%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO376^5 : 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 : n014.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 08:42:51 AM UTC 2026
% Result : Theorem 0.12s 0.24s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 1
% Syntax : Number of formulae : 34 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 126 ( 3 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 155 ( 43 ~; 33 |; 6 &; 67 @)
% ( 0 <=>; 3 =>; 0 <=; 3 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 13 ( 13 ^; 0 !; 0 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
cG: $o > $o ).
thf(decl_24,type,
cF: $o > $o ).
thf(decl_25,type,
cP: ( $o > $o ) > $o ).
thf(decl_26,type,
esk1_0: $o ).
thf(decl_27,type,
esk2_0: $o ).
thf(decl_28,type,
esk3_0: $o ).
thf(cTHM627,conjecture,
( ( ( cP @ cF )
& ( cP @ cG ) )
=> ( ( cP
@ ^ [X1: $o] :
( ( cF @ X1 )
| ( cG @ X1 ) ) )
| ( cP
@ ^ [X1: $o] :
( ~ ( cF @ X1 )
| ( cG @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PLp5DQeWq8/E---3.1_2916465.p',cTHM627) ).
thf(c_0_1,negated_conjecture,
~ ( ( ( cP @ cF )
& ( cP @ cG ) )
=> ( ( cP
@ ^ [X1: $o] :
( ( cF @ X1 )
| ( cG @ X1 ) ) )
| ( cP
@ ^ [X1: $o] :
( ~ ( cF @ X1 )
| ( cG @ X1 ) ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM627]) ).
thf(c_0_2,negated_conjecture,
~ ( ( ( cP @ cF )
& ( cP @ cG ) )
=> ( ( cP
@ ^ [Z0: $o] :
( ( cF @ Z0 )
| ( cG @ Z0 ) ) )
| ( cP
@ ^ [Z0: $o] :
( ~ ( cF @ Z0 )
| ( cG @ Z0 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
thf(c_0_3,negated_conjecture,
( ( cP @ cF )
& ( cP @ cG )
& ~ ( cP
@ ^ [Z0: $o] :
( ( cF @ Z0 )
| ( cG @ Z0 ) ) )
& ~ ( cP
@ ^ [Z0: $o] :
( ~ ( cF @ Z0 )
| ( cG @ Z0 ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])]) ).
thf(c_0_4,negated_conjecture,
~ ( cP
@ ^ [Z0: $o] :
( ~ ( cF @ Z0 )
| ( cG @ Z0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
cP @ cG,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
~ ( cP
@ ^ [Z0: $o] :
( ( cF @ Z0 )
| ( cG @ Z0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_7,negated_conjecture,
cP @ cF,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_8,plain,
( ( ^ [Z0: $o] :
( ~ ( cF @ Z0 )
| ( cG @ Z0 ) ) )
!= cG ),
inference(ext_sup,[status(thm)],[c_0_4,c_0_5]) ).
thf(c_0_9,plain,
( ( ^ [Z0: $o] :
( ( cF @ Z0 )
| ( cG @ Z0 ) ) )
!= cG ),
inference(ext_sup,[status(thm)],[c_0_6,c_0_5]) ).
thf(c_0_10,plain,
( ( ^ [Z0: $o] :
( ( cF @ Z0 )
| ( cG @ Z0 ) ) )
!= cF ),
inference(ext_sup,[status(thm)],[c_0_6,c_0_7]) ).
thf(c_0_11,plain,
( ( ~ ( cF @ esk3_0 )
| ( cG @ esk3_0 ) )
<~> ( cG @ esk3_0 ) ),
inference(neg_ext,[status(thm)],[c_0_8]) ).
thf(c_0_12,plain,
( ( ( cF @ esk1_0 )
| ( cG @ esk1_0 ) )
<~> ( cG @ esk1_0 ) ),
inference(neg_ext,[status(thm)],[c_0_9]) ).
thf(c_0_13,plain,
( ( ( cF @ esk2_0 )
| ( cG @ esk2_0 ) )
<~> ( cF @ esk2_0 ) ),
inference(neg_ext,[status(thm)],[c_0_10]) ).
thf(c_0_14,plain,
( ~ ( cG @ $true )
| ~ esk3_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_11])]) ).
thf(c_0_15,plain,
( ~ ( cG @ $true )
| ~ esk1_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_12])]) ).
thf(c_0_16,plain,
( esk1_0
| ~ ( cG @ ~ $true ) ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_12])]) ).
thf(c_0_17,plain,
( ~ ( cF @ $true )
| ~ esk2_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_13])]) ).
thf(c_0_18,plain,
( ~ ( cF @ $true )
| ~ esk3_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_11])]),c_0_14]) ).
thf(c_0_19,plain,
( ( cF @ $true )
| ~ esk1_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_12])]),c_0_15]) ).
thf(c_0_20,plain,
( esk2_0
| ~ ( cF @ ~ $true ) ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_13])]) ).
thf(c_0_21,plain,
( ( cF @ ~ $true )
| esk1_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_12])]),c_0_16]) ).
thf(c_0_22,plain,
( ( cG @ $true )
| ~ esk2_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_13])]),c_0_17]) ).
thf(c_0_23,plain,
( ~ esk3_0
| ~ esk1_0 ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
thf(c_0_24,plain,
( esk1_0
| esk2_0 ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
thf(c_0_25,plain,
( ~ esk3_0
| ~ esk2_0 ),
inference(spm,[status(thm)],[c_0_14,c_0_22]) ).
thf(c_0_26,plain,
~ esk3_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
thf(c_0_27,plain,
( ( cG @ ~ $true )
| esk2_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_13])]),c_0_20]) ).
thf(c_0_28,plain,
~ ( cG @ ~ $true ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_11])]),c_0_26]) ).
thf(c_0_29,plain,
( ~ esk2_0
| ~ esk1_0 ),
inference(spm,[status(thm)],[c_0_17,c_0_19]) ).
thf(c_0_30,plain,
esk2_0,
inference(sr,[status(thm)],[c_0_27,c_0_28]) ).
thf(c_0_31,plain,
~ esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]) ).
thf(c_0_32,plain,
cF @ ~ $true,
inference(sr,[status(thm)],[c_0_21,c_0_31]) ).
thf(c_0_33,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_11])]),c_0_32])]),c_0_28]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO376^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.16 % Computer : n014.cluster.edu
% 0.12/0.16 % Model : x86_64 x86_64
% 0.12/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.16 % Memory : 8046.5625MB
% 0.12/0.16 % OS : Linux 6.8.0-71-generic
% 0.12/0.16 % CPULimit : 300
% 0.12/0.16 % WCLimit : 300
% 0.12/0.16 % DateTime : Tue Sep 29 16:49:30 UTC 2026
% 0.12/0.16 % CPUTime :
% 0.12/0.16 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.21 Running higher-order theorem proving
% 0.12/0.22 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.PLp5DQeWq8/E---3.1_2916465.p
% 0.12/0.24 % Version: 3.5.1-ho
% 0.12/0.24 % Preprocessing class: HSSSSMSSSSMCSSN.
% 0.12/0.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.24 % Starting post_as_ho5 with 1500s (5) cores
% 0.12/0.24 % Starting sh5l with 300s (1) cores
% 0.12/0.24 % Starting post_as_ho10 with 300s (1) cores
% 0.12/0.24 % Starting post_as_ho4 with 300s (1) cores
% 0.12/0.24 % sh5l with pid 2916492 completed with status 0
% 0.12/0.24 % Result found by sh5l
% 0.12/0.24 % Preprocessing class: HSSSSMSSSSMCSSN.
% 0.12/0.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.24 % Starting post_as_ho5 with 1500s (5) cores
% 0.12/0.24 % Starting sh5l with 300s (1) cores
% 0.12/0.24 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.12/0.24 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.12/0.24 % Search class: HUUNF-FFSF00-MSSFFFNN
% 0.12/0.24 % partial match(1): HUUNF-FFSF00-SSSFFFNN
% 0.12/0.24 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.24 % Starting SubtermCWHack with 31s (1) cores
% 0.12/0.24 % SubtermCWHack with pid 2916498 completed with status 10
% 0.12/0.24 % Starting new_ho_10 with 181s (1) cores
% 0.12/0.24 % new_ho_10 with pid 2916505 completed with status 10
% 0.12/0.24 % Starting sh5l with 31s (1) cores
% 0.12/0.24 % sh5l with pid 2916508 completed with status 0
% 0.12/0.24 % Result found by sh5l
% 0.12/0.24 % Preprocessing class: HSSSSMSSSSMCSSN.
% 0.12/0.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.24 % Starting post_as_ho5 with 1500s (5) cores
% 0.12/0.24 % Starting sh5l with 300s (1) cores
% 0.12/0.24 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.12/0.24 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.12/0.24 % Search class: HUUNF-FFSF00-MSSFFFNN
% 0.12/0.24 % partial match(1): HUUNF-FFSF00-SSSFFFNN
% 0.12/0.24 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.24 % Starting SubtermCWHack with 31s (1) cores
% 0.12/0.24 % SubtermCWHack with pid 2916498 completed with status 10
% 0.12/0.24 % Starting new_ho_10 with 181s (1) cores
% 0.12/0.24 % new_ho_10 with pid 2916505 completed with status 10
% 0.12/0.24 % Starting sh5l with 31s (1) cores
% 0.12/0.24 % Preprocessing time : 0.001 s
% 0.12/0.24 % Presaturation interreduction done
% 0.12/0.24
% 0.12/0.24 % Proof found!
% 0.12/0.24 % SZS status Theorem
% 0.12/0.24 % SZS output start CNFRefutation
% See solution above
% 0.12/0.24 % Parsed axioms : 4
% 0.12/0.24 % Removed by relevancy pruning/SinE : 3
% 0.12/0.24 % Initial clauses : 4
% 0.12/0.24 % Removed in clause preprocessing : 0
% 0.12/0.24 % Initial clauses in saturation : 4
% 0.12/0.24 % Processed clauses : 78
% 0.12/0.24 % ...of these trivial : 1
% 0.12/0.24 % ...subsumed : 35
% 0.12/0.24 % ...remaining for further processing : 41
% 0.12/0.24 % Other redundant clauses eliminated : 0
% 0.12/0.24 % Clauses deleted for lack of memory : 0
% 0.12/0.24 % Backward-subsumed : 10
% 0.12/0.24 % Backward-rewritten : 6
% 0.12/0.24 % Generated clauses : 182
% 0.12/0.24 % ...of the previous two non-redundant : 76
% 0.12/0.24 % ...aggressively subsumed : 0
% 0.12/0.24 % Contextual simplify-reflections : 6
% 0.12/0.24 % Paramodulations : 12
% 0.12/0.24 % Factorizations : 0
% 0.12/0.24 % NegExts : 4
% 0.12/0.24 % Equation resolutions : 0
% 0.12/0.24 % Disequality decompositions : 0
% 0.12/0.24 % Total rewrite steps : 17
% 0.12/0.24 % ...of those cached : 14
% 0.12/0.24 % Propositional unsat checks : 0
% 0.12/0.24 % Propositional check models : 0
% 0.12/0.24 % Propositional check unsatisfiable : 0
% 0.12/0.24 % Propositional clauses : 0
% 0.12/0.24 % Propositional clauses after purity: 0
% 0.12/0.24 % Propositional unsat core size : 0
% 0.12/0.24 % Propositional preprocessing time : 0.000
% 0.12/0.24 % Propositional encoding time : 0.000
% 0.12/0.24 % Propositional solver time : 0.000
% 0.12/0.24 % Success case prop preproc time : 0.000
% 0.12/0.24 % Success case prop encoding time : 0.000
% 0.12/0.24 % Success case prop solver time : 0.000
% 0.12/0.24 % Current number of processed clauses : 15
% 0.12/0.24 % Positive orientable unit clauses : 5
% 0.12/0.24 % Positive unorientable unit clauses: 0
% 0.12/0.24 % Negative unit clauses : 10
% 0.12/0.24 % Non-unit-clauses : 0
% 0.12/0.24 % Current number of unprocessed clauses: 6
% 0.12/0.24 % ...number of literals in the above : 24
% 0.12/0.24 % Current number of archived formulas : 0
% 0.12/0.24 % Current number of archived clauses : 26
% 0.12/0.24 % Clause-clause subsumption calls (NU) : 102
% 0.12/0.24 % Rec. Clause-clause subsumption calls : 87
% 0.12/0.24 % Non-unit clause-clause subsumptions : 33
% 0.12/0.24 % Unit Clause-clause subsumption calls : 30
% 0.12/0.24 % Rewrite failures with RHS unbound : 0
% 0.12/0.24 % BW rewrite match attempts : 1
% 0.12/0.24 % BW rewrite match successes : 1
% 0.12/0.24 % Condensation attempts : 78
% 0.12/0.24 % Condensation successes : 0
% 0.12/0.24 % Termbank termtop insertions : 4920
% 0.12/0.24 % Search garbage collected termcells : 39
% 0.12/0.24
% 0.12/0.24 % -------------------------------------------------
% 0.12/0.24 % User time : 0.005 s
% 0.12/0.24 % System time : 0.003 s
% 0.12/0.24 % Total time : 0.008 s
% 0.12/0.24 % Maximum resident set size: 3884 pages
% 0.12/0.24
% 0.12/0.24 % -------------------------------------------------
% 0.12/0.24 % User time : 0.008 s
% 0.12/0.24 % System time : 0.006 s
% 0.12/0.24 % Total time : 0.014 s
% 0.12/0.24 % Maximum resident set size: 4864 pages
% 0.12/0.24 % E exiting
%------------------------------------------------------------------------------