%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW473+3 : 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 : 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 : Thu Sep 24 03:10:49 PM UTC 2026
% Result : Theorem 2.36s 1.04s
% Output : CNFRefutation 2.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 11 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 26 ( 13 ~; 8 |; 3 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_6,conjecture,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_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_453_insert__subset,axiom,
! [X11,X5,X10] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_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_453_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(fact_434_imageI,axiom,
! [X9,X11,X5] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X11),X5))
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X9,X11)),image_pname_a(X9,X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_434_imageI) ).
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(c_0_5,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_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_6,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_7,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))),
inference(fof_nnf,[status(thm)],[c_0_6]) ).
fof(c_0_8,plain,
! [X270,X271,X272] :
( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X270),X271)),X272))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X271),X272))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X270),X272)) )
& ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X270),X271)),X272))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X271),X272)) )
& ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X270),X271)),X272))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X270),X272)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_453_insert__subset])])])]) ).
cnf(c_0_9,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,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,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X1),X3)),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,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]) ).
fof(c_0_12,plain,
! [X338,X339,X340] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X338,X339)),image_pname_a(X338,X340)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X339),X340)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_434_imageI])])]) ).
cnf(c_0_13,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),image_pname_a(mgt_call,u))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
cnf(c_0_14,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X3,X1)),image_pname_a(X3,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_15,hypothesis,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(split_conjunct,[status(thm)],[conj_4]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW473+3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.58 % Computer : n006.cluster.edu
% 0.09/0.58 % Model : x86_64 x86_64
% 0.09/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.58 % Memory : 8046.5625MB
% 0.09/0.58 % OS : Linux 6.8.0-71-generic
% 0.09/0.58 % CPULimit : 300
% 0.09/0.58 % WCLimit : 300
% 0.09/0.58 % DateTime : Mon Sep 21 09:57:58 UTC 2026
% 0.09/0.58 % CPUTime :
% 0.09/0.58 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.62 Running first-order theorem proving
% 0.09/0.62 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
% 0.14/1.04 % Version: 3.5.1
% 0.14/1.04 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.14/1.04 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/1.04 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/1.04 % Starting new_bool_3 with 300s (1) cores
% 0.14/1.04 % Starting new_bool_1 with 300s (1) cores
% 0.14/1.04 % Starting sh5l with 300s (1) cores
% 0.14/1.04 % new_bool_3 with pid 2568482 completed with status 0
% 0.14/1.04 % Result found by new_bool_3
% 0.14/1.04 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.14/1.04 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/1.04 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/1.04 % Starting new_bool_3 with 300s (1) cores
% 0.14/1.04 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/1.04 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/1.04 % Search class: FGHSM-FSLM31-DFFFFFNN
% 0.14/1.04 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.14/1.04 % Starting SubtermCWHack with 28s (1) cores
% 0.14/1.04 % SubtermCWHack with pid 2568485 completed with status 0
% 0.14/1.04 % Result found by SubtermCWHack
% 2.36/1.04 % Preprocessing class: FMLMSMSMSSSNFFN.
% 2.36/1.04 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.36/1.04 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.36/1.04 % Starting new_bool_3 with 300s (1) cores
% 2.36/1.04 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 2.36/1.04 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.36/1.04 % Search class: FGHSM-FSLM31-DFFFFFNN
% 2.36/1.04 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 2.36/1.04 % Starting SubtermCWHack with 28s (1) cores
% 2.36/1.04 % Preprocessing time : 0.007 s
% 2.36/1.04
% 2.36/1.04 % Proof found!
% 2.36/1.04 % SZS status Theorem
% 2.36/1.04 % SZS output start CNFRefutation
% See solution above
% 2.36/1.04 % Parsed axioms : 1415
% 2.36/1.04 % Removed by relevancy pruning/SinE : 881
% 2.36/1.04 % Initial clauses : 862
% 2.36/1.04 % Removed in clause preprocessing : 39
% 2.36/1.04 % Initial clauses in saturation : 823
% 2.36/1.04 % Processed clauses : 6065
% 2.36/1.04 % ...of these trivial : 104
% 2.36/1.04 % ...subsumed : 4517
% 2.36/1.04 % ...remaining for further processing : 1444
% 2.36/1.04 % Other redundant clauses eliminated : 457
% 2.36/1.04 % Clauses deleted for lack of memory : 0
% 2.36/1.04 % Backward-subsumed : 15
% 2.36/1.04 % Backward-rewritten : 46
% 2.36/1.04 % Generated clauses : 29287
% 2.36/1.04 % ...of the previous two non-redundant : 23719
% 2.36/1.04 % ...aggressively subsumed : 0
% 2.36/1.04 % Contextual simplify-reflections : 2
% 2.36/1.04 % Paramodulations : 28821
% 2.36/1.04 % Factorizations : 6
% 2.36/1.04 % NegExts : 0
% 2.36/1.04 % Equation resolutions : 470
% 2.36/1.04 % Disequality decompositions : 0
% 2.36/1.04 % Total rewrite steps : 13409
% 2.36/1.04 % ...of those cached : 12113
% 2.36/1.04 % Propositional unsat checks : 0
% 2.36/1.04 % Propositional check models : 0
% 2.36/1.04 % Propositional check unsatisfiable : 0
% 2.36/1.04 % Propositional clauses : 0
% 2.36/1.04 % Propositional clauses after purity: 0
% 2.36/1.04 % Propositional unsat core size : 0
% 2.36/1.04 % Propositional preprocessing time : 0.000
% 2.36/1.04 % Propositional encoding time : 0.000
% 2.36/1.04 % Propositional solver time : 0.000
% 2.36/1.04 % Success case prop preproc time : 0.000
% 2.36/1.04 % Success case prop encoding time : 0.000
% 2.36/1.04 % Success case prop solver time : 0.000
% 2.36/1.04 % Current number of processed clauses : 1297
% 2.36/1.04 % Positive orientable unit clauses : 266
% 2.36/1.04 % Positive unorientable unit clauses: 6
% 2.36/1.04 % Negative unit clauses : 118
% 2.36/1.04 % Non-unit-clauses : 907
% 2.36/1.04 % Current number of unprocessed clauses: 18396
% 2.36/1.04 % ...number of literals in the above : 49694
% 2.36/1.04 % Current number of archived formulas : 0
% 2.36/1.04 % Current number of archived clauses : 61
% 2.36/1.04 % Clause-clause subsumption calls (NU) : 101397
% 2.36/1.04 % Rec. Clause-clause subsumption calls : 79387
% 2.36/1.04 % Non-unit clause-clause subsumptions : 2391
% 2.36/1.04 % Unit Clause-clause subsumption calls : 4429
% 2.36/1.04 % Rewrite failures with RHS unbound : 0
% 2.36/1.04 % BW rewrite match attempts : 1411
% 2.36/1.04 % BW rewrite match successes : 66
% 2.36/1.04 % Condensation attempts : 0
% 2.36/1.04 % Condensation successes : 0
% 2.36/1.04 % Termbank termtop insertions : 521602
% 2.36/1.04 % Search garbage collected termcells : 18829
% 2.36/1.04
% 2.36/1.04 % -------------------------------------------------
% 2.36/1.04 % User time : 0.309 s
% 2.36/1.04 % System time : 0.017 s
% 2.36/1.04 % Total time : 0.326 s
% 2.36/1.04 % Maximum resident set size: 7912 pages
% 2.36/1.04
% 2.36/1.04 % -------------------------------------------------
% 2.36/1.04 % User time : 0.357 s
% 2.36/1.04 % System time : 0.023 s
% 2.36/1.04 % Total time : 0.380 s
% 2.36/1.04 % Maximum resident set size: 6656 pages
% 2.36/1.04 % E exiting
%------------------------------------------------------------------------------