TSTP Solution File: GRP656-10 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP656-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 : Tue Apr 30 12:08:26 EDT 2024
% Result : Unsatisfiable 0.22s 0.40s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 18 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 0 con; 1-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f313,plain,
$false,
inference(trivial_inequality_removal,[],[f312]) ).
fof(f312,plain,
! [X0] : tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))) != tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))),
inference(forward_demodulation,[],[f280,f171]) ).
fof(f171,plain,
! [X0,X1] : mult(ld(X1,X1),X0) = X0,
inference(superposition,[],[f31,f2]) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f31,plain,
! [X2,X0,X1] : mult(ld(X1,X2),X0) = ld(mult(X0,X1),mult(mult(X0,X2),X0)),
inference(superposition,[],[f2,f13]) ).
fof(f13,plain,
! [X2,X0,X1] : mult(mult(X2,X0),mult(ld(X0,X1),X2)) = mult(mult(X2,X1),X2),
inference(superposition,[],[f5,f1]) ).
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f5,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),mult(X2,X0)) = mult(mult(X0,mult(X1,X2)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f280,plain,
! [X0] : tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))) != tuple(mult(ld(X0,X0),x1(ld(X0,X0))),x1_2(ld(X0,X0))),
inference(superposition,[],[f6,f233]) ).
fof(f233,plain,
! [X2,X0] : mult(X2,ld(X0,X0)) = X2,
inference(forward_demodulation,[],[f232,f4]) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f232,plain,
! [X2,X0,X1] : mult(X2,ld(X0,X0)) = rd(mult(X2,mult(X1,X2)),mult(X1,X2)),
inference(forward_demodulation,[],[f225,f224]) ).
fof(f224,plain,
! [X0,X1] : mult(mult(X0,X1),X0) = mult(X0,mult(X1,X0)),
inference(superposition,[],[f21,f183]) ).
fof(f183,plain,
! [X0,X1] : ld(ld(X0,X0),X1) = X1,
inference(superposition,[],[f171,f1]) ).
fof(f21,plain,
! [X2,X0,X1] : mult(mult(X0,X2),X0) = mult(X1,mult(ld(ld(X0,X1),X2),X0)),
inference(superposition,[],[f13,f1]) ).
fof(f225,plain,
! [X2,X0,X1] : mult(X2,ld(X0,X0)) = rd(mult(mult(X2,X1),X2),mult(X1,X2)),
inference(superposition,[],[f30,f183]) ).
fof(f30,plain,
! [X2,X0,X1] : mult(X0,X1) = rd(mult(mult(X0,X2),X0),mult(ld(X1,X2),X0)),
inference(superposition,[],[f4,f13]) ).
fof(f6,axiom,
! [X3] : tuple(mult(X3,x1(X3)),mult(x1_2(X3),X3)) != tuple(x1(X3),x1_2(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP656-10 : TPTP v8.1.2. Released v8.1.0.
% 0.14/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % 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 : Tue Apr 30 04:49:32 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.22/0.37 % (18798)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (18803)WARNING: value z3 for option sas not known
% 0.22/0.38 % (18801)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (18804)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (18802)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38 % (18805)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)
% 0.22/0.38 % (18806)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)
% 0.22/0.38 % (18803)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)
% 0.22/0.39 % (18807)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)
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [4]
% 0.22/0.39 TRYING [3]
% 0.22/0.40 % (18807)First to succeed.
% 0.22/0.40 % (18807)Refutation found. Thanks to Tanya!
% 0.22/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.40 % (18807)------------------------------
% 0.22/0.40 % (18807)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.40 % (18807)Termination reason: Refutation
% 0.22/0.40
% 0.22/0.40 % (18807)Memory used [KB]: 935
% 0.22/0.40 % (18807)Time elapsed: 0.014 s
% 0.22/0.40 % (18807)Instructions burned: 19 (million)
% 0.22/0.40 % (18807)------------------------------
% 0.22/0.40 % (18807)------------------------------
% 0.22/0.40 % (18798)Success in time 0.029 s
%------------------------------------------------------------------------------