TSTP Solution File: SYN728+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN728+1 : TPTP v8.1.0. Released v2.5.0.
% 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 : 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 19:39:24 EDT 2022
% Result : Theorem 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 3 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 108 ( 36 ~; 31 |; 30 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 72 ( 55 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,plain,
$false,
inference(resolution,[],[f19,f15]) ).
fof(f15,plain,
! [X7] : ~ p(g(sK1),X7),
inference(subsumption_resolution,[],[f10,f11]) ).
fof(f11,plain,
! [X3,X4,X5] :
( ~ p(X3,X5)
| p(X4,X4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ! [X0] :
( ( m(X0)
& q(f(X0,sK0(X0))) )
| p(X0,sK0(X0)) )
& ! [X2] :
( ~ m(g(X2))
| ~ q(X2) )
& ! [X3] :
( ! [X4] : p(X4,X4)
| ! [X5] : ~ p(X3,X5) )
& ! [X7] :
( ~ p(sK1,sK1)
| ~ p(g(sK1),X7) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).
fof(f7,plain,
! [X0] :
( ? [X1] :
( ( m(X0)
& q(f(X0,X1)) )
| p(X0,X1) )
=> ( ( m(X0)
& q(f(X0,sK0(X0))) )
| p(X0,sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
( ? [X6] :
! [X7] :
( ~ p(X6,X6)
| ~ p(g(X6),X7) )
=> ! [X7] :
( ~ p(sK1,sK1)
| ~ p(g(sK1),X7) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ! [X0] :
? [X1] :
( ( m(X0)
& q(f(X0,X1)) )
| p(X0,X1) )
& ! [X2] :
( ~ m(g(X2))
| ~ q(X2) )
& ! [X3] :
( ! [X4] : p(X4,X4)
| ! [X5] : ~ p(X3,X5) )
& ? [X6] :
! [X7] :
( ~ p(X6,X6)
| ~ p(g(X6),X7) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ! [X4] :
? [X5] :
( ( m(X4)
& q(f(X4,X5)) )
| p(X4,X5) )
& ! [X0] :
( ~ m(g(X0))
| ~ q(X0) )
& ! [X1] :
( ! [X3] : p(X3,X3)
| ! [X2] : ~ p(X1,X2) )
& ? [X6] :
! [X7] :
( ~ p(X6,X6)
| ~ p(g(X6),X7) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ? [X6] :
! [X7] :
( ~ p(X6,X6)
| ~ p(g(X6),X7) )
& ! [X0] :
( ~ m(g(X0))
| ~ q(X0) )
& ! [X4] :
? [X5] :
( ( m(X4)
& q(f(X4,X5)) )
| p(X4,X5) )
& ! [X1] :
( ! [X3] : p(X3,X3)
| ! [X2] : ~ p(X1,X2) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ! [X0] :
( q(X0)
=> ~ m(g(X0)) )
& ! [X4] :
? [X5] :
( ( m(X4)
& q(f(X4,X5)) )
| p(X4,X5) )
& ! [X1] :
( ? [X2] : p(X1,X2)
=> ! [X3] : p(X3,X3) ) )
=> ! [X6] :
? [X7] :
( p(X6,X6)
& p(g(X6),X7) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ! [X5] :
( q(X5)
=> ~ m(g(X5)) )
& ! [X0] :
( ? [X1] : p(X0,X1)
=> ! [X2] : p(X2,X2) )
& ! [X3] :
? [X4] :
( p(X3,X4)
| ( m(X3)
& q(f(X3,X4)) ) ) )
=> ! [X6] :
? [X7] :
( p(X6,X6)
& p(g(X6),X7) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ! [X5] :
( q(X5)
=> ~ m(g(X5)) )
& ! [X0] :
( ? [X1] : p(X0,X1)
=> ! [X2] : p(X2,X2) )
& ! [X3] :
? [X4] :
( p(X3,X4)
| ( m(X3)
& q(f(X3,X4)) ) ) )
=> ! [X6] :
? [X7] :
( p(X6,X6)
& p(g(X6),X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm69) ).
fof(f10,plain,
! [X7] :
( ~ p(sK1,sK1)
| ~ p(g(sK1),X7) ),
inference(cnf_transformation,[],[f9]) ).
fof(f19,plain,
! [X1] : p(X1,X1),
inference(subsumption_resolution,[],[f18,f11]) ).
fof(f18,plain,
! [X0,X1] :
( p(X0,sK0(X0))
| p(X1,X1) ),
inference(resolution,[],[f17,f11]) ).
fof(f17,plain,
! [X0] :
( p(g(f(X0,sK0(X0))),sK0(g(f(X0,sK0(X0)))))
| p(X0,sK0(X0)) ),
inference(resolution,[],[f16,f14]) ).
fof(f14,plain,
! [X0] :
( m(X0)
| p(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f9]) ).
fof(f16,plain,
! [X0] :
( ~ m(g(f(X0,sK0(X0))))
| p(X0,sK0(X0)) ),
inference(resolution,[],[f13,f12]) ).
fof(f12,plain,
! [X2] :
( ~ q(X2)
| ~ m(g(X2)) ),
inference(cnf_transformation,[],[f9]) ).
fof(f13,plain,
! [X0] :
( q(f(X0,sK0(X0)))
| p(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN728+1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --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 : Tue Aug 30 22:40:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (20742)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.18/0.49 % (20742)First to succeed.
% 0.18/0.49 % (20734)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.18/0.49 % (20742)Refutation found. Thanks to Tanya!
% 0.18/0.49 % SZS status Theorem for theBenchmark
% 0.18/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49 % (20742)------------------------------
% 0.18/0.49 % (20742)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (20742)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (20742)Termination reason: Refutation
% 0.18/0.49
% 0.18/0.49 % (20742)Memory used [KB]: 895
% 0.18/0.49 % (20742)Time elapsed: 0.063 s
% 0.18/0.49 % (20742)Instructions burned: 1 (million)
% 0.18/0.49 % (20742)------------------------------
% 0.18/0.49 % (20742)------------------------------
% 0.18/0.49 % (20719)Success in time 0.155 s
%------------------------------------------------------------------------------