TSTP Solution File: GRP287-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP287-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:22:03 EDT 2024
% Result : Unsatisfiable 8.27s 1.67s
% Output : CNFRefutation 8.27s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| 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
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| 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
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( inverse(sk_c3) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,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_16) ).
cnf(c_65,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_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,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_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( inverse(sk_c3) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c2) = 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_c7,sk_c6) != sk_c5
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c7
| inverse(X1) != sk_c6
| inverse(X2) != sk_c6
| 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_c6
| ~ 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_c7,sk_c6) != sk_c5
| multiply(sk_c6,sk_c7) != sk_c5
| 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_c7,sk_c6) = sP4_iProver_def,
definition ).
cnf(c_336,plain,
multiply(sk_c6,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_c2) = sP7_iProver_def,
definition ).
cnf(c_339,plain,
inverse(sk_c4) = sP8_iProver_def,
definition ).
cnf(c_340,plain,
inverse(sk_c3) = sP9_iProver_def,
definition ).
cnf(c_341,plain,
multiply(sk_c3,sk_c6) = 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_c5
| 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_c6
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_330]) ).
cnf(c_350,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP7_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_73,c_338,c_337]) ).
cnf(c_351,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP8_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_72,c_339]) ).
cnf(c_352,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP9_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_71,c_340]) ).
cnf(c_353,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_70,c_341]) ).
cnf(c_354,negated_conjecture,
( sP5_iProver_def = sk_c5
| sP7_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_69]) ).
cnf(c_355,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP11_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_68,c_342]) ).
cnf(c_356,negated_conjecture,
( sP8_iProver_def = sk_c6
| sP11_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_357,negated_conjecture,
( sP9_iProver_def = sk_c6
| sP11_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_358,negated_conjecture,
( sP10_iProver_def = sk_c7
| sP11_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_359,negated_conjecture,
( sP5_iProver_def = sk_c5
| sP11_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_360,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_63,c_343]) ).
cnf(c_361,negated_conjecture,
( sP8_iProver_def = sk_c6
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_362,negated_conjecture,
( sP9_iProver_def = sk_c6
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_363,negated_conjecture,
( sP10_iProver_def = sk_c7
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_364,negated_conjecture,
( sP5_iProver_def = sk_c5
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_365,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_58,c_344]) ).
cnf(c_366,negated_conjecture,
( sP8_iProver_def = sk_c6
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_367,negated_conjecture,
( sP9_iProver_def = sk_c6
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_368,negated_conjecture,
( sP10_iProver_def = sk_c7
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_369,negated_conjecture,
( sP5_iProver_def = sk_c5
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_370,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP6_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_371,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP8_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_372,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP9_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_373,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_374,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP5_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_637,plain,
( multiply(sP9_iProver_def,sk_c7) = sP5_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_352,c_336]) ).
cnf(c_700,plain,
( multiply(sP12_iProver_def,sk_c6) = sP4_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_360,c_335]) ).
cnf(c_715,plain,
( multiply(sP12_iProver_def,sk_c6) = sP4_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_361,c_335]) ).
cnf(c_730,plain,
( multiply(sP12_iProver_def,sk_c6) = sP4_iProver_def
| sk_c6 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_362,c_335]) ).
cnf(c_806,plain,
( sk_c6 = sP6_iProver_def
| sP7_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_365,c_350]) ).
cnf(c_833,plain,
( multiply(sk_c2,sP7_iProver_def) = sP11_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_350,c_342]) ).
cnf(c_845,plain,
( multiply(sk_c1,sP12_iProver_def) = sP13_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_363,c_344]) ).
cnf(c_848,plain,
( multiply(sk_c1,sP12_iProver_def) = sP13_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_360,c_344]) ).
cnf(c_875,plain,
multiply(sP9_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_340,c_76]) ).
cnf(c_876,plain,
multiply(sP8_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_339,c_76]) ).
cnf(c_877,plain,
multiply(sP12_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_343,c_76]) ).
cnf(c_878,plain,
multiply(sP7_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_338,c_76]) ).
cnf(c_988,plain,
( multiply(sP10_iProver_def,sk_c6) = sP4_iProver_def
| sk_c6 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_368,c_335]) ).
cnf(c_1082,plain,
( sk_c6 = sP6_iProver_def
| sP4_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_370,c_355]) ).
cnf(c_1516,plain,
multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_336,c_77]) ).
cnf(c_1517,plain,
multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sP10_iProver_def,X0),
inference(superposition,[status(thm)],[c_341,c_77]) ).
cnf(c_1520,plain,
multiply(sk_c2,multiply(sk_c6,X0)) = multiply(sP11_iProver_def,X0),
inference(superposition,[status(thm)],[c_342,c_77]) ).
cnf(c_1522,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_76,c_77]) ).
cnf(c_1524,plain,
multiply(sP9_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_875,c_77]) ).
cnf(c_1525,plain,
multiply(sP8_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_876,c_77]) ).
cnf(c_1526,plain,
multiply(sP12_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_877,c_77]) ).
cnf(c_1527,plain,
multiply(sP7_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_878,c_77]) ).
cnf(c_1529,plain,
multiply(sP7_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1527,c_75]) ).
cnf(c_1530,plain,
multiply(sP12_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1526,c_75]) ).
cnf(c_1531,plain,
multiply(sP8_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1525,c_75]) ).
cnf(c_1532,plain,
multiply(sP9_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1524,c_75]) ).
cnf(c_1982,plain,
multiply(sP7_iProver_def,sP11_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_342,c_1529]) ).
cnf(c_1991,plain,
( inverse(sk_c6) != sk_c7
| sk_c6 != sP5_iProver_def
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_336,c_346]) ).
cnf(c_1993,plain,
( inverse(identity) != sk_c7
| sk_c7 != sk_c6
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_75,c_346]) ).
cnf(c_1994,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c6 != identity
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_76,c_346]) ).
cnf(c_2248,plain,
( inverse(sk_c3) != sk_c6
| sk_c5 != sP10_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_341,c_348]) ).
cnf(c_2272,plain,
( sk_c6 != sP9_iProver_def
| sk_c5 != sP10_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2248,c_340]) ).
cnf(c_2397,plain,
( inverse(sk_c7) != sk_c6
| sk_c7 != sP4_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_335,c_349]) ).
cnf(c_2400,plain,
( inverse(identity) != sk_c6
| sk_c7 != sk_c6
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_75,c_349]) ).
cnf(c_2838,plain,
multiply(sP12_iProver_def,sP13_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_344,c_1530]) ).
cnf(c_2848,plain,
multiply(sP8_iProver_def,sP6_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_337,c_1531]) ).
cnf(c_2860,plain,
multiply(sP9_iProver_def,sP10_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_341,c_1532]) ).
cnf(c_2872,plain,
multiply(sP9_iProver_def,multiply(sP10_iProver_def,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_2860,c_77]) ).
cnf(c_2918,plain,
( multiply(sP9_iProver_def,sP10_iProver_def) = sP5_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_353,c_637]) ).
cnf(c_2921,plain,
( sk_c6 = sP5_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2918,c_2860]) ).
cnf(c_3250,plain,
( multiply(sk_c2,sP7_iProver_def) = sP11_iProver_def
| sk_c6 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_2921,c_342]) ).
cnf(c_3253,plain,
( multiply(sP7_iProver_def,sk_c7) = sP5_iProver_def
| sk_c6 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_2921,c_336]) ).
cnf(c_3254,plain,
( multiply(sk_c7,sP7_iProver_def) = sP4_iProver_def
| sk_c6 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_2921,c_335]) ).
cnf(c_3504,plain,
( multiply(sP12_iProver_def,sP13_iProver_def) = sP4_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_365,c_700]) ).
cnf(c_3511,plain,
( sk_c7 = sP4_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3504,c_2838]) ).
cnf(c_3622,plain,
( multiply(sP12_iProver_def,sP13_iProver_def) = sP4_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_366,c_715]) ).
cnf(c_3630,plain,
( sk_c7 = sP4_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3622,c_2838]) ).
cnf(c_3710,plain,
( multiply(sP12_iProver_def,sP13_iProver_def) = sP4_iProver_def
| sk_c6 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_367,c_730]) ).
cnf(c_3719,plain,
( sk_c7 = sP4_iProver_def
| sk_c6 = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3710,c_2838]) ).
cnf(c_3806,plain,
( sk_c6 = sP6_iProver_def
| sP4_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_3511,c_360]) ).
cnf(c_6085,plain,
multiply(sk_c6,sP4_iProver_def) = multiply(sP5_iProver_def,sk_c6),
inference(superposition,[status(thm)],[c_335,c_1516]) ).
cnf(c_6240,plain,
( multiply(sP5_iProver_def,sP6_iProver_def) = multiply(sP6_iProver_def,sP4_iProver_def)
| sP4_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_3806,c_6085]) ).
cnf(c_6241,plain,
( multiply(sP5_iProver_def,sP7_iProver_def) = multiply(sP7_iProver_def,sP4_iProver_def)
| sk_c6 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_2921,c_6085]) ).
cnf(c_6244,plain,
( multiply(sP5_iProver_def,sP6_iProver_def) = multiply(sP6_iProver_def,sP4_iProver_def)
| sP4_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1082,c_6085]) ).
cnf(c_6245,plain,
( multiply(sP5_iProver_def,sP6_iProver_def) = multiply(sP6_iProver_def,sP4_iProver_def)
| sP7_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_806,c_6085]) ).
cnf(c_6338,plain,
multiply(sk_c3,sP5_iProver_def) = multiply(sP10_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_336,c_1517]) ).
cnf(c_6346,plain,
multiply(sk_c3,multiply(sP5_iProver_def,sk_c6)) = multiply(sP10_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_6085,c_1517]) ).
cnf(c_6760,plain,
multiply(sk_c2,sP5_iProver_def) = multiply(sP11_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_336,c_1520]) ).
cnf(c_8230,plain,
( multiply(sk_c6,sk_c6) = multiply(sP9_iProver_def,sP4_iProver_def)
| sk_c6 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_988,c_2872]) ).
cnf(c_9043,plain,
( multiply(sP7_iProver_def,sP4_iProver_def) = sP5_iProver_def
| sk_c6 = sP5_iProver_def
| sk_c6 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_3719,c_3253]) ).
cnf(c_9044,plain,
( multiply(sP7_iProver_def,sP4_iProver_def) = sP5_iProver_def
| sk_c6 = sP5_iProver_def
| sk_c6 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_3630,c_3253]) ).
cnf(c_9045,plain,
( multiply(sP7_iProver_def,sP4_iProver_def) = sP5_iProver_def
| sk_c6 = sP5_iProver_def
| sk_c6 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_3511,c_3253]) ).
cnf(c_9086,plain,
( multiply(sk_c6,sP4_iProver_def) = multiply(sP5_iProver_def,sP7_iProver_def)
| sk_c6 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_3254,c_1516]) ).
cnf(c_9087,plain,
( multiply(sP5_iProver_def,sk_c6) = multiply(sP5_iProver_def,sP7_iProver_def)
| sk_c6 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_9086,c_6085]) ).
cnf(c_10144,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1522,c_75]) ).
cnf(c_10149,plain,
multiply(inverse(sk_c7),sP4_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_335,c_10144]) ).
cnf(c_10150,plain,
multiply(inverse(sk_c6),sP5_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_336,c_10144]) ).
cnf(c_10155,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_75,c_10144]) ).
cnf(c_10156,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_76,c_10144]) ).
cnf(c_10165,plain,
( multiply(inverse(sk_c7),sP4_iProver_def) = sP7_iProver_def
| sk_c6 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_3254,c_10144]) ).
cnf(c_10243,plain,
multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_1532,c_10144]) ).
cnf(c_10244,plain,
multiply(inverse(sP8_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_1531,c_10144]) ).
cnf(c_10245,plain,
multiply(inverse(sP12_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_1530,c_10144]) ).
cnf(c_10246,plain,
multiply(inverse(sP7_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_1529,c_10144]) ).
cnf(c_10257,plain,
multiply(inverse(sk_c6),multiply(sP5_iProver_def,sk_c6)) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_6085,c_10144]) ).
cnf(c_10286,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_10144,c_10144]) ).
cnf(c_11013,plain,
( inverse(inverse(identity)) != sk_c6
| sk_c6 != sk_c5
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_10155,c_348]) ).
cnf(c_11014,plain,
( inverse(inverse(identity)) != sk_c6
| sk_c6 != sk_c5
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_10155,c_347]) ).
cnf(c_11029,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_10156,c_10286]) ).
cnf(c_11051,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_11029,c_10155]) ).
cnf(c_12298,plain,
multiply(sk_c3,sP9_iProver_def) = identity,
inference(superposition,[status(thm)],[c_10243,c_76]) ).
cnf(c_12301,plain,
( multiply(sk_c3,sk_c6) != sk_c7
| inverse(inverse(sP9_iProver_def)) != sk_c6
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_10243,c_349]) ).
cnf(c_12303,plain,
( multiply(sk_c3,sk_c5) != sk_c6
| inverse(inverse(sP9_iProver_def)) != sk_c6
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_10243,c_347]) ).
cnf(c_12305,plain,
multiply(sk_c3,identity) = inverse(sP9_iProver_def),
inference(superposition,[status(thm)],[c_10243,c_11029]) ).
cnf(c_12313,plain,
( inverse(inverse(sP9_iProver_def)) != sk_c6
| sk_c7 != sP10_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12301,c_341]) ).
cnf(c_12402,plain,
inverse(sP9_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_12305,c_11029]) ).
cnf(c_13075,plain,
multiply(sk_c4,sP8_iProver_def) = identity,
inference(superposition,[status(thm)],[c_10244,c_76]) ).
cnf(c_13079,plain,
( multiply(sk_c4,sk_c6) != sk_c5
| inverse(inverse(sP8_iProver_def)) != sk_c6
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_10244,c_348]) ).
cnf(c_13080,plain,
( multiply(sk_c4,sk_c5) != sk_c6
| inverse(inverse(sP8_iProver_def)) != sk_c6
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_10244,c_347]) ).
cnf(c_13082,plain,
multiply(sk_c4,identity) = inverse(sP8_iProver_def),
inference(superposition,[status(thm)],[c_10244,c_11029]) ).
cnf(c_13083,plain,
( inverse(inverse(sP8_iProver_def)) != sk_c6
| sk_c6 != sP6_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_13080,c_337]) ).
cnf(c_13141,plain,
inverse(sP8_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_13082,c_11029]) ).
cnf(c_14089,plain,
multiply(sk_c1,sP12_iProver_def) = identity,
inference(superposition,[status(thm)],[c_10245,c_76]) ).
cnf(c_14116,plain,
( sk_c6 = sP6_iProver_def
| identity = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_848,c_14089]) ).
cnf(c_14119,plain,
( sk_c7 = sP10_iProver_def
| identity = sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_845,c_14089]) ).
cnf(c_14751,plain,
( multiply(sP5_iProver_def,sP6_iProver_def) = multiply(sP6_iProver_def,sP4_iProver_def)
| identity = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_14116,c_6085]) ).
cnf(c_16428,plain,
multiply(sk_c2,sP7_iProver_def) = identity,
inference(superposition,[status(thm)],[c_10246,c_76]) ).
cnf(c_16432,plain,
( multiply(sk_c2,sk_c6) != sk_c5
| inverse(inverse(sP7_iProver_def)) != sk_c6
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_10246,c_348]) ).
cnf(c_16434,plain,
multiply(sk_c2,multiply(sP7_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_10246,c_10144]) ).
cnf(c_16435,plain,
multiply(sk_c2,identity) = inverse(sP7_iProver_def),
inference(superposition,[status(thm)],[c_10246,c_11029]) ).
cnf(c_16439,plain,
( inverse(inverse(sP7_iProver_def)) != sk_c6
| sk_c5 != sP11_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_16432,c_342]) ).
cnf(c_16450,plain,
( sk_c6 = sP5_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_3250,c_16428]) ).
cnf(c_16452,plain,
( sk_c6 = sP6_iProver_def
| identity = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_833,c_16428]) ).
cnf(c_16467,plain,
inverse(sP7_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_16435,c_11029]) ).
cnf(c_16673,plain,
( sk_c7 != sk_c6
| sk_c7 != identity
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1993,c_11051]) ).
cnf(c_17217,plain,
( sk_c7 != sk_c6
| sk_c6 != identity
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2400,c_11051]) ).
cnf(c_17732,plain,
( inverse(sP5_iProver_def) != sk_c7
| sk_c6 != sP5_iProver_def
| ~ sP3_iProver_def
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_16450,c_1991]) ).
cnf(c_17794,plain,
( sk_c6 = sP7_iProver_def
| identity = sP11_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_16450,c_352]) ).
cnf(c_17795,plain,
( sk_c6 = sP7_iProver_def
| identity = sP11_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_16450,c_351]) ).
cnf(c_18304,plain,
( identity = sP11_iProver_def
| sP5_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_16452,c_16450]) ).
cnf(c_18331,plain,
( multiply(sP5_iProver_def,sP6_iProver_def) = multiply(sP6_iProver_def,sP4_iProver_def)
| identity = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_16452,c_6085]) ).
cnf(c_18842,plain,
( multiply(sk_c2,sP5_iProver_def) = sk_c7
| sk_c6 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_3253,c_16434]) ).
cnf(c_18873,plain,
( multiply(sP11_iProver_def,sk_c7) = sk_c7
| sk_c6 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_18842,c_6760]) ).
cnf(c_20352,plain,
( multiply(sk_c2,sP7_iProver_def) = sP11_iProver_def
| identity = sP11_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_17794,c_342]) ).
cnf(c_20374,plain,
( identity = sP11_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_20352,c_16428]) ).
cnf(c_20473,plain,
( multiply(sk_c2,sP7_iProver_def) = sP11_iProver_def
| identity = sP11_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_17795,c_342]) ).
cnf(c_20495,plain,
( identity = sP11_iProver_def
| sP5_iProver_def = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_20473,c_16428]) ).
cnf(c_21542,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_20495,c_20374,c_18873,c_18331,c_18304,c_17732,c_17217,c_16673,c_16467,c_16452,c_16450,c_16439,c_16435,c_16428,c_14751,c_14119,c_14089,c_13141,c_13083,c_13079,c_13082,c_13075,c_12402,c_12313,c_12303,c_12305,c_12298,c_11051,c_11014,c_11013,c_10257,c_10165,c_10150,c_10149,c_9087,c_9045,c_9044,c_9043,c_8230,c_6760,c_6346,c_6338,c_6245,c_6244,c_6241,c_6240,c_6085,c_2860,c_2848,c_2838,c_2397,c_2272,c_1994,c_1982,c_374,c_373,c_372,c_371,c_370,c_369,c_364,c_359,c_358,c_357,c_356,c_355,c_354,c_345,c_344,c_342,c_341,c_340,c_339,c_338,c_337,c_336,c_335]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP287-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.14 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 00:01:31 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 8.27/1.67 % SZS status Started for theBenchmark.p
% 8.27/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 8.27/1.67
% 8.27/1.67 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.27/1.67
% 8.27/1.67 ------ iProver source info
% 8.27/1.67
% 8.27/1.67 git: date: 2024-05-02 19:28:25 +0000
% 8.27/1.67 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.27/1.67 git: non_committed_changes: false
% 8.27/1.67
% 8.27/1.67 ------ Parsing...successful
% 8.27/1.67
% 8.27/1.67
% 8.27/1.67
% 8.27/1.67 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 8.27/1.67
% 8.27/1.67 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.27/1.67
% 8.27/1.67 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.27/1.67 ------ Proving...
% 8.27/1.67 ------ Problem Properties
% 8.27/1.67
% 8.27/1.67
% 8.27/1.67 clauses 43
% 8.27/1.67 conjectures 30
% 8.27/1.67 EPR 26
% 8.27/1.67 Horn 17
% 8.27/1.67 unary 13
% 8.27/1.67 binary 25
% 8.27/1.67 lits 81
% 8.27/1.67 lits eq 73
% 8.27/1.67 fd_pure 0
% 8.27/1.67 fd_pseudo 0
% 8.27/1.67 fd_cond 0
% 8.27/1.67 fd_pseudo_cond 0
% 8.27/1.67 AC symbols 0
% 8.27/1.67
% 8.27/1.67 ------ Schedule dynamic 5 is on
% 8.27/1.67
% 8.27/1.67 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.27/1.67
% 8.27/1.67
% 8.27/1.67 ------
% 8.27/1.67 Current options:
% 8.27/1.67 ------
% 8.27/1.67
% 8.27/1.67
% 8.27/1.67
% 8.27/1.67
% 8.27/1.67 ------ Proving...
% 8.27/1.67
% 8.27/1.67
% 8.27/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 8.27/1.67
% 8.27/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.27/1.67
% 8.27/1.68
%------------------------------------------------------------------------------