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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : CSR113+28 : 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 : n015.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 1.35s 0.80s
% Output   : CNFRefutation 1.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   24 (   6 unt;   0 def)
%            Number of atoms       :  229 (   0 equ)
%            Maximal formula atoms :  148 (   9 avg)
%            Number of connectives :  249 (  44   ~;  38   |; 165   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  148 (  11 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   27 (  26 usr;   1 prp; 0-3 aty)
%            Number of functors    :   52 (  52 usr;  51 con; 0-2 aty)
%            Number of variables   :   50 (   3 sgn  13   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(synth_qa07_003_qapn_31_a19713,conjecture,
    ? [X1,X2,X3,X4,X5] :
      ( val(X2,new_york_0)
      & subs(X4,stehen_1_1)
      & sub(X5,freiheitsstatue_1_1)
      & sub(X2,name_1_1)
      & scar(X4,X5)
      & loc(X4,X1)
      & flp(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',synth_qa07_003_qapn_31_a19713) ).

fof(ave07_era5_synth_qa07_003_qapn_31_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(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)
    & sort(klein_1_1,mq)
    & 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(c55,varia_c)
    & refer(c55,indet)
    & quant(c55,one)
    & gener(c55,sp)
    & fact(c55,real)
    & etype(c55,int0)
    & card(c55,int1)
    & sort(c55,na)
    & varia(c54,con)
    & refer(c54,det)
    & quant(c54,one)
    & gener(c54,sp)
    & fact(c54,real)
    & etype(c54,int0)
    & card(c54,int1)
    & sort(c54,io)
    & sort(c54,d)
    & varia(bootshafen_1_1,varia_c)
    & refer(bootshafen_1_1,refer_c)
    & quant(bootshafen_1_1,one)
    & gener(bootshafen_1_1,ge)
    & fact(bootshafen_1_1,real)
    & etype(bootshafen_1_1,int0)
    & card(bootshafen_1_1,int1)
    & sort(bootshafen_1_1,d)
    & varia(c49,con)
    & refer(c49,det)
    & quant(c49,one)
    & gener(c49,sp)
    & fact(c49,real)
    & etype(c49,int0)
    & card(c49,int1)
    & sort(c49,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(c58,con)
    & refer(c58,det)
    & quant(c58,one)
    & gener(c58,sp)
    & fact(c58,real)
    & etype(c58,int0)
    & card(c58,int1)
    & sort(c58,l)
    & varia(c44,con)
    & refer(c44,det)
    & quant(c44,one)
    & gener(c44,sp)
    & fact(c44,real)
    & etype(c44,int0)
    & card(c44,int1)
    & sort(c44,d)
    & varia(figur_1_1,varia_c)
    & refer(figur_1_1,refer_c)
    & quant(figur_1_1,one)
    & gener(figur_1_1,ge)
    & fact(figur_1_1,real)
    & etype(figur_1_1,int0)
    & card(figur_1_1,int1)
    & sort(figur_1_1,d)
    & gener(meter_1_1,ge)
    & sort(meter_1_1,me)
    & card(c25,int5)
    & sort(c25,nu)
    & gener(prop_0,gener_c)
    & fact(prop_0,real)
    & sort(prop_0,st)
    & varia(c39,con)
    & refer(c39,refer_c)
    & quant(c39,quant_c)
    & gener(c39,gener_c)
    & fact(c39,real)
    & etype(c39,etype_c)
    & card(c39,card_c)
    & sort(c39,m)
    & sort(c39,co)
    & sort(c56,tq)
    & varia(c4,con)
    & refer(c4,det)
    & quant(c4,one)
    & gener(c4,sp)
    & fact(c4,real)
    & etype(c4,int0)
    & card(c4,int1)
    & sort(c4,d)
    & gener(c23,sp)
    & fact(c23,real)
    & sort(c23,st)
    & sub(freiheitsstatue_1_1,statue_1_1)
    & assoc(freiheitsstatue_1_1,freiheit_1_1)
    & in(c58,c49)
    & comp(c56,klein_1_1,c44)
    & val(c55,new_york_0)
    & sub(c55,name_1_1)
    & sub(c54,stadt__1_1)
    & attr(c54,c55)
    & attch(c54,c49)
    & sub(c49,bootshafen_1_1)
    & sub(c44,freiheitsstatue_1_1)
    & loc(c44,c58)
    & sub(c4,figur_1_1)
    & prop(c4,c56)
    & quant_p3(c39,c25,meter_1_1)
    & subr(c23,prop_0)
    & assoc(c23,c39)
    & arg2(c23,c56)
    & arg1(c23,c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ave07_era5_synth_qa07_003_qapn_31_a19713) ).

fof(local_function___flp,axiom,
    ! [X1,X2] :
      ( ( bei(X1,X2)
        | an(X1,X2)
        | in(X1,X2) )
     => flp(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR004+0.ax',local_function___flp) ).

fof(loc__stehen_1_1_loc,axiom,
    ! [X1,X2] :
      ( loc(X1,X2)
     => ? [X3] :
          ( subs(X3,stehen_1_1)
          & scar(X3,X1)
          & loc(X3,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR004+0.ax',loc__stehen_1_1_loc) ).

fof(c_0_4,negated_conjecture,
    ~ ? [X1,X2,X3,X4,X5] :
        ( val(X2,new_york_0)
        & subs(X4,stehen_1_1)
        & sub(X5,freiheitsstatue_1_1)
        & sub(X2,name_1_1)
        & scar(X4,X5)
        & loc(X4,X1)
        & flp(X1,X3) ),
    inference(assume_negation,[status(cth)],[synth_qa07_003_qapn_31_a19713]) ).

fof(c_0_5,negated_conjecture,
    ! [X8,X9,X10,X11,X12] :
      ( ~ val(X9,new_york_0)
      | ~ subs(X11,stehen_1_1)
      | ~ sub(X12,freiheitsstatue_1_1)
      | ~ sub(X9,name_1_1)
      | ~ scar(X11,X12)
      | ~ loc(X11,X8)
      | ~ flp(X8,X10) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

cnf(c_0_6,negated_conjecture,
    ( ~ val(X5,new_york_0)
    | ~ subs(X3,stehen_1_1)
    | ~ sub(X4,freiheitsstatue_1_1)
    | ~ sub(X5,name_1_1)
    | ~ scar(X3,X4)
    | ~ loc(X3,X1)
    | ~ flp(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_7,hypothesis,
    val(c55,new_york_0),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_qapn_31_a19713]) ).

cnf(c_0_8,hypothesis,
    sub(c55,name_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_qapn_31_a19713]) ).

fof(c_0_9,plain,
    ! [X42,X43] :
      ( ( flp(X42,X43)
        | ~ bei(X42,X43) )
      & ( flp(X42,X43)
        | ~ an(X42,X43) )
      & ( flp(X42,X43)
        | ~ in(X42,X43) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[local_function___flp])])])]) ).

cnf(c_0_10,hypothesis,
    ( ~ sub(X4,freiheitsstatue_1_1)
    | ~ subs(X3,stehen_1_1)
    | ~ loc(X3,X1)
    | ~ scar(X3,X4)
    | ~ flp(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]) ).

cnf(c_0_11,plain,
    ( ~ in(X1,X2)
    | flp(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_12,hypothesis,
    ( ~ sub(X4,freiheitsstatue_1_1)
    | ~ subs(X3,stehen_1_1)
    | ~ loc(X3,X1)
    | ~ scar(X3,X4)
    | ~ in(X1,X2) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_13,hypothesis,
    in(c58,c49),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_qapn_31_a19713]) ).

fof(c_0_14,plain,
    ! [X24,X25] :
      ( ( ~ loc(X24,X25)
        | subs(esk3_2(X24,X25),stehen_1_1) )
      & ( ~ loc(X24,X25)
        | scar(esk3_2(X24,X25),X24) )
      & ( ~ loc(X24,X25)
        | loc(esk3_2(X24,X25),X25) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[loc__stehen_1_1_loc])])])])]) ).

cnf(c_0_15,hypothesis,
    ( ~ sub(X2,freiheitsstatue_1_1)
    | ~ subs(X1,stehen_1_1)
    | ~ loc(X1,c58)
    | ~ scar(X1,X2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,plain,
    ( ~ loc(X1,X2)
    | scar(esk3_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_17,plain,
    ( ~ loc(X1,X2)
    | subs(esk3_2(X1,X2),stehen_1_1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_18,hypothesis,
    ( ~ sub(X1,freiheitsstatue_1_1)
    | ~ loc(X1,X2)
    | ~ loc(esk3_2(X1,X2),c58) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).

cnf(c_0_19,plain,
    ( ~ loc(X1,X2)
    | loc(esk3_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,hypothesis,
    ( ~ sub(X1,freiheitsstatue_1_1)
    | ~ loc(X1,c58) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_21,hypothesis,
    loc(c44,c58),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_qapn_31_a19713]) ).

cnf(c_0_22,hypothesis,
    sub(c44,freiheitsstatue_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_qapn_31_a19713]) ).

cnf(c_0_23,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR113+28 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n015.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 21 15:06:52 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41  Running first-order theorem proving
% 0.15/0.41  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
% 1.35/0.80  % Version: 3.5.1
% 1.35/0.80  % Preprocessing class: FMLLSMSLSSSNFFN.
% 1.35/0.80  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.35/0.80  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 1.35/0.80  % Starting new_bool_3 with 300s (1) cores
% 1.35/0.80  % Starting new_bool_1 with 300s (1) cores
% 1.35/0.80  % Starting sh5l with 300s (1) cores
% 1.35/0.80  % new_bool_1 with pid 1741305 completed with status 0
% 1.35/0.80  % Result found by new_bool_1
% 1.35/0.80  % Preprocessing class: FMLLSMSLSSSNFFN.
% 1.35/0.80  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.35/0.80  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 1.35/0.80  % Starting new_bool_3 with 300s (1) cores
% 1.35/0.80  % Starting new_bool_1 with 300s (1) cores
% 1.35/0.80  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.35/0.80  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.35/0.80  % Search class: FHHNF-FSMM32-SFFFFFNN
% 1.35/0.80  % partial match(2): FGHNF-FFMM32-SFFFFFNN
% 1.35/0.80  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.35/0.80  % Starting SubtermCWHack with 31s (1) cores
% 1.35/0.80  % SubtermCWHack with pid 1741314 completed with status 0
% 1.35/0.80  % Result found by SubtermCWHack
% 1.35/0.80  % Preprocessing class: FMLLSMSLSSSNFFN.
% 1.35/0.80  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.35/0.80  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 1.35/0.80  % Starting new_bool_3 with 300s (1) cores
% 1.35/0.80  % Starting new_bool_1 with 300s (1) cores
% 1.35/0.80  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.35/0.80  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.35/0.80  % Search class: FHHNF-FSMM32-SFFFFFNN
% 1.35/0.80  % partial match(2): FGHNF-FFMM32-SFFFFFNN
% 1.35/0.80  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.35/0.80  % Starting SubtermCWHack with 31s (1) cores
% 1.35/0.80  % Preprocessing time       : 0.015 s
% 1.35/0.80  
% 1.35/0.80  % Proof found!
% 1.35/0.80  % SZS status Theorem
% 1.35/0.80  % SZS output start CNFRefutation
% See solution above
% 1.35/0.80  % Parsed axioms                        : 10189
% 1.35/0.80  % Removed by relevancy pruning/SinE    : 10112
% 1.35/0.80  % Initial clauses                      : 253
% 1.35/0.80  % Removed in clause preprocessing      : 0
% 1.35/0.80  % Initial clauses in saturation        : 253
% 1.35/0.80  % Processed clauses                    : 453
% 1.35/0.80  % ...of these trivial                  : 2
% 1.35/0.80  % ...subsumed                          : 66
% 1.35/0.80  % ...remaining for further processing  : 385
% 1.35/0.80  % Other redundant clauses eliminated   : 0
% 1.35/0.80  % Clauses deleted for lack of memory   : 0
% 1.35/0.80  % Backward-subsumed                    : 1
% 1.35/0.80  % Backward-rewritten                   : 0
% 1.35/0.80  % Generated clauses                    : 314
% 1.35/0.80  % ...of the previous two non-redundant : 310
% 1.35/0.80  % ...aggressively subsumed             : 0
% 1.35/0.80  % Contextual simplify-reflections      : 2
% 1.35/0.80  % Paramodulations                      : 314
% 1.35/0.80  % Factorizations                       : 0
% 1.35/0.80  % NegExts                              : 0
% 1.35/0.80  % Equation resolutions                 : 0
% 1.35/0.80  % Disequality decompositions           : 0
% 1.35/0.80  % Total rewrite steps                  : 4
% 1.35/0.80  % ...of those cached                   : 0
% 1.35/0.80  % Propositional unsat checks           : 0
% 1.35/0.80  %    Propositional check models        : 0
% 1.35/0.80  %    Propositional check unsatisfiable : 0
% 1.35/0.80  %    Propositional clauses             : 0
% 1.35/0.80  %    Propositional clauses after purity: 0
% 1.35/0.80  %    Propositional unsat core size     : 0
% 1.35/0.80  %    Propositional preprocessing time  : 0.000
% 1.35/0.80  %    Propositional encoding time       : 0.000
% 1.35/0.80  %    Propositional solver time         : 0.000
% 1.35/0.80  %    Success case prop preproc time    : 0.000
% 1.35/0.80  %    Success case prop encoding time   : 0.000
% 1.35/0.80  %    Success case prop solver time     : 0.000
% 1.35/0.80  % Current number of processed clauses  : 384
% 1.35/0.80  %    Positive orientable unit clauses  : 224
% 1.35/0.80  %    Positive unorientable unit clauses: 0
% 1.35/0.80  %    Negative unit clauses             : 0
% 1.35/0.80  %    Non-unit-clauses                  : 160
% 1.35/0.80  % Current number of unprocessed clauses: 108
% 1.35/0.80  % ...number of literals in the above   : 541
% 1.35/0.80  % Current number of archived formulas  : 0
% 1.35/0.80  % Current number of archived clauses   : 1
% 1.35/0.80  % Clause-clause subsumption calls (NU) : 11452
% 1.35/0.80  % Rec. Clause-clause subsumption calls : 6637
% 1.35/0.80  % Non-unit clause-clause subsumptions  : 69
% 1.35/0.80  % Unit Clause-clause subsumption calls : 24
% 1.35/0.80  % Rewrite failures with RHS unbound    : 0
% 1.35/0.80  % BW rewrite match attempts            : 0
% 1.35/0.80  % BW rewrite match successes           : 0
% 1.35/0.80  % Condensation attempts                : 0
% 1.35/0.80  % Condensation successes               : 0
% 1.35/0.80  % Termbank termtop insertions          : 56436
% 1.35/0.80  % Search garbage collected termcells   : 39142
% 1.35/0.80  
% 1.35/0.80  % -------------------------------------------------
% 1.35/0.80  % User time                : 0.080 s
% 1.35/0.80  % System time              : 0.091 s
% 1.35/0.80  % Total time               : 0.172 s
% 1.35/0.80  % Maximum resident set size: 44976 pages
% 1.35/0.80  
% 1.35/0.80  % -------------------------------------------------
% 1.35/0.80  % User time                : 0.175 s
% 1.35/0.80  % System time              : 0.122 s
% 1.35/0.80  % Total time               : 0.296 s
% 1.35/0.80  % Maximum resident set size: 14080 pages
% 1.35/0.80  % E exiting
%------------------------------------------------------------------------------