%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWV844-1 : 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 : n016.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 03:07:00 PM UTC 2026
% Result : Unsatisfiable 1.84s 0.72s
% Output : CNFRefutation 1.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 12 ( 0 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-3 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_5,negated_conjecture,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,X1)),hAPP(v_c0,X1)),hAPP(v_Q_H,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b)
| c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,X1)),hAPP(v_c0,X1)),hAPP(v_Q,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_4,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q,v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_2,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q_H,v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_0_3,negated_conjecture,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,X1)),hAPP(v_c0,X1)),hAPP(v_Q_H,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b)
| c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,X1)),hAPP(v_c0,X1)),hAPP(v_Q,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_5]) ).
cnf(c_0_4,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q,v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
inference(fof_simplification,[status(thm)],[cls_conjecture_4]) ).
cnf(c_0_5,negated_conjecture,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,X1)),hAPP(v_c0,X1)),hAPP(v_Q_H,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b)
| c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,X1)),hAPP(v_c0,X1)),hAPP(v_Q,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b) ),
c_0_3 ).
cnf(c_0_6,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q_H,v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
cls_conjecture_2 ).
cnf(c_0_7,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q,v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
c_0_4 ).
cnf(c_0_8,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV844-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n016.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 09:32:54 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 1.84/0.72 % Version: 3.5.1
% 1.84/0.72 % Preprocessing class: FMLMSMSMSSSNFFN.
% 1.84/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.84/0.72 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.84/0.72 % Starting new_bool_3 with 300s (1) cores
% 1.84/0.72 % Starting new_bool_1 with 300s (1) cores
% 1.84/0.72 % Starting sh5l with 300s (1) cores
% 1.84/0.72 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2123215 completed with status 0
% 1.84/0.72 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.84/0.72 % Preprocessing class: FMLMSMSMSSSNFFN.
% 1.84/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.84/0.72 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.84/0.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.84/0.72 % No SInE strategy applied
% 1.84/0.72 % Search class: FGHSM-SSLM32-DFFFFFNN
% 1.84/0.72 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 1.84/0.72 % Starting SubtermCWHack with 136s (1) cores
% 1.84/0.72 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.84/0.72 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 113s (1) cores
% 1.84/0.72 % Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 1.84/0.72 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 113s (1) cores
% 1.84/0.72 % G-E--_208_B07_F1_SE_CS_SP_PS_S4d with pid 2123225 completed with status 0
% 1.84/0.72 % Result found by G-E--_208_B07_F1_SE_CS_SP_PS_S4d
% 1.84/0.72 % Preprocessing class: FMLMSMSMSSSNFFN.
% 1.84/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.84/0.72 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.84/0.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.84/0.72 % No SInE strategy applied
% 1.84/0.72 % Search class: FGHSM-SSLM32-DFFFFFNN
% 1.84/0.72 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 1.84/0.72 % Starting SubtermCWHack with 136s (1) cores
% 1.84/0.72 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.84/0.72 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 113s (1) cores
% 1.84/0.72 % Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 1.84/0.72 % Preprocessing time : 0.010 s
% 1.84/0.72 % Presaturation interreduction done
% 1.84/0.72
% 1.84/0.72 % Proof found!
% 1.84/0.72 % SZS status Unsatisfiable
% 1.84/0.72 % SZS output start CNFRefutation
% See solution above
% 1.84/0.72 % Parsed axioms : 1042
% 1.84/0.72 % Removed by relevancy pruning/SinE : 0
% 1.84/0.72 % Initial clauses : 1042
% 1.84/0.72 % Removed in clause preprocessing : 1
% 1.84/0.72 % Initial clauses in saturation : 1041
% 1.84/0.72 % Processed clauses : 2481
% 1.84/0.72 % ...of these trivial : 40
% 1.84/0.72 % ...subsumed : 876
% 1.84/0.72 % ...remaining for further processing : 1565
% 1.84/0.72 % Other redundant clauses eliminated : 29
% 1.84/0.72 % Clauses deleted for lack of memory : 0
% 1.84/0.72 % Backward-subsumed : 33
% 1.84/0.72 % Backward-rewritten : 40
% 1.84/0.72 % Generated clauses : 7294
% 1.84/0.72 % ...of the previous two non-redundant : 6040
% 1.84/0.72 % ...aggressively subsumed : 0
% 1.84/0.72 % Contextual simplify-reflections : 6
% 1.84/0.72 % Paramodulations : 7253
% 1.84/0.72 % Factorizations : 0
% 1.84/0.72 % NegExts : 0
% 1.84/0.72 % Equation resolutions : 41
% 1.84/0.72 % Disequality decompositions : 0
% 1.84/0.72 % Total rewrite steps : 3465
% 1.84/0.72 % ...of those cached : 2531
% 1.84/0.72 % Propositional unsat checks : 0
% 1.84/0.72 % Propositional check models : 0
% 1.84/0.72 % Propositional check unsatisfiable : 0
% 1.84/0.72 % Propositional clauses : 0
% 1.84/0.72 % Propositional clauses after purity: 0
% 1.84/0.72 % Propositional unsat core size : 0
% 1.84/0.72 % Propositional preprocessing time : 0.000
% 1.84/0.72 % Propositional encoding time : 0.000
% 1.84/0.72 % Propositional solver time : 0.000
% 1.84/0.72 % Success case prop preproc time : 0.000
% 1.84/0.72 % Success case prop encoding time : 0.000
% 1.84/0.72 % Success case prop solver time : 0.000
% 1.84/0.72 % Current number of processed clauses : 630
% 1.84/0.72 % Positive orientable unit clauses : 231
% 1.84/0.72 % Positive unorientable unit clauses: 20
% 1.84/0.72 % Negative unit clauses : 118
% 1.84/0.72 % Non-unit-clauses : 261
% 1.84/0.72 % Current number of unprocessed clauses: 5409
% 1.84/0.72 % ...number of literals in the above : 9002
% 1.84/0.72 % Current number of archived formulas : 0
% 1.84/0.72 % Current number of archived clauses : 936
% 1.84/0.72 % Clause-clause subsumption calls (NU) : 163308
% 1.84/0.72 % Rec. Clause-clause subsumption calls : 93648
% 1.84/0.72 % Non-unit clause-clause subsumptions : 323
% 1.84/0.72 % Unit Clause-clause subsumption calls : 4982
% 1.84/0.72 % Rewrite failures with RHS unbound : 2213
% 1.84/0.72 % BW rewrite match attempts : 3008
% 1.84/0.72 % BW rewrite match successes : 908
% 1.84/0.72 % Condensation attempts : 0
% 1.84/0.72 % Condensation successes : 0
% 1.84/0.72 % Termbank termtop insertions : 217552
% 1.84/0.72 % Search garbage collected termcells : 1953
% 1.84/0.72
% 1.84/0.72 % -------------------------------------------------
% 1.84/0.72 % User time : 0.225 s
% 1.84/0.72 % System time : 0.014 s
% 1.84/0.72 % Total time : 0.239 s
% 1.84/0.72 % Maximum resident set size: 5792 pages
% 1.84/0.72
% 1.84/0.72 % -------------------------------------------------
% 1.84/0.72 % User time : 1.025 s
% 1.84/0.72 % System time : 0.065 s
% 1.84/0.72 % Total time : 1.090 s
% 1.84/0.72 % Maximum resident set size: 5632 pages
% 1.84/0.72 % E exiting
%------------------------------------------------------------------------------