TSTP Solution File: GRP682+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP682+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 : Thu Aug 31 01:01:22 EDT 2023
% Result : Theorem 9.99s 2.18s
% Output : CNFRefutation 9.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 9
% Syntax : Number of formulae : 137 ( 126 unt; 0 def)
% Number of atoms : 150 ( 149 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 21 ~; 9 |; 3 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 307 ( 0 sgn; 55 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ld(X0,mult(X0,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0] : rd(mult(X0,X0),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X1,X0] : mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X1,X0] : mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X2,X3,X1,X0] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X3,X2))) = mult(ld(X0,mult(X0,X3)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f6,axiom,
! [X2,X3,X1,X0] : rd(mult(mult(X0,X1),rd(X3,X2)),rd(X3,X2)) = mult(X0,rd(mult(X1,X2),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
fof(f7,axiom,
! [X1,X0] : ld(X0,mult(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
fof(f8,conjecture,
! [X4,X5,X6] :
( ld(X4,mult(X4,X6)) = ld(rd(X4,X5),mult(rd(X4,X5),X6))
& ld(ld(X4,X5),mult(ld(X4,X5),X6)) = ld(X4,mult(X4,X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f9,negated_conjecture,
~ ! [X4,X5,X6] :
( ld(X4,mult(X4,X6)) = ld(rd(X4,X5),mult(rd(X4,X5),X6))
& ld(ld(X4,X5),mult(ld(X4,X5),X6)) = ld(X4,mult(X4,X6)) ),
inference(negated_conjecture,[],[f8]) ).
fof(f10,plain,
! [X0,X1] : mult(X1,ld(X1,X0)) = ld(X1,mult(X1,X0)),
inference(rectify,[],[f3]) ).
fof(f11,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = rd(mult(X1,X0),X0),
inference(rectify,[],[f4]) ).
fof(f12,plain,
! [X0,X1,X2,X3] : ld(ld(X3,X2),mult(ld(X3,X2),mult(X1,X0))) = mult(ld(X3,mult(X3,X1)),X0),
inference(rectify,[],[f5]) ).
fof(f13,plain,
! [X0,X1,X2,X3] : rd(mult(mult(X3,X2),rd(X1,X0)),rd(X1,X0)) = mult(X3,rd(mult(X2,X0),X0)),
inference(rectify,[],[f6]) ).
fof(f14,plain,
! [X0,X1] : ld(X1,mult(X1,ld(X0,X0))) = rd(mult(rd(X1,X1),X0),X0),
inference(rectify,[],[f7]) ).
fof(f15,plain,
~ ! [X0,X1,X2] :
( ld(X0,mult(X0,X2)) = ld(rd(X0,X1),mult(rd(X0,X1),X2))
& ld(X0,mult(X0,X2)) = ld(ld(X0,X1),mult(ld(X0,X1),X2)) ),
inference(rectify,[],[f9]) ).
fof(f16,plain,
? [X0,X1,X2] :
( ld(X0,mult(X0,X2)) != ld(rd(X0,X1),mult(rd(X0,X1),X2))
| ld(X0,mult(X0,X2)) != ld(ld(X0,X1),mult(ld(X0,X1),X2)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( ? [X0,X1,X2] :
( ld(X0,mult(X0,X2)) != ld(rd(X0,X1),mult(rd(X0,X1),X2))
| ld(X0,mult(X0,X2)) != ld(ld(X0,X1),mult(ld(X0,X1),X2)) )
=> ( ld(sK0,mult(sK0,sK2)) != ld(rd(sK0,sK1),mult(rd(sK0,sK1),sK2))
| ld(sK0,mult(sK0,sK2)) != ld(ld(sK0,sK1),mult(ld(sK0,sK1),sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( ld(sK0,mult(sK0,sK2)) != ld(rd(sK0,sK1),mult(rd(sK0,sK1),sK2))
| ld(sK0,mult(sK0,sK2)) != ld(ld(sK0,sK1),mult(ld(sK0,sK1),sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f16,f17]) ).
fof(f19,plain,
! [X0] : ld(X0,mult(X0,X0)) = X0,
inference(cnf_transformation,[],[f1]) ).
fof(f20,plain,
! [X0] : rd(mult(X0,X0),X0) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f21,plain,
! [X0,X1] : mult(X1,ld(X1,X0)) = ld(X1,mult(X1,X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f22,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = rd(mult(X1,X0),X0),
inference(cnf_transformation,[],[f11]) ).
fof(f23,plain,
! [X2,X3,X0,X1] : ld(ld(X3,X2),mult(ld(X3,X2),mult(X1,X0))) = mult(ld(X3,mult(X3,X1)),X0),
inference(cnf_transformation,[],[f12]) ).
fof(f24,plain,
! [X2,X3,X0,X1] : rd(mult(mult(X3,X2),rd(X1,X0)),rd(X1,X0)) = mult(X3,rd(mult(X2,X0),X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f25,plain,
! [X0,X1] : ld(X1,mult(X1,ld(X0,X0))) = rd(mult(rd(X1,X1),X0),X0),
inference(cnf_transformation,[],[f14]) ).
fof(f26,plain,
( ld(sK0,mult(sK0,sK2)) != ld(rd(sK0,sK1),mult(rd(sK0,sK1),sK2))
| ld(sK0,mult(sK0,sK2)) != ld(ld(sK0,sK1),mult(ld(sK0,sK1),sK2)) ),
inference(cnf_transformation,[],[f18]) ).
cnf(c_49,plain,
ld(X0,mult(X0,X0)) = X0,
inference(cnf_transformation,[],[f19]) ).
cnf(c_50,plain,
rd(mult(X0,X0),X0) = X0,
inference(cnf_transformation,[],[f20]) ).
cnf(c_51,plain,
mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
inference(cnf_transformation,[],[f21]) ).
cnf(c_52,plain,
mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
inference(cnf_transformation,[],[f22]) ).
cnf(c_53,plain,
ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(ld(X0,mult(X0,X2)),X3),
inference(cnf_transformation,[],[f23]) ).
cnf(c_54,plain,
rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,rd(mult(X1,X3),X3)),
inference(cnf_transformation,[],[f24]) ).
cnf(c_55,plain,
ld(X0,mult(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
inference(cnf_transformation,[],[f25]) ).
cnf(c_56,negated_conjecture,
( ld(ld(sK0,sK1),mult(ld(sK0,sK1),sK2)) != ld(sK0,mult(sK0,sK2))
| ld(rd(sK0,sK1),mult(rd(sK0,sK1),sK2)) != ld(sK0,mult(sK0,sK2)) ),
inference(cnf_transformation,[],[f26]) ).
cnf(c_82,plain,
mult(rd(X0,X0),X0) = X0,
inference(demodulation,[status(thm)],[c_50,c_52]) ).
cnf(c_83,plain,
mult(X0,ld(X0,X0)) = X0,
inference(demodulation,[status(thm)],[c_49,c_51]) ).
cnf(c_84,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_85,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_86,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_87,plain,
( mult(ld(sK0,sK1),ld(ld(sK0,sK1),sK2)) != mult(sK0,ld(sK0,sK2))
| mult(rd(sK0,sK1),ld(rd(sK0,sK1),sK2)) != mult(sK0,ld(sK0,sK2)) ),
inference(demodulation,[status(thm)],[c_56,c_51]) ).
cnf(c_156,plain,
mult(X0,ld(X0,ld(X0,X0))) = ld(X0,X0),
inference(superposition,[status(thm)],[c_83,c_51]) ).
cnf(c_159,plain,
mult(rd(rd(X0,X0),X0),X0) = rd(X0,X0),
inference(superposition,[status(thm)],[c_82,c_52]) ).
cnf(c_160,plain,
mult(rd(X0,ld(X0,X0)),ld(X0,X0)) = rd(X0,ld(X0,X0)),
inference(superposition,[status(thm)],[c_83,c_52]) ).
cnf(c_167,plain,
ld(X0,X0) = rd(X0,X0),
inference(demodulation,[status(thm)],[c_159,c_84,c_156]) ).
cnf(c_168,plain,
mult(ld(X0,X0),X0) = X0,
inference(demodulation,[status(thm)],[c_82,c_167]) ).
cnf(c_171,plain,
mult(ld(X0,X0),ld(ld(X0,X0),X0)) = ld(ld(X0,X0),X0),
inference(superposition,[status(thm)],[c_168,c_51]) ).
cnf(c_175,plain,
mult(rd(ld(X0,X0),X1),X1) = mult(X0,ld(X0,ld(X1,X1))),
inference(light_normalisation,[status(thm)],[c_84,c_167]) ).
cnf(c_183,plain,
mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(rd(ld(X0,X0),X2),X2)),
inference(superposition,[status(thm)],[c_83,c_85]) ).
cnf(c_186,plain,
mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(ld(X0,X0),mult(rd(X0,X2),X2)),
inference(superposition,[status(thm)],[c_168,c_85]) ).
cnf(c_191,plain,
mult(rd(mult(X0,X1),ld(X2,X2)),ld(X2,X2)) = mult(X0,mult(rd(X1,X2),X2)),
inference(superposition,[status(thm)],[c_167,c_85]) ).
cnf(c_220,plain,
mult(mult(X0,ld(X0,X1)),ld(X1,X1)) = mult(ld(X0,X2),ld(ld(X0,X2),X1)),
inference(superposition,[status(thm)],[c_83,c_86]) ).
cnf(c_224,plain,
mult(mult(X0,ld(X0,ld(X1,X1))),X1) = mult(ld(X0,X2),ld(ld(X0,X2),X1)),
inference(superposition,[status(thm)],[c_168,c_86]) ).
cnf(c_349,plain,
mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(X0,ld(X0,ld(X2,X2)))),
inference(demodulation,[status(thm)],[c_183,c_175]) ).
cnf(c_356,plain,
mult(rd(X0,ld(X1,X1)),ld(X1,X1)) = mult(X0,mult(X0,ld(X0,ld(X1,X1)))),
inference(superposition,[status(thm)],[c_167,c_349]) ).
cnf(c_360,plain,
mult(rd(X0,rd(X1,X0)),rd(X1,X0)) = mult(X0,ld(X0,X0)),
inference(superposition,[status(thm)],[c_156,c_349]) ).
cnf(c_373,plain,
mult(rd(X0,rd(X1,X0)),rd(X1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_360,c_83]) ).
cnf(c_374,plain,
mult(X0,mult(X0,ld(X0,ld(X0,X0)))) = rd(X0,ld(X0,X0)),
inference(demodulation,[status(thm)],[c_160,c_356]) ).
cnf(c_375,plain,
rd(X0,ld(X0,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_374,c_83,c_156]) ).
cnf(c_415,plain,
mult(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))) = mult(rd(mult(X0,X1),X2),X2),
inference(superposition,[status(thm)],[c_375,c_85]) ).
cnf(c_607,plain,
mult(rd(X0,rd(X1,rd(X2,X0))),rd(X1,rd(X2,X0))) = mult(ld(X0,X0),X0),
inference(superposition,[status(thm)],[c_373,c_186]) ).
cnf(c_632,plain,
mult(rd(X0,rd(X1,rd(X2,X0))),rd(X1,rd(X2,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_607,c_168]) ).
cnf(c_843,plain,
mult(ld(X0,X1),ld(ld(X0,X1),X0)) = X0,
inference(superposition,[status(thm)],[c_83,c_220]) ).
cnf(c_870,plain,
ld(ld(X0,X0),X0) = X0,
inference(demodulation,[status(thm)],[c_171,c_843]) ).
cnf(c_966,plain,
mult(mult(ld(X0,X0),ld(ld(X0,X0),X1)),ld(X1,X1)) = mult(X0,ld(X0,X1)),
inference(superposition,[status(thm)],[c_870,c_220]) ).
cnf(c_984,plain,
mult(ld(ld(X0,X1),X2),ld(ld(ld(X0,X1),X2),X0)) = mult(X0,ld(X0,X0)),
inference(superposition,[status(thm)],[c_843,c_220]) ).
cnf(c_997,plain,
mult(ld(ld(X0,X1),X2),ld(ld(ld(X0,X1),X2),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_984,c_83]) ).
cnf(c_1042,plain,
mult(rd(ld(X0,X0),rd(X1,X0)),rd(X1,X0)) = ld(X0,X0),
inference(superposition,[status(thm)],[c_375,c_632]) ).
cnf(c_1281,plain,
mult(ld(mult(X0,ld(X0,X1)),X2),ld(ld(mult(X0,ld(X0,X1)),X2),X0)) = X0,
inference(superposition,[status(thm)],[c_51,c_997]) ).
cnf(c_1282,plain,
mult(ld(X0,X1),ld(ld(X0,X1),ld(X0,X0))) = ld(X0,X0),
inference(superposition,[status(thm)],[c_870,c_997]) ).
cnf(c_1355,plain,
mult(X0,ld(X0,ld(rd(X1,X0),rd(X1,X0)))) = ld(X0,X0),
inference(demodulation,[status(thm)],[c_1042,c_175]) ).
cnf(c_1362,plain,
mult(ld(X0,X0),ld(ld(X0,X0),ld(X0,X0))) = ld(ld(X0,X0),ld(X0,X0)),
inference(superposition,[status(thm)],[c_375,c_1355]) ).
cnf(c_1765,plain,
mult(mult(X0,ld(X0,ld(X0,X0))),ld(ld(X0,X0),ld(X0,X0))) = ld(X0,X0),
inference(superposition,[status(thm)],[c_1282,c_220]) ).
cnf(c_1767,plain,
ld(ld(X0,X0),ld(X0,X0)) = ld(X0,X0),
inference(light_normalisation,[status(thm)],[c_1765,c_156,c_1362]) ).
cnf(c_1833,plain,
mult(mult(ld(X0,X0),ld(ld(X0,X0),X1)),ld(X1,X1)) = mult(ld(X0,X0),ld(ld(X0,X0),X1)),
inference(superposition,[status(thm)],[c_1767,c_220]) ).
cnf(c_1834,plain,
mult(rd(mult(X0,X1),ld(X2,X2)),ld(X2,X2)) = mult(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))),
inference(superposition,[status(thm)],[c_1767,c_191]) ).
cnf(c_1844,plain,
mult(rd(mult(X0,X1),X2),X2) = mult(X0,mult(rd(X1,X2),X2)),
inference(light_normalisation,[status(thm)],[c_1834,c_191,c_415]) ).
cnf(c_1845,plain,
mult(ld(X0,X0),ld(ld(X0,X0),X1)) = mult(X0,ld(X0,X1)),
inference(light_normalisation,[status(thm)],[c_1833,c_966]) ).
cnf(c_1919,plain,
mult(mult(rd(X0,X1),X1),X1) = mult(X0,mult(rd(X1,X1),X1)),
inference(superposition,[status(thm)],[c_52,c_1844]) ).
cnf(c_1923,plain,
mult(X0,mult(rd(ld(X0,X0),X1),X1)) = mult(rd(X0,X1),X1),
inference(superposition,[status(thm)],[c_83,c_1844]) ).
cnf(c_1928,plain,
mult(ld(X0,X0),mult(rd(X0,X1),X1)) = mult(rd(X0,X1),X1),
inference(superposition,[status(thm)],[c_168,c_1844]) ).
cnf(c_1966,plain,
mult(X0,mult(X0,ld(X0,ld(X1,X1)))) = mult(rd(X0,X1),X1),
inference(light_normalisation,[status(thm)],[c_1923,c_175]) ).
cnf(c_1979,plain,
mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(rd(X0,X2),X2),
inference(demodulation,[status(thm)],[c_186,c_1928]) ).
cnf(c_2135,plain,
mult(mult(X0,ld(X0,X1)),X2) = mult(X0,ld(X0,mult(X1,X2))),
inference(superposition,[status(thm)],[c_1845,c_86]) ).
cnf(c_2139,plain,
mult(mult(X0,ld(X0,ld(X1,X1))),X1) = mult(X0,ld(X0,X1)),
inference(superposition,[status(thm)],[c_1845,c_224]) ).
cnf(c_2160,plain,
mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(X0,ld(X0,mult(X2,ld(X2,X2)))),
inference(demodulation,[status(thm)],[c_220,c_2135]) ).
cnf(c_2163,plain,
mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(X0,ld(X0,mult(ld(X2,X2),X2))),
inference(demodulation,[status(thm)],[c_224,c_2135]) ).
cnf(c_2166,plain,
( mult(rd(sK0,sK1),ld(rd(sK0,sK1),sK2)) != mult(sK0,ld(sK0,sK2))
| mult(sK0,ld(sK0,mult(ld(sK2,sK2),sK2))) != mult(sK0,ld(sK0,sK2)) ),
inference(demodulation,[status(thm)],[c_87,c_2163]) ).
cnf(c_2226,plain,
( mult(rd(sK0,sK1),ld(rd(sK0,sK1),sK2)) != mult(sK0,ld(sK0,sK2))
| mult(sK0,ld(sK0,sK2)) != mult(sK0,ld(sK0,sK2)) ),
inference(demodulation,[status(thm)],[c_2166,c_168]) ).
cnf(c_2227,plain,
mult(rd(sK0,sK1),ld(rd(sK0,sK1),sK2)) != mult(sK0,ld(sK0,sK2)),
inference(equality_resolution_simp,[status(thm)],[c_2226]) ).
cnf(c_2228,plain,
mult(mult(rd(X0,X1),X1),X1) = mult(X0,X1),
inference(demodulation,[status(thm)],[c_1919,c_167,c_168]) ).
cnf(c_2230,plain,
mult(mult(X0,ld(X0,ld(X1,X1))),X1) = mult(ld(X0,X0),X1),
inference(superposition,[status(thm)],[c_175,c_2228]) ).
cnf(c_2244,plain,
mult(ld(X0,X0),X1) = mult(X0,ld(X0,X1)),
inference(light_normalisation,[status(thm)],[c_2230,c_2139]) ).
cnf(c_2250,plain,
mult(X0,ld(X0,ld(ld(X0,X0),X1))) = mult(X0,ld(X0,X1)),
inference(demodulation,[status(thm)],[c_1845,c_2244]) ).
cnf(c_2270,plain,
mult(rd(mult(X0,ld(X0,X1)),X2),X2) = mult(ld(X0,X0),mult(rd(X1,X2),X2)),
inference(superposition,[status(thm)],[c_2244,c_1844]) ).
cnf(c_2718,plain,
mult(X0,ld(X0,mult(X0,X1))) = mult(X0,X1),
inference(superposition,[status(thm)],[c_83,c_2135]) ).
cnf(c_2719,plain,
mult(X0,ld(X0,mult(ld(X0,X0),X1))) = mult(ld(X0,X0),X1),
inference(superposition,[status(thm)],[c_156,c_2135]) ).
cnf(c_2736,plain,
mult(rd(mult(X0,ld(X0,X1)),X2),X2) = rd(mult(X0,ld(X0,mult(X1,X2))),X2),
inference(superposition,[status(thm)],[c_2135,c_52]) ).
cnf(c_2749,plain,
mult(X0,mult(X0,ld(X0,X1))) = mult(X0,X1),
inference(light_normalisation,[status(thm)],[c_2718,c_51]) ).
cnf(c_2750,plain,
mult(X0,ld(X0,mult(X0,ld(X0,X1)))) = mult(X0,ld(X0,X1)),
inference(light_normalisation,[status(thm)],[c_2719,c_2244]) ).
cnf(c_2751,plain,
mult(ld(X0,X0),mult(rd(X1,X2),X2)) = rd(mult(X0,ld(X0,mult(X1,X2))),X2),
inference(light_normalisation,[status(thm)],[c_2736,c_2270]) ).
cnf(c_2763,plain,
mult(rd(X0,X1),X1) = mult(X0,ld(X1,X1)),
inference(demodulation,[status(thm)],[c_1966,c_2749]) ).
cnf(c_2766,plain,
mult(X0,ld(X1,X1)) = rd(mult(X0,X1),X1),
inference(demodulation,[status(thm)],[c_52,c_2763]) ).
cnf(c_2768,plain,
mult(rd(mult(X0,X1),X2),X2) = mult(X0,mult(X1,ld(X2,X2))),
inference(demodulation,[status(thm)],[c_1844,c_2763]) ).
cnf(c_2943,plain,
mult(rd(X0,X1),ld(X1,X1)) = rd(mult(X0,ld(X1,X1)),X1),
inference(superposition,[status(thm)],[c_2763,c_2766]) ).
cnf(c_3081,plain,
mult(X0,ld(rd(X1,X2),rd(X1,X2))) = mult(X0,ld(X2,X2)),
inference(demodulation,[status(thm)],[c_1979,c_2763]) ).
cnf(c_3102,plain,
mult(rd(X0,X1),ld(X1,X1)) = rd(X0,X1),
inference(superposition,[status(thm)],[c_3081,c_83]) ).
cnf(c_3610,plain,
mult(mult(X0,X1),ld(X2,X2)) = mult(X0,mult(X1,ld(X2,X2))),
inference(demodulation,[status(thm)],[c_2768,c_2763]) ).
cnf(c_3647,plain,
mult(X0,mult(ld(X0,X1),ld(X2,X2))) = mult(X0,ld(X0,mult(X1,ld(X2,X2)))),
inference(superposition,[status(thm)],[c_3610,c_2135]) ).
cnf(c_3837,plain,
rd(mult(X0,ld(X1,X1)),X1) = rd(X0,X1),
inference(light_normalisation,[status(thm)],[c_2943,c_3102]) ).
cnf(c_3840,plain,
rd(mult(X0,ld(X0,mult(X1,ld(X2,X2)))),X2) = rd(mult(X0,ld(X0,X1)),X2),
inference(superposition,[status(thm)],[c_2135,c_3837]) ).
cnf(c_3857,plain,
rd(mult(X0,mult(ld(X0,X1),ld(X2,X2))),X2) = rd(mult(X0,ld(X0,X1)),X2),
inference(light_normalisation,[status(thm)],[c_3840,c_3647]) ).
cnf(c_4853,plain,
mult(ld(mult(X0,mult(X0,ld(X0,X1))),X2),ld(ld(mult(X0,mult(X0,ld(X0,X1))),X2),X0)) = X0,
inference(superposition,[status(thm)],[c_51,c_1281]) ).
cnf(c_4869,plain,
mult(ld(mult(X0,X1),X2),ld(ld(mult(X0,X1),X2),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_4853,c_2749]) ).
cnf(c_4906,plain,
mult(ld(X0,X1),ld(ld(X0,X1),ld(X0,X2))) = ld(X0,X2),
inference(superposition,[status(thm)],[c_843,c_4869]) ).
cnf(c_5392,plain,
mult(X0,ld(X0,ld(ld(X0,X0),X1))) = ld(ld(X0,X0),X1),
inference(superposition,[status(thm)],[c_870,c_4906]) ).
cnf(c_5410,plain,
mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X1)))) = ld(X0,X1),
inference(superposition,[status(thm)],[c_4906,c_2244]) ).
cnf(c_5411,plain,
mult(X0,ld(X0,X1)) = ld(ld(X0,X0),X1),
inference(light_normalisation,[status(thm)],[c_5392,c_2250]) ).
cnf(c_5970,plain,
mult(X0,ld(X0,ld(X0,X1))) = ld(X0,X1),
inference(demodulation,[status(thm)],[c_5410,c_51,c_2749,c_5411]) ).
cnf(c_5984,plain,
mult(X0,ld(X0,mult(ld(X0,X1),X2))) = mult(ld(X0,X1),X2),
inference(superposition,[status(thm)],[c_5970,c_2135]) ).
cnf(c_6479,plain,
mult(mult(X0,X1),ld(mult(X0,X1),X0)) = X0,
inference(superposition,[status(thm)],[c_4869,c_5984]) ).
cnf(c_6704,plain,
mult(mult(X0,X1),ld(mult(X0,X1),mult(X0,X2))) = mult(X0,X2),
inference(superposition,[status(thm)],[c_6479,c_2135]) ).
cnf(c_7224,plain,
mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(X0,mult(ld(X0,X2),ld(X2,X2))),
inference(demodulation,[status(thm)],[c_2160,c_3647]) ).
cnf(c_7270,plain,
mult(X0,mult(ld(X0,X1),ld(X1,X1))) = mult(X0,ld(X0,ld(ld(X0,X0),X1))),
inference(superposition,[status(thm)],[c_7224,c_2244]) ).
cnf(c_7287,plain,
mult(X0,mult(ld(X0,X1),ld(X1,X1))) = mult(X0,ld(X0,X1)),
inference(light_normalisation,[status(thm)],[c_7270,c_2750,c_5411]) ).
cnf(c_7296,plain,
mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(X0,ld(X0,X2)),
inference(demodulation,[status(thm)],[c_7224,c_7287]) ).
cnf(c_7897,plain,
mult(X0,ld(X0,mult(mult(X0,X1),X2))) = mult(mult(X0,X1),X2),
inference(superposition,[status(thm)],[c_6479,c_6704]) ).
cnf(c_8650,plain,
mult(X0,mult(ld(X0,rd(X1,X2)),ld(X2,X2))) = mult(X0,ld(X0,rd(X1,X2))),
inference(superposition,[status(thm)],[c_3081,c_7287]) ).
cnf(c_8904,plain,
mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),X2)) = mult(X0,ld(X0,X2)),
inference(superposition,[status(thm)],[c_51,c_7296]) ).
cnf(c_14911,plain,
mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),X2)))) = mult(X0,ld(X0,X2)),
inference(demodulation,[status(thm)],[c_8904,c_2135]) ).
cnf(c_14995,plain,
mult(mult(X0,X1),ld(mult(X0,ld(X0,mult(X0,X1))),X2)) = mult(X0,ld(X0,X2)),
inference(superposition,[status(thm)],[c_14911,c_7897]) ).
cnf(c_15002,plain,
mult(mult(X0,X1),ld(mult(X0,X1),X2)) = mult(X0,ld(X0,X2)),
inference(light_normalisation,[status(thm)],[c_14995,c_51,c_2749]) ).
cnf(c_19757,plain,
mult(X0,mult(ld(X0,X1),ld(X2,X2))) = rd(mult(X0,ld(X0,mult(X1,X2))),X2),
inference(demodulation,[status(thm)],[c_2751,c_2244,c_2763,c_3647]) ).
cnf(c_19775,plain,
mult(X0,mult(ld(X0,rd(X1,X2)),ld(X2,X2))) = rd(mult(X0,ld(X0,mult(X1,ld(X2,X2)))),X2),
inference(superposition,[status(thm)],[c_2763,c_19757]) ).
cnf(c_19826,plain,
mult(X0,ld(X0,rd(X1,X2))) = rd(mult(X0,ld(X0,X1)),X2),
inference(light_normalisation,[status(thm)],[c_19775,c_3647,c_3857,c_8650]) ).
cnf(c_20101,plain,
mult(X0,ld(X0,rd(X0,X1))) = rd(X0,X1),
inference(superposition,[status(thm)],[c_83,c_19826]) ).
cnf(c_20302,plain,
mult(rd(X0,X1),ld(rd(X0,X1),X2)) = mult(X0,ld(X0,X2)),
inference(superposition,[status(thm)],[c_20101,c_15002]) ).
cnf(c_20321,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_2227,c_20302]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP682+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n026.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 : Tue Aug 29 00:54:05 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.18/0.44 Running first-order theorem proving
% 0.18/0.44 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.73/1.15 % SZS status Started for theBenchmark.p
% 3.73/1.15 ERROR - "ProverProcess:heur/469570:4.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel prover was killed by a signal: -10")
% 3.73/1.15 Fatal error: exception Failure("Clausification error: res/vclausify_rel prover was killed by a signal: -10")
% 3.73/1.15 ERROR - cmd was: ulimit -v 4096000; ./res/iproveropt_static_z3 --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 8 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 3.0 --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 8 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 2 --inst_learning_loop_flag false --inst_learning_start 2048 --inst_lit_activity_flag false --inst_lit_sel "[-split;+split;-split;+sign;+prop]" --inst_lit_sel_side num_lit --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[+horn;-min_def_symb];[-max_atom_input_occur;-age];[-epr;+horn;-num_var]]" --inst_passive_queues_freq "[1;3;8]" --inst_prop_sim_given true --inst_prop_sim_new true --inst_restr_to_given true --inst_sel_renew model --inst_solver_calls_frac 0.6281415715675588 --inst_solver_per_active 128 --inst_sos_flag true --inst_sos_phase true --inst_sos_sth_lit_sel "[-eq;-conj_symb;-sign;+num_var]" --inst_start_prop_sim_after_learn 2 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 2048 --prop_solver_per_cl 128 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300.00 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[ACNormalisation]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[]" --sup_input_fw "[DemodLightNormLoopTriv;ACNormalisation]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 640 --sup_share_score_frac 0.1 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.1 --proof_out true --sat_out_model small --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 4.00" --time_out_real 4.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_bcazvmo6/mh743gvq 2>> /export/starexec/sandbox/tmp/iprover_out_bcazvmo6/mh743gvq_error
% 9.99/2.18 % SZS status Theorem for theBenchmark.p
% 9.99/2.18
% 9.99/2.18 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 9.99/2.18
% 9.99/2.18 ------ iProver source info
% 9.99/2.18
% 9.99/2.18 git: date: 2023-05-31 18:12:56 +0000
% 9.99/2.18 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 9.99/2.18 git: non_committed_changes: false
% 9.99/2.18 git: last_make_outside_of_git: false
% 9.99/2.18
% 9.99/2.18 ------ Parsing...
% 9.99/2.18 ------ Clausification by vclausify_rel & Parsing by iProver...
% 9.99/2.18
% 9.99/2.18 ------ Preprocessing... sup_sim: 6 sf_s rm: 0 0s sf_e pe_s pe_e
% 9.99/2.18
% 9.99/2.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 9.99/2.18
% 9.99/2.18 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 9.99/2.18 ------ Proving...
% 9.99/2.18 ------ Problem Properties
% 9.99/2.18
% 9.99/2.18
% 9.99/2.18 clauses 8
% 9.99/2.18 conjectures 0
% 9.99/2.18 EPR 0
% 9.99/2.18 Horn 8
% 9.99/2.18 unary 7
% 9.99/2.18 binary 1
% 9.99/2.18 lits 9
% 9.99/2.18 lits eq 9
% 9.99/2.18 fd_pure 0
% 9.99/2.18 fd_pseudo 0
% 9.99/2.18 fd_cond 0
% 9.99/2.18 fd_pseudo_cond 0
% 9.99/2.18 AC symbols 0
% 9.99/2.18
% 9.99/2.18 ------ Schedule dynamic 5 is on
% 9.99/2.18
% 9.99/2.18 ------ no conjectures: strip conj schedule
% 9.99/2.18
% 9.99/2.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 9.99/2.18
% 9.99/2.18
% 9.99/2.18 ------
% 9.99/2.18 Current options:
% 9.99/2.18 ------
% 9.99/2.18
% 9.99/2.18
% 9.99/2.18
% 9.99/2.18
% 9.99/2.18 ------ Proving...
% 9.99/2.18
% 9.99/2.18
% 9.99/2.18 % SZS status Theorem for theBenchmark.p
% 9.99/2.18
% 9.99/2.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.99/2.18
% 9.99/2.19
%------------------------------------------------------------------------------