TSTP Solution File: ARI591_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI591_1 : TPTP v8.1.0. Released v5.1.0.
% 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 : n013.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 15:48:39 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 14 unt; 1 typ; 0 def)
% Number of atoms : 47 ( 18 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 40 ( 18 ~; 17 |; 4 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 125 ( 28 atm; 25 fun; 40 num; 32 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 1 usr; 6 con; 0-2 aty)
% Number of variables : 32 ( 28 !; 4 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $int ).
tff(f220,plain,
$false,
inference(evaluation,[],[f215]) ).
tff(f215,plain,
( ( 2 = 1 )
| $less(0,0)
| ~ $less(1,3) ),
inference(resolution,[],[f199,f42]) ).
tff(f42,plain,
! [X5: $int] :
( $less(X5,1)
| $less(0,X5) ),
inference(superposition,[],[f12,f23]) ).
tff(f23,plain,
! [X0: $int] : ( $sum(0,X0) = X0 ),
inference(superposition,[],[f3,f5]) ).
tff(f5,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
tff(f199,plain,
! [X1: $int] :
( ~ $less(0,X1)
| ~ $less(X1,3)
| ( 2 = X1 ) ),
inference(backward_demodulation,[],[f18,f196]) ).
tff(f196,plain,
sK0 = 2,
inference(evaluation,[],[f188]) ).
tff(f188,plain,
( ~ $less(0,$sum(-1,3))
| ( sK0 = $sum(-1,3) ) ),
inference(resolution,[],[f165,f18]) ).
tff(f165,plain,
! [X10: $int] : $less($sum(-1,X10),X10),
inference(evaluation,[],[f159]) ).
tff(f159,plain,
! [X10: $int] : $less($sum($uminus(1),X10),X10),
inference(superposition,[],[f52,f143]) ).
tff(f143,plain,
! [X2: $int,X3: $int] : ( $sum(X2,$sum($uminus(X2),X3)) = X3 ),
inference(forward_demodulation,[],[f126,f23]) ).
tff(f126,plain,
! [X2: $int,X3: $int] : ( $sum(X2,$sum($uminus(X2),X3)) = $sum(0,X3) ),
inference(superposition,[],[f4,f7]) ).
tff(f7,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f4,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($sum(X0,X1),X2) = $sum(X0,$sum(X1,X2)) ),
introduced(theory_axiom_141,[]) ).
tff(f52,plain,
! [X0: $int] : $less(X0,$sum(1,X0)),
inference(superposition,[],[f37,f3]) ).
tff(f37,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f12,f8]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f18,plain,
! [X1: $int] :
( ~ $less(X1,3)
| ~ $less(0,X1)
| ( sK0 = X1 ) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
! [X1: $int] :
( ( sK0 = X1 )
| ~ $less(X1,3)
| ~ $less(0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $int] :
! [X1: $int] :
( ( X0 = X1 )
| ~ $less(X1,3)
| ~ $less(0,X1) )
=> ! [X1: $int] :
( ( sK0 = X1 )
| ~ $less(X1,3)
| ~ $less(0,X1) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $int] :
! [X1: $int] :
( ( X0 = X1 )
| ~ $less(X1,3)
| ~ $less(0,X1) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
? [X1: $int] :
( ( X0 != X1 )
& $less(X1,3)
& $less(0,X1) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
? [X1: $int] :
( ( X0 != X1 )
& $less(X1,3)
& $less(0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exists_X_0_3_noteq_Y) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ARI591=1 : TPTP v8.1.0. Released v5.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 15:46:31 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 % (20050)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.45 % (20050)Instruction limit reached!
% 0.19/0.45 % (20050)------------------------------
% 0.19/0.45 % (20050)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.45 % (20050)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.45 % (20050)Termination reason: Unknown
% 0.19/0.45 % (20050)Termination phase: Saturation
% 0.19/0.45
% 0.19/0.45 % (20050)Memory used [KB]: 5500
% 0.19/0.45 % (20050)Time elapsed: 0.060 s
% 0.19/0.45 % (20050)Instructions burned: 7 (million)
% 0.19/0.45 % (20050)------------------------------
% 0.19/0.45 % (20050)------------------------------
% 0.19/0.46 % (20060)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.19/0.46 % (20060)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.46 % (20060)Terminated due to inappropriate strategy.
% 0.19/0.46 % (20060)------------------------------
% 0.19/0.46 % (20060)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46 % (20060)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46 % (20060)Termination reason: Inappropriate
% 0.19/0.46
% 0.19/0.46 % (20060)Memory used [KB]: 895
% 0.19/0.46 % (20060)Time elapsed: 0.003 s
% 0.19/0.46 % (20060)------------------------------
% 0.19/0.46 % (20060)------------------------------
% 0.19/0.52 % (20071)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.19/0.52 % (20057)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)
% 0.19/0.52 % (20047)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.52 % (20045)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)
% 0.19/0.52 % (20047)First to succeed.
% 0.19/0.52 % (20053)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.52 % (20049)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)
% 0.19/0.52 % (20048)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.19/0.52 % (20049)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.52 % (20051)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.52 % (20051)Instruction limit reached!
% 0.19/0.52 % (20051)------------------------------
% 0.19/0.52 % (20051)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (20051)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (20051)Termination reason: Unknown
% 0.19/0.52 % (20051)Termination phase: Preprocessing 1
% 0.19/0.52
% 0.19/0.52 % (20051)Memory used [KB]: 895
% 0.19/0.52 % (20051)Time elapsed: 0.002 s
% 0.19/0.52 % (20051)Instructions burned: 2 (million)
% 0.19/0.52 % (20051)------------------------------
% 0.19/0.52 % (20051)------------------------------
% 0.19/0.53 % (20063)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.19/0.53 % (20052)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)
% 0.19/0.53 % (20065)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)
% 0.19/0.53 % (20059)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)
% 0.19/0.53 % (20055)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.53 % (20070)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)
% 0.19/0.53 % (20064)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.19/0.53 % (20054)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)
% 0.19/0.53 % (20068)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.19/0.54 % (20046)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.54 % (20044)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.54 % (20062)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)
% 0.19/0.54 % (20056)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.54 % (20046)Also succeeded, but the first one will report.
% 0.19/0.54 % (20047)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (20047)------------------------------
% 0.19/0.54 % (20047)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (20047)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (20047)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (20047)Memory used [KB]: 5500
% 0.19/0.54 % (20047)Time elapsed: 0.123 s
% 0.19/0.54 % (20047)Instructions burned: 9 (million)
% 0.19/0.54 % (20047)------------------------------
% 0.19/0.54 % (20047)------------------------------
% 0.19/0.54 % (20042)Success in time 0.196 s
%------------------------------------------------------------------------------