%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO146^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 08:42:27 AM UTC 2026
% Result : Theorem 0.24s 0.31s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 55 ( 7 ~; 8 |; 4 &; 34 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 9 ( 0 ^; 9 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
a: $i ).
thf(decl_24,type,
cQ: $i > $o ).
thf(decl_25,type,
c: $i ).
thf(decl_26,type,
cP: $i > $i > $o ).
thf(decl_27,type,
b: $i ).
thf(cDUP_EXPL_1,conjecture,
( ! [X1: $i] :
( ! [X2: $i] : ( cP @ X1 @ X2 )
| ( cQ @ X1 ) )
=> ( ( ( cP @ a @ b )
& ( cP @ a @ c ) )
| ( cQ @ a ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.eUJJ3P1LGO/E---3.1_557301.p',cDUP_EXPL_1) ).
thf(c_0_1,negated_conjecture,
~ ( ! [X1: $i] :
( ! [X2: $i] : ( cP @ X1 @ X2 )
| ( cQ @ X1 ) )
=> ( ( ( cP @ a @ b )
& ( cP @ a @ c ) )
| ( cQ @ a ) ) ),
inference(assume_negation,[status(cth)],[cDUP_EXPL_1]) ).
thf(c_0_2,negated_conjecture,
! [X5: $i,X6: $i] :
( ( ( cP @ X5 @ X6 )
| ( cQ @ X5 ) )
& ( ~ ( cP @ a @ b )
| ~ ( cP @ a @ c ) )
& ~ ( cQ @ a ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).
thf(c_0_3,negated_conjecture,
~ ( cQ @ a ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X2: $i,X1: $i] :
( ( cP @ X1 @ X2 )
| ( cQ @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
( ~ ( cP @ a @ b )
| ~ ( cP @ a @ c ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
! [X1: $i] : ( cP @ a @ X1 ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
thf(c_0_7,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6]),c_0_6])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO146^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 % Computer : n017.cluster.edu
% 0.07/0.21 % Model : x86_64 x86_64
% 0.07/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.21 % Memory : 8046.5625MB
% 0.07/0.21 % OS : Linux 6.8.0-71-generic
% 0.07/0.21 % CPULimit : 300
% 0.07/0.21 % WCLimit : 300
% 0.07/0.21 % DateTime : Tue Sep 29 16:30:37 UTC 2026
% 0.07/0.21 % CPUTime :
% 0.07/0.21 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.28 Running higher-order theorem proving
% 0.24/0.29 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.eUJJ3P1LGO/E---3.1_557301.p
% 0.24/0.31 % Version: 3.5.1-ho
% 0.24/0.31 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.24/0.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.31 % Starting new_ho_10 with 1500s (5) cores
% 0.24/0.31 % Starting ho_unfolding_6 with 300s (1) cores
% 0.24/0.31 % Starting sh4l with 300s (1) cores
% 0.24/0.31 % Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.24/0.31 % sh4l with pid 557316 completed with status 0
% 0.24/0.31 % Result found by sh4l
% 0.24/0.31 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.24/0.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.31 % Starting new_ho_10 with 1500s (5) cores
% 0.24/0.31 % Starting ho_unfolding_6 with 300s (1) cores
% 0.24/0.31 % Starting sh4l with 300s (1) cores
% 0.24/0.31 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.31 % No SInE strategy applied
% 0.24/0.31 % Search class: HGHNF-FFSF00-SFFFFFNN
% 0.24/0.31 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.31 % Starting SubtermCWHack with 31s (1) cores
% 0.24/0.31 % SubtermCWHack with pid 557321 completed with status 0
% 0.24/0.31 % Result found by SubtermCWHack
% 0.24/0.31 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.24/0.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.31 % Starting new_ho_10 with 1500s (5) cores
% 0.24/0.31 % Starting ho_unfolding_6 with 300s (1) cores
% 0.24/0.31 % Starting sh4l with 300s (1) cores
% 0.24/0.31 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.31 % No SInE strategy applied
% 0.24/0.31 % Search class: HGHNF-FFSF00-SFFFFFNN
% 0.24/0.31 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.31 % Starting SubtermCWHack with 31s (1) cores
% 0.24/0.31 % Preprocessing time : 0.001 s
% 0.24/0.31
% 0.24/0.31 % Proof found!
% 0.24/0.31 % SZS status Theorem
% 0.24/0.31 % SZS output start CNFRefutation
% See solution above
% 0.24/0.31 % Parsed axioms : 6
% 0.24/0.31 % Removed by relevancy pruning/SinE : 0
% 0.24/0.31 % Initial clauses : 8
% 0.24/0.31 % Removed in clause preprocessing : 5
% 0.24/0.31 % Initial clauses in saturation : 3
% 0.24/0.31 % Processed clauses : 4
% 0.24/0.31 % ...of these trivial : 0
% 0.24/0.31 % ...subsumed : 0
% 0.24/0.31 % ...remaining for further processing : 3
% 0.24/0.31 % Other redundant clauses eliminated : 0
% 0.24/0.31 % Clauses deleted for lack of memory : 0
% 0.24/0.31 % Backward-subsumed : 0
% 0.24/0.31 % Backward-rewritten : 0
% 0.24/0.31 % Generated clauses : 1
% 0.24/0.31 % ...of the previous two non-redundant : 1
% 0.24/0.31 % ...aggressively subsumed : 0
% 0.24/0.31 % Contextual simplify-reflections : 0
% 0.24/0.31 % Paramodulations : 1
% 0.24/0.31 % Factorizations : 0
% 0.24/0.31 % NegExts : 0
% 0.24/0.31 % Equation resolutions : 0
% 0.24/0.31 % Disequality decompositions : 0
% 0.24/0.31 % Total rewrite steps : 2
% 0.24/0.31 % ...of those cached : 0
% 0.24/0.31 % Propositional unsat checks : 0
% 0.24/0.31 % Propositional check models : 0
% 0.24/0.31 % Propositional check unsatisfiable : 0
% 0.24/0.31 % Propositional clauses : 0
% 0.24/0.31 % Propositional clauses after purity: 0
% 0.24/0.31 % Propositional unsat core size : 0
% 0.24/0.31 % Propositional preprocessing time : 0.000
% 0.24/0.31 % Propositional encoding time : 0.000
% 0.24/0.31 % Propositional solver time : 0.000
% 0.24/0.31 % Success case prop preproc time : 0.000
% 0.24/0.31 % Success case prop encoding time : 0.000
% 0.24/0.31 % Success case prop solver time : 0.000
% 0.24/0.31 % Current number of processed clauses : 3
% 0.24/0.31 % Positive orientable unit clauses : 1
% 0.24/0.31 % Positive unorientable unit clauses: 0
% 0.24/0.31 % Negative unit clauses : 1
% 0.24/0.31 % Non-unit-clauses : 1
% 0.24/0.31 % Current number of unprocessed clauses: 0
% 0.24/0.31 % ...number of literals in the above : 0
% 0.24/0.31 % Current number of archived formulas : 0
% 0.24/0.31 % Current number of archived clauses : 0
% 0.24/0.31 % Clause-clause subsumption calls (NU) : 0
% 0.24/0.31 % Rec. Clause-clause subsumption calls : 0
% 0.24/0.31 % Non-unit clause-clause subsumptions : 0
% 0.24/0.31 % Unit Clause-clause subsumption calls : 0
% 0.24/0.31 % Rewrite failures with RHS unbound : 0
% 0.24/0.31 % BW rewrite match attempts : 0
% 0.24/0.31 % BW rewrite match successes : 0
% 0.24/0.31 % Condensation attempts : 0
% 0.24/0.31 % Condensation successes : 0
% 0.24/0.31 % Termbank termtop insertions : 292
% 0.24/0.31 % Search garbage collected termcells : 52
% 0.24/0.31
% 0.24/0.31 % -------------------------------------------------
% 0.24/0.31 % User time : 0.003 s
% 0.24/0.31 % System time : 0.001 s
% 0.24/0.31 % Total time : 0.004 s
% 0.24/0.31 % Maximum resident set size: 3576 pages
% 0.24/0.31
% 0.24/0.31 % -------------------------------------------------
% 0.24/0.31 % User time : 0.005 s
% 0.24/0.31 % System time : 0.005 s
% 0.24/0.31 % Total time : 0.010 s
% 0.24/0.31 % Maximum resident set size: 4864 pages
% 0.24/0.31 % E exiting
%------------------------------------------------------------------------------