TSTP Solution File: ARI581_1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI581_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 15:48:37 EDT 2022
% Result : Theorem 1.57s 0.59s
% Output : Refutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 34 ( 15 unt; 1 typ; 0 def)
% Number of atoms : 63 ( 16 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 54 ( 24 ~; 21 |; 6 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 190 ( 46 atm; 41 fun; 68 num; 35 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 : 10 ( 1 usr; 8 con; 0-2 aty)
% Number of variables : 35 ( 31 !; 4 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $int ).
tff(f565,plain,
$false,
inference(evaluation,[],[f562]) ).
tff(f562,plain,
( ( 3 = $sum(-6,$sum(7,1)) )
| $less(3,$sum(-6,$sum(7,1))) ),
inference(resolution,[],[f291,f38]) ).
tff(f38,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(f12,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
tff(f291,plain,
! [X14: $int] :
( ~ $less(7,X14)
| ( 3 = $sum(-6,X14) )
| $less(3,$sum(-6,X14)) ),
inference(evaluation,[],[f287]) ).
tff(f287,plain,
! [X14: $int] :
( ( 3 = $sum($uminus(6),X14) )
| $less(3,$sum($uminus(6),X14))
| ~ $less(7,X14) ),
inference(superposition,[],[f129,f208]) ).
tff(f208,plain,
! [X2: $int,X3: $int] : ( $sum(X2,$sum($uminus(X2),X3)) = X3 ),
inference(forward_demodulation,[],[f188,f29]) ).
tff(f29,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(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f188,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(f129,plain,
! [X1: $int] :
( ~ $less(7,$sum(6,X1))
| ( 3 = X1 )
| $less(3,X1) ),
inference(resolution,[],[f108,f10]) ).
tff(f10,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_149,[]) ).
tff(f108,plain,
! [X1: $int] :
( ~ $less(X1,3)
| ~ $less(7,$sum(6,X1)) ),
inference(backward_demodulation,[],[f18,f107]) ).
tff(f107,plain,
sK0 = 6,
inference(subsumption_resolution,[],[f106,f42]) ).
tff(f42,plain,
$less(sK0,7),
inference(evaluation,[],[f37]) ).
tff(f37,plain,
( ~ $less(1,3)
| $less(sK0,7) ),
inference(resolution,[],[f12,f18]) ).
tff(f106,plain,
( ( sK0 = 6 )
| ~ $less(sK0,7) ),
inference(evaluation,[],[f105]) ).
tff(f105,plain,
( ~ $less(sK0,$sum(6,1))
| ( sK0 = 6 ) ),
inference(resolution,[],[f78,f14]) ).
tff(f14,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_166,[]) ).
tff(f78,plain,
( $less(6,sK0)
| ( sK0 = 6 ) ),
inference(resolution,[],[f59,f10]) ).
tff(f59,plain,
~ $less(sK0,6),
inference(evaluation,[],[f55]) ).
tff(f55,plain,
~ $less(sK0,$sum(5,1)),
inference(resolution,[],[f14,f19]) ).
tff(f19,plain,
$less(5,sK0),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( $less(5,sK0)
& ! [X1: $int] :
( ~ $less(X1,3)
| ~ $less(7,$sum(sK0,X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $int] :
( $less(5,X0)
& ! [X1: $int] :
( ~ $less(X1,3)
| ~ $less(7,$sum(X0,X1)) ) )
=> ( $less(5,sK0)
& ! [X1: $int] :
( ~ $less(X1,3)
| ~ $less(7,$sum(sK0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $int] :
( $less(5,X0)
& ! [X1: $int] :
( ~ $less(X1,3)
| ~ $less(7,$sum(X0,X1)) ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( $less(5,X0)
=> ? [X1: $int] :
( $less(7,$sum(X0,X1))
& $less(X1,3) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
( $less(5,X0)
=> ? [X1: $int] :
( $less(7,$sum(X0,X1))
& $less(X1,3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mix_quant_ineq_sys_solvable_2) ).
tff(f18,plain,
! [X1: $int] :
( ~ $less(7,$sum(sK0,X1))
| ~ $less(X1,3) ),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ARI581=1 : TPTP v8.1.0. Released v5.1.0.
% 0.06/0.13 % 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 15:46:01 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (18766)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.49 % (18782)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)
% 0.19/0.49 % (18783)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.19/0.50 % (18774)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)
% 0.19/0.50 % (18759)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)
% 0.19/0.50 % (18767)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.50 % (18759)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.50 % (18759)Terminated due to inappropriate strategy.
% 0.19/0.50 % (18759)------------------------------
% 0.19/0.50 % (18759)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (18759)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (18759)Termination reason: Inappropriate
% 0.19/0.50
% 0.19/0.50 % (18759)Memory used [KB]: 895
% 0.19/0.50 % (18759)Time elapsed: 0.003 s
% 0.19/0.50 % (18759)Instructions burned: 1 (million)
% 0.19/0.50 % (18759)------------------------------
% 0.19/0.50 % (18759)------------------------------
% 0.19/0.50 % (18771)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 % (18769)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.50 % (18766)Instruction limit reached!
% 0.19/0.50 % (18766)------------------------------
% 0.19/0.50 % (18766)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (18772)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.50 % (18767)Instruction limit reached!
% 0.19/0.50 % (18767)------------------------------
% 0.19/0.50 % (18767)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (18767)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (18767)Termination reason: Unknown
% 0.19/0.50 % (18767)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (18767)Memory used [KB]: 5373
% 0.19/0.50 % (18767)Time elapsed: 0.003 s
% 0.19/0.50 % (18767)Instructions burned: 2 (million)
% 0.19/0.50 % (18767)------------------------------
% 0.19/0.50 % (18767)------------------------------
% 0.19/0.51 % (18766)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (18766)Termination reason: Unknown
% 0.19/0.51 % (18766)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (18766)Memory used [KB]: 5500
% 0.19/0.51 % (18766)Time elapsed: 0.098 s
% 0.19/0.51 % (18766)Instructions burned: 7 (million)
% 0.19/0.51 % (18766)------------------------------
% 0.19/0.51 % (18766)------------------------------
% 0.19/0.52 % (18763)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 % (18787)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 % (18761)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 % (18760)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)
% 1.42/0.52 % (18768)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)
% 1.42/0.52 % (18764)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)
% 1.42/0.52 % (18770)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)
% 1.42/0.53 % (18773)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)
% 1.42/0.53 % (18765)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)
% 1.42/0.53 % (18765)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.42/0.53 % (18765)Terminated due to inappropriate strategy.
% 1.42/0.53 % (18765)------------------------------
% 1.42/0.53 % (18765)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.53 % (18765)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.53 % (18765)Termination reason: Inappropriate
% 1.42/0.53
% 1.42/0.53 % (18765)Memory used [KB]: 895
% 1.42/0.53 % (18765)Time elapsed: 0.003 s
% 1.42/0.53 % (18765)Instructions burned: 2 (million)
% 1.42/0.53 % (18765)------------------------------
% 1.42/0.53 % (18765)------------------------------
% 1.42/0.53 % (18788)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)
% 1.42/0.53 % (18785)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)
% 1.42/0.53 % (18775)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)
% 1.42/0.53 % (18784)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 1.42/0.53 % (18786)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)
% 1.42/0.53 % (18781)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)
% 1.42/0.54 % (18762)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)
% 1.42/0.54 % (18779)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)
% 1.42/0.54 % (18780)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 1.57/0.54 % (18777)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.57/0.55 % (18776)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 1.57/0.55 % (18776)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.57/0.55 % (18776)Terminated due to inappropriate strategy.
% 1.57/0.55 % (18776)------------------------------
% 1.57/0.55 % (18776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.55 % (18776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.55 % (18776)Termination reason: Inappropriate
% 1.57/0.55
% 1.57/0.55 % (18776)Memory used [KB]: 895
% 1.57/0.55 % (18776)Time elapsed: 0.002 s
% 1.57/0.55 % (18776)Instructions burned: 1 (million)
% 1.57/0.55 % (18776)------------------------------
% 1.57/0.55 % (18776)------------------------------
% 1.57/0.55 % (18778)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)
% 1.57/0.59 % (18786)First to succeed.
% 1.57/0.59 % (18786)Refutation found. Thanks to Tanya!
% 1.57/0.59 % SZS status Theorem for theBenchmark
% 1.57/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.59 % (18786)------------------------------
% 1.57/0.59 % (18786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.59 % (18786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.59 % (18786)Termination reason: Refutation
% 1.57/0.59
% 1.57/0.59 % (18786)Memory used [KB]: 1279
% 1.57/0.59 % (18786)Time elapsed: 0.201 s
% 1.57/0.59 % (18786)Instructions burned: 30 (million)
% 1.57/0.59 % (18786)------------------------------
% 1.57/0.59 % (18786)------------------------------
% 1.57/0.59 % (18758)Success in time 0.241 s
%------------------------------------------------------------------------------