%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV331-1 : 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 : n005.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 02:54:25 PM UTC 2026
% Result : Unsatisfiable 3.55s 1.26s
% Output : CNFRefutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 11 unt; 0 nHn; 17 RR)
% Number of literals : 32 ( 0 equ; 18 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 15 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Public_OCrypt__imp__keysFor_0,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| c_in(X1,c_Message_OkeysFor(X3),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV005-6.ax',cls_Public_OCrypt__imp__keysFor_0) ).
cnf(cls_Yahalom_Onew__keys__not__used_0,axiom,
( ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat)
| c_in(c_Message_Omsg_OKey(X1),c_Event_Oused(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV005-5.ax',cls_Yahalom_Onew__keys__not__used_0) ).
cnf(cls_conjecture_5,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_6,plain,
( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| c_in(X1,c_Message_OkeysFor(X3),tc_nat) ),
inference(fof_simplification,[status(thm)],[cls_Public_OCrypt__imp__keysFor_0]) ).
cnf(c_0_7,plain,
( ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat)
| c_in(c_Message_Omsg_OKey(X1),c_Event_Oused(X2),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Yahalom_Onew__keys__not__used_0]) ).
cnf(c_0_8,plain,
( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| c_in(X1,c_Message_OkeysFor(X3),tc_nat) ),
c_0_6 ).
cnf(c_0_9,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
cls_conjecture_5 ).
cnf(c_0_10,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
cls_conjecture_2 ).
cnf(c_0_11,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).
cnf(c_0_12,plain,
( ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat)
| c_in(c_Message_Omsg_OKey(X1),c_Event_Oused(X2),tc_Message_Omsg) ),
c_0_7 ).
cnf(c_0_13,negated_conjecture,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).
cnf(c_0_14,negated_conjecture,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
cls_conjecture_0 ).
cnf(c_0_15,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
c_0_11 ).
cnf(c_0_16,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_10])]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV331-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.46 % Computer : n005.cluster.edu
% 0.18/0.46 % Model : x86_64 x86_64
% 0.18/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.46 % Memory : 8046.5625MB
% 0.18/0.46 % OS : Linux 6.8.0-71-generic
% 0.18/0.46 % CPULimit : 300
% 0.18/0.46 % WCLimit : 300
% 0.18/0.46 % DateTime : Mon Sep 21 08:41:03 UTC 2026
% 0.18/0.47 % CPUTime :
% 0.18/0.47 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.52 Running first-order theorem proving
% 0.18/0.52 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
% 3.55/1.26 % Version: 3.5.1
% 3.55/1.26 % Preprocessing class: FMLMSMSMSSSNFFN.
% 3.55/1.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.55/1.26 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.55/1.26 % Starting new_bool_3 with 300s (1) cores
% 3.55/1.26 % Starting new_bool_1 with 300s (1) cores
% 3.55/1.26 % Starting sh5l with 300s (1) cores
% 3.55/1.26 % new_bool_3 with pid 3053563 completed with status 0
% 3.55/1.26 % Result found by new_bool_3
% 3.55/1.26 % Preprocessing class: FMLMSMSMSSSNFFN.
% 3.55/1.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.55/1.26 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.55/1.26 % Starting new_bool_3 with 300s (1) cores
% 3.55/1.26 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 3.55/1.26 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.55/1.26 % Search class: FGHSM-FSLM31-DFFFFFNN
% 3.55/1.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 3.55/1.26 % Starting SubtermCWHack with 28s (1) cores
% 3.55/1.26 % SubtermCWHack with pid 3053566 completed with status 0
% 3.55/1.26 % Result found by SubtermCWHack
% 3.55/1.26 % Preprocessing class: FMLMSMSMSSSNFFN.
% 3.55/1.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.55/1.26 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.55/1.26 % Starting new_bool_3 with 300s (1) cores
% 3.55/1.26 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 3.55/1.26 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.55/1.26 % Search class: FGHSM-FSLM31-DFFFFFNN
% 3.55/1.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 3.55/1.26 % Starting SubtermCWHack with 28s (1) cores
% 3.55/1.26 % Preprocessing time : 0.012 s
% 3.55/1.26
% 3.55/1.26 % Proof found!
% 3.55/1.26 % SZS status Unsatisfiable
% 3.55/1.26 % SZS output start CNFRefutation
% See solution above
% 3.55/1.26 % Parsed axioms : 2969
% 3.55/1.26 % Removed by relevancy pruning/SinE : 2350
% 3.55/1.26 % Initial clauses : 619
% 3.55/1.26 % Removed in clause preprocessing : 0
% 3.55/1.26 % Initial clauses in saturation : 619
% 3.55/1.26 % Processed clauses : 3663
% 3.55/1.26 % ...of these trivial : 107
% 3.55/1.26 % ...subsumed : 2441
% 3.55/1.26 % ...remaining for further processing : 1115
% 3.55/1.26 % Other redundant clauses eliminated : 168
% 3.55/1.26 % Clauses deleted for lack of memory : 0
% 3.55/1.26 % Backward-subsumed : 35
% 3.55/1.26 % Backward-rewritten : 34
% 3.55/1.26 % Generated clauses : 13453
% 3.55/1.26 % ...of the previous two non-redundant : 9599
% 3.55/1.26 % ...aggressively subsumed : 0
% 3.55/1.26 % Contextual simplify-reflections : 1
% 3.55/1.26 % Paramodulations : 13245
% 3.55/1.26 % Factorizations : 0
% 3.55/1.26 % NegExts : 0
% 3.55/1.26 % Equation resolutions : 208
% 3.55/1.26 % Disequality decompositions : 0
% 3.55/1.26 % Total rewrite steps : 7094
% 3.55/1.26 % ...of those cached : 6080
% 3.55/1.26 % Propositional unsat checks : 0
% 3.55/1.26 % Propositional check models : 0
% 3.55/1.26 % Propositional check unsatisfiable : 0
% 3.55/1.26 % Propositional clauses : 0
% 3.55/1.26 % Propositional clauses after purity: 0
% 3.55/1.26 % Propositional unsat core size : 0
% 3.55/1.26 % Propositional preprocessing time : 0.000
% 3.55/1.26 % Propositional encoding time : 0.000
% 3.55/1.26 % Propositional solver time : 0.000
% 3.55/1.26 % Success case prop preproc time : 0.000
% 3.55/1.26 % Success case prop encoding time : 0.000
% 3.55/1.26 % Success case prop solver time : 0.000
% 3.55/1.26 % Current number of processed clauses : 1046
% 3.55/1.26 % Positive orientable unit clauses : 311
% 3.55/1.26 % Positive unorientable unit clauses: 8
% 3.55/1.26 % Negative unit clauses : 232
% 3.55/1.26 % Non-unit-clauses : 495
% 3.55/1.26 % Current number of unprocessed clauses: 6493
% 3.55/1.26 % ...number of literals in the above : 13050
% 3.55/1.26 % Current number of archived formulas : 0
% 3.55/1.26 % Current number of archived clauses : 69
% 3.55/1.26 % Clause-clause subsumption calls (NU) : 67628
% 3.55/1.26 % Rec. Clause-clause subsumption calls : 44074
% 3.55/1.26 % Non-unit clause-clause subsumptions : 530
% 3.55/1.26 % Unit Clause-clause subsumption calls : 17440
% 3.55/1.26 % Rewrite failures with RHS unbound : 4
% 3.55/1.26 % BW rewrite match attempts : 571
% 3.55/1.26 % BW rewrite match successes : 69
% 3.55/1.26 % Condensation attempts : 0
% 3.55/1.26 % Condensation successes : 0
% 3.55/1.26 % Termbank termtop insertions : 178575
% 3.55/1.26 % Search garbage collected termcells : 7712
% 3.55/1.26
% 3.55/1.26 % -------------------------------------------------
% 3.55/1.26 % User time : 0.415 s
% 3.55/1.26 % System time : 0.029 s
% 3.55/1.26 % Total time : 0.444 s
% 3.55/1.26 % Maximum resident set size: 6600 pages
% 3.55/1.26
% 3.55/1.26 % -------------------------------------------------
% 3.55/1.26 % User time : 0.515 s
% 3.55/1.26 % System time : 0.041 s
% 3.55/1.26 % Total time : 0.557 s
% 3.55/1.26 % Maximum resident set size: 6400 pages
% 3.55/1.26 % E exiting
%------------------------------------------------------------------------------