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CSE_E---1.7.SAT-Sat.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : KRS020+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 04:36:10 PM UTC 2026

% Result   : Satisfiable 1.25s 1.74s
% Output   : Saturation 1.25s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
    ! [X1] :
      ( cowlThing(X1)
      & ~ cowlNothing(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

fof(axiom_6,axiom,
    ! [X1] :
      ( cNothing(X1)
     => ? [X3] : rp(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

fof(axiom_5,axiom,
    ! [X1] :
      ( cNothing(X1)
     => ~ ? [X2] : rp(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(axiom_4,axiom,
    ! [X1] :
      ( cB(X1)
    <=> ? [X2] :
          ( rr(X1,X2)
          & cowlThing(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(axiom_3,axiom,
    ! [X1] :
      ( cAorB(X1)
    <=> ? [X2] :
          ( rs(X1,X2)
          & cowlThing(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(axiom_10,axiom,
    ! [X1] :
      ( cnotB(X1)
    <=> ! [X2] :
          ( rr(X1,X2)
         => cNothing(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).

fof(axiom_2,axiom,
    ! [X1] :
      ( cA(X1)
    <=> ? [X2] :
          ( rq(X1,X2)
          & cowlThing(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(axiom_8,axiom,
    ! [X1] :
      ( cnotAorB(X1)
    <=> ! [X2] :
          ( rs(X1,X2)
         => cNothing(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

fof(axiom_7,axiom,
    ! [X1] :
      ( cnotA(X1)
    <=> ! [X2] :
          ( rq(X1,X2)
         => cNothing(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

fof(axiom_1,axiom,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(axiom_9,axiom,
    ! [X1] :
      ( cnotAorB(X1)
    <=> ( cnotB(X1)
        & cnotA(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

fof(c_0_11,plain,
    ! [X1] :
      ( cowlThing(X1)
      & ~ cowlNothing(X1) ),
    inference(fof_simplification,[status(thm)],[axiom_0]) ).

fof(c_0_12,plain,
    ! [X39] :
      ( ~ cNothing(X39)
      | rp(X39,esk4_1(X39)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])])]) ).

fof(c_0_13,plain,
    ! [X37,X38] :
      ( ~ cNothing(X37)
      | ~ rp(X37,X38) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])]) ).

fof(c_0_14,plain,
    ! [X33,X35,X36] :
      ( ( rr(X33,esk3_1(X33))
        | ~ cB(X33) )
      & ( cowlThing(esk3_1(X33))
        | ~ cB(X33) )
      & ( ~ rr(X35,X36)
        | ~ cowlThing(X36)
        | cB(X35) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])])])])])]) ).

fof(c_0_15,plain,
    ! [X23] :
      ( cowlThing(X23)
      & ~ cowlNothing(X23) ),
    inference(variable_rename,[status(thm)],[c_0_11]) ).

fof(c_0_16,plain,
    ! [X29,X31,X32] :
      ( ( rs(X29,esk2_1(X29))
        | ~ cAorB(X29) )
      & ( cowlThing(esk2_1(X29))
        | ~ cAorB(X29) )
      & ( ~ rs(X31,X32)
        | ~ cowlThing(X32)
        | cAorB(X31) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])])])])]) ).

fof(c_0_17,plain,
    ! [X50,X51,X52] :
      ( ( ~ cnotB(X50)
        | ~ rr(X50,X51)
        | cNothing(X51) )
      & ( rr(X52,esk7_1(X52))
        | cnotB(X52) )
      & ( ~ cNothing(esk7_1(X52))
        | cnotB(X52) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_10])])])])])]) ).

cnf(c_0_18,plain,
    ( rp(X1,esk4_1(X1))
    | ~ cNothing(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,plain,
    ( ~ cNothing(X1)
    | ~ rp(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_20,plain,
    ! [X25,X27,X28] :
      ( ( rq(X25,esk1_1(X25))
        | ~ cA(X25) )
      & ( cowlThing(esk1_1(X25))
        | ~ cA(X25) )
      & ( ~ rq(X27,X28)
        | ~ cowlThing(X28)
        | cA(X27) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])])])])]) ).

fof(c_0_21,plain,
    ! [X45,X46,X47] :
      ( ( ~ cnotAorB(X45)
        | ~ rs(X45,X46)
        | cNothing(X46) )
      & ( rs(X47,esk6_1(X47))
        | cnotAorB(X47) )
      & ( ~ cNothing(esk6_1(X47))
        | cnotAorB(X47) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_8])])])])])]) ).

fof(c_0_22,plain,
    ! [X41,X42,X43] :
      ( ( ~ cnotA(X41)
        | ~ rq(X41,X42)
        | cNothing(X42) )
      & ( rq(X43,esk5_1(X43))
        | cnotA(X43) )
      & ( ~ cNothing(esk5_1(X43))
        | cnotA(X43) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])])])])])]) ).

cnf(c_0_23,plain,
    ( cB(X1)
    | ~ rr(X1,X2)
    | ~ cowlThing(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_24,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_25,plain,
    ( cAorB(X1)
    | ~ rs(X1,X2)
    | ~ cowlThing(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_26,plain,
    ( cNothing(X2)
    | ~ cnotB(X1)
    | ~ rr(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_27,plain,
    ~ cNothing(X1),
    inference(csr,[status(thm)],[c_0_18,c_0_19]),
    [final] ).

cnf(c_0_28,plain,
    ( cA(X1)
    | ~ rq(X1,X2)
    | ~ cowlThing(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_29,plain,
    ( cNothing(X2)
    | ~ cnotAorB(X1)
    | ~ rs(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_30,plain,
    ( cNothing(X2)
    | ~ cnotA(X1)
    | ~ rq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_31,plain,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    inference(fof_simplification,[status(thm)],[axiom_1]) ).

cnf(c_0_32,plain,
    ( cB(X1)
    | ~ rr(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]),
    [final] ).

cnf(c_0_33,plain,
    ( rr(X1,esk7_1(X1))
    | cnotB(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]),
    [final] ).

cnf(c_0_34,plain,
    ( cAorB(X1)
    | ~ rs(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_24])]),
    [final] ).

cnf(c_0_35,plain,
    ( rs(X1,esk6_1(X1))
    | cnotAorB(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]),
    [final] ).

cnf(c_0_36,plain,
    ( ~ cnotB(X1)
    | ~ rr(X1,X2) ),
    inference(sr,[status(thm)],[c_0_26,c_0_27]),
    [final] ).

cnf(c_0_37,plain,
    ( rr(X1,esk3_1(X1))
    | ~ cB(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]),
    [final] ).

cnf(c_0_38,plain,
    ( cA(X1)
    | ~ rq(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_24])]),
    [final] ).

cnf(c_0_39,plain,
    ( rq(X1,esk5_1(X1))
    | cnotA(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]),
    [final] ).

cnf(c_0_40,plain,
    ( ~ cnotAorB(X1)
    | ~ rs(X1,X2) ),
    inference(sr,[status(thm)],[c_0_29,c_0_27]),
    [final] ).

cnf(c_0_41,plain,
    ( rs(X1,esk2_1(X1))
    | ~ cAorB(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]),
    [final] ).

cnf(c_0_42,plain,
    ( ~ cnotA(X1)
    | ~ rq(X1,X2) ),
    inference(sr,[status(thm)],[c_0_30,c_0_27]),
    [final] ).

cnf(c_0_43,plain,
    ( rq(X1,esk1_1(X1))
    | ~ cA(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]),
    [final] ).

fof(c_0_44,plain,
    ! [X24] :
      ( ( ~ xsd_string(X24)
        | ~ xsd_integer(X24) )
      & ( xsd_integer(X24)
        | xsd_string(X24) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])]) ).

fof(c_0_45,plain,
    ! [X49] :
      ( ( cnotB(X49)
        | ~ cnotAorB(X49) )
      & ( cnotA(X49)
        | ~ cnotAorB(X49) )
      & ( ~ cnotB(X49)
        | ~ cnotA(X49)
        | cnotAorB(X49) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_9])])]) ).

cnf(c_0_46,plain,
    ( cnotB(X1)
    | cB(X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]),
    [final] ).

cnf(c_0_47,plain,
    ( cnotAorB(X1)
    | cAorB(X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]),
    [final] ).

cnf(c_0_48,plain,
    ( ~ cnotB(X1)
    | ~ cB(X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]),
    [final] ).

cnf(c_0_49,plain,
    ( cnotA(X1)
    | cA(X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]),
    [final] ).

cnf(c_0_50,plain,
    ( ~ cnotAorB(X1)
    | ~ cAorB(X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]),
    [final] ).

cnf(c_0_51,plain,
    ( ~ cnotA(X1)
    | ~ cA(X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]),
    [final] ).

cnf(c_0_52,plain,
    ( xsd_integer(X1)
    | xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]),
    [final] ).

cnf(c_0_53,plain,
    ( cnotAorB(X1)
    | ~ cnotB(X1)
    | ~ cnotA(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]),
    [final] ).

cnf(c_0_54,plain,
    ( cnotB(X1)
    | ~ cnotAorB(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]),
    [final] ).

cnf(c_0_55,plain,
    ( cnotA(X1)
    | ~ cnotAorB(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]),
    [final] ).

cnf(c_0_56,plain,
    ( ~ xsd_string(X1)
    | ~ xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]),
    [final] ).

cnf(c_0_57,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[c_0_15]),
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : KRS020+1 : TPTP v9.2.1. Released v3.1.0.
% 0.11/0.13  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.35  % Computer : n003.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit   : 300
% 0.17/0.35  % WCLimit    : 300
% 0.17/0.35  % DateTime   : Mon May  4 20:34:41 EDT 2026
% 0.17/0.35  % CPUTime    : 
% 0.17/0.36  % start to proof: theBenchmark
% 1.25/1.74  % Version  : CSE_E---1.7
% 1.25/1.74  % Problem  : theBenchmark.p
% 1.25/1.74  % SZS status Satisfiable for theBenchmark.p
% 1.25/1.74  % SZS output start Saturation
% See solution above
% 1.25/1.74  % Total time : 1.375s
%------------------------------------------------------------------------------