TSTP Solution File: GRP604-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP604-1 : 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 : n027.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 21:31:31 EDT 2024
% Result : Unsatisfiable 0.21s 0.41s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 3
% Syntax : Number of formulae : 33 ( 33 unt; 0 def)
% Number of atoms : 33 ( 32 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 8 ( 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 : 85 ( 85 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1098,plain,
$false,
inference(trivial_inequality_removal,[],[f1097]) ).
fof(f1097,plain,
multiply(a,b) != multiply(a,b),
inference(superposition,[],[f3,f955]) ).
fof(f955,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[],[f954,f482]) ).
fof(f482,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(superposition,[],[f437,f19]) ).
fof(f19,plain,
! [X2,X0,X1] : multiply(double_divide(multiply(X2,X0),double_divide(X0,X1)),X2) = X1,
inference(superposition,[],[f12,f12]) ).
fof(f12,plain,
! [X2,X3,X1] : multiply(double_divide(X1,X2),multiply(X2,multiply(X3,X1))) = X3,
inference(superposition,[],[f6,f8]) ).
fof(f8,plain,
! [X2,X3,X0,X1] : multiply(multiply(double_divide(X2,double_divide(X0,X1)),X3),X2) = multiply(X1,multiply(X3,X0)),
inference(superposition,[],[f6,f6]) ).
fof(f6,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(double_divide(X0,X1),X2),X0)) = X2,
inference(superposition,[],[f5,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f5,plain,
! [X2,X0,X1] : inverse(double_divide(multiply(multiply(double_divide(X0,X2),X1),X0),X2)) = X1,
inference(forward_demodulation,[],[f4,f2]) ).
fof(f4,plain,
! [X2,X0,X1] : inverse(double_divide(multiply(inverse(double_divide(X1,double_divide(X0,X2))),X0),X2)) = X1,
inference(forward_demodulation,[],[f1,f2]) ).
fof(f1,axiom,
! [X2,X0,X1] : inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(X1,double_divide(X0,X2))))),X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f437,plain,
! [X2,X0,X1] : double_divide(X0,X1) = multiply(double_divide(multiply(X1,X0),X2),X2),
inference(superposition,[],[f403,f87]) ).
fof(f87,plain,
! [X2,X0,X1] : double_divide(X1,multiply(double_divide(multiply(X0,X1),X2),X0)) = X2,
inference(superposition,[],[f17,f15]) ).
fof(f15,plain,
! [X2,X3,X0,X1] : multiply(double_divide(multiply(multiply(double_divide(X1,X0),X2),X1),X3),multiply(X3,X2)) = X0,
inference(superposition,[],[f12,f6]) ).
fof(f17,plain,
! [X2,X3,X0,X1] : double_divide(X0,X1) = multiply(double_divide(multiply(X1,multiply(X2,X0)),X3),multiply(X3,X2)),
inference(superposition,[],[f12,f12]) ).
fof(f403,plain,
! [X2,X0,X1] : double_divide(X0,X2) = multiply(X1,double_divide(X0,multiply(X1,X2))),
inference(superposition,[],[f348,f196]) ).
fof(f196,plain,
! [X2,X0,X1] : multiply(double_divide(X0,double_divide(X0,multiply(X1,X2))),inverse(X1)) = X2,
inference(superposition,[],[f12,f138]) ).
fof(f138,plain,
! [X2,X0,X1] : inverse(X2) = multiply(double_divide(X1,multiply(X2,X0)),multiply(X0,X1)),
inference(superposition,[],[f2,f112]) ).
fof(f112,plain,
! [X2,X0,X1] : double_divide(multiply(X1,X2),double_divide(X2,multiply(X0,X1))) = X0,
inference(superposition,[],[f87,f17]) ).
fof(f348,plain,
! [X2,X0,X1] : multiply(X0,X2) = double_divide(X1,multiply(double_divide(X1,X2),inverse(X0))),
inference(superposition,[],[f87,f266]) ).
fof(f266,plain,
! [X2,X0,X1] : double_divide(X1,X2) = double_divide(multiply(inverse(X0),X1),multiply(X0,X2)),
inference(superposition,[],[f87,f196]) ).
fof(f954,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(double_divide(X2,double_divide(X2,X1)),X0),
inference(forward_demodulation,[],[f929,f570]) ).
fof(f570,plain,
! [X2] : inverse(inverse(X2)) = X2,
inference(forward_demodulation,[],[f554,f87]) ).
fof(f554,plain,
! [X2,X0,X1] : double_divide(X1,multiply(double_divide(multiply(X0,X1),X2),X0)) = inverse(inverse(X2)),
inference(superposition,[],[f483,f113]) ).
fof(f113,plain,
! [X2,X0,X1] : multiply(multiply(double_divide(multiply(X1,X0),X2),X1),X0) = inverse(X2),
inference(superposition,[],[f2,f87]) ).
fof(f483,plain,
! [X0,X1] : double_divide(X1,X0) = inverse(multiply(X0,X1)),
inference(superposition,[],[f437,f138]) ).
fof(f929,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(double_divide(X2,double_divide(X2,X1)),inverse(inverse(X0))),
inference(superposition,[],[f196,f699]) ).
fof(f699,plain,
! [X0,X1] : multiply(inverse(X1),multiply(X1,X0)) = X0,
inference(forward_demodulation,[],[f698,f482]) ).
fof(f698,plain,
! [X2,X0,X1] : multiply(double_divide(X2,double_divide(X2,inverse(X1))),multiply(X1,X0)) = X0,
inference(forward_demodulation,[],[f686,f2]) ).
fof(f686,plain,
! [X2,X0,X1] : multiply(double_divide(X2,double_divide(X2,inverse(X1))),inverse(double_divide(X0,X1))) = X0,
inference(superposition,[],[f196,f485]) ).
fof(f485,plain,
! [X0,X1] : inverse(X0) = multiply(double_divide(X1,X0),X1),
inference(superposition,[],[f113,f437]) ).
fof(f3,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP604-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% 0.14/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 06:00:37 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (8749)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.36 % (8752)WARNING: value z3 for option sas not known
% 0.21/0.37 % (8750)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (8751)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (8753)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (8754)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)
% 0.21/0.37 % (8755)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)
% 0.21/0.37 % (8756)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)
% 0.21/0.37 % (8752)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)
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.37 TRYING [3]
% 0.21/0.37 TRYING [3]
% 0.21/0.38 TRYING [4]
% 0.21/0.40 TRYING [4]
% 0.21/0.41 % (8752)First to succeed.
% 0.21/0.41 % (8752)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8749"
% 0.21/0.41 % (8752)Refutation found. Thanks to Tanya!
% 0.21/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.41 % (8752)------------------------------
% 0.21/0.41 % (8752)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.41 % (8752)Termination reason: Refutation
% 0.21/0.41
% 0.21/0.41 % (8752)Memory used [KB]: 1614
% 0.21/0.41 % (8752)Time elapsed: 0.042 s
% 0.21/0.41 % (8752)Instructions burned: 75 (million)
% 0.21/0.41 % (8749)Success in time 0.043 s
%------------------------------------------------------------------------------