TSTP Solution File: GRP591-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP591-1 : 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 : n014.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 12:07:40 EDT 2024
% Result : Unsatisfiable 1.65s 0.56s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 3
% Syntax : Number of formulae : 57 ( 57 unt; 0 def)
% Number of atoms : 57 ( 56 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 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 : 138 ( 138 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7626,plain,
$false,
inference(trivial_inequality_removal,[],[f7591]) ).
fof(f7591,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f3,f3333]) ).
fof(f3333,plain,
! [X3,X0,X1] : multiply(multiply(X0,X1),X3) = multiply(X0,multiply(X1,X3)),
inference(forward_demodulation,[],[f3332,f730]) ).
fof(f730,plain,
! [X2,X0,X1] : multiply(X0,X1) = double_divide(double_divide(X0,multiply(X2,X1)),X2),
inference(superposition,[],[f336,f595]) ).
fof(f595,plain,
! [X2,X0,X1] : double_divide(X0,multiply(X1,X2)) = double_divide(multiply(X0,X2),X1),
inference(superposition,[],[f519,f336]) ).
fof(f519,plain,
! [X2,X3,X0] : double_divide(multiply(double_divide(X3,multiply(X2,X0)),X0),X2) = X3,
inference(forward_demodulation,[],[f408,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f408,plain,
! [X2,X3,X0] : double_divide(multiply(double_divide(X3,inverse(double_divide(X0,X2))),X0),X2) = X3,
inference(backward_demodulation,[],[f337,f355]) ).
fof(f355,plain,
! [X0,X1] : multiply(inverse(X1),X0) = double_divide(X1,inverse(X0)),
inference(backward_demodulation,[],[f229,f330]) ).
fof(f330,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X0),X1),double_divide(X1,X2)) = double_divide(X0,X2),
inference(backward_demodulation,[],[f158,f328]) ).
fof(f328,plain,
! [X2,X1] : multiply(multiply(inverse(X1),X1),X2) = X2,
inference(forward_demodulation,[],[f315,f2]) ).
fof(f315,plain,
! [X2,X1] : multiply(inverse(double_divide(X1,inverse(X1))),X2) = X2,
inference(superposition,[],[f189,f260]) ).
fof(f260,plain,
! [X0,X1] : multiply(inverse(X0),X0) = double_divide(X1,inverse(X1)),
inference(superposition,[],[f54,f189]) ).
fof(f54,plain,
! [X2,X1] : double_divide(multiply(inverse(X2),X1),inverse(X1)) = X2,
inference(backward_demodulation,[],[f52,f53]) ).
fof(f53,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(X1),multiply(inverse(X0),X0)),
inference(superposition,[],[f2,f40]) ).
fof(f40,plain,
! [X0,X1] : double_divide(multiply(inverse(X1),X1),inverse(X0)) = X0,
inference(superposition,[],[f7,f8]) ).
fof(f8,plain,
! [X2,X0,X1] : inverse(X0) = multiply(X2,multiply(multiply(inverse(X0),X1),double_divide(X1,X2))),
inference(superposition,[],[f2,f5]) ).
fof(f5,plain,
! [X2,X0,X1] : double_divide(multiply(multiply(inverse(X2),X0),double_divide(X0,X1)),X1) = X2,
inference(forward_demodulation,[],[f4,f2]) ).
fof(f4,plain,
! [X2,X0,X1] : double_divide(multiply(inverse(double_divide(X0,inverse(X2))),double_divide(X0,X1)),X1) = X2,
inference(forward_demodulation,[],[f1,f2]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(X2))))),X1) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f7,plain,
! [X2,X3,X0,X1] : double_divide(multiply(multiply(inverse(X3),multiply(multiply(inverse(X0),X1),double_divide(X1,X2))),X0),X2) = X3,
inference(superposition,[],[f5,f5]) ).
fof(f52,plain,
! [X2,X0,X1] : double_divide(multiply(multiply(inverse(X2),multiply(inverse(X0),X0)),X1),inverse(X1)) = X2,
inference(superposition,[],[f5,f40]) ).
fof(f189,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X0),X0)),X1) = X1,
inference(superposition,[],[f110,f74]) ).
fof(f74,plain,
! [X0,X1] : double_divide(inverse(multiply(inverse(X0),X0)),inverse(X1)) = X1,
inference(superposition,[],[f40,f53]) ).
fof(f110,plain,
! [X0,X1] : double_divide(inverse(X1),inverse(multiply(inverse(X1),X0))) = X0,
inference(superposition,[],[f54,f55]) ).
fof(f55,plain,
! [X2,X1] : inverse(X2) = multiply(inverse(X1),multiply(inverse(X2),X1)),
inference(backward_demodulation,[],[f51,f53]) ).
fof(f51,plain,
! [X2,X0,X1] : inverse(X2) = multiply(inverse(X1),multiply(multiply(inverse(X2),multiply(inverse(X0),X0)),X1)),
inference(superposition,[],[f8,f40]) ).
fof(f158,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(X0),X1),double_divide(X1,X2)) = double_divide(multiply(multiply(inverse(X3),X3),X0),X2),
inference(superposition,[],[f7,f130]) ).
fof(f130,plain,
! [X0,X1] : multiply(inverse(X1),X1) = multiply(inverse(X0),X0),
inference(superposition,[],[f74,f70]) ).
fof(f70,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(multiply(inverse(X1),X1))) = X0,
inference(superposition,[],[f54,f53]) ).
fof(f229,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X1),X2),double_divide(X2,inverse(X0))) = multiply(inverse(X1),X0),
inference(backward_demodulation,[],[f182,f186]) ).
fof(f186,plain,
! [X0,X1] : multiply(inverse(X1),X0) = double_divide(inverse(X0),inverse(inverse(X1))),
inference(superposition,[],[f110,f55]) ).
fof(f182,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X1),X2),double_divide(X2,inverse(X0))) = double_divide(inverse(X0),inverse(inverse(X1))),
inference(superposition,[],[f110,f8]) ).
fof(f337,plain,
! [X2,X3,X0] : double_divide(multiply(multiply(inverse(X3),double_divide(X0,X2)),X0),X2) = X3,
inference(backward_demodulation,[],[f7,f330]) ).
fof(f336,plain,
! [X2,X1] : double_divide(double_divide(X2,X1),X1) = X2,
inference(backward_demodulation,[],[f5,f330]) ).
fof(f3332,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,X1),X3) = double_divide(double_divide(X0,multiply(X2,multiply(X1,X3))),X2),
inference(forward_demodulation,[],[f3255,f746]) ).
fof(f746,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X2,X1)),
inference(forward_demodulation,[],[f732,f676]) ).
fof(f676,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X0,X1)),
inference(superposition,[],[f650,f336]) ).
fof(f650,plain,
! [X2,X1] : inverse(X1) = multiply(double_divide(X1,X2),X2),
inference(backward_demodulation,[],[f420,f648]) ).
fof(f648,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f645,f466]) ).
fof(f466,plain,
! [X0,X1] : multiply(double_divide(X0,inverse(X0)),X1) = X1,
inference(forward_demodulation,[],[f465,f355]) ).
fof(f465,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(forward_demodulation,[],[f377,f2]) ).
fof(f377,plain,
! [X0,X1] : multiply(inverse(double_divide(X0,inverse(X0))),X1) = X1,
inference(backward_demodulation,[],[f189,f355]) ).
fof(f645,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(double_divide(X1,inverse(X1)),X0),
inference(superposition,[],[f333,f436]) ).
fof(f436,plain,
! [X0,X1] : double_divide(inverse(X0),double_divide(X1,inverse(X1))) = X0,
inference(forward_demodulation,[],[f435,f355]) ).
fof(f435,plain,
! [X0,X1] : double_divide(inverse(X0),multiply(inverse(X1),X1)) = X0,
inference(forward_demodulation,[],[f364,f2]) ).
fof(f364,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(double_divide(X1,inverse(X1)))) = X0,
inference(backward_demodulation,[],[f70,f355]) ).
fof(f333,plain,
! [X2,X0] : inverse(X0) = multiply(X2,double_divide(X0,X2)),
inference(backward_demodulation,[],[f155,f328]) ).
fof(f155,plain,
! [X2,X0,X1] : inverse(X0) = multiply(X2,multiply(multiply(inverse(X1),X1),double_divide(X0,X2))),
inference(superposition,[],[f8,f130]) ).
fof(f420,plain,
! [X2,X1] : inverse(X1) = multiply(double_divide(X1,inverse(inverse(X2))),X2),
inference(backward_demodulation,[],[f279,f355]) ).
fof(f279,plain,
! [X2,X1] : inverse(X1) = multiply(multiply(inverse(X1),inverse(X2)),X2),
inference(forward_demodulation,[],[f278,f53]) ).
fof(f278,plain,
! [X2,X0,X1] : inverse(X1) = multiply(multiply(inverse(X1),multiply(inverse(X2),multiply(inverse(X0),X0))),X2),
inference(forward_demodulation,[],[f251,f229]) ).
fof(f251,plain,
! [X2,X3,X0,X1] : inverse(X1) = multiply(multiply(inverse(X1),multiply(multiply(inverse(X2),X3),double_divide(X3,inverse(multiply(inverse(X0),X0))))),X2),
inference(superposition,[],[f189,f11]) ).
fof(f11,plain,
! [X2,X3,X0,X1] : inverse(X3) = multiply(X2,multiply(multiply(inverse(X3),multiply(multiply(inverse(X0),X1),double_divide(X1,X2))),X0)),
inference(superposition,[],[f8,f5]) ).
fof(f732,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = inverse(double_divide(X0,multiply(X2,X1))),
inference(superposition,[],[f676,f595]) ).
fof(f3255,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,X1),X3) = double_divide(double_divide(X0,multiply(multiply(X2,X3),X1)),X2),
inference(superposition,[],[f730,f595]) ).
fof(f3,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP591-1 : TPTP v8.1.2. Released v2.6.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n014.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Apr 30 04:24:34 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (22657)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35 % (22660)WARNING: value z3 for option sas not known
% 0.11/0.35 % (22659)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.35 % (22662)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)
% 0.11/0.35 % (22661)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.35 % (22658)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.35 % (22663)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)
% 0.11/0.35 % (22664)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)
% 0.11/0.35 % (22660)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)
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [3]
% 0.11/0.35 TRYING [3]
% 0.11/0.36 TRYING [4]
% 0.18/0.38 TRYING [4]
% 0.18/0.39 TRYING [5]
% 1.65/0.56 % (22663)First to succeed.
% 1.65/0.56 % (22663)Refutation found. Thanks to Tanya!
% 1.65/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.65/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.65/0.56 % (22663)------------------------------
% 1.65/0.56 % (22663)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.65/0.56 % (22663)Termination reason: Refutation
% 1.65/0.56
% 1.65/0.56 % (22663)Memory used [KB]: 3194
% 1.65/0.56 % (22663)Time elapsed: 0.214 s
% 1.65/0.56 % (22663)Instructions burned: 434 (million)
% 1.65/0.56 % (22663)------------------------------
% 1.65/0.56 % (22663)------------------------------
% 1.65/0.56 % (22657)Success in time 0.223 s
%------------------------------------------------------------------------------