TSTP Solution File: SYN353+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SYN353+1 : TPTP v8.2.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 : Mon Jun 24 19:38:18 EDT 2024
% Result : Theorem 1.75s 1.01s
% Output : CNFRefutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 3
% Syntax : Number of formulae : 97 ( 10 unt; 0 def)
% Number of atoms : 558 ( 0 equ)
% Maximal formula atoms : 72 ( 5 avg)
% Number of connectives : 683 ( 222 ~; 285 |; 138 &)
% ( 14 <=>; 22 =>; 0 <=; 2 <~>)
% Maximal formula depth : 19 ( 5 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 : 239 ( 12 sgn 64 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
? [X1,X2,X3] :
! [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(X2,X3,X1)
& big_f(X1,X2,X3) ) )
<=> big_f(X2,X1,X4) )
=> ( ( ( big_f(X2,X3,X1)
=> ( big_f(X3,X1,X2)
& big_f(X1,X2,X3) ) )
<=> 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(X2,X3,X1)
& big_f(X1,X2,X3) )
<=> big_f(X4,X4,X4) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_18_5) ).
fof(f2,negated_conjecture,
~ ! [X0] :
? [X1,X2,X3] :
! [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(X2,X3,X1)
& big_f(X1,X2,X3) ) )
<=> big_f(X2,X1,X4) )
=> ( ( ( big_f(X2,X3,X1)
=> ( big_f(X3,X1,X2)
& big_f(X1,X2,X3) ) )
<=> 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(X2,X3,X1)
& big_f(X1,X2,X3) )
<=> big_f(X4,X4,X4) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,plain,
? [X0] :
! [X1,X2,X3] :
? [X4] :
( ( ( big_f(X3,X1,X2)
& big_f(X2,X3,X1)
& big_f(X1,X2,X3) )
<~> big_f(X4,X4,X4) )
& ( ( big_f(X1,X2,X3)
| ( big_f(X2,X3,X1)
& big_f(X3,X1,X2) ) )
<=> big_f(X4,X2,X1) )
& ( ( ( big_f(X3,X1,X2)
& big_f(X1,X2,X3) )
| ~ big_f(X2,X3,X1) )
<=> big_f(X1,X4,X2) )
& ( ( ( big_f(X2,X3,X1)
& big_f(X1,X2,X3) )
| ~ 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(f4,plain,
? [X0] :
! [X1,X2,X3] :
? [X4] :
( ( ( big_f(X3,X1,X2)
& big_f(X2,X3,X1)
& big_f(X1,X2,X3) )
<~> big_f(X4,X4,X4) )
& ( ( big_f(X1,X2,X3)
| ( big_f(X2,X3,X1)
& big_f(X3,X1,X2) ) )
<=> big_f(X4,X2,X1) )
& ( ( ( big_f(X3,X1,X2)
& big_f(X1,X2,X3) )
| ~ big_f(X2,X3,X1) )
<=> big_f(X1,X4,X2) )
& ( ( ( big_f(X2,X3,X1)
& big_f(X1,X2,X3) )
| ~ 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(flattening,[],[f3]) ).
fof(f5,plain,
? [X0] :
! [X1,X2,X3] :
? [X4] :
( ( ~ big_f(X4,X4,X4)
| ~ big_f(X3,X1,X2)
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,X2,X3) )
& ( big_f(X4,X4,X4)
| ( big_f(X3,X1,X2)
& big_f(X2,X3,X1)
& big_f(X1,X2,X3) ) )
& ( big_f(X1,X2,X3)
| ( big_f(X2,X3,X1)
& big_f(X3,X1,X2) )
| ~ big_f(X4,X2,X1) )
& ( big_f(X4,X2,X1)
| ( ~ big_f(X1,X2,X3)
& ( ~ big_f(X2,X3,X1)
| ~ big_f(X3,X1,X2) ) ) )
& ( ( big_f(X3,X1,X2)
& big_f(X1,X2,X3) )
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,X4,X2) )
& ( big_f(X1,X4,X2)
| ( ( ~ big_f(X3,X1,X2)
| ~ big_f(X1,X2,X3) )
& big_f(X2,X3,X1) ) )
& ( ( big_f(X2,X3,X1)
& big_f(X1,X2,X3) )
| ~ big_f(X3,X1,X2)
| ~ big_f(X2,X1,X4) )
& ( big_f(X2,X1,X4)
| ( ( ~ big_f(X2,X3,X1)
| ~ big_f(X1,X2,X3) )
& big_f(X3,X1,X2) ) )
& ( big_f(X3,X1,X2)
| big_f(X2,X3,X1)
| ~ big_f(X0,X0,X4)
| ~ big_f(X1,X2,X3) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f6,plain,
? [X0] :
! [X1,X2,X3] :
? [X4] :
( ( ~ big_f(X4,X4,X4)
| ~ big_f(X3,X1,X2)
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,X2,X3) )
& ( big_f(X4,X4,X4)
| ( big_f(X3,X1,X2)
& big_f(X2,X3,X1)
& big_f(X1,X2,X3) ) )
& ( big_f(X1,X2,X3)
| ( big_f(X2,X3,X1)
& big_f(X3,X1,X2) )
| ~ big_f(X4,X2,X1) )
& ( big_f(X4,X2,X1)
| ( ~ big_f(X1,X2,X3)
& ( ~ big_f(X2,X3,X1)
| ~ big_f(X3,X1,X2) ) ) )
& ( ( big_f(X3,X1,X2)
& big_f(X1,X2,X3) )
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,X4,X2) )
& ( big_f(X1,X4,X2)
| ( ( ~ big_f(X3,X1,X2)
| ~ big_f(X1,X2,X3) )
& big_f(X2,X3,X1) ) )
& ( ( big_f(X2,X3,X1)
& big_f(X1,X2,X3) )
| ~ big_f(X3,X1,X2)
| ~ big_f(X2,X1,X4) )
& ( big_f(X2,X1,X4)
| ( ( ~ big_f(X2,X3,X1)
| ~ big_f(X1,X2,X3) )
& big_f(X3,X1,X2) ) )
& ( big_f(X3,X1,X2)
| big_f(X2,X3,X1)
| ~ big_f(X0,X0,X4)
| ~ big_f(X1,X2,X3) ) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
( ? [X0] :
! [X1,X2,X3] :
? [X4] :
( ( ~ big_f(X4,X4,X4)
| ~ big_f(X3,X1,X2)
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,X2,X3) )
& ( big_f(X4,X4,X4)
| ( big_f(X3,X1,X2)
& big_f(X2,X3,X1)
& big_f(X1,X2,X3) ) )
& ( big_f(X1,X2,X3)
| ( big_f(X2,X3,X1)
& big_f(X3,X1,X2) )
| ~ big_f(X4,X2,X1) )
& ( big_f(X4,X2,X1)
| ( ~ big_f(X1,X2,X3)
& ( ~ big_f(X2,X3,X1)
| ~ big_f(X3,X1,X2) ) ) )
& ( ( big_f(X3,X1,X2)
& big_f(X1,X2,X3) )
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,X4,X2) )
& ( big_f(X1,X4,X2)
| ( ( ~ big_f(X3,X1,X2)
| ~ big_f(X1,X2,X3) )
& big_f(X2,X3,X1) ) )
& ( ( big_f(X2,X3,X1)
& big_f(X1,X2,X3) )
| ~ big_f(X3,X1,X2)
| ~ big_f(X2,X1,X4) )
& ( big_f(X2,X1,X4)
| ( ( ~ big_f(X2,X3,X1)
| ~ big_f(X1,X2,X3) )
& big_f(X3,X1,X2) ) )
& ( big_f(X3,X1,X2)
| big_f(X2,X3,X1)
| ~ big_f(X0,X0,X4)
| ~ big_f(X1,X2,X3) ) )
=> ! [X3,X2,X1] :
? [X4] :
( ( ~ big_f(X4,X4,X4)
| ~ big_f(X3,X1,X2)
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,X2,X3) )
& ( big_f(X4,X4,X4)
| ( big_f(X3,X1,X2)
& big_f(X2,X3,X1)
& big_f(X1,X2,X3) ) )
& ( big_f(X1,X2,X3)
| ( big_f(X2,X3,X1)
& big_f(X3,X1,X2) )
| ~ big_f(X4,X2,X1) )
& ( big_f(X4,X2,X1)
| ( ~ big_f(X1,X2,X3)
& ( ~ big_f(X2,X3,X1)
| ~ big_f(X3,X1,X2) ) ) )
& ( ( big_f(X3,X1,X2)
& big_f(X1,X2,X3) )
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,X4,X2) )
& ( big_f(X1,X4,X2)
| ( ( ~ big_f(X3,X1,X2)
| ~ big_f(X1,X2,X3) )
& big_f(X2,X3,X1) ) )
& ( ( big_f(X2,X3,X1)
& big_f(X1,X2,X3) )
| ~ big_f(X3,X1,X2)
| ~ big_f(X2,X1,X4) )
& ( big_f(X2,X1,X4)
| ( ( ~ big_f(X2,X3,X1)
| ~ big_f(X1,X2,X3) )
& big_f(X3,X1,X2) ) )
& ( big_f(X3,X1,X2)
| big_f(X2,X3,X1)
| ~ big_f(sK0,sK0,X4)
| ~ big_f(X1,X2,X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
! [X1,X2,X3] :
( ? [X4] :
( ( ~ big_f(X4,X4,X4)
| ~ big_f(X3,X1,X2)
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,X2,X3) )
& ( big_f(X4,X4,X4)
| ( big_f(X3,X1,X2)
& big_f(X2,X3,X1)
& big_f(X1,X2,X3) ) )
& ( big_f(X1,X2,X3)
| ( big_f(X2,X3,X1)
& big_f(X3,X1,X2) )
| ~ big_f(X4,X2,X1) )
& ( big_f(X4,X2,X1)
| ( ~ big_f(X1,X2,X3)
& ( ~ big_f(X2,X3,X1)
| ~ big_f(X3,X1,X2) ) ) )
& ( ( big_f(X3,X1,X2)
& big_f(X1,X2,X3) )
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,X4,X2) )
& ( big_f(X1,X4,X2)
| ( ( ~ big_f(X3,X1,X2)
| ~ big_f(X1,X2,X3) )
& big_f(X2,X3,X1) ) )
& ( ( big_f(X2,X3,X1)
& big_f(X1,X2,X3) )
| ~ big_f(X3,X1,X2)
| ~ big_f(X2,X1,X4) )
& ( big_f(X2,X1,X4)
| ( ( ~ big_f(X2,X3,X1)
| ~ big_f(X1,X2,X3) )
& big_f(X3,X1,X2) ) )
& ( big_f(X3,X1,X2)
| big_f(X2,X3,X1)
| ~ big_f(sK0,sK0,X4)
| ~ big_f(X1,X2,X3) ) )
=> ( ( ~ big_f(sK1(X1,X2,X3),sK1(X1,X2,X3),sK1(X1,X2,X3))
| ~ big_f(X3,X1,X2)
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,X2,X3) )
& ( big_f(sK1(X1,X2,X3),sK1(X1,X2,X3),sK1(X1,X2,X3))
| ( big_f(X3,X1,X2)
& big_f(X2,X3,X1)
& big_f(X1,X2,X3) ) )
& ( big_f(X1,X2,X3)
| ( big_f(X2,X3,X1)
& big_f(X3,X1,X2) )
| ~ big_f(sK1(X1,X2,X3),X2,X1) )
& ( big_f(sK1(X1,X2,X3),X2,X1)
| ( ~ big_f(X1,X2,X3)
& ( ~ big_f(X2,X3,X1)
| ~ big_f(X3,X1,X2) ) ) )
& ( ( big_f(X3,X1,X2)
& big_f(X1,X2,X3) )
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,sK1(X1,X2,X3),X2) )
& ( big_f(X1,sK1(X1,X2,X3),X2)
| ( ( ~ big_f(X3,X1,X2)
| ~ big_f(X1,X2,X3) )
& big_f(X2,X3,X1) ) )
& ( ( big_f(X2,X3,X1)
& big_f(X1,X2,X3) )
| ~ big_f(X3,X1,X2)
| ~ big_f(X2,X1,sK1(X1,X2,X3)) )
& ( big_f(X2,X1,sK1(X1,X2,X3))
| ( ( ~ big_f(X2,X3,X1)
| ~ big_f(X1,X2,X3) )
& big_f(X3,X1,X2) ) )
& ( big_f(X3,X1,X2)
| big_f(X2,X3,X1)
| ~ big_f(sK0,sK0,sK1(X1,X2,X3))
| ~ big_f(X1,X2,X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
! [X1,X2,X3] :
( ( ~ big_f(sK1(X1,X2,X3),sK1(X1,X2,X3),sK1(X1,X2,X3))
| ~ big_f(X3,X1,X2)
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,X2,X3) )
& ( big_f(sK1(X1,X2,X3),sK1(X1,X2,X3),sK1(X1,X2,X3))
| ( big_f(X3,X1,X2)
& big_f(X2,X3,X1)
& big_f(X1,X2,X3) ) )
& ( big_f(X1,X2,X3)
| ( big_f(X2,X3,X1)
& big_f(X3,X1,X2) )
| ~ big_f(sK1(X1,X2,X3),X2,X1) )
& ( big_f(sK1(X1,X2,X3),X2,X1)
| ( ~ big_f(X1,X2,X3)
& ( ~ big_f(X2,X3,X1)
| ~ big_f(X3,X1,X2) ) ) )
& ( ( big_f(X3,X1,X2)
& big_f(X1,X2,X3) )
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,sK1(X1,X2,X3),X2) )
& ( big_f(X1,sK1(X1,X2,X3),X2)
| ( ( ~ big_f(X3,X1,X2)
| ~ big_f(X1,X2,X3) )
& big_f(X2,X3,X1) ) )
& ( ( big_f(X2,X3,X1)
& big_f(X1,X2,X3) )
| ~ big_f(X3,X1,X2)
| ~ big_f(X2,X1,sK1(X1,X2,X3)) )
& ( big_f(X2,X1,sK1(X1,X2,X3))
| ( ( ~ big_f(X2,X3,X1)
| ~ big_f(X1,X2,X3) )
& big_f(X3,X1,X2) ) )
& ( big_f(X3,X1,X2)
| big_f(X2,X3,X1)
| ~ big_f(sK0,sK0,sK1(X1,X2,X3))
| ~ big_f(X1,X2,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).
fof(f10,plain,
! [X2,X3,X1] :
( big_f(X3,X1,X2)
| big_f(X2,X3,X1)
| ~ big_f(sK0,sK0,sK1(X1,X2,X3))
| ~ big_f(X1,X2,X3) ),
inference(cnf_transformation,[],[f9]) ).
fof(f11,plain,
! [X2,X3,X1] :
( big_f(X2,X1,sK1(X1,X2,X3))
| big_f(X3,X1,X2) ),
inference(cnf_transformation,[],[f9]) ).
fof(f13,plain,
! [X2,X3,X1] :
( big_f(X1,X2,X3)
| ~ big_f(X3,X1,X2)
| ~ big_f(X2,X1,sK1(X1,X2,X3)) ),
inference(cnf_transformation,[],[f9]) ).
fof(f14,plain,
! [X2,X3,X1] :
( big_f(X2,X3,X1)
| ~ big_f(X3,X1,X2)
| ~ big_f(X2,X1,sK1(X1,X2,X3)) ),
inference(cnf_transformation,[],[f9]) ).
fof(f15,plain,
! [X2,X3,X1] :
( big_f(X1,sK1(X1,X2,X3),X2)
| big_f(X2,X3,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f17,plain,
! [X2,X3,X1] :
( big_f(X1,X2,X3)
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,sK1(X1,X2,X3),X2) ),
inference(cnf_transformation,[],[f9]) ).
fof(f18,plain,
! [X2,X3,X1] :
( big_f(X3,X1,X2)
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,sK1(X1,X2,X3),X2) ),
inference(cnf_transformation,[],[f9]) ).
fof(f19,plain,
! [X2,X3,X1] :
( big_f(sK1(X1,X2,X3),X2,X1)
| ~ big_f(X2,X3,X1)
| ~ big_f(X3,X1,X2) ),
inference(cnf_transformation,[],[f9]) ).
fof(f20,plain,
! [X2,X3,X1] :
( big_f(sK1(X1,X2,X3),X2,X1)
| ~ big_f(X1,X2,X3) ),
inference(cnf_transformation,[],[f9]) ).
fof(f21,plain,
! [X2,X3,X1] :
( big_f(X1,X2,X3)
| big_f(X3,X1,X2)
| ~ big_f(sK1(X1,X2,X3),X2,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f22,plain,
! [X2,X3,X1] :
( big_f(X1,X2,X3)
| big_f(X2,X3,X1)
| ~ big_f(sK1(X1,X2,X3),X2,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f26,plain,
! [X2,X3,X1] :
( ~ big_f(sK1(X1,X2,X3),sK1(X1,X2,X3),sK1(X1,X2,X3))
| ~ big_f(X3,X1,X2)
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,X2,X3) ),
inference(cnf_transformation,[],[f9]) ).
cnf(c_49,negated_conjecture,
( ~ big_f(sK1(X0,X1,X2),sK1(X0,X1,X2),sK1(X0,X1,X2))
| ~ big_f(X0,X1,X2)
| ~ big_f(X1,X2,X0)
| ~ big_f(X2,X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
cnf(c_53,negated_conjecture,
( ~ big_f(sK1(X0,X1,X2),X1,X0)
| big_f(X0,X1,X2)
| big_f(X1,X2,X0) ),
inference(cnf_transformation,[],[f22]) ).
cnf(c_54,negated_conjecture,
( ~ big_f(sK1(X0,X1,X2),X1,X0)
| big_f(X0,X1,X2)
| big_f(X2,X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
cnf(c_55,negated_conjecture,
( ~ big_f(X0,X1,X2)
| big_f(sK1(X0,X1,X2),X1,X0) ),
inference(cnf_transformation,[],[f20]) ).
cnf(c_56,negated_conjecture,
( ~ big_f(X0,X1,X2)
| ~ big_f(X1,X2,X0)
| big_f(sK1(X2,X0,X1),X0,X2) ),
inference(cnf_transformation,[],[f19]) ).
cnf(c_57,negated_conjecture,
( ~ big_f(X0,sK1(X0,X1,X2),X1)
| ~ big_f(X1,X2,X0)
| big_f(X2,X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
cnf(c_58,negated_conjecture,
( ~ big_f(X0,sK1(X0,X1,X2),X1)
| ~ big_f(X1,X2,X0)
| big_f(X0,X1,X2) ),
inference(cnf_transformation,[],[f17]) ).
cnf(c_60,negated_conjecture,
( big_f(X0,sK1(X0,X1,X2),X1)
| big_f(X1,X2,X0) ),
inference(cnf_transformation,[],[f15]) ).
cnf(c_61,negated_conjecture,
( ~ big_f(X0,X1,sK1(X1,X0,X2))
| ~ big_f(X2,X1,X0)
| big_f(X0,X2,X1) ),
inference(cnf_transformation,[],[f14]) ).
cnf(c_62,negated_conjecture,
( ~ big_f(X0,X1,sK1(X1,X0,X2))
| ~ big_f(X2,X1,X0)
| big_f(X1,X0,X2) ),
inference(cnf_transformation,[],[f13]) ).
cnf(c_64,negated_conjecture,
( big_f(X0,X1,sK1(X1,X0,X2))
| big_f(X2,X1,X0) ),
inference(cnf_transformation,[],[f11]) ).
cnf(c_65,negated_conjecture,
( ~ big_f(sK0,sK0,sK1(X0,X1,X2))
| ~ big_f(X0,X1,X2)
| big_f(X1,X2,X0)
| big_f(X2,X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
cnf(c_168,negated_conjecture,
( ~ big_f(sK0,sK0,sK1(X0,X1,X2))
| ~ big_f(X0,X1,X2)
| big_f(X1,X2,X0)
| big_f(X2,X0,X1) ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_169,negated_conjecture,
( big_f(X0,X1,sK1(X1,X0,X2))
| big_f(X2,X1,X0) ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_171,negated_conjecture,
( ~ big_f(X0,X1,sK1(X1,X0,X2))
| ~ big_f(X2,X1,X0)
| big_f(X1,X0,X2) ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_172,negated_conjecture,
( ~ big_f(X0,X1,sK1(X1,X0,X2))
| ~ big_f(X2,X1,X0)
| big_f(X0,X2,X1) ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_173,negated_conjecture,
( big_f(X0,sK1(X0,X1,X2),X1)
| big_f(X1,X2,X0) ),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_175,negated_conjecture,
( ~ big_f(X0,sK1(X0,X1,X2),X1)
| ~ big_f(X1,X2,X0)
| big_f(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_176,negated_conjecture,
( ~ big_f(X0,sK1(X0,X1,X2),X1)
| ~ big_f(X1,X2,X0)
| big_f(X2,X0,X1) ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_177,negated_conjecture,
( ~ big_f(X0,X1,X2)
| ~ big_f(X1,X2,X0)
| big_f(sK1(X2,X0,X1),X0,X2) ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_178,negated_conjecture,
( ~ big_f(X0,X1,X2)
| big_f(sK1(X0,X1,X2),X1,X0) ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_179,negated_conjecture,
( ~ big_f(sK1(X0,X1,X2),X1,X0)
| big_f(X0,X1,X2)
| big_f(X2,X0,X1) ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_180,negated_conjecture,
( ~ big_f(sK1(X0,X1,X2),X1,X0)
| big_f(X0,X1,X2)
| big_f(X1,X2,X0) ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_184,negated_conjecture,
( ~ big_f(sK1(X0,X1,X2),sK1(X0,X1,X2),sK1(X0,X1,X2))
| ~ big_f(X0,X1,X2)
| ~ big_f(X1,X2,X0)
| ~ big_f(X2,X0,X1) ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_542,plain,
( ~ big_f(sK0,sK0,X0)
| big_f(X0,sK0,sK0)
| big_f(sK0,X0,sK0) ),
inference(superposition,[status(thm)],[c_169,c_168]) ).
cnf(c_555,plain,
( ~ big_f(sK0,sK0,X0)
| big_f(X0,sK0,sK0)
| big_f(sK0,X0,sK0) ),
inference(superposition,[status(thm)],[c_169,c_168]) ).
cnf(c_626,plain,
( big_f(sK1(sK0,sK0,X0),sK0,sK0)
| big_f(sK0,sK1(sK0,sK0,X0),sK0)
| big_f(X0,sK0,sK0) ),
inference(superposition,[status(thm)],[c_169,c_542]) ).
cnf(c_641,plain,
( big_f(sK1(sK0,sK0,X0),sK0,sK0)
| big_f(sK0,sK1(sK0,sK0,X0),sK0)
| big_f(X0,sK0,sK0) ),
inference(superposition,[status(thm)],[c_169,c_555]) ).
cnf(c_728,plain,
( big_f(sK0,sK1(sK0,sK0,X0),sK0)
| big_f(X0,sK0,sK0)
| big_f(sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_626,c_179]) ).
cnf(c_743,plain,
( big_f(sK0,sK1(sK0,sK0,X0),sK0)
| big_f(X0,sK0,sK0)
| big_f(sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_641,c_179]) ).
cnf(c_797,plain,
( ~ big_f(sK0,X0,sK0)
| big_f(X0,sK0,sK0)
| big_f(sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_728,c_176]) ).
cnf(c_808,plain,
( ~ big_f(sK0,X0,sK0)
| big_f(X0,sK0,sK0)
| big_f(sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_743,c_176]) ).
cnf(c_840,plain,
( big_f(sK1(sK0,sK0,X0),sK0,sK0)
| big_f(sK0,sK0,sK1(sK0,sK0,X0))
| big_f(sK0,X0,sK0) ),
inference(superposition,[status(thm)],[c_173,c_797]) ).
cnf(c_860,plain,
( big_f(sK1(sK0,sK0,X0),sK0,sK0)
| big_f(sK0,sK0,sK1(sK0,sK0,X0))
| big_f(sK0,X0,sK0) ),
inference(superposition,[status(thm)],[c_173,c_808]) ).
cnf(c_955,plain,
( big_f(sK0,sK0,sK1(sK0,sK0,X0))
| big_f(sK0,X0,sK0)
| big_f(sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_840,c_180]) ).
cnf(c_971,plain,
( big_f(sK0,sK0,sK1(sK0,sK0,X0))
| big_f(X0,sK0,sK0)
| big_f(sK0,X0,sK0)
| big_f(sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_860,c_179]) ).
cnf(c_1057,plain,
( ~ big_f(X0,sK0,sK0)
| big_f(sK0,X0,sK0)
| big_f(sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_955,c_172]) ).
cnf(c_1121,plain,
( ~ big_f(sK0,sK0,X0)
| big_f(sK0,sK1(sK0,sK0,X0),sK0)
| big_f(sK0,sK0,sK1(sK0,sK0,X0)) ),
inference(superposition,[status(thm)],[c_178,c_1057]) ).
cnf(c_1122,plain,
( ~ big_f(X0,sK0,sK0)
| ~ big_f(sK0,X0,sK0)
| big_f(sK0,sK1(sK0,sK0,X0),sK0)
| big_f(sK0,sK0,sK1(sK0,sK0,X0)) ),
inference(superposition,[status(thm)],[c_177,c_1057]) ).
cnf(c_1123,plain,
( big_f(sK0,sK1(sK0,sK0,X0),sK0)
| big_f(sK0,sK0,sK1(sK0,sK0,X0))
| big_f(sK0,X0,sK0) ),
inference(superposition,[status(thm)],[c_840,c_1057]) ).
cnf(c_1124,plain,
( big_f(sK0,sK1(sK0,sK0,X0),sK0)
| big_f(sK0,sK0,sK1(sK0,sK0,X0))
| big_f(X0,sK0,sK0) ),
inference(superposition,[status(thm)],[c_626,c_1057]) ).
cnf(c_1220,plain,
( big_f(sK0,sK1(sK0,sK0,X0),sK0)
| big_f(sK0,sK0,sK1(sK0,sK0,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_1121,c_1124,c_1123,c_1122]) ).
cnf(c_1228,plain,
( ~ big_f(sK0,X0,sK0)
| big_f(sK0,sK0,sK1(sK0,sK0,X0))
| big_f(sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_1220,c_175]) ).
cnf(c_1241,plain,
( big_f(sK0,sK0,sK1(sK0,sK0,X0))
| big_f(sK0,sK0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_971,c_955,c_1228]) ).
cnf(c_1248,plain,
( ~ big_f(X0,sK0,sK0)
| big_f(sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_1241,c_171]) ).
cnf(c_1258,plain,
( big_f(sK0,sK0,sK1(sK0,sK0,X0))
| big_f(sK0,sK0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_1228,c_1241]) ).
cnf(c_1265,plain,
( ~ big_f(X0,sK0,sK0)
| big_f(sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_1258,c_171]) ).
cnf(c_1277,plain,
( ~ big_f(sK0,X0,sK0)
| big_f(sK0,sK0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_797,c_1265]) ).
cnf(c_1278,plain,
( big_f(sK0,sK1(sK0,sK0,X0),sK0)
| big_f(sK0,sK0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_728,c_1265]) ).
cnf(c_1342,plain,
big_f(sK0,sK0,sK1(sK0,sK0,X0)),
inference(backward_subsumption_resolution,[status(thm)],[c_1220,c_1277]) ).
cnf(c_1352,plain,
( ~ big_f(X0,sK0,sK0)
| big_f(sK0,X0,sK0) ),
inference(superposition,[status(thm)],[c_1342,c_172]) ).
cnf(c_1368,plain,
( ~ big_f(sK0,sK0,X0)
| big_f(sK0,sK1(sK0,sK0,X0),sK0) ),
inference(superposition,[status(thm)],[c_178,c_1352]) ).
cnf(c_1377,plain,
big_f(sK0,sK1(sK0,sK0,X0),sK0),
inference(global_subsumption_just,[status(thm)],[c_1368,c_1278,c_1368]) ).
cnf(c_1380,plain,
( ~ big_f(sK0,X0,sK0)
| big_f(X0,sK0,sK0) ),
inference(superposition,[status(thm)],[c_1377,c_176]) ).
cnf(c_1391,plain,
big_f(sK1(sK0,sK0,X0),sK0,sK0),
inference(superposition,[status(thm)],[c_1377,c_1380]) ).
cnf(c_1399,plain,
( big_f(sK0,X0,sK0)
| big_f(sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_1391,c_180]) ).
cnf(c_1400,plain,
( big_f(X0,sK0,sK0)
| big_f(sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_1391,c_179]) ).
cnf(c_1408,plain,
big_f(sK0,sK0,X0),
inference(global_subsumption_just,[status(thm)],[c_1399,c_1248,c_1400]) ).
cnf(c_1410,plain,
( ~ big_f(X0,X1,X2)
| big_f(X1,X2,X0)
| big_f(X2,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_168,c_1408]) ).
cnf(c_1437,plain,
( ~ big_f(X0,X1,X2)
| ~ big_f(X1,X2,X0)
| big_f(X0,X2,sK1(X2,X0,X1))
| big_f(X2,sK1(X2,X0,X1),X0) ),
inference(superposition,[status(thm)],[c_177,c_1410]) ).
cnf(c_1439,plain,
( big_f(sK1(X0,X1,X2),X1,X0)
| big_f(X1,X0,sK1(X0,X1,X2))
| big_f(X1,X2,X0) ),
inference(superposition,[status(thm)],[c_173,c_1410]) ).
cnf(c_1473,plain,
( big_f(X0,X1,sK1(X1,X0,X2))
| big_f(X0,X2,X1)
| big_f(X1,X0,X2) ),
inference(superposition,[status(thm)],[c_1439,c_180]) ).
cnf(c_1676,plain,
( big_f(X0,X1,sK1(X1,X0,X2))
| big_f(X1,sK1(X1,X0,X2),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1437,c_169,c_173]) ).
cnf(c_1685,plain,
( ~ big_f(X0,X1,X2)
| big_f(X0,X2,sK1(X2,X0,X1))
| big_f(X2,X0,X1) ),
inference(superposition,[status(thm)],[c_1676,c_175]) ).
cnf(c_1708,plain,
( big_f(X0,X1,sK1(X1,X0,X2))
| big_f(X1,X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1685,c_1473]) ).
cnf(c_1715,plain,
( ~ big_f(X0,X1,X2)
| big_f(X1,X2,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_171,c_1708]) ).
cnf(c_1726,plain,
big_f(X0,sK1(X0,X1,X2),X1),
inference(backward_subsumption_resolution,[status(thm)],[c_1676,c_1715]) ).
cnf(c_1729,plain,
( ~ big_f(sK1(X0,X1,X2),X1,X0)
| big_f(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_179,c_1715]) ).
cnf(c_1732,plain,
( ~ big_f(sK1(X0,X1,X2),sK1(X0,X1,X2),sK1(X0,X1,X2))
| ~ big_f(X0,X1,X2)
| ~ big_f(X2,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_184,c_1715]) ).
cnf(c_1742,plain,
( ~ big_f(X0,X1,X2)
| big_f(X2,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_175,c_1726]) ).
cnf(c_1745,plain,
( ~ big_f(sK1(X0,X1,X2),sK1(X0,X1,X2),sK1(X0,X1,X2))
| ~ big_f(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1732,c_1742]) ).
cnf(c_1759,plain,
big_f(sK1(X0,X1,X2),X1,X0),
inference(superposition,[status(thm)],[c_1726,c_1715]) ).
cnf(c_1760,plain,
big_f(X2,X0,X1),
inference(global_subsumption_just,[status(thm)],[c_1742,c_1742,c_1729,c_1759]) ).
cnf(c_1761,plain,
big_f(X0,X1,X2),
inference(renaming,[status(thm)],[c_1760]) ).
cnf(c_1780,plain,
~ big_f(sK1(X0,X1,X2),sK1(X0,X1,X2),sK1(X0,X1,X2)),
inference(global_subsumption_just,[status(thm)],[c_1745,c_1729,c_1745,c_1759]) ).
cnf(c_1783,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1780,c_1761]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SYN353+1 : TPTP v8.2.0. Released v2.0.0.
% 0.02/0.09 % Command : run_iprover %s %d THM
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Sun Jun 23 19:00:54 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.14/0.38 Running first-order theorem proving
% 0.14/0.38 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.75/1.01 % SZS status Started for theBenchmark.p
% 1.75/1.01 % SZS status Theorem for theBenchmark.p
% 1.75/1.01
% 1.75/1.01 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.75/1.01
% 1.75/1.01 ------ iProver source info
% 1.75/1.01
% 1.75/1.01 git: date: 2024-06-12 09:56:46 +0000
% 1.75/1.01 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 1.75/1.01 git: non_committed_changes: false
% 1.75/1.01
% 1.75/1.01 ------ Parsing...
% 1.75/1.01 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.75/1.01
% 1.75/1.01 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 1.75/1.01
% 1.75/1.01 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.75/1.01 ------ Proving...
% 1.75/1.01 ------ Problem Properties
% 1.75/1.01
% 1.75/1.01
% 1.75/1.01 clauses 17
% 1.75/1.01 conjectures 17
% 1.75/1.01 EPR 0
% 1.75/1.01 Horn 9
% 1.75/1.01 unary 0
% 1.75/1.01 binary 6
% 1.75/1.01 lits 47
% 1.75/1.01 lits eq 0
% 1.75/1.01 fd_pure 0
% 1.75/1.01 fd_pseudo 0
% 1.75/1.01 fd_cond 0
% 1.75/1.01 fd_pseudo_cond 0
% 1.75/1.01 AC symbols 0
% 1.75/1.01
% 1.75/1.01 ------ Schedule dynamic 5 is on
% 1.75/1.01
% 1.75/1.01 ------ no equalities: superposition off
% 1.75/1.01
% 1.75/1.01 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.75/1.01
% 1.75/1.01
% 1.75/1.01 ------
% 1.75/1.01 Current options:
% 1.75/1.01 ------
% 1.75/1.01
% 1.75/1.01
% 1.75/1.01
% 1.75/1.01
% 1.75/1.01 ------ Proving...
% 1.75/1.01
% 1.75/1.01
% 1.75/1.01 % SZS status Theorem for theBenchmark.p
% 1.75/1.01
% 1.75/1.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.91/1.01
% 1.91/1.01
%------------------------------------------------------------------------------