%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV908-1 : 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 : n011.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 03:00:10 PM UTC 2026
% Result : Unsatisfiable 0.50s 20.87s
% Output : CNFRefutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 13 unt; 0 nHn; 13 RR)
% Number of literals : 27 ( 2 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-5 aty)
% Number of variables : 20 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_MGF__lemma2__simult_0,axiom,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ~ c_Com_OWT__bodies
| ~ c_lessequals(X1,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X1,tc_Com_Ostate) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MGF__lemma2__simult_0) ).
cnf(cls_conjecture_4,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_image__image_0,axiom,
c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6) = c_Set_Oimage(c_COMBB(X1,X2,X5,X6,X4),X3,X4,X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__image_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_Com_OWT__bodies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_equalityE_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equalityE_0) ).
cnf(c_0_6,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ~ c_Com_OWT__bodies
| ~ c_lessequals(X1,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X1,tc_Com_Ostate) ),
inference(fof_simplification,[status(thm)],[cls_MGF__lemma2__simult_0]) ).
cnf(c_0_7,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
inference(fof_simplification,[status(thm)],[cls_conjecture_4]) ).
cnf(c_0_8,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ~ c_Com_OWT__bodies
| ~ c_lessequals(X1,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X1,tc_Com_Ostate) ),
c_0_6 ).
cnf(c_0_9,axiom,
c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6) = c_Set_Oimage(c_COMBB(X1,X2,X5,X6,X4),X3,X4,X6),
cls_image__image_0 ).
cnf(c_0_10,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
cls_conjecture_0 ).
cnf(c_0_11,negated_conjecture,
c_Com_OWT__bodies,
cls_conjecture_1 ).
cnf(c_0_12,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
c_0_7 ).
cnf(c_0_13,plain,
( ~ c_lessequals(X1,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X1,tc_Com_Ostate) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11]),c_0_9]),c_0_9])]) ).
cnf(c_0_14,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_equalityE_0 ).
cnf(c_0_15,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_9]),c_0_9]),c_0_9]) ).
cnf(c_0_16,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV908-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/20.63 % CPULimit : 300
% 0.09/20.63 % WCLimit : 300
% 0.09/20.63 % DateTime : Mon Sep 21 09:31:18 UTC 2026
% 0.09/20.64 % CPUTime :
% 0.09/20.64 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.50/20.71 Running first-order theorem proving
% 0.50/20.71 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
% 0.50/20.87 % Version: 3.5.1
% 0.50/20.87 % Preprocessing class: FSLSSLSMSSSNFFN.
% 0.50/20.87 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.50/20.87 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 0.50/20.87 % Starting new_bool_3 with 300s (1) cores
% 0.50/20.87 % Starting new_bool_1 with 300s (1) cores
% 0.50/20.87 % Starting sh5l with 300s (1) cores
% 0.50/20.87 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2525978 completed with status 0
% 0.50/20.87 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 0.50/20.87 % Preprocessing class: FSLSSLSMSSSNFFN.
% 0.50/20.87 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.50/20.87 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 0.50/20.87 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.50/20.87 % No SInE strategy applied
% 0.50/20.87 % Search class: FGHSM-FSLM33-DFFFFFNN
% 0.50/20.87 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.50/20.87 % Starting SubtermCWHack with 136s (1) cores
% 0.50/20.87 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 151s (1) cores
% 0.50/20.87 % Starting U----_206b_01_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.50/20.87 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.50/20.87 % Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.50/20.87 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2525986 completed with status 0
% 0.50/20.87 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 0.50/20.87 % Preprocessing class: FSLSSLSMSSSNFFN.
% 0.50/20.87 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.50/20.87 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 0.50/20.87 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.50/20.87 % No SInE strategy applied
% 0.50/20.87 % Search class: FGHSM-FSLM33-DFFFFFNN
% 0.50/20.87 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.50/20.87 % Starting SubtermCWHack with 136s (1) cores
% 0.50/20.87 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 151s (1) cores
% 0.50/20.87 % Preprocessing time : 0.008 s
% 0.50/20.87
% 0.50/20.87 % Proof found!
% 0.50/20.87 % SZS status Unsatisfiable
% 0.50/20.87 % SZS output start CNFRefutation
% See solution above
% 0.50/20.87 % Parsed axioms : 481
% 0.50/20.87 % Removed by relevancy pruning/SinE : 0
% 0.50/20.87 % Initial clauses : 481
% 0.50/20.87 % Removed in clause preprocessing : 1
% 0.50/20.87 % Initial clauses in saturation : 480
% 0.50/20.87 % Processed clauses : 473
% 0.50/20.87 % ...of these trivial : 18
% 0.50/20.87 % ...subsumed : 77
% 0.50/20.87 % ...remaining for further processing : 378
% 0.50/20.87 % Other redundant clauses eliminated : 0
% 0.50/20.87 % Clauses deleted for lack of memory : 0
% 0.50/20.87 % Backward-subsumed : 0
% 0.50/20.87 % Backward-rewritten : 3
% 0.50/20.87 % Generated clauses : 1984
% 0.50/20.87 % ...of the previous two non-redundant : 1563
% 0.50/20.87 % ...aggressively subsumed : 0
% 0.50/20.87 % Contextual simplify-reflections : 0
% 0.50/20.87 % Paramodulations : 1950
% 0.50/20.87 % Factorizations : 0
% 0.50/20.88 % NegExts : 0
% 0.50/20.88 % Equation resolutions : 34
% 0.50/20.88 % Disequality decompositions : 0
% 0.50/20.88 % Total rewrite steps : 486
% 0.50/20.88 % ...of those cached : 255
% 0.50/20.88 % Propositional unsat checks : 0
% 0.50/20.88 % Propositional check models : 0
% 0.50/20.88 % Propositional check unsatisfiable : 0
% 0.50/20.88 % Propositional clauses : 0
% 0.50/20.88 % Propositional clauses after purity: 0
% 0.50/20.88 % Propositional unsat core size : 0
% 0.50/20.88 % Propositional preprocessing time : 0.000
% 0.50/20.88 % Propositional encoding time : 0.000
% 0.50/20.88 % Propositional solver time : 0.000
% 0.50/20.88 % Success case prop preproc time : 0.000
% 0.50/20.88 % Success case prop encoding time : 0.000
% 0.50/20.88 % Success case prop solver time : 0.000
% 0.50/20.88 % Current number of processed clauses : 375
% 0.50/20.88 % Positive orientable unit clauses : 95
% 0.50/20.88 % Positive unorientable unit clauses: 6
% 0.50/20.88 % Negative unit clauses : 38
% 0.50/20.88 % Non-unit-clauses : 236
% 0.50/20.88 % Current number of unprocessed clauses: 1568
% 0.50/20.88 % ...number of literals in the above : 3697
% 0.50/20.88 % Current number of archived formulas : 0
% 0.50/20.88 % Current number of archived clauses : 4
% 0.50/20.88 % Clause-clause subsumption calls (NU) : 13791
% 0.50/20.88 % Rec. Clause-clause subsumption calls : 10398
% 0.50/20.88 % Non-unit clause-clause subsumptions : 38
% 0.50/20.88 % Unit Clause-clause subsumption calls : 630
% 0.50/20.88 % Rewrite failures with RHS unbound : 0
% 0.50/20.88 % BW rewrite match attempts : 159
% 0.50/20.88 % BW rewrite match successes : 44
% 0.50/20.88 % Condensation attempts : 473
% 0.50/20.88 % Condensation successes : 0
% 0.50/20.88 % Termbank termtop insertions : 41659
% 0.50/20.88 % Search garbage collected termcells : 877
% 0.50/20.88
% 0.50/20.88 % -------------------------------------------------
% 0.50/20.88 % User time : 0.108 s
% 0.50/20.88 % System time : 0.010 s
% 0.50/20.88 % Total time : 0.119 s
% 0.50/20.88 % Maximum resident set size: 4516 pages
% 0.50/20.88
% 0.50/20.88 % -------------------------------------------------
% 0.50/20.88 % User time : 0.505 s
% 0.50/20.88 % System time : 0.056 s
% 0.50/20.88 % Total time : 0.561 s
% 0.50/20.88 % Maximum resident set size: 4864 pages
% 0.50/20.88 % E exiting
%------------------------------------------------------------------------------