TSTP Solution File: GRP683+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP683+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 01:01:23 EDT 2023
% Result : Theorem 9.78s 2.12s
% Output : CNFRefutation 9.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 9
% Syntax : Number of formulae : 133 ( 123 unt; 0 def)
% Number of atoms : 145 ( 144 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 20 ~; 8 |; 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 : 295 ( 0 sgn; 55 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ld(X0,mult(X0,X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0] : rd(mult(X0,X0),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X1,X0] : mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X1,X0] : mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',f07) ).
fof(f8,conjecture,
! [X4,X5,X6] :
( mult(X4,X6) = mult(rd(mult(X4,X5),X5),X6)
& mult(X4,ld(X5,mult(X5,X6))) = mult(X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f9,negated_conjecture,
~ ! [X4,X5,X6] :
( mult(X4,X6) = mult(rd(mult(X4,X5),X5),X6)
& mult(X4,ld(X5,mult(X5,X6))) = 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] :
( mult(X0,X2) = mult(rd(mult(X0,X1),X1),X2)
& mult(X0,X2) = mult(X0,ld(X1,mult(X1,X2))) ),
inference(rectify,[],[f9]) ).
fof(f16,plain,
? [X0,X1,X2] :
( mult(X0,X2) != mult(rd(mult(X0,X1),X1),X2)
| mult(X0,X2) != mult(X0,ld(X1,mult(X1,X2))) ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( ? [X0,X1,X2] :
( mult(X0,X2) != mult(rd(mult(X0,X1),X1),X2)
| mult(X0,X2) != mult(X0,ld(X1,mult(X1,X2))) )
=> ( mult(sK0,sK2) != mult(rd(mult(sK0,sK1),sK1),sK2)
| mult(sK0,sK2) != mult(sK0,ld(sK1,mult(sK1,sK2))) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( mult(sK0,sK2) != mult(rd(mult(sK0,sK1),sK1),sK2)
| mult(sK0,sK2) != mult(sK0,ld(sK1,mult(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,
( mult(sK0,sK2) != mult(rd(mult(sK0,sK1),sK1),sK2)
| mult(sK0,sK2) != mult(sK0,ld(sK1,mult(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,
( mult(rd(mult(sK0,sK1),sK1),sK2) != mult(sK0,sK2)
| mult(sK0,ld(sK1,mult(sK1,sK2))) != 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(mult(rd(sK0,sK1),sK1),sK2) != mult(sK0,sK2)
| mult(sK0,mult(sK1,ld(sK1,sK2))) != mult(sK0,sK2) ),
inference(demodulation,[status(thm)],[c_56,c_51,c_52]) ).
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_344,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_351,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_344]) ).
cnf(c_355,plain,
mult(rd(X0,rd(X1,X0)),rd(X1,X0)) = mult(X0,ld(X0,X0)),
inference(superposition,[status(thm)],[c_156,c_344]) ).
cnf(c_368,plain,
mult(rd(X0,rd(X1,X0)),rd(X1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_355,c_83]) ).
cnf(c_369,plain,
mult(X0,mult(X0,ld(X0,ld(X0,X0)))) = rd(X0,ld(X0,X0)),
inference(demodulation,[status(thm)],[c_160,c_351]) ).
cnf(c_370,plain,
rd(X0,ld(X0,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_369,c_83,c_156]) ).
cnf(c_417,plain,
mult(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))) = mult(rd(mult(X0,X1),X2),X2),
inference(superposition,[status(thm)],[c_370,c_85]) ).
cnf(c_627,plain,
mult(rd(X0,rd(X1,rd(X2,X0))),rd(X1,rd(X2,X0))) = mult(ld(X0,X0),X0),
inference(superposition,[status(thm)],[c_368,c_186]) ).
cnf(c_652,plain,
mult(rd(X0,rd(X1,rd(X2,X0))),rd(X1,rd(X2,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_627,c_168]) ).
cnf(c_855,plain,
mult(ld(X0,X1),ld(ld(X0,X1),X0)) = X0,
inference(superposition,[status(thm)],[c_83,c_220]) ).
cnf(c_882,plain,
ld(ld(X0,X0),X0) = X0,
inference(demodulation,[status(thm)],[c_171,c_855]) ).
cnf(c_953,plain,
mult(mult(ld(X0,X0),ld(ld(X0,X0),X1)),ld(X1,X1)) = mult(X0,ld(X0,X1)),
inference(superposition,[status(thm)],[c_882,c_220]) ).
cnf(c_971,plain,
mult(ld(ld(X0,X1),X2),ld(ld(ld(X0,X1),X2),X0)) = mult(X0,ld(X0,X0)),
inference(superposition,[status(thm)],[c_855,c_220]) ).
cnf(c_984,plain,
mult(ld(ld(X0,X1),X2),ld(ld(ld(X0,X1),X2),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_971,c_83]) ).
cnf(c_1028,plain,
mult(rd(ld(X0,X0),rd(X1,X0)),rd(X1,X0)) = ld(X0,X0),
inference(superposition,[status(thm)],[c_370,c_652]) ).
cnf(c_1326,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_984]) ).
cnf(c_1327,plain,
mult(ld(X0,X1),ld(ld(X0,X1),ld(X0,X0))) = ld(X0,X0),
inference(superposition,[status(thm)],[c_882,c_984]) ).
cnf(c_1412,plain,
mult(X0,ld(X0,ld(rd(X1,X0),rd(X1,X0)))) = ld(X0,X0),
inference(demodulation,[status(thm)],[c_1028,c_175]) ).
cnf(c_1419,plain,
mult(ld(X0,X0),ld(ld(X0,X0),ld(X0,X0))) = ld(ld(X0,X0),ld(X0,X0)),
inference(superposition,[status(thm)],[c_370,c_1412]) ).
cnf(c_1842,plain,
mult(mult(X0,ld(X0,ld(X0,X0))),ld(ld(X0,X0),ld(X0,X0))) = ld(X0,X0),
inference(superposition,[status(thm)],[c_1327,c_220]) ).
cnf(c_1844,plain,
ld(ld(X0,X0),ld(X0,X0)) = ld(X0,X0),
inference(light_normalisation,[status(thm)],[c_1842,c_156,c_1419]) ).
cnf(c_1912,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_1844,c_220]) ).
cnf(c_1913,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_1844,c_191]) ).
cnf(c_1923,plain,
mult(rd(mult(X0,X1),X2),X2) = mult(X0,mult(rd(X1,X2),X2)),
inference(light_normalisation,[status(thm)],[c_1913,c_191,c_417]) ).
cnf(c_1924,plain,
mult(ld(X0,X0),ld(ld(X0,X0),X1)) = mult(X0,ld(X0,X1)),
inference(light_normalisation,[status(thm)],[c_1912,c_953]) ).
cnf(c_1977,plain,
mult(mult(rd(X0,X1),X1),X1) = mult(X0,mult(rd(X1,X1),X1)),
inference(superposition,[status(thm)],[c_52,c_1923]) ).
cnf(c_1981,plain,
mult(X0,mult(rd(ld(X0,X0),X1),X1)) = mult(rd(X0,X1),X1),
inference(superposition,[status(thm)],[c_83,c_1923]) ).
cnf(c_2024,plain,
mult(X0,mult(X0,ld(X0,ld(X1,X1)))) = mult(rd(X0,X1),X1),
inference(light_normalisation,[status(thm)],[c_1981,c_175]) ).
cnf(c_2252,plain,
mult(mult(X0,ld(X0,X1)),X2) = mult(X0,ld(X0,mult(X1,X2))),
inference(superposition,[status(thm)],[c_1924,c_86]) ).
cnf(c_2256,plain,
mult(mult(X0,ld(X0,ld(X1,X1))),X1) = mult(X0,ld(X0,X1)),
inference(superposition,[status(thm)],[c_1924,c_224]) ).
cnf(c_2277,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_2252]) ).
cnf(c_2346,plain,
mult(mult(rd(X0,X1),X1),X1) = mult(X0,X1),
inference(demodulation,[status(thm)],[c_1977,c_167,c_168]) ).
cnf(c_2348,plain,
mult(mult(X0,ld(X0,ld(X1,X1))),X1) = mult(ld(X0,X0),X1),
inference(superposition,[status(thm)],[c_175,c_2346]) ).
cnf(c_2349,plain,
mult(mult(X0,mult(rd(X1,X2),X2)),X2) = mult(mult(X0,X1),X2),
inference(superposition,[status(thm)],[c_1923,c_2346]) ).
cnf(c_2362,plain,
mult(ld(X0,X0),X1) = mult(X0,ld(X0,X1)),
inference(light_normalisation,[status(thm)],[c_2348,c_2256]) ).
cnf(c_2368,plain,
mult(X0,ld(X0,ld(ld(X0,X0),X1))) = mult(X0,ld(X0,X1)),
inference(demodulation,[status(thm)],[c_1924,c_2362]) ).
cnf(c_2923,plain,
mult(X0,ld(X0,mult(X0,X1))) = mult(X0,X1),
inference(superposition,[status(thm)],[c_83,c_2252]) ).
cnf(c_2924,plain,
mult(X0,ld(X0,mult(ld(X0,X0),X1))) = mult(ld(X0,X0),X1),
inference(superposition,[status(thm)],[c_156,c_2252]) ).
cnf(c_2952,plain,
mult(X0,mult(X0,ld(X0,X1))) = mult(X0,X1),
inference(light_normalisation,[status(thm)],[c_2923,c_51]) ).
cnf(c_2953,plain,
mult(X0,ld(X0,mult(X0,ld(X0,X1)))) = mult(X0,ld(X0,X1)),
inference(light_normalisation,[status(thm)],[c_2924,c_2362]) ).
cnf(c_2966,plain,
mult(rd(X0,X1),X1) = mult(X0,ld(X1,X1)),
inference(demodulation,[status(thm)],[c_2024,c_2952]) ).
cnf(c_2968,plain,
mult(mult(X0,ld(X1,X1)),X1) = mult(X0,X1),
inference(demodulation,[status(thm)],[c_2346,c_2966]) ).
cnf(c_2969,plain,
mult(X0,ld(X1,X1)) = rd(mult(X0,X1),X1),
inference(demodulation,[status(thm)],[c_52,c_2966]) ).
cnf(c_2972,plain,
mult(rd(mult(X0,X1),X2),X2) = mult(X0,mult(X1,ld(X2,X2))),
inference(demodulation,[status(thm)],[c_1923,c_2966]) ).
cnf(c_2975,plain,
( mult(mult(sK0,ld(sK1,sK1)),sK2) != mult(sK0,sK2)
| mult(sK0,mult(sK1,ld(sK1,sK2))) != mult(sK0,sK2) ),
inference(demodulation,[status(thm)],[c_87,c_2966]) ).
cnf(c_3177,plain,
mult(mult(X0,ld(X1,X1)),X1) = mult(mult(X0,X1),ld(X1,X1)),
inference(superposition,[status(thm)],[c_2969,c_2966]) ).
cnf(c_3178,plain,
mult(mult(X0,X1),ld(X1,X1)) = mult(X0,X1),
inference(light_normalisation,[status(thm)],[c_3177,c_2968]) ).
cnf(c_3297,plain,
mult(mult(X0,X1),ld(mult(X0,X1),ld(X1,X1))) = ld(mult(X0,X1),mult(X0,X1)),
inference(superposition,[status(thm)],[c_3178,c_51]) ).
cnf(c_3314,plain,
mult(mult(X0,mult(X1,ld(X2,X2))),X2) = mult(mult(X0,X1),X2),
inference(demodulation,[status(thm)],[c_2349,c_2966]) ).
cnf(c_3322,plain,
mult(mult(X0,mult(X1,ld(X1,ld(X2,X2)))),X2) = mult(mult(X0,ld(X1,X1)),X2),
inference(superposition,[status(thm)],[c_2362,c_3314]) ).
cnf(c_4073,plain,
mult(mult(X0,X1),ld(X2,X2)) = mult(X0,mult(X1,ld(X2,X2))),
inference(demodulation,[status(thm)],[c_2972,c_2966]) ).
cnf(c_4110,plain,
mult(X0,mult(ld(X0,X1),ld(X2,X2))) = mult(X0,ld(X0,mult(X1,ld(X2,X2)))),
inference(superposition,[status(thm)],[c_4073,c_2252]) ).
cnf(c_4986,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_1326]) ).
cnf(c_5002,plain,
mult(ld(mult(X0,X1),X2),ld(ld(mult(X0,X1),X2),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_4986,c_2952]) ).
cnf(c_5038,plain,
mult(ld(X0,X1),ld(ld(X0,X1),ld(X0,X2))) = ld(X0,X2),
inference(superposition,[status(thm)],[c_855,c_5002]) ).
cnf(c_5615,plain,
mult(X0,ld(X0,ld(ld(X0,X0),X1))) = ld(ld(X0,X0),X1),
inference(superposition,[status(thm)],[c_882,c_5038]) ).
cnf(c_5633,plain,
mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X1)))) = ld(X0,X1),
inference(superposition,[status(thm)],[c_5038,c_2362]) ).
cnf(c_5634,plain,
mult(X0,ld(X0,X1)) = ld(ld(X0,X0),X1),
inference(light_normalisation,[status(thm)],[c_5615,c_2368]) ).
cnf(c_6080,plain,
mult(X0,ld(X0,ld(X0,X1))) = ld(X0,X1),
inference(demodulation,[status(thm)],[c_5633,c_51,c_2952,c_5634]) ).
cnf(c_6094,plain,
mult(X0,ld(X0,mult(ld(X0,X1),X2))) = mult(ld(X0,X1),X2),
inference(superposition,[status(thm)],[c_6080,c_2252]) ).
cnf(c_6616,plain,
mult(mult(X0,X1),ld(mult(X0,X1),X0)) = X0,
inference(superposition,[status(thm)],[c_5002,c_6094]) ).
cnf(c_6749,plain,
mult(mult(X0,X1),ld(mult(X0,X1),mult(X0,X2))) = mult(X0,X2),
inference(superposition,[status(thm)],[c_6616,c_2252]) ).
cnf(c_7276,plain,
mult(X0,ld(X0,mult(mult(X0,X1),X2))) = mult(mult(X0,X1),X2),
inference(superposition,[status(thm)],[c_6616,c_6749]) ).
cnf(c_7456,plain,
mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(X0,mult(ld(X0,X2),ld(X2,X2))),
inference(demodulation,[status(thm)],[c_2277,c_4110]) ).
cnf(c_7505,plain,
mult(X0,mult(ld(X0,X1),ld(X1,X1))) = mult(X0,ld(X0,ld(ld(X0,X0),X1))),
inference(superposition,[status(thm)],[c_7456,c_2362]) ).
cnf(c_7524,plain,
mult(X0,mult(ld(X0,X1),ld(X1,X1))) = mult(X0,ld(X0,X1)),
inference(light_normalisation,[status(thm)],[c_7505,c_2953,c_5634]) ).
cnf(c_7533,plain,
mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(X0,ld(X0,X2)),
inference(demodulation,[status(thm)],[c_7456,c_7524]) ).
cnf(c_8846,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_7533]) ).
cnf(c_11637,plain,
mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),X2)))) = mult(X0,ld(X0,X2)),
inference(demodulation,[status(thm)],[c_8846,c_2252]) ).
cnf(c_11712,plain,
mult(mult(X0,X1),ld(mult(X0,ld(X0,mult(X0,X1))),X2)) = mult(X0,ld(X0,X2)),
inference(superposition,[status(thm)],[c_11637,c_7276]) ).
cnf(c_11716,plain,
mult(mult(X0,X1),ld(mult(X0,X1),X2)) = mult(X0,ld(X0,X2)),
inference(light_normalisation,[status(thm)],[c_11712,c_51,c_2952]) ).
cnf(c_11751,plain,
mult(X0,ld(X0,ld(X1,X1))) = ld(mult(X0,X1),mult(X0,X1)),
inference(demodulation,[status(thm)],[c_3297,c_11716]) ).
cnf(c_12529,plain,
mult(mult(X0,ld(X0,ld(X1,X1))),X2) = mult(mult(X0,X1),ld(mult(X0,X1),X2)),
inference(superposition,[status(thm)],[c_11751,c_2362]) ).
cnf(c_12558,plain,
mult(mult(X0,ld(X0,ld(X1,X1))),X2) = mult(X0,ld(X0,X2)),
inference(light_normalisation,[status(thm)],[c_12529,c_11716]) ).
cnf(c_13326,plain,
mult(X0,ld(X0,mult(X1,ld(X1,X2)))) = mult(X0,ld(X0,X2)),
inference(demodulation,[status(thm)],[c_12558,c_2252,c_2362]) ).
cnf(c_13361,plain,
mult(X0,mult(X0,ld(X0,X1))) = mult(X0,mult(X2,ld(X2,X1))),
inference(superposition,[status(thm)],[c_13326,c_2952]) ).
cnf(c_13397,plain,
mult(X0,mult(X1,ld(X1,X2))) = mult(X0,X2),
inference(light_normalisation,[status(thm)],[c_13361,c_2952]) ).
cnf(c_13419,plain,
mult(mult(sK0,ld(sK1,sK1)),sK2) != mult(sK0,sK2),
inference(backward_subsumption_resolution,[status(thm)],[c_2975,c_13397]) ).
cnf(c_21275,plain,
mult(mult(X0,ld(X1,X1)),X2) = mult(X0,X2),
inference(demodulation,[status(thm)],[c_3322,c_2968,c_13397]) ).
cnf(c_21282,plain,
mult(sK0,sK2) != mult(sK0,sK2),
inference(demodulation,[status(thm)],[c_13419,c_21275]) ).
cnf(c_21283,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_21282]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP683+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 20:37:20 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.45 Running first-order theorem proving
% 0.19/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 9.78/2.12 % SZS status Started for theBenchmark.p
% 9.78/2.12 % SZS status Theorem for theBenchmark.p
% 9.78/2.12
% 9.78/2.12 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 9.78/2.12
% 9.78/2.12 ------ iProver source info
% 9.78/2.12
% 9.78/2.12 git: date: 2023-05-31 18:12:56 +0000
% 9.78/2.12 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 9.78/2.12 git: non_committed_changes: false
% 9.78/2.12 git: last_make_outside_of_git: false
% 9.78/2.12
% 9.78/2.12 ------ Parsing...
% 9.78/2.12 ------ Clausification by vclausify_rel & Parsing by iProver...
% 9.78/2.12
% 9.78/2.12 ------ Preprocessing... sup_sim: 6 sf_s rm: 0 0s sf_e pe_s pe_e
% 9.78/2.12
% 9.78/2.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 9.78/2.12
% 9.78/2.12 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 9.78/2.12 ------ Proving...
% 9.78/2.12 ------ Problem Properties
% 9.78/2.12
% 9.78/2.12
% 9.78/2.12 clauses 8
% 9.78/2.12 conjectures 0
% 9.78/2.12 EPR 0
% 9.78/2.12 Horn 8
% 9.78/2.12 unary 7
% 9.78/2.12 binary 1
% 9.78/2.12 lits 9
% 9.78/2.12 lits eq 9
% 9.78/2.12 fd_pure 0
% 9.78/2.12 fd_pseudo 0
% 9.78/2.12 fd_cond 0
% 9.78/2.12 fd_pseudo_cond 0
% 9.78/2.12 AC symbols 0
% 9.78/2.12
% 9.78/2.12 ------ Schedule dynamic 5 is on
% 9.78/2.12
% 9.78/2.12 ------ no conjectures: strip conj schedule
% 9.78/2.12
% 9.78/2.12 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 9.78/2.12
% 9.78/2.12
% 9.78/2.12 ------
% 9.78/2.12 Current options:
% 9.78/2.12 ------
% 9.78/2.12
% 9.78/2.12
% 9.78/2.12
% 9.78/2.12
% 9.78/2.12 ------ Proving...
% 9.78/2.12
% 9.78/2.12
% 9.78/2.12 % SZS status Theorem for theBenchmark.p
% 9.78/2.12
% 9.78/2.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.78/2.13
% 9.78/2.13
%------------------------------------------------------------------------------