TSTP Solution File: GRP685+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP685+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.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 : Sun May 5 06:10:22 EDT 2024
% Result : Theorem 1.57s 0.57s
% Output : Refutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 9
% Syntax : Number of formulae : 105 ( 97 unt; 0 def)
% Number of atoms : 115 ( 114 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 29 ( 19 ~; 6 |; 3 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 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 : 216 ( 210 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10817,plain,
$false,
inference(trivial_inequality_removal,[],[f10816]) ).
fof(f10816,plain,
mult(sK0,ld(sK2,sK2)) != mult(sK0,ld(sK2,sK2)),
inference(superposition,[],[f3140,f6806]) ).
fof(f6806,plain,
! [X2,X0,X1] : mult(X2,ld(X1,X1)) = mult(X2,ld(ld(X0,X1),ld(X0,X1))),
inference(forward_demodulation,[],[f6805,f2333]) ).
fof(f2333,plain,
! [X2,X0,X1] : mult(X2,ld(X1,X1)) = mult(X2,ld(mult(X0,X1),mult(X0,X1))),
inference(forward_demodulation,[],[f2248,f311]) ).
fof(f311,plain,
! [X0] : ld(X0,X0) = ld(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f294,f50]) ).
fof(f50,plain,
! [X0] : ld(X0,X0) = mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X0)))),
inference(forward_demodulation,[],[f44,f49]) ).
fof(f49,plain,
! [X0] : rd(X0,X0) = ld(X0,X0),
inference(forward_demodulation,[],[f43,f33]) ).
fof(f33,plain,
! [X0] : ld(X0,X0) = mult(X0,ld(X0,ld(X0,X0))),
inference(superposition,[],[f22,f31]) ).
fof(f31,plain,
! [X0] : mult(X0,ld(X0,X0)) = X0,
inference(superposition,[],[f22,f20]) ).
fof(f20,plain,
! [X0] : ld(X0,mult(X0,X0)) = X0,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ld(X0,mult(X0,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f22,plain,
! [X0,X1] : mult(X1,ld(X1,X0)) = ld(X1,mult(X1,X0)),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] : mult(X1,ld(X1,X0)) = ld(X1,mult(X1,X0)),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] : mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f43,plain,
! [X0] : rd(X0,X0) = mult(X0,ld(X0,ld(X0,X0))),
inference(superposition,[],[f28,f37]) ).
fof(f37,plain,
! [X0] : rd(X0,X0) = mult(rd(rd(X0,X0),X0),X0),
inference(superposition,[],[f23,f35]) ).
fof(f35,plain,
! [X0] : mult(rd(X0,X0),X0) = X0,
inference(superposition,[],[f23,f21]) ).
fof(f21,plain,
! [X0] : rd(mult(X0,X0),X0) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : rd(mult(X0,X0),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f23,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = rd(mult(X1,X0),X0),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = rd(mult(X1,X0),X0),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] : mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f28,plain,
! [X0,X1] : mult(rd(rd(X1,X1),X0),X0) = mult(X1,ld(X1,ld(X0,X0))),
inference(forward_demodulation,[],[f27,f22]) ).
fof(f27,plain,
! [X0,X1] : ld(X1,mult(X1,ld(X0,X0))) = mult(rd(rd(X1,X1),X0),X0),
inference(forward_demodulation,[],[f24,f23]) ).
fof(f24,plain,
! [X0,X1] : ld(X1,mult(X1,ld(X0,X0))) = rd(mult(rd(X1,X1),X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] : ld(X1,mult(X1,ld(X0,X0))) = rd(mult(rd(X1,X1),X0),X0),
inference(rectify,[],[f7]) ).
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(f44,plain,
! [X0] : rd(X0,X0) = mult(X0,ld(X0,ld(rd(X0,X0),rd(X0,X0)))),
inference(superposition,[],[f28,f35]) ).
fof(f294,plain,
! [X0] : ld(ld(X0,X0),ld(X0,X0)) = mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X0)))),
inference(superposition,[],[f146,f33]) ).
fof(f146,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = mult(X0,ld(X0,mult(ld(X0,X0),X1))),
inference(superposition,[],[f123,f33]) ).
fof(f123,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X0,X1)),X2) = mult(X0,ld(X0,mult(X1,X2))),
inference(forward_demodulation,[],[f102,f22]) ).
fof(f102,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X0,X1)),X2) = ld(X0,mult(X0,mult(X1,X2))),
inference(superposition,[],[f29,f20]) ).
fof(f29,plain,
! [X2,X3,X0,X1] : ld(ld(X3,X2),mult(ld(X3,X2),mult(X1,X0))) = mult(mult(X3,ld(X3,X1)),X0),
inference(forward_demodulation,[],[f25,f22]) ).
fof(f25,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,[],[f14]) ).
fof(f14,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(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(f2248,plain,
! [X2,X0,X1] : mult(X2,ld(ld(X1,X1),ld(X1,X1))) = mult(X2,ld(mult(X0,X1),mult(X0,X1))),
inference(superposition,[],[f1194,f1040]) ).
fof(f1040,plain,
! [X0,X1] : mult(X0,X1) = rd(mult(X0,X1),ld(X1,X1)),
inference(forward_demodulation,[],[f1039,f773]) ).
fof(f773,plain,
! [X0] : rd(X0,ld(X0,X0)) = X0,
inference(forward_demodulation,[],[f738,f191]) ).
fof(f191,plain,
! [X0] : mult(X0,ld(ld(X0,X0),ld(X0,X0))) = X0,
inference(forward_demodulation,[],[f180,f31]) ).
fof(f180,plain,
! [X0] : mult(X0,ld(X0,X0)) = mult(X0,ld(ld(X0,X0),ld(X0,X0))),
inference(superposition,[],[f167,f50]) ).
fof(f167,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(X0,ld(X0,X1))),
inference(forward_demodulation,[],[f145,f22]) ).
fof(f145,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,ld(X0,mult(X0,X1))),
inference(superposition,[],[f123,f31]) ).
fof(f738,plain,
! [X0] : rd(X0,ld(X0,X0)) = mult(X0,ld(ld(X0,X0),ld(X0,X0))),
inference(superposition,[],[f650,f31]) ).
fof(f650,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(X0,ld(X1,X1)),
inference(forward_demodulation,[],[f649,f167]) ).
fof(f649,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(X0,mult(X0,ld(X0,ld(X1,X1)))),
inference(forward_demodulation,[],[f606,f55]) ).
fof(f55,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = mult(rd(ld(X0,X0),X1),X1),
inference(superposition,[],[f28,f49]) ).
fof(f606,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(X0,mult(rd(ld(X0,X0),X1),X1)),
inference(superposition,[],[f555,f31]) ).
fof(f555,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X2,X0),X0)) = rd(mult(mult(X1,X2),X0),X0),
inference(superposition,[],[f30,f21]) ).
fof(f30,plain,
! [X2,X3,X0,X1] : rd(mult(mult(X3,X2),rd(X1,X0)),rd(X1,X0)) = mult(X3,mult(rd(X2,X0),X0)),
inference(forward_demodulation,[],[f26,f23]) ).
fof(f26,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,[],[f15]) ).
fof(f15,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(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(f1039,plain,
! [X0,X1] : rd(mult(X0,X1),ld(X1,X1)) = mult(X0,rd(X1,ld(X1,X1))),
inference(forward_demodulation,[],[f1021,f34]) ).
fof(f34,plain,
! [X0] : rd(X0,ld(X0,X0)) = mult(rd(X0,ld(X0,X0)),ld(X0,X0)),
inference(superposition,[],[f23,f31]) ).
fof(f1021,plain,
! [X0,X1] : mult(X0,mult(rd(X1,ld(X1,X1)),ld(X1,X1))) = rd(mult(X0,X1),ld(X1,X1)),
inference(superposition,[],[f555,f855]) ).
fof(f855,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(X0,X1),ld(X1,X1)),
inference(forward_demodulation,[],[f854,f853]) ).
fof(f853,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(X0,ld(X1,X1)),X1),
inference(forward_demodulation,[],[f852,f31]) ).
fof(f852,plain,
! [X0,X1] : mult(mult(X0,ld(X1,X1)),X1) = mult(X0,mult(X1,ld(X1,X1))),
inference(forward_demodulation,[],[f819,f800]) ).
fof(f800,plain,
! [X2,X0,X1] : mult(mult(X0,X1),ld(X2,X2)) = mult(X0,mult(X1,ld(X2,X2))),
inference(forward_demodulation,[],[f767,f712]) ).
fof(f712,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(X0,ld(X1,X1)),
inference(forward_demodulation,[],[f711,f577]) ).
fof(f577,plain,
! [X2,X0] : mult(ld(X0,X0),mult(rd(X0,X2),X2)) = mult(X0,ld(X2,X2)),
inference(forward_demodulation,[],[f538,f563]) ).
fof(f563,plain,
! [X2,X0,X1] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,ld(X2,X2)),
inference(forward_demodulation,[],[f562,f167]) ).
fof(f562,plain,
! [X2,X0,X1] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(X0,ld(X0,ld(X2,X2)))),
inference(forward_demodulation,[],[f528,f55]) ).
fof(f528,plain,
! [X2,X0,X1] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(rd(ld(X0,X0),X2),X2)),
inference(superposition,[],[f30,f31]) ).
fof(f538,plain,
! [X2,X0,X1] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = mult(ld(X0,X0),mult(rd(X0,X2),X2)),
inference(superposition,[],[f30,f57]) ).
fof(f57,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(superposition,[],[f35,f49]) ).
fof(f711,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(ld(X0,X0),mult(rd(X0,X1),X1)),
inference(forward_demodulation,[],[f710,f236]) ).
fof(f236,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(rd(ld(ld(X0,X0),X0),X1),X1),
inference(forward_demodulation,[],[f220,f23]) ).
fof(f220,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(rd(ld(ld(X0,X0),X0),X1),X1),
inference(superposition,[],[f23,f172]) ).
fof(f172,plain,
! [X0,X1] : mult(X0,X1) = mult(ld(ld(X0,X0),X0),X1),
inference(forward_demodulation,[],[f171,f167]) ).
fof(f171,plain,
! [X0,X1] : mult(X0,mult(X0,ld(X0,X1))) = mult(ld(ld(X0,X0),X0),X1),
inference(forward_demodulation,[],[f170,f22]) ).
fof(f170,plain,
! [X0,X1] : mult(X0,ld(X0,mult(X0,X1))) = mult(ld(ld(X0,X0),X0),X1),
inference(forward_demodulation,[],[f150,f140]) ).
fof(f140,plain,
! [X2,X3,X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),mult(X2,X3))) = mult(X0,ld(X0,mult(X2,X3))),
inference(forward_demodulation,[],[f121,f123]) ).
fof(f121,plain,
! [X2,X3,X0,X1] : mult(mult(X0,ld(X0,X2)),X3) = mult(ld(X0,X1),ld(ld(X0,X1),mult(X2,X3))),
inference(superposition,[],[f29,f22]) ).
fof(f150,plain,
! [X0,X1] : mult(ld(X0,X0),ld(ld(X0,X0),mult(X0,X1))) = mult(ld(ld(X0,X0),X0),X1),
inference(superposition,[],[f123,f62]) ).
fof(f62,plain,
! [X0] : ld(ld(X0,X0),X0) = mult(ld(X0,X0),ld(ld(X0,X0),X0)),
inference(superposition,[],[f22,f57]) ).
fof(f710,plain,
! [X0,X1] : mult(rd(ld(ld(X0,X0),X0),X1),X1) = mult(ld(X0,X0),mult(rd(ld(ld(X0,X0),X0),X1),X1)),
inference(forward_demodulation,[],[f709,f49]) ).
fof(f709,plain,
! [X0,X1] : mult(rd(ld(rd(X0,X0),X0),X1),X1) = mult(rd(X0,X0),mult(rd(ld(rd(X0,X0),X0),X1),X1)),
inference(forward_demodulation,[],[f631,f23]) ).
fof(f631,plain,
! [X0,X1] : mult(rd(X0,X0),mult(rd(ld(rd(X0,X0),X0),X1),X1)) = rd(mult(ld(rd(X0,X0),X0),X1),X1),
inference(superposition,[],[f555,f38]) ).
fof(f38,plain,
! [X0] : ld(rd(X0,X0),X0) = mult(rd(X0,X0),ld(rd(X0,X0),X0)),
inference(superposition,[],[f22,f35]) ).
fof(f767,plain,
! [X2,X0,X1] : mult(mult(X0,X1),ld(X2,X2)) = mult(X0,mult(rd(X1,X2),X2)),
inference(superposition,[],[f650,f555]) ).
fof(f819,plain,
! [X0,X1] : mult(mult(X0,X1),ld(X1,X1)) = mult(mult(X0,ld(X1,X1)),X1),
inference(superposition,[],[f712,f650]) ).
fof(f854,plain,
! [X0,X1] : mult(mult(X0,X1),ld(X1,X1)) = mult(mult(X0,ld(X1,X1)),X1),
inference(forward_demodulation,[],[f820,f712]) ).
fof(f820,plain,
! [X0,X1] : mult(mult(X0,X1),ld(X1,X1)) = mult(mult(rd(X0,X1),X1),X1),
inference(superposition,[],[f712,f23]) ).
fof(f1194,plain,
! [X2,X3,X1] : mult(X3,ld(rd(X1,X2),rd(X1,X2))) = mult(X3,ld(X2,X2)),
inference(forward_demodulation,[],[f1159,f1156]) ).
fof(f1156,plain,
! [X2,X0,X1] : mult(X2,ld(X1,X1)) = rd(mult(X2,mult(X0,ld(X1,X1))),mult(X0,ld(X1,X1))),
inference(superposition,[],[f563,f650]) ).
fof(f1159,plain,
! [X2,X3,X0,X1] : mult(X3,ld(rd(X1,X2),rd(X1,X2))) = rd(mult(X3,mult(X0,ld(X2,X2))),mult(X0,ld(X2,X2))),
inference(superposition,[],[f563,f563]) ).
fof(f6805,plain,
! [X2,X0,X1] : mult(X2,ld(mult(X0,X1),mult(X0,X1))) = mult(X2,ld(ld(X0,X1),ld(X0,X1))),
inference(forward_demodulation,[],[f6804,f650]) ).
fof(f6804,plain,
! [X2,X0,X1] : rd(mult(X2,mult(X0,X1)),mult(X0,X1)) = mult(X2,ld(ld(X0,X1),ld(X0,X1))),
inference(forward_demodulation,[],[f6653,f2333]) ).
fof(f6653,plain,
! [X2,X0,X1] : rd(mult(X2,mult(X0,X1)),mult(X0,X1)) = mult(X2,ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,X1)))),
inference(superposition,[],[f1193,f167]) ).
fof(f1193,plain,
! [X2,X0,X1] : mult(X2,ld(X1,X1)) = rd(mult(X2,mult(X0,X1)),mult(X0,X1)),
inference(forward_demodulation,[],[f1158,f311]) ).
fof(f1158,plain,
! [X2,X0,X1] : mult(X2,ld(ld(X1,X1),ld(X1,X1))) = rd(mult(X2,mult(X0,X1)),mult(X0,X1)),
inference(superposition,[],[f563,f1040]) ).
fof(f3140,plain,
mult(sK0,ld(sK2,sK2)) != mult(sK0,ld(ld(sK1,sK2),ld(sK1,sK2))),
inference(superposition,[],[f3130,f650]) ).
fof(f3130,plain,
rd(mult(sK0,ld(sK1,sK2)),ld(sK1,sK2)) != mult(sK0,ld(sK2,sK2)),
inference(forward_demodulation,[],[f3129,f712]) ).
fof(f3129,plain,
rd(mult(sK0,ld(sK1,sK2)),ld(sK1,sK2)) != mult(rd(sK0,sK2),sK2),
inference(forward_demodulation,[],[f3128,f23]) ).
fof(f3128,plain,
rd(mult(sK0,sK2),sK2) != rd(mult(sK0,ld(sK1,sK2)),ld(sK1,sK2)),
inference(subsumption_resolution,[],[f3125,f650]) ).
fof(f3125,plain,
( rd(mult(sK0,sK2),sK2) != mult(sK0,ld(sK2,sK2))
| rd(mult(sK0,sK2),sK2) != rd(mult(sK0,ld(sK1,sK2)),ld(sK1,sK2)) ),
inference(superposition,[],[f19,f563]) ).
fof(f19,plain,
( rd(mult(sK0,sK2),sK2) != rd(mult(sK0,rd(sK1,sK2)),rd(sK1,sK2))
| rd(mult(sK0,sK2),sK2) != rd(mult(sK0,ld(sK1,sK2)),ld(sK1,sK2)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( rd(mult(sK0,sK2),sK2) != rd(mult(sK0,rd(sK1,sK2)),rd(sK1,sK2))
| rd(mult(sK0,sK2),sK2) != rd(mult(sK0,ld(sK1,sK2)),ld(sK1,sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f16,f17]) ).
fof(f17,plain,
( ? [X0,X1,X2] :
( rd(mult(X0,X2),X2) != rd(mult(X0,rd(X1,X2)),rd(X1,X2))
| rd(mult(X0,X2),X2) != rd(mult(X0,ld(X1,X2)),ld(X1,X2)) )
=> ( rd(mult(sK0,sK2),sK2) != rd(mult(sK0,rd(sK1,sK2)),rd(sK1,sK2))
| rd(mult(sK0,sK2),sK2) != rd(mult(sK0,ld(sK1,sK2)),ld(sK1,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0,X1,X2] :
( rd(mult(X0,X2),X2) != rd(mult(X0,rd(X1,X2)),rd(X1,X2))
| rd(mult(X0,X2),X2) != rd(mult(X0,ld(X1,X2)),ld(X1,X2)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
~ ! [X0,X1,X2] :
( rd(mult(X0,X2),X2) = rd(mult(X0,rd(X1,X2)),rd(X1,X2))
& rd(mult(X0,X2),X2) = rd(mult(X0,ld(X1,X2)),ld(X1,X2)) ),
inference(rectify,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X4,X5,X6] :
( rd(mult(X4,X6),X6) = rd(mult(X4,rd(X5,X6)),rd(X5,X6))
& rd(mult(X4,ld(X5,X6)),ld(X5,X6)) = rd(mult(X4,X6),X6) ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X4,X5,X6] :
( rd(mult(X4,X6),X6) = rd(mult(X4,rd(X5,X6)),rd(X5,X6))
& rd(mult(X4,ld(X5,X6)),ld(X5,X6)) = rd(mult(X4,X6),X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP685+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:50:23 EDT 2024
% 0.21/0.36 % CPUTime :
% 0.21/0.36 % (20887)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (20890)WARNING: value z3 for option sas not known
% 0.21/0.38 % (20888)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (20889)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (20891)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 % (20890)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.38 % (20892)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.38 % (20894)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.38 % (20893)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [3]
% 0.21/0.40 TRYING [3]
% 0.21/0.41 TRYING [4]
% 0.22/0.48 TRYING [4]
% 0.22/0.51 TRYING [5]
% 1.57/0.57 % (20894)First to succeed.
% 1.57/0.57 % (20894)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20887"
% 1.57/0.57 % (20894)Refutation found. Thanks to Tanya!
% 1.57/0.57 % SZS status Theorem for theBenchmark
% 1.57/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.57 % (20894)------------------------------
% 1.57/0.57 % (20894)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.57/0.57 % (20894)Termination reason: Refutation
% 1.57/0.57
% 1.57/0.57 % (20894)Memory used [KB]: 4037
% 1.57/0.57 % (20894)Time elapsed: 0.191 s
% 1.57/0.57 % (20894)Instructions burned: 511 (million)
% 1.57/0.57 % (20887)Success in time 0.198 s
%------------------------------------------------------------------------------