TSTP Solution File: GRP106-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP106-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 02:20:58 EDT 2024
% Result : Unsatisfiable 17.55s 3.15s
% Output : CNFRefutation 17.93s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(X2,X1)))))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
inverse(double_divide(X0,X1)) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,negated_conjecture,
( multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(c_66,plain,
multiply(multiply(multiply(X0,X1),X2),double_divide(X2,X0)) = X1,
inference(demodulation,[status(thm)],[c_49,c_50]) ).
cnf(c_76,plain,
inverse(b2) = sP0_iProver_def,
definition ).
cnf(c_77,plain,
multiply(sP0_iProver_def,b2) = sP1_iProver_def,
definition ).
cnf(c_78,plain,
multiply(sP1_iProver_def,a2) = sP2_iProver_def,
definition ).
cnf(c_79,plain,
multiply(a3,b3) = sP3_iProver_def,
definition ).
cnf(c_80,plain,
multiply(sP3_iProver_def,c3) = sP4_iProver_def,
definition ).
cnf(c_81,plain,
multiply(b3,c3) = sP5_iProver_def,
definition ).
cnf(c_82,plain,
multiply(a3,sP5_iProver_def) = sP6_iProver_def,
definition ).
cnf(c_83,plain,
inverse(a1) = sP7_iProver_def,
definition ).
cnf(c_84,plain,
multiply(sP7_iProver_def,a1) = sP8_iProver_def,
definition ).
cnf(c_85,plain,
inverse(b1) = sP9_iProver_def,
definition ).
cnf(c_86,plain,
multiply(sP9_iProver_def,b1) = sP10_iProver_def,
definition ).
cnf(c_87,plain,
multiply(a4,b4) = sP11_iProver_def,
definition ).
cnf(c_88,plain,
multiply(b4,a4) = sP12_iProver_def,
definition ).
cnf(c_89,negated_conjecture,
( sP2_iProver_def != a2
| sP4_iProver_def != sP6_iProver_def
| sP8_iProver_def != sP10_iProver_def
| sP11_iProver_def != sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_51,c_88,c_87,c_85,c_86,c_83,c_84,c_81,c_82,c_79,c_80,c_76,c_77,c_78]) ).
cnf(c_158,plain,
multiply(multiply(sP3_iProver_def,X0),double_divide(X0,a3)) = b3,
inference(superposition,[status(thm)],[c_79,c_66]) ).
cnf(c_162,plain,
multiply(multiply(sP4_iProver_def,X0),double_divide(X0,sP3_iProver_def)) = c3,
inference(superposition,[status(thm)],[c_80,c_66]) ).
cnf(c_163,plain,
multiply(multiply(X0,X1),double_divide(X1,multiply(multiply(X2,X0),X3))) = double_divide(X3,X2),
inference(superposition,[status(thm)],[c_66,c_66]) ).
cnf(c_164,plain,
multiply(X0,double_divide(double_divide(X1,X2),multiply(X2,X0))) = X1,
inference(superposition,[status(thm)],[c_66,c_66]) ).
cnf(c_171,plain,
multiply(multiply(sP5_iProver_def,X0),double_divide(X0,b3)) = c3,
inference(superposition,[status(thm)],[c_81,c_66]) ).
cnf(c_173,plain,
multiply(multiply(sP6_iProver_def,X0),double_divide(X0,a3)) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_82,c_66]) ).
cnf(c_179,plain,
multiply(multiply(sP11_iProver_def,X0),double_divide(X0,a4)) = b4,
inference(superposition,[status(thm)],[c_87,c_66]) ).
cnf(c_181,plain,
multiply(multiply(sP12_iProver_def,X0),double_divide(X0,b4)) = a4,
inference(superposition,[status(thm)],[c_88,c_66]) ).
cnf(c_184,plain,
multiply(multiply(b3,X0),double_divide(X0,multiply(sP3_iProver_def,X1))) = double_divide(X1,a3),
inference(superposition,[status(thm)],[c_158,c_66]) ).
cnf(c_212,plain,
multiply(c3,double_divide(double_divide(X0,sP3_iProver_def),sP4_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_162,c_66]) ).
cnf(c_229,plain,
multiply(multiply(sP5_iProver_def,X0),double_divide(X0,multiply(sP6_iProver_def,X1))) = double_divide(X1,a3),
inference(superposition,[status(thm)],[c_173,c_66]) ).
cnf(c_230,plain,
multiply(sP5_iProver_def,double_divide(double_divide(X0,a3),sP6_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_173,c_66]) ).
cnf(c_249,plain,
multiply(sP11_iProver_def,double_divide(b4,multiply(multiply(X0,a4),X1))) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_87,c_163]) ).
cnf(c_250,plain,
multiply(sP12_iProver_def,double_divide(a4,multiply(multiply(X0,b4),X1))) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_88,c_163]) ).
cnf(c_268,plain,
double_divide(double_divide(X0,X1),multiply(X1,X2)) = multiply(multiply(X0,X3),double_divide(X3,X2)),
inference(superposition,[status(thm)],[c_66,c_163]) ).
cnf(c_269,plain,
multiply(multiply(X0,X1),double_divide(X1,b3)) = double_divide(double_divide(X0,a3),sP3_iProver_def),
inference(superposition,[status(thm)],[c_158,c_163]) ).
cnf(c_303,plain,
double_divide(double_divide(sP5_iProver_def,a3),sP3_iProver_def) = c3,
inference(demodulation,[status(thm)],[c_171,c_269]) ).
cnf(c_464,plain,
multiply(multiply(X0,X1),double_divide(X1,b4)) = double_divide(double_divide(X0,a4),sP11_iProver_def),
inference(superposition,[status(thm)],[c_179,c_163]) ).
cnf(c_487,plain,
double_divide(double_divide(sP12_iProver_def,a4),sP11_iProver_def) = a4,
inference(demodulation,[status(thm)],[c_181,c_464]) ).
cnf(c_489,plain,
multiply(multiply(multiply(sP11_iProver_def,X0),double_divide(sP12_iProver_def,a4)),a4) = X0,
inference(superposition,[status(thm)],[c_487,c_66]) ).
cnf(c_559,plain,
multiply(c3,double_divide(c3,sP4_iProver_def)) = double_divide(sP5_iProver_def,a3),
inference(superposition,[status(thm)],[c_303,c_212]) ).
cnf(c_663,plain,
double_divide(multiply(X0,double_divide(X1,multiply(X2,X0))),X2) = X1,
inference(superposition,[status(thm)],[c_164,c_163]) ).
cnf(c_1299,plain,
double_divide(multiply(b3,double_divide(X0,sP3_iProver_def)),a3) = X0,
inference(superposition,[status(thm)],[c_184,c_164]) ).
cnf(c_1517,plain,
multiply(b3,double_divide(X0,sP3_iProver_def)) = multiply(sP5_iProver_def,double_divide(X0,sP6_iProver_def)),
inference(superposition,[status(thm)],[c_1299,c_230]) ).
cnf(c_1521,plain,
double_divide(multiply(sP5_iProver_def,double_divide(X0,sP6_iProver_def)),a3) = X0,
inference(demodulation,[status(thm)],[c_1299,c_1517]) ).
cnf(c_1542,plain,
multiply(a3,multiply(sP5_iProver_def,double_divide(X0,sP6_iProver_def))) = inverse(X0),
inference(superposition,[status(thm)],[c_1521,c_50]) ).
cnf(c_1545,plain,
multiply(multiply(sP6_iProver_def,multiply(sP5_iProver_def,double_divide(X0,sP6_iProver_def))),X0) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_1521,c_173]) ).
cnf(c_1597,plain,
double_divide(double_divide(multiply(X0,X1),X2),multiply(X2,X0)) = X1,
inference(superposition,[status(thm)],[c_163,c_663]) ).
cnf(c_1656,plain,
multiply(X0,multiply(X1,double_divide(X2,multiply(X0,X1)))) = inverse(X2),
inference(superposition,[status(thm)],[c_663,c_50]) ).
cnf(c_3652,plain,
double_divide(double_divide(sP1_iProver_def,X0),multiply(X0,sP0_iProver_def)) = b2,
inference(superposition,[status(thm)],[c_77,c_1597]) ).
cnf(c_3656,plain,
double_divide(double_divide(sP8_iProver_def,X0),multiply(X0,sP7_iProver_def)) = a1,
inference(superposition,[status(thm)],[c_84,c_1597]) ).
cnf(c_3657,plain,
double_divide(double_divide(sP10_iProver_def,X0),multiply(X0,sP9_iProver_def)) = b1,
inference(superposition,[status(thm)],[c_86,c_1597]) ).
cnf(c_3717,plain,
double_divide(double_divide(multiply(a4,X0),b4),sP12_iProver_def) = X0,
inference(superposition,[status(thm)],[c_88,c_1597]) ).
cnf(c_3722,plain,
double_divide(double_divide(multiply(sP5_iProver_def,X0),a3),sP6_iProver_def) = X0,
inference(superposition,[status(thm)],[c_82,c_1597]) ).
cnf(c_4790,plain,
multiply(sP6_iProver_def,double_divide(multiply(sP5_iProver_def,X0),a3)) = inverse(X0),
inference(superposition,[status(thm)],[c_229,c_1656]) ).
cnf(c_4888,plain,
multiply(multiply(X0,sP0_iProver_def),double_divide(sP1_iProver_def,X0)) = inverse(b2),
inference(superposition,[status(thm)],[c_3652,c_50]) ).
cnf(c_4903,plain,
multiply(multiply(X0,sP0_iProver_def),double_divide(sP1_iProver_def,X0)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_4888,c_76]) ).
cnf(c_5041,plain,
multiply(multiply(X0,sP7_iProver_def),double_divide(sP8_iProver_def,X0)) = inverse(a1),
inference(superposition,[status(thm)],[c_3656,c_50]) ).
cnf(c_5056,plain,
multiply(multiply(X0,sP7_iProver_def),double_divide(sP8_iProver_def,X0)) = sP7_iProver_def,
inference(light_normalisation,[status(thm)],[c_5041,c_83]) ).
cnf(c_5073,plain,
multiply(multiply(X0,sP9_iProver_def),double_divide(sP10_iProver_def,X0)) = inverse(b1),
inference(superposition,[status(thm)],[c_3657,c_50]) ).
cnf(c_5088,plain,
multiply(multiply(X0,sP9_iProver_def),double_divide(sP10_iProver_def,X0)) = sP9_iProver_def,
inference(light_normalisation,[status(thm)],[c_5073,c_85]) ).
cnf(c_5139,plain,
multiply(sP12_iProver_def,double_divide(multiply(a4,X0),b4)) = inverse(X0),
inference(superposition,[status(thm)],[c_3717,c_50]) ).
cnf(c_5212,plain,
multiply(sP0_iProver_def,double_divide(double_divide(sP1_iProver_def,X0),X0)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_4903,c_66]) ).
cnf(c_5262,plain,
multiply(sP7_iProver_def,double_divide(double_divide(sP8_iProver_def,X0),X0)) = sP7_iProver_def,
inference(superposition,[status(thm)],[c_5056,c_66]) ).
cnf(c_5294,plain,
multiply(sP9_iProver_def,double_divide(double_divide(sP10_iProver_def,X0),X0)) = sP9_iProver_def,
inference(superposition,[status(thm)],[c_5088,c_66]) ).
cnf(c_5335,plain,
double_divide(sP1_iProver_def,multiply(X0,sP0_iProver_def)) = double_divide(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_5212,c_663]) ).
cnf(c_5477,plain,
double_divide(sP8_iProver_def,multiply(X0,sP7_iProver_def)) = double_divide(sP7_iProver_def,X0),
inference(superposition,[status(thm)],[c_5262,c_663]) ).
cnf(c_5512,plain,
double_divide(sP10_iProver_def,multiply(X0,sP9_iProver_def)) = double_divide(sP9_iProver_def,X0),
inference(superposition,[status(thm)],[c_5294,c_663]) ).
cnf(c_5750,plain,
multiply(multiply(X0,sP0_iProver_def),sP1_iProver_def) = inverse(double_divide(sP0_iProver_def,X0)),
inference(superposition,[status(thm)],[c_5335,c_50]) ).
cnf(c_5761,plain,
double_divide(multiply(sP0_iProver_def,double_divide(sP0_iProver_def,X0)),X0) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_5335,c_663]) ).
cnf(c_5790,plain,
multiply(multiply(X0,sP7_iProver_def),sP8_iProver_def) = inverse(double_divide(sP7_iProver_def,X0)),
inference(superposition,[status(thm)],[c_5477,c_50]) ).
cnf(c_5862,plain,
multiply(multiply(X0,sP9_iProver_def),sP10_iProver_def) = inverse(double_divide(sP9_iProver_def,X0)),
inference(superposition,[status(thm)],[c_5512,c_50]) ).
cnf(c_7528,plain,
multiply(multiply(X0,sP0_iProver_def),sP1_iProver_def) = multiply(X0,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_5750,c_50]) ).
cnf(c_7529,plain,
multiply(sP5_iProver_def,sP1_iProver_def) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_1545,c_7528]) ).
cnf(c_7553,plain,
multiply(multiply(X0,sP7_iProver_def),sP8_iProver_def) = multiply(X0,sP7_iProver_def),
inference(demodulation,[status(thm)],[c_5790,c_50]) ).
cnf(c_7554,plain,
multiply(sP5_iProver_def,sP8_iProver_def) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_1545,c_7553]) ).
cnf(c_7665,plain,
multiply(sP6_iProver_def,double_divide(sP5_iProver_def,a3)) = inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_7529,c_4790]) ).
cnf(c_7666,plain,
double_divide(double_divide(sP5_iProver_def,a3),sP6_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_7529,c_3722]) ).
cnf(c_7802,plain,
double_divide(double_divide(sP5_iProver_def,a3),sP6_iProver_def) = sP8_iProver_def,
inference(superposition,[status(thm)],[c_7554,c_3722]) ).
cnf(c_7805,plain,
sP1_iProver_def = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_7802,c_7666]) ).
cnf(c_7811,plain,
multiply(multiply(X0,sP7_iProver_def),sP1_iProver_def) = multiply(X0,sP7_iProver_def),
inference(demodulation,[status(thm)],[c_7553,c_7805]) ).
cnf(c_7814,plain,
double_divide(sP1_iProver_def,multiply(X0,sP7_iProver_def)) = double_divide(sP7_iProver_def,X0),
inference(demodulation,[status(thm)],[c_5477,c_7805]) ).
cnf(c_7825,plain,
( a2 != sP2_iProver_def
| sP1_iProver_def != sP10_iProver_def
| sP4_iProver_def != sP6_iProver_def
| sP11_iProver_def != sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_89,c_7805]) ).
cnf(c_8257,plain,
multiply(multiply(X0,sP9_iProver_def),sP10_iProver_def) = multiply(X0,sP9_iProver_def),
inference(demodulation,[status(thm)],[c_5862,c_50]) ).
cnf(c_8258,plain,
multiply(sP5_iProver_def,sP10_iProver_def) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_1545,c_8257]) ).
cnf(c_8357,plain,
double_divide(double_divide(sP5_iProver_def,a3),sP6_iProver_def) = sP10_iProver_def,
inference(superposition,[status(thm)],[c_8258,c_3722]) ).
cnf(c_8360,plain,
sP1_iProver_def = sP10_iProver_def,
inference(light_normalisation,[status(thm)],[c_8357,c_7666]) ).
cnf(c_8365,plain,
( a2 != sP2_iProver_def
| sP4_iProver_def != sP6_iProver_def
| sP11_iProver_def != sP12_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_7825,c_8360]) ).
cnf(c_8818,plain,
multiply(sP11_iProver_def,double_divide(b4,multiply(sP12_iProver_def,X0))) = double_divide(X0,b4),
inference(superposition,[status(thm)],[c_88,c_249]) ).
cnf(c_9582,plain,
multiply(sP12_iProver_def,double_divide(a4,multiply(sP11_iProver_def,X0))) = double_divide(X0,a4),
inference(superposition,[status(thm)],[c_87,c_250]) ).
cnf(c_10126,plain,
multiply(multiply(sP5_iProver_def,sP1_iProver_def),double_divide(sP7_iProver_def,sP6_iProver_def)) = double_divide(sP7_iProver_def,a3),
inference(superposition,[status(thm)],[c_7814,c_229]) ).
cnf(c_10133,plain,
multiply(sP5_iProver_def,double_divide(sP7_iProver_def,sP6_iProver_def)) = double_divide(sP7_iProver_def,a3),
inference(light_normalisation,[status(thm)],[c_10126,c_7529]) ).
cnf(c_13233,plain,
multiply(a3,double_divide(sP7_iProver_def,a3)) = inverse(sP7_iProver_def),
inference(superposition,[status(thm)],[c_10133,c_1542]) ).
cnf(c_13234,plain,
double_divide(double_divide(sP7_iProver_def,a3),a3) = sP7_iProver_def,
inference(superposition,[status(thm)],[c_10133,c_1521]) ).
cnf(c_13315,plain,
multiply(multiply(multiply(a3,X0),double_divide(sP7_iProver_def,a3)),sP7_iProver_def) = X0,
inference(superposition,[status(thm)],[c_13234,c_66]) ).
cnf(c_13964,plain,
multiply(X0,sP1_iProver_def) = X0,
inference(superposition,[status(thm)],[c_13315,c_7811]) ).
cnf(c_14237,plain,
multiply(multiply(X0,X1),double_divide(X1,X0)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_13964,c_66]) ).
cnf(c_14238,plain,
multiply(multiply(X0,X1),double_divide(sP1_iProver_def,X0)) = X1,
inference(superposition,[status(thm)],[c_13964,c_66]) ).
cnf(c_14291,plain,
multiply(multiply(a3,double_divide(sP7_iProver_def,a3)),sP7_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_13964,c_13315]) ).
cnf(c_14296,plain,
multiply(inverse(sP7_iProver_def),sP7_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_14291,c_13233]) ).
cnf(c_14468,plain,
double_divide(sP7_iProver_def,inverse(sP7_iProver_def)) = double_divide(sP1_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_14296,c_7814]) ).
cnf(c_15293,plain,
multiply(sP6_iProver_def,double_divide(sP5_iProver_def,a3)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_82,c_14237]) ).
cnf(c_15322,plain,
multiply(X0,double_divide(sP1_iProver_def,X0)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_13964,c_14237]) ).
cnf(c_15388,plain,
multiply(sP1_iProver_def,double_divide(sP7_iProver_def,inverse(sP7_iProver_def))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_14296,c_14237]) ).
cnf(c_15407,plain,
multiply(multiply(sP6_iProver_def,double_divide(multiply(sP5_iProver_def,X0),a3)),X0) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_3722,c_14237]) ).
cnf(c_15437,plain,
multiply(sP1_iProver_def,double_divide(sP1_iProver_def,sP1_iProver_def)) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_15388,c_14468]) ).
cnf(c_15459,plain,
multiply(inverse(X0),X0) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_15407,c_4790]) ).
cnf(c_15483,plain,
inverse(sP1_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_7665,c_15293]) ).
cnf(c_16054,plain,
multiply(multiply(sP1_iProver_def,X0),double_divide(X0,inverse(X1))) = X1,
inference(superposition,[status(thm)],[c_15459,c_66]) ).
cnf(c_16696,plain,
multiply(sP12_iProver_def,double_divide(sP1_iProver_def,b4)) = a4,
inference(superposition,[status(thm)],[c_88,c_14238]) ).
cnf(c_16699,plain,
multiply(sP2_iProver_def,double_divide(sP1_iProver_def,sP1_iProver_def)) = a2,
inference(superposition,[status(thm)],[c_78,c_14238]) ).
cnf(c_16704,plain,
double_divide(double_divide(X0,X1),multiply(X1,X2)) = multiply(X0,double_divide(sP1_iProver_def,X2)),
inference(superposition,[status(thm)],[c_164,c_14238]) ).
cnf(c_17567,plain,
multiply(sP1_iProver_def,double_divide(sP1_iProver_def,X0)) = double_divide(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_15322,c_14238]) ).
cnf(c_17570,plain,
multiply(multiply(sP1_iProver_def,X0),double_divide(X0,X1)) = double_divide(sP1_iProver_def,X1),
inference(superposition,[status(thm)],[c_15322,c_66]) ).
cnf(c_17585,plain,
multiply(multiply(sP1_iProver_def,double_divide(sP12_iProver_def,a4)),a4) = double_divide(sP1_iProver_def,sP11_iProver_def),
inference(superposition,[status(thm)],[c_15322,c_489]) ).
cnf(c_17827,plain,
double_divide(sP1_iProver_def,sP1_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_15437,c_17567]) ).
cnf(c_17828,plain,
multiply(sP2_iProver_def,sP1_iProver_def) = a2,
inference(demodulation,[status(thm)],[c_16699,c_17827]) ).
cnf(c_17834,plain,
multiply(multiply(sP1_iProver_def,X0),sP1_iProver_def) = X0,
inference(superposition,[status(thm)],[c_17827,c_14238]) ).
cnf(c_17868,plain,
a2 = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_17828,c_13964]) ).
cnf(c_17878,plain,
( sP2_iProver_def != sP2_iProver_def
| sP4_iProver_def != sP6_iProver_def
| sP11_iProver_def != sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_8365,c_17868]) ).
cnf(c_17886,plain,
( sP4_iProver_def != sP6_iProver_def
| sP11_iProver_def != sP12_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_17878]) ).
cnf(c_19489,plain,
multiply(sP1_iProver_def,X0) = X0,
inference(demodulation,[status(thm)],[c_17834,c_13964]) ).
cnf(c_19500,plain,
multiply(X0,double_divide(X0,sP1_iProver_def)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_19489,c_14237]) ).
cnf(c_19502,plain,
multiply(multiply(X0,X1),double_divide(X1,sP1_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_19489,c_66]) ).
cnf(c_21680,plain,
multiply(multiply(sP1_iProver_def,X0),double_divide(X0,X1)) = double_divide(X1,sP1_iProver_def),
inference(superposition,[status(thm)],[c_19500,c_66]) ).
cnf(c_21693,plain,
multiply(multiply(sP1_iProver_def,double_divide(sP12_iProver_def,a4)),a4) = double_divide(sP11_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_19500,c_489]) ).
cnf(c_21723,plain,
double_divide(sP1_iProver_def,sP11_iProver_def) = double_divide(sP11_iProver_def,sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_21693,c_17585]) ).
cnf(c_21725,plain,
multiply(X0,double_divide(X0,X1)) = double_divide(X1,sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_21680,c_17570,c_19489]) ).
cnf(c_21734,plain,
double_divide(sP4_iProver_def,sP1_iProver_def) = double_divide(sP5_iProver_def,a3),
inference(demodulation,[status(thm)],[c_559,c_21725]) ).
cnf(c_21735,plain,
double_divide(double_divide(X0,sP1_iProver_def),X0) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_5761,c_21725]) ).
cnf(c_22498,plain,
multiply(sP12_iProver_def,double_divide(a4,sP1_iProver_def)) = b4,
inference(superposition,[status(thm)],[c_88,c_19502]) ).
cnf(c_22592,plain,
multiply(multiply(X0,X1),double_divide(X1,X2)) = double_divide(double_divide(X0,sP1_iProver_def),X2),
inference(superposition,[status(thm)],[c_19502,c_163]) ).
cnf(c_22611,plain,
double_divide(double_divide(X0,sP1_iProver_def),sP1_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_19502,c_22592]) ).
cnf(c_23576,plain,
inverse(double_divide(sP4_iProver_def,sP1_iProver_def)) = multiply(a3,sP5_iProver_def),
inference(superposition,[status(thm)],[c_21734,c_50]) ).
cnf(c_23577,plain,
inverse(double_divide(sP4_iProver_def,sP1_iProver_def)) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_23576,c_82]) ).
cnf(c_23578,plain,
sP4_iProver_def = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_23577,c_50,c_19489]) ).
cnf(c_23579,plain,
( sP4_iProver_def != sP4_iProver_def
| sP11_iProver_def != sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_17886,c_23578]) ).
cnf(c_23589,plain,
sP11_iProver_def != sP12_iProver_def,
inference(equality_resolution_simp,[status(thm)],[c_23579]) ).
cnf(c_23957,plain,
double_divide(double_divide(sP1_iProver_def,sP11_iProver_def),sP1_iProver_def) = sP11_iProver_def,
inference(superposition,[status(thm)],[c_21723,c_22611]) ).
cnf(c_23960,plain,
double_divide(X0,double_divide(X0,sP1_iProver_def)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_22611,c_21735]) ).
cnf(c_24123,plain,
multiply(multiply(X0,X1),double_divide(X1,X2)) = multiply(X0,double_divide(sP1_iProver_def,X2)),
inference(light_normalisation,[status(thm)],[c_268,c_16704]) ).
cnf(c_24141,plain,
multiply(X0,double_divide(X0,X1)) = multiply(sP1_iProver_def,double_divide(sP1_iProver_def,X1)),
inference(superposition,[status(thm)],[c_19489,c_24123]) ).
cnf(c_24288,plain,
multiply(sP1_iProver_def,double_divide(sP1_iProver_def,X0)) = double_divide(X0,sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_24141,c_21725]) ).
cnf(c_25078,plain,
multiply(sP1_iProver_def,double_divide(sP1_iProver_def,sP11_iProver_def)) = inverse(sP11_iProver_def),
inference(superposition,[status(thm)],[c_23957,c_50]) ).
cnf(c_25107,plain,
multiply(double_divide(X0,sP1_iProver_def),X0) = inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_23960,c_50]) ).
cnf(c_25127,plain,
multiply(double_divide(X0,sP1_iProver_def),X0) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_25107,c_15483]) ).
cnf(c_25335,plain,
double_divide(sP1_iProver_def,sP11_iProver_def) = inverse(sP11_iProver_def),
inference(demodulation,[status(thm)],[c_25078,c_24288,c_21723]) ).
cnf(c_25338,plain,
inverse(inverse(sP11_iProver_def)) = multiply(sP11_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_25335,c_50]) ).
cnf(c_25343,plain,
multiply(sP11_iProver_def,inverse(sP11_iProver_def)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_25335,c_15322]) ).
cnf(c_25346,plain,
inverse(inverse(sP11_iProver_def)) = sP11_iProver_def,
inference(demodulation,[status(thm)],[c_25338,c_13964]) ).
cnf(c_25440,plain,
multiply(sP12_iProver_def,double_divide(a4,sP1_iProver_def)) = double_divide(inverse(sP11_iProver_def),a4),
inference(superposition,[status(thm)],[c_25343,c_9582]) ).
cnf(c_25441,plain,
double_divide(inverse(sP11_iProver_def),a4) = b4,
inference(light_normalisation,[status(thm)],[c_25440,c_22498]) ).
cnf(c_25521,plain,
multiply(a4,inverse(sP11_iProver_def)) = inverse(b4),
inference(superposition,[status(thm)],[c_25441,c_50]) ).
cnf(c_25736,plain,
multiply(sP12_iProver_def,double_divide(inverse(b4),b4)) = inverse(inverse(sP11_iProver_def)),
inference(superposition,[status(thm)],[c_25521,c_5139]) ).
cnf(c_25737,plain,
multiply(sP12_iProver_def,double_divide(inverse(b4),b4)) = sP11_iProver_def,
inference(light_normalisation,[status(thm)],[c_25736,c_25346]) ).
cnf(c_26384,plain,
multiply(X0,double_divide(X0,inverse(X1))) = X1,
inference(light_normalisation,[status(thm)],[c_16054,c_19489]) ).
cnf(c_26385,plain,
double_divide(inverse(X0),sP1_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_26384,c_21725]) ).
cnf(c_26394,plain,
double_divide(multiply(X0,X1),sP1_iProver_def) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_50,c_26385]) ).
cnf(c_26424,plain,
multiply(X0,inverse(X0)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_26385,c_25127]) ).
cnf(c_26426,plain,
double_divide(X0,sP1_iProver_def) = inverse(X0),
inference(superposition,[status(thm)],[c_26385,c_22611]) ).
cnf(c_26447,plain,
inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(demodulation,[status(thm)],[c_26394,c_26426]) ).
cnf(c_26463,plain,
double_divide(b4,a4) = inverse(sP11_iProver_def),
inference(superposition,[status(thm)],[c_87,c_26447]) ).
cnf(c_26473,plain,
double_divide(sP1_iProver_def,X0) = inverse(X0),
inference(superposition,[status(thm)],[c_13964,c_26447]) ).
cnf(c_26564,plain,
multiply(sP12_iProver_def,inverse(b4)) = a4,
inference(demodulation,[status(thm)],[c_16696,c_26473]) ).
cnf(c_27139,plain,
multiply(sP11_iProver_def,double_divide(b4,a4)) = double_divide(inverse(b4),b4),
inference(superposition,[status(thm)],[c_26564,c_8818]) ).
cnf(c_27140,plain,
double_divide(inverse(b4),b4) = multiply(sP11_iProver_def,inverse(sP11_iProver_def)),
inference(light_normalisation,[status(thm)],[c_27139,c_26463]) ).
cnf(c_29435,plain,
multiply(sP12_iProver_def,multiply(sP11_iProver_def,inverse(sP11_iProver_def))) = sP11_iProver_def,
inference(light_normalisation,[status(thm)],[c_25737,c_27140]) ).
cnf(c_29436,plain,
sP11_iProver_def = sP12_iProver_def,
inference(demodulation,[status(thm)],[c_29435,c_13964,c_26424]) ).
cnf(c_29437,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_29436,c_23589]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP106-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.06/0.11 % 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 23:55:57 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 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
% 17.55/3.15 % SZS status Started for theBenchmark.p
% 17.55/3.15 % SZS status Unsatisfiable for theBenchmark.p
% 17.55/3.15
% 17.55/3.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.55/3.15
% 17.55/3.15 ------ iProver source info
% 17.55/3.15
% 17.55/3.15 git: date: 2024-05-02 19:28:25 +0000
% 17.55/3.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 17.55/3.15 git: non_committed_changes: false
% 17.55/3.15
% 17.55/3.15 ------ Parsing...successful
% 17.55/3.15
% 17.55/3.15
% 17.55/3.15
% 17.55/3.15 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 17.55/3.15
% 17.55/3.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 17.55/3.15
% 17.55/3.15 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 17.55/3.15 ------ Proving...
% 17.55/3.15 ------ Problem Properties
% 17.55/3.15
% 17.55/3.15
% 17.55/3.15 clauses 16
% 17.55/3.15 conjectures 1
% 17.55/3.15 EPR 1
% 17.55/3.15 Horn 16
% 17.55/3.15 unary 15
% 17.55/3.15 binary 0
% 17.55/3.15 lits 19
% 17.55/3.15 lits eq 19
% 17.55/3.15 fd_pure 0
% 17.55/3.15 fd_pseudo 0
% 17.55/3.15 fd_cond 0
% 17.55/3.15 fd_pseudo_cond 0
% 17.55/3.15 AC symbols 0
% 17.55/3.15
% 17.55/3.15 ------ Schedule dynamic 5 is on
% 17.55/3.15
% 17.55/3.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 17.55/3.15
% 17.55/3.15
% 17.55/3.15 ------
% 17.55/3.15 Current options:
% 17.55/3.15 ------
% 17.55/3.15
% 17.55/3.15
% 17.55/3.15
% 17.55/3.15
% 17.55/3.15 ------ Proving...
% 17.55/3.15
% 17.55/3.15
% 17.55/3.15 % SZS status Unsatisfiable for theBenchmark.p
% 17.55/3.15
% 17.55/3.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.93/3.15
% 17.93/3.15
%------------------------------------------------------------------------------