%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN353+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 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 : Thu Sep 24 03:15:51 PM UTC 2026
% Result : Theorem 0.13s 5.41s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 1
% Syntax : Number of formulae : 64 ( 8 unt; 0 def)
% Number of atoms : 285 ( 0 equ)
% Maximal formula atoms : 36 ( 4 avg)
% Number of connectives : 322 ( 101 ~; 140 |; 49 &)
% ( 11 <=>; 20 =>; 0 <=; 1 <~>)
% 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 : 137 ( 127 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X] :
? [Y1,Y2,Y3] :
! [Z] :
( ( big_f(Y1,Y2,Y3)
=> ( big_f(X,X,Z)
=> ( big_f(Y3,Y1,Y2)
| big_f(Y2,Y3,Y1) ) ) )
=> ( ( ( big_f(Y3,Y1,Y2)
=> ( big_f(Y2,Y3,Y1)
& big_f(Y1,Y2,Y3) ) )
<=> big_f(Y2,Y1,Z) )
=> ( ( ( big_f(Y2,Y3,Y1)
=> ( big_f(Y3,Y1,Y2)
& big_f(Y1,Y2,Y3) ) )
<=> big_f(Y1,Z,Y2) )
=> ( ( ( ( big_f(Y3,Y1,Y2)
=> ~ big_f(Y2,Y3,Y1) )
=> big_f(Y1,Y2,Y3) )
<=> big_f(Z,Y2,Y1) )
=> ( ( big_f(Y3,Y1,Y2)
& big_f(Y2,Y3,Y1)
& big_f(Y1,Y2,Y3) )
<=> big_f(Z,Z,Z) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [X] :
? [Y1,Y2,Y3] :
! [Z] :
( ( big_f(Y1,Y2,Y3)
=> ( big_f(X,X,Z)
=> ( big_f(Y3,Y1,Y2)
| big_f(Y2,Y3,Y1) ) ) )
=> ( ( ( big_f(Y3,Y1,Y2)
=> ( big_f(Y2,Y3,Y1)
& big_f(Y1,Y2,Y3) ) )
<=> big_f(Y2,Y1,Z) )
=> ( ( ( big_f(Y2,Y3,Y1)
=> ( big_f(Y3,Y1,Y2)
& big_f(Y1,Y2,Y3) ) )
<=> big_f(Y1,Z,Y2) )
=> ( ( ( ( big_f(Y3,Y1,Y2)
=> ~ big_f(Y2,Y3,Y1) )
=> big_f(Y1,Y2,Y3) )
<=> big_f(Z,Y2,Y1) )
=> ( ( big_f(Y3,Y1,Y2)
& big_f(Y2,Y3,Y1)
& big_f(Y1,Y2,Y3) )
<=> big_f(Z,Z,Z) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X] :
! [Y1,Y2,Y3] :
? [Z] :
( ( ( big_f(Y3,Y1,Y2)
& big_f(Y2,Y3,Y1)
& big_f(Y1,Y2,Y3) )
<~> big_f(Z,Z,Z) )
& ( ( big_f(Y1,Y2,Y3)
| ( big_f(Y2,Y3,Y1)
& big_f(Y3,Y1,Y2) ) )
<=> big_f(Z,Y2,Y1) )
& ( ( ( big_f(Y3,Y1,Y2)
& big_f(Y1,Y2,Y3) )
| ~ big_f(Y2,Y3,Y1) )
<=> big_f(Y1,Z,Y2) )
& ( ( ( big_f(Y2,Y3,Y1)
& big_f(Y1,Y2,Y3) )
| ~ big_f(Y3,Y1,Y2) )
<=> big_f(Y2,Y1,Z) )
& ( big_f(Y3,Y1,Y2)
| big_f(Y2,Y3,Y1)
| ~ big_f(X,X,Z)
| ~ big_f(Y1,Y2,Y3) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
? [X] :
! [Y1,Y2,Y3] :
? [Z] :
( ( ~ big_f(Z,Z,Z)
| ~ big_f(Y3,Y1,Y2)
| ~ big_f(Y2,Y3,Y1)
| ~ big_f(Y1,Y2,Y3) )
& ( big_f(Z,Z,Z)
| ( big_f(Y3,Y1,Y2)
& big_f(Y2,Y3,Y1)
& big_f(Y1,Y2,Y3) ) )
& ( ~ big_f(Z,Y2,Y1)
| big_f(Y1,Y2,Y3)
| ( big_f(Y2,Y3,Y1)
& big_f(Y3,Y1,Y2) ) )
& ( big_f(Z,Y2,Y1)
| ( ~ big_f(Y1,Y2,Y3)
& ( ~ big_f(Y2,Y3,Y1)
| ~ big_f(Y3,Y1,Y2) ) ) )
& ( ~ big_f(Y1,Z,Y2)
| ( big_f(Y3,Y1,Y2)
& big_f(Y1,Y2,Y3) )
| ~ big_f(Y2,Y3,Y1) )
& ( big_f(Y1,Z,Y2)
| ( ( ~ big_f(Y3,Y1,Y2)
| ~ big_f(Y1,Y2,Y3) )
& big_f(Y2,Y3,Y1) ) )
& ( ~ big_f(Y2,Y1,Z)
| ( big_f(Y2,Y3,Y1)
& big_f(Y1,Y2,Y3) )
| ~ big_f(Y3,Y1,Y2) )
& ( big_f(Y2,Y1,Z)
| ( ( ~ big_f(Y2,Y3,Y1)
| ~ big_f(Y1,Y2,Y3) )
& big_f(Y3,Y1,Y2) ) )
& ( big_f(Y3,Y1,Y2)
| big_f(Y2,Y3,Y1)
| ~ big_f(X,X,Z)
| ~ big_f(Y1,Y2,Y3) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f5,plain,
! [Y1,Y2,Y3] :
( ( ~ big_f(sK1_skl(Y3,Y2,Y1),sK1_skl(Y3,Y2,Y1),sK1_skl(Y3,Y2,Y1))
| ~ big_f(Y3,Y1,Y2)
| ~ big_f(Y2,Y3,Y1)
| ~ big_f(Y1,Y2,Y3) )
& ( big_f(sK1_skl(Y3,Y2,Y1),sK1_skl(Y3,Y2,Y1),sK1_skl(Y3,Y2,Y1))
| ( big_f(Y3,Y1,Y2)
& big_f(Y2,Y3,Y1)
& big_f(Y1,Y2,Y3) ) )
& ( ~ big_f(sK1_skl(Y3,Y2,Y1),Y2,Y1)
| big_f(Y1,Y2,Y3)
| ( big_f(Y2,Y3,Y1)
& big_f(Y3,Y1,Y2) ) )
& ( big_f(sK1_skl(Y3,Y2,Y1),Y2,Y1)
| ( ~ big_f(Y1,Y2,Y3)
& ( ~ big_f(Y2,Y3,Y1)
| ~ big_f(Y3,Y1,Y2) ) ) )
& ( ~ big_f(Y1,sK1_skl(Y3,Y2,Y1),Y2)
| ( big_f(Y3,Y1,Y2)
& big_f(Y1,Y2,Y3) )
| ~ big_f(Y2,Y3,Y1) )
& ( big_f(Y1,sK1_skl(Y3,Y2,Y1),Y2)
| ( ( ~ big_f(Y3,Y1,Y2)
| ~ big_f(Y1,Y2,Y3) )
& big_f(Y2,Y3,Y1) ) )
& ( ~ big_f(Y2,Y1,sK1_skl(Y3,Y2,Y1))
| ( big_f(Y2,Y3,Y1)
& big_f(Y1,Y2,Y3) )
| ~ big_f(Y3,Y1,Y2) )
& ( big_f(Y2,Y1,sK1_skl(Y3,Y2,Y1))
| ( ( ~ big_f(Y2,Y3,Y1)
| ~ big_f(Y1,Y2,Y3) )
& big_f(Y3,Y1,Y2) ) )
& ( big_f(Y3,Y1,Y2)
| big_f(Y2,Y3,Y1)
| ~ big_f(sK0_skl,sK0_skl,sK1_skl(Y3,Y2,Y1))
| ~ big_f(Y1,Y2,Y3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl),skolemize(Z,sK1_skl(Y3,Y2,Y1))],[f4]) ).
fof(f6,plain,
! [X0,X1,X2] :
( big_f(X2,X0,X1)
| big_f(X1,X2,X0)
| ~ big_f(sK0_skl,sK0_skl,sK1_skl(X2,X1,X0))
| ~ big_f(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f7,plain,
! [X0,X1,X2] :
( big_f(X2,X1,sK1_skl(X0,X2,X1))
| big_f(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f8,plain,
! [X0,X1,X2] :
( big_f(X1,X0,sK1_skl(X2,X1,X0))
| ~ big_f(X1,X2,X0)
| ~ big_f(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f9,plain,
! [X0,X1,X2] :
( ~ big_f(X2,X1,sK1_skl(X0,X2,X1))
| big_f(X1,X2,X0)
| ~ big_f(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f10,plain,
! [X0,X1,X2] :
( ~ big_f(X2,X1,sK1_skl(X0,X2,X1))
| big_f(X2,X0,X1)
| ~ big_f(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f11,plain,
! [X0,X1,X2] :
( big_f(X2,sK1_skl(X1,X0,X2),X0)
| big_f(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f12,plain,
! [X0,X1,X2] :
( big_f(X0,sK1_skl(X2,X1,X0),X1)
| ~ big_f(X2,X0,X1)
| ~ big_f(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ~ big_f(X2,sK1_skl(X1,X0,X2),X0)
| big_f(X2,X0,X1)
| ~ big_f(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ~ big_f(X2,sK1_skl(X1,X0,X2),X0)
| big_f(X1,X2,X0)
| ~ big_f(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f15,plain,
! [X0,X1,X2] :
( big_f(sK1_skl(X0,X2,X1),X2,X1)
| ~ big_f(X2,X0,X1)
| ~ big_f(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ~ big_f(sK1_skl(X0,X2,X1),X2,X1)
| big_f(X1,X2,X0)
| big_f(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ~ big_f(sK1_skl(X1,X0,X2),X0,X2)
| big_f(X2,X0,X1)
| big_f(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ~ big_f(sK1_skl(X2,X1,X0),sK1_skl(X2,X1,X0),sK1_skl(X2,X1,X0))
| ~ big_f(X2,X0,X1)
| ~ big_f(X1,X2,X0)
| ~ big_f(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f23,plain,
! [X0] :
( big_f(X0,sK0_skl,sK0_skl)
| big_f(X0,sK0_skl,sK0_skl)
| big_f(sK0_skl,X0,sK0_skl)
| ~ big_f(sK0_skl,sK0_skl,X0) ),
inference(resolution,[status(thm)],[f6,f7]) ).
fof(f24,plain,
! [X0] :
( big_f(X0,sK0_skl,sK0_skl)
| big_f(sK0_skl,X0,sK0_skl)
| ~ big_f(sK0_skl,sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f23]) ).
fof(f39,plain,
! [X0] :
( big_f(X0,sK0_skl,sK0_skl)
| big_f(sK1_skl(X0,sK0_skl,sK0_skl),sK0_skl,sK0_skl)
| big_f(sK0_skl,sK1_skl(X0,sK0_skl,sK0_skl),sK0_skl) ),
inference(resolution,[status(thm)],[f24,f7]) ).
fof(f44,plain,
! [X0] :
( big_f(sK0_skl,sK0_skl,X0)
| big_f(X0,sK0_skl,sK0_skl)
| big_f(X0,sK0_skl,sK0_skl)
| big_f(sK0_skl,sK1_skl(X0,sK0_skl,sK0_skl),sK0_skl) ),
inference(resolution,[status(thm)],[f39,f17]) ).
fof(f45,plain,
! [X0] :
( big_f(sK0_skl,sK0_skl,X0)
| big_f(X0,sK0_skl,sK0_skl)
| big_f(sK0_skl,sK1_skl(X0,sK0_skl,sK0_skl),sK0_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f44]) ).
fof(f46,plain,
! [X0] :
( big_f(X0,sK0_skl,sK0_skl)
| ~ big_f(sK0_skl,X0,sK0_skl)
| big_f(sK0_skl,sK0_skl,X0)
| big_f(X0,sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f45,f14]) ).
fof(f48,plain,
! [X0] :
( ~ big_f(sK0_skl,X0,sK0_skl)
| big_f(sK0_skl,sK0_skl,X0)
| big_f(X0,sK0_skl,sK0_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f46]) ).
fof(f52,plain,
! [X0] :
( big_f(sK0_skl,X0,sK0_skl)
| big_f(sK0_skl,sK0_skl,sK1_skl(X0,sK0_skl,sK0_skl))
| big_f(sK1_skl(X0,sK0_skl,sK0_skl),sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f48,f11]) ).
fof(f53,plain,
! [X0] :
( big_f(sK0_skl,sK0_skl,X0)
| big_f(sK0_skl,X0,sK0_skl)
| big_f(sK0_skl,X0,sK0_skl)
| big_f(sK0_skl,sK0_skl,sK1_skl(X0,sK0_skl,sK0_skl)) ),
inference(resolution,[status(thm)],[f52,f18]) ).
fof(f55,plain,
! [X0] :
( big_f(sK0_skl,sK0_skl,X0)
| big_f(sK0_skl,X0,sK0_skl)
| big_f(sK0_skl,sK0_skl,sK1_skl(X0,sK0_skl,sK0_skl)) ),
inference(duplicate_literals_removal,[status(thm)],[f53]) ).
fof(f58,plain,
! [X0] :
( big_f(sK0_skl,X0,sK0_skl)
| ~ big_f(X0,sK0_skl,sK0_skl)
| big_f(sK0_skl,sK0_skl,X0)
| big_f(sK0_skl,X0,sK0_skl) ),
inference(resolution,[status(thm)],[f55,f10]) ).
fof(f60,plain,
! [X0] :
( ~ big_f(X0,sK0_skl,sK0_skl)
| big_f(sK0_skl,sK0_skl,X0)
| big_f(sK0_skl,X0,sK0_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f58]) ).
fof(f64,plain,
! [X0] :
( ~ big_f(sK0_skl,X0,sK0_skl)
| ~ big_f(X0,sK0_skl,sK0_skl)
| big_f(sK0_skl,sK0_skl,sK1_skl(X0,sK0_skl,sK0_skl))
| big_f(sK0_skl,sK1_skl(X0,sK0_skl,sK0_skl),sK0_skl) ),
inference(resolution,[status(thm)],[f60,f15]) ).
fof(f68,plain,
! [X0] :
( ~ big_f(X0,sK0_skl,sK0_skl)
| big_f(sK0_skl,sK0_skl,sK1_skl(X0,sK0_skl,sK0_skl))
| big_f(sK0_skl,sK1_skl(X0,sK0_skl,sK0_skl),sK0_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f64,f11]) ).
fof(f69,plain,
! [X0] :
( big_f(sK0_skl,sK0_skl,sK1_skl(X0,sK0_skl,sK0_skl))
| big_f(sK0_skl,sK1_skl(X0,sK0_skl,sK0_skl),sK0_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f68,f7]) ).
fof(f72,plain,
! [X0] :
( big_f(sK0_skl,sK0_skl,X0)
| ~ big_f(sK0_skl,X0,sK0_skl)
| big_f(sK0_skl,sK0_skl,sK1_skl(X0,sK0_skl,sK0_skl)) ),
inference(resolution,[status(thm)],[f69,f13]) ).
fof(f74,plain,
! [X0] :
( ~ big_f(sK0_skl,X0,sK0_skl)
| big_f(sK0_skl,sK0_skl,sK1_skl(X0,sK0_skl,sK0_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f72,f8]) ).
fof(f80,plain,
! [X0] :
( big_f(sK0_skl,sK0_skl,X0)
| ~ big_f(X0,sK0_skl,sK0_skl)
| ~ big_f(sK0_skl,X0,sK0_skl) ),
inference(resolution,[status(thm)],[f74,f9]) ).
fof(f82,plain,
! [X0] :
( big_f(sK0_skl,sK0_skl,X0)
| ~ big_f(X0,sK0_skl,sK0_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f80,f60]) ).
fof(f83,plain,
! [X0] :
( ~ big_f(sK0_skl,X0,sK0_skl)
| big_f(sK0_skl,sK0_skl,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f48,f82]) ).
fof(f88,plain,
! [X0] : big_f(sK0_skl,sK0_skl,sK1_skl(X0,sK0_skl,sK0_skl)),
inference(backward_subsumption_resolution,[status(thm)],[f69,f83]) ).
fof(f95,plain,
! [X0] :
( big_f(sK0_skl,X0,sK0_skl)
| ~ big_f(X0,sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f88,f10]) ).
fof(f97,plain,
! [X0] :
( big_f(X0,sK0_skl,sK0_skl)
| big_f(sK0_skl,sK1_skl(X0,sK0_skl,sK0_skl),sK0_skl) ),
inference(backward_subsumption_resolution,[status(thm)],[f39,f95]) ).
fof(f98,plain,
! [X0] :
( big_f(sK0_skl,X0,sK0_skl)
| ~ big_f(sK0_skl,sK0_skl,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f24,f95]) ).
fof(f102,plain,
! [X0] : big_f(sK0_skl,sK1_skl(X0,sK0_skl,sK0_skl),sK0_skl),
inference(resolution,[status(thm)],[f98,f88]) ).
fof(f107,plain,
! [X0] :
( big_f(X0,sK0_skl,sK0_skl)
| ~ big_f(sK0_skl,X0,sK0_skl)
| big_f(X0,sK0_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f97,f14]) ).
fof(f109,plain,
! [X0] :
( ~ big_f(sK0_skl,X0,sK0_skl)
| big_f(X0,sK0_skl,sK0_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f107]) ).
fof(f113,plain,
! [X0] : big_f(sK1_skl(X0,sK0_skl,sK0_skl),sK0_skl,sK0_skl),
inference(resolution,[status(thm)],[f109,f102]) ).
fof(f116,plain,
! [X0] :
( big_f(sK0_skl,sK0_skl,X0)
| big_f(sK0_skl,X0,sK0_skl) ),
inference(resolution,[status(thm)],[f113,f18]) ).
fof(f120,plain,
! [X0] : big_f(sK0_skl,sK0_skl,X0),
inference(forward_subsumption_resolution,[status(thm)],[f116,f83]) ).
fof(f122,plain,
! [X0,X1,X2] :
( big_f(X2,X0,X1)
| big_f(X1,X2,X0)
| ~ big_f(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f6,f120]) ).
fof(f139,plain,
! [X0,X1,X2] :
( ~ big_f(X0,X2,X1)
| ~ big_f(X2,X1,X0)
| big_f(X1,sK1_skl(X2,X0,X1),X0)
| big_f(X0,X1,sK1_skl(X2,X0,X1)) ),
inference(resolution,[status(thm)],[f122,f15]) ).
fof(f149,plain,
! [X0,X1,X2] :
( ~ big_f(X2,X1,X0)
| big_f(X1,sK1_skl(X2,X0,X1),X0)
| big_f(X0,X1,sK1_skl(X2,X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f139,f11]) ).
fof(f150,plain,
! [X0,X1,X2] :
( big_f(X1,sK1_skl(X2,X0,X1),X0)
| big_f(X0,X1,sK1_skl(X2,X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f149,f7]) ).
fof(f152,plain,
! [X0,X1,X2] :
( big_f(X0,X2,X1)
| ~ big_f(X1,X0,X2)
| big_f(X0,sK1_skl(X1,X2,X0),X2) ),
inference(resolution,[status(thm)],[f150,f9]) ).
fof(f157,plain,
! [X0,X1,X2] :
( ~ big_f(X1,X0,X2)
| big_f(X0,sK1_skl(X1,X2,X0),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f152,f12]) ).
fof(f162,plain,
! [X0,X1,X2] :
( big_f(X1,X2,X0)
| ~ big_f(X2,X0,X1)
| ~ big_f(X0,X1,X2) ),
inference(resolution,[status(thm)],[f157,f13]) ).
fof(f164,plain,
! [X0,X1,X2] :
( big_f(X1,X2,X0)
| ~ big_f(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f162,f122]) ).
fof(f166,plain,
! [X0,X1,X2] :
( ~ big_f(sK1_skl(X1,X0,X2),X0,X2)
| big_f(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f18,f164]) ).
fof(f168,plain,
! [X0,X1,X2] : big_f(X0,sK1_skl(X1,X2,X0),X2),
inference(backward_subsumption_resolution,[status(thm)],[f150,f164]) ).
fof(f169,plain,
! [X0,X1,X2] :
( ~ big_f(sK1_skl(X2,X1,X0),sK1_skl(X2,X1,X0),sK1_skl(X2,X1,X0))
| ~ big_f(X2,X0,X1)
| ~ big_f(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f22,f164]) ).
fof(f174,plain,
! [X0,X1,X2] :
( ~ big_f(sK1_skl(X0,X2,X1),sK1_skl(X0,X2,X1),sK1_skl(X0,X2,X1))
| ~ big_f(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f169,f164]) ).
fof(f178,plain,
! [X0,X1,X2] :
( ~ big_f(X2,sK1_skl(X1,X0,X2),X0)
| big_f(X0,X1,X2) ),
inference(resolution,[status(thm)],[f166,f164]) ).
fof(f179,plain,
! [X0,X1,X2] : big_f(X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f178,f168]) ).
fof(f180,plain,
! [X0,X1,X2] : ~ big_f(sK1_skl(X0,X1,X2),sK1_skl(X0,X1,X2),sK1_skl(X0,X1,X2)),
inference(forward_subsumption_resolution,[status(thm)],[f174,f179]) ).
fof(f181,plain,
$false,
inference(resolution,[status(thm)],[f180,f179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN353+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n016.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Mon Sep 21 10:55:58 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 % Drodi V4.1.1
% 0.13/5.41 % Refutation found
% 0.13/5.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/5.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/5.43 % Elapsed time: 0.052505 seconds
% 0.13/5.43 % CPU time: 0.189226 seconds
% 0.13/5.43 % Total memory used: 17.909 MB
% 0.13/5.43 % Net memory used: 17.380 MB
%------------------------------------------------------------------------------