↑ Up

CSE_E---1.7.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWC397-1 : TPTP v9.2.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n023.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 05:19:30 PM UTC 2026

% Result   : Unsatisfiable 2.05s 1.92s
% Output   : CNFRefutation 2.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   29
% Syntax   : Number of clauses     :   98 (  32 unt;  11 nHn;  87 RR)
%            Number of literals    :  248 (  37 equ; 151 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    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :  113 (  13 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_8,negated_conjecture,
    memberP(sk1,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

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

cnf(co1_10,negated_conjecture,
    ( nil = sk3
    | nil != sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

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(clause71,axiom,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause71) ).

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

cnf(co1_13,negated_conjecture,
    ( app(cons(sk6,nil),sk7) = sk3
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

cnf(clause100,axiom,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).

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

cnf(co1_11,negated_conjecture,
    ( ssItem(sk6)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

cnf(co1_12,negated_conjecture,
    ( ssList(sk7)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

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(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(clause72,axiom,
    ( duplicatefreeP(X1)
    | ssItem(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause72) ).

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

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

cnf(clause179,axiom,
    ( app(app(X1,cons(X2,X3)),cons(X2,X4)) != X5
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ duplicatefreeP(X5)
    | ~ ssList(X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause179) ).

cnf(co1_14,negated_conjecture,
    ( app(sk7,cons(sk6,nil)) = sk4
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

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

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

cnf(clause141,axiom,
    ( memberP(app(X3,X1),X2)
    | ~ memberP(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssItem(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause141) ).

cnf(clause149,axiom,
    ( app(app(X3,X2),X1) = app(X3,app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause149) ).

cnf(clause131,axiom,
    ( app(skaf46(X1,X2),X2) = X1
    | ~ rearsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause131) ).

cnf(clause50,axiom,
    ssList(skaf46(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause50) ).

cnf(clause143,axiom,
    ( rearsegP(X3,X2)
    | app(X1,X2) != X3
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause143) ).

cnf(clause140,axiom,
    ( memberP(app(X1,X3),X2)
    | ~ memberP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause140) ).

cnf(clause158,axiom,
    ( memberP(X2,X3)
    | memberP(X1,X3)
    | ~ memberP(app(X1,X2),X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssItem(X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause158) ).

cnf(co1_9,negated_conjecture,
    ~ memberP(sk2,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(c_0_29,negated_conjecture,
    memberP(sk1,sk5),
    co1_8 ).

cnf(c_0_30,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_31,negated_conjecture,
    memberP(sk3,sk5),
    inference(rw,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_32,negated_conjecture,
    ( nil = sk3
    | nil != sk4 ),
    co1_10 ).

cnf(c_0_33,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_34,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_35,axiom,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    clause71 ).

cnf(c_0_36,negated_conjecture,
    ( memberP(nil,sk5)
    | sk4 != nil ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_37,negated_conjecture,
    ssItem(sk5),
    co1_7 ).

cnf(c_0_38,negated_conjecture,
    ( app(cons(sk6,nil),sk7) = sk3
    | ~ neq(sk4,nil) ),
    co1_13 ).

cnf(c_0_39,axiom,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause100 ).

cnf(c_0_40,negated_conjecture,
    ssList(sk4),
    inference(rw,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_41,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_42,negated_conjecture,
    sk4 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).

cnf(c_0_43,negated_conjecture,
    ( ssItem(sk6)
    | ~ neq(sk4,nil) ),
    co1_11 ).

cnf(c_0_44,negated_conjecture,
    ( ssList(sk7)
    | ~ neq(sk4,nil) ),
    co1_12 ).

cnf(c_0_45,negated_conjecture,
    app(cons(sk6,nil),sk7) = sk3,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_41])]),c_0_42]) ).

cnf(c_0_46,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause120 ).

cnf(c_0_47,negated_conjecture,
    ssItem(sk6),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_39]),c_0_40]),c_0_41])]),c_0_42]) ).

cnf(c_0_48,negated_conjecture,
    ssList(sk7),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_39]),c_0_40]),c_0_41])]),c_0_42]) ).

cnf(c_0_49,axiom,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    clause157 ).

cnf(c_0_50,negated_conjecture,
    cons(sk6,sk7) = sk3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_48])]) ).

cnf(c_0_51,axiom,
    ( duplicatefreeP(X1)
    | ssItem(X2)
    | ~ ssList(X1) ),
    clause72 ).

cnf(c_0_52,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause85 ).

cnf(c_0_53,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause86 ).

cnf(c_0_54,negated_conjecture,
    ( cons(sk6,app(sk7,X1)) = app(sk3,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_47]),c_0_48])]) ).

cnf(c_0_55,axiom,
    ( app(app(X1,cons(X2,X3)),cons(X2,X4)) != X5
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ duplicatefreeP(X5)
    | ~ ssList(X5) ),
    clause179 ).

cnf(c_0_56,negated_conjecture,
    ( app(sk7,cons(sk6,nil)) = sk4
    | ~ neq(sk4,nil) ),
    co1_14 ).

cnf(c_0_57,plain,
    ( ssItem(X1)
    | duplicatefreeP(app(X2,X3))
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_58,negated_conjecture,
    ( ssList(app(sk3,X1))
    | ~ ssList(app(sk7,X1))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_47])]) ).

cnf(c_0_59,plain,
    ( ~ ssItem(X1)
    | ~ ssList(app(app(X2,cons(X1,X3)),cons(X1,X4)))
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ duplicatefreeP(app(app(X2,cons(X1,X3)),cons(X1,X4))) ),
    inference(er,[status(thm)],[c_0_55]) ).

cnf(c_0_60,negated_conjecture,
    app(sk7,cons(sk6,nil)) = sk4,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_39]),c_0_40]),c_0_41])]),c_0_42]) ).

cnf(c_0_61,negated_conjecture,
    ( ssItem(X1)
    | duplicatefreeP(app(sk4,X2))
    | ~ ssList(X2) ),
    inference(spm,[status(thm)],[c_0_57,c_0_40]) ).

cnf(c_0_62,negated_conjecture,
    ( ssList(app(sk3,X1))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_52]),c_0_48])]) ).

cnf(c_0_63,axiom,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    clause73 ).

cnf(c_0_64,negated_conjecture,
    ( ~ ssList(app(sk4,cons(sk6,X1)))
    | ~ ssList(X1)
    | ~ duplicatefreeP(app(sk4,cons(sk6,X1))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_47]),c_0_41]),c_0_48])]) ).

cnf(c_0_65,negated_conjecture,
    ( ssItem(X1)
    | duplicatefreeP(app(sk4,app(sk3,X2)))
    | ~ ssList(X2) ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_66,negated_conjecture,
    app(sk3,nil) = sk3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_63]),c_0_50]),c_0_41]),c_0_48])]) ).

cnf(c_0_67,negated_conjecture,
    ( ~ ssList(app(sk4,sk3))
    | ~ duplicatefreeP(app(sk4,sk3)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_50]),c_0_48])]) ).

cnf(c_0_68,negated_conjecture,
    ( ssItem(X1)
    | duplicatefreeP(app(sk4,sk3)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_41]),c_0_66]) ).

cnf(c_0_69,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_70,negated_conjecture,
    ( ssItem(X1)
    | ~ ssList(app(sk4,sk3)) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_71,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_69,c_0_30]) ).

cnf(c_0_72,axiom,
    ( memberP(app(X3,X1),X2)
    | ~ memberP(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssItem(X2) ),
    clause141 ).

cnf(c_0_73,negated_conjecture,
    ssItem(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_52]),c_0_40]),c_0_71])]) ).

cnf(c_0_74,axiom,
    ( app(app(X3,X2),X1) = app(X3,app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    clause149 ).

cnf(c_0_75,plain,
    ( memberP(app(X1,X2),X3)
    | ~ memberP(X2,X3)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_73])]) ).

cnf(c_0_76,axiom,
    ( app(skaf46(X1,X2),X2) = X1
    | ~ rearsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause131 ).

cnf(c_0_77,axiom,
    ssList(skaf46(X1,X2)),
    clause50 ).

cnf(c_0_78,axiom,
    ( rearsegP(X3,X2)
    | app(X1,X2) != X3
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    clause143 ).

cnf(c_0_79,negated_conjecture,
    ( app(sk7,app(cons(sk6,nil),X1)) = app(sk4,X1)
    | ~ ssList(cons(sk6,nil))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_60]),c_0_48])]) ).

cnf(c_0_80,plain,
    ( memberP(X1,X2)
    | ~ memberP(X3,X2)
    | ~ rearsegP(X1,X3)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77])]) ).

cnf(c_0_81,plain,
    ( rearsegP(app(X1,X2),X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_78]),c_0_52]) ).

cnf(c_0_82,negated_conjecture,
    ( app(sk7,sk3) = app(sk4,sk7)
    | ~ ssList(cons(sk6,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_45]),c_0_48])]) ).

cnf(c_0_83,axiom,
    ( memberP(app(X1,X3),X2)
    | ~ memberP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    clause140 ).

cnf(c_0_84,axiom,
    ( memberP(X2,X3)
    | memberP(X1,X3)
    | ~ memberP(app(X1,X2),X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssItem(X3) ),
    clause158 ).

cnf(c_0_85,negated_conjecture,
    ( memberP(X1,sk5)
    | ~ rearsegP(X1,sk3)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_31]),c_0_71])]) ).

cnf(c_0_86,negated_conjecture,
    ( rearsegP(app(sk4,sk7),sk3)
    | ~ ssList(cons(sk6,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_71]),c_0_48])]) ).

cnf(c_0_87,negated_conjecture,
    ( ssList(app(sk4,sk7))
    | ~ ssList(cons(sk6,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_82]),c_0_48]),c_0_71])]) ).

cnf(c_0_88,negated_conjecture,
    ~ memberP(sk2,sk5),
    co1_9 ).

cnf(c_0_89,negated_conjecture,
    ( memberP(sk4,X1)
    | ~ memberP(sk7,X1)
    | ~ ssItem(X1)
    | ~ ssList(cons(sk6,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_60]),c_0_48])]) ).

cnf(c_0_90,plain,
    ( memberP(X1,X2)
    | memberP(X3,X2)
    | ~ memberP(app(X1,X3),X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_73])]) ).

cnf(c_0_91,negated_conjecture,
    ( memberP(app(sk4,sk7),sk5)
    | ~ ssList(cons(sk6,nil)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).

cnf(c_0_92,negated_conjecture,
    ~ memberP(sk4,sk5),
    inference(rw,[status(thm)],[c_0_88,c_0_34]) ).

cnf(c_0_93,negated_conjecture,
    ( memberP(sk4,X1)
    | ~ memberP(sk7,X1)
    | ~ ssList(cons(sk6,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_73])]) ).

cnf(c_0_94,negated_conjecture,
    ( memberP(sk7,sk5)
    | ~ ssList(cons(sk6,nil)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_48]),c_0_40])]),c_0_92]) ).

cnf(c_0_95,negated_conjecture,
    ~ ssList(cons(sk6,nil)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_92]) ).

cnf(c_0_96,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_73])]) ).

cnf(c_0_97,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_41])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWC397-1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.33  % Computer : n023.cluster.edu
% 0.17/0.33  % Model    : x86_64 x86_64
% 0.17/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33  % Memory   : 8042.1875MB
% 0.17/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33  % CPULimit   : 300
% 0.17/0.33  % WCLimit    : 300
% 0.17/0.33  % DateTime   : Tue May  5 04:48:53 EDT 2026
% 0.17/0.33  % CPUTime    : 
% 0.17/0.34  % start to proof: theBenchmark
% 2.05/1.92  % Version  : CSE_E---1.7
% 2.05/1.92  % Problem  : theBenchmark.p
% 2.05/1.92  % SZS status Unsatisfiable for theBenchmark.p
% 2.05/1.92  % SZS output start CNFRefutation
% See solution above
% 2.05/1.93  % Total time : 1.373s
%------------------------------------------------------------------------------