TSTP Solution File: SYN954+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN954+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n010.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 19:46:11 EDT 2022
% Result : Theorem 1.60s 0.57s
% Output : Refutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 65 ( 21 ~; 13 |; 18 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 31 ( 22 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,plain,
$false,
inference(subsumption_resolution,[],[f14,f13]) ).
fof(f13,plain,
! [X3] : p(X3),
inference(subsumption_resolution,[],[f8,f9]) ).
fof(f9,plain,
! [X2] :
( p(X2)
| q(X2) ),
inference(cnf_transformation,[],[f7]) ).
fof(f7,plain,
( ! [X2] :
( ( ~ p(sK0)
& q(X2) )
| ( ~ p(sK1)
& p(X2) ) )
& ! [X3] :
( p(X3)
| ~ q(X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f5,f6]) ).
fof(f6,plain,
( ? [X0,X1] :
( ! [X2] :
( ( ~ p(X0)
& q(X2) )
| ( ~ p(X1)
& p(X2) ) )
& ! [X3] :
( p(X3)
| ~ q(X3) ) )
=> ( ! [X2] :
( ( ~ p(sK0)
& q(X2) )
| ( ~ p(sK1)
& p(X2) ) )
& ! [X3] :
( p(X3)
| ~ q(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f5,plain,
? [X0,X1] :
( ! [X2] :
( ( ~ p(X0)
& q(X2) )
| ( ~ p(X1)
& p(X2) ) )
& ! [X3] :
( p(X3)
| ~ q(X3) ) ),
inference(rectify,[],[f4]) ).
fof(f4,plain,
? [X0,X1] :
( ! [X3] :
( ( ~ p(X0)
& q(X3) )
| ( ~ p(X1)
& p(X3) ) )
& ! [X2] :
( p(X2)
| ~ q(X2) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ! [X0,X1] :
( ! [X2] :
( q(X2)
=> p(X2) )
=> ? [X3] :
( ( q(X3)
=> p(X0) )
& ( p(X3)
=> p(X1) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X1,X0] :
( ! [X2] :
( q(X2)
=> p(X2) )
=> ? [X3] :
( ( q(X3)
=> p(X1) )
& ( p(X3)
=> p(X0) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X1,X0] :
( ! [X2] :
( q(X2)
=> p(X2) )
=> ? [X3] :
( ( q(X3)
=> p(X1) )
& ( p(X3)
=> p(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f8,plain,
! [X3] :
( ~ q(X3)
| p(X3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f14,plain,
~ p(sK1),
inference(subsumption_resolution,[],[f12,f13]) ).
fof(f12,plain,
( ~ p(sK0)
| ~ p(sK1) ),
inference(cnf_transformation,[],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN954+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % 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 : n010.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 : Tue Aug 30 22:25:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.60/0.56 % (26552)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 1.60/0.56 % (26554)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 (3000ds/467Mi)
% 1.60/0.56 % (26546)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 (3000ds/75Mi)
% 1.60/0.56 % (26546)First to succeed.
% 1.60/0.57 % (26554)Also succeeded, but the first one will report.
% 1.60/0.57 % (26544)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 1.60/0.57 % (26535)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.60/0.57 % (26546)Refutation found. Thanks to Tanya!
% 1.60/0.57 % SZS status Theorem for theBenchmark
% 1.60/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.60/0.57 % (26546)------------------------------
% 1.60/0.57 % (26546)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.57 % (26546)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.57 % (26546)Termination reason: Refutation
% 1.60/0.57
% 1.60/0.57 % (26546)Memory used [KB]: 895
% 1.60/0.57 % (26546)Time elapsed: 0.007 s
% 1.60/0.57 % (26546)Instructions burned: 1 (million)
% 1.60/0.57 % (26546)------------------------------
% 1.60/0.57 % (26546)------------------------------
% 1.60/0.57 % (26530)Success in time 0.218 s
%------------------------------------------------------------------------------