TSTP Solution File: DAT062_1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : DAT062_1 : TPTP v8.1.0. Released v5.5.0.
% 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 : n026.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 16:04:47 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 19
% Syntax : Number of formulae : 41 ( 14 unt; 10 typ; 0 def)
% Number of atoms : 78 ( 12 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 81 ( 34 ~; 23 |; 14 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 73 ( 31 atm; 10 fun; 8 num; 24 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 7 ( 5 >; 2 *; 0 +; 0 <<)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 56 ( 48 !; 8 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
heap: $tType ).
tff(func_def_0,type,
empty: heap ).
tff(func_def_1,type,
get: heap > heap ).
tff(func_def_2,type,
app: ( heap * $int ) > heap ).
tff(func_def_3,type,
toop: heap > $int ).
tff(func_def_4,type,
length: heap > $int ).
tff(func_def_9,type,
sK0: heap ).
tff(func_def_10,type,
sK1: $int ).
tff(func_def_11,type,
sK2: heap ).
tff(pred_def_1,type,
lsls: ( heap * heap ) > $o ).
tff(f644,plain,
$false,
inference(resolution,[],[f466,f98]) ).
tff(f98,plain,
! [X1: $int] : $less(X1,$sum(1,X1)),
inference(superposition,[],[f91,f14]) ).
tff(f14,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f91,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f23,f19]) ).
tff(f19,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f23,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
tff(f466,plain,
~ $less(length(sK0),$sum(1,length(sK0))),
inference(backward_demodulation,[],[f70,f461]) ).
tff(f461,plain,
sK2 = sK0,
inference(resolution,[],[f457,f62]) ).
tff(f62,plain,
lsls(sK2,app(sK0,sK1)),
inference(cnf_transformation,[],[f47]) ).
tff(f47,plain,
( ! [X2: heap] :
( ~ lsls(X2,sK0)
| $less(length(X2),length(sK0)) )
& ~ $less(length(sK2),length(app(sK0,sK1)))
& lsls(sK2,app(sK0,sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f37,f46,f45]) ).
tff(f45,plain,
( ? [X0: heap,X1: $int] :
( ! [X2: heap] :
( ~ lsls(X2,X0)
| $less(length(X2),length(X0)) )
& ? [X3: heap] :
( ~ $less(length(X3),length(app(X0,X1)))
& lsls(X3,app(X0,X1)) ) )
=> ( ! [X2: heap] :
( ~ lsls(X2,sK0)
| $less(length(X2),length(sK0)) )
& ? [X3: heap] :
( ~ $less(length(X3),length(app(sK0,sK1)))
& lsls(X3,app(sK0,sK1)) ) ) ),
introduced(choice_axiom,[]) ).
tff(f46,plain,
( ? [X3: heap] :
( ~ $less(length(X3),length(app(sK0,sK1)))
& lsls(X3,app(sK0,sK1)) )
=> ( ~ $less(length(sK2),length(app(sK0,sK1)))
& lsls(sK2,app(sK0,sK1)) ) ),
introduced(choice_axiom,[]) ).
tff(f37,plain,
? [X0: heap,X1: $int] :
( ! [X2: heap] :
( ~ lsls(X2,X0)
| $less(length(X2),length(X0)) )
& ? [X3: heap] :
( ~ $less(length(X3),length(app(X0,X1)))
& lsls(X3,app(X0,X1)) ) ),
inference(ennf_transformation,[],[f31]) ).
tff(f31,plain,
~ ! [X1: $int,X0: heap] :
( ! [X3: heap] :
( lsls(X3,app(X0,X1))
=> $less(length(X3),length(app(X0,X1))) )
| ~ ! [X2: heap] :
( lsls(X2,X0)
=> $less(length(X2),length(X0)) ) ),
inference(rectify,[],[f13]) ).
tff(f13,negated_conjecture,
~ ! [X1: heap,X0: $int] :
( ~ ! [X2: heap] :
( lsls(X2,X1)
=> $less(length(X2),length(X1)) )
| ! [X2: heap] :
( lsls(X2,app(X1,X0))
=> $less(length(X2),length(app(X1,X0))) ) ),
inference(negated_conjecture,[],[f12]) ).
tff(f12,conjecture,
! [X1: heap,X0: $int] :
( ~ ! [X2: heap] :
( lsls(X2,X1)
=> $less(length(X2),length(X1)) )
| ! [X2: heap] :
( lsls(X2,app(X1,X0))
=> $less(length(X2),length(app(X1,X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',th_lem_1a) ).
tff(f457,plain,
! [X71: $int] :
( ~ lsls(sK2,app(sK0,X71))
| ( sK2 = sK0 ) ),
inference(resolution,[],[f50,f136]) ).
tff(f136,plain,
~ lsls(sK2,sK0),
inference(resolution,[],[f128,f64]) ).
tff(f64,plain,
! [X2: heap] :
( $less(length(X2),length(sK0))
| ~ lsls(X2,sK0) ),
inference(cnf_transformation,[],[f47]) ).
tff(f128,plain,
~ $less(length(sK2),length(sK0)),
inference(resolution,[],[f123,f98]) ).
tff(f123,plain,
! [X0: $int] :
( ~ $less(X0,$sum(1,length(sK0)))
| ~ $less(length(sK2),X0) ),
inference(resolution,[],[f20,f70]) ).
tff(f20,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X2)
| ~ $less(X0,X1)
| ~ $less(X1,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f50,plain,
! [X2: $int,X0: heap,X1: heap] :
( lsls(X0,X1)
| ( X0 = X1 )
| ~ lsls(X0,app(X1,X2)) ),
inference(cnf_transformation,[],[f39]) ).
tff(f39,plain,
! [X0: heap,X1: heap,X2: $int] :
( ( lsls(X0,app(X1,X2))
| ( ~ lsls(X0,X1)
& ( X0 != X1 ) ) )
& ( lsls(X0,X1)
| ( X0 = X1 )
| ~ lsls(X0,app(X1,X2)) ) ),
inference(flattening,[],[f38]) ).
tff(f38,plain,
! [X0: heap,X1: heap,X2: $int] :
( ( lsls(X0,app(X1,X2))
| ( ~ lsls(X0,X1)
& ( X0 != X1 ) ) )
& ( lsls(X0,X1)
| ( X0 = X1 )
| ~ lsls(X0,app(X1,X2)) ) ),
inference(nnf_transformation,[],[f28]) ).
tff(f28,plain,
! [X0: heap,X1: heap,X2: $int] :
( lsls(X0,app(X1,X2))
<=> ( lsls(X0,X1)
| ( X0 = X1 ) ) ),
inference(rectify,[],[f11]) ).
tff(f11,axiom,
! [X2: heap,X1: heap,X0: $int] :
( ( ( X1 = X2 )
| lsls(X2,X1) )
<=> lsls(X2,app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_27) ).
tff(f70,plain,
~ $less(length(sK2),$sum(1,length(sK0))),
inference(forward_demodulation,[],[f63,f65]) ).
tff(f65,plain,
! [X0: $int,X1: heap] : ( length(app(X1,X0)) = $sum(1,length(X1)) ),
inference(cnf_transformation,[],[f7]) ).
tff(f7,axiom,
! [X0: $int,X1: heap] : ( length(app(X1,X0)) = $sum(1,length(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_23) ).
tff(f63,plain,
~ $less(length(sK2),length(app(sK0,sK1))),
inference(cnf_transformation,[],[f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : DAT062=1 : TPTP v8.1.0. Released v5.5.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 21:27:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.47 % (305)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)
% 0.20/0.48 % (305)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.48 % (305)Terminated due to inappropriate strategy.
% 0.20/0.48 % (305)------------------------------
% 0.20/0.48 % (305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (305)Termination reason: Inappropriate
% 0.20/0.48
% 0.20/0.48 % (305)Memory used [KB]: 895
% 0.20/0.48 % (305)Time elapsed: 0.004 s
% 0.20/0.48 % (305)Instructions burned: 1 (million)
% 0.20/0.48 % (305)------------------------------
% 0.20/0.48 % (305)------------------------------
% 0.20/0.49 % (327)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 % (306)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)
% 0.20/0.50 % (321)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)
% 0.20/0.50 % (314)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)
% 0.20/0.51 % (330)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.51 % (313)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (315)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (313)Instruction limit reached!
% 0.20/0.51 % (313)------------------------------
% 0.20/0.51 % (313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (313)Termination reason: Unknown
% 0.20/0.51 % (313)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (313)Memory used [KB]: 5373
% 0.20/0.51 % (313)Time elapsed: 0.004 s
% 0.20/0.51 % (313)Instructions burned: 3 (million)
% 0.20/0.51 % (313)------------------------------
% 0.20/0.51 % (313)------------------------------
% 0.20/0.51 % (307)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 % (328)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)
% 0.20/0.52 % (322)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.52 % (322)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.52 % (322)Terminated due to inappropriate strategy.
% 0.20/0.52 % (322)------------------------------
% 0.20/0.52 % (322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (322)Termination reason: Inappropriate
% 0.20/0.52
% 0.20/0.52 % (322)Memory used [KB]: 895
% 0.20/0.52 % (322)Time elapsed: 0.002 s
% 0.20/0.52 % (322)Instructions burned: 2 (million)
% 0.20/0.52 % (322)------------------------------
% 0.20/0.52 % (322)------------------------------
% 0.20/0.52 % (311)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)
% 0.20/0.52 % (311)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.52 % (311)Terminated due to inappropriate strategy.
% 0.20/0.52 % (311)------------------------------
% 0.20/0.52 % (311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (311)Termination reason: Inappropriate
% 0.20/0.52
% 0.20/0.52 % (311)Memory used [KB]: 895
% 0.20/0.52 % (311)Time elapsed: 0.001 s
% 0.20/0.52 % (311)------------------------------
% 0.20/0.52 % (311)------------------------------
% 0.20/0.52 % (320)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)
% 0.20/0.52 % (319)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)
% 0.20/0.52 % (308)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)
% 0.20/0.53 % (318)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (316)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)
% 0.20/0.53 % (317)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53 % (312)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (334)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)
% 0.20/0.54 % (329)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 % (326)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (333)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (331)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)
% 0.20/0.54 % (324)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)
% 0.20/0.54 % (309)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (325)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)
% 0.20/0.54 % (310)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)
% 0.20/0.54 % (323)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (312)Instruction limit reached!
% 0.20/0.55 % (312)------------------------------
% 0.20/0.55 % (312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (332)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)
% 0.20/0.55 % (314)First to succeed.
% 0.20/0.56 % (312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (312)Termination reason: Unknown
% 0.20/0.56 % (312)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (312)Memory used [KB]: 5500
% 0.20/0.56 % (312)Time elapsed: 0.120 s
% 0.20/0.56 % (312)Instructions burned: 7 (million)
% 0.20/0.56 % (312)------------------------------
% 0.20/0.56 % (312)------------------------------
% 0.20/0.56 % (306)Instruction limit reached!
% 0.20/0.56 % (306)------------------------------
% 0.20/0.56 % (306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (314)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Theorem for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (314)------------------------------
% 0.20/0.57 % (314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (314)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (314)Memory used [KB]: 1407
% 0.20/0.57 % (314)Time elapsed: 0.154 s
% 0.20/0.57 % (314)Instructions burned: 37 (million)
% 0.20/0.57 % (314)------------------------------
% 0.20/0.57 % (314)------------------------------
% 0.20/0.57 % (302)Success in time 0.223 s
%------------------------------------------------------------------------------