%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN353+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 01:50:20 PM UTC 2026
% Result : Theorem 3.08s 1.07s
% Output : Refutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 1
% Syntax : Number of formulae : 61 ( 4 unt; 0 def)
% Number of atoms : 339 ( 0 equ)
% Maximal formula atoms : 36 ( 5 avg)
% Number of connectives : 421 ( 143 ~; 168 |; 74 &)
% ( 14 <=>; 20 =>; 0 <=; 2 <~>)
% Maximal formula depth : 18 ( 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 : 142 ( 128 !; 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/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(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(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(f18,plain,
! [X2,X3,X1] :
( big_f(sK1(X1,X2,X3),X2,X1)
| ~ big_f(X1,X2,X3) ),
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,X0,sK0)
| big_f(X0,sK0,sK0)
| ~ big_f(sK0,sK0,X0) ),
inference(duplicate_literal_removal,[],[f38]) ).
fof(f45,plain,
! [X0] :
( big_f(sK1(sK0,sK0,X0),sK0,sK0)
| ~ big_f(sK0,sK0,sK1(sK0,sK0,X0))
| ~ big_f(sK0,X0,sK0)
| big_f(X0,sK0,sK0) ),
inference(resolution,[],[f39,f15]) ).
fof(f46,plain,
! [X0] :
( big_f(sK1(sK0,sK0,X0),sK0,sK0)
| ~ big_f(sK0,sK0,sK1(sK0,sK0,X0))
| ~ big_f(sK0,X0,sK0) ),
inference(forward_subsumption_resolution,[],[f45,f17]) ).
fof(f49,plain,
! [X0] :
( ~ big_f(sK0,sK0,sK1(sK0,sK0,X0))
| ~ big_f(sK0,X0,sK0)
| big_f(X0,sK0,sK0)
| big_f(sK0,sK0,X0) ),
inference(resolution,[],[f46,f19]) ).
fof(f50,plain,
! [X0] :
( ~ big_f(sK0,sK0,sK1(sK0,sK0,X0))
| ~ big_f(sK0,X0,sK0)
| big_f(sK0,sK0,X0) ),
inference(forward_subsumption_resolution,[],[f49,f12]) ).
fof(f52,plain,
! [X0] :
( big_f(sK0,sK0,X0)
| ~ big_f(sK0,X0,sK0)
| big_f(X0,sK0,sK0) ),
inference(resolution,[],[f50,f9]) ).
fof(f57,plain,
! [X0] :
( ~ big_f(sK0,sK1(sK0,sK0,X0),sK0)
| big_f(sK1(sK0,sK0,X0),sK0,sK0)
| ~ big_f(X0,sK0,sK0)
| big_f(sK0,X0,sK0) ),
inference(resolution,[],[f52,f11]) ).
fof(f58,plain,
! [X0] :
( big_f(sK1(sK0,sK0,X0),sK0,sK0)
| ~ big_f(X0,sK0,sK0)
| big_f(sK0,X0,sK0) ),
inference(forward_subsumption_resolution,[],[f57,f13]) ).
fof(f60,plain,
! [X0] :
( big_f(sK1(sK0,sK0,X0),sK0,sK0)
| ~ big_f(X0,sK0,sK0) ),
inference(forward_subsumption_resolution,[],[f58,f17]) ).
fof(f61,plain,
! [X0] :
( big_f(sK0,sK0,X0)
| big_f(sK0,X0,sK0)
| ~ big_f(X0,sK0,sK0) ),
inference(resolution,[],[f60,f20]) ).
fof(f65,plain,
! [X0] :
( big_f(sK0,sK1(sK0,sK0,X0),sK0)
| ~ big_f(sK1(sK0,sK0,X0),sK0,sK0)
| ~ big_f(X0,sK0,sK0)
| big_f(sK0,sK0,X0) ),
inference(resolution,[],[f61,f12]) ).
fof(f67,plain,
! [X0] :
( big_f(sK0,sK1(sK0,sK0,X0),sK0)
| ~ big_f(sK1(sK0,sK0,X0),sK0,sK0)
| big_f(sK0,sK0,X0) ),
inference(forward_subsumption_resolution,[],[f65,f19]) ).
fof(f69,plain,
! [X0] :
( ~ big_f(sK1(sK0,sK0,X0),sK0,sK0)
| big_f(sK0,sK0,X0)
| ~ big_f(sK0,X0,sK0)
| big_f(sK0,sK0,X0) ),
inference(resolution,[],[f67,f16]) ).
fof(f71,plain,
! [X0] :
( ~ big_f(sK1(sK0,sK0,X0),sK0,sK0)
| big_f(sK0,sK0,X0)
| ~ big_f(sK0,X0,sK0) ),
inference(duplicate_literal_removal,[],[f69]) ).
fof(f72,plain,
! [X0] :
( ~ big_f(sK1(sK0,sK0,X0),sK0,sK0)
| big_f(sK0,sK0,X0) ),
inference(forward_subsumption_resolution,[],[f71,f20]) ).
fof(f77,plain,
! [X0] :
( big_f(sK0,sK0,X0)
| ~ big_f(X0,sK0,sK0) ),
inference(resolution,[],[f72,f60]) ).
fof(f86,plain,
! [X0] :
( ~ big_f(sK1(sK0,sK0,X0),sK0,sK0)
| ~ big_f(X0,sK0,sK0)
| big_f(sK0,X0,sK0) ),
inference(resolution,[],[f77,f11]) ).
fof(f87,plain,
! [X0] :
( big_f(sK0,X0,sK0)
| ~ big_f(X0,sK0,sK0) ),
inference(forward_subsumption_resolution,[],[f86,f60]) ).
fof(f92,plain,
! [X0] :
( ~ big_f(sK1(sK0,sK0,X0),sK0,sK0)
| ~ big_f(sK0,X0,sK0)
| big_f(X0,sK0,sK0) ),
inference(resolution,[],[f87,f15]) ).
fof(f104,plain,
! [X0] :
( ~ big_f(sK0,X0,sK0)
| big_f(X0,sK0,sK0)
| ~ big_f(sK0,sK0,X0) ),
inference(resolution,[],[f92,f18]) ).
fof(f108,plain,
! [X0] :
( big_f(X0,sK0,sK0)
| ~ big_f(sK0,sK0,X0) ),
inference(forward_subsumption_resolution,[],[f104,f39]) ).
fof(f114,plain,
! [X0] :
( ~ big_f(sK0,sK0,sK1(sK0,sK0,X0))
| big_f(sK0,sK0,X0) ),
inference(resolution,[],[f108,f72]) ).
fof(f142,plain,
! [X0] :
( big_f(sK0,sK0,X0)
| big_f(X0,sK0,sK0) ),
inference(resolution,[],[f114,f9]) ).
fof(f143,plain,
! [X0] : big_f(sK0,sK0,X0),
inference(forward_subsumption_resolution,[],[f142,f77]) ).
fof(f144,plain,
! [X2,X0,X1] :
( big_f(X2,X0,X1)
| big_f(X0,X1,X2)
| ~ big_f(X1,X2,X0) ),
inference(resolution,[],[f143,f8]) ).
fof(f174,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)
| big_f(X2,X0,X1) ),
inference(resolution,[],[f144,f15]) ).
fof(f189,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(forward_subsumption_resolution,[],[f174,f17]) ).
fof(f201,plain,
! [X2,X0,X1] :
( ~ big_f(X0,X1,sK1(X1,X0,X2))
| ~ big_f(X0,X2,X1)
| big_f(X2,X1,X0)
| big_f(X1,X0,X2) ),
inference(resolution,[],[f189,f19]) ).
fof(f206,plain,
! [X2,X0,X1] :
( ~ big_f(X0,X1,sK1(X1,X0,X2))
| ~ big_f(X0,X2,X1)
| big_f(X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f201,f12]) ).
fof(f223,plain,
! [X2,X0,X1] :
( ~ big_f(X0,X1,X2)
| big_f(X2,X0,X1)
| big_f(X2,sK1(X2,X0,X1),X0)
| ~ big_f(sK1(X2,X0,X1),X0,X2) ),
inference(resolution,[],[f206,f144]) ).
fof(f232,plain,
! [X2,X0,X1] :
( ~ big_f(X0,X1,X2)
| big_f(X2,X0,X1)
| ~ big_f(sK1(X2,X0,X1),X0,X2) ),
inference(forward_subsumption_resolution,[],[f223,f16]) ).
fof(f234,plain,
! [X2,X0,X1] :
( ~ big_f(sK1(X2,X0,X1),X0,X2)
| big_f(X2,X0,X1) ),
inference(forward_subsumption_resolution,[],[f232,f20]) ).
fof(f236,plain,
! [X2,X0,X1] :
( big_f(X0,X1,X2)
| ~ big_f(X1,X2,X0)
| ~ big_f(X2,X0,X1) ),
inference(resolution,[],[f234,f17]) ).
fof(f245,plain,
! [X2,X0,X1] :
( big_f(X0,X1,X2)
| ~ big_f(X2,X0,X1) ),
inference(forward_subsumption_resolution,[],[f236,f144]) ).
fof(f253,plain,
! [X2,X0,X1] :
( ~ big_f(X0,sK1(X0,X1,X2),X1)
| big_f(X1,X2,X0)
| big_f(X0,X1,X2) ),
inference(resolution,[],[f245,f20]) ).
fof(f266,plain,
! [X2,X0,X1] :
( ~ big_f(X0,sK1(X0,X1,X2),X1)
| big_f(X1,X2,X0) ),
inference(forward_subsumption_resolution,[],[f253,f245]) ).
fof(f268,plain,
! [X2,X0,X1] : big_f(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f266,f13]) ).
fof(f278,plain,
! [X2,X0,X1] :
( ~ big_f(X0,X1,X2)
| ~ big_f(X1,X2,X0)
| ~ big_f(X2,X0,X1) ),
inference(resolution,[],[f268,f24]) ).
fof(f287,plain,
! [X2,X0,X1] :
( ~ big_f(X1,X2,X0)
| ~ big_f(X2,X0,X1) ),
inference(forward_subsumption_resolution,[],[f278,f245]) ).
fof(f288,plain,
! [X2,X0,X1] : ~ big_f(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f287,f245]) ).
fof(f289,plain,
$false,
inference(forward_subsumption_resolution,[],[f288,f268]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN353+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n016.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 15:52:33 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.08/1.07 % (3727043)Detected formulas, will run a generic FOF schedule.
% 3.08/1.07 % (3727050)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1206438776:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.08/1.07 % (3727052)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=142430607:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.08/1.07 % (3727053)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1341579259:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.08/1.07 % (3727048)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1088648551:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.08/1.07 % (3727051)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=692407216:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.08/1.07 % (3727054)dis-21_1_sil=8000:lcm=predicate:random_seed=3336515875:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.08/1.07 % (3727049)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1274566000:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.08/1.07 % (3727052)First to succeed.
% 3.08/1.07 % (3727051)Also succeeded, but the first one will report.
% 3.08/1.07 % (3727052)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3727043"
% 3.08/1.07 % (3727054)Also succeeded, but the first one will report.
% 3.08/1.07 % (3727053)Instruction limit reached!
% 3.08/1.07 % (3727053)------------------------------
% 3.08/1.07 % (3727053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.08/1.07 % (3727053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.07 % (3727053)CaDiCaL version: 2.1.3
% 3.08/1.07 % (3727053)Termination reason: Instruction limit
% 3.08/1.07 % (3727053)Termination phase: Saturation
% 3.08/1.07 % (3727053)Time elapsed: 0.076 s
% 3.08/1.07 % (3727053)Peak memory usage: 88 MB
% 3.08/1.07 % (3727053)Instructions burned: 140 (million)
% 3.08/1.07 % (3727062)lrs+10_1_sil=8000:sp=occurrence:random_seed=2167670031:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.08/1.07 % (3727062)Also succeeded, but the first one will report.
% 3.08/1.07 % (3727052)Refutation found. Thanks to Tanya!
% 3.08/1.07 % SZS status Theorem for theBenchmark
% 3.08/1.07 % SZS output start Proof for theBenchmark
% See solution above
% 3.51/1.27 % (3727052)------------------------------
% 3.51/1.27 % (3727052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.27 % (3727052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.27 % (3727052)CaDiCaL version: 2.1.3
% 3.51/1.27 % (3727052)Termination reason: Refutation
% 3.51/1.27 % (3727052)Time elapsed: 0.007 s
% 3.51/1.27 % (3727052)Peak memory usage: 88 MB
% 3.51/1.27 % (3727052)Instructions burned: 11 (million)
% 3.51/1.27 % (3727052)------------------------------
% 3.51/1.27 % (3727052)------------------------------
% 3.51/1.27 % (3727043)Success in time 0.411 s
% 3.51/1.27 % Vampire exiting
%------------------------------------------------------------------------------