TSTP Solution File: GRP462-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP462-1 : 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 : n032.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 06:09:00 EDT 2024
% Result : Unsatisfiable 0.10s 0.36s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 4
% Syntax : Number of formulae : 43 ( 43 unt; 0 def)
% Number of atoms : 43 ( 42 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 : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 90 ( 90 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2058,plain,
$false,
inference(trivial_inequality_removal,[],[f2040]) ).
fof(f2040,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f5,f1778]) ).
fof(f1778,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[],[f426,f1664]) ).
fof(f1664,plain,
! [X2,X0,X1] : multiply(X0,X1) = divide(multiply(X0,multiply(X1,X2)),X2),
inference(superposition,[],[f1430,f416]) ).
fof(f416,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(forward_demodulation,[],[f415,f162]) ).
fof(f162,plain,
! [X0] : multiply(identity,X0) = X0,
inference(superposition,[],[f106,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f106,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
inference(superposition,[],[f67,f66]) ).
fof(f66,plain,
! [X0] : multiply(X0,identity) = X0,
inference(backward_demodulation,[],[f7,f51]) ).
fof(f51,plain,
! [X0] : divide(X0,identity) = X0,
inference(superposition,[],[f6,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f6,plain,
! [X2,X0,X1] : divide(X0,divide(divide(divide(identity,X1),X2),divide(divide(identity,X0),X2))) = X1,
inference(forward_demodulation,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(divide(identity,X1),X2),divide(divide(divide(X0,X0),X0),X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f7,plain,
! [X0] : multiply(X0,identity) = divide(X0,identity),
inference(superposition,[],[f2,f4]) ).
fof(f67,plain,
! [X0,X1] : divide(X0,multiply(divide(identity,X1),X0)) = X1,
inference(backward_demodulation,[],[f63,f51]) ).
fof(f63,plain,
! [X0,X1] : divide(X0,divide(multiply(divide(identity,X1),X0),identity)) = X1,
inference(forward_demodulation,[],[f48,f2]) ).
fof(f48,plain,
! [X0,X1] : divide(X0,divide(divide(divide(identity,X1),divide(identity,X0)),identity)) = X1,
inference(superposition,[],[f6,f4]) ).
fof(f415,plain,
! [X0,X1] : divide(multiply(multiply(identity,X0),X1),X1) = X0,
inference(forward_demodulation,[],[f397,f2]) ).
fof(f397,plain,
! [X0,X1] : divide(multiply(divide(identity,divide(identity,X0)),X1),X1) = X0,
inference(superposition,[],[f67,f259]) ).
fof(f259,plain,
! [X0,X1] : multiply(X0,multiply(divide(identity,X0),X1)) = X1,
inference(superposition,[],[f57,f2]) ).
fof(f57,plain,
! [X0,X1] : divide(X1,divide(identity,multiply(divide(identity,X1),X0))) = X0,
inference(forward_demodulation,[],[f42,f2]) ).
fof(f42,plain,
! [X0,X1] : divide(X1,divide(identity,divide(divide(identity,X1),divide(identity,X0)))) = X0,
inference(superposition,[],[f6,f4]) ).
fof(f1430,plain,
! [X2,X0,X1] : divide(multiply(divide(X1,X2),multiply(X2,X0)),X0) = X1,
inference(forward_demodulation,[],[f1429,f162]) ).
fof(f1429,plain,
! [X2,X0,X1] : multiply(identity,X1) = divide(multiply(divide(X1,X2),multiply(X2,X0)),X0),
inference(forward_demodulation,[],[f1368,f2]) ).
fof(f1368,plain,
! [X2,X0,X1] : divide(identity,divide(identity,X1)) = divide(multiply(divide(X1,X2),multiply(X2,X0)),X0),
inference(superposition,[],[f441,f599]) ).
fof(f599,plain,
! [X2,X3,X0] : divide(identity,X0) = divide(X2,multiply(divide(X0,X3),multiply(X3,X2))),
inference(forward_demodulation,[],[f580,f2]) ).
fof(f580,plain,
! [X2,X3,X0] : divide(identity,X0) = divide(X2,divide(divide(X0,X3),divide(identity,multiply(X3,X2)))),
inference(backward_demodulation,[],[f118,f551]) ).
fof(f551,plain,
! [X0,X1] : divide(divide(identity,X1),X0) = divide(identity,multiply(X0,X1)),
inference(superposition,[],[f116,f430]) ).
fof(f430,plain,
! [X0,X1] : multiply(multiply(X0,X1),divide(identity,X1)) = X0,
inference(superposition,[],[f426,f2]) ).
fof(f116,plain,
! [X0,X1] : divide(identity,X0) = divide(X1,multiply(X0,X1)),
inference(forward_demodulation,[],[f103,f66]) ).
fof(f103,plain,
! [X0,X1] : multiply(divide(identity,X0),identity) = divide(X1,multiply(X0,X1)),
inference(superposition,[],[f67,f67]) ).
fof(f118,plain,
! [X2,X3,X0] : divide(identity,X0) = divide(X2,divide(divide(X0,X3),divide(divide(identity,X2),X3))),
inference(backward_demodulation,[],[f56,f117]) ).
fof(f117,plain,
! [X0,X1] : divide(identity,X0) = divide(divide(divide(identity,X0),X1),divide(identity,X1)),
inference(backward_demodulation,[],[f115,f116]) ).
fof(f115,plain,
! [X2,X0,X1] : divide(divide(divide(identity,X0),X1),divide(identity,X1)) = divide(X2,multiply(X0,X2)),
inference(forward_demodulation,[],[f102,f4]) ).
fof(f102,plain,
! [X2,X0,X1] : divide(divide(divide(identity,X0),X1),divide(divide(identity,identity),X1)) = divide(X2,multiply(X0,X2)),
inference(superposition,[],[f67,f6]) ).
fof(f56,plain,
! [X2,X3,X0,X1] : divide(X2,divide(divide(X0,X3),divide(divide(identity,X2),X3))) = divide(divide(divide(identity,X0),X1),divide(identity,X1)),
inference(forward_demodulation,[],[f41,f4]) ).
fof(f41,plain,
! [X2,X3,X0,X1] : divide(divide(divide(identity,X0),X1),divide(divide(identity,identity),X1)) = divide(X2,divide(divide(X0,X3),divide(divide(identity,X2),X3))),
inference(superposition,[],[f6,f6]) ).
fof(f441,plain,
! [X0,X1] : divide(X1,X0) = divide(identity,divide(X0,X1)),
inference(superposition,[],[f116,f426]) ).
fof(f426,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(forward_demodulation,[],[f423,f119]) ).
fof(f119,plain,
! [X0,X1] : multiply(X1,divide(identity,X0)) = divide(X1,X0),
inference(forward_demodulation,[],[f107,f66]) ).
fof(f107,plain,
! [X0,X1] : multiply(X1,multiply(divide(identity,X0),identity)) = divide(X1,X0),
inference(superposition,[],[f2,f67]) ).
fof(f423,plain,
! [X0,X1] : multiply(multiply(X0,divide(identity,X1)),X1) = X0,
inference(superposition,[],[f416,f2]) ).
fof(f5,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
% 0.00/0.09 % Problem : GRP462-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri May 3 20:45:08 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % (18325)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.31 % (18329)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.10/0.31 TRYING [1]
% 0.10/0.31 TRYING [2]
% 0.10/0.31 % (18326)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.10/0.31 TRYING [3]
% 0.10/0.31 % (18332)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)
% 0.10/0.31 TRYING [1]
% 0.10/0.31 TRYING [2]
% 0.10/0.32 % (18328)WARNING: value z3 for option sas not known
% 0.10/0.32 TRYING [4]
% 0.10/0.32 TRYING [3]
% 0.10/0.32 % (18331)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)
% 0.10/0.32 % (18328)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)
% 0.10/0.32 % (18327)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.10/0.32 % (18330)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)
% 0.10/0.33 TRYING [4]
% 0.10/0.33 TRYING [5]
% 0.10/0.34 TRYING [6]
% 0.10/0.36 % (18331)First to succeed.
% 0.10/0.36 % (18331)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18325"
% 0.10/0.36 % (18331)Refutation found. Thanks to Tanya!
% 0.10/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.36 % (18331)------------------------------
% 0.10/0.36 % (18331)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.10/0.36 % (18331)Termination reason: Refutation
% 0.10/0.36
% 0.10/0.36 % (18331)Memory used [KB]: 1488
% 0.10/0.36 % (18331)Time elapsed: 0.041 s
% 0.10/0.36 % (18331)Instructions burned: 93 (million)
% 0.10/0.36 % (18325)Success in time 0.055 s
%------------------------------------------------------------------------------