TSTP Solution File: ARI091_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI091_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n027.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 15:47:25 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 16 unt; 4 typ; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 8 ~; 0 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 95 ( 0 atm; 38 fun; 41 num; 16 var)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 1 usr; 6 con; 0-2 aty)
% Number of variables : 16 ( 14 !; 2 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $int ).
tff(pred_def_2,type,
sQ1_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_3,type,
sQ2_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_4,type,
sQ3_eqProxy: ( $real * $real ) > $o ).
tff(f192,plain,
$false,
inference(subsumption_resolution,[],[f185,f22]) ).
tff(f22,plain,
5 != sK0,
inference(literal_reordering,[],[f19]) ).
tff(f19,plain,
5 != sK0,
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ( 3 = $sum(sK0,$uminus(2)) )
& ( 5 != sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).
tff(f17,plain,
( ? [X0: $int] :
( ( 3 = $sum(X0,$uminus(2)) )
& ( 5 != X0 ) )
=> ( ( 3 = $sum(sK0,$uminus(2)) )
& ( 5 != sK0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: $int] :
( ( 3 = $sum(X0,$uminus(2)) )
& ( 5 != X0 ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $int] :
( ( 3 = $sum(X0,$uminus(2)) )
=> ( 5 = X0 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( ( $difference(X0,2) = 3 )
=> ( 5 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
( ( $difference(X0,2) = 3 )
=> ( 5 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_only_5_2_3) ).
tff(f185,plain,
5 = sK0,
inference(superposition,[],[f28,f171]) ).
tff(f171,plain,
5 = $sum(sK0,0),
inference(evaluation,[],[f162]) ).
tff(f162,plain,
$sum(3,$uminus(-2)) = $sum(sK0,0),
inference(superposition,[],[f112,f29]) ).
tff(f29,plain,
! [X0: $int] : ( $sum(X0,$uminus(X0)) = 0 ),
inference(literal_reordering,[],[f8]) ).
tff(f8,plain,
! [X0: $int] : ( $sum(X0,$uminus(X0)) = 0 ),
introduced(theory_axiom_145,[]) ).
tff(f112,plain,
! [X0: $int] : ( $sum(3,X0) = $sum(sK0,$sum(-2,X0)) ),
inference(superposition,[],[f26,f67]) ).
tff(f67,plain,
3 = $sum(sK0,-2),
inference(evaluation,[],[f27]) ).
tff(f27,plain,
3 = $sum(sK0,$uminus(2)),
inference(literal_reordering,[],[f20]) ).
tff(f20,plain,
3 = $sum(sK0,$uminus(2)),
inference(cnf_transformation,[],[f18]) ).
tff(f26,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
inference(literal_reordering,[],[f5]) ).
tff(f5,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_141,[]) ).
tff(f28,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
inference(literal_reordering,[],[f6]) ).
tff(f6,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI091=1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n027.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 : Mon Aug 29 15:36:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (19810)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.50 % (19800)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.50 % (19802)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.50 % (19802)Instruction limit reached!
% 0.20/0.50 % (19802)------------------------------
% 0.20/0.50 % (19802)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (19800)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.51 % (19800)Terminated due to inappropriate strategy.
% 0.20/0.51 % (19800)------------------------------
% 0.20/0.51 % (19800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (19800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (19800)Termination reason: Inappropriate
% 0.20/0.51
% 0.20/0.51 % (19800)Memory used [KB]: 895
% 0.20/0.51 % (19800)Time elapsed: 0.003 s
% 0.20/0.51 % (19800)Instructions burned: 2 (million)
% 0.20/0.51 % (19800)------------------------------
% 0.20/0.51 % (19800)------------------------------
% 0.20/0.51 % (19808)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.20/0.51 % (19818)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.20/0.51 % (19816)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.20/0.51 % (19802)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (19802)Termination reason: Unknown
% 0.20/0.51 % (19802)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (19802)Memory used [KB]: 5373
% 0.20/0.51 % (19802)Time elapsed: 0.098 s
% 0.20/0.51 % (19802)Instructions burned: 2 (million)
% 0.20/0.51 % (19802)------------------------------
% 0.20/0.51 % (19802)------------------------------
% 0.20/0.52 % (19808)First to succeed.
% 0.20/0.53 % (19808)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (19808)------------------------------
% 0.20/0.53 % (19808)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (19808)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (19808)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (19808)Memory used [KB]: 5756
% 0.20/0.53 % (19808)Time elapsed: 0.016 s
% 0.20/0.53 % (19808)Instructions burned: 9 (million)
% 0.20/0.53 % (19808)------------------------------
% 0.20/0.53 % (19808)------------------------------
% 0.20/0.53 % (19793)Success in time 0.168 s
%------------------------------------------------------------------------------