%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWV884-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 03:07:04 PM UTC 2026
% Result : Unsatisfiable 2.11s 0.77s
% Output : CNFRefutation 2.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 23 ( 11 unt; 0 nHn; 16 RR)
% Number of literals : 38 ( 0 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-4 aty)
% Number of variables : 46 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_mem__def_0,axiom,
( ~ c_in(X2,X1,X3)
| hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_conjecture_6,negated_conjecture,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_insert__subset_2,axiom,
( ~ c_in(X1,X4,X3)
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_2) ).
cnf(cls_mem__def_1,axiom,
( ~ hBOOL(hAPP(X2,X1))
| c_in(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_conjecture_4,negated_conjecture,
c_in(v_pn,v_U,tc_Com_Opname),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_rev__image__eqI_0,axiom,
( ~ c_in(X1,X2,X3)
| c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__image__eqI_0) ).
cnf(c_0_7,plain,
( ~ c_in(X2,X1,X3)
| hBOOL(hAPP(X1,X2)) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_0]) ).
cnf(c_0_8,negated_conjecture,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
inference(fof_simplification,[status(thm)],[cls_conjecture_6]) ).
cnf(c_0_9,plain,
( ~ c_in(X1,X4,X3)
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[cls_insert__subset_2]) ).
cnf(c_0_10,plain,
( ~ hBOOL(hAPP(X2,X1))
| c_in(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_1]) ).
cnf(c_0_11,plain,
( ~ c_in(X2,X1,X3)
| hBOOL(hAPP(X1,X2)) ),
c_0_7 ).
cnf(c_0_12,negated_conjecture,
c_in(v_pn,v_U,tc_Com_Opname),
cls_conjecture_4 ).
cnf(c_0_13,negated_conjecture,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
c_0_8 ).
cnf(c_0_14,plain,
( ~ c_in(X1,X4,X3)
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
c_0_9 ).
cnf(c_0_15,negated_conjecture,
c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
cls_conjecture_1 ).
cnf(c_0_16,plain,
( ~ c_in(X1,X2,X3)
| c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) ),
inference(fof_simplification,[status(thm)],[cls_rev__image__eqI_0]) ).
cnf(c_0_17,plain,
( ~ hBOOL(hAPP(X2,X1))
| c_in(X1,X2,X3) ),
c_0_10 ).
cnf(c_0_18,negated_conjecture,
hBOOL(hAPP(v_U,v_pn)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_19,negated_conjecture,
~ c_in(hAPP(v_mgt__call,v_pn),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_20,plain,
( ~ c_in(X1,X2,X3)
| c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) ),
c_0_16 ).
cnf(c_0_21,negated_conjecture,
c_in(v_pn,v_U,X1),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV884-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.35 % Computer : n012.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 09:29:51 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 2.11/0.77 % Version: 3.5.1
% 2.11/0.77 % Preprocessing class: FMLMSMSMSSSNFFN.
% 2.11/0.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.11/0.77 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.11/0.77 % Starting new_bool_3 with 300s (1) cores
% 2.11/0.77 % Starting new_bool_1 with 300s (1) cores
% 2.11/0.77 % Starting sh5l with 300s (1) cores
% 2.11/0.77 % new_bool_1 with pid 2079983 completed with status 0
% 2.11/0.77 % Result found by new_bool_1
% 2.11/0.77 % Preprocessing class: FMLMSMSMSSSNFFN.
% 2.11/0.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.11/0.77 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.11/0.77 % Starting new_bool_3 with 300s (1) cores
% 2.11/0.77 % Starting new_bool_1 with 300s (1) cores
% 2.11/0.77 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 2.11/0.77 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.11/0.77 % Search class: FGHSM-FSLM32-DFFFFFNN
% 2.11/0.77 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 2.11/0.77 % Starting SubtermCWHack with 28s (1) cores
% 2.11/0.77 % SubtermCWHack with pid 2079986 completed with status 0
% 2.11/0.77 % Result found by SubtermCWHack
% 2.11/0.77 % Preprocessing class: FMLMSMSMSSSNFFN.
% 2.11/0.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.11/0.77 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.11/0.77 % Starting new_bool_3 with 300s (1) cores
% 2.11/0.77 % Starting new_bool_1 with 300s (1) cores
% 2.11/0.77 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 2.11/0.77 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.11/0.77 % Search class: FGHSM-FSLM32-DFFFFFNN
% 2.11/0.77 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 2.11/0.77 % Starting SubtermCWHack with 28s (1) cores
% 2.11/0.77 % Preprocessing time : 0.006 s
% 2.11/0.77
% 2.11/0.77 % Proof found!
% 2.11/0.77 % SZS status Unsatisfiable
% 2.11/0.77 % SZS output start CNFRefutation
% See solution above
% 2.11/0.77 % Parsed axioms : 1121
% 2.11/0.77 % Removed by relevancy pruning/SinE : 505
% 2.11/0.77 % Initial clauses : 616
% 2.11/0.77 % Removed in clause preprocessing : 0
% 2.11/0.77 % Initial clauses in saturation : 616
% 2.11/0.77 % Processed clauses : 4808
% 2.11/0.77 % ...of these trivial : 461
% 2.11/0.77 % ...subsumed : 3397
% 2.11/0.77 % ...remaining for further processing : 950
% 2.11/0.77 % Other redundant clauses eliminated : 70
% 2.11/0.77 % Clauses deleted for lack of memory : 0
% 2.11/0.77 % Backward-subsumed : 7
% 2.11/0.77 % Backward-rewritten : 58
% 2.11/0.77 % Generated clauses : 25722
% 2.11/0.77 % ...of the previous two non-redundant : 20766
% 2.11/0.77 % ...aggressively subsumed : 0
% 2.11/0.77 % Contextual simplify-reflections : 4
% 2.11/0.77 % Paramodulations : 25625
% 2.11/0.77 % Factorizations : 10
% 2.11/0.77 % NegExts : 0
% 2.11/0.77 % Equation resolutions : 87
% 2.11/0.77 % Disequality decompositions : 0
% 2.11/0.77 % Total rewrite steps : 19208
% 2.11/0.77 % ...of those cached : 17153
% 2.11/0.77 % Propositional unsat checks : 0
% 2.11/0.77 % Propositional check models : 0
% 2.11/0.77 % Propositional check unsatisfiable : 0
% 2.11/0.77 % Propositional clauses : 0
% 2.11/0.77 % Propositional clauses after purity: 0
% 2.11/0.77 % Propositional unsat core size : 0
% 2.11/0.77 % Propositional preprocessing time : 0.000
% 2.11/0.77 % Propositional encoding time : 0.000
% 2.11/0.77 % Propositional solver time : 0.000
% 2.11/0.77 % Success case prop preproc time : 0.000
% 2.11/0.77 % Success case prop encoding time : 0.000
% 2.11/0.77 % Success case prop solver time : 0.000
% 2.11/0.77 % Current number of processed clauses : 885
% 2.11/0.77 % Positive orientable unit clauses : 259
% 2.11/0.77 % Positive unorientable unit clauses: 11
% 2.11/0.77 % Negative unit clauses : 187
% 2.11/0.77 % Non-unit-clauses : 428
% 2.11/0.77 % Current number of unprocessed clauses: 16431
% 2.11/0.77 % ...number of literals in the above : 31428
% 2.11/0.77 % Current number of archived formulas : 0
% 2.11/0.77 % Current number of archived clauses : 65
% 2.11/0.77 % Clause-clause subsumption calls (NU) : 41348
% 2.11/0.77 % Rec. Clause-clause subsumption calls : 35221
% 2.11/0.77 % Non-unit clause-clause subsumptions : 873
% 2.11/0.77 % Unit Clause-clause subsumption calls : 10962
% 2.11/0.77 % Rewrite failures with RHS unbound : 11
% 2.11/0.77 % BW rewrite match attempts : 560
% 2.11/0.77 % BW rewrite match successes : 102
% 2.11/0.77 % Condensation attempts : 0
% 2.11/0.77 % Condensation successes : 0
% 2.11/0.77 % Termbank termtop insertions : 333985
% 2.11/0.77 % Search garbage collected termcells : 2911
% 2.11/0.77
% 2.11/0.77 % -------------------------------------------------
% 2.11/0.77 % User time : 0.307 s
% 2.11/0.77 % System time : 0.024 s
% 2.11/0.77 % Total time : 0.331 s
% 2.11/0.77 % Maximum resident set size: 5184 pages
% 2.11/0.77
% 2.11/0.77 % -------------------------------------------------
% 2.11/0.77 % User time : 0.332 s
% 2.11/0.77 % System time : 0.029 s
% 2.11/0.77 % Total time : 0.361 s
% 2.11/0.77 % Maximum resident set size: 5376 pages
% 2.11/0.77 % E exiting
%------------------------------------------------------------------------------