TSTP Solution File: DAT024_1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : DAT024_1 : TPTP v8.1.0. Released v5.0.0.
% 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 : n021.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 16:04:39 EDT 2022
% Result : Theorem 1.69s 0.57s
% Output : Refutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 17
% Syntax : Number of formulae : 49 ( 20 unt; 7 typ; 0 def)
% Number of atoms : 107 ( 15 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 113 ( 48 ~; 22 |; 32 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 190 ( 46 atm; 23 fun; 85 num; 36 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 5 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 5 usr; 8 con; 0-2 aty)
% Number of variables : 43 ( 33 !; 10 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
collection: $tType ).
tff(func_def_0,type,
empty: collection ).
tff(func_def_1,type,
add: ( $int * collection ) > collection ).
tff(func_def_2,type,
remove: ( $int * collection ) > collection ).
tff(func_def_8,type,
sK0: collection ).
tff(func_def_9,type,
sK1: $int ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f367,plain,
$false,
inference(subsumption_resolution,[],[f305,f52]) ).
tff(f52,plain,
~ in(0,sK0),
inference(cnf_transformation,[],[f38]) ).
tff(f38,plain,
( ~ in(0,sK0)
& ~ in(1,sK0)
& $less(sK1,2)
& in(sK1,sK0)
& ! [X2: $int] :
( ~ in(X2,sK0)
| ~ $less(X2,0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f35,f37,f36]) ).
tff(f36,plain,
( ? [X0: collection] :
( ~ in(0,X0)
& ~ in(1,X0)
& ? [X1: $int] :
( $less(X1,2)
& in(X1,X0) )
& ! [X2: $int] :
( ~ in(X2,X0)
| ~ $less(X2,0) ) )
=> ( ~ in(0,sK0)
& ~ in(1,sK0)
& ? [X1: $int] :
( $less(X1,2)
& in(X1,sK0) )
& ! [X2: $int] :
( ~ in(X2,sK0)
| ~ $less(X2,0) ) ) ),
introduced(choice_axiom,[]) ).
tff(f37,plain,
( ? [X1: $int] :
( $less(X1,2)
& in(X1,sK0) )
=> ( $less(sK1,2)
& in(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f35,plain,
? [X0: collection] :
( ~ in(0,X0)
& ~ in(1,X0)
& ? [X1: $int] :
( $less(X1,2)
& in(X1,X0) )
& ! [X2: $int] :
( ~ in(X2,X0)
| ~ $less(X2,0) ) ),
inference(rectify,[],[f26]) ).
tff(f26,plain,
? [X0: collection] :
( ~ in(0,X0)
& ~ in(1,X0)
& ? [X2: $int] :
( $less(X2,2)
& in(X2,X0) )
& ! [X1: $int] :
( ~ in(X1,X0)
| ~ $less(X1,0) ) ),
inference(flattening,[],[f25]) ).
tff(f25,plain,
? [X0: collection] :
( ? [X2: $int] :
( $less(X2,2)
& in(X2,X0) )
& ~ in(1,X0)
& ! [X1: $int] :
( ~ in(X1,X0)
| ~ $less(X1,0) )
& ~ in(0,X0) ),
inference(ennf_transformation,[],[f8]) ).
tff(f8,plain,
~ ! [X0: collection] :
( ( ~ in(1,X0)
& ! [X1: $int] :
( in(X1,X0)
=> ~ $less(X1,0) )
& ~ in(0,X0) )
=> ! [X2: $int] :
( in(X2,X0)
=> ~ $less(X2,2) ) ),
inference(theory_normalization,[],[f7]) ).
tff(f7,negated_conjecture,
~ ! [X0: collection] :
( ( ! [X1: $int] :
( in(X1,X0)
=> $greatereq(X1,0) )
& ~ in(0,X0)
& ~ in(1,X0) )
=> ! [X2: $int] :
( in(X2,X0)
=> $greatereq(X2,2) ) ),
inference(negated_conjecture,[],[f6]) ).
tff(f6,conjecture,
! [X0: collection] :
( ( ! [X1: $int] :
( in(X1,X0)
=> $greatereq(X1,0) )
& ~ in(0,X0)
& ~ in(1,X0) )
=> ! [X2: $int] :
( in(X2,X0)
=> $greatereq(X2,2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f305,plain,
in(0,sK0),
inference(backward_demodulation,[],[f49,f304]) ).
tff(f304,plain,
0 = sK1,
inference(subsumption_resolution,[],[f285,f51]) ).
tff(f51,plain,
~ in(1,sK0),
inference(cnf_transformation,[],[f38]) ).
tff(f285,plain,
( ( 0 = sK1 )
| in(1,sK0) ),
inference(superposition,[],[f49,f284]) ).
tff(f284,plain,
( ( 1 = sK1 )
| ( 0 = sK1 ) ),
inference(subsumption_resolution,[],[f283,f218]) ).
tff(f218,plain,
~ $less(1,sK1),
inference(evaluation,[],[f217]) ).
tff(f217,plain,
~ $less(1,$sum($sum(-1,sK1),1)),
inference(resolution,[],[f212,f20]) ).
tff(f20,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_166,[]) ).
tff(f212,plain,
$less($sum(-1,sK1),1),
inference(resolution,[],[f209,f68]) ).
tff(f68,plain,
! [X2: $int] :
( $less(0,X2)
| $less(X2,1) ),
inference(superposition,[],[f18,f59]) ).
tff(f59,plain,
! [X0: $int] : ( $sum(0,X0) = X0 ),
inference(superposition,[],[f11,f9]) ).
tff(f9,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f11,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f18,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
tff(f209,plain,
~ $less(0,$sum(-1,sK1)),
inference(evaluation,[],[f208]) ).
tff(f208,plain,
~ $less(0,$sum($sum(-2,sK1),1)),
inference(resolution,[],[f201,f20]) ).
tff(f201,plain,
$less($sum(-2,sK1),0),
inference(forward_demodulation,[],[f198,f9]) ).
tff(f198,plain,
$less($sum(sK1,-2),0),
inference(evaluation,[],[f195]) ).
tff(f195,plain,
$less($sum(sK1,$uminus(2)),0),
inference(superposition,[],[f146,f13]) ).
tff(f13,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f146,plain,
! [X0: $int] : $less($sum(sK1,X0),$sum(2,X0)),
inference(resolution,[],[f17,f50]) ).
tff(f50,plain,
$less(sK1,2),
inference(cnf_transformation,[],[f38]) ).
tff(f17,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ),
introduced(theory_axiom_150,[]) ).
tff(f283,plain,
( ( 0 = sK1 )
| ( 1 = sK1 )
| $less(1,sK1) ),
inference(resolution,[],[f278,f16]) ).
tff(f16,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_149,[]) ).
tff(f278,plain,
( ~ $less(sK1,1)
| ( 0 = sK1 ) ),
inference(evaluation,[],[f277]) ).
tff(f277,plain,
( ( 0 = sK1 )
| ~ $less(sK1,$sum(0,1)) ),
inference(resolution,[],[f231,f20]) ).
tff(f231,plain,
( $less(0,sK1)
| ( 0 = sK1 ) ),
inference(resolution,[],[f104,f49]) ).
tff(f104,plain,
! [X0: $int] :
( ~ in(X0,sK0)
| $less(0,X0)
| ( 0 = X0 ) ),
inference(resolution,[],[f16,f48]) ).
tff(f48,plain,
! [X2: $int] :
( ~ $less(X2,0)
| ~ in(X2,sK0) ),
inference(cnf_transformation,[],[f38]) ).
tff(f49,plain,
in(sK1,sK0),
inference(cnf_transformation,[],[f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : DAT024=1 : TPTP v8.1.0. Released v5.0.0.
% 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
% 0.12/0.33 % Computer : n021.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 20:13:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.47 % (17535)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.48 % (17544)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.49 % (17552)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.50 % (17551)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 (2999ds/176Mi)
% 0.20/0.50 % (17553)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 (2999ds/498Mi)
% 0.20/0.50 % (17560)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 (2999ds/355Mi)
% 0.20/0.50 % (17542)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50 % (17545)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 (2999ds/68Mi)
% 0.20/0.50 % (17559)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.51 % (17537)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (17537)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.51 % (17537)Terminated due to inappropriate strategy.
% 0.20/0.51 % (17537)------------------------------
% 0.20/0.51 % (17537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (17537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (17537)Termination reason: Inappropriate
% 0.20/0.51
% 0.20/0.51 % (17537)Memory used [KB]: 895
% 0.20/0.51 % (17537)Time elapsed: 0.005 s
% 0.20/0.51 % (17537)Instructions burned: 2 (million)
% 0.20/0.51 % (17537)------------------------------
% 0.20/0.51 % (17537)------------------------------
% 0.20/0.52 % (17538)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (17534)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (17532)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (17538)Instruction limit reached!
% 0.20/0.52 % (17538)------------------------------
% 0.20/0.52 % (17538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (17538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (17538)Termination reason: Unknown
% 0.20/0.52 % (17538)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (17538)Memory used [KB]: 5500
% 0.20/0.52 % (17538)Time elapsed: 0.128 s
% 0.20/0.52 % (17538)Instructions burned: 7 (million)
% 0.20/0.52 % (17538)------------------------------
% 0.20/0.52 % (17538)------------------------------
% 0.20/0.52 % (17533)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 (2999ds/37Mi)
% 0.20/0.52 % (17536)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 (2999ds/48Mi)
% 0.20/0.52 % (17539)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (17539)Instruction limit reached!
% 0.20/0.53 % (17539)------------------------------
% 0.20/0.53 % (17539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (17539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (17539)Termination reason: Unknown
% 0.20/0.53 % (17539)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (17539)Memory used [KB]: 5373
% 0.20/0.53 % (17539)Time elapsed: 0.136 s
% 0.20/0.53 % (17539)Instructions burned: 3 (million)
% 0.20/0.53 % (17539)------------------------------
% 0.20/0.53 % (17539)------------------------------
% 0.20/0.53 % (17540)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 (2999ds/51Mi)
% 0.20/0.53 % (17531)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 (2999ds/191324Mi)
% 0.20/0.53 % (17547)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 (2999ds/99Mi)
% 0.20/0.53 % (17531)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.53 % (17531)Terminated due to inappropriate strategy.
% 0.20/0.53 % (17531)------------------------------
% 0.20/0.53 % (17531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (17531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (17531)Termination reason: Inappropriate
% 0.20/0.53
% 0.20/0.53 % (17531)Memory used [KB]: 895
% 0.20/0.53 % (17531)Time elapsed: 0.002 s
% 0.20/0.53 % (17531)Instructions burned: 2 (million)
% 0.20/0.53 % (17531)------------------------------
% 0.20/0.53 % (17531)------------------------------
% 0.20/0.53 % (17557)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 (2999ds/68Mi)
% 0.20/0.53 % (17548)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53 % (17548)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.53 % (17548)Terminated due to inappropriate strategy.
% 0.20/0.53 % (17548)------------------------------
% 0.20/0.53 % (17548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (17548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (17548)Termination reason: Inappropriate
% 0.20/0.53
% 0.20/0.53 % (17548)Memory used [KB]: 895
% 0.20/0.53 % (17548)Time elapsed: 0.002 s
% 0.20/0.53 % (17548)------------------------------
% 0.20/0.53 % (17548)------------------------------
% 0.20/0.53 % (17541)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (17558)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 (2999ds/177Mi)
% 0.20/0.54 % (17549)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (17555)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (17543)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54 % (17556)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.51/0.54 % (17550)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 (2999ds/100Mi)
% 1.51/0.55 % (17554)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 (2999ds/467Mi)
% 1.51/0.55 % (17546)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 (2999ds/75Mi)
% 1.69/0.56 % (17558)First to succeed.
% 1.69/0.57 % (17558)Refutation found. Thanks to Tanya!
% 1.69/0.57 % SZS status Theorem for theBenchmark
% 1.69/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.69/0.57 % (17558)------------------------------
% 1.69/0.57 % (17558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.57 % (17558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.57 % (17558)Termination reason: Refutation
% 1.69/0.57
% 1.69/0.57 % (17558)Memory used [KB]: 1151
% 1.69/0.57 % (17558)Time elapsed: 0.179 s
% 1.69/0.57 % (17558)Instructions burned: 14 (million)
% 1.69/0.57 % (17558)------------------------------
% 1.69/0.57 % (17558)------------------------------
% 1.69/0.57 % (17530)Success in time 0.221 s
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