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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : CSR038+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 12:16:05 PM UTC 2026

% Result   : Theorem 1.80s 6.51s
% Output   : CNFRefutation 1.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (   6 unt;   0 def)
%            Number of atoms       :   40 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   36 (  16   ~;  11   |;   4   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-4 aty)
%            Number of variables   :   23 (   0 sgn  13   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(query188,conjecture,
    ? [X16] :
      ( mtvisible(c_knowledgefragmentd3mt)
     => ( tptpcol_16_7738(X16)
        & tptp_8_968(X16,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query188) ).

fof(ax3_36134,axiom,
    ! [X16] :
      ( isa(X16,c_tptpcol_16_7738)
     => tptpcol_16_7738(X16) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_36134) ).

fof(ax3_14429,axiom,
    ! [X5] :
      ( isa(X5,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
     => tptp_8_968(f_relationexistsallfn(X5,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_14429) ).

fof(ax3_4303,axiom,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_4303) ).

fof(ax3_4485,axiom,
    ! [X5,X9,X10,X11] :
      ( ( relationexistsall(X10,X11,X9)
        & isa(X5,X9) )
     => isa(f_relationexistsallfn(X5,X10,X11,X9),X11) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_4485) ).

fof(ax3_14430,axiom,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_14430) ).

fof(c_0_6,negated_conjecture,
    ~ ? [X16] :
        ( mtvisible(c_knowledgefragmentd3mt)
       => ( tptpcol_16_7738(X16)
          & tptp_8_968(X16,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
    inference(assume_negation,[status(cth)],[query188]) ).

fof(c_0_7,negated_conjecture,
    ! [X24] :
      ( ( ~ tptpcol_16_7738(X24)
        | ~ tptp_8_968(X24,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) )
      & mtvisible(c_knowledgefragmentd3mt) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).

fof(c_0_8,plain,
    ! [X25] :
      ( tptpcol_16_7738(X25)
      | ~ isa(X25,c_tptpcol_16_7738) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3_36134])])]) ).

cnf(c_0_9,negated_conjecture,
    ( ~ tptpcol_16_7738(X1)
    | ~ tptp_8_968(X1,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,plain,
    ( ~ isa(X1,c_tptpcol_16_7738)
    | tptpcol_16_7738(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_11,plain,
    ! [X29] :
      ( tptp_8_968(f_relationexistsallfn(X29,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X29)
      | ~ isa(X29,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3_14429])])]) ).

cnf(c_0_12,negated_conjecture,
    ( ~ isa(X1,c_tptpcol_16_7738)
    | ~ tptp_8_968(X1,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,plain,
    ( ~ isa(X1,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
    | tptp_8_968(f_relationexistsallfn(X1,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_14,plain,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(split_conjunct,[status(thm)],[ax3_4303]) ).

fof(c_0_15,plain,
    ! [X44,X45,X46,X47] :
      ( isa(f_relationexistsallfn(X44,X46,X47,X45),X47)
      | ~ relationexistsall(X46,X47,X45)
      | ~ isa(X44,X45) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3_4485])])]) ).

cnf(c_0_16,negated_conjecture,
    ~ isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).

cnf(c_0_17,plain,
    ( ~ relationexistsall(X3,X4,X2)
    | ~ isa(X1,X2)
    | isa(f_relationexistsallfn(X1,X3,X4,X2),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_18,plain,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(split_conjunct,[status(thm)],[ax3_14430]) ).

cnf(c_0_19,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_14])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR038+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/5.38  % Computer : n009.cluster.edu
% 0.13/5.38  % Model    : x86_64 x86_64
% 0.13/5.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.38  % Memory   : 8046.5625MB
% 0.13/5.38  % OS       : Linux 6.8.0-71-generic
% 0.13/5.38  % CPULimit : 300
% 0.13/5.38  % WCLimit  : 300
% 0.13/5.38  % DateTime : Mon Sep 21 14:30:04 UTC 2026
% 0.13/5.38  % CPUTime  : 
% 0.13/5.38  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/5.43  Running first-order theorem proving
% 0.16/5.43  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
% 1.80/6.51  % Version: 3.5.1
% 1.80/6.51  % Preprocessing class: FMLLLMSLSSSNFFN.
% 1.80/6.51  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.80/6.51  % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 1500s (5) cores
% 1.80/6.51  % Starting new_bool_3 with 300s (1) cores
% 1.80/6.51  % Starting new_bool_1 with 300s (1) cores
% 1.80/6.51  % Starting sh5l with 300s (1) cores
% 1.80/6.51  % new_bool_1 with pid 2008214 completed with status 0
% 1.80/6.51  % Result found by new_bool_1
% 1.80/6.51  % Preprocessing class: FMLLLMSLSSSNFFN.
% 1.80/6.51  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.80/6.51  % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 1500s (5) cores
% 1.80/6.51  % Starting new_bool_3 with 300s (1) cores
% 1.80/6.51  % Starting new_bool_1 with 300s (1) cores
% 1.80/6.51  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.80/6.51  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.80/6.51  % Search class: FHHNM-FFMM32-SFFFFFNN
% 1.80/6.51  % partial match(1): FHHNM-FFMM33-SFFFFFNN
% 1.80/6.51  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.80/6.51  % Starting SubtermCWHack with 31s (1) cores
% 1.80/6.51  % SubtermCWHack with pid 2008216 completed with status 0
% 1.80/6.51  % Result found by SubtermCWHack
% 1.80/6.51  % Preprocessing class: FMLLLMSLSSSNFFN.
% 1.80/6.51  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.80/6.51  % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 1500s (5) cores
% 1.80/6.51  % Starting new_bool_3 with 300s (1) cores
% 1.80/6.51  % Starting new_bool_1 with 300s (1) cores
% 1.80/6.51  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.80/6.51  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.80/6.51  % Search class: FHHNM-FFMM32-SFFFFFNN
% 1.80/6.51  % partial match(1): FHHNM-FFMM33-SFFFFFNN
% 1.80/6.51  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.80/6.51  % Starting SubtermCWHack with 31s (1) cores
% 1.80/6.51  % Preprocessing time       : 0.018 s
% 1.80/6.51  
% 1.80/6.51  % Proof found!
% 1.80/6.51  % SZS status Theorem
% 1.80/6.51  % SZS output start CNFRefutation
% See solution above
% 1.80/6.51  % Parsed axioms                        : 44217
% 1.80/6.51  % Removed by relevancy pruning/SinE    : 44152
% 1.80/6.51  % Initial clauses                      : 66
% 1.80/6.51  % Removed in clause preprocessing      : 0
% 1.80/6.51  % Initial clauses in saturation        : 66
% 1.80/6.51  % Processed clauses                    : 87
% 1.80/6.51  % ...of these trivial                  : 8
% 1.80/6.51  % ...subsumed                          : 13
% 1.80/6.51  % ...remaining for further processing  : 66
% 1.80/6.51  % Other redundant clauses eliminated   : 0
% 1.80/6.51  % Clauses deleted for lack of memory   : 0
% 1.80/6.51  % Backward-subsumed                    : 0
% 1.80/6.51  % Backward-rewritten                   : 0
% 1.80/6.51  % Generated clauses                    : 39
% 1.80/6.51  % ...of the previous two non-redundant : 22
% 1.80/6.51  % ...aggressively subsumed             : 0
% 1.80/6.51  % Contextual simplify-reflections      : 0
% 1.80/6.51  % Paramodulations                      : 39
% 1.80/6.51  % Factorizations                       : 0
% 1.80/6.51  % NegExts                              : 0
% 1.80/6.51  % Equation resolutions                 : 0
% 1.80/6.51  % Disequality decompositions           : 0
% 1.80/6.51  % Total rewrite steps                  : 27
% 1.80/6.51  % ...of those cached                   : 15
% 1.80/6.51  % Propositional unsat checks           : 0
% 1.80/6.51  %    Propositional check models        : 0
% 1.80/6.51  %    Propositional check unsatisfiable : 0
% 1.80/6.51  %    Propositional clauses             : 0
% 1.80/6.51  %    Propositional clauses after purity: 0
% 1.80/6.51  %    Propositional unsat core size     : 0
% 1.80/6.51  %    Propositional preprocessing time  : 0.000
% 1.80/6.51  %    Propositional encoding time       : 0.000
% 1.80/6.51  %    Propositional solver time         : 0.000
% 1.80/6.51  %    Success case prop preproc time    : 0.000
% 1.80/6.51  %    Success case prop encoding time   : 0.000
% 1.80/6.51  %    Success case prop solver time     : 0.000
% 1.80/6.51  % Current number of processed clauses  : 66
% 1.80/6.51  %    Positive orientable unit clauses  : 36
% 1.80/6.51  %    Positive unorientable unit clauses: 0
% 1.80/6.51  %    Negative unit clauses             : 1
% 1.80/6.51  %    Non-unit-clauses                  : 29
% 1.80/6.51  % Current number of unprocessed clauses: 1
% 1.80/6.51  % ...number of literals in the above   : 2
% 1.80/6.51  % Current number of archived formulas  : 0
% 1.80/6.51  % Current number of archived clauses   : 0
% 1.80/6.51  % Clause-clause subsumption calls (NU) : 126
% 1.80/6.51  % Rec. Clause-clause subsumption calls : 111
% 1.80/6.51  % Non-unit clause-clause subsumptions  : 13
% 1.80/6.51  % Unit Clause-clause subsumption calls : 4
% 1.80/6.51  % Rewrite failures with RHS unbound    : 0
% 1.80/6.51  % BW rewrite match attempts            : 0
% 1.80/6.51  % BW rewrite match successes           : 0
% 1.80/6.51  % Condensation attempts                : 0
% 1.80/6.51  % Condensation successes               : 0
% 1.80/6.51  % Termbank termtop insertions          : 294890
% 1.80/6.51  % Search garbage collected termcells   : 157718
% 1.80/6.51  
% 1.80/6.51  % -------------------------------------------------
% 1.80/6.51  % User time                : 0.178 s
% 1.80/6.51  % System time              : 0.095 s
% 1.80/6.51  % Total time               : 0.273 s
% 1.80/6.51  % Maximum resident set size: 84020 pages
% 1.80/6.51  
% 1.80/6.51  % -------------------------------------------------
% 1.80/6.51  % User time                : 0.899 s
% 1.80/6.51  % System time              : 0.158 s
% 1.80/6.51  % Total time               : 1.057 s
% 1.80/6.51  % Maximum resident set size: 38144 pages
% 1.80/6.51  % E exiting
%------------------------------------------------------------------------------