TSTP Solution File: GRP237-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP237-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 06:58:51 EDT 2024
% Result : Unsatisfiable 20.66s 3.57s
% Output : CNFRefutation 20.66s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c9
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( inverse(sk_c9) = sk_c8
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c8
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( inverse(sk_c9) = sk_c8
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( inverse(sk_c4) = sk_c5
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c9
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c4,sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c8
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( inverse(sk_c4) = sk_c5
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_84,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_85,negated_conjecture,
( multiply(X0,X1) != sk_c9
| multiply(X1,sk_c8) != sk_c9
| multiply(X2,sk_c8) != sk_c9
| multiply(X3,sk_c9) != X4
| multiply(X5,sk_c9) != X6
| multiply(sk_c9,X4) != sk_c8
| multiply(sk_c9,X6) != sk_c8
| inverse(X0) != X1
| inverse(X2) != sk_c9
| inverse(X3) != sk_c9
| inverse(X5) != sk_c9
| inverse(sk_c9) != sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_86,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_87,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_88,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_89,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
| multiply(sk_c9,multiply(X1,sk_c9)) != sk_c8
| multiply(X2,inverse(X2)) != sk_c9
| multiply(inverse(X2),sk_c8) != sk_c9
| multiply(X3,sk_c8) != sk_c9
| inverse(X0) != sk_c9
| inverse(X1) != sk_c9
| inverse(X3) != sk_c9
| inverse(sk_c9) != sk_c8 ),
inference(unflattening,[status(thm)],[c_85]) ).
cnf(c_426,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c9
| multiply(inverse(X0),sk_c8) != sk_c9
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_89]) ).
cnf(c_427,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
| inverse(X0) != sk_c9
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_89]) ).
cnf(c_428,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c9
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_89]) ).
cnf(c_429,negated_conjecture,
( inverse(sk_c9) != sk_c8
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_89]) ).
cnf(c_430,plain,
inverse(sk_c9) = sP3_iProver_def,
definition ).
cnf(c_431,plain,
inverse(sk_c6) = sP4_iProver_def,
definition ).
cnf(c_432,plain,
inverse(sk_c2) = sP5_iProver_def,
definition ).
cnf(c_433,plain,
multiply(sk_c6,sk_c9) = sP6_iProver_def,
definition ).
cnf(c_434,plain,
multiply(sk_c9,sk_c7) = sP7_iProver_def,
definition ).
cnf(c_435,plain,
multiply(sk_c5,sk_c8) = sP8_iProver_def,
definition ).
cnf(c_436,plain,
inverse(sk_c4) = sP9_iProver_def,
definition ).
cnf(c_437,plain,
multiply(sk_c4,sk_c5) = sP10_iProver_def,
definition ).
cnf(c_438,plain,
multiply(sk_c2,sk_c9) = sP11_iProver_def,
definition ).
cnf(c_439,plain,
multiply(sk_c9,sk_c3) = sP12_iProver_def,
definition ).
cnf(c_440,plain,
multiply(sk_c1,sk_c8) = sP13_iProver_def,
definition ).
cnf(c_441,plain,
inverse(sk_c1) = sP14_iProver_def,
definition ).
cnf(c_442,negated_conjecture,
( sP3_iProver_def != sk_c8
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_429,c_430]) ).
cnf(c_444,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c9
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_428]) ).
cnf(c_445,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
| inverse(X0) != sk_c9
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_427]) ).
cnf(c_446,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c9
| multiply(inverse(X0),sk_c8) != sk_c9
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_426]) ).
cnf(c_447,negated_conjecture,
( sP4_iProver_def = sk_c9
| sP5_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_84,c_432,c_431]) ).
cnf(c_448,negated_conjecture,
( sP5_iProver_def = sk_c9
| sP6_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_83,c_433]) ).
cnf(c_449,negated_conjecture,
( sP5_iProver_def = sk_c9
| sP7_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_82,c_434]) ).
cnf(c_450,negated_conjecture,
( sP5_iProver_def = sk_c9
| sP8_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_81,c_435]) ).
cnf(c_451,negated_conjecture,
( sP5_iProver_def = sk_c9
| sP9_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_80,c_436]) ).
cnf(c_452,negated_conjecture,
( sP5_iProver_def = sk_c9
| sP10_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_79,c_437]) ).
cnf(c_453,negated_conjecture,
( sP4_iProver_def = sk_c9
| sP11_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_78,c_438]) ).
cnf(c_454,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP11_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_77]) ).
cnf(c_457,negated_conjecture,
( sP9_iProver_def = sk_c5
| sP11_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_74]) ).
cnf(c_458,negated_conjecture,
( sP10_iProver_def = sk_c9
| sP11_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_73]) ).
cnf(c_459,negated_conjecture,
( sP4_iProver_def = sk_c9
| sP12_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_72,c_439]) ).
cnf(c_460,negated_conjecture,
( sP6_iProver_def = sk_c7
| sP12_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_71]) ).
cnf(c_461,negated_conjecture,
( sP7_iProver_def = sk_c8
| sP12_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_70]) ).
cnf(c_463,negated_conjecture,
( sP9_iProver_def = sk_c5
| sP12_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_68]) ).
cnf(c_464,negated_conjecture,
( sP10_iProver_def = sk_c9
| sP12_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_465,negated_conjecture,
( sP4_iProver_def = sk_c9
| sP13_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_66,c_440]) ).
cnf(c_469,negated_conjecture,
( sP9_iProver_def = sk_c5
| sP13_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_470,negated_conjecture,
( sP10_iProver_def = sk_c9
| sP13_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_471,negated_conjecture,
( sP4_iProver_def = sk_c9
| sP14_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_60,c_441]) ).
cnf(c_475,negated_conjecture,
( sP9_iProver_def = sk_c5
| sP14_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_476,negated_conjecture,
( sP10_iProver_def = sk_c9
| sP14_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_477,negated_conjecture,
( sP3_iProver_def = sk_c8
| sP4_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_478,negated_conjecture,
( sP3_iProver_def = sk_c8
| sP6_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_479,negated_conjecture,
( sP3_iProver_def = sk_c8
| sP7_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_481,negated_conjecture,
( sP3_iProver_def = sk_c8
| sP9_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_482,negated_conjecture,
( sP3_iProver_def = sk_c8
| sP10_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_483,plain,
X0 = X0,
theory(equality) ).
cnf(c_484,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_486,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_489,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_483]) ).
cnf(c_727,plain,
( sP3_iProver_def != sP7_iProver_def
| sk_c9 = sP5_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_449,c_442]) ).
cnf(c_764,plain,
( inverse(sP8_iProver_def) = sP3_iProver_def
| sk_c9 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_450,c_430]) ).
cnf(c_826,plain,
( sP3_iProver_def != sP12_iProver_def
| sk_c9 = sP4_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_459,c_442]) ).
cnf(c_841,plain,
( multiply(sk_c9,sP6_iProver_def) = sP7_iProver_def
| sk_c8 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_460,c_434]) ).
cnf(c_849,plain,
( multiply(sk_c5,sP12_iProver_def) = sP8_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_461,c_435]) ).
cnf(c_862,plain,
( multiply(sk_c4,sP9_iProver_def) = sP10_iProver_def
| sk_c9 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_451,c_437]) ).
cnf(c_876,plain,
( multiply(sP5_iProver_def,sk_c3) = sP12_iProver_def
| sk_c9 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_447,c_439]) ).
cnf(c_910,plain,
multiply(sP3_iProver_def,sk_c9) = identity,
inference(superposition,[status(thm)],[c_430,c_87]) ).
cnf(c_911,plain,
multiply(sP9_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_436,c_87]) ).
cnf(c_912,plain,
multiply(sP4_iProver_def,sk_c6) = identity,
inference(superposition,[status(thm)],[c_431,c_87]) ).
cnf(c_913,plain,
multiply(sP14_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_441,c_87]) ).
cnf(c_914,plain,
multiply(sP5_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_432,c_87]) ).
cnf(c_945,plain,
( sk_c8 != X0
| sP3_iProver_def != X0
| sP3_iProver_def = sk_c8 ),
inference(instantiation,[status(thm)],[c_484]) ).
cnf(c_948,plain,
( X0 != X1
| sk_c8 != X1
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_484]) ).
cnf(c_949,plain,
( X0 != sk_c8
| sk_c8 != sk_c8
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_948]) ).
cnf(c_950,plain,
sk_c8 = sk_c8,
inference(instantiation,[status(thm)],[c_483]) ).
cnf(c_957,plain,
( multiply(sk_c4,sP9_iProver_def) = sP10_iProver_def
| sk_c8 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_463,c_437]) ).
cnf(c_968,plain,
( multiply(sk_c1,sP12_iProver_def) = sP13_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_464,c_440]) ).
cnf(c_987,plain,
multiply(identity,sk_c8) = sk_c8,
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_989,plain,
( X0 != X1
| sk_c8 != X1
| X0 = sk_c8 ),
inference(instantiation,[status(thm)],[c_484]) ).
cnf(c_990,plain,
( sk_c9 != sk_c9
| sk_c8 != sk_c9
| sk_c9 = sk_c8 ),
inference(instantiation,[status(thm)],[c_989]) ).
cnf(c_991,plain,
( sk_c8 != sk_c8
| sP7_iProver_def != sk_c8
| sk_c8 = sP7_iProver_def ),
inference(instantiation,[status(thm)],[c_949]) ).
cnf(c_1002,plain,
( multiply(sk_c2,sP13_iProver_def) = sP11_iProver_def
| sk_c9 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_465,c_438]) ).
cnf(c_1029,plain,
( sk_c8 != sP7_iProver_def
| sP3_iProver_def != sP7_iProver_def
| sP3_iProver_def = sk_c8 ),
inference(instantiation,[status(thm)],[c_945]) ).
cnf(c_1030,plain,
( X0 != sP7_iProver_def
| sk_c8 != sP7_iProver_def
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_948]) ).
cnf(c_1038,plain,
( X0 != sP7_iProver_def
| sk_c8 != sP7_iProver_def
| X0 = sk_c8 ),
inference(instantiation,[status(thm)],[c_989]) ).
cnf(c_1039,plain,
( sk_c9 != sP7_iProver_def
| sk_c8 != sP7_iProver_def
| sk_c9 = sk_c8 ),
inference(instantiation,[status(thm)],[c_1038]) ).
cnf(c_1095,plain,
( multiply(sk_c9,sk_c7) != sP7_iProver_def
| sk_c8 != sP7_iProver_def
| sk_c8 = multiply(sk_c9,sk_c7) ),
inference(instantiation,[status(thm)],[c_1030]) ).
cnf(c_1155,plain,
( multiply(sk_c4,sP9_iProver_def) = sP10_iProver_def
| sk_c9 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_469,c_437]) ).
cnf(c_1227,plain,
( multiply(sk_c2,sP14_iProver_def) = sP11_iProver_def
| sk_c9 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_471,c_438]) ).
cnf(c_1233,plain,
( sk_c9 = sP4_iProver_def
| sP5_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_471,c_447]) ).
cnf(c_1263,plain,
( X0 != multiply(sk_c9,sk_c7)
| sk_c8 != multiply(sk_c9,sk_c7)
| X0 = sk_c8 ),
inference(instantiation,[status(thm)],[c_989]) ).
cnf(c_1274,plain,
sP3_iProver_def = sP3_iProver_def,
inference(instantiation,[status(thm)],[c_483]) ).
cnf(c_1275,plain,
( X0 != X1
| sP3_iProver_def != X1
| sP3_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_484]) ).
cnf(c_1383,plain,
( multiply(identity,sk_c8) != X0
| X1 != X0
| multiply(identity,sk_c8) = X1 ),
inference(instantiation,[status(thm)],[c_484]) ).
cnf(c_1396,plain,
multiply(identity,identity) = identity,
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_1403,plain,
( X0 != X1
| identity != X1
| X0 = identity ),
inference(instantiation,[status(thm)],[c_484]) ).
cnf(c_1409,plain,
( multiply(sk_c4,sP9_iProver_def) = sP10_iProver_def
| sk_c9 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_475,c_437]) ).
cnf(c_1425,plain,
( sk_c9 = sP10_iProver_def
| sP13_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_476,c_470]) ).
cnf(c_1433,plain,
( inverse(sP14_iProver_def) = sP3_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_476,c_430]) ).
cnf(c_1464,plain,
( sk_c8 != sk_c8
| sP3_iProver_def != sk_c8
| sk_c8 = sP3_iProver_def ),
inference(instantiation,[status(thm)],[c_949]) ).
cnf(c_1482,plain,
( sk_c9 = sP4_iProver_def
| sk_c8 = sP7_iProver_def
| sP3_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_477,c_461]) ).
cnf(c_1483,plain,
( sk_c9 = sP4_iProver_def
| sP3_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_477,c_459]) ).
cnf(c_1535,plain,
( X0 != sk_c9
| X1 != sk_c7
| multiply(X0,X1) = multiply(sk_c9,sk_c7) ),
inference(instantiation,[status(thm)],[c_486]) ).
cnf(c_1555,plain,
( multiply(sk_c9,sP6_iProver_def) = sP7_iProver_def
| sk_c8 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_478,c_434]) ).
cnf(c_1570,plain,
( multiply(sk_c1,sP7_iProver_def) = sP13_iProver_def
| sk_c8 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_479,c_440]) ).
cnf(c_1574,plain,
( sP3_iProver_def != sP7_iProver_def
| sk_c8 = sP3_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_479,c_442]) ).
cnf(c_1662,plain,
( X0 != sk_c8
| sP3_iProver_def != sk_c8
| sP3_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_1275]) ).
cnf(c_1704,plain,
( multiply(sk_c4,sP9_iProver_def) = sP10_iProver_def
| sk_c8 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_481,c_437]) ).
cnf(c_1739,plain,
( sk_c9 = sP10_iProver_def
| sP3_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_482,c_464]) ).
cnf(c_1815,plain,
( inverse(sk_c1) != sk_c9
| sk_c9 != sP13_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_440,c_444]) ).
cnf(c_1816,plain,
( inverse(identity) != sk_c9
| sk_c9 != sk_c8
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_86,c_444]) ).
cnf(c_1832,plain,
( sk_c9 != sP13_iProver_def
| sk_c9 != sP14_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1815,c_441]) ).
cnf(c_1914,plain,
( multiply(identity,sk_c8) != sk_c8
| X0 != sk_c8
| multiply(identity,sk_c8) = X0 ),
inference(instantiation,[status(thm)],[c_1383]) ).
cnf(c_1915,plain,
( multiply(identity,sk_c8) != sk_c8
| sk_c9 != sk_c8
| multiply(identity,sk_c8) = sk_c9 ),
inference(instantiation,[status(thm)],[c_1914]) ).
cnf(c_1953,plain,
( multiply(sk_c9,sP6_iProver_def) != sk_c8
| inverse(sk_c6) != sk_c9
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_433,c_445]) ).
cnf(c_1977,plain,
( multiply(sk_c9,sP6_iProver_def) != sk_c8
| sk_c9 != sP4_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1953,c_431]) ).
cnf(c_2060,plain,
( X0 != sP12_iProver_def
| sk_c8 != sP12_iProver_def
| X0 = sk_c8 ),
inference(instantiation,[status(thm)],[c_989]) ).
cnf(c_2061,plain,
( X0 != sP12_iProver_def
| sk_c8 != sP12_iProver_def
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_948]) ).
cnf(c_2062,plain,
( sk_c9 != sP12_iProver_def
| sk_c8 != sP12_iProver_def
| sk_c8 = sk_c9 ),
inference(instantiation,[status(thm)],[c_2061]) ).
cnf(c_2071,plain,
( multiply(sk_c9,inverse(sk_c9)) != sk_c9
| multiply(sP3_iProver_def,sk_c8) != sk_c9
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_430,c_446]) ).
cnf(c_2185,plain,
( sk_c8 != sP3_iProver_def
| sP3_iProver_def != sP3_iProver_def
| sP3_iProver_def = sk_c8 ),
inference(instantiation,[status(thm)],[c_945]) ).
cnf(c_2188,plain,
( X0 != sP3_iProver_def
| sk_c8 != sP3_iProver_def
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_948]) ).
cnf(c_2189,plain,
( sk_c9 != sP3_iProver_def
| sk_c8 != sP3_iProver_def
| sk_c8 = sk_c9 ),
inference(instantiation,[status(thm)],[c_2188]) ).
cnf(c_2264,plain,
multiply(sk_c4,multiply(sk_c5,X0)) = multiply(sP10_iProver_def,X0),
inference(superposition,[status(thm)],[c_437,c_88]) ).
cnf(c_2266,plain,
multiply(sk_c9,multiply(sk_c7,X0)) = multiply(sP7_iProver_def,X0),
inference(superposition,[status(thm)],[c_434,c_88]) ).
cnf(c_2267,plain,
multiply(sk_c6,multiply(sk_c9,X0)) = multiply(sP6_iProver_def,X0),
inference(superposition,[status(thm)],[c_433,c_88]) ).
cnf(c_2268,plain,
multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sP13_iProver_def,X0),
inference(superposition,[status(thm)],[c_440,c_88]) ).
cnf(c_2270,plain,
multiply(sk_c2,multiply(sk_c9,X0)) = multiply(sP11_iProver_def,X0),
inference(superposition,[status(thm)],[c_438,c_88]) ).
cnf(c_2272,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_87,c_88]) ).
cnf(c_2274,plain,
multiply(sP3_iProver_def,multiply(sk_c9,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_910,c_88]) ).
cnf(c_2275,plain,
multiply(sP9_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_911,c_88]) ).
cnf(c_2276,plain,
multiply(sP4_iProver_def,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_912,c_88]) ).
cnf(c_2277,plain,
multiply(sP14_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_913,c_88]) ).
cnf(c_2278,plain,
multiply(sP5_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_914,c_88]) ).
cnf(c_2282,plain,
multiply(sP5_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2278,c_86]) ).
cnf(c_2283,plain,
multiply(sP14_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2277,c_86]) ).
cnf(c_2284,plain,
multiply(sP4_iProver_def,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2276,c_86]) ).
cnf(c_2285,plain,
multiply(sP9_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2275,c_86]) ).
cnf(c_2286,plain,
multiply(sP3_iProver_def,multiply(sk_c9,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2274,c_86]) ).
cnf(c_2461,plain,
( sP3_iProver_def != sk_c8
| sP12_iProver_def != sk_c8
| sP3_iProver_def = sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_1662]) ).
cnf(c_2771,plain,
( X0 != sk_c9
| sP6_iProver_def != sk_c7
| multiply(X0,sP6_iProver_def) = multiply(sk_c9,sk_c7) ),
inference(instantiation,[status(thm)],[c_1535]) ).
cnf(c_2772,plain,
( sk_c9 != sk_c9
| sP6_iProver_def != sk_c7
| multiply(sk_c9,sP6_iProver_def) = multiply(sk_c9,sk_c7) ),
inference(instantiation,[status(thm)],[c_2771]) ).
cnf(c_2801,plain,
( multiply(sk_c6,sP4_iProver_def) = sP6_iProver_def
| sP5_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_1233,c_433]) ).
cnf(c_3008,plain,
( X0 != X1
| sP3_iProver_def != X1
| X0 = sP3_iProver_def ),
inference(instantiation,[status(thm)],[c_484]) ).
cnf(c_3058,plain,
( multiply(sP10_iProver_def,sk_c3) = sP12_iProver_def
| sP13_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_1425,c_439]) ).
cnf(c_3202,plain,
( multiply(sP4_iProver_def,sk_c7) = sP7_iProver_def
| sP3_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_1483,c_434]) ).
cnf(c_3381,plain,
( multiply(sP10_iProver_def,sk_c3) = sP12_iProver_def
| sP3_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_1739,c_439]) ).
cnf(c_3383,plain,
( multiply(sP10_iProver_def,sk_c7) = sP7_iProver_def
| sP3_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_1739,c_434]) ).
cnf(c_3469,plain,
( multiply(sP8_iProver_def,inverse(sP8_iProver_def)) != sk_c9
| multiply(sP3_iProver_def,sk_c8) != sk_c9
| ~ sP0_iProver_def
| sk_c9 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_764,c_446]) ).
cnf(c_3621,plain,
multiply(sP5_iProver_def,sP11_iProver_def) = sk_c9,
inference(superposition,[status(thm)],[c_438,c_2282]) ).
cnf(c_3626,plain,
multiply(sP14_iProver_def,sP13_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_440,c_2283]) ).
cnf(c_3665,plain,
multiply(sP14_iProver_def,multiply(sP13_iProver_def,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_3626,c_88]) ).
cnf(c_3667,plain,
multiply(sP4_iProver_def,sP6_iProver_def) = sk_c9,
inference(superposition,[status(thm)],[c_433,c_2284]) ).
cnf(c_3670,plain,
multiply(sP4_iProver_def,multiply(sP6_iProver_def,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_3667,c_88]) ).
cnf(c_3679,plain,
multiply(sP9_iProver_def,sP10_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_437,c_2285]) ).
cnf(c_3682,plain,
multiply(sP9_iProver_def,multiply(sP10_iProver_def,X0)) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_3679,c_88]) ).
cnf(c_3790,plain,
multiply(sP3_iProver_def,sP7_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_434,c_2286]) ).
cnf(c_3791,plain,
multiply(sP3_iProver_def,sP12_iProver_def) = sk_c3,
inference(superposition,[status(thm)],[c_439,c_2286]) ).
cnf(c_4188,plain,
( multiply(sP4_iProver_def,sP6_iProver_def) = sP7_iProver_def
| sk_c8 = sP12_iProver_def
| sP3_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_1483,c_841]) ).
cnf(c_4205,plain,
( multiply(sP3_iProver_def,sP7_iProver_def) = sP6_iProver_def
| sk_c8 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_841,c_2286]) ).
cnf(c_4206,plain,
( sk_c8 = sP12_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4205,c_3790]) ).
cnf(c_4250,plain,
( sk_c9 = sP7_iProver_def
| sk_c8 = sP12_iProver_def
| sP3_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4188,c_3667]) ).
cnf(c_4557,plain,
( sk_c8 != sP12_iProver_def
| sP12_iProver_def != sP12_iProver_def
| sP12_iProver_def = sk_c8 ),
inference(instantiation,[status(thm)],[c_2060]) ).
cnf(c_4558,plain,
sP12_iProver_def = sP12_iProver_def,
inference(instantiation,[status(thm)],[c_483]) ).
cnf(c_4636,plain,
( multiply(sP5_iProver_def,sP11_iProver_def) = sP12_iProver_def
| sk_c9 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_453,c_876]) ).
cnf(c_4638,plain,
( sk_c9 = sP4_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4636,c_3621]) ).
cnf(c_4756,plain,
( sk_c9 = sP4_iProver_def
| sP12_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_4638,c_471]) ).
cnf(c_5719,plain,
( multiply(X0,sP6_iProver_def) != multiply(sk_c9,sk_c7)
| sk_c8 != multiply(sk_c9,sk_c7)
| multiply(X0,sP6_iProver_def) = sk_c8 ),
inference(instantiation,[status(thm)],[c_1263]) ).
cnf(c_5720,plain,
( multiply(sk_c9,sP6_iProver_def) != multiply(sk_c9,sk_c7)
| sk_c8 != multiply(sk_c9,sk_c7)
| multiply(sk_c9,sP6_iProver_def) = sk_c8 ),
inference(instantiation,[status(thm)],[c_5719]) ).
cnf(c_6914,plain,
( multiply(sP5_iProver_def,sP11_iProver_def) = sP13_iProver_def
| sk_c9 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_1002,c_2282]) ).
cnf(c_6915,plain,
( sk_c9 = sP4_iProver_def
| sk_c9 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6914,c_3621]) ).
cnf(c_7667,plain,
( multiply(sP5_iProver_def,sP11_iProver_def) = sP14_iProver_def
| sk_c9 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_1227,c_2282]) ).
cnf(c_7668,plain,
( sk_c9 = sP4_iProver_def
| sk_c9 = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_7667,c_3621]) ).
cnf(c_8444,plain,
( multiply(sP3_iProver_def,sP7_iProver_def) = sP6_iProver_def
| sk_c8 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_1555,c_2286]) ).
cnf(c_8445,plain,
( sk_c8 = sP3_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8444,c_3790]) ).
cnf(c_8525,plain,
( multiply(sP14_iProver_def,sP13_iProver_def) = sP7_iProver_def
| sk_c8 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_1570,c_2283]) ).
cnf(c_8526,plain,
( sk_c8 = sP3_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8525,c_3626]) ).
cnf(c_8831,plain,
multiply(sk_c4,sP8_iProver_def) = multiply(sP10_iProver_def,sk_c8),
inference(superposition,[status(thm)],[c_435,c_2264]) ).
cnf(c_8838,plain,
( multiply(sk_c4,sP8_iProver_def) = multiply(sP10_iProver_def,sP12_iProver_def)
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_849,c_2264]) ).
cnf(c_9440,plain,
multiply(sk_c6,sP7_iProver_def) = multiply(sP6_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_434,c_2267]) ).
cnf(c_9807,plain,
( sP3_iProver_def != sP7_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_727,c_442,c_1274,c_1574,c_2185]) ).
cnf(c_9817,plain,
( sP1_iProver_def
| sP0_iProver_def
| sk_c9 = sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_826,c_826,c_1483,c_1832,c_6915,c_7668]) ).
cnf(c_9818,plain,
( sk_c9 = sP4_iProver_def
| sP0_iProver_def
| sP1_iProver_def ),
inference(renaming,[status(thm)],[c_9817]) ).
cnf(c_9981,plain,
multiply(sk_c2,sP7_iProver_def) = multiply(sP11_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_434,c_2270]) ).
cnf(c_10104,plain,
( multiply(X0,X1) != X2
| X3 != X2
| multiply(X0,X1) = X3 ),
inference(instantiation,[status(thm)],[c_484]) ).
cnf(c_10449,plain,
( sk_c8 = sP7_iProver_def
| sP3_iProver_def = sP12_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1482,c_461,c_479,c_950,c_991,c_2461]) ).
cnf(c_10991,plain,
( X0 != sP12_iProver_def
| sP3_iProver_def != sP12_iProver_def
| X0 = sP3_iProver_def ),
inference(instantiation,[status(thm)],[c_3008]) ).
cnf(c_10994,plain,
( sk_c9 != sP12_iProver_def
| sP3_iProver_def != sP12_iProver_def
| sk_c9 = sP3_iProver_def ),
inference(instantiation,[status(thm)],[c_10991]) ).
cnf(c_15759,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2272,c_86]) ).
cnf(c_15789,plain,
multiply(inverse(sk_c5),sP8_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_435,c_15759]) ).
cnf(c_15795,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_86,c_15759]) ).
cnf(c_15796,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_87,c_15759]) ).
cnf(c_15931,plain,
multiply(inverse(sP3_iProver_def),X0) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_2286,c_15759]) ).
cnf(c_15932,plain,
multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2285,c_15759]) ).
cnf(c_15933,plain,
multiply(inverse(sP4_iProver_def),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_2284,c_15759]) ).
cnf(c_15934,plain,
multiply(inverse(sP14_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2283,c_15759]) ).
cnf(c_15935,plain,
multiply(inverse(sP5_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2282,c_15759]) ).
cnf(c_15999,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_15759,c_15759]) ).
cnf(c_16702,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_15796,c_15999]) ).
cnf(c_16712,plain,
multiply(sk_c5,identity) = multiply(sP9_iProver_def,sP10_iProver_def),
inference(superposition,[status(thm)],[c_16702,c_3682]) ).
cnf(c_16713,plain,
multiply(sk_c4,sk_c5) = multiply(sP10_iProver_def,identity),
inference(superposition,[status(thm)],[c_16702,c_2264]) ).
cnf(c_16714,plain,
multiply(sk_c1,sk_c8) = multiply(sP13_iProver_def,identity),
inference(superposition,[status(thm)],[c_16702,c_2268]) ).
cnf(c_16717,plain,
multiply(sk_c9,sk_c7) = multiply(sP7_iProver_def,identity),
inference(superposition,[status(thm)],[c_16702,c_2266]) ).
cnf(c_16718,plain,
multiply(sk_c9,identity) = multiply(sP4_iProver_def,sP6_iProver_def),
inference(superposition,[status(thm)],[c_16702,c_3670]) ).
cnf(c_16719,plain,
multiply(sk_c2,sk_c9) = multiply(sP11_iProver_def,identity),
inference(superposition,[status(thm)],[c_16702,c_2270]) ).
cnf(c_16720,plain,
multiply(sk_c6,sk_c9) = multiply(sP6_iProver_def,identity),
inference(superposition,[status(thm)],[c_16702,c_2267]) ).
cnf(c_16722,plain,
multiply(sk_c8,identity) = multiply(sP14_iProver_def,sP13_iProver_def),
inference(superposition,[status(thm)],[c_16702,c_3665]) ).
cnf(c_16732,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_16702,c_15795]) ).
cnf(c_16736,plain,
multiply(sk_c8,identity) = sk_c8,
inference(light_normalisation,[status(thm)],[c_16722,c_3626]) ).
cnf(c_16737,plain,
multiply(sP6_iProver_def,identity) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_16720,c_433]) ).
cnf(c_16738,plain,
multiply(sP11_iProver_def,identity) = sP11_iProver_def,
inference(light_normalisation,[status(thm)],[c_16719,c_438]) ).
cnf(c_16740,plain,
multiply(sP7_iProver_def,identity) = sP7_iProver_def,
inference(light_normalisation,[status(thm)],[c_16717,c_434]) ).
cnf(c_16743,plain,
multiply(sP13_iProver_def,identity) = sP13_iProver_def,
inference(light_normalisation,[status(thm)],[c_16714,c_440]) ).
cnf(c_16744,plain,
multiply(sP10_iProver_def,identity) = sP10_iProver_def,
inference(light_normalisation,[status(thm)],[c_16713,c_437]) ).
cnf(c_16745,plain,
multiply(sk_c5,identity) = sk_c5,
inference(light_normalisation,[status(thm)],[c_16712,c_3679]) ).
cnf(c_16791,plain,
( multiply(identity,inverse(identity)) != sk_c9
| multiply(identity,sk_c8) != sk_c9
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_16732,c_446]) ).
cnf(c_16794,plain,
( multiply(identity,sk_c8) != sk_c9
| multiply(identity,identity) != sk_c9
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_16791,c_16732]) ).
cnf(c_17289,plain,
multiply(sk_c9,sP3_iProver_def) = identity,
inference(superposition,[status(thm)],[c_15931,c_87]) ).
cnf(c_17292,plain,
multiply(sk_c9,multiply(sP3_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_15931,c_15759]) ).
cnf(c_17293,plain,
multiply(sk_c9,identity) = inverse(sP3_iProver_def),
inference(superposition,[status(thm)],[c_15931,c_16702]) ).
cnf(c_17418,plain,
multiply(sk_c2,identity) = multiply(sP11_iProver_def,sP3_iProver_def),
inference(superposition,[status(thm)],[c_17289,c_2270]) ).
cnf(c_17419,plain,
multiply(sk_c6,identity) = multiply(sP6_iProver_def,sP3_iProver_def),
inference(superposition,[status(thm)],[c_17289,c_2267]) ).
cnf(c_17828,plain,
inverse(sP3_iProver_def) = sk_c9,
inference(demodulation,[status(thm)],[c_17293,c_16702]) ).
cnf(c_17914,plain,
( inverse(sP3_iProver_def) != sk_c9
| sk_c9 != sk_c8
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_17292,c_445]) ).
cnf(c_17989,plain,
( sk_c9 != sk_c8
| ~ sP1_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_17914,c_17828]) ).
cnf(c_18196,plain,
( sk_c9 != sP7_iProver_def
| ~ sP1_iProver_def
| sP3_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_10449,c_17989]) ).
cnf(c_18208,plain,
( sk_c9 != sP3_iProver_def
| ~ sP1_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_482,c_17989]) ).
cnf(c_18211,plain,
( sk_c9 != sP3_iProver_def
| ~ sP1_iProver_def
| sk_c9 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_477,c_17989]) ).
cnf(c_18214,plain,
( sk_c9 != sP12_iProver_def
| ~ sP1_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_464,c_17989]) ).
cnf(c_18216,plain,
( sk_c9 != sP12_iProver_def
| ~ sP1_iProver_def
| sk_c8 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_461,c_17989]) ).
cnf(c_18301,plain,
multiply(sP11_iProver_def,sP3_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_17418,c_16702]) ).
cnf(c_18303,plain,
multiply(inverse(sP11_iProver_def),sk_c2) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_18301,c_15759]) ).
cnf(c_18330,plain,
( ~ sP1_iProver_def
| sk_c9 != sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_18208,c_489,c_434,c_478,c_950,c_990,c_1095,c_1464,c_1977,c_2189,c_2772,c_5720,c_8526,c_17989,c_18211]) ).
cnf(c_18331,plain,
( sk_c9 != sP3_iProver_def
| ~ sP1_iProver_def ),
inference(renaming,[status(thm)],[c_18330]) ).
cnf(c_19133,plain,
( ~ sP1_iProver_def
| sk_c9 != sP12_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_18214,c_489,c_990,c_1039,c_2062,c_4250,c_10994,c_17989,c_18216,c_18331]) ).
cnf(c_19134,plain,
( sk_c9 != sP12_iProver_def
| ~ sP1_iProver_def ),
inference(renaming,[status(thm)],[c_19133]) ).
cnf(c_19162,plain,
( ~ sP1_iProver_def
| sk_c9 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_4638,c_19134]) ).
cnf(c_19334,plain,
( sk_c8 != sP7_iProver_def
| sP3_iProver_def != sP7_iProver_def
| sk_c8 = sP3_iProver_def ),
inference(instantiation,[status(thm)],[c_1030]) ).
cnf(c_19596,plain,
( sk_c9 = sP4_iProver_def
| sP0_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_9818,c_19162]) ).
cnf(c_19636,plain,
multiply(inverse(sP11_iProver_def),multiply(sk_c2,X0)) = multiply(sP3_iProver_def,X0),
inference(superposition,[status(thm)],[c_18303,c_88]) ).
cnf(c_19638,plain,
multiply(sP6_iProver_def,sP3_iProver_def) = sk_c6,
inference(demodulation,[status(thm)],[c_17419,c_16702]) ).
cnf(c_19639,plain,
multiply(inverse(sP6_iProver_def),sk_c6) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_19638,c_15759]) ).
cnf(c_19752,plain,
multiply(inverse(sP6_iProver_def),multiply(sk_c6,X0)) = multiply(sP3_iProver_def,X0),
inference(superposition,[status(thm)],[c_19639,c_88]) ).
cnf(c_20168,plain,
multiply(inverse(sP6_iProver_def),multiply(sP6_iProver_def,sk_c7)) = multiply(sP3_iProver_def,sP7_iProver_def),
inference(superposition,[status(thm)],[c_9440,c_19752]) ).
cnf(c_20174,plain,
multiply(inverse(sP6_iProver_def),multiply(sP6_iProver_def,sk_c7)) = sk_c7,
inference(light_normalisation,[status(thm)],[c_20168,c_3790]) ).
cnf(c_20661,plain,
multiply(sk_c4,sP9_iProver_def) = identity,
inference(superposition,[status(thm)],[c_15932,c_87]) ).
cnf(c_20665,plain,
multiply(sk_c4,identity) = inverse(sP9_iProver_def),
inference(superposition,[status(thm)],[c_15932,c_16702]) ).
cnf(c_20675,plain,
( sk_c8 = sP3_iProver_def
| identity = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_1704,c_20661]) ).
cnf(c_20676,plain,
( sk_c9 = sP14_iProver_def
| identity = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_1409,c_20661]) ).
cnf(c_20677,plain,
( sk_c9 = sP13_iProver_def
| identity = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_1155,c_20661]) ).
cnf(c_20678,plain,
( sk_c8 = sP12_iProver_def
| identity = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_957,c_20661]) ).
cnf(c_20679,plain,
( sk_c9 = sP5_iProver_def
| identity = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_862,c_20661]) ).
cnf(c_20695,plain,
multiply(sP9_iProver_def,identity) = sP9_iProver_def,
inference(superposition,[status(thm)],[c_20661,c_2285]) ).
cnf(c_20698,plain,
inverse(sP9_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_20665,c_16702]) ).
cnf(c_21874,plain,
( inverse(sP14_iProver_def) = sP3_iProver_def
| identity = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_20676,c_430]) ).
cnf(c_22221,plain,
( identity = sP10_iProver_def
| sP13_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_20677,c_20676]) ).
cnf(c_22633,plain,
( identity = sP10_iProver_def
| sP3_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_20678,c_20675]) ).
cnf(c_22658,plain,
( multiply(sk_c1,sP12_iProver_def) = sP13_iProver_def
| identity = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_20678,c_440]) ).
cnf(c_22747,plain,
( identity = sP10_iProver_def
| sP5_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_20679,c_20676]) ).
cnf(c_23052,plain,
( multiply(sP10_iProver_def,X0) = X0
| sP13_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_22221,c_86]) ).
cnf(c_23067,plain,
( multiply(sP10_iProver_def,X0) = X0
| sP3_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_22633,c_86]) ).
cnf(c_25635,plain,
( inverse(inverse(sP4_iProver_def)) != sk_c9
| multiply(sk_c6,sk_c8) != sk_c9
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_15933,c_444]) ).
cnf(c_25638,plain,
multiply(sk_c6,sP4_iProver_def) = identity,
inference(superposition,[status(thm)],[c_15933,c_87]) ).
cnf(c_25641,plain,
multiply(sk_c6,multiply(sP4_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_15933,c_15759]) ).
cnf(c_25642,plain,
multiply(sk_c6,identity) = inverse(sP4_iProver_def),
inference(superposition,[status(thm)],[c_15933,c_16702]) ).
cnf(c_25674,plain,
( identity = sP6_iProver_def
| sP5_iProver_def = sP14_iProver_def ),
inference(demodulation,[status(thm)],[c_2801,c_25638]) ).
cnf(c_25753,plain,
multiply(inverse(sP6_iProver_def),identity) = multiply(sP3_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_25638,c_19752]) ).
cnf(c_31601,plain,
inverse(sP4_iProver_def) = sk_c6,
inference(demodulation,[status(thm)],[c_25642,c_16702]) ).
cnf(c_31630,plain,
multiply(sk_c6,identity) = sk_c6,
inference(superposition,[status(thm)],[c_912,c_25641]) ).
cnf(c_31747,plain,
( sP5_iProver_def = sP14_iProver_def
| sP6_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_25674,c_22747]) ).
cnf(c_32569,plain,
( multiply(identity,X0) != X0
| X1 != X0
| multiply(identity,X0) = X1 ),
inference(instantiation,[status(thm)],[c_10104]) ).
cnf(c_39567,plain,
multiply(sk_c1,sP14_iProver_def) = identity,
inference(superposition,[status(thm)],[c_15934,c_87]) ).
cnf(c_39568,plain,
( multiply(sP14_iProver_def,inverse(sP14_iProver_def)) != sk_c9
| multiply(sk_c1,sk_c8) != sk_c9
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_15934,c_446]) ).
cnf(c_39571,plain,
multiply(sk_c1,identity) = inverse(sP14_iProver_def),
inference(superposition,[status(thm)],[c_15934,c_16702]) ).
cnf(c_39595,plain,
( multiply(sP14_iProver_def,inverse(sP14_iProver_def)) != sk_c9
| sk_c9 != sP13_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_39568,c_440]) ).
cnf(c_40418,plain,
multiply(sP14_iProver_def,identity) = sP14_iProver_def,
inference(superposition,[status(thm)],[c_39567,c_2283]) ).
cnf(c_40567,plain,
( sk_c3 = sP12_iProver_def
| sP13_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_23052,c_3058]) ).
cnf(c_40690,plain,
( sk_c7 = sP7_iProver_def
| sP3_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_23067,c_3383]) ).
cnf(c_40693,plain,
( sk_c3 = sP12_iProver_def
| sP3_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_23067,c_3381]) ).
cnf(c_40767,plain,
inverse(sP14_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_39571,c_16702]) ).
cnf(c_40769,plain,
( sk_c1 = sP3_iProver_def
| identity = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_21874,c_40767]) ).
cnf(c_40770,plain,
( sk_c9 = sP10_iProver_def
| sk_c1 = sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_1433,c_40767]) ).
cnf(c_40783,plain,
( inverse(sP5_iProver_def) = sk_c1
| sP6_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_31747,c_40767]) ).
cnf(c_41749,plain,
( multiply(sk_c9,sP12_iProver_def) = sP12_iProver_def
| sP13_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_40567,c_439]) ).
cnf(c_42034,plain,
( sk_c7 = sP6_iProver_def
| sP3_iProver_def = sP12_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_40693,c_454]) ).
cnf(c_42071,plain,
( multiply(sP3_iProver_def,sP12_iProver_def) = sP13_iProver_def
| identity = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_40769,c_22658]) ).
cnf(c_42098,plain,
( sk_c3 = sP13_iProver_def
| identity = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_42071,c_3791]) ).
cnf(c_43369,plain,
( multiply(sP3_iProver_def,sP12_iProver_def) = sP13_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_40770,c_968]) ).
cnf(c_43379,plain,
( sk_c9 = sP10_iProver_def
| sk_c3 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_43369,c_3791]) ).
cnf(c_43919,plain,
( sP3_iProver_def = sP12_iProver_def
| sk_c7 = sP6_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_42034,c_1274,c_2185,c_2461,c_4206,c_4557,c_4558,c_8445]) ).
cnf(c_43920,plain,
( sk_c7 = sP6_iProver_def
| sP3_iProver_def = sP12_iProver_def ),
inference(renaming,[status(thm)],[c_43919]) ).
cnf(c_43939,plain,
( multiply(sP4_iProver_def,sP6_iProver_def) = sP7_iProver_def
| sP3_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_43920,c_3202]) ).
cnf(c_43959,plain,
( sk_c9 = sP7_iProver_def
| sP3_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_43939,c_3667]) ).
cnf(c_44790,plain,
( sk_c5 = sP9_iProver_def
| identity = sP10_iProver_def
| sP11_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_42098,c_457]) ).
cnf(c_45076,plain,
( sk_c9 = sP10_iProver_def
| sP11_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_43379,c_458]) ).
cnf(c_45641,plain,
( multiply(sP10_iProver_def,sk_c3) = sP12_iProver_def
| sP11_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_45076,c_439]) ).
cnf(c_46791,plain,
( multiply(sk_c4,sP9_iProver_def) = sP10_iProver_def
| identity = sP10_iProver_def
| sP11_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_44790,c_437]) ).
cnf(c_46796,plain,
( identity = sP10_iProver_def
| sP11_iProver_def = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_46791,c_20661]) ).
cnf(c_46883,plain,
( multiply(sP10_iProver_def,X0) = X0
| sP11_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_46796,c_86]) ).
cnf(c_48034,plain,
( multiply(sP3_iProver_def,sP7_iProver_def) = identity
| sP3_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_43959,c_910]) ).
cnf(c_48036,plain,
( multiply(sk_c2,sP7_iProver_def) = sP11_iProver_def
| sP3_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_43959,c_438]) ).
cnf(c_48038,plain,
( multiply(sk_c6,sP7_iProver_def) = sP6_iProver_def
| sP3_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_43959,c_433]) ).
cnf(c_48039,plain,
( inverse(sP7_iProver_def) = sP3_iProver_def
| sP3_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_43959,c_430]) ).
cnf(c_48051,plain,
( multiply(sP6_iProver_def,sk_c7) = sP6_iProver_def
| sP3_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_48038,c_9440]) ).
cnf(c_48056,plain,
( multiply(sP11_iProver_def,sk_c7) = sP11_iProver_def
| sP3_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_48036,c_9981]) ).
cnf(c_48061,plain,
( sk_c7 = identity
| sP3_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_48034,c_3790]) ).
cnf(c_50967,plain,
( identity = sP7_iProver_def
| sP3_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_48061,c_40690]) ).
cnf(c_53274,plain,
( inverse(sP7_iProver_def) = sP7_iProver_def
| sP3_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_50967,c_16732]) ).
cnf(c_54053,plain,
multiply(sk_c2,sP5_iProver_def) = identity,
inference(superposition,[status(thm)],[c_15935,c_87]) ).
cnf(c_54057,plain,
multiply(sk_c2,identity) = inverse(sP5_iProver_def),
inference(superposition,[status(thm)],[c_15935,c_16702]) ).
cnf(c_55584,plain,
( X0 != sP7_iProver_def
| identity != sP7_iProver_def
| X0 = identity ),
inference(instantiation,[status(thm)],[c_1403]) ).
cnf(c_55585,plain,
( sk_c9 != sP7_iProver_def
| identity != sP7_iProver_def
| sk_c9 = identity ),
inference(instantiation,[status(thm)],[c_55584]) ).
cnf(c_57467,plain,
multiply(inverse(sP11_iProver_def),identity) = multiply(sP3_iProver_def,sP5_iProver_def),
inference(superposition,[status(thm)],[c_54053,c_19636]) ).
cnf(c_57623,plain,
inverse(sP5_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_54057,c_16702]) ).
cnf(c_57952,plain,
( sk_c9 != sk_c8
| sk_c9 != identity
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1816,c_16732]) ).
cnf(c_57965,plain,
( sk_c9 != identity
| sk_c9 != sP7_iProver_def
| ~ sP2_iProver_def
| sP3_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_10449,c_57952]) ).
cnf(c_58238,plain,
( sk_c3 = sP12_iProver_def
| sP11_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_46883,c_45641]) ).
cnf(c_58564,plain,
( multiply(sk_c9,sP12_iProver_def) = sP12_iProver_def
| sP11_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_58238,c_439]) ).
cnf(c_60386,plain,
( multiply(sP6_iProver_def,sP6_iProver_def) = sP6_iProver_def
| sk_c8 = sP3_iProver_def
| sP3_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_478,c_48051]) ).
cnf(c_60449,plain,
( multiply(sP11_iProver_def,sP6_iProver_def) = sP11_iProver_def
| sk_c9 = sP5_iProver_def
| sP3_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_448,c_48056]) ).
cnf(c_60882,plain,
multiply(sP3_iProver_def,sP4_iProver_def) = inverse(sP6_iProver_def),
inference(demodulation,[status(thm)],[c_25753,c_16702]) ).
cnf(c_60901,plain,
multiply(sk_c9,inverse(sP6_iProver_def)) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_60882,c_17292]) ).
cnf(c_60989,plain,
multiply(sP6_iProver_def,inverse(sP6_iProver_def)) = multiply(sk_c6,sP4_iProver_def),
inference(superposition,[status(thm)],[c_60901,c_2267]) ).
cnf(c_60992,plain,
multiply(sP6_iProver_def,inverse(sP6_iProver_def)) = identity,
inference(light_normalisation,[status(thm)],[c_60989,c_25638]) ).
cnf(c_70629,plain,
( sP3_iProver_def = sP7_iProver_def
| sP3_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_53274,c_48039]) ).
cnf(c_70766,plain,
( sk_c8 = sP3_iProver_def
| sP3_iProver_def = sP12_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_60386,c_8526,c_19334,c_70629]) ).
cnf(c_70831,plain,
( sP3_iProver_def = sP12_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_70766,c_442]) ).
cnf(c_71214,plain,
( sP3_iProver_def = sP12_iProver_def
| sP0_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_70831,c_442,c_1029,c_10449,c_18196,c_43959,c_50967,c_55585,c_57965,c_70629]) ).
cnf(c_71220,plain,
multiply(sP3_iProver_def,sP5_iProver_def) = inverse(sP11_iProver_def),
inference(demodulation,[status(thm)],[c_57467,c_16702]) ).
cnf(c_71228,plain,
multiply(sk_c9,inverse(sP11_iProver_def)) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_71220,c_17292]) ).
cnf(c_71321,plain,
multiply(sP11_iProver_def,inverse(sP11_iProver_def)) = multiply(sk_c2,sP5_iProver_def),
inference(superposition,[status(thm)],[c_71228,c_2270]) ).
cnf(c_71325,plain,
multiply(sP11_iProver_def,inverse(sP11_iProver_def)) = identity,
inference(light_normalisation,[status(thm)],[c_71321,c_54053]) ).
cnf(c_82768,plain,
( multiply(identity,identity) != identity
| X0 != identity
| multiply(identity,identity) = X0 ),
inference(instantiation,[status(thm)],[c_32569]) ).
cnf(c_82769,plain,
( multiply(identity,identity) != identity
| sk_c9 != identity
| multiply(identity,identity) = sk_c9 ),
inference(instantiation,[status(thm)],[c_82768]) ).
cnf(c_85144,plain,
sP3_iProver_def = sP12_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_60449,c_987,c_1039,c_1396,c_1915,c_10449,c_16794,c_43959,c_50967,c_55585,c_71214,c_82769]) ).
cnf(c_85154,plain,
( multiply(sk_c9,sP3_iProver_def) = sP3_iProver_def
| sP11_iProver_def = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_58564,c_85144]) ).
cnf(c_85190,plain,
( multiply(sk_c9,sP3_iProver_def) = sP3_iProver_def
| sP13_iProver_def = sP14_iProver_def ),
inference(demodulation,[status(thm)],[c_41749,c_85144]) ).
cnf(c_85314,plain,
( sk_c9 = sP4_iProver_def
| sP3_iProver_def = sP14_iProver_def ),
inference(demodulation,[status(thm)],[c_4756,c_85144]) ).
cnf(c_85322,plain,
multiply(sP3_iProver_def,sP3_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_3791,c_85144]) ).
cnf(c_85329,plain,
multiply(sk_c9,sk_c3) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_439,c_85144]) ).
cnf(c_85452,plain,
( identity = sP3_iProver_def
| sP13_iProver_def = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_85190,c_17289]) ).
cnf(c_85473,plain,
( identity = sP3_iProver_def
| sP11_iProver_def = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_85154,c_17289]) ).
cnf(c_102462,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_85473,c_85452,c_85329,c_85322,c_85314,c_85144,c_71325,c_71321,c_60992,c_60989,c_57623,c_40783,c_40767,c_40418,c_39595,c_31630,c_31601,c_25635,c_20698,c_20695,c_20661,c_20174,c_20168,c_19596,c_18331,c_17828,c_17293,c_17289,c_16745,c_16744,c_16743,c_16740,c_16738,c_16737,c_16736,c_16722,c_16720,c_16719,c_16718,c_16717,c_16714,c_16713,c_16712,c_16732,c_15789,c_9981,c_9807,c_8838,c_8831,c_6915,c_4206,c_3469,c_2071,c_913,c_482,c_478,c_476,c_470,c_458,c_452,c_451,c_450,c_449,c_448,c_447,c_442,c_431,c_430]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GRP237-1 : TPTP v8.2.0. Released v2.5.0.
% 0.00/0.08 % Command : run_iprover %s %d THM
% 0.06/0.27 % Computer : n022.cluster.edu
% 0.06/0.27 % Model : x86_64 x86_64
% 0.06/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.27 % Memory : 8042.1875MB
% 0.06/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.27 % CPULimit : 300
% 0.06/0.27 % WCLimit : 300
% 0.06/0.27 % DateTime : Thu Jun 20 13:20:54 EDT 2024
% 0.06/0.27 % CPUTime :
% 0.12/0.37 Running first-order theorem proving
% 0.12/0.37 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 20.66/3.57 % SZS status Started for theBenchmark.p
% 20.66/3.57 % SZS status Unsatisfiable for theBenchmark.p
% 20.66/3.57
% 20.66/3.57 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 20.66/3.57
% 20.66/3.57 ------ iProver source info
% 20.66/3.57
% 20.66/3.57 git: date: 2024-06-12 09:56:46 +0000
% 20.66/3.57 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 20.66/3.57 git: non_committed_changes: false
% 20.66/3.57
% 20.66/3.57 ------ Parsing...successful
% 20.66/3.57
% 20.66/3.57
% 20.66/3.57
% 20.66/3.57 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 20.66/3.57
% 20.66/3.57 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 20.66/3.57
% 20.66/3.57 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 20.66/3.57 ------ Proving...
% 20.66/3.57 ------ Problem Properties
% 20.66/3.57
% 20.66/3.57
% 20.66/3.57 clauses 55
% 20.66/3.57 conjectures 40
% 20.66/3.57 EPR 37
% 20.66/3.57 Horn 18
% 20.66/3.57 unary 15
% 20.66/3.57 binary 36
% 20.66/3.57 lits 100
% 20.66/3.57 lits eq 94
% 20.66/3.57 fd_pure 0
% 20.66/3.57 fd_pseudo 0
% 20.66/3.57 fd_cond 0
% 20.66/3.57 fd_pseudo_cond 0
% 20.66/3.57 AC symbols 0
% 20.66/3.57
% 20.66/3.57 ------ Schedule dynamic 5 is on
% 20.66/3.57
% 20.66/3.57 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 20.66/3.57
% 20.66/3.57
% 20.66/3.57 ------
% 20.66/3.57 Current options:
% 20.66/3.57 ------
% 20.66/3.57
% 20.66/3.57
% 20.66/3.57
% 20.66/3.57
% 20.66/3.57 ------ Proving...
% 20.66/3.57
% 20.66/3.57
% 20.66/3.57 % SZS status Unsatisfiable for theBenchmark.p
% 20.66/3.57
% 20.66/3.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.66/3.57
% 20.66/3.57
%------------------------------------------------------------------------------