TSTP Solution File: GRP175-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP175-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.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 05:53:53 EDT 2024
% Result : Unsatisfiable 0.13s 0.50s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 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 : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12813,plain,
$false,
inference(subsumption_resolution,[],[f12812,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f12812,plain,
identity != multiply(inverse(a),a),
inference(forward_demodulation,[],[f12707,f5065]) ).
fof(f5065,plain,
! [X0] : greatest_lower_bound(X0,multiply(b,X0)) = X0,
inference(superposition,[],[f5002,f33]) ).
fof(f33,plain,
b = least_upper_bound(identity,b),
inference(superposition,[],[f27,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(f27,plain,
b = least_upper_bound(b,identity),
inference(superposition,[],[f20,f16]) ).
fof(f16,axiom,
identity = greatest_lower_bound(identity,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p06b_1) ).
fof(f20,plain,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X1,X0)) = X0,
inference(superposition,[],[f10,f4]) ).
fof(f4,axiom,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_glb) ).
fof(f10,axiom,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lub_absorbtion) ).
fof(f5002,plain,
! [X0,X1] : greatest_lower_bound(X0,multiply(least_upper_bound(identity,X1),X0)) = X0,
inference(superposition,[],[f11,f916]) ).
fof(f916,plain,
! [X0,X1] : multiply(least_upper_bound(identity,X1),X0) = least_upper_bound(X0,multiply(X1,X0)),
inference(superposition,[],[f14,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f14,axiom,
! [X2,X0,X1] : multiply(least_upper_bound(X1,X2),X0) = least_upper_bound(multiply(X1,X0),multiply(X2,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monotony_lub2) ).
fof(f11,axiom,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',glb_absorbtion) ).
fof(f12707,plain,
identity != multiply(inverse(a),greatest_lower_bound(a,multiply(b,a))),
inference(superposition,[],[f17,f654]) ).
fof(f654,plain,
! [X0,X1] : multiply(inverse(X0),greatest_lower_bound(X0,X1)) = greatest_lower_bound(identity,multiply(inverse(X0),X1)),
inference(superposition,[],[f13,f2]) ).
fof(f13,axiom,
! [X2,X0,X1] : multiply(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monotony_glb1) ).
fof(f17,axiom,
identity != greatest_lower_bound(identity,multiply(inverse(a),multiply(b,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p06b) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : GRP175-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.04/0.09 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Fri May 3 20:42:23 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.09/0.28 % (8874)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.29 % (8881)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)
% 0.09/0.29 % (8877)WARNING: value z3 for option sas not known
% 0.09/0.29 % (8879)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)
% 0.09/0.30 % (8877)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)
% 0.09/0.30 % (8878)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.09/0.30 % (8876)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.09/0.30 % (8875)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.09/0.30 % (8880)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)
% 0.09/0.30 TRYING [1]
% 0.09/0.30 TRYING [2]
% 0.09/0.30 TRYING [3]
% 0.09/0.30 TRYING [1]
% 0.09/0.30 TRYING [2]
% 0.13/0.31 TRYING [3]
% 0.13/0.32 TRYING [4]
% 0.13/0.35 TRYING [4]
% 0.13/0.37 TRYING [5]
% 0.13/0.39 TRYING [1]
% 0.13/0.39 TRYING [2]
% 0.13/0.40 TRYING [3]
% 0.13/0.41 TRYING [4]
% 0.13/0.44 TRYING [5]
% 0.13/0.46 TRYING [5]
% 0.13/0.49 TRYING [6]
% 0.13/0.50 % (8877)First to succeed.
% 0.13/0.50 % (8877)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8874"
% 0.13/0.50 % (8877)Refutation found. Thanks to Tanya!
% 0.13/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.50 % (8877)------------------------------
% 0.13/0.50 % (8877)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.50 % (8877)Termination reason: Refutation
% 0.13/0.50
% 0.13/0.50 % (8877)Memory used [KB]: 4952
% 0.13/0.50 % (8877)Time elapsed: 0.203 s
% 0.13/0.50 % (8877)Instructions burned: 699 (million)
% 0.13/0.50 % (8874)Success in time 0.219 s
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