%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN346+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 : n023.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 05:36:52 PM UTC 2026
% Result : Theorem 0.26s 1.61s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 3 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 26 ( 9 ~; 6 |; 7 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 22 ( 5 sgn 10 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_17_2,conjecture,
! [X1,X2] :
? [X3,X4] :
! [X5,X6] :
( big_f(X2,X5)
=> ( big_f(X3,X6)
=> ( ( big_f(X3,X5)
& big_f(X4,X5) )
| ( big_f(X2,X6)
& big_f(X4,X6) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_17_2) ).
fof(i_0_1,negated_conjecture,
~ ! [X1,X2] :
? [X3,X4] :
! [X5,X6] :
( big_f(X2,X5)
=> ( big_f(X3,X6)
=> ( ( big_f(X3,X5)
& big_f(X4,X5) )
| ( big_f(X2,X6)
& big_f(X4,X6) ) ) ) ),
inference(assume_negation,[status(cth)],[church_46_17_2]) ).
fof(i_0_2,negated_conjecture,
! [X14,X15] :
( big_f(esk1_0,esk2_2(X14,X15))
& big_f(X14,esk3_2(X14,X15))
& ( ~ big_f(X14,esk2_2(X14,X15))
| ~ big_f(X15,esk2_2(X14,X15)) )
& ( ~ big_f(esk1_0,esk3_2(X14,X15))
| ~ big_f(X15,esk3_2(X14,X15)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[i_0_1])])])]) ).
cnf(i_0_3,negated_conjecture,
( ~ big_f(X1,esk2_2(X1,X2))
| ~ big_f(X2,esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_4,negated_conjecture,
( ~ big_f(esk1_0,esk3_2(X1,X2))
| ~ big_f(X2,esk3_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_5,negated_conjecture,
big_f(X1,esk3_2(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_6,negated_conjecture,
big_f(esk1_0,esk2_2(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_7,plain,
$false,
inference(scs_inference,[],[i_0_6,i_0_3]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN346+1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.11 % 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
% 0.17/0.33 % Computer : n023.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Tue May 5 08:30:23 EDT 2026
% 0.17/0.33 % CPUTime :
% 0.17/0.34 % start to proof: theBenchmark
% 0.26/1.61 % Version : CSE_E---1.7
% 0.26/1.61 % Problem : theBenchmark.p
% 0.26/1.61 % SZS status Theorem for theBenchmark.p
% 0.26/1.61 % SZS output start CNFRefutation
% See solution above
% 0.26/1.63 % Total time : 1.272s
%------------------------------------------------------------------------------