%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV898-1 : 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 : n014.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 03:00:08 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.76s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 10 unt; 0 nHn; 8 RR)
% Number of literals : 16 ( 2 equ; 8 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-5 aty)
% Number of variables : 24 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
~ c_Finite__Set_Ofinite(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_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
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_finite__imageI_0,axiom,
( ~ c_Finite__Set_Ofinite(X2,X3)
| c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__imageI_0) ).
cnf(cls_finite__dom__body_0,axiom,
c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__dom__body_0) ).
cnf(c_0_4,negated_conjecture,
~ c_Finite__Set_Ofinite(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_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).
cnf(c_0_5,negated_conjecture,
~ c_Finite__Set_Ofinite(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_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
c_0_4 ).
cnf(c_0_6,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_7,plain,
( ~ c_Finite__Set_Ofinite(X2,X3)
| c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4) ),
inference(fof_simplification,[status(thm)],[cls_finite__imageI_0]) ).
cnf(c_0_8,negated_conjecture,
~ c_Finite__Set_Ofinite(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),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)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
inference(rw,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,plain,
( ~ c_Finite__Set_Ofinite(X2,X3)
| c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4) ),
c_0_7 ).
cnf(c_0_10,negated_conjecture,
~ c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,axiom,
c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
cls_finite__dom__body_0 ).
cnf(c_0_12,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_9]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV898-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/5.58 % Computer : n014.cluster.edu
% 0.12/5.58 % Model : x86_64 x86_64
% 0.12/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.58 % Memory : 8046.5625MB
% 0.12/5.58 % OS : Linux 6.8.0-71-generic
% 0.12/5.58 % CPULimit : 300
% 0.12/5.58 % WCLimit : 300
% 0.12/5.58 % DateTime : Mon Sep 21 09:30:56 UTC 2026
% 0.12/5.58 % CPUTime :
% 0.12/5.58 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.63 Running first-order theorem proving
% 0.15/5.63 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
% 0.15/5.76 % Version: 3.5.1
% 0.15/5.76 % Preprocessing class: FSLSSLSMSSSNFFN.
% 0.15/5.76 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.76 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 0.15/5.76 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.76 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.76 % Starting sh5l with 300s (1) cores
% 0.15/5.76 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 3738479 completed with status 0
% 0.15/5.76 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 0.15/5.76 % Preprocessing class: FSLSSLSMSSSNFFN.
% 0.15/5.76 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.76 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 0.15/5.76 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.76 % No SInE strategy applied
% 0.15/5.76 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.15/5.76 % Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.76 % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.76 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 151s (1) cores
% 0.15/5.76 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 123s (1) cores
% 0.15/5.76 % Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 0.15/5.76 % Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 123s (1) cores
% 0.15/5.76 % U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with pid 3738489 completed with status 0
% 0.15/5.76 % Result found by U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN
% 0.15/5.76 % Preprocessing class: FSLSSLSMSSSNFFN.
% 0.15/5.76 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.76 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 0.15/5.76 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.76 % No SInE strategy applied
% 0.15/5.76 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.15/5.76 % Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.76 % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.76 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 151s (1) cores
% 0.15/5.76 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 123s (1) cores
% 0.15/5.76 % Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 0.15/5.76 % Preprocessing time : 0.009 s
% 0.15/5.76 % Presaturation interreduction done
% 0.15/5.76
% 0.15/5.76 % Proof found!
% 0.15/5.76 % SZS status Unsatisfiable
% 0.15/5.76 % SZS output start CNFRefutation
% See solution above
% 0.15/5.76 % Parsed axioms : 626
% 0.15/5.76 % Removed by relevancy pruning/SinE : 0
% 0.15/5.76 % Initial clauses : 626
% 0.15/5.76 % Removed in clause preprocessing : 1
% 0.15/5.76 % Initial clauses in saturation : 625
% 0.15/5.76 % Processed clauses : 926
% 0.15/5.76 % ...of these trivial : 12
% 0.15/5.76 % ...subsumed : 94
% 0.15/5.76 % ...remaining for further processing : 820
% 0.15/5.76 % Other redundant clauses eliminated : 1
% 0.15/5.76 % Clauses deleted for lack of memory : 0
% 0.15/5.76 % Backward-subsumed : 1
% 0.15/5.76 % Backward-rewritten : 31
% 0.15/5.76 % Generated clauses : 377
% 0.15/5.76 % ...of the previous two non-redundant : 299
% 0.15/5.76 % ...aggressively subsumed : 0
% 0.15/5.76 % Contextual simplify-reflections : 0
% 0.15/5.76 % Paramodulations : 374
% 0.15/5.76 % Factorizations : 0
% 0.15/5.76 % NegExts : 0
% 0.15/5.76 % Equation resolutions : 3
% 0.15/5.76 % Disequality decompositions : 0
% 0.15/5.76 % Total rewrite steps : 322
% 0.15/5.76 % ...of those cached : 165
% 0.15/5.76 % Propositional unsat checks : 0
% 0.15/5.76 % Propositional check models : 0
% 0.15/5.76 % Propositional check unsatisfiable : 0
% 0.15/5.76 % Propositional clauses : 0
% 0.15/5.76 % Propositional clauses after purity: 0
% 0.15/5.76 % Propositional unsat core size : 0
% 0.15/5.76 % Propositional preprocessing time : 0.000
% 0.15/5.76 % Propositional encoding time : 0.000
% 0.15/5.76 % Propositional solver time : 0.000
% 0.15/5.76 % Success case prop preproc time : 0.000
% 0.15/5.76 % Success case prop encoding time : 0.000
% 0.15/5.76 % Success case prop solver time : 0.000
% 0.15/5.76 % Current number of processed clauses : 250
% 0.15/5.76 % Positive orientable unit clauses : 125
% 0.15/5.76 % Positive unorientable unit clauses: 1
% 0.15/5.76 % Negative unit clauses : 7
% 0.15/5.76 % Non-unit-clauses : 117
% 0.15/5.76 % Current number of unprocessed clauses: 535
% 0.15/5.76 % ...number of literals in the above : 1276
% 0.15/5.76 % Current number of archived formulas : 0
% 0.15/5.76 % Current number of archived clauses : 570
% 0.15/5.76 % Clause-clause subsumption calls (NU) : 20869
% 0.15/5.76 % Rec. Clause-clause subsumption calls : 16899
% 0.15/5.76 % Non-unit clause-clause subsumptions : 77
% 0.15/5.76 % Unit Clause-clause subsumption calls : 387
% 0.15/5.76 % Rewrite failures with RHS unbound : 0
% 0.15/5.76 % BW rewrite match attempts : 1024
% 0.15/5.76 % BW rewrite match successes : 110
% 0.15/5.76 % Condensation attempts : 0
% 0.15/5.76 % Condensation successes : 0
% 0.15/5.76 % Termbank termtop insertions : 33185
% 0.15/5.76 % Search garbage collected termcells : 1141
% 0.15/5.76
% 0.15/5.76 % -------------------------------------------------
% 0.15/5.76 % User time : 0.090 s
% 0.15/5.76 % System time : 0.009 s
% 0.15/5.76 % Total time : 0.099 s
% 0.15/5.76 % Maximum resident set size: 4612 pages
% 0.15/5.76
% 0.15/5.76 % -------------------------------------------------
% 0.15/5.76 % User time : 0.428 s
% 0.15/5.76 % System time : 0.038 s
% 0.15/5.76 % Total time : 0.466 s
% 0.15/5.76 % Maximum resident set size: 5120 pages
% 0.15/5.76 % E exiting
%------------------------------------------------------------------------------