TSTP Solution File: GRP556-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP556-1 : 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 : n026.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 21:31:21 EDT 2024
% Result : Unsatisfiable 0.16s 0.34s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 19 unt; 0 def)
% Number of atoms : 19 ( 18 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 : 6 ( 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 : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f242,plain,
$false,
inference(trivial_inequality_removal,[],[f241]) ).
fof(f241,plain,
multiply(a,b) != multiply(a,b),
inference(superposition,[],[f3,f181]) ).
fof(f181,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f121,f154]) ).
fof(f154,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(superposition,[],[f4,f136]) ).
fof(f136,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(superposition,[],[f81,f121]) ).
fof(f81,plain,
! [X2,X0,X1] : divide(X1,divide(X0,multiply(X0,divide(X2,X1)))) = X2,
inference(superposition,[],[f73,f6]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : divide(multiply(multiply(X0,divide(X1,divide(X0,X2))),divide(X3,X1)),X2) = X3,
inference(superposition,[],[f4,f4]) ).
fof(f73,plain,
! [X2,X0,X1] : divide(multiply(multiply(X0,X1),X2),multiply(X0,X2)) = X1,
inference(forward_demodulation,[],[f60,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f60,plain,
! [X2,X0,X1] : divide(multiply(multiply(X0,X1),X2),divide(X0,inverse(X2))) = X1,
inference(superposition,[],[f48,f2]) ).
fof(f48,plain,
! [X2,X3,X1] : divide(divide(multiply(X2,X1),X3),divide(X2,X3)) = X1,
inference(superposition,[],[f4,f7]) ).
fof(f7,plain,
! [X2,X3,X0,X1] : multiply(X0,divide(X1,divide(X0,divide(X2,X3)))) = divide(multiply(X2,X1),X3),
inference(superposition,[],[f4,f4]) ).
fof(f4,plain,
! [X2,X0,X1] : divide(multiply(X0,divide(X1,divide(X0,X2))),X2) = X1,
inference(forward_demodulation,[],[f1,f2]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f121,plain,
! [X2,X1] : multiply(X1,divide(X2,X1)) = X2,
inference(superposition,[],[f12,f10]) ).
fof(f10,plain,
! [X2,X0,X1] : multiply(multiply(X0,divide(X1,multiply(X0,X2))),X2) = X1,
inference(forward_demodulation,[],[f8,f2]) ).
fof(f8,plain,
! [X2,X0,X1] : multiply(multiply(X0,divide(X1,divide(X0,inverse(X2)))),X2) = X1,
inference(superposition,[],[f4,f2]) ).
fof(f12,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(X0,divide(X1,multiply(X0,X2))),divide(X3,X1)),X2) = X3,
inference(superposition,[],[f10,f10]) ).
fof(f3,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GRP556-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% 0.02/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n026.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sun May 19 06:08:23 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.32 % (11243)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (11246)WARNING: value z3 for option sas not known
% 0.16/0.33 % (11244)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33 % (11245)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33 % (11248)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)
% 0.16/0.33 % (11246)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)
% 0.16/0.33 % (11249)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)
% 0.16/0.33 % (11247)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33 % (11250)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)
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [3]
% 0.16/0.33 TRYING [2]
% 0.16/0.34 TRYING [3]
% 0.16/0.34 TRYING [4]
% 0.16/0.34 % (11246)First to succeed.
% 0.16/0.34 % (11246)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11243"
% 0.16/0.34 % (11246)Refutation found. Thanks to Tanya!
% 0.16/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.34 % (11246)------------------------------
% 0.16/0.34 % (11246)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.34 % (11246)Termination reason: Refutation
% 0.16/0.34
% 0.16/0.34 % (11246)Memory used [KB]: 944
% 0.16/0.34 % (11246)Time elapsed: 0.011 s
% 0.16/0.34 % (11246)Instructions burned: 18 (million)
% 0.16/0.34 % (11243)Success in time 0.025 s
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