%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV328-1 : 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 : 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 02:54:24 PM UTC 2026
% Result : Unsatisfiable 9.43s 1.70s
% Output : CNFRefutation 9.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 26 ( 14 unt; 6 nHn; 26 RR)
% Number of literals : 47 ( 0 equ; 21 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-3 aty)
% Number of variables : 36 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom,
( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X1,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV005-4.ax',cls_Message_OFake__parts__insert__in__Un__dest_0) ).
cnf(cls_Set_OUn__iff_0,axiom,
( ~ c_in(X1,c_union(X2,X3,X4),X4)
| c_in(X1,X2,X4)
| c_in(X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__iff_0) ).
cnf(cls_conjecture_3,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_1,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_6,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_evsf)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_Message_OCrypt__synth__eq_0,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OCrypt__synth__eq_0) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Message_Oanalz__conj__parts_0,axiom,
( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oanalz__conj__parts_0) ).
cnf(c_0_8,plain,
( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X1,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Message_OFake__parts__insert__in__Un__dest_0]) ).
cnf(c_0_9,plain,
( ~ c_in(X1,c_union(X2,X3,X4),X4)
| c_in(X1,X2,X4)
| c_in(X1,X3,X4) ),
inference(fof_simplification,[status(thm)],[cls_Set_OUn__iff_0]) ).
cnf(c_0_10,plain,
( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X1,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg) ),
c_0_8 ).
cnf(c_0_11,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
cls_conjecture_3 ).
cnf(c_0_12,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_1 ).
cnf(c_0_13,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_evsf)),tc_Message_Omsg),
inference(fof_simplification,[status(thm)],[cls_conjecture_6]) ).
cnf(c_0_14,plain,
( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Message_OCrypt__synth__eq_0]) ).
cnf(c_0_15,plain,
( ~ c_in(X1,c_union(X2,X3,X4),X4)
| c_in(X1,X2,X4)
| c_in(X1,X3,X4) ),
c_0_9 ).
cnf(c_0_16,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).
cnf(c_0_17,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_evsf)),tc_Message_Omsg),
c_0_13 ).
cnf(c_0_18,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(fof_simplification,[status(thm)],[cls_conjecture_2]) ).
cnf(c_0_19,plain,
( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Message_Oanalz__conj__parts_0]) ).
cnf(c_0_20,plain,
( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg) ),
c_0_14 ).
cnf(c_0_21,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
cnf(c_0_22,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
c_0_18 ).
cnf(c_0_23,plain,
( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
c_0_19 ).
cnf(c_0_24,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_25,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV328-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n005.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 21 08:41:20 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 9.43/1.70 % Version: 3.5.1
% 9.43/1.70 % Preprocessing class: FMLMSMSMSSSNFFN.
% 9.43/1.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.43/1.70 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 9.43/1.70 % Starting new_bool_3 with 300s (1) cores
% 9.43/1.70 % Starting new_bool_1 with 300s (1) cores
% 9.43/1.70 % Starting sh5l with 300s (1) cores
% 9.43/1.70 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3054438 completed with status 0
% 9.43/1.70 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 9.43/1.70 % Preprocessing class: FMLMSMSMSSSNFFN.
% 9.43/1.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.43/1.70 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 9.43/1.70 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 9.43/1.70 % No SInE strategy applied
% 9.43/1.70 % Search class: FGHSM-SMLM32-DFFFFFNN
% 9.43/1.70 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 9.43/1.70 % Starting SubtermCWHack with 136s (1) cores
% 9.43/1.70 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 9.43/1.70 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 9.43/1.70 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 9.43/1.70 % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 9.43/1.70 % G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 3054465 completed with status 0
% 9.43/1.70 % Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 9.43/1.70 % Preprocessing class: FMLMSMSMSSSNFFN.
% 9.43/1.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.43/1.70 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 9.43/1.70 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 9.43/1.70 % No SInE strategy applied
% 9.43/1.70 % Search class: FGHSM-SMLM32-DFFFFFNN
% 9.43/1.70 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 9.43/1.70 % Starting SubtermCWHack with 136s (1) cores
% 9.43/1.70 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 9.43/1.70 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 9.43/1.70 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 9.43/1.70 % Preprocessing time : 0.031 s
% 9.43/1.70
% 9.43/1.70 % Proof found!
% 9.43/1.70 % SZS status Unsatisfiable
% 9.43/1.70 % SZS output start CNFRefutation
% See solution above
% 9.43/1.70 % Parsed axioms : 2969
% 9.43/1.70 % Removed by relevancy pruning/SinE : 0
% 9.43/1.70 % Initial clauses : 2969
% 9.43/1.70 % Removed in clause preprocessing : 12
% 9.43/1.70 % Initial clauses in saturation : 2957
% 9.43/1.70 % Processed clauses : 3203
% 9.43/1.70 % ...of these trivial : 33
% 9.43/1.70 % ...subsumed : 267
% 9.43/1.70 % ...remaining for further processing : 2903
% 9.43/1.70 % Other redundant clauses eliminated : 211
% 9.43/1.70 % Clauses deleted for lack of memory : 0
% 9.43/1.70 % Backward-subsumed : 6
% 9.43/1.70 % Backward-rewritten : 16
% 9.43/1.70 % Generated clauses : 27253
% 9.43/1.70 % ...of the previous two non-redundant : 22492
% 9.43/1.70 % ...aggressively subsumed : 0
% 9.43/1.70 % Contextual simplify-reflections : 2
% 9.43/1.70 % Paramodulations : 26970
% 9.43/1.70 % Factorizations : 1
% 9.43/1.70 % NegExts : 0
% 9.43/1.70 % Equation resolutions : 282
% 9.43/1.70 % Disequality decompositions : 0
% 9.43/1.70 % Total rewrite steps : 12436
% 9.43/1.70 % ...of those cached : 10771
% 9.43/1.70 % Propositional unsat checks : 0
% 9.43/1.70 % Propositional check models : 0
% 9.43/1.70 % Propositional check unsatisfiable : 0
% 9.43/1.70 % Propositional clauses : 0
% 9.43/1.70 % Propositional clauses after purity: 0
% 9.43/1.70 % Propositional unsat core size : 0
% 9.43/1.70 % Propositional preprocessing time : 0.000
% 9.43/1.70 % Propositional encoding time : 0.000
% 9.43/1.70 % Propositional solver time : 0.000
% 9.43/1.70 % Success case prop preproc time : 0.000
% 9.43/1.70 % Success case prop encoding time : 0.000
% 9.43/1.70 % Success case prop solver time : 0.000
% 9.43/1.70 % Current number of processed clauses : 2881
% 9.43/1.70 % Positive orientable unit clauses : 642
% 9.43/1.70 % Positive unorientable unit clauses: 18
% 9.43/1.70 % Negative unit clauses : 84
% 9.43/1.70 % Non-unit-clauses : 2137
% 9.43/1.70 % Current number of unprocessed clauses: 22243
% 9.43/1.70 % ...number of literals in the above : 81040
% 9.43/1.70 % Current number of archived formulas : 0
% 9.43/1.70 % Current number of archived clauses : 32
% 9.43/1.70 % Clause-clause subsumption calls (NU) : 2098930
% 9.43/1.70 % Rec. Clause-clause subsumption calls : 1143050
% 9.43/1.70 % Non-unit clause-clause subsumptions : 107
% 9.43/1.70 % Unit Clause-clause subsumption calls : 93480
% 9.43/1.70 % Rewrite failures with RHS unbound : 3
% 9.43/1.70 % BW rewrite match attempts : 424
% 9.43/1.70 % BW rewrite match successes : 38
% 9.43/1.70 % Condensation attempts : 0
% 9.43/1.70 % Condensation successes : 0
% 9.43/1.70 % Termbank termtop insertions : 537143
% 9.43/1.70 % Search garbage collected termcells : 4328
% 9.43/1.70
% 9.43/1.70 % -------------------------------------------------
% 9.43/1.70 % User time : 1.067 s
% 9.43/1.70 % System time : 0.058 s
% 9.43/1.70 % Total time : 1.125 s
% 9.43/1.70 % Maximum resident set size: 8904 pages
% 9.43/1.70
% 9.43/1.70 % -------------------------------------------------
% 9.43/1.70 % User time : 5.426 s
% 9.43/1.70 % System time : 0.206 s
% 9.43/1.70 % Total time : 5.632 s
% 9.43/1.70 % Maximum resident set size: 6656 pages
% 9.43/1.70 % E exiting
%------------------------------------------------------------------------------