%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR152^3 : 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 : n008.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 : Theorem 1.70s 1.28s
% Output : CNFRefutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 81 ( 6 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 164 ( 26 ~; 22 |; 9 &; 104 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 7 con; 0-2 aty)
% Number of variables : 6 ( 0 ^; 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_230,type,
knows_THFTYPE_IiooI: $i > $o > $o ).
thf(decl_1452,type,
lBill_THFTYPE_i: $i ).
thf(decl_1453,type,
lChris_THFTYPE_i: $i ).
thf(decl_1454,type,
lMary_THFTYPE_i: $i ).
thf(decl_1455,type,
lSue_THFTYPE_i: $i ).
thf(decl_1456,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_1467,type,
esk2_0: $i ).
thf(con,conjecture,
knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox/tmp/tmp.uOVjP18Dbe/E---3.1_3510735.p',con) ).
thf(ax,axiom,
knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( lChris_THFTYPE_i = lChris_THFTYPE_i ),
file('/export/starexec/sandbox/tmp/tmp.uOVjP18Dbe/E---3.1_3510735.p',ax) ).
thf(ax_002,axiom,
( knows_THFTYPE_IiooI @ lChris_THFTYPE_i
@ ! [X339: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X339 )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X339 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.uOVjP18Dbe/E---3.1_3510735.p',ax_002) ).
thf(ax_001,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/tmp/tmp.uOVjP18Dbe/E---3.1_3510735.p',ax_001) ).
thf(c_0_4,negated_conjecture,
~ ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_5,axiom,
( ( ( lChris_THFTYPE_i != lChris_THFTYPE_i )
| ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $true ) )
& ( ( lChris_THFTYPE_i = lChris_THFTYPE_i )
| ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $false ) ) ),
inference(fool_unroll,[status(thm)],[ax]) ).
thf(c_0_6,negated_conjecture,
~ ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $true ) )
& ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $false ) ) ),
inference(fool_unroll,[status(thm)],[c_0_4]) ).
thf(c_0_7,plain,
( ( ( lChris_THFTYPE_i != lChris_THFTYPE_i )
| ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $true ) )
& ( ( lChris_THFTYPE_i = lChris_THFTYPE_i )
| ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $false ) ) ),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
thf(c_0_8,axiom,
( ( ~ ! [X339: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X339 )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X339 ) )
| ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $true ) )
& ( ! [X339: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X339 )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X339 ) )
| ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $false ) ) ),
inference(fool_unroll,[status(thm)],[ax_002]) ).
thf(c_0_9,negated_conjecture,
( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
& ( ~ ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $false )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
& ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $true ) )
& ( ~ ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $false )
| ~ ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $true ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
thf(c_0_10,plain,
( ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $true )
| ( lChris_THFTYPE_i != lChris_THFTYPE_i ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_11,plain,
! [X2341: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ esk2_0 )
| ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $true ) )
& ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ esk2_0 )
| ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $true ) )
& ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X2341 )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X2341 )
| ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $false ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])]) ).
thf(c_0_12,negated_conjecture,
( ~ ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ~ $true )
| ~ ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_13,plain,
knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $true,
inference(cn,[status(thm)],[c_0_10]) ).
thf(c_0_14,plain,
! [X1: $i] :
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 )
| ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ~ $true )
| ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_15,negated_conjecture,
~ ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ~ $true ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]) ).
thf(c_0_16,negated_conjecture,
( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_17,plain,
! [X1: $i] :
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 )
| ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 ) ),
inference(sr,[status(thm)],[c_0_14,c_0_15]) ).
thf(c_0_18,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(split_conjunct,[status(thm)],[ax_001]) ).
thf(c_0_19,negated_conjecture,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_13])]) ).
thf(c_0_20,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR152^3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n008.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Sep 29 17:58:39 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running higher-order theorem proving
% 0.66/0.78 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.uOVjP18Dbe/E---3.1_3510735.p
% 1.70/1.28 % Version: 3.5.1-ho
% 1.70/1.28 % Preprocessing class: HMLLSMSLSSMCHFA.
% 1.70/1.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.70/1.28 % Starting new_ho_10 with 1500s (5) cores
% 1.70/1.28 % Starting sh5l with 300s (1) cores
% 1.70/1.28 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 1.70/1.28 % Starting lpo1_def_fix with 300s (1) cores
% 1.70/1.28 % ehoh_best_sine_rwall with pid 3510965 completed with status 0
% 1.70/1.28 % Result found by ehoh_best_sine_rwall
% 1.70/1.28 % Preprocessing class: HMLLSMSLSSMCHFA.
% 1.70/1.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.70/1.28 % Starting new_ho_10 with 1500s (5) cores
% 1.70/1.28 % Starting sh5l with 300s (1) cores
% 1.70/1.28 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 1.70/1.28 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 1.70/1.28 % SinE strategy is gf500_gu_R04_F100_L20000
% 1.70/1.28 % Search class: HGHSM-SMLM31-DHFFFFBN
% 1.70/1.28 % partial match(1): HGHSM-SMLM31-MHFFFFBN
% 1.70/1.28 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1.70/1.28 % Starting SubtermCWHack with 28s (1) cores
% 1.70/1.28 % SubtermCWHack with pid 3510969 completed with status 0
% 1.70/1.28 % Result found by SubtermCWHack
% 1.70/1.28 % Preprocessing class: HMLLSMSLSSMCHFA.
% 1.70/1.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.70/1.28 % Starting new_ho_10 with 1500s (5) cores
% 1.70/1.28 % Starting sh5l with 300s (1) cores
% 1.70/1.28 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 1.70/1.28 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 1.70/1.28 % SinE strategy is gf500_gu_R04_F100_L20000
% 1.70/1.28 % Search class: HGHSM-SMLM31-DHFFFFBN
% 1.70/1.28 % partial match(1): HGHSM-SMLM31-MHFFFFBN
% 1.70/1.28 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1.70/1.28 % Starting SubtermCWHack with 28s (1) cores
% 1.70/1.28 % Preprocessing time : 0.034 s
% 1.70/1.28
% 1.70/1.28 % Proof found!
% 1.70/1.28 % SZS status Theorem
% 1.70/1.28 % SZS output start CNFRefutation
% See solution above
% 1.70/1.28 % Parsed axioms : 5016
% 1.70/1.28 % Removed by relevancy pruning/SinE : 2881
% 1.70/1.28 % Initial clauses : 3251
% 1.70/1.28 % Removed in clause preprocessing : 237
% 1.70/1.28 % Initial clauses in saturation : 3014
% 1.70/1.28 % Processed clauses : 2926
% 1.70/1.28 % ...of these trivial : 414
% 1.70/1.28 % ...subsumed : 15
% 1.70/1.28 % ...remaining for further processing : 2497
% 1.70/1.28 % Other redundant clauses eliminated : 7
% 1.70/1.28 % Clauses deleted for lack of memory : 0
% 1.70/1.28 % Backward-subsumed : 1
% 1.70/1.28 % Backward-rewritten : 2
% 1.70/1.28 % Generated clauses : 1130
% 1.70/1.28 % ...of the previous two non-redundant : 1004
% 1.70/1.28 % ...aggressively subsumed : 0
% 1.70/1.28 % Contextual simplify-reflections : 0
% 1.70/1.28 % Paramodulations : 1120
% 1.70/1.28 % Factorizations : 1
% 1.70/1.28 % NegExts : 0
% 1.70/1.28 % Equation resolutions : 9
% 1.70/1.28 % Disequality decompositions : 0
% 1.70/1.28 % Total rewrite steps : 535
% 1.70/1.28 % ...of those cached : 332
% 1.70/1.28 % Propositional unsat checks : 0
% 1.70/1.28 % Propositional check models : 0
% 1.70/1.28 % Propositional check unsatisfiable : 0
% 1.70/1.28 % Propositional clauses : 0
% 1.70/1.28 % Propositional clauses after purity: 0
% 1.70/1.28 % Propositional unsat core size : 0
% 1.70/1.28 % Propositional preprocessing time : 0.000
% 1.70/1.28 % Propositional encoding time : 0.000
% 1.70/1.28 % Propositional solver time : 0.000
% 1.70/1.28 % Success case prop preproc time : 0.000
% 1.70/1.28 % Success case prop encoding time : 0.000
% 1.70/1.28 % Success case prop solver time : 0.000
% 1.70/1.28 % Current number of processed clauses : 2487
% 1.70/1.28 % Positive orientable unit clauses : 1987
% 1.70/1.28 % Positive unorientable unit clauses: 0
% 1.70/1.28 % Negative unit clauses : 24
% 1.70/1.28 % Non-unit-clauses : 476
% 1.70/1.28 % Current number of unprocessed clauses: 1092
% 1.70/1.28 % ...number of literals in the above : 4413
% 1.70/1.28 % Current number of archived formulas : 0
% 1.70/1.28 % Current number of archived clauses : 3
% 1.70/1.28 % Clause-clause subsumption calls (NU) : 30154
% 1.70/1.28 % Rec. Clause-clause subsumption calls : 26571
% 1.70/1.28 % Non-unit clause-clause subsumptions : 11
% 1.70/1.28 % Unit Clause-clause subsumption calls : 11408
% 1.70/1.28 % Rewrite failures with RHS unbound : 0
% 1.70/1.28 % BW rewrite match attempts : 4
% 1.70/1.28 % BW rewrite match successes : 3
% 1.70/1.28 % Condensation attempts : 0
% 1.70/1.28 % Condensation successes : 0
% 1.70/1.28 % Termbank termtop insertions : 196246
% 1.70/1.28 % Search garbage collected termcells : 38205
% 1.70/1.28
% 1.70/1.28 % -------------------------------------------------
% 1.70/1.28 % User time : 0.323 s
% 1.70/1.28 % System time : 0.046 s
% 1.70/1.28 % Total time : 0.369 s
% 1.70/1.28 % Maximum resident set size: 16052 pages
% 1.70/1.28
% 1.70/1.28 % -------------------------------------------------
% 1.70/1.28 % User time : 0.417 s
% 1.70/1.28 % System time : 0.057 s
% 1.70/1.28 % Total time : 0.474 s
% 1.70/1.28 % Maximum resident set size: 9216 pages
% 1.70/1.28 % E exiting
%------------------------------------------------------------------------------