TSTP Solution File: ARI580_1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI580_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 : n010.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 15:48:36 EDT 2022
% Result : Theorem 1.48s 0.54s
% Output : Refutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 4 unt; 1 typ; 0 def)
% Number of atoms : 44 ( 1 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 45 ( 21 ~; 21 |; 2 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 125 ( 42 atm; 27 fun; 25 num; 31 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 : 5 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 31 ( 27 !; 4 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $int ).
tff(f128,plain,
$false,
inference(subsumption_resolution,[],[f127,f8]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f127,plain,
$less(sK0,sK0),
inference(subsumption_resolution,[],[f115,f8]) ).
tff(f115,plain,
( $less($sum(3,sK0),$sum(3,sK0))
| $less(sK0,sK0) ),
inference(factoring,[],[f89]) ).
tff(f89,plain,
! [X2: $int,X3: $int] :
( $less($sum(3,sK0),X2)
| $less(X2,$sum(3,X3))
| $less(X3,sK0) ),
inference(evaluation,[],[f88]) ).
tff(f88,plain,
! [X2: $int,X3: $int] :
( $less(X2,$sum(2,$sum(X3,1)))
| $less($sum(3,sK0),X2)
| $less(X3,sK0) ),
inference(resolution,[],[f67,f12]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_152,[]) ).
tff(f67,plain,
! [X0: $int,X1: $int] :
( ~ $less(sK0,X1)
| $less($sum(3,sK0),X0)
| $less(X0,$sum(2,X1)) ),
inference(evaluation,[],[f62]) ).
tff(f62,plain,
! [X0: $int,X1: $int] :
( $less(X0,$sum($sum(X1,1),1))
| $less($sum(3,sK0),X0)
| ~ $less(sK0,X1) ),
inference(resolution,[],[f54,f12]) ).
tff(f54,plain,
! [X6: $int,X7: $int] :
( ~ $less($sum(X6,1),X7)
| $less($sum(3,sK0),X7)
| ~ $less(sK0,X6) ),
inference(resolution,[],[f9,f26]) ).
tff(f26,plain,
! [X1: $int] :
( $less($sum(3,sK0),$sum(X1,1))
| ~ $less(sK0,X1) ),
inference(resolution,[],[f12,f20]) ).
tff(f20,plain,
! [X1: $int] :
( ~ $less(X1,$sum(3,sK0))
| ~ $less(sK0,X1) ),
inference(backward_demodulation,[],[f18,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f18,plain,
! [X1: $int] :
( ~ $less(X1,$sum(sK0,3))
| ~ $less(sK0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
! [X1: $int] :
( ~ $less(sK0,X1)
| ~ $less(X1,$sum(sK0,3)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $int] :
! [X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,$sum(X0,3)) )
=> ! [X1: $int] :
( ~ $less(sK0,X1)
| ~ $less(X1,$sum(sK0,3)) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $int] :
! [X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,$sum(X0,3)) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
? [X1: $int] :
( $less(X1,$sum(X0,3))
& $less(X0,X1) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
? [X1: $int] :
( $less(X1,$sum(X0,3))
& $less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mix_quant_ineq_sys_solvable_1) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X2)
| $less(X0,X2) ),
introduced(theory_axiom_148,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ARI580=1 : TPTP v8.1.0. Released v5.1.0.
% 0.06/0.12 % 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 : n010.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 15:41:59 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.48 % (4563)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)
% 0.19/0.48 % (4573)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)
% 0.19/0.49 % (4584)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)
% 0.19/0.49 % (4566)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 % (4571)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 % (4581)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)
% 0.19/0.50 % (4566)Instruction limit reached!
% 0.19/0.50 % (4566)------------------------------
% 0.19/0.50 % (4566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (4566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (4566)Termination reason: Unknown
% 0.19/0.50 % (4566)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (4566)Memory used [KB]: 5373
% 0.19/0.50 % (4566)Time elapsed: 0.114 s
% 0.19/0.50 % (4566)Instructions burned: 2 (million)
% 0.19/0.50 % (4566)------------------------------
% 0.19/0.50 % (4566)------------------------------
% 1.34/0.52 % (4561)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)
% 1.34/0.52 % (4560)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)
% 1.34/0.52 % (4562)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.34/0.52 % (4559)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)
% 1.34/0.52 % (4565)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 1.34/0.52 % (4580)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)
% 1.34/0.52 % (4565)Instruction limit reached!
% 1.34/0.52 % (4565)------------------------------
% 1.34/0.52 % (4565)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.52 % (4565)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.52 % (4565)Termination reason: Unknown
% 1.34/0.52 % (4565)Termination phase: Saturation
% 1.34/0.52
% 1.34/0.52 % (4565)Memory used [KB]: 5500
% 1.34/0.52 % (4565)Time elapsed: 0.139 s
% 1.34/0.52 % (4565)Instructions burned: 9 (million)
% 1.34/0.52 % (4565)------------------------------
% 1.34/0.52 % (4565)------------------------------
% 1.34/0.52 % (4579)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 1.34/0.52 % (4574)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)
% 1.34/0.52 % (4575)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 1.34/0.53 % (4572)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)
% 1.34/0.53 % (4578)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)
% 1.48/0.53 % (4569)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)
% 1.48/0.53 % (4568)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.48/0.53 % (4587)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)
% 1.48/0.53 % (4570)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 1.48/0.53 % (4585)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)
% 1.48/0.53 % (4586)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 1.48/0.53 % (4583)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 1.48/0.53 % (4564)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)
% 1.48/0.53 % (4576)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.48/0.53 % (4567)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)
% 1.48/0.54 % (4558)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)
% 1.48/0.54 % (4558)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.48/0.54 % (4558)Terminated due to inappropriate strategy.
% 1.48/0.54 % (4558)------------------------------
% 1.48/0.54 % (4558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.54 % (4558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.54 % (4558)Termination reason: Inappropriate
% 1.48/0.54
% 1.48/0.54 % (4558)Memory used [KB]: 895
% 1.48/0.54 % (4558)Time elapsed: 0.001 s
% 1.48/0.54 % (4558)------------------------------
% 1.48/0.54 % (4558)------------------------------
% 1.48/0.54 % (4582)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 1.48/0.54 % (4577)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)
% 1.48/0.54 % (4580)First to succeed.
% 1.48/0.54 % (4564)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.48/0.54 % (4564)Terminated due to inappropriate strategy.
% 1.48/0.54 % (4564)------------------------------
% 1.48/0.54 % (4564)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.54 % (4564)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.54 % (4564)Termination reason: Inappropriate
% 1.48/0.54
% 1.48/0.54 % (4564)Memory used [KB]: 895
% 1.48/0.54 % (4564)Time elapsed: 0.002 s
% 1.48/0.54 % (4564)Instructions burned: 1 (million)
% 1.48/0.54 % (4564)------------------------------
% 1.48/0.54 % (4564)------------------------------
% 1.48/0.54 % (4580)Refutation found. Thanks to Tanya!
% 1.48/0.54 % SZS status Theorem for theBenchmark
% 1.48/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.48/0.54 % (4580)------------------------------
% 1.48/0.54 % (4580)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.54 % (4580)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.54 % (4580)Termination reason: Refutation
% 1.48/0.54
% 1.48/0.54 % (4580)Memory used [KB]: 1023
% 1.48/0.54 % (4580)Time elapsed: 0.114 s
% 1.48/0.54 % (4580)Instructions burned: 7 (million)
% 1.48/0.54 % (4580)------------------------------
% 1.48/0.54 % (4580)------------------------------
% 1.48/0.54 % (4557)Success in time 0.202 s
%------------------------------------------------------------------------------