%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN077+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 : n026.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 05:36:04 PM UTC 2026
% Result : Theorem 1.23s 1.71s
% Output : CNFRefutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 23 ( 3 unt; 0 def)
% Number of atoms : 78 ( 6 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 100 ( 45 ~; 41 |; 9 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 51 ( 0 sgn 13 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel54,conjecture,
~ ? [X4] :
! [X3] :
( big_f(X3,X4)
<=> ! [X5] :
( big_f(X3,X5)
=> ? [X1] :
( big_f(X1,X5)
& ~ ? [X2] :
( big_f(X2,X5)
& big_f(X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel54) ).
fof(pel54_1,axiom,
! [X1] :
? [X2] :
! [X3] :
( big_f(X3,X2)
<=> X3 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel54_1) ).
fof(c_0_2,negated_conjecture,
~ ~ ? [X4] :
! [X3] :
( big_f(X3,X4)
<=> ! [X5] :
( big_f(X3,X5)
=> ? [X1] :
( big_f(X1,X5)
& ~ ? [X2] :
( big_f(X2,X5)
& big_f(X2,X1) ) ) ) ),
inference(assume_negation,[status(cth)],[pel54]) ).
fof(c_0_3,negated_conjecture,
! [X19,X20,X22,X24] :
( ( big_f(esk3_2(X19,X20),X20)
| ~ big_f(X19,X20)
| ~ big_f(X19,esk2_0) )
& ( ~ big_f(X22,X20)
| ~ big_f(X22,esk3_2(X19,X20))
| ~ big_f(X19,X20)
| ~ big_f(X19,esk2_0) )
& ( big_f(X19,esk4_1(X19))
| big_f(X19,esk2_0) )
& ( big_f(esk5_2(X19,X24),esk4_1(X19))
| ~ big_f(X24,esk4_1(X19))
| big_f(X19,esk2_0) )
& ( big_f(esk5_2(X19,X24),X24)
| ~ big_f(X24,esk4_1(X19))
| big_f(X19,esk2_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).
fof(c_0_4,plain,
! [X14,X16,X17] :
( ( ~ big_f(X16,esk1_1(X14))
| X16 = X14 )
& ( X17 != X14
| big_f(X17,esk1_1(X14)) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[pel54_1])])])])]) ).
cnf(c_0_5,negated_conjecture,
( ~ big_f(X1,X2)
| ~ big_f(X1,esk3_2(X3,X2))
| ~ big_f(X3,X2)
| ~ big_f(X3,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
( big_f(esk5_2(X1,X2),X2)
| big_f(X1,esk2_0)
| ~ big_f(X2,esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,plain,
( X1 = X2
| ~ big_f(X1,esk1_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
( big_f(esk3_2(X1,X2),X2)
| ~ big_f(X1,X2)
| ~ big_f(X1,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,negated_conjecture,
( big_f(X1,esk2_0)
| ~ big_f(esk5_2(X1,esk3_2(X2,X3)),X3)
| ~ big_f(esk3_2(X2,X3),esk4_1(X1))
| ~ big_f(X2,esk2_0)
| ~ big_f(X2,X3) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_10,negated_conjecture,
( big_f(esk5_2(X1,X2),esk4_1(X1))
| big_f(X1,esk2_0)
| ~ big_f(X2,esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_11,negated_conjecture,
( esk3_2(X1,esk1_1(X2)) = X2
| ~ big_f(X1,esk1_1(X2))
| ~ big_f(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
( big_f(X1,esk1_1(X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,negated_conjecture,
( big_f(X1,esk2_0)
| ~ big_f(X2,esk4_1(X1))
| ~ big_f(X2,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_8]) ).
cnf(c_0_14,negated_conjecture,
( ~ big_f(X1,esk1_1(X2))
| ~ big_f(X3,esk1_1(X2))
| ~ big_f(X1,esk2_0)
| ~ big_f(X3,X2) ),
inference(spm,[status(thm)],[c_0_5,c_0_11]) ).
cnf(c_0_15,plain,
big_f(X1,esk1_1(X1)),
inference(er,[status(thm)],[c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( big_f(X1,esk2_0)
| ~ big_f(esk5_2(X1,X2),esk2_0)
| ~ big_f(X2,esk4_1(X1)) ),
inference(spm,[status(thm)],[c_0_13,c_0_10]) ).
cnf(c_0_17,negated_conjecture,
( ~ big_f(X1,esk1_1(X2))
| ~ big_f(X2,esk2_0)
| ~ big_f(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
( big_f(X1,esk2_0)
| ~ big_f(esk2_0,esk4_1(X1)) ),
inference(spm,[status(thm)],[c_0_16,c_0_6]) ).
cnf(c_0_19,negated_conjecture,
( big_f(X1,esk4_1(X1))
| big_f(X1,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_20,negated_conjecture,
( ~ big_f(X1,esk2_0)
| ~ big_f(X1,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
big_f(esk2_0,esk2_0),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN077+1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.11 % 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
% 0.15/0.32 % Computer : n026.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 08:12:08 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.23/1.71 % Version : CSE_E---1.7
% 1.23/1.71 % Problem : theBenchmark.p
% 1.23/1.71 % SZS status Theorem for theBenchmark.p
% 1.23/1.71 % SZS output start CNFRefutation
% See solution above
% 1.23/1.71 % Total time : 1.372s
%------------------------------------------------------------------------------