%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN364+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 : n005.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 03:23:51 PM UTC 2026
% Result : Theorem 0.10s 0.43s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 56 ( 17 ~; 14 |; 16 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 43 ( 7 sgn 21 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2115,conjecture,
( ( ! [X6] :
( big_q(X6)
=> ~ big_m(g(X6)) )
& ! [X4] :
? [X5] :
( ( big_q(f(X4,X5))
& big_m(X4) )
| big_p(X4,X5) )
& ! [X1] :
( ? [X2] : big_p(X1,X2)
=> ! [X3] : big_p(X3,X3) ) )
=> ! [X4] :
? [X5] :
( big_p(X4,X4)
& big_p(g(X4),X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2115) ).
fof(c_0_1,negated_conjecture,
~ ( ( ! [X6] :
( big_q(X6)
=> ~ big_m(g(X6)) )
& ! [X4] :
? [X5] :
( ( big_q(f(X4,X5))
& big_m(X4) )
| big_p(X4,X5) )
& ! [X1] :
( ? [X2] : big_p(X1,X2)
=> ! [X3] : big_p(X3,X3) ) )
=> ! [X4] :
? [X5] :
( big_p(X4,X4)
& big_p(g(X4),X5) ) ),
inference(assume_negation,[status(cth)],[x2115]) ).
fof(c_0_2,negated_conjecture,
~ ( ( ! [X6] :
( big_q(X6)
=> ~ big_m(g(X6)) )
& ! [X4] :
? [X5] :
( ( big_q(f(X4,X5))
& big_m(X4) )
| big_p(X4,X5) )
& ! [X1] :
( ? [X2] : big_p(X1,X2)
=> ! [X3] : big_p(X3,X3) ) )
=> ! [X4] :
? [X5] :
( big_p(X4,X4)
& big_p(g(X4),X5) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_3,negated_conjecture,
! [X7,X8,X9,X10,X13,X15] :
( ( ~ big_p(esk3_0,esk3_0)
| ~ big_p(g(esk3_0),X15) )
& ( ~ big_m(g(X13))
| ~ big_q(X13) )
& ( big_p(X10,esk1_1(X10))
| big_q(f(X10,esk2_1(X10))) )
& ( big_p(X10,esk1_1(X10))
| big_m(X10) )
& ( big_p(X9,X9)
| ~ big_p(X7,X8) ) ),
inference(distribute,[status(thm)],[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_2])])])])])])]) ).
cnf(c_0_4,negated_conjecture,
( ~ big_p(esk3_0,esk3_0)
| ~ big_p(g(esk3_0),X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,negated_conjecture,
( ~ big_p(X1,X2)
| big_p(X3,X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
( big_p(X1,esk1_1(X1))
| big_m(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,negated_conjecture,
~ big_p(g(esk3_0),X1),
inference(csr,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_8,negated_conjecture,
( big_p(X2,X2)
| big_m(X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,negated_conjecture,
( ~ big_m(g(X1))
| ~ big_q(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_10,negated_conjecture,
big_m(X1),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( big_p(X1,esk1_1(X1))
| big_q(f(X1,esk2_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_12,negated_conjecture,
~ big_q(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).
cnf(c_0_13,negated_conjecture,
big_p(X1,esk1_1(X1)),
inference(sr,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_7,c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN364+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 10:51:48 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.43 % Version: 3.5.1
% 0.10/0.43 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.10/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.43 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.10/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.43 % Starting sh5l with 300s (1) cores
% 0.10/0.43 % new_bool_3 with pid 3283576 completed with status 0
% 0.10/0.43 % Result found by new_bool_3
% 0.10/0.43 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.10/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.43 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.10/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.10/0.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.10/0.43 % Search class: FGHNF-FFSF21-SFFFFFNN
% 0.10/0.43 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.43 % Starting SubtermCWHack with 31s (1) cores
% 0.10/0.43 % SubtermCWHack with pid 3283579 completed with status 0
% 0.10/0.43 % Result found by SubtermCWHack
% 0.10/0.43 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.10/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.43 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.10/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.10/0.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.10/0.43 % Search class: FGHNF-FFSF21-SFFFFFNN
% 0.10/0.43 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.43 % Starting SubtermCWHack with 31s (1) cores
% 0.10/0.43 % Preprocessing time : 0.001 s
% 0.10/0.43
% 0.10/0.43 % Proof found!
% 0.10/0.43 % SZS status Theorem
% 0.10/0.43 % SZS output start CNFRefutation
% See solution above
% 0.10/0.43 % Parsed axioms : 1
% 0.10/0.43 % Removed by relevancy pruning/SinE : 0
% 0.10/0.43 % Initial clauses : 5
% 0.10/0.43 % Removed in clause preprocessing : 0
% 0.10/0.43 % Initial clauses in saturation : 5
% 0.10/0.43 % Processed clauses : 10
% 0.10/0.43 % ...of these trivial : 0
% 0.10/0.43 % ...subsumed : 1
% 0.10/0.43 % ...remaining for further processing : 9
% 0.10/0.43 % Other redundant clauses eliminated : 0
% 0.10/0.43 % Clauses deleted for lack of memory : 0
% 0.10/0.43 % Backward-subsumed : 2
% 0.10/0.43 % Backward-rewritten : 2
% 0.10/0.43 % Generated clauses : 7
% 0.10/0.43 % ...of the previous two non-redundant : 6
% 0.10/0.43 % ...aggressively subsumed : 0
% 0.10/0.43 % Contextual simplify-reflections : 1
% 0.10/0.43 % Paramodulations : 7
% 0.10/0.43 % Factorizations : 0
% 0.10/0.43 % NegExts : 0
% 0.10/0.43 % Equation resolutions : 0
% 0.10/0.43 % Disequality decompositions : 0
% 0.10/0.43 % Total rewrite steps : 2
% 0.10/0.43 % ...of those cached : 0
% 0.10/0.43 % Propositional unsat checks : 0
% 0.10/0.43 % Propositional check models : 0
% 0.10/0.43 % Propositional check unsatisfiable : 0
% 0.10/0.43 % Propositional clauses : 0
% 0.10/0.43 % Propositional clauses after purity: 0
% 0.10/0.43 % Propositional unsat core size : 0
% 0.10/0.43 % Propositional preprocessing time : 0.000
% 0.10/0.43 % Propositional encoding time : 0.000
% 0.10/0.43 % Propositional solver time : 0.000
% 0.10/0.43 % Success case prop preproc time : 0.000
% 0.10/0.43 % Success case prop encoding time : 0.000
% 0.10/0.43 % Success case prop solver time : 0.000
% 0.10/0.43 % Current number of processed clauses : 5
% 0.10/0.43 % Positive orientable unit clauses : 2
% 0.10/0.43 % Positive unorientable unit clauses: 0
% 0.10/0.43 % Negative unit clauses : 2
% 0.10/0.43 % Non-unit-clauses : 1
% 0.10/0.43 % Current number of unprocessed clauses: 0
% 0.10/0.43 % ...number of literals in the above : 0
% 0.10/0.43 % Current number of archived formulas : 0
% 0.10/0.43 % Current number of archived clauses : 4
% 0.10/0.43 % Clause-clause subsumption calls (NU) : 3
% 0.10/0.43 % Rec. Clause-clause subsumption calls : 3
% 0.10/0.43 % Non-unit clause-clause subsumptions : 2
% 0.10/0.43 % Unit Clause-clause subsumption calls : 2
% 0.10/0.43 % Rewrite failures with RHS unbound : 0
% 0.10/0.43 % BW rewrite match attempts : 2
% 0.10/0.43 % BW rewrite match successes : 2
% 0.10/0.43 % Condensation attempts : 0
% 0.10/0.43 % Condensation successes : 0
% 0.10/0.43 % Termbank termtop insertions : 525
% 0.10/0.43 % Search garbage collected termcells : 181
% 0.10/0.43
% 0.10/0.43 % -------------------------------------------------
% 0.10/0.43 % User time : 0.003 s
% 0.10/0.43 % System time : 0.002 s
% 0.10/0.43 % Total time : 0.004 s
% 0.10/0.43 % Maximum resident set size: 3632 pages
% 0.10/0.43
% 0.10/0.43 % -------------------------------------------------
% 0.10/0.43 % User time : 0.004 s
% 0.10/0.43 % System time : 0.006 s
% 0.10/0.43 % Total time : 0.010 s
% 0.10/0.43 % Maximum resident set size: 4608 pages
% 0.10/0.43 % E exiting
%------------------------------------------------------------------------------