%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR151^3 : TPTP v9.3.1. Released v5.3.0.
% 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 07:46:42 AM UTC 2026
% Result : ContradictoryAxioms 0.68s 0.97s
% Output : CNFRefutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 67 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 222 ( 29 ~; 25 |; 11 &; 152 @)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 16 usr; 6 con; 0-2 aty)
% Number of variables : 45 ( 0 ^; 43 !; 2 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_212,type,
instance_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).
thf(decl_223,type,
instance_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_235,type,
lAbstract_THFTYPE_i: $i ).
thf(decl_364,type,
lClass_THFTYPE_i: $i ).
thf(decl_976,type,
lReflexiveRelation_THFTYPE_i: $i ).
thf(decl_1031,type,
lSetOrClass_THFTYPE_i: $i ).
thf(decl_1128,type,
lTimeInterval_THFTYPE_i: $i ).
thf(decl_1224,type,
lWhenFn_THFTYPE_IiiI: $i > $i ).
thf(decl_1248,type,
located_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_1322,type,
overlapsTemporally_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_1402,type,
subclass_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_1428,type,
temporalPart_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_1431,type,
time_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_1462,type,
esk1_2: $i > $i > $i ).
thf(decl_1481,type,
esk20_1: $i > $i ).
thf(decl_1482,type,
esk21_1: $i > $i ).
thf(ax1542,axiom,
! [X586: $i] :
( ( instance_THFTYPE_IiioI @ X586 @ lAbstract_THFTYPE_i )
<=> ~ ? [X124: $i] :
( ( located_THFTYPE_IiioI @ X586 @ X124 )
| ( time_THFTYPE_IiioI @ X586 @ X124 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.sz5Zc66CjV/E---3.1_467136.p',ax1542) ).
thf(ax540,axiom,
! [X2: $i,X293: $i] :
( ( temporalPart_THFTYPE_IiioI @ X293 @ ( lWhenFn_THFTYPE_IiiI @ X2 ) )
<=> ( time_THFTYPE_IiioI @ X2 @ X293 ) ),
file('/export/starexec/sandbox/tmp/tmp.sz5Zc66CjV/E---3.1_467136.p',ax540) ).
thf(ax738,axiom,
! [X339: $i,X340: $i] :
( ( subclass_THFTYPE_IiioI @ X339 @ X340 )
=> ( ( instance_THFTYPE_IiioI @ X339 @ lSetOrClass_THFTYPE_i )
& ( instance_THFTYPE_IiioI @ X340 @ lSetOrClass_THFTYPE_i ) ) ),
file('/export/starexec/sandbox/tmp/tmp.sz5Zc66CjV/E---3.1_467136.p',ax738) ).
thf(ax183,axiom,
! [X118: $i,X119: $i] :
( ( overlapsTemporally_THFTYPE_IiioI @ X118 @ X119 )
<=> ? [X120: $i] :
( ( instance_THFTYPE_IiioI @ X120 @ lTimeInterval_THFTYPE_i )
& ( temporalPart_THFTYPE_IiioI @ X120 @ X118 )
& ( temporalPart_THFTYPE_IiioI @ X120 @ X119 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.sz5Zc66CjV/E---3.1_467136.p',ax183) ).
thf(ax875,axiom,
! [X186: $i,X78: $i > $i > $o] :
( ( instance_THFTYPE_IIiioIioI @ X78 @ lReflexiveRelation_THFTYPE_i )
<=> ( X78 @ X186 @ X186 ) ),
file('/export/starexec/sandbox/tmp/tmp.sz5Zc66CjV/E---3.1_467136.p',ax875) ).
thf(ax168,axiom,
subclass_THFTYPE_IiioI @ lClass_THFTYPE_i @ lSetOrClass_THFTYPE_i,
file('/export/starexec/sandbox/tmp/tmp.sz5Zc66CjV/E---3.1_467136.p',ax168) ).
thf(ax3486,axiom,
instance_THFTYPE_IIiioIioI @ overlapsTemporally_THFTYPE_IiioI @ lReflexiveRelation_THFTYPE_i,
file('/export/starexec/sandbox/tmp/tmp.sz5Zc66CjV/E---3.1_467136.p',ax3486) ).
thf(c_0_7,plain,
! [X2404: $i,X2405: $i,X2406: $i,X2407: $i] :
( ( ~ ( located_THFTYPE_IiioI @ X2404 @ X2405 )
| ~ ( instance_THFTYPE_IiioI @ X2404 @ lAbstract_THFTYPE_i ) )
& ( ~ ( time_THFTYPE_IiioI @ X2404 @ X2406 )
| ~ ( instance_THFTYPE_IiioI @ X2404 @ lAbstract_THFTYPE_i ) )
& ( ( located_THFTYPE_IiioI @ X2407 @ ( esk20_1 @ X2407 ) )
| ( time_THFTYPE_IiioI @ X2407 @ ( esk21_1 @ X2407 ) )
| ( instance_THFTYPE_IiioI @ X2407 @ lAbstract_THFTYPE_i ) ) ),
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)],[ax1542])])])])])])]) ).
thf(c_0_8,plain,
! [X2300: $i,X2301: $i] :
( ( ~ ( temporalPart_THFTYPE_IiioI @ X2301 @ ( lWhenFn_THFTYPE_IiiI @ X2300 ) )
| ( time_THFTYPE_IiioI @ X2300 @ X2301 ) )
& ( ~ ( time_THFTYPE_IiioI @ X2300 @ X2301 )
| ( temporalPart_THFTYPE_IiioI @ X2301 @ ( lWhenFn_THFTYPE_IiiI @ X2300 ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax540])])]) ).
thf(c_0_9,plain,
! [X3532: $i,X3533: $i] :
( ( ( instance_THFTYPE_IiioI @ X3532 @ lSetOrClass_THFTYPE_i )
| ~ ( subclass_THFTYPE_IiioI @ X3532 @ X3533 ) )
& ( ( instance_THFTYPE_IiioI @ X3533 @ lSetOrClass_THFTYPE_i )
| ~ ( subclass_THFTYPE_IiioI @ X3532 @ X3533 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax738])])])]) ).
thf(c_0_10,plain,
! [X2: $i,X1: $i] :
( ~ ( time_THFTYPE_IiioI @ X1 @ X2 )
| ~ ( instance_THFTYPE_IiioI @ X1 @ lAbstract_THFTYPE_i ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_11,plain,
! [X1: $i,X2: $i] :
( ( time_THFTYPE_IiioI @ X2 @ X1 )
| ~ ( temporalPart_THFTYPE_IiioI @ X1 @ ( lWhenFn_THFTYPE_IiiI @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_12,plain,
! [X2287: $i,X2288: $i,X2290: $i,X2291: $i,X2292: $i] :
( ( ( instance_THFTYPE_IiioI @ ( esk1_2 @ X2287 @ X2288 ) @ lTimeInterval_THFTYPE_i )
| ~ ( overlapsTemporally_THFTYPE_IiioI @ X2287 @ X2288 ) )
& ( ( temporalPart_THFTYPE_IiioI @ ( esk1_2 @ X2287 @ X2288 ) @ X2287 )
| ~ ( overlapsTemporally_THFTYPE_IiioI @ X2287 @ X2288 ) )
& ( ( temporalPart_THFTYPE_IiioI @ ( esk1_2 @ X2287 @ X2288 ) @ X2288 )
| ~ ( overlapsTemporally_THFTYPE_IiioI @ X2287 @ X2288 ) )
& ( ~ ( instance_THFTYPE_IiioI @ X2292 @ lTimeInterval_THFTYPE_i )
| ~ ( temporalPart_THFTYPE_IiioI @ X2292 @ X2290 )
| ~ ( temporalPart_THFTYPE_IiioI @ X2292 @ X2291 )
| ( overlapsTemporally_THFTYPE_IiioI @ X2290 @ X2291 ) ) ),
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)],[ax183])])])])])])]) ).
thf(c_0_13,plain,
! [X2961: $i,X2962: $i > $i > $o] :
( ( ~ ( instance_THFTYPE_IIiioIioI @ X2962 @ lReflexiveRelation_THFTYPE_i )
| ( X2962 @ X2961 @ X2961 ) )
& ( ~ ( X2962 @ X2961 @ X2961 )
| ( instance_THFTYPE_IIiioIioI @ X2962 @ lReflexiveRelation_THFTYPE_i ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax875])])]) ).
thf(c_0_14,plain,
! [X2: $i,X1: $i] :
( ( instance_THFTYPE_IiioI @ X1 @ lSetOrClass_THFTYPE_i )
| ~ ( subclass_THFTYPE_IiioI @ X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_15,plain,
subclass_THFTYPE_IiioI @ lClass_THFTYPE_i @ lSetOrClass_THFTYPE_i,
inference(split_conjunct,[status(thm)],[ax168]) ).
thf(c_0_16,plain,
! [X1: $i,X2: $i] :
( ~ ( temporalPart_THFTYPE_IiioI @ X1 @ ( lWhenFn_THFTYPE_IiiI @ X2 ) )
| ~ ( instance_THFTYPE_IiioI @ X2 @ lAbstract_THFTYPE_i ) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
thf(c_0_17,plain,
! [X1: $i,X2: $i] :
( ( temporalPart_THFTYPE_IiioI @ ( esk1_2 @ X1 @ X2 ) @ X2 )
| ~ ( overlapsTemporally_THFTYPE_IiioI @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_18,plain,
! [X1: $i,X7: $i > $i > $o] :
( ( X7 @ X1 @ X1 )
| ~ ( instance_THFTYPE_IIiioIioI @ X7 @ lReflexiveRelation_THFTYPE_i ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_19,plain,
instance_THFTYPE_IIiioIioI @ overlapsTemporally_THFTYPE_IiioI @ lReflexiveRelation_THFTYPE_i,
inference(split_conjunct,[status(thm)],[ax3486]) ).
thf(c_0_20,plain,
! [X7: $i > $i > $o,X1: $i] :
( ( instance_THFTYPE_IIiioIioI @ X7 @ lReflexiveRelation_THFTYPE_i )
| ~ ( X7 @ X1 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_21,plain,
instance_THFTYPE_IiioI @ lSetOrClass_THFTYPE_i @ lSetOrClass_THFTYPE_i,
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
thf(c_0_22,plain,
! [X1: $i,X2: $i] :
( ~ ( overlapsTemporally_THFTYPE_IiioI @ X1 @ ( lWhenFn_THFTYPE_IiiI @ X2 ) )
| ~ ( instance_THFTYPE_IiioI @ X2 @ lAbstract_THFTYPE_i ) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
thf(c_0_23,plain,
! [X1: $i] : ( overlapsTemporally_THFTYPE_IiioI @ X1 @ X1 ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
thf(c_0_24,plain,
instance_THFTYPE_IIiioIioI @ instance_THFTYPE_IiioI @ lReflexiveRelation_THFTYPE_i,
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
thf(c_0_25,plain,
! [X1: $i] :
~ ( instance_THFTYPE_IiioI @ X1 @ lAbstract_THFTYPE_i ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
thf(c_0_26,plain,
! [X1: $i] : ( instance_THFTYPE_IiioI @ X1 @ X1 ),
inference(spm,[status(thm)],[c_0_18,c_0_24]) ).
thf(c_0_27,plain,
$false,
inference(spm,[status(thm)],[c_0_25,c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR151^3 : TPTP v9.3.1. Released v5.3.0.
% 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 17:57:18 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running higher-order theorem proving
% 0.64/0.73 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.sz5Zc66CjV/E---3.1_467136.p
% 0.68/0.97 % Version: 3.5.1-ho
% 0.68/0.97 % Preprocessing class: HMLLSMSLSSMCHFA.
% 0.68/0.97 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.68/0.97 % Starting new_ho_10 with 1500s (5) cores
% 0.68/0.97 % Starting sh5l with 300s (1) cores
% 0.68/0.97 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.68/0.97 % Starting lpo1_def_fix with 300s (1) cores
% 0.68/0.97 % ehoh_best_sine_rwall with pid 467330 completed with status 0
% 0.68/0.97 % Result found by ehoh_best_sine_rwall
% 0.68/0.97 % Preprocessing class: HMLLSMSLSSMCHFA.
% 0.68/0.97 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.68/0.97 % Starting new_ho_10 with 1500s (5) cores
% 0.68/0.97 % Starting sh5l with 300s (1) cores
% 0.68/0.97 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.68/0.97 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.68/0.97 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.68/0.97 % Search class: HGHSM-SMLM31-MHFFFFBN
% 0.68/0.97 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.68/0.97 % Starting SubtermCWHack with 28s (1) cores
% 0.68/0.97 % SubtermCWHack with pid 467373 completed with status 0
% 0.68/0.97 % Result found by SubtermCWHack
% 0.68/0.97 % Preprocessing class: HMLLSMSLSSMCHFA.
% 0.68/0.97 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.68/0.97 % Starting new_ho_10 with 1500s (5) cores
% 0.68/0.97 % Starting sh5l with 300s (1) cores
% 0.68/0.97 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.68/0.97 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.68/0.97 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.68/0.97 % Search class: HGHSM-SMLM31-MHFFFFBN
% 0.68/0.97 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.68/0.97 % Starting SubtermCWHack with 28s (1) cores
% 0.68/0.97 % Preprocessing time : 0.018 s
% 0.68/0.97
% 0.68/0.97 % Proof found!
% 0.68/0.97 % SZS status ContradictoryAxioms
% 0.68/0.97 % SZS output start CNFRefutation
% See solution above
% 0.68/0.97 % Parsed axioms : 5014
% 0.68/0.97 % Removed by relevancy pruning/SinE : 3073
% 0.68/0.97 % Initial clauses : 2829
% 0.68/0.97 % Removed in clause preprocessing : 181
% 0.68/0.97 % Initial clauses in saturation : 2648
% 0.68/0.97 % Processed clauses : 2521
% 0.68/0.97 % ...of these trivial : 280
% 0.68/0.97 % ...subsumed : 25
% 0.68/0.97 % ...remaining for further processing : 2216
% 0.68/0.97 % Other redundant clauses eliminated : 13
% 0.68/0.97 % Clauses deleted for lack of memory : 0
% 0.68/0.97 % Backward-subsumed : 12
% 0.68/0.97 % Backward-rewritten : 3
% 0.68/0.97 % Generated clauses : 921
% 0.68/0.97 % ...of the previous two non-redundant : 806
% 0.68/0.97 % ...aggressively subsumed : 0
% 0.68/0.97 % Contextual simplify-reflections : 2
% 0.68/0.97 % Paramodulations : 904
% 0.68/0.97 % Factorizations : 1
% 0.68/0.97 % NegExts : 0
% 0.68/0.97 % Equation resolutions : 16
% 0.68/0.97 % Disequality decompositions : 0
% 0.68/0.97 % Total rewrite steps : 395
% 0.68/0.97 % ...of those cached : 236
% 0.68/0.97 % Propositional unsat checks : 0
% 0.68/0.97 % Propositional check models : 0
% 0.68/0.97 % Propositional check unsatisfiable : 0
% 0.68/0.97 % Propositional clauses : 0
% 0.68/0.97 % Propositional clauses after purity: 0
% 0.68/0.97 % Propositional unsat core size : 0
% 0.68/0.97 % Propositional preprocessing time : 0.000
% 0.68/0.97 % Propositional encoding time : 0.000
% 0.68/0.97 % Propositional solver time : 0.000
% 0.68/0.97 % Success case prop preproc time : 0.000
% 0.68/0.97 % Success case prop encoding time : 0.000
% 0.68/0.97 % Success case prop solver time : 0.000
% 0.68/0.97 % Current number of processed clauses : 2188
% 0.68/0.97 % Positive orientable unit clauses : 1681
% 0.68/0.97 % Positive unorientable unit clauses: 0
% 0.68/0.97 % Negative unit clauses : 35
% 0.68/0.97 % Non-unit-clauses : 472
% 0.68/0.97 % Current number of unprocessed clauses: 930
% 0.68/0.97 % ...number of literals in the above : 3772
% 0.68/0.97 % Current number of archived formulas : 0
% 0.68/0.97 % Current number of archived clauses : 15
% 0.68/0.97 % Clause-clause subsumption calls (NU) : 35110
% 0.68/0.97 % Rec. Clause-clause subsumption calls : 29011
% 0.68/0.97 % Non-unit clause-clause subsumptions : 18
% 0.68/0.97 % Unit Clause-clause subsumption calls : 3547
% 0.68/0.97 % Rewrite failures with RHS unbound : 0
% 0.68/0.97 % BW rewrite match attempts : 497
% 0.68/0.97 % BW rewrite match successes : 7
% 0.68/0.97 % Condensation attempts : 0
% 0.68/0.97 % Condensation successes : 0
% 0.68/0.97 % Termbank termtop insertions : 179862
% 0.68/0.97 % Search garbage collected termcells : 36260
% 0.68/0.97
% 0.68/0.97 % -------------------------------------------------
% 0.68/0.97 % User time : 0.163 s
% 0.68/0.97 % System time : 0.018 s
% 0.68/0.97 % Total time : 0.181 s
% 0.68/0.97 % Maximum resident set size: 15792 pages
% 0.68/0.97
% 0.68/0.97 % -------------------------------------------------
% 0.68/0.97 % User time : 0.206 s
% 0.68/0.97 % System time : 0.025 s
% 0.68/0.97 % Total time : 0.231 s
% 0.68/0.97 % Maximum resident set size: 8704 pages
% 0.68/0.97 % E exiting
%------------------------------------------------------------------------------