TSTP Solution File: GRP572-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP572-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 21:31:24 EDT 2024
% Result : Unsatisfiable 0.14s 0.34s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 5
% Syntax : Number of formulae : 64 ( 64 unt; 0 def)
% Number of atoms : 64 ( 63 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 112 ( 112 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2378,plain,
$false,
inference(trivial_inequality_removal,[],[f2377]) ).
fof(f2377,plain,
multiply(a,b) != multiply(a,b),
inference(superposition,[],[f5,f2277]) ).
fof(f2277,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[],[f2243,f490]) ).
fof(f490,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[],[f15,f489]) ).
fof(f489,plain,
! [X0] : multiply(identity,X0) = X0,
inference(backward_demodulation,[],[f8,f464]) ).
fof(f464,plain,
! [X0] : double_divide(inverse(X0),identity) = X0,
inference(backward_demodulation,[],[f196,f441]) ).
fof(f441,plain,
identity = inverse(identity),
inference(superposition,[],[f415,f13]) ).
fof(f13,plain,
! [X0] : inverse(identity) = multiply(inverse(X0),X0),
inference(forward_demodulation,[],[f9,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f9,plain,
! [X0] : double_divide(identity,identity) = multiply(inverse(X0),X0),
inference(superposition,[],[f2,f4]) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f415,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f364,f196]) ).
fof(f364,plain,
! [X1] : double_divide(inverse(multiply(inverse(identity),X1)),inverse(identity)) = X1,
inference(backward_demodulation,[],[f65,f361]) ).
fof(f361,plain,
! [X0,X1] : double_divide(X0,double_divide(inverse(X1),multiply(identity,X0))) = inverse(multiply(inverse(identity),X1)),
inference(forward_demodulation,[],[f355,f14]) ).
fof(f14,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(forward_demodulation,[],[f10,f3]) ).
fof(f10,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = double_divide(multiply(X1,X0),identity),
inference(superposition,[],[f2,f2]) ).
fof(f355,plain,
! [X0,X1] : double_divide(X0,double_divide(inverse(X1),multiply(identity,X0))) = multiply(identity,double_divide(X1,inverse(identity))),
inference(backward_demodulation,[],[f338,f354]) ).
fof(f354,plain,
! [X0] : multiply(identity,X0) = double_divide(double_divide(identity,X0),inverse(identity)),
inference(forward_demodulation,[],[f339,f196]) ).
fof(f339,plain,
! [X0] : multiply(identity,X0) = double_divide(double_divide(identity,double_divide(inverse(X0),inverse(identity))),inverse(identity)),
inference(superposition,[],[f52,f202]) ).
fof(f202,plain,
! [X0] : inverse(X0) = double_divide(multiply(identity,X0),inverse(identity)),
inference(superposition,[],[f196,f15]) ).
fof(f52,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,inverse(X0)),inverse(identity))),inverse(identity)) = X1,
inference(superposition,[],[f7,f3]) ).
fof(f7,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),inverse(X2))),inverse(identity)) = X1,
inference(forward_demodulation,[],[f6,f3]) ).
fof(f6,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(X2,identity))),inverse(identity)) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f338,plain,
! [X0,X1] : double_divide(X0,double_divide(inverse(X1),multiply(identity,X0))) = double_divide(double_divide(identity,double_divide(X1,inverse(identity))),inverse(identity)),
inference(superposition,[],[f52,f65]) ).
fof(f65,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(inverse(X1),multiply(identity,X0))),inverse(identity)) = X1,
inference(forward_demodulation,[],[f64,f3]) ).
fof(f64,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,identity),multiply(identity,X0))),inverse(identity)) = X1,
inference(forward_demodulation,[],[f53,f15]) ).
fof(f53,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,identity),inverse(inverse(X0)))),inverse(identity)) = X1,
inference(superposition,[],[f7,f4]) ).
fof(f196,plain,
! [X0] : double_divide(inverse(X0),inverse(identity)) = X0,
inference(forward_demodulation,[],[f189,f3]) ).
fof(f189,plain,
! [X0] : double_divide(double_divide(X0,identity),inverse(identity)) = X0,
inference(superposition,[],[f65,f21]) ).
fof(f21,plain,
! [X0] : identity = double_divide(inverse(X0),multiply(identity,X0)),
inference(superposition,[],[f4,f15]) ).
fof(f8,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(X0),identity),
inference(superposition,[],[f2,f3]) ).
fof(f15,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[],[f8,f3]) ).
fof(f2243,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f2002,f1092]) ).
fof(f1092,plain,
! [X0,X1] : multiply(inverse(X1),multiply(X0,X1)) = X0,
inference(superposition,[],[f790,f1043]) ).
fof(f1043,plain,
! [X0,X1] : inverse(X1) = double_divide(inverse(X0),multiply(X0,X1)),
inference(superposition,[],[f631,f490]) ).
fof(f631,plain,
! [X0,X1] : inverse(X1) = double_divide(X0,multiply(inverse(X0),X1)),
inference(forward_demodulation,[],[f630,f11]) ).
fof(f11,plain,
! [X0,X1] : multiply(X1,X0) = inverse(double_divide(X0,X1)),
inference(superposition,[],[f2,f3]) ).
fof(f630,plain,
! [X0,X1] : inverse(X1) = double_divide(X0,inverse(double_divide(X1,inverse(X0)))),
inference(forward_demodulation,[],[f482,f3]) ).
fof(f482,plain,
! [X0,X1] : inverse(X1) = double_divide(X0,double_divide(double_divide(X1,inverse(X0)),identity)),
inference(backward_demodulation,[],[f427,f441]) ).
fof(f427,plain,
! [X0,X1] : double_divide(X0,double_divide(double_divide(X1,inverse(X0)),inverse(identity))) = inverse(X1),
inference(backward_demodulation,[],[f365,f415]) ).
fof(f365,plain,
! [X0,X1] : double_divide(X0,double_divide(double_divide(X1,inverse(X0)),inverse(identity))) = inverse(multiply(inverse(identity),X1)),
inference(forward_demodulation,[],[f356,f14]) ).
fof(f356,plain,
! [X0,X1] : double_divide(X0,double_divide(double_divide(X1,inverse(X0)),inverse(identity))) = multiply(identity,double_divide(X1,inverse(identity))),
inference(backward_demodulation,[],[f337,f354]) ).
fof(f337,plain,
! [X0,X1] : double_divide(X0,double_divide(double_divide(X1,inverse(X0)),inverse(identity))) = double_divide(double_divide(identity,double_divide(X1,inverse(identity))),inverse(identity)),
inference(superposition,[],[f52,f52]) ).
fof(f790,plain,
! [X0,X1] : multiply(double_divide(inverse(X1),X0),X0) = X1,
inference(forward_demodulation,[],[f782,f490]) ).
fof(f782,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(double_divide(inverse(X1),X0),X0),
inference(superposition,[],[f11,f507]) ).
fof(f507,plain,
! [X0,X1] : inverse(X1) = double_divide(X0,double_divide(inverse(X1),X0)),
inference(backward_demodulation,[],[f423,f489]) ).
fof(f423,plain,
! [X0,X1] : inverse(X1) = double_divide(X0,double_divide(inverse(X1),multiply(identity,X0))),
inference(backward_demodulation,[],[f361,f415]) ).
fof(f2002,plain,
! [X0,X1] : multiply(inverse(X1),multiply(X1,X0)) = X0,
inference(superposition,[],[f790,f1878]) ).
fof(f1878,plain,
! [X0,X1] : inverse(X1) = double_divide(inverse(X0),multiply(X1,X0)),
inference(superposition,[],[f1697,f790]) ).
fof(f1697,plain,
! [X2,X0,X1] : inverse(X1) = double_divide(X0,multiply(X2,multiply(double_divide(X0,X2),X1))),
inference(backward_demodulation,[],[f428,f1666]) ).
fof(f1666,plain,
! [X2,X0,X1] : multiply(X2,multiply(X1,X0)) = double_divide(double_divide(X0,X1),inverse(X2)),
inference(superposition,[],[f1075,f11]) ).
fof(f1075,plain,
! [X0,X1] : double_divide(X1,inverse(X0)) = multiply(X0,inverse(X1)),
inference(forward_demodulation,[],[f1057,f522]) ).
fof(f522,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[],[f14,f489]) ).
fof(f1057,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(X0,inverse(X1)),
inference(superposition,[],[f844,f631]) ).
fof(f844,plain,
! [X0,X1] : inverse(X1) = multiply(X0,double_divide(X0,X1)),
inference(superposition,[],[f11,f797]) ).
fof(f797,plain,
! [X0,X1] : double_divide(double_divide(X1,X0),X1) = X0,
inference(superposition,[],[f773,f773]) ).
fof(f773,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,X1)) = X0,
inference(superposition,[],[f507,f490]) ).
fof(f428,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),inverse(X2))) = inverse(X1),
inference(backward_demodulation,[],[f370,f415]) ).
fof(f370,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),inverse(X2))) = inverse(multiply(inverse(identity),X1)),
inference(forward_demodulation,[],[f360,f14]) ).
fof(f360,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),inverse(X2))) = multiply(identity,double_divide(X1,inverse(identity))),
inference(backward_demodulation,[],[f336,f354]) ).
fof(f336,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),inverse(X2))) = double_divide(double_divide(identity,double_divide(X1,inverse(identity))),inverse(identity)),
inference(superposition,[],[f52,f7]) ).
fof(f5,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP572-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% 0.00/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.29 % Computer : n010.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Sun May 19 04:27:53 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % (25726)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.30 % (25729)WARNING: value z3 for option sas not known
% 0.09/0.30 % (25728)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.09/0.30 % (25731)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)
% 0.09/0.30 % (25729)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)
% 0.09/0.30 % (25732)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)
% 0.09/0.31 % (25727)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.09/0.31 TRYING [1]
% 0.09/0.31 TRYING [2]
% 0.14/0.31 TRYING [3]
% 0.14/0.31 % (25733)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)
% 0.14/0.32 TRYING [4]
% 0.14/0.32 % (25730)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.32 TRYING [1]
% 0.14/0.32 TRYING [2]
% 0.14/0.32 TRYING [3]
% 0.14/0.32 TRYING [4]
% 0.14/0.33 TRYING [5]
% 0.14/0.34 % (25732)First to succeed.
% 0.14/0.34 % (25732)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25726"
% 0.14/0.34 % (25732)Refutation found. Thanks to Tanya!
% 0.14/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.34 % (25732)------------------------------
% 0.14/0.34 % (25732)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.34 % (25732)Termination reason: Refutation
% 0.14/0.34
% 0.14/0.34 % (25732)Memory used [KB]: 1371
% 0.14/0.34 % (25732)Time elapsed: 0.036 s
% 0.14/0.34 % (25732)Instructions burned: 97 (million)
% 0.14/0.34 % (25726)Success in time 0.037 s
%------------------------------------------------------------------------------