TSTP Solution File: SET366+4 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET366+4 : TPTP v8.1.0. Released v2.2.0.
% 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 : n003.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 18:24:33 EDT 2022
% Result : Theorem 1.41s 0.56s
% Output : Refutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 11 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 62 ( 27 ~; 16 |; 10 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 43 ( 38 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f92,plain,
$false,
inference(resolution,[],[f90,f88]) ).
fof(f88,plain,
~ subset(empty_set,sK1),
inference(resolution,[],[f83,f76]) ).
fof(f76,plain,
~ member(empty_set,power_set(sK1)),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
~ member(empty_set,power_set(sK1)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f26,f46]) ).
fof(f46,plain,
( ? [X0] : ~ member(empty_set,power_set(X0))
=> ~ member(empty_set,power_set(sK1)) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0] : ~ member(empty_set,power_set(X0)),
inference(ennf_transformation,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0] : member(empty_set,power_set(X0)),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0] : member(empty_set,power_set(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI47) ).
fof(f83,plain,
! [X0,X1] :
( member(X1,power_set(X0))
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ~ member(X1,power_set(X0)) )
& ( member(X1,power_set(X0))
| ~ subset(X1,X0) ) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X1,X0] :
( ( subset(X0,X1)
| ~ member(X0,power_set(X1)) )
& ( member(X0,power_set(X1))
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X1,X0] :
( subset(X0,X1)
<=> member(X0,power_set(X1)) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2,X0] :
( subset(X2,X0)
<=> member(X2,power_set(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',power_set) ).
fof(f90,plain,
! [X0] : subset(empty_set,X0),
inference(resolution,[],[f61,f75]) ).
fof(f75,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0] : ~ member(X0,empty_set),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2] : ~ member(X2,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set) ).
fof(f61,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f32,f33]) ).
fof(f33,plain,
! [X0,X1] :
( ? [X3] :
( ~ member(X3,X1)
& member(X3,X0) )
=> ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X3] :
( ~ member(X3,X1)
& member(X3,X0) ) ) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X1,X0] :
( ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) ) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
<=> subset(X1,X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET366+4 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 13:43:22 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.41/0.55 % (2402)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.41/0.56 % (2402)First to succeed.
% 1.41/0.56 % (2402)Refutation found. Thanks to Tanya!
% 1.41/0.56 % SZS status Theorem for theBenchmark
% 1.41/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.41/0.56 % (2402)------------------------------
% 1.41/0.56 % (2402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.56 % (2402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.56 % (2402)Termination reason: Refutation
% 1.41/0.56
% 1.41/0.56 % (2402)Memory used [KB]: 895
% 1.41/0.56 % (2402)Time elapsed: 0.126 s
% 1.41/0.56 % (2402)Instructions burned: 2 (million)
% 1.41/0.56 % (2402)------------------------------
% 1.41/0.56 % (2402)------------------------------
% 1.41/0.56 % (2399)Success in time 0.203 s
%------------------------------------------------------------------------------