%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV747-1 : 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 : 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 02:59:51 PM UTC 2026
% Result : Unsatisfiable 10.70s 1.97s
% Output : CNFRefutation 10.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of clauses : 38 ( 15 unt; 9 nHn; 20 RR)
% Number of literals : 71 ( 35 equ; 36 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 68 ( 36 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_keymode_Oinduct_0,axiom,
( ~ hBOOL(hAPP(X1,c_Public_Okeymode_OSignature))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OEncryption))
| hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keymode_Oinduct_0) ).
cnf(cls_insert__code_2,axiom,
( ~ hBOOL(hAPP(X2,X4))
| hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_2) ).
cnf(cls_insert__code_0,axiom,
( ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
| X3 = X2
| hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_0) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).
cnf(cls_bot1E_0,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot1E_0) ).
cnf(cls_agent_Osimps_I7_J_0,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I7_J_0) ).
cnf(cls_agent_Osimps_I2_J_0,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I2_J_0) ).
cnf(cls_agent_Osimps_I4_J_0,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I4_J_0) ).
cnf(c_0_8,plain,
( ~ hBOOL(hAPP(X1,c_Public_Okeymode_OSignature))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OEncryption))
| hBOOL(hAPP(X1,X2)) ),
inference(fof_simplification,[status(thm)],[cls_keymode_Oinduct_0]) ).
cnf(c_0_9,plain,
( ~ hBOOL(hAPP(X2,X4))
| hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
inference(fof_simplification,[status(thm)],[cls_insert__code_2]) ).
cnf(c_0_10,plain,
( ~ hBOOL(hAPP(X1,c_Public_Okeymode_OSignature))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OEncryption))
| hBOOL(hAPP(X1,X2)) ),
c_0_8 ).
cnf(c_0_11,plain,
( ~ hBOOL(hAPP(X2,X4))
| hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
c_0_9 ).
cnf(c_0_12,plain,
( ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
| X3 = X2
| hBOOL(hAPP(X1,X2)) ),
inference(fof_simplification,[status(thm)],[cls_insert__code_0]) ).
cnf(c_0_13,plain,
( ~ hBOOL(hAPP(X2,c_Public_Okeymode_OSignature))
| ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),c_Public_Okeymode_OEncryption))
| hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1 ).
cnf(c_0_15,plain,
( ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
| X3 = X2
| hBOOL(hAPP(X1,X2)) ),
c_0_12 ).
cnf(c_0_16,plain,
( ~ hBOOL(hAPP(X1,c_Public_Okeymode_OSignature))
| hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X1,X2),X3)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
( ~ hBOOL(hAPP(X2,c_Public_Okeymode_OSignature))
| hBOOL(hAPP(X2,X1))
| X1 = c_Public_Okeymode_OEncryption ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
inference(fof_simplification,[status(thm)],[cls_bot1E_0]) ).
cnf(c_0_19,plain,
( hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X2,X3),X1))
| X1 = c_Public_Okeymode_OEncryption ),
inference(spm,[status(thm)],[c_0_17,c_0_14]) ).
cnf(c_0_20,plain,
c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X1),
inference(fof_simplification,[status(thm)],[cls_agent_Osimps_I7_J_0]) ).
cnf(c_0_21,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
c_0_18 ).
cnf(c_0_22,plain,
( hBOOL(hAPP(X2,X1))
| X1 = c_Public_Okeymode_OSignature
| X1 = c_Public_Okeymode_OEncryption ),
inference(spm,[status(thm)],[c_0_15,c_0_19]) ).
cnf(c_0_23,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X1),
inference(fof_simplification,[status(thm)],[cls_agent_Osimps_I2_J_0]) ).
cnf(c_0_24,plain,
c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X1),
c_0_20 ).
cnf(c_0_25,plain,
( X1 = c_Public_Okeymode_OEncryption
| X1 = c_Public_Okeymode_OSignature ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X1),
c_0_23 ).
cnf(c_0_27,plain,
( c_Public_Okeymode_OSignature != c_Message_Oagent_OSpy
| c_Message_Oagent_OFriend(X1) = c_Public_Okeymode_OEncryption ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,plain,
( c_Public_Okeymode_OSignature != c_Message_Oagent_OServer
| c_Message_Oagent_OFriend(X1) = c_Public_Okeymode_OEncryption ),
inference(spm,[status(thm)],[c_0_26,c_0_25]) ).
cnf(c_0_29,plain,
( c_Public_Okeymode_OSignature != c_Message_Oagent_OSpy
| c_Public_Okeymode_OEncryption != c_Message_Oagent_OServer ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
inference(fof_simplification,[status(thm)],[cls_agent_Osimps_I4_J_0]) ).
cnf(c_0_31,plain,
( c_Public_Okeymode_OSignature != c_Message_Oagent_OServer
| c_Public_Okeymode_OEncryption != c_Message_Oagent_OSpy ),
inference(spm,[status(thm)],[c_0_24,c_0_28]) ).
cnf(c_0_32,plain,
( c_Public_Okeymode_OEncryption != c_Message_Oagent_OServer
| c_Public_Okeymode_OEncryption = c_Message_Oagent_OSpy ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_25])]) ).
cnf(c_0_33,plain,
( X2 = X1
| X2 = c_Public_Okeymode_OEncryption
| X1 = c_Public_Okeymode_OEncryption ),
inference(spm,[status(thm)],[c_0_25,c_0_25]) ).
cnf(c_0_34,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
c_0_30 ).
cnf(c_0_35,plain,
( c_Public_Okeymode_OEncryption != c_Message_Oagent_OSpy
| c_Public_Okeymode_OEncryption = c_Message_Oagent_OServer ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_25])]) ).
cnf(c_0_36,plain,
( X1 = c_Public_Okeymode_OEncryption
| c_Message_Oagent_OServer = X1 ),
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33])]),c_0_34]) ).
cnf(c_0_37,plain,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36])]),c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV747-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.46 % Computer : n018.cluster.edu
% 0.21/0.46 % Model : x86_64 x86_64
% 0.21/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.46 % Memory : 8046.5625MB
% 0.21/0.46 % OS : Linux 6.8.0-71-generic
% 0.21/0.46 % CPULimit : 300
% 0.21/0.46 % WCLimit : 300
% 0.21/0.46 % DateTime : Mon Sep 21 09:25:14 UTC 2026
% 0.21/0.47 % CPUTime :
% 0.21/0.47 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
% 10.70/1.97 % Version: 3.5.1
% 10.70/1.97 % Preprocessing class: FSLSSMSMSSSNFFN.
% 10.70/1.97 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.70/1.97 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 10.70/1.97 % Starting new_bool_3 with 300s (1) cores
% 10.70/1.97 % Starting new_bool_1 with 300s (1) cores
% 10.70/1.97 % Starting sh5l with 300s (1) cores
% 10.70/1.97 % sh5l with pid 1546896 completed with status 0
% 10.70/1.97 % Result found by sh5l
% 10.70/1.97 % Preprocessing class: FSLSSMSMSSSNFFN.
% 10.70/1.97 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.70/1.97 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 10.70/1.97 % Starting new_bool_3 with 300s (1) cores
% 10.70/1.97 % Starting new_bool_1 with 300s (1) cores
% 10.70/1.97 % Starting sh5l with 300s (1) cores
% 10.70/1.97 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 10.70/1.97 % SinE strategy is gf500_gu_R04_F100_L20000
% 10.70/1.97 % Search class: FGHSM-FSLM31-DFFFFFNN
% 10.70/1.97 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 10.70/1.97 % Starting SubtermCWHack with 28s (1) cores
% 10.70/1.97 % SubtermCWHack with pid 1546904 completed with status 0
% 10.70/1.97 % Result found by SubtermCWHack
% 10.70/1.97 % Preprocessing class: FSLSSMSMSSSNFFN.
% 10.70/1.97 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.70/1.97 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 10.70/1.97 % Starting new_bool_3 with 300s (1) cores
% 10.70/1.97 % Starting new_bool_1 with 300s (1) cores
% 10.70/1.97 % Starting sh5l with 300s (1) cores
% 10.70/1.97 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 10.70/1.97 % SinE strategy is gf500_gu_R04_F100_L20000
% 10.70/1.97 % Search class: FGHSM-FSLM31-DFFFFFNN
% 10.70/1.97 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 10.70/1.97 % Starting SubtermCWHack with 28s (1) cores
% 10.70/1.97 % Preprocessing time : 0.011 s
% 10.70/1.97
% 10.70/1.97 % Proof found!
% 10.70/1.97 % SZS status Unsatisfiable
% 10.70/1.97 % SZS output start CNFRefutation
% See solution above
% 10.70/1.97 % Parsed axioms : 557
% 10.70/1.97 % Removed by relevancy pruning/SinE : 33
% 10.70/1.97 % Initial clauses : 524
% 10.70/1.97 % Removed in clause preprocessing : 0
% 10.70/1.97 % Initial clauses in saturation : 524
% 10.70/1.97 % Processed clauses : 4802
% 10.70/1.97 % ...of these trivial : 983
% 10.70/1.97 % ...subsumed : 2188
% 10.70/1.97 % ...remaining for further processing : 1631
% 10.70/1.97 % Other redundant clauses eliminated : 566
% 10.70/1.97 % Clauses deleted for lack of memory : 0
% 10.70/1.97 % Backward-subsumed : 42
% 10.70/1.97 % Backward-rewritten : 157
% 10.70/1.97 % Generated clauses : 66093
% 10.70/1.97 % ...of the previous two non-redundant : 54314
% 10.70/1.97 % ...aggressively subsumed : 0
% 10.70/1.97 % Contextual simplify-reflections : 0
% 10.70/1.97 % Paramodulations : 65463
% 10.70/1.97 % Factorizations : 35
% 10.70/1.97 % NegExts : 0
% 10.70/1.97 % Equation resolutions : 595
% 10.70/1.97 % Disequality decompositions : 0
% 10.70/1.97 % Total rewrite steps : 29687
% 10.70/1.97 % ...of those cached : 24806
% 10.70/1.97 % Propositional unsat checks : 0
% 10.70/1.97 % Propositional check models : 0
% 10.70/1.97 % Propositional check unsatisfiable : 0
% 10.70/1.97 % Propositional clauses : 0
% 10.70/1.97 % Propositional clauses after purity: 0
% 10.70/1.97 % Propositional unsat core size : 0
% 10.70/1.97 % Propositional preprocessing time : 0.000
% 10.70/1.97 % Propositional encoding time : 0.000
% 10.70/1.97 % Propositional solver time : 0.000
% 10.70/1.97 % Success case prop preproc time : 0.000
% 10.70/1.97 % Success case prop encoding time : 0.000
% 10.70/1.97 % Success case prop solver time : 0.000
% 10.70/1.97 % Current number of processed clauses : 1432
% 10.70/1.97 % Positive orientable unit clauses : 693
% 10.70/1.97 % Positive unorientable unit clauses: 8
% 10.70/1.97 % Negative unit clauses : 93
% 10.70/1.97 % Non-unit-clauses : 638
% 10.70/1.97 % Current number of unprocessed clauses: 44718
% 10.70/1.97 % ...number of literals in the above : 118845
% 10.70/1.97 % Current number of archived formulas : 0
% 10.70/1.97 % Current number of archived clauses : 199
% 10.70/1.97 % Clause-clause subsumption calls (NU) : 99989
% 10.70/1.97 % Rec. Clause-clause subsumption calls : 67157
% 10.70/1.97 % Non-unit clause-clause subsumptions : 1571
% 10.70/1.97 % Unit Clause-clause subsumption calls : 6034
% 10.70/1.97 % Rewrite failures with RHS unbound : 1
% 10.70/1.97 % BW rewrite match attempts : 12108
% 10.70/1.97 % BW rewrite match successes : 215
% 10.70/1.97 % Condensation attempts : 0
% 10.70/1.97 % Condensation successes : 0
% 10.70/1.97 % Termbank termtop insertions : 854736
% 10.70/1.97 % Search garbage collected termcells : 1061
% 10.70/1.97
% 10.70/1.97 % -------------------------------------------------
% 10.70/1.97 % User time : 1.288 s
% 10.70/1.97 % System time : 0.080 s
% 10.70/1.97 % Total time : 1.368 s
% 10.70/1.97 % Maximum resident set size: 5132 pages
% 10.70/1.97
% 10.70/1.97 % -------------------------------------------------
% 10.70/1.97 % User time : 1.314 s
% 10.70/1.97 % System time : 0.091 s
% 10.70/1.97 % Total time : 1.405 s
% 10.70/1.97 % Maximum resident set size: 5376 pages
% 10.70/1.97 % E exiting
%------------------------------------------------------------------------------