TSTP Solution File: SYN326+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN326+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n022.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 19:37:31 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 81 ( 21 ~; 13 |; 30 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 23 ( 15 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,plain,
$false,
inference(subsumption_resolution,[],[f16,f15]) ).
fof(f15,plain,
! [X0] : ~ big_g(X0),
inference(resolution,[],[f14,f7]) ).
fof(f7,plain,
! [X0] :
( big_h(sK1(X0))
| ~ big_g(X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
! [X0] :
( big_f(X0,sK0(X0))
& ( big_f(X0,X0)
| ( big_f(sK0(X0),sK1(X0))
& big_g(sK0(X0))
& ~ big_h(X0) ) )
& ~ big_f(sK1(X0),sK1(X0))
& ( big_h(sK1(X0))
| ( big_f(sK1(X0),X0)
& ~ big_g(X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f4,f5]) ).
fof(f5,plain,
! [X0] :
( ? [X1,X2] :
( big_f(X0,X1)
& ( big_f(X0,X0)
| ( big_f(X1,X2)
& big_g(X1)
& ~ big_h(X0) ) )
& ~ big_f(X2,X2)
& ( big_h(X2)
| ( big_f(X2,X0)
& ~ big_g(X0) ) ) )
=> ( big_f(X0,sK0(X0))
& ( big_f(X0,X0)
| ( big_f(sK0(X0),sK1(X0))
& big_g(sK0(X0))
& ~ big_h(X0) ) )
& ~ big_f(sK1(X0),sK1(X0))
& ( big_h(sK1(X0))
| ( big_f(sK1(X0),X0)
& ~ big_g(X0) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f4,plain,
! [X0] :
? [X1,X2] :
( big_f(X0,X1)
& ( big_f(X0,X0)
| ( big_f(X1,X2)
& big_g(X1)
& ~ big_h(X0) ) )
& ~ big_f(X2,X2)
& ( big_h(X2)
| ( big_f(X2,X0)
& ~ big_g(X0) ) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
! [X0] :
? [X2,X1] :
( ~ big_f(X2,X2)
& big_f(X0,X1)
& ( big_h(X2)
| ( big_f(X2,X0)
& ~ big_g(X0) ) )
& ( big_f(X0,X0)
| ( ~ big_h(X0)
& big_g(X1)
& big_f(X1,X2) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ? [X0] :
! [X2,X1] :
( ( ( big_f(X1,X2)
=> ( big_g(X1)
=> big_h(X0) ) )
=> big_f(X0,X0) )
=> ( ( ( big_f(X2,X0)
=> big_g(X0) )
=> big_h(X2) )
=> ( big_f(X0,X1)
=> big_f(X2,X2) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
? [X0] :
! [X2,X1] :
( ( ( big_f(X1,X2)
=> ( big_g(X1)
=> big_h(X0) ) )
=> big_f(X0,X0) )
=> ( ( ( big_f(X2,X0)
=> big_g(X0) )
=> big_h(X2) )
=> ( big_f(X0,X1)
=> big_f(X2,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_12_1) ).
fof(f14,plain,
! [X0] : ~ big_h(sK1(X0)),
inference(resolution,[],[f10,f9]) ).
fof(f9,plain,
! [X0] : ~ big_f(sK1(X0),sK1(X0)),
inference(cnf_transformation,[],[f6]) ).
fof(f10,plain,
! [X0] :
( big_f(X0,X0)
| ~ big_h(X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f16,plain,
! [X0] : big_g(sK0(sK1(X0))),
inference(resolution,[],[f11,f9]) ).
fof(f11,plain,
! [X0] :
( big_f(X0,X0)
| big_g(sK0(X0)) ),
inference(cnf_transformation,[],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN326+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % 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 : n022.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 21:44:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.48 % (2782)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.48 % (2782)First to succeed.
% 0.19/0.48 % (2782)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Theorem for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48 % (2782)------------------------------
% 0.19/0.48 % (2782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (2782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (2782)Termination reason: Refutation
% 0.19/0.48
% 0.19/0.48 % (2782)Memory used [KB]: 5373
% 0.19/0.48 % (2782)Time elapsed: 0.090 s
% 0.19/0.48 % (2782)Instructions burned: 1 (million)
% 0.19/0.48 % (2782)------------------------------
% 0.19/0.48 % (2782)------------------------------
% 0.19/0.48 % (2769)Success in time 0.14 s
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