%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV776-1 : 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 : n011.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 02:59:55 PM UTC 2026
% Result : Unsatisfiable 0.33s 0.74s
% Output : CNFRefutation 0.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 16 ( 5 unt; 2 nHn; 9 RR)
% Number of literals : 27 ( 14 equ; 13 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 19 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_self__append__conv2_1,axiom,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_self__append__conv2_1) ).
cnf(cls_knows__Spy__Notes_1,axiom,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Notes_1) ).
cnf(cls_knows__Spy__Notes_0,axiom,
( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Notes_0) ).
cnf(c_0_5,negated_conjecture,
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_6,negated_conjecture,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).
cnf(c_0_7,negated_conjecture,
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
c_0_5 ).
cnf(c_0_8,axiom,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
cls_self__append__conv2_1 ).
cnf(c_0_9,axiom,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3) ),
cls_knows__Spy__Notes_1 ).
cnf(c_0_10,negated_conjecture,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ),
c_0_6 ).
cnf(c_0_11,negated_conjecture,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).
cnf(c_0_12,plain,
( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_knows__Spy__Notes_0]) ).
cnf(c_0_13,negated_conjecture,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_8]),c_0_11])]) ).
cnf(c_0_14,plain,
( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg) ),
c_0_12 ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV776-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.46 % Computer : n011.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Mon Sep 21 09:24:55 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.47 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.54 Running first-order theorem proving
% 0.25/0.54 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
% 0.33/0.74 % Version: 3.5.1
% 0.33/0.74 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.33/0.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.33/0.74 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.33/0.74 % Starting new_bool_3 with 300s (1) cores
% 0.33/0.74 % Starting new_bool_1 with 300s (1) cores
% 0.33/0.74 % Starting sh5l with 300s (1) cores
% 0.33/0.74 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1555472 completed with status 0
% 0.33/0.74 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.33/0.74 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.33/0.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.33/0.74 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.33/0.74 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.33/0.74 % No SInE strategy applied
% 0.33/0.74 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.33/0.74 % Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 0.33/0.74 % Starting SubtermCWHack with 136s (1) cores
% 0.33/0.74 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.33/0.74 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 123s (1) cores
% 0.33/0.74 % Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 0.33/0.74 % Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 123s (1) cores
% 0.33/0.74 % G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with pid 1555480 completed with status 0
% 0.33/0.74 % Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N
% 0.33/0.74 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.33/0.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.33/0.74 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.33/0.74 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.33/0.74 % No SInE strategy applied
% 0.33/0.74 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.33/0.74 % Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 0.33/0.74 % Starting SubtermCWHack with 136s (1) cores
% 0.33/0.74 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.33/0.74 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 123s (1) cores
% 0.33/0.74 % Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 0.33/0.74 % Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 123s (1) cores
% 0.33/0.74 % Preprocessing time : 0.011 s
% 0.33/0.74 % Presaturation interreduction done
% 0.33/0.74
% 0.33/0.74 % Proof found!
% 0.33/0.74 % SZS status Unsatisfiable
% 0.33/0.74 % SZS output start CNFRefutation
% See solution above
% 0.33/0.74 % Parsed axioms : 498
% 0.33/0.74 % Removed by relevancy pruning/SinE : 0
% 0.33/0.74 % Initial clauses : 498
% 0.33/0.74 % Removed in clause preprocessing : 1
% 0.33/0.74 % Initial clauses in saturation : 497
% 0.33/0.74 % Processed clauses : 653
% 0.33/0.74 % ...of these trivial : 41
% 0.33/0.74 % ...subsumed : 60
% 0.33/0.74 % ...remaining for further processing : 552
% 0.33/0.74 % Other redundant clauses eliminated : 5
% 0.33/0.74 % Clauses deleted for lack of memory : 0
% 0.33/0.74 % Backward-subsumed : 0
% 0.33/0.74 % Backward-rewritten : 6
% 0.33/0.74 % Generated clauses : 160
% 0.33/0.74 % ...of the previous two non-redundant : 78
% 0.33/0.74 % ...aggressively subsumed : 0
% 0.33/0.74 % Contextual simplify-reflections : 3
% 0.33/0.74 % Paramodulations : 135
% 0.33/0.74 % Factorizations : 0
% 0.33/0.74 % NegExts : 0
% 0.33/0.74 % Equation resolutions : 25
% 0.33/0.74 % Disequality decompositions : 0
% 0.33/0.74 % Total rewrite steps : 100
% 0.33/0.74 % ...of those cached : 37
% 0.33/0.74 % Propositional unsat checks : 0
% 0.33/0.74 % Propositional check models : 0
% 0.33/0.74 % Propositional check unsatisfiable : 0
% 0.33/0.74 % Propositional clauses : 0
% 0.33/0.74 % Propositional clauses after purity: 0
% 0.33/0.74 % Propositional unsat core size : 0
% 0.33/0.74 % Propositional preprocessing time : 0.000
% 0.33/0.74 % Propositional encoding time : 0.000
% 0.33/0.74 % Propositional solver time : 0.000
% 0.33/0.74 % Success case prop preproc time : 0.000
% 0.33/0.74 % Success case prop encoding time : 0.000
% 0.33/0.74 % Success case prop solver time : 0.000
% 0.33/0.74 % Current number of processed clauses : 153
% 0.33/0.74 % Positive orientable unit clauses : 55
% 0.33/0.74 % Positive unorientable unit clauses: 0
% 0.33/0.74 % Negative unit clauses : 14
% 0.33/0.74 % Non-unit-clauses : 84
% 0.33/0.74 % Current number of unprocessed clauses: 312
% 0.33/0.74 % ...number of literals in the above : 712
% 0.33/0.74 % Current number of archived formulas : 0
% 0.33/0.74 % Current number of archived clauses : 400
% 0.33/0.74 % Clause-clause subsumption calls (NU) : 22940
% 0.33/0.74 % Rec. Clause-clause subsumption calls : 18047
% 0.33/0.74 % Non-unit clause-clause subsumptions : 49
% 0.33/0.74 % Unit Clause-clause subsumption calls : 515
% 0.33/0.74 % Rewrite failures with RHS unbound : 0
% 0.33/0.74 % BW rewrite match attempts : 25
% 0.33/0.74 % BW rewrite match successes : 13
% 0.33/0.74 % Condensation attempts : 0
% 0.33/0.74 % Condensation successes : 0
% 0.33/0.74 % Termbank termtop insertions : 19038
% 0.33/0.74 % Search garbage collected termcells : 805
% 0.33/0.74
% 0.33/0.74 % -------------------------------------------------
% 0.33/0.74 % User time : 0.091 s
% 0.33/0.74 % System time : 0.010 s
% 0.33/0.74 % Total time : 0.100 s
% 0.33/0.74 % Maximum resident set size: 4508 pages
% 0.33/0.74
% 0.33/0.74 % -------------------------------------------------
% 0.33/0.74 % User time : 0.421 s
% 0.33/0.74 % System time : 0.054 s
% 0.33/0.74 % Total time : 0.475 s
% 0.33/0.74 % Maximum resident set size: 4864 pages
% 0.33/0.74 % E exiting
%------------------------------------------------------------------------------