TSTP Solution File: ARI734_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI734_1 : TPTP v8.1.0. Released v6.4.0.
% 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 : n006.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 15:49:07 EDT 2022
% Result : Theorem 0.20s 0.59s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 36 ( 6 unt; 1 typ; 0 def)
% Number of atoms : 122 ( 92 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 158 ( 71 ~; 50 |; 24 &)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 278 ( 7 atm; 100 fun; 125 num; 46 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 1 usr; 5 con; 0-2 aty)
% Number of variables : 46 ( 35 !; 11 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $int ).
tff(f241,plain,
$false,
inference(avatar_sat_refutation,[],[f58,f59,f106,f229]) ).
tff(f229,plain,
spl1_2,
inference(avatar_contradiction_clause,[],[f228]) ).
tff(f228,plain,
( $false
| spl1_2 ),
inference(evaluation,[],[f225]) ).
tff(f225,plain,
( ( $product(2,$sum($sum(-1,sK0),1)) != $product(2,sK0) )
| spl1_2 ),
inference(backward_demodulation,[],[f181,f210]) ).
tff(f210,plain,
! [X0: $int,X1: $int] : ( $sum($product(X0,X1),X0) = $product(X0,$sum(X1,1)) ),
inference(superposition,[],[f19,f17]) ).
tff(f17,plain,
! [X0: $int] : ( $product(X0,1) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f19,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
introduced(theory_axiom_155,[]) ).
tff(f181,plain,
( ( $product(2,sK0) != $sum($product(2,$sum(-1,sK0)),2) )
| spl1_2 ),
inference(superposition,[],[f52,f4]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f52,plain,
( ( $sum($product(2,$sum(sK0,-1)),2) != $product(2,sK0) )
| spl1_2 ),
inference(avatar_component_clause,[],[f50]) ).
tff(f50,plain,
( spl1_2
<=> ( $sum($product(2,$sum(sK0,-1)),2) = $product(2,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f106,plain,
( spl1_1
| ~ spl1_3 ),
inference(avatar_contradiction_clause,[],[f105]) ).
tff(f105,plain,
( $false
| spl1_1
| ~ spl1_3 ),
inference(evaluation,[],[f100]) ).
tff(f100,plain,
( ( 0 != $product(2,0) )
| spl1_1
| ~ spl1_3 ),
inference(backward_demodulation,[],[f48,f56]) ).
tff(f56,plain,
( ( 0 = sK0 )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f55]) ).
tff(f55,plain,
( spl1_3
<=> ( 0 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f48,plain,
( ( 0 != $product(2,sK0) )
| spl1_1 ),
inference(avatar_component_clause,[],[f46]) ).
tff(f46,plain,
( spl1_1
<=> ( 0 = $product(2,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f59,plain,
( ~ spl1_2
| spl1_3 ),
inference(avatar_split_clause,[],[f43,f55,f50]) ).
tff(f43,plain,
( ( 0 = sK0 )
| ( $sum($product(2,$sum(sK0,-1)),2) != $product(2,sK0) ) ),
inference(evaluation,[],[f42]) ).
tff(f42,plain,
( ( 0 = sK0 )
| ( $product(2,sK0) != $sum($product(2,$sum(sK0,$uminus(1))),2) ) ),
inference(equality_resolution,[],[f41]) ).
tff(f41,plain,
! [X3: $int] :
( ( 0 = sK0 )
| ( $sum($product(2,X3),2) != $product(2,sK0) )
| ( $sum(sK0,$uminus(1)) != X3 ) ),
inference(equality_resolution,[],[f40]) ).
tff(f40,plain,
! [X2: $int,X3: $int] :
( ( 0 = sK0 )
| ( $sum(X2,2) != $product(2,sK0) )
| ( $product(2,X3) != X2 )
| ( $sum(sK0,$uminus(1)) != X3 ) ),
inference(equality_resolution,[],[f26]) ).
tff(f26,plain,
! [X2: $int,X3: $int,X1: $int] :
( ( $product(2,sK0) != X1 )
| ( 0 = sK0 )
| ( $sum(X2,2) != X1 )
| ( $product(2,X3) != X2 )
| ( $sum(sK0,$uminus(1)) != X3 ) ),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
( ! [X1: $int] :
( ( $product(2,sK0) != X1 )
| ! [X2: $int] :
( ( ( 0 != X1 )
& ( 0 = sK0 ) )
| ( ( 0 != sK0 )
& ( $sum(X2,2) != X1 ) )
| ! [X3: $int] :
( ( $product(2,X3) != X2 )
| ( $sum(sK0,$uminus(1)) != X3 ) ) ) )
& ~ $less(sK0,0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f22,f23]) ).
tff(f23,plain,
( ? [X0: $int] :
( ! [X1: $int] :
( ( $product(2,X0) != X1 )
| ! [X2: $int] :
( ( ( 0 != X1 )
& ( 0 = X0 ) )
| ( ( 0 != X0 )
& ( $sum(X2,2) != X1 ) )
| ! [X3: $int] :
( ( $product(2,X3) != X2 )
| ( $sum(X0,$uminus(1)) != X3 ) ) ) )
& ~ $less(X0,0) )
=> ( ! [X1: $int] :
( ( $product(2,sK0) != X1 )
| ! [X2: $int] :
( ( ( 0 != X1 )
& ( 0 = sK0 ) )
| ( ( 0 != sK0 )
& ( $sum(X2,2) != X1 ) )
| ! [X3: $int] :
( ( $product(2,X3) != X2 )
| ( $sum(sK0,$uminus(1)) != X3 ) ) ) )
& ~ $less(sK0,0) ) ),
introduced(choice_axiom,[]) ).
tff(f22,plain,
? [X0: $int] :
( ! [X1: $int] :
( ( $product(2,X0) != X1 )
| ! [X2: $int] :
( ( ( 0 != X1 )
& ( 0 = X0 ) )
| ( ( 0 != X0 )
& ( $sum(X2,2) != X1 ) )
| ! [X3: $int] :
( ( $product(2,X3) != X2 )
| ( $sum(X0,$uminus(1)) != X3 ) ) ) )
& ~ $less(X0,0) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $int] :
( ~ $less(X0,0)
=> ? [X1: $int] :
( ? [X2: $int] :
( ( ( 0 = X0 )
=> ( 0 = X1 ) )
& ( ( 0 != X0 )
=> ( $sum(X2,2) = X1 ) )
& ? [X3: $int] :
( ( $sum(X0,$uminus(1)) = X3 )
& ( $product(2,X3) = X2 ) ) )
& ( $product(2,X0) = X1 ) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( $greatereq(X0,0)
=> ? [X1: $int] :
( ? [X2: $int] :
( ( ( 0 = X0 )
=> ( 0 = X1 ) )
& ( ( 0 != X0 )
=> ( $sum(X2,2) = X1 ) )
& ? [X3: $int] :
( ( $difference(X0,1) = X3 )
& ( $product(2,X3) = X2 ) ) )
& ( $product(2,X0) = X1 ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
( $greatereq(X0,0)
=> ? [X1: $int] :
( ? [X2: $int] :
( ( ( 0 = X0 )
=> ( 0 = X1 ) )
& ( ( 0 != X0 )
=> ( $sum(X2,2) = X1 ) )
& ? [X3: $int] :
( ( $difference(X0,1) = X3 )
& ( $product(2,X3) = X2 ) ) )
& ( $product(2,X0) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula) ).
tff(f58,plain,
( ~ spl1_1
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f33,f55,f46]) ).
tff(f33,plain,
( ( 0 != sK0 )
| ( 0 != $product(2,sK0) ) ),
inference(equality_resolution,[],[f32]) ).
tff(f32,plain,
! [X3: $int] :
( ( 0 != $product(2,sK0) )
| ( 0 != sK0 )
| ( $sum(sK0,$uminus(1)) != X3 ) ),
inference(equality_resolution,[],[f31]) ).
tff(f31,plain,
! [X2: $int,X3: $int] :
( ( 0 != $product(2,sK0) )
| ( 0 != sK0 )
| ( $product(2,X3) != X2 )
| ( $sum(sK0,$uminus(1)) != X3 ) ),
inference(equality_resolution,[],[f29]) ).
tff(f29,plain,
! [X2: $int,X3: $int,X1: $int] :
( ( $product(2,sK0) != X1 )
| ( 0 != X1 )
| ( 0 != sK0 )
| ( $product(2,X3) != X2 )
| ( $sum(sK0,$uminus(1)) != X3 ) ),
inference(cnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI734=1 : TPTP v8.1.0. Released v6.4.0.
% 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
% 0.12/0.34 % Computer : n006.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 16:22:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.51 % (31810)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)
% 0.20/0.52 % (31802)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 % (31794)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)
% 0.20/0.52 % (31789)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)
% 0.20/0.52 % (31794)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.52 % (31794)Terminated due to inappropriate strategy.
% 0.20/0.52 % (31794)------------------------------
% 0.20/0.52 % (31794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (31794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (31794)Termination reason: Inappropriate
% 0.20/0.52
% 0.20/0.52 % (31794)Memory used [KB]: 895
% 0.20/0.52 % (31794)Time elapsed: 0.004 s
% 0.20/0.52 % (31794)Instructions burned: 1 (million)
% 0.20/0.52 % (31794)------------------------------
% 0.20/0.52 % (31794)------------------------------
% 0.20/0.52 % (31790)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 % (31791)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 % (31800)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.53 % (31801)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.53 % (31792)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.54 % (31793)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)
% 0.20/0.54 % (31812)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 % (31805)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.20/0.54 % (31807)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 % (31796)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 % (31796)Instruction limit reached!
% 0.20/0.54 % (31796)------------------------------
% 0.20/0.54 % (31796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (31814)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)
% 0.20/0.54 % (31796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (31796)Termination reason: Unknown
% 0.20/0.54 % (31796)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (31796)Memory used [KB]: 5373
% 0.20/0.54 % (31796)Time elapsed: 0.004 s
% 0.20/0.54 % (31796)Instructions burned: 3 (million)
% 0.20/0.54 % (31796)------------------------------
% 0.20/0.54 % (31796)------------------------------
% 0.20/0.54 % (31797)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)
% 0.20/0.54 % (31816)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.20/0.55 % (31817)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)
% 0.20/0.55 % (31799)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)
% 0.20/0.55 % (31813)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.20/0.55 % (31809)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.20/0.56 % (31806)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.56 % (31815)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)
% 0.20/0.56 % (31805)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.56 % (31805)Terminated due to inappropriate strategy.
% 0.20/0.56 % (31805)------------------------------
% 0.20/0.56 % (31805)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (31805)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (31805)Termination reason: Inappropriate
% 0.20/0.56
% 0.20/0.56 % (31805)Memory used [KB]: 895
% 0.20/0.56 % (31805)Time elapsed: 0.003 s
% 0.20/0.56 % (31805)Instructions burned: 2 (million)
% 0.20/0.56 % (31805)------------------------------
% 0.20/0.56 % (31805)------------------------------
% 0.20/0.56 % (31798)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.56 % (31808)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)
% 0.20/0.57 % (31795)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.57 % (31788)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)
% 0.20/0.57 % (31817)First to succeed.
% 0.20/0.57 % (31803)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)
% 0.20/0.57 % (31811)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)
% 0.20/0.58 % (31795)Instruction limit reached!
% 0.20/0.58 % (31795)------------------------------
% 0.20/0.58 % (31795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (31788)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.58 % (31804)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)
% 0.20/0.59 % (31788)Terminated due to inappropriate strategy.
% 0.20/0.59 % (31788)------------------------------
% 0.20/0.59 % (31788)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (31788)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (31788)Termination reason: Inappropriate
% 0.20/0.59
% 0.20/0.59 % (31788)Memory used [KB]: 895
% 0.20/0.59 % (31788)Time elapsed: 0.005 s
% 0.20/0.59 % (31788)Instructions burned: 2 (million)
% 0.20/0.59 % (31788)------------------------------
% 0.20/0.59 % (31788)------------------------------
% 0.20/0.59 % (31817)Refutation found. Thanks to Tanya!
% 0.20/0.59 % SZS status Theorem for theBenchmark
% 0.20/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.59 % (31817)------------------------------
% 0.20/0.59 % (31817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (31817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (31817)Termination reason: Refutation
% 0.20/0.59
% 0.20/0.59 % (31817)Memory used [KB]: 5500
% 0.20/0.59 % (31817)Time elapsed: 0.183 s
% 0.20/0.59 % (31817)Instructions burned: 9 (million)
% 0.20/0.59 % (31817)------------------------------
% 0.20/0.59 % (31817)------------------------------
% 0.20/0.59 % (31786)Success in time 0.235 s
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