TSTP Solution File: ARI572_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI572_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 : n025.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 15:48:34 EDT 2022
% Result : Theorem 1.38s 0.52s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 23
% Syntax : Number of formulae : 73 ( 14 unt; 6 typ; 0 def)
% Number of atoms : 129 ( 19 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 115 ( 53 ~; 51 |; 4 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 182 ( 64 atm; 51 fun; 36 num; 31 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 6 usr; 9 con; 0-2 aty)
% Number of variables : 31 ( 27 !; 4 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(func_def_5,type,
sK1: $int ).
tff(func_def_6,type,
sF2: $int ).
tff(func_def_7,type,
sF3: $int ).
tff(func_def_8,type,
sF4: $int ).
tff(func_def_9,type,
sF5: $int ).
tff(f575,plain,
$false,
inference(avatar_sat_refutation,[],[f190,f296,f400,f402,f574]) ).
tff(f574,plain,
( spl6_3
| ~ spl6_5 ),
inference(avatar_contradiction_clause,[],[f573]) ).
tff(f573,plain,
( $false
| spl6_3
| ~ spl6_5 ),
inference(subsumption_resolution,[],[f569,f150]) ).
tff(f150,plain,
( ~ $less(0,sF5)
| spl6_3 ),
inference(avatar_component_clause,[],[f149]) ).
tff(f149,plain,
( spl6_3
<=> $less(0,sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
tff(f569,plain,
( $less(0,sF5)
| ~ spl6_5 ),
inference(resolution,[],[f557,f135]) ).
tff(f135,plain,
! [X18: $int] :
( ~ $less(X18,sF3)
| $less(X18,sF5) ),
inference(resolution,[],[f9,f24]) ).
tff(f24,plain,
$less(sF3,sF5),
inference(definition_folding,[],[f18,f23,f22,f21,f20]) ).
tff(f20,plain,
sF2 = $uminus(sK0),
introduced(function_definition,[]) ).
tff(f21,plain,
$sum(sK1,sF2) = sF3,
introduced(function_definition,[]) ).
tff(f22,plain,
$uminus(sK1) = sF4,
introduced(function_definition,[]) ).
tff(f23,plain,
sF5 = $sum(sK0,sF4),
introduced(function_definition,[]) ).
tff(f18,plain,
$less($sum(sK1,$uminus(sK0)),$sum(sK0,$uminus(sK1))),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ~ $less(sK1,sK0)
& $less($sum(sK1,$uminus(sK0)),$sum(sK0,$uminus(sK1))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $int,X1: $int] :
( ~ $less(X1,X0)
& $less($sum(X1,$uminus(X0)),$sum(X0,$uminus(X1))) )
=> ( ~ $less(sK1,sK0)
& $less($sum(sK1,$uminus(sK0)),$sum(sK0,$uminus(sK1))) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $int,X1: $int] :
( ~ $less(X1,X0)
& $less($sum(X1,$uminus(X0)),$sum(X0,$uminus(X1))) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X1: $int,X0: $int] :
( $less($sum(X1,$uminus(X0)),$sum(X0,$uminus(X1)))
=> $less(X1,X0) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X1: $int,X0: $int] :
( $less($sum(X1,$uminus(X0)),$sum(X0,$uminus(X1)))
=> $less(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impl_ineq) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f557,plain,
( $less(0,sF3)
| ~ spl6_5 ),
inference(subsumption_resolution,[],[f555,f184]) ).
tff(f184,plain,
( $less(sK0,sK1)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f182]) ).
tff(f182,plain,
( spl6_5
<=> $less(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
tff(f555,plain,
( $less(0,sF3)
| ~ $less(sK0,sK1) ),
inference(superposition,[],[f331,f30]) ).
tff(f30,plain,
$sum(sK0,sF2) = 0,
inference(superposition,[],[f7,f20]) ).
tff(f7,plain,
! [X0: $int] : ( $sum(X0,$uminus(X0)) = 0 ),
introduced(theory_axiom_145,[]) ).
tff(f331,plain,
! [X19: $int] :
( $less($sum(X19,sF2),sF3)
| ~ $less(X19,sK1) ),
inference(superposition,[],[f11,f21]) ).
tff(f11,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_150,[]) ).
tff(f402,plain,
( spl6_2
| ~ spl6_3 ),
inference(avatar_contradiction_clause,[],[f401]) ).
tff(f401,plain,
( $false
| spl6_2
| ~ spl6_3 ),
inference(subsumption_resolution,[],[f347,f145]) ).
tff(f145,plain,
( ~ $less(-1,sF5)
| spl6_2 ),
inference(avatar_component_clause,[],[f144]) ).
tff(f144,plain,
( spl6_2
<=> $less(-1,sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
tff(f347,plain,
( $less(-1,sF5)
| ~ spl6_3 ),
inference(evaluation,[],[f346]) ).
tff(f346,plain,
( $less(-1,sF5)
| $less(0,0)
| ~ spl6_3 ),
inference(resolution,[],[f160,f68]) ).
tff(f68,plain,
! [X4: $int] :
( $less(X4,0)
| $less(-1,X4) ),
inference(evaluation,[],[f66]) ).
tff(f66,plain,
! [X4: $int] :
( $less($uminus(1),X4)
| $less(X4,0) ),
inference(superposition,[],[f12,f29]) ).
tff(f29,plain,
! [X0: $int] : ( $sum($uminus(X0),X0) = 0 ),
inference(superposition,[],[f7,f13]) ).
tff(f13,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_153,[]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
tff(f160,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| $less(X0,sF5) )
| ~ spl6_3 ),
inference(resolution,[],[f151,f9]) ).
tff(f151,plain,
( $less(0,sF5)
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f149]) ).
tff(f400,plain,
( ~ spl6_2
| ~ spl6_5 ),
inference(avatar_contradiction_clause,[],[f399]) ).
tff(f399,plain,
( $false
| ~ spl6_2
| ~ spl6_5 ),
inference(subsumption_resolution,[],[f398,f157]) ).
tff(f157,plain,
( ~ $less(sF5,0)
| ~ spl6_2 ),
inference(resolution,[],[f146,f90]) ).
tff(f90,plain,
! [X4: $int] :
( ~ $less(-1,X4)
| ~ $less(X4,0) ),
inference(evaluation,[],[f88]) ).
tff(f88,plain,
! [X4: $int] :
( ~ $less(X4,0)
| ~ $less($uminus(1),X4) ),
inference(superposition,[],[f14,f29]) ).
tff(f14,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_166,[]) ).
tff(f146,plain,
( $less(-1,sF5)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f144]) ).
tff(f398,plain,
( $less(sF5,0)
| ~ spl6_5 ),
inference(subsumption_resolution,[],[f391,f184]) ).
tff(f391,plain,
( ~ $less(sK0,sK1)
| $less(sF5,0) ),
inference(superposition,[],[f316,f31]) ).
tff(f31,plain,
$sum(sK1,sF4) = 0,
inference(superposition,[],[f7,f22]) ).
tff(f316,plain,
! [X17: $int] :
( $less(sF5,$sum(X17,sF4))
| ~ $less(sK0,X17) ),
inference(superposition,[],[f11,f23]) ).
tff(f296,plain,
~ spl6_6,
inference(avatar_contradiction_clause,[],[f295]) ).
tff(f295,plain,
( $false
| ~ spl6_6 ),
inference(evaluation,[],[f294]) ).
tff(f294,plain,
( $less(0,0)
| ~ spl6_6 ),
inference(forward_demodulation,[],[f282,f268]) ).
tff(f268,plain,
( ( sF3 = 0 )
| ~ spl6_6 ),
inference(forward_demodulation,[],[f263,f30]) ).
tff(f263,plain,
( ( $sum(sK0,sF2) = sF3 )
| ~ spl6_6 ),
inference(superposition,[],[f21,f188]) ).
tff(f188,plain,
( ( sK0 = sK1 )
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f186]) ).
tff(f186,plain,
( spl6_6
<=> ( sK0 = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
tff(f282,plain,
( $less(sF3,0)
| ~ spl6_6 ),
inference(superposition,[],[f24,f278]) ).
tff(f278,plain,
( ( sF5 = 0 )
| ~ spl6_6 ),
inference(forward_demodulation,[],[f276,f30]) ).
tff(f276,plain,
( ( sF5 = $sum(sK0,sF2) )
| ~ spl6_6 ),
inference(superposition,[],[f23,f269]) ).
tff(f269,plain,
( ( sF2 = sF4 )
| ~ spl6_6 ),
inference(forward_demodulation,[],[f264,f20]) ).
tff(f264,plain,
( ( $uminus(sK0) = sF4 )
| ~ spl6_6 ),
inference(superposition,[],[f22,f188]) ).
tff(f190,plain,
( spl6_6
| spl6_5 ),
inference(avatar_split_clause,[],[f177,f182,f186]) ).
tff(f177,plain,
( $less(sK0,sK1)
| ( sK0 = sK1 ) ),
inference(resolution,[],[f10,f19]) ).
tff(f19,plain,
~ $less(sK1,sK0),
inference(cnf_transformation,[],[f17]) ).
tff(f10,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_149,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI572=1 : TPTP v8.1.0. Released v5.1.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 15:56:59 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.47 % (18606)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)
% 0.19/0.48 % (18620)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.19/0.48 % (18599)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.48 % (18613)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.49 % (18603)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.49 % (18597)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)
% 0.19/0.50 % (18603)Instruction limit reached!
% 0.19/0.50 % (18603)------------------------------
% 0.19/0.50 % (18603)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (18607)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.50 % (18603)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (18603)Termination reason: Unknown
% 0.19/0.50 % (18603)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (18603)Memory used [KB]: 5373
% 0.19/0.50 % (18603)Time elapsed: 0.106 s
% 0.19/0.50 % (18603)Instructions burned: 2 (million)
% 0.19/0.50 % (18603)------------------------------
% 0.19/0.50 % (18603)------------------------------
% 0.19/0.50 % (18621)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)
% 0.19/0.51 % (18609)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)
% 0.19/0.51 % (18596)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)
% 1.38/0.51 % (18619)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 1.38/0.52 % (18598)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)
% 1.38/0.52 % (18600)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)
% 1.38/0.52 % (18595)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)
% 1.38/0.52 % (18601)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)
% 1.38/0.52 % (18595)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.38/0.52 % (18595)Terminated due to inappropriate strategy.
% 1.38/0.52 % (18595)------------------------------
% 1.38/0.52 % (18595)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.52 % (18595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.52 % (18595)Termination reason: Inappropriate
% 1.38/0.52
% 1.38/0.52 % (18595)Memory used [KB]: 895
% 1.38/0.52 % (18595)Time elapsed: 0.002 s
% 1.38/0.52 % (18595)------------------------------
% 1.38/0.52 % (18595)------------------------------
% 1.38/0.52 % (18618)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)
% 1.38/0.52 % (18601)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.38/0.52 % (18601)Terminated due to inappropriate strategy.
% 1.38/0.52 % (18601)------------------------------
% 1.38/0.52 % (18601)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.52 % (18601)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.52 % (18601)Termination reason: Inappropriate
% 1.38/0.52
% 1.38/0.52 % (18601)Memory used [KB]: 895
% 1.38/0.52 % (18601)Time elapsed: 0.001 s
% 1.38/0.52 % (18601)------------------------------
% 1.38/0.52 % (18601)------------------------------
% 1.38/0.52 % (18620)First to succeed.
% 1.38/0.52 % (18620)Refutation found. Thanks to Tanya!
% 1.38/0.52 % SZS status Theorem for theBenchmark
% 1.38/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.38/0.52 % (18620)------------------------------
% 1.38/0.52 % (18620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.52 % (18620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.52 % (18620)Termination reason: Refutation
% 1.38/0.52
% 1.38/0.52 % (18620)Memory used [KB]: 5628
% 1.38/0.52 % (18620)Time elapsed: 0.132 s
% 1.38/0.52 % (18620)Instructions burned: 20 (million)
% 1.38/0.52 % (18620)------------------------------
% 1.38/0.52 % (18620)------------------------------
% 1.38/0.52 % (18594)Success in time 0.181 s
%------------------------------------------------------------------------------