TSTP Solution File: ARI585_1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n001.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 15:46:31 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 12 unt; 2 typ; 0 def)
% Number of atoms : 55 ( 1 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 56 ( 23 ~; 11 |; 18 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 175 ( 53 atm; 44 fun; 42 num; 36 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 : 8 ( 2 usr; 6 con; 0-2 aty)
% Number of variables : 36 ( 26 !; 10 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $int ).
tff(func_def_8,type,
sK1: $int > $int ).
tff(f51,plain,
$false,
inference(subsumption_resolution,[],[f50,f44]) ).
tff(f44,plain,
! [X0: $int] : $less(sK1(X0),$sum(9,sK0)),
inference(evaluation,[],[f42]) ).
tff(f42,plain,
! [X0: $int] : $less(sK1(X0),$sum($sum(8,sK0),1)),
inference(unit_resulting_resolution,[],[f28,f12]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
tff(f28,plain,
! [X0: $int] : ~ $less($sum(8,sK0),sK1(X0)),
inference(unit_resulting_resolution,[],[f8,f23,f9]) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X2)
| ~ $less(X1,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_148,[]) ).
tff(f23,plain,
! [X1: $int] : $less(sK1(X1),$sum(8,sK0)),
inference(forward_demodulation,[],[f20,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
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))
& ( ~ $less(sK1(X1),$sum(X1,4))
| ~ $less(X1,sK1(X1)) )
& $less(sK1(X1),$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)
& ( ~ $less(X2,$sum(X1,4))
| ~ $less(X1,X2) )
& $less(X2,$sum(X0,8)) )
=> ! [X1: $int] :
? [X2: $int] :
( $less($sum(sK0,5),X2)
& ( ~ $less(X2,$sum(X1,4))
| ~ $less(X1,X2) )
& $less(X2,$sum(sK0,8)) ) ),
introduced(choice_axiom,[]) ).
tff(f18,plain,
! [X1: $int] :
( ? [X2: $int] :
( $less($sum(sK0,5),X2)
& ( ~ $less(X2,$sum(X1,4))
| ~ $less(X1,X2) )
& $less(X2,$sum(sK0,8)) )
=> ( $less($sum(sK0,5),sK1(X1))
& ( ~ $less(sK1(X1),$sum(X1,4))
| ~ $less(X1,sK1(X1)) )
& $less(sK1(X1),$sum(sK0,8)) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: $int] :
! [X1: $int] :
? [X2: $int] :
( $less($sum(X0,5),X2)
& ( ~ $less(X2,$sum(X1,4))
| ~ $less(X1,X2) )
& $less(X2,$sum(X0,8)) ),
inference(flattening,[],[f15]) ).
tff(f15,plain,
? [X0: $int] :
! [X1: $int] :
? [X2: $int] :
( ( ~ $less(X2,$sum(X1,4))
| ~ $less(X1,X2) )
& $less(X2,$sum(X0,8))
& $less($sum(X0,5),X2) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
? [X1: $int] :
! [X2: $int] :
( ( $less(X2,$sum(X0,8))
& $less($sum(X0,5),X2) )
=> ( $less(X2,$sum(X1,4))
& $less(X1,X2) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
? [X1: $int] :
! [X2: $int] :
( ( $less(X2,$sum(X0,8))
& $less($sum(X0,5),X2) )
=> ( $less(X2,$sum(X1,4))
& $less(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',interv_4_can_cover_interv_3) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f50,plain,
~ $less(sK1($sum(5,sK0)),$sum(9,sK0)),
inference(evaluation,[],[f46]) ).
tff(f46,plain,
~ $less(sK1($sum(5,sK0)),$sum($sum(5,sK0),4)),
inference(unit_resulting_resolution,[],[f24,f21]) ).
tff(f21,plain,
! [X1: $int] :
( ~ $less(sK1(X1),$sum(X1,4))
| ~ $less(X1,sK1(X1)) ),
inference(cnf_transformation,[],[f19]) ).
tff(f24,plain,
! [X1: $int] : $less($sum(5,sK0),sK1(X1)),
inference(forward_demodulation,[],[f22,f3]) ).
tff(f22,plain,
! [X1: $int] : $less($sum(sK0,5),sK1(X1)),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ARI585=1 : TPTP v8.1.0. Released v5.1.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n001.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 16:10:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.20/0.50 % (5125)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.50 % (5134)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.51 % (5126)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (5125)Refutation not found, incomplete strategy% (5125)------------------------------
% 0.20/0.51 % (5125)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (5117)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.52 % (5118)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.20/0.52 % (5125)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (5125)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (5125)Memory used [KB]: 5373
% 0.20/0.52 % (5125)Time elapsed: 0.108 s
% 0.20/0.52 % (5125)Instructions burned: 1 (million)
% 0.20/0.52 % (5125)------------------------------
% 0.20/0.52 % (5125)------------------------------
% 0.20/0.52 % (5141)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 0.20/0.52 % (5140)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.52 % (5133)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.52 % (5114)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.52 % (5119)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.20/0.52 % (5116)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52 % (5133)Refutation not found, incomplete strategy% (5133)------------------------------
% 0.20/0.52 % (5133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (5133)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (5133)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (5133)Memory used [KB]: 5373
% 0.20/0.52 % (5133)Time elapsed: 0.114 s
% 0.20/0.52 % (5133)Instructions burned: 2 (million)
% 0.20/0.52 % (5133)------------------------------
% 0.20/0.52 % (5133)------------------------------
% 0.20/0.52 % (5138)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.53 % (5114)Instruction limit reached!
% 0.20/0.53 % (5114)------------------------------
% 0.20/0.53 % (5114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (5114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (5114)Termination reason: Unknown
% 0.20/0.53 % (5114)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (5114)Memory used [KB]: 5500
% 0.20/0.53 % (5114)Time elapsed: 0.130 s
% 0.20/0.53 % (5114)Instructions burned: 8 (million)
% 0.20/0.53 % (5114)------------------------------
% 0.20/0.53 % (5114)------------------------------
% 0.20/0.53 % (5123)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.53 % (5132)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.53 % (5113)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.53 % (5129)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.53 % (5128)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (5123)Instruction limit reached!
% 0.20/0.53 % (5123)------------------------------
% 0.20/0.53 % (5123)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (5123)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (5123)Termination reason: Unknown
% 0.20/0.53 % (5123)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (5123)Memory used [KB]: 5500
% 0.20/0.53 % (5123)Time elapsed: 0.141 s
% 0.20/0.53 % (5123)Instructions burned: 5 (million)
% 0.20/0.53 % (5123)------------------------------
% 0.20/0.53 % (5123)------------------------------
% 0.20/0.53 % (5128)Refutation not found, incomplete strategy% (5128)------------------------------
% 0.20/0.53 % (5128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (5128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (5128)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (5128)Memory used [KB]: 5373
% 0.20/0.53 % (5128)Time elapsed: 0.140 s
% 0.20/0.53 % (5128)------------------------------
% 0.20/0.53 % (5128)------------------------------
% 0.20/0.53 % (5112)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.20/0.54 % (5124)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (5124)Instruction limit reached!
% 0.20/0.54 % (5124)------------------------------
% 0.20/0.54 % (5124)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (5124)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (5124)Termination reason: Unknown
% 0.20/0.54 % (5124)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (5124)Memory used [KB]: 5373
% 0.20/0.54 % (5124)Time elapsed: 0.149 s
% 0.20/0.54 % (5124)Instructions burned: 2 (million)
% 0.20/0.54 % (5124)------------------------------
% 0.20/0.54 % (5124)------------------------------
% 0.20/0.54 % (5136)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 0.20/0.54 % (5121)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (5121)Instruction limit reached!
% 0.20/0.54 % (5121)------------------------------
% 0.20/0.54 % (5121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (5121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (5121)Termination reason: Unknown
% 0.20/0.54 % (5121)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (5121)Memory used [KB]: 895
% 0.20/0.54 % (5121)Time elapsed: 0.002 s
% 0.20/0.54 % (5121)Instructions burned: 2 (million)
% 0.20/0.54 % (5121)------------------------------
% 0.20/0.54 % (5121)------------------------------
% 0.20/0.54 % (5137)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.54 % (5117)Instruction limit reached!
% 0.20/0.54 % (5117)------------------------------
% 0.20/0.54 % (5117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (5117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (5117)Termination reason: Unknown
% 0.20/0.54 % (5117)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (5117)Memory used [KB]: 5628
% 0.20/0.54 % (5117)Time elapsed: 0.143 s
% 0.20/0.54 % (5117)Instructions burned: 15 (million)
% 0.20/0.54 % (5117)------------------------------
% 0.20/0.54 % (5117)------------------------------
% 0.20/0.54 % (5137)First to succeed.
% 0.20/0.54 % (5131)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (5131)Refutation not found, incomplete strategy% (5131)------------------------------
% 0.20/0.54 % (5131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (5131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (5131)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (5131)Memory used [KB]: 5373
% 0.20/0.54 % (5131)Time elapsed: 0.147 s
% 0.20/0.54 % (5131)Instructions burned: 1 (million)
% 0.20/0.54 % (5131)------------------------------
% 0.20/0.54 % (5131)------------------------------
% 0.20/0.54 % (5137)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (5137)------------------------------
% 0.20/0.54 % (5137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (5137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (5137)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (5137)Memory used [KB]: 5500
% 0.20/0.54 % (5137)Time elapsed: 0.147 s
% 0.20/0.54 % (5137)Instructions burned: 3 (million)
% 0.20/0.54 % (5137)------------------------------
% 0.20/0.54 % (5137)------------------------------
% 0.20/0.54 % (5111)Success in time 0.196 s
%------------------------------------------------------------------------------