TSTP Solution File: SET705+4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET705+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 : 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 18:25:24 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 55 ( 24 ~; 15 |; 9 &)
% ( 4 <=>; 3 =>; 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 36 ( 31 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f90,plain,
$false,
inference(resolution,[],[f87,f84]) ).
fof(f84,plain,
~ subset(sK1,sK1),
inference(resolution,[],[f62,f63]) ).
fof(f63,plain,
~ member(sK1,power_set(sK1)),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ member(sK1,power_set(sK1)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f23,f34]) ).
fof(f34,plain,
( ? [X0] : ~ member(X0,power_set(X0))
=> ~ member(sK1,power_set(sK1)) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
? [X0] : ~ member(X0,power_set(X0)),
inference(ennf_transformation,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0] : member(X0,power_set(X0)),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0] : member(X0,power_set(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI48) ).
fof(f62,plain,
! [X0,X1] :
( member(X1,power_set(X0))
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ( member(X1,power_set(X0))
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ~ member(X1,power_set(X0)) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( member(X1,power_set(X0))
<=> subset(X1,X0) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0,X2] :
( subset(X2,X0)
<=> member(X2,power_set(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',power_set) ).
fof(f87,plain,
subset(sK1,sK1),
inference(resolution,[],[f65,f86]) ).
fof(f86,plain,
~ member(sK2(sK1,sK1),sK1),
inference(resolution,[],[f64,f84]) ).
fof(f64,plain,
! [X0,X1] :
( subset(X1,X0)
| ~ member(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ( member(sK2(X0,X1),X1)
& ~ member(sK2(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f37,f38]) ).
fof(f38,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X1)
& ~ member(X3,X0) )
=> ( member(sK2(X0,X1),X1)
& ~ member(sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X3] :
( member(X3,X1)
& ~ member(X3,X0) ) ) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X1,X0] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) ) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X1,X0] :
( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
fof(f65,plain,
! [X0,X1] :
( member(sK2(X0,X1),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET705+4 : TPTP v8.1.0. Released v2.2.0.
% 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 : n006.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 14:25:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.47 % (22879)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.48 % (22888)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49 TRYING [1]
% 0.20/0.49 TRYING [2]
% 0.20/0.49 TRYING [3]
% 0.20/0.49 TRYING [4]
% 0.20/0.50 % (22885)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (22888)First to succeed.
% 0.20/0.50 % (22888)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (22888)------------------------------
% 0.20/0.50 % (22888)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (22888)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (22888)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (22888)Memory used [KB]: 895
% 0.20/0.50 % (22888)Time elapsed: 0.091 s
% 0.20/0.50 % (22888)Instructions burned: 3 (million)
% 0.20/0.50 % (22888)------------------------------
% 0.20/0.50 % (22888)------------------------------
% 0.20/0.50 % (22875)Success in time 0.151 s
%------------------------------------------------------------------------------