TSTP Solution File: SWV138+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV138+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 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 : 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 18:44:18 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 9 unt; 0 def)
% Number of atoms : 108 ( 8 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 101 ( 30 ~; 24 |; 38 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f708,plain,
$false,
inference(avatar_sat_refutation,[],[f503,f525,f707]) ).
fof(f707,plain,
~ spl0_30,
inference(avatar_contradiction_clause,[],[f706]) ).
fof(f706,plain,
( $false
| ~ spl0_30 ),
inference(subsumption_resolution,[],[f678,f502]) ).
fof(f502,plain,
( gt(pv1325,n2)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f500,plain,
( spl0_30
<=> gt(pv1325,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f678,plain,
~ gt(pv1325,n2),
inference(unit_resulting_resolution,[],[f167,f276,f152]) ).
fof(f152,plain,
! [X2,X0,X1] :
( gt(X2,X1)
| ~ gt(X2,X0)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( gt(X2,X1)
| ~ gt(X0,X1)
| ~ gt(X2,X0) ),
inference(rectify,[],[f97]) ).
fof(f97,plain,
! [X0,X2,X1] :
( gt(X1,X2)
| ~ gt(X0,X2)
| ~ gt(X1,X0) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X1,X0,X2] :
( gt(X1,X2)
| ~ gt(X0,X2)
| ~ gt(X1,X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,plain,
! [X1,X0,X2] :
( ( gt(X0,X2)
& gt(X1,X0) )
=> gt(X1,X2) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0,X2] :
( ( gt(X1,X2)
& gt(X0,X1) )
=> gt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_gt) ).
fof(f276,plain,
~ gt(pv1325,n0),
inference(unit_resulting_resolution,[],[f134,f123]) ).
fof(f123,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( ~ gt(X0,X1)
| leq(X1,X0) ),
inference(rectify,[],[f98]) ).
fof(f98,plain,
! [X1,X0] :
( ~ gt(X1,X0)
| leq(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt1) ).
fof(f134,plain,
~ leq(n0,pv1325),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( leq(s_best7,n3)
& leq(n2,pv1325)
& gt(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
& leq(s_sworst7,n3)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& leq(n0,s_worst7)
& ~ leq(n0,pv1325)
& leq(pv1325,n3)
& leq(s_worst7,n3) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
( ~ leq(n0,pv1325)
& leq(pv1325,n3)
& leq(n0,s_best7)
& leq(n2,pv1325)
& leq(n0,s_sworst7)
& leq(s_sworst7,n3)
& leq(n0,s_worst7)
& gt(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
& leq(s_best7,n3)
& leq(s_worst7,n3) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(pv1325,n3)
& leq(n0,s_best7)
& leq(n2,pv1325)
& leq(n0,s_sworst7)
& leq(s_sworst7,n3)
& leq(n0,s_worst7)
& gt(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
& leq(s_best7,n3)
& leq(s_worst7,n3) )
=> leq(n0,pv1325) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(pv1325,n3)
& leq(n0,s_best7)
& leq(n2,pv1325)
& leq(n0,s_sworst7)
& leq(s_sworst7,n3)
& leq(n0,s_worst7)
& gt(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
& leq(s_best7,n3)
& leq(s_worst7,n3) )
=> leq(n0,pv1325) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_array_0008) ).
fof(f167,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f65]) ).
fof(f65,axiom,
gt(n2,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_0) ).
fof(f525,plain,
~ spl0_29,
inference(avatar_contradiction_clause,[],[f524]) ).
fof(f524,plain,
( $false
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f516,f167]) ).
fof(f516,plain,
( ~ gt(n2,n0)
| ~ spl0_29 ),
inference(backward_demodulation,[],[f276,f498]) ).
fof(f498,plain,
( n2 = pv1325
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f496,plain,
( spl0_29
<=> n2 = pv1325 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f503,plain,
( spl0_29
| spl0_30 ),
inference(avatar_split_clause,[],[f488,f500,f496]) ).
fof(f488,plain,
( gt(pv1325,n2)
| n2 = pv1325 ),
inference(resolution,[],[f140,f182]) ).
fof(f182,plain,
! [X0,X1] :
( gt(X0,X1)
| X0 = X1
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| gt(X0,X1) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( gt(X0,X1)
| X0 = X1
| ~ leq(X1,X0) ),
inference(ennf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ( X0 != X1
& leq(X1,X0) )
=> gt(X0,X1) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( ( X0 != X1
& leq(X0,X1) )
=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt2) ).
fof(f140,plain,
leq(n2,pv1325),
inference(cnf_transformation,[],[f107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV138+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 19:17:06 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.48 % (5692)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49 % (5692)Instruction limit reached!
% 0.20/0.49 % (5692)------------------------------
% 0.20/0.49 % (5692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (5684)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.50 % (5684)First to succeed.
% 0.20/0.50 % (5692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (5692)Termination reason: Unknown
% 0.20/0.50 % (5692)Termination phase: Function definition elimination
% 0.20/0.50
% 0.20/0.50 % (5692)Memory used [KB]: 1663
% 0.20/0.50 % (5692)Time elapsed: 0.006 s
% 0.20/0.50 % (5692)Instructions burned: 7 (million)
% 0.20/0.50 % (5692)------------------------------
% 0.20/0.50 % (5692)------------------------------
% 0.20/0.50 % (5700)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.50 % (5681)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.51 % (5684)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (5684)------------------------------
% 0.20/0.51 % (5684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (5684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (5684)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (5684)Memory used [KB]: 6268
% 0.20/0.51 % (5684)Time elapsed: 0.104 s
% 0.20/0.51 % (5684)Instructions burned: 14 (million)
% 0.20/0.51 % (5684)------------------------------
% 0.20/0.51 % (5684)------------------------------
% 0.20/0.51 % (5676)Success in time 0.158 s
%------------------------------------------------------------------------------