TSTP Solution File: GRP683-11 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP683-11 : TPTP v8.2.0. Released v8.1.0.
% 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 : Mon Jun 24 07:01:46 EDT 2024

% Result   : Unsatisfiable 7.87s 1.71s
% Output   : CNFRefutation 7.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :    8
% Syntax   : Number of clauses     :  133 ( 133 unt;   0 nHn;   5 RR)
%            Number of literals    :  133 ( 132 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :  291 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ld(X0,mult(X0,X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).

cnf(c_50,plain,
    rd(mult(X0,X0),X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).

cnf(c_51,plain,
    mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).

cnf(c_52,plain,
    mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).

cnf(c_53,plain,
    ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(ld(X0,mult(X0,X2)),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).

cnf(c_54,plain,
    rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,rd(mult(X1,X3),X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).

cnf(c_55,plain,
    ld(X0,mult(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).

cnf(c_56,negated_conjecture,
    mult(rd(mult(x3,x4),x4),x5) != mult(x3,x5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

cnf(c_80,plain,
    mult(rd(X0,X0),X0) = X0,
    inference(demodulation,[status(thm)],[c_50,c_52]) ).

cnf(c_81,plain,
    mult(X0,ld(X0,X0)) = X0,
    inference(demodulation,[status(thm)],[c_49,c_51]) ).

cnf(c_82,plain,
    mult(mult(rd(x3,x4),x4),x5) != mult(x3,x5),
    inference(demodulation,[status(thm)],[c_56,c_52]) ).

cnf(c_83,plain,
    mult(rd(rd(X0,X0),X1),X1) = mult(X0,ld(X0,ld(X1,X1))),
    inference(demodulation,[status(thm)],[c_55,c_51,c_52]) ).

cnf(c_84,plain,
    mult(rd(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,mult(rd(X1,X3),X3)),
    inference(demodulation,[status(thm)],[c_54,c_52]) ).

cnf(c_85,plain,
    mult(ld(X0,X1),ld(ld(X0,X1),mult(X2,X3))) = mult(mult(X0,ld(X0,X2)),X3),
    inference(demodulation,[status(thm)],[c_53,c_51]) ).

cnf(c_148,plain,
    mult(X0,ld(X0,ld(X0,X0))) = ld(X0,X0),
    inference(superposition,[status(thm)],[c_81,c_51]) ).

cnf(c_149,plain,
    mult(rd(rd(X0,X0),X0),X0) = rd(X0,X0),
    inference(superposition,[status(thm)],[c_80,c_52]) ).

cnf(c_150,plain,
    mult(rd(X0,ld(X0,X0)),ld(X0,X0)) = rd(X0,ld(X0,X0)),
    inference(superposition,[status(thm)],[c_81,c_52]) ).

cnf(c_155,plain,
    mult(mult(rd(X0,rd(X1,X2)),rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(rd(rd(X1,X2),X2),X2)),
    inference(superposition,[status(thm)],[c_52,c_84]) ).

cnf(c_156,plain,
    mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(rd(X0,X0),mult(rd(X0,X2),X2)),
    inference(superposition,[status(thm)],[c_80,c_84]) ).

cnf(c_157,plain,
    mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(rd(ld(X0,X0),X2),X2)),
    inference(superposition,[status(thm)],[c_81,c_84]) ).

cnf(c_160,plain,
    mult(rd(mult(X0,X1),mult(rd(X2,X3),X3)),mult(rd(X2,X3),X3)) = mult(X0,mult(rd(X1,X3),X3)),
    inference(superposition,[status(thm)],[c_52,c_84]) ).

cnf(c_168,plain,
    mult(mult(X0,ld(X0,rd(X1,X1))),X1) = mult(ld(X0,X2),ld(ld(X0,X2),X1)),
    inference(superposition,[status(thm)],[c_80,c_85]) ).

cnf(c_169,plain,
    mult(mult(X0,ld(X0,X1)),ld(X1,X1)) = mult(ld(X0,X2),ld(ld(X0,X2),X1)),
    inference(superposition,[status(thm)],[c_81,c_85]) ).

cnf(c_177,plain,
    mult(X0,ld(X0,ld(X0,X0))) = rd(X0,X0),
    inference(demodulation,[status(thm)],[c_149,c_83]) ).

cnf(c_178,plain,
    ld(X0,X0) = rd(X0,X0),
    inference(demodulation,[status(thm)],[c_148,c_177]) ).

cnf(c_180,plain,
    mult(rd(X0,rd(X0,X0)),rd(X0,X0)) = rd(X0,rd(X0,X0)),
    inference(demodulation,[status(thm)],[c_150,c_178]) ).

cnf(c_181,plain,
    mult(mult(X0,ld(X0,X1)),rd(X1,X1)) = mult(ld(X0,X2),ld(ld(X0,X2),X1)),
    inference(demodulation,[status(thm)],[c_169,c_178]) ).

cnf(c_182,plain,
    mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(rd(rd(X0,X0),X2),X2)),
    inference(demodulation,[status(thm)],[c_157,c_178]) ).

cnf(c_183,plain,
    mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(X0,ld(X0,ld(X2,X2)))),
    inference(demodulation,[status(thm)],[c_182,c_83]) ).

cnf(c_194,plain,
    mult(X0,rd(X0,X0)) = X0,
    inference(demodulation,[status(thm)],[c_81,c_178]) ).

cnf(c_195,plain,
    mult(rd(rd(X0,X0),X1),X1) = mult(X0,ld(X0,rd(X1,X1))),
    inference(demodulation,[status(thm)],[c_83,c_178]) ).

cnf(c_223,plain,
    mult(rd(X0,X0),ld(rd(X0,X0),mult(X1,X2))) = mult(mult(X0,ld(X0,X1)),X2),
    inference(superposition,[status(thm)],[c_178,c_85]) ).

cnf(c_278,plain,
    mult(X0,ld(X0,rd(X0,X0))) = rd(X0,X0),
    inference(superposition,[status(thm)],[c_178,c_177]) ).

cnf(c_292,plain,
    mult(rd(rd(X0,rd(X0,X0)),rd(X1,X2)),rd(X1,X2)) = mult(rd(X0,rd(X0,X0)),mult(rd(rd(X0,X0),X2),X2)),
    inference(superposition,[status(thm)],[c_180,c_84]) ).

cnf(c_296,plain,
    mult(X0,mult(rd(X1,mult(X0,X1)),mult(X0,X1))) = rd(mult(X0,X1),rd(mult(X0,X1),mult(X0,X1))),
    inference(superposition,[status(thm)],[c_180,c_84]) ).

cnf(c_305,plain,
    mult(rd(X0,X0),mult(rd(X0,X0),X0)) = rd(X0,rd(X0,X0)),
    inference(demodulation,[status(thm)],[c_180,c_156]) ).

cnf(c_307,plain,
    rd(X0,rd(X0,X0)) = X0,
    inference(demodulation,[status(thm)],[c_305,c_80]) ).

cnf(c_309,plain,
    mult(X0,mult(rd(X1,mult(X0,X1)),mult(X0,X1))) = mult(X0,X1),
    inference(demodulation,[status(thm)],[c_296,c_307]) ).

cnf(c_316,plain,
    mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(rd(rd(X0,X0),X2),X2)),
    inference(demodulation,[status(thm)],[c_292,c_307]) ).

cnf(c_317,plain,
    mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(X0,ld(X0,rd(X2,X2)))),
    inference(demodulation,[status(thm)],[c_316,c_195]) ).

cnf(c_360,plain,
    mult(rd(X0,X0),ld(rd(X0,X0),mult(rd(X0,X1),X1))) = ld(rd(X0,X0),mult(rd(X0,rd(X2,X1)),rd(X2,X1))),
    inference(superposition,[status(thm)],[c_156,c_51]) ).

cnf(c_433,plain,
    mult(X0,mult(rd(X1,rd(X2,X2)),rd(X2,X2))) = mult(rd(mult(X0,X1),X2),X2),
    inference(superposition,[status(thm)],[c_307,c_84]) ).

cnf(c_475,plain,
    mult(mult(X0,ld(X0,X1)),mult(rd(X2,mult(X1,X2)),mult(X1,X2))) = mult(ld(X0,X3),ld(ld(X0,X3),mult(X1,X2))),
    inference(superposition,[status(thm)],[c_309,c_85]) ).

cnf(c_476,plain,
    mult(rd(X0,rd(X1,mult(rd(X0,X0),X0))),rd(X1,mult(rd(X0,X0),X0))) = mult(rd(X0,X0),X0),
    inference(superposition,[status(thm)],[c_309,c_156]) ).

cnf(c_485,plain,
    mult(ld(X0,X1),ld(ld(X0,X1),X0)) = mult(rd(X0,X0),X0),
    inference(superposition,[status(thm)],[c_278,c_168]) ).

cnf(c_490,plain,
    mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),X2)) = mult(mult(X0,ld(X0,rd(X2,X2))),X2),
    inference(superposition,[status(thm)],[c_51,c_168]) ).

cnf(c_526,plain,
    mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(ld(X0,X3),ld(ld(X0,X3),X2)),
    inference(superposition,[status(thm)],[c_181,c_181]) ).

cnf(c_595,plain,
    mult(mult(X0,ld(X0,X1)),mult(rd(X2,mult(X1,X2)),mult(X1,X2))) = mult(rd(X0,X0),ld(rd(X0,X0),mult(X1,X2))),
    inference(superposition,[status(thm)],[c_309,c_223]) ).

cnf(c_647,plain,
    mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(rd(X0,rd(X3,X2)),rd(X3,X2)),
    inference(superposition,[status(thm)],[c_317,c_317]) ).

cnf(c_664,plain,
    mult(mult(rd(X0,X1),X1),X1) = mult(X0,mult(X1,rd(X1,X1))),
    inference(superposition,[status(thm)],[c_307,c_155]) ).

cnf(c_672,plain,
    mult(mult(rd(X0,X1),X1),X1) = mult(X0,X1),
    inference(demodulation,[status(thm)],[c_664,c_194]) ).

cnf(c_675,plain,
    mult(ld(X0,X1),ld(ld(X0,X1),X0)) = X0,
    inference(demodulation,[status(thm)],[c_485,c_80]) ).

cnf(c_676,plain,
    mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = sP0_iProver_def(X0,X2),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_647]) ).

cnf(c_681,plain,
    mult(ld(X0,X1),ld(ld(X0,X1),X2)) = sP1_iProver_def(X0,X2),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_526]) ).

cnf(c_690,plain,
    mult(rd(mult(X0,X1),X2),X2) = mult(X0,sP0_iProver_def(X1,X2)),
    inference(demodulation,[status(thm)],[c_433,c_676]) ).

cnf(c_708,plain,
    sP0_iProver_def(X0,mult(rd(X0,X0),X0)) = mult(rd(X0,X0),X0),
    inference(demodulation,[status(thm)],[c_476,c_676]) ).

cnf(c_709,plain,
    sP0_iProver_def(X0,X0) = X0,
    inference(demodulation,[status(thm)],[c_708,c_80]) ).

cnf(c_725,plain,
    mult(mult(X0,ld(X0,X1)),mult(rd(X2,mult(X1,X2)),mult(X1,X2))) = mult(mult(X0,ld(X0,X1)),X2),
    inference(demodulation,[status(thm)],[c_595,c_223]) ).

cnf(c_747,plain,
    mult(mult(X0,ld(X0,X1)),X2) = sP1_iProver_def(X0,mult(X1,X2)),
    inference(demodulation,[status(thm)],[c_475,c_681,c_725]) ).

cnf(c_751,plain,
    mult(rd(X0,X0),ld(rd(X0,X0),mult(rd(X0,X1),X1))) = ld(rd(X0,X0),sP0_iProver_def(X0,X1)),
    inference(demodulation,[status(thm)],[c_360,c_676]) ).

cnf(c_752,plain,
    mult(mult(X0,ld(X0,rd(X0,X1))),X1) = ld(rd(X0,X0),sP0_iProver_def(X0,X1)),
    inference(demodulation,[status(thm)],[c_751,c_223]) ).

cnf(c_887,plain,
    mult(X0,mult(X0,ld(X0,ld(X1,X1)))) = sP0_iProver_def(X0,X1),
    inference(demodulation,[status(thm)],[c_183,c_676]) ).

cnf(c_889,plain,
    mult(X0,mult(rd(X1,X2),X2)) = sP0_iProver_def(mult(X0,X1),X2),
    inference(demodulation,[status(thm)],[c_84,c_676]) ).

cnf(c_894,plain,
    mult(X0,mult(X0,ld(X0,rd(X1,X1)))) = sP0_iProver_def(X0,X1),
    inference(demodulation,[status(thm)],[c_887,c_178]) ).

cnf(c_1497,plain,
    mult(mult(X0,ld(X0,rd(X1,X1))),X1) = mult(rd(X0,X0),X1),
    inference(superposition,[status(thm)],[c_195,c_672]) ).

cnf(c_1505,plain,
    mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),X0)) = X0,
    inference(superposition,[status(thm)],[c_51,c_675]) ).

cnf(c_1519,plain,
    mult(rd(X0,X1),X1) = sP0_iProver_def(X0,rd(X1,X1)),
    inference(superposition,[status(thm)],[c_307,c_676]) ).

cnf(c_1526,plain,
    sP1_iProver_def(X0,X0) = X0,
    inference(demodulation,[status(thm)],[c_675,c_681]) ).

cnf(c_1527,plain,
    ld(rd(X0,X0),X0) = X0,
    inference(demodulation,[status(thm)],[c_1505,c_490,c_709,c_752]) ).

cnf(c_1531,plain,
    mult(rd(X0,X0),X1) = sP1_iProver_def(X0,X1),
    inference(demodulation,[status(thm)],[c_1497,c_80,c_747]) ).

cnf(c_1544,plain,
    mult(sP0_iProver_def(X0,rd(X1,X1)),X1) = mult(X0,X1),
    inference(demodulation,[status(thm)],[c_672,c_1519]) ).

cnf(c_1548,plain,
    mult(sP0_iProver_def(x3,rd(x4,x4)),x5) != mult(x3,x5),
    inference(demodulation,[status(thm)],[c_82,c_1519]) ).

cnf(c_1581,plain,
    mult(ld(X0,X1),rd(ld(X0,X1),ld(X0,X1))) = sP1_iProver_def(X0,ld(X0,X1)),
    inference(superposition,[status(thm)],[c_178,c_681]) ).

cnf(c_1583,plain,
    mult(rd(X0,X0),ld(rd(X0,X0),X1)) = sP1_iProver_def(X0,X1),
    inference(superposition,[status(thm)],[c_178,c_681]) ).

cnf(c_1588,plain,
    mult(X0,ld(X0,X1)) = sP1_iProver_def(rd(X0,X0),X1),
    inference(superposition,[status(thm)],[c_1527,c_681]) ).

cnf(c_1594,plain,
    mult(rd(X0,X0),ld(rd(X0,X0),X1)) = ld(rd(X0,X0),sP1_iProver_def(X0,X1)),
    inference(superposition,[status(thm)],[c_1531,c_51]) ).

cnf(c_1596,plain,
    sP1_iProver_def(X0,rd(rd(X0,X0),rd(X0,X0))) = rd(X0,X0),
    inference(superposition,[status(thm)],[c_1531,c_194]) ).

cnf(c_1632,plain,
    mult(rd(mult(X0,X1),sP1_iProver_def(X2,X2)),sP1_iProver_def(X2,X2)) = mult(X0,mult(rd(X1,X2),X2)),
    inference(superposition,[status(thm)],[c_1531,c_160]) ).

cnf(c_1643,plain,
    sP1_iProver_def(rd(rd(X0,X0),rd(X0,X0)),X1) = sP1_iProver_def(X0,X1),
    inference(demodulation,[status(thm)],[c_1583,c_1588]) ).

cnf(c_1646,plain,
    ld(rd(X0,X0),sP1_iProver_def(X0,X1)) = sP1_iProver_def(X0,X1),
    inference(demodulation,[status(thm)],[c_1594,c_1588,c_1643]) ).

cnf(c_1649,plain,
    sP1_iProver_def(X0,ld(X0,X1)) = ld(X0,X1),
    inference(demodulation,[status(thm)],[c_1581,c_194]) ).

cnf(c_1650,plain,
    mult(X0,sP0_iProver_def(X1,X2)) = sP0_iProver_def(mult(X0,X1),X2),
    inference(demodulation,[status(thm)],[c_1632,c_690,c_889,c_1526]) ).

cnf(c_1678,plain,
    ld(X0,mult(X0,X1)) = sP1_iProver_def(rd(X0,X0),X1),
    inference(demodulation,[status(thm)],[c_51,c_1588]) ).

cnf(c_1682,plain,
    sP1_iProver_def(rd(ld(X0,X1),ld(X0,X1)),X2) = sP1_iProver_def(X0,X2),
    inference(demodulation,[status(thm)],[c_681,c_1588]) ).

cnf(c_1734,plain,
    mult(X0,sP0_iProver_def(rd(X0,X0),X1)) = mult(rd(X0,X1),X1),
    inference(superposition,[status(thm)],[c_194,c_690]) ).

cnf(c_1748,plain,
    sP1_iProver_def(rd(rd(X0,X0),rd(X0,X0)),X1) = sP1_iProver_def(X0,ld(rd(X0,X0),X1)),
    inference(superposition,[status(thm)],[c_1588,c_1531]) ).

cnf(c_1787,plain,
    sP1_iProver_def(rd(rd(X0,X0),rd(X0,X0)),X1) = ld(rd(X0,X0),sP1_iProver_def(X0,X1)),
    inference(superposition,[status(thm)],[c_1531,c_1678]) ).

cnf(c_1792,plain,
    mult(X0,sP1_iProver_def(rd(X0,X0),X1)) = sP1_iProver_def(rd(X0,X0),mult(X0,X1)),
    inference(superposition,[status(thm)],[c_1678,c_1588]) ).

cnf(c_1802,plain,
    mult(mult(rd(X0,X0),X0),X1) = sP1_iProver_def(rd(X0,X0),mult(X0,X1)),
    inference(superposition,[status(thm)],[c_1527,c_747]) ).

cnf(c_1814,plain,
    mult(X0,sP1_iProver_def(rd(X0,X0),rd(X1,X1))) = sP0_iProver_def(X0,X1),
    inference(superposition,[status(thm)],[c_1588,c_894]) ).

cnf(c_1815,plain,
    mult(rd(X0,X0),sP1_iProver_def(X0,ld(rd(X0,X0),rd(X1,X1)))) = sP0_iProver_def(rd(X0,X0),X1),
    inference(superposition,[status(thm)],[c_1531,c_894]) ).

cnf(c_1819,plain,
    sP1_iProver_def(rd(X0,X0),mult(X0,ld(X0,rd(X1,X1)))) = ld(X0,sP0_iProver_def(X0,X1)),
    inference(superposition,[status(thm)],[c_894,c_1678]) ).

cnf(c_1850,plain,
    ld(rd(X0,X0),rd(X0,X0)) = rd(X0,X0),
    inference(superposition,[status(thm)],[c_1596,c_1646]) ).

cnf(c_1958,plain,
    rd(rd(X0,X0),rd(X0,X0)) = rd(X0,X0),
    inference(demodulation,[status(thm)],[c_1850,c_178]) ).

cnf(c_1965,plain,
    mult(rd(X0,X1),X1) = sP0_iProver_def(X0,X1),
    inference(demodulation,[status(thm)],[c_1734,c_194,c_1650]) ).

cnf(c_1970,plain,
    sP1_iProver_def(rd(X0,X0),mult(X0,X1)) = mult(sP0_iProver_def(X0,X0),X1),
    inference(demodulation,[status(thm)],[c_1802,c_1965]) ).

cnf(c_1971,plain,
    sP1_iProver_def(rd(X0,X0),mult(X0,X1)) = mult(X0,X1),
    inference(demodulation,[status(thm)],[c_1970,c_709]) ).

cnf(c_1972,plain,
    mult(X0,sP1_iProver_def(rd(X0,X0),X1)) = mult(X0,X1),
    inference(demodulation,[status(thm)],[c_1792,c_1971]) ).

cnf(c_1994,plain,
    mult(X0,ld(X0,rd(X1,X1))) = ld(X0,sP0_iProver_def(X0,X1)),
    inference(demodulation,[status(thm)],[c_1819,c_1971]) ).

cnf(c_1995,plain,
    sP1_iProver_def(rd(X0,X0),rd(X1,X1)) = ld(X0,sP0_iProver_def(X0,X1)),
    inference(demodulation,[status(thm)],[c_1994,c_1588]) ).

cnf(c_1999,plain,
    ld(rd(X0,X0),sP1_iProver_def(X0,X1)) = sP1_iProver_def(rd(X0,X0),X1),
    inference(demodulation,[status(thm)],[c_1787,c_1958]) ).

cnf(c_2000,plain,
    sP1_iProver_def(rd(X0,X0),X1) = sP1_iProver_def(X0,X1),
    inference(demodulation,[status(thm)],[c_1999,c_1646]) ).

cnf(c_2002,plain,
    sP1_iProver_def(X0,ld(rd(X0,X0),X1)) = sP1_iProver_def(X0,X1),
    inference(demodulation,[status(thm)],[c_1748,c_2000]) ).

cnf(c_2025,plain,
    mult(rd(X0,X0),sP1_iProver_def(X0,rd(X1,X1))) = sP0_iProver_def(rd(X0,X0),X1),
    inference(demodulation,[status(thm)],[c_1815,c_2002]) ).

cnf(c_2026,plain,
    sP1_iProver_def(X0,sP1_iProver_def(X0,rd(X1,X1))) = sP0_iProver_def(rd(X0,X0),X1),
    inference(demodulation,[status(thm)],[c_2025,c_1531]) ).

cnf(c_2080,plain,
    sP0_iProver_def(X0,rd(X1,X1)) = sP0_iProver_def(X0,X1),
    inference(demodulation,[status(thm)],[c_1519,c_1965]) ).

cnf(c_2084,plain,
    mult(sP0_iProver_def(X0,X1),X1) = mult(X0,X1),
    inference(demodulation,[status(thm)],[c_1544,c_2080]) ).

cnf(c_2088,plain,
    mult(sP0_iProver_def(x3,x4),x5) != mult(x3,x5),
    inference(demodulation,[status(thm)],[c_1548,c_2080]) ).

cnf(c_2090,plain,
    ld(X0,mult(X0,X1)) = sP1_iProver_def(X0,X1),
    inference(demodulation,[status(thm)],[c_1678,c_2000]) ).

cnf(c_2091,plain,
    mult(X0,ld(X0,X1)) = sP1_iProver_def(X0,X1),
    inference(demodulation,[status(thm)],[c_1588,c_2000]) ).

cnf(c_2092,plain,
    sP1_iProver_def(ld(X0,X1),X2) = sP1_iProver_def(X0,X2),
    inference(demodulation,[status(thm)],[c_1682,c_2000]) ).

cnf(c_2093,plain,
    mult(sP1_iProver_def(X0,X1),X2) = sP1_iProver_def(X0,mult(X1,X2)),
    inference(demodulation,[status(thm)],[c_747,c_2091]) ).

cnf(c_2094,plain,
    mult(X0,sP1_iProver_def(X0,rd(X1,X1))) = sP0_iProver_def(X0,X1),
    inference(demodulation,[status(thm)],[c_894,c_2091]) ).

cnf(c_3591,plain,
    ld(X0,sP1_iProver_def(X0,X1)) = sP1_iProver_def(X0,ld(X0,X1)),
    inference(superposition,[status(thm)],[c_2091,c_2090]) ).

cnf(c_3606,plain,
    sP1_iProver_def(sP1_iProver_def(X0,X1),X2) = sP1_iProver_def(X0,X2),
    inference(superposition,[status(thm)],[c_2090,c_2092]) ).

cnf(c_3675,plain,
    mult(X0,sP1_iProver_def(X0,X1)) = mult(X0,X1),
    inference(superposition,[status(thm)],[c_2000,c_1972]) ).

cnf(c_3725,plain,
    ld(X0,sP1_iProver_def(X0,X1)) = ld(X0,X1),
    inference(demodulation,[status(thm)],[c_3591,c_1649]) ).

cnf(c_4308,plain,
    ld(sP1_iProver_def(X0,X1),sP1_iProver_def(X0,X2)) = ld(sP1_iProver_def(X0,X1),X2),
    inference(superposition,[status(thm)],[c_3606,c_3725]) ).

cnf(c_4341,plain,
    ld(sP1_iProver_def(X0,X1),sP1_iProver_def(X0,mult(X1,X2))) = sP1_iProver_def(sP1_iProver_def(X0,X1),X2),
    inference(superposition,[status(thm)],[c_2093,c_2090]) ).

cnf(c_4362,plain,
    sP1_iProver_def(X0,sP1_iProver_def(X0,rd(X1,X1))) = ld(X0,sP0_iProver_def(X0,X1)),
    inference(superposition,[status(thm)],[c_2094,c_2090]) ).

cnf(c_4495,plain,
    mult(X0,rd(X1,X1)) = sP0_iProver_def(X0,X1),
    inference(superposition,[status(thm)],[c_1814,c_1972]) ).

cnf(c_4514,plain,
    ld(X0,sP0_iProver_def(X0,X1)) = sP0_iProver_def(rd(X0,X0),X1),
    inference(demodulation,[status(thm)],[c_4362,c_2026]) ).

cnf(c_4553,plain,
    ld(sP1_iProver_def(X0,X1),mult(X1,X2)) = sP1_iProver_def(sP1_iProver_def(X0,X1),X2),
    inference(demodulation,[status(thm)],[c_4341,c_4308]) ).

cnf(c_4554,plain,
    ld(sP1_iProver_def(X0,X1),mult(X1,X2)) = sP1_iProver_def(X0,X2),
    inference(demodulation,[status(thm)],[c_4553,c_3606]) ).

cnf(c_5154,plain,
    ld(sP1_iProver_def(X0,X1),mult(X1,X2)) = sP1_iProver_def(X0,sP1_iProver_def(X1,X2)),
    inference(superposition,[status(thm)],[c_3675,c_4554]) ).

cnf(c_5309,plain,
    sP1_iProver_def(X0,sP1_iProver_def(X1,X2)) = sP1_iProver_def(X0,X2),
    inference(demodulation,[status(thm)],[c_5154,c_4554]) ).

cnf(c_6118,plain,
    mult(X0,sP1_iProver_def(X0,X1)) = mult(X0,sP1_iProver_def(X2,X1)),
    inference(superposition,[status(thm)],[c_5309,c_3675]) ).

cnf(c_6357,plain,
    mult(X0,sP1_iProver_def(X1,X2)) = mult(X0,X2),
    inference(demodulation,[status(thm)],[c_6118,c_3675]) ).

cnf(c_6465,plain,
    mult(X0,ld(X1,sP0_iProver_def(X1,X2))) = mult(X0,rd(X2,X2)),
    inference(superposition,[status(thm)],[c_1995,c_6357]) ).

cnf(c_6732,plain,
    sP0_iProver_def(sP0_iProver_def(X0,X1),X2) = sP0_iProver_def(X0,X2),
    inference(demodulation,[status(thm)],[c_6465,c_1650,c_4495,c_4514]) ).

cnf(c_6928,plain,
    mult(sP0_iProver_def(X0,X1),X1) = mult(sP0_iProver_def(X0,X2),X1),
    inference(superposition,[status(thm)],[c_6732,c_2084]) ).

cnf(c_7192,plain,
    mult(sP0_iProver_def(X0,X1),X2) = mult(X0,X2),
    inference(demodulation,[status(thm)],[c_6928,c_2084]) ).

cnf(c_7307,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_2088,c_7192]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15  % Problem  : GRP683-11 : TPTP v8.2.0. Released v8.1.0.
% 0.09/0.15  % Command  : run_iprover %s %d THM
% 0.15/0.37  % Computer : n020.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Thu Jun 20 10:46:39 EDT 2024
% 0.15/0.37  % CPUTime  : 
% 0.24/0.53  Running UEQ theorem proving
% 0.24/0.53  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.87/1.71  % SZS status Started for theBenchmark.p
% 7.87/1.71  % SZS status Unsatisfiable for theBenchmark.p
% 7.87/1.71  
% 7.87/1.71  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.87/1.71  
% 7.87/1.71  ------  iProver source info
% 7.87/1.71  
% 7.87/1.71  git: date: 2024-06-12 09:56:46 +0000
% 7.87/1.71  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 7.87/1.71  git: non_committed_changes: false
% 7.87/1.71  
% 7.87/1.71  ------ Parsing...successful
% 7.87/1.71  
% 7.87/1.71  
% 7.87/1.71  
% 7.87/1.71  ------ Preprocessing... sup_sim: 6  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 7.87/1.71  
% 7.87/1.71  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.87/1.71  
% 7.87/1.71  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 7.87/1.71  ------ Proving...
% 7.87/1.71  ------ Problem Properties 
% 7.87/1.71  
% 7.87/1.71  
% 7.87/1.71  clauses                                 8
% 7.87/1.71  conjectures                             0
% 7.87/1.71  EPR                                     0
% 7.87/1.71  Horn                                    8
% 7.87/1.71  unary                                   8
% 7.87/1.71  binary                                  0
% 7.87/1.71  lits                                    8
% 7.87/1.71  lits eq                                 8
% 7.87/1.71  fd_pure                                 0
% 7.87/1.71  fd_pseudo                               0
% 7.87/1.71  fd_cond                                 0
% 7.87/1.71  fd_pseudo_cond                          0
% 7.87/1.71  AC symbols                              0
% 7.87/1.71  
% 7.87/1.71  ------ Input Options Time Limit: Unbounded
% 7.87/1.71  
% 7.87/1.71  
% 7.87/1.71  ------ 
% 7.87/1.71  Current options:
% 7.87/1.71  ------ 
% 7.87/1.71  
% 7.87/1.71  
% 7.87/1.71  
% 7.87/1.71  
% 7.87/1.71  ------ Proving...
% 7.87/1.71  
% 7.87/1.71  
% 7.87/1.71  % SZS status Unsatisfiable for theBenchmark.p
% 7.87/1.71  
% 7.87/1.71  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.87/1.71  
% 7.87/1.72  
%------------------------------------------------------------------------------