TSTP Solution File: GRP659-10 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP659-10 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 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 : Mon May 20 21:32:16 EDT 2024
% Result : Unsatisfiable 1.46s 0.55s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 6
% Syntax : Number of formulae : 41 ( 41 unt; 0 def)
% Number of atoms : 41 ( 40 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 : 81 ( 81 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5649,plain,
$false,
inference(trivial_inequality_removal,[],[f5648]) ).
fof(f5648,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,[],[f5535,f4849]) ).
fof(f4849,plain,
! [X0,X1] : mult(X1,ld(X0,X0)) = X1,
inference(superposition,[],[f4774,f3]) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f4774,plain,
! [X0,X1] : mult(X1,ld(mult(X0,X1),mult(X0,X1))) = X1,
inference(forward_demodulation,[],[f4773,f294]) ).
fof(f294,plain,
! [X2,X0,X1] : mult(ld(X2,ld(X0,X1)),X2) = ld(mult(X0,X2),mult(X1,X2)),
inference(superposition,[],[f29,f1]) ).
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f29,plain,
! [X2,X0,X1] : mult(ld(X1,X2),X1) = ld(mult(X0,X1),mult(mult(X0,X2),X1)),
inference(superposition,[],[f2,f13]) ).
fof(f13,plain,
! [X2,X0,X1] : mult(mult(X2,X0),mult(ld(X0,X1),X0)) = mult(mult(X2,X1),X0),
inference(superposition,[],[f5,f1]) ).
fof(f5,axiom,
! [X2,X0,X1] : mult(mult(X0,mult(X1,X2)),X1) = mult(mult(X0,X1),mult(X2,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f4773,plain,
! [X0,X1] : mult(X1,mult(ld(X1,ld(X0,X0)),X1)) = X1,
inference(forward_demodulation,[],[f4669,f8]) ).
fof(f8,plain,
! [X0,X1] : rd(X1,ld(X0,X1)) = X0,
inference(superposition,[],[f4,f1]) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f4669,plain,
! [X0,X1] : mult(X1,mult(ld(X1,ld(X0,X0)),X1)) = rd(ld(X0,X0),ld(X1,ld(X0,X0))),
inference(superposition,[],[f3790,f1870]) ).
fof(f1870,plain,
! [X0] : ld(X0,X0) = mult(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f1869,f1671]) ).
fof(f1671,plain,
! [X0] : ld(X0,X0) = mult(X0,rd(ld(X0,X0),X0)),
inference(superposition,[],[f2,f1604]) ).
fof(f1604,plain,
! [X0] : mult(X0,mult(X0,rd(ld(X0,X0),X0))) = X0,
inference(forward_demodulation,[],[f1571,f4]) ).
fof(f1571,plain,
! [X0] : mult(X0,mult(X0,rd(ld(X0,X0),X0))) = rd(mult(X0,X0),X0),
inference(superposition,[],[f57,f1550]) ).
fof(f1550,plain,
! [X0] : mult(X0,X0) = mult(mult(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f1486,f1]) ).
fof(f1486,plain,
! [X0] : mult(mult(X0,X0),ld(X0,X0)) = mult(X0,mult(X0,ld(X0,X0))),
inference(superposition,[],[f20,f213]) ).
fof(f213,plain,
! [X0] : ld(ld(X0,X0),X0) = X0,
inference(superposition,[],[f2,f191]) ).
fof(f191,plain,
! [X1] : mult(ld(X1,X1),X1) = X1,
inference(forward_demodulation,[],[f163,f2]) ).
fof(f163,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = mult(ld(X1,X1),X1),
inference(superposition,[],[f2,f100]) ).
fof(f100,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(ld(X1,X1),X1)),
inference(superposition,[],[f21,f3]) ).
fof(f21,plain,
! [X2,X0,X1] : mult(mult(rd(X0,X1),X2),X1) = mult(X0,mult(ld(X1,X2),X1)),
inference(superposition,[],[f13,f3]) ).
fof(f20,plain,
! [X2,X0,X1] : mult(mult(X0,X2),ld(X0,X1)) = mult(X1,mult(ld(ld(X0,X1),X2),ld(X0,X1))),
inference(superposition,[],[f13,f1]) ).
fof(f57,plain,
! [X2,X0,X1] : mult(X2,mult(X1,rd(X0,X1))) = rd(mult(mult(X2,X1),X0),X1),
inference(superposition,[],[f18,f3]) ).
fof(f18,plain,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = rd(mult(mult(X0,X1),mult(X2,X1)),X1),
inference(superposition,[],[f4,f5]) ).
fof(f1869,plain,
! [X0] : mult(X0,rd(ld(X0,X0),X0)) = mult(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f1829,f1]) ).
fof(f1829,plain,
! [X0] : mult(mult(X0,ld(X0,X0)),rd(ld(X0,X0),X0)) = mult(ld(X0,X0),ld(X0,X0)),
inference(superposition,[],[f14,f1671]) ).
fof(f14,plain,
! [X2,X0,X1] : mult(mult(X2,rd(X0,X1)),mult(X1,rd(X0,X1))) = mult(mult(X2,X0),rd(X0,X1)),
inference(superposition,[],[f5,f3]) ).
fof(f3790,plain,
! [X0,X1] : mult(X0,mult(ld(X0,X1),X0)) = rd(mult(X1,X1),ld(X0,X1)),
inference(superposition,[],[f51,f1]) ).
fof(f51,plain,
! [X2,X0,X1] : mult(X0,mult(ld(X0,X1),X2)) = rd(mult(X1,mult(X2,ld(X0,X1))),ld(X0,X1)),
inference(superposition,[],[f18,f1]) ).
fof(f5535,plain,
! [X0] : tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))) != tuple(x1(ld(X0,X0)),mult(x1_2(ld(X0,X0)),ld(X0,X0))),
inference(superposition,[],[f6,f5102]) ).
fof(f5102,plain,
! [X0,X1] : mult(ld(X1,X1),X0) = X0,
inference(forward_demodulation,[],[f5101,f2]) ).
fof(f5101,plain,
! [X2,X0,X1] : mult(ld(X1,X1),X0) = ld(X2,mult(X2,X0)),
inference(forward_demodulation,[],[f4992,f3]) ).
fof(f4992,plain,
! [X2,X0,X1] : mult(ld(X1,X1),X0) = ld(mult(rd(X2,X0),X0),mult(X2,X0)),
inference(superposition,[],[f48,f4849]) ).
fof(f48,plain,
! [X2,X0,X1] : mult(X2,X1) = ld(mult(rd(X0,mult(X1,X2)),X1),mult(X0,X1)),
inference(superposition,[],[f2,f16]) ).
fof(f16,plain,
! [X2,X0,X1] : mult(X0,X1) = mult(mult(rd(X0,mult(X1,X2)),X1),mult(X2,X1)),
inference(superposition,[],[f5,f3]) ).
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
% 0.04/0.12 % Problem : GRP659-10 : TPTP v8.2.0. Released v8.1.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n026.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 05:14:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.36 % (25395)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (25398)WARNING: value z3 for option sas not known
% 0.20/0.37 % (25399)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37 % (25396)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37 % (25401)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)
% 0.20/0.37 % (25400)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)
% 0.20/0.37 % (25397)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37 % (25402)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)
% 0.20/0.37 % (25398)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)
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [2]
% 0.20/0.37 TRYING [3]
% 0.20/0.37 TRYING [1]
% 0.20/0.38 TRYING [2]
% 0.20/0.38 TRYING [4]
% 0.20/0.38 TRYING [3]
% 0.20/0.40 TRYING [5]
% 0.20/0.42 TRYING [4]
% 0.20/0.47 TRYING [6]
% 1.46/0.55 % (25398)First to succeed.
% 1.46/0.55 % (25398)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25395"
% 1.46/0.55 % (25398)Refutation found. Thanks to Tanya!
% 1.46/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.46/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.46/0.55 % (25398)------------------------------
% 1.46/0.55 % (25398)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.46/0.55 % (25398)Termination reason: Refutation
% 1.46/0.55
% 1.46/0.55 % (25398)Memory used [KB]: 4112
% 1.46/0.55 % (25398)Time elapsed: 0.179 s
% 1.46/0.55 % (25398)Instructions burned: 460 (million)
% 1.46/0.55 % (25395)Success in time 0.185 s
%------------------------------------------------------------------------------