TSTP Solution File: SYN353+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN353+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 : Tue Apr 30 20:51:59 EDT 2024
% Result : Theorem 0.20s 0.37s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 1
% Syntax : Number of formulae : 65 ( 9 unt; 0 def)
% Number of atoms : 286 ( 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 : 136 ( 126 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X] :
? [Y1,Y2,Y3] :
! [Z] :
( ( big_f(Y1,Y2,Y3)
=> ( big_f(X,X,Z)
=> ( big_f(Y2,Y3,Y1)
| big_f(Y3,Y1,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(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(Y1,Y2,Y3)
& big_f(Y2,Y3,Y1)
& big_f(Y3,Y1,Y2) )
<=> big_f(Z,Z,Z) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [X] :
? [Y1,Y2,Y3] :
! [Z] :
( ( big_f(Y1,Y2,Y3)
=> ( big_f(X,X,Z)
=> ( big_f(Y2,Y3,Y1)
| big_f(Y3,Y1,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(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(Y1,Y2,Y3)
& big_f(Y2,Y3,Y1)
& big_f(Y3,Y1,Y2) )
<=> big_f(Z,Z,Z) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X] :
! [Y1,Y2,Y3] :
? [Z] :
( ( ~ big_f(Y1,Y2,Y3)
| ~ big_f(X,X,Z)
| big_f(Y2,Y3,Y1)
| big_f(Y3,Y1,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(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(Y1,Y2,Y3)
& big_f(Y2,Y3,Y1)
& big_f(Y3,Y1,Y2) )
<~> big_f(Z,Z,Z) ) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f4,plain,
? [X] :
! [Y1,Y2,Y3] :
? [Z] :
( ( ~ big_f(Y1,Y2,Y3)
| ~ big_f(X,X,Z)
| big_f(Y2,Y3,Y1)
| big_f(Y3,Y1,Y2) )
& ( ( big_f(Y3,Y1,Y2)
& ( ~ big_f(Y1,Y2,Y3)
| ~ big_f(Y2,Y3,Y1) ) )
| big_f(Y2,Y1,Z) )
& ( ~ 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(Y1,Z,Y2) )
& ( ~ big_f(Y2,Y3,Y1)
| ( big_f(Y1,Y2,Y3)
& big_f(Y3,Y1,Y2) )
| ~ 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,Y2,Y1) )
& ( ( big_f(Y1,Y2,Y3)
& big_f(Y2,Y3,Y1)
& big_f(Y3,Y1,Y2) )
| big_f(Z,Z,Z) )
& ( ~ big_f(Y1,Y2,Y3)
| ~ big_f(Y2,Y3,Y1)
| ~ big_f(Y3,Y1,Y2)
| ~ big_f(Z,Z,Z) ) ),
inference(NNF_transformation,[status(esa)],[f3]) ).
fof(f5,plain,
! [Y1,Y2,Y3] :
( ( ~ big_f(Y1,Y2,Y3)
| ~ big_f(sk0_0,sk0_0,sk0_1(Y3,Y2,Y1))
| big_f(Y2,Y3,Y1)
| big_f(Y3,Y1,Y2) )
& ( ( big_f(Y3,Y1,Y2)
& ( ~ big_f(Y1,Y2,Y3)
| ~ big_f(Y2,Y3,Y1) ) )
| big_f(Y2,Y1,sk0_1(Y3,Y2,Y1)) )
& ( ~ big_f(Y3,Y1,Y2)
| ( big_f(Y1,Y2,Y3)
& big_f(Y2,Y3,Y1) )
| ~ big_f(Y2,Y1,sk0_1(Y3,Y2,Y1)) )
& ( ( big_f(Y2,Y3,Y1)
& ( ~ big_f(Y1,Y2,Y3)
| ~ big_f(Y3,Y1,Y2) ) )
| big_f(Y1,sk0_1(Y3,Y2,Y1),Y2) )
& ( ~ big_f(Y2,Y3,Y1)
| ( big_f(Y1,Y2,Y3)
& big_f(Y3,Y1,Y2) )
| ~ big_f(Y1,sk0_1(Y3,Y2,Y1),Y2) )
& ( ( ( ~ big_f(Y3,Y1,Y2)
| ~ big_f(Y2,Y3,Y1) )
& ~ big_f(Y1,Y2,Y3) )
| big_f(sk0_1(Y3,Y2,Y1),Y2,Y1) )
& ( ( big_f(Y3,Y1,Y2)
& big_f(Y2,Y3,Y1) )
| big_f(Y1,Y2,Y3)
| ~ big_f(sk0_1(Y3,Y2,Y1),Y2,Y1) )
& ( ( big_f(Y1,Y2,Y3)
& big_f(Y2,Y3,Y1)
& big_f(Y3,Y1,Y2) )
| big_f(sk0_1(Y3,Y2,Y1),sk0_1(Y3,Y2,Y1),sk0_1(Y3,Y2,Y1)) )
& ( ~ big_f(Y1,Y2,Y3)
| ~ big_f(Y2,Y3,Y1)
| ~ big_f(Y3,Y1,Y2)
| ~ big_f(sk0_1(Y3,Y2,Y1),sk0_1(Y3,Y2,Y1),sk0_1(Y3,Y2,Y1)) ) ),
inference(skolemization,[status(esa)],[f4]) ).
fof(f6,plain,
! [X0,X1,X2] :
( ~ big_f(X0,X1,X2)
| ~ big_f(sk0_0,sk0_0,sk0_1(X2,X1,X0))
| big_f(X1,X2,X0)
| big_f(X2,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f7,plain,
! [X0,X1,X2] :
( big_f(X0,X1,X2)
| big_f(X2,X1,sk0_1(X0,X2,X1)) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f8,plain,
! [X0,X1,X2] :
( ~ big_f(X0,X1,X2)
| ~ big_f(X1,X2,X0)
| big_f(X1,X0,sk0_1(X2,X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f9,plain,
! [X0,X1,X2] :
( ~ big_f(X0,X1,X2)
| big_f(X1,X2,X0)
| ~ big_f(X2,X1,sk0_1(X0,X2,X1)) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f10,plain,
! [X0,X1,X2] :
( ~ big_f(X0,X1,X2)
| big_f(X2,X0,X1)
| ~ big_f(X2,X1,sk0_1(X0,X2,X1)) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
! [X0,X1,X2] :
( big_f(X0,X1,X2)
| big_f(X2,sk0_1(X1,X0,X2),X0) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ~ big_f(X0,X1,X2)
| big_f(X2,X0,X1)
| ~ big_f(X2,sk0_1(X1,X0,X2),X0) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ~ big_f(X0,X1,X2)
| big_f(X1,X2,X0)
| ~ big_f(X2,sk0_1(X1,X0,X2),X0) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f15,plain,
! [X0,X1,X2] :
( ~ big_f(X0,X1,X2)
| ~ big_f(X2,X0,X1)
| big_f(sk0_1(X0,X2,X1),X2,X1) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f17,plain,
! [X0,X1,X2] :
( big_f(X0,X1,X2)
| big_f(X1,X2,X0)
| ~ big_f(sk0_1(X0,X2,X1),X2,X1) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f18,plain,
! [X0,X1,X2] :
( big_f(X0,X1,X2)
| big_f(X2,X0,X1)
| ~ big_f(sk0_1(X1,X0,X2),X0,X2) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ~ big_f(X0,X1,X2)
| ~ big_f(X1,X2,X0)
| ~ big_f(X2,X0,X1)
| ~ big_f(sk0_1(X2,X1,X0),sk0_1(X2,X1,X0),sk0_1(X2,X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f23,plain,
! [X0] :
( ~ big_f(sk0_0,sk0_0,X0)
| big_f(sk0_0,X0,sk0_0)
| big_f(X0,sk0_0,sk0_0)
| big_f(X0,sk0_0,sk0_0) ),
inference(resolution,[status(thm)],[f6,f7]) ).
fof(f24,plain,
! [X0] :
( ~ big_f(sk0_0,sk0_0,X0)
| big_f(sk0_0,X0,sk0_0)
| big_f(X0,sk0_0,sk0_0) ),
inference(duplicate_literals_removal,[status(esa)],[f23]) ).
fof(f26,plain,
! [X0] :
( big_f(sk0_0,sk0_1(X0,sk0_0,sk0_0),sk0_0)
| big_f(sk0_1(X0,sk0_0,sk0_0),sk0_0,sk0_0)
| big_f(X0,sk0_0,sk0_0) ),
inference(resolution,[status(thm)],[f24,f7]) ).
fof(f28,plain,
! [X0] :
( big_f(sk0_0,sk0_1(X0,sk0_0,sk0_0),sk0_0)
| big_f(X0,sk0_0,sk0_0)
| big_f(X0,sk0_0,sk0_0)
| big_f(sk0_0,sk0_0,X0) ),
inference(resolution,[status(thm)],[f26,f17]) ).
fof(f29,plain,
! [X0] :
( big_f(sk0_0,sk0_1(X0,sk0_0,sk0_0),sk0_0)
| big_f(X0,sk0_0,sk0_0)
| big_f(sk0_0,sk0_0,X0) ),
inference(duplicate_literals_removal,[status(esa)],[f28]) ).
fof(f30,plain,
! [X0] :
( big_f(X0,sk0_0,sk0_0)
| big_f(sk0_0,sk0_0,X0)
| ~ big_f(sk0_0,X0,sk0_0)
| big_f(X0,sk0_0,sk0_0) ),
inference(resolution,[status(thm)],[f29,f14]) ).
fof(f31,plain,
! [X0] :
( big_f(X0,sk0_0,sk0_0)
| big_f(sk0_0,sk0_0,X0)
| ~ big_f(sk0_0,X0,sk0_0) ),
inference(duplicate_literals_removal,[status(esa)],[f30]) ).
fof(f36,plain,
! [X0] :
( big_f(sk0_1(X0,sk0_0,sk0_0),sk0_0,sk0_0)
| big_f(sk0_0,sk0_0,sk0_1(X0,sk0_0,sk0_0))
| big_f(sk0_0,X0,sk0_0) ),
inference(resolution,[status(thm)],[f31,f11]) ).
fof(f37,plain,
! [X0] :
( big_f(sk0_0,sk0_0,sk0_1(X0,sk0_0,sk0_0))
| big_f(sk0_0,X0,sk0_0)
| big_f(sk0_0,X0,sk0_0)
| big_f(sk0_0,sk0_0,X0) ),
inference(resolution,[status(thm)],[f36,f18]) ).
fof(f38,plain,
! [X0] :
( big_f(sk0_0,sk0_0,sk0_1(X0,sk0_0,sk0_0))
| big_f(sk0_0,X0,sk0_0)
| big_f(sk0_0,sk0_0,X0) ),
inference(duplicate_literals_removal,[status(esa)],[f37]) ).
fof(f41,plain,
! [X0] :
( big_f(sk0_0,X0,sk0_0)
| big_f(sk0_0,sk0_0,X0)
| ~ big_f(X0,sk0_0,sk0_0)
| big_f(sk0_0,X0,sk0_0) ),
inference(resolution,[status(thm)],[f38,f10]) ).
fof(f42,plain,
! [X0] :
( big_f(sk0_0,X0,sk0_0)
| big_f(sk0_0,sk0_0,X0)
| ~ big_f(X0,sk0_0,sk0_0) ),
inference(duplicate_literals_removal,[status(esa)],[f41]) ).
fof(f49,plain,
! [X0] :
( big_f(sk0_0,sk0_1(X0,sk0_0,sk0_0),sk0_0)
| big_f(sk0_0,sk0_0,sk0_1(X0,sk0_0,sk0_0))
| ~ big_f(X0,sk0_0,sk0_0)
| ~ big_f(sk0_0,X0,sk0_0) ),
inference(resolution,[status(thm)],[f42,f15]) ).
fof(f50,plain,
! [X0] :
( big_f(sk0_0,sk0_1(X0,sk0_0,sk0_0),sk0_0)
| big_f(sk0_0,sk0_0,sk0_1(X0,sk0_0,sk0_0))
| ~ big_f(X0,sk0_0,sk0_0) ),
inference(forward_subsumption_resolution,[status(thm)],[f49,f11]) ).
fof(f52,plain,
! [X0] :
( big_f(sk0_0,sk0_1(X0,sk0_0,sk0_0),sk0_0)
| big_f(sk0_0,sk0_0,sk0_1(X0,sk0_0,sk0_0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f50,f7]) ).
fof(f56,plain,
! [X0] :
( big_f(sk0_0,sk0_0,sk0_1(X0,sk0_0,sk0_0))
| ~ big_f(sk0_0,X0,sk0_0)
| big_f(sk0_0,sk0_0,X0) ),
inference(resolution,[status(thm)],[f52,f13]) ).
fof(f57,plain,
! [X0] :
( big_f(sk0_0,sk0_0,sk0_1(X0,sk0_0,sk0_0))
| ~ big_f(sk0_0,X0,sk0_0) ),
inference(forward_subsumption_resolution,[status(thm)],[f56,f8]) ).
fof(f62,plain,
! [X0] :
( ~ big_f(sk0_0,X0,sk0_0)
| ~ big_f(X0,sk0_0,sk0_0)
| big_f(sk0_0,sk0_0,X0) ),
inference(resolution,[status(thm)],[f57,f9]) ).
fof(f63,plain,
! [X0] :
( ~ big_f(X0,sk0_0,sk0_0)
| big_f(sk0_0,sk0_0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f62,f42]) ).
fof(f64,plain,
! [X0] :
( big_f(sk0_0,sk0_0,X0)
| ~ big_f(sk0_0,X0,sk0_0) ),
inference(backward_subsumption_resolution,[status(thm)],[f31,f63]) ).
fof(f69,plain,
! [X0] : big_f(sk0_0,sk0_0,sk0_1(X0,sk0_0,sk0_0)),
inference(backward_subsumption_resolution,[status(thm)],[f52,f64]) ).
fof(f76,plain,
! [X0] :
( ~ big_f(X0,sk0_0,sk0_0)
| big_f(sk0_0,X0,sk0_0) ),
inference(resolution,[status(thm)],[f69,f10]) ).
fof(f78,plain,
! [X0] :
( big_f(sk0_0,sk0_1(X0,sk0_0,sk0_0),sk0_0)
| big_f(X0,sk0_0,sk0_0) ),
inference(backward_subsumption_resolution,[status(thm)],[f26,f76]) ).
fof(f79,plain,
! [X0] :
( ~ big_f(sk0_0,sk0_0,X0)
| big_f(sk0_0,X0,sk0_0) ),
inference(backward_subsumption_resolution,[status(thm)],[f24,f76]) ).
fof(f84,plain,
! [X0] :
( big_f(sk0_0,sk0_1(X0,sk0_0,sk0_0),sk0_0)
| ~ big_f(sk0_0,sk0_0,X0)
| ~ big_f(sk0_0,X0,sk0_0) ),
inference(resolution,[status(thm)],[f79,f8]) ).
fof(f85,plain,
! [X0] :
( big_f(sk0_0,sk0_1(X0,sk0_0,sk0_0),sk0_0)
| ~ big_f(sk0_0,X0,sk0_0) ),
inference(forward_subsumption_resolution,[status(thm)],[f84,f64]) ).
fof(f88,plain,
! [X0] :
( big_f(X0,sk0_0,sk0_0)
| ~ big_f(sk0_0,X0,sk0_0)
| big_f(X0,sk0_0,sk0_0) ),
inference(resolution,[status(thm)],[f78,f14]) ).
fof(f89,plain,
! [X0] :
( big_f(X0,sk0_0,sk0_0)
| ~ big_f(sk0_0,X0,sk0_0) ),
inference(duplicate_literals_removal,[status(esa)],[f88]) ).
fof(f91,plain,
! [X0] : big_f(sk0_0,sk0_1(X0,sk0_0,sk0_0),sk0_0),
inference(forward_subsumption_resolution,[status(thm)],[f85,f11]) ).
fof(f95,plain,
! [X0] : big_f(sk0_1(X0,sk0_0,sk0_0),sk0_0,sk0_0),
inference(resolution,[status(thm)],[f89,f91]) ).
fof(f98,plain,
! [X0] :
( big_f(sk0_0,X0,sk0_0)
| big_f(sk0_0,sk0_0,X0) ),
inference(resolution,[status(thm)],[f95,f18]) ).
fof(f99,plain,
! [X0] : big_f(sk0_0,sk0_0,X0),
inference(forward_subsumption_resolution,[status(thm)],[f98,f64]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ~ big_f(X0,X1,X2)
| big_f(X1,X2,X0)
| big_f(X2,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f6,f99]) ).
fof(f120,plain,
! [X0,X1,X2] :
( big_f(X0,X1,sk0_1(X2,X0,X1))
| big_f(X1,sk0_1(X2,X0,X1),X0)
| ~ big_f(X2,X1,X0)
| ~ big_f(X0,X2,X1) ),
inference(resolution,[status(thm)],[f104,f15]) ).
fof(f121,plain,
! [X0,X1,X2] :
( big_f(X0,X1,sk0_1(X2,X0,X1))
| big_f(X1,sk0_1(X2,X0,X1),X0)
| ~ big_f(X2,X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f120,f11]) ).
fof(f135,plain,
! [X0,X1,X2] :
( big_f(X0,X1,sk0_1(X2,X0,X1))
| big_f(X1,sk0_1(X2,X0,X1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f121,f7]) ).
fof(f137,plain,
! [X0,X1,X2] :
( big_f(X0,X1,sk0_1(X2,X0,X1))
| ~ big_f(X0,X2,X1)
| big_f(X1,X0,X2) ),
inference(resolution,[status(thm)],[f135,f13]) ).
fof(f138,plain,
! [X0,X1,X2] :
( big_f(X0,X1,sk0_1(X2,X0,X1))
| ~ big_f(X0,X2,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f137,f8]) ).
fof(f141,plain,
! [X0,X1,X2] :
( ~ big_f(X0,X1,X2)
| ~ big_f(X1,X2,X0)
| big_f(X2,X0,X1) ),
inference(resolution,[status(thm)],[f138,f9]) ).
fof(f142,plain,
! [X0,X1,X2] :
( ~ big_f(X0,X1,X2)
| big_f(X1,X2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f141,f104]) ).
fof(f145,plain,
! [X0,X1,X2] : big_f(X0,sk0_1(X1,X2,X0),X2),
inference(backward_subsumption_resolution,[status(thm)],[f135,f142]) ).
fof(f146,plain,
! [X0,X1,X2] :
( big_f(X0,X1,X2)
| ~ big_f(sk0_1(X1,X0,X2),X0,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f18,f142]) ).
fof(f148,plain,
! [X0,X1,X2] :
( ~ big_f(X0,X1,X2)
| ~ big_f(X2,X0,X1)
| ~ big_f(sk0_1(X2,X1,X0),sk0_1(X2,X1,X0),sk0_1(X2,X1,X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f22,f142]) ).
fof(f149,plain,
! [X0,X1,X2] :
( ~ big_f(X0,X1,X2)
| ~ big_f(sk0_1(X0,X2,X1),sk0_1(X0,X2,X1),sk0_1(X0,X2,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f148,f142]) ).
fof(f164,plain,
! [X0,X1,X2] : big_f(sk0_1(X0,X1,X2),X1,X2),
inference(resolution,[status(thm)],[f145,f142]) ).
fof(f177,plain,
! [X0,X1,X2] : big_f(X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f146,f164]) ).
fof(f178,plain,
! [X0,X1,X2] : ~ big_f(sk0_1(X0,X1,X2),sk0_1(X0,X1,X2),sk0_1(X0,X1,X2)),
inference(forward_subsumption_resolution,[status(thm)],[f149,f177]) ).
fof(f179,plain,
$false,
inference(resolution,[status(thm)],[f178,f177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN353+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 21:50:56 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.20/0.37 % Refutation found
% 0.20/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.38 % Elapsed time: 0.034738 seconds
% 0.20/0.38 % CPU time: 0.184307 seconds
% 0.20/0.38 % Total memory used: 6.591 MB
% 0.20/0.38 % Net memory used: 6.418 MB
%------------------------------------------------------------------------------