TSTP Solution File: SYN332+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN332+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_uns --cores 0 -t %d %s
% Computer : n025.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 19:26:15 EDT 2022
% Result : Theorem 0.87s 0.67s
% Output : Refutation 0.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 2
% Syntax : Number of formulae : 27 ( 4 unt; 0 def)
% Number of atoms : 269 ( 0 equ)
% Maximal formula atoms : 60 ( 9 avg)
% Number of connectives : 347 ( 105 ~; 117 |; 90 &)
% ( 18 <=>; 11 =>; 0 <=; 6 <~>)
% Maximal formula depth : 17 ( 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 : 58 ( 48 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f97,plain,
$false,
inference(subsumption_resolution,[],[f96,f81]) ).
fof(f81,plain,
! [X6,X5] : big_f(X5,X6),
inference(subsumption_resolution,[],[f80,f64]) ).
fof(f64,plain,
! [X4,X5] :
( ~ big_f(X5,X4)
| big_f(X4,X5) ),
inference(resolution,[],[f12,f53]) ).
fof(f53,plain,
! [X0] : big_f(X0,X0),
inference(duplicate_literal_removal,[],[f46]) ).
fof(f46,plain,
! [X0] :
( big_f(X0,X0)
| big_f(X0,X0)
| big_f(X0,X0) ),
inference(resolution,[],[f20,f29]) ).
fof(f29,plain,
! [X2,X3] :
( big_f(sK0(X2,X3),X3)
| big_f(X3,X2) ),
inference(resolution,[],[f22,f13]) ).
fof(f13,plain,
! [X0,X1] :
( big_f(X1,sK0(X0,X1))
| big_f(X1,X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X1] :
( ( big_f(X1,sK0(X0,X1))
| ~ big_f(sK0(X0,X1),X1) )
& ( big_f(sK0(X0,X1),X1)
| ~ big_f(X1,sK0(X0,X1)) )
& ( ~ big_f(sK0(X0,X1),X0)
| ( ( ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X1,X0)
| big_f(X0,X1) ) ) )
& ( big_f(sK0(X0,X1),X0)
| ( ( big_f(X0,X1)
| ~ big_f(X1,X0) )
& ( big_f(X1,X0)
| ~ big_f(X0,X1) ) ) )
& ( big_f(X0,sK0(X0,X1))
| ~ big_f(X1,sK0(X0,X1)) )
& ( big_f(X1,sK0(X0,X1))
| ~ big_f(X0,sK0(X0,X1)) )
& ( ~ big_f(X0,X1)
| ~ big_f(X1,X0)
| ~ big_f(X1,sK0(X0,X1)) )
& ( ( big_f(X0,X1)
& big_f(X1,X0) )
| big_f(X1,sK0(X0,X1)) )
& ( ~ big_f(X0,X1)
| big_f(X1,X0)
| ~ big_f(sK0(X0,X1),sK0(X0,X1)) )
& ( big_f(sK0(X0,X1),sK0(X0,X1))
| ( big_f(X0,X1)
& ~ big_f(X1,X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f8]) ).
fof(f8,plain,
! [X0,X1] :
( ? [X2] :
( ( big_f(X1,X2)
| ~ big_f(X2,X1) )
& ( big_f(X2,X1)
| ~ big_f(X1,X2) )
& ( ~ big_f(X2,X0)
| ( ( ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X1,X0)
| big_f(X0,X1) ) ) )
& ( big_f(X2,X0)
| ( ( big_f(X0,X1)
| ~ big_f(X1,X0) )
& ( big_f(X1,X0)
| ~ big_f(X0,X1) ) ) )
& ( big_f(X0,X2)
| ~ big_f(X1,X2) )
& ( big_f(X1,X2)
| ~ big_f(X0,X2) )
& ( ~ big_f(X0,X1)
| ~ big_f(X1,X0)
| ~ big_f(X1,X2) )
& ( ( big_f(X0,X1)
& big_f(X1,X0) )
| big_f(X1,X2) )
& ( ~ big_f(X0,X1)
| big_f(X1,X0)
| ~ big_f(X2,X2) )
& ( big_f(X2,X2)
| ( big_f(X0,X1)
& ~ big_f(X1,X0) ) ) )
=> ( ( big_f(X1,sK0(X0,X1))
| ~ big_f(sK0(X0,X1),X1) )
& ( big_f(sK0(X0,X1),X1)
| ~ big_f(X1,sK0(X0,X1)) )
& ( ~ big_f(sK0(X0,X1),X0)
| ( ( ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X1,X0)
| big_f(X0,X1) ) ) )
& ( big_f(sK0(X0,X1),X0)
| ( ( big_f(X0,X1)
| ~ big_f(X1,X0) )
& ( big_f(X1,X0)
| ~ big_f(X0,X1) ) ) )
& ( big_f(X0,sK0(X0,X1))
| ~ big_f(X1,sK0(X0,X1)) )
& ( big_f(X1,sK0(X0,X1))
| ~ big_f(X0,sK0(X0,X1)) )
& ( ~ big_f(X0,X1)
| ~ big_f(X1,X0)
| ~ big_f(X1,sK0(X0,X1)) )
& ( ( big_f(X0,X1)
& big_f(X1,X0) )
| big_f(X1,sK0(X0,X1)) )
& ( ~ big_f(X0,X1)
| big_f(X1,X0)
| ~ big_f(sK0(X0,X1),sK0(X0,X1)) )
& ( big_f(sK0(X0,X1),sK0(X0,X1))
| ( big_f(X0,X1)
& ~ big_f(X1,X0) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
! [X0,X1] :
? [X2] :
( ( big_f(X1,X2)
| ~ big_f(X2,X1) )
& ( big_f(X2,X1)
| ~ big_f(X1,X2) )
& ( ~ big_f(X2,X0)
| ( ( ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X1,X0)
| big_f(X0,X1) ) ) )
& ( big_f(X2,X0)
| ( ( big_f(X0,X1)
| ~ big_f(X1,X0) )
& ( big_f(X1,X0)
| ~ big_f(X0,X1) ) ) )
& ( big_f(X0,X2)
| ~ big_f(X1,X2) )
& ( big_f(X1,X2)
| ~ big_f(X0,X2) )
& ( ~ big_f(X0,X1)
| ~ big_f(X1,X0)
| ~ big_f(X1,X2) )
& ( ( big_f(X0,X1)
& big_f(X1,X0) )
| big_f(X1,X2) )
& ( ~ big_f(X0,X1)
| big_f(X1,X0)
| ~ big_f(X2,X2) )
& ( big_f(X2,X2)
| ( big_f(X0,X1)
& ~ big_f(X1,X0) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,plain,
! [X1,X0] :
? [X2] :
( ( big_f(X0,X2)
| ~ big_f(X2,X0) )
& ( big_f(X2,X0)
| ~ big_f(X0,X2) )
& ( ~ big_f(X2,X1)
| ( ( ~ big_f(X0,X1)
| ~ big_f(X1,X0) )
& ( big_f(X0,X1)
| big_f(X1,X0) ) ) )
& ( big_f(X2,X1)
| ( ( big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X0,X1)
| ~ big_f(X1,X0) ) ) )
& ( big_f(X1,X2)
| ~ big_f(X0,X2) )
& ( big_f(X0,X2)
| ~ big_f(X1,X2) )
& ( ~ big_f(X1,X0)
| ~ big_f(X0,X1)
| ~ big_f(X0,X2) )
& ( ( big_f(X1,X0)
& big_f(X0,X1) )
| big_f(X0,X2) )
& ( ~ big_f(X1,X0)
| big_f(X0,X1)
| ~ big_f(X2,X2) )
& ( big_f(X2,X2)
| ( big_f(X1,X0)
& ~ big_f(X0,X1) ) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
! [X1,X0] :
? [X2] :
( ( big_f(X0,X2)
| ~ big_f(X2,X0) )
& ( big_f(X2,X0)
| ~ big_f(X0,X2) )
& ( ~ big_f(X2,X1)
| ( ( ~ big_f(X0,X1)
| ~ big_f(X1,X0) )
& ( big_f(X0,X1)
| big_f(X1,X0) ) ) )
& ( big_f(X2,X1)
| ( ( big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X0,X1)
| ~ big_f(X1,X0) ) ) )
& ( big_f(X1,X2)
| ~ big_f(X0,X2) )
& ( big_f(X0,X2)
| ~ big_f(X1,X2) )
& ( ~ big_f(X1,X0)
| ~ big_f(X0,X1)
| ~ big_f(X0,X2) )
& ( ( big_f(X1,X0)
& big_f(X0,X1) )
| big_f(X0,X2) )
& ( ~ big_f(X1,X0)
| big_f(X0,X1)
| ~ big_f(X2,X2) )
& ( big_f(X2,X2)
| ( big_f(X1,X0)
& ~ big_f(X0,X1) ) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,plain,
! [X1,X0] :
? [X2] :
( ( big_f(X0,X2)
<=> big_f(X2,X0) )
& ( ( big_f(X1,X0)
<=> big_f(X0,X1) )
<~> big_f(X2,X1) )
& ( big_f(X1,X2)
<=> big_f(X0,X2) )
& ( big_f(X0,X2)
<~> ( big_f(X1,X0)
& big_f(X0,X1) ) )
& ( ( ~ big_f(X1,X0)
| big_f(X0,X1) )
<=> big_f(X2,X2) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
! [X0,X1] :
? [X2] :
( ( ( big_f(X1,X0)
<=> big_f(X0,X1) )
<~> big_f(X2,X1) )
& ( ( ~ big_f(X1,X0)
| big_f(X0,X1) )
<=> big_f(X2,X2) )
& ( big_f(X1,X2)
<=> big_f(X0,X2) )
& ( big_f(X0,X2)
<=> big_f(X2,X0) )
& ( big_f(X0,X2)
<~> ( big_f(X1,X0)
& big_f(X0,X1) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ? [X0,X1] :
! [X2] :
( ( big_f(X0,X2)
<~> ( big_f(X1,X0)
& big_f(X0,X1) ) )
=> ( ( big_f(X0,X2)
<=> big_f(X2,X0) )
=> ( ( big_f(X1,X2)
<=> big_f(X0,X2) )
=> ( ( big_f(X2,X2)
<=> ( big_f(X1,X0)
=> big_f(X0,X1) ) )
=> ( ( big_f(X1,X0)
<=> big_f(X0,X1) )
<=> big_f(X2,X1) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
? [X0,X1] :
! [X2] :
( ( big_f(X0,X2)
<~> ( big_f(X1,X0)
& big_f(X0,X1) ) )
=> ( ( big_f(X0,X2)
<=> big_f(X2,X0) )
=> ( ( big_f(X1,X2)
<=> big_f(X0,X2) )
=> ( ( big_f(X2,X2)
<=> ( big_f(X1,X0)
=> big_f(X0,X1) ) )
=> ( ( big_f(X1,X0)
<=> big_f(X0,X1) )
<=> big_f(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_14_4) ).
fof(f22,plain,
! [X0,X1] :
( ~ big_f(X1,sK0(X0,X1))
| big_f(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f20,plain,
! [X0,X1] :
( ~ big_f(sK0(X0,X1),X0)
| big_f(X1,X0)
| big_f(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f12,plain,
! [X0,X1] :
( ~ big_f(sK0(X0,X1),sK0(X0,X1))
| big_f(X1,X0)
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f80,plain,
! [X6,X5] :
( big_f(X6,X5)
| big_f(X5,X6) ),
inference(duplicate_literal_removal,[],[f79]) ).
fof(f79,plain,
! [X6,X5] :
( big_f(X5,X6)
| big_f(X6,X5)
| big_f(X5,X6) ),
inference(resolution,[],[f67,f20]) ).
fof(f67,plain,
! [X4,X5] :
( big_f(sK0(X4,X5),X4)
| big_f(X5,X4) ),
inference(resolution,[],[f64,f27]) ).
fof(f27,plain,
! [X2,X3] :
( big_f(X2,sK0(X2,X3))
| big_f(X3,X2) ),
inference(resolution,[],[f17,f13]) ).
fof(f17,plain,
! [X0,X1] :
( ~ big_f(X1,sK0(X0,X1))
| big_f(X0,sK0(X0,X1)) ),
inference(cnf_transformation,[],[f9]) ).
fof(f96,plain,
! [X2,X3] : ~ big_f(X3,X2),
inference(subsumption_resolution,[],[f88,f81]) ).
fof(f88,plain,
! [X2,X3] :
( ~ big_f(X2,X3)
| ~ big_f(X3,X2) ),
inference(resolution,[],[f81,f15]) ).
fof(f15,plain,
! [X0,X1] :
( ~ big_f(X1,sK0(X0,X1))
| ~ big_f(X1,X0)
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN332+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n025.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 21:53:30 EDT 2022
% 0.13/0.34 % CPUTime :
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% 0.20/0.47 ipcrm: permission denied for id (687407195)
% 0.20/0.47 ipcrm: permission denied for id (687439964)
% 0.20/0.47 ipcrm: permission denied for id (687472733)
% 0.20/0.47 ipcrm: permission denied for id (687505502)
% 0.20/0.48 ipcrm: permission denied for id (687538271)
% 0.20/0.48 ipcrm: permission denied for id (691109985)
% 0.20/0.48 ipcrm: permission denied for id (687669347)
% 0.20/0.48 ipcrm: permission denied for id (691175524)
% 0.20/0.48 ipcrm: permission denied for id (690192485)
% 0.20/0.49 ipcrm: permission denied for id (684720233)
% 0.20/0.49 ipcrm: permission denied for id (684753003)
% 0.20/0.49 ipcrm: permission denied for id (687964268)
% 0.20/0.49 ipcrm: permission denied for id (690356333)
% 0.20/0.49 ipcrm: permission denied for id (688029806)
% 0.20/0.50 ipcrm: permission denied for id (688062575)
% 0.20/0.50 ipcrm: permission denied for id (688128113)
% 0.20/0.50 ipcrm: permission denied for id (684785779)
% 0.20/0.50 ipcrm: permission denied for id (688193652)
% 0.20/0.50 ipcrm: permission denied for id (688259190)
% 0.20/0.51 ipcrm: permission denied for id (690520183)
% 0.20/0.51 ipcrm: permission denied for id (688324728)
% 0.20/0.51 ipcrm: permission denied for id (688390266)
% 0.20/0.51 ipcrm: permission denied for id (688488573)
% 0.20/0.52 ipcrm: permission denied for id (688554111)
% 0.87/0.65 % (32128)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 0.87/0.65 % (32124)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/13Mi)
% 0.87/0.66 % (32124)First to succeed.
% 0.87/0.67 % (32124)Refutation found. Thanks to Tanya!
% 0.87/0.67 % SZS status Theorem for theBenchmark
% 0.87/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 0.87/0.67 % (32124)------------------------------
% 0.87/0.67 % (32124)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.87/0.67 % (32124)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.87/0.67 % (32124)Termination reason: Refutation
% 0.87/0.67
% 0.87/0.67 % (32124)Memory used [KB]: 5884
% 0.87/0.67 % (32124)Time elapsed: 0.096 s
% 0.87/0.67 % (32124)Instructions burned: 3 (million)
% 0.87/0.67 % (32124)------------------------------
% 0.87/0.67 % (32124)------------------------------
% 0.87/0.67 % (31989)Success in time 0.317 s
%------------------------------------------------------------------------------