%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR141^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 07:46:38 AM UTC 2026
% Result : Theorem 0.09s 0.25s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 88 ( 0 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 254 ( 40 ~; 28 |; 10 &; 172 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 7 con; 0-3 aty)
% Number of variables : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
agent_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_24,type,
connected_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_25,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(decl_26,type,
instance_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_27,type,
lCADE_BM_THFTYPE_i: $i ).
thf(decl_28,type,
lMariaPaola_THFTYPE_i: $i ).
thf(decl_29,type,
lMeeting_THFTYPE_i: $i ).
thf(decl_30,type,
lReiner_THFTYPE_i: $i ).
thf(decl_31,type,
lWhenFn_THFTYPE_IiiI: $i > $i ).
thf(decl_32,type,
lNear_THFTYPE_i: $i ).
thf(decl_33,type,
orientation_THFTYPE_IiiioI: $i > $i > $i > $o ).
thf(con,conjecture,
( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
@ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ),
file('/export/starexec/sandbox2/tmp/tmp.nkE2moDxjm/E---3.1_439818.p',con) ).
thf(ax_004,axiom,
! [X1: $i,X2: $i,X3: $i] :
( ( ( instance_THFTYPE_IiioI @ X1 @ lMeeting_THFTYPE_i )
& ( agent_THFTYPE_IiioI @ X1 @ X3 )
& ( agent_THFTYPE_IiioI @ X1 @ X2 ) )
=> ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ X1 ) @ ( orientation_THFTYPE_IiiioI @ X3 @ X2 @ lNear_THFTYPE_i ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nkE2moDxjm/E---3.1_439818.p',ax_004) ).
thf(ax_003,axiom,
holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true,
file('/export/starexec/sandbox2/tmp/tmp.nkE2moDxjm/E---3.1_439818.p',ax_003) ).
thf(ax_005,axiom,
! [X4: $i,X5: $i] :
( ( orientation_THFTYPE_IiiioI @ X4 @ X5 @ lNear_THFTYPE_i )
=> ~ ( connected_THFTYPE_IiioI @ X4 @ X5 ) ),
file('/export/starexec/sandbox2/tmp/tmp.nkE2moDxjm/E---3.1_439818.p',ax_005) ).
thf(ax_002,axiom,
instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i,
file('/export/starexec/sandbox2/tmp/tmp.nkE2moDxjm/E---3.1_439818.p',ax_002) ).
thf(ax,axiom,
agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i,
file('/export/starexec/sandbox2/tmp/tmp.nkE2moDxjm/E---3.1_439818.p',ax) ).
thf(ax_001,axiom,
agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i,
file('/export/starexec/sandbox2/tmp/tmp.nkE2moDxjm/E---3.1_439818.p',ax_001) ).
thf(c_0_7,negated_conjecture,
~ ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
@ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_8,negated_conjecture,
~ ( ( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true ) )
& ( ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $false ) ) ),
inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[c_0_7])]) ).
thf(c_0_9,negated_conjecture,
( ( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
| ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $false )
| ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
& ( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $false )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
thf(c_0_10,axiom,
! [X1: $i,X2: $i,X3: $i] :
( ( ( instance_THFTYPE_IiioI @ X1 @ lMeeting_THFTYPE_i )
& ( agent_THFTYPE_IiioI @ X1 @ X3 )
& ( agent_THFTYPE_IiioI @ X1 @ X2 ) )
=> ( ( ~ ( orientation_THFTYPE_IiiioI @ X3 @ X2 @ lNear_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ X1 ) @ $true ) )
& ( ( orientation_THFTYPE_IiiioI @ X3 @ X2 @ lNear_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ X1 ) @ $false ) ) ) ),
inference(fool_unroll,[status(thm)],[ax_004]) ).
thf(c_0_11,negated_conjecture,
( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_12,plain,
holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true,
inference(split_conjunct,[status(thm)],[ax_003]) ).
thf(c_0_13,plain,
! [X4: $i,X5: $i] :
( ( orientation_THFTYPE_IiiioI @ X4 @ X5 @ lNear_THFTYPE_i )
=> ~ ( connected_THFTYPE_IiioI @ X4 @ X5 ) ),
inference(fof_simplification,[status(thm)],[ax_005]) ).
thf(c_0_14,plain,
! [X11: $i,X12: $i,X13: $i] :
( ( ~ ( orientation_THFTYPE_IiiioI @ X13 @ X12 @ lNear_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ X11 ) @ $true )
| ~ ( instance_THFTYPE_IiioI @ X11 @ lMeeting_THFTYPE_i )
| ~ ( agent_THFTYPE_IiioI @ X11 @ X13 )
| ~ ( agent_THFTYPE_IiioI @ X11 @ X12 ) )
& ( ( orientation_THFTYPE_IiiioI @ X13 @ X12 @ lNear_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ X11 ) @ $false )
| ~ ( instance_THFTYPE_IiioI @ X11 @ lMeeting_THFTYPE_i )
| ~ ( agent_THFTYPE_IiioI @ X11 @ X13 )
| ~ ( agent_THFTYPE_IiioI @ X11 @ X12 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
thf(c_0_15,negated_conjecture,
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ~ $true )
| ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_16,negated_conjecture,
connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]) ).
thf(c_0_17,plain,
! [X14: $i,X15: $i] :
( ~ ( orientation_THFTYPE_IiiioI @ X14 @ X15 @ lNear_THFTYPE_i )
| ~ ( connected_THFTYPE_IiioI @ X14 @ X15 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
thf(c_0_18,plain,
! [X1: $i,X3: $i,X2: $i] :
( ( orientation_THFTYPE_IiiioI @ X1 @ X2 @ lNear_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ X3 ) @ ~ $true )
| ~ ( instance_THFTYPE_IiioI @ X3 @ lMeeting_THFTYPE_i )
| ~ ( agent_THFTYPE_IiioI @ X3 @ X1 )
| ~ ( agent_THFTYPE_IiioI @ X3 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_19,plain,
instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i,
inference(split_conjunct,[status(thm)],[ax_002]) ).
thf(c_0_20,negated_conjecture,
~ ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ~ $true ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]) ).
thf(c_0_21,plain,
! [X1: $i,X2: $i] :
( ~ ( orientation_THFTYPE_IiiioI @ X1 @ X2 @ lNear_THFTYPE_i )
| ~ ( connected_THFTYPE_IiioI @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_22,plain,
! [X2: $i,X1: $i] :
( ( orientation_THFTYPE_IiiioI @ X1 @ X2 @ lNear_THFTYPE_i )
| ~ ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ X2 )
| ~ ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ X1 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
thf(c_0_23,plain,
! [X2: $i,X1: $i] :
( ~ ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ X1 )
| ~ ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ X2 )
| ~ ( connected_THFTYPE_IiioI @ X2 @ X1 ) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
thf(c_0_24,plain,
agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i,
inference(split_conjunct,[status(thm)],[ax]) ).
thf(c_0_25,plain,
agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i,
inference(split_conjunct,[status(thm)],[ax_001]) ).
thf(c_0_26,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_16]),c_0_24]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR141^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n011.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 17:56:31 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.23 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.nkE2moDxjm/E---3.1_439818.p
% 0.09/0.25 % Version: 3.5.1-ho
% 0.09/0.25 % Preprocessing class: HSMSSMSSSSSNFFN.
% 0.09/0.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.25 % Starting new_ho_10 with 1500s (5) cores
% 0.09/0.25 % Starting new_bool_1 with 300s (1) cores
% 0.09/0.25 % Starting full_lambda_5 with 300s (1) cores
% 0.09/0.25 % Starting new_ho_10_unif with 300s (1) cores
% 0.09/0.25 % new_ho_10 with pid 439845 completed with status 0
% 0.09/0.25 % Result found by new_ho_10
% 0.09/0.25 % Preprocessing class: HSMSSMSSSSSNFFN.
% 0.09/0.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.25 % Starting new_ho_10 with 1500s (5) cores
% 0.09/0.25 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.25 % No SInE strategy applied
% 0.09/0.25 % Search class: HGHNF-FFSS11-SFFFFFNN
% 0.09/0.25 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.25 % Starting SubtermCWHack with 151s (1) cores
% 0.09/0.25 % Starting new_ho_10 with 901s (1) cores
% 0.09/0.25 % Starting sh5l with 151s (1) cores
% 0.09/0.25 % Starting new_bool_1 with 151s (1) cores
% 0.09/0.25 % Starting new_bool_2 with 146s (1) cores
% 0.09/0.25 % SubtermCWHack with pid 439849 completed with status 0
% 0.09/0.25 % Result found by SubtermCWHack
% 0.09/0.25 % Preprocessing class: HSMSSMSSSSSNFFN.
% 0.09/0.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.25 % Starting new_ho_10 with 1500s (5) cores
% 0.09/0.25 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.25 % No SInE strategy applied
% 0.09/0.25 % Search class: HGHNF-FFSS11-SFFFFFNN
% 0.09/0.25 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.25 % Starting SubtermCWHack with 151s (1) cores
% 0.09/0.25 % Preprocessing time : 0.001 s
% 0.09/0.25
% 0.09/0.25 % Proof found!
% 0.09/0.25 % SZS status Theorem
% 0.09/0.25 % SZS output start CNFRefutation
% See solution above
% 0.09/0.25 % Parsed axioms : 19
% 0.09/0.25 % Removed by relevancy pruning/SinE : 0
% 0.09/0.25 % Initial clauses : 23
% 0.09/0.25 % Removed in clause preprocessing : 13
% 0.09/0.25 % Initial clauses in saturation : 10
% 0.09/0.25 % Processed clauses : 12
% 0.09/0.25 % ...of these trivial : 0
% 0.09/0.25 % ...subsumed : 1
% 0.09/0.25 % ...remaining for further processing : 11
% 0.09/0.25 % Other redundant clauses eliminated : 0
% 0.09/0.25 % Clauses deleted for lack of memory : 0
% 0.09/0.25 % Backward-subsumed : 0
% 0.09/0.25 % Backward-rewritten : 0
% 0.09/0.25 % Generated clauses : 4
% 0.09/0.25 % ...of the previous two non-redundant : 3
% 0.09/0.25 % ...aggressively subsumed : 0
% 0.09/0.25 % Contextual simplify-reflections : 0
% 0.09/0.25 % Paramodulations : 4
% 0.09/0.25 % Factorizations : 0
% 0.09/0.25 % NegExts : 0
% 0.09/0.25 % Equation resolutions : 0
% 0.09/0.25 % Disequality decompositions : 0
% 0.09/0.25 % Total rewrite steps : 5
% 0.09/0.25 % ...of those cached : 1
% 0.09/0.25 % Propositional unsat checks : 0
% 0.09/0.25 % Propositional check models : 0
% 0.09/0.25 % Propositional check unsatisfiable : 0
% 0.09/0.25 % Propositional clauses : 0
% 0.09/0.25 % Propositional clauses after purity: 0
% 0.09/0.25 % Propositional unsat core size : 0
% 0.09/0.25 % Propositional preprocessing time : 0.000
% 0.09/0.25 % Propositional encoding time : 0.000
% 0.09/0.25 % Propositional solver time : 0.000
% 0.09/0.25 % Success case prop preproc time : 0.000
% 0.09/0.25 % Success case prop encoding time : 0.000
% 0.09/0.25 % Success case prop solver time : 0.000
% 0.09/0.25 % Current number of processed clauses : 11
% 0.09/0.25 % Positive orientable unit clauses : 5
% 0.09/0.25 % Positive unorientable unit clauses: 0
% 0.09/0.25 % Negative unit clauses : 1
% 0.09/0.25 % Non-unit-clauses : 5
% 0.09/0.25 % Current number of unprocessed clauses: 1
% 0.09/0.25 % ...number of literals in the above : 6
% 0.09/0.25 % Current number of archived formulas : 0
% 0.09/0.25 % Current number of archived clauses : 0
% 0.09/0.25 % Clause-clause subsumption calls (NU) : 5
% 0.09/0.25 % Rec. Clause-clause subsumption calls : 2
% 0.09/0.25 % Non-unit clause-clause subsumptions : 0
% 0.09/0.25 % Unit Clause-clause subsumption calls : 0
% 0.09/0.25 % Rewrite failures with RHS unbound : 0
% 0.09/0.25 % BW rewrite match attempts : 0
% 0.09/0.25 % BW rewrite match successes : 0
% 0.09/0.25 % Condensation attempts : 0
% 0.09/0.25 % Condensation successes : 0
% 0.09/0.25 % Termbank termtop insertions : 980
% 0.09/0.25 % Search garbage collected termcells : 104
% 0.09/0.25
% 0.09/0.25 % -------------------------------------------------
% 0.09/0.25 % User time : 0.004 s
% 0.09/0.25 % System time : 0.002 s
% 0.09/0.25 % Total time : 0.006 s
% 0.09/0.25 % Maximum resident set size: 3636 pages
% 0.09/0.25
% 0.09/0.25 % -------------------------------------------------
% 0.09/0.25 % User time : 0.011 s
% 0.09/0.25 % System time : 0.011 s
% 0.09/0.25 % Total time : 0.022 s
% 0.09/0.25 % Maximum resident set size: 4608 pages
% 0.09/0.25 % E exiting
%------------------------------------------------------------------------------