TSTP Solution File: GRP238-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP238-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 06:58:51 EDT 2024
% Result : Unsatisfiable 43.60s 6.71s
% Output : CNFRefutation 43.60s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c11
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( inverse(sk_c11) = sk_c10
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_52,negated_conjecture,
( inverse(sk_c11) = sk_c10
| inverse(sk_c6) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c6,sk_c10) = sk_c11
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c10
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( inverse(sk_c11) = sk_c10
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c10
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( inverse(sk_c11) = sk_c10
| inverse(sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c10
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c4) = sk_c5
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c5,sk_c10) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( inverse(sk_c6) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c6,sk_c10) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c10
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( inverse(sk_c7) = sk_c8
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c10
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( inverse(sk_c9) = sk_c10
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c10
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c11
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c5,sk_c10) = sk_c11
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c6) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c6,sk_c10) = sk_c11
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| multiply(sk_c4,sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| multiply(sk_c5,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| inverse(sk_c6) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| multiply(sk_c6,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_84,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| multiply(sk_c7,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_85,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_86,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| multiply(sk_c8,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
cnf(c_87,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| inverse(sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
cnf(c_88,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| multiply(sk_c9,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
cnf(c_89,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c11
| multiply(sk_c2,sk_c11) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
cnf(c_90,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c3
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
cnf(c_91,negated_conjecture,
( multiply(sk_c5,sk_c10) = sk_c11
| multiply(sk_c2,sk_c11) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
cnf(c_92,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c3
| inverse(sk_c6) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
cnf(c_93,negated_conjecture,
( multiply(sk_c6,sk_c10) = sk_c11
| multiply(sk_c2,sk_c11) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
cnf(c_94,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c10
| multiply(sk_c2,sk_c11) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
cnf(c_95,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c3
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
cnf(c_96,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c10
| multiply(sk_c2,sk_c11) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
cnf(c_97,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c3
| inverse(sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
cnf(c_98,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c10
| multiply(sk_c2,sk_c11) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_50) ).
cnf(c_99,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c11
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
cnf(c_100,negated_conjecture,
( inverse(sk_c4) = sk_c5
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_52) ).
cnf(c_101,negated_conjecture,
( multiply(sk_c5,sk_c10) = sk_c11
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_53) ).
cnf(c_102,negated_conjecture,
( inverse(sk_c6) = sk_c11
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_54) ).
cnf(c_104,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c10
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_56) ).
cnf(c_105,negated_conjecture,
( inverse(sk_c7) = sk_c8
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_57) ).
cnf(c_106,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c10
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_58) ).
cnf(c_107,negated_conjecture,
( inverse(sk_c9) = sk_c10
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_59) ).
cnf(c_108,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c10
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_60) ).
cnf(c_109,negated_conjecture,
( multiply(X0,X1) != sk_c11
| multiply(X2,X3) != sk_c10
| multiply(X1,sk_c10) != sk_c11
| multiply(X3,sk_c11) != sk_c10
| multiply(X4,sk_c10) != sk_c11
| multiply(X5,sk_c11) != X6
| multiply(X7,sk_c10) != sk_c11
| multiply(X8,sk_c11) != sk_c10
| multiply(sk_c11,X6) != sk_c10
| inverse(X0) != X1
| inverse(X2) != X3
| inverse(X4) != sk_c11
| inverse(X5) != sk_c11
| inverse(X7) != sk_c11
| inverse(X8) != sk_c10
| inverse(sk_c11) != sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_61) ).
cnf(c_110,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_111,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_112,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_113,negated_conjecture,
( multiply(sk_c11,multiply(X0,sk_c11)) != sk_c10
| multiply(X1,inverse(X1)) != sk_c11
| multiply(X2,inverse(X2)) != sk_c10
| multiply(inverse(X1),sk_c10) != sk_c11
| multiply(inverse(X2),sk_c11) != sk_c10
| multiply(X3,sk_c10) != sk_c11
| multiply(X4,sk_c10) != sk_c11
| multiply(X5,sk_c11) != sk_c10
| inverse(X0) != sk_c11
| inverse(X3) != sk_c11
| inverse(X4) != sk_c11
| inverse(X5) != sk_c10
| inverse(sk_c11) != sk_c10 ),
inference(unflattening,[status(thm)],[c_109]) ).
cnf(c_658,negated_conjecture,
( multiply(X0,sk_c10) != sk_c11
| inverse(X0) != sk_c11
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_113]) ).
cnf(c_659,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c10
| multiply(inverse(X0),sk_c11) != sk_c10
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_113]) ).
cnf(c_660,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c11
| multiply(inverse(X0),sk_c10) != sk_c11
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_113]) ).
cnf(c_661,negated_conjecture,
( multiply(X0,sk_c11) != sk_c10
| inverse(X0) != sk_c10
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_113]) ).
cnf(c_662,negated_conjecture,
( multiply(sk_c11,multiply(X0,sk_c11)) != sk_c10
| inverse(X0) != sk_c11
| ~ sP4_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_113]) ).
cnf(c_663,negated_conjecture,
( inverse(sk_c11) != sk_c10
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_113]) ).
cnf(c_664,plain,
inverse(sk_c11) = sP5_iProver_def,
definition ).
cnf(c_665,plain,
multiply(sk_c9,sk_c11) = sP6_iProver_def,
definition ).
cnf(c_666,plain,
inverse(sk_c2) = sP7_iProver_def,
definition ).
cnf(c_667,plain,
inverse(sk_c9) = sP8_iProver_def,
definition ).
cnf(c_668,plain,
multiply(sk_c8,sk_c11) = sP9_iProver_def,
definition ).
cnf(c_669,plain,
inverse(sk_c7) = sP10_iProver_def,
definition ).
cnf(c_670,plain,
multiply(sk_c7,sk_c8) = sP11_iProver_def,
definition ).
cnf(c_671,plain,
multiply(sk_c6,sk_c10) = sP12_iProver_def,
definition ).
cnf(c_672,plain,
inverse(sk_c6) = sP13_iProver_def,
definition ).
cnf(c_673,plain,
multiply(sk_c5,sk_c10) = sP14_iProver_def,
definition ).
cnf(c_674,plain,
inverse(sk_c4) = sP15_iProver_def,
definition ).
cnf(c_675,plain,
multiply(sk_c4,sk_c5) = sP16_iProver_def,
definition ).
cnf(c_676,plain,
multiply(sk_c2,sk_c11) = sP17_iProver_def,
definition ).
cnf(c_677,plain,
multiply(sk_c11,sk_c3) = sP18_iProver_def,
definition ).
cnf(c_678,plain,
multiply(sk_c1,sk_c10) = sP19_iProver_def,
definition ).
cnf(c_679,plain,
inverse(sk_c1) = sP20_iProver_def,
definition ).
cnf(c_680,negated_conjecture,
( sP5_iProver_def != sk_c10
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_663,c_664]) ).
cnf(c_681,negated_conjecture,
( multiply(sk_c11,multiply(X0,sk_c11)) != sk_c10
| inverse(X0) != sk_c11
| ~ sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_662]) ).
cnf(c_682,negated_conjecture,
( multiply(X0,sk_c11) != sk_c10
| inverse(X0) != sk_c10
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_661]) ).
cnf(c_683,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c11
| multiply(inverse(X0),sk_c10) != sk_c11
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_660]) ).
cnf(c_685,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c10
| multiply(inverse(X0),sk_c11) != sk_c10
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_659]) ).
cnf(c_686,negated_conjecture,
( multiply(X0,sk_c10) != sk_c11
| inverse(X0) != sk_c11
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_658]) ).
cnf(c_687,negated_conjecture,
( sP6_iProver_def = sk_c10
| sP7_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_108,c_666,c_665]) ).
cnf(c_688,negated_conjecture,
( sP7_iProver_def = sk_c11
| sP8_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_107,c_667]) ).
cnf(c_689,negated_conjecture,
( sP7_iProver_def = sk_c11
| sP9_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_106,c_668]) ).
cnf(c_690,negated_conjecture,
( sP7_iProver_def = sk_c11
| sP10_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_105,c_669]) ).
cnf(c_691,negated_conjecture,
( sP7_iProver_def = sk_c11
| sP11_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_104,c_670]) ).
cnf(c_693,negated_conjecture,
( sP7_iProver_def = sk_c11
| sP13_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_102,c_672]) ).
cnf(c_694,negated_conjecture,
( sP7_iProver_def = sk_c11
| sP14_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_101,c_673]) ).
cnf(c_695,negated_conjecture,
( sP7_iProver_def = sk_c11
| sP15_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_100,c_674]) ).
cnf(c_696,negated_conjecture,
( sP7_iProver_def = sk_c11
| sP16_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_99,c_675]) ).
cnf(c_697,negated_conjecture,
( sP6_iProver_def = sk_c10
| sP17_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_98,c_676]) ).
cnf(c_698,negated_conjecture,
( sP8_iProver_def = sk_c10
| sP17_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_97]) ).
cnf(c_699,negated_conjecture,
( sP9_iProver_def = sk_c10
| sP17_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_96]) ).
cnf(c_700,negated_conjecture,
( sP10_iProver_def = sk_c8
| sP17_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_95]) ).
cnf(c_701,negated_conjecture,
( sP11_iProver_def = sk_c10
| sP17_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_94]) ).
cnf(c_702,negated_conjecture,
( sP12_iProver_def = sk_c11
| sP17_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_93]) ).
cnf(c_703,negated_conjecture,
( sP13_iProver_def = sk_c11
| sP17_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_92]) ).
cnf(c_704,negated_conjecture,
( sP14_iProver_def = sk_c11
| sP17_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_91]) ).
cnf(c_705,negated_conjecture,
( sP15_iProver_def = sk_c5
| sP17_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_90]) ).
cnf(c_706,negated_conjecture,
( sP16_iProver_def = sk_c11
| sP17_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_89]) ).
cnf(c_707,negated_conjecture,
( sP6_iProver_def = sk_c10
| sP18_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_88,c_677]) ).
cnf(c_708,negated_conjecture,
( sP8_iProver_def = sk_c10
| sP18_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_87]) ).
cnf(c_709,negated_conjecture,
( sP9_iProver_def = sk_c10
| sP18_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_86]) ).
cnf(c_710,negated_conjecture,
( sP10_iProver_def = sk_c8
| sP18_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_85]) ).
cnf(c_711,negated_conjecture,
( sP11_iProver_def = sk_c10
| sP18_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_84]) ).
cnf(c_712,negated_conjecture,
( sP12_iProver_def = sk_c11
| sP18_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_83]) ).
cnf(c_713,negated_conjecture,
( sP13_iProver_def = sk_c11
| sP18_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_82]) ).
cnf(c_714,negated_conjecture,
( sP14_iProver_def = sk_c11
| sP18_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_81]) ).
cnf(c_715,negated_conjecture,
( sP15_iProver_def = sk_c5
| sP18_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_80]) ).
cnf(c_716,negated_conjecture,
( sP16_iProver_def = sk_c11
| sP18_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_79]) ).
cnf(c_717,negated_conjecture,
( sP6_iProver_def = sk_c10
| sP19_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_78,c_678]) ).
cnf(c_718,negated_conjecture,
( sP8_iProver_def = sk_c10
| sP19_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_77]) ).
cnf(c_719,negated_conjecture,
( sP9_iProver_def = sk_c10
| sP19_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_76]) ).
cnf(c_720,negated_conjecture,
( sP10_iProver_def = sk_c8
| sP19_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_75]) ).
cnf(c_721,negated_conjecture,
( sP11_iProver_def = sk_c10
| sP19_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_74]) ).
cnf(c_722,negated_conjecture,
( sP12_iProver_def = sk_c11
| sP19_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_73]) ).
cnf(c_723,negated_conjecture,
( sP13_iProver_def = sk_c11
| sP19_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_72]) ).
cnf(c_724,negated_conjecture,
( sP14_iProver_def = sk_c11
| sP19_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_71]) ).
cnf(c_725,negated_conjecture,
( sP15_iProver_def = sk_c5
| sP19_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_70]) ).
cnf(c_726,negated_conjecture,
( sP16_iProver_def = sk_c11
| sP19_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_69]) ).
cnf(c_727,negated_conjecture,
( sP6_iProver_def = sk_c10
| sP20_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_68,c_679]) ).
cnf(c_728,negated_conjecture,
( sP8_iProver_def = sk_c10
| sP20_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_729,negated_conjecture,
( sP9_iProver_def = sk_c10
| sP20_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_730,negated_conjecture,
( sP10_iProver_def = sk_c8
| sP20_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_731,negated_conjecture,
( sP11_iProver_def = sk_c10
| sP20_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_732,negated_conjecture,
( sP12_iProver_def = sk_c11
| sP20_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_733,negated_conjecture,
( sP13_iProver_def = sk_c11
| sP20_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_734,negated_conjecture,
( sP14_iProver_def = sk_c11
| sP20_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_735,negated_conjecture,
( sP15_iProver_def = sk_c5
| sP20_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_736,negated_conjecture,
( sP16_iProver_def = sk_c11
| sP20_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_737,negated_conjecture,
( sP5_iProver_def = sk_c10
| sP6_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_738,negated_conjecture,
( sP5_iProver_def = sk_c10
| sP8_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_739,negated_conjecture,
( sP5_iProver_def = sk_c10
| sP9_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_740,negated_conjecture,
( sP5_iProver_def = sk_c10
| sP10_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_741,negated_conjecture,
( sP5_iProver_def = sk_c10
| sP11_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_742,negated_conjecture,
( sP5_iProver_def = sk_c10
| sP12_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_743,negated_conjecture,
( sP5_iProver_def = sk_c10
| sP13_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_745,negated_conjecture,
( sP5_iProver_def = sk_c10
| sP15_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_746,negated_conjecture,
( sP5_iProver_def = sk_c10
| sP16_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_747,plain,
X0 = X0,
theory(equality) ).
cnf(c_748,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_750,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_1103,plain,
( sk_c11 = sP7_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_687,c_688]) ).
cnf(c_1113,plain,
( sk_c11 = sP7_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_689,c_688]) ).
cnf(c_1130,plain,
( sk_c11 = sP7_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_691,c_689]) ).
cnf(c_1131,plain,
( sk_c11 = sP7_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_691,c_688]) ).
cnf(c_1132,plain,
( sk_c11 = sP7_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_691,c_687]) ).
cnf(c_1173,plain,
( multiply(sk_c9,sP13_iProver_def) = sP6_iProver_def
| sk_c11 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_693,c_665]) ).
cnf(c_1192,plain,
( multiply(sk_c9,sP16_iProver_def) = sP6_iProver_def
| sk_c11 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_696,c_665]) ).
cnf(c_1193,plain,
( inverse(sP16_iProver_def) = sP5_iProver_def
| sk_c11 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_696,c_664]) ).
cnf(c_1194,plain,
( sk_c11 = sP7_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_696,c_694]) ).
cnf(c_1195,plain,
( sk_c11 = sP7_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_696,c_693]) ).
cnf(c_1231,plain,
( multiply(sP10_iProver_def,sk_c11) = sP9_iProver_def
| sk_c3 = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_700,c_668]) ).
cnf(c_1249,plain,
( multiply(sk_c7,sP10_iProver_def) = sP11_iProver_def
| sk_c3 = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_700,c_670]) ).
cnf(c_1250,plain,
( multiply(sk_c7,sP10_iProver_def) = sP11_iProver_def
| sk_c11 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_690,c_670]) ).
cnf(c_1255,plain,
( multiply(sk_c6,sP11_iProver_def) = sP12_iProver_def
| sk_c11 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_691,c_671]) ).
cnf(c_1257,plain,
( multiply(sk_c6,sP8_iProver_def) = sP12_iProver_def
| sk_c11 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_688,c_671]) ).
cnf(c_1282,plain,
( multiply(sk_c4,sP15_iProver_def) = sP16_iProver_def
| sk_c11 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_695,c_675]) ).
cnf(c_1302,plain,
( multiply(sk_c11,sP17_iProver_def) = sP18_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_701,c_677]) ).
cnf(c_1303,plain,
( multiply(sk_c11,sP17_iProver_def) = sP18_iProver_def
| sk_c10 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_699,c_677]) ).
cnf(c_1304,plain,
( multiply(sk_c11,sP17_iProver_def) = sP18_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_698,c_677]) ).
cnf(c_1305,plain,
( multiply(sk_c11,sP17_iProver_def) = sP18_iProver_def
| sk_c10 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_697,c_677]) ).
cnf(c_1336,plain,
multiply(sP5_iProver_def,sk_c11) = identity,
inference(superposition,[status(thm)],[c_664,c_111]) ).
cnf(c_1337,plain,
multiply(sP15_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_674,c_111]) ).
cnf(c_1338,plain,
multiply(sP13_iProver_def,sk_c6) = identity,
inference(superposition,[status(thm)],[c_672,c_111]) ).
cnf(c_1339,plain,
multiply(sP10_iProver_def,sk_c7) = identity,
inference(superposition,[status(thm)],[c_669,c_111]) ).
cnf(c_1340,plain,
multiply(sP8_iProver_def,sk_c9) = identity,
inference(superposition,[status(thm)],[c_667,c_111]) ).
cnf(c_1341,plain,
multiply(sP20_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_679,c_111]) ).
cnf(c_1342,plain,
multiply(sP7_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_666,c_111]) ).
cnf(c_1361,plain,
( multiply(sk_c4,sP15_iProver_def) = sP16_iProver_def
| sk_c3 = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_705,c_675]) ).
cnf(c_1382,plain,
( multiply(sk_c1,sP18_iProver_def) = sP19_iProver_def
| sk_c10 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_707,c_678]) ).
cnf(c_1407,plain,
( sk_c10 != X0
| sP5_iProver_def != X0
| sP5_iProver_def = sk_c10 ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_1408,plain,
( sk_c10 != sk_c11
| sP5_iProver_def != sk_c11
| sP5_iProver_def = sk_c10 ),
inference(instantiation,[status(thm)],[c_1407]) ).
cnf(c_1410,plain,
( X0 != X1
| sk_c10 != X1
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_1411,plain,
( X0 != sk_c10
| sk_c10 != sk_c10
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_1410]) ).
cnf(c_1412,plain,
sk_c10 = sk_c10,
inference(instantiation,[status(thm)],[c_747]) ).
cnf(c_1423,plain,
( multiply(sk_c1,sP18_iProver_def) = sP19_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_708,c_678]) ).
cnf(c_1451,plain,
multiply(identity,sk_c10) = sk_c10,
inference(instantiation,[status(thm)],[c_110]) ).
cnf(c_1453,plain,
( X0 != X1
| sk_c10 != X1
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_1455,plain,
( sk_c10 != sk_c10
| sP6_iProver_def != sk_c10
| sk_c10 = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_1411]) ).
cnf(c_1456,plain,
( sk_c10 != sk_c10
| sP8_iProver_def != sk_c10
| sk_c10 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_1411]) ).
cnf(c_1457,plain,
( sk_c10 != sk_c10
| sP9_iProver_def != sk_c10
| sk_c10 = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_1411]) ).
cnf(c_1458,plain,
( sk_c10 != sk_c10
| sP11_iProver_def != sk_c10
| sk_c10 = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_1411]) ).
cnf(c_1468,plain,
( multiply(sk_c1,sP18_iProver_def) = sP19_iProver_def
| sk_c10 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_709,c_678]) ).
cnf(c_1500,plain,
( multiply(sk_c7,sP10_iProver_def) = sP11_iProver_def
| sk_c10 = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_710,c_670]) ).
cnf(c_1501,plain,
( multiply(sP10_iProver_def,sk_c11) = sP9_iProver_def
| sk_c10 = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_710,c_668]) ).
cnf(c_1514,plain,
( multiply(sk_c1,sP18_iProver_def) = sP19_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_711,c_678]) ).
cnf(c_1540,plain,
( X0 != sP8_iProver_def
| sk_c10 != sP8_iProver_def
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_1410]) ).
cnf(c_1543,plain,
( X0 != sP9_iProver_def
| sk_c10 != sP9_iProver_def
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_1410]) ).
cnf(c_1546,plain,
( X0 != sP11_iProver_def
| sk_c10 != sP11_iProver_def
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_1410]) ).
cnf(c_1547,plain,
( sk_c11 != sP11_iProver_def
| sk_c10 != sP11_iProver_def
| sk_c10 = sk_c11 ),
inference(instantiation,[status(thm)],[c_1546]) ).
cnf(c_1556,plain,
( multiply(sk_c1,sP18_iProver_def) = sP19_iProver_def
| sk_c11 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_712,c_678]) ).
cnf(c_1587,plain,
( X0 != sP11_iProver_def
| sk_c10 != sP11_iProver_def
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1453]) ).
cnf(c_1588,plain,
( sk_c11 != sP11_iProver_def
| sk_c10 != sP11_iProver_def
| sk_c11 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1587]) ).
cnf(c_1589,plain,
( X0 != sP9_iProver_def
| sk_c10 != sP9_iProver_def
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1453]) ).
cnf(c_1591,plain,
( X0 != sP8_iProver_def
| sk_c10 != sP8_iProver_def
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1453]) ).
cnf(c_1592,plain,
( sk_c11 != sP8_iProver_def
| sk_c10 != sP8_iProver_def
| sk_c11 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1591]) ).
cnf(c_1593,plain,
( X0 != sP6_iProver_def
| sk_c10 != sP6_iProver_def
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1453]) ).
cnf(c_1606,plain,
( multiply(sk_c1,sP18_iProver_def) = sP19_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_713,c_678]) ).
cnf(c_1631,plain,
( sP5_iProver_def != X0
| sP6_iProver_def != X0
| sP5_iProver_def = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_1633,plain,
( sP5_iProver_def != X0
| sP8_iProver_def != X0
| sP5_iProver_def = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_1643,plain,
( multiply(sk_c1,sP18_iProver_def) = sP19_iProver_def
| sk_c11 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_714,c_678]) ).
cnf(c_1670,plain,
( sP5_iProver_def != X0
| sP11_iProver_def != X0
| sP5_iProver_def = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_1671,plain,
( sP5_iProver_def != sk_c11
| sP11_iProver_def != sk_c11
| sP5_iProver_def = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_1670]) ).
cnf(c_1677,plain,
( X0 != X1
| sP6_iProver_def != X1
| X0 = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_1685,plain,
( multiply(sk_c4,sP15_iProver_def) = sP16_iProver_def
| sk_c10 = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_715,c_675]) ).
cnf(c_1706,plain,
( X0 != X1
| sP8_iProver_def != X1
| X0 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_1718,plain,
( multiply(sk_c1,sP18_iProver_def) = sP19_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_716,c_678]) ).
cnf(c_1746,plain,
( X0 != X1
| sP9_iProver_def != X1
| X0 = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_1819,plain,
multiply(identity,sP11_iProver_def) = sP11_iProver_def,
inference(instantiation,[status(thm)],[c_110]) ).
cnf(c_1821,plain,
( X0 != X1
| sP11_iProver_def != X1
| X0 = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_1827,plain,
( sk_c10 != sP11_iProver_def
| sP11_iProver_def != sP11_iProver_def
| sP11_iProver_def = sk_c10 ),
inference(instantiation,[status(thm)],[c_1587]) ).
cnf(c_1828,plain,
sP11_iProver_def = sP11_iProver_def,
inference(instantiation,[status(thm)],[c_747]) ).
cnf(c_1848,plain,
( sk_c11 = sP19_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_718,c_717]) ).
cnf(c_1857,plain,
( multiply(sk_c1,sP8_iProver_def) = sP19_iProver_def
| sk_c11 = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_718,c_678]) ).
cnf(c_1903,plain,
( sk_c10 != sP9_iProver_def
| sP9_iProver_def != sP9_iProver_def
| sP9_iProver_def = sk_c10 ),
inference(instantiation,[status(thm)],[c_1589]) ).
cnf(c_1904,plain,
sP9_iProver_def = sP9_iProver_def,
inference(instantiation,[status(thm)],[c_747]) ).
cnf(c_1910,plain,
( sk_c10 != sP8_iProver_def
| sP8_iProver_def != sP8_iProver_def
| sP8_iProver_def = sk_c10 ),
inference(instantiation,[status(thm)],[c_1591]) ).
cnf(c_1911,plain,
sP8_iProver_def = sP8_iProver_def,
inference(instantiation,[status(thm)],[c_747]) ).
cnf(c_1917,plain,
( sk_c10 != sP6_iProver_def
| sP6_iProver_def != sP6_iProver_def
| sP6_iProver_def = sk_c10 ),
inference(instantiation,[status(thm)],[c_1593]) ).
cnf(c_1918,plain,
sP6_iProver_def = sP6_iProver_def,
inference(instantiation,[status(thm)],[c_747]) ).
cnf(c_1949,plain,
( sk_c11 = sP19_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_719,c_718]) ).
cnf(c_2025,plain,
( multiply(sk_c7,sP10_iProver_def) = sP11_iProver_def
| sk_c11 = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_720,c_670]) ).
cnf(c_2049,plain,
( sk_c11 = sP19_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_721,c_719]) ).
cnf(c_2050,plain,
( sk_c11 = sP19_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_721,c_718]) ).
cnf(c_2051,plain,
( sk_c11 = sP19_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_721,c_717]) ).
cnf(c_2060,plain,
( multiply(sk_c1,sP11_iProver_def) = sP19_iProver_def
| sk_c11 = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_721,c_678]) ).
cnf(c_2129,plain,
( multiply(sk_c2,sP19_iProver_def) = sP17_iProver_def
| sk_c11 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_722,c_676]) ).
cnf(c_2183,plain,
( multiply(sk_c2,sP19_iProver_def) = sP17_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_723,c_676]) ).
cnf(c_2187,plain,
( inverse(sP19_iProver_def) = sP5_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_723,c_664]) ).
cnf(c_2267,plain,
( sk_c10 != sk_c10
| sP5_iProver_def != sk_c10
| sk_c10 = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_1411]) ).
cnf(c_2268,plain,
( inverse(X0) != X1
| sk_c11 != X1
| inverse(X0) = sk_c11 ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_2294,plain,
sP5_iProver_def = sP5_iProver_def,
inference(instantiation,[status(thm)],[c_747]) ).
cnf(c_2295,plain,
( X0 != X1
| sP5_iProver_def != X1
| sP5_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_2301,plain,
( multiply(sk_c4,sP15_iProver_def) = sP16_iProver_def
| sk_c11 = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_725,c_675]) ).
cnf(c_2366,plain,
( X0 != X1
| sP6_iProver_def != X1
| sP6_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_2452,plain,
( X0 != X1
| sP8_iProver_def != X1
| sP8_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_2455,plain,
( X0 != X1
| sP9_iProver_def != X1
| sP9_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_2458,plain,
( X0 != X1
| sP11_iProver_def != X1
| sP11_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_2470,plain,
( multiply(identity,sk_c10) != X0
| X1 != X0
| multiply(identity,sk_c10) = X1 ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_2472,plain,
( sk_c10 != X0
| identity != X1
| multiply(identity,sk_c10) = multiply(X1,X0) ),
inference(instantiation,[status(thm)],[c_750]) ).
cnf(c_2496,plain,
( sk_c11 = sP20_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_728,c_727]) ).
cnf(c_2564,plain,
multiply(identity,identity) = identity,
inference(instantiation,[status(thm)],[c_110]) ).
cnf(c_2569,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_747]) ).
cnf(c_2571,plain,
( X0 != X1
| identity != X1
| X0 = identity ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_2580,plain,
( X0 != sk_c10
| sP8_iProver_def != sk_c10
| X0 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_1706]) ).
cnf(c_2591,plain,
( X0 != sk_c10
| sP9_iProver_def != sk_c10
| X0 = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_1746]) ).
cnf(c_2606,plain,
( X0 != sk_c10
| sP11_iProver_def != sk_c10
| X0 = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_1821]) ).
cnf(c_2613,plain,
( inverse(X0) != X1
| X2 != X1
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_2619,plain,
( inverse(sk_c6) != sP13_iProver_def
| sk_c11 != sP13_iProver_def
| inverse(sk_c6) = sk_c11 ),
inference(instantiation,[status(thm)],[c_2268]) ).
cnf(c_2642,plain,
( sk_c11 = sP20_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_729,c_728]) ).
cnf(c_2725,plain,
( multiply(sk_c7,sP10_iProver_def) = sP11_iProver_def
| sk_c11 = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_730,c_670]) ).
cnf(c_2756,plain,
( sk_c11 = sP20_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_731,c_729]) ).
cnf(c_2757,plain,
( sk_c11 = sP20_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_731,c_728]) ).
cnf(c_2758,plain,
( sk_c11 = sP20_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_731,c_727]) ).
cnf(c_2924,plain,
( multiply(sk_c2,sP20_iProver_def) = sP17_iProver_def
| sk_c11 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_732,c_676]) ).
cnf(c_2928,plain,
( inverse(sP20_iProver_def) = sP5_iProver_def
| sk_c11 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_732,c_664]) ).
cnf(c_3010,plain,
( sk_c11 = sP13_iProver_def
| sP19_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_733,c_723]) ).
cnf(c_3014,plain,
( multiply(sk_c2,sP20_iProver_def) = sP17_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_733,c_676]) ).
cnf(c_3018,plain,
( inverse(sP20_iProver_def) = sP5_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_733,c_664]) ).
cnf(c_3103,plain,
( sk_c11 = sP14_iProver_def
| sP19_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_734,c_724]) ).
cnf(c_3112,plain,
( inverse(sP20_iProver_def) = sP5_iProver_def
| sk_c11 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_734,c_664]) ).
cnf(c_3169,plain,
( multiply(sk_c4,sP15_iProver_def) = sP16_iProver_def
| sk_c11 = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_735,c_675]) ).
cnf(c_3191,plain,
( sk_c11 = sP16_iProver_def
| sP19_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_736,c_726]) ).
cnf(c_3201,plain,
( inverse(sP20_iProver_def) = sP5_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_736,c_664]) ).
cnf(c_3234,plain,
( multiply(identity,sP11_iProver_def) != X0
| X1 != X0
| X1 = multiply(identity,sP11_iProver_def) ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_3449,plain,
( sk_c10 = sP5_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_738,c_737]) ).
cnf(c_3464,plain,
( multiply(sk_c1,sP8_iProver_def) = sP19_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_738,c_678]) ).
cnf(c_3618,plain,
( sk_c10 = sP5_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_739,c_738]) ).
cnf(c_3709,plain,
( X0 != sk_c10
| sP6_iProver_def != sk_c10
| sP6_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_2366]) ).
cnf(c_3718,plain,
( X0 != sP8_iProver_def
| sP8_iProver_def != sP8_iProver_def
| sP8_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_2452]) ).
cnf(c_3724,plain,
( multiply(sk_c7,sP10_iProver_def) = sP11_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_740,c_670]) ).
cnf(c_3735,plain,
( X0 != sP9_iProver_def
| sP9_iProver_def != sP9_iProver_def
| sP9_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_2455]) ).
cnf(c_3764,plain,
( sk_c10 = sP5_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_741,c_739]) ).
cnf(c_3765,plain,
( sk_c10 = sP5_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_741,c_738]) ).
cnf(c_3766,plain,
( sk_c10 = sP5_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_741,c_737]) ).
cnf(c_3781,plain,
( multiply(sk_c1,sP11_iProver_def) = sP19_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_741,c_678]) ).
cnf(c_3826,plain,
( X0 != sk_c10
| sP11_iProver_def != sk_c10
| sP11_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_2458]) ).
cnf(c_3828,plain,
( X0 != sP11_iProver_def
| sP11_iProver_def != sP11_iProver_def
| sP11_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_2458]) ).
cnf(c_3829,plain,
( sk_c11 != sP11_iProver_def
| sP11_iProver_def != sP11_iProver_def
| sP11_iProver_def = sk_c11 ),
inference(instantiation,[status(thm)],[c_3828]) ).
cnf(c_3916,plain,
( sk_c11 = sP12_iProver_def
| sk_c10 = sP11_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_742,c_711]) ).
cnf(c_3917,plain,
( sk_c11 = sP12_iProver_def
| sk_c10 = sP9_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_742,c_709]) ).
cnf(c_3918,plain,
( sk_c11 = sP12_iProver_def
| sk_c10 = sP8_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_742,c_708]) ).
cnf(c_3919,plain,
( sk_c11 = sP12_iProver_def
| sk_c10 = sP6_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_742,c_707]) ).
cnf(c_4093,plain,
( sk_c11 = sP13_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_743,c_713]) ).
cnf(c_4345,plain,
( multiply(identity,sk_c10) != sk_c10
| X0 != sk_c10
| multiply(identity,sk_c10) = X0 ),
inference(instantiation,[status(thm)],[c_2470]) ).
cnf(c_4346,plain,
( multiply(identity,sk_c10) != sk_c10
| sk_c11 != sk_c10
| multiply(identity,sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_4345]) ).
cnf(c_4357,plain,
( sk_c10 != sP11_iProver_def
| identity != X0
| multiply(identity,sk_c10) = multiply(X0,sP11_iProver_def) ),
inference(instantiation,[status(thm)],[c_2472]) ).
cnf(c_4391,plain,
( multiply(sk_c4,sP15_iProver_def) = sP16_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_745,c_675]) ).
cnf(c_4437,plain,
( sk_c11 = sP16_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_746,c_716]) ).
cnf(c_4521,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_4812,plain,
( X0 != sk_c10
| sP5_iProver_def != sk_c10
| sP5_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_2295]) ).
cnf(c_4813,plain,
( sk_c11 != sk_c10
| sP5_iProver_def != sk_c10
| sP5_iProver_def = sk_c11 ),
inference(instantiation,[status(thm)],[c_4812]) ).
cnf(c_4881,plain,
( sk_c10 != sP18_iProver_def
| sP5_iProver_def != sP18_iProver_def
| sP5_iProver_def = sk_c10 ),
inference(instantiation,[status(thm)],[c_1407]) ).
cnf(c_4883,plain,
( X0 != sP18_iProver_def
| sk_c10 != sP18_iProver_def
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1453]) ).
cnf(c_4884,plain,
( X0 != sP18_iProver_def
| sk_c10 != sP18_iProver_def
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_1410]) ).
cnf(c_4885,plain,
( sk_c11 != sP18_iProver_def
| sk_c10 != sP18_iProver_def
| sk_c10 = sk_c11 ),
inference(instantiation,[status(thm)],[c_4884]) ).
cnf(c_4888,plain,
( sk_c10 != sP5_iProver_def
| sP5_iProver_def != sP5_iProver_def
| sP5_iProver_def = sk_c10 ),
inference(instantiation,[status(thm)],[c_1407]) ).
cnf(c_4890,plain,
( X0 != sP5_iProver_def
| sk_c10 != sP5_iProver_def
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1453]) ).
cnf(c_4893,plain,
( sk_c11 != sP5_iProver_def
| sk_c10 != sP5_iProver_def
| sk_c11 = sk_c10 ),
inference(instantiation,[status(thm)],[c_4890]) ).
cnf(c_4900,plain,
( inverse(sk_c8) != sk_c10
| sk_c10 != sP9_iProver_def
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_668,c_682]) ).
cnf(c_4901,plain,
( inverse(sk_c9) != sk_c10
| sk_c10 != sP6_iProver_def
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_665,c_682]) ).
cnf(c_4912,plain,
( multiply(X0,sP19_iProver_def) != sk_c10
| inverse(X0) != sk_c10
| ~ sP3_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_723,c_682]) ).
cnf(c_4928,plain,
( sk_c10 != sP6_iProver_def
| sk_c10 != sP8_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4901,c_667]) ).
cnf(c_4989,plain,
( multiply(sk_c11,sP19_iProver_def) != sk_c10
| inverse(sk_c11) != sk_c10
| ~ sP3_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(instantiation,[status(thm)],[c_4912]) ).
cnf(c_5082,plain,
( inverse(sk_c2) != sP7_iProver_def
| X0 != sP7_iProver_def
| inverse(sk_c2) = X0 ),
inference(instantiation,[status(thm)],[c_2613]) ).
cnf(c_5083,plain,
( inverse(sk_c9) != sP8_iProver_def
| X0 != sP8_iProver_def
| inverse(sk_c9) = X0 ),
inference(instantiation,[status(thm)],[c_2613]) ).
cnf(c_5085,plain,
( inverse(sk_c6) != sP13_iProver_def
| X0 != sP13_iProver_def
| inverse(sk_c6) = X0 ),
inference(instantiation,[status(thm)],[c_2613]) ).
cnf(c_5096,plain,
( inverse(sk_c6) != sk_c11
| sk_c11 != sP12_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_671,c_686]) ).
cnf(c_5097,plain,
( inverse(sk_c1) != sk_c11
| sk_c11 != sP19_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_678,c_686]) ).
cnf(c_5131,plain,
( sk_c11 != sP19_iProver_def
| sk_c11 != sP20_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5097,c_679]) ).
cnf(c_5135,plain,
( sk_c11 != sP12_iProver_def
| sk_c11 != sP13_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5096,c_672]) ).
cnf(c_5353,plain,
( sP5_iProver_def != sk_c10
| sP18_iProver_def != sk_c10
| sP5_iProver_def = sP18_iProver_def ),
inference(instantiation,[status(thm)],[c_4812]) ).
cnf(c_5377,plain,
( multiply(sk_c11,sP17_iProver_def) != sk_c10
| inverse(sk_c2) != sk_c11
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_676,c_681]) ).
cnf(c_5399,plain,
( multiply(sk_c11,sP17_iProver_def) != sk_c10
| sk_c11 != sP7_iProver_def
| ~ sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5377,c_666]) ).
cnf(c_5482,plain,
( sk_c11 != X0
| sP5_iProver_def != X0
| sk_c11 = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_5713,plain,
( inverse(sk_c6) != sk_c11
| X0 != sk_c11
| inverse(sk_c6) = X0 ),
inference(instantiation,[status(thm)],[c_2613]) ).
cnf(c_5762,plain,
( sk_c10 != sP18_iProver_def
| sP18_iProver_def != sP18_iProver_def
| sP18_iProver_def = sk_c10 ),
inference(instantiation,[status(thm)],[c_4883]) ).
cnf(c_5763,plain,
sP18_iProver_def = sP18_iProver_def,
inference(instantiation,[status(thm)],[c_747]) ).
cnf(c_5863,plain,
( inverse(X0) != X1
| sk_c11 != X1
| sk_c11 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_5928,plain,
( multiply(inverse(sk_c11),sk_c11) != sk_c10
| multiply(sk_c11,sP5_iProver_def) != sk_c10
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_664,c_685]) ).
cnf(c_5962,plain,
( multiply(sk_c11,sP5_iProver_def) != sk_c10
| sk_c10 != identity
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5928,c_664,c_1336]) ).
cnf(c_6385,plain,
( sP6_iProver_def != sk_c10
| sP8_iProver_def != sk_c10
| sP6_iProver_def = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_2580]) ).
cnf(c_6387,plain,
( sP8_iProver_def != sk_c10
| sP9_iProver_def != sk_c10
| sP9_iProver_def = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_2580]) ).
cnf(c_6395,plain,
multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sP11_iProver_def,X0),
inference(superposition,[status(thm)],[c_670,c_112]) ).
cnf(c_6397,plain,
multiply(sk_c9,multiply(sk_c11,X0)) = multiply(sP6_iProver_def,X0),
inference(superposition,[status(thm)],[c_665,c_112]) ).
cnf(c_6402,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_111,c_112]) ).
cnf(c_6404,plain,
multiply(sP5_iProver_def,multiply(sk_c11,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1336,c_112]) ).
cnf(c_6405,plain,
multiply(sP15_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1337,c_112]) ).
cnf(c_6406,plain,
multiply(sP13_iProver_def,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1338,c_112]) ).
cnf(c_6407,plain,
multiply(sP10_iProver_def,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1339,c_112]) ).
cnf(c_6408,plain,
multiply(sP8_iProver_def,multiply(sk_c9,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1340,c_112]) ).
cnf(c_6409,plain,
multiply(sP20_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1341,c_112]) ).
cnf(c_6410,plain,
multiply(sP7_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1342,c_112]) ).
cnf(c_6416,plain,
multiply(sP7_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_6410,c_110]) ).
cnf(c_6417,plain,
multiply(sP20_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_6409,c_110]) ).
cnf(c_6418,plain,
multiply(sP8_iProver_def,multiply(sk_c9,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_6408,c_110]) ).
cnf(c_6419,plain,
multiply(sP10_iProver_def,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_6407,c_110]) ).
cnf(c_6420,plain,
multiply(sP13_iProver_def,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_6406,c_110]) ).
cnf(c_6421,plain,
multiply(sP15_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_6405,c_110]) ).
cnf(c_6422,plain,
multiply(sP5_iProver_def,multiply(sk_c11,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_6404,c_110]) ).
cnf(c_6468,plain,
( sP9_iProver_def != sk_c10
| sP11_iProver_def != sk_c10
| sP11_iProver_def = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_2591]) ).
cnf(c_6495,plain,
( multiply(identity,sk_c10) != sk_c10
| sP11_iProver_def != sk_c10
| multiply(identity,sk_c10) = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_2606]) ).
cnf(c_6880,plain,
( sk_c10 != sP11_iProver_def
| identity != identity
| multiply(identity,sk_c10) = multiply(identity,sP11_iProver_def) ),
inference(instantiation,[status(thm)],[c_4357]) ).
cnf(c_7490,plain,
( sk_c11 = sP16_iProver_def
| sP7_iProver_def = sP20_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1194,c_736]) ).
cnf(c_7491,plain,
( sk_c11 = sP14_iProver_def
| sP7_iProver_def = sP20_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1194,c_734]) ).
cnf(c_7494,plain,
( sk_c11 = sP16_iProver_def
| sP7_iProver_def = sP19_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1194,c_726]) ).
cnf(c_7495,plain,
( sk_c11 = sP14_iProver_def
| sP7_iProver_def = sP19_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1194,c_724]) ).
cnf(c_7500,plain,
( multiply(sk_c2,sP7_iProver_def) = sP17_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1194,c_676]) ).
cnf(c_7504,plain,
( inverse(sP7_iProver_def) = sP5_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1194,c_664]) ).
cnf(c_7611,plain,
( sk_c11 = sP16_iProver_def
| sP7_iProver_def = sP20_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1195,c_736]) ).
cnf(c_7613,plain,
( sk_c11 = sP13_iProver_def
| sP7_iProver_def = sP20_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1195,c_733]) ).
cnf(c_7621,plain,
( multiply(sk_c2,sP7_iProver_def) = sP17_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1195,c_676]) ).
cnf(c_7625,plain,
( inverse(sP7_iProver_def) = sP5_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1195,c_664]) ).
cnf(c_7931,plain,
( multiply(X0,sP19_iProver_def) != sk_c10
| inverse(X0) != sk_c10
| ~ sP3_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_1848,c_682]) ).
cnf(c_7986,plain,
( multiply(sk_c11,sP19_iProver_def) != sk_c10
| inverse(sk_c11) != sk_c10
| ~ sP3_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_7931]) ).
cnf(c_8053,plain,
( multiply(X0,sP19_iProver_def) != sk_c10
| inverse(X0) != sk_c10
| ~ sP3_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1949,c_682]) ).
cnf(c_8102,plain,
( multiply(sk_c11,sP19_iProver_def) != sk_c10
| inverse(sk_c11) != sk_c10
| ~ sP3_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_8053]) ).
cnf(c_8279,plain,
( multiply(X0,sP19_iProver_def) != sk_c10
| inverse(X0) != sk_c10
| ~ sP3_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_2049,c_682]) ).
cnf(c_8290,plain,
( inverse(sP19_iProver_def) = sP5_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_2049,c_664]) ).
cnf(c_8331,plain,
( multiply(sk_c11,sP19_iProver_def) != sk_c10
| inverse(sk_c11) != sk_c10
| ~ sP3_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_8279]) ).
cnf(c_8461,plain,
( inverse(sP19_iProver_def) = sP5_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_2050,c_664]) ).
cnf(c_8561,plain,
( inverse(sP19_iProver_def) = sP5_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_2051,c_664]) ).
cnf(c_8701,plain,
( inverse(sP20_iProver_def) = sP5_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_2496,c_664]) ).
cnf(c_8853,plain,
( inverse(sP20_iProver_def) = sP5_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_2642,c_664]) ).
cnf(c_9143,plain,
( sP7_iProver_def = sP20_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_2756,c_1130]) ).
cnf(c_9159,plain,
( inverse(sP20_iProver_def) = sP5_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_2756,c_664]) ).
cnf(c_9258,plain,
( sP7_iProver_def = sP20_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_2757,c_1131]) ).
cnf(c_9413,plain,
( sP6_iProver_def = sP11_iProver_def
| sP7_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_2758,c_1132]) ).
cnf(c_9426,plain,
( multiply(sP20_iProver_def,sk_c3) = sP18_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_2758,c_677]) ).
cnf(c_9784,plain,
( multiply(identity,sP11_iProver_def) != sP11_iProver_def
| X0 != sP11_iProver_def
| X0 = multiply(identity,sP11_iProver_def) ),
inference(instantiation,[status(thm)],[c_3234]) ).
cnf(c_9785,plain,
( multiply(identity,sP11_iProver_def) != sP11_iProver_def
| sk_c11 != sP11_iProver_def
| sk_c11 = multiply(identity,sP11_iProver_def) ),
inference(instantiation,[status(thm)],[c_9784]) ).
cnf(c_10280,plain,
( sP11_iProver_def != sk_c10
| sP18_iProver_def != sk_c10
| sP11_iProver_def = sP18_iProver_def ),
inference(instantiation,[status(thm)],[c_3826]) ).
cnf(c_10530,plain,
( inverse(sk_c11) != sP5_iProver_def
| sk_c10 != sP5_iProver_def
| inverse(sk_c11) = sk_c10 ),
inference(instantiation,[status(thm)],[c_4890]) ).
cnf(c_10575,plain,
( sP14_iProver_def = sP16_iProver_def
| sP19_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_3191,c_3103]) ).
cnf(c_10576,plain,
( sP13_iProver_def = sP16_iProver_def
| sP19_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_3191,c_3010]) ).
cnf(c_10614,plain,
( multiply(sk_c2,sP16_iProver_def) = sP17_iProver_def
| sP19_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_3191,c_676]) ).
cnf(c_10884,plain,
( sP6_iProver_def = sP8_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_3449,c_680]) ).
cnf(c_11116,plain,
( multiply(identity,sk_c10) != sk_c10
| sP5_iProver_def != sk_c10
| multiply(identity,sk_c10) = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_4345]) ).
cnf(c_11151,plain,
( sP8_iProver_def = sP9_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_3618,c_680]) ).
cnf(c_11607,plain,
( sP9_iProver_def = sP11_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_3764,c_680]) ).
cnf(c_11756,plain,
( sP8_iProver_def = sP11_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_3765,c_680]) ).
cnf(c_11867,plain,
( sP5_iProver_def != sP18_iProver_def
| sP11_iProver_def != sP18_iProver_def
| sP5_iProver_def = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_1670]) ).
cnf(c_11960,plain,
( sk_c10 != sP8_iProver_def
| sP6_iProver_def != sP8_iProver_def
| sk_c10 = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_1540]) ).
cnf(c_11961,plain,
( X0 != sP8_iProver_def
| sP6_iProver_def != sP8_iProver_def
| sP6_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_2366]) ).
cnf(c_11967,plain,
( sP6_iProver_def != sP9_iProver_def
| sP9_iProver_def != sP9_iProver_def
| sP9_iProver_def = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_3735]) ).
cnf(c_11970,plain,
( X0 != sP9_iProver_def
| sP6_iProver_def != sP9_iProver_def
| sP6_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_2366]) ).
cnf(c_12004,plain,
( sP6_iProver_def = sP11_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_3766,c_680]) ).
cnf(c_12114,plain,
( sP8_iProver_def != sP9_iProver_def
| sP9_iProver_def != sP9_iProver_def
| sP9_iProver_def = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_3735]) ).
cnf(c_12116,plain,
( sk_c10 != sP9_iProver_def
| sP8_iProver_def != sP9_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_1543]) ).
cnf(c_12117,plain,
( X0 != sP9_iProver_def
| sP8_iProver_def != sP9_iProver_def
| sP8_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_2452]) ).
cnf(c_12122,plain,
( sP6_iProver_def != sP11_iProver_def
| sP11_iProver_def != sP11_iProver_def
| sP11_iProver_def = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_3828]) ).
cnf(c_12123,plain,
( sk_c10 != sP11_iProver_def
| sP6_iProver_def != sP11_iProver_def
| sP6_iProver_def = sk_c10 ),
inference(instantiation,[status(thm)],[c_1587]) ).
cnf(c_12125,plain,
( X0 != sP11_iProver_def
| sP6_iProver_def != sP11_iProver_def
| sP6_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_2366]) ).
cnf(c_12126,plain,
( X0 != sP11_iProver_def
| sP6_iProver_def != sP11_iProver_def
| X0 = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_1677]) ).
cnf(c_12129,plain,
( sP8_iProver_def != sP11_iProver_def
| sP11_iProver_def != sP11_iProver_def
| sP11_iProver_def = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_3828]) ).
cnf(c_12132,plain,
( X0 != sP11_iProver_def
| sP8_iProver_def != sP11_iProver_def
| sP8_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_2452]) ).
cnf(c_12133,plain,
( X0 != sP11_iProver_def
| sP8_iProver_def != sP11_iProver_def
| X0 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_1706]) ).
cnf(c_12342,plain,
( sP9_iProver_def != sP11_iProver_def
| sP11_iProver_def != sP11_iProver_def
| sP11_iProver_def = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_3828]) ).
cnf(c_12357,plain,
( sk_c11 != sk_c10
| sP5_iProver_def != sk_c10
| sk_c11 = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_5482]) ).
cnf(c_12360,plain,
( sk_c11 != sP18_iProver_def
| sP5_iProver_def != sP18_iProver_def
| sk_c11 = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_5482]) ).
cnf(c_12547,plain,
( inverse(sP13_iProver_def) = sP5_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_4093,c_664]) ).
cnf(c_13198,plain,
( multiply(sk_c8,sP16_iProver_def) = sP9_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_4437,c_668]) ).
cnf(c_13307,plain,
( X0 != sP6_iProver_def
| sP9_iProver_def != sP6_iProver_def
| sP9_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_2455]) ).
cnf(c_13318,plain,
( sP8_iProver_def != sP8_iProver_def
| sP9_iProver_def != sP8_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_3718]) ).
cnf(c_13329,plain,
( X0 != sP8_iProver_def
| sP11_iProver_def != sP8_iProver_def
| X0 = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_1821]) ).
cnf(c_13330,plain,
( sk_c11 != sP8_iProver_def
| sP11_iProver_def != sP8_iProver_def
| sk_c11 = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_13329]) ).
cnf(c_13390,plain,
multiply(sP7_iProver_def,sP17_iProver_def) = sk_c11,
inference(superposition,[status(thm)],[c_676,c_6416]) ).
cnf(c_13393,plain,
( sP9_iProver_def != sP9_iProver_def
| sP11_iProver_def != sP9_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_3735]) ).
cnf(c_13402,plain,
multiply(sP20_iProver_def,sP19_iProver_def) = sk_c10,
inference(superposition,[status(thm)],[c_678,c_6417]) ).
cnf(c_13634,plain,
multiply(sP8_iProver_def,sP6_iProver_def) = sk_c11,
inference(superposition,[status(thm)],[c_665,c_6418]) ).
cnf(c_13656,plain,
multiply(sP13_iProver_def,sP12_iProver_def) = sk_c10,
inference(superposition,[status(thm)],[c_671,c_6420]) ).
cnf(c_13809,plain,
( multiply(sP8_iProver_def,sP6_iProver_def) = sP13_iProver_def
| sk_c11 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_1173,c_6418]) ).
cnf(c_13810,plain,
( sk_c11 = sP7_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_13809,c_13634]) ).
cnf(c_13816,plain,
multiply(sP5_iProver_def,sP18_iProver_def) = sk_c3,
inference(superposition,[status(thm)],[c_677,c_6422]) ).
cnf(c_14309,plain,
( sP8_iProver_def = sP11_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_11756,c_2050,c_2757,c_5131,c_11756]) ).
cnf(c_14321,plain,
( sP6_iProver_def = sP11_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_12004,c_680,c_2051,c_2294,c_2758,c_3766,c_4888,c_5131]) ).
cnf(c_14350,plain,
( multiply(sP8_iProver_def,sP6_iProver_def) = sP16_iProver_def
| sk_c11 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_1192,c_6418]) ).
cnf(c_14351,plain,
( sk_c11 = sP7_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_14350,c_13634]) ).
cnf(c_14376,plain,
( multiply(sP10_iProver_def,sP19_iProver_def) = sP9_iProver_def
| sk_c3 = sP17_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_2050,c_1231]) ).
cnf(c_14377,plain,
( multiply(sP10_iProver_def,sP19_iProver_def) = sP9_iProver_def
| sk_c3 = sP17_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_2049,c_1231]) ).
cnf(c_14980,plain,
( multiply(sP13_iProver_def,sP12_iProver_def) = sP11_iProver_def
| sk_c11 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_1255,c_6420]) ).
cnf(c_14981,plain,
( sk_c11 = sP7_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_14980,c_13656]) ).
cnf(c_15011,plain,
( multiply(sP13_iProver_def,sP12_iProver_def) = sP8_iProver_def
| sk_c11 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_1257,c_6420]) ).
cnf(c_15012,plain,
( sk_c11 = sP7_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_15011,c_13656]) ).
cnf(c_15869,plain,
( multiply(sP7_iProver_def,sP17_iProver_def) = sP18_iProver_def
| sk_c10 = sP11_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1130,c_1302]) ).
cnf(c_15922,plain,
( sk_c11 = sP18_iProver_def
| sk_c10 = sP11_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_15869,c_13390]) ).
cnf(c_16172,plain,
( multiply(sP7_iProver_def,sP17_iProver_def) = sP18_iProver_def
| sk_c10 = sP9_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1132,c_1303]) ).
cnf(c_16176,plain,
( multiply(sP7_iProver_def,sP17_iProver_def) = sP18_iProver_def
| sk_c10 = sP9_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1113,c_1303]) ).
cnf(c_16219,plain,
( sk_c11 = sP18_iProver_def
| sk_c10 = sP9_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_16176,c_13390]) ).
cnf(c_16235,plain,
( sk_c11 = sP18_iProver_def
| sk_c10 = sP9_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_16172,c_13390]) ).
cnf(c_16401,plain,
( inverse(sk_c2) != sP7_iProver_def
| sP9_iProver_def != sP7_iProver_def
| inverse(sk_c2) = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_5082]) ).
cnf(c_16508,plain,
( multiply(sP7_iProver_def,sP17_iProver_def) = sP18_iProver_def
| sk_c10 = sP8_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1113,c_1304]) ).
cnf(c_16509,plain,
( multiply(sP7_iProver_def,sP17_iProver_def) = sP18_iProver_def
| sk_c10 = sP8_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_1103,c_1304]) ).
cnf(c_16547,plain,
( sk_c11 = sP18_iProver_def
| sk_c10 = sP8_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_16509,c_13390]) ).
cnf(c_16551,plain,
( sk_c11 = sP18_iProver_def
| sk_c10 = sP8_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_16508,c_13390]) ).
cnf(c_16981,plain,
( multiply(sP7_iProver_def,sP17_iProver_def) = sP18_iProver_def
| sk_c10 = sP6_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_1103,c_1305]) ).
cnf(c_17019,plain,
( sk_c11 = sP18_iProver_def
| sk_c10 = sP6_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_16981,c_13390]) ).
cnf(c_18188,plain,
( multiply(sP20_iProver_def,sP19_iProver_def) = sP18_iProver_def
| sk_c10 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_1382,c_6417]) ).
cnf(c_18189,plain,
( sk_c10 = sP6_iProver_def
| sk_c10 = sP18_iProver_def ),
inference(light_normalisation,[status(thm)],[c_18188,c_13402]) ).
cnf(c_18238,plain,
( multiply(sP20_iProver_def,sP19_iProver_def) = sP18_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_1423,c_6417]) ).
cnf(c_18239,plain,
( sk_c10 = sP8_iProver_def
| sk_c10 = sP18_iProver_def ),
inference(light_normalisation,[status(thm)],[c_18238,c_13402]) ).
cnf(c_18293,plain,
( multiply(sP20_iProver_def,sP19_iProver_def) = sP18_iProver_def
| sk_c10 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1468,c_6417]) ).
cnf(c_18294,plain,
( sk_c10 = sP9_iProver_def
| sk_c10 = sP18_iProver_def ),
inference(light_normalisation,[status(thm)],[c_18293,c_13402]) ).
cnf(c_18985,plain,
( multiply(identity,sk_c10) != sP11_iProver_def
| X0 != sP11_iProver_def
| multiply(identity,sk_c10) = X0 ),
inference(instantiation,[status(thm)],[c_2470]) ).
cnf(c_18988,plain,
( multiply(identity,sk_c10) != sP11_iProver_def
| sk_c11 != sP11_iProver_def
| multiply(identity,sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_18985]) ).
cnf(c_18996,plain,
( inverse(sk_c9) != sP8_iProver_def
| sP11_iProver_def != sP8_iProver_def
| inverse(sk_c9) = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_5083]) ).
cnf(c_19023,plain,
( multiply(sP20_iProver_def,sP19_iProver_def) = sP18_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1514,c_6417]) ).
cnf(c_19024,plain,
( sk_c10 = sP11_iProver_def
| sk_c10 = sP18_iProver_def ),
inference(light_normalisation,[status(thm)],[c_19023,c_13402]) ).
cnf(c_19739,plain,
( multiply(sP20_iProver_def,sP19_iProver_def) = sP18_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1606,c_6417]) ).
cnf(c_19740,plain,
( sk_c11 = sP13_iProver_def
| sk_c10 = sP18_iProver_def ),
inference(light_normalisation,[status(thm)],[c_19739,c_13402]) ).
cnf(c_20289,plain,
( multiply(sP20_iProver_def,sP19_iProver_def) = sP18_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1718,c_6417]) ).
cnf(c_20290,plain,
( sk_c11 = sP16_iProver_def
| sk_c10 = sP18_iProver_def ),
inference(light_normalisation,[status(thm)],[c_20289,c_13402]) ).
cnf(c_20390,plain,
( multiply(sP20_iProver_def,sP19_iProver_def) = sP8_iProver_def
| sk_c11 = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_1857,c_6417]) ).
cnf(c_20391,plain,
( sk_c11 = sP19_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_20390,c_13402]) ).
cnf(c_20879,plain,
( multiply(sP20_iProver_def,sP19_iProver_def) = sP11_iProver_def
| sk_c11 = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_2060,c_6417]) ).
cnf(c_20880,plain,
( sk_c11 = sP19_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_20879,c_13402]) ).
cnf(c_21006,plain,
( multiply(sP7_iProver_def,sP17_iProver_def) = sP19_iProver_def
| sk_c11 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_2129,c_6416]) ).
cnf(c_21007,plain,
( sk_c11 = sP12_iProver_def
| sk_c11 = sP19_iProver_def ),
inference(light_normalisation,[status(thm)],[c_21006,c_13390]) ).
cnf(c_21284,plain,
( inverse(sk_c6) != sk_c10
| sP6_iProver_def != sk_c10
| sP6_iProver_def = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_3709]) ).
cnf(c_21307,plain,
( inverse(sk_c6) != sP13_iProver_def
| sP11_iProver_def != sP13_iProver_def
| inverse(sk_c6) = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_5085]) ).
cnf(c_21310,plain,
( inverse(sk_c6) != sP11_iProver_def
| sk_c10 != sP11_iProver_def
| sk_c10 = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_1546]) ).
cnf(c_21462,plain,
( multiply(sP7_iProver_def,sP17_iProver_def) = sP19_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_2183,c_6416]) ).
cnf(c_21463,plain,
( sk_c11 = sP13_iProver_def
| sk_c11 = sP19_iProver_def ),
inference(light_normalisation,[status(thm)],[c_21462,c_13390]) ).
cnf(c_22954,plain,
( multiply(sP7_iProver_def,sP17_iProver_def) = sP20_iProver_def
| sk_c11 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_2924,c_6416]) ).
cnf(c_22955,plain,
( sk_c11 = sP12_iProver_def
| sk_c11 = sP20_iProver_def ),
inference(light_normalisation,[status(thm)],[c_22954,c_13390]) ).
cnf(c_23352,plain,
( multiply(sP7_iProver_def,sP17_iProver_def) = sP20_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_3014,c_6416]) ).
cnf(c_23353,plain,
( sk_c11 = sP13_iProver_def
| sk_c11 = sP20_iProver_def ),
inference(light_normalisation,[status(thm)],[c_23352,c_13390]) ).
cnf(c_24117,plain,
( multiply(sP20_iProver_def,sP19_iProver_def) = sP8_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_3464,c_6417]) ).
cnf(c_24118,plain,
( sk_c10 = sP5_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_24117,c_13402]) ).
cnf(c_24634,plain,
( multiply(sP20_iProver_def,sP19_iProver_def) = sP11_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_3781,c_6417]) ).
cnf(c_24635,plain,
( sk_c10 = sP5_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_24634,c_13402]) ).
cnf(c_27653,plain,
multiply(sk_c7,sP9_iProver_def) = multiply(sP11_iProver_def,sk_c11),
inference(superposition,[status(thm)],[c_668,c_6395]) ).
cnf(c_28636,plain,
multiply(sk_c9,sP18_iProver_def) = multiply(sP6_iProver_def,sk_c3),
inference(superposition,[status(thm)],[c_677,c_6397]) ).
cnf(c_32333,plain,
( sk_c10 = sP11_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_3916,c_711,c_741,c_1412,c_1458,c_5353]) ).
cnf(c_32622,plain,
( inverse(sk_c6) != sk_c11
| sk_c10 != sk_c11
| inverse(sk_c6) = sk_c10 ),
inference(instantiation,[status(thm)],[c_5713]) ).
cnf(c_32966,plain,
( sk_c10 = sP9_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_3917,c_709,c_739,c_1412,c_1457,c_5353]) ).
cnf(c_33027,plain,
( sP5_iProver_def = sP18_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_32966,c_32333]) ).
cnf(c_33239,plain,
( inverse(sk_c2) != sP7_iProver_def
| sk_c11 != sP7_iProver_def
| sk_c11 = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_5863]) ).
cnf(c_33242,plain,
( inverse(sk_c6) != sP13_iProver_def
| sk_c11 != sP13_iProver_def
| sk_c11 = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_5863]) ).
cnf(c_33244,plain,
( inverse(sk_c1) != sP20_iProver_def
| sk_c11 != sP20_iProver_def
| sk_c11 = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_5863]) ).
cnf(c_33253,plain,
( sk_c10 = sP8_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_3918,c_708,c_738,c_1412,c_1456,c_5353]) ).
cnf(c_33315,plain,
( sP5_iProver_def = sP18_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_33253,c_32966]) ).
cnf(c_33464,plain,
( sk_c10 = sP6_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_3919,c_707,c_737,c_1412,c_1455,c_5353]) ).
cnf(c_33527,plain,
( sP5_iProver_def = sP18_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_33464,c_33253]) ).
cnf(c_33529,plain,
( sP5_iProver_def = sP18_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_33464,c_32333]) ).
cnf(c_35121,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_6402,c_110]) ).
cnf(c_35182,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_110,c_35121]) ).
cnf(c_35183,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_111,c_35121]) ).
cnf(c_35568,plain,
multiply(inverse(sP5_iProver_def),X0) = multiply(sk_c11,X0),
inference(superposition,[status(thm)],[c_6422,c_35121]) ).
cnf(c_35569,plain,
multiply(inverse(sP15_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_6421,c_35121]) ).
cnf(c_35570,plain,
multiply(inverse(sP13_iProver_def),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_6420,c_35121]) ).
cnf(c_35571,plain,
multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_6419,c_35121]) ).
cnf(c_35572,plain,
multiply(inverse(sP8_iProver_def),X0) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_6418,c_35121]) ).
cnf(c_35573,plain,
multiply(inverse(sP20_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_6417,c_35121]) ).
cnf(c_35574,plain,
multiply(inverse(sP7_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_6416,c_35121]) ).
cnf(c_35634,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_35121,c_35121]) ).
cnf(c_36963,plain,
( multiply(identity,sk_c10) != multiply(identity,sP11_iProver_def)
| X0 != multiply(identity,sP11_iProver_def)
| multiply(identity,sk_c10) = X0 ),
inference(instantiation,[status(thm)],[c_2470]) ).
cnf(c_36965,plain,
( multiply(identity,sk_c10) != multiply(identity,sP11_iProver_def)
| sk_c11 != multiply(identity,sP11_iProver_def)
| multiply(identity,sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_36963]) ).
cnf(c_37985,plain,
( X0 != inverse(sk_c1)
| sP11_iProver_def != inverse(sk_c1)
| X0 = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_1821]) ).
cnf(c_37986,plain,
( sk_c11 != inverse(sk_c1)
| sP11_iProver_def != inverse(sk_c1)
| sk_c11 = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_37985]) ).
cnf(c_38672,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_35183,c_35634]) ).
cnf(c_38712,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_38672,c_35182]) ).
cnf(c_38731,plain,
( multiply(identity,inverse(identity)) != sk_c11
| multiply(identity,sk_c10) != sk_c11
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_38712,c_683]) ).
cnf(c_38734,plain,
( multiply(identity,sk_c10) != sk_c11
| multiply(identity,identity) != sk_c11
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_38731,c_38712]) ).
cnf(c_39033,plain,
( sk_c10 != sP8_iProver_def
| ~ sP3_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_737,c_4928]) ).
cnf(c_39041,plain,
( sk_c10 != sP8_iProver_def
| ~ sP3_iProver_def
| sk_c11 = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_717,c_4928]) ).
cnf(c_39050,plain,
( sk_c10 != sP8_iProver_def
| sP6_iProver_def != sP11_iProver_def
| ~ sP3_iProver_def
| sk_c11 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_691,c_4928]) ).
cnf(c_39053,plain,
( sk_c10 != sP8_iProver_def
| ~ sP3_iProver_def
| sk_c11 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_687,c_4928]) ).
cnf(c_39361,plain,
( ~ sP3_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_39033,c_24118,c_39033]) ).
cnf(c_39373,plain,
( ~ sP3_iProver_def
| sk_c11 = sP19_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_39041,c_20391,c_39041]) ).
cnf(c_39379,plain,
( ~ sP3_iProver_def
| sk_c11 = sP7_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_39053,c_1132,c_15012,c_39050]) ).
cnf(c_39399,plain,
( sk_c11 != sP20_iProver_def
| ~ sP0_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_5131,c_5135,c_5131,c_21007,c_21463]) ).
cnf(c_39401,plain,
~ sP0_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_39399,c_5135,c_22955,c_23353,c_39399]) ).
cnf(c_39407,plain,
( sk_c10 != sP5_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_680,c_39401]) ).
cnf(c_39515,plain,
( sP5_iProver_def != sP11_iProver_def
| sk_c10 = sP5_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_741,c_39407]) ).
cnf(c_39516,plain,
( sP5_iProver_def != sP9_iProver_def
| sk_c10 = sP5_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_739,c_39407]) ).
cnf(c_39518,plain,
( sP5_iProver_def != sP6_iProver_def
| sk_c10 = sP5_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_737,c_39407]) ).
cnf(c_39531,plain,
( sP5_iProver_def != sP18_iProver_def
| sk_c10 = sP11_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_711,c_39407]) ).
cnf(c_39745,plain,
multiply(sk_c11,sP5_iProver_def) = identity,
inference(superposition,[status(thm)],[c_35568,c_111]) ).
cnf(c_39750,plain,
multiply(sk_c11,multiply(sP5_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_35568,c_35121]) ).
cnf(c_39751,plain,
multiply(sk_c11,identity) = inverse(sP5_iProver_def),
inference(superposition,[status(thm)],[c_35568,c_38672]) ).
cnf(c_39819,plain,
( multiply(sP16_iProver_def,sP5_iProver_def) = identity
| sk_c11 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_696,c_39745]) ).
cnf(c_40071,plain,
inverse(sP5_iProver_def) = sk_c11,
inference(demodulation,[status(thm)],[c_39751,c_38672]) ).
cnf(c_40187,plain,
( inverse(sP5_iProver_def) != sk_c11
| sk_c11 != sk_c10
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_39750,c_681]) ).
cnf(c_40368,plain,
( sk_c11 != sk_c10
| ~ sP4_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_40187,c_40071]) ).
cnf(c_41067,plain,
( sk_c11 != sP11_iProver_def
| ~ sP4_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_32333,c_40368]) ).
cnf(c_41098,plain,
( sk_c11 != sP5_iProver_def
| ~ sP4_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_3764,c_40368]) ).
cnf(c_41100,plain,
( sk_c11 != sP5_iProver_def
| ~ sP4_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_3618,c_40368]) ).
cnf(c_41101,plain,
( sk_c11 != sP5_iProver_def
| ~ sP4_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_3449,c_40368]) ).
cnf(c_41114,plain,
( sk_c11 != sP11_iProver_def
| ~ sP4_iProver_def
| sk_c11 = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_721,c_40368]) ).
cnf(c_41126,plain,
( sk_c11 != sP11_iProver_def
| ~ sP4_iProver_def
| sk_c11 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_691,c_40368]) ).
cnf(c_41128,plain,
( sk_c11 != sP8_iProver_def
| ~ sP4_iProver_def
| sk_c11 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_688,c_40368]) ).
cnf(c_41250,plain,
( sP6_iProver_def != sP8_iProver_def
| sP9_iProver_def != sP8_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_11961]) ).
cnf(c_41609,plain,
( sP6_iProver_def != sP9_iProver_def
| sP11_iProver_def != sP9_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_11970]) ).
cnf(c_42281,plain,
( sP8_iProver_def != sP9_iProver_def
| sP11_iProver_def != sP9_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_12117]) ).
cnf(c_43168,plain,
( inverse(sk_c9) != sP11_iProver_def
| sP6_iProver_def != sP11_iProver_def
| inverse(sk_c9) = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_12126]) ).
cnf(c_43448,plain,
( sP8_iProver_def != sP11_iProver_def
| sP9_iProver_def != sP11_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_12132]) ).
cnf(c_45088,plain,
( sP9_iProver_def != sP6_iProver_def
| sP11_iProver_def != sP6_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_13307]) ).
cnf(c_45842,plain,
multiply(sk_c4,sP15_iProver_def) = identity,
inference(superposition,[status(thm)],[c_35569,c_111]) ).
cnf(c_45861,plain,
( sk_c10 = sP5_iProver_def
| identity = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_4391,c_45842]) ).
cnf(c_45862,plain,
( sk_c11 = sP20_iProver_def
| identity = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_3169,c_45842]) ).
cnf(c_45863,plain,
( sk_c11 = sP19_iProver_def
| identity = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_2301,c_45842]) ).
cnf(c_45864,plain,
( sk_c10 = sP18_iProver_def
| identity = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_1685,c_45842]) ).
cnf(c_45865,plain,
( sk_c3 = sP17_iProver_def
| identity = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_1361,c_45842]) ).
cnf(c_45866,plain,
( sk_c11 = sP7_iProver_def
| identity = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_1282,c_45842]) ).
cnf(c_45982,plain,
( sP11_iProver_def != sP16_iProver_def
| ~ sP4_iProver_def
| sk_c11 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_696,c_41126]) ).
cnf(c_46632,plain,
( inverse(sP20_iProver_def) = sP5_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_45862,c_664]) ).
cnf(c_47018,plain,
( multiply(X0,sP19_iProver_def) != sk_c10
| inverse(X0) != sk_c10
| ~ sP3_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_45863,c_682]) ).
cnf(c_47024,plain,
( multiply(sP19_iProver_def,sk_c3) = sP18_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_45863,c_677]) ).
cnf(c_47029,plain,
( inverse(sP19_iProver_def) = sP5_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_45863,c_664]) ).
cnf(c_47145,plain,
( multiply(sk_c11,sP19_iProver_def) != sk_c10
| inverse(sk_c11) != sk_c10
| ~ sP3_iProver_def
| identity = sP16_iProver_def ),
inference(instantiation,[status(thm)],[c_47018]) ).
cnf(c_47190,plain,
( sk_c11 = sP7_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_687,c_688]) ).
cnf(c_47200,plain,
( sk_c11 = sP7_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_689,c_688]) ).
cnf(c_47201,plain,
( sk_c11 = sP7_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_689,c_687]) ).
cnf(c_47217,plain,
( sk_c11 = sP7_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_691,c_689]) ).
cnf(c_47218,plain,
( sk_c11 = sP7_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_691,c_688]) ).
cnf(c_47219,plain,
( sk_c11 = sP7_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_691,c_687]) ).
cnf(c_47462,plain,
( multiply(sk_c7,sP10_iProver_def) = sP11_iProver_def
| sk_c10 = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_710,c_670]) ).
cnf(c_47881,plain,
( multiply(sk_c11,sP17_iProver_def) = sP18_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_706,c_677]) ).
cnf(c_47883,plain,
( multiply(sk_c11,sP17_iProver_def) = sP18_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_703,c_677]) ).
cnf(c_47885,plain,
( multiply(sk_c11,sP17_iProver_def) = sP18_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_701,c_677]) ).
cnf(c_47887,plain,
( multiply(sk_c11,sP17_iProver_def) = sP18_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_698,c_677]) ).
cnf(c_49292,plain,
( sk_c10 = sP5_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_738,c_737]) ).
cnf(c_49386,plain,
( sk_c10 = sP5_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_739,c_738]) ).
cnf(c_49387,plain,
( sk_c10 = sP5_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_739,c_737]) ).
cnf(c_49493,plain,
( sk_c10 = sP5_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_741,c_739]) ).
cnf(c_49494,plain,
( sk_c10 = sP5_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_741,c_738]) ).
cnf(c_49495,plain,
( sk_c10 = sP5_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_741,c_737]) ).
cnf(c_49601,plain,
( sk_c11 = sP12_iProver_def
| sk_c10 = sP8_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_742,c_708]) ).
cnf(c_50302,negated_conjecture,
( sP5_iProver_def != sk_c10
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_680,c_1412,c_2267,c_39407]) ).
cnf(c_50316,plain,
( sk_c11 = sP13_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_743,c_50302]) ).
cnf(c_50488,plain,
( inverse(sk_c8) != sk_c10
| sk_c10 != sP9_iProver_def
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_668,c_682]) ).
cnf(c_50489,plain,
( inverse(sk_c9) != sk_c10
| sk_c10 != sP6_iProver_def
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_665,c_682]) ).
cnf(c_50522,plain,
( sk_c10 != sP6_iProver_def
| sk_c10 != sP8_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_50489,c_667]) ).
cnf(c_50650,plain,
( multiply(sk_c11,sP6_iProver_def) != sk_c10
| inverse(sk_c9) != sk_c11
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_665,c_681]) ).
cnf(c_50651,plain,
( multiply(sk_c11,sP17_iProver_def) != sk_c10
| inverse(sk_c2) != sk_c11
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_676,c_681]) ).
cnf(c_50679,plain,
( multiply(sk_c11,sP17_iProver_def) != sk_c10
| sk_c11 != sP7_iProver_def
| ~ sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_50651,c_666]) ).
cnf(c_50683,plain,
( multiply(sk_c11,sP6_iProver_def) != sk_c10
| sk_c11 != sP8_iProver_def
| ~ sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_50650,c_667]) ).
cnf(c_51056,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_111,c_112]) ).
cnf(c_51626,plain,
( multiply(inverse(identity),sk_c11) != sk_c10
| inverse(identity) != sk_c10
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_110,c_685]) ).
cnf(c_51631,plain,
( multiply(inverse(sk_c7),sk_c11) != sk_c10
| multiply(sk_c7,sP10_iProver_def) != sk_c10
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_669,c_685]) ).
cnf(c_51654,plain,
( multiply(sk_c7,sP10_iProver_def) != sk_c10
| multiply(sP10_iProver_def,sk_c11) != sk_c10
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_51631,c_669]) ).
cnf(c_51723,plain,
( multiply(X0,sP7_iProver_def) != sk_c10
| inverse(X0) != sk_c10
| ~ sP3_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_47190,c_682]) ).
cnf(c_51828,plain,
( multiply(X0,sP7_iProver_def) != sk_c10
| inverse(X0) != sk_c10
| ~ sP3_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_47200,c_682]) ).
cnf(c_51936,plain,
( multiply(X0,sP7_iProver_def) != sk_c10
| inverse(X0) != sk_c10
| ~ sP3_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_47201,c_682]) ).
cnf(c_52038,plain,
( multiply(X0,sP7_iProver_def) != sk_c10
| inverse(X0) != sk_c10
| ~ sP3_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_47217,c_682]) ).
cnf(c_52145,plain,
( multiply(X0,sP7_iProver_def) != sk_c10
| inverse(X0) != sk_c10
| ~ sP3_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_47218,c_682]) ).
cnf(c_52304,plain,
( identity = sP16_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_45864,c_45861]) ).
cnf(c_52305,plain,
( sk_c11 != sP18_iProver_def
| ~ sP4_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_45864,c_40368]) ).
cnf(c_52365,plain,
( multiply(sk_c1,sP18_iProver_def) = sP19_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_45864,c_678]) ).
cnf(c_52597,plain,
( multiply(sk_c11,sP17_iProver_def) = sP18_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_45865,c_677]) ).
cnf(c_52758,plain,
( multiply(X0,sP7_iProver_def) != sk_c10
| inverse(X0) != sk_c10
| ~ sP3_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_47219,c_682]) ).
cnf(c_52872,plain,
( identity = sP16_iProver_def
| sP7_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_45866,c_45863]) ).
cnf(c_53415,plain,
( multiply(sP16_iProver_def,X0) = X0
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_52304,c_110]) ).
cnf(c_53825,plain,
multiply(sk_c6,identity) = inverse(sP13_iProver_def),
inference(superposition,[status(thm)],[c_35570,c_38672]) ).
cnf(c_53864,plain,
inverse(sP13_iProver_def) = sk_c6,
inference(demodulation,[status(thm)],[c_53825,c_38672]) ).
cnf(c_53866,plain,
( sk_c6 = sP5_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(demodulation,[status(thm)],[c_12547,c_53864]) ).
cnf(c_54632,plain,
multiply(sk_c7,sP10_iProver_def) = identity,
inference(superposition,[status(thm)],[c_35571,c_111]) ).
cnf(c_54651,plain,
( sk_c10 = sP5_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_3724,c_54632]) ).
cnf(c_54652,plain,
( sk_c11 = sP20_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_2725,c_54632]) ).
cnf(c_54653,plain,
( sk_c11 = sP19_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_2025,c_54632]) ).
cnf(c_54654,plain,
( sk_c10 = sP18_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_1500,c_54632]) ).
cnf(c_54655,plain,
( sk_c11 = sP7_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_1250,c_54632]) ).
cnf(c_54656,plain,
( sk_c3 = sP17_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_1249,c_54632]) ).
cnf(c_55323,plain,
( inverse(sP20_iProver_def) = sP5_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_54652,c_664]) ).
cnf(c_55639,plain,
( multiply(X0,sP19_iProver_def) != sk_c10
| inverse(X0) != sk_c10
| ~ sP3_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_54653,c_682]) ).
cnf(c_55645,plain,
( multiply(sP19_iProver_def,sk_c3) = sP18_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_54653,c_677]) ).
cnf(c_55650,plain,
( inverse(sP19_iProver_def) = sP5_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_54653,c_664]) ).
cnf(c_55766,plain,
( multiply(sk_c11,sP19_iProver_def) != sk_c10
| inverse(sk_c11) != sk_c10
| ~ sP3_iProver_def
| identity = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_55639]) ).
cnf(c_55872,plain,
( identity = sP11_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_54654,c_54651]) ).
cnf(c_55874,plain,
( sk_c11 != sP18_iProver_def
| ~ sP4_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_54654,c_40368]) ).
cnf(c_55934,plain,
( multiply(sk_c1,sP18_iProver_def) = sP19_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_54654,c_678]) ).
cnf(c_56030,plain,
( identity = sP11_iProver_def
| sP7_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_54655,c_54653]) ).
cnf(c_56126,plain,
( multiply(sP7_iProver_def,sk_c3) = sP18_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_54655,c_677]) ).
cnf(c_56650,plain,
( sP6_iProver_def = sP8_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_49292,c_50302]) ).
cnf(c_56930,plain,
( sP5_iProver_def = sP18_iProver_def
| sP11_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_55872,c_52304]) ).
cnf(c_56934,plain,
( multiply(sP11_iProver_def,X0) = X0
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_55872,c_110]) ).
cnf(c_58295,plain,
( sP8_iProver_def = sP9_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_49386,c_50302]) ).
cnf(c_59610,plain,
( sP6_iProver_def = sP9_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_49387,c_50302]) ).
cnf(c_60600,plain,
( sP5_iProver_def != sP8_iProver_def
| sP11_iProver_def != sP8_iProver_def
| sP5_iProver_def = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_1670]) ).
cnf(c_60618,plain,
( sP5_iProver_def != sP9_iProver_def
| sP11_iProver_def != sP9_iProver_def
| sP5_iProver_def = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_1670]) ).
cnf(c_60620,plain,
( sP5_iProver_def != sP9_iProver_def
| sP8_iProver_def != sP9_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_1633]) ).
cnf(c_60645,plain,
( multiply(sP7_iProver_def,sP17_iProver_def) = sP18_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_45866,c_52597]) ).
cnf(c_60711,plain,
( sk_c11 = sP18_iProver_def
| identity = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_60645,c_13390]) ).
cnf(c_60869,plain,
( sk_c11 != sP11_iProver_def
| sP5_iProver_def != sP11_iProver_def
| sk_c11 = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_5482]) ).
cnf(c_60873,plain,
( sP5_iProver_def != sP11_iProver_def
| sP8_iProver_def != sP11_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_1633]) ).
cnf(c_60878,plain,
( sP5_iProver_def != sP11_iProver_def
| sP8_iProver_def != sP11_iProver_def
| sP8_iProver_def = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_12132]) ).
cnf(c_60881,plain,
( sP5_iProver_def != sP11_iProver_def
| sP11_iProver_def != sP11_iProver_def
| sP11_iProver_def = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_3828]) ).
cnf(c_60883,plain,
( sk_c10 != sP11_iProver_def
| sP5_iProver_def != sP11_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_1546]) ).
cnf(c_61294,plain,
( multiply(identity,sk_c10) != sP5_iProver_def
| X0 != sP5_iProver_def
| multiply(identity,sk_c10) = X0 ),
inference(instantiation,[status(thm)],[c_2470]) ).
cnf(c_61297,plain,
( multiply(identity,sk_c10) != sP5_iProver_def
| sk_c11 != sP5_iProver_def
| multiply(identity,sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_61294]) ).
cnf(c_63771,plain,
( sk_c11 = sP7_iProver_def
| identity = sP5_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_53415,c_39819]) ).
cnf(c_63927,plain,
( identity = sP16_iProver_def
| sP7_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_60711,c_45866]) ).
cnf(c_64033,plain,
( multiply(sP5_iProver_def,sP18_iProver_def) = identity
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_60711,c_1336]) ).
cnf(c_64062,plain,
( sk_c3 = identity
| identity = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_64033,c_13816]) ).
cnf(c_64702,plain,
( sk_c10 != X0
| identity != X0
| sk_c10 = identity ),
inference(instantiation,[status(thm)],[c_1410]) ).
cnf(c_64709,plain,
( sk_c10 != sk_c11
| identity != sk_c11
| sk_c10 = identity ),
inference(instantiation,[status(thm)],[c_64702]) ).
cnf(c_64742,plain,
( inverse(X0) != X1
| sk_c10 != X1
| sk_c10 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_1410]) ).
cnf(c_66077,plain,
( X0 != sP6_iProver_def
| identity != sP6_iProver_def
| identity = X0 ),
inference(instantiation,[status(thm)],[c_4521]) ).
cnf(c_69497,plain,
( sk_c10 != X0
| sP5_iProver_def != X0
| sk_c10 = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_1410]) ).
cnf(c_69498,plain,
( sk_c10 != sk_c11
| sP5_iProver_def != sk_c11
| sk_c10 = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_69497]) ).
cnf(c_69864,plain,
( sP9_iProver_def = sP11_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_49493,c_50302]) ).
cnf(c_70776,plain,
( sP7_iProver_def = sP20_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_7491,c_7490]) ).
cnf(c_71503,plain,
( X0 != sP8_iProver_def
| identity != sP8_iProver_def
| X0 = identity ),
inference(instantiation,[status(thm)],[c_2571]) ).
cnf(c_71504,plain,
( sk_c11 != sP8_iProver_def
| identity != sP8_iProver_def
| sk_c11 = identity ),
inference(instantiation,[status(thm)],[c_71503]) ).
cnf(c_71638,plain,
( sP8_iProver_def = sP11_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_49494,c_50302]) ).
cnf(c_71808,plain,
( sP7_iProver_def = sP19_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_7495,c_7494]) ).
cnf(c_72429,plain,
( X0 != sP11_iProver_def
| identity != sP11_iProver_def
| X0 = identity ),
inference(instantiation,[status(thm)],[c_2571]) ).
cnf(c_72430,plain,
( sk_c11 != sP11_iProver_def
| identity != sP11_iProver_def
| sk_c11 = identity ),
inference(instantiation,[status(thm)],[c_72429]) ).
cnf(c_72897,plain,
multiply(sk_c9,identity) = inverse(sP8_iProver_def),
inference(superposition,[status(thm)],[c_35572,c_38672]) ).
cnf(c_74323,plain,
( sP6_iProver_def = sP11_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_49495,c_50302]) ).
cnf(c_74527,plain,
( sP7_iProver_def = sP20_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_7613,c_7611]) ).
cnf(c_74757,plain,
inverse(sP8_iProver_def) = sk_c9,
inference(demodulation,[status(thm)],[c_72897,c_38672]) ).
cnf(c_74760,plain,
( multiply(inverse(sP8_iProver_def),sk_c11) != sk_c10
| multiply(sP8_iProver_def,sk_c9) != sk_c10
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_74757,c_685]) ).
cnf(c_74763,plain,
( sk_c10 != identity
| sk_c10 != sP6_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_74760,c_665,c_1340,c_74757]) ).
cnf(c_74879,plain,
( sP7_iProver_def = sP19_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_74527,c_10576]) ).
cnf(c_75421,plain,
multiply(sk_c1,identity) = inverse(sP20_iProver_def),
inference(superposition,[status(thm)],[c_35573,c_38672]) ).
cnf(c_75884,plain,
inverse(sP20_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_75421,c_38672]) ).
cnf(c_75886,plain,
( sk_c1 = sP5_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_55323,c_75884]) ).
cnf(c_75887,plain,
( sk_c1 = sP5_iProver_def
| identity = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_46632,c_75884]) ).
cnf(c_75890,plain,
( sk_c1 = sP5_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_9159,c_75884]) ).
cnf(c_75892,plain,
( sk_c1 = sP5_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(demodulation,[status(thm)],[c_8853,c_75884]) ).
cnf(c_75893,plain,
( sk_c1 = sP5_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(demodulation,[status(thm)],[c_8701,c_75884]) ).
cnf(c_75894,plain,
( sk_c11 = sP16_iProver_def
| sk_c1 = sP5_iProver_def ),
inference(demodulation,[status(thm)],[c_3201,c_75884]) ).
cnf(c_75895,plain,
( sk_c11 = sP14_iProver_def
| sk_c1 = sP5_iProver_def ),
inference(demodulation,[status(thm)],[c_3112,c_75884]) ).
cnf(c_75896,plain,
( sk_c11 = sP13_iProver_def
| sk_c1 = sP5_iProver_def ),
inference(demodulation,[status(thm)],[c_3018,c_75884]) ).
cnf(c_75897,plain,
( sk_c11 = sP12_iProver_def
| sk_c1 = sP5_iProver_def ),
inference(demodulation,[status(thm)],[c_2928,c_75884]) ).
cnf(c_75922,plain,
( inverse(sP7_iProver_def) = sk_c1
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_74527,c_75884]) ).
cnf(c_75923,plain,
( inverse(sP7_iProver_def) = sk_c1
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_70776,c_75884]) ).
cnf(c_78112,plain,
( X0 != inverse(sk_c6)
| sk_c10 != inverse(sk_c6)
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1453]) ).
cnf(c_78113,plain,
( sk_c11 != inverse(sk_c6)
| sk_c10 != inverse(sk_c6)
| sk_c11 = sk_c10 ),
inference(instantiation,[status(thm)],[c_78112]) ).
cnf(c_78957,plain,
( sk_c10 != inverse(sk_c6)
| sP5_iProver_def != inverse(sk_c6)
| sP5_iProver_def = sk_c10 ),
inference(instantiation,[status(thm)],[c_1407]) ).
cnf(c_78958,plain,
( sk_c11 != inverse(sk_c6)
| sP5_iProver_def != inverse(sk_c6)
| sk_c11 = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_5482]) ).
cnf(c_78963,plain,
( sP5_iProver_def != inverse(sk_c6)
| sP6_iProver_def != inverse(sk_c6)
| sP5_iProver_def = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_1631]) ).
cnf(c_80363,plain,
( multiply(sP7_iProver_def,sP17_iProver_def) = sP18_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_54656,c_56126]) ).
cnf(c_80383,plain,
( sk_c11 = sP18_iProver_def
| identity = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_80363,c_13390]) ).
cnf(c_80438,plain,
( multiply(sP5_iProver_def,sP18_iProver_def) = sP19_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_75886,c_55934]) ).
cnf(c_80486,plain,
( multiply(sP5_iProver_def,sk_c10) = sP19_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_75886,c_678]) ).
cnf(c_80493,plain,
( sk_c3 = sP19_iProver_def
| identity = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_80438,c_13816]) ).
cnf(c_80528,plain,
( multiply(sP5_iProver_def,sP18_iProver_def) = sP19_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_75887,c_52365]) ).
cnf(c_80574,plain,
( multiply(sP5_iProver_def,sk_c10) = sP19_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_75887,c_678]) ).
cnf(c_80581,plain,
( sk_c3 = sP19_iProver_def
| identity = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_80528,c_13816]) ).
cnf(c_80755,plain,
( inverse(sk_c2) != sP9_iProver_def
| sP8_iProver_def != sP9_iProver_def
| sP8_iProver_def = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_12117]) ).
cnf(c_81256,plain,
( multiply(sP5_iProver_def,sk_c10) = sP19_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_75890,c_678]) ).
cnf(c_81735,plain,
( multiply(sP5_iProver_def,sk_c10) = sP19_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_75892,c_678]) ).
cnf(c_81972,plain,
( multiply(sP5_iProver_def,sk_c10) = sP19_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_75893,c_678]) ).
cnf(c_82883,plain,
( multiply(sP10_iProver_def,X0) != sP9_iProver_def
| sk_c10 != sP9_iProver_def
| multiply(sP10_iProver_def,X0) = sk_c10 ),
inference(instantiation,[status(thm)],[c_1589]) ).
cnf(c_82884,plain,
( multiply(sP10_iProver_def,sk_c11) != sP9_iProver_def
| sk_c10 != sP9_iProver_def
| multiply(sP10_iProver_def,sk_c11) = sk_c10 ),
inference(instantiation,[status(thm)],[c_82883]) ).
cnf(c_82929,plain,
( multiply(sP5_iProver_def,sP18_iProver_def) = sP19_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_75894,c_1718]) ).
cnf(c_82948,plain,
( sk_c11 = sP16_iProver_def
| sk_c3 = sP19_iProver_def ),
inference(light_normalisation,[status(thm)],[c_82929,c_13816]) ).
cnf(c_83025,plain,
( multiply(sP5_iProver_def,sP18_iProver_def) = sP19_iProver_def
| sk_c11 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_75895,c_1643]) ).
cnf(c_83043,plain,
( sk_c11 = sP14_iProver_def
| sk_c3 = sP19_iProver_def ),
inference(light_normalisation,[status(thm)],[c_83025,c_13816]) ).
cnf(c_83117,plain,
( multiply(sP5_iProver_def,sP18_iProver_def) = sP19_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_75896,c_1606]) ).
cnf(c_83129,plain,
( multiply(sP5_iProver_def,sk_c10) = sP19_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_75896,c_678]) ).
cnf(c_83134,plain,
( sk_c11 = sP13_iProver_def
| sk_c3 = sP19_iProver_def ),
inference(light_normalisation,[status(thm)],[c_83117,c_13816]) ).
cnf(c_83205,plain,
( multiply(sP5_iProver_def,sP18_iProver_def) = sP19_iProver_def
| sk_c11 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_75897,c_1556]) ).
cnf(c_83221,plain,
( sk_c11 = sP12_iProver_def
| sk_c3 = sP19_iProver_def ),
inference(light_normalisation,[status(thm)],[c_83205,c_13816]) ).
cnf(c_84454,plain,
( identity = sP11_iProver_def
| sP7_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_80383,c_54655]) ).
cnf(c_84563,plain,
( multiply(sP5_iProver_def,sP18_iProver_def) = identity
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_80383,c_1336]) ).
cnf(c_84568,plain,
( multiply(sk_c9,sP18_iProver_def) = sP6_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_80383,c_665]) ).
cnf(c_84581,plain,
( multiply(sP6_iProver_def,sk_c3) = sP6_iProver_def
| identity = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_84568,c_28636]) ).
cnf(c_84592,plain,
( sk_c3 = identity
| identity = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_84563,c_13816]) ).
cnf(c_85078,plain,
( identity = sP11_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_80493,c_54656]) ).
cnf(c_85471,plain,
( identity = sP16_iProver_def
| identity = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_80581,c_64062]) ).
cnf(c_85478,plain,
( identity = sP16_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_80581,c_45865]) ).
cnf(c_85742,plain,
( sk_c11 = sP16_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_82948,c_706]) ).
cnf(c_85941,plain,
( sk_c11 = sP14_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_83043,c_704]) ).
cnf(c_86259,plain,
( sk_c11 = sP13_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_83134,c_703]) ).
cnf(c_86535,plain,
( sP11_iProver_def != sP16_iProver_def
| ~ sP4_iProver_def
| sk_c11 = sP19_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_85742,c_41114]) ).
cnf(c_86623,plain,
( multiply(sk_c8,sP16_iProver_def) = sP9_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_85742,c_668]) ).
cnf(c_86625,plain,
( inverse(sP16_iProver_def) = sP5_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_85742,c_664]) ).
cnf(c_87067,plain,
( sP3_iProver_def
| sP2_iProver_def
| sP1_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_56650,c_1910,c_1911,c_1917,c_1918,c_5135,c_6385,c_10884,c_12360,c_16547,c_17019,c_22955,c_23353,c_33527,c_39399,c_41101]) ).
cnf(c_87068,plain,
( sP6_iProver_def = sP8_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(renaming,[status(thm)],[c_87067]) ).
cnf(c_87077,plain,
( sP3_iProver_def
| sP2_iProver_def
| sP1_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_58295,c_1903,c_1904,c_1910,c_1911,c_5135,c_6387,c_11151,c_12360,c_13318,c_16219,c_16551,c_22955,c_23353,c_33315,c_39399,c_41100]) ).
cnf(c_87078,plain,
( sP8_iProver_def = sP9_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(renaming,[status(thm)],[c_87077]) ).
cnf(c_87087,plain,
( sP3_iProver_def
| sP2_iProver_def
| sP1_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_59610,c_1904,c_12114,c_41250,c_87068,c_87078]) ).
cnf(c_87088,plain,
( sP6_iProver_def = sP9_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(renaming,[status(thm)],[c_87087]) ).
cnf(c_87097,plain,
( sP3_iProver_def
| sP2_iProver_def
| sP1_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_69864,c_1827,c_1828,c_1903,c_1904,c_5135,c_6468,c_11607,c_11967,c_12122,c_12360,c_13393,c_15922,c_16235,c_22955,c_23353,c_33027,c_39399,c_41098,c_45088,c_87088]) ).
cnf(c_87098,plain,
( sP9_iProver_def = sP11_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(renaming,[status(thm)],[c_87097]) ).
cnf(c_87181,plain,
( sk_c10 != sP11_iProver_def
| identity != sP11_iProver_def
| sk_c10 = identity ),
inference(instantiation,[status(thm)],[c_1546]) ).
cnf(c_87183,plain,
( identity != sP11_iProver_def
| sP6_iProver_def != sP11_iProver_def
| identity = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_12126]) ).
cnf(c_87184,plain,
( identity != sP11_iProver_def
| sP6_iProver_def != sP11_iProver_def
| sP6_iProver_def = identity ),
inference(instantiation,[status(thm)],[c_12125]) ).
cnf(c_87272,plain,
( sP14_iProver_def = sP16_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_85941,c_85742]) ).
cnf(c_87833,plain,
( sP3_iProver_def
| sP2_iProver_def
| sP1_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_71638,c_1828,c_1903,c_1904,c_1910,c_1911,c_5135,c_6387,c_11151,c_12342,c_12360,c_13318,c_16219,c_16551,c_22955,c_23353,c_33315,c_39399,c_41100,c_42281,c_87098]) ).
cnf(c_87834,plain,
( sP8_iProver_def = sP11_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(renaming,[status(thm)],[c_87833]) ).
cnf(c_87843,plain,
( sP3_iProver_def
| sP2_iProver_def
| sP1_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_74323,c_1828,c_12342,c_41609,c_87088,c_87098]) ).
cnf(c_87844,plain,
( sP6_iProver_def = sP11_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(renaming,[status(thm)],[c_87843]) ).
cnf(c_88073,plain,
( sP13_iProver_def = sP16_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_86259,c_85742]) ).
cnf(c_88192,plain,
( inverse(sP13_iProver_def) = sP5_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_86259,c_664]) ).
cnf(c_88199,plain,
( sk_c6 = sP5_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(light_normalisation,[status(thm)],[c_88192,c_53864]) ).
cnf(c_89066,plain,
( multiply(sk_c11,sP19_iProver_def) = sk_c10
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_80486,c_39750]) ).
cnf(c_89180,plain,
( sk_c11 = sP12_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_83221,c_702]) ).
cnf(c_89273,plain,
( inverse(sk_c6) != X0
| sk_c10 != X0
| sk_c10 = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_64742]) ).
cnf(c_89274,plain,
( inverse(sk_c6) != sk_c11
| sk_c10 != sk_c11
| sk_c10 = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_89273]) ).
cnf(c_89350,plain,
( sP7_iProver_def = sP18_iProver_def
| sP11_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_84454,c_63927]) ).
cnf(c_89781,plain,
( multiply(X0,sP12_iProver_def) != sk_c10
| inverse(X0) != sk_c10
| ~ sP3_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_89180,c_682]) ).
cnf(c_90041,plain,
( multiply(sk_c11,sP12_iProver_def) != sk_c10
| inverse(sk_c11) != sk_c10
| ~ sP3_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(instantiation,[status(thm)],[c_89781]) ).
cnf(c_90268,plain,
( identity != sP11_iProver_def
| sP8_iProver_def != sP11_iProver_def
| identity = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_12133]) ).
cnf(c_90655,plain,
( multiply(sk_c11,sP19_iProver_def) = sk_c10
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_80574,c_39750]) ).
cnf(c_90866,plain,
( identity = sP11_iProver_def
| identity = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_84592,c_80493]) ).
cnf(c_91103,plain,
( multiply(sP11_iProver_def,X0) = X0
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_85078,c_110]) ).
cnf(c_91209,plain,
( inverse(sP19_iProver_def) = sP19_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_85471,c_38712]) ).
cnf(c_91211,plain,
( multiply(sP19_iProver_def,X0) = X0
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_85471,c_110]) ).
cnf(c_91313,plain,
( inverse(sP16_iProver_def) = sP16_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_85478,c_38712]) ).
cnf(c_91315,plain,
( multiply(sP16_iProver_def,X0) = X0
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_85478,c_110]) ).
cnf(c_91429,plain,
( multiply(sk_c11,sP19_iProver_def) = sk_c10
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_81256,c_39750]) ).
cnf(c_91601,plain,
( multiply(sk_c11,sP19_iProver_def) = sk_c10
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_81735,c_39750]) ).
cnf(c_91687,plain,
( multiply(sk_c11,sP19_iProver_def) = sk_c10
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_81972,c_39750]) ).
cnf(c_91714,plain,
( sP7_iProver_def = sP17_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_87272,c_71808]) ).
cnf(c_93307,plain,
( sP7_iProver_def = sP17_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_88073,c_74879]) ).
cnf(c_94003,plain,
( multiply(sP5_iProver_def,sk_c10) = sP12_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_88199,c_671]) ).
cnf(c_94103,plain,
( inverse(sk_c9) != sP6_iProver_def
| identity != sP6_iProver_def
| identity = inverse(sk_c9) ),
inference(instantiation,[status(thm)],[c_66077]) ).
cnf(c_94447,plain,
( multiply(sk_c11,sP19_iProver_def) = sk_c10
| sk_c11 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_83129,c_39750]) ).
cnf(c_94730,plain,
( sP5_iProver_def = sP7_iProver_def
| sP11_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_89350,c_56930]) ).
cnf(c_96553,plain,
( multiply(sP6_iProver_def,sP17_iProver_def) = sP6_iProver_def
| sk_c11 = sP16_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_706,c_84581]) ).
cnf(c_99295,plain,
( inverse(sP19_iProver_def) = sP19_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_90866,c_38712]) ).
cnf(c_99297,plain,
( multiply(sP19_iProver_def,X0) = X0
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_90866,c_110]) ).
cnf(c_103049,plain,
multiply(sk_c2,sP7_iProver_def) = identity,
inference(superposition,[status(thm)],[c_35574,c_111]) ).
cnf(c_103055,plain,
multiply(sk_c2,identity) = inverse(sP7_iProver_def),
inference(superposition,[status(thm)],[c_35574,c_38672]) ).
cnf(c_103101,plain,
( identity = sP17_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_7621,c_103049]) ).
cnf(c_103102,plain,
( identity = sP17_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_7500,c_103049]) ).
cnf(c_103159,plain,
inverse(sP7_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_103055,c_38672]) ).
cnf(c_103164,plain,
( sk_c2 = sP5_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_7625,c_103159]) ).
cnf(c_103165,plain,
( sk_c2 = sP5_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_7504,c_103159]) ).
cnf(c_103416,plain,
( inverse(sP17_iProver_def) = sP17_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_103101,c_38712]) ).
cnf(c_103500,plain,
( inverse(sP17_iProver_def) = sP17_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_103102,c_38712]) ).
cnf(c_107413,plain,
( sk_c3 = sP18_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_91211,c_47024]) ).
cnf(c_107958,plain,
( identity = sP16_iProver_def
| identity = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_107413,c_64062]) ).
cnf(c_108219,plain,
( inverse(sP18_iProver_def) = sP18_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_107958,c_38712]) ).
cnf(c_108808,plain,
( sk_c11 = sP7_iProver_def
| identity = sP5_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_91315,c_39819]) ).
cnf(c_108978,plain,
( multiply(sk_c11,sP12_iProver_def) = sk_c10
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_94003,c_39750]) ).
cnf(c_109037,plain,
( sk_c3 = sP18_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_99297,c_55645]) ).
cnf(c_110497,plain,
( identity = sP11_iProver_def
| identity = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_109037,c_84592]) ).
cnf(c_112820,plain,
( X0 != X1
| sP5_iProver_def != X1
| sP5_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_112826,plain,
( X0 != sP5_iProver_def
| sP5_iProver_def != sP5_iProver_def
| sP5_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_112820]) ).
cnf(c_112833,plain,
( X0 != X1
| sP5_iProver_def != X1
| X0 = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_112916,plain,
( X0 != inverse(X1)
| sP5_iProver_def != inverse(X1)
| sP5_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_112820]) ).
cnf(c_112988,plain,
multiply(identity,inverse(X0)) = inverse(X0),
inference(instantiation,[status(thm)],[c_110]) ).
cnf(c_112990,plain,
( inverse(X0) != X1
| X2 != X1
| X2 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_113119,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_113276,plain,
( inverse(sk_c6) != sP13_iProver_def
| X0 != sP13_iProver_def
| X0 = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_112990]) ).
cnf(c_113278,plain,
( inverse(sk_c1) != sP20_iProver_def
| X0 != sP20_iProver_def
| X0 = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_112990]) ).
cnf(c_113590,plain,
( multiply(identity,inverse(X0)) != X1
| X2 != X1
| X2 = multiply(identity,inverse(X0)) ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_113861,plain,
( X0 != X1
| sP7_iProver_def != X1
| X0 = sP7_iProver_def ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_113867,plain,
( X0 != X1
| sP8_iProver_def != X1
| X0 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_114739,plain,
( inverse(sk_c6) != sP13_iProver_def
| sP5_iProver_def != sP13_iProver_def
| sP5_iProver_def = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_113276]) ).
cnf(c_114954,plain,
( multiply(identity,inverse(X0)) != inverse(sk_c6)
| X1 != inverse(sk_c6)
| X1 = multiply(identity,inverse(X0)) ),
inference(instantiation,[status(thm)],[c_113590]) ).
cnf(c_116523,plain,
( X0 != sP19_iProver_def
| sP7_iProver_def != sP19_iProver_def
| X0 = sP7_iProver_def ),
inference(instantiation,[status(thm)],[c_113861]) ).
cnf(c_117911,plain,
( sP5_iProver_def != sP19_iProver_def
| sP7_iProver_def != sP19_iProver_def
| sP5_iProver_def = sP7_iProver_def ),
inference(instantiation,[status(thm)],[c_116523]) ).
cnf(c_117919,plain,
( identity != sP19_iProver_def
| sP7_iProver_def != sP19_iProver_def
| identity = sP7_iProver_def ),
inference(instantiation,[status(thm)],[c_116523]) ).
cnf(c_118065,plain,
( X0 != inverse(sk_c2)
| sP8_iProver_def != inverse(sk_c2)
| X0 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_113867]) ).
cnf(c_118066,plain,
( sk_c11 != inverse(sk_c2)
| sP8_iProver_def != inverse(sk_c2)
| sk_c11 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_118065]) ).
cnf(c_120689,plain,
( multiply(identity,inverse(sk_c6)) != inverse(sk_c6)
| X0 != inverse(sk_c6)
| X0 = multiply(identity,inverse(sk_c6)) ),
inference(instantiation,[status(thm)],[c_114954]) ).
cnf(c_120690,plain,
multiply(identity,inverse(sk_c6)) = inverse(sk_c6),
inference(instantiation,[status(thm)],[c_112988]) ).
cnf(c_120691,plain,
( multiply(identity,inverse(sk_c6)) != inverse(sk_c6)
| sk_c11 != inverse(sk_c6)
| sk_c11 = multiply(identity,inverse(sk_c6)) ),
inference(instantiation,[status(thm)],[c_120689]) ).
cnf(c_121179,plain,
( X0 != X1
| sP11_iProver_def != X1
| X0 = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_121226,plain,
( multiply(identity,identity) != X0
| X1 != X0
| multiply(identity,identity) = X1 ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_124099,plain,
( identity != inverse(X0)
| sP5_iProver_def != inverse(X0)
| sP5_iProver_def = identity ),
inference(instantiation,[status(thm)],[c_112916]) ).
cnf(c_124290,plain,
( inverse(sk_c9) != X0
| sP5_iProver_def != X0
| sP5_iProver_def = inverse(sk_c9) ),
inference(instantiation,[status(thm)],[c_112820]) ).
cnf(c_124594,plain,
( X0 != sP5_iProver_def
| sP8_iProver_def != sP5_iProver_def
| X0 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_113867]) ).
cnf(c_124596,plain,
( sk_c11 != sP5_iProver_def
| sP8_iProver_def != sP5_iProver_def
| sk_c11 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_124594]) ).
cnf(c_124657,plain,
( multiply(identity,identity) != X0
| sP5_iProver_def != X0
| multiply(identity,identity) = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_112833]) ).
cnf(c_124914,plain,
( X0 != sP5_iProver_def
| identity != sP5_iProver_def
| identity = X0 ),
inference(instantiation,[status(thm)],[c_113119]) ).
cnf(c_124917,plain,
( sk_c11 != sP5_iProver_def
| identity != sP5_iProver_def
| identity = sk_c11 ),
inference(instantiation,[status(thm)],[c_124914]) ).
cnf(c_127384,plain,
( inverse(sk_c6) != sP13_iProver_def
| sP11_iProver_def != sP13_iProver_def
| sP11_iProver_def = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_113276]) ).
cnf(c_127698,plain,
( identity != sP5_iProver_def
| sP5_iProver_def != sP5_iProver_def
| sP5_iProver_def = identity ),
inference(instantiation,[status(thm)],[c_112826]) ).
cnf(c_127709,plain,
( X0 != X1
| sP9_iProver_def != X1
| sP9_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_127736,plain,
( X0 != sP5_iProver_def
| sP11_iProver_def != sP5_iProver_def
| X0 = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_121179]) ).
cnf(c_127740,plain,
( sk_c11 != sP5_iProver_def
| sP11_iProver_def != sP5_iProver_def
| sk_c11 = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_127736]) ).
cnf(c_127753,plain,
( X0 != multiply(identity,inverse(sk_c6))
| sP11_iProver_def != multiply(identity,inverse(sk_c6))
| X0 = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_121179]) ).
cnf(c_127754,plain,
( multiply(identity,inverse(sk_c6)) != inverse(sk_c6)
| sP11_iProver_def != inverse(sk_c6)
| sP11_iProver_def = multiply(identity,inverse(sk_c6)) ),
inference(instantiation,[status(thm)],[c_120689]) ).
cnf(c_127755,plain,
( sk_c11 != multiply(identity,inverse(sk_c6))
| sP11_iProver_def != multiply(identity,inverse(sk_c6))
| sk_c11 = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_127753]) ).
cnf(c_139149,plain,
( sk_c1 = sk_c2
| sP13_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_75922,c_103159]) ).
cnf(c_140634,plain,
( sk_c1 = sk_c2
| sP14_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_75923,c_103159]) ).
cnf(c_146419,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_51056,c_110]) ).
cnf(c_146480,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_110,c_146419]) ).
cnf(c_146481,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_111,c_146419]) ).
cnf(c_146859,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_146419,c_146419]) ).
cnf(c_156446,plain,
( identity = sP16_iProver_def
| sP5_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_91209,c_47029]) ).
cnf(c_156609,plain,
( multiply(sP16_iProver_def,X0) = X0
| sP5_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_156446,c_110]) ).
cnf(c_156744,plain,
( sP5_iProver_def = sP16_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_91313,c_86625]) ).
cnf(c_158872,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_146481,c_146859]) ).
cnf(c_158896,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_158872,c_146480]) ).
cnf(c_161943,plain,
( sk_c10 = sP8_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_49601,c_33253]) ).
cnf(c_164263,plain,
( identity = sP11_iProver_def
| sP5_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_99295,c_55650]) ).
cnf(c_165077,plain,
( sk_c10 != sP8_iProver_def
| ~ sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_50522,c_664,c_4928,c_7986,c_10530,c_11960,c_39033,c_91687]) ).
cnf(c_165084,plain,
( ~ sP3_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_161943,c_165077]) ).
cnf(c_165097,plain,
( sP5_iProver_def != sP8_iProver_def
| ~ sP3_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_743,c_165077]) ).
cnf(c_167230,plain,
( ~ sP3_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_165097,c_664,c_4989,c_10530,c_24118,c_39033,c_94447]) ).
cnf(c_167236,plain,
( sk_c11 = sP13_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP4_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_50316,c_167230]) ).
cnf(c_169072,plain,
( inverse(sk_c9) != sP11_iProver_def
| sP5_iProver_def != sP11_iProver_def
| sP5_iProver_def = inverse(sk_c9) ),
inference(instantiation,[status(thm)],[c_124290]) ).
cnf(c_171777,plain,
( sk_c11 = sP7_iProver_def
| identity = sP5_iProver_def
| sP5_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_156609,c_39819]) ).
cnf(c_175334,plain,
( inverse(sP7_iProver_def) = sP7_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_93307,c_103416]) ).
cnf(c_175342,plain,
( sk_c2 = sP7_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_175334,c_103159]) ).
cnf(c_175594,plain,
( sk_c1 = sP7_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_175342,c_139149]) ).
cnf(c_175606,plain,
( sP5_iProver_def = sP7_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_175342,c_103164]) ).
cnf(c_175887,plain,
( X0 != sP7_iProver_def
| sP5_iProver_def != sP7_iProver_def
| sP5_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_112820]) ).
cnf(c_175888,plain,
( sk_c11 != sP7_iProver_def
| sP5_iProver_def != sP7_iProver_def
| sP5_iProver_def = sk_c11 ),
inference(instantiation,[status(thm)],[c_175887]) ).
cnf(c_175891,plain,
( X0 != sP19_iProver_def
| sP5_iProver_def != sP19_iProver_def
| sP5_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_112820]) ).
cnf(c_175892,plain,
( sk_c11 != sP19_iProver_def
| sP5_iProver_def != sP19_iProver_def
| sP5_iProver_def = sk_c11 ),
inference(instantiation,[status(thm)],[c_175891]) ).
cnf(c_176016,plain,
( X0 != sP7_iProver_def
| sP5_iProver_def != sP7_iProver_def
| X0 = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_112833]) ).
cnf(c_176017,plain,
( sk_c11 != sP7_iProver_def
| sP5_iProver_def != sP7_iProver_def
| sk_c11 = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_176016]) ).
cnf(c_177954,plain,
( inverse(sP7_iProver_def) = sP20_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_175594,c_679]) ).
cnf(c_177955,plain,
( sk_c2 = sP20_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_177954,c_103159]) ).
cnf(c_178351,plain,
( sP5_iProver_def = sP7_iProver_def
| sP11_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_175606,c_94730]) ).
cnf(c_179875,plain,
( sP5_iProver_def = sP20_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_177955,c_103164]) ).
cnf(c_180436,plain,
( sk_c10 != sP9_iProver_def
| ~ sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_50488,c_664,c_4928,c_7986,c_8102,c_10530,c_11960,c_12116,c_24118,c_39033,c_91601,c_91687]) ).
cnf(c_180474,plain,
( sP9_iProver_def != sP18_iProver_def
| ~ sP3_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_711,c_180436]) ).
cnf(c_180476,plain,
( sP9_iProver_def != sP18_iProver_def
| ~ sP3_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_708,c_180436]) ).
cnf(c_181639,plain,
( multiply(identity,identity) != identity
| X0 != identity
| multiply(identity,identity) = X0 ),
inference(instantiation,[status(thm)],[c_121226]) ).
cnf(c_181640,plain,
( multiply(identity,identity) != identity
| sk_c11 != identity
| multiply(identity,identity) = sk_c11 ),
inference(instantiation,[status(thm)],[c_181639]) ).
cnf(c_182130,plain,
( X0 != sP11_iProver_def
| sP9_iProver_def != sP11_iProver_def
| sP9_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_127709]) ).
cnf(c_182156,plain,
( ~ sP3_iProver_def
| sP9_iProver_def != sP18_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_180474,c_664,c_4928,c_7986,c_10530,c_11960,c_39033,c_91687,c_180476]) ).
cnf(c_182157,plain,
( sP9_iProver_def != sP18_iProver_def
| ~ sP3_iProver_def ),
inference(renaming,[status(thm)],[c_182156]) ).
cnf(c_182187,plain,
( sk_c11 != sP7_iProver_def
| sk_c10 != sP18_iProver_def
| ~ sP4_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_47887,c_50679]) ).
cnf(c_182189,plain,
( sk_c11 != sP7_iProver_def
| sk_c10 != sP18_iProver_def
| ~ sP4_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_47885,c_50679]) ).
cnf(c_182191,plain,
( sk_c11 != sP7_iProver_def
| sk_c10 != sP18_iProver_def
| ~ sP4_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_47883,c_50679]) ).
cnf(c_182193,plain,
( sk_c11 != sP7_iProver_def
| sk_c10 != sP18_iProver_def
| ~ sP4_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_47881,c_50679]) ).
cnf(c_182940,plain,
( sk_c11 != sP8_iProver_def
| ~ sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_50683,c_1592,c_18239,c_40368,c_41128,c_182187]) ).
cnf(c_182974,plain,
( sP8_iProver_def != sP20_iProver_def
| ~ sP4_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_736,c_182940]) ).
cnf(c_182976,plain,
( sP8_iProver_def != sP20_iProver_def
| ~ sP4_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_733,c_182940]) ).
cnf(c_183267,plain,
( multiply(identity,identity) != identity
| sP5_iProver_def != identity
| multiply(identity,identity) = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_124657]) ).
cnf(c_183293,plain,
( X0 != identity
| sP5_iProver_def != identity
| sP5_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_112820]) ).
cnf(c_183610,plain,
( sP5_iProver_def = sP19_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_179875,c_10576]) ).
cnf(c_184682,plain,
( sP5_iProver_def = sP17_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_183610,c_88073]) ).
cnf(c_189169,plain,
( multiply(identity,identity) != sP5_iProver_def
| X0 != sP5_iProver_def
| multiply(identity,identity) = X0 ),
inference(instantiation,[status(thm)],[c_121226]) ).
cnf(c_189185,plain,
( multiply(identity,identity) != sP5_iProver_def
| sk_c11 != sP5_iProver_def
| multiply(identity,identity) = sk_c11 ),
inference(instantiation,[status(thm)],[c_189169]) ).
cnf(c_189849,plain,
( inverse(sP7_iProver_def) = sP7_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_91714,c_103500]) ).
cnf(c_189855,plain,
( sk_c2 = sP7_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_189849,c_103159]) ).
cnf(c_189944,plain,
( sk_c1 = sP7_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_189855,c_140634]) ).
cnf(c_190380,plain,
( inverse(sP7_iProver_def) = sP20_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_189944,c_679]) ).
cnf(c_190381,plain,
( sk_c2 = sP20_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_190380,c_103159]) ).
cnf(c_190531,plain,
( ~ sP4_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_182974,c_14351,c_20290,c_182193]) ).
cnf(c_190556,plain,
( ~ sP4_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_182976,c_13810,c_19740,c_182191]) ).
cnf(c_190562,plain,
( sk_c11 = sP13_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_167236,c_190556]) ).
cnf(c_192237,plain,
( sP5_iProver_def = sP20_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_190381,c_103165]) ).
cnf(c_192808,plain,
( sk_c10 != sP9_iProver_def
| ~ sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_4900,c_180436]) ).
cnf(c_192884,plain,
( sP9_iProver_def != sP18_iProver_def
| ~ sP3_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_711,c_192808]) ).
cnf(c_195135,plain,
( identity != sP7_iProver_def
| sP5_iProver_def != sP7_iProver_def
| sP5_iProver_def = identity ),
inference(instantiation,[status(thm)],[c_175887]) ).
cnf(c_195543,plain,
( sP5_iProver_def = sP19_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_192237,c_10575]) ).
cnf(c_196531,plain,
( ~ sP3_iProver_def
| sP9_iProver_def != sP18_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_192884,c_182157]) ).
cnf(c_196532,plain,
( sP9_iProver_def != sP18_iProver_def
| ~ sP3_iProver_def ),
inference(renaming,[status(thm)],[c_196531]) ).
cnf(c_198171,plain,
( sk_c10 != identity
| sP5_iProver_def != identity
| sP5_iProver_def = sk_c10 ),
inference(instantiation,[status(thm)],[c_183293]) ).
cnf(c_198173,plain,
( sP5_iProver_def != identity
| sP6_iProver_def != identity
| sP5_iProver_def = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_183293]) ).
cnf(c_200249,plain,
( identity != sP7_iProver_def
| sP5_iProver_def != sP7_iProver_def
| identity = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_176016]) ).
cnf(c_201647,plain,
( sP5_iProver_def = sP17_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_195543,c_87272]) ).
cnf(c_203608,plain,
( sP5_iProver_def != sP11_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_39515,c_39407,c_39515]) ).
cnf(c_203620,plain,
( sP5_iProver_def != sP9_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_39516,c_1828,c_1903,c_1904,c_1910,c_1911,c_5135,c_6387,c_11151,c_12129,c_12360,c_13318,c_16219,c_16551,c_22955,c_23353,c_33315,c_39399,c_41100,c_60600,c_60620,c_87834,c_203608]) ).
cnf(c_210286,plain,
( sP3_iProver_def
| sP2_iProver_def
| sP1_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_39531,c_14981,c_19024,c_24635,c_39407,c_182189]) ).
cnf(c_210287,plain,
( sk_c10 = sP11_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(renaming,[status(thm)],[c_210286]) ).
cnf(c_210391,plain,
( multiply(identity,sk_c11) != sk_c10
| sk_c10 != identity
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_51626,c_158896]) ).
cnf(c_210392,plain,
( sk_c11 != sk_c10
| sk_c10 != identity
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_210391,c_110]) ).
cnf(c_210437,plain,
( sk_c11 != sP18_iProver_def
| sk_c10 != identity
| ~ sP1_iProver_def
| sk_c10 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_707,c_210392]) ).
cnf(c_214023,plain,
( multiply(sP10_iProver_def,sk_c11) != sk_c10
| sk_c10 != sP11_iProver_def
| ~ sP1_iProver_def
| sk_c10 = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_47462,c_51654]) ).
cnf(c_217086,plain,
( ~ sP3_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_51723,c_664,c_7986,c_10530,c_39361,c_91687]) ).
cnf(c_221850,plain,
( ~ sP3_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_51828,c_664,c_8102,c_10530,c_24118,c_39033,c_91601]) ).
cnf(c_222212,plain,
( ~ sP3_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_51936,c_1904,c_12114,c_41250,c_217086,c_221850]) ).
cnf(c_222371,plain,
( ~ sP3_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_52038,c_664,c_8331,c_10530,c_24118,c_39033,c_91429]) ).
cnf(c_222377,plain,
( sP9_iProver_def = sP11_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_87098,c_222371]) ).
cnf(c_222383,plain,
( ~ sP3_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_52145,c_1828,c_12342,c_42281,c_221850,c_222371]) ).
cnf(c_222389,plain,
( sP8_iProver_def = sP11_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_87834,c_222383]) ).
cnf(c_223063,plain,
( identity != inverse(sk_c9)
| sP5_iProver_def != inverse(sk_c9)
| sP5_iProver_def = identity ),
inference(instantiation,[status(thm)],[c_124099]) ).
cnf(c_224053,plain,
( ~ sP3_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_52758,c_1828,c_12342,c_41609,c_222212,c_222371]) ).
cnf(c_224059,plain,
( sP6_iProver_def = sP11_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_87844,c_224053]) ).
cnf(c_234692,plain,
( inverse(sk_c1) != sP20_iProver_def
| sP11_iProver_def != sP20_iProver_def
| sP11_iProver_def = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_113278]) ).
cnf(c_241063,plain,
identity = sP16_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_108219,c_664,c_1451,c_2564,c_4881,c_4885,c_10530,c_11116,c_12360,c_38734,c_39407,c_45864,c_45861,c_47145,c_52304,c_52305,c_52872,c_60711,c_61297,c_64709,c_74763,c_85471,c_90655,c_117911,c_117919,c_124917,c_156446,c_183267,c_189185,c_195135,c_200249,c_210437]) ).
cnf(c_241108,plain,
( sP11_iProver_def = sP16_iProver_def
| sP16_iProver_def = sP18_iProver_def ),
inference(demodulation,[status(thm)],[c_110497,c_241063]) ).
cnf(c_241124,plain,
( sP14_iProver_def = sP16_iProver_def
| sP16_iProver_def = sP17_iProver_def ),
inference(demodulation,[status(thm)],[c_103102,c_241063]) ).
cnf(c_241125,plain,
( sP13_iProver_def = sP16_iProver_def
| sP16_iProver_def = sP17_iProver_def ),
inference(demodulation,[status(thm)],[c_103101,c_241063]) ).
cnf(c_241127,plain,
multiply(sk_c2,sP7_iProver_def) = sP16_iProver_def,
inference(demodulation,[status(thm)],[c_103049,c_241063]) ).
cnf(c_241190,plain,
( sk_c11 = sP7_iProver_def
| sP11_iProver_def = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_54655,c_241063]) ).
cnf(c_241192,plain,
( sk_c11 = sP19_iProver_def
| sP11_iProver_def = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_54653,c_241063]) ).
cnf(c_241230,plain,
multiply(sk_c11,sP5_iProver_def) = sP16_iProver_def,
inference(demodulation,[status(thm)],[c_39745,c_241063]) ).
cnf(c_241231,plain,
inverse(sP16_iProver_def) = sP16_iProver_def,
inference(demodulation,[status(thm)],[c_38712,c_241063]) ).
cnf(c_241232,plain,
multiply(X0,sP16_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_38672,c_241063]) ).
cnf(c_241580,plain,
( sk_c11 = sP7_iProver_def
| sP5_iProver_def = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_1193,c_241231]) ).
cnf(c_241583,plain,
( sk_c8 = sP9_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(demodulation,[status(thm)],[c_86623,c_241232]) ).
cnf(c_241584,plain,
( sk_c8 = sP9_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(demodulation,[status(thm)],[c_13198,c_241232]) ).
cnf(c_241593,plain,
( sk_c2 = sP17_iProver_def
| sP19_iProver_def = sP20_iProver_def ),
inference(demodulation,[status(thm)],[c_10614,c_241232]) ).
cnf(c_241742,plain,
( inverse(sP13_iProver_def) = sP13_iProver_def
| sP5_iProver_def = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_175606,c_241231]) ).
cnf(c_241753,plain,
( sk_c6 = sP13_iProver_def
| sP5_iProver_def = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_241742,c_53864]) ).
cnf(c_243468,plain,
( sP5_iProver_def = sP16_iProver_def
| sP11_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_241108,c_56930]) ).
cnf(c_244685,plain,
( multiply(sk_c11,sP17_iProver_def) != sk_c10
| ~ sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_5399,c_5399,c_45982,c_241190]) ).
cnf(c_244697,plain,
( sk_c10 != sP18_iProver_def
| ~ sP4_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1302,c_244685]) ).
cnf(c_244759,plain,
( multiply(sP20_iProver_def,sP17_iProver_def) != sk_c10
| ~ sP4_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_736,c_244685]) ).
cnf(c_244767,plain,
( multiply(sP16_iProver_def,sP17_iProver_def) != sk_c10
| ~ sP4_iProver_def
| sk_c11 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_696,c_244685]) ).
cnf(c_246030,plain,
( ~ sP4_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_244759,c_190531]) ).
cnf(c_246208,plain,
( ~ sP4_iProver_def
| sk_c11 = sP7_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_244767,c_45982,c_241190]) ).
cnf(c_246399,plain,
( sP5_iProver_def = sP16_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_241124,c_201647]) ).
cnf(c_246556,plain,
( sP5_iProver_def = sP16_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_241125,c_184682]) ).
cnf(c_247052,plain,
( sk_c10 != sP16_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5962,c_241063,c_241230]) ).
cnf(c_247070,plain,
( sP11_iProver_def != sP16_iProver_def
| ~ sP1_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_32333,c_247052]) ).
cnf(c_247109,plain,
( sP11_iProver_def != sP16_iProver_def
| ~ sP1_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_741,c_247052]) ).
cnf(c_247117,plain,
( sP11_iProver_def != sP16_iProver_def
| ~ sP1_iProver_def
| sk_c11 = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_721,c_247052]) ).
cnf(c_247121,plain,
( sP16_iProver_def != sP18_iProver_def
| ~ sP1_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_716,c_247052]) ).
cnf(c_247125,plain,
( sP16_iProver_def != sP18_iProver_def
| ~ sP1_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_711,c_247052]) ).
cnf(c_247128,plain,
( sP16_iProver_def != sP18_iProver_def
| ~ sP1_iProver_def
| sk_c10 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_707,c_247052]) ).
cnf(c_249269,plain,
( ~ sP1_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_247109,c_4885,c_12360,c_54654,c_55872,c_56030,c_64709,c_74763,c_80383,c_87181,c_90866,c_117911,c_117919,c_124917,c_164263,c_200249,c_241108,c_247128,c_247125,c_247109]) ).
cnf(c_249529,plain,
( ~ sP1_iProver_def
| sk_c11 = sP19_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_247117,c_241192,c_247117]) ).
cnf(c_250695,plain,
( ~ sP1_iProver_def
| sP16_iProver_def != sP18_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_247121,c_4885,c_12360,c_54654,c_55872,c_56030,c_64709,c_74763,c_80383,c_87181,c_90866,c_117911,c_117919,c_124917,c_164263,c_200249,c_247128,c_247125]) ).
cnf(c_250696,plain,
( sP16_iProver_def != sP18_iProver_def
| ~ sP1_iProver_def ),
inference(renaming,[status(thm)],[c_250695]) ).
cnf(c_253218,plain,
( sk_c11 = sP16_iProver_def
| sP5_iProver_def = sP16_iProver_def
| sP7_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_241580,c_736]) ).
cnf(c_253227,plain,
( multiply(sk_c2,sP7_iProver_def) = sP17_iProver_def
| sP5_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_241580,c_676]) ).
cnf(c_253242,plain,
( sP5_iProver_def = sP16_iProver_def
| sP16_iProver_def = sP17_iProver_def ),
inference(light_normalisation,[status(thm)],[c_253227,c_241127]) ).
cnf(c_253865,plain,
( sk_c11 = sP19_iProver_def
| sP9_iProver_def = sP10_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_241583,c_720]) ).
cnf(c_253866,plain,
( sk_c10 = sP18_iProver_def
| sP9_iProver_def = sP10_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_241583,c_710]) ).
cnf(c_253867,plain,
( multiply(sk_c7,sP9_iProver_def) = sP11_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_241583,c_670]) ).
cnf(c_253873,plain,
( multiply(sP11_iProver_def,sk_c11) = sP11_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(light_normalisation,[status(thm)],[c_253867,c_27653]) ).
cnf(c_254384,plain,
( sk_c10 = sP5_iProver_def
| sP5_iProver_def = sP18_iProver_def
| sP9_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_241584,c_740]) ).
cnf(c_254388,plain,
( multiply(sk_c7,sP9_iProver_def) = sP11_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_241584,c_670]) ).
cnf(c_254394,plain,
( multiply(sP11_iProver_def,sk_c11) = sP11_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(light_normalisation,[status(thm)],[c_254388,c_27653]) ).
cnf(c_255463,plain,
( sk_c11 = sP11_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_253873,c_91103]) ).
cnf(c_255786,plain,
( sk_c11 = sP11_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_254394,c_56934]) ).
cnf(c_256843,plain,
( inverse(sP16_iProver_def) = sP5_iProver_def
| sP5_iProver_def = sP16_iProver_def
| sP7_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_253218,c_664]) ).
cnf(c_256850,plain,
( sP5_iProver_def = sP16_iProver_def
| sP7_iProver_def = sP20_iProver_def ),
inference(light_normalisation,[status(thm)],[c_256843,c_241231]) ).
cnf(c_257511,plain,
( inverse(sP17_iProver_def) = sP7_iProver_def
| sP19_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_241593,c_666]) ).
cnf(c_260181,plain,
( sP7_iProver_def != sP11_iProver_def
| sP9_iProver_def != sP11_iProver_def
| sP9_iProver_def = sP7_iProver_def ),
inference(instantiation,[status(thm)],[c_182130]) ).
cnf(c_260493,plain,
( sP5_iProver_def = sP7_iProver_def
| sP5_iProver_def = sP13_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_241753,c_88199]) ).
cnf(c_260496,plain,
( sP5_iProver_def = sP7_iProver_def
| sP5_iProver_def = sP13_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_241753,c_53866]) ).
cnf(c_260726,plain,
( sk_c11 = sP19_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_253865,c_672,c_680,c_1408,c_1451,c_1547,c_1827,c_1828,c_2294,c_2564,c_2619,c_5135,c_6495,c_18988,c_20880,c_21463,c_22955,c_23353,c_38734,c_39373,c_39399,c_54653,c_72430,c_78957,c_86535,c_87181,c_89274,c_108808,c_114739,c_127698,c_175888,c_181640,c_198171,c_241192,c_249529,c_255463,c_260493]) ).
cnf(c_261333,plain,
( sk_c10 = sP18_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_253866,c_672,c_1451,c_1501,c_1547,c_1588,c_1827,c_1828,c_2294,c_2564,c_2619,c_4928,c_6495,c_18189,c_18239,c_18294,c_18988,c_19024,c_19740,c_38734,c_39407,c_40368,c_50302,c_54654,c_69498,c_72430,c_78957,c_82884,c_87181,c_89274,c_114739,c_127698,c_171777,c_175888,c_175892,c_181640,c_198171,c_214023,c_255463,c_260493,c_260726]) ).
cnf(c_261492,plain,
( sk_c10 = sP5_iProver_def
| sP11_iProver_def = sP18_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_261333,c_741]) ).
cnf(c_261506,plain,
( sk_c11 = sP7_iProver_def
| sP11_iProver_def = sP18_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_261333,c_691]) ).
cnf(c_261824,plain,
sP5_iProver_def = sP18_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_254384,c_672,c_1451,c_1547,c_1588,c_2294,c_2564,c_2619,c_4093,c_4346,c_12123,c_21284,c_32333,c_32622,c_33529,c_38734,c_39407,c_39518,c_41067,c_55872,c_56930,c_63771,c_69498,c_72430,c_78963,c_87184,c_114739,c_127698,c_165084,c_175888,c_181640,c_198173,c_247070,c_255786,c_260496]) ).
cnf(c_261826,plain,
( sk_c10 = sP5_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(demodulation,[status(thm)],[c_261333,c_261824]) ).
cnf(c_261837,plain,
( sP5_iProver_def != sP16_iProver_def
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_250696,c_261824]) ).
cnf(c_261841,plain,
( sP5_iProver_def != sP9_iProver_def
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_196532,c_261824]) ).
cnf(c_261929,plain,
( multiply(sP20_iProver_def,sk_c3) = sP5_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_9426,c_261824]) ).
cnf(c_262506,plain,
( sk_c11 != sP5_iProver_def
| ~ sP4_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_261826,c_40368]) ).
cnf(c_262507,plain,
( sP17_iProver_def = sP19_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_261826,c_39407]) ).
cnf(c_262783,plain,
( sP5_iProver_def != sP9_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP4_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_203620,c_261841]) ).
cnf(c_262795,plain,
( sP5_iProver_def != sP11_iProver_def
| ~ sP1_iProver_def
| sP5_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_243468,c_261837]) ).
cnf(c_269304,plain,
( sP5_iProver_def = sP16_iProver_def
| sP11_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_246399,c_243468]) ).
cnf(c_269406,plain,
( sP5_iProver_def = sP16_iProver_def
| sP11_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_246556,c_243468]) ).
cnf(c_269447,plain,
( sP11_iProver_def = sP18_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_261492,c_664,c_672,c_1451,c_1547,c_1588,c_1827,c_1828,c_2294,c_2564,c_2619,c_4093,c_4346,c_4881,c_5762,c_5763,c_10280,c_10530,c_11116,c_12123,c_21284,c_32333,c_32622,c_33242,c_33529,c_38734,c_39407,c_39531,c_39518,c_41067,c_55872,c_56930,c_61297,c_63771,c_69498,c_72430,c_78963,c_78958,c_85078,c_86259,c_87184,c_90041,c_108978,c_114739,c_127698,c_156744,c_165084,c_175888,c_176017,c_181640,c_198173,c_244697,c_247070,c_255463,c_255786,c_260496,c_260493,c_261333,c_261506,c_261837,c_261826]) ).
cnf(c_269449,plain,
sP17_iProver_def = sP19_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_269447,c_664,c_672,c_1451,c_1547,c_1588,c_2294,c_2564,c_2619,c_4093,c_4346,c_4881,c_10530,c_11116,c_11867,c_12123,c_21284,c_32333,c_32622,c_33529,c_38734,c_39407,c_39518,c_41067,c_55872,c_56930,c_60869,c_61297,c_63771,c_69498,c_72430,c_78963,c_85078,c_87184,c_90041,c_108978,c_114739,c_127698,c_156744,c_165084,c_175888,c_181640,c_198173,c_247070,c_255463,c_255786,c_260496,c_261333,c_261837,c_261826,c_262507,c_262506,c_269447]) ).
cnf(c_269466,plain,
( inverse(sP17_iProver_def) = sP7_iProver_def
| sP17_iProver_def = sP20_iProver_def ),
inference(demodulation,[status(thm)],[c_257511,c_269449]) ).
cnf(c_269704,plain,
( inverse(sP17_iProver_def) = sP5_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_8561,c_269449]) ).
cnf(c_269705,plain,
( inverse(sP17_iProver_def) = sP5_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_8461,c_269449]) ).
cnf(c_269706,plain,
( inverse(sP17_iProver_def) = sP5_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_8290,c_269449]) ).
cnf(c_269723,plain,
( inverse(sP17_iProver_def) = sP5_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_2187,c_269449]) ).
cnf(c_269725,plain,
multiply(sP20_iProver_def,sP17_iProver_def) = sk_c10,
inference(demodulation,[status(thm)],[c_13402,c_269449]) ).
cnf(c_271184,plain,
( multiply(sP7_iProver_def,sP17_iProver_def) = sk_c10
| sP6_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_9413,c_269725]) ).
cnf(c_271185,plain,
( multiply(sP7_iProver_def,sP17_iProver_def) = sk_c10
| sP8_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_9258,c_269725]) ).
cnf(c_271186,plain,
( multiply(sP7_iProver_def,sP17_iProver_def) = sk_c10
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_9143,c_269725]) ).
cnf(c_271263,plain,
( sk_c11 = sk_c10
| sP9_iProver_def = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_271186,c_13390]) ).
cnf(c_271266,plain,
( sk_c11 = sk_c10
| sP8_iProver_def = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_271185,c_13390]) ).
cnf(c_271269,plain,
( sk_c11 = sk_c10
| sP6_iProver_def = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_271184,c_13390]) ).
cnf(c_274996,plain,
( multiply(sP7_iProver_def,sP17_iProver_def) = sk_c10
| sP5_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_256850,c_269725]) ).
cnf(c_275090,plain,
( sk_c11 = sk_c10
| sP5_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_274996,c_13390]) ).
cnf(c_277464,plain,
( inverse(sP16_iProver_def) = sP5_iProver_def
| sk_c11 = sP13_iProver_def
| sP5_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_253242,c_269723]) ).
cnf(c_277529,plain,
( sk_c11 = sP13_iProver_def
| sP5_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_277464,c_241231]) ).
cnf(c_277646,plain,
( sP5_iProver_def != sP9_iProver_def
| sP2_iProver_def
| sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_262783,c_672,c_1671,c_1828,c_2294,c_3829,c_4813,c_4888,c_4893,c_12342,c_21307,c_21310,c_33242,c_40368,c_60618,c_60883,c_78113,c_120691,c_120690,c_127384,c_127755,c_127754,c_176017,c_178351,c_190562,c_210287,c_222377,c_246208,c_249269,c_261841,c_261837,c_262783,c_262795,c_269406,c_275090,c_277529]) ).
cnf(c_277648,plain,
( sP2_iProver_def
| sP5_iProver_def != sP9_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_277646,c_672,c_1671,c_1828,c_2294,c_3829,c_4813,c_4888,c_4893,c_12342,c_21307,c_21310,c_33242,c_40368,c_60618,c_60883,c_78113,c_120691,c_120690,c_127384,c_127755,c_127754,c_176017,c_178351,c_190562,c_210287,c_222377,c_246208,c_249269,c_261841,c_261837,c_262783,c_262795,c_269406,c_275090,c_277529]) ).
cnf(c_277649,plain,
( sP5_iProver_def != sP9_iProver_def
| sP2_iProver_def ),
inference(renaming,[status(thm)],[c_277648]) ).
cnf(c_279473,plain,
( ~ sP1_iProver_def
| sP11_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_269304,c_261837]) ).
cnf(c_279562,plain,
~ sP1_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_279473,c_672,c_1671,c_1828,c_2294,c_3829,c_4813,c_4888,c_33242,c_120691,c_120690,c_127384,c_127755,c_127754,c_249269,c_261837,c_262795,c_269406,c_275090,c_277529]) ).
cnf(c_279576,plain,
( sP6_iProver_def = sP11_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_14321,c_279562]) ).
cnf(c_279577,plain,
( sP8_iProver_def = sP11_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_14309,c_279562]) ).
cnf(c_280286,plain,
( sP6_iProver_def = sP11_iProver_def
| sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_279576,c_224059,c_279562]) ).
cnf(c_280292,plain,
( sP8_iProver_def = sP11_iProver_def
| sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_279577,c_672,c_1671,c_1828,c_2294,c_3829,c_4813,c_4888,c_33242,c_120691,c_120690,c_127384,c_127755,c_127754,c_222389,c_249269,c_261837,c_262795,c_269406,c_275090,c_277529]) ).
cnf(c_282595,plain,
identity = sP11_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_96553,c_664,c_672,c_1451,c_1547,c_1588,c_1671,c_1828,c_2294,c_2564,c_2619,c_3829,c_4093,c_4346,c_4813,c_4881,c_4888,c_10530,c_11116,c_12123,c_12360,c_21284,c_32333,c_32622,c_33242,c_33529,c_38734,c_39407,c_39518,c_41067,c_50302,c_54654,c_54651,c_55766,c_55872,c_55874,c_56030,c_56930,c_61297,c_63771,c_69498,c_72430,c_78963,c_80383,c_87184,c_89066,c_90866,c_114739,c_117911,c_117919,c_120691,c_120690,c_127384,c_127698,c_127755,c_127754,c_164263,c_165084,c_175888,c_181640,c_183267,c_189185,c_195135,c_198173,c_247070,c_249269,c_255786,c_260496,c_261837,c_262795,c_269406,c_275090,c_277529]) ).
cnf(c_282597,plain,
sP11_iProver_def = sP16_iProver_def,
inference(demodulation,[status(thm)],[c_241063,c_282595]) ).
cnf(c_282631,plain,
( sk_c11 = sP7_iProver_def
| sP5_iProver_def = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_241580,c_282597]) ).
cnf(c_282636,plain,
( ~ sP4_iProver_def
| sk_c11 = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_246030,c_282597]) ).
cnf(c_282661,plain,
multiply(sk_c2,sP7_iProver_def) = sP11_iProver_def,
inference(demodulation,[status(thm)],[c_241127,c_282597]) ).
cnf(c_282662,plain,
inverse(sP11_iProver_def) = sP11_iProver_def,
inference(demodulation,[status(thm)],[c_241231,c_282597]) ).
cnf(c_282754,plain,
( sk_c11 = sP11_iProver_def
| sk_c11 = sP20_iProver_def ),
inference(demodulation,[status(thm)],[c_736,c_282597]) ).
cnf(c_282756,plain,
( sk_c11 = sP7_iProver_def
| sk_c11 = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_696,c_282597]) ).
cnf(c_283612,plain,
sk_c11 = sP7_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_282756,c_664,c_672,c_1451,c_1547,c_1588,c_1671,c_1819,c_1828,c_2294,c_2564,c_2569,c_2619,c_3829,c_4093,c_4346,c_4813,c_4881,c_4888,c_6880,c_9785,c_10530,c_11116,c_12123,c_12360,c_14981,c_21284,c_32333,c_32622,c_33242,c_33529,c_36965,c_38734,c_39379,c_39407,c_39518,c_41067,c_45982,c_50302,c_54654,c_54651,c_55766,c_55872,c_55874,c_56030,c_56930,c_61297,c_63771,c_69498,c_72430,c_78963,c_80383,c_87184,c_89066,c_90866,c_114739,c_117911,c_117919,c_120691,c_120690,c_127384,c_127698,c_127755,c_127754,c_164263,c_165084,c_175888,c_181640,c_183267,c_189185,c_195135,c_198173,c_203608,c_247070,c_249269,c_255786,c_260496,c_261837,c_262795,c_269406,c_275090,c_277529,c_282597,c_282756,c_282631]) ).
cnf(c_283788,plain,
multiply(sk_c2,sP7_iProver_def) = sP17_iProver_def,
inference(demodulation,[status(thm)],[c_676,c_283612]) ).
cnf(c_283791,plain,
inverse(sP7_iProver_def) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_664,c_283612]) ).
cnf(c_283807,plain,
sP11_iProver_def = sP17_iProver_def,
inference(light_normalisation,[status(thm)],[c_283788,c_282661]) ).
cnf(c_284005,plain,
( inverse(sP11_iProver_def) = sP5_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_269706,c_283807]) ).
cnf(c_284006,plain,
( inverse(sP11_iProver_def) = sP5_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_269705,c_283807]) ).
cnf(c_284007,plain,
( inverse(sP11_iProver_def) = sP5_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_269704,c_283807]) ).
cnf(c_284012,plain,
( inverse(sP11_iProver_def) = sP7_iProver_def
| sP11_iProver_def = sP20_iProver_def ),
inference(demodulation,[status(thm)],[c_269466,c_283807]) ).
cnf(c_284060,plain,
( sP7_iProver_def = sP11_iProver_def
| sP11_iProver_def = sP20_iProver_def ),
inference(light_normalisation,[status(thm)],[c_284012,c_282662]) ).
cnf(c_284071,plain,
( sP5_iProver_def = sP11_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_284007,c_282662]) ).
cnf(c_284074,plain,
( sP5_iProver_def = sP11_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_284006,c_282662]) ).
cnf(c_284077,plain,
( sP5_iProver_def = sP11_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_284005,c_282662]) ).
cnf(c_284308,plain,
sP8_iProver_def = sP11_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_14376,c_664,c_672,c_1451,c_1547,c_1588,c_1671,c_1828,c_2294,c_2564,c_2619,c_3765,c_3829,c_4093,c_4346,c_4813,c_4881,c_4888,c_10530,c_11116,c_12123,c_12357,c_12360,c_21284,c_32333,c_32622,c_33242,c_33529,c_38734,c_39407,c_39518,c_41067,c_50302,c_54654,c_54651,c_55766,c_55872,c_55874,c_56030,c_56930,c_60881,c_61297,c_63771,c_69498,c_72430,c_78963,c_80383,c_87184,c_89066,c_90866,c_114739,c_117911,c_117919,c_120691,c_120690,c_127384,c_127698,c_127740,c_127755,c_127754,c_164263,c_165084,c_175888,c_181640,c_183267,c_189185,c_195135,c_198173,c_247070,c_249269,c_255786,c_260496,c_261837,c_262795,c_269406,c_271266,c_275090,c_277529,c_280292,c_284074]) ).
cnf(c_284310,plain,
inverse(sP8_iProver_def) = sP8_iProver_def,
inference(demodulation,[status(thm)],[c_282662,c_284308]) ).
cnf(c_284496,plain,
sP9_iProver_def = sP11_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_14377,c_664,c_667,c_672,c_1451,c_1547,c_1588,c_1671,c_1828,c_2294,c_2564,c_2619,c_3766,c_3765,c_3764,c_3829,c_4093,c_4346,c_4813,c_4881,c_4888,c_10530,c_11116,c_12123,c_12129,c_12357,c_12360,c_18996,c_21284,c_32333,c_32622,c_33242,c_33529,c_38734,c_39407,c_39518,c_41067,c_43168,c_50302,c_54654,c_54651,c_55766,c_55872,c_55874,c_56030,c_56930,c_60881,c_60878,c_61297,c_63771,c_69498,c_71504,c_72430,c_78963,c_80383,c_87184,c_87183,c_89066,c_90268,c_90866,c_94103,c_114739,c_117911,c_117919,c_120691,c_120690,c_124596,c_127384,c_127698,c_127740,c_127755,c_127754,c_164263,c_165084,c_169072,c_175888,c_181640,c_183267,c_189185,c_195135,c_198173,c_222377,c_223063,c_247070,c_249269,c_255786,c_260496,c_261837,c_262795,c_269406,c_271269,c_271266,c_271263,c_275090,c_277529,c_280286,c_280292,c_284077,c_284074,c_284071]) ).
cnf(c_284498,plain,
sP8_iProver_def = sP9_iProver_def,
inference(light_normalisation,[status(thm)],[c_284496,c_284308]) ).
cnf(c_284501,plain,
( sP5_iProver_def != sP8_iProver_def
| sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_277649,c_284498]) ).
cnf(c_284518,plain,
sP6_iProver_def = sP11_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_261929,c_1451,c_2294,c_2564,c_3766,c_4346,c_4888,c_12357,c_38734,c_60878,c_71504,c_90268,c_124596,c_181640,c_271269,c_280286,c_282595,c_284071,c_284308]) ).
cnf(c_284520,plain,
sP6_iProver_def = sP8_iProver_def,
inference(demodulation,[status(thm)],[c_284308,c_284518]) ).
cnf(c_284655,plain,
inverse(sP6_iProver_def) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_284310,c_284520]) ).
cnf(c_284658,plain,
sk_c11 = sP11_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_282636,c_664,c_666,c_672,c_679,c_1451,c_1547,c_1588,c_1671,c_1819,c_1828,c_2294,c_2564,c_2569,c_2619,c_3765,c_3829,c_4093,c_4346,c_4813,c_4881,c_4888,c_6880,c_9785,c_10530,c_11116,c_12123,c_12129,c_12357,c_12360,c_13330,c_14981,c_16401,c_21284,c_32333,c_32622,c_33239,c_33242,c_33244,c_33529,c_36965,c_37986,c_38734,c_39379,c_39407,c_39518,c_41067,c_43448,c_45982,c_50302,c_54654,c_54651,c_55766,c_55872,c_55874,c_56030,c_56930,c_60881,c_61297,c_63771,c_69498,c_72430,c_78963,c_80383,c_80755,c_87184,c_89066,c_90866,c_114739,c_117911,c_117919,c_118066,c_120691,c_120690,c_127384,c_127698,c_127740,c_127755,c_127754,c_164263,c_165084,c_175888,c_181640,c_183267,c_189185,c_195135,c_198173,c_203608,c_234692,c_247070,c_249269,c_255786,c_260181,c_260496,c_261837,c_262795,c_269406,c_271266,c_275090,c_277529,c_280292,c_282597,c_282756,c_282754,c_282631,c_284074,c_284060,c_284496]) ).
cnf(c_284660,plain,
sP6_iProver_def = sP7_iProver_def,
inference(light_normalisation,[status(thm)],[c_284658,c_283612,c_284518]) ).
cnf(c_284661,plain,
inverse(sP6_iProver_def) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_283791,c_284660]) ).
cnf(c_284701,plain,
sP5_iProver_def = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_284655,c_284661]) ).
cnf(c_284711,plain,
sP5_iProver_def = sP11_iProver_def,
inference(demodulation,[status(thm)],[c_284518,c_284701]) ).
cnf(c_284716,plain,
sk_c10 = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_737,c_284701]) ).
cnf(c_284724,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_284711,c_284716,c_284658,c_284501,c_284308,c_282595,c_181640,c_72430,c_61297,c_60869,c_60873,c_38734,c_11116,c_4888,c_2564,c_2294,c_1451]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP238-1 : TPTP v8.2.0. Released v2.5.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 20 08:29:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 43.60/6.71 % SZS status Started for theBenchmark.p
% 43.60/6.71 % SZS status Unsatisfiable for theBenchmark.p
% 43.60/6.71
% 43.60/6.71 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 43.60/6.71
% 43.60/6.71 ------ iProver source info
% 43.60/6.71
% 43.60/6.71 git: date: 2024-06-12 09:56:46 +0000
% 43.60/6.71 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 43.60/6.71 git: non_committed_changes: false
% 43.60/6.71
% 43.60/6.71 ------ Parsing...successful
% 43.60/6.71
% 43.60/6.71
% 43.60/6.71
% 43.60/6.71 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 43.60/6.71
% 43.60/6.71 ------ Preprocessing... gs_s sp: 6 0s gs_e snvd_s sp: 0 0s snvd_e
% 43.60/6.71
% 43.60/6.71 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 43.60/6.71 ------ Proving...
% 43.60/6.71 ------ Problem Properties
% 43.60/6.71
% 43.60/6.71
% 43.60/6.71 clauses 85
% 43.60/6.71 conjectures 66
% 43.60/6.71 EPR 61
% 43.60/6.71 Horn 24
% 43.60/6.71 unary 19
% 43.60/6.71 binary 60
% 43.60/6.71 lits 160
% 43.60/6.71 lits eq 150
% 43.60/6.71 fd_pure 0
% 43.60/6.71 fd_pseudo 0
% 43.60/6.71 fd_cond 0
% 43.60/6.71 fd_pseudo_cond 0
% 43.60/6.71 AC symbols 0
% 43.60/6.71
% 43.60/6.71 ------ Schedule dynamic 5 is on
% 43.60/6.71
% 43.60/6.71 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 43.60/6.71
% 43.60/6.71
% 43.60/6.71 ------
% 43.60/6.71 Current options:
% 43.60/6.71 ------
% 43.60/6.71
% 43.60/6.71
% 43.60/6.71
% 43.60/6.71
% 43.60/6.71 ------ Proving...
% 43.60/6.71
% 43.60/6.71
% 43.60/6.71 % SZS status Unsatisfiable for theBenchmark.p
% 43.60/6.71
% 43.60/6.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 43.60/6.72
% 43.60/6.72
%------------------------------------------------------------------------------