TSTP Solution File: GRP551-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP551-1 : 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 : n010.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 21:31:20 EDT 2024
% Result : Unsatisfiable 0.23s 0.46s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 4
% Syntax : Number of formulae : 54 ( 54 unt; 0 def)
% Number of atoms : 54 ( 53 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 : 118 ( 118 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2386,plain,
$false,
inference(trivial_inequality_removal,[],[f2361]) ).
fof(f2361,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f5,f1640]) ).
fof(f1640,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[],[f1639,f663]) ).
fof(f663,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = divide(X1,divide(identity,multiply(X0,X2))),
inference(backward_demodulation,[],[f414,f638]) ).
fof(f638,plain,
! [X0,X1] : divide(divide(identity,X1),X0) = divide(identity,multiply(X0,X1)),
inference(superposition,[],[f504,f140]) ).
fof(f140,plain,
! [X0,X1] : divide(identity,X1) = divide(X0,multiply(X0,X1)),
inference(superposition,[],[f125,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f125,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(backward_demodulation,[],[f69,f113]) ).
fof(f113,plain,
! [X0] : divide(X0,identity) = X0,
inference(superposition,[],[f69,f96]) ).
fof(f96,plain,
! [X0] : identity = divide(X0,divide(X0,identity)),
inference(superposition,[],[f69,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f69,plain,
! [X0,X1] : divide(X0,divide(X0,divide(X1,identity))) = X1,
inference(superposition,[],[f51,f53]) ).
fof(f53,plain,
! [X1] : divide(identity,divide(identity,divide(X1,identity))) = X1,
inference(forward_demodulation,[],[f52,f4]) ).
fof(f52,plain,
! [X1] : divide(identity,divide(divide(identity,identity),divide(X1,identity))) = X1,
inference(backward_demodulation,[],[f38,f43]) ).
fof(f43,plain,
! [X2,X0,X1] : divide(divide(divide(X1,X0),X2),X1) = divide(divide(identity,X0),divide(X2,identity)),
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,X0),divide(divide(divide(X1,X0),X2),X1)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f38,plain,
! [X0,X1] : divide(identity,divide(divide(divide(X0,identity),X1),X0)) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f51,plain,
! [X2,X0] : divide(divide(identity,X0),divide(divide(identity,X0),divide(X2,identity))) = X2,
inference(backward_demodulation,[],[f1,f43]) ).
fof(f504,plain,
! [X0,X1] : divide(identity,X0) = divide(divide(X1,X0),X1),
inference(superposition,[],[f453,f232]) ).
fof(f232,plain,
! [X0,X1] : divide(X0,X1) = multiply(divide(identity,X1),X0),
inference(superposition,[],[f125,f204]) ).
fof(f204,plain,
! [X0,X1] : divide(X0,multiply(divide(identity,X1),X0)) = X1,
inference(forward_demodulation,[],[f203,f122]) ).
fof(f122,plain,
! [X0] : multiply(identity,X0) = X0,
inference(backward_demodulation,[],[f56,f113]) ).
fof(f56,plain,
! [X0] : multiply(identity,divide(X0,identity)) = X0,
inference(superposition,[],[f53,f2]) ).
fof(f203,plain,
! [X0,X1] : divide(multiply(identity,X0),multiply(divide(identity,X1),X0)) = X1,
inference(forward_demodulation,[],[f186,f2]) ).
fof(f186,plain,
! [X0,X1] : divide(multiply(identity,X0),divide(divide(identity,X1),divide(identity,X0))) = X1,
inference(superposition,[],[f40,f2]) ).
fof(f40,plain,
! [X0,X1] : divide(divide(identity,X0),divide(divide(identity,X1),X0)) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f453,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(forward_demodulation,[],[f450,f119]) ).
fof(f119,plain,
! [X0] : multiply(X0,identity) = X0,
inference(backward_demodulation,[],[f6,f113]) ).
fof(f6,plain,
! [X0] : multiply(X0,identity) = divide(X0,identity),
inference(superposition,[],[f2,f4]) ).
fof(f450,plain,
! [X0,X1] : divide(multiply(multiply(X0,identity),X1),X1) = X0,
inference(backward_demodulation,[],[f194,f413]) ).
fof(f413,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = divide(X1,divide(divide(identity,X2),X0)),
inference(superposition,[],[f128,f140]) ).
fof(f128,plain,
! [X2,X0,X1] : divide(X0,divide(divide(multiply(X1,X0),X2),X1)) = X2,
inference(backward_demodulation,[],[f47,f122]) ).
fof(f47,plain,
! [X2,X0,X1] : divide(multiply(identity,X0),divide(divide(multiply(X1,X0),X2),X1)) = X2,
inference(forward_demodulation,[],[f39,f2]) ).
fof(f39,plain,
! [X2,X0,X1] : divide(multiply(identity,X0),divide(divide(divide(X1,divide(identity,X0)),X2),X1)) = X2,
inference(superposition,[],[f1,f2]) ).
fof(f194,plain,
! [X0,X1] : divide(divide(identity,divide(divide(identity,X1),X0)),X1) = X0,
inference(superposition,[],[f40,f40]) ).
fof(f414,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = divide(X1,divide(divide(identity,X2),X0)),
inference(superposition,[],[f128,f236]) ).
fof(f236,plain,
! [X0,X1] : divide(identity,X0) = divide(X1,multiply(X0,X1)),
inference(forward_demodulation,[],[f216,f122]) ).
fof(f216,plain,
! [X0,X1] : divide(identity,X0) = divide(X1,multiply(multiply(identity,X0),X1)),
inference(superposition,[],[f204,f2]) ).
fof(f1639,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = divide(X2,divide(identity,multiply(X1,X0))),
inference(forward_demodulation,[],[f1590,f661]) ).
fof(f661,plain,
! [X0,X1] : divide(divide(identity,X0),X1) = divide(identity,multiply(X0,X1)),
inference(backward_demodulation,[],[f200,f638]) ).
fof(f200,plain,
! [X0,X1] : divide(divide(identity,X1),X0) = divide(divide(identity,X0),X1),
inference(superposition,[],[f125,f40]) ).
fof(f1590,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = divide(X2,divide(divide(identity,X1),X0)),
inference(superposition,[],[f728,f2]) ).
fof(f728,plain,
! [X2,X0,X1] : divide(X1,divide(X2,X0)) = multiply(divide(X0,X2),X1),
inference(forward_demodulation,[],[f727,f411]) ).
fof(f411,plain,
! [X2,X0,X1] : divide(multiply(X0,X1),X2) = divide(X1,divide(X2,X0)),
inference(superposition,[],[f128,f125]) ).
fof(f727,plain,
! [X2,X0,X1] : divide(multiply(X0,X1),X2) = multiply(divide(X0,X2),X1),
inference(forward_demodulation,[],[f699,f691]) ).
fof(f691,plain,
! [X2,X0,X1] : divide(X0,X1) = divide(multiply(X0,X2),multiply(X1,X2)),
inference(superposition,[],[f454,f125]) ).
fof(f454,plain,
! [X2,X3,X0] : divide(multiply(X2,X0),multiply(divide(X2,X3),X0)) = X3,
inference(forward_demodulation,[],[f451,f119]) ).
fof(f451,plain,
! [X2,X3,X0] : divide(multiply(multiply(X2,identity),X0),multiply(divide(X2,X3),X0)) = X3,
inference(backward_demodulation,[],[f121,f413]) ).
fof(f121,plain,
! [X2,X3,X0] : divide(divide(identity,divide(divide(identity,X0),X2)),multiply(divide(X2,X3),X0)) = X3,
inference(backward_demodulation,[],[f50,f113]) ).
fof(f50,plain,
! [X2,X3,X0] : divide(divide(identity,divide(divide(identity,X0),divide(X2,identity))),multiply(divide(X2,X3),X0)) = X3,
inference(backward_demodulation,[],[f49,f43]) ).
fof(f49,plain,
! [X2,X3,X0,X1] : divide(divide(identity,divide(divide(divide(X1,X0),X2),X1)),multiply(divide(X2,X3),X0)) = X3,
inference(forward_demodulation,[],[f42,f2]) ).
fof(f42,plain,
! [X2,X3,X0,X1] : divide(divide(identity,divide(divide(divide(X1,X0),X2),X1)),divide(divide(X2,X3),divide(identity,X0))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f699,plain,
! [X2,X3,X0,X1] : multiply(divide(X0,X2),X1) = divide(multiply(multiply(X0,X1),X3),multiply(X2,X3)),
inference(superposition,[],[f454,f454]) ).
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
% 0.07/0.12 % Problem : GRP551-1 : TPTP v8.2.0. Released v2.6.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.37 % Computer : n010.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sun May 19 05:01:23 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % (14376)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39 % (14379)WARNING: value z3 for option sas not known
% 0.16/0.39 % (14378)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.39 % (14380)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.39 % (14377)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.39 % (14379)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)
% 0.16/0.39 % (14381)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)
% 0.16/0.39 % (14382)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)
% 0.16/0.39 % (14383)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)
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [2]
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [3]
% 0.16/0.39 TRYING [2]
% 0.16/0.39 TRYING [4]
% 0.16/0.39 TRYING [3]
% 0.23/0.40 TRYING [4]
% 0.23/0.40 TRYING [5]
% 0.23/0.44 TRYING [6]
% 0.23/0.45 % (14382)First to succeed.
% 0.23/0.45 % (14382)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14376"
% 0.23/0.46 % (14382)Refutation found. Thanks to Tanya!
% 0.23/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.46 % (14382)------------------------------
% 0.23/0.46 % (14382)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.46 % (14382)Termination reason: Refutation
% 0.23/0.46
% 0.23/0.46 % (14382)Memory used [KB]: 1692
% 0.23/0.46 % (14382)Time elapsed: 0.068 s
% 0.23/0.46 % (14382)Instructions burned: 119 (million)
% 0.23/0.46 % (14376)Success in time 0.084 s
%------------------------------------------------------------------------------