%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYN334+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:33:06 PM UTC 2026
% Result : Theorem 0.28s 0.58s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 19 ( 2 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 73 ( 25 ~; 28 |; 6 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 38 ( 2 sgn 4 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_14_6,conjecture,
? [X1,X2] :
! [X3] :
( ( big_f(X1,X2)
=> ( big_f(X1,X3)
<=> big_g(X2,X3) ) )
=> ( ( big_f(X1,X2)
<=> ( big_f(X3,X3)
=> big_g(X3,X3) ) )
=> ( big_g(X1,X2)
<=> big_g(X3,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_14_6) ).
fof(c_0_1,negated_conjecture,
~ ? [X1,X2] :
! [X3] :
( ( big_f(X1,X2)
=> ( big_f(X1,X3)
<=> big_g(X2,X3) ) )
=> ( ( big_f(X1,X2)
<=> ( big_f(X3,X3)
=> big_g(X3,X3) ) )
=> ( big_g(X1,X2)
<=> big_g(X3,X3) ) ) ),
inference(assume_negation,[status(cth)],[church_46_14_6]) ).
fof(c_0_2,negated_conjecture,
! [X4,X5] :
( ( big_g(esk1_2(X4,X5),esk1_2(X4,X5))
| big_g(X4,X5) )
& ( ~ big_g(esk1_2(X4,X5),esk1_2(X4,X5))
| ~ big_g(X4,X5) )
& ( big_f(X4,X5)
| ~ big_g(esk1_2(X4,X5),esk1_2(X4,X5)) )
& ( big_f(X4,X5)
| big_f(esk1_2(X4,X5),esk1_2(X4,X5)) )
& ( big_g(esk1_2(X4,X5),esk1_2(X4,X5))
| ~ big_f(esk1_2(X4,X5),esk1_2(X4,X5))
| ~ big_f(X4,X5) )
& ( ~ big_f(X4,X5)
| big_f(X4,esk1_2(X4,X5))
| ~ big_g(X5,esk1_2(X4,X5)) )
& ( ~ big_f(X4,X5)
| big_g(X5,esk1_2(X4,X5))
| ~ big_f(X4,esk1_2(X4,X5)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_g(esk1_2(X1,X2),esk1_2(X1,X2))
| big_f(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( big_g(esk1_2(X1,X2),esk1_2(X1,X2))
| big_g(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( ~ big_f(X2,X1)
| ~ big_g(X1,esk1_2(X2,X1))
| big_f(X2,esk1_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( big_f(X1,X2)
| big_g(X1,X2) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( ~ big_f(esk1_2(X1,X2),esk1_2(X1,X2))
| ~ big_f(X1,X2)
| big_g(esk1_2(X1,X2),esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
( ~ big_f(X2,X1)
| big_f(X2,esk1_2(X2,X1))
| big_f(X1,esk1_2(X2,X1)) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,negated_conjecture,
( big_f(X1,X2)
| big_f(esk1_2(X1,X2),esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10,negated_conjecture,
( ~ big_g(esk1_2(X1,X2),esk1_2(X1,X2))
| ~ big_g(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_11,negated_conjecture,
( ~ big_f(X1,X2)
| big_g(esk1_2(X1,X2),esk1_2(X1,X2)) ),
inference(csr,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( ~ big_f(X1,X2)
| ~ big_f(X1,esk1_2(X1,X2))
| big_g(X2,esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13,negated_conjecture,
( big_f(X1,X2)
| big_f(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2))) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,negated_conjecture,
( ~ big_f(X1,X2)
| ~ big_g(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( big_f(X1,X2)
| big_g(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_9]) ).
cnf(c_0_16,negated_conjecture,
( ~ big_f(X1,X2)
| ~ big_f(esk1_2(X1,X2),esk1_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_14,c_0_11]) ).
cnf(c_0_17,negated_conjecture,
big_f(X1,X2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_13]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN334+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.45 % Computer : n010.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 10:50:10 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.28/0.53 Running first-order theorem proving
% 0.28/0.53 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.28/0.58 % Version: 3.5.1
% 0.28/0.58 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.28/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.58 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.28/0.58 % Starting new_bool_3 with 300s (1) cores
% 0.28/0.58 % Starting new_bool_1 with 300s (1) cores
% 0.28/0.58 % Starting sh5l with 300s (1) cores
% 0.28/0.58 % new_bool_3 with pid 712429 completed with status 0
% 0.28/0.58 % Result found by new_bool_3
% 0.28/0.58 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.28/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.58 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.28/0.58 % Starting new_bool_3 with 300s (1) cores
% 0.28/0.58 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.28/0.58 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.28/0.58 % Search class: FGHNF-FFSF22-SFFFFFNN
% 0.28/0.58 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.28/0.58 % Starting SubtermCWHack with 31s (1) cores
% 0.28/0.58 % SubtermCWHack with pid 712434 completed with status 0
% 0.28/0.58 % Result found by SubtermCWHack
% 0.28/0.58 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.28/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.58 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.28/0.58 % Starting new_bool_3 with 300s (1) cores
% 0.28/0.58 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.28/0.58 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.28/0.58 % Search class: FGHNF-FFSF22-SFFFFFNN
% 0.28/0.58 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.28/0.58 % Starting SubtermCWHack with 31s (1) cores
% 0.28/0.58 % Preprocessing time : 0.002 s
% 0.28/0.58
% 0.28/0.58 % Proof found!
% 0.28/0.58 % SZS status Theorem
% 0.28/0.58 % SZS output start CNFRefutation
% See solution above
% 0.28/0.58 % Parsed axioms : 1
% 0.28/0.58 % Removed by relevancy pruning/SinE : 0
% 0.28/0.58 % Initial clauses : 7
% 0.28/0.58 % Removed in clause preprocessing : 0
% 0.28/0.58 % Initial clauses in saturation : 7
% 0.28/0.58 % Processed clauses : 20
% 0.28/0.58 % ...of these trivial : 0
% 0.28/0.58 % ...subsumed : 3
% 0.28/0.58 % ...remaining for further processing : 17
% 0.28/0.58 % Other redundant clauses eliminated : 0
% 0.28/0.58 % Clauses deleted for lack of memory : 0
% 0.28/0.58 % Backward-subsumed : 0
% 0.28/0.58 % Backward-rewritten : 14
% 0.28/0.58 % Generated clauses : 22
% 0.28/0.58 % ...of the previous two non-redundant : 20
% 0.28/0.58 % ...aggressively subsumed : 0
% 0.28/0.58 % Contextual simplify-reflections : 3
% 0.28/0.58 % Paramodulations : 22
% 0.28/0.58 % Factorizations : 0
% 0.28/0.58 % NegExts : 0
% 0.28/0.58 % Equation resolutions : 0
% 0.28/0.58 % Disequality decompositions : 0
% 0.28/0.58 % Total rewrite steps : 17
% 0.28/0.58 % ...of those cached : 10
% 0.28/0.58 % Propositional unsat checks : 0
% 0.28/0.58 % Propositional check models : 0
% 0.28/0.58 % Propositional check unsatisfiable : 0
% 0.28/0.58 % Propositional clauses : 0
% 0.28/0.58 % Propositional clauses after purity: 0
% 0.28/0.58 % Propositional unsat core size : 0
% 0.28/0.58 % Propositional preprocessing time : 0.000
% 0.28/0.58 % Propositional encoding time : 0.000
% 0.28/0.58 % Propositional solver time : 0.000
% 0.28/0.58 % Success case prop preproc time : 0.000
% 0.28/0.58 % Success case prop encoding time : 0.000
% 0.28/0.58 % Success case prop solver time : 0.000
% 0.28/0.58 % Current number of processed clauses : 3
% 0.28/0.58 % Positive orientable unit clauses : 1
% 0.28/0.58 % Positive unorientable unit clauses: 0
% 0.28/0.58 % Negative unit clauses : 0
% 0.28/0.58 % Non-unit-clauses : 2
% 0.28/0.58 % Current number of unprocessed clauses: 4
% 0.28/0.58 % ...number of literals in the above : 12
% 0.28/0.58 % Current number of archived formulas : 0
% 0.28/0.58 % Current number of archived clauses : 14
% 0.28/0.58 % Clause-clause subsumption calls (NU) : 27
% 0.28/0.58 % Rec. Clause-clause subsumption calls : 26
% 0.28/0.59 % Non-unit clause-clause subsumptions : 6
% 0.28/0.59 % Unit Clause-clause subsumption calls : 0
% 0.28/0.59 % Rewrite failures with RHS unbound : 0
% 0.28/0.59 % BW rewrite match attempts : 7
% 0.28/0.59 % BW rewrite match successes : 7
% 0.28/0.59 % Condensation attempts : 0
% 0.28/0.59 % Condensation successes : 0
% 0.28/0.59 % Termbank termtop insertions : 931
% 0.28/0.59 % Search garbage collected termcells : 173
% 0.28/0.59
% 0.28/0.59 % -------------------------------------------------
% 0.28/0.59 % User time : 0.005 s
% 0.28/0.59 % System time : 0.003 s
% 0.28/0.59 % Total time : 0.007 s
% 0.28/0.59 % Maximum resident set size: 3628 pages
% 0.28/0.59
% 0.28/0.59 % -------------------------------------------------
% 0.28/0.59 % User time : 0.006 s
% 0.28/0.59 % System time : 0.010 s
% 0.28/0.59 % Total time : 0.015 s
% 0.28/0.59 % Maximum resident set size: 4864 pages
% 0.28/0.59 % E exiting
%------------------------------------------------------------------------------