%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN343+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 09:37:38 AM UTC 2026
% Result : Theorem 0.17s 0.46s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 3 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 14 ( 4 ~; 2 |; 2 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 15 ( 3 sgn 2 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_16_2,conjecture,
? [X,Y1,Y2] :
! [Z] :
( ( ( big_f(X,Y1)
=> big_f(Z,X) )
=> big_f(X,X) )
=> ( big_f(Y1,Y2)
& big_f(X,X) ) ),
file('theBenchmark.p',church_46_16_2) ).
fof(church_46_16_2_neg,negated_conjecture,
~ ? [X,Y1,Y2] :
! [Z] :
( ( ( big_f(X,Y1)
=> big_f(Z,X) )
=> big_f(X,X) )
=> ( big_f(Y1,Y2)
& big_f(X,X) ) ),
inference(assume_negation,[status(cth)],[church_46_16_2]) ).
cnf(c_2,negated_conjecture,
( big_f(A,A)
| big_f(A,B) ),
inference(clausify,[status(thm)],[church_46_16_2_neg]) ).
cnf(c_4,negated_conjecture,
( ~ big_f(B,C)
| ~ big_f(A,A) ),
inference(clausify,[status(thm)],[church_46_16_2_neg]) ).
cnf(c_5,plain,
big_f(A,A),
inference(factor,[status(thm)],[c_2]) ).
cnf(c_7,plain,
~ big_f(A,A),
inference(factor,[status(thm)],[c_4]) ).
cnf(c_6,plain,
$false,
inference(resolve,[status(thm)],[c_5,c_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN343+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n015.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sat Sep 26 17:39:58 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.44 % Process 395033 was started by sandbox on n015,
% 0.17/0.44 % Sat Sep 26 17:39:58 2026
% 0.17/0.44 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.17/0.45
% 0.17/0.45 % From the command line: assign(max_seconds, 300).
% 0.17/0.46
% 0.17/0.46 % SZS status Theorem for theBenchmark
% 0.17/0.46
% 0.17/0.46 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.17/0.46 % Length of proof is 5.
% 0.17/0.46 % Level of proof is 3.
% 0.17/0.46 % Maximum clause weight is 6.000.
% 0.17/0.46 % Given clauses 0.
% 0.17/0.46
% 0.17/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------