%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW365+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 03:10:23 PM UTC 2026
% Result : Theorem 124.47s 19.74s
% Output : CNFRefutation 124.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 11 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 20 ( 10 ~; 6 |; 3 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 18 ( 1 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_7,conjecture,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),v_G)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_7) ).
fof(fact_insert__subset,axiom,
! [X15,X12,X11,X10] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X10,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X10),X11),X12)),X15))
<=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X10,tc_HOL_Obool)),X12),X15))
& hBOOL(hAPP(hAPP(c_member(X10),X11),X15)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_insert__subset) ).
fof(fact_empty__subsetI,axiom,
! [X12,X10] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X10,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X10,tc_HOL_Obool))),X12)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_empty__subsetI) ).
fof(conj_6,hypothesis,
hBOOL(hAPP(hAPP(c_member(t_a),hAPP(v_mgt__call,v_pn)),v_G)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_6) ).
fof(c_0_4,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),v_G)),
inference(assume_negation,[status(cth)],[conj_7]) ).
fof(c_0_5,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),v_G)),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_6,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),v_G)),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
fof(c_0_7,plain,
! [X537,X538,X539,X540] :
( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X540,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X540),X539),X538)),X537))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X540,tc_HOL_Obool)),X538),X537))
| ~ hBOOL(hAPP(hAPP(c_member(X540),X539),X537)) )
& ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X540,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X540),X539),X538)),X537))
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X540,tc_HOL_Obool)),X538),X537)) )
& ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X540,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X540),X539),X538)),X537))
| hBOOL(hAPP(hAPP(c_member(X540),X539),X537)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_insert__subset])])])]) ).
fof(c_0_8,plain,
! [X300,X301] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X301,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X301,tc_HOL_Obool))),X300)),
inference(variable_rename,[status(thm)],[fact_empty__subsetI]) ).
cnf(c_0_9,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),v_G)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X4),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X4)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X2)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,hypothesis,
hBOOL(hAPP(hAPP(c_member(t_a),hAPP(v_mgt__call,v_pn)),v_G)),
inference(split_conjunct,[status(thm)],[conj_6]) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW365+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n019.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 09:49:34 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 124.47/19.74 % Version: 3.5.1
% 124.47/19.74 % Preprocessing class: FMLMSMSMSSSNFFN.
% 124.47/19.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 124.47/19.74 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 124.47/19.74 % Starting new_bool_3 with 300s (1) cores
% 124.47/19.74 % Starting new_bool_1 with 300s (1) cores
% 124.47/19.74 % Starting sh5l with 300s (1) cores
% 124.47/19.74 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2275012 completed with status 0
% 124.47/19.74 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 124.47/19.74 % Preprocessing class: FMLMSMSMSSSNFFN.
% 124.47/19.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 124.47/19.74 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 124.47/19.74 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 124.47/19.74 % No SInE strategy applied
% 124.47/19.74 % Search class: FGHSM-SMLM33-DFFFFFNN
% 124.47/19.74 % Scheduled 7 strats onto 5 cores with 1499 seconds (1499 total)
% 124.47/19.74 % Starting SubtermCWHack with 135s (1) cores
% 124.47/19.74 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 150s (1) cores
% 124.47/19.74 % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 135s (1) cores
% 124.47/19.74 % Starting SAT001_CA_MinMin_p005000_rr with 135s (1) cores
% 124.47/19.74 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 135s (1) cores
% 124.47/19.74 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2275028 completed with status 0
% 124.47/19.74 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 124.47/19.74 % Preprocessing class: FMLMSMSMSSSNFFN.
% 124.47/19.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 124.47/19.74 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 124.47/19.74 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 124.47/19.74 % No SInE strategy applied
% 124.47/19.74 % Search class: FGHSM-SMLM33-DFFFFFNN
% 124.47/19.74 % Scheduled 7 strats onto 5 cores with 1499 seconds (1499 total)
% 124.47/19.74 % Starting SubtermCWHack with 135s (1) cores
% 124.47/19.74 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 150s (1) cores
% 124.47/19.74 % Preprocessing time : 0.322 s
% 124.47/19.74 % Presaturation interreduction done
% 124.47/19.74
% 124.47/19.74 % Proof found!
% 124.47/19.74 % SZS status Theorem
% 124.47/19.74 % SZS output start CNFRefutation
% See solution above
% 124.47/19.74 % Parsed axioms : 5231
% 124.47/19.74 % Removed by relevancy pruning/SinE : 0
% 124.47/19.74 % Initial clauses : 7606
% 124.47/19.74 % Removed in clause preprocessing : 245
% 124.47/19.74 % Initial clauses in saturation : 7361
% 124.47/19.74 % Processed clauses : 13080
% 124.47/19.74 % ...of these trivial : 329
% 124.47/19.74 % ...subsumed : 2163
% 124.47/19.74 % ...remaining for further processing : 10588
% 124.47/19.74 % Other redundant clauses eliminated : 1120
% 124.47/19.74 % Clauses deleted for lack of memory : 0
% 124.47/19.74 % Backward-subsumed : 51
% 124.47/19.74 % Backward-rewritten : 240
% 124.47/19.74 % Generated clauses : 181814
% 124.47/19.74 % ...of the previous two non-redundant : 171414
% 124.47/19.74 % ...aggressively subsumed : 0
% 124.47/19.74 % Contextual simplify-reflections : 27
% 124.47/19.74 % Paramodulations : 180702
% 124.47/19.74 % Factorizations : 10
% 124.47/19.74 % NegExts : 0
% 124.47/19.74 % Equation resolutions : 1168
% 124.47/19.74 % Disequality decompositions : 0
% 124.47/19.74 % Total rewrite steps : 51320
% 124.47/19.74 % ...of those cached : 39889
% 124.47/19.74 % Propositional unsat checks : 3
% 124.47/19.74 % Propositional check models : 2
% 124.47/19.74 % Propositional check unsatisfiable : 0
% 124.47/19.74 % Propositional clauses : 0
% 124.47/19.74 % Propositional clauses after purity: 0
% 124.47/19.74 % Propositional unsat core size : 0
% 124.47/19.74 % Propositional preprocessing time : 0.000
% 124.47/19.74 % Propositional encoding time : 0.947
% 124.47/19.74 % Propositional solver time : 0.619
% 124.47/19.74 % Success case prop preproc time : 0.000
% 124.47/19.74 % Success case prop encoding time : 0.000
% 124.47/19.74 % Success case prop solver time : 0.000
% 124.47/19.74 % Current number of processed clauses : 3851
% 124.47/19.74 % Positive orientable unit clauses : 1129
% 124.47/19.74 % Positive unorientable unit clauses: 29
% 124.47/19.74 % Negative unit clauses : 152
% 124.47/19.74 % Non-unit-clauses : 2541
% 124.47/19.74 % Current number of unprocessed clauses: 164514
% 124.47/19.74 % ...number of literals in the above : 494441
% 124.47/19.74 % Current number of archived formulas : 0
% 124.47/19.74 % Current number of archived clauses : 6276
% 124.47/19.74 % Clause-clause subsumption calls (NU) : 4880613
% 124.47/19.74 % Rec. Clause-clause subsumption calls : 2154350
% 124.47/19.74 % Non-unit clause-clause subsumptions : 1507
% 124.47/19.74 % Unit Clause-clause subsumption calls : 34995
% 124.47/19.74 % Rewrite failures with RHS unbound : 0
% 124.47/19.74 % BW rewrite match attempts : 38276
% 124.47/19.74 % BW rewrite match successes : 642
% 124.47/19.74 % Condensation attempts : 0
% 124.47/19.74 % Condensation successes : 0
% 124.47/19.74 % Termbank termtop insertions : 6833749
% 124.47/19.74 % Search garbage collected termcells : 102687
% 124.47/19.74
% 124.47/19.74 % -------------------------------------------------
% 124.47/19.74 % User time : 18.060 s
% 124.47/19.74 % System time : 0.545 s
% 124.47/19.74 % Total time : 18.605 s
% 124.47/19.74 % Maximum resident set size: 42592 pages
% 124.47/19.74
% 124.47/19.74 % -------------------------------------------------
% 124.47/19.74 % User time : 84.642 s
% 124.47/19.74 % System time : 2.184 s
% 124.47/19.74 % Total time : 86.826 s
% 124.47/19.74 % Maximum resident set size: 12544 pages
% 124.47/19.74 % E exiting
%------------------------------------------------------------------------------