%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV731-1 : 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 : 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 02:59:49 PM UTC 2026
% Result : Unsatisfiable 4.86s 1.19s
% Output : CNFRefutation 4.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of clauses : 41 ( 24 unt; 8 nHn; 22 RR)
% Number of literals : 65 ( 38 equ; 30 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; 3 con; 0-3 aty)
% Number of variables : 89 ( 53 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_1,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_bot1E_0) ).
cnf(cls_msg_Osimps_I11_J_0,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OAgent(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I11_J_0) ).
cnf(cls_msg_Osimps_I32_J_0,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OHash(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I32_J_0) ).
cnf(cls_msg_Osimps_I15_J_0,axiom,
c_Message_Omsg_OHash(X1) != c_Message_Omsg_OAgent(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I15_J_0) ).
cnf(cls_msg_Osimps_I3_J_0,axiom,
( c_Message_Omsg_ONonce(X1) != c_Message_Omsg_ONonce(X2)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I3_J_0) ).
cnf(cls_keymode_Osimps_I2_J_0,axiom,
c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keymode_Osimps_I2_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_ONonce(X1) != c_Message_Omsg_OAgent(X2),
inference(fof_simplification,[status(thm)],[cls_msg_Osimps_I11_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_ONonce(X1) != c_Message_Omsg_OHash(X2),
inference(fof_simplification,[status(thm)],[cls_msg_Osimps_I32_J_0]) ).
cnf(c_0_25,plain,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OAgent(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_ONonce(X1) != c_Message_Omsg_OHash(X2),
c_0_24 ).
cnf(c_0_28,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_29,plain,
( c_Message_Omsg_ONonce(X2) != c_Public_Okeymode_OSignature
| c_Message_Omsg_OAgent(X1) = c_Public_Okeymode_OEncryption ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,plain,
( c_Message_Omsg_ONonce(X2) != c_Public_Okeymode_OSignature
| c_Message_Omsg_OHash(X1) = c_Public_Okeymode_OEncryption ),
inference(spm,[status(thm)],[c_0_27,c_0_26]) ).
cnf(c_0_31,plain,
( c_Message_Omsg_ONonce(X1) != c_Message_Omsg_ONonce(X2)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[cls_msg_Osimps_I3_J_0]) ).
cnf(c_0_32,plain,
c_Message_Omsg_OHash(X1) != c_Message_Omsg_OAgent(X2),
c_0_28 ).
cnf(c_0_33,plain,
( c_Message_Omsg_OAgent(X2) = c_Public_Okeymode_OEncryption
| c_Message_Omsg_ONonce(X1) = c_Public_Okeymode_OEncryption ),
inference(spm,[status(thm)],[c_0_29,c_0_26]) ).
cnf(c_0_34,plain,
( c_Message_Omsg_OHash(X2) = c_Public_Okeymode_OEncryption
| c_Message_Omsg_ONonce(X1) = c_Public_Okeymode_OEncryption ),
inference(spm,[status(thm)],[c_0_30,c_0_26]) ).
cnf(c_0_35,plain,
c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature,
inference(fof_simplification,[status(thm)],[cls_keymode_Osimps_I2_J_0]) ).
cnf(c_0_36,plain,
( c_Message_Omsg_ONonce(X1) != c_Message_Omsg_ONonce(X2)
| X1 = X2 ),
c_0_31 ).
cnf(c_0_37,plain,
c_Message_Omsg_ONonce(X1) = c_Public_Okeymode_OEncryption,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_38,plain,
c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature,
c_0_35 ).
cnf(c_0_39,plain,
X1 = X2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37]),c_0_37])]) ).
cnf(c_0_40,plain,
$false,
inference(sr,[status(thm)],[c_0_38,c_0_39]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV731-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 09:22:04 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 4.86/1.19 % Version: 3.5.1
% 4.86/1.19 % Preprocessing class: FSLSSMSMSSSNFFN.
% 4.86/1.19 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.86/1.19 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 4.86/1.19 % Starting new_bool_3 with 300s (1) cores
% 4.86/1.19 % Starting new_bool_1 with 300s (1) cores
% 4.86/1.19 % Starting sh5l with 300s (1) cores
% 4.86/1.19 % sh5l with pid 3113444 completed with status 0
% 4.86/1.19 % Result found by sh5l
% 4.86/1.19 % Preprocessing class: FSLSSMSMSSSNFFN.
% 4.86/1.19 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.86/1.19 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 4.86/1.19 % Starting new_bool_3 with 300s (1) cores
% 4.86/1.19 % Starting new_bool_1 with 300s (1) cores
% 4.86/1.19 % Starting sh5l with 300s (1) cores
% 4.86/1.19 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 4.86/1.19 % SinE strategy is gf500_gu_R04_F100_L20000
% 4.86/1.19 % Search class: FGHSM-FSLM31-DFFFFFNN
% 4.86/1.19 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 4.86/1.19 % Starting SubtermCWHack with 28s (1) cores
% 4.86/1.19 % SubtermCWHack with pid 3113452 completed with status 0
% 4.86/1.19 % Result found by SubtermCWHack
% 4.86/1.19 % Preprocessing class: FSLSSMSMSSSNFFN.
% 4.86/1.19 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.86/1.19 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 4.86/1.19 % Starting new_bool_3 with 300s (1) cores
% 4.86/1.19 % Starting new_bool_1 with 300s (1) cores
% 4.86/1.19 % Starting sh5l with 300s (1) cores
% 4.86/1.19 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 4.86/1.19 % SinE strategy is gf500_gu_R04_F100_L20000
% 4.86/1.19 % Search class: FGHSM-FSLM31-DFFFFFNN
% 4.86/1.19 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 4.86/1.19 % Starting SubtermCWHack with 28s (1) cores
% 4.86/1.19 % Preprocessing time : 0.008 s
% 4.86/1.19
% 4.86/1.19 % Proof found!
% 4.86/1.19 % SZS status Unsatisfiable
% 4.86/1.19 % SZS output start CNFRefutation
% See solution above
% 4.86/1.19 % Parsed axioms : 634
% 4.86/1.19 % Removed by relevancy pruning/SinE : 53
% 4.86/1.19 % Initial clauses : 581
% 4.86/1.19 % Removed in clause preprocessing : 0
% 4.86/1.19 % Initial clauses in saturation : 581
% 4.86/1.19 % Processed clauses : 5069
% 4.86/1.19 % ...of these trivial : 379
% 4.86/1.19 % ...subsumed : 2995
% 4.86/1.19 % ...remaining for further processing : 1695
% 4.86/1.19 % Other redundant clauses eliminated : 79
% 4.86/1.19 % Clauses deleted for lack of memory : 0
% 4.86/1.19 % Backward-subsumed : 383
% 4.86/1.19 % Backward-rewritten : 131
% 4.86/1.19 % Generated clauses : 53750
% 4.86/1.19 % ...of the previous two non-redundant : 32712
% 4.86/1.19 % ...aggressively subsumed : 0
% 4.86/1.19 % Contextual simplify-reflections : 2
% 4.86/1.19 % Paramodulations : 53565
% 4.86/1.19 % Factorizations : 10
% 4.86/1.19 % NegExts : 0
% 4.86/1.19 % Equation resolutions : 107
% 4.86/1.19 % Disequality decompositions : 0
% 4.86/1.19 % Total rewrite steps : 22973
% 4.86/1.19 % ...of those cached : 19016
% 4.86/1.19 % Propositional unsat checks : 0
% 4.86/1.19 % Propositional check models : 0
% 4.86/1.19 % Propositional check unsatisfiable : 0
% 4.86/1.19 % Propositional clauses : 0
% 4.86/1.19 % Propositional clauses after purity: 0
% 4.86/1.19 % Propositional unsat core size : 0
% 4.86/1.19 % Propositional preprocessing time : 0.000
% 4.86/1.19 % Propositional encoding time : 0.000
% 4.86/1.19 % Propositional solver time : 0.000
% 4.86/1.19 % Success case prop preproc time : 0.000
% 4.86/1.19 % Success case prop encoding time : 0.000
% 4.86/1.19 % Success case prop solver time : 0.000
% 4.86/1.19 % Current number of processed clauses : 1113
% 4.86/1.19 % Positive orientable unit clauses : 459
% 4.86/1.19 % Positive unorientable unit clauses: 1
% 4.86/1.19 % Negative unit clauses : 55
% 4.86/1.19 % Non-unit-clauses : 598
% 4.86/1.19 % Current number of unprocessed clauses: 27942
% 4.86/1.19 % ...number of literals in the above : 61360
% 4.86/1.19 % Current number of archived formulas : 0
% 4.86/1.19 % Current number of archived clauses : 582
% 4.86/1.19 % Clause-clause subsumption calls (NU) : 215196
% 4.86/1.19 % Rec. Clause-clause subsumption calls : 147442
% 4.86/1.19 % Non-unit clause-clause subsumptions : 2600
% 4.86/1.19 % Unit Clause-clause subsumption calls : 7182
% 4.86/1.19 % Rewrite failures with RHS unbound : 2835
% 4.86/1.19 % BW rewrite match attempts : 13243
% 4.86/1.19 % BW rewrite match successes : 2771
% 4.86/1.19 % Condensation attempts : 0
% 4.86/1.19 % Condensation successes : 0
% 4.86/1.19 % Termbank termtop insertions : 756648
% 4.86/1.19 % Search garbage collected termcells : 1305
% 4.86/1.19
% 4.86/1.19 % -------------------------------------------------
% 4.86/1.19 % User time : 0.687 s
% 4.86/1.19 % System time : 0.035 s
% 4.86/1.19 % Total time : 0.721 s
% 4.86/1.19 % Maximum resident set size: 4940 pages
% 4.86/1.19
% 4.86/1.19 % -------------------------------------------------
% 4.86/1.19 % User time : 0.705 s
% 4.86/1.19 % System time : 0.039 s
% 4.86/1.19 % Total time : 0.745 s
% 4.86/1.19 % Maximum resident set size: 5120 pages
% 4.86/1.19 % E exiting
%------------------------------------------------------------------------------