TSTP Solution File: GRP262-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP262-1 : TPTP v8.1.2. 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 : Fri May 3 02:21:57 EDT 2024
% Result : Unsatisfiable 7.70s 1.62s
% Output : CNFRefutation 7.70s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c2,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| multiply(X1,sk_c6) != sk_c5
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c5) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| multiply(sk_c5,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| inverse(X1) != sk_c6
| inverse(X2) != sk_c7
| inverse(X3) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_76,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_77,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_330,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_74]) ).
cnf(c_331,negated_conjecture,
( multiply(X0,sk_c6) != sk_c5
| inverse(X0) != sk_c6
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_74]) ).
cnf(c_332,negated_conjecture,
( multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c6
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_74]) ).
cnf(c_333,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_74]) ).
cnf(c_334,negated_conjecture,
( multiply(sk_c6,sk_c7) != sk_c5
| multiply(sk_c5,sk_c7) != sk_c6
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_74]) ).
cnf(c_335,plain,
multiply(sk_c6,sk_c7) = sP4_iProver_def,
definition ).
cnf(c_336,plain,
multiply(sk_c5,sk_c7) = sP5_iProver_def,
definition ).
cnf(c_337,plain,
multiply(sk_c4,sk_c5) = sP6_iProver_def,
definition ).
cnf(c_338,plain,
inverse(sk_c4) = sP7_iProver_def,
definition ).
cnf(c_339,plain,
multiply(sk_c3,sk_c6) = sP8_iProver_def,
definition ).
cnf(c_340,plain,
inverse(sk_c3) = sP9_iProver_def,
definition ).
cnf(c_341,plain,
inverse(sk_c2) = sP10_iProver_def,
definition ).
cnf(c_342,plain,
multiply(sk_c2,sk_c6) = sP11_iProver_def,
definition ).
cnf(c_343,plain,
inverse(sk_c1) = sP12_iProver_def,
definition ).
cnf(c_344,plain,
multiply(sk_c1,sk_c7) = sP13_iProver_def,
definition ).
cnf(c_345,negated_conjecture,
( sP4_iProver_def != sk_c5
| sP5_iProver_def != sk_c6
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_334,c_336,c_335]) ).
cnf(c_346,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_333]) ).
cnf(c_347,negated_conjecture,
( multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c6
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_332]) ).
cnf(c_348,negated_conjecture,
( multiply(X0,sk_c6) != sk_c5
| inverse(X0) != sk_c6
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_331]) ).
cnf(c_349,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_330]) ).
cnf(c_350,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP6_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_73,c_337]) ).
cnf(c_351,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP7_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_72,c_338]) ).
cnf(c_352,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP8_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_71,c_339]) ).
cnf(c_353,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP9_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_70,c_340]) ).
cnf(c_354,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP5_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_69]) ).
cnf(c_355,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP10_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_68,c_341]) ).
cnf(c_356,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP10_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_357,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP10_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_358,negated_conjecture,
( sP9_iProver_def = sk_c7
| sP10_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_359,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP10_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_360,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP11_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_63,c_342]) ).
cnf(c_361,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP11_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_362,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP11_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_363,negated_conjecture,
( sP9_iProver_def = sk_c7
| sP11_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_364,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP11_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_365,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_58,c_343]) ).
cnf(c_366,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_367,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_368,negated_conjecture,
( sP9_iProver_def = sk_c7
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_369,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_370,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_53,c_344]) ).
cnf(c_371,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_372,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_373,negated_conjecture,
( sP9_iProver_def = sk_c7
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_374,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_882,plain,
multiply(sP9_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_340,c_76]) ).
cnf(c_883,plain,
multiply(sP7_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_338,c_76]) ).
cnf(c_884,plain,
multiply(sP12_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_343,c_76]) ).
cnf(c_885,plain,
multiply(sP10_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_341,c_76]) ).
cnf(c_1515,plain,
multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sP8_iProver_def,X0),
inference(superposition,[status(thm)],[c_339,c_77]) ).
cnf(c_1516,plain,
multiply(sk_c4,multiply(sk_c5,X0)) = multiply(sP6_iProver_def,X0),
inference(superposition,[status(thm)],[c_337,c_77]) ).
cnf(c_1517,plain,
multiply(sk_c2,multiply(sk_c6,X0)) = multiply(sP11_iProver_def,X0),
inference(superposition,[status(thm)],[c_342,c_77]) ).
cnf(c_1520,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_76,c_77]) ).
cnf(c_1522,plain,
multiply(sP9_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_882,c_77]) ).
cnf(c_1523,plain,
multiply(sP7_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_883,c_77]) ).
cnf(c_1524,plain,
multiply(sP12_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_884,c_77]) ).
cnf(c_1525,plain,
multiply(sP10_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_885,c_77]) ).
cnf(c_1527,plain,
multiply(sP10_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1525,c_75]) ).
cnf(c_1528,plain,
multiply(sP12_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1524,c_75]) ).
cnf(c_1529,plain,
multiply(sP7_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1523,c_75]) ).
cnf(c_1530,plain,
multiply(sP9_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1522,c_75]) ).
cnf(c_1979,plain,
( inverse(sk_c1) != sk_c7
| sk_c6 != sP13_iProver_def
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_344,c_346]) ).
cnf(c_1980,plain,
( inverse(sk_c6) != sk_c7
| sk_c6 != sP4_iProver_def
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_335,c_346]) ).
cnf(c_2004,plain,
( sk_c7 != sP12_iProver_def
| sk_c6 != sP13_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1979,c_343]) ).
cnf(c_2148,plain,
( inverse(sk_c4) != sk_c6
| sk_c6 != sP6_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_337,c_347]) ).
cnf(c_2164,plain,
( sk_c6 != sP6_iProver_def
| sk_c6 != sP7_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2148,c_338]) ).
cnf(c_2249,plain,
( inverse(sk_c2) != sk_c6
| sk_c5 != sP11_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_342,c_348]) ).
cnf(c_2268,plain,
( sk_c6 != sP10_iProver_def
| sk_c5 != sP11_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2249,c_341]) ).
cnf(c_2385,plain,
( inverse(sk_c3) != sk_c7
| sk_c7 != sP8_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_339,c_349]) ).
cnf(c_2387,plain,
( inverse(identity) != sk_c7
| sk_c7 != sk_c6
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_75,c_349]) ).
cnf(c_2409,plain,
( sk_c7 != sP8_iProver_def
| sk_c7 != sP9_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2385,c_340]) ).
cnf(c_2920,plain,
multiply(sP7_iProver_def,sP6_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_337,c_1529]) ).
cnf(c_2931,plain,
multiply(sP9_iProver_def,sP8_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_339,c_1530]) ).
cnf(c_5956,plain,
multiply(sk_c3,sP4_iProver_def) = multiply(sP8_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_335,c_1515]) ).
cnf(c_6116,plain,
multiply(sk_c4,sP5_iProver_def) = multiply(sP6_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_336,c_1516]) ).
cnf(c_6376,plain,
multiply(sP7_iProver_def,multiply(sP6_iProver_def,sk_c7)) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_6116,c_1529]) ).
cnf(c_6422,plain,
multiply(sk_c2,sP4_iProver_def) = multiply(sP11_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_335,c_1517]) ).
cnf(c_7005,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1520,c_75]) ).
cnf(c_7011,plain,
multiply(inverse(sk_c6),sP4_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_335,c_7005]) ).
cnf(c_7015,plain,
multiply(inverse(sk_c5),sP5_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_336,c_7005]) ).
cnf(c_7016,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_75,c_7005]) ).
cnf(c_7017,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_76,c_7005]) ).
cnf(c_7114,plain,
multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_1530,c_7005]) ).
cnf(c_7115,plain,
multiply(inverse(sP7_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_1529,c_7005]) ).
cnf(c_7116,plain,
multiply(inverse(sP12_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_1528,c_7005]) ).
cnf(c_7117,plain,
multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_1527,c_7005]) ).
cnf(c_7147,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_7005,c_7005]) ).
cnf(c_7814,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_7017,c_7147]) ).
cnf(c_7839,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_7814,c_7016]) ).
cnf(c_8453,plain,
multiply(sk_c3,sP9_iProver_def) = identity,
inference(superposition,[status(thm)],[c_7114,c_76]) ).
cnf(c_8456,plain,
( multiply(sk_c3,sk_c6) != sk_c7
| inverse(inverse(sP9_iProver_def)) != sk_c7
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_7114,c_349]) ).
cnf(c_8460,plain,
multiply(sk_c3,identity) = inverse(sP9_iProver_def),
inference(superposition,[status(thm)],[c_7114,c_7814]) ).
cnf(c_8468,plain,
( inverse(inverse(sP9_iProver_def)) != sk_c7
| sk_c7 != sP8_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8456,c_339]) ).
cnf(c_8681,plain,
inverse(sP9_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_8460,c_7814]) ).
cnf(c_8696,plain,
( multiply(sk_c4,sk_c7) != sk_c6
| inverse(inverse(sP7_iProver_def)) != sk_c7
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_7115,c_346]) ).
cnf(c_8697,plain,
multiply(sk_c4,sP7_iProver_def) = identity,
inference(superposition,[status(thm)],[c_7115,c_76]) ).
cnf(c_8701,plain,
( multiply(sk_c4,sk_c6) != sk_c5
| inverse(inverse(sP7_iProver_def)) != sk_c6
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_7115,c_348]) ).
cnf(c_8704,plain,
multiply(sk_c4,identity) = inverse(sP7_iProver_def),
inference(superposition,[status(thm)],[c_7115,c_7814]) ).
cnf(c_9380,plain,
inverse(sP7_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_8704,c_7814]) ).
cnf(c_9479,plain,
( multiply(sk_c1,sk_c7) != sk_c6
| inverse(inverse(sP12_iProver_def)) != sk_c7
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_7116,c_346]) ).
cnf(c_9480,plain,
multiply(sk_c1,sP12_iProver_def) = identity,
inference(superposition,[status(thm)],[c_7116,c_76]) ).
cnf(c_9487,plain,
multiply(sk_c1,identity) = inverse(sP12_iProver_def),
inference(superposition,[status(thm)],[c_7116,c_7814]) ).
cnf(c_9497,plain,
( inverse(inverse(sP12_iProver_def)) != sk_c7
| sk_c6 != sP13_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_9479,c_344]) ).
cnf(c_9766,plain,
( sk_c7 != sk_c6
| sk_c7 != identity
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2387,c_7839]) ).
cnf(c_11342,plain,
inverse(sP12_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_9487,c_7814]) ).
cnf(c_11681,plain,
multiply(sk_c2,sP10_iProver_def) = identity,
inference(superposition,[status(thm)],[c_7117,c_76]) ).
cnf(c_11685,plain,
( multiply(sk_c2,sk_c6) != sk_c5
| inverse(inverse(sP10_iProver_def)) != sk_c6
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_7117,c_348]) ).
cnf(c_11686,plain,
( multiply(sk_c2,sk_c5) != sk_c6
| inverse(inverse(sP10_iProver_def)) != sk_c6
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_7117,c_347]) ).
cnf(c_11688,plain,
multiply(sk_c2,identity) = inverse(sP10_iProver_def),
inference(superposition,[status(thm)],[c_7117,c_7814]) ).
cnf(c_11696,plain,
( inverse(inverse(sP10_iProver_def)) != sk_c6
| sk_c5 != sP11_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_11685,c_342]) ).
cnf(c_11753,plain,
inverse(sP10_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_11688,c_7814]) ).
cnf(c_12507,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_11753,c_11696,c_11686,c_11688,c_11681,c_11342,c_9766,c_9497,c_9487,c_9480,c_9380,c_8701,c_8696,c_8697,c_8681,c_8468,c_8460,c_8453,c_7015,c_7011,c_6422,c_6376,c_6116,c_5956,c_2931,c_2920,c_2409,c_2268,c_2164,c_2004,c_1980,c_374,c_373,c_372,c_371,c_370,c_369,c_368,c_367,c_366,c_365,c_364,c_363,c_362,c_361,c_360,c_359,c_358,c_357,c_356,c_355,c_354,c_353,c_352,c_351,c_350,c_345,c_344,c_343,c_342,c_341,c_340,c_339,c_338,c_337,c_336,c_335]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GRP262-1 : TPTP v8.1.2. Released v2.5.0.
% 0.09/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 23:36:42 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 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
% 7.70/1.62 % SZS status Started for theBenchmark.p
% 7.70/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 7.70/1.62
% 7.70/1.62 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.70/1.62
% 7.70/1.62 ------ iProver source info
% 7.70/1.62
% 7.70/1.62 git: date: 2024-05-02 19:28:25 +0000
% 7.70/1.62 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.70/1.62 git: non_committed_changes: false
% 7.70/1.62
% 7.70/1.62 ------ Parsing...successful
% 7.70/1.62
% 7.70/1.62
% 7.70/1.62
% 7.70/1.62 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.70/1.62
% 7.70/1.62 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.70/1.62
% 7.70/1.62 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.70/1.62 ------ Proving...
% 7.70/1.62 ------ Problem Properties
% 7.70/1.62
% 7.70/1.62
% 7.70/1.62 clauses 43
% 7.70/1.62 conjectures 30
% 7.70/1.62 EPR 26
% 7.70/1.62 Horn 17
% 7.70/1.62 unary 13
% 7.70/1.62 binary 25
% 7.70/1.62 lits 81
% 7.70/1.62 lits eq 73
% 7.70/1.62 fd_pure 0
% 7.70/1.62 fd_pseudo 0
% 7.70/1.62 fd_cond 0
% 7.70/1.62 fd_pseudo_cond 0
% 7.70/1.62 AC symbols 0
% 7.70/1.62
% 7.70/1.62 ------ Schedule dynamic 5 is on
% 7.70/1.62
% 7.70/1.62 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.70/1.62
% 7.70/1.62
% 7.70/1.62 ------
% 7.70/1.62 Current options:
% 7.70/1.62 ------
% 7.70/1.62
% 7.70/1.62
% 7.70/1.62
% 7.70/1.62
% 7.70/1.62 ------ Proving...
% 7.70/1.62
% 7.70/1.62
% 7.70/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 7.70/1.62
% 7.70/1.62 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.70/1.62
% 7.70/1.63
%------------------------------------------------------------------------------