%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV901-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 03:00:09 PM UTC 2026
% Result : Unsatisfiable 2.88s 6.32s
% Output : CNFRefutation 2.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 29 ( 16 unt; 0 nHn; 24 RR)
% Number of literals : 54 ( 9 equ; 29 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 : 18 ( 18 usr; 9 con; 0-5 aty)
% Number of variables : 43 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_WT__bodiesD_0,axiom,
( ~ c_Com_OWT__bodies
| hAPP(c_Com_Obody,X1) != c_Option_Ooption_OSome(X2,tc_Com_Ocom)
| c_Com_OWT(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__bodiesD_0) ).
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(hAPP(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/sandbox2/benchmark/theBenchmark.p',cls_MGF_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_Com_OWT__bodies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_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_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,v_y),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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
cnf(cls_cut_0,axiom,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cut_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_5,negated_conjecture,
hAPP(c_Com_Obody,v_pn) = c_Option_Ooption_OSome(v_y,tc_Com_Ocom),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
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/sandbox2/benchmark/theBenchmark.p',cls_image__image_0) ).
cnf(cls_empty_0,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty_0) ).
cnf(c_0_9,plain,
( ~ c_Com_OWT__bodies
| hAPP(c_Com_Obody,X1) != c_Option_Ooption_OSome(X2,tc_Com_Ocom)
| c_Com_OWT(X2) ),
inference(fof_simplification,[status(thm)],[cls_WT__bodiesD_0]) ).
cnf(c_0_10,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(hAPP(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_11,plain,
( ~ c_Com_OWT__bodies
| hAPP(c_Com_Obody,X1) != c_Option_Ooption_OSome(X2,tc_Com_Ocom)
| c_Com_OWT(X2) ),
c_0_9 ).
cnf(c_0_12,negated_conjecture,
c_Com_OWT__bodies,
cls_conjecture_1 ).
cnf(c_0_13,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_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,v_y),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_7]) ).
cnf(c_0_14,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[cls_cut_0]) ).
cnf(c_0_15,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(hAPP(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_10 ).
cnf(c_0_16,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
cls_conjecture_0 ).
cnf(c_0_17,plain,
( hAPP(c_Com_Obody,X2) != c_Option_Ooption_OSome(X1,tc_Com_Ocom)
| c_Com_OWT(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]) ).
cnf(c_0_18,negated_conjecture,
hAPP(c_Com_Obody,v_pn) = c_Option_Ooption_OSome(v_y,tc_Com_Ocom),
cls_conjecture_5 ).
cnf(c_0_19,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_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,v_y),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_13 ).
cnf(c_0_20,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_21,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3) ),
c_0_14 ).
cnf(c_0_22,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(hAPP(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_15,c_0_16]),c_0_12])]) ).
cnf(c_0_23,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),X2),
cls_empty_0 ).
cnf(c_0_24,negated_conjecture,
( hAPP(c_Com_Obody,X1) != hAPP(c_Com_Obody,v_pn)
| c_Com_OWT(v_y) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_25,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_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,v_y),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(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,plain,
( ~ c_Com_OWT(X2)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X2),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(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_27,negated_conjecture,
c_Com_OWT(v_y),
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV901-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/5.68 % Computer : n017.cluster.edu
% 0.21/5.68 % Model : x86_64 x86_64
% 0.21/5.68 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/5.68 % Memory : 8046.5625MB
% 0.21/5.68 % OS : Linux 6.8.0-71-generic
% 0.21/5.68 % CPULimit : 300
% 0.21/5.68 % WCLimit : 300
% 0.21/5.68 % DateTime : Mon Sep 21 09:26:20 UTC 2026
% 0.21/5.68 % CPUTime :
% 0.21/5.68 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/5.75 Running first-order theorem proving
% 0.26/5.75 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 2.88/6.32 % Version: 3.5.1
% 2.88/6.32 % Preprocessing class: FSLSSLSMSSSNFFN.
% 2.88/6.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.88/6.32 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 2.88/6.32 % Starting new_bool_3 with 300s (1) cores
% 2.88/6.32 % Starting new_bool_1 with 300s (1) cores
% 2.88/6.32 % Starting sh5l with 300s (1) cores
% 2.88/6.32 % new_bool_1 with pid 1992474 completed with status 0
% 2.88/6.32 % Result found by new_bool_1
% 2.88/6.32 % Preprocessing class: FSLSSLSMSSSNFFN.
% 2.88/6.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.88/6.32 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 2.88/6.32 % Starting new_bool_3 with 300s (1) cores
% 2.88/6.32 % Starting new_bool_1 with 300s (1) cores
% 2.88/6.32 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 2.88/6.32 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.88/6.32 % Search class: FGHSM-FSLM32-DFFFFFNN
% 2.88/6.32 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 2.88/6.32 % Starting SubtermCWHack with 28s (1) cores
% 2.88/6.32 % SubtermCWHack with pid 1992476 completed with status 0
% 2.88/6.32 % Result found by SubtermCWHack
% 2.88/6.32 % Preprocessing class: FSLSSLSMSSSNFFN.
% 2.88/6.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.88/6.32 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 2.88/6.32 % Starting new_bool_3 with 300s (1) cores
% 2.88/6.32 % Starting new_bool_1 with 300s (1) cores
% 2.88/6.32 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 2.88/6.32 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.88/6.32 % Search class: FGHSM-FSLM32-DFFFFFNN
% 2.88/6.32 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 2.88/6.32 % Starting SubtermCWHack with 28s (1) cores
% 2.88/6.32 % Preprocessing time : 0.008 s
% 2.88/6.32
% 2.88/6.32 % Proof found!
% 2.88/6.32 % SZS status Unsatisfiable
% 2.88/6.32 % SZS output start CNFRefutation
% See solution above
% 2.88/6.32 % Parsed axioms : 713
% 2.88/6.32 % Removed by relevancy pruning/SinE : 371
% 2.88/6.32 % Initial clauses : 342
% 2.88/6.32 % Removed in clause preprocessing : 0
% 2.88/6.32 % Initial clauses in saturation : 342
% 2.88/6.32 % Processed clauses : 2453
% 2.88/6.32 % ...of these trivial : 139
% 2.88/6.32 % ...subsumed : 1560
% 2.88/6.32 % ...remaining for further processing : 754
% 2.88/6.32 % Other redundant clauses eliminated : 90
% 2.88/6.32 % Clauses deleted for lack of memory : 0
% 2.88/6.32 % Backward-subsumed : 40
% 2.88/6.32 % Backward-rewritten : 43
% 2.88/6.32 % Generated clauses : 14852
% 2.88/6.32 % ...of the previous two non-redundant : 11169
% 2.88/6.32 % ...aggressively subsumed : 0
% 2.88/6.32 % Contextual simplify-reflections : 2
% 2.88/6.32 % Paramodulations : 14751
% 2.88/6.32 % Factorizations : 0
% 2.88/6.32 % NegExts : 0
% 2.88/6.32 % Equation resolutions : 101
% 2.88/6.32 % Disequality decompositions : 0
% 2.88/6.32 % Total rewrite steps : 5721
% 2.88/6.32 % ...of those cached : 3607
% 2.88/6.32 % Propositional unsat checks : 0
% 2.88/6.32 % Propositional check models : 0
% 2.88/6.32 % Propositional check unsatisfiable : 0
% 2.88/6.32 % Propositional clauses : 0
% 2.88/6.32 % Propositional clauses after purity: 0
% 2.88/6.32 % Propositional unsat core size : 0
% 2.88/6.32 % Propositional preprocessing time : 0.000
% 2.88/6.32 % Propositional encoding time : 0.000
% 2.88/6.32 % Propositional solver time : 0.000
% 2.88/6.32 % Success case prop preproc time : 0.000
% 2.88/6.32 % Success case prop encoding time : 0.000
% 2.88/6.32 % Success case prop solver time : 0.000
% 2.88/6.32 % Current number of processed clauses : 671
% 2.88/6.32 % Positive orientable unit clauses : 202
% 2.88/6.32 % Positive unorientable unit clauses: 7
% 2.88/6.32 % Negative unit clauses : 18
% 2.88/6.32 % Non-unit-clauses : 444
% 2.88/6.32 % Current number of unprocessed clauses: 8836
% 2.88/6.32 % ...number of literals in the above : 18835
% 2.88/6.32 % Current number of archived formulas : 0
% 2.88/6.32 % Current number of archived clauses : 83
% 2.88/6.32 % Clause-clause subsumption calls (NU) : 28330
% 2.88/6.32 % Rec. Clause-clause subsumption calls : 21585
% 2.88/6.32 % Non-unit clause-clause subsumptions : 1398
% 2.88/6.32 % Unit Clause-clause subsumption calls : 418
% 2.88/6.32 % Rewrite failures with RHS unbound : 0
% 2.88/6.32 % BW rewrite match attempts : 602
% 2.88/6.32 % BW rewrite match successes : 76
% 2.88/6.32 % Condensation attempts : 0
% 2.88/6.32 % Condensation successes : 0
% 2.88/6.32 % Termbank termtop insertions : 237077
% 2.88/6.32 % Search garbage collected termcells : 2054
% 2.88/6.32
% 2.88/6.32 % -------------------------------------------------
% 2.88/6.32 % User time : 0.439 s
% 2.88/6.32 % System time : 0.031 s
% 2.88/6.32 % Total time : 0.470 s
% 2.88/6.32 % Maximum resident set size: 4684 pages
% 2.88/6.32
% 2.88/6.32 % -------------------------------------------------
% 2.88/6.32 % User time : 0.470 s
% 2.88/6.32 % System time : 0.042 s
% 2.88/6.32 % Total time : 0.512 s
% 2.88/6.32 % Maximum resident set size: 5120 pages
% 2.88/6.32 % E exiting
%------------------------------------------------------------------------------