%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV765-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 02:59:54 PM UTC 2026
% Result : Unsatisfiable 4.66s 1.12s
% Output : CNFRefutation 4.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of clauses : 43 ( 24 unt; 8 nHn; 23 RR)
% Number of literals : 69 ( 42 equ; 33 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 : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 93 ( 57 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/sandbox2/benchmark/theBenchmark.p',cls_keymode_Oinduct_0) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).
cnf(cls_insert__commute_0,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__commute_0) ).
cnf(cls_insert__code_0,axiom,
( ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
| X3 = X2
| hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_0) ).
cnf(cls_bot1E_0,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot1E_0) ).
cnf(cls_msg_Osimps_I33_J_0,axiom,
c_Message_Omsg_OHash(X1) != c_Message_Omsg_ONonce(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I33_J_0) ).
cnf(cls_msg_Osimps_I15_J_0,axiom,
c_Message_Omsg_OHash(X1) != c_Message_Omsg_OAgent(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I15_J_0) ).
cnf(cls_agent_Osimps_I7_J_0,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I7_J_0) ).
cnf(cls_msg_Osimps_I10_J_0,axiom,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_ONonce(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I10_J_0) ).
cnf(cls_msg_Osimps_I5_J_0,axiom,
( c_Message_Omsg_OHash(X1) != c_Message_Omsg_OHash(X2)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I5_J_0) ).
cnf(c_0_10,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_11,plain,
( ~ hBOOL(hAPP(X1,c_Public_Okeymode_OSignature))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OEncryption))
| hBOOL(hAPP(X1,X2)) ),
c_0_10 ).
cnf(c_0_12,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1 ).
cnf(c_0_13,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
cls_insert__commute_0 ).
cnf(c_0_14,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_15,plain,
( ~ hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X1,X2),c_Public_Okeymode_OEncryption))
| hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X1,X2),X3)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
hBOOL(hAPP(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4),X2)),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
( ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
| X3 = X2
| hBOOL(hAPP(X1,X2)) ),
c_0_14 ).
cnf(c_0_18,plain,
hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,c_Set_Oinsert(c_Public_Okeymode_OSignature,X1,X2),X2),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_13]) ).
cnf(c_0_19,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_20,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_18]) ).
cnf(c_0_21,plain,
c_Message_Omsg_OHash(X1) != c_Message_Omsg_ONonce(X2),
inference(fof_simplification,[status(thm)],[cls_msg_Osimps_I33_J_0]) ).
cnf(c_0_22,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
c_0_19 ).
cnf(c_0_23,plain,
( hBOOL(hAPP(X2,X1))
| X1 = c_Public_Okeymode_OSignature
| X1 = c_Public_Okeymode_OEncryption ),
inference(spm,[status(thm)],[c_0_17,c_0_20]) ).
cnf(c_0_24,plain,
c_Message_Omsg_OHash(X1) != c_Message_Omsg_OAgent(X2),
inference(fof_simplification,[status(thm)],[cls_msg_Osimps_I15_J_0]) ).
cnf(c_0_25,plain,
c_Message_Omsg_OHash(X1) != c_Message_Omsg_ONonce(X2),
c_0_21 ).
cnf(c_0_26,plain,
( X1 = c_Public_Okeymode_OEncryption
| X1 = c_Public_Okeymode_OSignature ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
c_Message_Omsg_OHash(X1) != c_Message_Omsg_OAgent(X2),
c_0_24 ).
cnf(c_0_28,plain,
c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X1),
inference(fof_simplification,[status(thm)],[cls_agent_Osimps_I7_J_0]) ).
cnf(c_0_29,plain,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_ONonce(X2),
inference(fof_simplification,[status(thm)],[cls_msg_Osimps_I10_J_0]) ).
cnf(c_0_30,plain,
( c_Message_Omsg_OHash(X2) != c_Public_Okeymode_OSignature
| c_Message_Omsg_ONonce(X1) = c_Public_Okeymode_OEncryption ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
( c_Message_Omsg_OHash(X2) != c_Public_Okeymode_OSignature
| c_Message_Omsg_OAgent(X1) = c_Public_Okeymode_OEncryption ),
inference(spm,[status(thm)],[c_0_27,c_0_26]) ).
cnf(c_0_32,plain,
c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X1),
c_0_28 ).
cnf(c_0_33,plain,
( c_Message_Omsg_OHash(X1) != c_Message_Omsg_OHash(X2)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[cls_msg_Osimps_I5_J_0]) ).
cnf(c_0_34,plain,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_ONonce(X2),
c_0_29 ).
cnf(c_0_35,plain,
( c_Message_Omsg_ONonce(X2) = c_Public_Okeymode_OEncryption
| c_Message_Omsg_OHash(X1) = c_Public_Okeymode_OEncryption ),
inference(spm,[status(thm)],[c_0_30,c_0_26]) ).
cnf(c_0_36,plain,
( c_Message_Omsg_OAgent(X2) = c_Public_Okeymode_OEncryption
| c_Message_Omsg_OHash(X1) = c_Public_Okeymode_OEncryption ),
inference(spm,[status(thm)],[c_0_31,c_0_26]) ).
cnf(c_0_37,plain,
( c_Public_Okeymode_OSignature != c_Message_Oagent_OSpy
| c_Message_Oagent_OFriend(X1) = c_Public_Okeymode_OEncryption ),
inference(spm,[status(thm)],[c_0_32,c_0_26]) ).
cnf(c_0_38,plain,
( c_Message_Omsg_OHash(X1) != c_Message_Omsg_OHash(X2)
| X1 = X2 ),
c_0_33 ).
cnf(c_0_39,plain,
c_Message_Omsg_OHash(X1) = c_Public_Okeymode_OEncryption,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_40,plain,
( c_Public_Okeymode_OSignature != c_Message_Oagent_OSpy
| c_Public_Okeymode_OEncryption != c_Message_Oagent_OSpy ),
inference(spm,[status(thm)],[c_0_32,c_0_37]) ).
cnf(c_0_41,plain,
X1 = X2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39]),c_0_39])]) ).
cnf(c_0_42,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_40,c_0_41]),c_0_41]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV765-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n012.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 09:24:06 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 4.66/1.12 % Version: 3.5.1
% 4.66/1.12 % Preprocessing class: FSLSSMSMSSSNFFN.
% 4.66/1.12 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.66/1.12 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 4.66/1.12 % Starting new_bool_3 with 300s (1) cores
% 4.66/1.12 % Starting new_bool_1 with 300s (1) cores
% 4.66/1.12 % Starting sh5l with 300s (1) cores
% 4.66/1.12 % sh5l with pid 2071582 completed with status 0
% 4.66/1.12 % Result found by sh5l
% 4.66/1.12 % Preprocessing class: FSLSSMSMSSSNFFN.
% 4.66/1.12 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.66/1.12 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 4.66/1.12 % Starting new_bool_3 with 300s (1) cores
% 4.66/1.12 % Starting new_bool_1 with 300s (1) cores
% 4.66/1.12 % Starting sh5l with 300s (1) cores
% 4.66/1.12 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 4.66/1.12 % SinE strategy is gf500_gu_R04_F100_L20000
% 4.66/1.12 % Search class: FGHSM-FSLM31-DFFFFFNN
% 4.66/1.12 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 4.66/1.12 % Starting SubtermCWHack with 28s (1) cores
% 4.66/1.12 % SubtermCWHack with pid 2071588 completed with status 0
% 4.66/1.12 % Result found by SubtermCWHack
% 4.66/1.12 % Preprocessing class: FSLSSMSMSSSNFFN.
% 4.66/1.12 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.66/1.12 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 4.66/1.12 % Starting new_bool_3 with 300s (1) cores
% 4.66/1.12 % Starting new_bool_1 with 300s (1) cores
% 4.66/1.12 % Starting sh5l with 300s (1) cores
% 4.66/1.12 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 4.66/1.12 % SinE strategy is gf500_gu_R04_F100_L20000
% 4.66/1.12 % Search class: FGHSM-FSLM31-DFFFFFNN
% 4.66/1.12 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 4.66/1.12 % Starting SubtermCWHack with 28s (1) cores
% 4.66/1.12 % Preprocessing time : 0.006 s
% 4.66/1.12
% 4.66/1.12 % Proof found!
% 4.66/1.12 % SZS status Unsatisfiable
% 4.66/1.12 % SZS output start CNFRefutation
% See solution above
% 4.66/1.12 % Parsed axioms : 545
% 4.66/1.12 % Removed by relevancy pruning/SinE : 28
% 4.66/1.12 % Initial clauses : 517
% 4.66/1.12 % Removed in clause preprocessing : 0
% 4.66/1.12 % Initial clauses in saturation : 517
% 4.66/1.12 % Processed clauses : 4492
% 4.66/1.12 % ...of these trivial : 965
% 4.66/1.12 % ...subsumed : 1884
% 4.66/1.12 % ...remaining for further processing : 1643
% 4.66/1.12 % Other redundant clauses eliminated : 89
% 4.66/1.12 % Clauses deleted for lack of memory : 0
% 4.66/1.12 % Backward-subsumed : 348
% 4.66/1.12 % Backward-rewritten : 188
% 4.66/1.12 % Generated clauses : 55830
% 4.66/1.12 % ...of the previous two non-redundant : 32178
% 4.66/1.12 % ...aggressively subsumed : 0
% 4.66/1.12 % Contextual simplify-reflections : 1
% 4.66/1.12 % Paramodulations : 55640
% 4.66/1.12 % Factorizations : 9
% 4.66/1.12 % NegExts : 0
% 4.66/1.12 % Equation resolutions : 117
% 4.66/1.12 % Disequality decompositions : 0
% 4.66/1.12 % Total rewrite steps : 33458
% 4.66/1.12 % ...of those cached : 28234
% 4.66/1.12 % Propositional unsat checks : 0
% 4.66/1.12 % Propositional check models : 0
% 4.66/1.12 % Propositional check unsatisfiable : 0
% 4.66/1.12 % Propositional clauses : 0
% 4.66/1.12 % Propositional clauses after purity: 0
% 4.66/1.12 % Propositional unsat core size : 0
% 4.66/1.12 % Propositional preprocessing time : 0.000
% 4.66/1.12 % Propositional encoding time : 0.000
% 4.66/1.12 % Propositional solver time : 0.000
% 4.66/1.12 % Success case prop preproc time : 0.000
% 4.66/1.12 % Success case prop encoding time : 0.000
% 4.66/1.12 % Success case prop solver time : 0.000
% 4.66/1.12 % Current number of processed clauses : 1043
% 4.66/1.12 % Positive orientable unit clauses : 609
% 4.66/1.12 % Positive unorientable unit clauses: 1
% 4.66/1.12 % Negative unit clauses : 34
% 4.66/1.12 % Non-unit-clauses : 399
% 4.66/1.12 % Current number of unprocessed clauses: 27969
% 4.66/1.12 % ...number of literals in the above : 54235
% 4.66/1.12 % Current number of archived formulas : 0
% 4.66/1.12 % Current number of archived clauses : 600
% 4.66/1.12 % Clause-clause subsumption calls (NU) : 86575
% 4.66/1.12 % Rec. Clause-clause subsumption calls : 58485
% 4.66/1.12 % Non-unit clause-clause subsumptions : 1670
% 4.66/1.12 % Unit Clause-clause subsumption calls : 6117
% 4.66/1.12 % Rewrite failures with RHS unbound : 2885
% 4.66/1.12 % BW rewrite match attempts : 19157
% 4.66/1.12 % BW rewrite match successes : 3005
% 4.66/1.12 % Condensation attempts : 0
% 4.66/1.12 % Condensation successes : 0
% 4.66/1.12 % Termbank termtop insertions : 735376
% 4.66/1.12 % Search garbage collected termcells : 1135
% 4.66/1.12
% 4.66/1.12 % -------------------------------------------------
% 4.66/1.12 % User time : 0.617 s
% 4.66/1.12 % System time : 0.027 s
% 4.66/1.12 % Total time : 0.644 s
% 4.66/1.12 % Maximum resident set size: 4620 pages
% 4.66/1.12
% 4.66/1.12 % -------------------------------------------------
% 4.66/1.12 % User time : 0.632 s
% 4.66/1.12 % System time : 0.032 s
% 4.66/1.12 % Total time : 0.665 s
% 4.66/1.12 % Maximum resident set size: 5376 pages
% 4.66/1.12 % E exiting
%------------------------------------------------------------------------------