%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP123^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 08:04:26 AM UTC 2026
% Result : Theorem 0.25s 0.32s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 45 ( 6 equ; 0 cnn)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 202 ( 19 ~; 12 |; 3 &; 162 @)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 0 ^; 36 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_50,type,
inf: a > a > a ).
thf(decl_51,type,
less: a > a > $o ).
thf(decl_52,type,
less_eq: a > a > $o ).
thf(decl_53,type,
sup: a > a > a ).
thf(decl_54,type,
x: a ).
thf(decl_55,type,
y: a ).
thf(decl_56,type,
z: a ).
thf(conj_4,conjecture,
less_eq @ x @ ( sup @ ( inf @ y @ ( sup @ x @ z ) ) @ z ),
file('/export/starexec/sandbox2/tmp/tmp.Kxa7TNu1tx/E---3.1_1230853.p',conj_4) ).
thf(fact_129_local_Osup_Ostrict__boundedE,axiom,
! [X3: a,X9: a,X4: a] :
( ( less @ ( sup @ X3 @ X9 ) @ X4 )
=> ~ ( ( less @ X3 @ X4 )
=> ~ ( less @ X9 @ X4 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Kxa7TNu1tx/E---3.1_1230853.p',fact_129_local_Osup_Ostrict__boundedE) ).
thf(fact_39_local_Osup_Ocommute,axiom,
! [X4: a,X3: a] :
( ( sup @ X4 @ X3 )
= ( sup @ X3 @ X4 ) ),
file('/export/starexec/sandbox2/tmp/tmp.Kxa7TNu1tx/E---3.1_1230853.p',fact_39_local_Osup_Ocommute) ).
thf(fact_50_local_Odual__order_Oorder__iff__strict,axiom,
! [X3: a,X4: a] :
( ( less_eq @ X3 @ X4 )
<=> ( ( less @ X3 @ X4 )
| ( X4 = X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Kxa7TNu1tx/E---3.1_1230853.p',fact_50_local_Odual__order_Oorder__iff__strict) ).
thf(fact_128_local_Oless__supI2,axiom,
! [X1: a,X3: a,X4: a] :
( ( less @ X1 @ X3 )
=> ( less @ X1 @ ( sup @ X4 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Kxa7TNu1tx/E---3.1_1230853.p',fact_128_local_Oless__supI2) ).
thf(conj_3,hypothesis,
less @ ( sup @ x @ ( inf @ y @ z ) ) @ ( inf @ y @ ( sup @ x @ z ) ),
file('/export/starexec/sandbox2/tmp/tmp.Kxa7TNu1tx/E---3.1_1230853.p',conj_3) ).
thf(c_0_6,negated_conjecture,
~ ( less_eq @ x @ ( sup @ ( inf @ y @ ( sup @ x @ z ) ) @ z ) ),
inference(assume_negation,[status(cth)],[conj_4]) ).
thf(c_0_7,negated_conjecture,
~ ( less_eq @ x @ ( sup @ ( inf @ y @ ( sup @ x @ z ) ) @ z ) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
thf(c_0_8,plain,
! [X3: a,X9: a,X4: a] :
( ( less @ ( sup @ X3 @ X9 ) @ X4 )
=> ~ ( ( less @ X3 @ X4 )
=> ~ ( less @ X9 @ X4 ) ) ),
inference(fof_simplification,[status(thm)],[fact_129_local_Osup_Ostrict__boundedE]) ).
thf(c_0_9,negated_conjecture,
~ ( less_eq @ x @ ( sup @ ( inf @ y @ ( sup @ x @ z ) ) @ z ) ),
inference(fof_nnf,[status(thm)],[c_0_7]) ).
thf(c_0_10,plain,
! [X435: a,X436: a] :
( ( sup @ X435 @ X436 )
= ( sup @ X436 @ X435 ) ),
inference(variable_rename,[status(thm)],[fact_39_local_Osup_Ocommute]) ).
thf(c_0_11,plain,
! [X605: a,X606: a] :
( ( ~ ( less_eq @ X605 @ X606 )
| ( less @ X605 @ X606 )
| ( X606 = X605 ) )
& ( ~ ( less @ X605 @ X606 )
| ( less_eq @ X605 @ X606 ) )
& ( ( X606 != X605 )
| ( less_eq @ X605 @ X606 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_50_local_Odual__order_Oorder__iff__strict])])])]) ).
thf(c_0_12,plain,
! [X671: a,X672: a,X673: a] :
( ~ ( less @ X671 @ X672 )
| ( less @ X671 @ ( sup @ X673 @ X672 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_128_local_Oless__supI2])])]) ).
thf(c_0_13,plain,
! [X674: a,X675: a,X676: a] :
( ( ( less @ X674 @ X676 )
| ~ ( less @ ( sup @ X674 @ X675 ) @ X676 ) )
& ( ( less @ X675 @ X676 )
| ~ ( less @ ( sup @ X674 @ X675 ) @ X676 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
thf(c_0_14,negated_conjecture,
~ ( less_eq @ x @ ( sup @ ( inf @ y @ ( sup @ x @ z ) ) @ z ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_15,plain,
! [X2: a,X1: a] :
( ( sup @ X1 @ X2 )
= ( sup @ X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_16,plain,
! [X1: a,X2: a] :
( ( less_eq @ X1 @ X2 )
| ~ ( less @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_17,plain,
! [X1: a,X3: a,X2: a] :
( ( less @ X1 @ ( sup @ X3 @ X2 ) )
| ~ ( less @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_18,plain,
! [X1: a,X3: a,X2: a] :
( ( less @ X1 @ X2 )
| ~ ( less @ ( sup @ X1 @ X3 ) @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_19,hypothesis,
less @ ( sup @ x @ ( inf @ y @ z ) ) @ ( inf @ y @ ( sup @ x @ z ) ),
inference(split_conjunct,[status(thm)],[conj_3]) ).
thf(c_0_20,negated_conjecture,
~ ( less_eq @ x @ ( sup @ z @ ( inf @ y @ ( sup @ x @ z ) ) ) ),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
thf(c_0_21,plain,
! [X1: a,X2: a,X3: a] :
( ( less_eq @ X1 @ ( sup @ X2 @ X3 ) )
| ~ ( less @ X1 @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
thf(c_0_22,hypothesis,
less @ x @ ( inf @ y @ ( sup @ x @ z ) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
thf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP123^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n006.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 19:56:39 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.08/0.26 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.Kxa7TNu1tx/E---3.1_1230853.p
% 0.25/0.32 % Version: 3.5.1-ho
% 0.25/0.32 % Preprocessing class: HSLSSMSSSSSNHSA.
% 0.25/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.32 % Starting full_lambda_9 with 1500s (5) cores
% 0.25/0.32 % Starting new_ho_11 with 300s (1) cores
% 0.25/0.32 % Starting sh2l with 300s (1) cores
% 0.25/0.32 % Starting new_bool_6 with 300s (1) cores
% 0.25/0.32 % new_bool_6 with pid 1230892 completed with status 0
% 0.25/0.32 % Result found by new_bool_6
% 0.25/0.32 % Preprocessing class: HSLSSMSSSSSNHSA.
% 0.25/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.32 % Starting full_lambda_9 with 1500s (5) cores
% 0.25/0.32 % Starting new_ho_11 with 300s (1) cores
% 0.25/0.32 % Starting sh2l with 300s (1) cores
% 0.25/0.32 % Starting new_bool_6 with 300s (1) cores
% 0.25/0.32 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1.0,,1,20000,1.0))
% 0.25/0.32 % SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
% 0.25/0.32 % Search class: HGHSM-FSLS21-MHSFFFNN
% 0.25/0.32 % partial match(3): HGHSM-FSLM31-MHSFFFBN
% 0.25/0.32 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.25/0.32 % Starting SubtermCWHack with 28s (1) cores
% 0.25/0.32 % SubtermCWHack with pid 1230894 completed with status 0
% 0.25/0.32 % Result found by SubtermCWHack
% 0.25/0.32 % Preprocessing class: HSLSSMSSSSSNHSA.
% 0.25/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.32 % Starting full_lambda_9 with 1500s (5) cores
% 0.25/0.32 % Starting new_ho_11 with 300s (1) cores
% 0.25/0.32 % Starting sh2l with 300s (1) cores
% 0.25/0.32 % Starting new_bool_6 with 300s (1) cores
% 0.25/0.32 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1.0,,1,20000,1.0))
% 0.25/0.32 % SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
% 0.25/0.32 % Search class: HGHSM-FSLS21-MHSFFFNN
% 0.25/0.32 % partial match(3): HGHSM-FSLM31-MHSFFFBN
% 0.25/0.32 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.25/0.32 % Starting SubtermCWHack with 28s (1) cores
% 0.25/0.32 % Preprocessing time : 0.002 s
% 0.25/0.32
% 0.25/0.32 % Proof found!
% 0.25/0.32 % SZS status Theorem
% 0.25/0.32 % SZS output start CNFRefutation
% See solution above
% 0.25/0.32 % Parsed axioms : 290
% 0.25/0.32 % Removed by relevancy pruning/SinE : 132
% 0.25/0.32 % Initial clauses : 211
% 0.25/0.32 % Removed in clause preprocessing : 5
% 0.25/0.32 % Initial clauses in saturation : 206
% 0.25/0.32 % Processed clauses : 1013
% 0.25/0.32 % ...of these trivial : 63
% 0.25/0.32 % ...subsumed : 736
% 0.25/0.32 % ...remaining for further processing : 213
% 0.25/0.32 % Other redundant clauses eliminated : 26
% 0.25/0.32 % Clauses deleted for lack of memory : 0
% 0.25/0.32 % Backward-subsumed : 1
% 0.25/0.32 % Backward-rewritten : 14
% 0.25/0.32 % Generated clauses : 3000
% 0.25/0.32 % ...of the previous two non-redundant : 2412
% 0.25/0.32 % ...aggressively subsumed : 0
% 0.25/0.32 % Contextual simplify-reflections : 2
% 0.25/0.32 % Paramodulations : 2974
% 0.25/0.32 % Factorizations : 0
% 0.25/0.32 % NegExts : 0
% 0.25/0.32 % Equation resolutions : 26
% 0.25/0.32 % Disequality decompositions : 0
% 0.25/0.32 % Total rewrite steps : 810
% 0.25/0.32 % ...of those cached : 613
% 0.25/0.32 % Propositional unsat checks : 0
% 0.25/0.32 % Propositional check models : 0
% 0.25/0.32 % Propositional check unsatisfiable : 0
% 0.25/0.32 % Propositional clauses : 0
% 0.25/0.32 % Propositional clauses after purity: 0
% 0.25/0.32 % Propositional unsat core size : 0
% 0.25/0.32 % Propositional preprocessing time : 0.000
% 0.25/0.32 % Propositional encoding time : 0.000
% 0.25/0.32 % Propositional solver time : 0.000
% 0.25/0.32 % Success case prop preproc time : 0.000
% 0.25/0.32 % Success case prop encoding time : 0.000
% 0.25/0.32 % Success case prop solver time : 0.000
% 0.25/0.32 % Current number of processed clauses : 176
% 0.25/0.32 % Positive orientable unit clauses : 46
% 0.25/0.32 % Positive unorientable unit clauses: 4
% 0.25/0.32 % Negative unit clauses : 40
% 0.25/0.32 % Non-unit-clauses : 86
% 0.25/0.32 % Current number of unprocessed clauses: 1593
% 0.25/0.32 % ...number of literals in the above : 3214
% 0.25/0.32 % Current number of archived formulas : 0
% 0.25/0.32 % Current number of archived clauses : 15
% 0.25/0.32 % Clause-clause subsumption calls (NU) : 1359
% 0.25/0.32 % Rec. Clause-clause subsumption calls : 1250
% 0.25/0.32 % Non-unit clause-clause subsumptions : 324
% 0.25/0.32 % Unit Clause-clause subsumption calls : 55
% 0.25/0.32 % Rewrite failures with RHS unbound : 0
% 0.25/0.32 % BW rewrite match attempts : 77
% 0.25/0.32 % BW rewrite match successes : 42
% 0.25/0.32 % Condensation attempts : 0
% 0.25/0.32 % Condensation successes : 0
% 0.25/0.32 % Termbank termtop insertions : 36692
% 0.25/0.32 % Search garbage collected termcells : 4334
% 0.25/0.32
% 0.25/0.32 % -------------------------------------------------
% 0.25/0.32 % User time : 0.036 s
% 0.25/0.32 % System time : 0.004 s
% 0.25/0.32 % Total time : 0.040 s
% 0.25/0.32 % Maximum resident set size: 4412 pages
% 0.25/0.32
% 0.25/0.32 % -------------------------------------------------
% 0.25/0.32 % User time : 0.043 s
% 0.25/0.32 % System time : 0.010 s
% 0.25/0.32 % Total time : 0.053 s
% 0.25/0.32 % Maximum resident set size: 5120 pages
% 0.25/0.32 % E exiting
%------------------------------------------------------------------------------