%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWV905-1 : 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 : n008.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 03:07:06 PM UTC 2026
% Result : Unsatisfiable 1.00s 0.73s
% Output : CNFRefutation 1.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 12 unt; 2 nHn; 19 RR)
% Number of literals : 36 ( 6 equ; 21 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_MGF_0,axiom,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ~ c_Com_OWT__bodies
| ~ c_Com_OWT(X1)
| c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MGF_0) ).
cnf(cls_conjecture_4,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OBODY(v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_1,negated_conjecture,
c_Com_OWT__bodies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_domIff_0,axiom,
( ~ hBOOL(c_in(X2,c_Map_Odom(X1,X4,X3),X4))
| hAPP(X1,X2) != c_Option_Ooption_ONone(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_domIff_0) ).
cnf(cls_conjecture_3,negated_conjecture,
hBOOL(c_in(v_x,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_WT_OBody_0,axiom,
( hAPP(c_Com_Obody,X1) = c_Option_Ooption_ONone(tc_Com_Ocom)
| c_Com_OWT(c_Com_Ocom_OBODY(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT_OBody_0) ).
cnf(c_0_7,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ~ c_Com_OWT__bodies
| ~ c_Com_OWT(X1)
| c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
inference(fof_simplification,[status(thm)],[cls_MGF_0]) ).
cnf(c_0_8,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OBODY(v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
inference(fof_simplification,[status(thm)],[cls_conjecture_4]) ).
cnf(c_0_9,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ~ c_Com_OWT__bodies
| ~ c_Com_OWT(X1)
| c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
c_0_7 ).
cnf(c_0_10,negated_conjecture,
c_Com_OWT__bodies,
cls_conjecture_1 ).
cnf(c_0_11,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
cls_conjecture_0 ).
cnf(c_0_12,plain,
( ~ hBOOL(c_in(X2,c_Map_Odom(X1,X4,X3),X4))
| hAPP(X1,X2) != c_Option_Ooption_ONone(X3) ),
inference(fof_simplification,[status(thm)],[cls_domIff_0]) ).
cnf(c_0_13,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OBODY(v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
c_0_8 ).
cnf(c_0_14,plain,
( ~ c_Com_OWT(X1)
| c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
cnf(c_0_15,plain,
( ~ hBOOL(c_in(X2,c_Map_Odom(X1,X4,X3),X4))
| hAPP(X1,X2) != c_Option_Ooption_ONone(X3) ),
c_0_12 ).
cnf(c_0_16,negated_conjecture,
hBOOL(c_in(v_x,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname)),
cls_conjecture_3 ).
cnf(c_0_17,negated_conjecture,
~ c_Com_OWT(c_Com_Ocom_OBODY(v_x)),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,axiom,
( hAPP(c_Com_Obody,X1) = c_Option_Ooption_ONone(tc_Com_Ocom)
| c_Com_OWT(c_Com_Ocom_OBODY(X1)) ),
cls_WT_OBody_0 ).
cnf(c_0_19,negated_conjecture,
c_Option_Ooption_ONone(tc_Com_Ocom) != hAPP(c_Com_Obody,v_x),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV905-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n008.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 09:31:54 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.50 Running first-order theorem proving
% 0.17/0.50 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
% 1.00/0.73 % Version: 3.5.1
% 1.00/0.73 % Preprocessing class: FSLSSLSMSSSNFFN.
% 1.00/0.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.00/0.73 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 1.00/0.73 % Starting new_bool_3 with 300s (1) cores
% 1.00/0.73 % Starting new_bool_1 with 300s (1) cores
% 1.00/0.73 % Starting sh5l with 300s (1) cores
% 1.00/0.73 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 677918 completed with status 0
% 1.00/0.73 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 1.00/0.73 % Preprocessing class: FSLSSLSMSSSNFFN.
% 1.00/0.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.00/0.73 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 1.00/0.73 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.00/0.73 % No SInE strategy applied
% 1.00/0.73 % Search class: FGHSM-FSLM32-DFFFFFNN
% 1.00/0.73 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 1.00/0.73 % Starting SubtermCWHack with 136s (1) cores
% 1.00/0.73 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 151s (1) cores
% 1.00/0.73 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 1.00/0.73 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 1.00/0.73 % Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 1.00/0.73 % G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 677928 completed with status 0
% 1.00/0.73 % Result found by G-E--_300_C18_F1_SE_CS_SP_PS_S0Y
% 1.00/0.73 % Preprocessing class: FSLSSLSMSSSNFFN.
% 1.00/0.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.00/0.73 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 1.00/0.73 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.00/0.73 % No SInE strategy applied
% 1.00/0.73 % Search class: FGHSM-FSLM32-DFFFFFNN
% 1.00/0.73 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 1.00/0.73 % Starting SubtermCWHack with 136s (1) cores
% 1.00/0.73 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 151s (1) cores
% 1.00/0.73 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 1.00/0.73 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 1.00/0.73 % Preprocessing time : 0.008 s
% 1.00/0.73 % Presaturation interreduction done
% 1.00/0.73
% 1.00/0.73 % Proof found!
% 1.00/0.73 % SZS status Unsatisfiable
% 1.00/0.73 % SZS output start CNFRefutation
% See solution above
% 1.00/0.73 % Parsed axioms : 486
% 1.00/0.73 % Removed by relevancy pruning/SinE : 0
% 1.00/0.73 % Initial clauses : 486
% 1.00/0.73 % Removed in clause preprocessing : 3
% 1.00/0.73 % Initial clauses in saturation : 483
% 1.00/0.73 % Processed clauses : 556
% 1.00/0.73 % ...of these trivial : 11
% 1.00/0.73 % ...subsumed : 68
% 1.00/0.73 % ...remaining for further processing : 477
% 1.00/0.73 % Other redundant clauses eliminated : 2
% 1.00/0.73 % Clauses deleted for lack of memory : 0
% 1.00/0.73 % Backward-subsumed : 0
% 1.00/0.73 % Backward-rewritten : 2
% 1.00/0.73 % Generated clauses : 27
% 1.00/0.73 % ...of the previous two non-redundant : 19
% 1.00/0.73 % ...aggressively subsumed : 0
% 1.00/0.73 % Contextual simplify-reflections : 0
% 1.00/0.73 % Paramodulations : 23
% 1.00/0.73 % Factorizations : 0
% 1.00/0.73 % NegExts : 0
% 1.00/0.73 % Equation resolutions : 4
% 1.00/0.73 % Disequality decompositions : 0
% 1.00/0.73 % Total rewrite steps : 35
% 1.00/0.73 % ...of those cached : 5
% 1.00/0.73 % Propositional unsat checks : 0
% 1.00/0.73 % Propositional check models : 0
% 1.00/0.73 % Propositional check unsatisfiable : 0
% 1.00/0.73 % Propositional clauses : 0
% 1.00/0.73 % Propositional clauses after purity: 0
% 1.00/0.73 % Propositional unsat core size : 0
% 1.00/0.73 % Propositional preprocessing time : 0.000
% 1.00/0.73 % Propositional encoding time : 0.000
% 1.00/0.73 % Propositional solver time : 0.000
% 1.00/0.73 % Success case prop preproc time : 0.000
% 1.00/0.73 % Success case prop encoding time : 0.000
% 1.00/0.73 % Success case prop solver time : 0.000
% 1.00/0.73 % Current number of processed clauses : 68
% 1.00/0.73 % Positive orientable unit clauses : 39
% 1.00/0.73 % Positive unorientable unit clauses: 0
% 1.00/0.73 % Negative unit clauses : 10
% 1.00/0.73 % Non-unit-clauses : 19
% 1.00/0.73 % Current number of unprocessed clauses: 351
% 1.00/0.73 % ...number of literals in the above : 758
% 1.00/0.73 % Current number of archived formulas : 0
% 1.00/0.73 % Current number of archived clauses : 410
% 1.00/0.73 % Clause-clause subsumption calls (NU) : 12150
% 1.00/0.73 % Rec. Clause-clause subsumption calls : 9692
% 1.00/0.73 % Non-unit clause-clause subsumptions : 51
% 1.00/0.73 % Unit Clause-clause subsumption calls : 77
% 1.00/0.73 % Rewrite failures with RHS unbound : 0
% 1.00/0.73 % BW rewrite match attempts : 91
% 1.00/0.73 % BW rewrite match successes : 26
% 1.00/0.73 % Condensation attempts : 0
% 1.00/0.73 % Condensation successes : 0
% 1.00/0.73 % Termbank termtop insertions : 20818
% 1.00/0.73 % Search garbage collected termcells : 869
% 1.00/0.73
% 1.00/0.73 % -------------------------------------------------
% 1.00/0.73 % User time : 0.085 s
% 1.00/0.73 % System time : 0.014 s
% 1.00/0.73 % Total time : 0.099 s
% 1.00/0.73 % Maximum resident set size: 4532 pages
% 1.00/0.73
% 1.00/0.73 % -------------------------------------------------
% 1.00/0.73 % User time : 0.563 s
% 1.00/0.73 % System time : 0.054 s
% 1.00/0.73 % Total time : 0.617 s
% 1.00/0.73 % Maximum resident set size: 4864 pages
% 1.00/0.73 % E exiting
%------------------------------------------------------------------------------