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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYO501_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n026.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 03:47:16 PM UTC 2026

% Result   : Theorem 0.11s 0.43s
% Output   : CNFRefutation 0.11s
% 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/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n026.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 21 11:56:09 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  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
% 0.11/0.43  % Version: 3.5.1
% 0.11/0.43  % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.11/0.43  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.43  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.11/0.43  % Starting new_bool_3 with 300s (1) cores
% 0.11/0.43  % Starting new_bool_1 with 300s (1) cores
% 0.11/0.43  % Starting sh5l with 300s (1) cores
% 0.11/0.43  % new_bool_3 with pid 2211154 completed with status 0
% 0.11/0.43  % Result found by new_bool_3
% 0.11/0.43  % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.11/0.43  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.43  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.11/0.43  % Starting new_bool_3 with 300s (1) cores
% 0.11/0.43  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/0.43  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.43  % Search class: FGHNF-FFSF22-SFFFFFNN
% 0.11/0.43  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.43  % Starting SubtermCWHack with 31s (1) cores
% 0.11/0.43  % SubtermCWHack with pid 2211157 completed with status 0
% 0.11/0.43  % Result found by SubtermCWHack
% 0.11/0.43  % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.11/0.43  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.43  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.11/0.43  % Starting new_bool_3 with 300s (1) cores
% 0.11/0.43  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/0.43  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.43  % Search class: FGHNF-FFSF22-SFFFFFNN
% 0.11/0.43  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.43  % Starting SubtermCWHack with 31s (1) cores
% 0.11/0.43  % Preprocessing time       : 0.001 s
% 0.11/0.43  
% 0.11/0.43  % Proof found!
% 0.11/0.43  % SZS status Theorem
% 0.11/0.43  % SZS output start CNFRefutation
% 0.11/0.43  tff(decl_23, type, x: $i).
% 0.11/0.43  tff(decl_24, type, y: $o).
% 0.11/0.43  tff(decl_25, type, f: ($i * $o) > $i).
% 0.11/0.43  tff(decl_26, type, p: $i > $o).
% 0.11/0.43  fof(claim, conjecture, (~(p(f(x,~(~(y)))))|p(f(x,y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', claim)).
% 0.11/0.43  fof(c_0_1, negated_conjecture, ~((~(p(f(x,~(~(y)))))|p(f(x,y)))), inference(assume_negation,[status(cth)],[claim])).
% 0.11/0.43  fof(c_0_2, negated_conjecture, ~((~(((~y|p(f(x,$true)))&(y|p(f(x,$false)))))|((~y|p(f(x,$true)))&(y|p(f(x,$false)))))), inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[c_0_1])])).
% 0.11/0.43  fof(c_0_3, negated_conjecture, (((~y|p(f(x,$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,$true)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])).
% 0.11/0.43  cnf(c_0_4, negated_conjecture, (y|~p(f(x,$false))), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.11/0.43  cnf(c_0_5, negated_conjecture, (y|p(f(x,$false))), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.11/0.43  cnf(c_0_6, negated_conjecture, (p(f(x,$true))|~y), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.11/0.43  cnf(c_0_7, negated_conjecture, (y), inference(csr,[status(thm)],[c_0_4, c_0_5])).
% 0.11/0.43  cnf(c_0_8, negated_conjecture, (~y|~p(f(x,$true))), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.11/0.43  cnf(c_0_9, negated_conjecture, (p(f(x,$true))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6, c_0_7])])).
% 0.11/0.43  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']).
% 0.11/0.43  % SZS output end CNFRefutation
% 0.11/0.43  % Parsed axioms                        : 5
% 0.11/0.43  % Removed by relevancy pruning/SinE    : 4
% 0.11/0.43  % Initial clauses                      : 6
% 0.11/0.43  % Removed in clause preprocessing      : 1
% 0.11/0.43  % Initial clauses in saturation        : 5
% 0.11/0.43  % Processed clauses                    : 5
% 0.11/0.43  % ...of these trivial                  : 0
% 0.11/0.43  % ...subsumed                          : 0
% 0.11/0.43  % ...remaining for further processing  : 4
% 0.11/0.43  % Other redundant clauses eliminated   : 0
% 0.11/0.43  % Clauses deleted for lack of memory   : 0
% 0.11/0.43  % Backward-subsumed                    : 0
% 0.11/0.43  % Backward-rewritten                   : 2
% 0.11/0.43  % Generated clauses                    : 0
% 0.11/0.43  % ...of the previous two non-redundant : 1
% 0.11/0.43  % ...aggressively subsumed             : 0
% 0.11/0.43  % Contextual simplify-reflections      : 1
% 0.11/0.43  % Paramodulations                      : 0
% 0.11/0.43  % Factorizations                       : 0
% 0.11/0.43  % NegExts                              : 0
% 0.11/0.43  % Equation resolutions                 : 0
% 0.11/0.43  % Disequality decompositions           : 0
% 0.11/0.43  % Total rewrite steps                  : 4
% 0.11/0.43  % ...of those cached                   : 2
% 0.11/0.43  % Propositional unsat checks           : 0
% 0.11/0.43  %    Propositional check models        : 0
% 0.11/0.43  %    Propositional check unsatisfiable : 0
% 0.11/0.43  %    Propositional clauses             : 0
% 0.11/0.43  %    Propositional clauses after purity: 0
% 0.11/0.43  %    Propositional unsat core size     : 0
% 0.11/0.43  %    Propositional preprocessing time  : 0.000
% 0.11/0.43  %    Propositional encoding time       : 0.000
% 0.11/0.43  %    Propositional solver time         : 0.000
% 0.11/0.43  %    Success case prop preproc time    : 0.000
% 0.11/0.43  %    Success case prop encoding time   : 0.000
% 0.11/0.43  %    Success case prop solver time     : 0.000
% 0.11/0.43  % Current number of processed clauses  : 2
% 0.11/0.43  %    Positive orientable unit clauses  : 2
% 0.11/0.43  %    Positive unorientable unit clauses: 0
% 0.11/0.43  %    Negative unit clauses             : 0
% 0.11/0.43  %    Non-unit-clauses                  : 0
% 0.11/0.43  % Current number of unprocessed clauses: 1
% 0.11/0.43  % ...number of literals in the above   : 2
% 0.11/0.43  % Current number of archived formulas  : 0
% 0.11/0.43  % Current number of archived clauses   : 2
% 0.11/0.43  % Clause-clause subsumption calls (NU) : 1
% 0.11/0.43  % Rec. Clause-clause subsumption calls : 1
% 0.11/0.43  % Non-unit clause-clause subsumptions  : 1
% 0.11/0.43  % Unit Clause-clause subsumption calls : 0
% 0.11/0.43  % Rewrite failures with RHS unbound    : 0
% 0.11/0.43  % BW rewrite match attempts            : 1
% 0.11/0.43  % BW rewrite match successes           : 1
% 0.11/0.43  % Condensation attempts                : 0
% 0.11/0.43  % Condensation successes               : 0
% 0.11/0.43  % Termbank termtop insertions          : 272
% 0.11/0.43  % Search garbage collected termcells   : 31
% 0.11/0.43  
% 0.11/0.43  % -------------------------------------------------
% 0.11/0.43  % User time                : 0.003 s
% 0.11/0.43  % System time              : 0.001 s
% 0.11/0.43  % Total time               : 0.005 s
% 0.11/0.43  % Maximum resident set size: 3624 pages
% 0.11/0.43  
% 0.11/0.43  % -------------------------------------------------
% 0.11/0.43  % User time                : 0.003 s
% 0.11/0.43  % System time              : 0.007 s
% 0.11/0.43  % Total time               : 0.011 s
% 0.11/0.43  % Maximum resident set size: 4608 pages
% 0.11/0.43  % E exiting
%------------------------------------------------------------------------------