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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWV892-1 : 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 : 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 03:00:08 PM UTC 2026

% Result   : Unsatisfiable 1.26s 0.76s
% Output   : CNFRefutation 1.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   33 (  18 unt;   0 nHn;  24 RR)
%            Number of literals    :   51 (  15 equ;  22 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-4 aty)
%            Number of variables   :   54 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_CollectD_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Collect(X1,X3)))
    | hBOOL(hAPP(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CollectD_0) ).

cnf(cls_CollectI_0,axiom,
    ( ~ hBOOL(hAPP(X3,X2))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),c_Collect(X3,X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CollectI_0) ).

cnf(cls_Collect__def_0,axiom,
    c_Collect(X1,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Collect__def_0) ).

cnf(cls_conjecture_3,negated_conjecture,
    hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),v_pn),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_domD_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Map_Odom(X1,X3,X4)))
    | hAPP(X1,X2) = c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(X2,X1,X3,X4),X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_domD_0) ).

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_the_Osimps_0,axiom,
    c_Option_Othe(c_Option_Ooption_OSome(X1,X2),X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_the_Osimps_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_Com_OWT__bodies,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_4,negated_conjecture,
    ~ c_Com_OWT(c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(c_0_9,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Collect(X1,X3)))
    | hBOOL(hAPP(X1,X2)) ),
    inference(fof_simplification,[status(thm)],[cls_CollectD_0]) ).

cnf(c_0_10,plain,
    ( ~ hBOOL(hAPP(X3,X2))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),c_Collect(X3,X1))) ),
    inference(fof_simplification,[status(thm)],[cls_CollectI_0]) ).

cnf(c_0_11,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Collect(X1,X3)))
    | hBOOL(hAPP(X1,X2)) ),
    c_0_9 ).

cnf(c_0_12,axiom,
    c_Collect(X1,X2) = X1,
    cls_Collect__def_0 ).

cnf(c_0_13,plain,
    ( ~ hBOOL(hAPP(X3,X2))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),c_Collect(X3,X1))) ),
    c_0_10 ).

cnf(c_0_14,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1))
    | hBOOL(hAPP(X1,X2)) ),
    inference(rw,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),v_pn),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom))),
    cls_conjecture_3 ).

cnf(c_0_16,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Map_Odom(X1,X3,X4)))
    | hAPP(X1,X2) = c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(X2,X1,X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[cls_domD_0]) ).

cnf(c_0_17,plain,
    ( ~ hBOOL(hAPP(X3,X2))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(rw,[status(thm)],[c_0_13,c_0_12]) ).

cnf(c_0_18,negated_conjecture,
    hBOOL(hAPP(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),v_pn)),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_19,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Map_Odom(X1,X3,X4)))
    | hAPP(X1,X2) = c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(X2,X1,X3,X4),X4) ),
    c_0_16 ).

cnf(c_0_20,negated_conjecture,
    hBOOL(hAPP(hAPP(c_in(X1),v_pn),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom))),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,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_22,axiom,
    c_Option_Othe(c_Option_Ooption_OSome(X1,X2),X2) = X1,
    cls_the_Osimps_0 ).

cnf(c_0_23,negated_conjecture,
    c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(v_pn,c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom) = hAPP(c_Com_Obody,v_pn),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_24,plain,
    ( ~ c_Com_OWT__bodies
    | hAPP(c_Com_Obody,X1) != c_Option_Ooption_OSome(X2,tc_Com_Ocom)
    | c_Com_OWT(X2) ),
    c_0_21 ).

cnf(c_0_25,negated_conjecture,
    c_Com_OWT__bodies,
    cls_conjecture_1 ).

cnf(c_0_26,negated_conjecture,
    c_Map_Osko__Map__XdomD__1__1(v_pn,c_Com_Obody,tc_Com_Opname,tc_Com_Ocom) = c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_27,negated_conjecture,
    ~ c_Com_OWT(c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom)),
    inference(fof_simplification,[status(thm)],[cls_conjecture_4]) ).

cnf(c_0_28,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_24,c_0_25])]) ).

cnf(c_0_29,negated_conjecture,
    c_Option_Ooption_OSome(c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom),tc_Com_Ocom) = hAPP(c_Com_Obody,v_pn),
    inference(rw,[status(thm)],[c_0_23,c_0_26]) ).

cnf(c_0_30,negated_conjecture,
    ~ c_Com_OWT(c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom)),
    c_0_27 ).

cnf(c_0_31,negated_conjecture,
    hAPP(c_Com_Obody,X1) != hAPP(c_Com_Obody,v_pn),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).

cnf(c_0_32,negated_conjecture,
    $false,
    inference(er,[status(thm)],[c_0_31]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV892-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n008.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 09:31:09 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.44  Running first-order theorem proving
% 0.16/0.44  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
% 1.26/0.76  % Version: 3.5.1
% 1.26/0.76  % Preprocessing class: FSLSSLSMSSSNFFN.
% 1.26/0.76  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.26/0.76  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 1.26/0.76  % Starting new_bool_3 with 300s (1) cores
% 1.26/0.76  % Starting new_bool_1 with 300s (1) cores
% 1.26/0.76  % Starting sh5l with 300s (1) cores
% 1.26/0.76  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 677115 completed with status 0
% 1.26/0.76  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 1.26/0.76  % Preprocessing class: FSLSSLSMSSSNFFN.
% 1.26/0.76  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.26/0.76  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 1.26/0.76  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.26/0.76  % No SInE strategy applied
% 1.26/0.76  % Search class: FGHSM-FSLM32-DFFFFFNN
% 1.26/0.76  % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 1.26/0.76  % Starting SubtermCWHack with 136s (1) cores
% 1.26/0.76  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 151s (1) cores
% 1.26/0.76  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 1.26/0.76  % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 1.26/0.76  % Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 1.26/0.76  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 677124 completed with status 0
% 1.26/0.76  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.26/0.76  % Preprocessing class: FSLSSLSMSSSNFFN.
% 1.26/0.76  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.26/0.76  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 1.26/0.76  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.26/0.76  % No SInE strategy applied
% 1.26/0.76  % Search class: FGHSM-FSLM32-DFFFFFNN
% 1.26/0.76  % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 1.26/0.76  % Starting SubtermCWHack with 136s (1) cores
% 1.26/0.76  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 151s (1) cores
% 1.26/0.76  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 1.26/0.76  % Preprocessing time       : 0.009 s
% 1.26/0.76  % Presaturation interreduction done
% 1.26/0.76  
% 1.26/0.76  % Proof found!
% 1.26/0.76  % SZS status Unsatisfiable
% 1.26/0.76  % SZS output start CNFRefutation
% See solution above
% 1.26/0.76  % Parsed axioms                        : 704
% 1.26/0.76  % Removed by relevancy pruning/SinE    : 0
% 1.26/0.76  % Initial clauses                      : 704
% 1.26/0.76  % Removed in clause preprocessing      : 4
% 1.26/0.76  % Initial clauses in saturation        : 700
% 1.26/0.76  % Processed clauses                    : 1281
% 1.26/0.76  % ...of these trivial                  : 25
% 1.26/0.76  % ...subsumed                          : 131
% 1.26/0.76  % ...remaining for further processing  : 1125
% 1.26/0.76  % Other redundant clauses eliminated   : 66
% 1.26/0.76  % Clauses deleted for lack of memory   : 0
% 1.26/0.76  % Backward-subsumed                    : 1
% 1.26/0.76  % Backward-rewritten                   : 6
% 1.26/0.76  % Generated clauses                    : 9448
% 1.26/0.76  % ...of the previous two non-redundant : 7984
% 1.26/0.76  % ...aggressively subsumed             : 0
% 1.26/0.76  % Contextual simplify-reflections      : 3
% 1.26/0.76  % Paramodulations                      : 9346
% 1.26/0.76  % Factorizations                       : 6
% 1.26/0.76  % NegExts                              : 0
% 1.26/0.76  % Equation resolutions                 : 96
% 1.26/0.76  % Disequality decompositions           : 0
% 1.26/0.76  % Total rewrite steps                  : 3354
% 1.26/0.76  % ...of those cached                   : 2486
% 1.26/0.76  % Propositional unsat checks           : 0
% 1.26/0.76  %    Propositional check models        : 0
% 1.26/0.76  %    Propositional check unsatisfiable : 0
% 1.26/0.76  %    Propositional clauses             : 0
% 1.26/0.76  %    Propositional clauses after purity: 0
% 1.26/0.76  %    Propositional unsat core size     : 0
% 1.26/0.76  %    Propositional preprocessing time  : 0.000
% 1.26/0.76  %    Propositional encoding time       : 0.000
% 1.26/0.76  %    Propositional solver time         : 0.000
% 1.26/0.76  %    Success case prop preproc time    : 0.000
% 1.26/0.76  %    Success case prop encoding time   : 0.000
% 1.26/0.76  %    Success case prop solver time     : 0.000
% 1.26/0.76  % Current number of processed clauses  : 565
% 1.26/0.76  %    Positive orientable unit clauses  : 113
% 1.26/0.76  %    Positive unorientable unit clauses: 9
% 1.26/0.76  %    Negative unit clauses             : 32
% 1.26/0.76  %    Non-unit-clauses                  : 411
% 1.26/0.76  % Current number of unprocessed clauses: 7950
% 1.26/0.76  % ...number of literals in the above   : 19465
% 1.26/0.76  % Current number of archived formulas  : 0
% 1.26/0.76  % Current number of archived clauses   : 561
% 1.26/0.76  % Clause-clause subsumption calls (NU) : 63346
% 1.26/0.76  % Rec. Clause-clause subsumption calls : 45019
% 1.26/0.76  % Non-unit clause-clause subsumptions  : 92
% 1.26/0.76  % Unit Clause-clause subsumption calls : 2171
% 1.26/0.76  % Rewrite failures with RHS unbound    : 0
% 1.26/0.76  % BW rewrite match attempts            : 383
% 1.26/0.76  % BW rewrite match successes           : 69
% 1.26/0.76  % Condensation attempts                : 0
% 1.26/0.76  % Condensation successes               : 0
% 1.26/0.76  % Termbank termtop insertions          : 200200
% 1.26/0.76  % Search garbage collected termcells   : 1353
% 1.26/0.76  
% 1.26/0.76  % -------------------------------------------------
% 1.26/0.76  % User time                : 0.250 s
% 1.26/0.76  % System time              : 0.015 s
% 1.26/0.76  % Total time               : 0.264 s
% 1.26/0.76  % Maximum resident set size: 4900 pages
% 1.26/0.76  
% 1.26/0.76  % -------------------------------------------------
% 1.26/0.76  % User time                : 0.892 s
% 1.26/0.76  % System time              : 0.054 s
% 1.26/0.76  % Total time               : 0.946 s
% 1.26/0.76  % Maximum resident set size: 5376 pages
% 1.26/0.76  % E exiting
%------------------------------------------------------------------------------