TSTP Solution File: SYN331+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN331+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 : 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 19:37:33 EDT 2022
% Result : Theorem 0.17s 0.49s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 107 ( 0 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 121 ( 33 ~; 29 |; 46 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 43 ( 33 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36,plain,
$false,
inference(subsumption_resolution,[],[f19,f35]) ).
fof(f35,plain,
! [X0,X1] : big_f(X1,X0),
inference(subsumption_resolution,[],[f18,f32]) ).
fof(f32,plain,
! [X0] : big_f(X0,X0),
inference(factoring,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( big_f(X1,X0)
| big_f(X0,X1) ),
inference(resolution,[],[f23,f18]) ).
fof(f23,plain,
! [X0,X1] :
( big_f(sK0(X0,X1),sK0(X0,X1))
| big_f(X0,X1) ),
inference(literal_reordering,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( big_f(X0,X1)
| big_f(sK0(X0,X1),sK0(X0,X1)) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X1] :
( ~ big_f(sK0(X0,X1),X0)
& big_f(X0,sK0(X0,X1))
& ( big_f(sK0(X0,X1),sK0(X0,X1))
| big_f(X0,X1) )
& big_f(X1,sK0(X0,X1))
& ~ big_f(sK0(X0,X1),X1)
& ( big_f(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(X1,X0) )
& ( big_f(X1,X0)
| ~ big_f(sK0(X0,X1),sK0(X0,X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f8]) ).
fof(f8,plain,
! [X0,X1] :
( ? [X2] :
( ~ big_f(X2,X0)
& big_f(X0,X2)
& ( big_f(X2,X2)
| big_f(X0,X1) )
& big_f(X1,X2)
& ~ big_f(X2,X1)
& ( big_f(X2,X2)
| ~ big_f(X1,X0) )
& ( big_f(X1,X0)
| ~ big_f(X2,X2) ) )
=> ( ~ big_f(sK0(X0,X1),X0)
& big_f(X0,sK0(X0,X1))
& ( big_f(sK0(X0,X1),sK0(X0,X1))
| big_f(X0,X1) )
& big_f(X1,sK0(X0,X1))
& ~ big_f(sK0(X0,X1),X1)
& ( big_f(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(X1,X0) )
& ( big_f(X1,X0)
| ~ big_f(sK0(X0,X1),sK0(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
! [X0,X1] :
? [X2] :
( ~ big_f(X2,X0)
& big_f(X0,X2)
& ( big_f(X2,X2)
| big_f(X0,X1) )
& big_f(X1,X2)
& ~ big_f(X2,X1)
& ( big_f(X2,X2)
| ~ big_f(X1,X0) )
& ( big_f(X1,X0)
| ~ big_f(X2,X2) ) ),
inference(rectify,[],[f6]) ).
fof(f6,plain,
! [X1,X0] :
? [X2] :
( ~ big_f(X2,X1)
& big_f(X1,X2)
& ( big_f(X2,X2)
| big_f(X1,X0) )
& big_f(X0,X2)
& ~ big_f(X2,X0)
& ( big_f(X2,X2)
| ~ big_f(X0,X1) )
& ( big_f(X0,X1)
| ~ big_f(X2,X2) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
! [X1,X0] :
? [X2] :
( ~ big_f(X2,X1)
& big_f(X1,X2)
& ( big_f(X2,X2)
| big_f(X1,X0) )
& big_f(X0,X2)
& ~ big_f(X2,X0)
& ( big_f(X2,X2)
| ~ big_f(X0,X1) )
& ( big_f(X0,X1)
| ~ big_f(X2,X2) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,plain,
! [X1,X0] :
? [X2] :
( ~ big_f(X2,X1)
& big_f(X1,X2)
& ( big_f(X2,X2)
| big_f(X1,X0) )
& big_f(X0,X2)
& ~ big_f(X2,X0)
& ( big_f(X2,X2)
<=> big_f(X0,X1) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
! [X0,X1] :
? [X2] :
( ~ big_f(X2,X0)
& ~ big_f(X2,X1)
& ( big_f(X2,X2)
| big_f(X1,X0) )
& ( big_f(X2,X2)
<=> big_f(X0,X1) )
& big_f(X1,X2)
& big_f(X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ? [X0,X1] :
! [X2] :
( big_f(X0,X2)
=> ( big_f(X1,X2)
=> ( ( big_f(X2,X2)
<=> big_f(X0,X1) )
=> ( ( big_f(X2,X2)
| big_f(X1,X0) )
=> ( big_f(X2,X0)
| big_f(X2,X1) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
? [X0,X1] :
! [X2] :
( big_f(X0,X2)
=> ( big_f(X1,X2)
=> ( ( big_f(X2,X2)
<=> big_f(X0,X1) )
=> ( ( big_f(X2,X2)
| big_f(X1,X0) )
=> ( big_f(X2,X0)
| big_f(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_14_3) ).
fof(f18,plain,
! [X0,X1] :
( ~ big_f(sK0(X0,X1),sK0(X0,X1))
| big_f(X1,X0) ),
inference(literal_reordering,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
( ~ big_f(sK0(X0,X1),sK0(X0,X1))
| big_f(X1,X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f19,plain,
! [X0,X1] : ~ big_f(sK0(X0,X1),X1),
inference(literal_reordering,[],[f12]) ).
fof(f12,plain,
! [X0,X1] : ~ big_f(sK0(X0,X1),X1),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN331+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.33 % Computer : n001.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Aug 30 22:05:47 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.17/0.47 % (12155)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)
% 0.17/0.49 % (12155)First to succeed.
% 0.17/0.49 % (12147)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.17/0.49 % (12155)Refutation found. Thanks to Tanya!
% 0.17/0.49 % SZS status Theorem for theBenchmark
% 0.17/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.49 % (12155)------------------------------
% 0.17/0.49 % (12155)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49 % (12155)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49 % (12155)Termination reason: Refutation
% 0.17/0.49
% 0.17/0.49 % (12155)Memory used [KB]: 5628
% 0.17/0.49 % (12155)Time elapsed: 0.008 s
% 0.17/0.49 % (12155)Instructions burned: 3 (million)
% 0.17/0.49 % (12155)------------------------------
% 0.17/0.49 % (12155)------------------------------
% 0.17/0.49 % (12140)Success in time 0.157 s
%------------------------------------------------------------------------------