%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV277-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 02:54:12 PM UTC 2026
% Result : Unsatisfiable 18.22s 2.80s
% Output : CNFRefutation 18.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 23 ( 12 unt; 4 nHn; 17 RR)
% Number of literals : 37 ( 3 equ; 17 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 : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 37 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_ODiff__iff_2,axiom,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_minus(X2,X4,tc_set(X3)),X3)
| c_in(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_ODiff__iff_2) ).
cnf(cls_conjecture_3,negated_conjecture,
c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Set_ODiff__eq__empty__iff_1,axiom,
( ~ c_lessequals(X1,X2,tc_set(X3))
| c_minus(X1,X2,tc_set(X3)) = c_emptyset ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_ODiff__eq__empty__iff_1) ).
cnf(cls_Set_Oempty__iff_0,axiom,
~ c_in(X1,c_emptyset,X2),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Oempty__iff_0) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Message_OkeysFor__mono_0,axiom,
( ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_OkeysFor(X1),c_Message_OkeysFor(X2),tc_set(tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OkeysFor__mono_0) ).
cnf(cls_Message_Oanalz__subset__parts_0,axiom,
c_lessequals(c_Message_Oanalz(X1),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__subset__parts_0) ).
cnf(c_0_7,plain,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_minus(X2,X4,tc_set(X3)),X3)
| c_in(X1,X4,X3) ),
inference(fof_simplification,[status(thm)],[cls_Set_ODiff__iff_2]) ).
cnf(c_0_8,plain,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_minus(X2,X4,tc_set(X3)),X3)
| c_in(X1,X4,X3) ),
c_0_7 ).
cnf(c_0_9,negated_conjecture,
c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat),
cls_conjecture_3 ).
cnf(c_0_10,plain,
( ~ c_lessequals(X1,X2,tc_set(X3))
| c_minus(X1,X2,tc_set(X3)) = c_emptyset ),
inference(fof_simplification,[status(thm)],[cls_Set_ODiff__eq__empty__iff_1]) ).
cnf(c_0_11,plain,
~ c_in(X1,c_emptyset,X2),
inference(fof_simplification,[status(thm)],[cls_Set_Oempty__iff_0]) ).
cnf(c_0_12,negated_conjecture,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
inference(fof_simplification,[status(thm)],[cls_conjecture_2]) ).
cnf(c_0_13,negated_conjecture,
( c_in(v_K,X1,tc_nat)
| c_in(v_K,c_minus(c_Message_OkeysFor(c_Message_Oanalz(v_H)),X1,tc_set(tc_nat)),tc_nat) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,plain,
( ~ c_lessequals(X1,X2,tc_set(X3))
| c_minus(X1,X2,tc_set(X3)) = c_emptyset ),
c_0_10 ).
cnf(c_0_15,plain,
~ c_in(X1,c_emptyset,X2),
c_0_11 ).
cnf(c_0_16,negated_conjecture,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
c_0_12 ).
cnf(c_0_17,negated_conjecture,
( ~ c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(v_H)),X1,tc_set(tc_nat))
| c_in(v_K,X1,tc_nat) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_18,plain,
( ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_OkeysFor(X1),c_Message_OkeysFor(X2),tc_set(tc_nat)) ),
inference(fof_simplification,[status(thm)],[cls_Message_OkeysFor__mono_0]) ).
cnf(c_0_19,negated_conjecture,
~ c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(v_H)),c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_set(tc_nat)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
( ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_OkeysFor(X1),c_Message_OkeysFor(X2),tc_set(tc_nat)) ),
c_0_18 ).
cnf(c_0_21,axiom,
c_lessequals(c_Message_Oanalz(X1),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)),
cls_Message_Oanalz__subset__parts_0 ).
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 : SWV277-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.35 % Computer : n018.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 08:39:58 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 18.22/2.80 % Version: 3.5.1
% 18.22/2.80 % Preprocessing class: FMLMSMSMSSSNFFN.
% 18.22/2.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.22/2.80 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 18.22/2.80 % Starting new_bool_3 with 300s (1) cores
% 18.22/2.80 % Starting new_bool_1 with 300s (1) cores
% 18.22/2.80 % Starting sh5l with 300s (1) cores
% 18.22/2.80 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1477835 completed with status 0
% 18.22/2.80 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 18.22/2.80 % Preprocessing class: FMLMSMSMSSSNFFN.
% 18.22/2.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.22/2.80 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 18.22/2.80 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 18.22/2.80 % No SInE strategy applied
% 18.22/2.80 % Search class: FGHSM-SMLM32-DFFFFFNN
% 18.22/2.80 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 18.22/2.80 % Starting SubtermCWHack with 136s (1) cores
% 18.22/2.80 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 18.22/2.80 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 18.22/2.80 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 18.22/2.80 % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 18.22/2.80 % G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 1477855 completed with status 0
% 18.22/2.80 % Result found by G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 18.22/2.80 % Preprocessing class: FMLMSMSMSSSNFFN.
% 18.22/2.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.22/2.80 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 18.22/2.80 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 18.22/2.80 % No SInE strategy applied
% 18.22/2.80 % Search class: FGHSM-SMLM32-DFFFFFNN
% 18.22/2.80 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 18.22/2.80 % Starting SubtermCWHack with 136s (1) cores
% 18.22/2.80 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 18.22/2.80 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 18.22/2.80 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 18.22/2.80 % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 18.22/2.80 % Preprocessing time : 0.044 s
% 18.22/2.80 % Presaturation interreduction done
% 18.22/2.80
% 18.22/2.80 % Proof found!
% 18.22/2.80 % SZS status Unsatisfiable
% 18.22/2.80 % SZS output start CNFRefutation
% See solution above
% 18.22/2.80 % Parsed axioms : 2899
% 18.22/2.80 % Removed by relevancy pruning/SinE : 0
% 18.22/2.80 % Initial clauses : 2899
% 18.22/2.80 % Removed in clause preprocessing : 12
% 18.22/2.80 % Initial clauses in saturation : 2887
% 18.22/2.80 % Processed clauses : 14557
% 18.22/2.80 % ...of these trivial : 96
% 18.22/2.80 % ...subsumed : 7630
% 18.22/2.80 % ...remaining for further processing : 6831
% 18.22/2.80 % Other redundant clauses eliminated : 271
% 18.22/2.80 % Clauses deleted for lack of memory : 0
% 18.22/2.80 % Backward-subsumed : 118
% 18.22/2.80 % Backward-rewritten : 330
% 18.22/2.80 % Generated clauses : 35059
% 18.22/2.80 % ...of the previous two non-redundant : 30751
% 18.22/2.80 % ...aggressively subsumed : 0
% 18.22/2.80 % Contextual simplify-reflections : 30
% 18.22/2.80 % Paramodulations : 34722
% 18.22/2.80 % Factorizations : 6
% 18.22/2.80 % NegExts : 0
% 18.22/2.80 % Equation resolutions : 331
% 18.22/2.80 % Disequality decompositions : 0
% 18.22/2.80 % Total rewrite steps : 17371
% 18.22/2.80 % ...of those cached : 15355
% 18.22/2.80 % Propositional unsat checks : 1
% 18.22/2.80 % Propositional check models : 1
% 18.22/2.80 % Propositional check unsatisfiable : 0
% 18.22/2.80 % Propositional clauses : 0
% 18.22/2.80 % Propositional clauses after purity: 0
% 18.22/2.80 % Propositional unsat core size : 0
% 18.22/2.80 % Propositional preprocessing time : 0.000
% 18.22/2.80 % Propositional encoding time : 0.010
% 18.22/2.80 % Propositional solver time : 0.012
% 18.22/2.80 % Success case prop preproc time : 0.000
% 18.22/2.80 % Success case prop encoding time : 0.000
% 18.22/2.80 % Success case prop solver time : 0.000
% 18.22/2.80 % Current number of processed clauses : 3656
% 18.22/2.80 % Positive orientable unit clauses : 642
% 18.22/2.80 % Positive unorientable unit clauses: 27
% 18.22/2.80 % Negative unit clauses : 358
% 18.22/2.80 % Non-unit-clauses : 2629
% 18.22/2.80 % Current number of unprocessed clauses: 20288
% 18.22/2.80 % ...number of literals in the above : 51261
% 18.22/2.80 % Current number of archived formulas : 0
% 18.22/2.80 % Current number of archived clauses : 3185
% 18.22/2.80 % Clause-clause subsumption calls (NU) : 5271829
% 18.22/2.80 % Rec. Clause-clause subsumption calls : 3617591
% 18.22/2.80 % Non-unit clause-clause subsumptions : 4664
% 18.22/2.80 % Unit Clause-clause subsumption calls : 165595
% 18.22/2.80 % Rewrite failures with RHS unbound : 0
% 18.22/2.80 % BW rewrite match attempts : 1215
% 18.22/2.80 % BW rewrite match successes : 155
% 18.22/2.80 % Condensation attempts : 0
% 18.22/2.80 % Condensation successes : 0
% 18.22/2.80 % Termbank termtop insertions : 601671
% 18.22/2.80 % Search garbage collected termcells : 4191
% 18.22/2.80
% 18.22/2.80 % -------------------------------------------------
% 18.22/2.80 % User time : 2.151 s
% 18.22/2.80 % System time : 0.056 s
% 18.22/2.80 % Total time : 2.207 s
% 18.22/2.80 % Maximum resident set size: 8784 pages
% 18.22/2.80
% 18.22/2.80 % -------------------------------------------------
% 18.22/2.80 % User time : 10.699 s
% 18.22/2.80 % System time : 0.377 s
% 18.22/2.80 % Total time : 11.076 s
% 18.22/2.80 % Maximum resident set size: 6400 pages
% 18.22/2.80 % E exiting
%------------------------------------------------------------------------------