TSTP Solution File: GRP465-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP465-1 : 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 : n023.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 12:07:04 EDT 2024
% Result : Unsatisfiable 0.14s 0.43s
% Output : Refutation 0.21s
% 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(f2112,plain,
$false,
inference(trivial_inequality_removal,[],[f2092]) ).
fof(f2092,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f5,f1811]) ).
fof(f1811,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[],[f426,f1696]) ).
fof(f1696,plain,
! [X2,X0,X1] : multiply(X0,X1) = divide(multiply(X0,multiply(X1,X2)),X2),
inference(superposition,[],[f1447,f415]) ).
fof(f415,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(forward_demodulation,[],[f414,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] : divide(X0,X0) = identity,
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(divide(X0,X0),X1),X2),divide(divide(identity,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(f414,plain,
! [X0,X1] : divide(multiply(multiply(identity,X0),X1),X1) = X0,
inference(forward_demodulation,[],[f396,f2]) ).
fof(f396,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(f1447,plain,
! [X2,X0,X1] : divide(multiply(divide(X1,X2),multiply(X2,X0)),X0) = X1,
inference(forward_demodulation,[],[f1446,f162]) ).
fof(f1446,plain,
! [X2,X0,X1] : multiply(identity,X1) = divide(multiply(divide(X1,X2),multiply(X2,X0)),X0),
inference(forward_demodulation,[],[f1384,f2]) ).
fof(f1384,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,f429]) ).
fof(f429,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,[],[f101,f4]) ).
fof(f101,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,[],[f422,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(f422,plain,
! [X0,X1] : multiply(multiply(X0,divide(identity,X1)),X1) = X0,
inference(superposition,[],[f415,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
% 0.03/0.12 % Problem : GRP465-1 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 04:46:55 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (28048)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (28052)WARNING: value z3 for option sas not known
% 0.14/0.38 % (28050)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (28053)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (28052)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)
% 0.14/0.38 % (28054)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)
% 0.14/0.38 % (28055)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)
% 0.14/0.38 % (28051)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (28056)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [3]
% 0.14/0.40 TRYING [5]
% 0.14/0.40 TRYING [4]
% 0.14/0.43 % (28055)First to succeed.
% 0.14/0.43 % (28055)Refutation found. Thanks to Tanya!
% 0.14/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.43 % (28055)------------------------------
% 0.21/0.43 % (28055)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.43 % (28055)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (28055)Memory used [KB]: 1489
% 0.21/0.43 % (28055)Time elapsed: 0.056 s
% 0.21/0.43 % (28055)Instructions burned: 94 (million)
% 0.21/0.43 % (28055)------------------------------
% 0.21/0.43 % (28055)------------------------------
% 0.21/0.43 % (28048)Success in time 0.072 s
%------------------------------------------------------------------------------