%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR141^2 : 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 : n020.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 07:46:39 AM UTC 2026
% Result : Theorem 0.24s 0.31s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 85 ( 0 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 243 ( 37 ~; 25 |; 10 &; 167 @)
% ( 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 : 21 ( 0 ^; 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
agent_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_26,type,
connected_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_43,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(decl_52,type,
instance_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_60,type,
lCADE_BM_THFTYPE_i: $i ).
thf(decl_70,type,
lMariaPaola_THFTYPE_i: $i ).
thf(decl_72,type,
lMeeting_THFTYPE_i: $i ).
thf(decl_74,type,
lNear_THFTYPE_i: $i ).
thf(decl_80,type,
lReiner_THFTYPE_i: $i ).
thf(decl_89,type,
lWhenFn_THFTYPE_IiiI: $i > $i ).
thf(decl_97,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.SEeqb2zgc4/E---3.1_1391291.p',con) ).
thf(ax_058,axiom,
! [X12: $i,X13: $i] :
( ( orientation_THFTYPE_IiiioI @ X12 @ X13 @ lNear_THFTYPE_i )
=> ~ ( connected_THFTYPE_IiioI @ X12 @ X13 ) ),
file('/export/starexec/sandbox2/tmp/tmp.SEeqb2zgc4/E---3.1_1391291.p',ax_058) ).
thf(ax_001,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.SEeqb2zgc4/E---3.1_1391291.p',ax_001) ).
thf(ax_160,axiom,
holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true,
file('/export/starexec/sandbox2/tmp/tmp.SEeqb2zgc4/E---3.1_1391291.p',ax_160) ).
thf(ax_022,axiom,
agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i,
file('/export/starexec/sandbox2/tmp/tmp.SEeqb2zgc4/E---3.1_1391291.p',ax_022) ).
thf(ax_067,axiom,
instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i,
file('/export/starexec/sandbox2/tmp/tmp.SEeqb2zgc4/E---3.1_1391291.p',ax_067) ).
thf(ax_025,axiom,
agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i,
file('/export/starexec/sandbox2/tmp/tmp.SEeqb2zgc4/E---3.1_1391291.p',ax_025) ).
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,plain,
! [X12: $i,X13: $i] :
( ( orientation_THFTYPE_IiiioI @ X12 @ X13 @ lNear_THFTYPE_i )
=> ~ ( connected_THFTYPE_IiioI @ X12 @ X13 ) ),
inference(fof_simplification,[status(thm)],[ax_058]) ).
thf(c_0_11,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_001]) ).
thf(c_0_12,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_13,plain,
holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true,
inference(split_conjunct,[status(thm)],[ax_160]) ).
thf(c_0_14,plain,
! [X134: $i,X135: $i] :
( ~ ( orientation_THFTYPE_IiiioI @ X134 @ X135 @ lNear_THFTYPE_i )
| ~ ( connected_THFTYPE_IiioI @ X134 @ X135 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
thf(c_0_15,plain,
! [X126: $i,X127: $i,X128: $i] :
( ( ~ ( orientation_THFTYPE_IiiioI @ X128 @ X127 @ lNear_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ X126 ) @ $true )
| ~ ( instance_THFTYPE_IiioI @ X126 @ lMeeting_THFTYPE_i )
| ~ ( agent_THFTYPE_IiioI @ X126 @ X128 )
| ~ ( agent_THFTYPE_IiioI @ X126 @ X127 ) )
& ( ( orientation_THFTYPE_IiiioI @ X128 @ X127 @ lNear_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ X126 ) @ $false )
| ~ ( instance_THFTYPE_IiioI @ X126 @ lMeeting_THFTYPE_i )
| ~ ( agent_THFTYPE_IiioI @ X126 @ X128 )
| ~ ( agent_THFTYPE_IiioI @ X126 @ X127 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).
thf(c_0_16,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_17,negated_conjecture,
connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]) ).
thf(c_0_18,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_14]) ).
thf(c_0_19,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_15]) ).
thf(c_0_20,plain,
agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i,
inference(split_conjunct,[status(thm)],[ax_022]) ).
thf(c_0_21,plain,
instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i,
inference(split_conjunct,[status(thm)],[ax_067]) ).
thf(c_0_22,negated_conjecture,
~ ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ~ $true ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]) ).
thf(c_0_23,negated_conjecture,
~ ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ),
inference(spm,[status(thm)],[c_0_18,c_0_17]) ).
thf(c_0_24,plain,
! [X1: $i] :
( ( orientation_THFTYPE_IiiioI @ X1 @ lReiner_THFTYPE_i @ lNear_THFTYPE_i )
| ~ ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ X1 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),c_0_22]) ).
thf(c_0_25,plain,
agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i,
inference(split_conjunct,[status(thm)],[ax_025]) ).
thf(c_0_26,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR141^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n020.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 17:57:19 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running higher-order theorem proving
% 0.10/0.27 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.SEeqb2zgc4/E---3.1_1391291.p
% 0.24/0.31 % Version: 3.5.1-ho
% 0.24/0.31 % Preprocessing class: HSLSSMSMSSSNHFA.
% 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 new_ho_10_cnf2 with 300s (1) cores
% 0.24/0.31 % Starting full_lambda_6 with 300s (1) cores
% 0.24/0.31 % Starting full_lambda_9 with 300s (1) cores
% 0.24/0.31 % full_lambda_9 with pid 1391307 completed with status 0
% 0.24/0.31 % Result found by full_lambda_9
% 0.24/0.31 % Preprocessing class: HSLSSMSMSSSNHFA.
% 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 new_ho_10_cnf2 with 300s (1) cores
% 0.24/0.31 % Starting full_lambda_6 with 300s (1) cores
% 0.24/0.31 % Starting full_lambda_9 with 300s (1) cores
% 0.24/0.31 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,4,,3,20000,3.0,true))
% 0.24/0.31 % SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 0.24/0.31 % Search class: HGHSF-FFMM11-SHFFFFBN
% 0.24/0.31 % partial match(1): HGHSF-FFMM21-SHFFFFBN
% 0.24/0.31 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.31 % Starting SubtermCWHack with 28s (1) cores
% 0.24/0.31 % SubtermCWHack with pid 1391308 completed with status 0
% 0.24/0.31 % Result found by SubtermCWHack
% 0.24/0.31 % Preprocessing class: HSLSSMSMSSSNHFA.
% 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 new_ho_10_cnf2 with 300s (1) cores
% 0.24/0.31 % Starting full_lambda_6 with 300s (1) cores
% 0.24/0.31 % Starting full_lambda_9 with 300s (1) cores
% 0.24/0.31 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,4,,3,20000,3.0,true))
% 0.24/0.31 % SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 0.24/0.31 % Search class: HGHSF-FFMM11-SHFFFFBN
% 0.24/0.31 % partial match(1): HGHSF-FFMM21-SHFFFFBN
% 0.24/0.31 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.31 % Starting SubtermCWHack with 28s (1) cores
% 0.24/0.31 % Preprocessing time : 0.003 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 : 252
% 0.24/0.31 % Removed by relevancy pruning/SinE : 108
% 0.24/0.31 % Initial clauses : 166
% 0.24/0.31 % Removed in clause preprocessing : 6
% 0.24/0.31 % Initial clauses in saturation : 160
% 0.24/0.31 % Processed clauses : 250
% 0.24/0.31 % ...of these trivial : 3
% 0.24/0.31 % ...subsumed : 6
% 0.24/0.31 % ...remaining for further processing : 241
% 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 : 1
% 0.24/0.31 % Generated clauses : 131
% 0.24/0.31 % ...of the previous two non-redundant : 117
% 0.24/0.31 % ...aggressively subsumed : 0
% 0.24/0.31 % Contextual simplify-reflections : 0
% 0.24/0.31 % Paramodulations : 130
% 0.24/0.31 % Factorizations : 0
% 0.24/0.31 % NegExts : 0
% 0.24/0.31 % Equation resolutions : 1
% 0.24/0.31 % Disequality decompositions : 0
% 0.24/0.31 % Total rewrite steps : 19
% 0.24/0.31 % ...of those cached : 4
% 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 : 240
% 0.24/0.31 % Positive orientable unit clauses : 127
% 0.24/0.31 % Positive unorientable unit clauses: 0
% 0.24/0.31 % Negative unit clauses : 2
% 0.24/0.31 % Non-unit-clauses : 111
% 0.24/0.31 % Current number of unprocessed clauses: 27
% 0.24/0.31 % ...number of literals in the above : 106
% 0.24/0.31 % Current number of archived formulas : 0
% 0.24/0.31 % Current number of archived clauses : 1
% 0.24/0.31 % Clause-clause subsumption calls (NU) : 1465
% 0.24/0.31 % Rec. Clause-clause subsumption calls : 1122
% 0.24/0.31 % Non-unit clause-clause subsumptions : 5
% 0.24/0.31 % Unit Clause-clause subsumption calls : 21
% 0.24/0.31 % Rewrite failures with RHS unbound : 0
% 0.24/0.31 % BW rewrite match attempts : 3
% 0.24/0.31 % BW rewrite match successes : 1
% 0.24/0.31 % Condensation attempts : 0
% 0.24/0.31 % Condensation successes : 0
% 0.24/0.31 % Termbank termtop insertions : 9470
% 0.24/0.31 % Search garbage collected termcells : 1243
% 0.24/0.31
% 0.24/0.31 % -------------------------------------------------
% 0.24/0.31 % User time : 0.016 s
% 0.24/0.31 % System time : 0.004 s
% 0.24/0.31 % Total time : 0.019 s
% 0.24/0.31 % Maximum resident set size: 4084 pages
% 0.24/0.31
% 0.24/0.31 % -------------------------------------------------
% 0.24/0.31 % User time : 0.021 s
% 0.24/0.31 % System time : 0.008 s
% 0.24/0.31 % Total time : 0.029 s
% 0.24/0.31 % Maximum resident set size: 5120 pages
% 0.24/0.31 % E exiting
%------------------------------------------------------------------------------