%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN322+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 : n003.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 05:36:46 PM UTC 2026
% Result : CounterSatisfiable 1.25s 1.72s
% Output : Saturation 1.25s
% Verified :
% SZS Type : Derivation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 1 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 23 ( 12 ~; 4 |; 1 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 1 ( 1 usr; 0 prp; 2-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 15 ( 2 sgn 7 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_4_1,conjecture,
? [X1] :
( ! [X2] :
( big_f(X2,X1)
=> big_f(X1,X2) )
=> ~ ! [X2] :
( big_f(X2,X1)
=> ~ big_f(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_4_1) ).
fof(c_0_1,negated_conjecture,
~ ? [X1] :
( ! [X2] :
( big_f(X2,X1)
=> big_f(X1,X2) )
=> ~ ! [X2] :
( big_f(X2,X1)
=> ~ big_f(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[church_46_4_1])]) ).
fof(c_0_2,negated_conjecture,
! [X6,X7,X8] :
( ( ~ big_f(X7,X6)
| big_f(X6,X7) )
& ( ~ big_f(X8,X6)
| ~ big_f(X6,X8) ) ),
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_f(X1,X2)
| ~ big_f(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( big_f(X2,X1)
| ~ big_f(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
~ big_f(X1,X2),
inference(csr,[status(thm)],[c_0_3,c_0_4]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN322+1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n003.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 08:27:26 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.25/1.72 % Version : CSE_E---1.7
% 1.25/1.72 % Problem : theBenchmark.p
% 1.25/1.72 % SZS status CounterSatisfiable for theBenchmark.p
% 1.25/1.72 % SZS output start Saturation
% See solution above
% 1.25/1.72 % Total time : 1.370s
%------------------------------------------------------------------------------