TSTP Solution File: GRP524-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP524-1 : 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 21:31:15 EDT 2024
% Result : Unsatisfiable 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 32 unt; 0 def)
% Number of atoms : 32 ( 31 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 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 : 67 ( 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f554,plain,
$false,
inference(trivial_inequality_removal,[],[f553]) ).
fof(f553,plain,
multiply(a,b) != multiply(a,b),
inference(superposition,[],[f4,f518]) ).
fof(f518,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f395,f504]) ).
fof(f504,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(forward_demodulation,[],[f496,f5]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f496,plain,
! [X0,X1] : divide(divide(X0,inverse(X1)),X1) = X0,
inference(superposition,[],[f331,f443]) ).
fof(f443,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(superposition,[],[f395,f178]) ).
fof(f178,plain,
! [X2,X0] : divide(X0,divide(X0,X2)) = X2,
inference(backward_demodulation,[],[f176,f177]) ).
fof(f177,plain,
! [X2,X0,X1] : divide(X0,X1) = divide(X0,multiply(X1,multiply(X2,inverse(X2)))),
inference(forward_demodulation,[],[f165,f5]) ).
fof(f165,plain,
! [X2,X0,X1] : divide(X0,X1) = divide(X0,divide(X1,inverse(multiply(X2,inverse(X2))))),
inference(superposition,[],[f1,f122]) ).
fof(f122,plain,
! [X0,X1] : divide(X0,X0) = inverse(multiply(X1,inverse(X1))),
inference(forward_demodulation,[],[f110,f5]) ).
fof(f110,plain,
! [X0,X1] : divide(X0,X0) = inverse(divide(X1,inverse(inverse(X1)))),
inference(superposition,[],[f91,f7]) ).
fof(f7,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(divide(X0,X0),X1),
inference(superposition,[],[f5,f3]) ).
fof(f91,plain,
! [X2,X1] : inverse(divide(X1,multiply(X2,X1))) = X2,
inference(forward_demodulation,[],[f90,f5]) ).
fof(f90,plain,
! [X2,X1] : inverse(divide(X1,divide(X2,inverse(X1)))) = X2,
inference(forward_demodulation,[],[f67,f3]) ).
fof(f67,plain,
! [X2,X0,X1] : inverse(divide(X1,divide(X2,divide(divide(X0,X0),X1)))) = X2,
inference(superposition,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(X1,divide(X2,divide(X0,X1)))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f176,plain,
! [X2,X0,X1] : divide(X0,divide(X0,multiply(X2,multiply(X1,inverse(X1))))) = X2,
inference(forward_demodulation,[],[f164,f5]) ).
fof(f164,plain,
! [X2,X0,X1] : divide(X0,divide(X0,divide(X2,inverse(multiply(X1,inverse(X1)))))) = X2,
inference(superposition,[],[f1,f122]) ).
fof(f331,plain,
! [X2,X1] : divide(X2,X1) = multiply(X2,inverse(X1)),
inference(backward_demodulation,[],[f121,f317]) ).
fof(f317,plain,
! [X0,X1] : inverse(X1) = divide(X0,multiply(X1,X0)),
inference(superposition,[],[f261,f91]) ).
fof(f261,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(forward_demodulation,[],[f244,f3]) ).
fof(f244,plain,
! [X0,X1] : inverse(divide(divide(X0,X0),X1)) = X1,
inference(superposition,[],[f178,f3]) ).
fof(f121,plain,
! [X2,X0,X1] : multiply(X2,divide(X0,multiply(X1,X0))) = divide(X2,X1),
inference(superposition,[],[f5,f91]) ).
fof(f395,plain,
! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
inference(superposition,[],[f231,f5]) ).
fof(f231,plain,
! [X2,X1] : divide(X2,inverse(divide(X1,X2))) = X1,
inference(backward_demodulation,[],[f62,f208]) ).
fof(f208,plain,
! [X2,X0,X1] : divide(X0,X1) = divide(X0,divide(X1,divide(X2,X2))),
inference(superposition,[],[f1,f157]) ).
fof(f157,plain,
! [X2,X1] : divide(X2,X2) = divide(X1,X1),
inference(superposition,[],[f122,f122]) ).
fof(f62,plain,
! [X2,X0,X1] : divide(X2,inverse(divide(X1,divide(X2,divide(X0,X0))))) = X1,
inference(superposition,[],[f1,f3]) ).
fof(f4,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP524-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 04:31:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (717)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (723)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)
% 0.13/0.36 % (724)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)
% 0.13/0.36 % (721)WARNING: value z3 for option sas not known
% 0.13/0.36 % (721)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)
% 0.13/0.36 % (720)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36 % (725)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)
% 0.13/0.37 % (719)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 % (724)First to succeed.
% 0.13/0.37 % (724)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-717"
% 0.13/0.37 % (724)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37 % (724)------------------------------
% 0.13/0.37 % (724)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (724)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (724)Memory used [KB]: 985
% 0.13/0.37 % (724)Time elapsed: 0.013 s
% 0.13/0.37 % (724)Instructions burned: 32 (million)
% 0.13/0.37 % (717)Success in time 0.022 s
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