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FindProof---0.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SWC351-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n009.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 : Fri Sep 25 03:06:06 PM UTC 2026

% Result   : Unsatisfiable 102.33s 15.52s
% Output   : Proof 102.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  120 (  68 unt;   0 def)
%            Number of atoms       :  304 (  90 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  430 ( 246   ~; 184   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  10 con; 0-4 aty)
%            Number of variables   :  152 (   2 sgn  68   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(f143,axiom,
    ( frontsegP(W,U)
    | ~ ssList(W)
    | ~ ssList(U)
    | ~ ssList(V)
    | app(U,V) != W ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f143_nnf,plain,
    ! [U,V,W] :
      ( frontsegP(W,U)
      | ~ ssList(W)
      | ~ ssList(U)
      | ~ ssList(V)
      | app(U,V) != W ),
    inference(nnf_transformation,[status(thm)],[f143]) ).

fof(f143_sk,plain,
    ! [U,V,W] :
      ( frontsegP(W,U)
      | ~ ssList(W)
      | ~ ssList(U)
      | ~ ssList(V)
      | app(U,V) != W ),
    inference(skolemisation,[status(esa)],[f143_nnf]) ).

cnf(c143,plain,
    ( frontsegP(X2,X0)
    | ~ ssList(X2)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | app(X0,X1) != X2 ),
    inference(cnf_transformation,[status(esa)],[f143_sk]) ).

cnf(t171,plain,
    ifeq(app(X1,X2),X3,ifeq(ssList(X2),true,ifeq(ssList(X1),true,ifeq(ssList(X3),true,frontsegP(X3,X1),true),true),true),true) = true,
    inference(equality_encoding,[status(esa)],[c143]) ).

cnf(t303,plain,
    ifeq(app(X1,X2),X3,ifeq(ssList(X2),true,ifeq(ssList(X1),true,ifeq(ssList(X3),true,frontsegP(X3,X1),true),true),true),true) = true,
    inference(orient,[status(thm)],[t171]) ).

cnf(t72,plain,
    ifeq(X1,X1,X2,X3) = X2,
    introduced(definition) ).

cnf(t223,plain,
    ifeq(X1,X1,X2,X3) = X2,
    inference(orient,[status(thm)],[t72]) ).

cnf(t304,plain,
    true = ifeq(ssList(X1),true,ifeq(ssList(X2),true,ifeq(ssList(app(X2,X1)),true,frontsegP(app(X2,X1),X2),true),true),true),
    inference(cp,[status(thm)],[t303,t223]) ).

cnf(t139463,plain,
    ifeq(ssList(X1),true,ifeq(ssList(X2),true,ifeq(ssList(app(X2,X1)),true,frontsegP(app(X2,X1),X2),true),true),true) = true,
    inference(orient,[status(thm)],[t304]) ).

cnf(f193,negated_conjecture,
    app(sk3,sk5) = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f193_nnf,plain,
    app(sk3,sk5) = sk4,
    inference(nnf_transformation,[status(thm)],[f193]) ).

cnf(c193,plain,
    app(sk3,sk5) = sk4,
    inference(cnf_transformation,[status(esa)],[f193_nnf]) ).

cnf(t21,plain,
    app(sk3,sk5) = sk4,
    inference(equality_encoding,[status(esa)],[c193]) ).

cnf(t581,plain,
    app(sk3,sk5) = sk4,
    inference(orient,[status(thm)],[t21]) ).

cnf(t140416,plain,
    true = ifeq(ssList(sk5),true,ifeq(ssList(sk3),true,ifeq(ssList(sk4),true,frontsegP(app(sk3,sk5),sk3),true),true),true),
    inference(cp,[status(thm)],[t139463,t581]) ).

cnf(f192,negated_conjecture,
    ssList(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f192_nnf,plain,
    ssList(sk5),
    inference(nnf_transformation,[status(thm)],[f192]) ).

cnf(c192,plain,
    ssList(sk5),
    inference(cnf_transformation,[status(esa)],[f192_nnf]) ).

cnf(t15,plain,
    ssList(sk5) = true,
    inference(equality_encoding,[status(esa)],[c192]) ).

cnf(t1248,plain,
    ssList(sk5) = true,
    inference(orient,[status(thm)],[t15]) ).

cnf(t145182,plain,
    true = ifeq(true,true,ifeq(ssList(sk3),true,ifeq(ssList(sk4),true,frontsegP(app(sk3,sk5),sk3),true),true),true),
    inference(step,[status(thm)],[t140416,t1248]) ).

cnf(t145183,plain,
    true = ifeq(ssList(sk3),true,ifeq(ssList(sk4),true,frontsegP(app(sk3,sk5),sk3),true),true),
    inference(step,[status(thm)],[t145182,t223]) ).

cnf(f187,negated_conjecture,
    ssList(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).

fof(f187_nnf,plain,
    ssList(sk3),
    inference(nnf_transformation,[status(thm)],[f187]) ).

cnf(c187,plain,
    ssList(sk3),
    inference(cnf_transformation,[status(esa)],[f187_nnf]) ).

cnf(t13,plain,
    ssList(sk3) = true,
    inference(equality_encoding,[status(esa)],[c187]) ).

cnf(t872,plain,
    ssList(sk3) = true,
    inference(orient,[status(thm)],[t13]) ).

cnf(t145184,plain,
    true = ifeq(true,true,ifeq(ssList(sk4),true,frontsegP(app(sk3,sk5),sk3),true),true),
    inference(step,[status(thm)],[t145183,t872]) ).

cnf(t145185,plain,
    true = ifeq(ssList(sk4),true,frontsegP(app(sk3,sk5),sk3),true),
    inference(step,[status(thm)],[t145184,t223]) ).

cnf(f186,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

fof(f186_nnf,plain,
    ssList(sk2),
    inference(nnf_transformation,[status(thm)],[f186]) ).

cnf(c186,plain,
    ssList(sk2),
    inference(cnf_transformation,[status(esa)],[f186_nnf]) ).

cnf(t12,plain,
    ssList(sk2) = true,
    inference(equality_encoding,[status(esa)],[c186]) ).

cnf(f189,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f189_nnf,plain,
    sk2 = sk4,
    inference(nnf_transformation,[status(thm)],[f189]) ).

cnf(c189,plain,
    sk2 = sk4,
    inference(cnf_transformation,[status(esa)],[f189_nnf]) ).

cnf(t1,plain,
    sk4 = sk2,
    inference(equality_encoding,[status(esa)],[c189]) ).

cnf(t690,plain,
    sk2 = sk4,
    inference(orient,[status(thm)],[t1]) ).

cnf(t140649,plain,
    ssList(sk4) = true,
    inference(step,[status(thm)],[t12,t690]) ).

cnf(t1060,plain,
    ssList(sk4) = true,
    inference(orient,[status(thm)],[t140649]) ).

cnf(t145186,plain,
    true = ifeq(true,true,frontsegP(app(sk3,sk5),sk3),true),
    inference(step,[status(thm)],[t145185,t1060]) ).

cnf(t145187,plain,
    true = frontsegP(app(sk3,sk5),sk3),
    inference(step,[status(thm)],[t145186,t223]) ).

cnf(t145188,plain,
    true = frontsegP(sk4,sk3),
    inference(step,[status(thm)],[t145187,t581]) ).

cnf(f196,negated_conjecture,
    ~ frontsegP(sk2,sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f196_nnf,plain,
    ~ frontsegP(sk2,sk1),
    inference(nnf_transformation,[status(thm)],[f196]) ).

fof(f196_sk,plain,
    ~ frontsegP(sk2,sk1),
    inference(skolemisation,[status(esa)],[f196_nnf]) ).

cnf(c196,plain,
    ~ frontsegP(sk2,sk1),
    inference(cnf_transformation,[status(esa)],[f196_sk]) ).

cnf(t24,plain,
    frontsegP(sk2,sk1) = false,
    inference(equality_encoding,[status(esa)],[c196]) ).

cnf(t655,plain,
    frontsegP(sk2,sk1) = false,
    inference(orient,[status(thm)],[t24]) ).

cnf(f190,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f190_nnf,plain,
    sk1 = sk3,
    inference(nnf_transformation,[status(thm)],[f190]) ).

cnf(c190,plain,
    sk1 = sk3,
    inference(cnf_transformation,[status(esa)],[f190_nnf]) ).

cnf(t0,plain,
    sk3 = sk1,
    inference(equality_encoding,[status(esa)],[c190]) ).

cnf(t670,plain,
    sk1 = sk3,
    inference(orient,[status(thm)],[t0]) ).

cnf(t140647,plain,
    frontsegP(sk2,sk3) = false,
    inference(step,[status(thm)],[t655,t670]) ).

cnf(t671,plain,
    frontsegP(sk2,sk3) = false,
    inference(rw,[status(thm)],[t140647]) ).

cnf(t140650,plain,
    frontsegP(sk4,sk3) = false,
    inference(step,[status(thm)],[t671,t690]) ).

cnf(t8626,plain,
    frontsegP(sk4,sk3) = false,
    inference(orient,[status(thm)],[t140650]) ).

cnf(t145189,plain,
    true = false,
    inference(step,[status(thm)],[t145188,t8626]) ).

cnf(t140519,plain,
    false = true,
    inference(orient,[status(thm)],[t145189]) ).

cnf(f10,axiom,
    ~ singletonP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).

fof(f10_nnf,plain,
    ~ singletonP(nil),
    inference(nnf_transformation,[status(thm)],[f10]) ).

fof(f10_sk,plain,
    ~ singletonP(nil),
    inference(skolemisation,[status(esa)],[f10_nnf]) ).

cnf(c10,plain,
    ~ singletonP(nil),
    inference(cnf_transformation,[status(esa)],[f10_sk]) ).

cnf(f53,axiom,
    skac3 != skac2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f53_nnf,plain,
    skac3 != skac2,
    inference(nnf_transformation,[status(thm)],[f53]) ).

fof(f53_sk,plain,
    skac3 != skac2,
    inference(skolemisation,[status(esa)],[f53_nnf]) ).

cnf(c53,plain,
    skac3 != skac2,
    inference(cnf_transformation,[status(esa)],[f53_sk]) ).

cnf(f62,axiom,
    ( ~ ssItem(U)
    | ~ lt(U,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f62_nnf,plain,
    ! [U] :
      ( ~ ssItem(U)
      | ~ lt(U,U) ),
    inference(nnf_transformation,[status(thm)],[f62]) ).

fof(f62_sk,plain,
    ! [U] :
      ( ~ ssItem(U)
      | ~ lt(U,U) ),
    inference(skolemisation,[status(esa)],[f62_nnf]) ).

cnf(c62,plain,
    ( ~ ssItem(X0)
    | ~ lt(X0,X0) ),
    inference(cnf_transformation,[status(esa)],[f62_sk]) ).

cnf(f70,axiom,
    ( ~ ssItem(U)
    | ~ memberP(nil,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f70_nnf,plain,
    ! [U] :
      ( ~ ssItem(U)
      | ~ memberP(nil,U) ),
    inference(nnf_transformation,[status(thm)],[f70]) ).

fof(f70_sk,plain,
    ! [U] :
      ( ~ ssItem(U)
      | ~ memberP(nil,U) ),
    inference(skolemisation,[status(esa)],[f70_nnf]) ).

cnf(c70,plain,
    ( ~ ssItem(X0)
    | ~ memberP(nil,X0) ),
    inference(cnf_transformation,[status(esa)],[f70_sk]) ).

cnf(f97,axiom,
    ( ~ ssList(V)
    | ~ ssItem(U)
    | cons(U,V) != nil ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f97_nnf,plain,
    ! [U,V] :
      ( ~ ssList(V)
      | ~ ssItem(U)
      | cons(U,V) != nil ),
    inference(nnf_transformation,[status(thm)],[f97]) ).

fof(f97_sk,plain,
    ! [U,V] :
      ( ~ ssList(V)
      | ~ ssItem(U)
      | cons(U,V) != nil ),
    inference(skolemisation,[status(esa)],[f97_nnf]) ).

cnf(c97,plain,
    ( ~ ssList(X1)
    | ~ ssItem(X0)
    | cons(X0,X1) != nil ),
    inference(cnf_transformation,[status(esa)],[f97_sk]) ).

cnf(f98,axiom,
    ( ~ ssList(V)
    | ~ ssItem(U)
    | cons(U,V) != V ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f98_nnf,plain,
    ! [U,V] :
      ( ~ ssList(V)
      | ~ ssItem(U)
      | cons(U,V) != V ),
    inference(nnf_transformation,[status(thm)],[f98]) ).

fof(f98_sk,plain,
    ! [U,V] :
      ( ~ ssList(V)
      | ~ ssItem(U)
      | cons(U,V) != V ),
    inference(skolemisation,[status(esa)],[f98_nnf]) ).

cnf(c98,plain,
    ( ~ ssList(X1)
    | ~ ssItem(X0)
    | cons(X0,X1) != X1 ),
    inference(cnf_transformation,[status(esa)],[f98_sk]) ).

cnf(f109,axiom,
    ( ~ ssItem(V)
    | ~ ssItem(U)
    | ~ gt(V,U)
    | ~ gt(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f109_nnf,plain,
    ! [U,V] :
      ( ~ ssItem(V)
      | ~ ssItem(U)
      | ~ gt(V,U)
      | ~ gt(U,V) ),
    inference(nnf_transformation,[status(thm)],[f109]) ).

fof(f109_sk,plain,
    ! [U,V] :
      ( ~ ssItem(V)
      | ~ ssItem(U)
      | ~ gt(V,U)
      | ~ gt(U,V) ),
    inference(skolemisation,[status(esa)],[f109_nnf]) ).

cnf(c109,plain,
    ( ~ ssItem(X1)
    | ~ ssItem(X0)
    | ~ gt(X1,X0)
    | ~ gt(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f109_sk]) ).

cnf(f110,axiom,
    ( ~ ssItem(U)
    | ~ ssItem(V)
    | ~ lt(U,V)
    | U != V ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f110_nnf,plain,
    ! [U,V] :
      ( ~ ssItem(U)
      | ~ ssItem(V)
      | ~ lt(U,V)
      | U != V ),
    inference(nnf_transformation,[status(thm)],[f110]) ).

fof(f110_sk,plain,
    ! [U,V] :
      ( ~ ssItem(U)
      | ~ ssItem(V)
      | ~ lt(U,V)
      | U != V ),
    inference(skolemisation,[status(esa)],[f110_nnf]) ).

cnf(c110,plain,
    ( ~ ssItem(X0)
    | ~ ssItem(X1)
    | ~ lt(X0,X1)
    | X0 != X1 ),
    inference(cnf_transformation,[status(esa)],[f110_sk]) ).

cnf(f113,axiom,
    ( ~ ssItem(V)
    | ~ ssItem(U)
    | ~ lt(V,U)
    | ~ lt(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f113_nnf,plain,
    ! [U,V] :
      ( ~ ssItem(V)
      | ~ ssItem(U)
      | ~ lt(V,U)
      | ~ lt(U,V) ),
    inference(nnf_transformation,[status(thm)],[f113]) ).

fof(f113_sk,plain,
    ! [U,V] :
      ( ~ ssItem(V)
      | ~ ssItem(U)
      | ~ lt(V,U)
      | ~ lt(U,V) ),
    inference(skolemisation,[status(esa)],[f113_nnf]) ).

cnf(c113,plain,
    ( ~ ssItem(X1)
    | ~ ssItem(X0)
    | ~ lt(X1,X0)
    | ~ lt(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f113_sk]) ).

cnf(f114,axiom,
    ( ~ ssList(U)
    | ~ ssList(V)
    | ~ neq(U,V)
    | U != V ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f114_nnf,plain,
    ! [U,V] :
      ( ~ ssList(U)
      | ~ ssList(V)
      | ~ neq(U,V)
      | U != V ),
    inference(nnf_transformation,[status(thm)],[f114]) ).

fof(f114_sk,plain,
    ! [U,V] :
      ( ~ ssList(U)
      | ~ ssList(V)
      | ~ neq(U,V)
      | U != V ),
    inference(skolemisation,[status(esa)],[f114_nnf]) ).

cnf(c114,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | ~ neq(X0,X1)
    | X0 != X1 ),
    inference(cnf_transformation,[status(esa)],[f114_sk]) ).

cnf(f116,axiom,
    ( ~ ssItem(U)
    | ~ ssItem(V)
    | ~ neq(U,V)
    | U != V ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f116_nnf,plain,
    ! [U,V] :
      ( ~ ssItem(U)
      | ~ ssItem(V)
      | ~ neq(U,V)
      | U != V ),
    inference(nnf_transformation,[status(thm)],[f116]) ).

fof(f116_sk,plain,
    ! [U,V] :
      ( ~ ssItem(U)
      | ~ ssItem(V)
      | ~ neq(U,V)
      | U != V ),
    inference(skolemisation,[status(esa)],[f116_nnf]) ).

cnf(c116,plain,
    ( ~ ssItem(X0)
    | ~ ssItem(X1)
    | ~ neq(X0,X1)
    | X0 != X1 ),
    inference(cnf_transformation,[status(esa)],[f116_sk]) ).

cnf(f178,axiom,
    ( ~ ssList(Y)
    | ~ duplicatefreeP(Y)
    | ~ ssItem(V)
    | ~ ssList(U)
    | ~ ssList(W)
    | ~ ssList(X)
    | app(app(U,cons(V,W)),cons(V,X)) != Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f178_nnf,plain,
    ! [U,V,W,X,Y] :
      ( ~ ssList(Y)
      | ~ duplicatefreeP(Y)
      | ~ ssItem(V)
      | ~ ssList(U)
      | ~ ssList(W)
      | ~ ssList(X)
      | app(app(U,cons(V,W)),cons(V,X)) != Y ),
    inference(nnf_transformation,[status(thm)],[f178]) ).

fof(f178_sk,plain,
    ! [U,V,W,X,Y] :
      ( ~ ssList(Y)
      | ~ duplicatefreeP(Y)
      | ~ ssItem(V)
      | ~ ssList(U)
      | ~ ssList(W)
      | ~ ssList(X)
      | app(app(U,cons(V,W)),cons(V,X)) != Y ),
    inference(skolemisation,[status(esa)],[f178_nnf]) ).

cnf(c178,plain,
    ( ~ ssList(X4)
    | ~ duplicatefreeP(X4)
    | ~ ssItem(X1)
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4 ),
    inference(cnf_transformation,[status(esa)],[f178_sk]) ).

cnf(f184,axiom,
    ( ~ ssList(Z)
    | ~ cyclefreeP(Z)
    | ~ ssItem(U)
    | ~ ssItem(V)
    | ~ ssList(W)
    | ~ ssList(X)
    | ~ ssList(Y)
    | app(app(W,cons(U,X)),cons(V,Y)) != Z
    | ~ leq(V,U)
    | ~ leq(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f184_nnf,plain,
    ! [U,V,W,X,Y,Z] :
      ( ~ ssList(Z)
      | ~ cyclefreeP(Z)
      | ~ ssItem(U)
      | ~ ssItem(V)
      | ~ ssList(W)
      | ~ ssList(X)
      | ~ ssList(Y)
      | app(app(W,cons(U,X)),cons(V,Y)) != Z
      | ~ leq(V,U)
      | ~ leq(U,V) ),
    inference(nnf_transformation,[status(thm)],[f184]) ).

fof(f184_sk,plain,
    ! [U,V,W,X,Y,Z] :
      ( ~ ssList(Z)
      | ~ cyclefreeP(Z)
      | ~ ssItem(U)
      | ~ ssItem(V)
      | ~ ssList(W)
      | ~ ssList(X)
      | ~ ssList(Y)
      | app(app(W,cons(U,X)),cons(V,Y)) != Z
      | ~ leq(V,U)
      | ~ leq(U,V) ),
    inference(skolemisation,[status(esa)],[f184_nnf]) ).

cnf(c184,plain,
    ( ~ ssList(X5)
    | ~ cyclefreeP(X5)
    | ~ ssItem(X0)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X4)
    | app(app(X2,cons(X0,X3)),cons(X1,X4)) != X5
    | ~ leq(X1,X0)
    | ~ leq(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f184_sk]) ).

cnf(f195,negated_conjecture,
    ( ~ lt(C,A)
    | app(D,cons(C,nil)) != sk3
    | ~ ssList(D)
    | ~ ssItem(C)
    | app(cons(A,nil),B) != sk5
    | ~ ssList(B)
    | ~ ssItem(A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f195_nnf,plain,
    ! [A,B,C,D] :
      ( ~ lt(C,A)
      | app(D,cons(C,nil)) != sk3
      | ~ ssList(D)
      | ~ ssItem(C)
      | app(cons(A,nil),B) != sk5
      | ~ ssList(B)
      | ~ ssItem(A) ),
    inference(nnf_transformation,[status(thm)],[f195]) ).

fof(f195_sk,plain,
    ! [A,B,C,D] :
      ( ~ lt(C,A)
      | app(D,cons(C,nil)) != sk3
      | ~ ssList(D)
      | ~ ssItem(C)
      | app(cons(A,nil),B) != sk5
      | ~ ssList(B)
      | ~ ssItem(A) ),
    inference(skolemisation,[status(esa)],[f195_nnf]) ).

cnf(c195,plain,
    ( ~ lt(X2,X0)
    | app(X3,cons(X2,nil)) != sk3
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | app(cons(X0,nil),X1) != sk5
    | ~ ssList(X1)
    | ~ ssItem(X0) ),
    inference(cnf_transformation,[status(esa)],[f195_sk]) ).

cnf(goal_0,negated_conjecture,
    true != false,
    inference(equality_encoding,[status(esa)],[c10,c53,c62,c70,c97,c98,c109,c110,c113,c114,c116,c178,c184,c195,c196]) ).

cnf(g0_0,plain,
    true != true,
    inference(rw,[status(thm)],[goal_0,t140519]) ).

cnf(contradiction_0,plain,
    $false,
    inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC351-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.36  % Computer : n009.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Thu Sep 24 17:46:59 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 102.33/15.52  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 102.33/15.52  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------