%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYO141^5 : 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 : n008.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 08:43:53 AM UTC 2026
% Result : Theorem 0.08s 0.24s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 38 ( 5 ~; 2 |; 3 &; 20 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 3 con; 0-1 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,
x: $i ).
thf(decl_26,type,
cR: $i > $o ).
thf(decl_27,type,
cP: $i > $o ).
thf(cADDHYP2,conjecture,
( ( ( cP @ a )
=> ! [X1: $i] : ( cQ @ X1 ) )
=> ( ! [X1: $i] : ( cP @ X1 )
=> ( ( cR @ x )
=> ( cQ @ a ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.oFeUM2MXu2/E---3.1_3384877.p',cADDHYP2) ).
thf(c_0_1,negated_conjecture,
~ ( ( ( cP @ a )
=> ! [X1: $i] : ( cQ @ X1 ) )
=> ( ! [X1: $i] : ( cP @ X1 )
=> ( ( cR @ x )
=> ( cQ @ a ) ) ) ),
inference(assume_negation,[status(cth)],[cADDHYP2]) ).
thf(c_0_2,negated_conjecture,
! [X4: $i,X5: $i] :
( ( ~ ( cP @ a )
| ( cQ @ X4 ) )
& ( cP @ X5 )
& ( cR @ x )
& ~ ( 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,
! [X1: $i] :
( ( cQ @ X1 )
| ~ ( cP @ a ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X1: $i] : ( cP @ X1 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
~ ( cQ @ a ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
! [X1: $i] : ( cQ @ X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4])]) ).
thf(c_0_7,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO141^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n008.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 16:35:39 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.23 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.oFeUM2MXu2/E---3.1_3384877.p
% 0.08/0.24 % Version: 3.5.1-ho
% 0.08/0.24 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.08/0.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.24 % Starting new_ho_10 with 1500s (5) cores
% 0.08/0.24 % Starting ho_unfolding_6 with 300s (1) cores
% 0.08/0.24 % Starting sh4l with 300s (1) cores
% 0.08/0.24 % Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.08/0.24 % ho_unfolding_6 with pid 3384912 completed with status 0
% 0.08/0.24 % Result found by ho_unfolding_6
% 0.08/0.24 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.08/0.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.24 % Starting new_ho_10 with 1500s (5) cores
% 0.08/0.24 % Starting ho_unfolding_6 with 300s (1) cores
% 0.08/0.24 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.24 % No SInE strategy applied
% 0.08/0.24 % Search class: HUHNF-FFSF00-SFFFFFNN
% 0.08/0.24 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.24 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.24 % SubtermCWHack with pid 3384916 completed with status 0
% 0.08/0.24 % Result found by SubtermCWHack
% 0.08/0.24 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.08/0.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.24 % Starting new_ho_10 with 1500s (5) cores
% 0.08/0.24 % Starting ho_unfolding_6 with 300s (1) cores
% 0.08/0.24 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.24 % No SInE strategy applied
% 0.08/0.24 % Search class: HUHNF-FFSF00-SFFFFFNN
% 0.08/0.24 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.24 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.24 % Preprocessing time : 0.001 s
% 0.08/0.24
% 0.08/0.24 % Proof found!
% 0.08/0.24 % SZS status Theorem
% 0.08/0.24 % SZS output start CNFRefutation
% See solution above
% 0.08/0.24 % Parsed axioms : 6
% 0.08/0.24 % Removed by relevancy pruning/SinE : 0
% 0.08/0.24 % Initial clauses : 9
% 0.08/0.24 % Removed in clause preprocessing : 7
% 0.08/0.24 % Initial clauses in saturation : 2
% 0.08/0.24 % Processed clauses : 1
% 0.08/0.24 % ...of these trivial : 0
% 0.08/0.24 % ...subsumed : 0
% 0.08/0.24 % ...remaining for further processing : 0
% 0.08/0.24 % Other redundant clauses eliminated : 0
% 0.08/0.24 % Clauses deleted for lack of memory : 0
% 0.08/0.24 % Backward-subsumed : 0
% 0.08/0.24 % Backward-rewritten : 0
% 0.08/0.24 % Generated clauses : 0
% 0.08/0.24 % ...of the previous two non-redundant : 0
% 0.08/0.24 % ...aggressively subsumed : 0
% 0.08/0.24 % Contextual simplify-reflections : 0
% 0.08/0.24 % Paramodulations : 0
% 0.08/0.24 % Factorizations : 0
% 0.08/0.24 % NegExts : 0
% 0.08/0.24 % Equation resolutions : 0
% 0.08/0.24 % Disequality decompositions : 0
% 0.08/0.24 % Total rewrite steps : 0
% 0.08/0.24 % ...of those cached : 0
% 0.08/0.24 % Propositional unsat checks : 0
% 0.08/0.24 % Propositional check models : 0
% 0.08/0.24 % Propositional check unsatisfiable : 0
% 0.08/0.24 % Propositional clauses : 0
% 0.08/0.24 % Propositional clauses after purity: 0
% 0.08/0.24 % Propositional unsat core size : 0
% 0.08/0.24 % Propositional preprocessing time : 0.000
% 0.08/0.24 % Propositional encoding time : 0.000
% 0.08/0.24 % Propositional solver time : 0.000
% 0.08/0.24 % Success case prop preproc time : 0.000
% 0.08/0.24 % Success case prop encoding time : 0.000
% 0.08/0.24 % Success case prop solver time : 0.000
% 0.08/0.24 % Current number of processed clauses : 0
% 0.08/0.24 % Positive orientable unit clauses : 0
% 0.08/0.24 % Positive unorientable unit clauses: 0
% 0.08/0.24 % Negative unit clauses : 0
% 0.08/0.24 % Non-unit-clauses : 0
% 0.08/0.24 % Current number of unprocessed clauses: 1
% 0.08/0.24 % ...number of literals in the above : 1
% 0.08/0.24 % Current number of archived formulas : 0
% 0.08/0.24 % Current number of archived clauses : 2
% 0.08/0.24 % Clause-clause subsumption calls (NU) : 0
% 0.08/0.24 % Rec. Clause-clause subsumption calls : 0
% 0.08/0.24 % Non-unit clause-clause subsumptions : 0
% 0.08/0.24 % Unit Clause-clause subsumption calls : 0
% 0.08/0.24 % Rewrite failures with RHS unbound : 0
% 0.08/0.24 % BW rewrite match attempts : 0
% 0.08/0.24 % BW rewrite match successes : 0
% 0.08/0.24 % Condensation attempts : 0
% 0.08/0.24 % Condensation successes : 0
% 0.08/0.24 % Termbank termtop insertions : 275
% 0.08/0.24 % Search garbage collected termcells : 68
% 0.08/0.24
% 0.08/0.24 % -------------------------------------------------
% 0.08/0.24 % User time : 0.003 s
% 0.08/0.24 % System time : 0.000 s
% 0.08/0.24 % Total time : 0.003 s
% 0.08/0.24 % Maximum resident set size: 3628 pages
% 0.08/0.24
% 0.08/0.24 % -------------------------------------------------
% 0.08/0.24 % User time : 0.006 s
% 0.08/0.24 % System time : 0.001 s
% 0.08/0.24 % Total time : 0.006 s
% 0.08/0.24 % Maximum resident set size: 4864 pages
% 0.08/0.24 % E exiting
%------------------------------------------------------------------------------