%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN321+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 03:23:39 PM UTC 2026
% Result : Theorem 0.16s 0.51s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 31 ( 10 ~; 8 |; 3 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 37 ( 10 sgn 16 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_3_2,conjecture,
? [X1,X2] :
( ( ? [X3] : big_f(X1,X3)
=> ! [X3] : big_g(X1,X3) )
=> ( ! [X3] :
( big_g(X3,X3)
=> big_f(X3,X2) )
=> ( big_f(X1,X2)
<=> ! [X3] : big_g(X1,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_3_2) ).
fof(c_0_1,negated_conjecture,
~ ? [X1,X2] :
( ( ? [X3] : big_f(X1,X3)
=> ! [X3] : big_g(X1,X3) )
=> ( ! [X3] :
( big_g(X3,X3)
=> big_f(X3,X2) )
=> ( big_f(X1,X2)
<=> ! [X3] : big_g(X1,X3) ) ) ),
inference(assume_negation,[status(cth)],[church_46_3_2]) ).
fof(c_0_2,negated_conjecture,
! [X4,X5,X6,X7,X8,X9,X10,X12,X13,X14] :
( ( big_g(X12,X14)
| big_f(X12,X13) )
& ( ~ big_g(X9,esk1_1(X9))
| ~ big_f(X9,X10) )
& ( big_f(X8,X7)
| ~ big_g(X8,X8) )
& ( big_g(X4,X6)
| ~ big_f(X4,X5) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])]) ).
cnf(c_0_3,negated_conjecture,
( ~ big_g(X1,X1)
| big_f(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( big_g(X1,X3)
| big_f(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( ~ big_g(X1,esk1_1(X1))
| ~ big_f(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
big_f(X1,X2),
inference(csr,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( ~ big_f(X1,X2)
| big_g(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
~ big_g(X1,esk1_1(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]) ).
cnf(c_0_9,negated_conjecture,
big_g(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_6])]) ).
cnf(c_0_10,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN321+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n009.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 10:49:27 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.46 Running first-order theorem proving
% 0.16/0.47 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.16/0.51 % Version: 3.5.1
% 0.16/0.51 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.51 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.51 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.51 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.51 % Starting sh5l with 300s (1) cores
% 0.16/0.51 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 1560476 completed with status 0
% 0.16/0.51 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.16/0.51 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.51 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.51 % No SInE strategy applied
% 0.16/0.51 % Search class: FGHNF-FFSF11-SFFFFFNN
% 0.16/0.51 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.51 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.51 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.16/0.51 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.16/0.51 % Starting new_bool_3 with 136s (1) cores
% 0.16/0.51 % Starting new_bool_1 with 136s (1) cores
% 0.16/0.51 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 1560483 completed with status 0
% 0.16/0.51 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.16/0.51 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.51 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.51 % No SInE strategy applied
% 0.16/0.51 % Search class: FGHNF-FFSF11-SFFFFFNN
% 0.16/0.51 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.51 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.51 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.16/0.51 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.16/0.51 % Preprocessing time : 0.001 s
% 0.16/0.51 % Presaturation interreduction done
% 0.16/0.51
% 0.16/0.51 % Proof found!
% 0.16/0.51 % SZS status Theorem
% 0.16/0.51 % SZS output start CNFRefutation
% See solution above
% 0.16/0.51 % Parsed axioms : 1
% 0.16/0.51 % Removed by relevancy pruning/SinE : 0
% 0.16/0.51 % Initial clauses : 4
% 0.16/0.51 % Removed in clause preprocessing : 0
% 0.16/0.51 % Initial clauses in saturation : 4
% 0.16/0.51 % Processed clauses : 5
% 0.16/0.51 % ...of these trivial : 0
% 0.16/0.51 % ...subsumed : 0
% 0.16/0.51 % ...remaining for further processing : 5
% 0.16/0.51 % Other redundant clauses eliminated : 0
% 0.16/0.51 % Clauses deleted for lack of memory : 0
% 0.16/0.51 % Backward-subsumed : 1
% 0.16/0.51 % Backward-rewritten : 2
% 0.16/0.51 % Generated clauses : 0
% 0.16/0.51 % ...of the previous two non-redundant : 1
% 0.16/0.51 % ...aggressively subsumed : 0
% 0.16/0.51 % Contextual simplify-reflections : 1
% 0.16/0.51 % Paramodulations : 0
% 0.16/0.51 % Factorizations : 0
% 0.16/0.51 % NegExts : 0
% 0.16/0.51 % Equation resolutions : 0
% 0.16/0.51 % Disequality decompositions : 0
% 0.16/0.51 % Total rewrite steps : 3
% 0.16/0.51 % ...of those cached : 0
% 0.16/0.51 % Propositional unsat checks : 0
% 0.16/0.51 % Propositional check models : 0
% 0.16/0.51 % Propositional check unsatisfiable : 0
% 0.16/0.51 % Propositional clauses : 0
% 0.16/0.51 % Propositional clauses after purity: 0
% 0.16/0.51 % Propositional unsat core size : 0
% 0.16/0.51 % Propositional preprocessing time : 0.000
% 0.16/0.51 % Propositional encoding time : 0.000
% 0.16/0.51 % Propositional solver time : 0.000
% 0.16/0.51 % Success case prop preproc time : 0.000
% 0.16/0.51 % Success case prop encoding time : 0.000
% 0.16/0.51 % Success case prop solver time : 0.000
% 0.16/0.51 % Current number of processed clauses : 2
% 0.16/0.51 % Positive orientable unit clauses : 2
% 0.16/0.51 % Positive unorientable unit clauses: 0
% 0.16/0.51 % Negative unit clauses : 0
% 0.16/0.51 % Non-unit-clauses : 0
% 0.16/0.51 % Current number of unprocessed clauses: 0
% 0.16/0.51 % ...number of literals in the above : 0
% 0.16/0.51 % Current number of archived formulas : 0
% 0.16/0.51 % Current number of archived clauses : 3
% 0.16/0.51 % Clause-clause subsumption calls (NU) : 1
% 0.16/0.51 % Rec. Clause-clause subsumption calls : 1
% 0.16/0.51 % Non-unit clause-clause subsumptions : 1
% 0.16/0.51 % Unit Clause-clause subsumption calls : 1
% 0.16/0.51 % Rewrite failures with RHS unbound : 0
% 0.16/0.51 % BW rewrite match attempts : 3
% 0.16/0.51 % BW rewrite match successes : 3
% 0.16/0.51 % Condensation attempts : 0
% 0.16/0.51 % Condensation successes : 0
% 0.16/0.51 % Termbank termtop insertions : 393
% 0.16/0.51 % Search garbage collected termcells : 151
% 0.16/0.51
% 0.16/0.51 % -------------------------------------------------
% 0.16/0.51 % User time : 0.005 s
% 0.16/0.51 % System time : 0.004 s
% 0.16/0.51 % Total time : 0.008 s
% 0.16/0.51 % Maximum resident set size: 3372 pages
% 0.16/0.51
% 0.16/0.51 % -------------------------------------------------
% 0.16/0.51 % User time : 0.013 s
% 0.16/0.51 % System time : 0.015 s
% 0.16/0.51 % Total time : 0.029 s
% 0.16/0.51 % Maximum resident set size: 4608 pages
% 0.16/0.52 % E exiting
%------------------------------------------------------------------------------