%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP124^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 0.22s 0.33s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 21 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 186 ( 4 ~; 0 |; 0 &; 182 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 4 con; 0-5 aty)
% Number of variables : 42 ( 0 ^; 42 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_35,type,
modula1144073633_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).
thf(decl_56,type,
a2: a ).
thf(decl_57,type,
b: a ).
thf(decl_58,type,
c: a ).
thf(decl_59,type,
inf: a > a > a ).
thf(decl_61,type,
sup: a > a > a ).
thf(conj_0,conjecture,
( ( modula1144073633_aux_a @ inf @ sup @ b @ c @ a2 )
= ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ),
file('/export/starexec/sandbox/tmp/tmp.IIClS5QHa7/E---3.1_568218.p',conj_0) ).
thf(fact_14_e__aux__def,axiom,
! [X1: a,X2: a,X3: a] :
( ( modula1144073633_aux_a @ inf @ sup @ X1 @ X2 @ X3 )
= ( inf @ ( inf @ ( sup @ X1 @ X2 ) @ ( sup @ X2 @ X3 ) ) @ ( sup @ X3 @ X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.IIClS5QHa7/E---3.1_568218.p',fact_14_e__aux__def) ).
thf(fact_0_local_Oinf_Oassoc,axiom,
! [X1: a,X2: a,X3: a] :
( ( inf @ ( inf @ X1 @ X2 ) @ X3 )
= ( inf @ X1 @ ( inf @ X2 @ X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.IIClS5QHa7/E---3.1_568218.p',fact_0_local_Oinf_Oassoc) ).
thf(fact_7_local_Osup_Ocommute,axiom,
! [X1: a,X2: a] :
( ( sup @ X1 @ X2 )
= ( sup @ X2 @ X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.IIClS5QHa7/E---3.1_568218.p',fact_7_local_Osup_Ocommute) ).
thf(fact_2_local_Oinf_Oleft__commute,axiom,
! [X2: a,X1: a,X3: a] :
( ( inf @ X2 @ ( inf @ X1 @ X3 ) )
= ( inf @ X1 @ ( inf @ X2 @ X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.IIClS5QHa7/E---3.1_568218.p',fact_2_local_Oinf_Oleft__commute) ).
thf(fact_1_local_Oinf_Ocommute,axiom,
! [X1: a,X2: a] :
( ( inf @ X1 @ X2 )
= ( inf @ X2 @ X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.IIClS5QHa7/E---3.1_568218.p',fact_1_local_Oinf_Ocommute) ).
thf(c_0_6,negated_conjecture,
( ( modula1144073633_aux_a @ inf @ sup @ b @ c @ a2 )
!= ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_7,negated_conjecture,
( ( modula1144073633_aux_a @ inf @ sup @ b @ c @ a2 )
!= ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
thf(c_0_8,plain,
! [X845: a,X846: a,X847: a] :
( ( modula1144073633_aux_a @ inf @ sup @ X845 @ X846 @ X847 )
= ( inf @ ( inf @ ( sup @ X845 @ X846 ) @ ( sup @ X846 @ X847 ) ) @ ( sup @ X847 @ X845 ) ) ),
inference(variable_rename,[status(thm)],[fact_14_e__aux__def]) ).
thf(c_0_9,plain,
! [X801: a,X802: a,X803: a] :
( ( inf @ ( inf @ X801 @ X802 ) @ X803 )
= ( inf @ X801 @ ( inf @ X802 @ X803 ) ) ),
inference(variable_rename,[status(thm)],[fact_0_local_Oinf_Oassoc]) ).
thf(c_0_10,negated_conjecture,
( ( modula1144073633_aux_a @ inf @ sup @ b @ c @ a2 )
!= ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ),
inference(fof_nnf,[status(thm)],[c_0_7]) ).
thf(c_0_11,plain,
! [X3: a,X2: a,X1: a] :
( ( modula1144073633_aux_a @ inf @ sup @ X1 @ X2 @ X3 )
= ( inf @ ( inf @ ( sup @ X1 @ X2 ) @ ( sup @ X2 @ X3 ) ) @ ( sup @ X3 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_12,plain,
! [X1: a,X2: a,X3: a] :
( ( inf @ ( inf @ X1 @ X2 ) @ X3 )
= ( inf @ X1 @ ( inf @ X2 @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_13,plain,
! [X820: a,X821: a] :
( ( sup @ X820 @ X821 )
= ( sup @ X821 @ X820 ) ),
inference(variable_rename,[status(thm)],[fact_7_local_Osup_Ocommute]) ).
thf(c_0_14,plain,
! [X806: a,X807: a,X808: a] :
( ( inf @ X806 @ ( inf @ X807 @ X808 ) )
= ( inf @ X807 @ ( inf @ X806 @ X808 ) ) ),
inference(variable_rename,[status(thm)],[fact_2_local_Oinf_Oleft__commute]) ).
thf(c_0_15,plain,
! [X804: a,X805: a] :
( ( inf @ X804 @ X805 )
= ( inf @ X805 @ X804 ) ),
inference(variable_rename,[status(thm)],[fact_1_local_Oinf_Ocommute]) ).
thf(c_0_16,negated_conjecture,
( ( modula1144073633_aux_a @ inf @ sup @ b @ c @ a2 )
!= ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_17,plain,
! [X3: a,X2: a,X1: a] :
( ( modula1144073633_aux_a @ inf @ sup @ X1 @ X2 @ X3 )
= ( inf @ ( sup @ X1 @ X2 ) @ ( inf @ ( sup @ X2 @ X3 ) @ ( sup @ X3 @ X1 ) ) ) ),
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
thf(c_0_18,plain,
! [X2: a,X1: a] :
( ( sup @ X1 @ X2 )
= ( sup @ X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_19,plain,
! [X1: a,X2: a,X3: a] :
( ( inf @ X1 @ ( inf @ X2 @ X3 ) )
= ( inf @ X2 @ ( inf @ X1 @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_20,plain,
! [X2: a,X1: a] :
( ( inf @ X1 @ X2 )
= ( inf @ X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]),c_0_17]),c_0_18]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP124^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.16 % Computer : n018.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Tue Sep 29 19:59:26 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 Running higher-order theorem proving
% 0.10/0.25 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.IIClS5QHa7/E---3.1_568218.p
% 0.22/0.33 % Version: 3.5.1-ho
% 0.22/0.33 % Preprocessing class: HSLSSMSSSSMNHSA.
% 0.22/0.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.33 % Starting sh1 with 1500s (5) cores
% 0.22/0.33 % Starting new_ho_8 with 300s (1) cores
% 0.22/0.33 % Starting new_ho_11 with 300s (1) cores
% 0.22/0.33 % Starting sh5l with 300s (1) cores
% 0.22/0.33 % sh1 with pid 568255 completed with status 0
% 0.22/0.33 % Result found by sh1
% 0.22/0.33 % Preprocessing class: HSLSSMSSSSMNHSA.
% 0.22/0.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.33 % Starting sh1 with 1500s (5) cores
% 0.22/0.33 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.33 % No SInE strategy applied
% 0.22/0.33 % Search class: HGHSM-FSLM31-MHSFFSBN
% 0.22/0.33 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.33 % Starting SubtermCWHack with 136s (1) cores
% 0.22/0.33 % Starting sh1 with 151s (1) cores
% 0.22/0.33 % Starting lpo4_lambdas_fix with 136s (1) cores
% 0.22/0.33 % Starting post_as_ho3 with 136s (1) cores
% 0.22/0.33 % Starting full_lambda_10 with 136s (1) cores
% 0.22/0.33 % post_as_ho3 with pid 568267 completed with status 0
% 0.22/0.33 % Result found by post_as_ho3
% 0.22/0.33 % Preprocessing class: HSLSSMSSSSMNHSA.
% 0.22/0.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.33 % Starting sh1 with 1500s (5) cores
% 0.22/0.33 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.33 % No SInE strategy applied
% 0.22/0.33 % Search class: HGHSM-FSLM31-MHSFFSBN
% 0.22/0.33 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.33 % Starting SubtermCWHack with 136s (1) cores
% 0.22/0.33 % Starting sh1 with 151s (1) cores
% 0.22/0.33 % Starting lpo4_lambdas_fix with 136s (1) cores
% 0.22/0.33 % Starting post_as_ho3 with 136s (1) cores
% 0.22/0.33 % Preprocessing time : 0.004 s
% 0.22/0.33 % Presaturation interreduction done
% 0.22/0.33
% 0.22/0.33 % Proof found!
% 0.22/0.33 % SZS status Theorem
% 0.22/0.33 % SZS output start CNFRefutation
% See solution above
% 0.22/0.33 % Parsed axioms : 313
% 0.22/0.33 % Removed by relevancy pruning/SinE : 0
% 0.22/0.33 % Initial clauses : 468
% 0.22/0.33 % Removed in clause preprocessing : 51
% 0.22/0.33 % Initial clauses in saturation : 417
% 0.22/0.33 % Processed clauses : 367
% 0.22/0.33 % ...of these trivial : 12
% 0.22/0.33 % ...subsumed : 91
% 0.22/0.33 % ...remaining for further processing : 264
% 0.22/0.33 % Other redundant clauses eliminated : 27
% 0.22/0.33 % Clauses deleted for lack of memory : 0
% 0.22/0.33 % Backward-subsumed : 1
% 0.22/0.33 % Backward-rewritten : 1
% 0.22/0.33 % Generated clauses : 26
% 0.22/0.33 % ...of the previous two non-redundant : 6
% 0.22/0.33 % ...aggressively subsumed : 0
% 0.22/0.33 % Contextual simplify-reflections : 0
% 0.22/0.33 % Paramodulations : 0
% 0.22/0.33 % Factorizations : 0
% 0.22/0.33 % NegExts : 0
% 0.22/0.33 % Equation resolutions : 27
% 0.22/0.33 % Disequality decompositions : 0
% 0.22/0.33 % Total rewrite steps : 42
% 0.22/0.33 % ...of those cached : 15
% 0.22/0.33 % Propositional unsat checks : 0
% 0.22/0.33 % Propositional check models : 0
% 0.22/0.33 % Propositional check unsatisfiable : 0
% 0.22/0.33 % Propositional clauses : 0
% 0.22/0.33 % Propositional clauses after purity: 0
% 0.22/0.33 % Propositional unsat core size : 0
% 0.22/0.33 % Propositional preprocessing time : 0.000
% 0.22/0.33 % Propositional encoding time : 0.000
% 0.22/0.33 % Propositional solver time : 0.000
% 0.22/0.33 % Success case prop preproc time : 0.000
% 0.22/0.33 % Success case prop encoding time : 0.000
% 0.22/0.33 % Success case prop solver time : 0.000
% 0.22/0.33 % Current number of processed clauses : 236
% 0.22/0.33 % Positive orientable unit clauses : 45
% 0.22/0.33 % Positive unorientable unit clauses: 6
% 0.22/0.33 % Negative unit clauses : 5
% 0.22/0.33 % Non-unit-clauses : 180
% 0.22/0.33 % Current number of unprocessed clauses: 56
% 0.22/0.33 % ...number of literals in the above : 224
% 0.22/0.33 % Current number of archived formulas : 0
% 0.22/0.33 % Current number of archived clauses : 2
% 0.22/0.33 % Clause-clause subsumption calls (NU) : 7377
% 0.22/0.33 % Rec. Clause-clause subsumption calls : 6000
% 0.22/0.33 % Non-unit clause-clause subsumptions : 79
% 0.22/0.33 % Unit Clause-clause subsumption calls : 42
% 0.22/0.33 % Rewrite failures with RHS unbound : 0
% 0.22/0.33 % BW rewrite match attempts : 41
% 0.22/0.33 % BW rewrite match successes : 26
% 0.22/0.33 % Condensation attempts : 0
% 0.22/0.33 % Condensation successes : 0
% 0.22/0.33 % Termbank termtop insertions : 33918
% 0.22/0.33 % Search garbage collected termcells : 8763
% 0.22/0.33
% 0.22/0.33 % -------------------------------------------------
% 0.22/0.33 % User time : 0.041 s
% 0.22/0.33 % System time : 0.005 s
% 0.22/0.33 % Total time : 0.046 s
% 0.22/0.33 % Maximum resident set size: 5628 pages
% 0.22/0.33
% 0.22/0.33 % -------------------------------------------------
% 0.22/0.33 % User time : 0.089 s
% 0.22/0.33 % System time : 0.032 s
% 0.22/0.33 % Total time : 0.120 s
% 0.22/0.33 % Maximum resident set size: 5376 pages
% 0.22/0.33 % E exiting
%------------------------------------------------------------------------------