%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN353+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:07:26 PM UTC 2026
% Result : Theorem 0.21s 0.29s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 1
% Syntax : Number of formulae : 70 ( 8 unt; 0 def)
% Number of atoms : 351 ( 0 equ)
% Maximal formula atoms : 36 ( 5 avg)
% Number of connectives : 398 ( 117 ~; 171 |; 74 &)
% ( 14 <=>; 20 =>; 0 <=; 2 <~>)
% Maximal formula depth : 18 ( 6 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 : 155 ( 141 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
? [X1,X2,X3] :
! [X4] :
( ( big_f(X1,X2,X3)
=> ( big_f(X0,X0,X4)
=> ( 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(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(X1,X2,X3)
& big_f(X2,X3,X1)
& big_f(X3,X1,X2) )
<=> big_f(X4,X4,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/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(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(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(X1,X2,X3)
& big_f(X2,X3,X1)
& big_f(X3,X1,X2) )
<=> big_f(X4,X4,X4) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X0] :
! [X1,X2,X3] :
? [X4] :
( ( ( big_f(X1,X2,X3)
& big_f(X2,X3,X1)
& big_f(X3,X1,X2) )
<~> 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(X1,X2,X3)
& big_f(X3,X1,X2) )
| ~ big_f(X2,X3,X1) )
<=> big_f(X1,X4,X2) )
& ( ( ( big_f(X1,X2,X3)
& big_f(X2,X3,X1) )
| ~ big_f(X3,X1,X2) )
<=> big_f(X2,X1,X4) )
& ( big_f(X2,X3,X1)
| big_f(X3,X1,X2)
| ~ big_f(X0,X0,X4)
| ~ big_f(X1,X2,X3) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
? [X0] :
! [X1,X2,X3] :
? [X4] :
( ( ( big_f(X1,X2,X3)
& big_f(X2,X3,X1)
& big_f(X3,X1,X2) )
<~> 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(X1,X2,X3)
& big_f(X3,X1,X2) )
| ~ big_f(X2,X3,X1) )
<=> big_f(X1,X4,X2) )
& ( ( ( big_f(X1,X2,X3)
& big_f(X2,X3,X1) )
| ~ big_f(X3,X1,X2) )
<=> big_f(X2,X1,X4) )
& ( big_f(X2,X3,X1)
| big_f(X3,X1,X2)
| ~ 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(X1,X2,X3)
| ~ big_f(X2,X3,X1)
| ~ big_f(X3,X1,X2) )
& ( big_f(X4,X4,X4)
| ( 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(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(X3,X1,X2) )
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,X4,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(X2,X1,X4)
| ( ( ~ big_f(X1,X2,X3)
| ~ big_f(X2,X3,X1) )
& big_f(X3,X1,X2) ) )
& ( big_f(X2,X3,X1)
| big_f(X3,X1,X2)
| ~ 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(X1,X2,X3)
| ~ big_f(X2,X3,X1)
| ~ big_f(X3,X1,X2) )
& ( big_f(X4,X4,X4)
| ( 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(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(X3,X1,X2) )
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,X4,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(X2,X1,X4)
| ( ( ~ big_f(X1,X2,X3)
| ~ big_f(X2,X3,X1) )
& big_f(X3,X1,X2) ) )
& ( big_f(X2,X3,X1)
| big_f(X3,X1,X2)
| ~ big_f(X0,X0,X4)
| ~ big_f(X1,X2,X3) ) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
! [X1,X2,X3] :
( ( ~ big_f(sK1(X1,X2,X3),sK1(X1,X2,X3),sK1(X1,X2,X3))
| ~ big_f(X1,X2,X3)
| ~ big_f(X2,X3,X1)
| ~ big_f(X3,X1,X2) )
& ( big_f(sK1(X1,X2,X3),sK1(X1,X2,X3),sK1(X1,X2,X3))
| ( 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(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(X1,X2,X3)
& big_f(X3,X1,X2) )
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,sK1(X1,X2,X3),X2) )
& ( big_f(X1,sK1(X1,X2,X3),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,sK1(X1,X2,X3)) )
& ( big_f(X2,X1,sK1(X1,X2,X3))
| ( ( ~ big_f(X1,X2,X3)
| ~ big_f(X2,X3,X1) )
& big_f(X3,X1,X2) ) )
& ( big_f(X2,X3,X1)
| big_f(X3,X1,X2)
| ~ big_f(sK0,sK0,sK1(X1,X2,X3))
| ~ big_f(X1,X2,X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X4,sK1(X1,X2,X3))],[f6]) ).
fof(f8,plain,
! [X2,X3,X1] :
( ~ big_f(sK0,sK0,sK1(X1,X2,X3))
| big_f(X3,X1,X2)
| big_f(X2,X3,X1)
| ~ big_f(X1,X2,X3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f9,plain,
! [X2,X3,X1] :
( big_f(X2,X1,sK1(X1,X2,X3))
| big_f(X3,X1,X2) ),
inference(cnf_transformation,[],[f7]) ).
fof(f10,plain,
! [X2,X3,X1] :
( big_f(X2,X1,sK1(X1,X2,X3))
| ~ big_f(X1,X2,X3)
| ~ big_f(X2,X3,X1) ),
inference(cnf_transformation,[],[f7]) ).
fof(f11,plain,
! [X2,X3,X1] :
( ~ big_f(X2,X1,sK1(X1,X2,X3))
| ~ big_f(X3,X1,X2)
| big_f(X2,X3,X1) ),
inference(cnf_transformation,[],[f7]) ).
fof(f12,plain,
! [X2,X3,X1] :
( ~ big_f(X2,X1,sK1(X1,X2,X3))
| ~ big_f(X3,X1,X2)
| big_f(X1,X2,X3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f13,plain,
! [X2,X3,X1] :
( big_f(X1,sK1(X1,X2,X3),X2)
| big_f(X2,X3,X1) ),
inference(cnf_transformation,[],[f7]) ).
fof(f15,plain,
! [X2,X3,X1] :
( ~ big_f(X1,sK1(X1,X2,X3),X2)
| ~ big_f(X2,X3,X1)
| big_f(X3,X1,X2) ),
inference(cnf_transformation,[],[f7]) ).
fof(f16,plain,
! [X2,X3,X1] :
( ~ big_f(X1,sK1(X1,X2,X3),X2)
| ~ big_f(X2,X3,X1)
| big_f(X1,X2,X3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f17,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,[],[f7]) ).
fof(f19,plain,
! [X2,X3,X1] :
( ~ big_f(sK1(X1,X2,X3),X2,X1)
| big_f(X3,X1,X2)
| big_f(X1,X2,X3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f20,plain,
! [X2,X3,X1] :
( ~ big_f(sK1(X1,X2,X3),X2,X1)
| big_f(X2,X3,X1)
| big_f(X1,X2,X3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f24,plain,
! [X2,X3,X1] :
( ~ big_f(sK1(X1,X2,X3),sK1(X1,X2,X3),sK1(X1,X2,X3))
| ~ big_f(X1,X2,X3)
| ~ big_f(X2,X3,X1)
| ~ big_f(X3,X1,X2) ),
inference(cnf_transformation,[],[f7]) ).
fof(f38,plain,
! [X0] :
( big_f(X0,sK0,sK0)
| big_f(sK0,X0,sK0)
| ~ big_f(sK0,sK0,X0)
| big_f(X0,sK0,sK0) ),
inference(resolution,[],[f8,f9]) ).
fof(f39,plain,
! [X0] :
( ~ big_f(sK0,sK0,X0)
| big_f(sK0,X0,sK0)
| big_f(X0,sK0,sK0) ),
inference(duplicate_literal_removal,[],[f38]) ).
fof(f42,plain,
! [X0] :
( big_f(sK1(sK0,sK0,X0),sK0,sK0)
| big_f(sK0,sK1(sK0,sK0,X0),sK0)
| big_f(X0,sK0,sK0) ),
inference(resolution,[],[f39,f9]) ).
fof(f48,plain,
! [X0] :
( big_f(sK0,sK1(sK0,sK0,X0),sK0)
| big_f(X0,sK0,sK0)
| big_f(X0,sK0,sK0)
| big_f(sK0,sK0,X0) ),
inference(resolution,[],[f42,f19]) ).
fof(f49,plain,
! [X0] :
( big_f(sK0,sK1(sK0,sK0,X0),sK0)
| big_f(X0,sK0,sK0)
| big_f(sK0,sK0,X0) ),
inference(duplicate_literal_removal,[],[f48]) ).
fof(f51,plain,
! [X0] :
( big_f(X0,sK0,sK0)
| big_f(sK0,sK0,X0)
| ~ big_f(sK0,X0,sK0)
| big_f(X0,sK0,sK0) ),
inference(resolution,[],[f49,f15]) ).
fof(f52,plain,
! [X0] :
( ~ big_f(sK0,X0,sK0)
| big_f(sK0,sK0,X0)
| big_f(X0,sK0,sK0) ),
inference(duplicate_literal_removal,[],[f51]) ).
fof(f56,plain,
! [X0] :
( big_f(sK1(sK0,sK0,X0),sK0,sK0)
| big_f(sK0,sK0,sK1(sK0,sK0,X0))
| big_f(sK0,X0,sK0) ),
inference(resolution,[],[f52,f13]) ).
fof(f58,plain,
! [X0] :
( big_f(sK0,sK0,sK1(sK0,sK0,X0))
| big_f(sK0,X0,sK0)
| big_f(sK0,X0,sK0)
| big_f(sK0,sK0,X0) ),
inference(resolution,[],[f56,f20]) ).
fof(f60,plain,
! [X0] :
( big_f(sK0,sK0,sK1(sK0,sK0,X0))
| big_f(sK0,X0,sK0)
| big_f(sK0,sK0,X0) ),
inference(duplicate_literal_removal,[],[f58]) ).
fof(f64,plain,
! [X0] :
( big_f(sK0,X0,sK0)
| big_f(sK0,sK0,X0)
| ~ big_f(X0,sK0,sK0)
| big_f(sK0,X0,sK0) ),
inference(resolution,[],[f60,f11]) ).
fof(f65,plain,
! [X0] :
( ~ big_f(X0,sK0,sK0)
| big_f(sK0,sK0,X0)
| big_f(sK0,X0,sK0) ),
inference(duplicate_literal_removal,[],[f64]) ).
fof(f69,plain,
! [X0] :
( big_f(sK0,sK0,sK1(sK0,sK0,X0))
| big_f(sK0,sK1(sK0,sK0,X0),sK0)
| ~ big_f(sK0,X0,sK0)
| ~ big_f(X0,sK0,sK0) ),
inference(resolution,[],[f65,f17]) ).
fof(f75,plain,
! [X0] :
( big_f(sK0,sK0,sK1(sK0,sK0,X0))
| big_f(sK0,sK1(sK0,sK0,X0),sK0)
| ~ big_f(sK0,X0,sK0) ),
inference(forward_subsumption_resolution,[],[f69,f9]) ).
fof(f76,plain,
! [X0] :
( big_f(sK0,sK1(sK0,sK0,X0),sK0)
| big_f(sK0,sK0,sK1(sK0,sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f75,f13]) ).
fof(f77,plain,
! [X0] :
( big_f(sK0,sK0,sK1(sK0,sK0,X0))
| big_f(sK0,sK0,sK1(sK0,sK0,X0))
| big_f(sK1(sK0,sK0,X0),sK0,sK0) ),
inference(resolution,[],[f76,f52]) ).
fof(f78,plain,
! [X0] :
( big_f(sK0,sK0,sK1(sK0,sK0,X0))
| ~ big_f(sK0,X0,sK0)
| big_f(sK0,sK0,X0) ),
inference(resolution,[],[f76,f16]) ).
fof(f80,plain,
! [X0] :
( big_f(sK1(sK0,sK0,X0),sK0,sK0)
| big_f(sK0,sK0,sK1(sK0,sK0,X0)) ),
inference(duplicate_literal_removal,[],[f77]) ).
fof(f81,plain,
! [X0] :
( big_f(sK0,sK0,sK1(sK0,sK0,X0))
| ~ big_f(sK0,X0,sK0) ),
inference(forward_subsumption_resolution,[],[f78,f10]) ).
fof(f83,plain,
! [X0] :
( ~ big_f(sK0,X0,sK0)
| big_f(sK0,sK1(sK0,sK0,X0),sK0)
| big_f(sK1(sK0,sK0,X0),sK0,sK0) ),
inference(resolution,[],[f81,f39]) ).
fof(f84,plain,
! [X0] :
( ~ big_f(sK0,X0,sK0)
| ~ big_f(X0,sK0,sK0)
| big_f(sK0,sK0,X0) ),
inference(resolution,[],[f81,f12]) ).
fof(f86,plain,
! [X0] :
( ~ big_f(X0,sK0,sK0)
| big_f(sK0,sK0,X0) ),
inference(forward_subsumption_resolution,[],[f84,f65]) ).
fof(f87,plain,
! [X0] :
( big_f(sK1(sK0,sK0,X0),sK0,sK0)
| big_f(sK0,sK1(sK0,sK0,X0),sK0) ),
inference(forward_subsumption_resolution,[],[f83,f13]) ).
fof(f94,plain,
! [X0] :
( big_f(sK0,sK0,sK1(sK0,sK0,X0))
| big_f(sK0,sK0,sK1(sK0,sK0,X0)) ),
inference(resolution,[],[f86,f80]) ).
fof(f98,plain,
! [X0] : big_f(sK0,sK0,sK1(sK0,sK0,X0)),
inference(duplicate_literal_removal,[],[f94]) ).
fof(f109,plain,
! [X0] :
( ~ big_f(X0,sK0,sK0)
| big_f(sK0,X0,sK0) ),
inference(resolution,[],[f98,f11]) ).
fof(f112,plain,
! [X0] :
( big_f(sK0,sK1(sK0,sK0,X0),sK0)
| big_f(sK0,sK1(sK0,sK0,X0),sK0) ),
inference(resolution,[],[f109,f87]) ).
fof(f117,plain,
! [X0] : big_f(sK0,sK1(sK0,sK0,X0),sK0),
inference(duplicate_literal_removal,[],[f112]) ).
fof(f121,plain,
! [X0] :
( ~ big_f(sK0,X0,sK0)
| big_f(X0,sK0,sK0) ),
inference(resolution,[],[f117,f15]) ).
fof(f131,plain,
! [X0] :
( big_f(sK1(sK0,sK0,X0),sK0,sK0)
| big_f(X0,sK0,sK0)
| big_f(sK0,sK0,X0) ),
inference(resolution,[],[f121,f49]) ).
fof(f134,plain,
! [X0] :
( big_f(X0,sK0,sK0)
| big_f(sK0,sK0,X0) ),
inference(forward_subsumption_resolution,[],[f131,f19]) ).
fof(f135,plain,
! [X0] : big_f(sK0,sK0,X0),
inference(forward_subsumption_resolution,[],[f134,f86]) ).
fof(f136,plain,
! [X2,X0,X1] :
( ~ big_f(X1,X2,X0)
| big_f(X2,X0,X1)
| big_f(X0,X1,X2) ),
inference(resolution,[],[f135,f8]) ).
fof(f179,plain,
! [X2,X0,X1] :
( big_f(sK1(X0,X1,X2),X1,X0)
| big_f(X1,X0,sK1(X0,X1,X2))
| big_f(X1,X2,X0) ),
inference(resolution,[],[f136,f13]) ).
fof(f181,plain,
! [X2,X0,X1] :
( big_f(X0,X1,sK1(X1,X0,X2))
| big_f(X1,sK1(X1,X0,X2),X0)
| ~ big_f(X0,X2,X1)
| ~ big_f(X2,X1,X0) ),
inference(resolution,[],[f136,f17]) ).
fof(f209,plain,
! [X2,X0,X1] :
( big_f(X0,X1,sK1(X1,X0,X2))
| big_f(X1,sK1(X1,X0,X2),X0)
| ~ big_f(X0,X2,X1) ),
inference(forward_subsumption_resolution,[],[f181,f9]) ).
fof(f211,plain,
! [X2,X0,X1] :
( big_f(X0,X1,sK1(X1,X0,X2))
| big_f(X1,sK1(X1,X0,X2),X0) ),
inference(forward_subsumption_resolution,[],[f209,f13]) ).
fof(f215,plain,
! [X2,X0,X1] :
( big_f(X1,X0,sK1(X0,X1,X2))
| ~ big_f(X1,X2,X0)
| big_f(X0,X1,X2) ),
inference(resolution,[],[f211,f16]) ).
fof(f225,plain,
! [X2,X0,X1] :
( big_f(X1,X0,sK1(X0,X1,X2))
| ~ big_f(X1,X2,X0) ),
inference(forward_subsumption_resolution,[],[f215,f10]) ).
fof(f237,plain,
! [X2,X0,X1] :
( ~ big_f(X0,X1,X2)
| ~ big_f(X1,X2,X0)
| big_f(X2,X0,X1) ),
inference(resolution,[],[f225,f12]) ).
fof(f244,plain,
! [X2,X0,X1] :
( ~ big_f(X1,X2,X0)
| big_f(X2,X0,X1) ),
inference(forward_subsumption_resolution,[],[f237,f136]) ).
fof(f245,plain,
! [X2,X0,X1] :
( big_f(sK1(X0,X1,X2),X1,X0)
| big_f(X1,X0,sK1(X0,X1,X2)) ),
inference(forward_subsumption_resolution,[],[f179,f225]) ).
fof(f286,plain,
! [X2,X0,X1] : big_f(X1,X0,sK1(X0,X1,X2)),
inference(forward_subsumption_resolution,[],[f245,f244]) ).
fof(f290,plain,
! [X2,X0,X1] :
( big_f(X0,sK1(X0,X1,X2),X1)
| big_f(sK1(X0,X1,X2),X1,X0) ),
inference(resolution,[],[f286,f136]) ).
fof(f294,plain,
! [X2,X0,X1] : big_f(sK1(X0,X1,X2),X1,X0),
inference(forward_subsumption_resolution,[],[f290,f244]) ).
fof(f296,plain,
! [X2,X0,X1] :
( big_f(X0,X1,X2)
| big_f(X1,X2,X0) ),
inference(resolution,[],[f294,f19]) ).
fof(f302,plain,
! [X2,X0,X1] : big_f(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f296,f244]) ).
fof(f357,plain,
! [X2,X0,X1] :
( ~ big_f(X0,X1,X2)
| ~ big_f(X1,X2,X0)
| ~ big_f(X2,X0,X1) ),
inference(resolution,[],[f302,f24]) ).
fof(f363,plain,
! [X2,X0,X1] :
( ~ big_f(X1,X2,X0)
| ~ big_f(X2,X0,X1) ),
inference(forward_subsumption_resolution,[],[f357,f244]) ).
fof(f364,plain,
! [X2,X0,X1] : ~ big_f(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f363,f244]) ).
fof(f365,plain,
$false,
inference(forward_subsumption_resolution,[],[f364,f302]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN353+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n020.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 15:48:34 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.29 % (263214)Will run a generic schedule for satisfiability detection.
% 0.21/0.29 % (263224)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=211884463:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.29 % (263220)% WARNING: option uhcvi not known.
% 0.21/0.29 % (263219)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2274712448_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.29 % (263223)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=573801975:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.29 % (263220)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1790498703:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.29 % (263222)dis+10_1_sil=32000:sp=arity:random_seed=4076778777:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.29 % (263221)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=434337664:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.29 % (263225)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=711757428:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.29 % TRYING [1]
% 0.21/0.29 % TRYING [2]
% 0.21/0.29 % TRYING [3]
% 0.21/0.29 % (263222) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-263214-263222"...
% 0.21/0.29 % (263223) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-263214-263223"...
% 0.21/0.29 % TRYING [4]
% 0.21/0.29 % (263222)...printing done.
% 0.21/0.29 % (263223)...printing done.
% 0.21/0.29 % (263222)Refutation found. Thanks to Tanya!
% 0.21/0.29 % SZS status Theorem for theBenchmark
% 0.21/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.29 % (263222)------------------------------
% 0.21/0.29 % (263222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (263222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (263222)CaDiCaL version: 2.1.3
% 0.21/0.29 % (263222)Termination reason: Refutation
% 0.21/0.29 % (263222)Time elapsed: 0.007 s
% 0.21/0.29 % (263222)Peak memory usage: 11 MB
% 0.21/0.29 % (263222)Instructions burned: 11 (million)
% 0.21/0.29 % (263214)Success in time 0.054 s
% 0.21/0.29 % Vampire exiting
%------------------------------------------------------------------------------