TSTP Solution File: SYN353+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN353+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 : n011.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 19:26:21 EDT 2022
% Result : Theorem 2.09s 0.63s
% Output : Refutation 2.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 3
% Syntax : Number of formulae : 68 ( 4 unt; 0 def)
% Number of atoms : 531 ( 0 equ)
% Maximal formula atoms : 72 ( 7 avg)
% Number of connectives : 702 ( 239 ~; 271 |; 154 &)
% ( 14 <=>; 22 =>; 0 <=; 2 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-3 aty)
% Number of variables : 160 ( 140 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f233,plain,
$false,
inference(subsumption_resolution,[],[f232,f214]) ).
fof(f214,plain,
! [X3,X4,X5] : big_f(X4,X5,X3),
inference(subsumption_resolution,[],[f207,f188]) ).
fof(f188,plain,
! [X2,X0,X1] :
( big_f(X0,X1,X2)
| ~ big_f(X2,X0,X1) ),
inference(subsumption_resolution,[],[f180,f150]) ).
fof(f150,plain,
! [X2,X0,X1] :
( big_f(X2,X0,X1)
| big_f(X1,X2,X0)
| ~ big_f(X0,X1,X2) ),
inference(resolution,[],[f149,f27]) ).
fof(f27,plain,
! [X2,X3,X1] :
( ~ big_f(sK0,sK0,sK1(X1,X2,X3))
| ~ big_f(X2,X1,X3)
| big_f(X1,X3,X2)
| big_f(X3,X2,X1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X1,X2,X3] :
( ( big_f(X3,X2,X1)
| ~ big_f(X2,X1,X3)
| ~ big_f(sK0,sK0,sK1(X1,X2,X3))
| big_f(X1,X3,X2) )
& ( ~ big_f(X3,X2,X1)
| ~ big_f(X2,X1,X3)
| ~ big_f(X1,X3,X2)
| ~ big_f(sK1(X1,X2,X3),sK1(X1,X2,X3),sK1(X1,X2,X3)) )
& ( ( big_f(X3,X2,X1)
& big_f(X2,X1,X3)
& big_f(X1,X3,X2) )
| big_f(sK1(X1,X2,X3),sK1(X1,X2,X3),sK1(X1,X2,X3)) )
& ( ( big_f(X2,X1,X3)
& big_f(X1,X3,X2) )
| ~ big_f(X3,X2,X1)
| ~ big_f(X1,X2,sK1(X1,X2,X3)) )
& ( big_f(X1,X2,sK1(X1,X2,X3))
| ( ( ~ big_f(X2,X1,X3)
| ~ big_f(X1,X3,X2) )
& big_f(X3,X2,X1) ) )
& ( big_f(sK1(X1,X2,X3),X1,X2)
| ( ~ big_f(X2,X1,X3)
& ( ~ big_f(X1,X3,X2)
| ~ big_f(X3,X2,X1) ) ) )
& ( big_f(X2,X1,X3)
| ( big_f(X1,X3,X2)
& big_f(X3,X2,X1) )
| ~ big_f(sK1(X1,X2,X3),X1,X2) )
& ( big_f(X2,sK1(X1,X2,X3),X1)
| ( ( ~ big_f(X2,X1,X3)
| ~ big_f(X3,X2,X1) )
& big_f(X1,X3,X2) ) )
& ( ( big_f(X2,X1,X3)
& big_f(X3,X2,X1) )
| ~ big_f(X1,X3,X2)
| ~ big_f(X2,sK1(X1,X2,X3),X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f9,f8]) ).
fof(f8,plain,
( ? [X0] :
! [X1,X2,X3] :
? [X4] :
( ( big_f(X3,X2,X1)
| ~ big_f(X2,X1,X3)
| ~ big_f(X0,X0,X4)
| big_f(X1,X3,X2) )
& ( ~ big_f(X3,X2,X1)
| ~ big_f(X2,X1,X3)
| ~ big_f(X1,X3,X2)
| ~ big_f(X4,X4,X4) )
& ( ( big_f(X3,X2,X1)
& big_f(X2,X1,X3)
& big_f(X1,X3,X2) )
| big_f(X4,X4,X4) )
& ( ( big_f(X2,X1,X3)
& big_f(X1,X3,X2) )
| ~ big_f(X3,X2,X1)
| ~ big_f(X1,X2,X4) )
& ( big_f(X1,X2,X4)
| ( ( ~ big_f(X2,X1,X3)
| ~ big_f(X1,X3,X2) )
& big_f(X3,X2,X1) ) )
& ( big_f(X4,X1,X2)
| ( ~ big_f(X2,X1,X3)
& ( ~ big_f(X1,X3,X2)
| ~ big_f(X3,X2,X1) ) ) )
& ( big_f(X2,X1,X3)
| ( big_f(X1,X3,X2)
& big_f(X3,X2,X1) )
| ~ big_f(X4,X1,X2) )
& ( big_f(X2,X4,X1)
| ( ( ~ big_f(X2,X1,X3)
| ~ big_f(X3,X2,X1) )
& big_f(X1,X3,X2) ) )
& ( ( big_f(X2,X1,X3)
& big_f(X3,X2,X1) )
| ~ big_f(X1,X3,X2)
| ~ big_f(X2,X4,X1) ) )
=> ! [X3,X2,X1] :
? [X4] :
( ( big_f(X3,X2,X1)
| ~ big_f(X2,X1,X3)
| ~ big_f(sK0,sK0,X4)
| big_f(X1,X3,X2) )
& ( ~ big_f(X3,X2,X1)
| ~ big_f(X2,X1,X3)
| ~ big_f(X1,X3,X2)
| ~ big_f(X4,X4,X4) )
& ( ( big_f(X3,X2,X1)
& big_f(X2,X1,X3)
& big_f(X1,X3,X2) )
| big_f(X4,X4,X4) )
& ( ( big_f(X2,X1,X3)
& big_f(X1,X3,X2) )
| ~ big_f(X3,X2,X1)
| ~ big_f(X1,X2,X4) )
& ( big_f(X1,X2,X4)
| ( ( ~ big_f(X2,X1,X3)
| ~ big_f(X1,X3,X2) )
& big_f(X3,X2,X1) ) )
& ( big_f(X4,X1,X2)
| ( ~ big_f(X2,X1,X3)
& ( ~ big_f(X1,X3,X2)
| ~ big_f(X3,X2,X1) ) ) )
& ( big_f(X2,X1,X3)
| ( big_f(X1,X3,X2)
& big_f(X3,X2,X1) )
| ~ big_f(X4,X1,X2) )
& ( big_f(X2,X4,X1)
| ( ( ~ big_f(X2,X1,X3)
| ~ big_f(X3,X2,X1) )
& big_f(X1,X3,X2) ) )
& ( ( big_f(X2,X1,X3)
& big_f(X3,X2,X1) )
| ~ big_f(X1,X3,X2)
| ~ big_f(X2,X4,X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
! [X1,X2,X3] :
( ? [X4] :
( ( big_f(X3,X2,X1)
| ~ big_f(X2,X1,X3)
| ~ big_f(sK0,sK0,X4)
| big_f(X1,X3,X2) )
& ( ~ big_f(X3,X2,X1)
| ~ big_f(X2,X1,X3)
| ~ big_f(X1,X3,X2)
| ~ big_f(X4,X4,X4) )
& ( ( big_f(X3,X2,X1)
& big_f(X2,X1,X3)
& big_f(X1,X3,X2) )
| big_f(X4,X4,X4) )
& ( ( big_f(X2,X1,X3)
& big_f(X1,X3,X2) )
| ~ big_f(X3,X2,X1)
| ~ big_f(X1,X2,X4) )
& ( big_f(X1,X2,X4)
| ( ( ~ big_f(X2,X1,X3)
| ~ big_f(X1,X3,X2) )
& big_f(X3,X2,X1) ) )
& ( big_f(X4,X1,X2)
| ( ~ big_f(X2,X1,X3)
& ( ~ big_f(X1,X3,X2)
| ~ big_f(X3,X2,X1) ) ) )
& ( big_f(X2,X1,X3)
| ( big_f(X1,X3,X2)
& big_f(X3,X2,X1) )
| ~ big_f(X4,X1,X2) )
& ( big_f(X2,X4,X1)
| ( ( ~ big_f(X2,X1,X3)
| ~ big_f(X3,X2,X1) )
& big_f(X1,X3,X2) ) )
& ( ( big_f(X2,X1,X3)
& big_f(X3,X2,X1) )
| ~ big_f(X1,X3,X2)
| ~ big_f(X2,X4,X1) ) )
=> ( ( big_f(X3,X2,X1)
| ~ big_f(X2,X1,X3)
| ~ big_f(sK0,sK0,sK1(X1,X2,X3))
| big_f(X1,X3,X2) )
& ( ~ big_f(X3,X2,X1)
| ~ big_f(X2,X1,X3)
| ~ big_f(X1,X3,X2)
| ~ big_f(sK1(X1,X2,X3),sK1(X1,X2,X3),sK1(X1,X2,X3)) )
& ( ( big_f(X3,X2,X1)
& big_f(X2,X1,X3)
& big_f(X1,X3,X2) )
| big_f(sK1(X1,X2,X3),sK1(X1,X2,X3),sK1(X1,X2,X3)) )
& ( ( big_f(X2,X1,X3)
& big_f(X1,X3,X2) )
| ~ big_f(X3,X2,X1)
| ~ big_f(X1,X2,sK1(X1,X2,X3)) )
& ( big_f(X1,X2,sK1(X1,X2,X3))
| ( ( ~ big_f(X2,X1,X3)
| ~ big_f(X1,X3,X2) )
& big_f(X3,X2,X1) ) )
& ( big_f(sK1(X1,X2,X3),X1,X2)
| ( ~ big_f(X2,X1,X3)
& ( ~ big_f(X1,X3,X2)
| ~ big_f(X3,X2,X1) ) ) )
& ( big_f(X2,X1,X3)
| ( big_f(X1,X3,X2)
& big_f(X3,X2,X1) )
| ~ big_f(sK1(X1,X2,X3),X1,X2) )
& ( big_f(X2,sK1(X1,X2,X3),X1)
| ( ( ~ big_f(X2,X1,X3)
| ~ big_f(X3,X2,X1) )
& big_f(X1,X3,X2) ) )
& ( ( big_f(X2,X1,X3)
& big_f(X3,X2,X1) )
| ~ big_f(X1,X3,X2)
| ~ big_f(X2,sK1(X1,X2,X3),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
? [X0] :
! [X1,X2,X3] :
? [X4] :
( ( big_f(X3,X2,X1)
| ~ big_f(X2,X1,X3)
| ~ big_f(X0,X0,X4)
| big_f(X1,X3,X2) )
& ( ~ big_f(X3,X2,X1)
| ~ big_f(X2,X1,X3)
| ~ big_f(X1,X3,X2)
| ~ big_f(X4,X4,X4) )
& ( ( big_f(X3,X2,X1)
& big_f(X2,X1,X3)
& big_f(X1,X3,X2) )
| big_f(X4,X4,X4) )
& ( ( big_f(X2,X1,X3)
& big_f(X1,X3,X2) )
| ~ big_f(X3,X2,X1)
| ~ big_f(X1,X2,X4) )
& ( big_f(X1,X2,X4)
| ( ( ~ big_f(X2,X1,X3)
| ~ big_f(X1,X3,X2) )
& big_f(X3,X2,X1) ) )
& ( big_f(X4,X1,X2)
| ( ~ big_f(X2,X1,X3)
& ( ~ big_f(X1,X3,X2)
| ~ big_f(X3,X2,X1) ) ) )
& ( big_f(X2,X1,X3)
| ( big_f(X1,X3,X2)
& big_f(X3,X2,X1) )
| ~ big_f(X4,X1,X2) )
& ( big_f(X2,X4,X1)
| ( ( ~ big_f(X2,X1,X3)
| ~ big_f(X3,X2,X1) )
& big_f(X1,X3,X2) ) )
& ( ( big_f(X2,X1,X3)
& big_f(X3,X2,X1) )
| ~ big_f(X1,X3,X2)
| ~ big_f(X2,X4,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f6,plain,
? [X0] :
! [X2,X1,X3] :
? [X4] :
( ( big_f(X3,X1,X2)
| ~ big_f(X1,X2,X3)
| ~ big_f(X0,X0,X4)
| big_f(X2,X3,X1) )
& ( ~ big_f(X3,X1,X2)
| ~ big_f(X1,X2,X3)
| ~ big_f(X2,X3,X1)
| ~ big_f(X4,X4,X4) )
& ( ( big_f(X3,X1,X2)
& big_f(X1,X2,X3)
& big_f(X2,X3,X1) )
| big_f(X4,X4,X4) )
& ( ( big_f(X1,X2,X3)
& big_f(X2,X3,X1) )
| ~ big_f(X3,X1,X2)
| ~ big_f(X2,X1,X4) )
& ( big_f(X2,X1,X4)
| ( ( ~ big_f(X1,X2,X3)
| ~ big_f(X2,X3,X1) )
& big_f(X3,X1,X2) ) )
& ( big_f(X4,X2,X1)
| ( ~ big_f(X1,X2,X3)
& ( ~ big_f(X2,X3,X1)
| ~ big_f(X3,X1,X2) ) ) )
& ( big_f(X1,X2,X3)
| ( big_f(X2,X3,X1)
& big_f(X3,X1,X2) )
| ~ big_f(X4,X2,X1) )
& ( big_f(X1,X4,X2)
| ( ( ~ big_f(X1,X2,X3)
| ~ big_f(X3,X1,X2) )
& big_f(X2,X3,X1) ) )
& ( ( big_f(X1,X2,X3)
& big_f(X3,X1,X2) )
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,X4,X2) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
? [X0] :
! [X2,X1,X3] :
? [X4] :
( ( big_f(X3,X1,X2)
| ~ big_f(X1,X2,X3)
| ~ big_f(X0,X0,X4)
| big_f(X2,X3,X1) )
& ( ~ big_f(X3,X1,X2)
| ~ big_f(X1,X2,X3)
| ~ big_f(X2,X3,X1)
| ~ big_f(X4,X4,X4) )
& ( ( big_f(X3,X1,X2)
& big_f(X1,X2,X3)
& big_f(X2,X3,X1) )
| big_f(X4,X4,X4) )
& ( ( big_f(X1,X2,X3)
& big_f(X2,X3,X1) )
| ~ big_f(X3,X1,X2)
| ~ big_f(X2,X1,X4) )
& ( big_f(X2,X1,X4)
| ( ( ~ big_f(X1,X2,X3)
| ~ big_f(X2,X3,X1) )
& big_f(X3,X1,X2) ) )
& ( big_f(X4,X2,X1)
| ( ~ big_f(X1,X2,X3)
& ( ~ big_f(X2,X3,X1)
| ~ big_f(X3,X1,X2) ) ) )
& ( big_f(X1,X2,X3)
| ( big_f(X2,X3,X1)
& big_f(X3,X1,X2) )
| ~ big_f(X4,X2,X1) )
& ( big_f(X1,X4,X2)
| ( ( ~ big_f(X1,X2,X3)
| ~ big_f(X3,X1,X2) )
& big_f(X2,X3,X1) ) )
& ( ( big_f(X1,X2,X3)
& big_f(X3,X1,X2) )
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,X4,X2) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,plain,
? [X0] :
! [X2,X1,X3] :
? [X4] :
( ( big_f(X3,X1,X2)
| ~ big_f(X1,X2,X3)
| ~ big_f(X0,X0,X4)
| big_f(X2,X3,X1) )
& ( big_f(X4,X4,X4)
<~> ( big_f(X3,X1,X2)
& big_f(X1,X2,X3)
& big_f(X2,X3,X1) ) )
& ( ( ( big_f(X1,X2,X3)
& big_f(X2,X3,X1) )
| ~ big_f(X3,X1,X2) )
<=> big_f(X2,X1,X4) )
& ( big_f(X4,X2,X1)
<=> ( big_f(X1,X2,X3)
| ( big_f(X2,X3,X1)
& big_f(X3,X1,X2) ) ) )
& ( big_f(X1,X4,X2)
<=> ( ( big_f(X1,X2,X3)
& big_f(X3,X1,X2) )
| ~ big_f(X2,X3,X1) ) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
? [X0] :
! [X3,X1,X2] :
? [X4] :
( ( big_f(X4,X4,X4)
<~> ( big_f(X3,X1,X2)
& big_f(X1,X2,X3)
& big_f(X2,X3,X1) ) )
& ( big_f(X4,X2,X1)
<=> ( big_f(X1,X2,X3)
| ( big_f(X2,X3,X1)
& big_f(X3,X1,X2) ) ) )
& ( big_f(X1,X4,X2)
<=> ( ( big_f(X1,X2,X3)
& big_f(X3,X1,X2) )
| ~ big_f(X2,X3,X1) ) )
& ( ( ( big_f(X1,X2,X3)
& big_f(X2,X3,X1) )
| ~ big_f(X3,X1,X2) )
<=> big_f(X2,X1,X4) )
& ( big_f(X3,X1,X2)
| big_f(X2,X3,X1)
| ~ big_f(X0,X0,X4)
| ~ big_f(X1,X2,X3) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
? [X3,X1,X2] :
! [X4] :
( ( big_f(X1,X2,X3)
=> ( big_f(X0,X0,X4)
=> ( big_f(X3,X1,X2)
| big_f(X2,X3,X1) ) ) )
=> ( ( ( big_f(X3,X1,X2)
=> ( big_f(X1,X2,X3)
& big_f(X2,X3,X1) ) )
<=> big_f(X2,X1,X4) )
=> ( ( ( big_f(X2,X3,X1)
=> ( big_f(X1,X2,X3)
& big_f(X3,X1,X2) ) )
<=> big_f(X1,X4,X2) )
=> ( ( ( ( big_f(X3,X1,X2)
=> ~ big_f(X2,X3,X1) )
=> big_f(X1,X2,X3) )
<=> big_f(X4,X2,X1) )
=> ( ( big_f(X3,X1,X2)
& big_f(X1,X2,X3)
& big_f(X2,X3,X1) )
<=> big_f(X4,X4,X4) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
? [X3,X1,X2] :
! [X4] :
( ( big_f(X1,X2,X3)
=> ( big_f(X0,X0,X4)
=> ( big_f(X3,X1,X2)
| big_f(X2,X3,X1) ) ) )
=> ( ( ( big_f(X3,X1,X2)
=> ( big_f(X1,X2,X3)
& big_f(X2,X3,X1) ) )
<=> big_f(X2,X1,X4) )
=> ( ( ( big_f(X2,X3,X1)
=> ( big_f(X1,X2,X3)
& big_f(X3,X1,X2) ) )
<=> big_f(X1,X4,X2) )
=> ( ( ( ( big_f(X3,X1,X2)
=> ~ big_f(X2,X3,X1) )
=> big_f(X1,X2,X3) )
<=> big_f(X4,X2,X1) )
=> ( ( big_f(X3,X1,X2)
& big_f(X1,X2,X3)
& big_f(X2,X3,X1) )
<=> big_f(X4,X4,X4) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_18_5) ).
fof(f149,plain,
! [X5] : big_f(sK0,sK0,X5),
inference(subsumption_resolution,[],[f148,f125]) ).
fof(f125,plain,
! [X2] :
( ~ big_f(sK0,sK1(sK0,sK0,X2),sK0)
| big_f(sK0,sK0,X2) ),
inference(resolution,[],[f121,f84]) ).
fof(f84,plain,
! [X0] :
( ~ big_f(sK1(sK0,sK0,X0),sK0,sK0)
| big_f(sK0,sK0,X0) ),
inference(subsumption_resolution,[],[f83,f15]) ).
fof(f15,plain,
! [X2,X3,X1] :
( ~ big_f(sK1(X1,X2,X3),X1,X2)
| big_f(X2,X1,X3)
| big_f(X3,X2,X1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f83,plain,
! [X0] :
( big_f(sK0,sK0,X0)
| ~ big_f(sK1(sK0,sK0,X0),sK0,sK0)
| ~ big_f(X0,sK0,sK0) ),
inference(duplicate_literal_removal,[],[f79]) ).
fof(f79,plain,
! [X0] :
( big_f(sK0,sK0,X0)
| ~ big_f(X0,sK0,sK0)
| big_f(sK0,sK0,X0)
| ~ big_f(sK1(sK0,sK0,X0),sK0,sK0) ),
inference(resolution,[],[f77,f67]) ).
fof(f67,plain,
! [X0] :
( ~ big_f(sK0,sK1(sK0,sK0,X0),sK0)
| big_f(sK0,sK0,X0)
| ~ big_f(X0,sK0,sK0) ),
inference(subsumption_resolution,[],[f65,f12]) ).
fof(f12,plain,
! [X2,X3,X1] :
( ~ big_f(X2,sK1(X1,X2,X3),X1)
| big_f(X2,X1,X3)
| ~ big_f(X1,X3,X2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f65,plain,
! [X0] :
( ~ big_f(sK0,sK1(sK0,sK0,X0),sK0)
| big_f(sK0,sK0,X0)
| ~ big_f(X0,sK0,sK0)
| big_f(sK0,X0,sK0) ),
inference(resolution,[],[f63,f16]) ).
fof(f16,plain,
! [X2,X3,X1] :
( ~ big_f(sK1(X1,X2,X3),X1,X2)
| big_f(X1,X3,X2)
| big_f(X2,X1,X3) ),
inference(cnf_transformation,[],[f10]) ).
fof(f63,plain,
! [X3] :
( big_f(sK1(sK0,sK0,X3),sK0,sK0)
| ~ big_f(X3,sK0,sK0)
| ~ big_f(sK0,sK1(sK0,sK0,X3),sK0) ),
inference(subsumption_resolution,[],[f59,f18]) ).
fof(f18,plain,
! [X2,X3,X1] :
( big_f(sK1(X1,X2,X3),X1,X2)
| ~ big_f(X2,X1,X3) ),
inference(cnf_transformation,[],[f10]) ).
fof(f59,plain,
! [X3] :
( big_f(sK0,sK0,X3)
| big_f(sK1(sK0,sK0,X3),sK0,sK0)
| ~ big_f(X3,sK0,sK0)
| ~ big_f(sK0,sK1(sK0,sK0,X3),sK0) ),
inference(resolution,[],[f56,f22]) ).
fof(f22,plain,
! [X2,X3,X1] :
( ~ big_f(X1,X2,sK1(X1,X2,X3))
| big_f(X2,X1,X3)
| ~ big_f(X3,X2,X1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f56,plain,
! [X1] :
( big_f(sK0,sK0,X1)
| ~ big_f(sK0,X1,sK0)
| big_f(X1,sK0,sK0) ),
inference(resolution,[],[f54,f19]) ).
fof(f19,plain,
! [X2,X3,X1] :
( big_f(X1,X2,sK1(X1,X2,X3))
| big_f(X3,X2,X1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f54,plain,
! [X1] :
( ~ big_f(sK0,sK0,sK1(sK0,sK0,X1))
| ~ big_f(sK0,X1,sK0)
| big_f(sK0,sK0,X1) ),
inference(subsumption_resolution,[],[f53,f22]) ).
fof(f53,plain,
! [X1] :
( big_f(sK0,sK0,X1)
| ~ big_f(sK0,X1,sK0)
| big_f(X1,sK0,sK0)
| ~ big_f(sK0,sK0,sK1(sK0,sK0,X1)) ),
inference(resolution,[],[f50,f15]) ).
fof(f50,plain,
! [X0] :
( big_f(sK1(sK0,sK0,X0),sK0,sK0)
| ~ big_f(sK0,X0,sK0)
| ~ big_f(sK0,sK0,sK1(sK0,sK0,X0)) ),
inference(subsumption_resolution,[],[f47,f18]) ).
fof(f47,plain,
! [X0] :
( big_f(sK0,sK0,X0)
| ~ big_f(sK0,X0,sK0)
| ~ big_f(sK0,sK0,sK1(sK0,sK0,X0))
| big_f(sK1(sK0,sK0,X0),sK0,sK0) ),
inference(resolution,[],[f42,f12]) ).
fof(f42,plain,
! [X1] :
( big_f(sK0,X1,sK0)
| big_f(X1,sK0,sK0)
| ~ big_f(sK0,sK0,X1) ),
inference(duplicate_literal_removal,[],[f41]) ).
fof(f41,plain,
! [X1] :
( big_f(X1,sK0,sK0)
| big_f(sK0,X1,sK0)
| big_f(X1,sK0,sK0)
| ~ big_f(sK0,sK0,X1) ),
inference(resolution,[],[f27,f19]) ).
fof(f77,plain,
! [X3] :
( big_f(sK0,sK1(sK0,sK0,X3),sK0)
| big_f(sK0,sK0,X3)
| ~ big_f(sK1(sK0,sK0,X3),sK0,sK0) ),
inference(subsumption_resolution,[],[f73,f15]) ).
fof(f73,plain,
! [X3] :
( big_f(sK0,sK1(sK0,sK0,X3),sK0)
| big_f(sK0,sK0,X3)
| ~ big_f(X3,sK0,sK0)
| ~ big_f(sK1(sK0,sK0,X3),sK0,sK0) ),
inference(resolution,[],[f70,f22]) ).
fof(f70,plain,
! [X2] :
( big_f(sK0,sK0,X2)
| ~ big_f(X2,sK0,sK0)
| big_f(sK0,X2,sK0) ),
inference(resolution,[],[f67,f13]) ).
fof(f13,plain,
! [X2,X3,X1] :
( big_f(X2,sK1(X1,X2,X3),X1)
| big_f(X1,X3,X2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f121,plain,
! [X1] :
( big_f(X1,sK0,sK0)
| ~ big_f(sK0,X1,sK0) ),
inference(subsumption_resolution,[],[f120,f19]) ).
fof(f120,plain,
! [X1] :
( ~ big_f(sK0,X1,sK0)
| ~ big_f(sK0,sK0,sK1(sK0,sK0,X1))
| big_f(X1,sK0,sK0) ),
inference(duplicate_literal_removal,[],[f114]) ).
fof(f114,plain,
! [X1] :
( ~ big_f(sK0,sK0,sK1(sK0,sK0,X1))
| big_f(X1,sK0,sK0)
| ~ big_f(sK0,X1,sK0)
| ~ big_f(sK0,X1,sK0) ),
inference(resolution,[],[f112,f50]) ).
fof(f112,plain,
! [X2] :
( ~ big_f(sK1(sK0,sK0,X2),sK0,sK0)
| big_f(X2,sK0,sK0)
| ~ big_f(sK0,X2,sK0) ),
inference(resolution,[],[f101,f11]) ).
fof(f11,plain,
! [X2,X3,X1] :
( ~ big_f(X2,sK1(X1,X2,X3),X1)
| big_f(X3,X2,X1)
| ~ big_f(X1,X3,X2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f101,plain,
! [X3] :
( big_f(sK0,X3,sK0)
| ~ big_f(X3,sK0,sK0) ),
inference(subsumption_resolution,[],[f98,f70]) ).
fof(f98,plain,
! [X3] :
( ~ big_f(X3,sK0,sK0)
| big_f(sK0,X3,sK0)
| ~ big_f(sK0,sK0,X3) ),
inference(resolution,[],[f93,f18]) ).
fof(f93,plain,
! [X4] :
( ~ big_f(sK1(sK0,sK0,X4),sK0,sK0)
| big_f(sK0,X4,sK0)
| ~ big_f(X4,sK0,sK0) ),
inference(resolution,[],[f90,f21]) ).
fof(f21,plain,
! [X2,X3,X1] :
( ~ big_f(X1,X2,sK1(X1,X2,X3))
| big_f(X1,X3,X2)
| ~ big_f(X3,X2,X1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f90,plain,
! [X2] :
( big_f(sK0,sK0,X2)
| ~ big_f(X2,sK0,sK0) ),
inference(subsumption_resolution,[],[f88,f70]) ).
fof(f88,plain,
! [X2] :
( big_f(sK0,sK0,X2)
| ~ big_f(sK0,X2,sK0)
| ~ big_f(X2,sK0,sK0) ),
inference(resolution,[],[f84,f17]) ).
fof(f17,plain,
! [X2,X3,X1] :
( big_f(sK1(X1,X2,X3),X1,X2)
| ~ big_f(X1,X3,X2)
| ~ big_f(X3,X2,X1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f148,plain,
! [X5] :
( big_f(sK0,sK0,X5)
| big_f(sK0,sK1(sK0,sK0,X5),sK0) ),
inference(subsumption_resolution,[],[f146,f13]) ).
fof(f146,plain,
! [X5] :
( big_f(sK0,sK1(sK0,sK0,X5),sK0)
| big_f(sK0,sK0,X5)
| ~ big_f(sK0,X5,sK0) ),
inference(resolution,[],[f141,f54]) ).
fof(f141,plain,
! [X4] :
( big_f(sK0,sK0,X4)
| big_f(sK0,X4,sK0) ),
inference(resolution,[],[f125,f13]) ).
fof(f180,plain,
! [X2,X0,X1] :
( ~ big_f(X1,X2,X0)
| big_f(X0,X1,X2)
| ~ big_f(X2,X0,X1) ),
inference(resolution,[],[f179,f17]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ big_f(sK1(X1,X0,X2),X1,X0)
| big_f(X0,X1,X2) ),
inference(subsumption_resolution,[],[f178,f15]) ).
fof(f178,plain,
! [X2,X0,X1] :
( ~ big_f(X2,X0,X1)
| big_f(X0,X1,X2)
| ~ big_f(sK1(X1,X0,X2),X1,X0) ),
inference(duplicate_literal_removal,[],[f173]) ).
fof(f173,plain,
! [X2,X0,X1] :
( big_f(X0,X1,X2)
| big_f(X0,X1,X2)
| ~ big_f(X2,X0,X1)
| ~ big_f(sK1(X1,X0,X2),X1,X0) ),
inference(resolution,[],[f169,f22]) ).
fof(f169,plain,
! [X2,X0,X1] :
( big_f(X0,X1,sK1(X0,X1,X2))
| big_f(X1,X0,X2)
| ~ big_f(sK1(X0,X1,X2),X0,X1) ),
inference(subsumption_resolution,[],[f154,f16]) ).
fof(f154,plain,
! [X2,X0,X1] :
( big_f(X0,X1,sK1(X0,X1,X2))
| big_f(X1,X0,X2)
| ~ big_f(X0,X2,X1)
| ~ big_f(sK1(X0,X1,X2),X0,X1) ),
inference(resolution,[],[f150,f12]) ).
fof(f207,plain,
! [X3,X4,X5] :
( big_f(X4,X5,X3)
| big_f(X3,X4,X5) ),
inference(resolution,[],[f191,f13]) ).
fof(f191,plain,
! [X8,X6,X7] :
( ~ big_f(X6,sK1(X7,X6,X8),X7)
| big_f(X6,X7,X8) ),
inference(resolution,[],[f188,f179]) ).
fof(f232,plain,
! [X28,X29,X27] : ~ big_f(X29,X27,X28),
inference(subsumption_resolution,[],[f231,f214]) ).
fof(f231,plain,
! [X28,X29,X27] :
( ~ big_f(X27,X28,X29)
| ~ big_f(X29,X27,X28) ),
inference(subsumption_resolution,[],[f224,f214]) ).
fof(f224,plain,
! [X28,X29,X27] :
( ~ big_f(X28,X29,X27)
| ~ big_f(X29,X27,X28)
| ~ big_f(X27,X28,X29) ),
inference(resolution,[],[f214,f26]) ).
fof(f26,plain,
! [X2,X3,X1] :
( ~ big_f(sK1(X1,X2,X3),sK1(X1,X2,X3),sK1(X1,X2,X3))
| ~ big_f(X1,X3,X2)
| ~ big_f(X2,X1,X3)
| ~ big_f(X3,X2,X1) ),
inference(cnf_transformation,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN353+1 : TPTP v8.1.0. Released v2.0.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 21:44:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.56 % (19505)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 (2999ds/15Mi)
% 0.20/0.57 % (19518)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.58 % (19526)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.58 % (19518)Instruction limit reached!
% 0.20/0.58 % (19518)------------------------------
% 0.20/0.58 % (19518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (19518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (19518)Termination reason: Unknown
% 0.20/0.58 % (19518)Termination phase: Preprocessing 3
% 0.20/0.58
% 0.20/0.58 % (19518)Memory used [KB]: 1407
% 0.20/0.58 % (19518)Time elapsed: 0.004 s
% 0.20/0.58 % (19518)Instructions burned: 2 (million)
% 0.20/0.58 % (19518)------------------------------
% 0.20/0.58 % (19518)------------------------------
% 0.20/0.59 % (19510)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.59 % (19514)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.59 % (19505)Instruction limit reached!
% 0.20/0.59 % (19505)------------------------------
% 0.20/0.59 % (19505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (19514)Instruction limit reached!
% 0.20/0.59 % (19514)------------------------------
% 0.20/0.59 % (19514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (19514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (19514)Termination reason: Unknown
% 0.20/0.59 % (19514)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (19514)Memory used [KB]: 5884
% 0.20/0.59 % (19514)Time elapsed: 0.164 s
% 0.20/0.59 % (19514)Instructions burned: 3 (million)
% 0.20/0.59 % (19514)------------------------------
% 0.20/0.59 % (19514)------------------------------
% 0.20/0.60 % (19521)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.60 % (19506)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.73/0.60 % (19502)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.73/0.60 % (19513)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.73/0.60 % (19505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.60 % (19505)Termination reason: Unknown
% 1.73/0.60 % (19505)Termination phase: Saturation
% 1.73/0.60
% 1.73/0.60 % (19505)Memory used [KB]: 1535
% 1.73/0.60 % (19505)Time elapsed: 0.160 s
% 1.73/0.60 % (19505)Instructions burned: 15 (million)
% 1.73/0.60 % (19505)------------------------------
% 1.73/0.60 % (19505)------------------------------
% 1.73/0.60 % (19500)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.73/0.60 % (19504)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.73/0.61 % (19513)Refutation not found, incomplete strategy% (19513)------------------------------
% 1.73/0.61 % (19513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.61 % (19513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.61 % (19513)Termination reason: Refutation not found, incomplete strategy
% 1.73/0.61
% 1.73/0.61 % (19513)Memory used [KB]: 5884
% 1.73/0.61 % (19513)Time elapsed: 0.167 s
% 1.73/0.61 % (19513)Instructions burned: 2 (million)
% 1.73/0.61 % (19513)------------------------------
% 1.73/0.61 % (19513)------------------------------
% 1.73/0.61 % (19500)First to succeed.
% 1.73/0.61 % (19523)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.73/0.61 % (19503)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.73/0.62 % (19515)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 2.09/0.62 % (19519)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 2.09/0.62 % (19516)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.09/0.62 % (19501)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 (2999ds/13Mi)
% 2.09/0.62 % (19502)Instruction limit reached!
% 2.09/0.62 % (19502)------------------------------
% 2.09/0.62 % (19502)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.62 % (19502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.62 % (19502)Termination reason: Unknown
% 2.09/0.62 % (19502)Termination phase: Saturation
% 2.09/0.62
% 2.09/0.62 % (19502)Memory used [KB]: 5884
% 2.09/0.62 % (19502)Time elapsed: 0.176 s
% 2.09/0.62 % (19502)Instructions burned: 3 (million)
% 2.09/0.62 % (19502)------------------------------
% 2.09/0.62 % (19502)------------------------------
% 2.09/0.62 % (19529)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 2.09/0.63 % (19510)Also succeeded, but the first one will report.
% 2.09/0.63 % (19500)Refutation found. Thanks to Tanya!
% 2.09/0.63 % SZS status Theorem for theBenchmark
% 2.09/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 2.09/0.63 % (19500)------------------------------
% 2.09/0.63 % (19500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.63 % (19500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.63 % (19500)Termination reason: Refutation
% 2.09/0.63
% 2.09/0.63 % (19500)Memory used [KB]: 6012
% 2.09/0.63 % (19500)Time elapsed: 0.183 s
% 2.09/0.63 % (19500)Instructions burned: 10 (million)
% 2.09/0.63 % (19500)------------------------------
% 2.09/0.63 % (19500)------------------------------
% 2.09/0.63 % (19499)Success in time 0.269 s
%------------------------------------------------------------------------------