TSTP Solution File: ARI092_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI092_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 : n011.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 : 12
% Syntax : Number of formulae : 30 ( 21 unt; 3 typ; 0 def)
% Number of atoms : 35 ( 34 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 15 ( 7 ~; 0 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 99 ( 0 atm; 42 fun; 38 num; 19 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 3 usr; 8 con; 0-2 aty)
% Number of variables : 19 ( 17 !; 2 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $int ).
tff(func_def_9,type,
sF1: $int ).
tff(func_def_10,type,
sF2: $int ).
tff(f434,plain,
$false,
inference(subsumption_resolution,[],[f433,f20]) ).
tff(f20,plain,
3 != sK0,
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ( 3 != sK0 )
& ( 2 = $sum(5,$uminus(sK0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).
tff(f17,plain,
( ? [X0: $int] :
( ( 3 != X0 )
& ( 2 = $sum(5,$uminus(X0)) ) )
=> ( ( 3 != sK0 )
& ( 2 = $sum(5,$uminus(sK0)) ) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: $int] :
( ( 3 != X0 )
& ( 2 = $sum(5,$uminus(X0)) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $int] :
( ( 2 = $sum(5,$uminus(X0)) )
=> ( 3 = X0 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( ( $difference(5,X0) = 2 )
=> ( 3 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
( ( $difference(5,X0) = 2 )
=> ( 3 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_5_only_3_2) ).
tff(f433,plain,
3 = sK0,
inference(evaluation,[],[f415]) ).
tff(f415,plain,
$uminus(-3) = sK0,
inference(backward_demodulation,[],[f25,f402]) ).
tff(f402,plain,
sF1 = -3,
inference(evaluation,[],[f384]) ).
tff(f384,plain,
sF1 = $sum($uminus(5),2),
inference(superposition,[],[f200,f24]) ).
tff(f24,plain,
2 = $sum(5,sF1),
inference(backward_demodulation,[],[f22,f23]) ).
tff(f23,plain,
2 = sF2,
inference(definition_folding,[],[f19,f22,f21]) ).
tff(f21,plain,
$uminus(sK0) = sF1,
introduced(function_definition,[]) ).
tff(f19,plain,
2 = $sum(5,$uminus(sK0)),
inference(cnf_transformation,[],[f18]) ).
tff(f22,plain,
$sum(5,sF1) = sF2,
introduced(function_definition,[]) ).
tff(f200,plain,
! [X16: $int,X15: $int] : ( $sum($uminus(X15),$sum(X15,X16)) = X16 ),
inference(forward_demodulation,[],[f177,f31]) ).
tff(f31,plain,
! [X0: $int] : ( $sum(0,X0) = X0 ),
inference(superposition,[],[f4,f6]) ).
tff(f6,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f177,plain,
! [X16: $int,X15: $int] : ( $sum($uminus(X15),$sum(X15,X16)) = $sum(0,X16) ),
inference(superposition,[],[f5,f27]) ).
tff(f27,plain,
! [X0: $int] : ( $sum($uminus(X0),X0) = 0 ),
inference(superposition,[],[f8,f14]) ).
tff(f14,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_153,[]) ).
tff(f8,plain,
! [X0: $int] : ( $sum(X0,$uminus(X0)) = 0 ),
introduced(theory_axiom_145,[]) ).
tff(f5,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($sum(X0,X1),X2) = $sum(X0,$sum(X1,X2)) ),
introduced(theory_axiom_141,[]) ).
tff(f25,plain,
$uminus(sF1) = sK0,
inference(superposition,[],[f14,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ARI092=1 : TPTP v8.1.0. Released v5.0.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 15:18:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.47 % (1574)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.48 % (1590)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)
% 0.20/0.49 % (1576)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 % (1592)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)
% 0.20/0.50 % (1576)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.50 % (1576)Terminated due to inappropriate strategy.
% 0.20/0.50 % (1576)------------------------------
% 0.20/0.50 % (1576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (1576)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (1576)Termination reason: Inappropriate
% 0.20/0.50
% 0.20/0.50 % (1576)Memory used [KB]: 895
% 0.20/0.50 % (1576)Time elapsed: 0.003 s
% 0.20/0.50 % (1576)Instructions burned: 2 (million)
% 0.20/0.50 % (1576)------------------------------
% 0.20/0.50 % (1576)------------------------------
% 0.20/0.50 % (1585)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.20/0.50 % (1598)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.20/0.50 % (1593)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.20/0.50 % (1584)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 % (1575)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)
% 0.20/0.51 % (1582)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.52 % (1578)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.52 % (1578)Instruction limit reached!
% 0.20/0.52 % (1578)------------------------------
% 0.20/0.52 % (1578)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (1578)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (1578)Termination reason: Unknown
% 0.20/0.52 % (1578)Termination phase: shuffling
% 0.20/0.52
% 0.20/0.52 % (1578)Memory used [KB]: 895
% 0.20/0.52 % (1578)Time elapsed: 0.002 s
% 0.20/0.52 % (1578)Instructions burned: 2 (million)
% 0.20/0.52 % (1578)------------------------------
% 0.20/0.52 % (1578)------------------------------
% 0.20/0.52 % (1577)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.52 % (1577)Instruction limit reached!
% 0.20/0.52 % (1577)------------------------------
% 0.20/0.52 % (1577)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (1577)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (1577)Termination reason: Unknown
% 0.20/0.52 % (1577)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (1577)Memory used [KB]: 5500
% 0.20/0.52 % (1577)Time elapsed: 0.077 s
% 0.20/0.52 % (1577)Instructions burned: 7 (million)
% 0.20/0.52 % (1577)------------------------------
% 0.20/0.52 % (1577)------------------------------
% 0.20/0.52 % (1600)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 0.20/0.53 % (1572)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 % (1573)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)
% 0.20/0.53 % (1571)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)
% 0.20/0.53 % (1580)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.53 % (1581)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)
% 0.20/0.53 % (1579)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 % (1598)First to succeed.
% 0.20/0.53 % (1598)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 % (1598)------------------------------
% 0.20/0.53 % (1598)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (1598)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (1598)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (1598)Memory used [KB]: 5756
% 0.20/0.53 % (1598)Time elapsed: 0.131 s
% 0.20/0.53 % (1598)Instructions burned: 19 (million)
% 0.20/0.53 % (1598)------------------------------
% 0.20/0.53 % (1598)------------------------------
% 0.20/0.53 % (1567)Success in time 0.181 s
%------------------------------------------------------------------------------