TSTP Solution File: ARI612_1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI612_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 : n017.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 15:46:36 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 46 ( 8 unt; 3 typ; 0 def)
% Number of atoms : 163 ( 4 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 178 ( 58 ~; 50 |; 49 &)
% ( 14 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number arithmetic : 194 ( 79 atm; 0 fun; 78 num; 37 var)
% Number of types : 2 ( 0 usr; 1 ari)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 1 usr; 5 con; 0-0 aty)
% Number of variables : 37 ( 31 !; 6 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $int ).
tff(pred_def_1,type,
p: $int > $o ).
tff(pred_def_2,type,
q: $int > $o ).
tff(f125,plain,
$false,
inference(avatar_sat_refutation,[],[f42,f85,f96,f112,f124]) ).
tff(f124,plain,
~ spl1_6,
inference(avatar_contradiction_clause,[],[f123]) ).
tff(f123,plain,
( $false
| ~ spl1_6 ),
inference(evaluation,[],[f116]) ).
tff(f116,plain,
( $less(15,12)
| ~ spl1_6 ),
inference(backward_demodulation,[],[f32,f94]) ).
tff(f94,plain,
( ( 15 = sK0 )
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f93]) ).
tff(f93,plain,
( spl1_6
<=> ( 15 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
tff(f32,plain,
$less(sK0,12),
inference(resolution,[],[f30,f26]) ).
tff(f26,plain,
q(sK0),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
( ! [X0: $int] :
( ( ( $less(X0,12)
& $less(8,X0) )
| ~ q(X0) )
& ( q(X0)
| ~ $less(X0,12)
| ~ $less(8,X0) ) )
& ~ p(sK0)
& q(sK0)
& ! [X2: $int] :
( ( ( $less(5,X2)
& $less(X2,15) )
| ~ p(X2) )
& ( p(X2)
| ~ $less(5,X2)
| ~ $less(X2,15) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f20,f21]) ).
tff(f21,plain,
( ? [X1: $int] :
( ~ p(X1)
& q(X1) )
=> ( ~ p(sK0)
& q(sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f20,plain,
( ! [X0: $int] :
( ( ( $less(X0,12)
& $less(8,X0) )
| ~ q(X0) )
& ( q(X0)
| ~ $less(X0,12)
| ~ $less(8,X0) ) )
& ? [X1: $int] :
( ~ p(X1)
& q(X1) )
& ! [X2: $int] :
( ( ( $less(5,X2)
& $less(X2,15) )
| ~ p(X2) )
& ( p(X2)
| ~ $less(5,X2)
| ~ $less(X2,15) ) ) ),
inference(rectify,[],[f19]) ).
tff(f19,plain,
( ! [X1: $int] :
( ( ( $less(X1,12)
& $less(8,X1) )
| ~ q(X1) )
& ( q(X1)
| ~ $less(X1,12)
| ~ $less(8,X1) ) )
& ? [X2: $int] :
( ~ p(X2)
& q(X2) )
& ! [X0: $int] :
( ( ( $less(5,X0)
& $less(X0,15) )
| ~ p(X0) )
& ( p(X0)
| ~ $less(5,X0)
| ~ $less(X0,15) ) ) ),
inference(flattening,[],[f18]) ).
tff(f18,plain,
( ! [X1: $int] :
( ( ( $less(X1,12)
& $less(8,X1) )
| ~ q(X1) )
& ( q(X1)
| ~ $less(X1,12)
| ~ $less(8,X1) ) )
& ? [X2: $int] :
( ~ p(X2)
& q(X2) )
& ! [X0: $int] :
( ( ( $less(5,X0)
& $less(X0,15) )
| ~ p(X0) )
& ( p(X0)
| ~ $less(5,X0)
| ~ $less(X0,15) ) ) ),
inference(nnf_transformation,[],[f17]) ).
tff(f17,plain,
( ! [X1: $int] :
( ( $less(X1,12)
& $less(8,X1) )
<=> q(X1) )
& ? [X2: $int] :
( ~ p(X2)
& q(X2) )
& ! [X0: $int] :
( ( $less(5,X0)
& $less(X0,15) )
<=> p(X0) ) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
( ? [X2: $int] :
( ~ p(X2)
& q(X2) )
& ! [X1: $int] :
( ( $less(X1,12)
& $less(8,X1) )
<=> q(X1) )
& ! [X0: $int] :
( ( $less(5,X0)
& $less(X0,15) )
<=> p(X0) ) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
~ ( ( ! [X1: $int] :
( ( $less(X1,12)
& $less(8,X1) )
<=> q(X1) )
& ! [X0: $int] :
( ( $less(5,X0)
& $less(X0,15) )
<=> p(X0) ) )
=> ! [X2: $int] :
( q(X2)
=> p(X2) ) ),
inference(rectify,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ! [X0: $int] :
( ( $less(5,X0)
& $less(X0,15) )
<=> p(X0) )
& ! [X0: $int] :
( q(X0)
<=> ( $less(8,X0)
& $less(X0,12) ) ) )
=> ! [X0: $int] :
( q(X0)
=> p(X0) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( ! [X0: $int] :
( ( $less(5,X0)
& $less(X0,15) )
<=> p(X0) )
& ! [X0: $int] :
( q(X0)
<=> ( $less(8,X0)
& $less(X0,12) ) ) )
=> ! [X0: $int] :
( q(X0)
=> p(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',interv_8_12_subset_5_15) ).
tff(f30,plain,
! [X0: $int] :
( ~ q(X0)
| $less(X0,12) ),
inference(cnf_transformation,[],[f22]) ).
tff(f112,plain,
~ spl1_5,
inference(avatar_contradiction_clause,[],[f111]) ).
tff(f111,plain,
( $false
| ~ spl1_5 ),
inference(evaluation,[],[f109]) ).
tff(f109,plain,
( $less(15,12)
| ~ spl1_5 ),
inference(resolution,[],[f52,f91]) ).
tff(f91,plain,
( $less(15,sK0)
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f90]) ).
tff(f90,plain,
( spl1_5
<=> $less(15,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
tff(f52,plain,
! [X1: $int] :
( ~ $less(X1,sK0)
| $less(X1,12) ),
inference(resolution,[],[f9,f32]) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f96,plain,
( spl1_5
| spl1_6
| spl1_2 ),
inference(avatar_split_clause,[],[f87,f40,f93,f90]) ).
tff(f40,plain,
( spl1_2
<=> $less(sK0,15) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f87,plain,
( ( 15 = sK0 )
| $less(15,sK0)
| spl1_2 ),
inference(resolution,[],[f41,f10]) ).
tff(f10,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_149,[]) ).
tff(f41,plain,
( ~ $less(sK0,15)
| spl1_2 ),
inference(avatar_component_clause,[],[f40]) ).
tff(f85,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f84]) ).
tff(f84,plain,
( $false
| spl1_1 ),
inference(evaluation,[],[f81]) ).
tff(f81,plain,
( ~ $less(5,8)
| spl1_1 ),
inference(resolution,[],[f51,f38]) ).
tff(f38,plain,
( ~ $less(5,sK0)
| spl1_1 ),
inference(avatar_component_clause,[],[f37]) ).
tff(f37,plain,
( spl1_1
<=> $less(5,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f51,plain,
! [X0: $int] :
( $less(X0,sK0)
| ~ $less(X0,8) ),
inference(resolution,[],[f9,f31]) ).
tff(f31,plain,
$less(8,sK0),
inference(resolution,[],[f29,f26]) ).
tff(f29,plain,
! [X0: $int] :
( ~ q(X0)
| $less(8,X0) ),
inference(cnf_transformation,[],[f22]) ).
tff(f42,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f33,f40,f37]) ).
tff(f33,plain,
( ~ $less(sK0,15)
| ~ $less(5,sK0) ),
inference(resolution,[],[f23,f27]) ).
tff(f27,plain,
~ p(sK0),
inference(cnf_transformation,[],[f22]) ).
tff(f23,plain,
! [X2: $int] :
( p(X2)
| ~ $less(5,X2)
| ~ $less(X2,15) ),
inference(cnf_transformation,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ARI612=1 : TPTP v8.1.0. Released v5.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 15:15:34 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (21646)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)
% 0.19/0.50 % (21668)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (21662)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)
% 0.19/0.51 % (21660)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)
% 0.19/0.51 % (21652)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)
% 0.19/0.51 % (21649)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)
% 0.19/0.51 % (21654)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)
% 0.19/0.51 % (21662)First to succeed.
% 0.19/0.52 % (21654)Instruction limit reached!
% 0.19/0.52 % (21654)------------------------------
% 0.19/0.52 % (21654)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (21654)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (21654)Termination reason: Unknown
% 0.19/0.52 % (21654)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (21654)Memory used [KB]: 5500
% 0.19/0.52 % (21654)Time elapsed: 0.120 s
% 0.19/0.52 % (21654)Instructions burned: 3 (million)
% 0.19/0.52 % (21654)------------------------------
% 0.19/0.52 % (21654)------------------------------
% 0.19/0.52 % (21662)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (21662)------------------------------
% 0.19/0.52 % (21662)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (21662)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (21662)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (21662)Memory used [KB]: 5500
% 0.19/0.52 % (21662)Time elapsed: 0.113 s
% 0.19/0.52 % (21662)Instructions burned: 4 (million)
% 0.19/0.52 % (21662)------------------------------
% 0.19/0.52 % (21662)------------------------------
% 0.19/0.52 % (21644)Success in time 0.166 s
%------------------------------------------------------------------------------