TSTP Solution File: ARI570_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI570_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 : n028.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 1.55s 0.56s
% Output : Refutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 46 ( 15 unt; 2 typ; 0 def)
% Number of atoms : 77 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 61 ( 28 ~; 22 |; 5 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 186 ( 42 atm; 67 fun; 38 num; 39 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 2 usr; 5 con; 0-2 aty)
% Number of variables : 39 ( 33 !; 6 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $int ).
tff(func_def_6,type,
sK1: $int ).
tff(f330,plain,
$false,
inference(avatar_sat_refutation,[],[f72,f278,f325]) ).
tff(f325,plain,
~ spl2_4,
inference(avatar_contradiction_clause,[],[f324]) ).
tff(f324,plain,
( $false
| ~ spl2_4 ),
inference(evaluation,[],[f323]) ).
tff(f323,plain,
( $less(0,-3)
| ~ spl2_4 ),
inference(forward_demodulation,[],[f322,f225]) ).
tff(f225,plain,
! [X3: $int,X4: $int] : ( $sum(X3,$sum(X4,$uminus(X3))) = X4 ),
inference(superposition,[],[f116,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f116,plain,
! [X8: $int,X9: $int] : ( $sum(X8,$sum($uminus(X8),X9)) = X9 ),
inference(forward_demodulation,[],[f101,f24]) ).
tff(f24,plain,
! [X1: $int] : ( $sum(0,X1) = X1 ),
inference(superposition,[],[f5,f3]) ).
tff(f5,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f101,plain,
! [X8: $int,X9: $int] : ( $sum(X8,$sum($uminus(X8),X9)) = $sum(0,X9) ),
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(f322,plain,
( $less(0,$sum(sK0,$sum(-3,$uminus(sK0))))
| ~ spl2_4 ),
inference(evaluation,[],[f321]) ).
tff(f321,plain,
( $less(0,$sum(sK0,$sum($uminus(3),$uminus(sK0))))
| ~ spl2_4 ),
inference(forward_demodulation,[],[f310,f6]) ).
tff(f6,plain,
! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
introduced(theory_axiom_144,[]) ).
tff(f310,plain,
( $less(0,$sum(sK0,$uminus($sum(sK0,3))))
| ~ spl2_4 ),
inference(backward_demodulation,[],[f260,f69]) ).
tff(f69,plain,
( ( $sum(sK0,3) = sK1 )
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f67]) ).
tff(f67,plain,
( spl2_4
<=> ( $sum(sK0,3) = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
tff(f260,plain,
$less(0,$sum(sK0,$uminus(sK1))),
inference(resolution,[],[f91,f20]) ).
tff(f20,plain,
$less(sK1,sK0),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
( ~ $less(sK1,$sum(sK0,3))
& $less(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f17,f18]) ).
tff(f18,plain,
( ? [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,3))
& $less(X1,X0) )
=> ( ~ $less(sK1,$sum(sK0,3))
& $less(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f17,plain,
? [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,3))
& $less(X1,X0) ),
inference(rectify,[],[f16]) ).
tff(f16,plain,
? [X1: $int,X0: $int] :
( ~ $less(X0,$sum(X1,3))
& $less(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
~ ! [X1: $int,X0: $int] :
( $less(X0,X1)
=> $less(X0,$sum(X1,3)) ),
inference(rectify,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X1: $int,X0: $int] :
( $less(X1,X0)
=> $less(X1,$sum(X0,3)) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X1: $int,X0: $int] :
( $less(X1,X0)
=> $less(X1,$sum(X0,3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',weakening_ineq) ).
tff(f91,plain,
! [X8: $int,X9: $int] :
( ~ $less(X8,X9)
| $less(0,$sum(X9,$uminus(X8))) ),
inference(superposition,[],[f11,f7]) ).
tff(f11,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_150,[]) ).
tff(f278,plain,
~ spl2_3,
inference(avatar_contradiction_clause,[],[f277]) ).
tff(f277,plain,
( $false
| ~ spl2_3 ),
inference(evaluation,[],[f276]) ).
tff(f276,plain,
( $less(0,-3)
| ~ spl2_3 ),
inference(forward_demodulation,[],[f275,f225]) ).
tff(f275,plain,
( $less(0,$sum(sK0,$sum(-3,$uminus(sK0))))
| ~ spl2_3 ),
inference(evaluation,[],[f274]) ).
tff(f274,plain,
( $less(0,$sum(sK0,$sum($uminus(3),$uminus(sK0))))
| ~ spl2_3 ),
inference(forward_demodulation,[],[f273,f6]) ).
tff(f273,plain,
( $less(0,$sum(sK0,$uminus($sum(sK0,3))))
| ~ spl2_3 ),
inference(resolution,[],[f91,f155]) ).
tff(f155,plain,
( $less($sum(sK0,3),sK0)
| ~ spl2_3 ),
inference(resolution,[],[f28,f65]) ).
tff(f65,plain,
( $less($sum(sK0,3),sK1)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f63]) ).
tff(f63,plain,
( spl2_3
<=> $less($sum(sK0,3),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
tff(f28,plain,
! [X0: $int] :
( ~ $less(X0,sK1)
| $less(X0,sK0) ),
inference(resolution,[],[f9,f20]) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| $less(X0,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_148,[]) ).
tff(f72,plain,
( spl2_4
| spl2_3 ),
inference(avatar_split_clause,[],[f45,f63,f67]) ).
tff(f45,plain,
( $less($sum(sK0,3),sK1)
| ( $sum(sK0,3) = sK1 ) ),
inference(resolution,[],[f10,f21]) ).
tff(f21,plain,
~ $less(sK1,$sum(sK0,3)),
inference(cnf_transformation,[],[f19]) ).
tff(f10,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_149,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ARI570=1 : TPTP v8.1.0. Released v5.1.0.
% 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
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 15:57:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (16844)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.50 % (16838)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)
% 0.19/0.50 % (16852)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)
% 0.19/0.51 % (16851)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 % (16841)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.51 % (16844)Instruction limit reached!
% 0.19/0.51 % (16844)------------------------------
% 0.19/0.51 % (16844)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (16844)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (16844)Termination reason: Unknown
% 0.19/0.51 % (16844)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (16844)Memory used [KB]: 5500
% 0.19/0.51 % (16844)Time elapsed: 0.110 s
% 0.19/0.51 % (16844)Instructions burned: 8 (million)
% 0.19/0.51 % (16844)------------------------------
% 0.19/0.51 % (16844)------------------------------
% 0.19/0.51 % (16860)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)
% 0.19/0.51 % (16849)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.51 % (16861)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.19/0.51 % (16843)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)
% 0.19/0.51 % (16843)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.51 % (16843)Terminated due to inappropriate strategy.
% 0.19/0.51 % (16843)------------------------------
% 0.19/0.51 % (16843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (16843)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (16843)Termination reason: Inappropriate
% 0.19/0.51
% 0.19/0.51 % (16843)Memory used [KB]: 895
% 0.19/0.51 % (16843)Time elapsed: 0.001 s
% 0.19/0.51 % (16843)------------------------------
% 0.19/0.51 % (16843)------------------------------
% 0.19/0.51 % (16845)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.51 % (16845)Instruction limit reached!
% 0.19/0.51 % (16845)------------------------------
% 0.19/0.51 % (16845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (16837)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)
% 0.19/0.52 % (16845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (16845)Termination reason: Unknown
% 0.19/0.52 % (16845)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (16845)Memory used [KB]: 5373
% 0.19/0.52 % (16845)Time elapsed: 0.119 s
% 0.19/0.52 % (16845)Instructions burned: 2 (million)
% 0.19/0.52 % (16845)------------------------------
% 0.19/0.52 % (16845)------------------------------
% 0.19/0.52 % (16837)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.52 % (16837)Terminated due to inappropriate strategy.
% 0.19/0.52 % (16837)------------------------------
% 0.19/0.52 % (16837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (16837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (16837)Termination reason: Inappropriate
% 0.19/0.52
% 0.19/0.52 % (16837)Memory used [KB]: 895
% 0.19/0.52 % (16837)Time elapsed: 0.003 s
% 0.19/0.52 % (16837)Instructions burned: 1 (million)
% 0.19/0.52 % (16837)------------------------------
% 0.19/0.52 % (16837)------------------------------
% 0.19/0.52 % (16857)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)
% 0.19/0.52 % (16865)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 % (16859)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)
% 0.19/0.52 % (16839)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 % (16842)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 % (16840)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)
% 0.19/0.52 % (16864)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 % (16862)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.19/0.53 % (16855)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.53 % (16863)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)
% 0.19/0.53 % (16866)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)
% 0.19/0.53 % (16858)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.19/0.54 % (16847)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.54 % (16854)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.19/0.54 % (16856)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 % (16846)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)
% 0.19/0.54 % (16854)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.54 % (16854)Terminated due to inappropriate strategy.
% 0.19/0.54 % (16854)------------------------------
% 0.19/0.54 % (16854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (16854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (16854)Termination reason: Inappropriate
% 0.19/0.54
% 0.19/0.54 % (16854)Memory used [KB]: 895
% 0.19/0.54 % (16854)Time elapsed: 0.003 s
% 0.19/0.54 % (16854)Instructions burned: 1 (million)
% 0.19/0.54 % (16854)------------------------------
% 0.19/0.54 % (16854)------------------------------
% 0.19/0.54 % (16848)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)
% 0.19/0.54 % (16850)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 % (16866)First to succeed.
% 1.55/0.55 % (16853)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)
% 1.55/0.56 % (16866)Refutation found. Thanks to Tanya!
% 1.55/0.56 % SZS status Theorem for theBenchmark
% 1.55/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.55/0.56 % (16866)------------------------------
% 1.55/0.56 % (16866)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.56 % (16866)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.56 % (16866)Termination reason: Refutation
% 1.55/0.56
% 1.55/0.56 % (16866)Memory used [KB]: 5628
% 1.55/0.56 % (16866)Time elapsed: 0.149 s
% 1.55/0.56 % (16866)Instructions burned: 12 (million)
% 1.55/0.56 % (16866)------------------------------
% 1.55/0.56 % (16866)------------------------------
% 1.55/0.56 % (16836)Success in time 0.209 s
%------------------------------------------------------------------------------