%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN935+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 03:30:45 PM UTC 2026
% Result : Theorem 0.15s 0.63s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 38 ( 14 ~; 14 |; 4 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 9 ( 3 sgn 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
( ? [X1] :
( p(X1)
=> c )
<=> ( ! [X1] : p(X1)
=> c ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(c_0_1,negated_conjecture,
~ ( ? [X1] :
( p(X1)
=> c )
<=> ( ! [X1] : p(X1)
=> c ) ),
inference(assume_negation,[status(cth)],[prove_this]) ).
fof(c_0_2,negated_conjecture,
! [X2,X3] :
( ( c
| ~ p(esk2_0)
| c
| ~ p(esk1_0) )
& ( ~ c
| ~ c )
& ( ~ c
| p(X3) )
& ( p(X2)
| ~ c )
& ( p(X2)
| p(X3) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[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,
( ~ p(esk2_0)
| ~ p(esk1_0)
| c
| c ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( p(X2)
| p(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( ~ c
| ~ c ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( ~ p(esk2_0)
| ~ p(esk1_0)
| c ),
inference(cn,[status(thm)],[c_0_3]) ).
cnf(c_0_7,negated_conjecture,
p(X1),
inference(ef,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
~ c,
inference(cn,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_7])]),c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN935+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.57 % Computer : n008.cluster.edu
% 0.11/0.57 % Model : x86_64 x86_64
% 0.11/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.57 % Memory : 8046.5625MB
% 0.11/0.57 % OS : Linux 6.8.0-71-generic
% 0.11/0.57 % CPULimit : 300
% 0.11/0.57 % WCLimit : 300
% 0.11/0.57 % DateTime : Mon Sep 21 11:31:10 UTC 2026
% 0.11/0.58 % CPUTime :
% 0.11/0.58 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.62 Running first-order theorem proving
% 0.11/0.62 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
% 0.15/0.63 % Version: 3.5.1
% 0.15/0.63 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.63 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.63 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.63 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.63 % Starting sh5l with 300s (1) cores
% 0.15/0.63 % new_bool_3 with pid 866970 completed with status 0
% 0.15/0.63 % Result found by new_bool_3
% 0.15/0.63 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.63 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.63 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.63 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.63 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.63 % Search class: FGUNF-FFSF00-SFFFFFNN
% 0.15/0.63 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.63 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.63 % SubtermCWHack with pid 866973 completed with status 0
% 0.15/0.63 % Result found by SubtermCWHack
% 0.15/0.63 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.63 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.63 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.63 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.63 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.63 % Search class: FGUNF-FFSF00-SFFFFFNN
% 0.15/0.63 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.63 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.63 % Preprocessing time : 0.001 s
% 0.15/0.63
% 0.15/0.63 % Proof found!
% 0.15/0.63 % SZS status Theorem
% 0.15/0.63 % SZS output start CNFRefutation
% See solution above
% 0.15/0.63 % Parsed axioms : 1
% 0.15/0.63 % Removed by relevancy pruning/SinE : 0
% 0.15/0.63 % Initial clauses : 5
% 0.15/0.63 % Removed in clause preprocessing : 0
% 0.15/0.63 % Initial clauses in saturation : 5
% 0.15/0.63 % Processed clauses : 6
% 0.15/0.63 % ...of these trivial : 0
% 0.15/0.63 % ...subsumed : 2
% 0.15/0.63 % ...remaining for further processing : 3
% 0.15/0.63 % Other redundant clauses eliminated : 0
% 0.15/0.63 % Clauses deleted for lack of memory : 0
% 0.15/0.63 % Backward-subsumed : 1
% 0.15/0.63 % Backward-rewritten : 0
% 0.15/0.63 % Generated clauses : 2
% 0.15/0.63 % ...of the previous two non-redundant : 2
% 0.15/0.63 % ...aggressively subsumed : 0
% 0.15/0.63 % Contextual simplify-reflections : 0
% 0.15/0.63 % Paramodulations : 0
% 0.15/0.63 % Factorizations : 2
% 0.15/0.63 % NegExts : 0
% 0.15/0.63 % Equation resolutions : 0
% 0.15/0.63 % Disequality decompositions : 0
% 0.15/0.63 % Total rewrite steps : 2
% 0.15/0.63 % ...of those cached : 0
% 0.15/0.63 % Propositional unsat checks : 0
% 0.15/0.63 % Propositional check models : 0
% 0.15/0.63 % Propositional check unsatisfiable : 0
% 0.15/0.63 % Propositional clauses : 0
% 0.15/0.63 % Propositional clauses after purity: 0
% 0.15/0.63 % Propositional unsat core size : 0
% 0.15/0.63 % Propositional preprocessing time : 0.000
% 0.15/0.63 % Propositional encoding time : 0.000
% 0.15/0.63 % Propositional solver time : 0.000
% 0.15/0.63 % Success case prop preproc time : 0.000
% 0.15/0.63 % Success case prop encoding time : 0.000
% 0.15/0.63 % Success case prop solver time : 0.000
% 0.15/0.63 % Current number of processed clauses : 2
% 0.15/0.63 % Positive orientable unit clauses : 1
% 0.15/0.63 % Positive unorientable unit clauses: 0
% 0.15/0.63 % Negative unit clauses : 1
% 0.15/0.63 % Non-unit-clauses : 0
% 0.15/0.63 % Current number of unprocessed clauses: 0
% 0.15/0.63 % ...number of literals in the above : 0
% 0.15/0.63 % Current number of archived formulas : 0
% 0.15/0.63 % Current number of archived clauses : 1
% 0.15/0.63 % Clause-clause subsumption calls (NU) : 0
% 0.15/0.63 % Rec. Clause-clause subsumption calls : 0
% 0.15/0.63 % Non-unit clause-clause subsumptions : 0
% 0.15/0.63 % Unit Clause-clause subsumption calls : 1
% 0.15/0.63 % Rewrite failures with RHS unbound : 0
% 0.15/0.63 % BW rewrite match attempts : 2
% 0.15/0.63 % BW rewrite match successes : 2
% 0.15/0.63 % Condensation attempts : 0
% 0.15/0.63 % Condensation successes : 0
% 0.15/0.63 % Termbank termtop insertions : 300
% 0.15/0.63 % Search garbage collected termcells : 86
% 0.15/0.63
% 0.15/0.63 % -------------------------------------------------
% 0.15/0.63 % User time : 0.000 s
% 0.15/0.63 % System time : 0.003 s
% 0.15/0.63 % Total time : 0.003 s
% 0.15/0.63 % Maximum resident set size: 3624 pages
% 0.15/0.63
% 0.15/0.63 % -------------------------------------------------
% 0.15/0.63 % User time : 0.001 s
% 0.15/0.63 % System time : 0.008 s
% 0.15/0.63 % Total time : 0.009 s
% 0.15/0.63 % Maximum resident set size: 4864 pages
% 0.15/0.63 % E exiting
%------------------------------------------------------------------------------