TSTP Solution File: ARI594_1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI594_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 : n003.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 15:48:39 EDT 2022
% Result : Theorem 1.60s 0.60s
% Output : Refutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 11 unt; 4 typ; 0 def)
% Number of atoms : 39 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 31 ( 11 ~; 9 |; 5 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 100 ( 16 atm; 26 fun; 33 num; 25 var)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 8 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 0 usr; 5 con; 0-2 aty)
% Number of variables : 25 ( 22 !; 3 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_1,type,
p: $int > $o ).
tff(pred_def_4,type,
sQ0_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_5,type,
sQ1_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_6,type,
sQ2_eqProxy: ( $real * $real ) > $o ).
tff(f1040,plain,
$false,
inference(evaluation,[],[f1039]) ).
tff(f1039,plain,
( $less(6,5)
| $less(7,6) ),
inference(resolution,[],[f1037,f28]) ).
tff(f28,plain,
! [X0: $int] :
( p(X0)
| $less(7,X0)
| $less(X0,5) ),
inference(literal_reordering,[],[f25]) ).
tff(f25,plain,
! [X0: $int] :
( $less(7,X0)
| p(X0)
| $less(X0,5) ),
inference(cnf_transformation,[],[f23]) ).
tff(f23,plain,
( ! [X0: $int] :
( $less(X0,5)
| $less(7,X0)
| p(X0) )
& ! [X1: $int] : ~ p($product(3,X1)) ),
inference(flattening,[],[f22]) ).
tff(f22,plain,
( ! [X1: $int] : ~ p($product(3,X1))
& ! [X0: $int] :
( p(X0)
| $less(X0,5)
| $less(7,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ( ! [X0: $int] :
( ( ~ $less(X0,5)
& ~ $less(7,X0) )
=> p(X0) )
=> ? [X1: $int] : p($product(3,X1)) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ! [X0: $int] :
( ( $lesseq(X0,7)
& $lesseq(5,X0) )
=> p(X0) )
=> ? [X1: $int] : p($product(3,X1)) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ! [X0: $int] :
( ( $lesseq(X0,7)
& $lesseq(5,X0) )
=> p(X0) )
=> ? [X1: $int] : p($product(3,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exists_X_in_5_to_7_div_3) ).
tff(f1037,plain,
~ p(6),
inference(evaluation,[],[f1034]) ).
tff(f1034,plain,
~ p($sum(3,3)),
inference(superposition,[],[f1004,f38]) ).
tff(f38,plain,
! [X0: $int] : ( $product(X0,1) = X0 ),
inference(literal_reordering,[],[f17]) ).
tff(f17,plain,
! [X0: $int] : ( $product(X0,1) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f1004,plain,
! [X34: $int] : ~ p($sum(3,$product(3,X34))),
inference(superposition,[],[f30,f179]) ).
tff(f179,plain,
! [X0: $int,X1: $int] : ( $sum(X0,$product(X0,X1)) = $product(X0,$sum(1,X1)) ),
inference(superposition,[],[f37,f38]) ).
tff(f37,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($product(X0,X1),$product(X0,X2)) = $product(X0,$sum(X1,X2)) ),
inference(literal_reordering,[],[f19]) ).
tff(f19,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($product(X0,X1),$product(X0,X2)) = $product(X0,$sum(X1,X2)) ),
introduced(theory_axiom_155,[]) ).
tff(f30,plain,
! [X1: $int] : ~ p($product(3,X1)),
inference(literal_reordering,[],[f24]) ).
tff(f24,plain,
! [X1: $int] : ~ p($product(3,X1)),
inference(cnf_transformation,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ARI594=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
% 0.12/0.33 % Computer : n003.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 15:50:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.50 % (1465)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)
% 0.19/0.50 % (1486)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)
% 0.19/0.50 % (1476)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)
% 0.19/0.51 % (1460)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)
% 0.19/0.51 % (1462)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)
% 0.19/0.51 % (1460)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.51 % (1460)Terminated due to inappropriate strategy.
% 0.19/0.51 % (1460)------------------------------
% 0.19/0.51 % (1460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (1460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (1460)Termination reason: Inappropriate
% 0.19/0.51
% 0.19/0.51 % (1460)Memory used [KB]: 895
% 0.19/0.51 % (1460)Time elapsed: 0.002 s
% 0.19/0.51 % (1460)Instructions burned: 1 (million)
% 0.19/0.51 % (1460)------------------------------
% 0.19/0.51 % (1460)------------------------------
% 0.19/0.51 % (1477)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.19/0.51 % (1477)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.51 % (1477)Terminated due to inappropriate strategy.
% 0.19/0.51 % (1477)------------------------------
% 0.19/0.51 % (1477)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (1477)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (1477)Termination reason: Inappropriate
% 0.19/0.51
% 0.19/0.51 % (1477)Memory used [KB]: 895
% 0.19/0.51 % (1477)Time elapsed: 0.002 s
% 0.19/0.51 % (1477)Instructions burned: 2 (million)
% 0.19/0.51 % (1477)------------------------------
% 0.19/0.51 % (1477)------------------------------
% 0.19/0.51 % (1488)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 % (1461)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)
% 0.19/0.51 % (1482)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)
% 0.19/0.51 % (1487)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)
% 0.19/0.51 % (1473)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.51 % (1463)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)
% 0.19/0.51 % (1464)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 % (1483)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 % (1478)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.52 % (1466)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)
% 0.19/0.52 % (1466)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.52 % (1466)Terminated due to inappropriate strategy.
% 0.19/0.52 % (1466)------------------------------
% 0.19/0.52 % (1466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (1474)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 % (1466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (1466)Termination reason: Inappropriate
% 0.19/0.52
% 0.19/0.52 % (1466)Memory used [KB]: 895
% 0.19/0.52 % (1466)Time elapsed: 0.005 s
% 0.19/0.52 % (1466)------------------------------
% 0.19/0.52 % (1466)------------------------------
% 0.19/0.52 % (1469)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)
% 0.19/0.52 % (1479)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)
% 0.19/0.52 % (1485)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 % (1480)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 % (1472)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.52 % (1467)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.52 % (1484)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.19/0.53 % (1470)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.53 % (1467)Instruction limit reached!
% 0.19/0.53 % (1467)------------------------------
% 0.19/0.53 % (1467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (1467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (1467)Termination reason: Unknown
% 0.19/0.53 % (1467)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (1467)Memory used [KB]: 5500
% 0.19/0.53 % (1467)Time elapsed: 0.148 s
% 0.19/0.53 % (1467)Instructions burned: 7 (million)
% 0.19/0.53 % (1467)------------------------------
% 0.19/0.53 % (1467)------------------------------
% 0.19/0.53 % (1481)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.19/0.53 % (1489)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)
% 1.51/0.53 % (1471)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)
% 1.51/0.53 % (1475)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)
% 1.51/0.54 % (1468)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 1.51/0.54 % (1468)Instruction limit reached!
% 1.51/0.54 % (1468)------------------------------
% 1.51/0.54 % (1468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.54 % (1468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.54 % (1468)Termination reason: Unknown
% 1.51/0.54 % (1468)Termination phase: Property scanning
% 1.51/0.54
% 1.51/0.54 % (1468)Memory used [KB]: 895
% 1.51/0.54 % (1468)Time elapsed: 0.002 s
% 1.51/0.54 % (1468)Instructions burned: 2 (million)
% 1.51/0.54 % (1468)------------------------------
% 1.51/0.54 % (1468)------------------------------
% 1.60/0.56 % (1462)Instruction limit reached!
% 1.60/0.56 % (1462)------------------------------
% 1.60/0.56 % (1462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56 % (1462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56 % (1462)Termination reason: Unknown
% 1.60/0.56 % (1462)Termination phase: Saturation
% 1.60/0.56
% 1.60/0.56 % (1462)Memory used [KB]: 1663
% 1.60/0.56 % (1462)Time elapsed: 0.183 s
% 1.60/0.56 % (1462)Instructions burned: 40 (million)
% 1.60/0.56 % (1462)------------------------------
% 1.60/0.56 % (1462)------------------------------
% 1.60/0.59 % (1465)Instruction limit reached!
% 1.60/0.59 % (1465)------------------------------
% 1.60/0.59 % (1465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.59 % (1465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.59 % (1465)Termination reason: Unknown
% 1.60/0.59 % (1465)Termination phase: Saturation
% 1.60/0.59
% 1.60/0.59 % (1465)Memory used [KB]: 5884
% 1.60/0.59 % (1465)Time elapsed: 0.213 s
% 1.60/0.59 % (1465)Instructions burned: 48 (million)
% 1.60/0.59 % (1465)------------------------------
% 1.60/0.59 % (1465)------------------------------
% 1.60/0.60 % (1461)Instruction limit reached!
% 1.60/0.60 % (1461)------------------------------
% 1.60/0.60 % (1461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.60 % (1461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.60 % (1461)Termination reason: Unknown
% 1.60/0.60 % (1461)Termination phase: Saturation
% 1.60/0.60
% 1.60/0.60 % (1461)Memory used [KB]: 6140
% 1.60/0.60 % (1461)Time elapsed: 0.211 s
% 1.60/0.60 % (1461)Instructions burned: 50 (million)
% 1.60/0.60 % (1461)------------------------------
% 1.60/0.60 % (1461)------------------------------
% 1.60/0.60 % (1474)First to succeed.
% 1.60/0.60 % (1464)Instruction limit reached!
% 1.60/0.60 % (1464)------------------------------
% 1.60/0.60 % (1464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.60 % (1474)Refutation found. Thanks to Tanya!
% 1.60/0.60 % SZS status Theorem for theBenchmark
% 1.60/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.60/0.60 % (1474)------------------------------
% 1.60/0.60 % (1474)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.60 % (1474)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.60 % (1474)Termination reason: Refutation
% 1.60/0.60
% 1.60/0.60 % (1474)Memory used [KB]: 6652
% 1.60/0.60 % (1474)Time elapsed: 0.027 s
% 1.60/0.60 % (1474)Instructions burned: 54 (million)
% 1.60/0.60 % (1474)------------------------------
% 1.60/0.60 % (1474)------------------------------
% 1.60/0.60 % (1459)Success in time 0.252 s
%------------------------------------------------------------------------------