%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN323+1 : TPTP v9.2.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n012.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 May 5 05:36:47 PM UTC 2026
% Result : Theorem 1.12s 1.61s
% Output : CNFRefutation 1.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 35 ( 14 ~; 8 |; 3 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 21 ( 4 sgn 7 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_4_2,conjecture,
? [X1] :
( ! [X2] :
( ( big_f(X2,X1)
=> big_f(X1,X2) )
=> big_g(X2,X1) )
=> ~ ! [X2] :
( ( big_f(X2,X1)
=> big_f(X1,X2) )
=> ~ big_g(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_4_2) ).
fof(c_0_1,negated_conjecture,
~ ? [X1] :
( ! [X2] :
( ( big_f(X2,X1)
=> big_f(X1,X2) )
=> big_g(X2,X1) )
=> ~ ! [X2] :
( ( big_f(X2,X1)
=> big_f(X1,X2) )
=> ~ big_g(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[church_46_4_2])]) ).
fof(c_0_2,negated_conjecture,
! [X6,X7,X8] :
( ( big_f(X7,X6)
| big_g(X7,X6) )
& ( ~ big_f(X6,X7)
| big_g(X7,X6) )
& ( big_f(X8,X6)
| ~ big_g(X8,X6) )
& ( ~ big_f(X6,X8)
| ~ big_g(X8,X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).
cnf(c_0_3,negated_conjecture,
( big_g(X2,X1)
| ~ big_f(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( ~ big_f(X1,X2)
| ~ big_g(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( big_f(X1,X2)
| big_g(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
~ big_f(X1,X2),
inference(csr,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( big_f(X1,X2)
| ~ big_g(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
big_g(X1,X2),
inference(sr,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]),c_0_6]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SYN323+1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.08/0.24 % Computer : n012.cluster.edu
% 0.08/0.24 % Model : x86_64 x86_64
% 0.08/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.24 % Memory : 8042.1875MB
% 0.08/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.24 % CPULimit : 300
% 0.08/0.24 % WCLimit : 300
% 0.08/0.24 % DateTime : Tue May 5 08:27:31 EDT 2026
% 0.08/0.24 % CPUTime :
% 0.08/0.25 % start to proof: theBenchmark
% 1.12/1.61 % Version : CSE_E---1.7
% 1.12/1.61 % Problem : theBenchmark.p
% 1.12/1.61 % SZS status Theorem for theBenchmark.p
% 1.12/1.61 % SZS output start CNFRefutation
% See solution above
% 1.12/1.61 % Total time : 1.361s
%------------------------------------------------------------------------------