%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV880-1 : 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 : 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 03:00:07 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.53s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 25 ( 19 unt; 0 nHn; 17 RR)
% Number of literals : 34 ( 8 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 48 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_insert__absorb_0,axiom,
( ~ c_in(X1,X2,X3)
| c_Set_Oinsert(X1,X2,X3) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
cnf(cls_insert__iff_1,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__iff_1) ).
cnf(cls_image__insert_0,axiom,
c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) = c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__insert_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(v_pn,v_U,tc_Com_Opname),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),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_3) ).
cnf(cls_conjecture_1,negated_conjecture,
v_G = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
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_empty__subsetI_0,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
cnf(c_0_8,plain,
( ~ c_in(X1,X2,X3)
| c_Set_Oinsert(X1,X2,X3) = X2 ),
inference(fof_simplification,[status(thm)],[cls_insert__absorb_0]) ).
cnf(c_0_9,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
cls_insert__iff_1 ).
cnf(c_0_10,axiom,
c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) = c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5),
cls_image__insert_0 ).
cnf(c_0_11,plain,
( ~ c_in(X1,X2,X3)
| c_Set_Oinsert(X1,X2,X3) = X2 ),
c_0_8 ).
cnf(c_0_12,negated_conjecture,
c_in(v_pn,v_U,tc_Com_Opname),
cls_conjecture_2 ).
cnf(c_0_13,negated_conjecture,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),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_3]) ).
cnf(c_0_14,plain,
c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5),X5),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
c_Set_Oinsert(v_pn,v_U,tc_Com_Opname) = v_U,
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
c_0_13 ).
cnf(c_0_17,negated_conjecture,
v_G = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
cls_conjecture_1 ).
cnf(c_0_18,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_19,negated_conjecture,
c_in(hAPP(X1,v_pn),c_Set_Oimage(X1,v_U,tc_Com_Opname,X2),X2),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)),
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,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_18 ).
cnf(c_0_22,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
cls_empty__subsetI_0 ).
cnf(c_0_23,negated_conjecture,
c_in(hAPP(v_mgt__call,v_pn),v_G,t_a),
inference(spm,[status(thm)],[c_0_19,c_0_17]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV880-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n013.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 09:29:22 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.17/0.53 % Version: 3.5.1
% 0.17/0.53 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.53 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.53 % Starting new_bool_3 with 300s (1) cores
% 0.17/0.53 % Starting new_bool_1 with 300s (1) cores
% 0.17/0.53 % Starting sh5l with 300s (1) cores
% 0.17/0.53 % new_bool_3 with pid 452898 completed with status 0
% 0.17/0.53 % Result found by new_bool_3
% 0.17/0.53 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.53 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.53 % Starting new_bool_3 with 300s (1) cores
% 0.17/0.53 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.17/0.53 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.53 % Search class: FGHSM-FSLS32-DFFFFFNN
% 0.17/0.53 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.53 % Starting SubtermCWHack with 31s (1) cores
% 0.17/0.53 % SubtermCWHack with pid 452902 completed with status 0
% 0.17/0.53 % Result found by SubtermCWHack
% 0.17/0.53 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.53 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.53 % Starting new_bool_3 with 300s (1) cores
% 0.17/0.53 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.17/0.53 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.53 % Search class: FGHSM-FSLS32-DFFFFFNN
% 0.17/0.53 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.53 % Starting SubtermCWHack with 31s (1) cores
% 0.17/0.53 % Preprocessing time : 0.003 s
% 0.17/0.53
% 0.17/0.53 % Proof found!
% 0.17/0.53 % SZS status Unsatisfiable
% 0.17/0.53 % SZS output start CNFRefutation
% See solution above
% 0.17/0.53 % Parsed axioms : 507
% 0.17/0.53 % Removed by relevancy pruning/SinE : 323
% 0.17/0.53 % Initial clauses : 184
% 0.17/0.53 % Removed in clause preprocessing : 0
% 0.17/0.53 % Initial clauses in saturation : 184
% 0.17/0.53 % Processed clauses : 946
% 0.17/0.53 % ...of these trivial : 45
% 0.17/0.53 % ...subsumed : 565
% 0.17/0.53 % ...remaining for further processing : 336
% 0.17/0.53 % Other redundant clauses eliminated : 5
% 0.17/0.53 % Clauses deleted for lack of memory : 0
% 0.17/0.53 % Backward-subsumed : 30
% 0.17/0.53 % Backward-rewritten : 14
% 0.17/0.53 % Generated clauses : 4887
% 0.17/0.53 % ...of the previous two non-redundant : 3110
% 0.17/0.53 % ...aggressively subsumed : 0
% 0.17/0.53 % Contextual simplify-reflections : 1
% 0.17/0.53 % Paramodulations : 4878
% 0.17/0.53 % Factorizations : 0
% 0.17/0.53 % NegExts : 0
% 0.17/0.53 % Equation resolutions : 9
% 0.17/0.53 % Disequality decompositions : 0
% 0.17/0.53 % Total rewrite steps : 2158
% 0.17/0.53 % ...of those cached : 1611
% 0.17/0.53 % Propositional unsat checks : 0
% 0.17/0.53 % Propositional check models : 0
% 0.17/0.53 % Propositional check unsatisfiable : 0
% 0.17/0.53 % Propositional clauses : 0
% 0.17/0.53 % Propositional clauses after purity: 0
% 0.17/0.53 % Propositional unsat core size : 0
% 0.17/0.53 % Propositional preprocessing time : 0.000
% 0.17/0.53 % Propositional encoding time : 0.000
% 0.17/0.53 % Propositional solver time : 0.000
% 0.17/0.53 % Success case prop preproc time : 0.000
% 0.17/0.53 % Success case prop encoding time : 0.000
% 0.17/0.53 % Success case prop solver time : 0.000
% 0.17/0.53 % Current number of processed clauses : 292
% 0.17/0.53 % Positive orientable unit clauses : 106
% 0.17/0.53 % Positive unorientable unit clauses: 4
% 0.17/0.53 % Negative unit clauses : 16
% 0.17/0.53 % Non-unit-clauses : 166
% 0.17/0.53 % Current number of unprocessed clauses: 2338
% 0.17/0.53 % ...number of literals in the above : 5474
% 0.17/0.53 % Current number of archived formulas : 0
% 0.17/0.53 % Current number of archived clauses : 44
% 0.17/0.53 % Clause-clause subsumption calls (NU) : 2873
% 0.17/0.53 % Rec. Clause-clause subsumption calls : 2710
% 0.17/0.53 % Non-unit clause-clause subsumptions : 461
% 0.17/0.53 % Unit Clause-clause subsumption calls : 121
% 0.17/0.53 % Rewrite failures with RHS unbound : 0
% 0.17/0.53 % BW rewrite match attempts : 176
% 0.17/0.53 % BW rewrite match successes : 40
% 0.17/0.53 % Condensation attempts : 0
% 0.17/0.53 % Condensation successes : 0
% 0.17/0.53 % Termbank termtop insertions : 79481
% 0.17/0.53 % Search garbage collected termcells : 1642
% 0.17/0.53
% 0.17/0.53 % -------------------------------------------------
% 0.17/0.53 % User time : 0.082 s
% 0.17/0.53 % System time : 0.010 s
% 0.17/0.53 % Total time : 0.092 s
% 0.17/0.53 % Maximum resident set size: 4264 pages
% 0.17/0.53
% 0.17/0.53 % -------------------------------------------------
% 0.17/0.53 % User time : 0.098 s
% 0.17/0.53 % System time : 0.013 s
% 0.17/0.53 % Total time : 0.111 s
% 0.17/0.53 % Maximum resident set size: 5120 pages
% 0.17/0.53 % E exiting
%------------------------------------------------------------------------------