TSTP Solution File: GRP242-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP242-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 02:21:52 EDT 2024
% Result : Unsatisfiable 20.74s 3.68s
% Output : CNFRefutation 20.74s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c10,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c7,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c8,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c10,sk_c9) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c9
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c10,sk_c9) = sk_c11
| multiply(sk_c2,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| multiply(sk_c2,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c9
| multiply(sk_c2,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c10,sk_c9) = sk_c11
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( inverse(sk_c7) = sk_c10
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c9
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( inverse(sk_c8) = sk_c11
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c10,sk_c9) = sk_c11
| multiply(sk_c3,sk_c6) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c11
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| multiply(sk_c3,sk_c6) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c11
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c9
| multiply(sk_c3,sk_c6) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c11
| inverse(sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c10,sk_c9) = sk_c11
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( inverse(sk_c7) = sk_c10
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c9
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_84,negated_conjecture,
( inverse(sk_c8) = sk_c11
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_85,negated_conjecture,
( multiply(sk_c10,sk_c9) = sk_c11
| multiply(sk_c6,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_86,negated_conjecture,
( multiply(sk_c6,sk_c10) = sk_c11
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
cnf(c_87,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| multiply(sk_c6,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
cnf(c_88,negated_conjecture,
( multiply(sk_c6,sk_c10) = sk_c11
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
cnf(c_89,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c9
| multiply(sk_c6,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
cnf(c_90,negated_conjecture,
( multiply(sk_c6,sk_c10) = sk_c11
| inverse(sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
cnf(c_109,negated_conjecture,
( multiply(X0,X1) != sk_c11
| multiply(X2,X1) != X3
| multiply(X1,sk_c10) != sk_c11
| multiply(X4,sk_c11) != sk_c10
| multiply(X5,sk_c10) != sk_c9
| multiply(X6,sk_c10) != sk_c11
| multiply(X7,sk_c11) != sk_c9
| multiply(sk_c10,sk_c9) != sk_c11
| inverse(X0) != X1
| inverse(X2) != X3
| inverse(X3) != X1
| inverse(X4) != sk_c11
| inverse(X5) != sk_c10
| inverse(X6) != sk_c10
| inverse(X7) != sk_c11
| inverse(sk_c10) != sk_c9 ),
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,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X1,inverse(X1)) != sk_c11
| multiply(inverse(X1),sk_c10) != sk_c11
| multiply(X2,sk_c11) != sk_c10
| multiply(X3,sk_c10) != sk_c9
| multiply(X4,sk_c10) != sk_c11
| multiply(X5,sk_c11) != sk_c9
| multiply(sk_c10,sk_c9) != sk_c11
| inverse(X0) != multiply(X0,inverse(X1))
| inverse(X2) != sk_c11
| inverse(X3) != sk_c10
| inverse(X4) != sk_c10
| inverse(X5) != sk_c11
| inverse(sk_c10) != sk_c9 ),
inference(unflattening,[status(thm)],[c_109]) ).
cnf(c_114,plain,
multiply(identity,sk_c10) = sk_c10,
inference(instantiation,[status(thm)],[c_110]) ).
cnf(c_115,plain,
multiply(inverse(sk_c10),sk_c10) = identity,
inference(instantiation,[status(thm)],[c_111]) ).
cnf(c_662,negated_conjecture,
( multiply(X0,sk_c10) != sk_c11
| inverse(X0) != sk_c10
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_113]) ).
cnf(c_663,negated_conjecture,
( multiply(X0,sk_c10) != sk_c9
| inverse(X0) != sk_c10
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_113]) ).
cnf(c_664,negated_conjecture,
( multiply(X0,sk_c11) != sk_c9
| inverse(X0) != sk_c11
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_113]) ).
cnf(c_665,negated_conjecture,
( multiply(X0,sk_c11) != sk_c10
| inverse(X0) != sk_c11
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_113]) ).
cnf(c_666,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c11
| multiply(inverse(X0),sk_c10) != sk_c11
| inverse(X1) != multiply(X1,inverse(X0))
| inverse(multiply(X1,inverse(X0))) != inverse(X0)
| ~ sP4_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_113]) ).
cnf(c_667,negated_conjecture,
( multiply(sk_c10,sk_c9) != sk_c11
| inverse(sk_c10) != sk_c9
| 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_668,plain,
multiply(sk_c10,sk_c9) = sP5_iProver_def,
definition ).
cnf(c_669,plain,
inverse(sk_c10) = sP6_iProver_def,
definition ).
cnf(c_671,plain,
inverse(sk_c8) = sP8_iProver_def,
definition ).
cnf(c_672,plain,
multiply(sk_c8,sk_c11) = sP9_iProver_def,
definition ).
cnf(c_673,plain,
inverse(sk_c7) = sP10_iProver_def,
definition ).
cnf(c_674,plain,
multiply(sk_c7,sk_c10) = sP11_iProver_def,
definition ).
cnf(c_677,plain,
multiply(sk_c6,sk_c10) = sP14_iProver_def,
definition ).
cnf(c_678,plain,
inverse(sk_c3) = sP15_iProver_def,
definition ).
cnf(c_679,plain,
multiply(sk_c3,sk_c6) = sP16_iProver_def,
definition ).
cnf(c_680,plain,
inverse(sk_c2) = sP17_iProver_def,
definition ).
cnf(c_681,plain,
multiply(sk_c2,sk_c10) = sP18_iProver_def,
definition ).
cnf(c_682,plain,
inverse(sk_c1) = sP19_iProver_def,
definition ).
cnf(c_683,plain,
multiply(sk_c1,sk_c11) = sP20_iProver_def,
definition ).
cnf(c_684,negated_conjecture,
( sP5_iProver_def != sk_c11
| sP6_iProver_def != sk_c9
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_667,c_669,c_668]) ).
cnf(c_685,negated_conjecture,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X1,inverse(X1)) != sk_c11
| multiply(inverse(X1),sk_c10) != sk_c11
| inverse(X0) != multiply(X0,inverse(X1))
| ~ sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_666]) ).
cnf(c_686,negated_conjecture,
( multiply(X0,sk_c11) != sk_c10
| inverse(X0) != sk_c11
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_665]) ).
cnf(c_687,negated_conjecture,
( multiply(X0,sk_c11) != sk_c9
| inverse(X0) != sk_c11
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_664]) ).
cnf(c_688,negated_conjecture,
( multiply(X0,sk_c10) != sk_c9
| inverse(X0) != sk_c10
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_663]) ).
cnf(c_689,negated_conjecture,
( multiply(X0,sk_c10) != sk_c11
| inverse(X0) != sk_c10
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_662]) ).
cnf(c_708,negated_conjecture,
( sP8_iProver_def = sk_c11
| sP14_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_90,c_677]) ).
cnf(c_709,negated_conjecture,
( sP9_iProver_def = sk_c9
| sP14_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_89]) ).
cnf(c_710,negated_conjecture,
( sP10_iProver_def = sk_c10
| sP14_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_88]) ).
cnf(c_711,negated_conjecture,
( sP11_iProver_def = sk_c11
| sP14_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_87]) ).
cnf(c_712,negated_conjecture,
( sP6_iProver_def = sk_c9
| sP14_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_86]) ).
cnf(c_713,negated_conjecture,
( sP5_iProver_def = sk_c11
| sP14_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_85]) ).
cnf(c_714,negated_conjecture,
( sP8_iProver_def = sk_c11
| sP15_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_84,c_678]) ).
cnf(c_715,negated_conjecture,
( sP9_iProver_def = sk_c9
| sP15_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_83]) ).
cnf(c_716,negated_conjecture,
( sP10_iProver_def = sk_c10
| sP15_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_82]) ).
cnf(c_717,negated_conjecture,
( sP11_iProver_def = sk_c11
| sP15_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_81]) ).
cnf(c_718,negated_conjecture,
( sP6_iProver_def = sk_c9
| sP15_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_80]) ).
cnf(c_719,negated_conjecture,
( sP5_iProver_def = sk_c11
| sP15_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_79]) ).
cnf(c_720,negated_conjecture,
( sP8_iProver_def = sk_c11
| sP16_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_78,c_679]) ).
cnf(c_721,negated_conjecture,
( sP9_iProver_def = sk_c9
| sP16_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_77]) ).
cnf(c_722,negated_conjecture,
( sP10_iProver_def = sk_c10
| sP16_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_76]) ).
cnf(c_723,negated_conjecture,
( sP11_iProver_def = sk_c11
| sP16_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_75]) ).
cnf(c_724,negated_conjecture,
( sP6_iProver_def = sk_c9
| sP16_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_74]) ).
cnf(c_725,negated_conjecture,
( sP5_iProver_def = sk_c11
| sP16_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_73]) ).
cnf(c_726,negated_conjecture,
( sP8_iProver_def = sk_c11
| sP17_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_72,c_680]) ).
cnf(c_727,negated_conjecture,
( sP9_iProver_def = sk_c9
| sP17_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_71]) ).
cnf(c_728,negated_conjecture,
( sP10_iProver_def = sk_c10
| sP17_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_70]) ).
cnf(c_729,negated_conjecture,
( sP11_iProver_def = sk_c11
| sP17_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_69]) ).
cnf(c_730,negated_conjecture,
( sP6_iProver_def = sk_c9
| sP17_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_68]) ).
cnf(c_731,negated_conjecture,
( sP5_iProver_def = sk_c11
| sP17_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_732,negated_conjecture,
( sP8_iProver_def = sk_c11
| sP18_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_66,c_681]) ).
cnf(c_733,negated_conjecture,
( sP9_iProver_def = sk_c9
| sP18_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_734,negated_conjecture,
( sP10_iProver_def = sk_c10
| sP18_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_735,negated_conjecture,
( sP11_iProver_def = sk_c11
| sP18_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_736,negated_conjecture,
( sP6_iProver_def = sk_c9
| sP18_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_737,negated_conjecture,
( sP5_iProver_def = sk_c11
| sP18_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_738,negated_conjecture,
( sP8_iProver_def = sk_c11
| sP19_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_60,c_682]) ).
cnf(c_739,negated_conjecture,
( sP9_iProver_def = sk_c9
| sP19_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_740,negated_conjecture,
( sP10_iProver_def = sk_c10
| sP19_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_741,negated_conjecture,
( sP11_iProver_def = sk_c11
| sP19_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_742,negated_conjecture,
( sP6_iProver_def = sk_c9
| sP19_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_743,negated_conjecture,
( sP5_iProver_def = sk_c11
| sP19_iProver_def = sk_c11 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_744,negated_conjecture,
( sP8_iProver_def = sk_c11
| sP20_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_54,c_683]) ).
cnf(c_745,negated_conjecture,
( sP9_iProver_def = sk_c9
| sP20_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_746,negated_conjecture,
( sP10_iProver_def = sk_c10
| sP20_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_747,negated_conjecture,
( sP11_iProver_def = sk_c11
| sP20_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_748,negated_conjecture,
( sP6_iProver_def = sk_c9
| sP20_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_749,negated_conjecture,
( sP5_iProver_def = sk_c11
| sP20_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_750,plain,
X0 = X0,
theory(equality) ).
cnf(c_751,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_752,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_753,plain,
( X0 != X1
| inverse(X0) = inverse(X1) ),
theory(equality) ).
cnf(c_755,plain,
( sk_c10 != sk_c10
| inverse(sk_c10) = inverse(sk_c10) ),
inference(instantiation,[status(thm)],[c_753]) ).
cnf(c_756,plain,
sk_c10 = sk_c10,
inference(instantiation,[status(thm)],[c_750]) ).
cnf(c_757,plain,
( multiply(sk_c10,sk_c10) != sk_c11
| inverse(sk_c10) != sk_c10
| ~ sP0_iProver_def ),
inference(instantiation,[status(thm)],[c_689]) ).
cnf(c_1326,plain,
multiply(sP6_iProver_def,sk_c10) = identity,
inference(superposition,[status(thm)],[c_669,c_111]) ).
cnf(c_1327,plain,
multiply(sP10_iProver_def,sk_c7) = identity,
inference(superposition,[status(thm)],[c_673,c_111]) ).
cnf(c_1328,plain,
multiply(sP8_iProver_def,sk_c8) = identity,
inference(superposition,[status(thm)],[c_671,c_111]) ).
cnf(c_1329,plain,
multiply(sP19_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_682,c_111]) ).
cnf(c_1330,plain,
multiply(sP17_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_680,c_111]) ).
cnf(c_1331,plain,
multiply(sP15_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_678,c_111]) ).
cnf(c_1426,plain,
( sk_c11 = sP14_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_709,c_712]) ).
cnf(c_1453,plain,
( multiply(sk_c3,sP15_iProver_def) = sP16_iProver_def
| sk_c11 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_714,c_679]) ).
cnf(c_1482,plain,
( inverse(X0) != X1
| sk_c10 != X1
| inverse(X0) = sk_c10 ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_1493,plain,
( multiply(sk_c3,sP15_iProver_def) = sP16_iProver_def
| sk_c9 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_715,c_679]) ).
cnf(c_1510,plain,
( inverse(X0) != inverse(X0)
| sk_c10 != inverse(X0)
| inverse(X0) = sk_c10 ),
inference(instantiation,[status(thm)],[c_1482]) ).
cnf(c_1512,plain,
( inverse(sk_c10) != inverse(sk_c10)
| sk_c10 != inverse(sk_c10)
| inverse(sk_c10) = sk_c10 ),
inference(instantiation,[status(thm)],[c_1510]) ).
cnf(c_1514,plain,
( inverse(X0) != X1
| X2 != X1
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_1515,plain,
( inverse(X0) != inverse(X1)
| sk_c10 != inverse(X1)
| inverse(X0) = sk_c10 ),
inference(instantiation,[status(thm)],[c_1482]) ).
cnf(c_1518,plain,
( inverse(sk_c7) != sP10_iProver_def
| sk_c10 != sP10_iProver_def
| inverse(sk_c7) = sk_c10 ),
inference(instantiation,[status(thm)],[c_1482]) ).
cnf(c_1522,plain,
( inverse(sk_c2) != sP17_iProver_def
| sk_c10 != sP17_iProver_def
| inverse(sk_c2) = sk_c10 ),
inference(instantiation,[status(thm)],[c_1482]) ).
cnf(c_1534,plain,
( multiply(sk_c3,sP15_iProver_def) = sP16_iProver_def
| sk_c10 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_716,c_679]) ).
cnf(c_1564,plain,
( multiply(sk_c3,sP15_iProver_def) = sP16_iProver_def
| sk_c11 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_717,c_679]) ).
cnf(c_1594,plain,
( multiply(sk_c3,sP15_iProver_def) = sP16_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_718,c_679]) ).
cnf(c_1614,plain,
( sk_c10 != X0
| sP6_iProver_def != X0
| sk_c10 = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_1616,plain,
( sk_c10 != X0
| sP8_iProver_def != X0
| sk_c10 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_1628,plain,
( multiply(sk_c3,sP15_iProver_def) = sP16_iProver_def
| sk_c11 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_719,c_679]) ).
cnf(c_1646,plain,
( multiply(sk_c7,sk_c10) != sk_c11
| inverse(sk_c7) != sk_c10
| ~ sP0_iProver_def ),
inference(instantiation,[status(thm)],[c_689]) ).
cnf(c_1658,plain,
( sk_c11 = sP8_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_720,c_708]) ).
cnf(c_1688,plain,
( sk_c10 != X0
| sP19_iProver_def != X0
| sk_c10 = sP19_iProver_def ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_1713,plain,
( inverse(X0) != X1
| sk_c10 != X1
| sk_c10 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_1721,plain,
( inverse(sk_c10) != sP6_iProver_def
| X0 != sP6_iProver_def
| inverse(sk_c10) = X0 ),
inference(instantiation,[status(thm)],[c_1514]) ).
cnf(c_1723,plain,
( inverse(sk_c7) != sP10_iProver_def
| X0 != sP10_iProver_def
| inverse(sk_c7) = X0 ),
inference(instantiation,[status(thm)],[c_1514]) ).
cnf(c_1727,plain,
( inverse(sk_c2) != sP17_iProver_def
| X0 != sP17_iProver_def
| inverse(sk_c2) = X0 ),
inference(instantiation,[status(thm)],[c_1514]) ).
cnf(c_1738,plain,
( sk_c11 = sP11_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_723,c_711]) ).
cnf(c_1740,plain,
( multiply(sk_c1,sP16_iProver_def) = sP20_iProver_def
| sk_c11 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_723,c_683]) ).
cnf(c_1754,plain,
( sk_c11 = sP16_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_724,c_721]) ).
cnf(c_1756,plain,
( multiply(sk_c10,sP6_iProver_def) = sP5_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_724,c_668]) ).
cnf(c_1768,plain,
( sk_c11 = sP5_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_725,c_713]) ).
cnf(c_1771,plain,
( multiply(sk_c1,sP16_iProver_def) = sP20_iProver_def
| sk_c11 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_725,c_683]) ).
cnf(c_1792,plain,
( multiply(sP17_iProver_def,sk_c9) = sP5_iProver_def
| sk_c11 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_726,c_668]) ).
cnf(c_1811,plain,
( multiply(sk_c7,sk_c10) != sk_c9
| inverse(sk_c7) != sk_c10
| ~ sP1_iProver_def ),
inference(instantiation,[status(thm)],[c_688]) ).
cnf(c_1814,plain,
( X0 != X1
| sP6_iProver_def != X1
| sP6_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_1817,plain,
( X0 != X1
| sP8_iProver_def != X1
| sP8_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_1849,plain,
( multiply(sP17_iProver_def,sk_c9) = sP5_iProver_def
| sk_c10 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_728,c_668]) ).
cnf(c_1877,plain,
( X0 != X1
| sP19_iProver_def != X1
| sP19_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_1878,plain,
( inverse(sk_c7) != X0
| X1 != X0
| inverse(sk_c7) = X1 ),
inference(instantiation,[status(thm)],[c_1514]) ).
cnf(c_1894,plain,
( multiply(sP17_iProver_def,sk_c9) = sP5_iProver_def
| sk_c11 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_729,c_668]) ).
cnf(c_1916,plain,
( X0 != X1
| sP6_iProver_def != X1
| X0 = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_1927,plain,
( sk_c10 = sP17_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_730,c_727]) ).
cnf(c_1930,plain,
( multiply(sk_c10,sP6_iProver_def) = sP5_iProver_def
| sk_c10 = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_730,c_668]) ).
cnf(c_1944,plain,
( multiply(sk_c2,sP17_iProver_def) = sP18_iProver_def
| sk_c11 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_731,c_681]) ).
cnf(c_1948,plain,
( multiply(sP17_iProver_def,sk_c9) = sP5_iProver_def
| sk_c11 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_731,c_668]) ).
cnf(c_1970,plain,
( X0 != X1
| sP8_iProver_def != X1
| X0 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_2258,plain,
( multiply(sk_c10,sP18_iProver_def) = sP5_iProver_def
| sk_c11 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_737,c_668]) ).
cnf(c_2294,plain,
( sk_c11 = sP8_iProver_def
| sP14_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_738,c_708]) ).
cnf(c_2295,plain,
( multiply(sk_c1,sP19_iProver_def) = sP20_iProver_def
| sk_c11 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_738,c_683]) ).
cnf(c_2317,plain,
( inverse(sk_c7) != sP10_iProver_def
| sk_c10 != sP10_iProver_def
| sk_c10 = inverse(sk_c7) ),
inference(instantiation,[status(thm)],[c_1713]) ).
cnf(c_2421,plain,
( inverse(X0) != X1
| X2 != X1
| X2 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_2425,plain,
( multiply(sk_c7,sk_c10) != X0
| sk_c9 != X0
| multiply(sk_c7,sk_c10) = sk_c9 ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_2427,plain,
( sk_c10 != X0
| sk_c9 != X0
| sk_c10 = sk_c9 ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_2443,plain,
( sk_c11 = sP11_iProver_def
| sP14_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_741,c_711]) ).
cnf(c_2445,plain,
( multiply(sk_c1,sP19_iProver_def) = sP20_iProver_def
| sk_c11 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_741,c_683]) ).
cnf(c_2455,plain,
( sk_c11 != X0
| sk_c10 != X0
| sk_c10 = sk_c11 ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_2463,plain,
( inverse(X0) != inverse(sk_c7)
| sk_c10 != inverse(sk_c7)
| inverse(X0) = sk_c10 ),
inference(instantiation,[status(thm)],[c_1515]) ).
cnf(c_2464,plain,
( inverse(sk_c10) != inverse(sk_c7)
| sk_c10 != inverse(sk_c7)
| inverse(sk_c10) = sk_c10 ),
inference(instantiation,[status(thm)],[c_2463]) ).
cnf(c_2480,plain,
( sk_c11 = sP19_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_742,c_739]) ).
cnf(c_2490,plain,
( multiply(sk_c10,sP6_iProver_def) = sP5_iProver_def
| sk_c11 = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_742,c_668]) ).
cnf(c_2558,plain,
( sk_c11 = sP5_iProver_def
| sP14_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_743,c_713]) ).
cnf(c_2561,plain,
( multiply(sk_c1,sP19_iProver_def) = sP20_iProver_def
| sk_c11 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_743,c_683]) ).
cnf(c_2592,plain,
( sk_c11 = sP8_iProver_def
| sP17_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_744,c_726]) ).
cnf(c_2637,plain,
( inverse(sk_c7) != X0
| sP8_iProver_def != X0
| inverse(sk_c7) = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_1878]) ).
cnf(c_2797,plain,
( sk_c10 = sP10_iProver_def
| sP17_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_746,c_728]) ).
cnf(c_2870,plain,
( multiply(sk_c2,sP20_iProver_def) = sP18_iProver_def
| sk_c11 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_747,c_681]) ).
cnf(c_2984,plain,
( sk_c10 = sP20_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_748,c_745]) ).
cnf(c_2995,plain,
( multiply(sk_c10,sP6_iProver_def) = sP5_iProver_def
| sk_c10 = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_748,c_668]) ).
cnf(c_3049,plain,
( multiply(sk_c2,sP20_iProver_def) = sP18_iProver_def
| sk_c11 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_749,c_681]) ).
cnf(c_3084,plain,
( X0 != sP6_iProver_def
| sP6_iProver_def != sP6_iProver_def
| sP6_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_1814]) ).
cnf(c_3085,plain,
sP6_iProver_def = sP6_iProver_def,
inference(instantiation,[status(thm)],[c_750]) ).
cnf(c_3088,plain,
( X0 != sk_c9
| sP6_iProver_def != sk_c9
| sP6_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_1814]) ).
cnf(c_3206,plain,
( X0 != sP8_iProver_def
| sP8_iProver_def != sP8_iProver_def
| sP8_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_1817]) ).
cnf(c_3207,plain,
sP8_iProver_def = sP8_iProver_def,
inference(instantiation,[status(thm)],[c_750]) ).
cnf(c_3210,plain,
( X0 != sk_c11
| sP8_iProver_def != sk_c11
| sP8_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_1817]) ).
cnf(c_3250,plain,
( inverse(sk_c1) != sk_c11
| sk_c10 != sP20_iProver_def
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_683,c_686]) ).
cnf(c_3252,plain,
( inverse(identity) != sk_c11
| sk_c11 != sk_c10
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_110,c_686]) ).
cnf(c_3270,plain,
( sk_c11 != sP19_iProver_def
| sk_c10 != sP20_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3250,c_682]) ).
cnf(c_3360,plain,
( X0 != sk_c9
| sP6_iProver_def != sk_c9
| X0 = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_1916]) ).
cnf(c_3368,plain,
( inverse(sk_c8) != sk_c11
| sk_c9 != sP9_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_672,c_687]) ).
cnf(c_3369,plain,
( inverse(identity) != sk_c11
| sk_c11 != sk_c9
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_110,c_687]) ).
cnf(c_3383,plain,
( sk_c11 != sP8_iProver_def
| sk_c9 != sP9_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3368,c_671]) ).
cnf(c_3441,plain,
( X0 != sk_c11
| sP8_iProver_def != sk_c11
| X0 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_1970]) ).
cnf(c_3492,plain,
( inverse(sk_c2) != sk_c10
| sk_c9 != sP18_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_681,c_688]) ).
cnf(c_3517,plain,
( sk_c10 != sP17_iProver_def
| sk_c9 != sP18_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3492,c_680]) ).
cnf(c_3590,plain,
( inverse(sk_c10) != sP6_iProver_def
| X0 != sP6_iProver_def
| X0 = inverse(sk_c10) ),
inference(instantiation,[status(thm)],[c_2421]) ).
cnf(c_3600,plain,
( inverse(sk_c7) != X0
| X1 != X0
| X1 = inverse(sk_c7) ),
inference(instantiation,[status(thm)],[c_2421]) ).
cnf(c_3622,plain,
( inverse(sk_c7) != sk_c10
| sk_c11 != sP11_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_674,c_689]) ).
cnf(c_3623,plain,
( inverse(sk_c2) != sk_c10
| sk_c11 != sP18_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_681,c_689]) ).
cnf(c_3648,plain,
( sk_c11 != sP18_iProver_def
| sk_c10 != sP17_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3623,c_680]) ).
cnf(c_3652,plain,
( sk_c11 != sP11_iProver_def
| sk_c10 != sP10_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3622,c_673]) ).
cnf(c_3823,plain,
( multiply(identity,sk_c9) != sk_c9
| sP6_iProver_def != sk_c9
| sP6_iProver_def = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_3088]) ).
cnf(c_3824,plain,
multiply(identity,sk_c9) = sk_c9,
inference(instantiation,[status(thm)],[c_110]) ).
cnf(c_3826,plain,
( X0 != X1
| sk_c9 != X1
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_3828,plain,
( sP6_iProver_def != sk_c9
| sP9_iProver_def != sk_c9
| sP6_iProver_def = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_3088]) ).
cnf(c_3903,plain,
( X0 != X1
| sk_c11 != X1
| X0 = sk_c11 ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_3926,plain,
multiply(sk_c7,multiply(sk_c10,X0)) = multiply(sP11_iProver_def,X0),
inference(superposition,[status(thm)],[c_674,c_112]) ).
cnf(c_3928,plain,
multiply(sk_c2,multiply(sk_c10,X0)) = multiply(sP18_iProver_def,X0),
inference(superposition,[status(thm)],[c_681,c_112]) ).
cnf(c_3933,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_111,c_112]) ).
cnf(c_3935,plain,
multiply(sP6_iProver_def,multiply(sk_c10,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1326,c_112]) ).
cnf(c_3936,plain,
multiply(sP10_iProver_def,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1327,c_112]) ).
cnf(c_3937,plain,
multiply(sP8_iProver_def,multiply(sk_c8,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1328,c_112]) ).
cnf(c_3938,plain,
multiply(sP19_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1329,c_112]) ).
cnf(c_3939,plain,
multiply(sP17_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1330,c_112]) ).
cnf(c_3940,plain,
multiply(sP15_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1331,c_112]) ).
cnf(c_3951,plain,
multiply(sP15_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3940,c_110]) ).
cnf(c_3952,plain,
multiply(sP17_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3939,c_110]) ).
cnf(c_3953,plain,
multiply(sP19_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3938,c_110]) ).
cnf(c_3954,plain,
multiply(sP8_iProver_def,multiply(sk_c8,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3937,c_110]) ).
cnf(c_3955,plain,
multiply(sP10_iProver_def,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3936,c_110]) ).
cnf(c_3956,plain,
multiply(sP6_iProver_def,multiply(sk_c10,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3935,c_110]) ).
cnf(c_3999,plain,
( sk_c9 != sk_c9
| sP6_iProver_def != sk_c9
| sk_c9 = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_3360]) ).
cnf(c_4000,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_750]) ).
cnf(c_4012,plain,
sk_c11 = sk_c11,
inference(instantiation,[status(thm)],[c_750]) ).
cnf(c_4176,plain,
( multiply(sk_c2,sk_c10) != sk_c9
| inverse(sk_c2) != sk_c10
| ~ sP1_iProver_def ),
inference(instantiation,[status(thm)],[c_688]) ).
cnf(c_4315,plain,
( X0 != X1
| sk_c9 != X1
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_4319,plain,
( X0 != X1
| sk_c11 != X1
| sk_c11 = X0 ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_5145,plain,
( multiply(sk_c8,sP8_iProver_def) = sP9_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1658,c_672]) ).
cnf(c_5244,plain,
( sP8_iProver_def = sP11_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1738,c_1658]) ).
cnf(c_5251,plain,
( multiply(X0,sP11_iProver_def) != sk_c10
| inverse(X0) != sk_c11
| ~ sP3_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1738,c_686]) ).
cnf(c_5316,plain,
( multiply(sk_c10,sP11_iProver_def) != sk_c10
| inverse(sk_c10) != sk_c11
| ~ sP3_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(instantiation,[status(thm)],[c_5251]) ).
cnf(c_5424,plain,
( sP6_iProver_def = sP9_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1754,c_1426]) ).
cnf(c_5550,plain,
( sP5_iProver_def = sP8_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1768,c_1658]) ).
cnf(c_5632,plain,
( inverse(sk_c7) != sP10_iProver_def
| inverse(sk_c2) != sP10_iProver_def
| inverse(sk_c7) = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_1723]) ).
cnf(c_5650,plain,
( sk_c10 != inverse(sk_c7)
| sP8_iProver_def != inverse(sk_c7)
| sk_c10 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_1616]) ).
cnf(c_5696,plain,
( multiply(sP6_iProver_def,sP17_iProver_def) = identity
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1927,c_1326]) ).
cnf(c_5698,plain,
( multiply(sk_c2,sP17_iProver_def) = sP18_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1927,c_681]) ).
cnf(c_5967,plain,
( multiply(sk_c8,sP8_iProver_def) = sP9_iProver_def
| sP14_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_2294,c_672]) ).
cnf(c_6229,plain,
( sP8_iProver_def = sP11_iProver_def
| sP14_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_2443,c_2294]) ).
cnf(c_6240,plain,
( multiply(X0,sP11_iProver_def) != sk_c10
| inverse(X0) != sk_c11
| ~ sP3_iProver_def
| sP14_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_2443,c_686]) ).
cnf(c_6308,plain,
( multiply(sk_c10,sP11_iProver_def) != sk_c10
| inverse(sk_c10) != sk_c11
| ~ sP3_iProver_def
| sP14_iProver_def = sP19_iProver_def ),
inference(instantiation,[status(thm)],[c_6240]) ).
cnf(c_6380,plain,
( sP6_iProver_def = sP9_iProver_def
| sP14_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_2480,c_1426]) ).
cnf(c_6393,plain,
( multiply(sk_c1,sP19_iProver_def) = sP20_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_2480,c_683]) ).
cnf(c_6655,plain,
( sP5_iProver_def = sP8_iProver_def
| sP14_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_2558,c_2294]) ).
cnf(c_6833,plain,
( multiply(sk_c8,sP8_iProver_def) = sP9_iProver_def
| sP17_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_2592,c_672]) ).
cnf(c_6959,plain,
( multiply(sk_c7,sP10_iProver_def) = sP11_iProver_def
| sP17_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_2797,c_674]) ).
cnf(c_7037,plain,
( sP6_iProver_def != sk_c9
| sP18_iProver_def != sk_c9
| sP6_iProver_def = sP18_iProver_def ),
inference(instantiation,[status(thm)],[c_3088]) ).
cnf(c_7187,plain,
( X0 != sk_c11
| sP19_iProver_def != sk_c11
| sP19_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_1877]) ).
cnf(c_7282,plain,
( inverse(sk_c7) != X0
| sP8_iProver_def != X0
| sP8_iProver_def = inverse(sk_c7) ),
inference(instantiation,[status(thm)],[c_3600]) ).
cnf(c_7309,plain,
( inverse(X0) != X1
| inverse(sk_c7) != X1
| inverse(X0) = inverse(sk_c7) ),
inference(instantiation,[status(thm)],[c_3600]) ).
cnf(c_7326,plain,
( sP6_iProver_def = sP9_iProver_def
| sP17_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_2984,c_1927]) ).
cnf(c_7343,plain,
( multiply(sP20_iProver_def,sk_c9) = sP5_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_2984,c_668]) ).
cnf(c_7534,plain,
( inverse(sk_c10) != sP6_iProver_def
| sP6_iProver_def != sP6_iProver_def
| sP6_iProver_def = inverse(sk_c10) ),
inference(instantiation,[status(thm)],[c_3084]) ).
cnf(c_7729,plain,
multiply(sP17_iProver_def,sP18_iProver_def) = sk_c10,
inference(superposition,[status(thm)],[c_681,c_3952]) ).
cnf(c_7806,plain,
multiply(sP19_iProver_def,sP20_iProver_def) = sk_c11,
inference(superposition,[status(thm)],[c_683,c_3953]) ).
cnf(c_7927,plain,
multiply(sP6_iProver_def,sP5_iProver_def) = sk_c9,
inference(superposition,[status(thm)],[c_668,c_3956]) ).
cnf(c_8513,plain,
( inverse(sk_c7) != inverse(sk_c2)
| sP8_iProver_def != inverse(sk_c2)
| inverse(sk_c7) = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_2637]) ).
cnf(c_10303,plain,
( X0 != sP9_iProver_def
| sP6_iProver_def != sP9_iProver_def
| X0 = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_1916]) ).
cnf(c_10304,plain,
( X0 != sP9_iProver_def
| sP6_iProver_def != sP9_iProver_def
| sP6_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_1814]) ).
cnf(c_10361,plain,
( sk_c10 != sP5_iProver_def
| sP8_iProver_def != sP5_iProver_def
| sk_c10 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_1616]) ).
cnf(c_10362,plain,
( X0 != sP5_iProver_def
| sP8_iProver_def != sP5_iProver_def
| X0 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_1970]) ).
cnf(c_10363,plain,
( X0 != sP5_iProver_def
| sP8_iProver_def != sP5_iProver_def
| sP8_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_1817]) ).
cnf(c_10364,plain,
( sk_c10 != sP5_iProver_def
| sP8_iProver_def != sP5_iProver_def
| sP8_iProver_def = sk_c10 ),
inference(instantiation,[status(thm)],[c_10363]) ).
cnf(c_10503,plain,
( X0 != sP11_iProver_def
| sP8_iProver_def != sP11_iProver_def
| X0 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_1970]) ).
cnf(c_10718,plain,
( sP5_iProver_def != sP8_iProver_def
| sP8_iProver_def != sP8_iProver_def
| sP8_iProver_def = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_3206]) ).
cnf(c_10768,plain,
( multiply(sP19_iProver_def,sP20_iProver_def) = sP16_iProver_def
| sk_c11 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1740,c_3953]) ).
cnf(c_10769,plain,
( sk_c11 = sP11_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10768,c_7806]) ).
cnf(c_10832,plain,
( multiply(sP19_iProver_def,sP20_iProver_def) = sP16_iProver_def
| sk_c11 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_1771,c_3953]) ).
cnf(c_10833,plain,
( sk_c11 = sP5_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10832,c_7806]) ).
cnf(c_10921,plain,
( multiply(sP17_iProver_def,sP18_iProver_def) = sP5_iProver_def
| sk_c11 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_732,c_1792]) ).
cnf(c_10929,plain,
( sk_c11 = sP8_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10921,c_7729]) ).
cnf(c_11055,plain,
( sk_c11 = sP8_iProver_def
| sP5_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_10929,c_744]) ).
cnf(c_11060,plain,
( sk_c11 = sP8_iProver_def
| sP5_iProver_def = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_10929,c_726]) ).
cnf(c_11062,plain,
( multiply(sP6_iProver_def,sP5_iProver_def) = identity
| sk_c11 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_10929,c_1326]) ).
cnf(c_11083,plain,
( sk_c11 = sP8_iProver_def
| sk_c9 = identity ),
inference(light_normalisation,[status(thm)],[c_11062,c_7927]) ).
cnf(c_11140,plain,
( inverse(sk_c10) != sP6_iProver_def
| sP18_iProver_def != sP6_iProver_def
| inverse(sk_c10) = sP18_iProver_def ),
inference(instantiation,[status(thm)],[c_1721]) ).
cnf(c_11142,plain,
( sk_c10 != sP18_iProver_def
| sP6_iProver_def != sP18_iProver_def
| sk_c10 = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_1614]) ).
cnf(c_11143,plain,
( X0 != sP18_iProver_def
| sP6_iProver_def != sP18_iProver_def
| X0 = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_1916]) ).
cnf(c_11237,plain,
( multiply(sk_c8,sP8_iProver_def) = sP9_iProver_def
| sP5_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_11055,c_672]) ).
cnf(c_11814,plain,
( multiply(sP17_iProver_def,sP18_iProver_def) = sP5_iProver_def
| sk_c10 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_734,c_1849]) ).
cnf(c_11824,plain,
( sk_c10 = sP5_iProver_def
| sk_c10 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_11814,c_7729]) ).
cnf(c_11930,plain,
( multiply(sk_c7,sP10_iProver_def) = sP11_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_11824,c_674]) ).
cnf(c_12009,plain,
( sP14_iProver_def != sk_c11
| sP19_iProver_def != sk_c11
| sP19_iProver_def = sP14_iProver_def ),
inference(instantiation,[status(thm)],[c_7187]) ).
cnf(c_12026,plain,
( X0 != multiply(identity,sk_c9)
| sP6_iProver_def != multiply(identity,sk_c9)
| X0 = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_1916]) ).
cnf(c_12358,plain,
( multiply(sP17_iProver_def,sP18_iProver_def) = sP5_iProver_def
| sk_c11 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_735,c_1894]) ).
cnf(c_12369,plain,
( sk_c11 = sP11_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12358,c_7729]) ).
cnf(c_12395,plain,
( inverse(sk_c10) != sP6_iProver_def
| sk_c9 != sP6_iProver_def
| sk_c9 = inverse(sk_c10) ),
inference(instantiation,[status(thm)],[c_3590]) ).
cnf(c_12396,plain,
( sk_c9 != sP6_iProver_def
| sP6_iProver_def != sP6_iProver_def
| sP6_iProver_def = sk_c9 ),
inference(instantiation,[status(thm)],[c_3084]) ).
cnf(c_12398,plain,
( sk_c10 != sP6_iProver_def
| sk_c9 != sP6_iProver_def
| sk_c10 = sk_c9 ),
inference(instantiation,[status(thm)],[c_2427]) ).
cnf(c_12400,plain,
( X0 != sP6_iProver_def
| sk_c9 != sP6_iProver_def
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_4315]) ).
cnf(c_12471,plain,
( multiply(sP17_iProver_def,sP18_iProver_def) = sP17_iProver_def
| sk_c11 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_1944,c_3952]) ).
cnf(c_12472,plain,
( sk_c11 = sP5_iProver_def
| sk_c10 = sP17_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12471,c_7729]) ).
cnf(c_12597,plain,
( sk_c11 = sP11_iProver_def
| sP5_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_12369,c_747]) ).
cnf(c_12602,plain,
( sk_c11 = sP11_iProver_def
| sP5_iProver_def = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_12369,c_729]) ).
cnf(c_12606,plain,
( multiply(sP6_iProver_def,sP5_iProver_def) = identity
| sk_c11 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_12369,c_1326]) ).
cnf(c_12627,plain,
( sk_c11 = sP11_iProver_def
| sk_c9 = identity ),
inference(light_normalisation,[status(thm)],[c_12606,c_7927]) ).
cnf(c_12809,plain,
( sP5_iProver_def = sP20_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_12597,c_11055]) ).
cnf(c_12826,plain,
( multiply(X0,sP11_iProver_def) != sk_c10
| inverse(X0) != sk_c11
| ~ sP3_iProver_def
| sP5_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_12597,c_686]) ).
cnf(c_12897,plain,
( multiply(sk_c10,sP11_iProver_def) != sk_c10
| inverse(sk_c10) != sk_c11
| ~ sP3_iProver_def
| sP5_iProver_def = sP20_iProver_def ),
inference(instantiation,[status(thm)],[c_12826]) ).
cnf(c_12995,plain,
( sP5_iProver_def = sP17_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_12602,c_11060]) ).
cnf(c_13098,plain,
( X0 != sP6_iProver_def
| sk_c9 != sP6_iProver_def
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_3826]) ).
cnf(c_13112,plain,
( X0 != sP8_iProver_def
| sk_c11 != sP8_iProver_def
| X0 = sk_c11 ),
inference(instantiation,[status(thm)],[c_3903]) ).
cnf(c_13488,plain,
( multiply(sP17_iProver_def,sP18_iProver_def) = sP5_iProver_def
| sk_c11 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_737,c_1948]) ).
cnf(c_13501,plain,
( sk_c11 = sP5_iProver_def
| sk_c10 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_13488,c_7729]) ).
cnf(c_13642,plain,
( sk_c11 = sP5_iProver_def
| sP5_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_13501,c_749]) ).
cnf(c_13647,plain,
( sk_c11 = sP5_iProver_def
| sP5_iProver_def = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_13501,c_731]) ).
cnf(c_13652,plain,
( multiply(sP6_iProver_def,sP5_iProver_def) = identity
| sk_c11 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_13501,c_1326]) ).
cnf(c_13657,plain,
( inverse(sP5_iProver_def) = sP6_iProver_def
| sk_c11 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_13501,c_669]) ).
cnf(c_13673,plain,
( sk_c11 = sP5_iProver_def
| sk_c9 = identity ),
inference(light_normalisation,[status(thm)],[c_13652,c_7927]) ).
cnf(c_13753,plain,
( sP5_iProver_def = sP8_iProver_def
| sP5_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_13642,c_11055]) ).
cnf(c_13909,plain,
( sP5_iProver_def = sP8_iProver_def
| sP5_iProver_def = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_13647,c_11060]) ).
cnf(c_13927,plain,
( multiply(X0,sP5_iProver_def) != sk_c10
| inverse(X0) != sk_c11
| ~ sP3_iProver_def
| sP5_iProver_def = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_13647,c_686]) ).
cnf(c_13990,plain,
( multiply(sk_c10,sP5_iProver_def) != sk_c10
| inverse(sk_c10) != sk_c11
| ~ sP3_iProver_def
| sP5_iProver_def = sP17_iProver_def ),
inference(instantiation,[status(thm)],[c_13927]) ).
cnf(c_14591,plain,
( multiply(sP6_iProver_def,sP5_iProver_def) = sP18_iProver_def
| sk_c11 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_2258,c_3956]) ).
cnf(c_14592,plain,
( sk_c11 = sP5_iProver_def
| sk_c9 = sP18_iProver_def ),
inference(light_normalisation,[status(thm)],[c_14591,c_7927]) ).
cnf(c_15023,plain,
( multiply(sP19_iProver_def,sP20_iProver_def) = sP19_iProver_def
| sk_c11 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_2445,c_3953]) ).
cnf(c_15024,plain,
( sk_c11 = sP11_iProver_def
| sk_c11 = sP19_iProver_def ),
inference(light_normalisation,[status(thm)],[c_15023,c_7806]) ).
cnf(c_15103,plain,
( multiply(sP19_iProver_def,sP20_iProver_def) = sP19_iProver_def
| sk_c11 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_2561,c_3953]) ).
cnf(c_15104,plain,
( sk_c11 = sP5_iProver_def
| sk_c11 = sP19_iProver_def ),
inference(light_normalisation,[status(thm)],[c_15103,c_7806]) ).
cnf(c_15825,plain,
( sk_c11 = sP8_iProver_def
| identity = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_11083,c_732]) ).
cnf(c_16150,plain,
( multiply(sk_c8,sP8_iProver_def) = sP9_iProver_def
| identity = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_15825,c_672]) ).
cnf(c_16275,plain,
( multiply(sP17_iProver_def,sP18_iProver_def) = sP20_iProver_def
| sk_c11 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_2870,c_3952]) ).
cnf(c_16276,plain,
( sk_c11 = sP11_iProver_def
| sk_c10 = sP20_iProver_def ),
inference(light_normalisation,[status(thm)],[c_16275,c_7729]) ).
cnf(c_16491,plain,
( multiply(sP17_iProver_def,sP18_iProver_def) = sP20_iProver_def
| sk_c11 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_3049,c_3952]) ).
cnf(c_16492,plain,
( sk_c11 = sP5_iProver_def
| sk_c10 = sP20_iProver_def ),
inference(light_normalisation,[status(thm)],[c_16491,c_7729]) ).
cnf(c_16787,plain,
( sk_c11 = sP11_iProver_def
| identity = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_12627,c_735]) ).
cnf(c_17018,plain,
( identity = sP18_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_16787,c_15825]) ).
cnf(c_17469,plain,
( X0 != sP8_iProver_def
| sk_c11 != sP8_iProver_def
| sk_c11 = X0 ),
inference(instantiation,[status(thm)],[c_4319]) ).
cnf(c_17470,plain,
( sk_c11 != sP8_iProver_def
| sk_c10 != sP8_iProver_def
| sk_c11 = sk_c10 ),
inference(instantiation,[status(thm)],[c_17469]) ).
cnf(c_17482,plain,
( X0 != sk_c11
| sk_c11 != sk_c11
| sk_c11 = X0 ),
inference(instantiation,[status(thm)],[c_4319]) ).
cnf(c_17483,plain,
( sk_c11 != sk_c11
| sk_c10 != sk_c11
| sk_c11 = sk_c10 ),
inference(instantiation,[status(thm)],[c_17482]) ).
cnf(c_18076,plain,
( sk_c11 = sP5_iProver_def
| identity = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_13673,c_737]) ).
cnf(c_18419,plain,
( identity = sP18_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_18076,c_15825]) ).
cnf(c_22695,plain,
( inverse(sk_c2) != sP17_iProver_def
| sP10_iProver_def != sP17_iProver_def
| inverse(sk_c2) = sP10_iProver_def ),
inference(instantiation,[status(thm)],[c_1727]) ).
cnf(c_22917,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_3933,c_110]) ).
cnf(c_22966,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_110,c_22917]) ).
cnf(c_22967,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_111,c_22917]) ).
cnf(c_22988,plain,
multiply(inverse(sP10_iProver_def),identity) = sk_c7,
inference(superposition,[status(thm)],[c_1327,c_22917]) ).
cnf(c_22991,plain,
multiply(inverse(sP17_iProver_def),identity) = sk_c2,
inference(superposition,[status(thm)],[c_1330,c_22917]) ).
cnf(c_23164,plain,
multiply(inverse(sP6_iProver_def),X0) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_3956,c_22917]) ).
cnf(c_23165,plain,
multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_3955,c_22917]) ).
cnf(c_23166,plain,
multiply(inverse(sP8_iProver_def),X0) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_3954,c_22917]) ).
cnf(c_23167,plain,
multiply(inverse(sP19_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_3953,c_22917]) ).
cnf(c_23168,plain,
multiply(inverse(sP17_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_3952,c_22917]) ).
cnf(c_23169,plain,
multiply(inverse(sP15_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_3951,c_22917]) ).
cnf(c_23230,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_22917,c_22917]) ).
cnf(c_23747,plain,
multiply(identity,identity) = identity,
inference(instantiation,[status(thm)],[c_110]) ).
cnf(c_23752,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_750]) ).
cnf(c_24058,plain,
( inverse(sk_c7) != inverse(sk_c2)
| sP8_iProver_def != inverse(sk_c2)
| sP8_iProver_def = inverse(sk_c7) ),
inference(instantiation,[status(thm)],[c_7282]) ).
cnf(c_24325,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_22967,c_23230]) ).
cnf(c_24352,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_24325,c_22966]) ).
cnf(c_24445,plain,
( multiply(X0,inverse(identity)) != inverse(X0)
| inverse(multiply(X0,identity)) != identity
| multiply(inverse(identity),sk_c10) != sk_c11
| multiply(identity,inverse(identity)) != sk_c11
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_24352,c_685]) ).
cnf(c_24453,plain,
( multiply(identity,sk_c10) != sk_c11
| multiply(identity,identity) != sk_c11
| inverse(X0) != X0
| inverse(X0) != identity
| ~ sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_24445,c_24325,c_24352]) ).
cnf(c_24459,plain,
( multiply(identity,sk_c10) != sk_c11
| multiply(identity,identity) != sk_c11
| inverse(sk_c10) != sk_c10
| inverse(sk_c10) != identity
| ~ sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_24453]) ).
cnf(c_25339,plain,
multiply(sk_c10,sP6_iProver_def) = identity,
inference(superposition,[status(thm)],[c_23164,c_111]) ).
cnf(c_25344,plain,
multiply(sk_c10,identity) = inverse(sP6_iProver_def),
inference(superposition,[status(thm)],[c_23164,c_24325]) ).
cnf(c_25364,plain,
( sk_c10 = sP20_iProver_def
| identity = sP5_iProver_def ),
inference(demodulation,[status(thm)],[c_2995,c_25339]) ).
cnf(c_25365,plain,
( sk_c11 = sP19_iProver_def
| identity = sP5_iProver_def ),
inference(demodulation,[status(thm)],[c_2490,c_25339]) ).
cnf(c_25366,plain,
( sk_c10 = sP17_iProver_def
| identity = sP5_iProver_def ),
inference(demodulation,[status(thm)],[c_1930,c_25339]) ).
cnf(c_25367,plain,
( sk_c11 = sP16_iProver_def
| identity = sP5_iProver_def ),
inference(demodulation,[status(thm)],[c_1756,c_25339]) ).
cnf(c_25452,plain,
( multiply(sP10_iProver_def,sP6_iProver_def) = identity
| sk_c11 = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_740,c_25339]) ).
cnf(c_25455,plain,
( multiply(sP17_iProver_def,sP6_iProver_def) = identity
| sk_c10 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_728,c_25339]) ).
cnf(c_25457,plain,
( multiply(sP10_iProver_def,sP6_iProver_def) = identity
| sk_c11 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_722,c_25339]) ).
cnf(c_25458,plain,
( multiply(sP10_iProver_def,sP6_iProver_def) = identity
| sk_c11 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_710,c_25339]) ).
cnf(c_25462,plain,
multiply(sk_c2,identity) = multiply(sP18_iProver_def,sP6_iProver_def),
inference(superposition,[status(thm)],[c_25339,c_3928]) ).
cnf(c_25463,plain,
multiply(sk_c7,identity) = multiply(sP11_iProver_def,sP6_iProver_def),
inference(superposition,[status(thm)],[c_25339,c_3926]) ).
cnf(c_25779,plain,
( multiply(inverse(sP10_iProver_def),identity) = sP6_iProver_def
| sk_c11 = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_25452,c_22917]) ).
cnf(c_25784,plain,
( sk_c11 = sP19_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_25779,c_22988]) ).
cnf(c_26056,plain,
( multiply(sP20_iProver_def,sk_c9) = sP5_iProver_def
| identity = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_25364,c_668]) ).
cnf(c_26255,plain,
( multiply(sk_c1,sP19_iProver_def) = sP20_iProver_def
| identity = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_25365,c_683]) ).
cnf(c_26495,plain,
inverse(sP6_iProver_def) = sk_c10,
inference(demodulation,[status(thm)],[c_25344,c_24325]) ).
cnf(c_26913,plain,
( multiply(sk_c2,sP17_iProver_def) = sP18_iProver_def
| identity = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_25366,c_681]) ).
cnf(c_27031,plain,
( X0 != inverse(sk_c10)
| sP6_iProver_def != inverse(sk_c10)
| sP6_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_1814]) ).
cnf(c_27032,plain,
( sk_c10 != inverse(sk_c10)
| sP6_iProver_def != inverse(sk_c10)
| sP6_iProver_def = sk_c10 ),
inference(instantiation,[status(thm)],[c_27031]) ).
cnf(c_27380,plain,
( multiply(inverse(sP17_iProver_def),identity) = sP6_iProver_def
| sk_c10 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_25455,c_22917]) ).
cnf(c_27382,plain,
( sk_c10 = sP10_iProver_def
| sk_c2 = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_27380,c_22991]) ).
cnf(c_27406,plain,
( multiply(inverse(sP10_iProver_def),identity) = sP6_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_25457,c_22917]) ).
cnf(c_27411,plain,
( sk_c11 = sP16_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_27406,c_22988]) ).
cnf(c_27422,plain,
( multiply(inverse(sP10_iProver_def),identity) = sP6_iProver_def
| sk_c11 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_25458,c_22917]) ).
cnf(c_27427,plain,
( sk_c11 = sP14_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_27422,c_22988]) ).
cnf(c_28080,plain,
multiply(sP18_iProver_def,sP6_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_25462,c_24325]) ).
cnf(c_28333,plain,
multiply(sP11_iProver_def,sP6_iProver_def) = sk_c7,
inference(demodulation,[status(thm)],[c_25463,c_24325]) ).
cnf(c_28366,plain,
( multiply(sP6_iProver_def,sk_c10) = sP11_iProver_def
| sk_c11 = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_25784,c_674]) ).
cnf(c_28369,plain,
( sk_c11 = sP19_iProver_def
| identity = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_28366,c_1326]) ).
cnf(c_28494,plain,
( sP6_iProver_def != sk_c11
| sP8_iProver_def != sk_c11
| sP8_iProver_def = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_3210]) ).
cnf(c_28495,plain,
( inverse(sk_c10) != sP6_iProver_def
| sP8_iProver_def != sP6_iProver_def
| sP8_iProver_def = inverse(sk_c10) ),
inference(instantiation,[status(thm)],[c_3590]) ).
cnf(c_28766,plain,
( multiply(sk_c1,sP19_iProver_def) = sP20_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_28369,c_683]) ).
cnf(c_29145,plain,
( multiply(sP6_iProver_def,sk_c10) = sP18_iProver_def
| sk_c10 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_27382,c_681]) ).
cnf(c_29148,plain,
( sk_c10 = sP10_iProver_def
| identity = sP18_iProver_def ),
inference(light_normalisation,[status(thm)],[c_29145,c_1326]) ).
cnf(c_29329,plain,
( inverse(sP10_iProver_def) = sP6_iProver_def
| identity = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_29148,c_669]) ).
cnf(c_29415,plain,
( inverse(X0) != sk_c11
| sP8_iProver_def != sk_c11
| inverse(X0) = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_3441]) ).
cnf(c_29416,plain,
( inverse(X0) != sP8_iProver_def
| inverse(sk_c7) != sP8_iProver_def
| inverse(X0) = inverse(sk_c7) ),
inference(instantiation,[status(thm)],[c_7309]) ).
cnf(c_29421,plain,
( inverse(X0) != sP8_iProver_def
| X1 != sP8_iProver_def
| inverse(X0) = X1 ),
inference(instantiation,[status(thm)],[c_1514]) ).
cnf(c_29422,plain,
( inverse(X0) != sP8_iProver_def
| sk_c10 != sP8_iProver_def
| inverse(X0) = sk_c10 ),
inference(instantiation,[status(thm)],[c_1482]) ).
cnf(c_29423,plain,
( inverse(sk_c10) != sk_c11
| sP8_iProver_def != sk_c11
| inverse(sk_c10) = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_29415]) ).
cnf(c_29424,plain,
( inverse(sk_c10) != sP8_iProver_def
| sk_c10 != sP8_iProver_def
| inverse(sk_c10) = sk_c10 ),
inference(instantiation,[status(thm)],[c_29422]) ).
cnf(c_29428,plain,
( inverse(sk_c10) != sP8_iProver_def
| inverse(sk_c7) != sP8_iProver_def
| inverse(sk_c10) = inverse(sk_c7) ),
inference(instantiation,[status(thm)],[c_29416]) ).
cnf(c_29462,plain,
( multiply(sk_c7,sk_c10) != sP8_iProver_def
| sk_c9 != sP8_iProver_def
| multiply(sk_c7,sk_c10) = sk_c9 ),
inference(instantiation,[status(thm)],[c_2425]) ).
cnf(c_29634,plain,
( multiply(sP6_iProver_def,sk_c10) = sP11_iProver_def
| sk_c11 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_27411,c_674]) ).
cnf(c_29637,plain,
( sk_c11 = sP16_iProver_def
| identity = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_29634,c_1326]) ).
cnf(c_29680,plain,
( multiply(sP6_iProver_def,sk_c10) = sP11_iProver_def
| sk_c11 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_27427,c_674]) ).
cnf(c_29683,plain,
( sk_c11 = sP14_iProver_def
| identity = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_29680,c_1326]) ).
cnf(c_30100,plain,
( identity = sP11_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_29683,c_29637]) ).
cnf(c_30101,plain,
( identity = sP11_iProver_def
| sP14_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_29683,c_28369]) ).
cnf(c_30837,plain,
( multiply(X0,sP11_iProver_def) = X0
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_30100,c_24325]) ).
cnf(c_30841,plain,
( multiply(sP11_iProver_def,X0) = X0
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_30100,c_110]) ).
cnf(c_30858,plain,
( multiply(sk_c10,sP11_iProver_def) = sk_c10
| sP14_iProver_def = sP16_iProver_def ),
inference(instantiation,[status(thm)],[c_30837]) ).
cnf(c_30879,plain,
( multiply(X0,sP11_iProver_def) = X0
| sP14_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_30101,c_24325]) ).
cnf(c_30883,plain,
( multiply(sP11_iProver_def,X0) = X0
| sP14_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_30101,c_110]) ).
cnf(c_30900,plain,
( multiply(sk_c10,sP11_iProver_def) = sk_c10
| sP14_iProver_def = sP19_iProver_def ),
inference(instantiation,[status(thm)],[c_30879]) ).
cnf(c_30916,plain,
multiply(sk_c7,sP10_iProver_def) = identity,
inference(superposition,[status(thm)],[c_23165,c_111]) ).
cnf(c_30921,plain,
multiply(sk_c7,identity) = inverse(sP10_iProver_def),
inference(superposition,[status(thm)],[c_23165,c_24325]) ).
cnf(c_30957,plain,
( sk_c10 = sP5_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_11930,c_30916]) ).
cnf(c_30958,plain,
( identity = sP11_iProver_def
| sP17_iProver_def = sP20_iProver_def ),
inference(demodulation,[status(thm)],[c_6959,c_30916]) ).
cnf(c_31121,plain,
( sk_c10 = sP10_iProver_def
| identity = sP11_iProver_def
| sP5_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_30957,c_746]) ).
cnf(c_31129,plain,
( multiply(sP6_iProver_def,sP5_iProver_def) = identity
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_30957,c_1326]) ).
cnf(c_31149,plain,
( sk_c9 = identity
| identity = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_31129,c_7927]) ).
cnf(c_31524,plain,
inverse(sP10_iProver_def) = sk_c7,
inference(demodulation,[status(thm)],[c_30921,c_24325]) ).
cnf(c_31526,plain,
( sk_c7 = sP6_iProver_def
| identity = sP18_iProver_def ),
inference(demodulation,[status(thm)],[c_29329,c_31524]) ).
cnf(c_31977,plain,
( multiply(sP6_iProver_def,sk_c10) = sP11_iProver_def
| identity = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_31526,c_674]) ).
cnf(c_31980,plain,
( identity = sP11_iProver_def
| identity = sP18_iProver_def ),
inference(light_normalisation,[status(thm)],[c_31977,c_1326]) ).
cnf(c_32142,plain,
( multiply(sP18_iProver_def,X0) = X0
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_31980,c_110]) ).
cnf(c_32386,plain,
multiply(sk_c8,sP8_iProver_def) = identity,
inference(superposition,[status(thm)],[c_23166,c_111]) ).
cnf(c_32412,plain,
( identity = sP9_iProver_def
| sP5_iProver_def = sP20_iProver_def ),
inference(demodulation,[status(thm)],[c_11237,c_32386]) ).
cnf(c_32413,plain,
( identity = sP9_iProver_def
| sP17_iProver_def = sP20_iProver_def ),
inference(demodulation,[status(thm)],[c_6833,c_32386]) ).
cnf(c_32414,plain,
( identity = sP9_iProver_def
| sP14_iProver_def = sP19_iProver_def ),
inference(demodulation,[status(thm)],[c_5967,c_32386]) ).
cnf(c_32416,plain,
( identity = sP9_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_5145,c_32386]) ).
cnf(c_32882,plain,
( sP9_iProver_def = sP11_iProver_def
| sP17_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_32413,c_30958]) ).
cnf(c_32983,plain,
( sP9_iProver_def = sP11_iProver_def
| sP14_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_32414,c_30101]) ).
cnf(c_33309,plain,
( sP9_iProver_def = sP11_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_32416,c_30100]) ).
cnf(c_34067,plain,
( identity = sP9_iProver_def
| identity = sP18_iProver_def ),
inference(light_normalisation,[status(thm)],[c_16150,c_32386]) ).
cnf(c_34857,plain,
multiply(sk_c1,sP19_iProver_def) = identity,
inference(superposition,[status(thm)],[c_23167,c_111]) ).
cnf(c_34906,plain,
( identity = sP20_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(demodulation,[status(thm)],[c_6393,c_34857]) ).
cnf(c_34907,plain,
( sk_c11 = sP5_iProver_def
| identity = sP20_iProver_def ),
inference(demodulation,[status(thm)],[c_2561,c_34857]) ).
cnf(c_34908,plain,
( sk_c11 = sP11_iProver_def
| identity = sP20_iProver_def ),
inference(demodulation,[status(thm)],[c_2445,c_34857]) ).
cnf(c_34909,plain,
( sk_c11 = sP8_iProver_def
| identity = sP20_iProver_def ),
inference(demodulation,[status(thm)],[c_2295,c_34857]) ).
cnf(c_35145,plain,
( multiply(sP20_iProver_def,X0) = X0
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_34906,c_110]) ).
cnf(c_35676,plain,
( identity = sP20_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_34909,c_34908]) ).
cnf(c_35677,plain,
( identity = sP20_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_34909,c_34907]) ).
cnf(c_35729,plain,
( multiply(sk_c8,sP8_iProver_def) = sP9_iProver_def
| identity = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_34909,c_672]) ).
cnf(c_35734,plain,
( identity = sP9_iProver_def
| identity = sP20_iProver_def ),
inference(light_normalisation,[status(thm)],[c_35729,c_32386]) ).
cnf(c_36330,plain,
( X0 != sP8_iProver_def
| sk_c9 != sP8_iProver_def
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_4315]) ).
cnf(c_36332,plain,
( sk_c10 != sP8_iProver_def
| sk_c9 != sP8_iProver_def
| sk_c9 = sk_c10 ),
inference(instantiation,[status(thm)],[c_36330]) ).
cnf(c_36423,plain,
( sP8_iProver_def = sP11_iProver_def
| sP18_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_35676,c_17018]) ).
cnf(c_36611,plain,
( identity = sP9_iProver_def
| sP18_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_35734,c_34067]) ).
cnf(c_37048,plain,
( sP5_iProver_def = sP8_iProver_def
| sP18_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_35677,c_18419]) ).
cnf(c_37101,plain,
( sP6_iProver_def != sP9_iProver_def
| sP9_iProver_def != sP9_iProver_def
| sP9_iProver_def = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_10303]) ).
cnf(c_37102,plain,
sP9_iProver_def = sP9_iProver_def,
inference(instantiation,[status(thm)],[c_750]) ).
cnf(c_37692,plain,
( sP8_iProver_def != sP11_iProver_def
| sP11_iProver_def != sP11_iProver_def
| sP11_iProver_def = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_10503]) ).
cnf(c_38039,plain,
( sP6_iProver_def != sP18_iProver_def
| sP18_iProver_def != sP18_iProver_def
| sP18_iProver_def = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_11143]) ).
cnf(c_38040,plain,
sP18_iProver_def = sP18_iProver_def,
inference(instantiation,[status(thm)],[c_750]) ).
cnf(c_38711,plain,
( sk_c11 != X0
| sP5_iProver_def != X0
| sP5_iProver_def = sk_c11 ),
inference(instantiation,[status(thm)],[c_3903]) ).
cnf(c_38713,plain,
( sk_c11 != X0
| sP11_iProver_def != X0
| sP11_iProver_def = sk_c11 ),
inference(instantiation,[status(thm)],[c_3903]) ).
cnf(c_38752,plain,
( multiply(sk_c7,sk_c10) != sk_c11
| sk_c9 != sk_c11
| multiply(sk_c7,sk_c10) = sk_c9 ),
inference(instantiation,[status(thm)],[c_2425]) ).
cnf(c_39986,plain,
( sk_c10 != inverse(sk_c10)
| sk_c9 != inverse(sk_c10)
| sk_c10 = sk_c9 ),
inference(instantiation,[status(thm)],[c_2427]) ).
cnf(c_40754,plain,
( identity = sP5_iProver_def
| identity = sP20_iProver_def ),
inference(light_normalisation,[status(thm)],[c_26255,c_34857]) ).
cnf(c_40813,plain,
( multiply(sP20_iProver_def,X0) = X0
| identity = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_40754,c_110]) ).
cnf(c_41449,plain,
( multiply(X0,X1) != multiply(identity,sk_c9)
| sP6_iProver_def != multiply(identity,sk_c9)
| multiply(X0,X1) = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_12026]) ).
cnf(c_41450,plain,
( X0 != identity
| X1 != sk_c9
| multiply(X0,X1) = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_752]) ).
cnf(c_41451,plain,
( multiply(sk_c10,sk_c10) != multiply(identity,sk_c9)
| sP6_iProver_def != multiply(identity,sk_c9)
| multiply(sk_c10,sk_c10) = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_41449]) ).
cnf(c_41452,plain,
( sk_c10 != sk_c9
| sk_c10 != identity
| multiply(sk_c10,sk_c10) = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_41450]) ).
cnf(c_41987,plain,
multiply(sk_c2,sP17_iProver_def) = identity,
inference(superposition,[status(thm)],[c_23168,c_111]) ).
cnf(c_42034,plain,
( identity = sP5_iProver_def
| identity = sP18_iProver_def ),
inference(demodulation,[status(thm)],[c_26913,c_41987]) ).
cnf(c_42035,plain,
( identity = sP18_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(demodulation,[status(thm)],[c_5698,c_41987]) ).
cnf(c_42236,plain,
( identity = sP5_iProver_def
| sP18_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_42034,c_40754]) ).
cnf(c_42412,plain,
( sP6_iProver_def = sP9_iProver_def
| sP18_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_42035,c_34906]) ).
cnf(c_42494,plain,
( sk_c9 != sP5_iProver_def
| sP8_iProver_def != sP5_iProver_def
| sk_c9 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_10362]) ).
cnf(c_42757,plain,
( sk_c9 != sP6_iProver_def
| sP18_iProver_def != sP6_iProver_def
| sP18_iProver_def = sk_c9 ),
inference(instantiation,[status(thm)],[c_13098]) ).
cnf(c_42769,plain,
( sk_c11 != sP8_iProver_def
| sP5_iProver_def != sP8_iProver_def
| sP5_iProver_def = sk_c11 ),
inference(instantiation,[status(thm)],[c_13112]) ).
cnf(c_42770,plain,
( sk_c11 != sP8_iProver_def
| sP11_iProver_def != sP8_iProver_def
| sP11_iProver_def = sk_c11 ),
inference(instantiation,[status(thm)],[c_13112]) ).
cnf(c_42933,plain,
( sP6_iProver_def = sP9_iProver_def
| sP17_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_42412,c_7326]) ).
cnf(c_43117,plain,
( sk_c11 != sP6_iProver_def
| sk_c9 != sP6_iProver_def
| sk_c11 = sk_c9 ),
inference(instantiation,[status(thm)],[c_13098]) ).
cnf(c_43118,plain,
( sk_c11 != sP6_iProver_def
| sk_c9 != sP6_iProver_def
| sk_c9 = sk_c11 ),
inference(instantiation,[status(thm)],[c_12400]) ).
cnf(c_43121,plain,
( inverse(sk_c10) != sP6_iProver_def
| sk_c11 != sP6_iProver_def
| inverse(sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_1721]) ).
cnf(c_43186,plain,
( sk_c11 != sP9_iProver_def
| sP6_iProver_def != sP9_iProver_def
| sP6_iProver_def = sk_c11 ),
inference(instantiation,[status(thm)],[c_10304]) ).
cnf(c_43187,plain,
( sk_c11 != sP9_iProver_def
| sP6_iProver_def != sP9_iProver_def
| sk_c11 = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_10303]) ).
cnf(c_43190,plain,
( sk_c11 != sP18_iProver_def
| sP6_iProver_def != sP18_iProver_def
| sk_c11 = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_11143]) ).
cnf(c_45091,plain,
( identity = sP11_iProver_def
| identity = sP20_iProver_def ),
inference(light_normalisation,[status(thm)],[c_28766,c_34857]) ).
cnf(c_45138,plain,
( identity = sP11_iProver_def
| sP18_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_45091,c_31980]) ).
cnf(c_45534,plain,
( sP9_iProver_def = sP11_iProver_def
| sP18_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_45138,c_36611]) ).
cnf(c_45557,plain,
( multiply(X0,sP11_iProver_def) = X0
| sP18_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_45138,c_24325]) ).
cnf(c_45561,plain,
( multiply(sP11_iProver_def,X0) = X0
| sP18_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_45138,c_110]) ).
cnf(c_45613,plain,
( multiply(sk_c10,sP11_iProver_def) = sk_c10
| sP18_iProver_def = sP20_iProver_def ),
inference(instantiation,[status(thm)],[c_45557]) ).
cnf(c_45667,plain,
( inverse(X0) != X1
| identity != X1
| inverse(X0) = identity ),
inference(instantiation,[status(thm)],[c_1514]) ).
cnf(c_45675,plain,
( inverse(sk_c10) != sk_c10
| identity != sk_c10
| inverse(sk_c10) = identity ),
inference(instantiation,[status(thm)],[c_45667]) ).
cnf(c_46691,plain,
multiply(sk_c3,sP15_iProver_def) = identity,
inference(superposition,[status(thm)],[c_23169,c_111]) ).
cnf(c_46732,plain,
( sk_c11 = sP5_iProver_def
| identity = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_1628,c_46691]) ).
cnf(c_46733,plain,
( sk_c9 = sP6_iProver_def
| identity = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_1594,c_46691]) ).
cnf(c_46734,plain,
( sk_c11 = sP11_iProver_def
| identity = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_1564,c_46691]) ).
cnf(c_46735,plain,
( sk_c10 = sP10_iProver_def
| identity = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_1534,c_46691]) ).
cnf(c_46736,plain,
( sk_c9 = sP9_iProver_def
| identity = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_1493,c_46691]) ).
cnf(c_46737,plain,
( sk_c11 = sP8_iProver_def
| identity = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_1453,c_46691]) ).
cnf(c_47261,plain,
( multiply(sk_c10,sP6_iProver_def) = sP5_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_46733,c_668]) ).
cnf(c_47262,plain,
( identity = sP5_iProver_def
| identity = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_47261,c_25339]) ).
cnf(c_53116,plain,
( multiply(sk_c7,sP10_iProver_def) = sP11_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_46735,c_674]) ).
cnf(c_53124,plain,
( identity = sP11_iProver_def
| identity = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_53116,c_30916]) ).
cnf(c_53221,plain,
( identity = sP16_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_46736,c_46733]) ).
cnf(c_53358,plain,
( identity = sP16_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_46737,c_46734]) ).
cnf(c_53359,plain,
( identity = sP16_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_46737,c_46732]) ).
cnf(c_53413,plain,
( multiply(sk_c8,sP8_iProver_def) = sP9_iProver_def
| identity = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_46737,c_672]) ).
cnf(c_53418,plain,
( identity = sP9_iProver_def
| identity = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_53413,c_32386]) ).
cnf(c_53510,plain,
( identity = sP5_iProver_def
| sP16_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_47262,c_40754]) ).
cnf(c_54276,plain,
( identity = sP11_iProver_def
| sP16_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_53124,c_45091]) ).
cnf(c_54431,plain,
( sk_c10 != sP14_iProver_def
| sP19_iProver_def != sP14_iProver_def
| sk_c10 = sP19_iProver_def ),
inference(instantiation,[status(thm)],[c_1688]) ).
cnf(c_54489,plain,
( identity = sP9_iProver_def
| sP16_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_53418,c_35734]) ).
cnf(c_54975,plain,
( sP6_iProver_def = sP9_iProver_def
| sP16_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_53221,c_34906]) ).
cnf(c_55106,plain,
( sP8_iProver_def = sP11_iProver_def
| sP16_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_53358,c_35676]) ).
cnf(c_55302,plain,
( X0 != sP19_iProver_def
| sP8_iProver_def != sP19_iProver_def
| sP8_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_1817]) ).
cnf(c_55438,plain,
( sP5_iProver_def = sP8_iProver_def
| sP16_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_53359,c_35677]) ).
cnf(c_56709,plain,
( sk_c10 != inverse(X0)
| sP8_iProver_def != inverse(X0)
| sk_c10 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_1616]) ).
cnf(c_56711,plain,
( sk_c10 != inverse(sk_c10)
| sP8_iProver_def != inverse(sk_c10)
| sk_c10 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_56709]) ).
cnf(c_57356,plain,
( multiply(sP11_iProver_def,X0) = X0
| sP16_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_54276,c_110]) ).
cnf(c_57647,plain,
multiply(sk_c7,sk_c10) = multiply(sk_c7,sk_c10),
inference(instantiation,[status(thm)],[c_750]) ).
cnf(c_57666,plain,
( sk_c11 != sP6_iProver_def
| sk_c10 != sP6_iProver_def
| sk_c10 = sk_c11 ),
inference(instantiation,[status(thm)],[c_2455]) ).
cnf(c_57671,plain,
( sk_c11 != sP19_iProver_def
| sk_c10 != sP19_iProver_def
| sk_c10 = sk_c11 ),
inference(instantiation,[status(thm)],[c_2455]) ).
cnf(c_57727,plain,
sP5_iProver_def = sP5_iProver_def,
inference(instantiation,[status(thm)],[c_750]) ).
cnf(c_57730,plain,
( inverse(X0) != sP5_iProver_def
| sP8_iProver_def != sP5_iProver_def
| inverse(X0) = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_10362]) ).
cnf(c_57733,plain,
( inverse(sk_c10) != sP5_iProver_def
| sP8_iProver_def != sP5_iProver_def
| inverse(sk_c10) = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_57730]) ).
cnf(c_57801,plain,
( inverse(sk_c10) != sP6_iProver_def
| sP5_iProver_def != sP6_iProver_def
| inverse(sk_c10) = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_1721]) ).
cnf(c_57802,plain,
( inverse(sk_c2) != sP5_iProver_def
| sP8_iProver_def != sP5_iProver_def
| sP8_iProver_def = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_10363]) ).
cnf(c_57804,plain,
( inverse(sk_c2) != sP17_iProver_def
| sP5_iProver_def != sP17_iProver_def
| inverse(sk_c2) = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_1727]) ).
cnf(c_57855,plain,
( sP9_iProver_def = sP11_iProver_def
| sP16_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_54489,c_54276]) ).
cnf(c_57981,plain,
( multiply(sk_c7,sk_c10) != sP11_iProver_def
| sP8_iProver_def != sP11_iProver_def
| multiply(sk_c7,sk_c10) = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_10503]) ).
cnf(c_58285,plain,
( sk_c7 = sP6_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_30841,c_28333]) ).
cnf(c_58449,plain,
( sk_c7 = sP6_iProver_def
| sP14_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_30883,c_28333]) ).
cnf(c_60677,plain,
( sk_c11 != sP19_iProver_def
| sP11_iProver_def != sP19_iProver_def
| sP11_iProver_def = sk_c11 ),
inference(instantiation,[status(thm)],[c_38713]) ).
cnf(c_60712,plain,
( multiply(sk_c2,sk_c10) != X0
| sk_c9 != X0
| multiply(sk_c2,sk_c10) = sk_c9 ),
inference(instantiation,[status(thm)],[c_3826]) ).
cnf(c_60713,plain,
( multiply(sk_c2,sk_c10) != sk_c10
| sk_c9 != sk_c10
| multiply(sk_c2,sk_c10) = sk_c9 ),
inference(instantiation,[status(thm)],[c_60712]) ).
cnf(c_60714,plain,
( sk_c9 != X0
| sP9_iProver_def != X0
| sP9_iProver_def = sk_c9 ),
inference(instantiation,[status(thm)],[c_3826]) ).
cnf(c_62428,plain,
( sk_c2 = sP6_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_32142,c_28080]) ).
cnf(c_62683,plain,
( inverse(X0) != sP8_iProver_def
| sk_c11 != sP8_iProver_def
| inverse(X0) = sk_c11 ),
inference(instantiation,[status(thm)],[c_29421]) ).
cnf(c_62684,plain,
( inverse(sk_c10) != sP8_iProver_def
| sk_c11 != sP8_iProver_def
| inverse(sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_62683]) ).
cnf(c_62774,plain,
( inverse(X0) != sP8_iProver_def
| sP11_iProver_def != sP8_iProver_def
| inverse(X0) = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_29421]) ).
cnf(c_62777,plain,
( inverse(sk_c10) != sP8_iProver_def
| sP11_iProver_def != sP8_iProver_def
| inverse(sk_c10) = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_62774]) ).
cnf(c_63277,plain,
( sk_c11 != sP19_iProver_def
| sP5_iProver_def != sP19_iProver_def
| sP5_iProver_def = sk_c11 ),
inference(instantiation,[status(thm)],[c_38711]) ).
cnf(c_64729,plain,
( inverse(sP6_iProver_def) = sP10_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_58285,c_673]) ).
cnf(c_64730,plain,
( sk_c10 = sP10_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_64729,c_26495]) ).
cnf(c_64896,plain,
( inverse(sP6_iProver_def) = sP10_iProver_def
| sP14_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_58449,c_673]) ).
cnf(c_64897,plain,
( sk_c10 = sP10_iProver_def
| sP14_iProver_def = sP19_iProver_def ),
inference(light_normalisation,[status(thm)],[c_64896,c_26495]) ).
cnf(c_67819,plain,
( sk_c9 = sP5_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_35145,c_7343]) ).
cnf(c_68585,plain,
( sk_c11 != sP5_iProver_def
| sP8_iProver_def != sP5_iProver_def
| sk_c11 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_10362]) ).
cnf(c_68739,plain,
( inverse(sP6_iProver_def) = sP17_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_62428,c_680]) ).
cnf(c_68740,plain,
( sk_c10 = sP17_iProver_def
| identity = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_68739,c_26495]) ).
cnf(c_68771,plain,
( sk_c11 != sP5_iProver_def
| sP8_iProver_def != sP5_iProver_def
| sP8_iProver_def = sk_c11 ),
inference(instantiation,[status(thm)],[c_10363]) ).
cnf(c_70311,plain,
( sk_c11 != X0
| sP8_iProver_def != X0
| sk_c11 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_1970]) ).
cnf(c_70312,plain,
( sk_c11 != sk_c10
| sP8_iProver_def != sk_c10
| sk_c11 = sP8_iProver_def ),
inference(instantiation,[status(thm)],[c_70311]) ).
cnf(c_70616,plain,
( multiply(sk_c6,sP10_iProver_def) = sP14_iProver_def
| sP14_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_64897,c_677]) ).
cnf(c_71897,plain,
( sk_c11 != sP19_iProver_def
| sP8_iProver_def != sP19_iProver_def
| sP8_iProver_def = sk_c11 ),
inference(instantiation,[status(thm)],[c_55302]) ).
cnf(c_72779,plain,
( sk_c9 = sP6_iProver_def
| sP5_iProver_def = sP18_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_67819,c_736]) ).
cnf(c_72782,plain,
( sk_c9 = sP9_iProver_def
| sP5_iProver_def = sP18_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_67819,c_733]) ).
cnf(c_73511,plain,
( multiply(sk_c7,sP10_iProver_def) = sP11_iProver_def
| identity = sP11_iProver_def
| sP5_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_31121,c_674]) ).
cnf(c_73524,plain,
( identity = sP11_iProver_def
| sP5_iProver_def = sP20_iProver_def ),
inference(light_normalisation,[status(thm)],[c_73511,c_30916]) ).
cnf(c_73679,plain,
( sP5_iProver_def = sP20_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_73524,c_32412]) ).
cnf(c_73689,plain,
( multiply(X0,sP11_iProver_def) = X0
| sP5_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_73524,c_24325]) ).
cnf(c_73693,plain,
( multiply(sP11_iProver_def,X0) = X0
| sP5_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_73524,c_110]) ).
cnf(c_73715,plain,
( multiply(sk_c10,sP11_iProver_def) = sk_c10
| sP5_iProver_def = sP20_iProver_def ),
inference(instantiation,[status(thm)],[c_73689]) ).
cnf(c_73971,plain,
( sk_c9 != sP9_iProver_def
| sP9_iProver_def != sP9_iProver_def
| sP9_iProver_def = sk_c9 ),
inference(instantiation,[status(thm)],[c_60714]) ).
cnf(c_74113,plain,
( identity = sP11_iProver_def
| sP5_iProver_def = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_68740,c_30957]) ).
cnf(c_74912,plain,
sP11_iProver_def = sP11_iProver_def,
inference(instantiation,[status(thm)],[c_750]) ).
cnf(c_75362,plain,
( sP5_iProver_def = sP17_iProver_def
| sP9_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_73679,c_32882]) ).
cnf(c_76705,plain,
( sk_c11 != sP6_iProver_def
| sP5_iProver_def != sP6_iProver_def
| sP5_iProver_def = sk_c11 ),
inference(instantiation,[status(thm)],[c_38711]) ).
cnf(c_77315,plain,
( sk_c9 = sP5_iProver_def
| identity = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_40813,c_26056]) ).
cnf(c_78337,plain,
( sk_c11 != sP5_iProver_def
| sP5_iProver_def != sP5_iProver_def
| sP5_iProver_def = sk_c11 ),
inference(instantiation,[status(thm)],[c_38711]) ).
cnf(c_78410,plain,
( identity = sP5_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_77315,c_31149]) ).
cnf(c_78435,plain,
( sk_c11 = sP5_iProver_def
| identity = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_77315,c_13673]) ).
cnf(c_78437,plain,
( sk_c11 = sP11_iProver_def
| identity = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_77315,c_12627]) ).
cnf(c_78442,plain,
( sk_c11 = sP8_iProver_def
| identity = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_77315,c_11083]) ).
cnf(c_78944,plain,
( identity = sP5_iProver_def
| sP11_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_78410,c_40754]) ).
cnf(c_79094,plain,
( identity = sP5_iProver_def
| sP5_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_78435,c_25365]) ).
cnf(c_79238,plain,
( identity = sP5_iProver_def
| sP11_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_78437,c_25365]) ).
cnf(c_80720,plain,
( identity = sP5_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_78442,c_78435]) ).
cnf(c_80730,plain,
( identity = sP5_iProver_def
| sP8_iProver_def = sP19_iProver_def ),
inference(superposition,[status(thm)],[c_78442,c_25365]) ).
cnf(c_80776,plain,
( multiply(sk_c8,sP8_iProver_def) = sP9_iProver_def
| identity = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_78442,c_672]) ).
cnf(c_80787,plain,
( identity = sP5_iProver_def
| identity = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_80776,c_32386]) ).
cnf(c_83563,plain,
( identity = sP5_iProver_def
| sP9_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_80787,c_47262]) ).
cnf(c_83651,plain,
( sk_c7 = sP6_iProver_def
| sP18_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_45561,c_28333]) ).
cnf(c_85086,plain,
( sk_c9 != sP6_iProver_def
| sP9_iProver_def != sP6_iProver_def
| sk_c9 = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_12400]) ).
cnf(c_86492,plain,
( sk_c9 != sP6_iProver_def
| sP5_iProver_def != sP6_iProver_def
| sP5_iProver_def = sk_c9 ),
inference(instantiation,[status(thm)],[c_13098]) ).
cnf(c_89978,plain,
( inverse(sP6_iProver_def) = sP10_iProver_def
| sP18_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_83651,c_673]) ).
cnf(c_89979,plain,
( sk_c10 = sP10_iProver_def
| sP18_iProver_def = sP20_iProver_def ),
inference(light_normalisation,[status(thm)],[c_89978,c_26495]) ).
cnf(c_91176,plain,
( sk_c11 = sP11_iProver_def
| sP10_iProver_def = sP20_iProver_def
| sP18_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_89979,c_747]) ).
cnf(c_91179,plain,
( sk_c11 = sP5_iProver_def
| sP10_iProver_def = sP17_iProver_def
| sP18_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_89979,c_731]) ).
cnf(c_91182,plain,
( sk_c11 = sP8_iProver_def
| sP10_iProver_def = sP17_iProver_def
| sP18_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_89979,c_726]) ).
cnf(c_92280,plain,
( sk_c7 = sP6_iProver_def
| sP16_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_57356,c_28333]) ).
cnf(c_93619,plain,
( multiply(inverse(X0),sk_c10) != X1
| sk_c11 != X1
| multiply(inverse(X0),sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_93620,plain,
( multiply(inverse(sk_c10),sk_c10) != identity
| sk_c11 != identity
| multiply(inverse(sk_c10),sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_93619]) ).
cnf(c_93626,plain,
( multiply(inverse(X0),sk_c10) != X1
| X2 != X1
| multiply(inverse(X0),sk_c10) = X2 ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_93628,plain,
( inverse(X0) != X1
| sk_c10 != X2
| multiply(inverse(X0),sk_c10) = multiply(X1,X2) ),
inference(instantiation,[status(thm)],[c_752]) ).
cnf(c_93631,plain,
( sk_c11 != X0
| identity != X0
| sk_c11 = identity ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_93635,plain,
( multiply(inverse(X0),sk_c10) != X1
| sk_c11 != X1
| sk_c11 = multiply(inverse(X0),sk_c10) ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_93639,plain,
( multiply(inverse(sk_c10),sk_c10) != identity
| X0 != identity
| multiply(inverse(sk_c10),sk_c10) = X0 ),
inference(instantiation,[status(thm)],[c_93626]) ).
cnf(c_93648,plain,
( multiply(X0,X1) != X2
| sk_c11 != X2
| sk_c11 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_93650,plain,
( multiply(inverse(X0),sk_c10) != multiply(X1,X2)
| X3 != multiply(X1,X2)
| multiply(inverse(X0),sk_c10) = X3 ),
inference(instantiation,[status(thm)],[c_93626]) ).
cnf(c_93654,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_93655,plain,
( multiply(inverse(sk_c10),sk_c10) != identity
| multiply(identity,identity) != identity
| multiply(inverse(sk_c10),sk_c10) = multiply(identity,identity) ),
inference(instantiation,[status(thm)],[c_93639]) ).
cnf(c_93660,plain,
( X0 != X1
| identity != X1
| X0 = identity ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_93663,plain,
( multiply(inverse(sk_c10),sk_c10) != identity
| sk_c11 != identity
| sk_c11 = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_93635]) ).
cnf(c_93669,plain,
( multiply(inverse(X0),sk_c10) != multiply(X1,X2)
| sk_c11 != multiply(X1,X2)
| sk_c11 = multiply(inverse(X0),sk_c10) ),
inference(instantiation,[status(thm)],[c_93635]) ).
cnf(c_93676,plain,
( multiply(inverse(X0),sk_c10) != X1
| X2 != X1
| X2 = multiply(inverse(X0),sk_c10) ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_93679,plain,
( X0 != inverse(X1)
| X2 != sk_c10
| multiply(X0,X2) = multiply(inverse(X1),sk_c10) ),
inference(instantiation,[status(thm)],[c_752]) ).
cnf(c_93681,plain,
( sk_c10 != inverse(sk_c10)
| sk_c10 != sk_c10
| multiply(sk_c10,sk_c10) = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_93679]) ).
cnf(c_93691,plain,
( multiply(X0,X1) != X2
| X3 != X2
| multiply(X0,X1) = X3 ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_93692,plain,
( multiply(X0,X1) != multiply(X2,X3)
| sk_c11 != multiply(X2,X3)
| sk_c11 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_93648]) ).
cnf(c_93693,plain,
( multiply(sk_c10,sk_c9) != sP5_iProver_def
| sk_c11 != sP5_iProver_def
| sk_c11 = multiply(sk_c10,sk_c9) ),
inference(instantiation,[status(thm)],[c_93648]) ).
cnf(c_93696,plain,
( multiply(sk_c7,sk_c10) != sP11_iProver_def
| sk_c11 != sP11_iProver_def
| sk_c11 = multiply(sk_c7,sk_c10) ),
inference(instantiation,[status(thm)],[c_93648]) ).
cnf(c_93698,plain,
( multiply(sk_c3,sk_c6) != sP16_iProver_def
| sk_c11 != sP16_iProver_def
| sk_c11 = multiply(sk_c3,sk_c6) ),
inference(instantiation,[status(thm)],[c_93648]) ).
cnf(c_93710,plain,
( multiply(X0,X1) != X2
| X3 != X2
| X3 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_93724,plain,
( multiply(inverse(X0),sk_c10) != multiply(sk_c10,sk_c9)
| sk_c11 != multiply(sk_c10,sk_c9)
| multiply(inverse(X0),sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_93650]) ).
cnf(c_93725,plain,
( multiply(inverse(sk_c10),sk_c10) != multiply(sk_c10,sk_c9)
| sk_c11 != multiply(sk_c10,sk_c9)
| multiply(inverse(sk_c10),sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_93724]) ).
cnf(c_93726,plain,
( multiply(inverse(X0),sk_c10) != multiply(sk_c10,sk_c9)
| sk_c11 != multiply(sk_c10,sk_c9)
| sk_c11 = multiply(inverse(X0),sk_c10) ),
inference(instantiation,[status(thm)],[c_93669]) ).
cnf(c_93728,plain,
( multiply(inverse(sk_c10),sk_c10) != multiply(sk_c10,sk_c9)
| sk_c11 != multiply(sk_c10,sk_c9)
| sk_c11 = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_93726]) ).
cnf(c_93767,plain,
( X0 != identity
| identity != identity
| identity = X0 ),
inference(instantiation,[status(thm)],[c_93654]) ).
cnf(c_93796,plain,
( multiply(inverse(sk_c10),sk_c10) != identity
| X0 != identity
| X0 = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_93676]) ).
cnf(c_93803,plain,
( multiply(inverse(X0),sk_c10) != multiply(X1,X2)
| X3 != multiply(X1,X2)
| X3 = multiply(inverse(X0),sk_c10) ),
inference(instantiation,[status(thm)],[c_93676]) ).
cnf(c_93824,plain,
( multiply(identity,X0) != X0
| X1 != X0
| multiply(identity,X0) = X1 ),
inference(instantiation,[status(thm)],[c_93691]) ).
cnf(c_93829,plain,
( multiply(X0,X1) != multiply(X0,X1)
| X2 != multiply(X0,X1)
| multiply(X0,X1) = X2 ),
inference(instantiation,[status(thm)],[c_93691]) ).
cnf(c_93834,plain,
( multiply(X0,X1) != multiply(X2,X3)
| X4 != multiply(X2,X3)
| multiply(X0,X1) = X4 ),
inference(instantiation,[status(thm)],[c_93691]) ).
cnf(c_93835,plain,
( multiply(sk_c10,sk_c9) != sP5_iProver_def
| X0 != sP5_iProver_def
| multiply(sk_c10,sk_c9) = X0 ),
inference(instantiation,[status(thm)],[c_93691]) ).
cnf(c_93836,plain,
( multiply(sk_c10,sk_c9) != sP5_iProver_def
| sk_c10 != sP5_iProver_def
| multiply(sk_c10,sk_c9) = sk_c10 ),
inference(instantiation,[status(thm)],[c_93835]) ).
cnf(c_93841,plain,
( multiply(sk_c7,sk_c10) != sP11_iProver_def
| X0 != sP11_iProver_def
| multiply(sk_c7,sk_c10) = X0 ),
inference(instantiation,[status(thm)],[c_93691]) ).
cnf(c_93845,plain,
( multiply(sk_c3,sk_c6) != sP16_iProver_def
| X0 != sP16_iProver_def
| multiply(sk_c3,sk_c6) = X0 ),
inference(instantiation,[status(thm)],[c_93691]) ).
cnf(c_93847,plain,
( multiply(sk_c2,sk_c10) != sP18_iProver_def
| X0 != sP18_iProver_def
| multiply(sk_c2,sk_c10) = X0 ),
inference(instantiation,[status(thm)],[c_93691]) ).
cnf(c_93848,plain,
( multiply(sk_c2,sk_c10) != sP18_iProver_def
| sk_c10 != sP18_iProver_def
| multiply(sk_c2,sk_c10) = sk_c10 ),
inference(instantiation,[status(thm)],[c_93847]) ).
cnf(c_93849,plain,
( multiply(sk_c1,sk_c11) != sP20_iProver_def
| X0 != sP20_iProver_def
| multiply(sk_c1,sk_c11) = X0 ),
inference(instantiation,[status(thm)],[c_93691]) ).
cnf(c_93850,plain,
( multiply(sk_c1,sk_c11) != sP20_iProver_def
| sk_c10 != sP20_iProver_def
| multiply(sk_c1,sk_c11) = sk_c10 ),
inference(instantiation,[status(thm)],[c_93849]) ).
cnf(c_93873,plain,
( multiply(X0,X1) != multiply(sk_c3,sk_c6)
| sk_c11 != multiply(sk_c3,sk_c6)
| sk_c11 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_93692]) ).
cnf(c_93879,plain,
( multiply(identity,X0) != X0
| X1 != X0
| X1 = multiply(identity,X0) ),
inference(instantiation,[status(thm)],[c_93710]) ).
cnf(c_93880,plain,
( multiply(identity,sk_c10) != sk_c10
| sk_c10 != sk_c10
| sk_c10 = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_93879]) ).
cnf(c_93881,plain,
( multiply(inverse(X0),X0) != identity
| X1 != identity
| X1 = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_93710]) ).
cnf(c_93887,plain,
( multiply(X0,X1) != multiply(X2,X3)
| X4 != multiply(X2,X3)
| X4 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_93710]) ).
cnf(c_93888,plain,
( multiply(sk_c10,sk_c9) != sP5_iProver_def
| X0 != sP5_iProver_def
| X0 = multiply(sk_c10,sk_c9) ),
inference(instantiation,[status(thm)],[c_93710]) ).
cnf(c_93889,plain,
( multiply(sk_c10,sk_c9) != sP5_iProver_def
| sk_c10 != sP5_iProver_def
| sk_c10 = multiply(sk_c10,sk_c9) ),
inference(instantiation,[status(thm)],[c_93888]) ).
cnf(c_93900,plain,
( multiply(sk_c2,sk_c10) != sP18_iProver_def
| X0 != sP18_iProver_def
| X0 = multiply(sk_c2,sk_c10) ),
inference(instantiation,[status(thm)],[c_93710]) ).
cnf(c_93902,plain,
( multiply(sk_c1,sk_c11) != sP20_iProver_def
| X0 != sP20_iProver_def
| X0 = multiply(sk_c1,sk_c11) ),
inference(instantiation,[status(thm)],[c_93710]) ).
cnf(c_93903,plain,
( multiply(sk_c1,sk_c11) != sP20_iProver_def
| sk_c10 != sP20_iProver_def
| sk_c10 = multiply(sk_c1,sk_c11) ),
inference(instantiation,[status(thm)],[c_93902]) ).
cnf(c_93959,plain,
( multiply(inverse(sk_c10),sk_c10) != identity
| multiply(identity,identity) != identity
| multiply(identity,identity) = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_93796]) ).
cnf(c_93967,plain,
( multiply(inverse(X0),sk_c10) != multiply(X1,X2)
| multiply(X3,X4) != multiply(X1,X2)
| multiply(X3,X4) = multiply(inverse(X0),sk_c10) ),
inference(instantiation,[status(thm)],[c_93803]) ).
cnf(c_93987,plain,
( sk_c11 != X0
| sP9_iProver_def != X0
| sk_c11 = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_93989,plain,
( sk_c11 != X0
| sP18_iProver_def != X0
| sk_c11 = sP18_iProver_def ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_94053,plain,
( multiply(inverse(sk_c10),sk_c10) != identity
| identity != identity
| identity = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_93796]) ).
cnf(c_94068,plain,
( inverse(X0) != identity
| sk_c10 != X1
| multiply(inverse(X0),sk_c10) = multiply(identity,X1) ),
inference(instantiation,[status(thm)],[c_93628]) ).
cnf(c_94069,plain,
( inverse(sk_c10) != identity
| sk_c10 != sk_c10
| multiply(inverse(sk_c10),sk_c10) = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_94068]) ).
cnf(c_94096,plain,
( multiply(sk_c10,sk_c9) != sP5_iProver_def
| identity != sP5_iProver_def
| multiply(sk_c10,sk_c9) = identity ),
inference(instantiation,[status(thm)],[c_93835]) ).
cnf(c_94099,plain,
( multiply(inverse(sk_c10),sk_c10) != identity
| multiply(sk_c10,sk_c9) != identity
| multiply(inverse(sk_c10),sk_c10) = multiply(sk_c10,sk_c9) ),
inference(instantiation,[status(thm)],[c_93639]) ).
cnf(c_94127,plain,
( X0 != X1
| sP11_iProver_def != X1
| X0 = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_94136,plain,
( X0 != X1
| sP14_iProver_def != X1
| X0 = sP14_iProver_def ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_94150,plain,
( X0 != X1
| sP18_iProver_def != X1
| X0 = sP18_iProver_def ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_94154,plain,
( multiply(sk_c1,sk_c11) != sP20_iProver_def
| identity != sP20_iProver_def
| multiply(sk_c1,sk_c11) = identity ),
inference(instantiation,[status(thm)],[c_93849]) ).
cnf(c_94157,plain,
( multiply(inverse(sk_c10),sk_c10) != identity
| multiply(sk_c1,sk_c11) != identity
| multiply(inverse(sk_c10),sk_c10) = multiply(sk_c1,sk_c11) ),
inference(instantiation,[status(thm)],[c_93639]) ).
cnf(c_94160,plain,
( multiply(sk_c1,sk_c11) != sP20_iProver_def
| sP11_iProver_def != sP20_iProver_def
| multiply(sk_c1,sk_c11) = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_93849]) ).
cnf(c_94164,plain,
( multiply(sk_c1,sk_c11) != X0
| X1 != X0
| X1 = multiply(sk_c1,sk_c11) ),
inference(instantiation,[status(thm)],[c_93710]) ).
cnf(c_94174,plain,
( multiply(sk_c1,sk_c11) != sP20_iProver_def
| sP16_iProver_def != sP20_iProver_def
| multiply(sk_c1,sk_c11) = sP16_iProver_def ),
inference(instantiation,[status(thm)],[c_93849]) ).
cnf(c_94175,plain,
( multiply(sk_c1,sk_c11) != sP16_iProver_def
| multiply(sk_c3,sk_c6) != sP16_iProver_def
| multiply(sk_c3,sk_c6) = multiply(sk_c1,sk_c11) ),
inference(instantiation,[status(thm)],[c_93845]) ).
cnf(c_94180,plain,
( multiply(sk_c10,sk_c9) != sP5_iProver_def
| identity != sP5_iProver_def
| identity = multiply(sk_c10,sk_c9) ),
inference(instantiation,[status(thm)],[c_93888]) ).
cnf(c_94181,plain,
( sk_c11 != multiply(sk_c10,sk_c9)
| identity != multiply(sk_c10,sk_c9)
| sk_c11 = identity ),
inference(instantiation,[status(thm)],[c_93631]) ).
cnf(c_94187,plain,
( multiply(inverse(X0),sk_c10) != multiply(sk_c10,sk_c9)
| X1 != multiply(sk_c10,sk_c9)
| X1 = multiply(inverse(X0),sk_c10) ),
inference(instantiation,[status(thm)],[c_93803]) ).
cnf(c_94188,plain,
( multiply(inverse(X0),sk_c10) != multiply(sk_c10,sk_c9)
| X1 != multiply(sk_c10,sk_c9)
| multiply(inverse(X0),sk_c10) = X1 ),
inference(instantiation,[status(thm)],[c_93650]) ).
cnf(c_94189,plain,
( multiply(inverse(sk_c10),sk_c10) != multiply(sk_c10,sk_c9)
| sk_c10 != multiply(sk_c10,sk_c9)
| multiply(inverse(sk_c10),sk_c10) = sk_c10 ),
inference(instantiation,[status(thm)],[c_94188]) ).
cnf(c_94190,plain,
( multiply(inverse(sk_c10),sk_c10) != multiply(sk_c10,sk_c9)
| sk_c10 != multiply(sk_c10,sk_c9)
| sk_c10 = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_94187]) ).
cnf(c_94257,plain,
( multiply(sk_c2,sk_c10) != sP18_iProver_def
| sP18_iProver_def != sP18_iProver_def
| sP18_iProver_def = multiply(sk_c2,sk_c10) ),
inference(instantiation,[status(thm)],[c_93900]) ).
cnf(c_94265,plain,
( multiply(sk_c1,sk_c11) != sP20_iProver_def
| identity != sP20_iProver_def
| identity = multiply(sk_c1,sk_c11) ),
inference(instantiation,[status(thm)],[c_93902]) ).
cnf(c_94272,plain,
( multiply(inverse(X0),sk_c10) != multiply(sk_c1,sk_c11)
| X1 != multiply(sk_c1,sk_c11)
| X1 = multiply(inverse(X0),sk_c10) ),
inference(instantiation,[status(thm)],[c_93803]) ).
cnf(c_94275,plain,
( multiply(inverse(sk_c10),sk_c10) != multiply(sk_c1,sk_c11)
| sk_c10 != multiply(sk_c1,sk_c11)
| sk_c10 = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_94272]) ).
cnf(c_94402,plain,
( multiply(identity,X0) != X0
| multiply(sk_c10,sk_c9) != X0
| multiply(identity,X0) = multiply(sk_c10,sk_c9) ),
inference(instantiation,[status(thm)],[c_93824]) ).
cnf(c_94404,plain,
( multiply(sk_c10,sk_c9) != sk_c10
| multiply(identity,sk_c10) != sk_c10
| multiply(identity,sk_c10) = multiply(sk_c10,sk_c9) ),
inference(instantiation,[status(thm)],[c_94402]) ).
cnf(c_94414,plain,
( multiply(identity,X0) != X0
| multiply(sk_c3,sk_c6) != X0
| multiply(identity,X0) = multiply(sk_c3,sk_c6) ),
inference(instantiation,[status(thm)],[c_93824]) ).
cnf(c_94415,plain,
( multiply(identity,X0) != multiply(sk_c3,sk_c6)
| sk_c11 != multiply(sk_c3,sk_c6)
| sk_c11 = multiply(identity,X0) ),
inference(instantiation,[status(thm)],[c_93873]) ).
cnf(c_94416,plain,
( multiply(sk_c3,sk_c6) != sk_c10
| multiply(identity,sk_c10) != sk_c10
| multiply(identity,sk_c10) = multiply(sk_c3,sk_c6) ),
inference(instantiation,[status(thm)],[c_94414]) ).
cnf(c_94417,plain,
( multiply(identity,sk_c10) != multiply(sk_c3,sk_c6)
| sk_c11 != multiply(sk_c3,sk_c6)
| sk_c11 = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_94415]) ).
cnf(c_94427,plain,
( multiply(inverse(X0),sk_c10) != multiply(identity,X1)
| X2 != multiply(identity,X1)
| X2 = multiply(inverse(X0),sk_c10) ),
inference(instantiation,[status(thm)],[c_93803]) ).
cnf(c_94428,plain,
( multiply(inverse(X0),sk_c10) != multiply(identity,X1)
| X2 != multiply(identity,X1)
| multiply(inverse(X0),sk_c10) = X2 ),
inference(instantiation,[status(thm)],[c_93650]) ).
cnf(c_94429,plain,
( multiply(inverse(sk_c10),sk_c10) != multiply(identity,sk_c10)
| sk_c10 != multiply(identity,sk_c10)
| multiply(inverse(sk_c10),sk_c10) = sk_c10 ),
inference(instantiation,[status(thm)],[c_94428]) ).
cnf(c_94430,plain,
( multiply(inverse(sk_c10),sk_c10) != multiply(identity,sk_c10)
| sk_c10 != multiply(identity,sk_c10)
| sk_c10 = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_94427]) ).
cnf(c_94452,plain,
( multiply(inverse(X0),sk_c10) != sk_c11
| X1 != sk_c11
| X1 = multiply(inverse(X0),sk_c10) ),
inference(instantiation,[status(thm)],[c_93710]) ).
cnf(c_94481,plain,
( multiply(inverse(X0),sk_c10) != X1
| sP18_iProver_def != X1
| multiply(inverse(X0),sk_c10) = sP18_iProver_def ),
inference(instantiation,[status(thm)],[c_93626]) ).
cnf(c_94718,plain,
( multiply(X0,X1) != multiply(X0,X1)
| sk_c11 != multiply(X0,X1)
| multiply(X0,X1) = sk_c11 ),
inference(instantiation,[status(thm)],[c_93829]) ).
cnf(c_94740,plain,
( multiply(identity,X0) != multiply(identity,X0)
| X1 != multiply(identity,X0)
| multiply(identity,X0) = X1 ),
inference(instantiation,[status(thm)],[c_93829]) ).
cnf(c_94752,plain,
( multiply(X0,X1) != multiply(sk_c10,sk_c9)
| X2 != multiply(sk_c10,sk_c9)
| multiply(X0,X1) = X2 ),
inference(instantiation,[status(thm)],[c_93834]) ).
cnf(c_94755,plain,
( multiply(X0,X1) != multiply(inverse(X2),sk_c10)
| sk_c11 != multiply(inverse(X2),sk_c10)
| multiply(X0,X1) = sk_c11 ),
inference(instantiation,[status(thm)],[c_93834]) ).
cnf(c_94756,plain,
( multiply(sk_c10,sk_c10) != multiply(inverse(sk_c10),sk_c10)
| sk_c11 != multiply(inverse(sk_c10),sk_c10)
| multiply(sk_c10,sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_94755]) ).
cnf(c_94764,plain,
( multiply(X0,X1) != multiply(inverse(X2),sk_c10)
| X3 != multiply(inverse(X2),sk_c10)
| multiply(X0,X1) = X3 ),
inference(instantiation,[status(thm)],[c_93834]) ).
cnf(c_94783,plain,
( multiply(X0,X1) != multiply(sk_c1,sk_c11)
| X2 != multiply(sk_c1,sk_c11)
| multiply(X0,X1) = X2 ),
inference(instantiation,[status(thm)],[c_93834]) ).
cnf(c_94811,plain,
( multiply(X0,X1) != multiply(inverse(X2),sk_c10)
| X3 != multiply(inverse(X2),sk_c10)
| X3 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_93887]) ).
cnf(c_94812,plain,
( multiply(sk_c10,sk_c10) != multiply(inverse(sk_c10),sk_c10)
| sk_c10 != multiply(inverse(sk_c10),sk_c10)
| sk_c10 = multiply(sk_c10,sk_c10) ),
inference(instantiation,[status(thm)],[c_94811]) ).
cnf(c_94984,plain,
( X0 != multiply(inverse(X1),sk_c10)
| identity != multiply(inverse(X1),sk_c10)
| X0 = identity ),
inference(instantiation,[status(thm)],[c_93660]) ).
cnf(c_94985,plain,
( X0 != multiply(inverse(X1),sk_c10)
| identity != multiply(inverse(X1),sk_c10)
| identity = X0 ),
inference(instantiation,[status(thm)],[c_93654]) ).
cnf(c_94986,plain,
( sk_c10 != multiply(inverse(sk_c10),sk_c10)
| identity != multiply(inverse(sk_c10),sk_c10)
| identity = sk_c10 ),
inference(instantiation,[status(thm)],[c_94985]) ).
cnf(c_94987,plain,
( sk_c10 != multiply(inverse(sk_c10),sk_c10)
| identity != multiply(inverse(sk_c10),sk_c10)
| sk_c10 = identity ),
inference(instantiation,[status(thm)],[c_94984]) ).
cnf(c_95056,plain,
( multiply(inverse(X0),sk_c10) != multiply(X1,X2)
| sP18_iProver_def != multiply(X1,X2)
| multiply(inverse(X0),sk_c10) = sP18_iProver_def ),
inference(instantiation,[status(thm)],[c_93650]) ).
cnf(c_95192,plain,
( multiply(inverse(X0),sk_c10) != sk_c11
| sP11_iProver_def != sk_c11
| sP11_iProver_def = multiply(inverse(X0),sk_c10) ),
inference(instantiation,[status(thm)],[c_94452]) ).
cnf(c_95193,plain,
( multiply(inverse(sk_c10),sk_c10) != sk_c11
| sP11_iProver_def != sk_c11
| sP11_iProver_def = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_95192]) ).
cnf(c_95206,plain,
( X0 != X1
| sP18_iProver_def != X1
| sP18_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_95209,plain,
( multiply(inverse(X0),sk_c10) != multiply(sk_c10,sk_c9)
| sP18_iProver_def != multiply(sk_c10,sk_c9)
| multiply(inverse(X0),sk_c10) = sP18_iProver_def ),
inference(instantiation,[status(thm)],[c_94481]) ).
cnf(c_95210,plain,
( multiply(sk_c10,sk_c9) != sP5_iProver_def
| sP18_iProver_def != sP5_iProver_def
| sP18_iProver_def = multiply(sk_c10,sk_c9) ),
inference(instantiation,[status(thm)],[c_93888]) ).
cnf(c_95211,plain,
( multiply(inverse(sk_c10),sk_c10) != multiply(sk_c10,sk_c9)
| sP18_iProver_def != multiply(sk_c10,sk_c9)
| multiply(inverse(sk_c10),sk_c10) = sP18_iProver_def ),
inference(instantiation,[status(thm)],[c_95209]) ).
cnf(c_95224,plain,
( multiply(sk_c1,sk_c11) != sP20_iProver_def
| sP18_iProver_def != sP20_iProver_def
| sP18_iProver_def = multiply(sk_c1,sk_c11) ),
inference(instantiation,[status(thm)],[c_93902]) ).
cnf(c_95274,plain,
( multiply(inverse(X0),sk_c10) != sk_c11
| sP14_iProver_def != sk_c11
| sP14_iProver_def = multiply(inverse(X0),sk_c10) ),
inference(instantiation,[status(thm)],[c_94452]) ).
cnf(c_95275,plain,
( multiply(inverse(sk_c10),sk_c10) != sk_c11
| sP14_iProver_def != sk_c11
| sP14_iProver_def = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_95274]) ).
cnf(c_95462,plain,
( sk_c11 != identity
| identity != identity
| identity = sk_c11 ),
inference(instantiation,[status(thm)],[c_93767]) ).
cnf(c_95466,plain,
( X0 != multiply(sk_c1,sk_c11)
| identity != multiply(sk_c1,sk_c11)
| X0 = identity ),
inference(instantiation,[status(thm)],[c_93660]) ).
cnf(c_95469,plain,
( sk_c10 != multiply(sk_c1,sk_c11)
| identity != multiply(sk_c1,sk_c11)
| sk_c10 = identity ),
inference(instantiation,[status(thm)],[c_95466]) ).
cnf(c_95933,plain,
( sk_c11 != multiply(inverse(X0),sk_c10)
| sP18_iProver_def != multiply(inverse(X0),sk_c10)
| sk_c11 = sP18_iProver_def ),
inference(instantiation,[status(thm)],[c_93989]) ).
cnf(c_95934,plain,
( multiply(inverse(X0),sk_c10) != multiply(sk_c1,sk_c11)
| sP18_iProver_def != multiply(sk_c1,sk_c11)
| sP18_iProver_def = multiply(inverse(X0),sk_c10) ),
inference(instantiation,[status(thm)],[c_94272]) ).
cnf(c_95935,plain,
( multiply(inverse(X0),sk_c10) != multiply(sk_c10,sk_c9)
| sP18_iProver_def != multiply(sk_c10,sk_c9)
| sP18_iProver_def = multiply(inverse(X0),sk_c10) ),
inference(instantiation,[status(thm)],[c_94187]) ).
cnf(c_95937,plain,
( sk_c11 != multiply(inverse(sk_c10),sk_c10)
| sP18_iProver_def != multiply(inverse(sk_c10),sk_c10)
| sk_c11 = sP18_iProver_def ),
inference(instantiation,[status(thm)],[c_95933]) ).
cnf(c_95938,plain,
( multiply(inverse(sk_c10),sk_c10) != multiply(sk_c10,sk_c9)
| sP18_iProver_def != multiply(sk_c10,sk_c9)
| sP18_iProver_def = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_95935]) ).
cnf(c_95939,plain,
( multiply(inverse(sk_c10),sk_c10) != multiply(sk_c1,sk_c11)
| sP18_iProver_def != multiply(sk_c1,sk_c11)
| sP18_iProver_def = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_95934]) ).
cnf(c_95983,plain,
( multiply(inverse(sk_c10),sk_c10) != identity
| multiply(sk_c7,sk_c10) != identity
| multiply(sk_c7,sk_c10) = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_93881]) ).
cnf(c_96272,plain,
( multiply(inverse(X0),sk_c10) != identity
| X1 != identity
| multiply(inverse(X0),sk_c10) = X1 ),
inference(instantiation,[status(thm)],[c_93626]) ).
cnf(c_96306,plain,
( inverse(X0) != X1
| X2 != X1
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_96529,plain,
( inverse(X0) != X1
| X2 != X1
| X2 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_96559,plain,
( multiply(inverse(X0),sk_c10) != X1
| multiply(sk_c1,sk_c11) != X1
| multiply(inverse(X0),sk_c10) = multiply(sk_c1,sk_c11) ),
inference(instantiation,[status(thm)],[c_94164]) ).
cnf(c_96560,plain,
( multiply(inverse(sk_c10),sk_c10) != sk_c10
| multiply(sk_c1,sk_c11) != sk_c10
| multiply(inverse(sk_c10),sk_c10) = multiply(sk_c1,sk_c11) ),
inference(instantiation,[status(thm)],[c_96559]) ).
cnf(c_96765,plain,
( multiply(inverse(X0),sk_c10) != X1
| multiply(identity,X1) != X1
| multiply(identity,X1) = multiply(inverse(X0),sk_c10) ),
inference(instantiation,[status(thm)],[c_93824]) ).
cnf(c_96766,plain,
( multiply(inverse(sk_c10),sk_c10) != sk_c10
| multiply(identity,sk_c10) != sk_c10
| multiply(identity,sk_c10) = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_96765]) ).
cnf(c_97027,plain,
( multiply(inverse(sk_c10),sk_c10) != multiply(identity,identity)
| multiply(X0,X1) != multiply(identity,identity)
| multiply(X0,X1) = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_93967]) ).
cnf(c_97028,plain,
( multiply(inverse(sk_c10),sk_c10) != multiply(identity,identity)
| multiply(sk_c10,sk_c10) != multiply(identity,identity)
| multiply(sk_c10,sk_c10) = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_97027]) ).
cnf(c_97715,plain,
( multiply(identity,X0) != X0
| multiply(identity,X1) != X0
| multiply(identity,X1) = multiply(identity,X0) ),
inference(instantiation,[status(thm)],[c_93879]) ).
cnf(c_97716,plain,
( multiply(identity,sk_c10) != sk_c10
| multiply(identity,sk_c10) = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_97715]) ).
cnf(c_98543,plain,
( multiply(identity,X0) != multiply(inverse(X1),sk_c10)
| sP11_iProver_def != multiply(inverse(X1),sk_c10)
| multiply(identity,X0) = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_94764]) ).
cnf(c_98545,plain,
( multiply(identity,sk_c10) != multiply(inverse(sk_c10),sk_c10)
| sP11_iProver_def != multiply(inverse(sk_c10),sk_c10)
| multiply(identity,sk_c10) = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_98543]) ).
cnf(c_98835,plain,
( X0 != sk_c11
| sP11_iProver_def != sk_c11
| X0 = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_94127]) ).
cnf(c_98860,plain,
( X0 != multiply(X1,X2)
| sP14_iProver_def != multiply(X1,X2)
| X0 = sP14_iProver_def ),
inference(instantiation,[status(thm)],[c_94136]) ).
cnf(c_98861,plain,
( multiply(X0,X1) != multiply(inverse(X2),sk_c10)
| sP14_iProver_def != multiply(inverse(X2),sk_c10)
| sP14_iProver_def = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_94811]) ).
cnf(c_98863,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| sP14_iProver_def != multiply(sk_c10,sk_c10)
| sk_c10 = sP14_iProver_def ),
inference(instantiation,[status(thm)],[c_98860]) ).
cnf(c_98865,plain,
( multiply(sk_c10,sk_c10) != multiply(inverse(sk_c10),sk_c10)
| sP14_iProver_def != multiply(inverse(sk_c10),sk_c10)
| sP14_iProver_def = multiply(sk_c10,sk_c10) ),
inference(instantiation,[status(thm)],[c_98861]) ).
cnf(c_98900,plain,
( X0 != multiply(X1,X2)
| sP18_iProver_def != multiply(X1,X2)
| X0 = sP18_iProver_def ),
inference(instantiation,[status(thm)],[c_94150]) ).
cnf(c_98901,plain,
( multiply(X0,X1) != multiply(inverse(X2),sk_c10)
| sP18_iProver_def != multiply(inverse(X2),sk_c10)
| sP18_iProver_def = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_94811]) ).
cnf(c_98903,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| sP18_iProver_def != multiply(sk_c10,sk_c10)
| sk_c10 = sP18_iProver_def ),
inference(instantiation,[status(thm)],[c_98900]) ).
cnf(c_98904,plain,
( multiply(sk_c10,sk_c10) != multiply(inverse(sk_c10),sk_c10)
| sP18_iProver_def != multiply(inverse(sk_c10),sk_c10)
| sP18_iProver_def = multiply(sk_c10,sk_c10) ),
inference(instantiation,[status(thm)],[c_98901]) ).
cnf(c_99151,plain,
( multiply(sk_c7,sk_c10) != multiply(sk_c7,sk_c10)
| sk_c11 != multiply(sk_c7,sk_c10)
| multiply(sk_c7,sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_94718]) ).
cnf(c_99152,plain,
( multiply(sk_c7,sk_c10) != multiply(inverse(X0),sk_c10)
| sk_c11 != multiply(inverse(X0),sk_c10)
| multiply(sk_c7,sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_94755]) ).
cnf(c_99153,plain,
( multiply(sk_c7,sk_c10) != multiply(inverse(sk_c10),sk_c10)
| sk_c11 != multiply(inverse(sk_c10),sk_c10)
| multiply(sk_c7,sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_99152]) ).
cnf(c_99365,plain,
( multiply(inverse(X0),sk_c10) != multiply(identity,X1)
| multiply(identity,X1) != multiply(identity,X1)
| multiply(identity,X1) = multiply(inverse(X0),sk_c10) ),
inference(instantiation,[status(thm)],[c_94740]) ).
cnf(c_99366,plain,
( multiply(inverse(sk_c10),sk_c10) != multiply(identity,sk_c10)
| multiply(identity,sk_c10) != multiply(identity,sk_c10)
| multiply(identity,sk_c10) = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_99365]) ).
cnf(c_99653,plain,
( multiply(sk_c3,sk_c6) != multiply(sk_c1,sk_c11)
| X0 != multiply(sk_c1,sk_c11)
| multiply(sk_c3,sk_c6) = X0 ),
inference(instantiation,[status(thm)],[c_94783]) ).
cnf(c_99654,plain,
( multiply(sk_c3,sk_c6) != multiply(sk_c1,sk_c11)
| sk_c10 != multiply(sk_c1,sk_c11)
| multiply(sk_c3,sk_c6) = sk_c10 ),
inference(instantiation,[status(thm)],[c_99653]) ).
cnf(c_101806,plain,
( inverse(X0) != multiply(X1,X2)
| X3 != multiply(X1,X2)
| inverse(X0) = X3 ),
inference(instantiation,[status(thm)],[c_96306]) ).
cnf(c_101809,plain,
( inverse(sk_c10) != multiply(sk_c10,sk_c10)
| sk_c10 != multiply(sk_c10,sk_c10)
| inverse(sk_c10) = sk_c10 ),
inference(instantiation,[status(thm)],[c_101806]) ).
cnf(c_101866,plain,
( inverse(X0) != sk_c11
| sP11_iProver_def != sk_c11
| inverse(X0) = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_98835]) ).
cnf(c_101867,plain,
( inverse(X0) != sP11_iProver_def
| X1 != sP11_iProver_def
| inverse(X0) = X1 ),
inference(instantiation,[status(thm)],[c_96306]) ).
cnf(c_101869,plain,
( inverse(sk_c10) != sk_c11
| sP11_iProver_def != sk_c11
| inverse(sk_c10) = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_101866]) ).
cnf(c_101872,plain,
( identity != sk_c11
| sP11_iProver_def != sk_c11
| identity = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_98835]) ).
cnf(c_101875,plain,
( sk_c11 != sP11_iProver_def
| identity != sP11_iProver_def
| sk_c11 = identity ),
inference(instantiation,[status(thm)],[c_93631]) ).
cnf(c_101880,plain,
( sk_c11 != sP11_iProver_def
| sP9_iProver_def != sP11_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_93987]) ).
cnf(c_101963,plain,
( sk_c11 != sP16_iProver_def
| identity != sP16_iProver_def
| sk_c11 = identity ),
inference(instantiation,[status(thm)],[c_93631]) ).
cnf(c_101969,plain,
( sk_c11 != sP16_iProver_def
| sP9_iProver_def != sP16_iProver_def
| sk_c11 = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_93987]) ).
cnf(c_101998,plain,
( inverse(X0) != sP18_iProver_def
| X1 != sP18_iProver_def
| inverse(X0) = X1 ),
inference(instantiation,[status(thm)],[c_96306]) ).
cnf(c_103418,plain,
( multiply(X0,X1) != multiply(inverse(X2),sk_c10)
| inverse(X3) != multiply(inverse(X2),sk_c10)
| inverse(X3) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_94811]) ).
cnf(c_103421,plain,
( multiply(sk_c10,sk_c10) != multiply(inverse(sk_c10),sk_c10)
| inverse(sk_c10) != multiply(inverse(sk_c10),sk_c10)
| inverse(sk_c10) = multiply(sk_c10,sk_c10) ),
inference(instantiation,[status(thm)],[c_103418]) ).
cnf(c_104168,plain,
( inverse(X0) != multiply(sk_c1,sk_c11)
| X1 != multiply(sk_c1,sk_c11)
| X1 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_96529]) ).
cnf(c_104170,plain,
( inverse(sk_c10) != multiply(sk_c1,sk_c11)
| sk_c10 != multiply(sk_c1,sk_c11)
| sk_c10 = inverse(sk_c10) ),
inference(instantiation,[status(thm)],[c_104168]) ).
cnf(c_104172,plain,
( inverse(X0) != multiply(identity,X1)
| X2 != multiply(identity,X1)
| X2 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_96529]) ).
cnf(c_104174,plain,
( inverse(sk_c10) != multiply(identity,sk_c10)
| sk_c10 != multiply(identity,sk_c10)
| sk_c10 = inverse(sk_c10) ),
inference(instantiation,[status(thm)],[c_104172]) ).
cnf(c_104206,plain,
( multiply(sk_c7,sk_c10) != sP11_iProver_def
| identity != sP11_iProver_def
| multiply(sk_c7,sk_c10) = identity ),
inference(instantiation,[status(thm)],[c_93841]) ).
cnf(c_105184,plain,
( multiply(sk_c2,sk_c10) != sP18_iProver_def
| identity != sP18_iProver_def
| multiply(sk_c2,sk_c10) = identity ),
inference(instantiation,[status(thm)],[c_93847]) ).
cnf(c_105185,plain,
( multiply(inverse(X0),sk_c10) != identity
| multiply(sk_c2,sk_c10) != identity
| multiply(inverse(X0),sk_c10) = multiply(sk_c2,sk_c10) ),
inference(instantiation,[status(thm)],[c_96272]) ).
cnf(c_105188,plain,
( multiply(inverse(sk_c10),sk_c10) != identity
| multiply(sk_c2,sk_c10) != identity
| multiply(inverse(sk_c10),sk_c10) = multiply(sk_c2,sk_c10) ),
inference(instantiation,[status(thm)],[c_105185]) ).
cnf(c_105309,plain,
( X0 != sk_c9
| sP18_iProver_def != sk_c9
| sP18_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_95206]) ).
cnf(c_106576,plain,
( multiply(inverse(X0),sk_c10) != multiply(sk_c2,sk_c10)
| sP18_iProver_def != multiply(sk_c2,sk_c10)
| multiply(inverse(X0),sk_c10) = sP18_iProver_def ),
inference(instantiation,[status(thm)],[c_95056]) ).
cnf(c_106577,plain,
( multiply(inverse(sk_c10),sk_c10) != multiply(sk_c2,sk_c10)
| sP18_iProver_def != multiply(sk_c2,sk_c10)
| multiply(inverse(sk_c10),sk_c10) = sP18_iProver_def ),
inference(instantiation,[status(thm)],[c_106576]) ).
cnf(c_109574,plain,
( X0 != identity
| X1 != identity
| multiply(X0,X1) = multiply(identity,identity) ),
inference(instantiation,[status(thm)],[c_752]) ).
cnf(c_109576,plain,
( sk_c10 != identity
| multiply(sk_c10,sk_c10) = multiply(identity,identity) ),
inference(instantiation,[status(thm)],[c_109574]) ).
cnf(c_110436,plain,
( multiply(identity,identity) != multiply(inverse(X0),sk_c10)
| sk_c11 != multiply(inverse(X0),sk_c10)
| multiply(identity,identity) = sk_c11 ),
inference(instantiation,[status(thm)],[c_94755]) ).
cnf(c_110437,plain,
( multiply(identity,identity) != multiply(inverse(sk_c10),sk_c10)
| sk_c11 != multiply(inverse(sk_c10),sk_c10)
| multiply(identity,identity) = sk_c11 ),
inference(instantiation,[status(thm)],[c_110436]) ).
cnf(c_110529,plain,
( sP5_iProver_def != sk_c9
| sP18_iProver_def != sk_c9
| sP18_iProver_def = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_105309]) ).
cnf(c_110619,plain,
( multiply(inverse(sk_c10),sk_c10) != identity
| sk_c9 != identity
| multiply(inverse(sk_c10),sk_c10) = sk_c9 ),
inference(instantiation,[status(thm)],[c_93639]) ).
cnf(c_114258,plain,
( multiply(identity,X0) != multiply(identity,X0)
| sk_c11 != multiply(identity,X0)
| multiply(identity,X0) = sk_c11 ),
inference(instantiation,[status(thm)],[c_94718]) ).
cnf(c_114259,plain,
( multiply(identity,X0) != multiply(inverse(X1),sk_c10)
| sk_c11 != multiply(inverse(X1),sk_c10)
| multiply(identity,X0) = sk_c11 ),
inference(instantiation,[status(thm)],[c_94755]) ).
cnf(c_114260,plain,
( multiply(identity,sk_c10) != multiply(inverse(sk_c10),sk_c10)
| sk_c11 != multiply(inverse(sk_c10),sk_c10)
| multiply(identity,sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_114259]) ).
cnf(c_114261,plain,
( multiply(identity,sk_c10) != multiply(identity,sk_c10)
| sk_c11 != multiply(identity,sk_c10)
| multiply(identity,sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_114258]) ).
cnf(c_114280,plain,
( multiply(identity,X0) != multiply(sk_c10,sk_c9)
| sk_c11 != multiply(sk_c10,sk_c9)
| multiply(identity,X0) = sk_c11 ),
inference(instantiation,[status(thm)],[c_94752]) ).
cnf(c_114282,plain,
( multiply(identity,sk_c10) != multiply(sk_c10,sk_c9)
| sk_c11 != multiply(sk_c10,sk_c9)
| multiply(identity,sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_114280]) ).
cnf(c_114289,plain,
( multiply(identity,X0) != X0
| sk_c11 != X0
| multiply(identity,X0) = sk_c11 ),
inference(instantiation,[status(thm)],[c_93824]) ).
cnf(c_114290,plain,
( multiply(identity,sk_c10) != sk_c10
| sk_c11 != sk_c10
| multiply(identity,sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_114289]) ).
cnf(c_115496,plain,
( sk_c9 != X0
| sP6_iProver_def != X0
| sP6_iProver_def = sk_c9 ),
inference(instantiation,[status(thm)],[c_751]) ).
cnf(c_115497,plain,
( sk_c9 != sk_c10
| sP6_iProver_def != sk_c10
| sP6_iProver_def = sk_c9 ),
inference(instantiation,[status(thm)],[c_115496]) ).
cnf(c_120585,plain,
( inverse(sP6_iProver_def) = sP10_iProver_def
| sP16_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_92280,c_673]) ).
cnf(c_120586,plain,
( sk_c10 = sP10_iProver_def
| sP16_iProver_def = sP20_iProver_def ),
inference(light_normalisation,[status(thm)],[c_120585,c_26495]) ).
cnf(c_120841,plain,
( multiply(inverse(X0),sk_c10) != sk_c9
| sP18_iProver_def != sk_c9
| sP18_iProver_def = multiply(inverse(X0),sk_c10) ),
inference(instantiation,[status(thm)],[c_105309]) ).
cnf(c_120842,plain,
( multiply(inverse(sk_c10),sk_c10) != sk_c9
| sP18_iProver_def != sk_c9
| sP18_iProver_def = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_120841]) ).
cnf(c_120846,plain,
( sP5_iProver_def = sP18_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_72779,c_3085,c_3828,c_12396,c_37102,c_72782,c_72779,c_73971]) ).
cnf(c_120883,plain,
( sP5_iProver_def = sP17_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_120846,c_42933]) ).
cnf(c_121559,plain,
( inverse(X0) != sP11_iProver_def
| identity != sP11_iProver_def
| inverse(X0) = identity ),
inference(instantiation,[status(thm)],[c_101867]) ).
cnf(c_121560,plain,
( inverse(sk_c10) != sP11_iProver_def
| identity != sP11_iProver_def
| inverse(sk_c10) = identity ),
inference(instantiation,[status(thm)],[c_121559]) ).
cnf(c_121583,plain,
( multiply(sk_c1,sk_c11) != sP11_iProver_def
| inverse(X0) != sP11_iProver_def
| inverse(X0) = multiply(sk_c1,sk_c11) ),
inference(instantiation,[status(thm)],[c_101867]) ).
cnf(c_121584,plain,
( multiply(sk_c1,sk_c11) != sP11_iProver_def
| inverse(sk_c10) != sP11_iProver_def
| inverse(sk_c10) = multiply(sk_c1,sk_c11) ),
inference(instantiation,[status(thm)],[c_121583]) ).
cnf(c_121588,plain,
( multiply(identity,X0) != sP11_iProver_def
| inverse(X1) != sP11_iProver_def
| inverse(X1) = multiply(identity,X0) ),
inference(instantiation,[status(thm)],[c_101867]) ).
cnf(c_121589,plain,
( multiply(identity,sk_c10) != sP11_iProver_def
| inverse(sk_c10) != sP11_iProver_def
| inverse(sk_c10) = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_121588]) ).
cnf(c_121703,plain,
( sk_c11 = sP5_iProver_def
| sP10_iProver_def = sP20_iProver_def
| sP16_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_120586,c_749]) ).
cnf(c_121704,plain,
( sk_c11 = sP11_iProver_def
| sP10_iProver_def = sP20_iProver_def
| sP16_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_120586,c_747]) ).
cnf(c_121881,plain,
( sk_c11 != sk_c11
| sP11_iProver_def != sk_c11
| sk_c11 = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_98835]) ).
cnf(c_122433,plain,
( multiply(sP6_iProver_def,sP5_iProver_def) = identity
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_120883,c_5696]) ).
cnf(c_122467,plain,
( sk_c9 = identity
| sP6_iProver_def = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_122433,c_7927]) ).
cnf(c_123091,plain,
( inverse(X0) != sP18_iProver_def
| identity != sP18_iProver_def
| inverse(X0) = identity ),
inference(instantiation,[status(thm)],[c_101998]) ).
cnf(c_123092,plain,
( inverse(sk_c10) != sP18_iProver_def
| identity != sP18_iProver_def
| inverse(sk_c10) = identity ),
inference(instantiation,[status(thm)],[c_123091]) ).
cnf(c_123122,plain,
( multiply(inverse(X0),sk_c10) != sP18_iProver_def
| inverse(X1) != sP18_iProver_def
| inverse(X1) = multiply(inverse(X0),sk_c10) ),
inference(instantiation,[status(thm)],[c_101998]) ).
cnf(c_123123,plain,
( multiply(inverse(sk_c10),sk_c10) != sP18_iProver_def
| inverse(sk_c10) != sP18_iProver_def
| inverse(sk_c10) = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_123122]) ).
cnf(c_123891,plain,
( sk_c11 = sP11_iProver_def
| sP18_iProver_def = sP20_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_91176,c_115,c_683,c_711,c_741,c_3207,c_4012,c_10364,c_10718,c_10769,c_12009,c_12369,c_15024,c_16276,c_17483,c_23747,c_34908,c_36423,c_37048,c_37692,c_42770,c_46734,c_54431,c_57671,c_70312,c_74912,c_93620,c_93655,c_93903,c_94154,c_94157,c_94265,c_94275,c_94812,c_95275,c_95469,c_97028,c_98863,c_98865,c_101963,c_109576,c_121881]) ).
cnf(c_124019,plain,
( multiply(X0,sP11_iProver_def) != sk_c10
| inverse(X0) != sk_c11
| ~ sP3_iProver_def
| sP18_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_123891,c_686]) ).
cnf(c_124022,plain,
( sk_c11 = sP11_iProver_def
| sP11_iProver_def = sP19_iProver_def
| sP18_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_123891,c_741]) ).
cnf(c_124141,plain,
( multiply(sk_c10,sP11_iProver_def) != sk_c10
| inverse(sk_c10) != sk_c11
| ~ sP3_iProver_def
| sP18_iProver_def = sP20_iProver_def ),
inference(instantiation,[status(thm)],[c_124019]) ).
cnf(c_124512,plain,
( identity = sP5_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_122467,c_67819]) ).
cnf(c_124948,plain,
identity = sP5_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_124512,c_114,c_115,c_755,c_756,c_757,c_669,c_679,c_680,c_681,c_683,c_684,c_1512,c_1522,c_3085,c_3207,c_3270,c_3383,c_3999,c_4000,c_4176,c_7534,c_10718,c_23747,c_24459,c_25367,c_25366,c_25365,c_25364,c_27032,c_28494,c_28495,c_36332,c_37101,c_37102,c_42236,c_42494,c_43121,c_43187,c_43186,c_47262,c_53510,c_56711,c_60677,c_60713,c_63277,c_71897,c_77315,c_78442,c_78410,c_78944,c_79094,c_79238,c_80730,c_80720,c_83563,c_85086,c_93663,c_93681,c_93698,c_93848,c_93850,c_93880,c_93903,c_93959,c_94069,c_94160,c_94174,c_94175,c_94416,c_94417,c_94429,c_94430,c_94756,c_94812,c_95224,c_95939,c_96560,c_97716,c_98903,c_98904,c_99654,c_101869,c_101963,c_101969,c_104170,c_110437,c_114261,c_115497,c_121560,c_121584,c_124512]) ).
cnf(c_125057,plain,
( sP5_iProver_def = sP20_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(demodulation,[status(thm)],[c_34906,c_124948]) ).
cnf(c_125108,plain,
inverse(sP5_iProver_def) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_24352,c_124948]) ).
cnf(c_125109,plain,
multiply(X0,sP5_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_24325,c_124948]) ).
cnf(c_125155,plain,
multiply(sP5_iProver_def,X0) = X0,
inference(demodulation,[status(thm)],[c_110,c_124948]) ).
cnf(c_125363,plain,
( sk_c11 = sP5_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(demodulation,[status(thm)],[c_13657,c_125108]) ).
cnf(c_125391,plain,
sk_c9 = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_7927,c_125109]) ).
cnf(c_125509,plain,
( multiply(X0,sk_c10) != sP6_iProver_def
| inverse(X0) != sk_c10
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_688,c_125391]) ).
cnf(c_125516,plain,
( sk_c11 = sP5_iProver_def
| sP6_iProver_def = sP18_iProver_def ),
inference(demodulation,[status(thm)],[c_737,c_125391]) ).
cnf(c_125518,plain,
( sk_c11 = sP11_iProver_def
| sP6_iProver_def = sP18_iProver_def ),
inference(demodulation,[status(thm)],[c_735,c_125391]) ).
cnf(c_125519,plain,
( sk_c10 = sP10_iProver_def
| sP6_iProver_def = sP18_iProver_def ),
inference(demodulation,[status(thm)],[c_734,c_125391]) ).
cnf(c_125520,plain,
( sP6_iProver_def = sP9_iProver_def
| sP6_iProver_def = sP18_iProver_def ),
inference(demodulation,[status(thm)],[c_733,c_125391]) ).
cnf(c_125521,plain,
( sk_c11 = sP8_iProver_def
| sP6_iProver_def = sP18_iProver_def ),
inference(demodulation,[status(thm)],[c_732,c_125391]) ).
cnf(c_125679,plain,
multiply(sk_c10,sP5_iProver_def) = sk_c10,
inference(instantiation,[status(thm)],[c_125109]) ).
cnf(c_125688,plain,
( multiply(sk_c10,sk_c10) != sP6_iProver_def
| inverse(sk_c10) != sk_c10
| ~ sP1_iProver_def ),
inference(instantiation,[status(thm)],[c_125509]) ).
cnf(c_125774,plain,
( multiply(X0,sP5_iProver_def) != sk_c10
| inverse(X0) != sk_c11
| ~ sP3_iProver_def
| sP6_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_125516,c_686]) ).
cnf(c_125776,plain,
( sk_c11 = sP11_iProver_def
| sP5_iProver_def = sP19_iProver_def
| sP6_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_125516,c_741]) ).
cnf(c_125867,plain,
( inverse(X0) != sk_c11
| X0 != sk_c10
| ~ sP3_iProver_def
| sP6_iProver_def = sP18_iProver_def ),
inference(light_normalisation,[status(thm)],[c_125774,c_125109]) ).
cnf(c_125874,plain,
( inverse(sk_c10) != sk_c11
| sk_c10 != sk_c10
| ~ sP3_iProver_def
| sP6_iProver_def = sP18_iProver_def ),
inference(instantiation,[status(thm)],[c_125867]) ).
cnf(c_126303,plain,
( sP6_iProver_def = sP18_iProver_def
| sP8_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_125521,c_125518]) ).
cnf(c_126304,plain,
( sP5_iProver_def = sP8_iProver_def
| sP6_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_125521,c_125516]) ).
cnf(c_126570,plain,
sP14_iProver_def = sP19_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_70616,c_114,c_115,c_755,c_756,c_669,c_673,c_674,c_684,c_1512,c_1518,c_1811,c_2294,c_2443,c_3085,c_3383,c_3652,c_6229,c_6308,c_6380,c_6655,c_12396,c_23747,c_24459,c_30101,c_30900,c_32983,c_37101,c_37102,c_37692,c_38752,c_42769,c_42770,c_43121,c_43118,c_43187,c_57647,c_64897,c_74912,c_85086,c_93620,c_93663,c_93696,c_93880,c_93959,c_94069,c_95193,c_97716,c_98545,c_99151,c_99366,c_101869,c_101875,c_101880,c_104174,c_110437,c_114260,c_121560,c_121589,c_125391]) ).
cnf(c_126621,plain,
multiply(sP14_iProver_def,sP20_iProver_def) = sk_c11,
inference(demodulation,[status(thm)],[c_7806,c_126570]) ).
cnf(c_127133,plain,
( sP10_iProver_def = sP17_iProver_def
| sP18_iProver_def = sP20_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_91179,c_114,c_115,c_755,c_756,c_669,c_673,c_674,c_684,c_1512,c_1518,c_1811,c_3085,c_3383,c_3652,c_12396,c_23747,c_24459,c_36423,c_37048,c_37101,c_37102,c_37692,c_38752,c_42412,c_42769,c_42770,c_43121,c_43118,c_43187,c_45138,c_45534,c_45613,c_57647,c_74912,c_85086,c_89979,c_91182,c_93620,c_93663,c_93696,c_93880,c_93959,c_94069,c_95193,c_97716,c_98545,c_99151,c_99366,c_101869,c_101875,c_101880,c_104174,c_110437,c_114260,c_121560,c_121589,c_123891,c_124141,c_125391]) ).
cnf(c_127345,plain,
( sk_c11 = sP5_iProver_def
| sP16_iProver_def = sP20_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_121703,c_114,c_115,c_755,c_756,c_757,c_668,c_669,c_679,c_680,c_681,c_683,c_684,c_1512,c_1522,c_3085,c_3207,c_3270,c_3383,c_3517,c_3648,c_3999,c_4000,c_4012,c_4176,c_7534,c_10364,c_10718,c_10833,c_11140,c_11142,c_12396,c_12472,c_13501,c_13673,c_14592,c_15104,c_16492,c_17483,c_18076,c_23747,c_24459,c_25367,c_25366,c_25365,c_25364,c_27032,c_28494,c_28495,c_34907,c_36332,c_37101,c_37102,c_38039,c_38040,c_42236,c_42494,c_42757,c_43121,c_43187,c_43186,c_43190,c_46732,c_47262,c_53510,c_54975,c_55438,c_56711,c_57666,c_60677,c_60713,c_63277,c_70312,c_71897,c_76705,c_77315,c_78442,c_78410,c_78944,c_79094,c_79238,c_80730,c_80720,c_83563,c_85086,c_93655,c_93663,c_93681,c_93698,c_93848,c_93850,c_93880,c_93889,c_93903,c_93959,c_94069,c_94096,c_94099,c_94160,c_94174,c_94175,c_94189,c_94190,c_94257,c_94265,c_94416,c_94417,c_94429,c_94430,c_94756,c_94812,c_95224,c_95469,c_95937,c_95939,c_96560,c_96766,c_97028,c_97716,c_98903,c_98904,c_99654,c_101809,c_101869,c_101963,c_101969,c_103421,c_104170,c_105184,c_105188,c_106577,c_109576,c_110437,c_110619,c_114260,c_114261,c_115497,c_120842,c_121560,c_121584,c_123092,c_123123,c_124512,c_125391,c_125516,c_125363]) ).
cnf(c_127411,plain,
( multiply(X0,sP5_iProver_def) != sk_c10
| inverse(X0) != sk_c11
| ~ sP3_iProver_def
| sP16_iProver_def = sP20_iProver_def ),
inference(superposition,[status(thm)],[c_127345,c_686]) ).
cnf(c_127439,plain,
( inverse(X0) != sk_c11
| X0 != sk_c10
| ~ sP3_iProver_def
| sP16_iProver_def = sP20_iProver_def ),
inference(light_normalisation,[status(thm)],[c_127411,c_125109]) ).
cnf(c_127446,plain,
( inverse(sk_c10) != sk_c11
| sk_c10 != sk_c10
| ~ sP3_iProver_def
| sP16_iProver_def = sP20_iProver_def ),
inference(instantiation,[status(thm)],[c_127439]) ).
cnf(c_127462,plain,
sP5_iProver_def = sP20_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_73693,c_114,c_115,c_755,c_756,c_757,c_669,c_684,c_1512,c_3085,c_3383,c_3823,c_3824,c_11055,c_12396,c_12395,c_12597,c_12809,c_12897,c_13753,c_23747,c_23752,c_24459,c_37101,c_37102,c_37692,c_39986,c_41451,c_41452,c_42769,c_42770,c_43121,c_43187,c_73524,c_73679,c_73715,c_74912,c_85086,c_93620,c_93655,c_93663,c_93880,c_93959,c_94053,c_94069,c_94430,c_94756,c_94987,c_95193,c_97028,c_97716,c_98545,c_99366,c_101869,c_101875,c_101880,c_104174,c_109576,c_110437,c_114260,c_121560,c_121589,c_125391,c_125057,c_125688]) ).
cnf(c_127467,plain,
multiply(sP14_iProver_def,sP5_iProver_def) = sk_c11,
inference(demodulation,[status(thm)],[c_126621,c_127462]) ).
cnf(c_127579,plain,
( sk_c10 = sP10_iProver_def
| sP5_iProver_def = sP17_iProver_def ),
inference(demodulation,[status(thm)],[c_2797,c_127462]) ).
cnf(c_127677,plain,
sk_c11 = sP14_iProver_def,
inference(demodulation,[status(thm)],[c_127467,c_125109]) ).
cnf(c_127803,plain,
( sP5_iProver_def = sP14_iProver_def
| sP14_iProver_def = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_725,c_127677]) ).
cnf(c_128310,plain,
sP14_iProver_def = sP16_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_127803,c_114,c_115,c_755,c_756,c_669,c_673,c_674,c_684,c_1512,c_1518,c_1658,c_1738,c_1811,c_3085,c_3383,c_3652,c_5244,c_5316,c_5424,c_5550,c_12396,c_23747,c_24459,c_30100,c_30858,c_33309,c_37101,c_37102,c_37692,c_38752,c_42769,c_42770,c_43121,c_43118,c_43187,c_57647,c_64730,c_74912,c_85086,c_93620,c_93663,c_93696,c_93880,c_93959,c_94069,c_95193,c_97716,c_98545,c_99151,c_99366,c_101869,c_101875,c_101880,c_104174,c_110437,c_114260,c_121560,c_121589,c_125391]) ).
cnf(c_128606,plain,
sP5_iProver_def = sP17_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_127579,c_114,c_115,c_755,c_756,c_669,c_673,c_674,c_684,c_1512,c_1518,c_1811,c_3085,c_3383,c_3652,c_11060,c_12396,c_12602,c_12995,c_13909,c_13990,c_23747,c_24459,c_37101,c_37102,c_37692,c_38752,c_42769,c_42770,c_43121,c_43118,c_43187,c_57647,c_74113,c_74912,c_75362,c_85086,c_93620,c_93663,c_93696,c_93880,c_93959,c_94069,c_95193,c_97716,c_98545,c_99151,c_99366,c_101869,c_101875,c_101880,c_104174,c_110437,c_114260,c_120883,c_121560,c_121589,c_125391,c_125679,c_127579]) ).
cnf(c_128646,plain,
multiply(sP5_iProver_def,sP18_iProver_def) = sk_c10,
inference(demodulation,[status(thm)],[c_7729,c_128606]) ).
cnf(c_128942,plain,
sk_c10 = sP18_iProver_def,
inference(demodulation,[status(thm)],[c_128646,c_125155]) ).
cnf(c_128977,plain,
inverse(sP18_iProver_def) = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_669,c_128942]) ).
cnf(c_129280,plain,
sP16_iProver_def = sP20_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_121704,c_114,c_115,c_755,c_756,c_757,c_668,c_669,c_673,c_674,c_679,c_680,c_681,c_683,c_684,c_1512,c_1518,c_1522,c_1646,c_1811,c_3085,c_3207,c_3270,c_3383,c_3999,c_4000,c_4012,c_4176,c_7534,c_10718,c_12396,c_23747,c_24459,c_25367,c_25366,c_25365,c_25364,c_27032,c_28494,c_28495,c_36332,c_37101,c_37102,c_37692,c_38752,c_42236,c_42494,c_42770,c_43121,c_43118,c_43187,c_43186,c_47262,c_53510,c_54276,c_54975,c_55106,c_55438,c_56711,c_57727,c_57855,c_60677,c_60713,c_63277,c_68585,c_71897,c_74912,c_77315,c_78337,c_78442,c_78410,c_78944,c_79094,c_79238,c_80730,c_80720,c_83563,c_85086,c_93663,c_93681,c_93693,c_93698,c_93725,c_93728,c_93848,c_93850,c_93880,c_93903,c_93959,c_94069,c_94096,c_94099,c_94160,c_94174,c_94175,c_94416,c_94417,c_94429,c_94430,c_94756,c_94812,c_95193,c_95224,c_95939,c_95983,c_96560,c_97716,c_98545,c_98903,c_98904,c_99153,c_99366,c_99654,c_101869,c_101880,c_101963,c_101969,c_104170,c_104174,c_104206,c_110437,c_114260,c_114261,c_115497,c_120586,c_121560,c_121584,c_121589,c_121881,c_124512,c_125391,c_127345,c_127446]) ).
cnf(c_129282,plain,
sP5_iProver_def = sP14_iProver_def,
inference(light_normalisation,[status(thm)],[c_129280,c_127462,c_128310]) ).
cnf(c_129299,plain,
sk_c11 = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_127677,c_129282]) ).
cnf(c_129526,plain,
sP18_iProver_def = sP20_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_124022,c_114,c_115,c_755,c_756,c_757,c_668,c_669,c_673,c_674,c_679,c_680,c_681,c_683,c_684,c_1512,c_1518,c_1522,c_1811,c_2317,c_2464,c_3085,c_3207,c_3270,c_3383,c_3652,c_3999,c_4000,c_4176,c_5632,c_5650,c_7534,c_8513,c_10718,c_11060,c_12396,c_12602,c_12995,c_13909,c_13990,c_17470,c_22695,c_23747,c_24058,c_24459,c_25367,c_25366,c_25365,c_25364,c_27032,c_28494,c_28495,c_29423,c_29428,c_36332,c_36423,c_37048,c_37101,c_37102,c_37692,c_38752,c_42236,c_42412,c_42494,c_42769,c_42770,c_43121,c_43118,c_43187,c_43186,c_45138,c_45534,c_45613,c_47262,c_53510,c_56711,c_57647,c_57727,c_57802,c_57804,c_60677,c_60713,c_63277,c_68585,c_68771,c_71897,c_74113,c_74912,c_75362,c_77315,c_78337,c_78442,c_78410,c_78944,c_79094,c_79238,c_80730,c_80720,c_83563,c_85086,c_89979,c_93620,c_93663,c_93681,c_93693,c_93696,c_93698,c_93728,c_93848,c_93850,c_93880,c_93903,c_93959,c_94069,c_94096,c_94099,c_94160,c_94174,c_94175,c_94416,c_94417,c_94429,c_94430,c_94756,c_94812,c_95193,c_95224,c_95939,c_96560,c_97716,c_98545,c_98903,c_98904,c_99151,c_99366,c_99654,c_101869,c_101875,c_101880,c_101963,c_101969,c_104170,c_104174,c_110437,c_114260,c_114261,c_114290,c_115497,c_120883,c_121560,c_121584,c_121589,c_123891,c_124141,c_124512,c_125391,c_125679,c_127133,c_127579,c_129299]) ).
cnf(c_129528,plain,
sP5_iProver_def = sP18_iProver_def,
inference(light_normalisation,[status(thm)],[c_129526,c_127462]) ).
cnf(c_129533,plain,
inverse(sP5_iProver_def) = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_128977,c_129528]) ).
cnf(c_129535,plain,
sk_c10 = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_128942,c_129528]) ).
cnf(c_129544,plain,
sP5_iProver_def = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_129533,c_125108]) ).
cnf(c_129554,plain,
sk_c9 = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_125391,c_129544]) ).
cnf(c_129836,plain,
sP6_iProver_def = sP18_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_125776,c_114,c_115,c_755,c_756,c_757,c_668,c_669,c_673,c_674,c_679,c_680,c_681,c_683,c_684,c_735,c_1512,c_1518,c_1522,c_1811,c_3085,c_3207,c_3270,c_3383,c_3652,c_3999,c_4000,c_4176,c_7037,c_7534,c_10361,c_10718,c_12396,c_23747,c_23752,c_24459,c_25367,c_25366,c_25365,c_25364,c_27032,c_28494,c_28495,c_29424,c_29462,c_36332,c_37101,c_37102,c_37692,c_42236,c_42494,c_43121,c_43187,c_43186,c_47262,c_53510,c_56711,c_57727,c_57733,c_57801,c_57981,c_60677,c_60713,c_62684,c_62777,c_63277,c_71897,c_74912,c_77315,c_78337,c_78442,c_78410,c_78944,c_79094,c_79238,c_80730,c_80720,c_83563,c_85086,c_93663,c_93681,c_93693,c_93698,c_93728,c_93836,c_93848,c_93850,c_93880,c_93903,c_93959,c_94069,c_94096,c_94099,c_94160,c_94174,c_94175,c_94180,c_94181,c_94404,c_94416,c_94417,c_94429,c_94430,c_94756,c_94812,c_95224,c_95462,c_95939,c_96560,c_97716,c_98903,c_98904,c_99654,c_101869,c_101872,c_101963,c_101969,c_104170,c_110437,c_114261,c_114282,c_115497,c_121560,c_121584,c_124512,c_125391,c_125521,c_125520,c_125519,c_125518,c_125874,c_126304,c_126303,c_129299,c_129554,c_129544,c_129535]) ).
cnf(c_129875,plain,
inverse(identity) != sk_c11,
inference(global_subsumption_just,[status(thm)],[c_3252,c_114,c_115,c_757,c_668,c_669,c_684,c_3085,c_3252,c_3369,c_3823,c_3824,c_4012,c_11140,c_11142,c_12396,c_12398,c_17483,c_23747,c_23752,c_24459,c_38039,c_38040,c_41451,c_41452,c_42757,c_43117,c_43190,c_45675,c_57666,c_57727,c_78337,c_86492,c_93655,c_93693,c_93728,c_93836,c_93889,c_93959,c_94053,c_94096,c_94099,c_94190,c_94404,c_94756,c_94812,c_94986,c_94987,c_95211,c_95210,c_95937,c_95938,c_97028,c_98903,c_98904,c_101809,c_103421,c_109576,c_110437,c_110529,c_114282,c_123123,c_124948,c_125391,c_125688,c_129299,c_129544,c_129535,c_129836]) ).
cnf(c_129877,plain,
sP5_iProver_def != sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_129875,c_124948,c_125108,c_129299]) ).
cnf(c_129878,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_129877]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP242-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 00:08:03 EDT 2024
% 0.14/0.35 % 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
% 20.74/3.68 % SZS status Started for theBenchmark.p
% 20.74/3.68 % SZS status Unsatisfiable for theBenchmark.p
% 20.74/3.68
% 20.74/3.68 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 20.74/3.68
% 20.74/3.68 ------ iProver source info
% 20.74/3.68
% 20.74/3.68 git: date: 2024-05-02 19:28:25 +0000
% 20.74/3.68 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 20.74/3.68 git: non_committed_changes: false
% 20.74/3.68
% 20.74/3.68 ------ Parsing...successful
% 20.74/3.68
% 20.74/3.68
% 20.74/3.68
% 20.74/3.68 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 20.74/3.68
% 20.74/3.68 ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e
% 20.74/3.68
% 20.74/3.68 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 20.74/3.68 ------ Proving...
% 20.74/3.68 ------ Problem Properties
% 20.74/3.68
% 20.74/3.68
% 20.74/3.68 clauses 85
% 20.74/3.68 conjectures 66
% 20.74/3.68 EPR 61
% 20.74/3.68 Horn 24
% 20.74/3.68 unary 19
% 20.74/3.68 binary 60
% 20.74/3.68 lits 163
% 20.74/3.68 lits eq 153
% 20.74/3.68 fd_pure 0
% 20.74/3.68 fd_pseudo 0
% 20.74/3.68 fd_cond 0
% 20.74/3.68 fd_pseudo_cond 0
% 20.74/3.68 AC symbols 0
% 20.74/3.68
% 20.74/3.68 ------ Schedule dynamic 5 is on
% 20.74/3.68
% 20.74/3.68 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 20.74/3.68
% 20.74/3.68
% 20.74/3.68 ------
% 20.74/3.68 Current options:
% 20.74/3.68 ------
% 20.74/3.68
% 20.74/3.68
% 20.74/3.68
% 20.74/3.68
% 20.74/3.68 ------ Proving...
% 20.74/3.68
% 20.74/3.68
% 20.74/3.68 % SZS status Unsatisfiable for theBenchmark.p
% 20.74/3.68
% 20.74/3.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.74/3.70
% 20.74/3.70
%------------------------------------------------------------------------------