TSTP Solution File: GRP485-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP485-1 : 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 : 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 : Sun May 5 06:09:14 EDT 2024
% Result : Unsatisfiable 0.23s 0.43s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 5
% Syntax : Number of formulae : 56 ( 56 unt; 0 def)
% Number of atoms : 56 ( 55 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 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 : 58 ( 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1246,plain,
$false,
inference(trivial_inequality_removal,[],[f1230]) ).
fof(f1230,plain,
a2 != a2,
inference(superposition,[],[f16,f1122]) ).
fof(f1122,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f1073,f767]) ).
fof(f767,plain,
! [X0] : inverse(double_divide(identity,multiply(X0,identity))) = X0,
inference(superposition,[],[f642,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f642,plain,
! [X0] : double_divide(double_divide(identity,multiply(X0,identity)),identity) = X0,
inference(forward_demodulation,[],[f641,f11]) ).
fof(f11,plain,
! [X0,X1] : multiply(X1,X0) = inverse(double_divide(X0,X1)),
inference(superposition,[],[f2,f3]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f641,plain,
! [X0] : double_divide(double_divide(identity,inverse(double_divide(identity,X0))),identity) = X0,
inference(forward_demodulation,[],[f640,f3]) ).
fof(f640,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),identity) = X0,
inference(forward_demodulation,[],[f634,f449]) ).
fof(f449,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f431,f430]) ).
fof(f430,plain,
identity = inverse(inverse(identity)),
inference(superposition,[],[f421,f137]) ).
fof(f137,plain,
identity = double_divide(inverse(identity),inverse(identity)),
inference(forward_demodulation,[],[f128,f3]) ).
fof(f128,plain,
identity = double_divide(double_divide(identity,identity),inverse(identity)),
inference(superposition,[],[f96,f4]) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f96,plain,
! [X0] : identity = double_divide(double_divide(X0,double_divide(inverse(identity),inverse(inverse(X0)))),inverse(identity)),
inference(superposition,[],[f77,f14]) ).
fof(f14,plain,
! [X0] : inverse(identity) = multiply(inverse(X0),X0),
inference(forward_demodulation,[],[f9,f3]) ).
fof(f9,plain,
! [X0] : double_divide(identity,identity) = multiply(inverse(X0),X0),
inference(superposition,[],[f2,f4]) ).
fof(f77,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,double_divide(multiply(X1,X0),inverse(X1))),inverse(identity)),
inference(superposition,[],[f7,f2]) ).
fof(f7,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1))),inverse(identity)) = X2,
inference(forward_demodulation,[],[f6,f3]) ).
fof(f6,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),inverse(identity)) = X2,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),double_divide(identity,identity)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f421,plain,
! [X0] : inverse(inverse(X0)) = double_divide(inverse(X0),inverse(identity)),
inference(forward_demodulation,[],[f420,f13]) ).
fof(f13,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(forward_demodulation,[],[f8,f3]) ).
fof(f8,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(X0),identity),
inference(superposition,[],[f2,f3]) ).
fof(f420,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(X0),inverse(identity)),
inference(forward_demodulation,[],[f408,f3]) ).
fof(f408,plain,
! [X0] : multiply(identity,X0) = double_divide(double_divide(X0,identity),inverse(identity)),
inference(superposition,[],[f78,f4]) ).
fof(f78,plain,
! [X0,X1] : multiply(X1,X0) = double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity)),
inference(superposition,[],[f7,f21]) ).
fof(f21,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(superposition,[],[f4,f11]) ).
fof(f431,plain,
identity = inverse(inverse(inverse(identity))),
inference(superposition,[],[f421,f156]) ).
fof(f156,plain,
identity = double_divide(inverse(inverse(identity)),inverse(identity)),
inference(forward_demodulation,[],[f155,f3]) ).
fof(f155,plain,
identity = double_divide(double_divide(inverse(identity),identity),inverse(identity)),
inference(forward_demodulation,[],[f152,f4]) ).
fof(f152,plain,
identity = double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(inverse(identity)))),inverse(identity)),
inference(superposition,[],[f77,f148]) ).
fof(f148,plain,
inverse(identity) = multiply(inverse(identity),inverse(identity)),
inference(superposition,[],[f11,f137]) ).
fof(f634,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),inverse(identity))),inverse(identity)) = X0,
inference(superposition,[],[f7,f486]) ).
fof(f486,plain,
identity = double_divide(identity,identity),
inference(superposition,[],[f137,f449]) ).
fof(f1073,plain,
! [X0] : inverse(X0) = inverse(inverse(inverse(X0))),
inference(superposition,[],[f1068,f767]) ).
fof(f1068,plain,
! [X1] : inverse(inverse(X1)) = inverse(inverse(inverse(inverse(X1)))),
inference(forward_demodulation,[],[f1067,f421]) ).
fof(f1067,plain,
! [X1] : double_divide(inverse(X1),inverse(identity)) = inverse(inverse(inverse(inverse(X1)))),
inference(forward_demodulation,[],[f1066,f13]) ).
fof(f1066,plain,
! [X1] : double_divide(inverse(X1),inverse(identity)) = inverse(multiply(identity,inverse(X1))),
inference(forward_demodulation,[],[f1065,f3]) ).
fof(f1065,plain,
! [X1] : double_divide(inverse(X1),inverse(identity)) = double_divide(multiply(identity,inverse(X1)),identity),
inference(forward_demodulation,[],[f991,f708]) ).
fof(f708,plain,
! [X0] : identity = multiply(inverse(X0),multiply(X0,identity)),
inference(forward_demodulation,[],[f682,f449]) ).
fof(f682,plain,
! [X0] : inverse(identity) = multiply(inverse(X0),multiply(X0,identity)),
inference(superposition,[],[f11,f573]) ).
fof(f573,plain,
! [X0] : identity = double_divide(multiply(X0,identity),inverse(X0)),
inference(forward_demodulation,[],[f572,f449]) ).
fof(f572,plain,
! [X0] : inverse(identity) = double_divide(multiply(X0,identity),inverse(X0)),
inference(forward_demodulation,[],[f515,f3]) ).
fof(f515,plain,
! [X0] : double_divide(identity,identity) = double_divide(multiply(X0,identity),inverse(X0)),
inference(superposition,[],[f109,f449]) ).
fof(f109,plain,
! [X0,X1] : double_divide(multiply(X1,inverse(X0)),inverse(X1)) = double_divide(inverse(X0),inverse(identity)),
inference(forward_demodulation,[],[f101,f3]) ).
fof(f101,plain,
! [X0,X1] : double_divide(multiply(X1,double_divide(X0,identity)),inverse(X1)) = double_divide(double_divide(X0,identity),inverse(identity)),
inference(superposition,[],[f7,f77]) ).
fof(f991,plain,
! [X0,X1] : double_divide(inverse(X1),inverse(identity)) = double_divide(multiply(multiply(inverse(X0),multiply(X0,identity)),inverse(X1)),identity),
inference(superposition,[],[f109,f707]) ).
fof(f707,plain,
! [X0] : identity = inverse(multiply(inverse(X0),multiply(X0,identity))),
inference(forward_demodulation,[],[f706,f430]) ).
fof(f706,plain,
! [X0] : inverse(inverse(identity)) = inverse(multiply(inverse(X0),multiply(X0,identity))),
inference(forward_demodulation,[],[f680,f13]) ).
fof(f680,plain,
! [X0] : multiply(identity,identity) = inverse(multiply(inverse(X0),multiply(X0,identity))),
inference(superposition,[],[f15,f573]) ).
fof(f15,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(forward_demodulation,[],[f10,f3]) ).
fof(f10,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = double_divide(multiply(X1,X0),identity),
inference(superposition,[],[f2,f2]) ).
fof(f16,plain,
a2 != inverse(inverse(a2)),
inference(superposition,[],[f5,f13]) ).
fof(f5,axiom,
a2 != multiply(identity,a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP485-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n026.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 20:46:23 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.37 % (13872)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (13873)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [2]
% 0.16/0.39 % (13875)WARNING: value z3 for option sas not known
% 0.16/0.39 TRYING [3]
% 0.16/0.39 % (13875)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 % (13876)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.39 % (13877)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 % (13874)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 TRYING [1]
% 0.16/0.40 TRYING [2]
% 0.16/0.40 % (13878)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)
% 0.16/0.40 % (13879)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)
% 0.16/0.40 TRYING [3]
% 0.16/0.40 TRYING [4]
% 0.16/0.40 TRYING [4]
% 0.16/0.41 TRYING [5]
% 0.23/0.42 % (13879)First to succeed.
% 0.23/0.42 % (13879)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13872"
% 0.23/0.43 % (13879)Refutation found. Thanks to Tanya!
% 0.23/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.43 % (13879)------------------------------
% 0.23/0.43 % (13879)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.43 % (13879)Termination reason: Refutation
% 0.23/0.43
% 0.23/0.43 % (13879)Memory used [KB]: 1115
% 0.23/0.43 % (13879)Time elapsed: 0.029 s
% 0.23/0.43 % (13879)Instructions burned: 44 (million)
% 0.23/0.43 % (13872)Success in time 0.058 s
%------------------------------------------------------------------------------