TSTP Solution File: SEU198+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU198+1 : TPTP v8.1.0. Released 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 : n006.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 18:27:19 EDT 2022
% Result : Theorem 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 33 ( 10 ~; 6 |; 4 &)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 33 ( 31 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f111,plain,
$false,
inference(unit_resulting_resolution,[],[f80,f95,f93,f62]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ in(X2,relation_rng(relation_rng_restriction(X1,X0)))
| in(X2,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X1,X0,X2] :
( ~ relation(X0)
| ( ( in(X2,X1)
& in(X2,relation_rng(X0)) )
<=> in(X2,relation_rng(relation_rng_restriction(X1,X0))) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( relation(X0)
=> ( ( in(X2,X1)
& in(X2,relation_rng(X0)) )
<=> in(X2,relation_rng(relation_rng_restriction(X1,X0))) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X2,X1,X0] :
( relation(X2)
=> ( ( in(X0,relation_rng(X2))
& in(X0,X1) )
<=> in(X0,relation_rng(relation_rng_restriction(X1,X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t115_relat_1) ).
fof(f93,plain,
in(sK3(sK8,relation_rng(relation_rng_restriction(sK8,sK9))),relation_rng(relation_rng_restriction(sK8,sK9))),
inference(unit_resulting_resolution,[],[f79,f71]) ).
fof(f71,plain,
! [X0,X1] :
( subset(X1,X0)
| in(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( subset(X1,X0)
<=> ! [X2] :
( ~ in(X2,X1)
| in(X2,X0) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X1,X0] :
( ! [X2] :
( in(X2,X1)
=> in(X2,X0) )
<=> subset(X1,X0) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f79,plain,
~ subset(relation_rng(relation_rng_restriction(sK8,sK9)),sK8),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
? [X1,X0] :
( relation(X0)
& ~ subset(relation_rng(relation_rng_restriction(X1,X0)),X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
~ ! [X0,X1] :
( relation(X0)
=> subset(relation_rng(relation_rng_restriction(X1,X0)),X1) ),
inference(rectify,[],[f24]) ).
fof(f24,negated_conjecture,
~ ! [X1,X0] :
( relation(X1)
=> subset(relation_rng(relation_rng_restriction(X0,X1)),X0) ),
inference(negated_conjecture,[],[f23]) ).
fof(f23,conjecture,
! [X1,X0] :
( relation(X1)
=> subset(relation_rng(relation_rng_restriction(X0,X1)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t116_relat_1) ).
fof(f95,plain,
~ in(sK3(sK8,relation_rng(relation_rng_restriction(sK8,sK9))),sK8),
inference(unit_resulting_resolution,[],[f79,f70]) ).
fof(f70,plain,
! [X0,X1] :
( ~ in(sK3(X0,X1),X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f80,plain,
relation(sK9),
inference(cnf_transformation,[],[f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU198+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n006.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 14:47:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.46 % (25268)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)
% 0.18/0.47 % (25261)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.47 % (25261)First to succeed.
% 0.18/0.47 % (25261)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Theorem for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (25261)------------------------------
% 0.18/0.47 % (25261)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47 % (25261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47 % (25261)Termination reason: Refutation
% 0.18/0.47
% 0.18/0.47 % (25261)Memory used [KB]: 6012
% 0.18/0.47 % (25261)Time elapsed: 0.096 s
% 0.18/0.47 % (25261)Instructions burned: 2 (million)
% 0.18/0.47 % (25261)------------------------------
% 0.18/0.47 % (25261)------------------------------
% 0.18/0.47 % (25252)Success in time 0.132 s
%------------------------------------------------------------------------------