TSTP Solution File: LAT090-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LAT090-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n002.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 : Wed Aug 31 17:31:45 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 21 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f108,plain,
$false,
inference(trivial_inequality_removal,[],[f107]) ).
fof(f107,plain,
a != a,
inference(backward_demodulation,[],[f6,f94]) ).
fof(f94,plain,
! [X4] : join(X4,X4) = X4,
inference(forward_demodulation,[],[f93,f81]) ).
fof(f81,plain,
! [X5] : join(meet(X5,join(X5,X5)),X5) = X5,
inference(forward_demodulation,[],[f75,f68]) ).
fof(f68,plain,
! [X3] : meet(X3,X3) = X3,
inference(forward_demodulation,[],[f57,f24]) ).
fof(f24,plain,
! [X3,X0] : meet(meet(join(X0,X3),X0),X0) = X0,
inference(superposition,[],[f4,f5]) ).
fof(f5,axiom,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_5) ).
fof(f4,axiom,
! [X2,X0,X1] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_4) ).
fof(f57,plain,
! [X3,X4] : meet(meet(meet(join(X3,X4),X3),X3),X3) = X3,
inference(superposition,[],[f37,f24]) ).
fof(f37,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,meet(X0,X1)),meet(X0,X1)),
inference(superposition,[],[f24,f1]) ).
fof(f1,axiom,
! [X0,X1] : join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_1) ).
fof(f75,plain,
! [X5] : join(meet(X5,join(X5,X5)),meet(X5,X5)) = X5,
inference(backward_demodulation,[],[f31,f68]) ).
fof(f31,plain,
! [X5] : meet(X5,X5) = join(meet(meet(X5,X5),join(X5,X5)),meet(meet(X5,X5),X5)),
inference(superposition,[],[f1,f21]) ).
fof(f21,plain,
! [X6] : join(meet(X6,X6),join(X6,X6)) = X6,
inference(superposition,[],[f2,f4]) ).
fof(f2,axiom,
! [X0,X1] : join(meet(X0,X0),meet(X1,join(X0,X0))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_2) ).
fof(f93,plain,
! [X4] : join(meet(X4,join(X4,X4)),X4) = join(X4,X4),
inference(backward_demodulation,[],[f74,f91]) ).
fof(f91,plain,
! [X8] : meet(join(X8,X8),X8) = X8,
inference(superposition,[],[f4,f68]) ).
fof(f74,plain,
! [X4] : join(meet(X4,join(X4,X4)),meet(join(X4,X4),X4)) = join(X4,X4),
inference(backward_demodulation,[],[f30,f68]) ).
fof(f30,plain,
! [X4] : join(meet(meet(X4,X4),join(X4,X4)),meet(join(X4,X4),X4)) = join(X4,X4),
inference(superposition,[],[f3,f21]) ).
fof(f3,axiom,
! [X0,X1] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_3) ).
fof(f6,axiom,
a != join(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_normal_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT090-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 00:58:43 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.49 % (10879)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.49 % (10857)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.51 % (10860)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52 % (10855)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.52 % (10851)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/10Mi)
% 0.19/0.52 % (10854)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52 % (10868)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (10852)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.53 % (10853)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.53 % (10872)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.19/0.53 % (10854)First to succeed.
% 0.19/0.53 % (10854)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (10854)------------------------------
% 0.19/0.53 % (10854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (10854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (10854)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (10854)Memory used [KB]: 5628
% 0.19/0.53 % (10854)Time elapsed: 0.132 s
% 0.19/0.53 % (10854)Instructions burned: 9 (million)
% 0.19/0.53 % (10854)------------------------------
% 0.19/0.53 % (10854)------------------------------
% 0.19/0.53 % (10849)Success in time 0.178 s
%------------------------------------------------------------------------------