TSTP Solution File: GRP186-4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP186-4 : TPTP v8.2.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.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 21:15:42 EDT 2024
% Result : Unsatisfiable 0.15s 0.34s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 10 unt; 0 def)
% Number of atoms : 10 ( 9 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 : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f871,plain,
$false,
inference(trivial_inequality_removal,[],[f870]) ).
fof(f870,plain,
least_upper_bound(identity,multiply(a,b)) != least_upper_bound(identity,multiply(a,b)),
inference(superposition,[],[f856,f5]) ).
fof(f5,axiom,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_lub) ).
fof(f856,plain,
least_upper_bound(multiply(a,b),identity) != least_upper_bound(identity,multiply(a,b)),
inference(backward_demodulation,[],[f19,f820]) ).
fof(f820,plain,
! [X0,X1] : multiply(X0,least_upper_bound(inverse(X0),X1)) = least_upper_bound(identity,multiply(X0,X1)),
inference(superposition,[],[f12,f22]) ).
fof(f22,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f17]) ).
fof(f17,axiom,
! [X0] : inverse(inverse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23x_2) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f12,axiom,
! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monotony_lub1) ).
fof(f19,axiom,
least_upper_bound(multiply(a,b),identity) != multiply(a,least_upper_bound(inverse(a),b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p23x) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09 % Problem : GRP186-4 : TPTP v8.2.0. Bugfixed v1.2.1.
% 0.07/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n012.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sun May 19 04:31:38 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % (12323)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.31 % (12324)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.31 % (12327)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.31 % (12325)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [2]
% 0.15/0.32 TRYING [3]
% 0.15/0.32 % (12326)WARNING: value z3 for option sas not known
% 0.15/0.32 TRYING [1]
% 0.15/0.32 % (12330)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)
% 0.15/0.32 % (12328)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)
% 0.15/0.32 % (12326)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)
% 0.15/0.32 TRYING [2]
% 0.15/0.32 % (12329)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)
% 0.15/0.33 TRYING [4]
% 0.15/0.33 TRYING [3]
% 0.15/0.34 % (12329)First to succeed.
% 0.15/0.34 % (12329)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12323"
% 0.15/0.34 % (12329)Refutation found. Thanks to Tanya!
% 0.15/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.34 % (12329)------------------------------
% 0.15/0.34 % (12329)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.34 % (12329)Termination reason: Refutation
% 0.15/0.34
% 0.15/0.34 % (12329)Memory used [KB]: 1117
% 0.15/0.34 % (12329)Time elapsed: 0.024 s
% 0.15/0.34 % (12329)Instructions burned: 45 (million)
% 0.15/0.34 % (12323)Success in time 0.038 s
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