%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN339+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 : Sun Sep 27 09:37:37 AM UTC 2026
% Result : Theorem 0.17s 0.44s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 3 unt; 0 def)
% Number of atoms : 11 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 4 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 15 ( 2 sgn 6 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_15_4,conjecture,
? [X] :
! [Y] :
? [Z] :
( big_f(X,Y,Z)
=> big_f(Y,Z,Z) ),
file('theBenchmark.p',church_46_15_4) ).
fof(church_46_15_4_neg,negated_conjecture,
~ ? [X] :
! [Y] :
? [Z] :
( big_f(X,Y,Z)
=> big_f(Y,Z,Z) ),
inference(assume_negation,[status(cth)],[church_46_15_4]) ).
fof(nnf_1,plain,
! [X] :
? [Y] :
! [Z] :
( ~ big_f(Y,Z,Z)
& big_f(X,Y,Z) ),
inference(fof_nnf,[status(thm)],[church_46_15_4_neg]) ).
fof(sk_church_46_15_4_neg,plain,
! [X,Z] :
( ~ big_f(sK0(X),Z,Z)
& big_f(X,sK0(X),Z) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(Y,sK0(X))],[nnf_1]) ).
cnf(c_2,negated_conjecture,
~ big_f(sK0(A),B,B),
inference(split_conjunct,[status(thm)],[sk_church_46_15_4_neg]) ).
cnf(c_3,negated_conjecture,
big_f(A,sK0(A),B),
inference(split_conjunct,[status(thm)],[sk_church_46_15_4_neg]) ).
cnf(c_4,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_2,c_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN339+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n008.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sat Sep 26 17:36:39 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.43 % Process 4164127 was started by sandbox2 on n008,
% 0.17/0.43 % Sat Sep 26 17:36:39 2026
% 0.17/0.43 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.17/0.43
% 0.17/0.43 % From the command line: assign(max_seconds, 300).
% 0.17/0.44
% 0.17/0.44 % SZS status Theorem for theBenchmark
% 0.17/0.44
% 0.17/0.44 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.17/0.44 % Length of proof is 4.
% 0.17/0.44 % Level of proof is 2.
% 0.17/0.44 % Maximum clause weight is 0.000.
% 0.17/0.44 % Given clauses 0.
% 0.17/0.44
% 0.17/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------