TSTP Solution File: ARI585_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI585_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 : n005.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 1.66s 0.56s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 8 unt; 2 typ; 0 def)
% Number of atoms : 58 ( 1 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 66 ( 29 ~; 15 |; 18 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 179 ( 56 atm; 44 fun; 42 num; 37 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 2 usr; 5 con; 0-2 aty)
% Number of variables : 37 ( 27 !; 10 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $int ).
tff(func_def_8,type,
sK1: $int > $int ).
tff(f443,plain,
$false,
inference(evaluation,[],[f440]) ).
tff(f440,plain,
~ $less(8,9),
inference(resolution,[],[f432,f11]) ).
tff(f11,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_150,[]) ).
tff(f432,plain,
~ $less($sum(8,sK0),$sum(9,sK0)),
inference(resolution,[],[f402,f23]) ).
tff(f23,plain,
! [X1: $int] : $less(sK1(X1),$sum(8,sK0)),
inference(backward_demodulation,[],[f20,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f20,plain,
! [X1: $int] : $less(sK1(X1),$sum(sK0,8)),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
! [X1: $int] :
( $less($sum(sK0,5),sK1(X1))
& ( ~ $less(X1,sK1(X1))
| ~ $less(sK1(X1),$sum(X1,4)) )
& $less(sK1(X1),$sum(sK0,8)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f16,f18,f17]) ).
tff(f17,plain,
( ? [X0: $int] :
! [X1: $int] :
? [X2: $int] :
( $less($sum(X0,5),X2)
& ( ~ $less(X1,X2)
| ~ $less(X2,$sum(X1,4)) )
& $less(X2,$sum(X0,8)) )
=> ! [X1: $int] :
? [X2: $int] :
( $less($sum(sK0,5),X2)
& ( ~ $less(X1,X2)
| ~ $less(X2,$sum(X1,4)) )
& $less(X2,$sum(sK0,8)) ) ),
introduced(choice_axiom,[]) ).
tff(f18,plain,
! [X1: $int] :
( ? [X2: $int] :
( $less($sum(sK0,5),X2)
& ( ~ $less(X1,X2)
| ~ $less(X2,$sum(X1,4)) )
& $less(X2,$sum(sK0,8)) )
=> ( $less($sum(sK0,5),sK1(X1))
& ( ~ $less(X1,sK1(X1))
| ~ $less(sK1(X1),$sum(X1,4)) )
& $less(sK1(X1),$sum(sK0,8)) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: $int] :
! [X1: $int] :
? [X2: $int] :
( $less($sum(X0,5),X2)
& ( ~ $less(X1,X2)
| ~ $less(X2,$sum(X1,4)) )
& $less(X2,$sum(X0,8)) ),
inference(flattening,[],[f15]) ).
tff(f15,plain,
? [X0: $int] :
! [X1: $int] :
? [X2: $int] :
( ( ~ $less(X1,X2)
| ~ $less(X2,$sum(X1,4)) )
& $less($sum(X0,5),X2)
& $less(X2,$sum(X0,8)) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
? [X1: $int] :
! [X2: $int] :
( ( $less($sum(X0,5),X2)
& $less(X2,$sum(X0,8)) )
=> ( $less(X1,X2)
& $less(X2,$sum(X1,4)) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
? [X1: $int] :
! [X2: $int] :
( ( $less($sum(X0,5),X2)
& $less(X2,$sum(X0,8)) )
=> ( $less(X1,X2)
& $less(X2,$sum(X1,4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',interv_4_can_cover_interv_3) ).
tff(f402,plain,
! [X5: $int] :
( ~ $less(sK1($sum(5,sK0)),X5)
| ~ $less(X5,$sum(9,sK0)) ),
inference(evaluation,[],[f387]) ).
tff(f387,plain,
! [X5: $int] :
( ~ $less(X5,$sum($sum(5,sK0),4))
| ~ $less(sK1($sum(5,sK0)),X5) ),
inference(resolution,[],[f129,f24]) ).
tff(f24,plain,
! [X1: $int] : $less($sum(5,sK0),sK1(X1)),
inference(backward_demodulation,[],[f22,f3]) ).
tff(f22,plain,
! [X1: $int] : $less($sum(sK0,5),sK1(X1)),
inference(cnf_transformation,[],[f19]) ).
tff(f129,plain,
! [X14: $int,X15: $int] :
( ~ $less(X15,sK1(X15))
| ~ $less(X14,$sum(X15,4))
| ~ $less(sK1(X15),X14) ),
inference(resolution,[],[f9,f21]) ).
tff(f21,plain,
! [X1: $int] :
( ~ $less(sK1(X1),$sum(X1,4))
| ~ $less(X1,sK1(X1)) ),
inference(cnf_transformation,[],[f19]) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X2)
| ~ $less(X1,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_148,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ARI585=1 : TPTP v8.1.0. Released v5.1.0.
% 0.03/0.13 % 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 : n005.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 15:49:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (32319)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.49 % (32317)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.49 % (32309)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 % (32311)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.50 % (32307)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 % (32307)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.50 % (32307)Terminated due to inappropriate strategy.
% 0.19/0.50 % (32307)------------------------------
% 0.19/0.50 % (32307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (32307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (32307)Termination reason: Inappropriate
% 0.19/0.50
% 0.19/0.50 % (32307)Memory used [KB]: 895
% 0.19/0.50 % (32307)Time elapsed: 0.002 s
% 0.19/0.50 % (32307)Instructions burned: 1 (million)
% 0.19/0.50 % (32307)------------------------------
% 0.19/0.50 % (32307)------------------------------
% 0.19/0.50 % (32313)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)
% 0.19/0.50 % (32313)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.50 % (32313)Terminated due to inappropriate strategy.
% 0.19/0.50 % (32313)------------------------------
% 0.19/0.50 % (32313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (32313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (32313)Termination reason: Inappropriate
% 0.19/0.50
% 0.19/0.50 % (32313)Memory used [KB]: 895
% 0.19/0.50 % (32313)Time elapsed: 0.001 s
% 0.19/0.50 % (32313)------------------------------
% 0.19/0.50 % (32313)------------------------------
% 0.19/0.50 % (32312)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)
% 0.19/0.51 % (32328)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.19/0.51 % (32316)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)
% 0.19/0.51 % (32318)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)
% 0.19/0.51 % (32324)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.19/0.51 % (32324)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.51 % (32324)Terminated due to inappropriate strategy.
% 0.19/0.51 % (32324)------------------------------
% 0.19/0.51 % (32324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (32324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (32324)Termination reason: Inappropriate
% 0.19/0.51
% 0.19/0.51 % (32324)Memory used [KB]: 895
% 0.19/0.51 % (32324)Time elapsed: 0.003 s
% 0.19/0.51 % (32324)Instructions burned: 1 (million)
% 0.19/0.51 % (32324)------------------------------
% 0.19/0.51 % (32324)------------------------------
% 0.19/0.51 % (32336)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)
% 0.19/0.51 % (32335)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.19/0.51 % (32331)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 % (32314)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.51 % (32327)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)
% 0.19/0.51 % (32321)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)
% 0.19/0.52 % (32332)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.19/0.52 % (32334)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)
% 0.19/0.52 % (32320)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.53 % (32322)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)
% 0.19/0.53 % (32309)Instruction limit reached!
% 0.19/0.53 % (32309)------------------------------
% 0.19/0.53 % (32309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (32308)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)
% 0.19/0.53 % (32310)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)
% 0.19/0.53 % (32326)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)
% 0.19/0.53 % (32333)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)
% 0.19/0.54 % (32329)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)
% 0.19/0.54 % (32309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (32309)Termination reason: Unknown
% 0.19/0.54 % (32309)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (32309)Memory used [KB]: 1407
% 0.19/0.54 % (32309)Time elapsed: 0.123 s
% 0.19/0.54 % (32330)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)
% 0.19/0.54 % (32309)Instructions burned: 37 (million)
% 0.19/0.54 % (32309)------------------------------
% 0.19/0.54 % (32309)------------------------------
% 0.19/0.54 % (32314)Instruction limit reached!
% 0.19/0.54 % (32314)------------------------------
% 0.19/0.54 % (32314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (32314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (32314)Termination reason: Unknown
% 0.19/0.54 % (32314)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (32314)Memory used [KB]: 5500
% 0.19/0.54 % (32314)Time elapsed: 0.119 s
% 0.19/0.54 % (32314)Instructions burned: 7 (million)
% 0.19/0.54 % (32314)------------------------------
% 0.19/0.54 % (32314)------------------------------
% 0.19/0.55 % (32315)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.55 % (32323)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)
% 0.19/0.55 % (32325)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.55 % (32315)Instruction limit reached!
% 0.19/0.55 % (32315)------------------------------
% 0.19/0.55 % (32315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (32315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (32315)Termination reason: Unknown
% 0.19/0.55 % (32315)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (32315)Memory used [KB]: 5373
% 0.19/0.55 % (32315)Time elapsed: 0.154 s
% 0.19/0.55 % (32315)Instructions burned: 2 (million)
% 0.19/0.55 % (32315)------------------------------
% 0.19/0.55 % (32315)------------------------------
% 1.66/0.56 % (32316)First to succeed.
% 1.66/0.56 % (32316)Refutation found. Thanks to Tanya!
% 1.66/0.56 % SZS status Theorem for theBenchmark
% 1.66/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.66/0.56 % (32316)------------------------------
% 1.66/0.56 % (32316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.56 % (32316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.56 % (32316)Termination reason: Refutation
% 1.66/0.56
% 1.66/0.56 % (32316)Memory used [KB]: 1279
% 1.66/0.56 % (32316)Time elapsed: 0.172 s
% 1.66/0.56 % (32316)Instructions burned: 27 (million)
% 1.66/0.56 % (32316)------------------------------
% 1.66/0.56 % (32316)------------------------------
% 1.66/0.56 % (32304)Success in time 0.212 s
%------------------------------------------------------------------------------