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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : CSR113+27 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n026.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 12:17:01 PM UTC 2026

% Result   : Theorem 0.89s 0.97s
% Output   : CNFRefutation 0.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   24 (   8 unt;   0 def)
%            Number of atoms       :  235 (   0 equ)
%            Maximal formula atoms :  165 (   9 avg)
%            Number of connectives :  251 (  40   ~;  31   |; 178   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  165 (  11 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   21 (  20 usr;   1 prp; 0-9 aty)
%            Number of functors    :   52 (  52 usr;  50 con; 0-3 aty)
%            Number of variables   :   57 (  14 sgn  20   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(synth_qa07_003_qapn_26_a19713,conjecture,
    ? [X1,X2,X3,X4] :
      ( val(X1,new_york_0)
      & sub(X1,name_1_1)
      & scar(X3,X4)
      & attr(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',synth_qa07_003_qapn_26_a19713) ).

fof(ave07_era5_synth_qa07_003_qapn_26_a19713,hypothesis,
    ( varia(statue_1_1,varia_c)
    & refer(statue_1_1,refer_c)
    & quant(statue_1_1,one)
    & gener(statue_1_1,ge)
    & fact(statue_1_1,real)
    & etype(statue_1_1,int0)
    & card(statue_1_1,int1)
    & sort(statue_1_1,d)
    & varia(c78466,varia_c)
    & refer(c78466,det)
    & quant(c78466,one)
    & gener(c78466,sp)
    & fact(c78466,real)
    & etype(c78466,int0)
    & card(c78466,int1)
    & sort(c78466,d)
    & varia(c79239,varia_c)
    & refer(c79239,refer_c)
    & quant(c79239,quant_c)
    & gener(c79239,gener_c)
    & fact(c79239,real)
    & etype(c79239,etype_c)
    & card(c79239,card_c)
    & sort(c79239,ent)
    & sort(new_york_0,fe)
    & varia(name_1_1,varia_c)
    & refer(name_1_1,refer_c)
    & quant(name_1_1,one)
    & gener(name_1_1,ge)
    & fact(name_1_1,real)
    & etype(name_1_1,int0)
    & card(name_1_1,int1)
    & sort(name_1_1,na)
    & varia(stadt__1_1,varia_c)
    & refer(stadt__1_1,refer_c)
    & quant(stadt__1_1,one)
    & gener(stadt__1_1,ge)
    & fact(stadt__1_1,real)
    & etype(stadt__1_1,int0)
    & card(stadt__1_1,int1)
    & sort(stadt__1_1,io)
    & sort(stadt__1_1,d)
    & varia(c78538,varia_c)
    & refer(c78538,indet)
    & quant(c78538,one)
    & gener(c78538,sp)
    & fact(c78538,real)
    & etype(c78538,int0)
    & card(c78538,int1)
    & sort(c78538,na)
    & varia(c78537,con)
    & refer(c78537,det)
    & quant(c78537,one)
    & gener(c78537,sp)
    & fact(c78537,real)
    & etype(c78537,int0)
    & card(c78537,int1)
    & sort(c78537,io)
    & sort(c78537,d)
    & varia(freiheitsstatue_1_1,varia_c)
    & refer(freiheitsstatue_1_1,refer_c)
    & quant(freiheitsstatue_1_1,one)
    & gener(freiheitsstatue_1_1,ge)
    & fact(freiheitsstatue_1_1,real)
    & etype(freiheitsstatue_1_1,int0)
    & card(freiheitsstatue_1_1,int1)
    & sort(freiheitsstatue_1_1,d)
    & varia(c78531,con)
    & refer(c78531,det)
    & quant(c78531,one)
    & gener(c78531,sp)
    & fact(c78531,real)
    & etype(c78531,int0)
    & card(c78531,int1)
    & sort(c78531,d)
    & varia(wort_2_1,varia_c)
    & refer(wort_2_1,refer_c)
    & quant(wort_2_1,one)
    & gener(wort_2_1,ge)
    & fact(wort_2_1,real)
    & etype(wort_2_1,int0)
    & card(wort_2_1,int1)
    & sort(wort_2_1,io)
    & sort(wort_2_1,d)
    & varia(c78522,varia_c)
    & refer(c78522,indet)
    & quant(c78522,mult)
    & gener(c78522,gener_c)
    & fact(c78522,real)
    & etype(c78522,int1)
    & card(c78522,cons(x_constant,cons(int1,nil)))
    & sort(c78522,io)
    & sort(c78522,d)
    & sort(ber__374hmt_1_1,nq)
    & varia(c78520,con)
    & refer(c78520,det)
    & quant(c78520,mult)
    & gener(c78520,sp)
    & fact(c78520,real)
    & etype(c78520,int1)
    & card(c78520,cons(x_constant,cons(int1,nil)))
    & sort(c78520,o)
    & varia(freiheit_1_1,varia_c)
    & refer(freiheit_1_1,refer_c)
    & quant(freiheit_1_1,one)
    & gener(freiheit_1_1,ge)
    & fact(freiheit_1_1,real)
    & etype(freiheit_1_1,int0)
    & card(freiheit_1_1,int1)
    & sort(freiheit_1_1,io)
    & sort(freiheit_1_1,as)
    & varia(c78495,con)
    & refer(c78495,det)
    & quant(c78495,one)
    & gener(c78495,sp)
    & fact(c78495,real)
    & etype(c78495,int0)
    & card(c78495,int1)
    & sort(c78495,io)
    & sort(c78495,as)
    & varia(sich_1_1,varia_c)
    & refer(sich_1_1,refer_c)
    & quant(sich_1_1,one)
    & gener(sich_1_1,gener_c)
    & fact(sich_1_1,real)
    & etype(sich_1_1,int0)
    & card(sich_1_1,int1)
    & sort(sich_1_1,o)
    & varia(c78489,varia_c)
    & refer(c78489,refer_c)
    & quant(c78489,one)
    & gener(c78489,gener_c)
    & fact(c78489,real)
    & etype(c78489,int0)
    & card(c78489,int1)
    & sort(c78489,o)
    & varia(masse_1_1,varia_c)
    & refer(masse_1_1,refer_c)
    & quant(masse_1_1,quant_c)
    & gener(masse_1_1,ge)
    & fact(masse_1_1,real)
    & etype(masse_1_1,int1)
    & card(masse_1_1,card_c)
    & sort(masse_1_1,io)
    & varia(c78483,varia_c)
    & refer(c78483,indet)
    & quant(c78483,mult)
    & gener(c78483,gener_c)
    & fact(c78483,real)
    & etype(c78483,int2)
    & card(c78483,cons(x_constant,cons(int1,nil)))
    & sort(c78483,io)
    & sub(freiheitsstatue_1_1,statue_1_1)
    & assoc(freiheitsstatue_1_1,freiheit_1_1)
    & tupl_p9(c79239,c78466,c78483,c78489,c78495,c78520,c78522,c78531,c78537)
    & val(c78538,new_york_0)
    & sub(c78538,name_1_1)
    & sub(c78537,stadt__1_1)
    & attr(c78537,c78538)
    & sub(c78531,freiheitsstatue_1_1)
    & pred(c78522,wort_2_1)
    & prop(c78520,ber__374hmt_1_1)
    & sub(c78495,freiheit_1_1)
    & sub(c78489,sich_1_1)
    & pred(c78483,masse_1_1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ave07_era5_synth_qa07_003_qapn_26_a19713) ).

fof(attr_name__abk__374rzung_stehen_1_b_f__374r,axiom,
    ! [X1,X2,X3] :
      ( ( sub(X1,X2)
        & member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        & attr(X3,X1) )
     => ? [X4] :
          ( subs(X4,stehen_1_b)
          & scar(X4,X3)
          & obj(X4,X3)
          & mcont(X4,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR004+0.ax',attr_name__abk__374rzung_stehen_1_b_f__374r) ).

fof(member_second,axiom,
    ! [X1,X2,X3] :
      ( member(X1,X3)
     => member(X1,cons(X2,X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR004+0.ax',member_second) ).

fof(member_first,axiom,
    ! [X1,X2] : member(X1,cons(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR004+0.ax',member_first) ).

fof(c_0_5,negated_conjecture,
    ~ ? [X1,X2,X3,X4] :
        ( val(X1,new_york_0)
        & sub(X1,name_1_1)
        & scar(X3,X4)
        & attr(X2,X1) ),
    inference(assume_negation,[status(cth)],[synth_qa07_003_qapn_26_a19713]) ).

fof(c_0_6,negated_conjecture,
    ! [X8,X9,X10,X11] :
      ( ~ val(X8,new_york_0)
      | ~ sub(X8,name_1_1)
      | ~ scar(X10,X11)
      | ~ attr(X9,X8) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).

cnf(c_0_7,negated_conjecture,
    ( ~ val(X2,new_york_0)
    | ~ sub(X2,name_1_1)
    | ~ scar(X3,X4)
    | ~ attr(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_8,hypothesis,
    val(c78538,new_york_0),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_qapn_26_a19713]) ).

cnf(c_0_9,hypothesis,
    sub(c78538,name_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_qapn_26_a19713]) ).

fof(c_0_10,plain,
    ! [X336,X337,X338] :
      ( ( ~ sub(X336,X337)
        | ~ member(X337,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ attr(X338,X336)
        | subs(esk47_3(X336,X337,X338),stehen_1_b) )
      & ( ~ sub(X336,X337)
        | ~ member(X337,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ attr(X338,X336)
        | scar(esk47_3(X336,X337,X338),X338) )
      & ( ~ sub(X336,X337)
        | ~ member(X337,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ attr(X338,X336)
        | obj(esk47_3(X336,X337,X338),X338) )
      & ( ~ sub(X336,X337)
        | ~ member(X337,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ attr(X338,X336)
        | mcont(esk47_3(X336,X337,X338),X338) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[attr_name__abk__374rzung_stehen_1_b_f__374r])])])])]) ).

cnf(c_0_11,hypothesis,
    ( ~ scar(X2,X3)
    | ~ attr(X1,c78538) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).

cnf(c_0_12,hypothesis,
    attr(c78537,c78538),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_qapn_26_a19713]) ).

cnf(c_0_13,plain,
    ( ~ sub(X1,X2)
    | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
    | ~ attr(X3,X1)
    | scar(esk47_3(X1,X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,hypothesis,
    ~ scar(X1,X2),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

fof(c_0_15,plain,
    ! [X173,X174,X175] :
      ( member(X173,cons(X174,X175))
      | ~ member(X173,X175) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[member_second])])]) ).

cnf(c_0_16,plain,
    ( ~ member(X3,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
    | ~ sub(X2,X3)
    | ~ attr(X1,X2) ),
    inference(sr,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,plain,
    ( ~ member(X1,X2)
    | member(X1,cons(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_18,plain,
    ( ~ member(X3,cons(familiename_1_1,cons(name_1_1,nil)))
    | ~ sub(X2,X3)
    | ~ attr(X1,X2) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

fof(c_0_19,plain,
    ! [X171,X172] : member(X171,cons(X171,X172)),
    inference(variable_rename,[status(thm)],[member_first]) ).

cnf(c_0_20,plain,
    ( ~ member(X3,cons(name_1_1,nil))
    | ~ sub(X2,X3)
    | ~ attr(X1,X2) ),
    inference(spm,[status(thm)],[c_0_18,c_0_17]) ).

cnf(c_0_21,plain,
    member(X1,cons(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_22,plain,
    ( ~ sub(X2,name_1_1)
    | ~ attr(X1,X2) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_23,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_12]),c_0_9])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR113+27 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n026.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 21 15:05:53 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  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
% 0.89/0.97  % Version: 3.5.1
% 0.89/0.97  % Preprocessing class: FMLLSMSLSSSNFFN.
% 0.89/0.97  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.89/0.97  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 0.89/0.97  % Starting new_bool_3 with 300s (1) cores
% 0.89/0.97  % Starting new_bool_1 with 300s (1) cores
% 0.89/0.97  % Starting sh5l with 300s (1) cores
% 0.89/0.97  % sh5l with pid 2562377 completed with status 0
% 0.89/0.97  % Result found by sh5l
% 0.89/0.97  % Preprocessing class: FMLLSMSLSSSNFFN.
% 0.89/0.97  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.89/0.97  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 0.89/0.97  % Starting new_bool_3 with 300s (1) cores
% 0.89/0.97  % Starting new_bool_1 with 300s (1) cores
% 0.89/0.97  % Starting sh5l with 300s (1) cores
% 0.89/0.97  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.89/0.97  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.89/0.97  % Search class: FHHNS-FSLM32-MFFFFFNN
% 0.89/0.97  % partial match(2): FHHNS-SMLM32-MFFFFFNN
% 0.89/0.97  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.89/0.97  % Starting SubtermCWHack with 31s (1) cores
% 0.89/0.97  % SubtermCWHack with pid 2562392 completed with status 0
% 0.89/0.97  % Result found by SubtermCWHack
% 0.89/0.97  % Preprocessing class: FMLLSMSLSSSNFFN.
% 0.89/0.97  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.89/0.97  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 0.89/0.97  % Starting new_bool_3 with 300s (1) cores
% 0.89/0.97  % Starting new_bool_1 with 300s (1) cores
% 0.89/0.97  % Starting sh5l with 300s (1) cores
% 0.89/0.97  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.89/0.97  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.89/0.97  % Search class: FHHNS-FSLM32-MFFFFFNN
% 0.89/0.97  % partial match(2): FHHNS-SMLM32-MFFFFFNN
% 0.89/0.97  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.89/0.97  % Starting SubtermCWHack with 31s (1) cores
% 0.89/0.97  % Preprocessing time       : 0.017 s
% 0.89/0.97  
% 0.89/0.97  % Proof found!
% 0.89/0.97  % SZS status Theorem
% 0.89/0.97  % SZS output start CNFRefutation
% See solution above
% 0.89/0.97  % Parsed axioms                        : 10189
% 0.89/0.97  % Removed by relevancy pruning/SinE    : 9958
% 0.89/0.97  % Initial clauses                      : 540
% 0.89/0.97  % Removed in clause preprocessing      : 0
% 0.89/0.97  % Initial clauses in saturation        : 540
% 0.89/0.97  % Processed clauses                    : 1679
% 0.89/0.97  % ...of these trivial                  : 2
% 0.89/0.97  % ...subsumed                          : 218
% 0.89/0.97  % ...remaining for further processing  : 1459
% 0.89/0.97  % Other redundant clauses eliminated   : 0
% 0.89/0.97  % Clauses deleted for lack of memory   : 0
% 0.89/0.97  % Backward-subsumed                    : 93
% 0.89/0.97  % Backward-rewritten                   : 0
% 0.89/0.97  % Generated clauses                    : 2510
% 0.89/0.97  % ...of the previous two non-redundant : 2370
% 0.89/0.97  % ...aggressively subsumed             : 0
% 0.89/0.97  % Contextual simplify-reflections      : 0
% 0.89/0.97  % Paramodulations                      : 2510
% 0.89/0.97  % Factorizations                       : 0
% 0.89/0.97  % NegExts                              : 0
% 0.89/0.97  % Equation resolutions                 : 0
% 0.89/0.97  % Disequality decompositions           : 0
% 0.89/0.97  % Total rewrite steps                  : 4
% 0.89/0.97  % ...of those cached                   : 1
% 0.89/0.97  % Propositional unsat checks           : 0
% 0.89/0.97  %    Propositional check models        : 0
% 0.89/0.97  %    Propositional check unsatisfiable : 0
% 0.89/0.97  %    Propositional clauses             : 0
% 0.89/0.97  %    Propositional clauses after purity: 0
% 0.89/0.97  %    Propositional unsat core size     : 0
% 0.89/0.97  %    Propositional preprocessing time  : 0.000
% 0.89/0.97  %    Propositional encoding time       : 0.000
% 0.89/0.97  %    Propositional solver time         : 0.000
% 0.89/0.97  %    Success case prop preproc time    : 0.000
% 0.89/0.97  %    Success case prop encoding time   : 0.000
% 0.89/0.97  %    Success case prop solver time     : 0.000
% 0.89/0.97  % Current number of processed clauses  : 1366
% 0.89/0.97  %    Positive orientable unit clauses  : 355
% 0.89/0.97  %    Positive unorientable unit clauses: 0
% 0.89/0.97  %    Negative unit clauses             : 7
% 0.89/0.97  %    Non-unit-clauses                  : 1004
% 0.89/0.97  % Current number of unprocessed clauses: 1207
% 0.89/0.97  % ...number of literals in the above   : 5584
% 0.89/0.97  % Current number of archived formulas  : 0
% 0.89/0.97  % Current number of archived clauses   : 93
% 0.89/0.97  % Clause-clause subsumption calls (NU) : 328899
% 0.89/0.97  % Rec. Clause-clause subsumption calls : 261071
% 0.89/0.97  % Non-unit clause-clause subsumptions  : 224
% 0.89/0.97  % Unit Clause-clause subsumption calls : 2906
% 0.89/0.97  % Rewrite failures with RHS unbound    : 0
% 0.89/0.97  % BW rewrite match attempts            : 0
% 0.89/0.97  % BW rewrite match successes           : 0
% 0.89/0.97  % Condensation attempts                : 0
% 0.89/0.97  % Condensation successes               : 0
% 0.89/0.97  % Termbank termtop insertions          : 105307
% 0.89/0.97  % Search garbage collected termcells   : 40634
% 0.89/0.97  
% 0.89/0.97  % -------------------------------------------------
% 0.89/0.97  % User time                : 0.241 s
% 0.89/0.97  % System time              : 0.126 s
% 0.89/0.97  % Total time               : 0.368 s
% 0.89/0.97  % Maximum resident set size: 50312 pages
% 0.89/0.97  
% 0.89/0.97  % -------------------------------------------------
% 0.89/0.97  % User time                : 0.339 s
% 0.89/0.97  % System time              : 0.156 s
% 0.89/0.97  % Total time               : 0.494 s
% 0.89/0.97  % Maximum resident set size: 14080 pages
% 0.89/0.97  % E exiting
%------------------------------------------------------------------------------