%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV253-1 : 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 : n009.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 02:54:05 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 9 ( 4 unt; 2 nHn; 7 RR)
% Number of literals : 14 ( 13 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H)
| v_K != v_K_H ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0,axiom,
c_Message_OinvKey(c_Message_OinvKey(X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0) ).
cnf(cls_conjecture_1,negated_conjecture,
( v_K = v_K_H
| c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_0_3,negated_conjecture,
( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H)
| v_K != v_K_H ),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_4,axiom,
c_Message_OinvKey(c_Message_OinvKey(X1)) = X1,
cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0 ).
cnf(c_0_5,negated_conjecture,
( v_K = v_K_H
| c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) ),
cls_conjecture_1 ).
cnf(c_0_6,negated_conjecture,
( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H)
| v_K != v_K_H ),
c_0_3 ).
cnf(c_0_7,negated_conjecture,
v_K = v_K_H,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_4])]) ).
cnf(c_0_8,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV253-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n009.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 08:36:29 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.19/0.49 % Version: 3.5.1
% 0.19/0.49 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.19/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.19/0.49 % Starting new_bool_1 with 300s (1) cores
% 0.19/0.49 % Starting sh5l with 300s (1) cores
% 0.19/0.49 % sh5l with pid 1336136 completed with status 0
% 0.19/0.49 % Result found by sh5l
% 0.19/0.49 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.19/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.19/0.49 % Starting new_bool_1 with 300s (1) cores
% 0.19/0.49 % Starting sh5l with 300s (1) cores
% 0.19/0.49 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.19/0.49 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.49 % Search class: FGHPF-FFSF11-SFFFFFNN
% 0.19/0.49 % partial match(1): FGHNF-FFSF11-SFFFFFNN
% 0.19/0.49 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49 % Starting SubtermCWHack with 31s (1) cores
% 0.19/0.49 % SubtermCWHack with pid 1336141 completed with status 0
% 0.19/0.49 % Result found by SubtermCWHack
% 0.19/0.49 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.19/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.19/0.49 % Starting new_bool_1 with 300s (1) cores
% 0.19/0.49 % Starting sh5l with 300s (1) cores
% 0.19/0.49 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.19/0.49 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.49 % Search class: FGHPF-FFSF11-SFFFFFNN
% 0.19/0.49 % partial match(1): FGHNF-FFSF11-SFFFFFNN
% 0.19/0.49 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49 % Starting SubtermCWHack with 31s (1) cores
% 0.19/0.49 % Preprocessing time : 0.004 s
% 0.19/0.49
% 0.19/0.49 % Proof found!
% 0.19/0.49 % SZS status Unsatisfiable
% 0.19/0.49 % SZS output start CNFRefutation
% See solution above
% 0.19/0.49 % Parsed axioms : 2758
% 0.19/0.49 % Removed by relevancy pruning/SinE : 2755
% 0.19/0.49 % Initial clauses : 3
% 0.19/0.49 % Removed in clause preprocessing : 0
% 0.19/0.49 % Initial clauses in saturation : 3
% 0.19/0.49 % Processed clauses : 4
% 0.19/0.49 % ...of these trivial : 0
% 0.19/0.49 % ...subsumed : 0
% 0.19/0.49 % ...remaining for further processing : 3
% 0.19/0.49 % Other redundant clauses eliminated : 0
% 0.19/0.49 % Clauses deleted for lack of memory : 0
% 0.19/0.49 % Backward-subsumed : 0
% 0.19/0.49 % Backward-rewritten : 1
% 0.19/0.49 % Generated clauses : 1
% 0.19/0.49 % ...of the previous two non-redundant : 1
% 0.19/0.49 % ...aggressively subsumed : 0
% 0.19/0.49 % Contextual simplify-reflections : 0
% 0.19/0.49 % Paramodulations : 1
% 0.19/0.49 % Factorizations : 0
% 0.19/0.49 % NegExts : 0
% 0.19/0.49 % Equation resolutions : 0
% 0.19/0.49 % Disequality decompositions : 0
% 0.19/0.49 % Total rewrite steps : 5
% 0.19/0.49 % ...of those cached : 3
% 0.19/0.49 % Propositional unsat checks : 0
% 0.19/0.49 % Propositional check models : 0
% 0.19/0.49 % Propositional check unsatisfiable : 0
% 0.19/0.49 % Propositional clauses : 0
% 0.19/0.49 % Propositional clauses after purity: 0
% 0.19/0.49 % Propositional unsat core size : 0
% 0.19/0.49 % Propositional preprocessing time : 0.000
% 0.19/0.49 % Propositional encoding time : 0.000
% 0.19/0.49 % Propositional solver time : 0.000
% 0.19/0.49 % Success case prop preproc time : 0.000
% 0.19/0.49 % Success case prop encoding time : 0.000
% 0.19/0.49 % Success case prop solver time : 0.000
% 0.19/0.49 % Current number of processed clauses : 2
% 0.19/0.49 % Positive orientable unit clauses : 2
% 0.19/0.49 % Positive unorientable unit clauses: 0
% 0.19/0.49 % Negative unit clauses : 0
% 0.19/0.49 % Non-unit-clauses : 0
% 0.19/0.49 % Current number of unprocessed clauses: 0
% 0.19/0.49 % ...number of literals in the above : 0
% 0.19/0.49 % Current number of archived formulas : 0
% 0.19/0.49 % Current number of archived clauses : 1
% 0.19/0.49 % Clause-clause subsumption calls (NU) : 0
% 0.19/0.49 % Rec. Clause-clause subsumption calls : 0
% 0.19/0.49 % Non-unit clause-clause subsumptions : 0
% 0.19/0.49 % Unit Clause-clause subsumption calls : 0
% 0.19/0.49 % Rewrite failures with RHS unbound : 0
% 0.19/0.49 % BW rewrite match attempts : 1
% 0.19/0.49 % BW rewrite match successes : 1
% 0.19/0.49 % Condensation attempts : 0
% 0.19/0.49 % Condensation successes : 0
% 0.19/0.49 % Termbank termtop insertions : 23225
% 0.19/0.49 % Search garbage collected termcells : 8114
% 0.19/0.49
% 0.19/0.49 % -------------------------------------------------
% 0.19/0.49 % User time : 0.003 s
% 0.19/0.49 % System time : 0.008 s
% 0.19/0.49 % Total time : 0.012 s
% 0.19/0.49 % Maximum resident set size: 5920 pages
% 0.19/0.49
% 0.19/0.49 % -------------------------------------------------
% 0.19/0.49 % User time : 0.054 s
% 0.19/0.49 % System time : 0.015 s
% 0.19/0.49 % Total time : 0.069 s
% 0.19/0.49 % Maximum resident set size: 6400 pages
% 0.19/0.49 % E exiting
%------------------------------------------------------------------------------