TSTP Solution File: SWC327-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWC327-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n011.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 : Thu Aug 31 20:21:41 EDT 2023

% Result   : Unsatisfiable 0.21s 0.60s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   98
% Syntax   : Number of formulae    :  151 (  25 unt;  76 typ;   0 def)
%            Number of atoms       :  212 ( 109 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  259 ( 122   ~; 137   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   85 (  68   >;  17   *;   0   +;   0  <<)
%            Number of predicates  :   21 (  19 usr;   1 prp; 0-2 aty)
%            Number of functors    :   57 (  57 usr;   8 con; 0-2 aty)
%            Number of variables   :   52 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    nil: $i ).

tff(decl_23,type,
    equalelemsP: $i > $o ).

tff(decl_24,type,
    duplicatefreeP: $i > $o ).

tff(decl_25,type,
    strictorderedP: $i > $o ).

tff(decl_26,type,
    totalorderedP: $i > $o ).

tff(decl_27,type,
    strictorderP: $i > $o ).

tff(decl_28,type,
    totalorderP: $i > $o ).

tff(decl_29,type,
    cyclefreeP: $i > $o ).

tff(decl_30,type,
    ssList: $i > $o ).

tff(decl_31,type,
    skac3: $i ).

tff(decl_32,type,
    ssItem: $i > $o ).

tff(decl_33,type,
    skac2: $i ).

tff(decl_34,type,
    singletonP: $i > $o ).

tff(decl_35,type,
    skaf83: $i > $i ).

tff(decl_36,type,
    skaf82: $i > $i ).

tff(decl_37,type,
    skaf81: $i > $i ).

tff(decl_38,type,
    skaf80: $i > $i ).

tff(decl_39,type,
    skaf79: $i > $i ).

tff(decl_40,type,
    skaf78: $i > $i ).

tff(decl_41,type,
    skaf77: $i > $i ).

tff(decl_42,type,
    skaf76: $i > $i ).

tff(decl_43,type,
    skaf75: $i > $i ).

tff(decl_44,type,
    skaf74: $i > $i ).

tff(decl_45,type,
    skaf73: $i > $i ).

tff(decl_46,type,
    skaf72: $i > $i ).

tff(decl_47,type,
    skaf71: $i > $i ).

tff(decl_48,type,
    skaf70: $i > $i ).

tff(decl_49,type,
    skaf69: $i > $i ).

tff(decl_50,type,
    skaf68: $i > $i ).

tff(decl_51,type,
    skaf67: $i > $i ).

tff(decl_52,type,
    skaf66: $i > $i ).

tff(decl_53,type,
    skaf65: $i > $i ).

tff(decl_54,type,
    skaf64: $i > $i ).

tff(decl_55,type,
    skaf63: $i > $i ).

tff(decl_56,type,
    skaf62: $i > $i ).

tff(decl_57,type,
    skaf61: $i > $i ).

tff(decl_58,type,
    skaf60: $i > $i ).

tff(decl_59,type,
    skaf59: $i > $i ).

tff(decl_60,type,
    skaf58: $i > $i ).

tff(decl_61,type,
    skaf57: $i > $i ).

tff(decl_62,type,
    skaf56: $i > $i ).

tff(decl_63,type,
    skaf55: $i > $i ).

tff(decl_64,type,
    skaf54: $i > $i ).

tff(decl_65,type,
    skaf53: $i > $i ).

tff(decl_66,type,
    skaf52: $i > $i ).

tff(decl_67,type,
    skaf51: $i > $i ).

tff(decl_68,type,
    skaf50: $i > $i ).

tff(decl_69,type,
    skaf49: $i > $i ).

tff(decl_70,type,
    skaf44: $i > $i ).

tff(decl_71,type,
    skaf48: ( $i * $i ) > $i ).

tff(decl_72,type,
    skaf47: ( $i * $i ) > $i ).

tff(decl_73,type,
    skaf46: ( $i * $i ) > $i ).

tff(decl_74,type,
    skaf45: ( $i * $i ) > $i ).

tff(decl_75,type,
    skaf43: ( $i * $i ) > $i ).

tff(decl_76,type,
    skaf42: ( $i * $i ) > $i ).

tff(decl_77,type,
    geq: ( $i * $i ) > $o ).

tff(decl_78,type,
    segmentP: ( $i * $i ) > $o ).

tff(decl_79,type,
    rearsegP: ( $i * $i ) > $o ).

tff(decl_80,type,
    frontsegP: ( $i * $i ) > $o ).

tff(decl_81,type,
    leq: ( $i * $i ) > $o ).

tff(decl_82,type,
    lt: ( $i * $i ) > $o ).

tff(decl_83,type,
    cons: ( $i * $i ) > $i ).

tff(decl_84,type,
    memberP: ( $i * $i ) > $o ).

tff(decl_85,type,
    app: ( $i * $i ) > $i ).

tff(decl_86,type,
    tl: $i > $i ).

tff(decl_87,type,
    hd: $i > $i ).

tff(decl_88,type,
    neq: ( $i * $i ) > $o ).

tff(decl_89,type,
    gt: ( $i * $i ) > $o ).

tff(decl_90,type,
    sk1: $i ).

tff(decl_91,type,
    sk2: $i ).

tff(decl_92,type,
    sk3: $i ).

tff(decl_93,type,
    sk4: $i ).

tff(decl_94,type,
    sk5: $i ).

tff(decl_95,type,
    sk6: $i > $i ).

tff(decl_96,type,
    sk7: $i > $i ).

tff(decl_97,type,
    sk8: $i > $i ).

cnf(co1_9,negated_conjecture,
    equalelemsP(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

cnf(co1_17,negated_conjecture,
    ( app(sk8(X1),cons(sk6(X1),nil)) = sk1
    | nil = sk1
    | ~ ssList(X1)
    | app(sk1,X1) != sk2
    | ~ equalelemsP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).

cnf(co1_8,negated_conjecture,
    app(sk3,sk5) = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

cnf(co1_16,negated_conjecture,
    ( ssList(sk8(X1))
    | nil = sk1
    | ~ ssList(X1)
    | app(sk1,X1) != sk2
    | ~ equalelemsP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

cnf(co1_12,negated_conjecture,
    ( ssItem(sk6(X1))
    | nil = sk1
    | ~ ssList(X1)
    | app(sk1,X1) != sk2
    | ~ equalelemsP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

cnf(co1_10,negated_conjecture,
    ( ~ ssItem(X1)
    | ~ ssList(X2)
    | app(cons(X1,nil),X2) != sk5
    | ~ ssList(X3)
    | app(X3,cons(X1,nil)) != sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(co1_7,negated_conjecture,
    ssList(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(co1_15,negated_conjecture,
    ( app(cons(sk6(X1),nil),sk7(X1)) = X1
    | nil = sk1
    | ~ ssList(X1)
    | app(sk1,X1) != sk2
    | ~ equalelemsP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

cnf(co1_14,negated_conjecture,
    ( ssList(sk7(X1))
    | nil = sk1
    | ~ ssList(X1)
    | app(sk1,X1) != sk2
    | ~ equalelemsP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

cnf(co1_19,negated_conjecture,
    ( app(cons(sk6(X1),nil),sk7(X1)) = X1
    | ~ ssList(X1)
    | app(sk1,X1) != sk2
    | ~ equalelemsP(sk1)
    | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).

cnf(co1_11,negated_conjecture,
    ( nil = sk4
    | nil != sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

cnf(co1_18,negated_conjecture,
    ( ssList(sk7(X1))
    | ~ ssList(X1)
    | app(sk1,X1) != sk2
    | ~ equalelemsP(sk1)
    | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).

cnf(clause73,axiom,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).

cnf(co1_13,negated_conjecture,
    ( ssItem(sk6(X1))
    | ~ ssList(X1)
    | app(sk1,X1) != sk2
    | ~ equalelemsP(sk1)
    | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

cnf(clause119,axiom,
    ( nil = X2
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause119) ).

cnf(clause86,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).

cnf(clause120,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause120) ).

cnf(clause99,axiom,
    ( cons(X1,X2) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause99) ).

cnf(c_0_22,negated_conjecture,
    equalelemsP(sk3),
    co1_9 ).

cnf(c_0_23,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_24,negated_conjecture,
    ( app(sk8(X1),cons(sk6(X1),nil)) = sk1
    | nil = sk1
    | ~ ssList(X1)
    | app(sk1,X1) != sk2
    | ~ equalelemsP(sk1) ),
    co1_17 ).

cnf(c_0_25,negated_conjecture,
    equalelemsP(sk1),
    inference(rw,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_26,negated_conjecture,
    app(sk3,sk5) = sk4,
    co1_8 ).

cnf(c_0_27,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_28,negated_conjecture,
    ( ssList(sk8(X1))
    | nil = sk1
    | ~ ssList(X1)
    | app(sk1,X1) != sk2
    | ~ equalelemsP(sk1) ),
    co1_16 ).

cnf(c_0_29,negated_conjecture,
    ( ssItem(sk6(X1))
    | nil = sk1
    | ~ ssList(X1)
    | app(sk1,X1) != sk2
    | ~ equalelemsP(sk1) ),
    co1_12 ).

cnf(c_0_30,negated_conjecture,
    ( ~ ssItem(X1)
    | ~ ssList(X2)
    | app(cons(X1,nil),X2) != sk5
    | ~ ssList(X3)
    | app(X3,cons(X1,nil)) != sk3 ),
    co1_10 ).

cnf(c_0_31,negated_conjecture,
    ( app(sk8(X1),cons(sk6(X1),nil)) = sk1
    | sk1 = nil
    | app(sk1,X1) != sk2
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]) ).

cnf(c_0_32,negated_conjecture,
    app(sk1,sk5) = sk2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_23]),c_0_27]) ).

cnf(c_0_33,negated_conjecture,
    ssList(sk5),
    co1_7 ).

cnf(c_0_34,negated_conjecture,
    ( sk1 = nil
    | ssList(sk8(X1))
    | app(sk1,X1) != sk2
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_25])]) ).

cnf(c_0_35,negated_conjecture,
    ( sk1 = nil
    | ssItem(sk6(X1))
    | app(sk1,X1) != sk2
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_25])]) ).

cnf(c_0_36,negated_conjecture,
    ( app(cons(sk6(X1),nil),sk7(X1)) = X1
    | nil = sk1
    | ~ ssList(X1)
    | app(sk1,X1) != sk2
    | ~ equalelemsP(sk1) ),
    co1_15 ).

cnf(c_0_37,negated_conjecture,
    ( ssList(sk7(X1))
    | nil = sk1
    | ~ ssList(X1)
    | app(sk1,X1) != sk2
    | ~ equalelemsP(sk1) ),
    co1_14 ).

cnf(c_0_38,negated_conjecture,
    ( app(X1,cons(X2,nil)) != sk1
    | app(cons(X2,nil),X3) != sk5
    | ~ ssItem(X2)
    | ~ ssList(X1)
    | ~ ssList(X3) ),
    inference(rw,[status(thm)],[c_0_30,c_0_23]) ).

cnf(c_0_39,negated_conjecture,
    ( app(sk8(sk5),cons(sk6(sk5),nil)) = sk1
    | sk1 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).

cnf(c_0_40,negated_conjecture,
    ( sk1 = nil
    | ssList(sk8(sk5)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_32]),c_0_33])]) ).

cnf(c_0_41,negated_conjecture,
    ( sk1 = nil
    | ssItem(sk6(sk5)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_32]),c_0_33])]) ).

cnf(c_0_42,negated_conjecture,
    ( app(cons(sk6(X1),nil),sk7(X1)) = X1
    | sk1 = nil
    | app(sk1,X1) != sk2
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_25])]) ).

cnf(c_0_43,negated_conjecture,
    ( sk1 = nil
    | ssList(sk7(X1))
    | app(sk1,X1) != sk2
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_25])]) ).

cnf(c_0_44,negated_conjecture,
    ( app(cons(sk6(X1),nil),sk7(X1)) = X1
    | ~ ssList(X1)
    | app(sk1,X1) != sk2
    | ~ equalelemsP(sk1)
    | nil != sk2 ),
    co1_19 ).

cnf(c_0_45,negated_conjecture,
    ( nil = sk4
    | nil != sk3 ),
    co1_11 ).

cnf(c_0_46,negated_conjecture,
    ( sk1 = nil
    | app(cons(sk6(sk5),nil),X1) != sk5
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_41]) ).

cnf(c_0_47,negated_conjecture,
    ( app(cons(sk6(sk5),nil),sk7(sk5)) = sk5
    | sk1 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_32]),c_0_33])]) ).

cnf(c_0_48,negated_conjecture,
    ( sk1 = nil
    | ssList(sk7(sk5)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_32]),c_0_33])]) ).

cnf(c_0_49,negated_conjecture,
    ( ssList(sk7(X1))
    | ~ ssList(X1)
    | app(sk1,X1) != sk2
    | ~ equalelemsP(sk1)
    | nil != sk2 ),
    co1_18 ).

cnf(c_0_50,negated_conjecture,
    ( app(cons(sk6(X1),nil),sk7(X1)) = X1
    | app(sk1,X1) != sk2
    | sk2 != nil
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_25])]) ).

cnf(c_0_51,axiom,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    clause73 ).

cnf(c_0_52,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_53,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_54,negated_conjecture,
    ( sk2 = nil
    | sk1 != nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_27]),c_0_23]) ).

cnf(c_0_55,negated_conjecture,
    sk1 = nil,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).

cnf(c_0_56,negated_conjecture,
    ( ssList(sk7(X1))
    | app(sk1,X1) != sk2
    | sk2 != nil
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_25])]) ).

cnf(c_0_57,negated_conjecture,
    ( ssItem(sk6(X1))
    | ~ ssList(X1)
    | app(sk1,X1) != sk2
    | ~ equalelemsP(sk1)
    | nil != sk2 ),
    co1_13 ).

cnf(c_0_58,negated_conjecture,
    ( app(cons(sk6(nil),nil),sk7(nil)) = nil
    | sk2 != sk1
    | sk2 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]),c_0_53])]) ).

cnf(c_0_59,negated_conjecture,
    sk2 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55])]) ).

cnf(c_0_60,negated_conjecture,
    ( ssList(sk7(nil))
    | sk2 != sk1
    | sk2 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_51]),c_0_52]),c_0_53])]) ).

cnf(c_0_61,negated_conjecture,
    ( ssItem(sk6(X1))
    | app(sk1,X1) != sk2
    | sk2 != nil
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_25])]) ).

cnf(c_0_62,axiom,
    ( nil = X2
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause119 ).

cnf(c_0_63,negated_conjecture,
    app(cons(sk6(nil),nil),sk7(nil)) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_55])]),c_0_59])]) ).

cnf(c_0_64,negated_conjecture,
    ssList(sk7(nil)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_55])]),c_0_59])]) ).

cnf(c_0_65,negated_conjecture,
    ( ssItem(sk6(nil))
    | sk2 != sk1
    | sk2 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_51]),c_0_52]),c_0_53])]) ).

cnf(c_0_66,negated_conjecture,
    ( sk7(nil) = nil
    | ~ ssList(cons(sk6(nil),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64])]) ).

cnf(c_0_67,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause86 ).

cnf(c_0_68,negated_conjecture,
    ssItem(sk6(nil)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_55])]),c_0_59])]) ).

cnf(c_0_69,negated_conjecture,
    sk7(nil) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]),c_0_52])]) ).

cnf(c_0_70,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause120 ).

cnf(c_0_71,negated_conjecture,
    app(cons(sk6(nil),nil),nil) = nil,
    inference(rw,[status(thm)],[c_0_63,c_0_69]) ).

cnf(c_0_72,axiom,
    ( cons(X1,X2) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause99 ).

cnf(c_0_73,negated_conjecture,
    cons(sk6(nil),nil) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_68]),c_0_52])]) ).

cnf(c_0_74,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_68]),c_0_52])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SWC327-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 28 16:30:25 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.21/0.56  start to proof: theBenchmark
% 0.21/0.60  % Version  : CSE_E---1.5
% 0.21/0.60  % Problem  : theBenchmark.p
% 0.21/0.60  % Proof found
% 0.21/0.60  % SZS status Theorem for theBenchmark.p
% 0.21/0.60  % SZS output start Proof
% See solution above
% 0.21/0.61  % Total time : 0.024000 s
% 0.21/0.61  % SZS output end Proof
% 0.21/0.61  % Total time : 0.030000 s
%------------------------------------------------------------------------------