TSTP Solution File: GRP707-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP707-1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 07:01:56 EDT 2024
% Result : Unsatisfiable 7.62s 1.65s
% Output : CNFRefutation 7.62s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
cnf(c_50,plain,
ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
cnf(c_51,plain,
mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
cnf(c_52,plain,
rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
cnf(c_53,plain,
mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
cnf(c_54,plain,
mult(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
cnf(c_55,plain,
mult(mult(mult(X0,X1),X1),X2) = mult(X0,mult(X1,mult(X1,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
cnf(c_56,plain,
mult(X0,mult(X0,mult(X0,X0))) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
cnf(c_57,plain,
mult(mult(X0,X0),X1) = mult(X1,mult(X0,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).
cnf(c_58,negated_conjecture,
mult(mult(a,b),a) != mult(a,mult(b,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(c_93,plain,
mult(a,b) = sP0_iProver_def,
definition ).
cnf(c_94,plain,
mult(sP0_iProver_def,a) = sP1_iProver_def,
definition ).
cnf(c_95,plain,
mult(b,a) = sP2_iProver_def,
definition ).
cnf(c_96,plain,
mult(a,sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_97,negated_conjecture,
sP1_iProver_def != sP3_iProver_def,
inference(demodulation,[status(thm)],[c_58,c_95,c_96,c_93,c_94]) ).
cnf(c_161,plain,
ld(a,sP0_iProver_def) = b,
inference(superposition,[status(thm)],[c_93,c_50]) ).
cnf(c_162,plain,
ld(b,sP2_iProver_def) = a,
inference(superposition,[status(thm)],[c_95,c_50]) ).
cnf(c_163,plain,
ld(sP0_iProver_def,sP1_iProver_def) = a,
inference(superposition,[status(thm)],[c_94,c_50]) ).
cnf(c_164,plain,
ld(a,sP3_iProver_def) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_96,c_50]) ).
cnf(c_166,plain,
ld(rd(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_51,c_50]) ).
cnf(c_168,plain,
rd(X0,ld(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_49,c_52]) ).
cnf(c_169,plain,
rd(X0,unit) = X0,
inference(superposition,[status(thm)],[c_53,c_52]) ).
cnf(c_170,plain,
rd(X0,X0) = unit,
inference(superposition,[status(thm)],[c_54,c_52]) ).
cnf(c_172,plain,
rd(sP2_iProver_def,a) = b,
inference(superposition,[status(thm)],[c_95,c_52]) ).
cnf(c_178,plain,
mult(X0,mult(X0,X0)) = ld(X0,unit),
inference(superposition,[status(thm)],[c_56,c_50]) ).
cnf(c_186,plain,
rd(mult(X0,mult(X1,X1)),X0) = mult(X1,X1),
inference(superposition,[status(thm)],[c_57,c_52]) ).
cnf(c_191,plain,
mult(mult(X0,X0),rd(X1,mult(X0,X0))) = X1,
inference(superposition,[status(thm)],[c_57,c_51]) ).
cnf(c_198,plain,
mult(mult(X0,mult(X0,X0)),X1) = mult(X0,mult(X0,mult(X0,X1))),
inference(superposition,[status(thm)],[c_57,c_55]) ).
cnf(c_203,plain,
mult(unit,mult(X0,mult(X0,X1))) = mult(mult(X0,X0),X1),
inference(superposition,[status(thm)],[c_54,c_55]) ).
cnf(c_208,plain,
mult(a,mult(b,mult(b,X0))) = mult(mult(sP0_iProver_def,b),X0),
inference(superposition,[status(thm)],[c_93,c_55]) ).
cnf(c_209,plain,
mult(b,mult(a,mult(a,X0))) = mult(mult(sP2_iProver_def,a),X0),
inference(superposition,[status(thm)],[c_95,c_55]) ).
cnf(c_210,plain,
mult(sP0_iProver_def,mult(a,mult(a,X0))) = mult(mult(sP1_iProver_def,a),X0),
inference(superposition,[status(thm)],[c_94,c_55]) ).
cnf(c_216,plain,
mult(X0,mult(X1,mult(X1,unit))) = mult(mult(X0,X1),X1),
inference(superposition,[status(thm)],[c_55,c_53]) ).
cnf(c_224,plain,
mult(mult(X0,X1),X1) = mult(X0,mult(X1,X1)),
inference(demodulation,[status(thm)],[c_216,c_53]) ).
cnf(c_225,plain,
mult(mult(X0,X0),X1) = mult(X0,mult(X0,X1)),
inference(demodulation,[status(thm)],[c_203,c_54]) ).
cnf(c_229,plain,
mult(X0,mult(X0,mult(X0,X1))) = mult(ld(X0,unit),X1),
inference(demodulation,[status(thm)],[c_198,c_178]) ).
cnf(c_310,plain,
rd(ld(X0,unit),mult(X0,X0)) = X0,
inference(superposition,[status(thm)],[c_178,c_52]) ).
cnf(c_319,plain,
rd(ld(X0,unit),X0) = mult(X0,X0),
inference(superposition,[status(thm)],[c_178,c_186]) ).
cnf(c_379,plain,
ld(mult(X0,X0),X1) = rd(X1,mult(X0,X0)),
inference(superposition,[status(thm)],[c_191,c_50]) ).
cnf(c_452,plain,
mult(rd(X0,X1),mult(X1,X1)) = mult(X0,X1),
inference(superposition,[status(thm)],[c_51,c_224]) ).
cnf(c_461,plain,
mult(a,mult(b,b)) = mult(sP0_iProver_def,b),
inference(superposition,[status(thm)],[c_93,c_224]) ).
cnf(c_462,plain,
mult(b,mult(a,a)) = mult(sP2_iProver_def,a),
inference(superposition,[status(thm)],[c_95,c_224]) ).
cnf(c_463,plain,
mult(sP0_iProver_def,mult(a,a)) = mult(sP1_iProver_def,a),
inference(superposition,[status(thm)],[c_94,c_224]) ).
cnf(c_464,plain,
mult(a,mult(sP2_iProver_def,sP2_iProver_def)) = mult(sP3_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_96,c_224]) ).
cnf(c_468,plain,
rd(mult(X0,mult(X1,X1)),X1) = mult(X0,X1),
inference(superposition,[status(thm)],[c_224,c_52]) ).
cnf(c_469,plain,
ld(mult(X0,X1),mult(X0,mult(X1,X1))) = X1,
inference(superposition,[status(thm)],[c_224,c_50]) ).
cnf(c_471,plain,
mult(mult(X0,mult(X1,X1)),X2) = mult(X0,mult(X1,mult(X1,X2))),
inference(superposition,[status(thm)],[c_224,c_55]) ).
cnf(c_472,plain,
mult(mult(X0,X1),mult(X1,X1)) = mult(X0,mult(X1,mult(X1,X1))),
inference(superposition,[status(thm)],[c_224,c_55]) ).
cnf(c_492,plain,
rd(mult(X0,mult(X0,X1)),X1) = mult(X0,X0),
inference(superposition,[status(thm)],[c_225,c_52]) ).
cnf(c_496,plain,
mult(mult(X0,mult(X0,mult(X0,X0))),X1) = mult(mult(X0,X0),mult(mult(X0,X0),X1)),
inference(superposition,[status(thm)],[c_225,c_225]) ).
cnf(c_508,plain,
mult(X0,mult(X0,X1)) = mult(X1,mult(X0,X0)),
inference(superposition,[status(thm)],[c_225,c_57]) ).
cnf(c_535,plain,
mult(mult(sP0_iProver_def,b),mult(b,b)) = mult(a,unit),
inference(superposition,[status(thm)],[c_56,c_208]) ).
cnf(c_536,plain,
mult(mult(sP0_iProver_def,b),ld(b,X0)) = mult(a,mult(b,X0)),
inference(superposition,[status(thm)],[c_49,c_208]) ).
cnf(c_546,plain,
mult(mult(sP2_iProver_def,a),mult(a,a)) = mult(b,unit),
inference(superposition,[status(thm)],[c_56,c_209]) ).
cnf(c_560,plain,
mult(mult(sP1_iProver_def,a),mult(a,a)) = mult(sP0_iProver_def,unit),
inference(superposition,[status(thm)],[c_56,c_210]) ).
cnf(c_607,plain,
mult(ld(sP0_iProver_def,unit),a) = mult(sP0_iProver_def,mult(sP0_iProver_def,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_94,c_229]) ).
cnf(c_622,plain,
mult(ld(X0,unit),X0) = unit,
inference(superposition,[status(thm)],[c_229,c_56]) ).
cnf(c_623,plain,
mult(X0,mult(X0,mult(mult(X0,X0),mult(mult(X0,X0),X1)))) = mult(ld(mult(X0,X0),unit),X1),
inference(superposition,[status(thm)],[c_229,c_225]) ).
cnf(c_641,plain,
mult(mult(sP1_iProver_def,a),mult(a,a)) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_560,c_53]) ).
cnf(c_644,plain,
mult(mult(sP2_iProver_def,a),mult(a,a)) = b,
inference(demodulation,[status(thm)],[c_546,c_53]) ).
cnf(c_647,plain,
mult(mult(sP0_iProver_def,b),mult(b,b)) = a,
inference(demodulation,[status(thm)],[c_535,c_53]) ).
cnf(c_649,plain,
mult(X0,mult(X0,rd(X1,X0))) = mult(X1,X0),
inference(demodulation,[status(thm)],[c_452,c_508]) ).
cnf(c_664,plain,
mult(X0,mult(X0,mult(X1,X0))) = mult(X1,mult(X0,mult(X0,X0))),
inference(demodulation,[status(thm)],[c_472,c_508]) ).
cnf(c_665,plain,
mult(X0,mult(X0,mult(X1,X0))) = mult(X1,ld(X0,unit)),
inference(demodulation,[status(thm)],[c_664,c_178]) ).
cnf(c_700,plain,
mult(mult(X0,X0),mult(mult(X0,X0),X1)) = mult(mult(X0,ld(X0,unit)),X1),
inference(demodulation,[status(thm)],[c_496,c_665]) ).
cnf(c_701,plain,
mult(X0,mult(ld(X0,unit),X1)) = X1,
inference(demodulation,[status(thm)],[c_700,c_49,c_54,c_225,c_229]) ).
cnf(c_722,plain,
mult(X0,mult(X0,mult(mult(X0,X0),mult(mult(X0,X0),X1)))) = mult(rd(unit,mult(X0,X0)),X1),
inference(demodulation,[status(thm)],[c_623,c_379]) ).
cnf(c_723,plain,
mult(ld(X0,unit),mult(ld(X0,unit),X1)) = mult(rd(unit,mult(X0,X0)),X1),
inference(demodulation,[status(thm)],[c_722,c_225,c_229]) ).
cnf(c_1234,plain,
mult(X0,rd(unit,X0)) = unit,
inference(superposition,[status(thm)],[c_166,c_622]) ).
cnf(c_1238,plain,
ld(X0,unit) = rd(unit,X0),
inference(superposition,[status(thm)],[c_622,c_52]) ).
cnf(c_1315,plain,
rd(sP0_iProver_def,mult(sP1_iProver_def,a)) = mult(a,a),
inference(superposition,[status(thm)],[c_641,c_186]) ).
cnf(c_1357,plain,
rd(rd(unit,mult(X0,X0)),mult(mult(X0,X0),mult(X0,X0))) = mult(X0,X0),
inference(superposition,[status(thm)],[c_379,c_310]) ).
cnf(c_1363,plain,
mult(rd(X0,mult(X1,X1)),X1) = rd(X0,X1),
inference(superposition,[status(thm)],[c_51,c_468]) ).
cnf(c_1365,plain,
rd(mult(X0,mult(mult(X1,X1),mult(X1,X1))),X1) = mult(mult(X0,mult(X1,X1)),X1),
inference(superposition,[status(thm)],[c_224,c_468]) ).
cnf(c_1370,plain,
rd(mult(mult(X0,X0),X1),X0) = mult(X1,X0),
inference(superposition,[status(thm)],[c_57,c_468]) ).
cnf(c_1377,plain,
mult(mult(sP1_iProver_def,a),a) = rd(sP0_iProver_def,a),
inference(superposition,[status(thm)],[c_641,c_468]) ).
cnf(c_1399,plain,
ld(mult(mult(X0,X0),X1),mult(X1,mult(mult(X0,X0),mult(X0,X0)))) = mult(X0,X0),
inference(superposition,[status(thm)],[c_57,c_469]) ).
cnf(c_1413,plain,
ld(mult(sP3_iProver_def,sP2_iProver_def),mult(a,mult(mult(sP2_iProver_def,sP2_iProver_def),mult(sP2_iProver_def,sP2_iProver_def)))) = mult(sP2_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_464,c_469]) ).
cnf(c_1432,plain,
ld(mult(mult(sP2_iProver_def,a),a),b) = a,
inference(superposition,[status(thm)],[c_644,c_469]) ).
cnf(c_1433,plain,
ld(mult(mult(sP1_iProver_def,a),a),sP0_iProver_def) = a,
inference(superposition,[status(thm)],[c_641,c_469]) ).
cnf(c_1445,plain,
ld(ld(X0,unit),X1) = mult(X0,X1),
inference(superposition,[status(thm)],[c_49,c_701]) ).
cnf(c_1462,plain,
mult(ld(X0,unit),X1) = ld(X0,X1),
inference(superposition,[status(thm)],[c_701,c_50]) ).
cnf(c_1477,plain,
mult(rd(unit,X0),X1) = ld(X0,X1),
inference(demodulation,[status(thm)],[c_1462,c_1238]) ).
cnf(c_1480,plain,
ld(rd(unit,X0),X1) = mult(X0,X1),
inference(demodulation,[status(thm)],[c_1445,c_1238]) ).
cnf(c_1481,plain,
ld(mult(sP1_iProver_def,mult(a,a)),sP0_iProver_def) = a,
inference(demodulation,[status(thm)],[c_1433,c_224]) ).
cnf(c_1482,plain,
ld(mult(sP2_iProver_def,mult(a,a)),b) = a,
inference(demodulation,[status(thm)],[c_1432,c_224]) ).
cnf(c_1484,plain,
mult(sP1_iProver_def,mult(a,a)) = rd(sP0_iProver_def,a),
inference(demodulation,[status(thm)],[c_1377,c_224]) ).
cnf(c_1505,plain,
rd(mult(X0,mult(X0,X1)),X0) = mult(X1,X0),
inference(demodulation,[status(thm)],[c_1370,c_225]) ).
cnf(c_1549,plain,
ld(mult(sP3_iProver_def,sP2_iProver_def),a) = mult(sP2_iProver_def,sP2_iProver_def),
inference(demodulation,[status(thm)],[c_1413,c_53,c_56,c_225]) ).
cnf(c_1554,plain,
rd(unit,mult(X0,X0)) = mult(X0,X0),
inference(demodulation,[status(thm)],[c_1357,c_56,c_169,c_225]) ).
cnf(c_1560,plain,
ld(mult(X0,mult(X0,X1)),X1) = mult(X0,X0),
inference(demodulation,[status(thm)],[c_1399,c_53,c_56,c_225]) ).
cnf(c_1563,plain,
mult(X0,ld(X1,unit)) = rd(X0,X1),
inference(demodulation,[status(thm)],[c_1365,c_53,c_56,c_178,c_225,c_471]) ).
cnf(c_1644,plain,
rd(rd(unit,X0),X0) = mult(X0,X0),
inference(superposition,[status(thm)],[c_1238,c_319]) ).
cnf(c_1695,plain,
mult(rd(unit,X0),mult(X1,X1)) = mult(ld(X0,X1),X1),
inference(superposition,[status(thm)],[c_1477,c_224]) ).
cnf(c_1697,plain,
rd(ld(X0,X1),X1) = rd(unit,X0),
inference(superposition,[status(thm)],[c_1477,c_52]) ).
cnf(c_1742,plain,
rd(X0,mult(X1,X0)) = rd(unit,X1),
inference(superposition,[status(thm)],[c_1480,c_168]) ).
cnf(c_1770,plain,
mult(mult(sP1_iProver_def,mult(a,a)),a) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_1481,c_49]) ).
cnf(c_1772,plain,
mult(mult(sP2_iProver_def,mult(a,a)),a) = b,
inference(superposition,[status(thm)],[c_1482,c_49]) ).
cnf(c_1794,plain,
rd(mult(X0,X1),ld(X0,X1)) = mult(X0,X0),
inference(superposition,[status(thm)],[c_49,c_492]) ).
cnf(c_1885,plain,
mult(b,mult(a,a)) = mult(a,sP0_iProver_def),
inference(superposition,[status(thm)],[c_93,c_508]) ).
cnf(c_1886,plain,
mult(sP2_iProver_def,mult(a,a)) = mult(a,sP3_iProver_def),
inference(superposition,[status(thm)],[c_96,c_508]) ).
cnf(c_1912,plain,
mult(mult(X0,mult(X1,X1)),mult(X1,X0)) = mult(X1,mult(mult(X1,X0),mult(X1,X0))),
inference(superposition,[status(thm)],[c_508,c_224]) ).
cnf(c_1915,plain,
ld(X0,mult(X1,mult(X0,X0))) = mult(X0,X1),
inference(superposition,[status(thm)],[c_508,c_50]) ).
cnf(c_1976,plain,
mult(b,mult(b,a)) = mult(sP0_iProver_def,b),
inference(superposition,[status(thm)],[c_508,c_461]) ).
cnf(c_1983,plain,
mult(b,sP2_iProver_def) = mult(sP0_iProver_def,b),
inference(demodulation,[status(thm)],[c_1976,c_95]) ).
cnf(c_1984,plain,
mult(a,sP0_iProver_def) = mult(sP2_iProver_def,a),
inference(demodulation,[status(thm)],[c_1885,c_462]) ).
cnf(c_1987,plain,
mult(mult(a,sP3_iProver_def),a) = b,
inference(demodulation,[status(thm)],[c_1772,c_1886]) ).
cnf(c_1988,plain,
mult(sP1_iProver_def,rd(unit,a)) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_1770,c_178,c_471,c_1238]) ).
cnf(c_2006,plain,
ld(X0,mult(X1,X1)) = mult(ld(X0,X1),X1),
inference(demodulation,[status(thm)],[c_1695,c_1477]) ).
cnf(c_2070,plain,
mult(X0,mult(mult(X0,X1),mult(X0,X1))) = mult(X1,ld(X0,X1)),
inference(demodulation,[status(thm)],[c_1912,c_229,c_471,c_1238,c_1477]) ).
cnf(c_2430,plain,
mult(mult(sP0_iProver_def,b),sP2_iProver_def) = mult(b,mult(sP2_iProver_def,sP2_iProver_def)),
inference(superposition,[status(thm)],[c_1983,c_224]) ).
cnf(c_2433,plain,
ld(b,mult(sP0_iProver_def,b)) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_1983,c_50]) ).
cnf(c_2435,plain,
mult(a,mult(sP2_iProver_def,a)) = mult(sP0_iProver_def,mult(a,a)),
inference(superposition,[status(thm)],[c_1984,c_508]) ).
cnf(c_2438,plain,
mult(a,mult(a,mult(sP2_iProver_def,a))) = mult(ld(a,unit),sP0_iProver_def),
inference(superposition,[status(thm)],[c_1984,c_229]) ).
cnf(c_2445,plain,
mult(a,mult(mult(a,sP3_iProver_def),mult(a,sP3_iProver_def))) = mult(mult(a,sP3_iProver_def),b),
inference(superposition,[status(thm)],[c_1987,c_508]) ).
cnf(c_2459,plain,
ld(sP1_iProver_def,sP0_iProver_def) = rd(unit,a),
inference(superposition,[status(thm)],[c_1988,c_50]) ).
cnf(c_2466,plain,
rd(unit,a) = rd(b,sP0_iProver_def),
inference(superposition,[status(thm)],[c_161,c_1697]) ).
cnf(c_2467,plain,
rd(unit,b) = rd(a,sP2_iProver_def),
inference(superposition,[status(thm)],[c_162,c_1697]) ).
cnf(c_2468,plain,
rd(unit,sP0_iProver_def) = rd(a,sP1_iProver_def),
inference(superposition,[status(thm)],[c_163,c_1697]) ).
cnf(c_2469,plain,
rd(unit,a) = rd(sP2_iProver_def,sP3_iProver_def),
inference(superposition,[status(thm)],[c_164,c_1697]) ).
cnf(c_2470,plain,
rd(unit,rd(X0,X1)) = rd(X1,X0),
inference(superposition,[status(thm)],[c_166,c_1697]) ).
cnf(c_2510,plain,
rd(rd(sP0_iProver_def,a),sP1_iProver_def) = mult(a,a),
inference(superposition,[status(thm)],[c_1484,c_186]) ).
cnf(c_2663,plain,
rd(b,sP0_iProver_def) = rd(sP2_iProver_def,sP3_iProver_def),
inference(demodulation,[status(thm)],[c_2466,c_2469]) ).
cnf(c_2664,plain,
ld(sP1_iProver_def,sP0_iProver_def) = rd(sP2_iProver_def,sP3_iProver_def),
inference(demodulation,[status(thm)],[c_2459,c_2469]) ).
cnf(c_2691,plain,
mult(a,mult(sP2_iProver_def,a)) = mult(sP1_iProver_def,a),
inference(demodulation,[status(thm)],[c_2435,c_463]) ).
cnf(c_2692,plain,
mult(mult(sP0_iProver_def,b),sP2_iProver_def) = mult(sP2_iProver_def,mult(sP2_iProver_def,b)),
inference(demodulation,[status(thm)],[c_2430,c_508]) ).
cnf(c_2700,plain,
mult(ld(a,unit),sP0_iProver_def) = mult(a,mult(sP1_iProver_def,a)),
inference(demodulation,[status(thm)],[c_2438,c_2691]) ).
cnf(c_2701,plain,
mult(a,mult(sP1_iProver_def,a)) = b,
inference(demodulation,[status(thm)],[c_2700,c_161,c_1238,c_1477]) ).
cnf(c_2734,plain,
mult(mult(a,sP3_iProver_def),b) = mult(sP3_iProver_def,sP2_iProver_def),
inference(demodulation,[status(thm)],[c_2445,c_164,c_2070]) ).
cnf(c_2810,plain,
mult(rd(a,sP2_iProver_def),b) = unit,
inference(superposition,[status(thm)],[c_2467,c_51]) ).
cnf(c_2814,plain,
mult(rd(a,sP2_iProver_def),X0) = ld(b,X0),
inference(superposition,[status(thm)],[c_2467,c_1477]) ).
cnf(c_2815,plain,
mult(b,rd(a,sP2_iProver_def)) = unit,
inference(superposition,[status(thm)],[c_2467,c_1234]) ).
cnf(c_2821,plain,
mult(rd(a,sP1_iProver_def),X0) = ld(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_2468,c_1477]) ).
cnf(c_2854,plain,
mult(rd(sP2_iProver_def,sP3_iProver_def),sP0_iProver_def) = b,
inference(superposition,[status(thm)],[c_2663,c_51]) ).
cnf(c_2855,plain,
rd(rd(sP2_iProver_def,sP3_iProver_def),sP0_iProver_def) = rd(unit,sP1_iProver_def),
inference(superposition,[status(thm)],[c_2664,c_1697]) ).
cnf(c_2865,plain,
rd(b,mult(sP1_iProver_def,a)) = a,
inference(superposition,[status(thm)],[c_2701,c_52]) ).
cnf(c_2877,plain,
mult(mult(sP0_iProver_def,mult(sP0_iProver_def,sP1_iProver_def)),a) = mult(ld(sP0_iProver_def,unit),mult(a,a)),
inference(superposition,[status(thm)],[c_607,c_224]) ).
cnf(c_2902,plain,
mult(mult(X0,X1),X1) = mult(X1,mult(X1,X0)),
inference(superposition,[status(thm)],[c_52,c_649]) ).
cnf(c_2950,plain,
rd(mult(X0,X1),mult(X1,rd(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_649,c_52]) ).
cnf(c_2951,plain,
ld(X0,mult(X1,X0)) = mult(X0,rd(X1,X0)),
inference(superposition,[status(thm)],[c_649,c_50]) ).
cnf(c_2958,plain,
mult(ld(X0,unit),rd(X1,X0)) = mult(X0,mult(X1,X0)),
inference(superposition,[status(thm)],[c_649,c_229]) ).
cnf(c_2980,plain,
ld(mult(X0,X0),X1) = mult(mult(X0,X0),X1),
inference(superposition,[status(thm)],[c_1554,c_1480]) ).
cnf(c_2994,plain,
rd(X0,rd(unit,X1)) = mult(X0,X1),
inference(superposition,[status(thm)],[c_166,c_1563]) ).
cnf(c_2995,plain,
mult(X0,rd(unit,X1)) = rd(X0,X1),
inference(superposition,[status(thm)],[c_1238,c_1563]) ).
cnf(c_3006,plain,
ld(X0,rd(X0,X1)) = ld(X1,unit),
inference(superposition,[status(thm)],[c_1563,c_50]) ).
cnf(c_3016,plain,
mult(ld(X0,unit),mult(ld(X0,unit),X1)) = mult(rd(ld(X0,unit),X0),X1),
inference(superposition,[status(thm)],[c_1563,c_225]) ).
cnf(c_3024,plain,
mult(X0,mult(X0,ld(X1,unit))) = rd(mult(X0,X0),X1),
inference(superposition,[status(thm)],[c_1563,c_225]) ).
cnf(c_3026,plain,
mult(ld(X0,unit),mult(X1,X1)) = rd(mult(X1,X1),X0),
inference(superposition,[status(thm)],[c_1563,c_57]) ).
cnf(c_3041,plain,
ld(X0,rd(X0,X1)) = rd(unit,X1),
inference(demodulation,[status(thm)],[c_3006,c_1238]) ).
cnf(c_3048,plain,
ld(mult(X0,X0),X1) = mult(X0,mult(X0,X1)),
inference(demodulation,[status(thm)],[c_2980,c_225]) ).
cnf(c_3061,plain,
mult(ld(X0,X1),X1) = rd(mult(X1,X1),X0),
inference(demodulation,[status(thm)],[c_3026,c_1238,c_1477,c_2006]) ).
cnf(c_3064,plain,
mult(X0,mult(X0,ld(X1,unit))) = mult(ld(X1,X0),X0),
inference(demodulation,[status(thm)],[c_3024,c_3061]) ).
cnf(c_3065,plain,
mult(ld(X0,X1),X1) = mult(X1,rd(X1,X0)),
inference(demodulation,[status(thm)],[c_3064,c_1563]) ).
cnf(c_3070,plain,
ld(X0,rd(X1,X0)) = mult(X0,mult(X1,X0)),
inference(demodulation,[status(thm)],[c_2958,c_1238,c_1477]) ).
cnf(c_3093,plain,
mult(a,rd(a,sP0_iProver_def)) = mult(sP1_iProver_def,mult(sP0_iProver_def,sP1_iProver_def)),
inference(demodulation,[status(thm)],[c_2877,c_94,c_471,c_508,c_1563]) ).
cnf(c_3102,plain,
mult(X0,mult(X0,X1)) = rd(X1,mult(X0,X0)),
inference(demodulation,[status(thm)],[c_3016,c_225,c_319,c_379,c_723,c_1477]) ).
cnf(c_3199,plain,
mult(rd(a,sP2_iProver_def),rd(a,sP2_iProver_def)) = rd(mult(rd(a,sP2_iProver_def),unit),b),
inference(superposition,[status(thm)],[c_2810,c_492]) ).
cnf(c_3278,plain,
ld(mult(X0,X1),X0) = rd(unit,X1),
inference(superposition,[status(thm)],[c_52,c_3041]) ).
cnf(c_3283,plain,
ld(sP2_iProver_def,b) = rd(unit,a),
inference(superposition,[status(thm)],[c_172,c_3041]) ).
cnf(c_3303,plain,
ld(sP0_iProver_def,mult(a,a)) = rd(unit,mult(sP1_iProver_def,a)),
inference(superposition,[status(thm)],[c_1315,c_3041]) ).
cnf(c_3322,plain,
rd(unit,mult(sP1_iProver_def,a)) = ld(b,a),
inference(superposition,[status(thm)],[c_2865,c_3041]) ).
cnf(c_3454,plain,
rd(unit,rd(X0,mult(X1,X1))) = rd(X1,rd(X0,X1)),
inference(superposition,[status(thm)],[c_1363,c_1742]) ).
cnf(c_3456,plain,
ld(sP2_iProver_def,b) = rd(sP2_iProver_def,sP3_iProver_def),
inference(demodulation,[status(thm)],[c_3283,c_2469]) ).
cnf(c_3473,plain,
ld(sP0_iProver_def,mult(a,a)) = ld(b,a),
inference(demodulation,[status(thm)],[c_3303,c_3322]) ).
cnf(c_3474,plain,
mult(sP1_iProver_def,mult(sP0_iProver_def,sP1_iProver_def)) = ld(b,a),
inference(demodulation,[status(thm)],[c_3473,c_2006,c_3065,c_3093]) ).
cnf(c_3478,plain,
mult(X0,rd(X0,X1)) = rd(X0,rd(X1,X0)),
inference(demodulation,[status(thm)],[c_3454,c_2470,c_3061,c_3065]) ).
cnf(c_3508,plain,
ld(b,rd(a,sP2_iProver_def)) = rd(rd(a,sP2_iProver_def),b),
inference(demodulation,[status(thm)],[c_3199,c_1238,c_2467,c_2814]) ).
cnf(c_3625,plain,
mult(sP2_iProver_def,rd(sP2_iProver_def,sP3_iProver_def)) = b,
inference(superposition,[status(thm)],[c_3456,c_49]) ).
cnf(c_3720,plain,
ld(mult(mult(a,sP3_iProver_def),b),a) = mult(mult(a,sP3_iProver_def),mult(a,sP3_iProver_def)),
inference(superposition,[status(thm)],[c_1987,c_1560]) ).
cnf(c_3724,plain,
ld(mult(b,unit),rd(a,sP2_iProver_def)) = mult(b,b),
inference(superposition,[status(thm)],[c_2815,c_1560]) ).
cnf(c_3799,plain,
mult(mult(a,sP3_iProver_def),mult(a,sP3_iProver_def)) = rd(b,ld(mult(a,sP3_iProver_def),a)),
inference(superposition,[status(thm)],[c_1987,c_1794]) ).
cnf(c_3861,plain,
rd(rd(a,sP2_iProver_def),b) = mult(b,b),
inference(demodulation,[status(thm)],[c_3724,c_53,c_3508]) ).
cnf(c_3898,plain,
mult(mult(a,sP3_iProver_def),mult(a,sP3_iProver_def)) = mult(b,sP3_iProver_def),
inference(demodulation,[status(thm)],[c_3799,c_2994,c_3278]) ).
cnf(c_3905,plain,
ld(mult(mult(a,sP3_iProver_def),b),a) = mult(b,sP3_iProver_def),
inference(demodulation,[status(thm)],[c_3720,c_3898]) ).
cnf(c_3906,plain,
mult(b,sP3_iProver_def) = mult(sP2_iProver_def,sP2_iProver_def),
inference(demodulation,[status(thm)],[c_3905,c_1549,c_2734]) ).
cnf(c_4009,plain,
ld(mult(sP2_iProver_def,sP2_iProver_def),b) = rd(unit,sP3_iProver_def),
inference(superposition,[status(thm)],[c_3906,c_3278]) ).
cnf(c_4019,plain,
rd(sP3_iProver_def,mult(sP2_iProver_def,sP2_iProver_def)) = rd(unit,b),
inference(superposition,[status(thm)],[c_3906,c_1742]) ).
cnf(c_4217,plain,
ld(rd(sP0_iProver_def,a),mult(a,a)) = rd(unit,sP1_iProver_def),
inference(superposition,[status(thm)],[c_2510,c_3041]) ).
cnf(c_4224,plain,
mult(sP2_iProver_def,mult(sP2_iProver_def,sP3_iProver_def)) = rd(a,sP2_iProver_def),
inference(demodulation,[status(thm)],[c_4019,c_2467,c_3102]) ).
cnf(c_4225,plain,
mult(sP2_iProver_def,mult(sP2_iProver_def,b)) = rd(unit,sP3_iProver_def),
inference(demodulation,[status(thm)],[c_4009,c_3048]) ).
cnf(c_4226,plain,
mult(a,ld(b,a)) = rd(unit,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_4217,c_2006,c_3065,c_3093,c_3474,c_3478]) ).
cnf(c_4318,plain,
mult(b,mult(sP0_iProver_def,b)) = ld(b,a),
inference(superposition,[status(thm)],[c_647,c_1915]) ).
cnf(c_4590,plain,
mult(mult(X0,mult(X0,X1)),X2) = mult(X1,mult(X0,mult(X0,X2))),
inference(superposition,[status(thm)],[c_2902,c_55]) ).
cnf(c_4831,plain,
rd(b,mult(sP0_iProver_def,rd(rd(sP2_iProver_def,sP3_iProver_def),sP0_iProver_def))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_2854,c_2950]) ).
cnf(c_4926,plain,
rd(b,rd(sP0_iProver_def,sP1_iProver_def)) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_4831,c_2855,c_2995]) ).
cnf(c_5048,plain,
mult(sP0_iProver_def,rd(sP0_iProver_def,sP1_iProver_def)) = b,
inference(superposition,[status(thm)],[c_4926,c_51]) ).
cnf(c_5173,plain,
ld(sP3_iProver_def,mult(sP2_iProver_def,sP2_iProver_def)) = mult(sP3_iProver_def,rd(b,sP3_iProver_def)),
inference(superposition,[status(thm)],[c_3906,c_2951]) ).
cnf(c_5240,plain,
ld(X0,ld(b,mult(X0,X0))) = mult(X0,rd(a,sP2_iProver_def)),
inference(superposition,[status(thm)],[c_2814,c_1915]) ).
cnf(c_5245,plain,
mult(rd(X0,ld(b,rd(a,sP2_iProver_def))),rd(a,sP2_iProver_def)) = rd(X0,rd(a,sP2_iProver_def)),
inference(superposition,[status(thm)],[c_2814,c_1363]) ).
cnf(c_5277,plain,
mult(sP3_iProver_def,rd(b,sP3_iProver_def)) = b,
inference(demodulation,[status(thm)],[c_5173,c_2006,c_3065,c_3625]) ).
cnf(c_5295,plain,
mult(X0,rd(a,sP2_iProver_def)) = rd(X0,b),
inference(demodulation,[status(thm)],[c_5240,c_50,c_2006,c_3065]) ).
cnf(c_5338,plain,
rd(rd(X0,ld(b,rd(a,sP2_iProver_def))),b) = rd(X0,rd(a,sP2_iProver_def)),
inference(demodulation,[status(thm)],[c_5245,c_5295]) ).
cnf(c_5339,plain,
rd(X0,rd(a,sP2_iProver_def)) = mult(X0,b),
inference(demodulation,[status(thm)],[c_5338,c_1505,c_3102,c_3508,c_3861]) ).
cnf(c_5400,plain,
rd(b,ld(sP0_iProver_def,rd(sP0_iProver_def,sP1_iProver_def))) = mult(sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_5048,c_1794]) ).
cnf(c_5405,plain,
mult(ld(sP0_iProver_def,unit),rd(sP0_iProver_def,sP1_iProver_def)) = mult(sP0_iProver_def,mult(sP0_iProver_def,b)),
inference(superposition,[status(thm)],[c_5048,c_229]) ).
cnf(c_5612,plain,
rd(b,ld(sP3_iProver_def,rd(b,sP3_iProver_def))) = mult(sP3_iProver_def,sP3_iProver_def),
inference(superposition,[status(thm)],[c_5277,c_1794]) ).
cnf(c_5626,plain,
mult(b,sP3_iProver_def) = mult(sP3_iProver_def,b),
inference(superposition,[status(thm)],[c_5277,c_649]) ).
cnf(c_5627,plain,
mult(sP2_iProver_def,sP2_iProver_def) = mult(sP3_iProver_def,b),
inference(demodulation,[status(thm)],[c_5626,c_3906]) ).
cnf(c_5634,plain,
mult(b,b) = mult(sP3_iProver_def,sP3_iProver_def),
inference(demodulation,[status(thm)],[c_5612,c_508,c_3070,c_3906,c_4224,c_5339]) ).
cnf(c_5652,plain,
mult(b,sP1_iProver_def) = mult(sP0_iProver_def,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_5400,c_2994,c_3041]) ).
cnf(c_5675,plain,
mult(sP0_iProver_def,mult(sP0_iProver_def,b)) = rd(unit,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_5405,c_1238,c_2468,c_2821,c_3041]) ).
cnf(c_5785,plain,
mult(mult(sP2_iProver_def,sP2_iProver_def),b) = mult(sP3_iProver_def,mult(b,b)),
inference(superposition,[status(thm)],[c_5627,c_224]) ).
cnf(c_5825,plain,
rd(mult(b,mult(sP3_iProver_def,sP3_iProver_def)),b) = mult(sP3_iProver_def,sP3_iProver_def),
inference(superposition,[status(thm)],[c_5634,c_492]) ).
cnf(c_5848,plain,
rd(mult(X0,mult(sP3_iProver_def,sP3_iProver_def)),b) = mult(X0,b),
inference(superposition,[status(thm)],[c_5634,c_468]) ).
cnf(c_5870,plain,
rd(mult(b,mult(sP0_iProver_def,sP0_iProver_def)),sP1_iProver_def) = mult(b,b),
inference(superposition,[status(thm)],[c_5652,c_492]) ).
cnf(c_5901,plain,
mult(a,mult(b,mult(sP0_iProver_def,b))) = mult(mult(sP0_iProver_def,b),sP2_iProver_def),
inference(superposition,[status(thm)],[c_2433,c_536]) ).
cnf(c_5988,plain,
mult(sP1_iProver_def,sP1_iProver_def) = mult(sP3_iProver_def,sP3_iProver_def),
inference(demodulation,[status(thm)],[c_5870,c_508,c_1644,c_5634,c_5675]) ).
cnf(c_6001,plain,
rd(mult(X0,mult(sP1_iProver_def,sP1_iProver_def)),b) = mult(X0,b),
inference(demodulation,[status(thm)],[c_5848,c_5988]) ).
cnf(c_6017,plain,
mult(b,b) = mult(sP1_iProver_def,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_5825,c_5988,c_6001]) ).
cnf(c_6033,plain,
mult(mult(sP2_iProver_def,sP2_iProver_def),b) = mult(sP3_iProver_def,mult(sP1_iProver_def,sP1_iProver_def)),
inference(demodulation,[status(thm)],[c_5785,c_6017]) ).
cnf(c_6034,plain,
mult(sP1_iProver_def,mult(sP1_iProver_def,sP3_iProver_def)) = rd(unit,sP3_iProver_def),
inference(demodulation,[status(thm)],[c_6033,c_225,c_508,c_4225]) ).
cnf(c_6073,plain,
rd(unit,sP1_iProver_def) = rd(unit,sP3_iProver_def),
inference(demodulation,[status(thm)],[c_5901,c_2692,c_4225,c_4226,c_4318]) ).
cnf(c_6265,plain,
ld(sP3_iProver_def,mult(sP1_iProver_def,sP1_iProver_def)) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_5988,c_50]) ).
cnf(c_6280,plain,
mult(rd(X0,mult(sP1_iProver_def,sP1_iProver_def)),sP3_iProver_def) = rd(X0,sP3_iProver_def),
inference(superposition,[status(thm)],[c_5988,c_1363]) ).
cnf(c_6446,plain,
mult(sP1_iProver_def,rd(sP1_iProver_def,sP3_iProver_def)) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_6265,c_2006,c_3065]) ).
cnf(c_6464,plain,
rd(X0,sP1_iProver_def) = rd(X0,sP3_iProver_def),
inference(demodulation,[status(thm)],[c_6280,c_2995,c_3102,c_4590,c_6034,c_6073]) ).
cnf(c_6866,plain,
mult(sP1_iProver_def,rd(sP1_iProver_def,sP1_iProver_def)) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_6464,c_6446]) ).
cnf(c_6867,plain,
sP1_iProver_def = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_6866,c_53,c_170]) ).
cnf(c_6868,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6867,c_97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP707-1 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n029.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu Jun 20 12:17:54 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.46 Running UEQ theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.62/1.65 % SZS status Started for theBenchmark.p
% 7.62/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 7.62/1.65
% 7.62/1.65 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.62/1.65
% 7.62/1.65 ------ iProver source info
% 7.62/1.65
% 7.62/1.65 git: date: 2024-06-12 09:56:46 +0000
% 7.62/1.65 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 7.62/1.65 git: non_committed_changes: false
% 7.62/1.65
% 7.62/1.65 ------ Parsing...successful
% 7.62/1.65
% 7.62/1.65
% 7.62/1.65
% 7.62/1.65 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 7.62/1.65
% 7.62/1.65 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.62/1.65
% 7.62/1.65 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.62/1.65 ------ Proving...
% 7.62/1.65 ------ Problem Properties
% 7.62/1.65
% 7.62/1.65
% 7.62/1.65 clauses 14
% 7.62/1.65 conjectures 1
% 7.62/1.65 EPR 1
% 7.62/1.65 Horn 14
% 7.62/1.65 unary 14
% 7.62/1.65 binary 0
% 7.62/1.65 lits 14
% 7.62/1.65 lits eq 14
% 7.62/1.65 fd_pure 0
% 7.62/1.65 fd_pseudo 0
% 7.62/1.65 fd_cond 0
% 7.62/1.65 fd_pseudo_cond 0
% 7.62/1.65 AC symbols 0
% 7.62/1.65
% 7.62/1.65 ------ Input Options Time Limit: Unbounded
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% 7.62/1.65
% 7.62/1.65 ------
% 7.62/1.65 Current options:
% 7.62/1.65 ------
% 7.62/1.65
% 7.62/1.65
% 7.62/1.65
% 7.62/1.65
% 7.62/1.65 ------ Proving...
% 7.62/1.65
% 7.62/1.65
% 7.62/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 7.62/1.65
% 7.62/1.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
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% 7.62/1.66
%------------------------------------------------------------------------------