TSTP Solution File: GRP468-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP468-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 21:30:54 EDT 2024
% Result : Unsatisfiable 2.74s 0.73s
% Output : Refutation 2.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 3
% Syntax : Number of formulae : 42 ( 42 unt; 0 def)
% Number of atoms : 42 ( 41 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 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 : 115 ( 115 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f34635,plain,
$false,
inference(trivial_inequality_removal,[],[f34586]) ).
fof(f34586,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f3,f3789]) ).
fof(f3789,plain,
! [X2,X0,X1] : multiply(X2,multiply(X1,X0)) = multiply(multiply(X2,X1),X0),
inference(forward_demodulation,[],[f3744,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3744,plain,
! [X2,X0,X1] : multiply(X2,multiply(X1,X0)) = multiply(divide(X2,inverse(X1)),X0),
inference(superposition,[],[f1780,f3628]) ).
fof(f3628,plain,
! [X0,X1] : inverse(X1) = divide(X0,multiply(X1,X0)),
inference(forward_demodulation,[],[f3596,f3603]) ).
fof(f3603,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f3556,f2441]) ).
fof(f2441,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
inference(superposition,[],[f1859,f2270]) ).
fof(f2270,plain,
! [X2,X1] : divide(X2,multiply(inverse(X1),X1)) = X2,
inference(superposition,[],[f1859,f6]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : divide(divide(X2,X2),divide(inverse(X1),multiply(divide(X3,multiply(X0,X1)),X0))) = X3,
inference(superposition,[],[f4,f2]) ).
fof(f4,plain,
! [X2,X3,X0,X1] : divide(divide(X0,X0),divide(X1,multiply(divide(X2,divide(X3,X1)),X3))) = X2,
inference(forward_demodulation,[],[f1,f2]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(divide(X0,X0),divide(X1,divide(divide(X2,divide(X3,X1)),inverse(X3)))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f1859,plain,
! [X2,X3,X0] : divide(divide(X3,X3),divide(X2,multiply(X0,X2))) = X0,
inference(superposition,[],[f4,f1780]) ).
fof(f3556,plain,
! [X0,X1] : inverse(divide(divide(X1,X1),X0)) = X0,
inference(superposition,[],[f2672,f3007]) ).
fof(f3007,plain,
! [X2,X0] : multiply(X2,divide(X0,X0)) = X2,
inference(forward_demodulation,[],[f2924,f2295]) ).
fof(f2295,plain,
! [X0,X1] : divide(X0,divide(X1,X1)) = X0,
inference(forward_demodulation,[],[f2250,f1859]) ).
fof(f2250,plain,
! [X2,X3,X0,X1] : divide(X0,divide(X1,X1)) = divide(divide(X3,X3),divide(X2,multiply(X0,X2))),
inference(superposition,[],[f1859,f1789]) ).
fof(f1789,plain,
! [X2,X0,X1] : multiply(X2,X0) = multiply(divide(X2,divide(X1,X1)),X0),
inference(superposition,[],[f1780,f42]) ).
fof(f42,plain,
! [X4,X5] : divide(X4,X4) = divide(X5,X5),
inference(superposition,[],[f8,f8]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X4] : divide(X0,X0) = divide(divide(X4,X4),divide(multiply(divide(X2,divide(X3,X1)),X3),multiply(X2,X1))),
inference(superposition,[],[f4,f4]) ).
fof(f2924,plain,
! [X2,X0,X1] : divide(X2,divide(X1,X1)) = multiply(X2,divide(X0,X0)),
inference(superposition,[],[f2,f2540]) ).
fof(f2540,plain,
! [X2,X1] : divide(X2,X2) = inverse(divide(X1,X1)),
inference(superposition,[],[f2441,f235]) ).
fof(f235,plain,
! [X2,X0,X1] : divide(X0,X0) = divide(divide(X2,X2),divide(X1,X1)),
inference(superposition,[],[f4,f174]) ).
fof(f174,plain,
! [X2,X0,X1] : divide(X2,X2) = divide(X1,multiply(divide(X0,X0),X1)),
inference(superposition,[],[f73,f42]) ).
fof(f73,plain,
! [X2,X3,X0,X1] : divide(X0,X1) = divide(divide(X3,X3),divide(X1,multiply(divide(X2,X2),X0))),
inference(superposition,[],[f4,f42]) ).
fof(f2672,plain,
! [X2,X1] : inverse(divide(X1,multiply(X2,X1))) = X2,
inference(forward_demodulation,[],[f2531,f1780]) ).
fof(f2531,plain,
! [X2,X3,X1] : inverse(divide(X1,multiply(divide(X2,divide(X3,X1)),X3))) = X2,
inference(superposition,[],[f2441,f4]) ).
fof(f3596,plain,
! [X0,X1] : divide(X0,multiply(X1,X0)) = inverse(inverse(inverse(X1))),
inference(superposition,[],[f2736,f2672]) ).
fof(f2736,plain,
! [X2] : inverse(inverse(inverse(inverse(X2)))) = X2,
inference(forward_demodulation,[],[f2735,f2295]) ).
fof(f2735,plain,
! [X2,X0] : divide(X2,divide(X0,X0)) = inverse(inverse(inverse(inverse(X2)))),
inference(forward_demodulation,[],[f2734,f2441]) ).
fof(f2734,plain,
! [X2,X3,X0] : divide(X2,divide(X0,X0)) = divide(divide(X3,X3),inverse(inverse(inverse(X2)))),
inference(forward_demodulation,[],[f2646,f2558]) ).
fof(f2558,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
inference(superposition,[],[f2441,f2]) ).
fof(f2646,plain,
! [X2,X3,X0,X1] : divide(X2,divide(X0,X0)) = divide(divide(X3,X3),inverse(multiply(divide(X1,X1),X2))),
inference(superposition,[],[f73,f2441]) ).
fof(f1780,plain,
! [X2,X0,X1] : multiply(divide(X0,divide(X1,X2)),X1) = multiply(X0,X2),
inference(forward_demodulation,[],[f1779,f2]) ).
fof(f1779,plain,
! [X2,X0,X1] : multiply(divide(X0,divide(X1,X2)),X1) = divide(X0,inverse(X2)),
inference(forward_demodulation,[],[f1771,f72]) ).
fof(f72,plain,
! [X2,X3,X0,X1] : divide(X0,X1) = divide(multiply(inverse(X3),X3),divide(X1,multiply(divide(X2,X2),X0))),
inference(superposition,[],[f5,f42]) ).
fof(f5,plain,
! [X2,X3,X0,X1] : divide(multiply(inverse(X0),X0),divide(X1,multiply(divide(X2,divide(X3,X1)),X3))) = X2,
inference(superposition,[],[f4,f2]) ).
fof(f1771,plain,
! [X2,X3,X0,X1,X4] : multiply(divide(X0,divide(X1,X2)),X1) = divide(multiply(inverse(X4),X4),divide(inverse(X2),multiply(divide(X3,X3),X0))),
inference(superposition,[],[f9,f1317]) ).
fof(f1317,plain,
! [X2,X3,X1,X4] : divide(X4,X4) = divide(multiply(divide(X2,divide(X3,X1)),X3),multiply(X2,X1)),
inference(superposition,[],[f171,f4]) ).
fof(f171,plain,
! [X2,X3,X1,X4] : divide(X4,X4) = divide(X3,multiply(divide(divide(X1,X1),divide(X2,X3)),X2)),
inference(superposition,[],[f73,f8]) ).
fof(f9,plain,
! [X2,X3,X0,X1] : divide(multiply(inverse(X2),X2),divide(inverse(X1),multiply(divide(X3,multiply(X0,X1)),X0))) = X3,
inference(superposition,[],[f5,f2]) ).
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
% 0.03/0.11 % Problem : GRP468-1 : TPTP v8.2.0. Released v2.6.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun May 19 04:58:07 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (19848)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.36 % (19851)WARNING: value z3 for option sas not known
% 0.19/0.36 % (19852)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.19/0.36 % (19850)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.19/0.36 % (19851)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)
% 0.19/0.36 % (19854)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)
% 0.19/0.36 TRYING [1]
% 0.19/0.36 TRYING [2]
% 0.19/0.36 TRYING [3]
% 0.19/0.37 % (19849)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.37 % (19853)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)
% 0.19/0.37 TRYING [1]
% 0.19/0.37 TRYING [4]
% 0.19/0.37 TRYING [2]
% 0.19/0.37 % (19855)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)
% 0.19/0.37 TRYING [3]
% 0.19/0.39 TRYING [4]
% 0.19/0.45 TRYING [5]
% 2.74/0.73 % (19855)First to succeed.
% 2.74/0.73 % (19855)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19848"
% 2.74/0.73 % (19855)Refutation found. Thanks to Tanya!
% 2.74/0.73 % SZS status Unsatisfiable for theBenchmark
% 2.74/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 2.74/0.73 % (19855)------------------------------
% 2.74/0.73 % (19855)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.74/0.73 % (19855)Termination reason: Refutation
% 2.74/0.73
% 2.74/0.73 % (19855)Memory used [KB]: 7961
% 2.74/0.73 % (19855)Time elapsed: 0.362 s
% 2.74/0.73 % (19855)Instructions burned: 1243 (million)
% 2.74/0.73 % (19848)Success in time 0.376 s
%------------------------------------------------------------------------------