%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO346^5 : TPTP v9.3.1. Released v4.0.0.
% 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 : Wed Sep 30 08:42:47 AM UTC 2026
% Result : Theorem 0.28s 0.39s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 69 ( 0 equ; 0 cnn)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 80 ( 25 ~; 24 |; 9 &; 19 @)
% ( 1 <=>; 0 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 4 con; 0-1 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
cB: $o ).
thf(decl_24,type,
cP: $o > $o ).
thf(decl_25,type,
cA: $o ).
thf(cTHM621,conjecture,
( ( cA
<~> cB )
| ~ ( cP @ cA )
| ( cP @ cB ) ),
file('/export/starexec/sandbox/tmp/tmp.JdHs2EtDsb/E---3.1_1905813.p',cTHM621) ).
thf(c_0_1,negated_conjecture,
~ ( ( cA
<~> cB )
| ~ ( cP @ cA )
| ( cP @ cB ) ),
inference(assume_negation,[status(cth)],[cTHM621]) ).
thf(c_0_2,negated_conjecture,
~ ( ~ ( cA
<=> cB )
| ~ ( ( ~ cA
| ( cP @ $true ) )
& ( cA
| ( cP @ $false ) ) )
| ( ( ~ cB
| ( cP @ $true ) )
& ( cB
| ( cP @ $false ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[c_0_1])]) ).
thf(c_0_3,negated_conjecture,
( ( ~ cA
| cB )
& ( ~ cB
| cA )
& ( ~ cA
| ( cP @ $true ) )
& ( cA
| ( cP @ $false ) )
& ( ~ cB
| cB )
& ( ~ ( cP @ $false )
| cB )
& ( ~ cB
| ~ ( cP @ $true ) )
& ( ~ ( cP @ $false )
| ~ ( cP @ $true ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
thf(c_0_4,negated_conjecture,
( cB
| ~ ( cP @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
( cA
| ( cP @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
( cB
| ~ cA ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_7,negated_conjecture,
( cA
| ~ cB ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_8,negated_conjecture,
cB,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6]) ).
thf(c_0_9,negated_conjecture,
( ( cP @ $true )
| ~ cA ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_10,negated_conjecture,
cA,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]) ).
thf(c_0_11,negated_conjecture,
( ~ cB
| ~ ( cP @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_12,negated_conjecture,
cP @ $true,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).
thf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_8]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYO346^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.27 % Computer : n005.cluster.edu
% 0.13/0.27 % Model : x86_64 x86_64
% 0.13/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.27 % Memory : 8046.5625MB
% 0.13/0.27 % OS : Linux 6.8.0-71-generic
% 0.13/0.27 % CPULimit : 300
% 0.13/0.27 % WCLimit : 300
% 0.13/0.27 % DateTime : Tue Sep 29 16:47:31 UTC 2026
% 0.13/0.28 % CPUTime :
% 0.13/0.28 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.28/0.35 Running higher-order theorem proving
% 0.28/0.37 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.JdHs2EtDsb/E---3.1_1905813.p
% 0.28/0.39 % Version: 3.5.1-ho
% 0.28/0.39 % Preprocessing class: HSSSSLSSSSSNFFN.
% 0.28/0.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.39 % Starting new_ho_10 with 1500s (5) cores
% 0.28/0.39 % Starting ehoh_best8_lambda with 300s (1) cores
% 0.28/0.39 % Starting ho_unfolding_6 with 300s (1) cores
% 0.28/0.39 % Starting sh4l with 300s (1) cores
% 0.28/0.39 % ehoh_best8_lambda with pid 1905827 completed with status 0
% 0.28/0.39 % Result found by ehoh_best8_lambda
% 0.28/0.39 % Preprocessing class: HSSSSLSSSSSNFFN.
% 0.28/0.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.39 % Starting new_ho_10 with 1500s (5) cores
% 0.28/0.39 % Starting ehoh_best8_lambda with 300s (1) cores
% 0.28/0.39 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = Auto)
% 0.28/0.39 % No SInE strategy applied
% 0.28/0.39 % Search class: HGHNF-FFSF00-SFFFFFNN
% 0.28/0.39 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.28/0.39 % Starting SubtermCWHack with 31s (1) cores
% 0.28/0.39 % SubtermCWHack with pid 1905830 completed with status 0
% 0.28/0.39 % Result found by SubtermCWHack
% 0.28/0.39 % Preprocessing class: HSSSSLSSSSSNFFN.
% 0.28/0.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.39 % Starting new_ho_10 with 1500s (5) cores
% 0.28/0.39 % Starting ehoh_best8_lambda with 300s (1) cores
% 0.28/0.39 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = Auto)
% 0.28/0.39 % No SInE strategy applied
% 0.28/0.39 % Search class: HGHNF-FFSF00-SFFFFFNN
% 0.28/0.39 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.28/0.39 % Starting SubtermCWHack with 31s (1) cores
% 0.28/0.39 % Preprocessing time : 0.002 s
% 0.28/0.39
% 0.28/0.39 % Proof found!
% 0.28/0.39 % SZS status Theorem
% 0.28/0.39 % SZS output start CNFRefutation
% See solution above
% 0.28/0.39 % Parsed axioms : 4
% 0.28/0.39 % Removed by relevancy pruning/SinE : 0
% 0.28/0.39 % Initial clauses : 11
% 0.28/0.39 % Removed in clause preprocessing : 4
% 0.28/0.39 % Initial clauses in saturation : 7
% 0.28/0.39 % Processed clauses : 9
% 0.28/0.39 % ...of these trivial : 0
% 0.28/0.39 % ...subsumed : 0
% 0.28/0.39 % ...remaining for further processing : 8
% 0.28/0.39 % Other redundant clauses eliminated : 0
% 0.28/0.39 % Clauses deleted for lack of memory : 0
% 0.28/0.39 % Backward-subsumed : 0
% 0.28/0.39 % Backward-rewritten : 5
% 0.28/0.39 % Generated clauses : 2
% 0.28/0.39 % ...of the previous two non-redundant : 3
% 0.28/0.39 % ...aggressively subsumed : 0
% 0.28/0.39 % Contextual simplify-reflections : 1
% 0.28/0.39 % Paramodulations : 2
% 0.28/0.39 % Factorizations : 0
% 0.28/0.39 % NegExts : 0
% 0.28/0.39 % Equation resolutions : 0
% 0.28/0.39 % Disequality decompositions : 0
% 0.28/0.39 % Total rewrite steps : 7
% 0.28/0.39 % ...of those cached : 4
% 0.28/0.39 % Propositional unsat checks : 0
% 0.28/0.39 % Propositional check models : 0
% 0.28/0.39 % Propositional check unsatisfiable : 0
% 0.28/0.39 % Propositional clauses : 0
% 0.28/0.39 % Propositional clauses after purity: 0
% 0.28/0.39 % Propositional unsat core size : 0
% 0.28/0.39 % Propositional preprocessing time : 0.000
% 0.28/0.39 % Propositional encoding time : 0.000
% 0.28/0.39 % Propositional solver time : 0.000
% 0.28/0.39 % Success case prop preproc time : 0.000
% 0.28/0.39 % Success case prop encoding time : 0.000
% 0.28/0.39 % Success case prop solver time : 0.000
% 0.28/0.39 % Current number of processed clauses : 3
% 0.28/0.39 % Positive orientable unit clauses : 3
% 0.28/0.39 % Positive unorientable unit clauses: 0
% 0.28/0.39 % Negative unit clauses : 0
% 0.28/0.39 % Non-unit-clauses : 0
% 0.28/0.39 % Current number of unprocessed clauses: 1
% 0.28/0.39 % ...number of literals in the above : 2
% 0.28/0.39 % Current number of archived formulas : 0
% 0.28/0.39 % Current number of archived clauses : 5
% 0.28/0.39 % Clause-clause subsumption calls (NU) : 1
% 0.28/0.39 % Rec. Clause-clause subsumption calls : 1
% 0.28/0.39 % Non-unit clause-clause subsumptions : 1
% 0.28/0.39 % Unit Clause-clause subsumption calls : 0
% 0.28/0.39 % Rewrite failures with RHS unbound : 0
% 0.28/0.39 % BW rewrite match attempts : 2
% 0.28/0.39 % BW rewrite match successes : 2
% 0.28/0.39 % Condensation attempts : 0
% 0.28/0.39 % Condensation successes : 0
% 0.28/0.39 % Termbank termtop insertions : 391
% 0.28/0.39 % Search garbage collected termcells : 39
% 0.28/0.39
% 0.28/0.39 % -------------------------------------------------
% 0.28/0.39 % User time : 0.005 s
% 0.28/0.39 % System time : 0.001 s
% 0.28/0.39 % Total time : 0.006 s
% 0.28/0.39 % Maximum resident set size: 3624 pages
% 0.28/0.39
% 0.28/0.39 % -------------------------------------------------
% 0.28/0.39 % User time : 0.008 s
% 0.28/0.39 % System time : 0.006 s
% 0.28/0.39 % Total time : 0.014 s
% 0.28/0.39 % Maximum resident set size: 4864 pages
% 0.28/0.39 % E exiting
%------------------------------------------------------------------------------