%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN326+1 : TPTP v9.2.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n019.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 1.26s 1.72s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 38 ( 8 ~; 8 |; 6 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 13 ( 1 sgn 5 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_12_1,conjecture,
? [X1] :
! [X2,X3] :
( ( ( big_f(X2,X3)
=> ( big_g(X2)
=> big_h(X1) ) )
=> big_f(X1,X1) )
=> ( ( ( big_f(X3,X1)
=> big_g(X1) )
=> big_h(X3) )
=> ( big_f(X1,X2)
=> big_f(X3,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_12_1) ).
fof(c_0_1,negated_conjecture,
~ ? [X1] :
! [X2,X3] :
( ( ( big_f(X2,X3)
=> ( big_g(X2)
=> big_h(X1) ) )
=> big_f(X1,X1) )
=> ( ( ( big_f(X3,X1)
=> big_g(X1) )
=> big_h(X3) )
=> ( big_f(X1,X2)
=> big_f(X3,X3) ) ) ),
inference(assume_negation,[status(cth)],[church_46_12_1]) ).
fof(c_0_2,negated_conjecture,
! [X7] :
( ( big_f(esk1_1(X7),esk2_1(X7))
| big_f(X7,X7) )
& ( big_g(esk1_1(X7))
| big_f(X7,X7) )
& ( ~ big_h(X7)
| big_f(X7,X7) )
& ( big_f(esk2_1(X7),X7)
| big_h(esk2_1(X7)) )
& ( ~ big_g(X7)
| big_h(esk2_1(X7)) )
& big_f(X7,esk1_1(X7))
& ~ big_f(esk2_1(X7),esk2_1(X7)) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).
cnf(c_0_3,negated_conjecture,
( big_f(X1,X1)
| ~ big_h(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( big_h(esk2_1(X1))
| ~ big_g(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
~ big_f(esk2_1(X1),esk2_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( big_g(esk1_1(X1))
| big_f(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,negated_conjecture,
~ big_g(X1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]) ).
cnf(c_0_8,negated_conjecture,
big_f(X1,X1),
inference(sr,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN326+1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n019.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 08:28:14 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 1.26/1.72 % Version : CSE_E---1.7
% 1.26/1.72 % Problem : theBenchmark.p
% 1.26/1.72 % SZS status Theorem for theBenchmark.p
% 1.26/1.72 % SZS output start CNFRefutation
% See solution above
% 1.26/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------