TSTP Solution File: GRP592-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP592-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n029.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 0.16s 0.36s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 3
% Syntax : Number of formulae : 31 ( 31 unt; 0 def)
% Number of atoms : 31 ( 30 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 : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 63 ( 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1156,plain,
$false,
inference(trivial_inequality_removal,[],[f1155]) ).
fof(f1155,plain,
multiply(a,b) != multiply(a,b),
inference(superposition,[],[f3,f1047]) ).
fof(f1047,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[],[f1031,f319]) ).
fof(f319,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f289,f152]) ).
fof(f152,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X0),X0)),X1) = X1,
inference(superposition,[],[f93,f60]) ).
fof(f60,plain,
! [X0,X1] : double_divide(inverse(multiply(inverse(X0),X0)),inverse(X1)) = X1,
inference(superposition,[],[f40,f53]) ).
fof(f53,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(X1),multiply(inverse(X0),X0)),
inference(superposition,[],[f2,f40]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
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/sandbox/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(f93,plain,
! [X0,X1] : double_divide(inverse(X1),inverse(multiply(inverse(X1),X0))) = X0,
inference(superposition,[],[f75,f74]) ).
fof(f74,plain,
! [X2,X1] : inverse(X2) = multiply(inverse(X1),multiply(inverse(X2),X1)),
inference(forward_demodulation,[],[f70,f56]) ).
fof(f56,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(X1),inverse(multiply(inverse(X0),X0))),
inference(superposition,[],[f53,f53]) ).
fof(f70,plain,
! [X2,X0,X1] : inverse(X2) = multiply(inverse(X1),multiply(multiply(inverse(X2),inverse(multiply(inverse(X0),X0))),X1)),
inference(superposition,[],[f8,f60]) ).
fof(f75,plain,
! [X2,X1] : double_divide(multiply(inverse(X2),X1),inverse(X1)) = X2,
inference(forward_demodulation,[],[f71,f56]) ).
fof(f71,plain,
! [X2,X0,X1] : double_divide(multiply(multiply(inverse(X2),inverse(multiply(inverse(X0),X0))),X1),inverse(X1)) = X2,
inference(superposition,[],[f5,f60]) ).
fof(f289,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(inverse(multiply(inverse(X1),X1)),X0),
inference(superposition,[],[f245,f79]) ).
fof(f79,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(multiply(inverse(X1),X1))) = X0,
inference(superposition,[],[f75,f53]) ).
fof(f245,plain,
! [X0,X1] : inverse(X0) = multiply(X1,double_divide(X0,X1)),
inference(superposition,[],[f8,f230]) ).
fof(f230,plain,
! [X2,X1] : multiply(multiply(inverse(X1),X1),X2) = X2,
inference(forward_demodulation,[],[f215,f2]) ).
fof(f215,plain,
! [X2,X1] : multiply(inverse(double_divide(X1,inverse(X1))),X2) = X2,
inference(superposition,[],[f152,f173]) ).
fof(f173,plain,
! [X0,X1] : multiply(inverse(X0),X0) = double_divide(X1,inverse(X1)),
inference(superposition,[],[f75,f152]) ).
fof(f1031,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f367,f725]) ).
fof(f725,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[],[f706,f2]) ).
fof(f706,plain,
! [X0,X1] : multiply(inverse(double_divide(X1,X0)),inverse(X1)) = X0,
inference(superposition,[],[f367,f245]) ).
fof(f367,plain,
! [X0,X1] : multiply(inverse(X1),multiply(X0,X1)) = X0,
inference(superposition,[],[f74,f319]) ).
fof(f3,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : GRP592-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.08/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n029.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 20:53:37 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.31 % (10560)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (10563)WARNING: value z3 for option sas not known
% 0.16/0.33 % (10565)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)
% 0.16/0.33 % (10564)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33 % (10562)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33 % (10561)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33 % (10567)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)
% 0.16/0.33 % (10566)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)
% 0.16/0.33 % (10563)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)
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [3]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [3]
% 0.16/0.33 TRYING [4]
% 0.16/0.35 % (10567)First to succeed.
% 0.16/0.35 TRYING [4]
% 0.16/0.35 % (10567)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10560"
% 0.16/0.36 % (10567)Refutation found. Thanks to Tanya!
% 0.16/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.36 % (10567)------------------------------
% 0.16/0.36 % (10567)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.36 % (10567)Termination reason: Refutation
% 0.16/0.36
% 0.16/0.36 % (10567)Memory used [KB]: 1298
% 0.16/0.36 % (10567)Time elapsed: 0.028 s
% 0.16/0.36 % (10567)Instructions burned: 54 (million)
% 0.16/0.36 % (10560)Success in time 0.042 s
%------------------------------------------------------------------------------