%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW473+2 : 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 : n013.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 03:10:49 PM UTC 2026
% Result : Theorem 0.44s 0.86s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 21 unt; 0 def)
% Number of atoms : 43 ( 7 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 30 ( 14 ~; 10 |; 3 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-2 aty)
% Number of variables : 34 ( 2 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_6,conjecture,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_6) ).
fof(fact_232_insertI1,axiom,
! [X8,X10] : hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X8),insert_a(X8,X10))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_232_insertI1) ).
fof(fact_337_image__insert,axiom,
! [X9,X8,X10] : image_pname_a(X9,insert_pname(X8,X10)) = insert_a(hAPP_pname_a(X9,X8),image_pname_a(X9,X10)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_337_image__insert) ).
fof(fact_264_insert__absorb,axiom,
! [X8,X5] :
( is_fun_pname_bool(X5)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X8),X5))
=> insert_pname(X8,X5) = X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_264_insert__absorb) ).
fof(conj_4,hypothesis,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).
fof(gsy_v_U,hypothesis,
is_fun_pname_bool(u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_U) ).
fof(fact_324_insert__subset,axiom,
! [X11,X5,X10] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X11,X5)),X10))
<=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X5),X10))
& hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X11),X10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_324_insert__subset) ).
fof(conj_1,hypothesis,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(c_0_8,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
inference(assume_negation,[status(cth)],[conj_6]) ).
fof(c_0_9,plain,
! [X188,X189] : hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X188),insert_a(X188,X189))),
inference(variable_rename,[status(thm)],[fact_232_insertI1]) ).
fof(c_0_10,plain,
! [X281,X282,X283] : image_pname_a(X281,insert_pname(X282,X283)) = insert_a(hAPP_pname_a(X281,X282),image_pname_a(X281,X283)),
inference(variable_rename,[status(thm)],[fact_337_image__insert]) ).
fof(c_0_11,plain,
! [X652,X653] :
( insert_pname(X652,X653) = X653
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X652),X653))
| ~ is_fun_pname_bool(X653) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_264_insert__absorb])])]) ).
fof(c_0_12,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),insert_a(X1,X2))),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
image_pname_a(X1,insert_pname(X2,X3)) = insert_a(hAPP_pname_a(X1,X2),image_pname_a(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| ~ is_fun_pname_bool(X1)
| insert_pname(X2,X1) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,hypothesis,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(split_conjunct,[status(thm)],[conj_4]) ).
cnf(c_0_17,hypothesis,
is_fun_pname_bool(u),
inference(split_conjunct,[status(thm)],[gsy_v_U]) ).
fof(c_0_18,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
inference(fof_nnf,[status(thm)],[c_0_12]) ).
fof(c_0_19,plain,
! [X203,X204,X205] :
( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X203,X204)),X205))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X204),X205))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X203),X205)) )
& ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X203,X204)),X205))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X204),X205)) )
& ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X203,X204)),X205))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X203),X205)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_324_insert__subset])])])]) ).
cnf(c_0_20,plain,
hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X1,X2)),image_pname_a(X1,insert_pname(X2,X3)))),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_21,hypothesis,
insert_pname(pn,u) = u,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).
cnf(c_0_22,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X2))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X1,X3)),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,hypothesis,
hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X1,pn)),image_pname_a(X1,u))),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,hypothesis,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
inference(split_conjunct,[status(thm)],[conj_1]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW473+2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n013.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 09:57:36 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 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
% 0.44/0.86 % Version: 3.5.1
% 0.44/0.86 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.44/0.86 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.86 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.44/0.86 % Starting new_bool_3 with 600s (2) cores
% 0.44/0.86 % Starting new_bool_1 with 300s (1) cores
% 0.44/0.86 % Starting sh5l with 300s (1) cores
% 0.44/0.86 % new_bool_1 with pid 493333 completed with status 0
% 0.44/0.86 % Result found by new_bool_1
% 0.44/0.86 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.44/0.86 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.86 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.44/0.86 % Starting new_bool_3 with 600s (2) cores
% 0.44/0.86 % Starting new_bool_1 with 300s (1) cores
% 0.44/0.86 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.44/0.86 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.44/0.86 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.44/0.86 % Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.44/0.86 % Starting SubtermCWHack with 28s (1) cores
% 0.44/0.86 % SubtermCWHack with pid 493339 completed with status 0
% 0.44/0.86 % Result found by SubtermCWHack
% 0.44/0.86 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.44/0.86 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.86 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.44/0.86 % Starting new_bool_3 with 600s (2) cores
% 0.44/0.86 % Starting new_bool_1 with 300s (1) cores
% 0.44/0.86 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.44/0.86 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.44/0.86 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.44/0.86 % Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.44/0.86 % Starting SubtermCWHack with 28s (1) cores
% 0.44/0.86 % Preprocessing time : 0.009 s
% 0.44/0.86
% 0.44/0.86 % Proof found!
% 0.44/0.86 % SZS status Theorem
% 0.44/0.86 % SZS output start CNFRefutation
% See solution above
% 0.44/0.86 % Parsed axioms : 917
% 0.44/0.86 % Removed by relevancy pruning/SinE : 438
% 0.44/0.86 % Initial clauses : 722
% 0.44/0.86 % Removed in clause preprocessing : 37
% 0.44/0.86 % Initial clauses in saturation : 685
% 0.44/0.86 % Processed clauses : 3960
% 0.44/0.86 % ...of these trivial : 318
% 0.44/0.86 % ...subsumed : 2760
% 0.44/0.86 % ...remaining for further processing : 882
% 0.44/0.86 % Other redundant clauses eliminated : 197
% 0.44/0.86 % Clauses deleted for lack of memory : 0
% 0.44/0.86 % Backward-subsumed : 1
% 0.44/0.86 % Backward-rewritten : 17
% 0.44/0.86 % Generated clauses : 14579
% 0.44/0.86 % ...of the previous two non-redundant : 11033
% 0.44/0.86 % ...aggressively subsumed : 0
% 0.44/0.86 % Contextual simplify-reflections : 6
% 0.44/0.86 % Paramodulations : 14366
% 0.44/0.86 % Factorizations : 4
% 0.44/0.86 % NegExts : 0
% 0.44/0.86 % Equation resolutions : 212
% 0.44/0.86 % Disequality decompositions : 0
% 0.44/0.86 % Total rewrite steps : 7002
% 0.44/0.86 % ...of those cached : 5655
% 0.44/0.86 % Propositional unsat checks : 0
% 0.44/0.86 % Propositional check models : 0
% 0.44/0.86 % Propositional check unsatisfiable : 0
% 0.44/0.86 % Propositional clauses : 0
% 0.44/0.86 % Propositional clauses after purity: 0
% 0.44/0.86 % Propositional unsat core size : 0
% 0.44/0.86 % Propositional preprocessing time : 0.000
% 0.44/0.86 % Propositional encoding time : 0.000
% 0.44/0.86 % Propositional solver time : 0.000
% 0.44/0.86 % Success case prop preproc time : 0.000
% 0.44/0.86 % Success case prop encoding time : 0.000
% 0.44/0.86 % Success case prop solver time : 0.000
% 0.44/0.86 % Current number of processed clauses : 779
% 0.44/0.86 % Positive orientable unit clauses : 215
% 0.44/0.86 % Positive unorientable unit clauses: 25
% 0.44/0.86 % Negative unit clauses : 116
% 0.44/0.86 % Non-unit-clauses : 423
% 0.44/0.86 % Current number of unprocessed clauses: 7352
% 0.44/0.86 % ...number of literals in the above : 16416
% 0.44/0.86 % Current number of archived formulas : 0
% 0.44/0.86 % Current number of archived clauses : 18
% 0.44/0.86 % Clause-clause subsumption calls (NU) : 21199
% 0.44/0.86 % Rec. Clause-clause subsumption calls : 15734
% 0.44/0.86 % Non-unit clause-clause subsumptions : 521
% 0.44/0.86 % Unit Clause-clause subsumption calls : 5520
% 0.44/0.86 % Rewrite failures with RHS unbound : 368
% 0.44/0.86 % BW rewrite match attempts : 1977
% 0.44/0.86 % BW rewrite match successes : 70
% 0.44/0.86 % Condensation attempts : 0
% 0.44/0.86 % Condensation successes : 0
% 0.44/0.86 % Termbank termtop insertions : 242507
% 0.44/0.86 % Search garbage collected termcells : 13553
% 0.44/0.86
% 0.44/0.86 % -------------------------------------------------
% 0.44/0.86 % User time : 0.256 s
% 0.44/0.86 % System time : 0.017 s
% 0.44/0.86 % Total time : 0.273 s
% 0.44/0.86 % Maximum resident set size: 6892 pages
% 0.44/0.86
% 0.44/0.86 % -------------------------------------------------
% 0.44/0.86 % User time : 0.286 s
% 0.44/0.86 % System time : 0.023 s
% 0.44/0.86 % Total time : 0.309 s
% 0.44/0.86 % Maximum resident set size: 5888 pages
% 0.44/0.86 % E exiting
%------------------------------------------------------------------------------