TSTP Solution File: SWC245-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWC245-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n004.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 21 04:24:52 EDT 2024

% Result   : Unsatisfiable 4.24s 1.03s
% Output   : CNFRefutation 4.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   30
% Syntax   : Number of clauses     :   99 (  32 unt;  13 nHn;  93 RR)
%            Number of literals    :  296 (  75 equ; 196 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-3 aty)
%            Number of variables   :  156 (  12 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause85,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).

cnf(clause157,axiom,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause157) ).

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

cnf(clause145,axiom,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause145) ).

cnf(clause173,axiom,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).

cnf(clause103,axiom,
    ( leq(X1,X2)
    | ~ lt(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause103) ).

cnf(co1_11,negated_conjecture,
    ( lt(X1,sk5(X3,X2,X1))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

cnf(co1_8,negated_conjecture,
    ( ssItem(sk5(X3,X2,X1))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(co1_12,negated_conjecture,
    ( ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk1
    | ~ leq(X1,sk5(X3,X2,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

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

cnf(clause74,axiom,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).

cnf(clause168,axiom,
    ( app(app(skaf47(X1,X2),X2),skaf48(X2,X1)) = X1
    | ~ segmentP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause168) ).

cnf(clause132,axiom,
    ( app(X2,skaf45(X1,X2)) = X1
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause132) ).

cnf(clause178,axiom,
    ( frontsegP(cons(X3,X1),cons(X4,X2))
    | ~ frontsegP(X1,X2)
    | X3 != X4
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssItem(X4)
    | ~ ssItem(X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause178) ).

cnf(clause123,axiom,
    ( nil = X2
    | hd(app(X2,X1)) = hd(X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause123) ).

cnf(co1_14,negated_conjecture,
    app(sk3,sk6) = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

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

cnf(co1_7,negated_conjecture,
    nil != sk1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(clause118,axiom,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause118) ).

cnf(clause48,axiom,
    ssList(skaf48(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause48) ).

cnf(clause49,axiom,
    ssList(skaf47(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause49) ).

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

cnf(clause51,axiom,
    ssList(skaf45(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).

cnf(clause104,axiom,
    ( cons(hd(X1),tl(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause104) ).

cnf(clause75,axiom,
    ( ssList(tl(X1))
    | nil = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause75) ).

cnf(clause76,axiom,
    ( ssItem(hd(X1))
    | nil = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause76) ).

cnf(co1_13,negated_conjecture,
    ssList(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

cnf(co1_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

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

cnf(clause60,axiom,
    ( frontsegP(X1,nil)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause60) ).

cnf(c_0_30,plain,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause85]) ).

cnf(c_0_31,plain,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(fof_simplification,[status(thm)],[clause157]) ).

cnf(c_0_32,plain,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause86]) ).

cnf(c_0_33,plain,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause145]) ).

cnf(c_0_34,plain,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    inference(fof_simplification,[status(thm)],[clause173]) ).

cnf(c_0_35,plain,
    ( leq(X1,X2)
    | ~ lt(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    inference(fof_simplification,[status(thm)],[clause103]) ).

cnf(c_0_36,negated_conjecture,
    ( lt(X1,sk5(X3,X2,X1))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk1 ),
    inference(fof_simplification,[status(thm)],[co1_11]) ).

cnf(c_0_37,negated_conjecture,
    ( ssItem(sk5(X3,X2,X1))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk1 ),
    inference(fof_simplification,[status(thm)],[co1_8]) ).

cnf(c_0_38,negated_conjecture,
    ( ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk1
    | ~ leq(X1,sk5(X3,X2,X1)) ),
    inference(fof_simplification,[status(thm)],[co1_12]) ).

cnf(c_0_39,plain,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    c_0_30 ).

cnf(c_0_40,plain,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    c_0_31 ).

cnf(c_0_41,plain,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    c_0_32 ).

cnf(c_0_42,plain,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    c_0_33 ).

cnf(c_0_43,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_44,plain,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    c_0_34 ).

cnf(c_0_45,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause74]) ).

cnf(c_0_46,plain,
    ( leq(X1,X2)
    | ~ lt(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    c_0_35 ).

cnf(c_0_47,negated_conjecture,
    ( lt(X1,sk5(X3,X2,X1))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk1 ),
    c_0_36 ).

cnf(c_0_48,negated_conjecture,
    ( ssItem(sk5(X3,X2,X1))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk1 ),
    c_0_37 ).

cnf(c_0_49,negated_conjecture,
    ( ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk1
    | ~ leq(X1,sk5(X3,X2,X1)) ),
    c_0_38 ).

cnf(c_0_50,plain,
    ( app(app(skaf47(X1,X2),X2),skaf48(X2,X1)) = X1
    | ~ segmentP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause168]) ).

cnf(c_0_51,plain,
    ( ssList(cons(X1,app(X2,X3)))
    | ~ ssItem(X1)
    | ~ ssList(X3)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).

cnf(c_0_52,plain,
    app(nil,nil) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_42])]),c_0_43])]) ).

cnf(c_0_53,plain,
    ( segmentP(app(app(X1,X2),X3),X2)
    | ~ ssList(app(app(X1,X2),X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_44]) ).

cnf(c_0_54,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    c_0_45 ).

cnf(c_0_55,plain,
    ( app(X2,skaf45(X1,X2)) = X1
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause132]) ).

cnf(c_0_56,plain,
    ( frontsegP(cons(X3,X1),cons(X4,X2))
    | ~ frontsegP(X1,X2)
    | X3 != X4
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssItem(X4)
    | ~ ssItem(X3) ),
    inference(fof_simplification,[status(thm)],[clause178]) ).

cnf(c_0_57,plain,
    ( nil = X2
    | hd(app(X2,X1)) = hd(X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause123]) ).

cnf(c_0_58,negated_conjecture,
    app(sk3,sk6) = sk4,
    co1_14 ).

cnf(c_0_59,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_60,negated_conjecture,
    nil != sk1,
    inference(fof_simplification,[status(thm)],[co1_7]) ).

cnf(c_0_61,plain,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause118]) ).

cnf(c_0_62,negated_conjecture,
    ( app(app(X1,cons(X2,nil)),X3) != sk1
    | ~ ssItem(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]),c_0_49]) ).

cnf(c_0_63,plain,
    ( app(app(skaf47(X1,X2),X2),skaf48(X2,X1)) = X1
    | ~ segmentP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    c_0_50 ).

cnf(c_0_64,axiom,
    ssList(skaf48(X1,X2)),
    clause48 ).

cnf(c_0_65,axiom,
    ssList(skaf47(X1,X2)),
    clause49 ).

cnf(c_0_66,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_67,plain,
    ( ssList(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_43])]) ).

cnf(c_0_68,plain,
    ( segmentP(app(X1,X2),X1)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_43])]),c_0_39]) ).

cnf(c_0_69,plain,
    ( app(X2,skaf45(X1,X2)) = X1
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    c_0_55 ).

cnf(c_0_70,axiom,
    ssList(skaf45(X1,X2)),
    clause51 ).

cnf(c_0_71,plain,
    ( frontsegP(cons(X3,X1),cons(X4,X2))
    | ~ frontsegP(X1,X2)
    | X3 != X4
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssItem(X4)
    | ~ ssItem(X3) ),
    c_0_56 ).

cnf(c_0_72,plain,
    ( cons(hd(X1),tl(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause104]) ).

cnf(c_0_73,plain,
    ( ssList(tl(X1))
    | nil = X1
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause75]) ).

cnf(c_0_74,plain,
    ( ssItem(hd(X1))
    | nil = X1
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause76]) ).

cnf(c_0_75,plain,
    ( nil = X2
    | hd(app(X2,X1)) = hd(X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    c_0_57 ).

cnf(c_0_76,negated_conjecture,
    app(sk1,sk6) = sk4,
    inference(rw,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_77,negated_conjecture,
    ssList(sk6),
    co1_13 ).

cnf(c_0_78,negated_conjecture,
    nil != sk1,
    c_0_60 ).

cnf(c_0_79,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_80,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_81,plain,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    c_0_61 ).

cnf(c_0_82,negated_conjecture,
    ( ~ segmentP(sk1,cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_65])])]),c_0_66])]),c_0_67]) ).

cnf(c_0_83,plain,
    ( segmentP(X1,X2)
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]) ).

cnf(c_0_84,plain,
    ( frontsegP(cons(X1,X2),cons(X1,X3))
    | ~ frontsegP(X2,X3)
    | ~ ssItem(X1)
    | ~ ssList(X3)
    | ~ ssList(X2) ),
    inference(er,[status(thm)],[c_0_71]) ).

cnf(c_0_85,plain,
    ( cons(hd(X1),tl(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    c_0_72 ).

cnf(c_0_86,plain,
    ( ssList(tl(X1))
    | nil = X1
    | ~ ssList(X1) ),
    c_0_73 ).

cnf(c_0_87,plain,
    ( ssItem(hd(X1))
    | nil = X1
    | ~ ssList(X1) ),
    c_0_74 ).

cnf(c_0_88,negated_conjecture,
    hd(sk4) = hd(sk1),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_66]),c_0_77])]),c_0_78]) ).

cnf(c_0_89,negated_conjecture,
    ssList(sk4),
    inference(rw,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_90,negated_conjecture,
    sk4 != nil,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_76]),c_0_77]),c_0_66])]),c_0_78]) ).

cnf(c_0_91,negated_conjecture,
    ( ~ frontsegP(sk1,cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_66])]),c_0_67]) ).

cnf(c_0_92,plain,
    ( nil = X1
    | frontsegP(X1,cons(hd(X1),X2))
    | ~ frontsegP(tl(X1),X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]),c_0_87]) ).

cnf(c_0_93,negated_conjecture,
    ssItem(hd(sk1)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89])]),c_0_90]) ).

cnf(c_0_94,plain,
    ( frontsegP(X1,nil)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause60]) ).

cnf(c_0_95,negated_conjecture,
    ~ frontsegP(tl(sk1),nil),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]),c_0_43]),c_0_66])]),c_0_78]) ).

cnf(c_0_96,plain,
    ( frontsegP(X1,nil)
    | ~ ssList(X1) ),
    c_0_94 ).

cnf(c_0_97,negated_conjecture,
    ~ ssList(tl(sk1)),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_98,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_86]),c_0_66])]),c_0_78]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWC245-1 : TPTP v8.2.0. Released v2.4.0.
% 0.13/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 03:23:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  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
% 4.24/1.03  # Version: 3.1.0
% 4.24/1.03  # Preprocessing class: FSLSSMSMSSSNFFN.
% 4.24/1.03  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.24/1.03  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 4.24/1.03  # Starting new_bool_3 with 300s (1) cores
% 4.24/1.03  # Starting new_bool_1 with 300s (1) cores
% 4.24/1.03  # Starting sh5l with 300s (1) cores
% 4.24/1.03  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 6669 completed with status 0
% 4.24/1.03  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 4.24/1.03  # Preprocessing class: FSLSSMSMSSSNFFN.
% 4.24/1.03  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.24/1.03  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 4.24/1.03  # No SInE strategy applied
% 4.24/1.03  # Search class: FGHSM-FSLM31-MFFFFFNN
% 4.24/1.03  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.24/1.03  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 4.24/1.03  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 4.24/1.03  # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 4.24/1.03  # Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 4.24/1.03  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 136s (1) cores
% 4.24/1.03  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 6676 completed with status 0
% 4.24/1.03  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 4.24/1.03  # Preprocessing class: FSLSSMSMSSSNFFN.
% 4.24/1.03  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.24/1.03  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 4.24/1.03  # No SInE strategy applied
% 4.24/1.03  # Search class: FGHSM-FSLM31-MFFFFFNN
% 4.24/1.03  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.24/1.03  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 4.24/1.03  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 4.24/1.03  # Preprocessing time       : 0.003 s
% 4.24/1.03  # Presaturation interreduction done
% 4.24/1.03  
% 4.24/1.03  # Proof found!
% 4.24/1.03  # SZS status Unsatisfiable
% 4.24/1.03  # SZS output start CNFRefutation
% See solution above
% 4.24/1.03  # Parsed axioms                        : 202
% 4.24/1.03  # Removed by relevancy pruning/SinE    : 0
% 4.24/1.03  # Initial clauses                      : 202
% 4.24/1.03  # Removed in clause preprocessing      : 0
% 4.24/1.03  # Initial clauses in saturation        : 202
% 4.24/1.03  # Processed clauses                    : 5368
% 4.24/1.03  # ...of these trivial                  : 80
% 4.24/1.03  # ...subsumed                          : 3604
% 4.24/1.03  # ...remaining for further processing  : 1684
% 4.24/1.03  # Other redundant clauses eliminated   : 296
% 4.24/1.03  # Clauses deleted for lack of memory   : 0
% 4.24/1.03  # Backward-subsumed                    : 109
% 4.24/1.03  # Backward-rewritten                   : 82
% 4.24/1.03  # Generated clauses                    : 30110
% 4.24/1.03  # ...of the previous two non-redundant : 27946
% 4.24/1.03  # ...aggressively subsumed             : 0
% 4.24/1.03  # Contextual simplify-reflections      : 271
% 4.24/1.03  # Paramodulations                      : 29810
% 4.24/1.03  # Factorizations                       : 0
% 4.24/1.03  # NegExts                              : 0
% 4.24/1.03  # Equation resolutions                 : 301
% 4.24/1.03  # Disequality decompositions           : 0
% 4.24/1.03  # Total rewrite steps                  : 25288
% 4.24/1.03  # ...of those cached                   : 24926
% 4.24/1.03  # Propositional unsat checks           : 0
% 4.24/1.03  #    Propositional check models        : 0
% 4.24/1.03  #    Propositional check unsatisfiable : 0
% 4.24/1.03  #    Propositional clauses             : 0
% 4.24/1.03  #    Propositional clauses after purity: 0
% 4.24/1.03  #    Propositional unsat core size     : 0
% 4.24/1.03  #    Propositional preprocessing time  : 0.000
% 4.24/1.03  #    Propositional encoding time       : 0.000
% 4.24/1.03  #    Propositional solver time         : 0.000
% 4.24/1.03  #    Success case prop preproc time    : 0.000
% 4.24/1.03  #    Success case prop encoding time   : 0.000
% 4.24/1.03  #    Success case prop solver time     : 0.000
% 4.24/1.03  # Current number of processed clauses  : 1277
% 4.24/1.03  #    Positive orientable unit clauses  : 115
% 4.24/1.03  #    Positive unorientable unit clauses: 0
% 4.24/1.03  #    Negative unit clauses             : 21
% 4.24/1.03  #    Non-unit-clauses                  : 1141
% 4.24/1.03  # Current number of unprocessed clauses: 22853
% 4.24/1.03  # ...number of literals in the above   : 115749
% 4.24/1.03  # Current number of archived formulas  : 0
% 4.24/1.03  # Current number of archived clauses   : 384
% 4.24/1.03  # Clause-clause subsumption calls (NU) : 229390
% 4.24/1.03  # Rec. Clause-clause subsumption calls : 59618
% 4.24/1.03  # Non-unit clause-clause subsumptions  : 3171
% 4.24/1.03  # Unit Clause-clause subsumption calls : 6516
% 4.24/1.03  # Rewrite failures with RHS unbound    : 0
% 4.24/1.03  # BW rewrite match attempts            : 15
% 4.24/1.03  # BW rewrite match successes           : 15
% 4.24/1.03  # Condensation attempts                : 0
% 4.24/1.03  # Condensation successes               : 0
% 4.24/1.03  # Termbank termtop insertions          : 515942
% 4.24/1.03  # Search garbage collected termcells   : 563
% 4.24/1.03  
% 4.24/1.03  # -------------------------------------------------
% 4.24/1.03  # User time                : 0.491 s
% 4.24/1.03  # System time              : 0.021 s
% 4.24/1.03  # Total time               : 0.512 s
% 4.24/1.03  # Maximum resident set size: 2136 pages
% 4.24/1.03  
% 4.24/1.03  # -------------------------------------------------
% 4.24/1.03  # User time                : 2.402 s
% 4.24/1.03  # System time              : 0.102 s
% 4.24/1.03  # Total time               : 2.504 s
% 4.24/1.03  # Maximum resident set size: 1880 pages
% 4.24/1.03  % E---3.1 exiting
% 4.24/1.03  % E exiting
%------------------------------------------------------------------------------