TSTP Solution File: GRP238-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP238-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 : Fri May 3 02:21:51 EDT 2024
% Result : Unsatisfiable 37.79s 6.25s
% Output : CNFRefutation 37.79s
% 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/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( inverse(sk_c11) = sk_c10
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_52,negated_conjecture,
( inverse(sk_c11) = sk_c10
| inverse(sk_c6) = sk_c11 ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( inverse(sk_c11) = sk_c10
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( inverse(sk_c11) = sk_c10
| inverse(sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c4) = sk_c5
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_62,negated_conjecture,
( inverse(sk_c6) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( inverse(sk_c7) = sk_c8
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( inverse(sk_c9) = sk_c10
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c6) = sk_c11 ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_82,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| inverse(sk_c6) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_84,negated_conjecture,
( multiply(sk_c11,sk_c3) = sk_c10
| multiply(sk_c7,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
cnf(c_92,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c3
| inverse(sk_c6) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
cnf(c_94,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c10
| multiply(sk_c2,sk_c11) = sk_c3 ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
cnf(c_100,negated_conjecture,
( inverse(sk_c4) = sk_c5
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_52) ).
cnf(c_102,negated_conjecture,
( inverse(sk_c6) = sk_c11
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_56) ).
cnf(c_105,negated_conjecture,
( inverse(sk_c7) = sk_c8
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_58) ).
cnf(c_107,negated_conjecture,
( inverse(sk_c9) = sk_c10
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_61) ).
cnf(c_110,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_111,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_112,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/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_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_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_703,negated_conjecture,
( sP13_iProver_def = sk_c11
| sP17_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_92]) ).
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_713,negated_conjecture,
( sP13_iProver_def = sk_c11
| sP18_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_82]) ).
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_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_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_753,plain,
sk_c11 = sk_c11,
inference(instantiation,[status(thm)],[c_747]) ).
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_1114,plain,
( sk_c11 = sP7_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_689,c_687]) ).
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_1195,plain,
( sk_c11 = sP7_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_696,c_693]) ).
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_1258,plain,
( multiply(sk_c6,sP6_iProver_def) = sP12_iProver_def
| sk_c11 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_687,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_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_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_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_1587,plain,
( X0 != sP11_iProver_def
| sk_c10 != sP11_iProver_def
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1453]) ).
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_1670,plain,
( sP5_iProver_def != X0
| sP11_iProver_def != X0
| sP5_iProver_def = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_748]) ).
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_1707,plain,
( sk_c11 != sk_c11
| sP8_iProver_def != sk_c11
| sk_c11 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_1706]) ).
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_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_1959,plain,
( multiply(sk_c1,sP9_iProver_def) = sP19_iProver_def
| sk_c11 = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_719,c_678]) ).
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_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_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_2296,plain,
( sP5_iProver_def != sk_c10
| sP6_iProver_def != sk_c10
| sP5_iProver_def = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_1631]) ).
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_2496,plain,
( sk_c11 = sP20_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_728,c_727]) ).
cnf(c_2508,plain,
( multiply(sk_c1,sP8_iProver_def) = sP19_iProver_def
| sk_c11 = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_728,c_678]) ).
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_2575,plain,
( X0 != sk_c10
| sP6_iProver_def != sk_c10
| X0 = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_1677]) ).
cnf(c_2580,plain,
( X0 != sk_c10
| sP8_iProver_def != sk_c10
| X0 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_1706]) ).
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_2614,plain,
( inverse(X0) != inverse(X1)
| sk_c11 != inverse(X1)
| inverse(X0) = 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_2770,plain,
( multiply(sk_c1,sP11_iProver_def) = sP19_iProver_def
| sk_c11 = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_731,c_678]) ).
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_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_3057,plain,
( inverse(sk_c9) != X0
| X1 != X0
| X1 = inverse(sk_c9) ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_3058,plain,
( inverse(sk_c9) != sk_c11
| sk_c11 != sk_c11
| sk_c11 = inverse(sk_c9) ),
inference(instantiation,[status(thm)],[c_3057]) ).
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_3314,plain,
( multiply(sk_c1,sP6_iProver_def) = sP19_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_737,c_678]) ).
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_3704,plain,
( X0 != sP5_iProver_def
| sP5_iProver_def != sP5_iProver_def
| sP5_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_2295]) ).
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_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_3828,plain,
( X0 != sP11_iProver_def
| sP11_iProver_def != sP11_iProver_def
| sP11_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_2458]) ).
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_4099,plain,
( multiply(sk_c1,sP5_iProver_def) = sP19_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_743,c_678]) ).
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_4445,plain,
( multiply(sk_c1,sP5_iProver_def) = sP19_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_746,c_678]) ).
cnf(c_4521,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_4588,plain,
( sk_c11 = sP16_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_746,c_680]) ).
cnf(c_4595,plain,
( sP5_iProver_def != sP6_iProver_def
| sk_c10 = sP5_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_737,c_680]) ).
cnf(c_4596,plain,
( sP5_iProver_def != sP11_iProver_def
| sk_c11 = sP20_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_731,c_680]) ).
cnf(c_4599,plain,
( sP5_iProver_def != sP6_iProver_def
| sk_c11 = sP20_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_727,c_680]) ).
cnf(c_4812,plain,
( X0 != sk_c10
| sP5_iProver_def != sk_c10
| sP5_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_2295]) ).
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_4886,plain,
( sk_c11 != sP18_iProver_def
| sk_c10 != sP18_iProver_def
| sk_c11 = sk_c10 ),
inference(instantiation,[status(thm)],[c_4883]) ).
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_4891,plain,
( X0 != sP5_iProver_def
| sk_c10 != sP5_iProver_def
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_1410]) ).
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_4903,plain,
( inverse(identity) != sk_c10
| sk_c11 != sk_c10
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_110,c_682]) ).
cnf(c_4910,plain,
( multiply(X0,sP19_iProver_def) != sk_c10
| inverse(X0) != sk_c10
| ~ sP3_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_726,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_4991,plain,
( multiply(sk_c11,sP19_iProver_def) != sk_c10
| inverse(sk_c11) != sk_c10
| ~ sP3_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(instantiation,[status(thm)],[c_4910]) ).
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_5482,plain,
( sk_c11 != X0
| sP5_iProver_def != X0
| sk_c11 = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_748]) ).
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_5764,plain,
( X0 != X1
| sP18_iProver_def != X1
| X0 = sP18_iProver_def ),
inference(instantiation,[status(thm)],[c_748]) ).
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_6221,plain,
( sP6_iProver_def != sk_c10
| sP9_iProver_def != sk_c10
| sP9_iProver_def = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_2575]) ).
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_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_6492,plain,
( sP9_iProver_def != sk_c10
| sP11_iProver_def != sk_c10
| sP9_iProver_def = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_2606]) ).
cnf(c_7615,plain,
( sk_c11 = sP16_iProver_def
| sP7_iProver_def = sP19_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1195,c_726]) ).
cnf(c_7617,plain,
( sk_c11 = sP13_iProver_def
| sP7_iProver_def = sP19_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1195,c_723]) ).
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_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_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_8773,plain,
( inverse(sk_c9) != sP8_iProver_def
| sP8_iProver_def != sP8_iProver_def
| sP8_iProver_def = inverse(sk_c9) ),
inference(instantiation,[status(thm)],[c_3718]) ).
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_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_10527,plain,
multiply(identity,sP5_iProver_def) = sP5_iProver_def,
inference(instantiation,[status(thm)],[c_110]) ).
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_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_11106,plain,
( inverse(sk_c11) != sP5_iProver_def
| sP5_iProver_def != sP5_iProver_def
| sP5_iProver_def = inverse(sk_c11) ),
inference(instantiation,[status(thm)],[c_3704]) ).
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_11958,plain,
( sP6_iProver_def != sP8_iProver_def
| sP8_iProver_def != sP8_iProver_def
| sP8_iProver_def = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_3718]) ).
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_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_12118,plain,
( X0 != sP9_iProver_def
| sP8_iProver_def != sP9_iProver_def
| X0 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_1706]) ).
cnf(c_12119,plain,
( sk_c11 != sP9_iProver_def
| sP8_iProver_def != sP9_iProver_def
| sk_c11 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_12118]) ).
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_12126,plain,
( X0 != sP11_iProver_def
| sP6_iProver_def != sP11_iProver_def
| X0 = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_1677]) ).
cnf(c_12131,plain,
( sk_c10 != sP11_iProver_def
| sP8_iProver_def != sP11_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_1546]) ).
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_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_12344,plain,
( sk_c10 != sP11_iProver_def
| sP9_iProver_def != sP11_iProver_def
| sk_c10 = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_1546]) ).
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_13106,plain,
( X0 != sP6_iProver_def
| sP8_iProver_def != sP6_iProver_def
| sP8_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_2452]) ).
cnf(c_13107,plain,
( X0 != sP6_iProver_def
| sP8_iProver_def != sP6_iProver_def
| X0 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_1706]) ).
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_13315,plain,
( X0 != sP6_iProver_def
| sP11_iProver_def != sP6_iProver_def
| X0 = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_1821]) ).
cnf(c_13316,plain,
( sk_c11 != sP6_iProver_def
| sP11_iProver_def != sP6_iProver_def
| sk_c11 = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_13315]) ).
cnf(c_13390,plain,
multiply(sP7_iProver_def,sP17_iProver_def) = sk_c11,
inference(superposition,[status(thm)],[c_676,c_6416]) ).
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_13651,plain,
multiply(sP10_iProver_def,sP11_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_670,c_6419]) ).
cnf(c_13656,plain,
multiply(sP13_iProver_def,sP12_iProver_def) = sk_c10,
inference(superposition,[status(thm)],[c_671,c_6420]) ).
cnf(c_13780,plain,
( sP6_iProver_def = sP8_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_10884,c_1848,c_2496,c_5131,c_10884]) ).
cnf(c_13792,plain,
( sP8_iProver_def = sP9_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_11151,c_680,c_1949,c_2294,c_2642,c_3618,c_4888,c_5131]) ).
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_14280,plain,
( sP9_iProver_def = sP11_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_11607,c_680,c_2049,c_2294,c_2756,c_3764,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_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_15023,plain,
( multiply(sP13_iProver_def,sP12_iProver_def) = sP6_iProver_def
| sk_c11 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_1258,c_6420]) ).
cnf(c_15024,plain,
( sk_c11 = sP7_iProver_def
| sk_c10 = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_15023,c_13656]) ).
cnf(c_15867,plain,
( multiply(sP7_iProver_def,sP17_iProver_def) = sP18_iProver_def
| sk_c10 = sP11_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1132,c_1302]) ).
cnf(c_15868,plain,
( multiply(sP7_iProver_def,sP17_iProver_def) = sP18_iProver_def
| sk_c10 = sP11_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1131,c_1302]) ).
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_15872,plain,
( multiply(sP7_iProver_def,sP17_iProver_def) = sP18_iProver_def
| sk_c10 = sP11_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_1103,c_1302]) ).
cnf(c_15886,plain,
( multiply(sP5_iProver_def,sP18_iProver_def) = sP17_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1302,c_6422]) ).
cnf(c_15887,plain,
( sk_c10 = sP11_iProver_def
| sk_c3 = sP17_iProver_def ),
inference(light_normalisation,[status(thm)],[c_15886,c_13816]) ).
cnf(c_15910,plain,
( sk_c11 = sP18_iProver_def
| sk_c10 = sP11_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_15872,c_13390]) ).
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_15926,plain,
( sk_c11 = sP18_iProver_def
| sk_c10 = sP11_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_15868,c_13390]) ).
cnf(c_15930,plain,
( sk_c11 = sP18_iProver_def
| sk_c10 = sP11_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_15867,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_16174,plain,
( multiply(sP7_iProver_def,sP17_iProver_def) = sP18_iProver_def
| sk_c10 = sP9_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1130,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_16227,plain,
( sk_c11 = sP18_iProver_def
| sk_c10 = sP9_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_16174,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_16505,plain,
( multiply(sP7_iProver_def,sP17_iProver_def) = sP18_iProver_def
| sk_c10 = sP8_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1131,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_16563,plain,
( sk_c11 = sP18_iProver_def
| sk_c10 = sP8_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_16505,c_13390]) ).
cnf(c_16979,plain,
( multiply(sP7_iProver_def,sP17_iProver_def) = sP18_iProver_def
| sk_c10 = sP6_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1114,c_1305]) ).
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_16995,plain,
( multiply(sP5_iProver_def,sP18_iProver_def) = sP17_iProver_def
| sk_c10 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_1305,c_6422]) ).
cnf(c_16996,plain,
( sk_c10 = sP6_iProver_def
| sk_c3 = sP17_iProver_def ),
inference(light_normalisation,[status(thm)],[c_16995,c_13816]) ).
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_17027,plain,
( sk_c11 = sP18_iProver_def
| sk_c10 = sP6_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_16979,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_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_19172,plain,
( X0 != inverse(sk_c9)
| sP6_iProver_def != inverse(sk_c9)
| X0 = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_1677]) ).
cnf(c_19173,plain,
( sk_c11 != inverse(sk_c9)
| sP6_iProver_def != inverse(sk_c9)
| sk_c11 = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_19172]) ).
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_19747,plain,
( X0 != inverse(sk_c9)
| sP8_iProver_def != inverse(sk_c9)
| X0 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_1706]) ).
cnf(c_19748,plain,
( sk_c11 != inverse(sk_c9)
| sP8_iProver_def != inverse(sk_c9)
| sk_c11 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_19747]) ).
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_20679,plain,
( multiply(sP20_iProver_def,sP19_iProver_def) = sP9_iProver_def
| sk_c11 = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_1959,c_6417]) ).
cnf(c_20680,plain,
( sk_c11 = sP19_iProver_def
| sk_c10 = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_20679,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_21299,plain,
( inverse(sk_c6) != sP8_iProver_def
| inverse(sk_c9) != sP8_iProver_def
| inverse(sk_c9) = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_5083]) ).
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_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_22230,plain,
( multiply(sP20_iProver_def,sP19_iProver_def) = sP8_iProver_def
| sk_c11 = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_2508,c_6417]) ).
cnf(c_22231,plain,
( sk_c11 = sP20_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_22230,c_13402]) ).
cnf(c_22830,plain,
( multiply(sP20_iProver_def,sP19_iProver_def) = sP11_iProver_def
| sk_c11 = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_2770,c_6417]) ).
cnf(c_22831,plain,
( sk_c11 = sP20_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_22830,c_13402]) ).
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_24076,plain,
( multiply(sP20_iProver_def,sP19_iProver_def) = sP6_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_3314,c_6417]) ).
cnf(c_24077,plain,
( sk_c10 = sP5_iProver_def
| sk_c10 = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_24076,c_13402]) ).
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_25126,plain,
( multiply(sP20_iProver_def,sP19_iProver_def) = sP5_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_4099,c_6417]) ).
cnf(c_25127,plain,
( sk_c11 = sP13_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_25126,c_13402]) ).
cnf(c_25282,plain,
( multiply(sP20_iProver_def,sP19_iProver_def) = sP5_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_4445,c_6417]) ).
cnf(c_25283,plain,
( sk_c11 = sP16_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_25282,c_13402]) ).
cnf(c_27749,plain,
multiply(sk_c7,sP9_iProver_def) = multiply(sP11_iProver_def,sk_c11),
inference(superposition,[status(thm)],[c_668,c_6395]) ).
cnf(c_32573,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_33206,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_33267,plain,
( sP5_iProver_def = sP18_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_33206,c_32573]) ).
cnf(c_33478,plain,
( inverse(sk_c11) != sP5_iProver_def
| sk_c11 != sP5_iProver_def
| sk_c11 = inverse(sk_c11) ),
inference(instantiation,[status(thm)],[c_5863]) ).
cnf(c_33479,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_33482,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_33493,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_33555,plain,
( sP5_iProver_def = sP18_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_33493,c_33206]) ).
cnf(c_33704,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_33767,plain,
( sP5_iProver_def = sP18_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_33704,c_33493]) ).
cnf(c_34180,plain,
multiply(identity,inverse(X0)) = inverse(X0),
inference(instantiation,[status(thm)],[c_110]) ).
cnf(c_34182,plain,
multiply(identity,inverse(sk_c11)) = inverse(sk_c11),
inference(instantiation,[status(thm)],[c_34180]) ).
cnf(c_35361,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_6402,c_110]) ).
cnf(c_35417,plain,
multiply(inverse(sk_c8),sP9_iProver_def) = sk_c11,
inference(superposition,[status(thm)],[c_668,c_35361]) ).
cnf(c_35422,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_110,c_35361]) ).
cnf(c_35423,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_111,c_35361]) ).
cnf(c_35570,plain,
multiply(inverse(sP20_iProver_def),identity) = sk_c1,
inference(superposition,[status(thm)],[c_1341,c_35361]) ).
cnf(c_35808,plain,
multiply(inverse(sP5_iProver_def),X0) = multiply(sk_c11,X0),
inference(superposition,[status(thm)],[c_6422,c_35361]) ).
cnf(c_35809,plain,
multiply(inverse(sP15_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_6421,c_35361]) ).
cnf(c_35810,plain,
multiply(inverse(sP13_iProver_def),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_6420,c_35361]) ).
cnf(c_35811,plain,
multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_6419,c_35361]) ).
cnf(c_35812,plain,
multiply(inverse(sP8_iProver_def),X0) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_6418,c_35361]) ).
cnf(c_35813,plain,
multiply(inverse(sP20_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_6417,c_35361]) ).
cnf(c_35814,plain,
multiply(inverse(sP7_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_6416,c_35361]) ).
cnf(c_35819,plain,
multiply(inverse(sP8_iProver_def),sk_c11) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_13634,c_35361]) ).
cnf(c_35874,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_35361,c_35361]) ).
cnf(c_36522,plain,
multiply(inverse(identity),sk_c11) = sk_c11,
inference(instantiation,[status(thm)],[c_35422]) ).
cnf(c_38912,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_35423,c_35874]) ).
cnf(c_38952,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_38912,c_35422]) ).
cnf(c_39276,plain,
( sk_c10 != sP8_iProver_def
| ~ sP3_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_737,c_4928]) ).
cnf(c_39280,plain,
( sk_c10 != sP8_iProver_def
| ~ sP3_iProver_def
| sk_c11 = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_727,c_4928]) ).
cnf(c_39284,plain,
( sk_c10 != sP8_iProver_def
| ~ sP3_iProver_def
| sk_c11 = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_717,c_4928]) ).
cnf(c_39296,plain,
( sk_c10 != sP8_iProver_def
| ~ sP3_iProver_def
| sk_c11 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_687,c_4928]) ).
cnf(c_39604,plain,
( ~ sP3_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_39276,c_24118,c_39276]) ).
cnf(c_39610,plain,
( ~ sP3_iProver_def
| sk_c11 = sP20_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_39280,c_22231,c_39280]) ).
cnf(c_39616,plain,
( ~ sP3_iProver_def
| sk_c11 = sP19_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_39284,c_20391,c_39284]) ).
cnf(c_39622,plain,
( ~ sP3_iProver_def
| sk_c11 = sP7_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_39296,c_15012,c_39296]) ).
cnf(c_39642,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_39644,plain,
~ sP0_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_39642,c_5135,c_22955,c_23353,c_39642]) ).
cnf(c_39649,plain,
( sk_c11 = sP16_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_4588,c_39644]) ).
cnf(c_39650,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_39644]) ).
cnf(c_39758,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_39650]) ).
cnf(c_39988,plain,
multiply(sk_c11,sP5_iProver_def) = identity,
inference(superposition,[status(thm)],[c_35808,c_111]) ).
cnf(c_39993,plain,
multiply(sk_c11,multiply(sP5_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_35808,c_35361]) ).
cnf(c_39994,plain,
multiply(sk_c11,identity) = inverse(sP5_iProver_def),
inference(superposition,[status(thm)],[c_35808,c_38912]) ).
cnf(c_40054,plain,
( multiply(sP20_iProver_def,sP5_iProver_def) = identity
| sk_c11 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_736,c_39988]) ).
cnf(c_40056,plain,
( multiply(sP20_iProver_def,sP5_iProver_def) = identity
| sk_c11 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_733,c_39988]) ).
cnf(c_40069,plain,
multiply(sk_c9,identity) = multiply(sP6_iProver_def,sP5_iProver_def),
inference(superposition,[status(thm)],[c_39988,c_6397]) ).
cnf(c_40314,plain,
inverse(sP5_iProver_def) = sk_c11,
inference(demodulation,[status(thm)],[c_39994,c_38912]) ).
cnf(c_40430,plain,
( inverse(sP5_iProver_def) != sk_c11
| sk_c11 != sk_c10
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_39993,c_681]) ).
cnf(c_40567,plain,
( sk_c11 != sk_c10
| ~ sP4_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_40430,c_40314]) ).
cnf(c_40712,plain,
( multiply(inverse(sP20_iProver_def),identity) = sP5_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_40054,c_35361]) ).
cnf(c_40714,plain,
( sk_c11 = sP16_iProver_def
| sk_c1 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_40712,c_35570]) ).
cnf(c_40896,plain,
( multiply(inverse(sP20_iProver_def),identity) = sP5_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_40056,c_35361]) ).
cnf(c_40898,plain,
( sk_c11 = sP13_iProver_def
| sk_c1 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_40896,c_35570]) ).
cnf(c_41193,plain,
( sk_c11 != sP5_iProver_def
| ~ sP4_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_3764,c_40567]) ).
cnf(c_41195,plain,
( sk_c11 != sP5_iProver_def
| ~ sP4_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_3618,c_40567]) ).
cnf(c_41196,plain,
( sk_c11 != sP5_iProver_def
| ~ sP4_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_3449,c_40567]) ).
cnf(c_41205,plain,
( sk_c11 != sP11_iProver_def
| ~ sP4_iProver_def
| sk_c11 = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_731,c_40567]) ).
cnf(c_41209,plain,
( sk_c11 != sP11_iProver_def
| ~ sP4_iProver_def
| sk_c11 = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_721,c_40567]) ).
cnf(c_41221,plain,
( sk_c11 != sP11_iProver_def
| ~ sP4_iProver_def
| sk_c11 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_691,c_40567]) ).
cnf(c_41223,plain,
( sk_c11 != sP8_iProver_def
| ~ sP4_iProver_def
| sk_c11 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_688,c_40567]) ).
cnf(c_41456,plain,
multiply(sP6_iProver_def,sP5_iProver_def) = sk_c9,
inference(demodulation,[status(thm)],[c_40069,c_38912]) ).
cnf(c_41605,plain,
( inverse(sk_c9) != sP8_iProver_def
| sP6_iProver_def != sP8_iProver_def
| sP6_iProver_def = inverse(sk_c9) ),
inference(instantiation,[status(thm)],[c_11961]) ).
cnf(c_41607,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_42187,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_42753,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_43524,plain,
( sP6_iProver_def != sP11_iProver_def
| sP8_iProver_def != sP11_iProver_def
| sP8_iProver_def = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_12126]) ).
cnf(c_43552,plain,
( inverse(sk_c6) != sP11_iProver_def
| sP6_iProver_def != sP11_iProver_def
| inverse(sk_c6) = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_12126]) ).
cnf(c_43589,plain,
( multiply(sP5_iProver_def,sP18_iProver_def) = sP19_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_40714,c_1718]) ).
cnf(c_43603,plain,
( multiply(sP5_iProver_def,sk_c10) = sP19_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_40714,c_678]) ).
cnf(c_43608,plain,
( sk_c11 = sP16_iProver_def
| sk_c3 = sP19_iProver_def ),
inference(light_normalisation,[status(thm)],[c_43589,c_13816]) ).
cnf(c_44924,plain,
( sP8_iProver_def != sP6_iProver_def
| sP9_iProver_def != sP6_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_13106]) ).
cnf(c_45143,plain,
( multiply(sk_c11,sP19_iProver_def) = sk_c10
| sk_c11 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_43603,c_39993]) ).
cnf(c_45371,plain,
( inverse(sk_c6) != sP6_iProver_def
| sP8_iProver_def != sP6_iProver_def
| inverse(sk_c6) = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_13107]) ).
cnf(c_45647,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_46096,plain,
( multiply(sP5_iProver_def,sP18_iProver_def) = sP19_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_40898,c_1606]) ).
cnf(c_46108,plain,
( multiply(sP5_iProver_def,sk_c10) = sP19_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_40898,c_678]) ).
cnf(c_46113,plain,
( sk_c11 = sP13_iProver_def
| sk_c3 = sP19_iProver_def ),
inference(light_normalisation,[status(thm)],[c_46096,c_13816]) ).
cnf(c_46627,plain,
( sP11_iProver_def != sP16_iProver_def
| ~ sP4_iProver_def
| sk_c11 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_696,c_41221]) ).
cnf(c_47091,plain,
( multiply(sk_c11,sP19_iProver_def) = sk_c10
| sk_c11 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_46108,c_39993]) ).
cnf(c_47360,plain,
( sk_c11 = sP16_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_43608,c_706]) ).
cnf(c_48050,plain,
( sk_c11 = sP7_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_687,c_688]) ).
cnf(c_48060,plain,
( sk_c11 = sP7_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_689,c_688]) ).
cnf(c_48061,plain,
( sk_c11 = sP7_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_689,c_687]) ).
cnf(c_48077,plain,
( sk_c11 = sP7_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_691,c_689]) ).
cnf(c_48078,plain,
( sk_c11 = sP7_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_691,c_688]) ).
cnf(c_48079,plain,
( sk_c11 = sP7_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_691,c_687]) ).
cnf(c_48322,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_48741,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_48743,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_48745,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_48747,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_48748,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_48940,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_50152,plain,
( sk_c10 = sP5_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_738,c_737]) ).
cnf(c_50246,plain,
( sk_c10 = sP5_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_739,c_738]) ).
cnf(c_50247,plain,
( sk_c10 = sP5_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_739,c_737]) ).
cnf(c_50353,plain,
( sk_c10 = sP5_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_741,c_739]) ).
cnf(c_50354,plain,
( sk_c10 = sP5_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_741,c_738]) ).
cnf(c_50355,plain,
( sk_c10 = sP5_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_741,c_737]) ).
cnf(c_50461,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_51162,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_680,c_5135,c_22955,c_23353,c_39642]) ).
cnf(c_51174,plain,
( sk_c11 = sP16_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_746,c_51162]) ).
cnf(c_51176,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_51162]) ).
cnf(c_51348,plain,
( inverse(sk_c8) != sk_c10
| sk_c10 != sP9_iProver_def
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_668,c_682]) ).
cnf(c_51349,plain,
( inverse(sk_c9) != sk_c10
| sk_c10 != sP6_iProver_def
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_665,c_682]) ).
cnf(c_51351,plain,
( inverse(identity) != sk_c10
| sk_c11 != sk_c10
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_110,c_682]) ).
cnf(c_51352,plain,
( inverse(inverse(sk_c11)) != sk_c10
| sk_c10 != identity
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_111,c_682]) ).
cnf(c_51382,plain,
( sk_c10 != sP6_iProver_def
| sk_c10 != sP8_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_51349,c_667]) ).
cnf(c_51389,plain,
( inverse(sP5_iProver_def) != sk_c10
| sk_c10 != identity
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_51352,c_664]) ).
cnf(c_51510,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_51511,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_51539,plain,
( multiply(sk_c11,sP17_iProver_def) != sk_c10
| sk_c11 != sP7_iProver_def
| ~ sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_51511,c_666]) ).
cnf(c_51543,plain,
( multiply(sk_c11,sP6_iProver_def) != sk_c10
| sk_c11 != sP8_iProver_def
| ~ sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_51510,c_667]) ).
cnf(c_51648,plain,
( multiply(sk_c10,inverse(sk_c10)) != sk_c11
| sk_c11 != identity
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_111,c_683]) ).
cnf(c_51916,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_111,c_112]) ).
cnf(c_52486,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_52491,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_52514,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_52491,c_669]) ).
cnf(c_52583,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_48050,c_682]) ).
cnf(c_52688,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_48060,c_682]) ).
cnf(c_52796,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_48061,c_682]) ).
cnf(c_52898,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_48077,c_682]) ).
cnf(c_53042,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_48078,c_682]) ).
cnf(c_53653,plain,
( sk_c11 = sP13_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_46113,c_703]) ).
cnf(c_53801,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_48079,c_682]) ).
cnf(c_54721,plain,
( sP13_iProver_def = sP16_iProver_def
| sP17_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_53653,c_47360]) ).
cnf(c_56572,plain,
( sP6_iProver_def = sP8_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_50152,c_51162]) ).
cnf(c_57317,plain,
( multiply(identity,sP5_iProver_def) != sP5_iProver_def
| sP5_iProver_def != sP5_iProver_def
| sP5_iProver_def = multiply(identity,sP5_iProver_def) ),
inference(instantiation,[status(thm)],[c_3704]) ).
cnf(c_57318,plain,
( multiply(identity,sP5_iProver_def) != sP5_iProver_def
| sk_c10 != sP5_iProver_def
| sk_c10 = multiply(identity,sP5_iProver_def) ),
inference(instantiation,[status(thm)],[c_4891]) ).
cnf(c_57388,plain,
( inverse(X0) != inverse(sk_c6)
| sk_c11 != inverse(sk_c6)
| inverse(X0) = sk_c11 ),
inference(instantiation,[status(thm)],[c_2614]) ).
cnf(c_57438,plain,
( sP8_iProver_def = sP9_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_50246,c_51162]) ).
cnf(c_58186,plain,
( sP6_iProver_def = sP9_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_50247,c_51162]) ).
cnf(c_58779,plain,
( sP5_iProver_def != sP6_iProver_def
| sP11_iProver_def != sP6_iProver_def
| sP5_iProver_def = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_1670]) ).
cnf(c_59198,plain,
( sP5_iProver_def != sP11_iProver_def
| sP6_iProver_def != sP11_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_1631]) ).
cnf(c_59202,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_59205,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_61955,plain,
multiply(sk_c4,sP15_iProver_def) = identity,
inference(superposition,[status(thm)],[c_35809,c_111]) ).
cnf(c_61974,plain,
( sk_c10 = sP5_iProver_def
| identity = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_4391,c_61955]) ).
cnf(c_61975,plain,
( sk_c11 = sP20_iProver_def
| identity = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_3169,c_61955]) ).
cnf(c_61976,plain,
( sk_c11 = sP19_iProver_def
| identity = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_2301,c_61955]) ).
cnf(c_61977,plain,
( sk_c10 = sP18_iProver_def
| identity = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_1685,c_61955]) ).
cnf(c_61978,plain,
( sk_c3 = sP17_iProver_def
| identity = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_1361,c_61955]) ).
cnf(c_61979,plain,
( sk_c11 = sP7_iProver_def
| identity = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_1282,c_61955]) ).
cnf(c_62468,plain,
( inverse(sP20_iProver_def) = sP5_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_61975,c_664]) ).
cnf(c_62986,plain,
( multiply(X0,sP19_iProver_def) != sk_c10
| inverse(X0) != sk_c10
| ~ sP3_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_61976,c_682]) ).
cnf(c_62992,plain,
( multiply(sP19_iProver_def,sk_c3) = sP18_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_61976,c_677]) ).
cnf(c_63125,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_62986]) ).
cnf(c_63299,plain,
( identity = sP16_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_61977,c_61974]) ).
cnf(c_63305,plain,
( sk_c11 != sP18_iProver_def
| ~ sP4_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_61977,c_40567]) ).
cnf(c_63365,plain,
( multiply(sk_c1,sP18_iProver_def) = sP19_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_61977,c_678]) ).
cnf(c_63696,plain,
( multiply(sk_c11,sP17_iProver_def) = sP18_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_61978,c_677]) ).
cnf(c_64181,plain,
( identity != sk_c10
| sP11_iProver_def != sk_c10
| identity = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_2606]) ).
cnf(c_64748,plain,
multiply(sk_c6,identity) = inverse(sP13_iProver_def),
inference(superposition,[status(thm)],[c_35810,c_38912]) ).
cnf(c_64783,plain,
inverse(sP13_iProver_def) = sk_c6,
inference(demodulation,[status(thm)],[c_64748,c_38912]) ).
cnf(c_64797,plain,
( multiply(sP13_iProver_def,inverse(sP13_iProver_def)) != sk_c11
| multiply(sk_c6,sk_c10) != sk_c11
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_64783,c_683]) ).
cnf(c_64799,plain,
( sk_c11 != identity
| sk_c11 != sP12_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_64797,c_671,c_1338,c_64783]) ).
cnf(c_66299,plain,
( sP9_iProver_def = sP11_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_50353,c_51162]) ).
cnf(c_66829,plain,
( sk_c10 != sP11_iProver_def
| identity != sP11_iProver_def
| identity = sk_c10 ),
inference(instantiation,[status(thm)],[c_1587]) ).
cnf(c_66831,plain,
( X0 != sk_c10
| identity != sk_c10
| X0 = identity ),
inference(instantiation,[status(thm)],[c_2571]) ).
cnf(c_66832,plain,
( sk_c11 != sk_c10
| identity != sk_c10
| sk_c11 = identity ),
inference(instantiation,[status(thm)],[c_66831]) ).
cnf(c_68182,plain,
( X0 != sP11_iProver_def
| identity != sP11_iProver_def
| identity = X0 ),
inference(instantiation,[status(thm)],[c_4521]) ).
cnf(c_68183,plain,
( X0 != sP11_iProver_def
| identity != sP11_iProver_def
| X0 = identity ),
inference(instantiation,[status(thm)],[c_2571]) ).
cnf(c_68184,plain,
( sk_c11 != sP11_iProver_def
| identity != sP11_iProver_def
| sk_c11 = identity ),
inference(instantiation,[status(thm)],[c_68183]) ).
cnf(c_68185,plain,
( sk_c11 != sP11_iProver_def
| identity != sP11_iProver_def
| identity = sk_c11 ),
inference(instantiation,[status(thm)],[c_68182]) ).
cnf(c_68238,plain,
( sP8_iProver_def = sP11_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_50354,c_51162]) ).
cnf(c_70093,plain,
( sP6_iProver_def = sP11_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(superposition,[status(thm)],[c_50355,c_51162]) ).
cnf(c_71004,plain,
multiply(sk_c7,sP10_iProver_def) = identity,
inference(superposition,[status(thm)],[c_35811,c_111]) ).
cnf(c_71010,plain,
multiply(sk_c7,identity) = inverse(sP10_iProver_def),
inference(superposition,[status(thm)],[c_35811,c_38912]) ).
cnf(c_71023,plain,
( sk_c10 = sP5_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_3724,c_71004]) ).
cnf(c_71024,plain,
( sk_c11 = sP20_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_2725,c_71004]) ).
cnf(c_71025,plain,
( sk_c11 = sP19_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_2025,c_71004]) ).
cnf(c_71026,plain,
( sk_c10 = sP18_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_1500,c_71004]) ).
cnf(c_71027,plain,
( sk_c11 = sP7_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_1250,c_71004]) ).
cnf(c_71028,plain,
( sk_c3 = sP17_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_1249,c_71004]) ).
cnf(c_74146,plain,
( inverse(sP20_iProver_def) = sP5_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_71024,c_664]) ).
cnf(c_74426,plain,
( inverse(sk_c9) != inverse(sk_c6)
| sk_c11 != inverse(sk_c6)
| inverse(sk_c9) = sk_c11 ),
inference(instantiation,[status(thm)],[c_57388]) ).
cnf(c_75099,plain,
( multiply(sP19_iProver_def,sk_c3) = sP18_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_71025,c_677]) ).
cnf(c_75228,plain,
inverse(sP10_iProver_def) = sk_c7,
inference(demodulation,[status(thm)],[c_71010,c_38912]) ).
cnf(c_75537,plain,
( identity = sP11_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_71026,c_71023]) ).
cnf(c_75604,plain,
( multiply(sk_c1,sP18_iProver_def) = sP19_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_71026,c_678]) ).
cnf(c_75829,plain,
( multiply(sP7_iProver_def,sP17_iProver_def) = sP18_iProver_def
| sk_c10 = sP8_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_71027,c_1304]) ).
cnf(c_75867,plain,
( multiply(sP7_iProver_def,sk_c3) = sP18_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_71027,c_677]) ).
cnf(c_75934,plain,
( sk_c11 = sP18_iProver_def
| sk_c10 = sP8_iProver_def
| identity = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_75829,c_13390]) ).
cnf(c_76918,plain,
( X0 != sk_c10
| sP18_iProver_def != sk_c10
| X0 = sP18_iProver_def ),
inference(instantiation,[status(thm)],[c_5764]) ).
cnf(c_77123,plain,
( identity != sk_c10
| sP5_iProver_def != sk_c10
| sP5_iProver_def = identity ),
inference(instantiation,[status(thm)],[c_4812]) ).
cnf(c_80886,plain,
( identity != sk_c10
| sP18_iProver_def != sk_c10
| identity = sP18_iProver_def ),
inference(instantiation,[status(thm)],[c_76918]) ).
cnf(c_82472,plain,
( sP5_iProver_def = sP18_iProver_def
| sP11_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_75537,c_63299]) ).
cnf(c_83985,plain,
( sP2_iProver_def
| sP1_iProver_def
| sk_c11 = sP16_iProver_def
| sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_51174,c_664,c_680,c_4437,c_4881,c_4991,c_5135,c_10530,c_20290,c_22955,c_23353,c_25283,c_39642,c_45143]) ).
cnf(c_83986,plain,
( sk_c11 = sP16_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP4_iProver_def ),
inference(renaming,[status(thm)],[c_83985]) ).
cnf(c_84074,plain,
( sP2_iProver_def
| sP1_iProver_def
| sk_c11 = sP13_iProver_def
| sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_51176,c_664,c_680,c_4093,c_4881,c_4989,c_5135,c_10530,c_19740,c_22955,c_23353,c_25127,c_39642,c_47091]) ).
cnf(c_84075,plain,
( sk_c11 = sP13_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP4_iProver_def ),
inference(renaming,[status(thm)],[c_84074]) ).
cnf(c_84094,plain,
( sP3_iProver_def
| sP2_iProver_def
| sP1_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_56572,c_1910,c_1911,c_1917,c_1918,c_6385,c_12360,c_13780,c_16547,c_17019,c_33767,c_41196]) ).
cnf(c_84095,plain,
( sP6_iProver_def = sP8_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(renaming,[status(thm)],[c_84094]) ).
cnf(c_84104,plain,
( sP3_iProver_def
| sP2_iProver_def
| sP1_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_57438,c_1903,c_1904,c_1910,c_1911,c_1917,c_1918,c_6221,c_6385,c_11958,c_11967,c_12360,c_13780,c_13792,c_16219,c_16547,c_17027,c_17019,c_33555,c_33767,c_41196,c_41195,c_44924]) ).
cnf(c_84105,plain,
( sP8_iProver_def = sP9_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(renaming,[status(thm)],[c_84104]) ).
cnf(c_84114,plain,
( sP3_iProver_def
| sP2_iProver_def
| sP1_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_58186,c_1904,c_1910,c_1911,c_1917,c_1918,c_6385,c_12114,c_12360,c_13780,c_16547,c_17019,c_33767,c_41196,c_41607,c_84105]) ).
cnf(c_84115,plain,
( sP6_iProver_def = sP9_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(renaming,[status(thm)],[c_84114]) ).
cnf(c_84124,plain,
( sP3_iProver_def
| sP2_iProver_def
| sP1_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_66299,c_1827,c_1828,c_1903,c_1904,c_6492,c_11967,c_12122,c_12360,c_14280,c_15922,c_16235,c_33267,c_41193,c_45647,c_84115]) ).
cnf(c_84125,plain,
( sP9_iProver_def = sP11_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(renaming,[status(thm)],[c_84124]) ).
cnf(c_85096,plain,
( sP3_iProver_def
| sP2_iProver_def
| sP1_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_68238,c_1828,c_12342,c_42753,c_84105,c_84125]) ).
cnf(c_85097,plain,
( sP8_iProver_def = sP11_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(renaming,[status(thm)],[c_85096]) ).
cnf(c_85106,plain,
( sP3_iProver_def
| sP2_iProver_def
| sP1_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_70093,c_1828,c_12342,c_42187,c_84115,c_84125]) ).
cnf(c_85107,plain,
( sP6_iProver_def = sP11_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(renaming,[status(thm)],[c_85106]) ).
cnf(c_85867,plain,
( sk_c11 != inverse(sk_c2)
| sP5_iProver_def != inverse(sk_c2)
| sk_c11 = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_5482]) ).
cnf(c_86150,plain,
( X0 != X1
| sk_c10 != X1
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_86151,plain,
( X0 != sk_c10
| sk_c10 != sk_c10
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_86150]) ).
cnf(c_86159,plain,
( X0 != X1
| sk_c10 != X1
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_86171,plain,
( X0 != sP11_iProver_def
| sk_c10 != sP11_iProver_def
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_86150]) ).
cnf(c_86179,plain,
( X0 != sP9_iProver_def
| sk_c10 != sP9_iProver_def
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_86159]) ).
cnf(c_86194,plain,
( X0 != X1
| sP8_iProver_def != X1
| X0 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_86201,plain,
( X0 != X1
| sP9_iProver_def != X1
| X0 = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_86208,plain,
( X0 != X1
| sP11_iProver_def != X1
| X0 = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_86335,plain,
( X0 != X1
| sP8_iProver_def != X1
| sP8_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_86339,plain,
( X0 != X1
| sP9_iProver_def != X1
| sP9_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_86343,plain,
( X0 != X1
| sP11_iProver_def != X1
| sP11_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_86378,plain,
( X0 != X1
| identity != X1
| X0 = identity ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_86670,plain,
( X0 != sP11_iProver_def
| sP11_iProver_def != sP11_iProver_def
| sP11_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_86343]) ).
cnf(c_86806,plain,
( X0 != sP11_iProver_def
| sP8_iProver_def != sP11_iProver_def
| sP8_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_86335]) ).
cnf(c_86810,plain,
( X0 != sP11_iProver_def
| sP9_iProver_def != sP11_iProver_def
| sP9_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_86339]) ).
cnf(c_97063,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_86179]) ).
cnf(c_97066,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_97063]) ).
cnf(c_100279,plain,
( sP7_iProver_def = sP19_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_7617,c_7615]) ).
cnf(c_103396,plain,
( multiply(X0,inverse(X0)) != X1
| sk_c10 != X1
| multiply(X0,inverse(X0)) = sk_c10 ),
inference(instantiation,[status(thm)],[c_86159]) ).
cnf(c_104407,plain,
( multiply(sP7_iProver_def,sP17_iProver_def) = sP18_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_61979,c_63696]) ).
cnf(c_104479,plain,
( sk_c11 = sP18_iProver_def
| identity = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_104407,c_13390]) ).
cnf(c_105241,plain,
( sP7_iProver_def = sP17_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_100279,c_54721]) ).
cnf(c_107581,plain,
( identity = sP16_iProver_def
| sP7_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_104479,c_61979]) ).
cnf(c_107695,plain,
( multiply(sP5_iProver_def,sP18_iProver_def) = identity
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_104479,c_1336]) ).
cnf(c_107724,plain,
( sk_c3 = identity
| identity = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_107695,c_13816]) ).
cnf(c_111736,plain,
multiply(sk_c9,identity) = inverse(sP8_iProver_def),
inference(superposition,[status(thm)],[c_35812,c_38912]) ).
cnf(c_111885,plain,
inverse(sP8_iProver_def) = sk_c9,
inference(demodulation,[status(thm)],[c_111736,c_38912]) ).
cnf(c_111888,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_111885,c_685]) ).
cnf(c_111891,plain,
( sk_c10 != identity
| sk_c10 != sP6_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_111888,c_1340,c_35819]) ).
cnf(c_112894,plain,
multiply(sk_c1,identity) = inverse(sP20_iProver_def),
inference(superposition,[status(thm)],[c_35813,c_38912]) ).
cnf(c_115053,plain,
inverse(sP20_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_112894,c_38912]) ).
cnf(c_115055,plain,
( sk_c1 = sP5_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_74146,c_115053]) ).
cnf(c_115056,plain,
( sk_c1 = sP5_iProver_def
| identity = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_62468,c_115053]) ).
cnf(c_115059,plain,
( sk_c1 = sP5_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_9159,c_115053]) ).
cnf(c_115061,plain,
( sk_c1 = sP5_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(demodulation,[status(thm)],[c_8853,c_115053]) ).
cnf(c_115062,plain,
( sk_c1 = sP5_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(demodulation,[status(thm)],[c_8701,c_115053]) ).
cnf(c_115111,plain,
( multiply(sP20_iProver_def,inverse(sP20_iProver_def)) != sk_c11
| multiply(sk_c1,sk_c10) != sk_c11
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_115053,c_683]) ).
cnf(c_115165,plain,
( sk_c11 != identity
| sk_c11 != sP19_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_115111,c_678,c_1341,c_115053]) ).
cnf(c_116024,plain,
( multiply(sP5_iProver_def,sP18_iProver_def) = sP19_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_115055,c_75604]) ).
cnf(c_116081,plain,
( sk_c3 = sP19_iProver_def
| identity = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_116024,c_13816]) ).
cnf(c_116104,plain,
( multiply(sP5_iProver_def,sP18_iProver_def) = sP19_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_115056,c_63365]) ).
cnf(c_116150,plain,
( multiply(sP5_iProver_def,sk_c10) = sP19_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_115056,c_678]) ).
cnf(c_116157,plain,
( sk_c3 = sP19_iProver_def
| identity = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_116104,c_13816]) ).
cnf(c_116193,plain,
( multiply(inverse(identity),sk_c11) != sk_c10
| multiply(identity,inverse(identity)) != sk_c10
| ~ sP1_iProver_def ),
inference(instantiation,[status(thm)],[c_685]) ).
cnf(c_116481,plain,
( multiply(sP7_iProver_def,sP17_iProver_def) = sP18_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_71028,c_75867]) ).
cnf(c_116505,plain,
( sk_c11 = sP18_iProver_def
| identity = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_116481,c_13390]) ).
cnf(c_116625,plain,
( multiply(sP5_iProver_def,sk_c10) = sP19_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_115059,c_678]) ).
cnf(c_116809,plain,
( multiply(sP5_iProver_def,sk_c10) = sP19_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_115061,c_678]) ).
cnf(c_116898,plain,
( multiply(sP5_iProver_def,sk_c10) = sP19_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_115062,c_678]) ).
cnf(c_117498,plain,
( identity = sP16_iProver_def
| identity = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_116157,c_107724]) ).
cnf(c_117669,plain,
( identity = sP11_iProver_def
| sP7_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_116505,c_71027]) ).
cnf(c_117786,plain,
( multiply(sP5_iProver_def,sP18_iProver_def) = identity
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_116505,c_1336]) ).
cnf(c_117815,plain,
( sk_c3 = identity
| identity = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_117786,c_13816]) ).
cnf(c_118828,plain,
( multiply(sP19_iProver_def,X0) = X0
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_117498,c_110]) ).
cnf(c_118952,plain,
( sP7_iProver_def = sP18_iProver_def
| sP11_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_117669,c_107581]) ).
cnf(c_119808,plain,
( identity = sP11_iProver_def
| identity = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_117815,c_116081]) ).
cnf(c_120479,plain,
( X0 != identity
| sk_c10 != identity
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_86150]) ).
cnf(c_120777,plain,
( sP5_iProver_def = sP7_iProver_def
| sP11_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_118952,c_82472]) ).
cnf(c_123180,plain,
( multiply(sP19_iProver_def,X0) = X0
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_119808,c_110]) ).
cnf(c_123279,plain,
( sk_c10 != sP11_iProver_def
| identity != sP11_iProver_def
| sk_c10 = identity ),
inference(instantiation,[status(thm)],[c_86171]) ).
cnf(c_123678,plain,
( multiply(sk_c11,sP19_iProver_def) = sk_c10
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_116150,c_39993]) ).
cnf(c_124840,plain,
( X0 != sP11_iProver_def
| identity != sP11_iProver_def
| X0 = identity ),
inference(instantiation,[status(thm)],[c_86378]) ).
cnf(c_125630,plain,
( identity != sP11_iProver_def
| sP8_iProver_def != sP11_iProver_def
| sP8_iProver_def = identity ),
inference(instantiation,[status(thm)],[c_86806]) ).
cnf(c_125746,plain,
( multiply(sk_c11,sP19_iProver_def) = sk_c10
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_116625,c_39993]) ).
cnf(c_125967,plain,
( multiply(sk_c11,sP19_iProver_def) = sk_c10
| sP8_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_116809,c_39993]) ).
cnf(c_126082,plain,
( multiply(sk_c11,sP19_iProver_def) = sk_c10
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_116898,c_39993]) ).
cnf(c_126356,plain,
multiply(sk_c2,sP7_iProver_def) = identity,
inference(superposition,[status(thm)],[c_35814,c_111]) ).
cnf(c_126362,plain,
multiply(sk_c2,identity) = inverse(sP7_iProver_def),
inference(superposition,[status(thm)],[c_35814,c_38912]) ).
cnf(c_126408,plain,
( identity = sP17_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_7621,c_126356]) ).
cnf(c_126692,plain,
inverse(sP7_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_126362,c_38912]) ).
cnf(c_126697,plain,
( sk_c2 = sP5_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_7625,c_126692]) ).
cnf(c_126880,plain,
( inverse(sP17_iProver_def) = sP17_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_126408,c_38952]) ).
cnf(c_126963,plain,
( identity != sP11_iProver_def
| sP9_iProver_def != sP11_iProver_def
| sP9_iProver_def = identity ),
inference(instantiation,[status(thm)],[c_86810]) ).
cnf(c_128409,plain,
( multiply(identity,inverse(identity)) != inverse(identity)
| sk_c10 != inverse(identity)
| multiply(identity,inverse(identity)) = sk_c10 ),
inference(instantiation,[status(thm)],[c_103396]) ).
cnf(c_128410,plain,
multiply(identity,inverse(identity)) = inverse(identity),
inference(instantiation,[status(thm)],[c_110]) ).
cnf(c_134096,plain,
( sk_c3 = sP18_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_118828,c_62992]) ).
cnf(c_136409,plain,
( identity = sP16_iProver_def
| identity = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_134096,c_107724]) ).
cnf(c_136738,plain,
( sk_c3 = sP18_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_123180,c_75099]) ).
cnf(c_138575,plain,
( identity = sP11_iProver_def
| identity = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_136738,c_117815]) ).
cnf(c_148082,plain,
( sP5_iProver_def != X0
| sP11_iProver_def != X0
| sP5_iProver_def = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_86208]) ).
cnf(c_149538,plain,
( sk_c10 != sk_c10
| identity != sk_c10
| sk_c10 = identity ),
inference(instantiation,[status(thm)],[c_86151]) ).
cnf(c_156320,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_51916,c_110]) ).
cnf(c_156381,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_110,c_156320]) ).
cnf(c_156382,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_111,c_156320]) ).
cnf(c_156760,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_156320,c_156320]) ).
cnf(c_161903,plain,
( X0 != identity
| sP8_iProver_def != identity
| X0 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_86194]) ).
cnf(c_161904,plain,
( sk_c11 != identity
| sP8_iProver_def != identity
| sk_c11 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_161903]) ).
cnf(c_162200,plain,
( X0 != identity
| sP9_iProver_def != identity
| X0 = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_86201]) ).
cnf(c_162201,plain,
( sk_c11 != identity
| sP9_iProver_def != identity
| sk_c11 = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_162200]) ).
cnf(c_166881,plain,
( identity != sP11_iProver_def
| sP11_iProver_def != sP11_iProver_def
| sP11_iProver_def = identity ),
inference(instantiation,[status(thm)],[c_86670]) ).
cnf(c_167171,plain,
( sk_c10 != identity
| sP8_iProver_def != identity
| sk_c10 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_120479]) ).
cnf(c_169740,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_156382,c_156760]) ).
cnf(c_169764,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_169740,c_156381]) ).
cnf(c_173786,plain,
( sk_c10 = sP8_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_50461,c_33493]) ).
cnf(c_176689,plain,
( sk_c10 != sP8_iProver_def
| ~ sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_51382,c_664,c_4928,c_7986,c_10530,c_11960,c_24118,c_39276,c_126082]) ).
cnf(c_176696,plain,
( ~ sP3_iProver_def
| sP5_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_173786,c_176689]) ).
cnf(c_176707,plain,
( sP5_iProver_def != sP8_iProver_def
| ~ sP3_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_746,c_176689]) ).
cnf(c_176709,plain,
( sP5_iProver_def != sP8_iProver_def
| ~ sP3_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_743,c_176689]) ).
cnf(c_177620,plain,
( ~ sP3_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_176707,c_664,c_4991,c_10530,c_24118,c_39276,c_45143]) ).
cnf(c_178904,plain,
( ~ sP3_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_176709,c_664,c_4989,c_10530,c_24118,c_39276,c_47091]) ).
cnf(c_181163,plain,
( sP5_iProver_def != identity
| sP11_iProver_def != identity
| sP5_iProver_def = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_148082]) ).
cnf(c_190243,plain,
( inverse(sP7_iProver_def) = sP7_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_105241,c_126880]) ).
cnf(c_190253,plain,
( sk_c2 = sP7_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_190243,c_126692]) ).
cnf(c_190974,plain,
( sP5_iProver_def = sP7_iProver_def
| sP13_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_190253,c_126697]) ).
cnf(c_194782,plain,
( sP5_iProver_def = sP7_iProver_def
| sP11_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_190974,c_120777]) ).
cnf(c_195373,plain,
( sk_c10 != sP9_iProver_def
| ~ sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_51348,c_664,c_4928,c_7986,c_8102,c_10530,c_11960,c_12116,c_24118,c_39276,c_125967,c_126082]) ).
cnf(c_195449,plain,
( sk_c11 != sk_c10
| sk_c10 != identity
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_51351,c_169764]) ).
cnf(c_195490,plain,
( sk_c11 != sP18_iProver_def
| sk_c10 != identity
| ~ sP3_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_708,c_195449]) ).
cnf(c_195976,plain,
( sk_c10 != identity
| ~ sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_51389,c_16563,c_75934,c_125630,c_167171,c_176689,c_195490]) ).
cnf(c_196014,plain,
( identity != sP18_iProver_def
| ~ sP3_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_711,c_195976]) ).
cnf(c_196016,plain,
( identity != sP18_iProver_def
| ~ sP3_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_708,c_195976]) ).
cnf(c_196198,plain,
( inverse(identity) != identity
| sk_c10 != identity
| sk_c10 = inverse(identity) ),
inference(instantiation,[status(thm)],[c_120479]) ).
cnf(c_196250,plain,
( identity != sP11_iProver_def
| sP5_iProver_def != sP11_iProver_def
| sP5_iProver_def = identity ),
inference(instantiation,[status(thm)],[c_124840]) ).
cnf(c_197989,plain,
( sk_c11 != sP7_iProver_def
| sk_c10 != sP18_iProver_def
| ~ sP4_iProver_def
| sk_c10 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_48748,c_51539]) ).
cnf(c_197990,plain,
( sk_c11 != sP7_iProver_def
| sk_c10 != sP18_iProver_def
| ~ sP4_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_48747,c_51539]) ).
cnf(c_197992,plain,
( sk_c11 != sP7_iProver_def
| sk_c10 != sP18_iProver_def
| ~ sP4_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_48745,c_51539]) ).
cnf(c_197994,plain,
( sk_c11 != sP7_iProver_def
| sk_c10 != sP18_iProver_def
| ~ sP4_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_48743,c_51539]) ).
cnf(c_197996,plain,
( sk_c11 != sP7_iProver_def
| sk_c10 != sP18_iProver_def
| ~ sP4_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_48741,c_51539]) ).
cnf(c_203686,plain,
( ~ sP3_iProver_def
| identity != sP18_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_196014,c_176689,c_196016]) ).
cnf(c_203687,plain,
( identity != sP18_iProver_def
| ~ sP3_iProver_def ),
inference(renaming,[status(thm)],[c_203686]) ).
cnf(c_203702,plain,
( sk_c11 != sP8_iProver_def
| ~ sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_51543,c_1592,c_18239,c_40567,c_41223,c_197990]) ).
cnf(c_203736,plain,
( sP8_iProver_def != sP20_iProver_def
| ~ sP4_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_736,c_203702]) ).
cnf(c_203738,plain,
( sP8_iProver_def != sP20_iProver_def
| ~ sP4_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_733,c_203702]) ).
cnf(c_216869,plain,
( X0 != X1
| sP5_iProver_def != X1
| sP5_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_216870,plain,
( sk_c10 != X0
| sP5_iProver_def != X0
| sk_c10 = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_216882,plain,
( X0 != X1
| sP5_iProver_def != X1
| X0 = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_216885,plain,
( sk_c10 != multiply(identity,sP5_iProver_def)
| sP5_iProver_def != multiply(identity,sP5_iProver_def)
| sk_c10 = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_216870]) ).
cnf(c_216887,plain,
( X0 != multiply(identity,sP5_iProver_def)
| sP5_iProver_def != multiply(identity,sP5_iProver_def)
| sP5_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_216869]) ).
cnf(c_216897,plain,
( X0 != inverse(sk_c11)
| sP5_iProver_def != inverse(sk_c11)
| X0 = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_216882]) ).
cnf(c_216899,plain,
( multiply(identity,sP5_iProver_def) != X0
| sk_c10 != X0
| sk_c10 = multiply(identity,sP5_iProver_def) ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_216904,plain,
( multiply(identity,sP5_iProver_def) != X0
| X1 != X0
| X1 = multiply(identity,sP5_iProver_def) ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_216914,plain,
( inverse(sk_c11) != X0
| X1 != X0
| X1 = inverse(sk_c11) ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_216938,plain,
( multiply(identity,sP5_iProver_def) != multiply(X0,X1)
| sk_c10 != multiply(X0,X1)
| sk_c10 = multiply(identity,sP5_iProver_def) ),
inference(instantiation,[status(thm)],[c_216899]) ).
cnf(c_216939,plain,
( identity != X0
| sP5_iProver_def != X1
| multiply(identity,sP5_iProver_def) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_750]) ).
cnf(c_216962,plain,
( multiply(identity,inverse(sk_c11)) != inverse(sk_c11)
| sP5_iProver_def != inverse(sk_c11)
| multiply(identity,inverse(sk_c11)) = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_216897]) ).
cnf(c_217001,plain,
( inverse(sk_c11) != sP5_iProver_def
| X0 != sP5_iProver_def
| X0 = inverse(sk_c11) ),
inference(instantiation,[status(thm)],[c_216914]) ).
cnf(c_217023,plain,
( multiply(identity,inverse(sk_c11)) != X0
| X1 != X0
| X1 = multiply(identity,inverse(sk_c11)) ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_217041,plain,
( inverse(X0) != X1
| X2 != X1
| X2 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_217085,plain,
( identity != X0
| sP5_iProver_def != sP5_iProver_def
| multiply(identity,sP5_iProver_def) = multiply(X0,sP5_iProver_def) ),
inference(instantiation,[status(thm)],[c_216939]) ).
cnf(c_217086,plain,
( identity != sk_c11
| sP5_iProver_def != sP5_iProver_def
| multiply(identity,sP5_iProver_def) = multiply(sk_c11,sP5_iProver_def) ),
inference(instantiation,[status(thm)],[c_217085]) ).
cnf(c_217104,plain,
( X0 != X1
| sk_c10 != X1
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_217148,plain,
( X0 != X1
| identity != X1
| X0 = identity ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_217152,plain,
( identity != multiply(identity,sP5_iProver_def)
| sP5_iProver_def != multiply(identity,sP5_iProver_def)
| sP5_iProver_def = identity ),
inference(instantiation,[status(thm)],[c_216887]) ).
cnf(c_217170,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_217172,plain,
( identity != X0
| sP5_iProver_def != X0
| identity = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_216882]) ).
cnf(c_217176,plain,
( multiply(identity,sP5_iProver_def) != X0
| identity != X0
| identity = multiply(identity,sP5_iProver_def) ),
inference(instantiation,[status(thm)],[c_216904]) ).
cnf(c_217548,plain,
( ~ sP4_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_203736,c_14351,c_20290,c_197996]) ).
cnf(c_217554,plain,
( sk_c11 = sP16_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_83986,c_217548]) ).
cnf(c_217814,plain,
( multiply(identity,inverse(sk_c11)) != X0
| X1 != X0
| multiply(identity,inverse(sk_c11)) = X1 ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_217823,plain,
( multiply(identity,inverse(sk_c11)) != sP5_iProver_def
| X0 != sP5_iProver_def
| X0 = multiply(identity,inverse(sk_c11)) ),
inference(instantiation,[status(thm)],[c_217023]) ).
cnf(c_217824,plain,
( multiply(identity,inverse(sk_c11)) != sP5_iProver_def
| sk_c11 != sP5_iProver_def
| sk_c11 = multiply(identity,inverse(sk_c11)) ),
inference(instantiation,[status(thm)],[c_217823]) ).
cnf(c_217867,plain,
( inverse(sk_c2) != sP7_iProver_def
| X0 != sP7_iProver_def
| X0 = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_217041]) ).
cnf(c_218046,plain,
( identity != identity
| sP5_iProver_def != identity
| identity = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_217172]) ).
cnf(c_218109,plain,
( X0 != identity
| identity != identity
| identity = X0 ),
inference(instantiation,[status(thm)],[c_217170]) ).
cnf(c_218160,plain,
( X0 != X1
| sk_c10 != X1
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_218653,plain,
( multiply(identity,inverse(sk_c11)) != sP5_iProver_def
| X0 != sP5_iProver_def
| multiply(identity,inverse(sk_c11)) = X0 ),
inference(instantiation,[status(thm)],[c_217814]) ).
cnf(c_219335,plain,
( X0 != sP11_iProver_def
| sk_c10 != sP11_iProver_def
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_217104]) ).
cnf(c_222983,plain,
( multiply(identity,inverse(sk_c11)) != sk_c10
| X0 != sk_c10
| X0 = multiply(identity,inverse(sk_c11)) ),
inference(instantiation,[status(thm)],[c_217023]) ).
cnf(c_223201,plain,
( multiply(identity,sP5_iProver_def) != multiply(X0,sP5_iProver_def)
| sk_c10 != multiply(X0,sP5_iProver_def)
| sk_c10 = multiply(identity,sP5_iProver_def) ),
inference(instantiation,[status(thm)],[c_216938]) ).
cnf(c_223202,plain,
( multiply(identity,sP5_iProver_def) != multiply(sk_c11,sP5_iProver_def)
| sk_c10 != multiply(sk_c11,sP5_iProver_def)
| sk_c10 = multiply(identity,sP5_iProver_def) ),
inference(instantiation,[status(thm)],[c_223201]) ).
cnf(c_223754,plain,
( multiply(identity,inverse(sk_c11)) != X0
| identity != X0
| multiply(identity,inverse(sk_c11)) = identity ),
inference(instantiation,[status(thm)],[c_217148]) ).
cnf(c_225839,plain,
( multiply(identity,sP5_iProver_def) != multiply(X0,sP5_iProver_def)
| identity != multiply(X0,sP5_iProver_def)
| identity = multiply(identity,sP5_iProver_def) ),
inference(instantiation,[status(thm)],[c_217176]) ).
cnf(c_225840,plain,
( multiply(identity,sP5_iProver_def) != multiply(sk_c11,sP5_iProver_def)
| identity != multiply(sk_c11,sP5_iProver_def)
| identity = multiply(identity,sP5_iProver_def) ),
inference(instantiation,[status(thm)],[c_225839]) ).
cnf(c_226314,plain,
( multiply(X0,sP5_iProver_def) != sP11_iProver_def
| sk_c10 != sP11_iProver_def
| sk_c10 = multiply(X0,sP5_iProver_def) ),
inference(instantiation,[status(thm)],[c_219335]) ).
cnf(c_226325,plain,
( multiply(sk_c11,sP5_iProver_def) != sP11_iProver_def
| sk_c10 != sP11_iProver_def
| sk_c10 = multiply(sk_c11,sP5_iProver_def) ),
inference(instantiation,[status(thm)],[c_226314]) ).
cnf(c_228069,plain,
( multiply(identity,inverse(sk_c11)) != identity
| identity != identity
| identity = multiply(identity,inverse(sk_c11)) ),
inference(instantiation,[status(thm)],[c_218109]) ).
cnf(c_228203,plain,
( inverse(sk_c2) != sP7_iProver_def
| sP5_iProver_def != sP7_iProver_def
| sP5_iProver_def = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_217867]) ).
cnf(c_228924,plain,
( multiply(identity,inverse(sk_c11)) != sP5_iProver_def
| identity != sP5_iProver_def
| multiply(identity,inverse(sk_c11)) = identity ),
inference(instantiation,[status(thm)],[c_223754]) ).
cnf(c_228955,plain,
( multiply(X0,sP5_iProver_def) != identity
| identity != identity
| identity = multiply(X0,sP5_iProver_def) ),
inference(instantiation,[status(thm)],[c_218109]) ).
cnf(c_228958,plain,
( multiply(sk_c11,sP5_iProver_def) != identity
| identity != identity
| identity = multiply(sk_c11,sP5_iProver_def) ),
inference(instantiation,[status(thm)],[c_228955]) ).
cnf(c_230142,plain,
( X0 != sP5_iProver_def
| sk_c10 != sP5_iProver_def
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_217104]) ).
cnf(c_230143,plain,
( multiply(identity,inverse(sk_c11)) != sP5_iProver_def
| sk_c10 != sP5_iProver_def
| multiply(identity,inverse(sk_c11)) = sk_c10 ),
inference(instantiation,[status(thm)],[c_218653]) ).
cnf(c_230211,plain,
( X0 != sP5_iProver_def
| sk_c10 != sP5_iProver_def
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_218160]) ).
cnf(c_230438,plain,
( X0 != multiply(identity,sP5_iProver_def)
| sk_c10 != multiply(identity,sP5_iProver_def)
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_217104]) ).
cnf(c_236621,plain,
( X0 != sP18_iProver_def
| sk_c10 != sP18_iProver_def
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_218160]) ).
cnf(c_236622,plain,
( X0 != sP18_iProver_def
| sk_c10 != sP18_iProver_def
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_217104]) ).
cnf(c_236917,plain,
( sk_c10 != identity
| identity != identity
| identity = sk_c10 ),
inference(instantiation,[status(thm)],[c_218109]) ).
cnf(c_237187,plain,
( sk_c10 != sP5_iProver_def
| sP11_iProver_def != sP5_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_230142]) ).
cnf(c_238611,plain,
( multiply(identity,inverse(sk_c11)) != sk_c10
| identity != sk_c10
| identity = multiply(identity,inverse(sk_c11)) ),
inference(instantiation,[status(thm)],[c_222983]) ).
cnf(c_239770,plain,
( sk_c10 != multiply(identity,sP5_iProver_def)
| identity != multiply(identity,sP5_iProver_def)
| sk_c10 = identity ),
inference(instantiation,[status(thm)],[c_230438]) ).
cnf(c_240224,plain,
( sk_c10 != sP5_iProver_def
| identity != sP5_iProver_def
| identity = sk_c10 ),
inference(instantiation,[status(thm)],[c_230211]) ).
cnf(c_240348,plain,
( sk_c10 != sP18_iProver_def
| identity != sP18_iProver_def
| identity = sk_c10 ),
inference(instantiation,[status(thm)],[c_236621]) ).
cnf(c_240440,plain,
( sk_c10 != sP18_iProver_def
| identity != sP18_iProver_def
| sk_c10 = identity ),
inference(instantiation,[status(thm)],[c_236622]) ).
cnf(c_240785,plain,
( X0 != X1
| sP8_iProver_def != X1
| sP8_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_242053,plain,
( inverse(sk_c11) != sP5_iProver_def
| sP8_iProver_def != sP5_iProver_def
| sP8_iProver_def = inverse(sk_c11) ),
inference(instantiation,[status(thm)],[c_217001]) ).
cnf(c_247550,plain,
( X0 != inverse(X1)
| sP8_iProver_def != inverse(X1)
| sP8_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_240785]) ).
cnf(c_247551,plain,
( sk_c11 != inverse(sk_c11)
| sP8_iProver_def != inverse(sk_c11)
| sP8_iProver_def = sk_c11 ),
inference(instantiation,[status(thm)],[c_247550]) ).
cnf(c_251192,plain,
( ~ sP4_iProver_def
| sk_c11 = sP13_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_203738,c_13810,c_19740,c_197994]) ).
cnf(c_251198,plain,
( sk_c11 = sP13_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_84075,c_251192]) ).
cnf(c_251405,plain,
( X0 != multiply(identity,inverse(sk_c11))
| identity != multiply(identity,inverse(sk_c11))
| X0 = identity ),
inference(instantiation,[status(thm)],[c_217148]) ).
cnf(c_251406,plain,
( sk_c11 != multiply(identity,inverse(sk_c11))
| identity != multiply(identity,inverse(sk_c11))
| sk_c11 = identity ),
inference(instantiation,[status(thm)],[c_251405]) ).
cnf(c_253168,plain,
( multiply(inverse(identity),sk_c11) != X0
| sk_c10 != X0
| multiply(inverse(identity),sk_c11) = sk_c10 ),
inference(instantiation,[status(thm)],[c_218160]) ).
cnf(c_253169,plain,
( multiply(inverse(identity),sk_c11) != sk_c11
| sk_c10 != sk_c11
| multiply(inverse(identity),sk_c11) = sk_c10 ),
inference(instantiation,[status(thm)],[c_253168]) ).
cnf(c_256989,plain,
( sk_c11 != identity
| ~ sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_51648,c_21007,c_64799,c_115165]) ).
cnf(c_257035,plain,
( identity != sP16_iProver_def
| ~ sP2_iProver_def
| sk_c11 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_696,c_256989]) ).
cnf(c_263026,plain,
( sk_c10 != sP9_iProver_def
| ~ sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_4900,c_195373]) ).
cnf(c_263082,plain,
( sP5_iProver_def != sP9_iProver_def
| ~ sP3_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_746,c_263026]) ).
cnf(c_263428,plain,
( ~ sP3_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_263082,c_177620]) ).
cnf(c_263434,plain,
( sk_c11 = sP16_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP4_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_39649,c_263428]) ).
cnf(c_263580,plain,
( sP2_iProver_def
| sP1_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_263434,c_217554]) ).
cnf(c_263581,plain,
( sk_c11 = sP16_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(renaming,[status(thm)],[c_263580]) ).
cnf(c_266953,plain,
( inverse(identity) != sk_c10
| ~ sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_4903,c_753,c_666,c_667,c_672,c_1412,c_1828,c_2294,c_2569,c_3058,c_4893,c_4903,c_10527,c_12122,c_12360,c_13316,c_15930,c_15926,c_15910,c_19173,c_21299,c_21307,c_33479,c_33482,c_39604,c_39622,c_39988,c_41605,c_43524,c_43552,c_45371,c_57318,c_66829,c_68185,c_74426,c_85867,c_138575,c_149538,c_176696,c_178904,c_194782,c_195976,c_203687,c_217086,c_225840,c_228203,c_228958,c_239770]) ).
cnf(c_266955,plain,
( sk_c10 != identity
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_266953,c_38952]) ).
cnf(c_267030,plain,
( identity != sP18_iProver_def
| ~ sP3_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_711,c_266955]) ).
cnf(c_267031,plain,
( identity != sP18_iProver_def
| ~ sP3_iProver_def
| sk_c10 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_709,c_266955]) ).
cnf(c_267032,plain,
( identity != sP18_iProver_def
| ~ sP3_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_708,c_266955]) ).
cnf(c_267033,plain,
( identity != sP18_iProver_def
| ~ sP3_iProver_def
| sk_c10 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_707,c_266955]) ).
cnf(c_267152,plain,
( identity != sP18_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_267030,c_680,c_741,c_1412,c_1458,c_1828,c_4885,c_4886,c_14981,c_19024,c_24635,c_36522,c_38952,c_39644,c_59205,c_66832,c_77123,c_116193,c_116505,c_128409,c_128410,c_166881,c_181163,c_196198,c_197992,c_203687,c_237187,c_240348,c_240440,c_253169,c_256989]) ).
cnf(c_267161,plain,
( sk_c10 = sP11_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_138575,c_267152]) ).
cnf(c_267163,plain,
( sk_c10 = sP11_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_136409,c_267152]) ).
cnf(c_267892,plain,
( identity != sP18_iProver_def
| sk_c10 = sP9_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_267031,c_1827,c_1828,c_4885,c_4886,c_12344,c_16227,c_18294,c_21007,c_36522,c_38952,c_64181,c_64799,c_66829,c_66832,c_71026,c_84125,c_115165,c_116193,c_123279,c_128409,c_128410,c_138575,c_196198,c_203687,c_240348,c_253169,c_267152,c_267161]) ).
cnf(c_268519,plain,
( identity != sP18_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_267032,c_1827,c_1828,c_4885,c_4886,c_12116,c_12131,c_16563,c_18239,c_21007,c_36522,c_38952,c_64181,c_64799,c_66829,c_66832,c_71026,c_84105,c_115165,c_116193,c_123279,c_128409,c_128410,c_138575,c_196198,c_203687,c_240348,c_253169,c_267152,c_267161,c_267892]) ).
cnf(c_269565,plain,
( identity != sP18_iProver_def
| sk_c10 = sP6_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_267033,c_1827,c_1828,c_4885,c_4886,c_11960,c_15024,c_17019,c_18189,c_21007,c_24077,c_36522,c_38952,c_39650,c_64181,c_64799,c_66829,c_66832,c_71026,c_115165,c_116193,c_123279,c_128409,c_128410,c_138575,c_196198,c_197989,c_203687,c_240348,c_253169,c_267152,c_267161,c_268519]) ).
cnf(c_272378,plain,
identity = sP11_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_267161,c_1827,c_1828,c_64181,c_71026,c_138575,c_240348,c_267161]) ).
cnf(c_272384,plain,
( sk_c10 != sP11_iProver_def
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_266955,c_272378]) ).
cnf(c_272521,plain,
( sk_c11 = sP7_iProver_def
| sP11_iProver_def = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_61979,c_272378]) ).
cnf(c_272540,plain,
multiply(sk_c11,sP5_iProver_def) = sP11_iProver_def,
inference(demodulation,[status(thm)],[c_39988,c_272378]) ).
cnf(c_272541,plain,
inverse(sP11_iProver_def) = sP11_iProver_def,
inference(demodulation,[status(thm)],[c_38952,c_272378]) ).
cnf(c_272542,plain,
multiply(X0,sP11_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_38912,c_272378]) ).
cnf(c_272592,plain,
multiply(sP8_iProver_def,sk_c9) = sP11_iProver_def,
inference(demodulation,[status(thm)],[c_1340,c_272378]) ).
cnf(c_272598,plain,
multiply(sP11_iProver_def,X0) = X0,
inference(demodulation,[status(thm)],[c_110,c_272378]) ).
cnf(c_272891,plain,
sk_c8 = sP10_iProver_def,
inference(demodulation,[status(thm)],[c_13651,c_272542]) ).
cnf(c_272917,plain,
multiply(inverse(sP10_iProver_def),sP9_iProver_def) = sk_c11,
inference(demodulation,[status(thm)],[c_35417,c_272891]) ).
cnf(c_272971,plain,
multiply(sP10_iProver_def,sk_c11) = sP9_iProver_def,
inference(demodulation,[status(thm)],[c_668,c_272891]) ).
cnf(c_273055,plain,
multiply(sP11_iProver_def,sk_c11) = sk_c11,
inference(light_normalisation,[status(thm)],[c_272917,c_27749,c_75228]) ).
cnf(c_273115,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_39758,c_753,c_664,c_666,c_667,c_672,c_1592,c_1707,c_1828,c_1911,c_3058,c_4595,c_5135,c_8773,c_11958,c_18239,c_19748,c_21299,c_21307,c_22955,c_23353,c_24118,c_33478,c_33479,c_33482,c_39276,c_39642,c_39650,c_40567,c_41223,c_43552,c_45371,c_46627,c_59198,c_59205,c_59202,c_74426,c_84095,c_85097,c_85107,c_85867,c_194782,c_197990,c_228203,c_237187,c_242053,c_247551,c_251198,c_272384,c_272521]) ).
cnf(c_273117,plain,
( sP2_iProver_def
| sP1_iProver_def
| sP5_iProver_def != sP11_iProver_def
| sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_273115,c_753,c_664,c_666,c_667,c_672,c_1592,c_1827,c_1828,c_1911,c_2294,c_2569,c_3058,c_8773,c_11106,c_11958,c_12119,c_18239,c_19748,c_21299,c_21307,c_24118,c_33479,c_33482,c_34182,c_39276,c_40567,c_41223,c_43552,c_45371,c_46627,c_59205,c_64181,c_71026,c_74426,c_84095,c_84105,c_84125,c_85107,c_85867,c_126963,c_138575,c_162201,c_194782,c_196250,c_197990,c_216962,c_217824,c_218046,c_228069,c_228203,c_228924,c_237187,c_240348,c_251198,c_251406,c_267161,c_272384,c_272521,c_273115]) ).
cnf(c_273118,plain,
( sP5_iProver_def != sP11_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP4_iProver_def ),
inference(renaming,[status(thm)],[c_273117]) ).
cnf(c_281573,plain,
( multiply(identity,sk_c11) != sk_c10
| sk_c10 != identity
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_52486,c_169764]) ).
cnf(c_281574,plain,
( sk_c11 != sk_c10
| sk_c10 != identity
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_281573,c_110]) ).
cnf(c_281601,plain,
( sk_c11 != sP11_iProver_def
| sk_c10 != identity
| ~ sP1_iProver_def
| sk_c11 = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_731,c_281574]) ).
cnf(c_281617,plain,
( sk_c11 != sP11_iProver_def
| sk_c10 != identity
| ~ sP1_iProver_def
| sk_c11 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_691,c_281574]) ).
cnf(c_282678,plain,
( multiply(sP10_iProver_def,sk_c11) != sk_c10
| sk_c10 != sP11_iProver_def
| ~ sP1_iProver_def
| sk_c11 = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_48940,c_52514]) ).
cnf(c_282679,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_48322,c_52514]) ).
cnf(c_284073,plain,
( ~ sP3_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_52583,c_664,c_7986,c_10530,c_24118,c_39276,c_126082]) ).
cnf(c_284079,plain,
( sP6_iProver_def = sP8_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_84095,c_284073]) ).
cnf(c_284311,plain,
( ~ sP3_iProver_def
| sP8_iProver_def = sP9_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_52688,c_664,c_8102,c_10530,c_24118,c_39276,c_125967]) ).
cnf(c_284422,plain,
( ~ sP3_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_52796,c_1904,c_12114,c_41607,c_284073,c_284311]) ).
cnf(c_284447,plain,
( ~ sP3_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_52898,c_664,c_8331,c_10530,c_24118,c_39276,c_125746]) ).
cnf(c_284459,plain,
( ~ sP3_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_53042,c_1828,c_12342,c_42753,c_284311,c_284447]) ).
cnf(c_284465,plain,
( sP8_iProver_def = sP11_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_85097,c_284459]) ).
cnf(c_284470,plain,
( ~ sP3_iProver_def
| sP6_iProver_def = sP11_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_53801,c_1828,c_12342,c_42187,c_284422,c_284447]) ).
cnf(c_284476,plain,
( sP6_iProver_def = sP11_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_85107,c_284470]) ).
cnf(c_284967,plain,
( sP5_iProver_def != sP11_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_4596,c_753,c_664,c_666,c_667,c_672,c_1827,c_1828,c_1911,c_2294,c_2569,c_3058,c_8773,c_11106,c_11958,c_19748,c_21299,c_21307,c_33479,c_33482,c_34182,c_43552,c_45371,c_46627,c_64181,c_71026,c_74426,c_85867,c_125630,c_138575,c_161904,c_194782,c_196250,c_203702,c_216962,c_217824,c_218046,c_228069,c_228203,c_228924,c_240348,c_251198,c_251406,c_267161,c_272521,c_273118,c_284079,c_284465,c_284476]) ).
cnf(c_284991,plain,
( sP5_iProver_def != sP6_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_4599,c_1828,c_12122,c_58779,c_284476,c_284967]) ).
cnf(c_285205,plain,
( multiply(inverse(sP11_iProver_def),sk_c11) != sk_c10
| inverse(sP11_iProver_def) != sk_c10
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_272598,c_685]) ).
cnf(c_285218,plain,
( sk_c11 != sk_c10
| sk_c10 != sP11_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_285205,c_272541,c_273055]) ).
cnf(c_286188,plain,
identity = sP16_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_267163,c_664,c_680,c_4881,c_4886,c_5135,c_10530,c_21007,c_22955,c_23353,c_39642,c_61977,c_61974,c_63125,c_63299,c_63305,c_64799,c_66832,c_104479,c_115165,c_123678,c_136409,c_240348,c_267163,c_285218]) ).
cnf(c_286190,plain,
sP11_iProver_def = sP16_iProver_def,
inference(light_normalisation,[status(thm)],[c_286188,c_272378]) ).
cnf(c_286201,plain,
( sk_c11 = sP11_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_263581,c_286190]) ).
cnf(c_286406,plain,
( sk_c11 = sP11_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(demodulation,[status(thm)],[c_746,c_286190]) ).
cnf(c_286407,plain,
( sk_c11 = sP11_iProver_def
| sk_c11 = sP20_iProver_def ),
inference(demodulation,[status(thm)],[c_736,c_286190]) ).
cnf(c_286408,plain,
( sk_c11 = sP11_iProver_def
| sk_c11 = sP19_iProver_def ),
inference(demodulation,[status(thm)],[c_726,c_286190]) ).
cnf(c_286409,plain,
( sk_c11 = sP11_iProver_def
| sk_c10 = sP18_iProver_def ),
inference(demodulation,[status(thm)],[c_716,c_286190]) ).
cnf(c_286410,plain,
( sk_c11 = sP11_iProver_def
| sk_c3 = sP17_iProver_def ),
inference(demodulation,[status(thm)],[c_706,c_286190]) ).
cnf(c_286412,plain,
( sk_c11 = sP7_iProver_def
| sk_c11 = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_696,c_286190]) ).
cnf(c_286867,plain,
( sP1_iProver_def
| sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_286201,c_1827,c_1828,c_2294,c_2569,c_10527,c_39988,c_57317,c_64181,c_68185,c_71026,c_138575,c_166881,c_181163,c_217086,c_217152,c_225840,c_228958,c_240348,c_267161,c_284967,c_286201]) ).
cnf(c_286873,plain,
sk_c10 = sP5_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_286406,c_1827,c_1828,c_2294,c_10527,c_24635,c_57317,c_64181,c_68185,c_71026,c_138575,c_216885,c_217086,c_223202,c_226325,c_240348,c_267161,c_272540,c_286406]) ).
cnf(c_286978,plain,
multiply(sP20_iProver_def,sP19_iProver_def) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_13402,c_286873]) ).
cnf(c_287007,plain,
( sk_c3 = sP17_iProver_def
| sP5_iProver_def = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_701,c_286873]) ).
cnf(c_287175,plain,
sk_c11 = sP20_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_286407,c_680,c_1827,c_1828,c_2294,c_4888,c_5135,c_21007,c_22831,c_22955,c_23353,c_39610,c_39642,c_41205,c_64181,c_64799,c_68184,c_71026,c_115165,c_123279,c_138575,c_240348,c_267161,c_281601,c_286407,c_286873]) ).
cnf(c_287363,plain,
multiply(sP8_iProver_def,sP6_iProver_def) = sP20_iProver_def,
inference(demodulation,[status(thm)],[c_13634,c_287175]) ).
cnf(c_287369,plain,
multiply(sP7_iProver_def,sP17_iProver_def) = sP20_iProver_def,
inference(demodulation,[status(thm)],[c_13390,c_287175]) ).
cnf(c_287404,plain,
inverse(sP20_iProver_def) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_664,c_287175]) ).
cnf(c_287408,plain,
sk_c1 = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_287404,c_115053]) ).
cnf(c_287732,plain,
inverse(sP20_iProver_def) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_115053,c_287408]) ).
cnf(c_287772,plain,
sk_c11 = sP19_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_286408,c_680,c_1827,c_1828,c_2294,c_4888,c_5135,c_10527,c_20680,c_20880,c_21007,c_22955,c_23353,c_24635,c_39616,c_39642,c_41209,c_57317,c_64181,c_64799,c_68184,c_68185,c_71026,c_97066,c_115165,c_138575,c_216885,c_217086,c_223202,c_226325,c_240348,c_267161,c_272971,c_272540,c_282678,c_286408,c_286406]) ).
cnf(c_287774,plain,
sP19_iProver_def = sP20_iProver_def,
inference(demodulation,[status(thm)],[c_287175,c_287772]) ).
cnf(c_287784,plain,
sk_c10 = sP18_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_286409,c_1827,c_1828,c_1917,c_1918,c_2294,c_2296,c_4888,c_10527,c_18189,c_18294,c_19024,c_21007,c_24635,c_57317,c_64181,c_64799,c_68184,c_68185,c_71026,c_97066,c_115165,c_138575,c_216885,c_217086,c_223202,c_226325,c_240348,c_267161,c_272971,c_272540,c_282679,c_284991,c_286409,c_286406]) ).
cnf(c_287786,plain,
sP5_iProver_def = sP18_iProver_def,
inference(light_normalisation,[status(thm)],[c_287784,c_286873]) ).
cnf(c_287830,plain,
multiply(sP5_iProver_def,sP5_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_13816,c_287786]) ).
cnf(c_287870,plain,
sk_c3 = sP17_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_286410,c_753,c_664,c_666,c_667,c_672,c_1827,c_1828,c_1911,c_2294,c_3058,c_8773,c_10527,c_11106,c_11958,c_15887,c_16996,c_19748,c_21007,c_21299,c_21307,c_24635,c_33479,c_33482,c_34182,c_43552,c_45371,c_46627,c_57317,c_64181,c_64799,c_66829,c_68184,c_68185,c_71026,c_74426,c_85867,c_111891,c_115165,c_123279,c_125630,c_138575,c_161904,c_194782,c_203702,c_216885,c_216962,c_217086,c_217824,c_223202,c_226325,c_228203,c_230143,c_238611,c_240348,c_251198,c_251406,c_267161,c_272540,c_272521,c_273118,c_284079,c_284465,c_284476,c_286410,c_286406,c_287007]) ).
cnf(c_287872,plain,
sk_c11 = sP7_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_286412,c_664,c_680,c_1827,c_1828,c_4881,c_4886,c_5135,c_10530,c_14981,c_21007,c_22955,c_23353,c_39642,c_61977,c_61974,c_63125,c_63299,c_63305,c_64181,c_64799,c_66832,c_71026,c_104479,c_115165,c_123279,c_123678,c_136409,c_138575,c_240348,c_257035,c_267163,c_267161,c_281617,c_285218,c_286412,c_286867]) ).
cnf(c_287874,plain,
sP7_iProver_def = sP19_iProver_def,
inference(demodulation,[status(thm)],[c_287772,c_287872]) ).
cnf(c_287940,plain,
sP7_iProver_def = sP20_iProver_def,
inference(light_normalisation,[status(thm)],[c_287774,c_287874]) ).
cnf(c_287958,plain,
sk_c2 = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_287732,c_126692,c_287940]) ).
cnf(c_287963,plain,
inverse(sP7_iProver_def) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_126692,c_287958]) ).
cnf(c_288041,plain,
multiply(sP7_iProver_def,sP7_iProver_def) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_286978,c_287874,c_287940]) ).
cnf(c_288043,plain,
multiply(inverse(sP7_iProver_def),sP5_iProver_def) = sP7_iProver_def,
inference(superposition,[status(thm)],[c_288041,c_35361]) ).
cnf(c_288046,plain,
sP7_iProver_def = sP17_iProver_def,
inference(light_normalisation,[status(thm)],[c_288043,c_287830,c_287870,c_287963]) ).
cnf(c_288048,plain,
sk_c3 = sP7_iProver_def,
inference(demodulation,[status(thm)],[c_287870,c_288046]) ).
cnf(c_288102,plain,
( sk_c10 != identity
| ~ sP1_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_5962,c_1827,c_1828,c_1917,c_1918,c_2294,c_2296,c_2569,c_4888,c_5762,c_5763,c_10527,c_18189,c_18294,c_19024,c_21007,c_24635,c_57317,c_64181,c_64799,c_68184,c_68185,c_71026,c_80886,c_97066,c_111891,c_115165,c_138575,c_216885,c_217086,c_223202,c_226325,c_236917,c_240348,c_267161,c_269565,c_272971,c_272540,c_282679,c_284991,c_286409,c_286406]) ).
cnf(c_288104,plain,
( sP5_iProver_def != sP11_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_288102,c_272378,c_286873]) ).
cnf(c_288158,plain,
multiply(sP8_iProver_def,sP6_iProver_def) = sP7_iProver_def,
inference(light_normalisation,[status(thm)],[c_287363,c_287940]) ).
cnf(c_288161,plain,
multiply(sP8_iProver_def,multiply(sP6_iProver_def,X0)) = multiply(sP7_iProver_def,X0),
inference(superposition,[status(thm)],[c_288158,c_112]) ).
cnf(c_288168,plain,
sP5_iProver_def = sP7_iProver_def,
inference(light_normalisation,[status(thm)],[c_287369,c_287940,c_288041,c_288046]) ).
cnf(c_288173,plain,
sk_c3 = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_288048,c_288168]) ).
cnf(c_288180,plain,
sk_c11 = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_287872,c_288168]) ).
cnf(c_288195,plain,
multiply(sP8_iProver_def,multiply(sP6_iProver_def,X0)) = multiply(sP5_iProver_def,X0),
inference(light_normalisation,[status(thm)],[c_288161,c_288168]) ).
cnf(c_288197,plain,
multiply(sP5_iProver_def,sP5_iProver_def) = multiply(sP8_iProver_def,sk_c9),
inference(superposition,[status(thm)],[c_41456,c_288195]) ).
cnf(c_288204,plain,
sP5_iProver_def = sP11_iProver_def,
inference(light_normalisation,[status(thm)],[c_288197,c_272592,c_287830,c_288173]) ).
cnf(c_288209,plain,
~ sP1_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_288104,c_288204]) ).
cnf(c_288223,plain,
identity = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_272378,c_288204]) ).
cnf(c_288224,plain,
sP2_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_286867,c_288209]) ).
cnf(c_288257,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_288223,c_288224,c_288180,c_287772,c_286873,c_240224,c_115165,c_66832,c_4893]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP238-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 23:43:31 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 37.79/6.25 % SZS status Started for theBenchmark.p
% 37.79/6.25 % SZS status Unsatisfiable for theBenchmark.p
% 37.79/6.25
% 37.79/6.25 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 37.79/6.25
% 37.79/6.25 ------ iProver source info
% 37.79/6.25
% 37.79/6.25 git: date: 2024-05-02 19:28:25 +0000
% 37.79/6.25 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 37.79/6.25 git: non_committed_changes: false
% 37.79/6.25
% 37.79/6.25 ------ Parsing...successful
% 37.79/6.25
% 37.79/6.25
% 37.79/6.25
% 37.79/6.25 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 37.79/6.25
% 37.79/6.25 ------ Preprocessing... gs_s sp: 6 0s gs_e snvd_s sp: 0 0s snvd_e
% 37.79/6.25
% 37.79/6.25 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 37.79/6.25 ------ Proving...
% 37.79/6.25 ------ Problem Properties
% 37.79/6.25
% 37.79/6.25
% 37.79/6.25 clauses 85
% 37.79/6.25 conjectures 66
% 37.79/6.25 EPR 61
% 37.79/6.25 Horn 24
% 37.79/6.25 unary 19
% 37.79/6.25 binary 60
% 37.79/6.25 lits 160
% 37.79/6.25 lits eq 150
% 37.79/6.25 fd_pure 0
% 37.79/6.25 fd_pseudo 0
% 37.79/6.25 fd_cond 0
% 37.79/6.25 fd_pseudo_cond 0
% 37.79/6.25 AC symbols 0
% 37.79/6.25
% 37.79/6.25 ------ Schedule dynamic 5 is on
% 37.79/6.25
% 37.79/6.25 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 37.79/6.25
% 37.79/6.25
% 37.79/6.25 ------
% 37.79/6.25 Current options:
% 37.79/6.25 ------
% 37.79/6.25
% 37.79/6.25
% 37.79/6.25
% 37.79/6.25
% 37.79/6.25 ------ Proving...
% 37.79/6.25
% 37.79/6.25
% 37.79/6.25 % SZS status Unsatisfiable for theBenchmark.p
% 37.79/6.25
% 37.79/6.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 37.79/6.26
% 37.79/6.26
%------------------------------------------------------------------------------