%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV884-1 : TPTP v9.3.1. Released v4.1.0.
% 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 03:00:07 PM UTC 2026
% Result : Unsatisfiable 3.18s 1.02s
% Output : CNFRefutation 3.18s
% 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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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
% 0.00/0.03 % Problem : SWV884-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 09:29:57 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.44 Running first-order theorem proving
% 0.15/0.44 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
% 3.18/1.02 % Version: 3.5.1
% 3.18/1.02 % Preprocessing class: FMLMSMSMSSSNFFN.
% 3.18/1.02 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.18/1.02 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.18/1.02 % Starting new_bool_3 with 300s (1) cores
% 3.18/1.02 % Starting new_bool_1 with 300s (1) cores
% 3.18/1.02 % Starting sh5l with 300s (1) cores
% 3.18/1.02 % new_bool_3 with pid 2523549 completed with status 0
% 3.18/1.02 % Result found by new_bool_3
% 3.18/1.02 % Preprocessing class: FMLMSMSMSSSNFFN.
% 3.18/1.02 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.18/1.02 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.18/1.02 % Starting new_bool_3 with 300s (1) cores
% 3.18/1.02 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 3.18/1.02 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.18/1.02 % Search class: FGHSM-FSLM32-DFFFFFNN
% 3.18/1.02 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 3.18/1.02 % Starting SubtermCWHack with 28s (1) cores
% 3.18/1.02 % SubtermCWHack with pid 2523552 completed with status 0
% 3.18/1.02 % Result found by SubtermCWHack
% 3.18/1.02 % Preprocessing class: FMLMSMSMSSSNFFN.
% 3.18/1.02 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.18/1.02 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.18/1.02 % Starting new_bool_3 with 300s (1) cores
% 3.18/1.02 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 3.18/1.02 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.18/1.02 % Search class: FGHSM-FSLM32-DFFFFFNN
% 3.18/1.02 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 3.18/1.02 % Starting SubtermCWHack with 28s (1) cores
% 3.18/1.02 % Preprocessing time : 0.011 s
% 3.18/1.02
% 3.18/1.02 % Proof found!
% 3.18/1.02 % SZS status Unsatisfiable
% 3.18/1.02 % SZS output start CNFRefutation
% See solution above
% 3.18/1.02 % Parsed axioms : 1121
% 3.18/1.02 % Removed by relevancy pruning/SinE : 505
% 3.18/1.02 % Initial clauses : 616
% 3.18/1.02 % Removed in clause preprocessing : 0
% 3.18/1.02 % Initial clauses in saturation : 616
% 3.18/1.02 % Processed clauses : 4808
% 3.18/1.02 % ...of these trivial : 461
% 3.18/1.02 % ...subsumed : 3397
% 3.18/1.02 % ...remaining for further processing : 950
% 3.18/1.02 % Other redundant clauses eliminated : 70
% 3.18/1.02 % Clauses deleted for lack of memory : 0
% 3.18/1.02 % Backward-subsumed : 7
% 3.18/1.02 % Backward-rewritten : 58
% 3.18/1.02 % Generated clauses : 25722
% 3.18/1.02 % ...of the previous two non-redundant : 20766
% 3.18/1.02 % ...aggressively subsumed : 0
% 3.18/1.02 % Contextual simplify-reflections : 4
% 3.18/1.02 % Paramodulations : 25625
% 3.18/1.02 % Factorizations : 10
% 3.18/1.02 % NegExts : 0
% 3.18/1.02 % Equation resolutions : 87
% 3.18/1.02 % Disequality decompositions : 0
% 3.18/1.02 % Total rewrite steps : 19208
% 3.18/1.02 % ...of those cached : 17153
% 3.18/1.02 % Propositional unsat checks : 0
% 3.18/1.02 % Propositional check models : 0
% 3.18/1.02 % Propositional check unsatisfiable : 0
% 3.18/1.02 % Propositional clauses : 0
% 3.18/1.02 % Propositional clauses after purity: 0
% 3.18/1.02 % Propositional unsat core size : 0
% 3.18/1.02 % Propositional preprocessing time : 0.000
% 3.18/1.02 % Propositional encoding time : 0.000
% 3.18/1.02 % Propositional solver time : 0.000
% 3.18/1.02 % Success case prop preproc time : 0.000
% 3.18/1.02 % Success case prop encoding time : 0.000
% 3.18/1.02 % Success case prop solver time : 0.000
% 3.18/1.02 % Current number of processed clauses : 885
% 3.18/1.02 % Positive orientable unit clauses : 259
% 3.18/1.02 % Positive unorientable unit clauses: 11
% 3.18/1.02 % Negative unit clauses : 187
% 3.18/1.02 % Non-unit-clauses : 428
% 3.18/1.02 % Current number of unprocessed clauses: 16431
% 3.18/1.02 % ...number of literals in the above : 31428
% 3.18/1.02 % Current number of archived formulas : 0
% 3.18/1.02 % Current number of archived clauses : 65
% 3.18/1.02 % Clause-clause subsumption calls (NU) : 41372
% 3.18/1.02 % Rec. Clause-clause subsumption calls : 35253
% 3.18/1.02 % Non-unit clause-clause subsumptions : 873
% 3.18/1.02 % Unit Clause-clause subsumption calls : 10962
% 3.18/1.02 % Rewrite failures with RHS unbound : 11
% 3.18/1.02 % BW rewrite match attempts : 560
% 3.18/1.02 % BW rewrite match successes : 102
% 3.18/1.02 % Condensation attempts : 0
% 3.18/1.02 % Condensation successes : 0
% 3.18/1.02 % Termbank termtop insertions : 333985
% 3.18/1.02 % Search garbage collected termcells : 2911
% 3.18/1.02
% 3.18/1.02 % -------------------------------------------------
% 3.18/1.02 % User time : 0.495 s
% 3.18/1.02 % System time : 0.036 s
% 3.18/1.02 % Total time : 0.530 s
% 3.18/1.02 % Maximum resident set size: 5132 pages
% 3.18/1.02
% 3.18/1.02 % -------------------------------------------------
% 3.18/1.02 % User time : 0.522 s
% 3.18/1.02 % System time : 0.040 s
% 3.18/1.02 % Total time : 0.562 s
% 3.18/1.02 % Maximum resident set size: 5376 pages
% 3.18/1.02 % E exiting
%------------------------------------------------------------------------------