TSTP Solution File: GRP595-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP595-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 06:09:33 EDT 2024
% Result : Unsatisfiable 2.26s 0.65s
% Output : Refutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 3
% Syntax : Number of formulae : 60 ( 60 unt; 0 def)
% Number of atoms : 60 ( 59 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 170 ( 170 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13225,plain,
$false,
inference(trivial_inequality_removal,[],[f13224]) ).
fof(f13224,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f546,f6972]) ).
fof(f6972,plain,
! [X3,X1,X4] : multiply(X1,multiply(X3,X4)) = multiply(X4,multiply(X1,X3)),
inference(forward_demodulation,[],[f6971,f322]) ).
fof(f322,plain,
! [X2,X3,X0,X1] : multiply(X2,X3) = double_divide(double_divide(X1,multiply(multiply(X2,X0),X3)),multiply(X0,X1)),
inference(forward_demodulation,[],[f311,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f311,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X1,multiply(multiply(X2,X0),X3)),multiply(X0,X1)) = inverse(double_divide(X3,X2)),
inference(superposition,[],[f257,f8]) ).
fof(f8,plain,
! [X2,X3,X0,X1] : double_divide(X2,X0) = multiply(multiply(X1,X3),double_divide(X3,multiply(multiply(X0,X1),X2))),
inference(superposition,[],[f6,f6]) ).
fof(f6,plain,
! [X2,X0,X1] : multiply(multiply(multiply(X1,X2),X0),double_divide(X0,X1)) = X2,
inference(superposition,[],[f5,f2]) ).
fof(f5,plain,
! [X2,X0,X1] : inverse(double_divide(double_divide(X0,X1),multiply(multiply(X1,X2),X0))) = X2,
inference(forward_demodulation,[],[f4,f2]) ).
fof(f4,plain,
! [X2,X0,X1] : inverse(double_divide(double_divide(X0,X1),multiply(inverse(double_divide(X2,X1)),X0))) = X2,
inference(forward_demodulation,[],[f1,f2]) ).
fof(f1,axiom,
! [X2,X0,X1] : inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(X2,X1)))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f257,plain,
! [X0,X1] : double_divide(X1,X0) = inverse(multiply(X0,X1)),
inference(superposition,[],[f224,f63]) ).
fof(f63,plain,
! [X2,X0,X1] : inverse(X1) = multiply(multiply(X2,X0),double_divide(multiply(X0,X1),X2)),
inference(superposition,[],[f2,f43]) ).
fof(f43,plain,
! [X2,X0,X1] : double_divide(double_divide(multiply(X0,X1),X2),multiply(X2,X0)) = X1,
inference(superposition,[],[f31,f8]) ).
fof(f31,plain,
! [X2,X0,X1] : double_divide(multiply(X0,double_divide(X1,multiply(X2,X0))),X2) = X1,
inference(superposition,[],[f8,f9]) ).
fof(f9,plain,
! [X2,X0,X1] : multiply(X1,double_divide(double_divide(X2,X0),multiply(X0,X1))) = X2,
inference(superposition,[],[f6,f6]) ).
fof(f224,plain,
! [X2,X0,X1] : double_divide(X0,X2) = multiply(X1,double_divide(X1,multiply(X2,X0))),
inference(superposition,[],[f201,f31]) ).
fof(f201,plain,
! [X2,X0,X1] : double_divide(X1,X2) = multiply(double_divide(multiply(X1,X0),X2),X0),
inference(superposition,[],[f159,f86]) ).
fof(f86,plain,
! [X3,X0,X1] : multiply(inverse(X3),double_divide(double_divide(multiply(X1,X3),X0),X0)) = X1,
inference(forward_demodulation,[],[f73,f42]) ).
fof(f42,plain,
! [X2,X3,X0,X1] : multiply(X0,double_divide(X1,multiply(multiply(X2,X3),X0))) = double_divide(multiply(X3,X1),X2),
inference(superposition,[],[f31,f31]) ).
fof(f73,plain,
! [X2,X3,X0,X1] : multiply(inverse(X3),double_divide(multiply(X2,double_divide(X3,multiply(multiply(X0,X1),X2))),X0)) = X1,
inference(superposition,[],[f6,f48]) ).
fof(f48,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,double_divide(X1,multiply(X2,X0)))) = inverse(X1),
inference(superposition,[],[f2,f31]) ).
fof(f159,plain,
! [X2,X0,X1] : multiply(X0,X1) = double_divide(multiply(inverse(X1),double_divide(X0,X2)),X2),
inference(superposition,[],[f31,f126]) ).
fof(f126,plain,
! [X2,X0,X1] : double_divide(X1,X2) = double_divide(multiply(X1,X0),multiply(X2,inverse(X0))),
inference(superposition,[],[f31,f86]) ).
fof(f6971,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,double_divide(double_divide(X0,multiply(multiply(X1,X2),X3)),multiply(X2,X0))) = multiply(X1,multiply(X3,X4)),
inference(forward_demodulation,[],[f6970,f2479]) ).
fof(f2479,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = double_divide(double_divide(X0,X2),inverse(X1)),
inference(forward_demodulation,[],[f2420,f2]) ).
fof(f2420,plain,
! [X2,X0,X1] : inverse(double_divide(multiply(X0,X1),X2)) = double_divide(double_divide(X0,X2),inverse(X1)),
inference(superposition,[],[f325,f201]) ).
fof(f325,plain,
! [X0,X1] : inverse(X1) = double_divide(multiply(X1,X0),inverse(X0)),
inference(forward_demodulation,[],[f315,f258]) ).
fof(f258,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X1) = X0,
inference(superposition,[],[f224,f9]) ).
fof(f315,plain,
! [X2,X0,X1] : inverse(X1) = double_divide(double_divide(double_divide(multiply(X1,X0),X2),X2),inverse(X0)),
inference(superposition,[],[f257,f86]) ).
fof(f6970,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,double_divide(double_divide(X0,multiply(multiply(X1,X2),X3)),multiply(X2,X0))) = double_divide(double_divide(X3,X1),inverse(X4)),
inference(forward_demodulation,[],[f6969,f1004]) ).
fof(f1004,plain,
! [X0,X1] : double_divide(X0,inverse(X1)) = multiply(X1,inverse(X0)),
inference(superposition,[],[f388,f430]) ).
fof(f430,plain,
! [X2,X1] : multiply(double_divide(X1,inverse(X2)),X1) = X2,
inference(forward_demodulation,[],[f401,f293]) ).
fof(f293,plain,
! [X2,X0,X1] : double_divide(X1,X2) = multiply(X0,double_divide(X1,multiply(X2,X0))),
inference(superposition,[],[f258,f31]) ).
fof(f401,plain,
! [X2,X0,X1] : multiply(multiply(X0,double_divide(X1,multiply(inverse(X2),X0))),X1) = X2,
inference(superposition,[],[f283,f31]) ).
fof(f283,plain,
! [X2,X3] : multiply(X3,double_divide(X3,inverse(X2))) = X2,
inference(forward_demodulation,[],[f246,f43]) ).
fof(f246,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(multiply(X1,X2),X0),multiply(X0,X1)) = multiply(X3,double_divide(X3,inverse(X2))),
inference(superposition,[],[f224,f63]) ).
fof(f388,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[],[f387,f2]) ).
fof(f387,plain,
! [X0,X1] : multiply(inverse(double_divide(X1,X0)),inverse(X1)) = X0,
inference(forward_demodulation,[],[f361,f258]) ).
fof(f361,plain,
! [X2,X0,X1] : multiply(inverse(double_divide(X1,X0)),double_divide(double_divide(inverse(X1),X2),X2)) = X0,
inference(superposition,[],[f86,f260]) ).
fof(f260,plain,
! [X0,X1] : inverse(X0) = multiply(X1,double_divide(X0,X1)),
inference(superposition,[],[f48,f224]) ).
fof(f6969,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,double_divide(double_divide(X0,multiply(multiply(X1,X2),X3)),multiply(X2,X0))) = multiply(X4,inverse(double_divide(X3,X1))),
inference(forward_demodulation,[],[f6412,f335]) ).
fof(f335,plain,
! [X2,X0,X1] : multiply(X1,inverse(X0)) = double_divide(multiply(X0,double_divide(X1,X2)),X2),
inference(superposition,[],[f159,f323]) ).
fof(f323,plain,
! [X2] : inverse(inverse(X2)) = X2,
inference(forward_demodulation,[],[f312,f43]) ).
fof(f312,plain,
! [X2,X0,X1] : double_divide(double_divide(multiply(X1,X2),X0),multiply(X0,X1)) = inverse(inverse(X2)),
inference(superposition,[],[f257,f63]) ).
fof(f6412,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X4,double_divide(double_divide(X0,multiply(multiply(X1,X2),X3)),multiply(X2,X0))) = double_divide(multiply(double_divide(X3,X1),double_divide(X4,X5)),X5),
inference(superposition,[],[f159,f11]) ).
fof(f11,plain,
! [X2,X3,X0,X1] : double_divide(X2,X0) = inverse(double_divide(double_divide(X3,multiply(multiply(X0,X1),X2)),multiply(X1,X3))),
inference(superposition,[],[f5,f6]) ).
fof(f546,plain,
multiply(a3,multiply(b3,c3)) != multiply(c3,multiply(a3,b3)),
inference(superposition,[],[f3,f464]) ).
fof(f464,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f9,f453]) ).
fof(f453,plain,
! [X2,X1] : double_divide(double_divide(X2,X1),X2) = X1,
inference(forward_demodulation,[],[f452,f323]) ).
fof(f452,plain,
! [X2,X1] : double_divide(double_divide(X2,inverse(inverse(X1))),X2) = X1,
inference(forward_demodulation,[],[f451,f445]) ).
fof(f445,plain,
! [X2,X0,X1] : double_divide(X2,inverse(X1)) = double_divide(double_divide(X1,multiply(inverse(X2),X0)),X0),
inference(forward_demodulation,[],[f444,f296]) ).
fof(f296,plain,
! [X2,X0,X1] : double_divide(X1,multiply(X2,X0)) = double_divide(multiply(X0,X1),X2),
inference(superposition,[],[f258,f43]) ).
fof(f444,plain,
! [X2,X0,X1] : double_divide(X2,inverse(X1)) = double_divide(double_divide(multiply(X0,X1),inverse(X2)),X0),
inference(forward_demodulation,[],[f426,f408]) ).
fof(f408,plain,
! [X2,X0,X1] : double_divide(X0,inverse(X1)) = multiply(multiply(X1,X2),double_divide(X2,X0)),
inference(superposition,[],[f6,f283]) ).
fof(f426,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(multiply(X0,X1),inverse(X2)),X0) = multiply(multiply(X1,X3),double_divide(X3,X2)),
inference(superposition,[],[f8,f283]) ).
fof(f451,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(inverse(X1),multiply(inverse(X2),X0)),X0),X2) = X1,
inference(forward_demodulation,[],[f429,f296]) ).
fof(f429,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(multiply(X0,inverse(X1)),inverse(X2)),X0),X2) = X1,
inference(superposition,[],[f156,f283]) ).
fof(f156,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X2),multiply(multiply(X2,inverse(X1)),X0)) = X1,
inference(superposition,[],[f43,f126]) ).
fof(f3,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : GRP595-1 : TPTP v8.1.2. Released v2.6.0.
% 0.08/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n017.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 20:41:22 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % (14650)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (14653)WARNING: value z3 for option sas not known
% 0.15/0.32 % (14654)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.32 % (14652)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.32 % (14655)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)
% 0.15/0.32 % (14651)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.32 % (14656)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)
% 0.15/0.32 % (14657)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)
% 0.15/0.32 % (14653)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)
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [4]
% 0.15/0.35 TRYING [4]
% 0.15/0.39 TRYING [5]
% 2.26/0.65 % (14657)First to succeed.
% 2.26/0.65 % (14657)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14650"
% 2.26/0.65 % (14657)Refutation found. Thanks to Tanya!
% 2.26/0.65 % SZS status Unsatisfiable for theBenchmark
% 2.26/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.26/0.65 % (14657)------------------------------
% 2.26/0.65 % (14657)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.26/0.65 % (14657)Termination reason: Refutation
% 2.26/0.65
% 2.26/0.65 % (14657)Memory used [KB]: 4943
% 2.26/0.65 % (14657)Time elapsed: 0.323 s
% 2.26/0.65 % (14657)Instructions burned: 669 (million)
% 2.26/0.65 % (14650)Success in time 0.319 s
%------------------------------------------------------------------------------