TSTP Solution File: ARI735_1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI735_1 : TPTP v8.1.0. Released v6.4.0.
% 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 : n012.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 15:47:02 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 10 unt; 1 typ; 0 def)
% Number of atoms : 61 ( 26 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 72 ( 33 ~; 10 |; 17 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 138 ( 31 atm; 27 fun; 57 num; 23 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 0 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 16 !; 7 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $int ).
tff(f39,plain,
$false,
inference(subsumption_resolution,[],[f38,f29]) ).
tff(f29,plain,
$less(0,sK0),
inference(subsumption_resolution,[],[f27,f21]) ).
tff(f21,plain,
0 != sK0,
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
( ! [X1: $int] :
( ( $sum(sK0,$uminus(1)) != X1 )
| $less(X1,0) )
& ~ $less(sK0,0)
& ( 0 != sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f18,f19]) ).
tff(f19,plain,
( ? [X0: $int] :
( ! [X1: $int] :
( ( $sum(X0,$uminus(1)) != X1 )
| $less(X1,0) )
& ~ $less(X0,0)
& ( 0 != X0 ) )
=> ( ! [X1: $int] :
( ( $sum(sK0,$uminus(1)) != X1 )
| $less(X1,0) )
& ~ $less(sK0,0)
& ( 0 != sK0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f18,plain,
? [X0: $int] :
( ! [X1: $int] :
( ( $sum(X0,$uminus(1)) != X1 )
| $less(X1,0) )
& ~ $less(X0,0)
& ( 0 != X0 ) ),
inference(flattening,[],[f17]) ).
tff(f17,plain,
? [X0: $int] :
( ! [X1: $int] :
( ( $sum(X0,$uminus(1)) != X1 )
| $less(X1,0) )
& ( 0 != X0 )
& ~ $less(X0,0) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
~ ! [X0: $int] :
( ~ $less(X0,0)
=> ( ( 0 != X0 )
=> ? [X1: $int] :
( ( $sum(X0,$uminus(1)) = X1 )
& ~ $less(X1,0) ) ) ),
inference(true_and_false_elimination,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $int] :
( ~ $less(X0,0)
=> ( ( ( 0 != X0 )
=> ? [X1: $int] :
( ( $sum(X0,$uminus(1)) = X1 )
& ~ $less(X1,0) ) )
& ( ( 0 = X0 )
=> $true ) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( $greatereq(X0,0)
=> ( ( ( 0 != X0 )
=> ? [X1: $int] :
( $greatereq(X1,0)
& ( $difference(X0,1) = X1 ) ) )
& ( ( 0 = X0 )
=> $true ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
( $greatereq(X0,0)
=> ( ( ( 0 != X0 )
=> ? [X1: $int] :
( $greatereq(X1,0)
& ( $difference(X0,1) = X1 ) ) )
& ( ( 0 = X0 )
=> $true ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula) ).
tff(f27,plain,
( $less(0,sK0)
| ( 0 = sK0 ) ),
inference(resolution,[],[f22,f11]) ).
tff(f11,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_149,[]) ).
tff(f22,plain,
~ $less(sK0,0),
inference(cnf_transformation,[],[f20]) ).
tff(f38,plain,
~ $less(0,sK0),
inference(evaluation,[],[f36]) ).
tff(f36,plain,
~ $less(0,$sum($sum(-1,sK0),1)),
inference(resolution,[],[f26,f15]) ).
tff(f15,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_166,[]) ).
tff(f26,plain,
$less($sum(-1,sK0),0),
inference(forward_demodulation,[],[f25,f4]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f25,plain,
$less($sum(sK0,-1),0),
inference(evaluation,[],[f24]) ).
tff(f24,plain,
$less($sum(sK0,$uminus(1)),0),
inference(equality_resolution,[],[f23]) ).
tff(f23,plain,
! [X1: $int] :
( ( $sum(sK0,$uminus(1)) != X1 )
| $less(X1,0) ),
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI735=1 : TPTP v8.1.0. Released v6.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n012.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 16:22:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (1531)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)
% 0.20/0.50 % (1527)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=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (1540)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.51 % (1540)Refutation not found, incomplete strategy% (1540)------------------------------
% 0.20/0.51 % (1540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (1540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (1540)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (1540)Memory used [KB]: 5373
% 0.20/0.51 % (1540)Time elapsed: 0.073 s
% 0.20/0.51 % (1540)------------------------------
% 0.20/0.51 % (1540)------------------------------
% 0.20/0.51 % (1524)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)
% 0.20/0.51 % (1527)Instruction limit reached!
% 0.20/0.51 % (1527)------------------------------
% 0.20/0.51 % (1527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (1527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (1527)Termination reason: Unknown
% 0.20/0.51 % (1527)Termination phase: Property scanning
% 0.20/0.51
% 0.20/0.51 % (1527)Memory used [KB]: 895
% 0.20/0.51 % (1527)Time elapsed: 0.003 s
% 0.20/0.51 % (1527)Instructions burned: 2 (million)
% 0.20/0.51 % (1527)------------------------------
% 0.20/0.51 % (1527)------------------------------
% 0.20/0.51 % (1524)Instruction limit reached!
% 0.20/0.51 % (1524)------------------------------
% 0.20/0.51 % (1524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (1524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (1524)Termination reason: Unknown
% 0.20/0.51 % (1524)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (1524)Memory used [KB]: 5500
% 0.20/0.51 % (1524)Time elapsed: 0.107 s
% 0.20/0.51 % (1524)Instructions burned: 3 (million)
% 0.20/0.51 % (1524)------------------------------
% 0.20/0.51 % (1524)------------------------------
% 0.20/0.51 % (1523)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)
% 0.20/0.51 % (1519)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)
% 0.20/0.51 % (1541)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)
% 0.20/0.51 % (1531)Refutation not found, incomplete strategy% (1531)------------------------------
% 0.20/0.51 % (1531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (1523)First to succeed.
% 0.20/0.52 % (1531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (1531)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (1531)Memory used [KB]: 5373
% 0.20/0.52 % (1531)Time elapsed: 0.116 s
% 0.20/0.52 % (1531)Instructions burned: 1 (million)
% 0.20/0.52 % (1531)------------------------------
% 0.20/0.52 % (1531)------------------------------
% 0.20/0.52 % (1522)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.20/0.52 % (1523)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (1523)------------------------------
% 0.20/0.52 % (1523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (1523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (1523)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (1523)Memory used [KB]: 5500
% 0.20/0.52 % (1523)Time elapsed: 0.117 s
% 0.20/0.52 % (1523)Instructions burned: 2 (million)
% 0.20/0.52 % (1523)------------------------------
% 0.20/0.52 % (1523)------------------------------
% 0.20/0.52 % (1509)Success in time 0.167 s
%------------------------------------------------------------------------------