%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV629+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 : Thu Sep 24 02:35:21 PM UTC 2026
% Result : Theorem 0.36s 0.68s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 12 unt; 0 def)
% Number of atoms : 50 ( 3 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 45 ( 17 ~; 16 |; 6 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 43 ( 3 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('_HAMMER_GOAL',conjecture,
cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(c_24__type__35378,cHahnSets_2eset__subset___24a1(cA)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof('$_def_HahnSets.set_subset',axiom,
! [X42,X452,X453] :
( cHahnSets_2eset__subset___24a3(X42,X452,X453)
<=> ! [X24] :
( t(X24,X42)
=> ( p(happ(X452,X24))
=> p(happ(X453,X24)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_def_HahnSets.set_subset') ).
fof('$adef_HahnSets.set_subset_$a1',axiom,
! [X2813] : happ(cHahnSets_2eset__subset,X2813) = cHahnSets_2eset__subset___24a1(X2813),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$adef_HahnSets.set_subset_$a1') ).
fof('$_def_Coq.Relations.Relation_Definitions.reflexive',axiom,
! [X42,X134] :
( cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(X42,X134)
<=> ! [X131] :
( t(X131,X42)
=> p(happ(happ(X134,X131),X131)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_def_Coq.Relations.Relation_Definitions.reflexive') ).
fof('$adef_HahnSets.set_subset_$a3',axiom,
! [X2813,X2814,X2815] :
( p(happ(happ(happ(cHahnSets_2eset__subset,X2813),X2814),X2815))
<=> cHahnSets_2eset__subset___24a3(X2813,X2814,X2815) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$adef_HahnSets.set_subset_$a3') ).
fof(c_0_5,negated_conjecture,
~ cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(c_24__type__35378,cHahnSets_2eset__subset___24a1(cA)),
inference(assume_negation,[status(cth)],['_HAMMER_GOAL']) ).
fof(c_0_6,negated_conjecture,
~ cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(c_24__type__35378,cHahnSets_2eset__subset___24a1(cA)),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_7,plain,
! [X2855,X2856,X2857,X2858,X2859,X2860,X2861] :
( ( cHahnSets_2eset__subset___24a3(X2859,X2860,X2861)
| ~ p(happ(X2861,esk5_3(X2859,X2860,X2861))) )
& ( cHahnSets_2eset__subset___24a3(X2859,X2860,X2861)
| p(happ(X2860,esk5_3(X2859,X2860,X2861))) )
& ( cHahnSets_2eset__subset___24a3(X2859,X2860,X2861)
| t(esk5_3(X2859,X2860,X2861),X2859) )
& ( p(happ(X2857,X2858))
| ~ p(happ(X2856,X2858))
| ~ t(X2858,X2855)
| ~ cHahnSets_2eset__subset___24a3(X2855,X2856,X2857) ) ),
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)],['$_def_HahnSets.set_subset'])])])])])])]) ).
fof(c_0_8,negated_conjecture,
~ cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(c_24__type__35378,cHahnSets_2eset__subset___24a1(cA)),
inference(fof_nnf,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
! [X2842] : happ(cHahnSets_2eset__subset,X2842) = cHahnSets_2eset__subset___24a1(X2842),
inference(variable_rename,[status(thm)],['$adef_HahnSets.set_subset_$a1']) ).
fof(c_0_10,plain,
! [X2836,X2837,X2838,X2839,X2840] :
( ( cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(X2839,X2840)
| ~ p(happ(happ(X2840,esk1_2(X2839,X2840)),esk1_2(X2839,X2840))) )
& ( cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(X2839,X2840)
| t(esk1_2(X2839,X2840),X2839) )
& ( p(happ(happ(X2837,X2838),X2838))
| ~ t(X2838,X2836)
| ~ cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(X2836,X2837) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['$_def_Coq.Relations.Relation_Definitions.reflexive'])])])])])])]) ).
fof(c_0_11,plain,
! [X2844,X2845,X2846] :
( ( p(happ(happ(happ(cHahnSets_2eset__subset,X2844),X2845),X2846))
| ~ cHahnSets_2eset__subset___24a3(X2844,X2845,X2846) )
& ( cHahnSets_2eset__subset___24a3(X2844,X2845,X2846)
| ~ p(happ(happ(happ(cHahnSets_2eset__subset,X2844),X2845),X2846)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['$adef_HahnSets.set_subset_$a3'])])]) ).
cnf(c_0_12,plain,
( ~ p(happ(X1,esk5_3(X2,X3,X1)))
| cHahnSets_2eset__subset___24a3(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( cHahnSets_2eset__subset___24a3(X2,X1,X3)
| p(happ(X1,esk5_3(X2,X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
~ cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(c_24__type__35378,cHahnSets_2eset__subset___24a1(cA)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
happ(cHahnSets_2eset__subset,X1) = cHahnSets_2eset__subset___24a1(X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
( ~ p(happ(happ(X1,esk1_2(X2,X1)),esk1_2(X2,X1)))
| cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
( ~ cHahnSets_2eset__subset___24a3(X1,X2,X3)
| p(happ(happ(happ(cHahnSets_2eset__subset,X1),X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
cHahnSets_2eset__subset___24a3(X1,X2,X2),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,negated_conjecture,
~ cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(c_24__type__35378,happ(cHahnSets_2eset__subset,cA)),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(X1,happ(cHahnSets_2eset__subset,X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV629+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n014.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 21 07:31:20 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.68 % Version: 3.5.1
% 0.36/0.68 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.36/0.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.68 % Starting new_bool_3 with 900s (3) cores
% 0.36/0.68 % Starting new_bool_1 with 900s (3) cores
% 0.36/0.68 % Starting sh5l with 300s (1) cores
% 0.36/0.68 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 0.36/0.68 % G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with pid 3539864 completed with status 0
% 0.36/0.68 % Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y
% 0.36/0.68 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.36/0.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.68 % Starting new_bool_3 with 900s (3) cores
% 0.36/0.68 % Starting new_bool_1 with 900s (3) cores
% 0.36/0.68 % Starting sh5l with 300s (1) cores
% 0.36/0.68 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 0.36/0.68 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.36/0.68 % SinE strategy is gf120_h_gu_RUU_F100_L00500
% 0.36/0.68 % Search class: FGUNF-FFMF31-MFFFFFNN
% 0.36/0.68 % partial match(1): FGUNF-FFSF31-MFFFFFNN
% 0.36/0.68 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.36/0.68 % Starting SubtermCWHack with 28s (1) cores
% 0.36/0.68 % SubtermCWHack with pid 3539871 completed with status 0
% 0.36/0.68 % Result found by SubtermCWHack
% 0.36/0.68 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.36/0.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.68 % Starting new_bool_3 with 900s (3) cores
% 0.36/0.68 % Starting new_bool_1 with 900s (3) cores
% 0.36/0.68 % Starting sh5l with 300s (1) cores
% 0.36/0.68 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 0.36/0.68 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.36/0.68 % SinE strategy is gf120_h_gu_RUU_F100_L00500
% 0.36/0.68 % Search class: FGUNF-FFMF31-MFFFFFNN
% 0.36/0.68 % partial match(1): FGUNF-FFSF31-MFFFFFNN
% 0.36/0.68 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.36/0.68 % Starting SubtermCWHack with 28s (1) cores
% 0.36/0.68 % Preprocessing time : 0.005 s
% 0.36/0.68
% 0.36/0.68 % Proof found!
% 0.36/0.68 % SZS status Theorem
% 0.36/0.68 % SZS output start CNFRefutation
% See solution above
% 0.36/0.68 % Parsed axioms : 2963
% 0.36/0.68 % Removed by relevancy pruning/SinE : 2940
% 0.36/0.68 % Initial clauses : 48
% 0.36/0.68 % Removed in clause preprocessing : 20
% 0.36/0.68 % Initial clauses in saturation : 28
% 0.36/0.68 % Processed clauses : 24
% 0.36/0.68 % ...of these trivial : 0
% 0.36/0.68 % ...subsumed : 0
% 0.36/0.68 % ...remaining for further processing : 24
% 0.36/0.68 % Other redundant clauses eliminated : 0
% 0.36/0.68 % Clauses deleted for lack of memory : 0
% 0.36/0.68 % Backward-subsumed : 0
% 0.36/0.68 % Backward-rewritten : 1
% 0.36/0.68 % Generated clauses : 14
% 0.36/0.68 % ...of the previous two non-redundant : 11
% 0.36/0.68 % ...aggressively subsumed : 0
% 0.36/0.68 % Contextual simplify-reflections : 0
% 0.36/0.68 % Paramodulations : 14
% 0.36/0.68 % Factorizations : 0
% 0.36/0.68 % NegExts : 0
% 0.36/0.68 % Equation resolutions : 0
% 0.36/0.68 % Disequality decompositions : 0
% 0.36/0.68 % Total rewrite steps : 2
% 0.36/0.68 % ...of those cached : 0
% 0.36/0.68 % Propositional unsat checks : 0
% 0.36/0.68 % Propositional check models : 0
% 0.36/0.68 % Propositional check unsatisfiable : 0
% 0.36/0.68 % Propositional clauses : 0
% 0.36/0.68 % Propositional clauses after purity: 0
% 0.36/0.68 % Propositional unsat core size : 0
% 0.36/0.68 % Propositional preprocessing time : 0.000
% 0.36/0.68 % Propositional encoding time : 0.000
% 0.36/0.68 % Propositional solver time : 0.000
% 0.36/0.68 % Success case prop preproc time : 0.000
% 0.36/0.68 % Success case prop encoding time : 0.000
% 0.36/0.68 % Success case prop solver time : 0.000
% 0.36/0.68 % Current number of processed clauses : 23
% 0.36/0.68 % Positive orientable unit clauses : 4
% 0.36/0.68 % Positive unorientable unit clauses: 0
% 0.36/0.68 % Negative unit clauses : 0
% 0.36/0.68 % Non-unit-clauses : 19
% 0.36/0.68 % Current number of unprocessed clauses: 15
% 0.36/0.68 % ...number of literals in the above : 61
% 0.36/0.68 % Current number of archived formulas : 0
% 0.36/0.68 % Current number of archived clauses : 2
% 0.36/0.68 % Clause-clause subsumption calls (NU) : 30
% 0.36/0.68 % Rec. Clause-clause subsumption calls : 13
% 0.36/0.68 % Non-unit clause-clause subsumptions : 0
% 0.36/0.68 % Unit Clause-clause subsumption calls : 8
% 0.36/0.68 % Rewrite failures with RHS unbound : 0
% 0.36/0.68 % BW rewrite match attempts : 2
% 0.36/0.68 % BW rewrite match successes : 1
% 0.36/0.68 % Condensation attempts : 0
% 0.36/0.68 % Condensation successes : 0
% 0.36/0.68 % Termbank termtop insertions : 46094
% 0.36/0.68 % Search garbage collected termcells : 36052
% 0.36/0.68
% 0.36/0.68 % -------------------------------------------------
% 0.36/0.68 % User time : 0.027 s
% 0.36/0.68 % System time : 0.022 s
% 0.36/0.68 % Total time : 0.049 s
% 0.36/0.68 % Maximum resident set size: 15212 pages
% 0.36/0.68
% 0.36/0.68 % -------------------------------------------------
% 0.36/0.68 % User time : 0.190 s
% 0.36/0.68 % System time : 0.037 s
% 0.36/0.68 % Total time : 0.227 s
% 0.36/0.68 % Maximum resident set size: 11520 pages
% 0.36/0.68 % E exiting
%------------------------------------------------------------------------------