%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYO501_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 03:50:54 PM UTC 2026
% Result : Theorem 0.15s 0.63s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO501_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.57 % Computer : n018.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 11:55:30 UTC 2026
% 0.11/0.58 % CPUTime :
% 0.11/0.58 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.62 Running first-order theorem proving
% 0.11/0.62 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
% 0.15/0.63 % 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 1823974 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: FGHNF-FFSF22-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 1823978 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: FGHNF-FFSF22-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
% 0.15/0.63 tff(decl_23, type, x: $i).
% 0.15/0.63 tff(decl_24, type, y: $o).
% 0.15/0.63 tff(decl_25, type, f: ($i * $o) > $i).
% 0.15/0.63 tff(decl_26, type, p: $i > $o).
% 0.15/0.63 fof(claim, conjecture, (~(p(f(x,~(~(y)))))|p(f(x,y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', claim)).
% 0.15/0.63 fof(c_0_1, negated_conjecture, ~((~(p(f(x,~(~(y)))))|p(f(x,y)))), inference(assume_negation,[status(cth)],[claim])).
% 0.15/0.63 fof(c_0_2, negated_conjecture, ~((~(((~y|p(f(x,$true)))&(y|p(f(x,$false)))))|((~y|p(f(x,$true)))&(y|p(f(x,$false)))))), inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[c_0_1])])).
% 0.15/0.63 fof(c_0_3, negated_conjecture, (((~y|p(f(x,$true)))&(y|p(f(x,$false))))&(((~y|y)&(~p(f(x,$false))|y))&((~y|~p(f(x,$true)))&(~p(f(x,$false))|~p(f(x,$true)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])).
% 0.15/0.63 cnf(c_0_4, negated_conjecture, (y|~p(f(x,$false))), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.15/0.63 cnf(c_0_5, negated_conjecture, (y|p(f(x,$false))), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.15/0.63 cnf(c_0_6, negated_conjecture, (p(f(x,$true))|~y), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.15/0.63 cnf(c_0_7, negated_conjecture, (y), inference(csr,[status(thm)],[c_0_4, c_0_5])).
% 0.15/0.63 cnf(c_0_8, negated_conjecture, (~y|~p(f(x,$true))), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.15/0.63 cnf(c_0_9, negated_conjecture, (p(f(x,$true))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6, c_0_7])])).
% 0.15/0.63 cnf(c_0_10, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8, c_0_7]), c_0_9])]), ['proof']).
% 0.15/0.63 % SZS output end CNFRefutation
% 0.15/0.63 % Parsed axioms : 5
% 0.15/0.63 % Removed by relevancy pruning/SinE : 4
% 0.15/0.63 % Initial clauses : 6
% 0.15/0.63 % Removed in clause preprocessing : 1
% 0.15/0.63 % Initial clauses in saturation : 5
% 0.15/0.63 % Processed clauses : 5
% 0.15/0.63 % ...of these trivial : 0
% 0.15/0.63 % ...subsumed : 0
% 0.15/0.63 % ...remaining for further processing : 4
% 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 : 0
% 0.15/0.63 % Backward-rewritten : 2
% 0.15/0.63 % Generated clauses : 0
% 0.15/0.63 % ...of the previous two non-redundant : 1
% 0.15/0.63 % ...aggressively subsumed : 0
% 0.15/0.63 % Contextual simplify-reflections : 1
% 0.15/0.63 % Paramodulations : 0
% 0.15/0.63 % Factorizations : 0
% 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 : 4
% 0.15/0.63 % ...of those cached : 2
% 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 : 2
% 0.15/0.63 % Positive unorientable unit clauses: 0
% 0.15/0.63 % Negative unit clauses : 0
% 0.15/0.63 % Non-unit-clauses : 0
% 0.15/0.63 % Current number of unprocessed clauses: 1
% 0.15/0.64 % ...number of literals in the above : 2
% 0.15/0.64 % Current number of archived formulas : 0
% 0.15/0.64 % Current number of archived clauses : 2
% 0.15/0.64 % Clause-clause subsumption calls (NU) : 1
% 0.15/0.64 % Rec. Clause-clause subsumption calls : 1
% 0.15/0.64 % Non-unit clause-clause subsumptions : 1
% 0.15/0.64 % Unit Clause-clause subsumption calls : 0
% 0.15/0.64 % Rewrite failures with RHS unbound : 0
% 0.15/0.64 % BW rewrite match attempts : 1
% 0.15/0.64 % BW rewrite match successes : 1
% 0.15/0.64 % Condensation attempts : 0
% 0.15/0.64 % Condensation successes : 0
% 0.15/0.64 % Termbank termtop insertions : 272
% 0.15/0.64 % Search garbage collected termcells : 31
% 0.15/0.64
% 0.15/0.64 % -------------------------------------------------
% 0.15/0.64 % User time : 0.001 s
% 0.15/0.64 % System time : 0.004 s
% 0.15/0.64 % Total time : 0.005 s
% 0.15/0.64 % Maximum resident set size: 3572 pages
% 0.15/0.64
% 0.15/0.64 % -------------------------------------------------
% 0.15/0.64 % User time : 0.002 s
% 0.15/0.64 % System time : 0.007 s
% 0.15/0.64 % Total time : 0.009 s
% 0.15/0.64 % Maximum resident set size: 4608 pages
% 0.15/0.64 % E exiting
%------------------------------------------------------------------------------