TSTP Solution File: ARI064_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI064_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 : n003.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 15:47:21 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 15 unt; 4 typ; 0 def)
% Number of atoms : 27 ( 26 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 0 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 80 ( 0 atm; 29 fun; 36 num; 15 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 : 7 ( 1 usr; 5 con; 0-2 aty)
% Number of variables : 15 ( 13 !; 2 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,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(f210,plain,
$false,
inference(subsumption_resolution,[],[f201,f27]) ).
tff(f27,plain,
2 != sK0,
inference(literal_reordering,[],[f18]) ).
tff(f18,plain,
2 != sK0,
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ( 5 = $sum(sK0,3) )
& ( 2 != sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $int] :
( ( $sum(X0,3) = 5 )
& ( 2 != X0 ) )
=> ( ( 5 = $sum(sK0,3) )
& ( 2 != sK0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $int] :
( ( $sum(X0,3) = 5 )
& ( 2 != X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( ( $sum(X0,3) = 5 )
=> ( 2 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
( ( $sum(X0,3) = 5 )
=> ( 2 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_only_2_3_5) ).
tff(f201,plain,
2 = sK0,
inference(superposition,[],[f176,f20]) ).
tff(f20,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
inference(literal_reordering,[],[f5]) ).
tff(f5,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f176,plain,
2 = $sum(sK0,0),
inference(evaluation,[],[f167]) ).
tff(f167,plain,
$sum(5,$uminus(3)) = $sum(sK0,0),
inference(superposition,[],[f118,f33]) ).
tff(f33,plain,
! [X0: $int] : ( $sum(X0,$uminus(X0)) = 0 ),
inference(literal_reordering,[],[f7]) ).
tff(f7,plain,
! [X0: $int] : ( $sum(X0,$uminus(X0)) = 0 ),
introduced(theory_axiom_145,[]) ).
tff(f118,plain,
! [X15: $int] : ( $sum(sK0,$sum(3,X15)) = $sum(5,X15) ),
inference(superposition,[],[f31,f29]) ).
tff(f29,plain,
5 = $sum(sK0,3),
inference(literal_reordering,[],[f19]) ).
tff(f19,plain,
5 = $sum(sK0,3),
inference(cnf_transformation,[],[f17]) ).
tff(f31,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($sum(X0,X1),X2) = $sum(X0,$sum(X1,X2)) ),
inference(literal_reordering,[],[f4]) ).
tff(f4,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($sum(X0,X1),X2) = $sum(X0,$sum(X1,X2)) ),
introduced(theory_axiom_141,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI064=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 : n003.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 15:20:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (30774)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.20/0.51 % (30775)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)
% 0.20/0.52 % (30759)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.52 % (30758)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.53 % (30756)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.53 % (30767)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.53 % (30751)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.20/0.53 % (30749)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.20/0.54 % (30757)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.54 % (30757)Instruction limit reached!
% 0.20/0.54 % (30757)------------------------------
% 0.20/0.54 % (30757)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (30757)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (30757)Termination reason: Unknown
% 0.20/0.54 % (30757)Termination phase: Property scanning
% 0.20/0.54
% 0.20/0.54 % (30757)Memory used [KB]: 895
% 0.20/0.54 % (30757)Time elapsed: 0.003 s
% 0.20/0.54 % (30757)Instructions burned: 2 (million)
% 0.20/0.54 % (30757)------------------------------
% 0.20/0.54 % (30757)------------------------------
% 0.20/0.54 % (30766)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.20/0.54 % (30755)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)
% 0.20/0.54 % (30755)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.54 % (30755)Terminated due to inappropriate strategy.
% 0.20/0.54 % (30755)------------------------------
% 0.20/0.54 % (30755)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (30755)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (30755)Termination reason: Inappropriate
% 0.20/0.54
% 0.20/0.54 % (30755)Memory used [KB]: 895
% 0.20/0.54 % (30755)Time elapsed: 0.002 s
% 0.20/0.54 % (30755)------------------------------
% 0.20/0.54 % (30755)------------------------------
% 0.20/0.54 % (30766)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.54 % (30766)Terminated due to inappropriate strategy.
% 0.20/0.54 % (30766)------------------------------
% 0.20/0.54 % (30766)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (30766)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (30766)Termination reason: Inappropriate
% 0.20/0.54
% 0.20/0.54 % (30766)Memory used [KB]: 895
% 0.20/0.54 % (30766)Time elapsed: 0.003 s
% 0.20/0.54 % (30766)Instructions burned: 1 (million)
% 0.20/0.54 % (30766)------------------------------
% 0.20/0.54 % (30766)------------------------------
% 0.20/0.54 % (30768)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.54 % (30773)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.20/0.54 % (30775)First to succeed.
% 0.20/0.54 % (30771)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)
% 0.20/0.54 % (30760)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.54 % (30765)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)
% 0.20/0.55 % (30761)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.55 % (30763)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)
% 0.20/0.55 % (30776)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.20/0.55 % (30775)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (30775)------------------------------
% 0.20/0.55 % (30775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (30775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (30775)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (30775)Memory used [KB]: 5756
% 0.20/0.55 % (30775)Time elapsed: 0.015 s
% 0.20/0.55 % (30775)Instructions burned: 10 (million)
% 0.20/0.55 % (30775)------------------------------
% 0.20/0.55 % (30775)------------------------------
% 0.20/0.55 % (30748)Success in time 0.189 s
%------------------------------------------------------------------------------