%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU967^5 : 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 : n012.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 08:28:10 AM UTC 2026
% Result : Theorem 0.08s 0.14s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 9 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 177 ( 14 ~; 5 |; 12 &; 146 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 14 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 52 ( 52 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 84 ( 36 ^; 8 !; 40 ?; 84 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
cY_0: ( ( $i > $i ) > $o ) > $i ).
thf(decl_24,type,
cG_0: ( ( $i > $i ) > $o ) > $i > $i ).
thf(decl_25,type,
cP_0: $i > $o ).
thf(decl_26,type,
cH_0: ( ( $i > $i ) > $o ) > $i > $i ).
thf(decl_27,type,
esk1_1: ( ( $i > $i ) > $i > $o ) > $i ).
thf(decl_28,type,
esk2_1: ( ( $i > $i ) > $i > $o ) > $i ).
thf(cBUGWFFA_pme,conjecture,
~ ! [X1: ( $i > $i ) > $i > $o] :
( ? [X2: $i] :
( X1
@ ( cG_0
@ ^ [X3: $i > $i] :
? [X4: $i] : ( X1 @ X3 @ X4 ) )
@ X2 )
& ? [X2: $i] :
( X1
@ ( cH_0
@ ^ [X3: $i > $i] :
? [X4: $i] : ( X1 @ X3 @ X4 ) )
@ X2 )
& ( ~ ? [X2: $i] :
( X1
@ ^ [X5: $i] :
( cG_0
@ ^ [X3: $i > $i] :
? [X4: $i] : ( X1 @ X3 @ X4 )
@ ( cH_0
@ ^ [X3: $i > $i] :
? [X4: $i] : ( X1 @ X3 @ X4 )
@ X5 ) )
@ X2 )
| ( ( cP_0
@ ( cY_0
@ ^ [X3: $i > $i] :
? [X2: $i] : ( X1 @ X3 @ X2 ) ) )
& ~ ( cP_0
@ ( cG_0
@ ^ [X3: $i > $i] :
? [X2: $i] : ( X1 @ X3 @ X2 )
@ ( cY_0
@ ^ [X3: $i > $i] :
? [X2: $i] : ( X1 @ X3 @ X2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.kn7SG4tT7D/E---3.1_211015.p',cBUGWFFA_pme) ).
thf(c_0_1,negated_conjecture,
~ ~ ! [X1: ( $i > $i ) > $i > $o] :
( ? [X2: $i] :
( X1
@ ( cG_0
@ ^ [X3: $i > $i] :
? [X4: $i] : ( X1 @ X3 @ X4 ) )
@ X2 )
& ? [X2: $i] :
( X1
@ ( cH_0
@ ^ [X3: $i > $i] :
? [X4: $i] : ( X1 @ X3 @ X4 ) )
@ X2 )
& ( ~ ? [X2: $i] :
( X1
@ ^ [X5: $i] :
( cG_0
@ ^ [X3: $i > $i] :
? [X4: $i] : ( X1 @ X3 @ X4 )
@ ( cH_0
@ ^ [X3: $i > $i] :
? [X4: $i] : ( X1 @ X3 @ X4 )
@ X5 ) )
@ X2 )
| ( ( cP_0
@ ( cY_0
@ ^ [X3: $i > $i] :
? [X2: $i] : ( X1 @ X3 @ X2 ) ) )
& ~ ( cP_0
@ ( cG_0
@ ^ [X3: $i > $i] :
? [X2: $i] : ( X1 @ X3 @ X2 )
@ ( cY_0
@ ^ [X3: $i > $i] :
? [X2: $i] : ( X1 @ X3 @ X2 ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[cBUGWFFA_pme]) ).
thf(c_0_2,negated_conjecture,
~ ~ ! [X1: ( $i > $i ) > $i > $o] :
( ? [X2: $i] :
( X1
@ ( cG_0
@ ^ [Z0: $i > $i] :
? [X4: $i] : ( X1 @ Z0 @ X4 ) )
@ X2 )
& ? [X2: $i] :
( X1
@ ( cH_0
@ ^ [Z0: $i > $i] :
? [X4: $i] : ( X1 @ Z0 @ X4 ) )
@ X2 )
& ( ~ ? [X2: $i] :
( X1
@ ^ [Z0: $i] :
( cG_0
@ ^ [Z1: $i > $i] :
? [X4: $i] : ( X1 @ Z1 @ X4 )
@ ( cH_0
@ ^ [Z1: $i > $i] :
? [X4: $i] : ( X1 @ Z1 @ X4 )
@ Z0 ) )
@ X2 )
| ( ( cP_0
@ ( cY_0
@ ^ [Z0: $i > $i] :
? [X2: $i] : ( X1 @ Z0 @ X2 ) ) )
& ~ ( cP_0
@ ( cG_0
@ ^ [Z0: $i > $i] :
? [X2: $i] : ( X1 @ Z0 @ X2 )
@ ( cY_0
@ ^ [Z0: $i > $i] :
? [X2: $i] : ( X1 @ Z0 @ X2 ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1])]) ).
thf(c_0_3,negated_conjecture,
! [X10: ( $i > $i ) > $i > $o,X12: ( $i > $i ) > $i > $o,X14: ( $i > $i ) > $i > $o,X15: $i] :
( ( X10
@ ( cG_0
@ ^ [Z0: $i > $i] :
? [X4: $i] : ( X10 @ Z0 @ X4 ) )
@ ( esk1_1 @ X10 ) )
& ( X12
@ ( cH_0
@ ^ [Z0: $i > $i] :
? [X4: $i] : ( X12 @ Z0 @ X4 ) )
@ ( esk2_1 @ X12 ) )
& ( ( cP_0
@ ( cY_0
@ ^ [Z0: $i > $i] :
? [X2: $i] : ( X14 @ Z0 @ X2 ) ) )
| ~ ( X14
@ ^ [Z0: $i] :
( cG_0
@ ^ [Z1: $i > $i] :
? [X4: $i] : ( X14 @ Z1 @ X4 )
@ ( cH_0
@ ^ [Z1: $i > $i] :
? [X4: $i] : ( X14 @ Z1 @ X4 )
@ Z0 ) )
@ X15 ) )
& ( ~ ( cP_0
@ ( cG_0
@ ^ [Z0: $i > $i] :
? [X2: $i] : ( X14 @ Z0 @ X2 )
@ ( cY_0
@ ^ [Z0: $i > $i] :
? [X2: $i] : ( X14 @ Z0 @ X2 ) ) ) )
| ~ ( X14
@ ^ [Z0: $i] :
( cG_0
@ ^ [Z1: $i > $i] :
? [X4: $i] : ( X14 @ Z1 @ X4 )
@ ( cH_0
@ ^ [Z1: $i > $i] :
? [X4: $i] : ( X14 @ Z1 @ X4 )
@ Z0 ) )
@ X15 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])])]) ).
thf(c_0_4,negated_conjecture,
! [X1: ( $i > $i ) > $i > $o] :
( X1
@ ( cG_0
@ ^ [Z0: $i > $i] :
? [X16: $i] : ( X1 @ Z0 @ X16 ) )
@ ( esk1_1 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
$false,
inference(flex_resolve,[status(thm)],[c_0_4]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU967^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 14:52:52 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.13 Running higher-order theorem proving
% 0.08/0.13 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.kn7SG4tT7D/E---3.1_211015.p
% 0.08/0.14 % Version: 3.5.1-ho
% 0.08/0.14 % partial match(1): HSSSSMSSSSMCHHA
% 0.08/0.14 % Preprocessing class: HSSSSMSSSSLCHHA.
% 0.08/0.14 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.14 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.08/0.14 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.08/0.14 % Starting new_bool_3 with 300s (1) cores
% 0.08/0.14 % Starting new_bool_1 with 300s (1) cores
% 0.08/0.14 % ehoh_best_sine_rwall with pid 211029 completed with status 0
% 0.08/0.14 % Result found by ehoh_best_sine_rwall
% 0.08/0.14 % partial match(1): HSSSSMSSSSMCHHA
% 0.08/0.14 % Preprocessing class: HSSSSMSSSSLCHHA.
% 0.08/0.14 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.14 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.08/0.14 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.08/0.14 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.08/0.14 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.08/0.14 % Search class: HHHNS-FFSF21-DHHFFMBN
% 0.08/0.14 % partial match(3): HGHNF-FFSF21-SHHFFMBN
% 0.08/0.14 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.14 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.14 % SubtermCWHack with pid 211032 completed with status 0
% 0.08/0.14 % Result found by SubtermCWHack
% 0.08/0.14 % partial match(1): HSSSSMSSSSMCHHA
% 0.08/0.14 % Preprocessing class: HSSSSMSSSSLCHHA.
% 0.08/0.14 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.14 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.08/0.14 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.08/0.14 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.08/0.14 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.08/0.14 % Search class: HHHNS-FFSF21-DHHFFMBN
% 0.08/0.14 % partial match(3): HGHNF-FFSF21-SHHFFMBN
% 0.08/0.14 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.14 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.14 % Preprocessing time : 0.001 s
% 0.08/0.14
% 0.08/0.14 % Proof found!
% 0.08/0.14 % SZS status Theorem
% 0.08/0.14 % SZS output start CNFRefutation
% See solution above
% 0.08/0.14 % Parsed axioms : 5
% 0.08/0.14 % Removed by relevancy pruning/SinE : 4
% 0.08/0.14 % Initial clauses : 4
% 0.08/0.14 % Removed in clause preprocessing : 0
% 0.08/0.14 % Initial clauses in saturation : 4
% 0.08/0.14 % Processed clauses : 1
% 0.08/0.14 % ...of these trivial : 0
% 0.08/0.14 % ...subsumed : 0
% 0.08/0.14 % ...remaining for further processing : 0
% 0.08/0.14 % Other redundant clauses eliminated : 0
% 0.08/0.14 % Clauses deleted for lack of memory : 0
% 0.08/0.14 % Backward-subsumed : 0
% 0.08/0.14 % Backward-rewritten : 0
% 0.08/0.14 % Generated clauses : 0
% 0.08/0.14 % ...of the previous two non-redundant : 0
% 0.08/0.14 % ...aggressively subsumed : 0
% 0.08/0.14 % Contextual simplify-reflections : 0
% 0.08/0.14 % Paramodulations : 0
% 0.08/0.14 % Factorizations : 0
% 0.08/0.14 % NegExts : 0
% 0.08/0.14 % Equation resolutions : 0
% 0.08/0.14 % Disequality decompositions : 0
% 0.08/0.14 % Total rewrite steps : 0
% 0.08/0.14 % ...of those cached : 0
% 0.08/0.14 % Propositional unsat checks : 0
% 0.08/0.14 % Propositional check models : 0
% 0.08/0.14 % Propositional check unsatisfiable : 0
% 0.08/0.14 % Propositional clauses : 0
% 0.08/0.14 % Propositional clauses after purity: 0
% 0.08/0.14 % Propositional unsat core size : 0
% 0.08/0.14 % Propositional preprocessing time : 0.000
% 0.08/0.14 % Propositional encoding time : 0.000
% 0.08/0.14 % Propositional solver time : 0.000
% 0.08/0.14 % Success case prop preproc time : 0.000
% 0.08/0.14 % Success case prop encoding time : 0.000
% 0.08/0.14 % Success case prop solver time : 0.000
% 0.08/0.14 % Current number of processed clauses : 0
% 0.08/0.14 % Positive orientable unit clauses : 0
% 0.08/0.14 % Positive unorientable unit clauses: 0
% 0.08/0.14 % Negative unit clauses : 0
% 0.08/0.14 % Non-unit-clauses : 0
% 0.08/0.14 % Current number of unprocessed clauses: 3
% 0.08/0.14 % ...number of literals in the above : 5
% 0.08/0.14 % Current number of archived formulas : 0
% 0.08/0.14 % Current number of archived clauses : 0
% 0.08/0.14 % Clause-clause subsumption calls (NU) : 0
% 0.08/0.14 % Rec. Clause-clause subsumption calls : 0
% 0.08/0.14 % Non-unit clause-clause subsumptions : 0
% 0.08/0.14 % Unit Clause-clause subsumption calls : 0
% 0.08/0.14 % Rewrite failures with RHS unbound : 0
% 0.08/0.14 % BW rewrite match attempts : 0
% 0.08/0.14 % BW rewrite match successes : 0
% 0.08/0.14 % Condensation attempts : 0
% 0.08/0.14 % Condensation successes : 0
% 0.08/0.14 % Termbank termtop insertions : 873
% 0.08/0.14 % Search garbage collected termcells : 159
% 0.08/0.14
% 0.08/0.14 % -------------------------------------------------
% 0.08/0.14 % User time : 0.002 s
% 0.08/0.14 % System time : 0.001 s
% 0.08/0.14 % Total time : 0.003 s
% 0.08/0.14 % Maximum resident set size: 3588 pages
% 0.08/0.14
% 0.08/0.14 % -------------------------------------------------
% 0.08/0.14 % User time : 0.002 s
% 0.08/0.14 % System time : 0.004 s
% 0.08/0.14 % Total time : 0.006 s
% 0.08/0.14 % Maximum resident set size: 4864 pages
% 0.08/0.14 % E exiting
%------------------------------------------------------------------------------