%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV338-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 02:54:27 PM UTC 2026
% Result : Unsatisfiable 25.53s 4.00s
% Output : CNFRefutation 25.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of clauses : 33 ( 19 unt; 5 nHn; 27 RR)
% Number of literals : 56 ( 10 equ; 23 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-3 aty)
% Number of variables : 38 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Event_OkeysFor__parts__insert__dest_0,axiom,
( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X4)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg))),tc_nat)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oparts(X4),tc_Message_Omsg)
| c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_union(X3,X4,tc_Message_Omsg))),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OkeysFor__parts__insert__dest_0) ).
cnf(cls_Public_OinvKey__K_0,axiom,
( ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| c_Message_OinvKey(X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV005-3.ax',cls_Public_OinvKey__K_0) ).
cnf(cls_Message_Oparts__Un_0,axiom,
c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)) = c_union(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV005-0.ax',cls_Message_Oparts__Un_0) ).
cnf(cls_Message_OkeysFor__Un_0,axiom,
c_Message_OkeysFor(c_union(X1,X2,tc_Message_Omsg)) = c_union(c_Message_OkeysFor(X1),c_Message_OkeysFor(X2),tc_nat),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV005-0.ax',cls_Message_OkeysFor__Un_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_6,negated_conjecture,
( ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)
| c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_conjecture_4,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,axiom,
( ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| c_in(X1,c_Event_Oused(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV005-2.ax',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).
cnf(cls_conjecture_5,negated_conjecture,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Set_OUn__absorb_0,axiom,
c_union(X1,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__absorb_0) ).
cnf(c_0_11,plain,
( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X4)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg))),tc_nat)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oparts(X4),tc_Message_Omsg)
| c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_union(X3,X4,tc_Message_Omsg))),tc_nat) ),
inference(fof_simplification,[status(thm)],[cls_Event_OkeysFor__parts__insert__dest_0]) ).
cnf(c_0_12,plain,
( ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| c_Message_OinvKey(X1) = X1 ),
inference(fof_simplification,[status(thm)],[cls_Public_OinvKey__K_0]) ).
cnf(c_0_13,plain,
( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X4)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg))),tc_nat)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oparts(X4),tc_Message_Omsg)
| c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_union(X3,X4,tc_Message_Omsg))),tc_nat) ),
c_0_11 ).
cnf(c_0_14,axiom,
c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)) = c_union(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_Message_Omsg),
cls_Message_Oparts__Un_0 ).
cnf(c_0_15,axiom,
c_Message_OkeysFor(c_union(X1,X2,tc_Message_Omsg)) = c_union(c_Message_OkeysFor(X1),c_Message_OkeysFor(X2),tc_nat),
cls_Message_OkeysFor__Un_0 ).
cnf(c_0_16,plain,
( ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| c_Message_OinvKey(X1) = X1 ),
c_0_12 ).
cnf(c_0_17,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
cls_conjecture_0 ).
cnf(c_0_18,negated_conjecture,
( ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)
| c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_6]) ).
cnf(c_0_19,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
inference(fof_simplification,[status(thm)],[cls_conjecture_4]) ).
cnf(c_0_20,plain,
( ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| c_in(X1,c_Event_Oused(X2),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0]) ).
cnf(c_0_21,plain,
( ~ c_in(X4,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_insert(X4,X2,tc_Message_Omsg))),tc_nat)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oparts(X3),tc_Message_Omsg)
| c_in(X1,c_union(c_Message_OkeysFor(c_Message_Oparts(X2)),c_Message_OkeysFor(c_Message_Oparts(X3)),tc_nat),tc_nat) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_22,negated_conjecture,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat),
cls_conjecture_5 ).
cnf(c_0_23,negated_conjecture,
c_Message_OinvKey(v_K) = v_K,
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_24,negated_conjecture,
( ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)
| c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg) ),
c_0_18 ).
cnf(c_0_25,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
c_0_19 ).
cnf(c_0_26,plain,
( ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| c_in(X1,c_Event_Oused(X2),tc_Message_Omsg) ),
c_0_20 ).
cnf(c_0_27,negated_conjecture,
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(v_K,c_union(c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_OkeysFor(c_Message_Oparts(X1)),tc_nat),tc_nat) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_28,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
cls_conjecture_2 ).
cnf(c_0_29,axiom,
c_union(X1,X1,X2) = X1,
cls_Set_OUn__absorb_0 ).
cnf(c_0_30,negated_conjecture,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat),
inference(sr,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30]),c_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV338-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 08:42:05 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.45 Running first-order theorem proving
% 0.15/0.45 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
% 25.53/4.00 % Version: 3.5.1
% 25.53/4.00 % Preprocessing class: FMLMSMSMSSSNFFN.
% 25.53/4.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 25.53/4.00 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 25.53/4.00 % Starting new_bool_3 with 300s (1) cores
% 25.53/4.00 % Starting new_bool_1 with 300s (1) cores
% 25.53/4.00 % Starting sh5l with 300s (1) cores
% 25.53/4.00 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2176650 completed with status 0
% 25.53/4.00 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 25.53/4.00 % Preprocessing class: FMLMSMSMSSSNFFN.
% 25.53/4.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 25.53/4.00 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 25.53/4.00 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 25.53/4.00 % No SInE strategy applied
% 25.53/4.00 % Search class: FGHSM-SMLM32-DFFFFFNN
% 25.53/4.00 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 25.53/4.00 % Starting SubtermCWHack with 136s (1) cores
% 25.53/4.00 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 25.53/4.00 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 25.53/4.00 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 25.53/4.00 % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 25.53/4.00 % G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 2176661 completed with status 0
% 25.53/4.00 % Result found by G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 25.53/4.00 % Preprocessing class: FMLMSMSMSSSNFFN.
% 25.53/4.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 25.53/4.00 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 25.53/4.00 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 25.53/4.00 % No SInE strategy applied
% 25.53/4.00 % Search class: FGHSM-SMLM32-DFFFFFNN
% 25.53/4.00 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 25.53/4.00 % Starting SubtermCWHack with 136s (1) cores
% 25.53/4.00 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 25.53/4.00 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 25.53/4.00 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 25.53/4.00 % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 25.53/4.00 % Preprocessing time : 0.052 s
% 25.53/4.00 % Presaturation interreduction done
% 25.53/4.00
% 25.53/4.00 % Proof found!
% 25.53/4.00 % SZS status Unsatisfiable
% 25.53/4.00 % SZS output start CNFRefutation
% See solution above
% 25.53/4.00 % Parsed axioms : 2948
% 25.53/4.00 % Removed by relevancy pruning/SinE : 0
% 25.53/4.00 % Initial clauses : 2948
% 25.53/4.00 % Removed in clause preprocessing : 12
% 25.53/4.00 % Initial clauses in saturation : 2936
% 25.53/4.00 % Processed clauses : 13411
% 25.53/4.00 % ...of these trivial : 80
% 25.53/4.00 % ...subsumed : 6588
% 25.53/4.00 % ...remaining for further processing : 6743
% 25.53/4.00 % Other redundant clauses eliminated : 218
% 25.53/4.00 % Clauses deleted for lack of memory : 0
% 25.53/4.00 % Backward-subsumed : 77
% 25.53/4.00 % Backward-rewritten : 308
% 25.53/4.00 % Generated clauses : 33503
% 25.53/4.00 % ...of the previous two non-redundant : 29862
% 25.53/4.00 % ...aggressively subsumed : 0
% 25.53/4.00 % Contextual simplify-reflections : 25
% 25.53/4.00 % Paramodulations : 33217
% 25.53/4.00 % Factorizations : 6
% 25.53/4.00 % NegExts : 0
% 25.53/4.00 % Equation resolutions : 280
% 25.53/4.00 % Disequality decompositions : 0
% 25.53/4.00 % Total rewrite steps : 11501
% 25.53/4.00 % ...of those cached : 9613
% 25.53/4.00 % Propositional unsat checks : 1
% 25.53/4.00 % Propositional check models : 1
% 25.53/4.00 % Propositional check unsatisfiable : 0
% 25.53/4.00 % Propositional clauses : 0
% 25.53/4.00 % Propositional clauses after purity: 0
% 25.53/4.00 % Propositional unsat core size : 0
% 25.53/4.00 % Propositional preprocessing time : 0.000
% 25.53/4.00 % Propositional encoding time : 0.014
% 25.53/4.00 % Propositional solver time : 0.016
% 25.53/4.00 % Success case prop preproc time : 0.000
% 25.53/4.00 % Success case prop encoding time : 0.000
% 25.53/4.00 % Success case prop solver time : 0.000
% 25.53/4.00 % Current number of processed clauses : 3587
% 25.53/4.00 % Positive orientable unit clauses : 697
% 25.53/4.00 % Positive unorientable unit clauses: 31
% 25.53/4.00 % Negative unit clauses : 418
% 25.53/4.00 % Non-unit-clauses : 2441
% 25.53/4.00 % Current number of unprocessed clauses: 19487
% 25.53/4.00 % ...number of literals in the above : 50893
% 25.53/4.00 % Current number of archived formulas : 0
% 25.53/4.00 % Current number of archived clauses : 3166
% 25.53/4.00 % Clause-clause subsumption calls (NU) : 4746839
% 25.53/4.00 % Rec. Clause-clause subsumption calls : 3360415
% 25.53/4.00 % Non-unit clause-clause subsumptions : 4190
% 25.53/4.00 % Unit Clause-clause subsumption calls : 139403
% 25.53/4.00 % Rewrite failures with RHS unbound : 0
% 25.53/4.00 % BW rewrite match attempts : 1329
% 25.53/4.00 % BW rewrite match successes : 147
% 25.53/4.00 % Condensation attempts : 0
% 25.53/4.00 % Condensation successes : 0
% 25.53/4.00 % Termbank termtop insertions : 532143
% 25.53/4.00 % Search garbage collected termcells : 4268
% 25.53/4.00
% 25.53/4.00 % -------------------------------------------------
% 25.53/4.00 % User time : 3.231 s
% 25.53/4.00 % System time : 0.096 s
% 25.53/4.00 % Total time : 3.327 s
% 25.53/4.00 % Maximum resident set size: 8872 pages
% 25.53/4.00
% 25.53/4.00 % -------------------------------------------------
% 25.53/4.00 % User time : 15.761 s
% 25.53/4.00 % System time : 0.469 s
% 25.53/4.00 % Total time : 16.230 s
% 25.53/4.00 % Maximum resident set size: 6400 pages
% 25.53/4.00 % E exiting
%------------------------------------------------------------------------------