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FindProof---0.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : PLA031-1.004 : TPTP v9.3.1. Released v3.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n018.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 02:30:43 PM UTC 2026

% Result   : Unsatisfiable 249.85s 36.63s
% Output   : Proof 249.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  133 (  89 unt;   0 def)
%            Number of atoms       :  201 (  33 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  178 ( 110   ~;  68   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-9 aty)
%            Number of functors    :   12 (  12 usr;  11 con; 0-4 aty)
%            Number of variables   :  460 (   6 sgn 184   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(f18,axiom,
    ( s(O1,O2,O3,O4,truck2,D2,D3,T1,L)
    | ~ neq(D3,truck2)
    | ~ neq(D2,truck2)
    | ~ s(O1,O2,O3,O4,L,D2,D3,T1,L) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',board3) ).

fof(f18_nnf,plain,
    ! [O1,O2,O3,O4,L,D2,D3,T1] :
      ( s(O1,O2,O3,O4,truck2,D2,D3,T1,L)
      | ~ neq(D3,truck2)
      | ~ neq(D2,truck2)
      | ~ s(O1,O2,O3,O4,L,D2,D3,T1,L) ),
    inference(nnf_transformation,[status(thm)],[f18]) ).

fof(f18_sk,plain,
    ! [O1,O2,O3,O4,L,D2,D3,T1] :
      ( s(O1,O2,O3,O4,truck2,D2,D3,T1,L)
      | ~ neq(D3,truck2)
      | ~ neq(D2,truck2)
      | ~ s(O1,O2,O3,O4,L,D2,D3,T1,L) ),
    inference(skolemisation,[status(esa)],[f18_nnf]) ).

cnf(c18,plain,
    ( s(X0,X1,X2,X3,truck2,X5,X6,X7,X4)
    | ~ neq(X6,truck2)
    | ~ neq(X5,truck2)
    | ~ s(X0,X1,X2,X3,X4,X5,X6,X7,X4) ),
    inference(cnf_transformation,[status(esa)],[f18_sk]) ).

cnf(hi18,axiom,
    ifeq(s(X0,X1,X2,X3,X4,X5,X6,X7,X4),true,ifeq(neq(X5,truck2),true,ifeq(neq(X6,truck2),true,s(X0,X1,X2,X3,truck2,X5,X6,X7,X4),true),true),true) = true,
    inference(equality_encoding,[status(esa)],[c18]) ).

cnf(f136,axiom,
    s(s1,s0,s2,s0,s1,s2,s2,s0,s1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',init) ).

fof(f136_nnf,plain,
    s(s1,s0,s2,s0,s1,s2,s2,s0,s1),
    inference(nnf_transformation,[status(thm)],[f136]) ).

cnf(c136,plain,
    s(s1,s0,s2,s0,s1,s2,s2,s0,s1),
    inference(cnf_transformation,[status(esa)],[f136_nnf]) ).

cnf(hi127,axiom,
    s(s1,s0,s2,s0,s1,s2,s2,s0,s1) = true,
    inference(equality_encoding,[status(esa)],[c136]) ).

cnf(f74,axiom,
    neq(s2,truck2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq38) ).

fof(f74_nnf,plain,
    neq(s2,truck2),
    inference(nnf_transformation,[status(thm)],[f74]) ).

cnf(c74,plain,
    neq(s2,truck2),
    inference(cnf_transformation,[status(esa)],[f74_nnf]) ).

cnf(hi70,axiom,
    neq(s2,truck2) = true,
    inference(equality_encoding,[status(esa)],[c74]) ).

cnf(h6,plain,
    s(s1,s0,s2,s0,truck2,s2,s2,s0,s1) = true,
    inference(hyper_resolution,[status(thm)],[hi18,hi127,hi70,hi70]) ).

cnf(f2,axiom,
    ( s(truck2,O2,O3,O4,D1,D2,D3,T1,L)
    | ~ s(L,O2,O3,O4,D1,D2,D3,T1,L) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',load3) ).

fof(f2_nnf,plain,
    ! [L,O2,O3,O4,D1,D2,D3,T1] :
      ( s(truck2,O2,O3,O4,D1,D2,D3,T1,L)
      | ~ s(L,O2,O3,O4,D1,D2,D3,T1,L) ),
    inference(nnf_transformation,[status(thm)],[f2]) ).

fof(f2_sk,plain,
    ! [L,O2,O3,O4,D1,D2,D3,T1] :
      ( s(truck2,O2,O3,O4,D1,D2,D3,T1,L)
      | ~ s(L,O2,O3,O4,D1,D2,D3,T1,L) ),
    inference(skolemisation,[status(esa)],[f2_nnf]) ).

cnf(c2,plain,
    ( s(truck2,X1,X2,X3,X4,X5,X6,X7,X0)
    | ~ s(X0,X1,X2,X3,X4,X5,X6,X7,X0) ),
    inference(cnf_transformation,[status(esa)],[f2_sk]) ).

cnf(hi2,axiom,
    ifeq(s(X0,X1,X2,X3,X4,X5,X6,X7,X0),true,s(truck2,X1,X2,X3,X4,X5,X6,X7,X0),true) = true,
    inference(equality_encoding,[status(esa)],[c2]) ).

cnf(h54,plain,
    s(truck2,s0,s2,s0,truck2,s2,s2,s0,s1) = true,
    inference(hyper_resolution,[status(thm)],[hi2,h6]) ).

cnf(f29,axiom,
    ( s(O1,O2,O3,O4,truck2,D2,D3,T1,D)
    | ~ link(S,D)
    | ~ s(O1,O2,O3,O4,truck2,D2,D3,T1,S) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',drive2) ).

fof(f29_nnf,plain,
    ! [O1,O2,O3,O4,D2,D3,T1,S,D] :
      ( s(O1,O2,O3,O4,truck2,D2,D3,T1,D)
      | ~ link(S,D)
      | ~ s(O1,O2,O3,O4,truck2,D2,D3,T1,S) ),
    inference(nnf_transformation,[status(thm)],[f29]) ).

fof(f29_sk,plain,
    ! [O1,O2,O3,O4,D2,D3,T1,S,D] :
      ( s(O1,O2,O3,O4,truck2,D2,D3,T1,D)
      | ~ link(S,D)
      | ~ s(O1,O2,O3,O4,truck2,D2,D3,T1,S) ),
    inference(skolemisation,[status(esa)],[f29_nnf]) ).

cnf(c29,plain,
    ( s(X0,X1,X2,X3,truck2,X4,X5,X6,X8)
    | ~ link(X7,X8)
    | ~ s(X0,X1,X2,X3,truck2,X4,X5,X6,X7) ),
    inference(cnf_transformation,[status(esa)],[f29_sk]) ).

cnf(hi29,axiom,
    ifeq(s(X0,X1,X2,X3,truck2,X4,X5,X6,X7),true,ifeq(link(X7,X8),true,s(X0,X1,X2,X3,truck2,X4,X5,X6,X8),true),true) = true,
    inference(equality_encoding,[status(esa)],[c29]) ).

cnf(f132,axiom,
    link(s1,s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',map15) ).

fof(f132_nnf,plain,
    link(s1,s0),
    inference(nnf_transformation,[status(thm)],[f132]) ).

cnf(c132,plain,
    link(s1,s0),
    inference(cnf_transformation,[status(esa)],[f132_nnf]) ).

cnf(hi123,axiom,
    link(s1,s0) = true,
    inference(equality_encoding,[status(esa)],[c132]) ).

cnf(h211,plain,
    s(truck2,s0,s2,s0,truck2,s2,s2,s0,s0) = true,
    inference(hyper_resolution,[status(thm)],[hi29,h54,hi123]) ).

cnf(f14,axiom,
    ( s(O1,O2,O3,truck2,D1,D2,D3,T1,L)
    | ~ s(O1,O2,O3,L,D1,D2,D3,T1,L) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',load15) ).

fof(f14_nnf,plain,
    ! [O1,O2,O3,L,D1,D2,D3,T1] :
      ( s(O1,O2,O3,truck2,D1,D2,D3,T1,L)
      | ~ s(O1,O2,O3,L,D1,D2,D3,T1,L) ),
    inference(nnf_transformation,[status(thm)],[f14]) ).

fof(f14_sk,plain,
    ! [O1,O2,O3,L,D1,D2,D3,T1] :
      ( s(O1,O2,O3,truck2,D1,D2,D3,T1,L)
      | ~ s(O1,O2,O3,L,D1,D2,D3,T1,L) ),
    inference(skolemisation,[status(esa)],[f14_nnf]) ).

cnf(c14,plain,
    ( s(X0,X1,X2,truck2,X4,X5,X6,X7,X3)
    | ~ s(X0,X1,X2,X3,X4,X5,X6,X7,X3) ),
    inference(cnf_transformation,[status(esa)],[f14_sk]) ).

cnf(hi14,axiom,
    ifeq(s(X0,X1,X2,X3,X4,X5,X6,X7,X3),true,s(X0,X1,X2,truck2,X4,X5,X6,X7,X3),true) = true,
    inference(equality_encoding,[status(esa)],[c14]) ).

cnf(h615,plain,
    s(truck2,s0,s2,truck2,truck2,s2,s2,s0,s0) = true,
    inference(hyper_resolution,[status(thm)],[hi14,h211]) ).

cnf(f3,axiom,
    ( ~ s(truck2,O2,O3,O4,D1,D2,D3,T1,L)
    | s(L,O2,O3,O4,D1,D2,D3,T1,L) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',load4) ).

fof(f3_nnf,plain,
    ! [L,O2,O3,O4,D1,D2,D3,T1] :
      ( ~ s(truck2,O2,O3,O4,D1,D2,D3,T1,L)
      | s(L,O2,O3,O4,D1,D2,D3,T1,L) ),
    inference(nnf_transformation,[status(thm)],[f3]) ).

fof(f3_sk,plain,
    ! [L,O2,O3,O4,D1,D2,D3,T1] :
      ( ~ s(truck2,O2,O3,O4,D1,D2,D3,T1,L)
      | s(L,O2,O3,O4,D1,D2,D3,T1,L) ),
    inference(skolemisation,[status(esa)],[f3_nnf]) ).

cnf(c3,plain,
    ( ~ s(truck2,X1,X2,X3,X4,X5,X6,X7,X0)
    | s(X0,X1,X2,X3,X4,X5,X6,X7,X0) ),
    inference(cnf_transformation,[status(esa)],[f3_sk]) ).

cnf(hi3,axiom,
    ifeq(s(truck2,X0,X1,X2,X3,X4,X5,X6,X7),true,s(X7,X0,X1,X2,X3,X4,X5,X6,X7),true) = true,
    inference(equality_encoding,[status(esa)],[c3]) ).

cnf(h1580,plain,
    s(s0,s0,s2,truck2,truck2,s2,s2,s0,s0) = true,
    inference(hyper_resolution,[status(thm)],[hi3,h615]) ).

cnf(f130,axiom,
    link(s0,s2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',map13) ).

fof(f130_nnf,plain,
    link(s0,s2),
    inference(nnf_transformation,[status(thm)],[f130]) ).

cnf(c130,plain,
    link(s0,s2),
    inference(cnf_transformation,[status(esa)],[f130_nnf]) ).

cnf(hi121,axiom,
    link(s0,s2) = true,
    inference(equality_encoding,[status(esa)],[c130]) ).

cnf(h3839,plain,
    s(s0,s0,s2,truck2,truck2,s2,s2,s0,s2) = true,
    inference(hyper_resolution,[status(thm)],[hi29,h1580,hi121]) ).

cnf(f19,axiom,
    ( ~ s(O1,O2,O3,O4,truck2,D2,D3,T1,L)
    | s(O1,O2,O3,O4,L,D2,D3,T1,L) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',board4) ).

fof(f19_nnf,plain,
    ! [O1,O2,O3,O4,L,D2,D3,T1] :
      ( ~ s(O1,O2,O3,O4,truck2,D2,D3,T1,L)
      | s(O1,O2,O3,O4,L,D2,D3,T1,L) ),
    inference(nnf_transformation,[status(thm)],[f19]) ).

fof(f19_sk,plain,
    ! [O1,O2,O3,O4,L,D2,D3,T1] :
      ( ~ s(O1,O2,O3,O4,truck2,D2,D3,T1,L)
      | s(O1,O2,O3,O4,L,D2,D3,T1,L) ),
    inference(skolemisation,[status(esa)],[f19_nnf]) ).

cnf(c19,plain,
    ( ~ s(X0,X1,X2,X3,truck2,X5,X6,X7,X4)
    | s(X0,X1,X2,X3,X4,X5,X6,X7,X4) ),
    inference(cnf_transformation,[status(esa)],[f19_sk]) ).

cnf(hi19,axiom,
    ifeq(s(X0,X1,X2,X3,truck2,X4,X5,X6,X7),true,s(X0,X1,X2,X3,X7,X4,X5,X6,X7),true) = true,
    inference(equality_encoding,[status(esa)],[c19]) ).

cnf(h9112,plain,
    s(s0,s0,s2,truck2,s2,s2,s2,s0,s2) = true,
    inference(hyper_resolution,[status(thm)],[hi19,h3839]) ).

cnf(f26,axiom,
    ( s(O1,O2,O3,O4,D1,D2,truck2,T1,L)
    | ~ neq(D2,truck2)
    | ~ neq(D1,truck2)
    | ~ s(O1,O2,O3,O4,D1,D2,L,T1,L) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',board11) ).

fof(f26_nnf,plain,
    ! [O1,O2,O3,O4,D1,D2,L,T1] :
      ( s(O1,O2,O3,O4,D1,D2,truck2,T1,L)
      | ~ neq(D2,truck2)
      | ~ neq(D1,truck2)
      | ~ s(O1,O2,O3,O4,D1,D2,L,T1,L) ),
    inference(nnf_transformation,[status(thm)],[f26]) ).

fof(f26_sk,plain,
    ! [O1,O2,O3,O4,D1,D2,L,T1] :
      ( s(O1,O2,O3,O4,D1,D2,truck2,T1,L)
      | ~ neq(D2,truck2)
      | ~ neq(D1,truck2)
      | ~ s(O1,O2,O3,O4,D1,D2,L,T1,L) ),
    inference(skolemisation,[status(esa)],[f26_nnf]) ).

cnf(c26,plain,
    ( s(X0,X1,X2,X3,X4,X5,truck2,X7,X6)
    | ~ neq(X5,truck2)
    | ~ neq(X4,truck2)
    | ~ s(X0,X1,X2,X3,X4,X5,X6,X7,X6) ),
    inference(cnf_transformation,[status(esa)],[f26_sk]) ).

cnf(hi26,axiom,
    ifeq(s(X0,X1,X2,X3,X4,X5,X6,X7,X6),true,ifeq(neq(X4,truck2),true,ifeq(neq(X5,truck2),true,s(X0,X1,X2,X3,X4,X5,truck2,X7,X6),true),true),true) = true,
    inference(equality_encoding,[status(esa)],[c26]) ).

cnf(h21145,plain,
    s(s0,s0,s2,truck2,s2,s2,truck2,s0,s2) = true,
    inference(hyper_resolution,[status(thm)],[hi26,h9112,hi70,hi70]) ).

cnf(f15,axiom,
    ( ~ s(O1,O2,O3,truck2,D1,D2,D3,T1,L)
    | s(O1,O2,O3,L,D1,D2,D3,T1,L) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',load16) ).

fof(f15_nnf,plain,
    ! [O1,O2,O3,L,D1,D2,D3,T1] :
      ( ~ s(O1,O2,O3,truck2,D1,D2,D3,T1,L)
      | s(O1,O2,O3,L,D1,D2,D3,T1,L) ),
    inference(nnf_transformation,[status(thm)],[f15]) ).

fof(f15_sk,plain,
    ! [O1,O2,O3,L,D1,D2,D3,T1] :
      ( ~ s(O1,O2,O3,truck2,D1,D2,D3,T1,L)
      | s(O1,O2,O3,L,D1,D2,D3,T1,L) ),
    inference(skolemisation,[status(esa)],[f15_nnf]) ).

cnf(c15,plain,
    ( ~ s(X0,X1,X2,truck2,X4,X5,X6,X7,X3)
    | s(X0,X1,X2,X3,X4,X5,X6,X7,X3) ),
    inference(cnf_transformation,[status(esa)],[f15_sk]) ).

cnf(hi15,axiom,
    ifeq(s(X0,X1,X2,truck2,X3,X4,X5,X6,X7),true,s(X0,X1,X2,X7,X3,X4,X5,X6,X7),true) = true,
    inference(equality_encoding,[status(esa)],[c15]) ).

cnf(h47146,plain,
    s(s0,s0,s2,s2,s2,s2,truck2,s0,s2) = true,
    inference(hyper_resolution,[status(thm)],[hi15,h21145]) ).

cnf(f10,axiom,
    ( s(O1,O2,truck2,O4,D1,D2,D3,T1,L)
    | ~ s(O1,O2,L,O4,D1,D2,D3,T1,L) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',load11) ).

fof(f10_nnf,plain,
    ! [O1,O2,L,O4,D1,D2,D3,T1] :
      ( s(O1,O2,truck2,O4,D1,D2,D3,T1,L)
      | ~ s(O1,O2,L,O4,D1,D2,D3,T1,L) ),
    inference(nnf_transformation,[status(thm)],[f10]) ).

fof(f10_sk,plain,
    ! [O1,O2,L,O4,D1,D2,D3,T1] :
      ( s(O1,O2,truck2,O4,D1,D2,D3,T1,L)
      | ~ s(O1,O2,L,O4,D1,D2,D3,T1,L) ),
    inference(skolemisation,[status(esa)],[f10_nnf]) ).

cnf(c10,plain,
    ( s(X0,X1,truck2,X3,X4,X5,X6,X7,X2)
    | ~ s(X0,X1,X2,X3,X4,X5,X6,X7,X2) ),
    inference(cnf_transformation,[status(esa)],[f10_sk]) ).

cnf(hi10,axiom,
    ifeq(s(X0,X1,X2,X3,X4,X5,X6,X7,X2),true,s(X0,X1,truck2,X3,X4,X5,X6,X7,X2),true) = true,
    inference(equality_encoding,[status(esa)],[c10]) ).

cnf(h99044,plain,
    s(s0,s0,truck2,s2,s2,s2,truck2,s0,s2) = true,
    inference(hyper_resolution,[status(thm)],[hi10,h47146]) ).

cnf(f33,axiom,
    ( s(O1,O2,O3,O4,D1,D2,truck2,T1,D)
    | ~ link(S,D)
    | ~ s(O1,O2,O3,O4,D1,D2,truck2,T1,S) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',drive6) ).

fof(f33_nnf,plain,
    ! [O1,O2,O3,O4,D1,D2,T1,S,D] :
      ( s(O1,O2,O3,O4,D1,D2,truck2,T1,D)
      | ~ link(S,D)
      | ~ s(O1,O2,O3,O4,D1,D2,truck2,T1,S) ),
    inference(nnf_transformation,[status(thm)],[f33]) ).

fof(f33_sk,plain,
    ! [O1,O2,O3,O4,D1,D2,T1,S,D] :
      ( s(O1,O2,O3,O4,D1,D2,truck2,T1,D)
      | ~ link(S,D)
      | ~ s(O1,O2,O3,O4,D1,D2,truck2,T1,S) ),
    inference(skolemisation,[status(esa)],[f33_nnf]) ).

cnf(c33,plain,
    ( s(X0,X1,X2,X3,X4,X5,truck2,X6,X8)
    | ~ link(X7,X8)
    | ~ s(X0,X1,X2,X3,X4,X5,truck2,X6,X7) ),
    inference(cnf_transformation,[status(esa)],[f33_sk]) ).

cnf(hi33,axiom,
    ifeq(s(X0,X1,X2,X3,X4,X5,truck2,X6,X7),true,ifeq(link(X7,X8),true,s(X0,X1,X2,X3,X4,X5,truck2,X6,X8),true),true) = true,
    inference(equality_encoding,[status(esa)],[c33]) ).

cnf(f134,axiom,
    link(s2,s1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',map17) ).

fof(f134_nnf,plain,
    link(s2,s1),
    inference(nnf_transformation,[status(thm)],[f134]) ).

cnf(c134,plain,
    link(s2,s1),
    inference(cnf_transformation,[status(esa)],[f134_nnf]) ).

cnf(hi125,axiom,
    link(s2,s1) = true,
    inference(equality_encoding,[status(esa)],[c134]) ).

cnf(h193521,plain,
    s(s0,s0,truck2,s2,s2,s2,truck2,s0,s1) = true,
    inference(hyper_resolution,[status(thm)],[hi33,h99044,hi125]) ).

cnf(f11,axiom,
    ( ~ s(O1,O2,truck2,O4,D1,D2,D3,T1,L)
    | s(O1,O2,L,O4,D1,D2,D3,T1,L) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',load12) ).

fof(f11_nnf,plain,
    ! [O1,O2,L,O4,D1,D2,D3,T1] :
      ( ~ s(O1,O2,truck2,O4,D1,D2,D3,T1,L)
      | s(O1,O2,L,O4,D1,D2,D3,T1,L) ),
    inference(nnf_transformation,[status(thm)],[f11]) ).

fof(f11_sk,plain,
    ! [O1,O2,L,O4,D1,D2,D3,T1] :
      ( ~ s(O1,O2,truck2,O4,D1,D2,D3,T1,L)
      | s(O1,O2,L,O4,D1,D2,D3,T1,L) ),
    inference(skolemisation,[status(esa)],[f11_nnf]) ).

cnf(c11,plain,
    ( ~ s(X0,X1,truck2,X3,X4,X5,X6,X7,X2)
    | s(X0,X1,X2,X3,X4,X5,X6,X7,X2) ),
    inference(cnf_transformation,[status(esa)],[f11_sk]) ).

cnf(hi11,axiom,
    ifeq(s(X0,X1,truck2,X2,X3,X4,X5,X6,X7),true,s(X0,X1,X7,X2,X3,X4,X5,X6,X7),true) = true,
    inference(equality_encoding,[status(esa)],[c11]) ).

cnf(h349320,plain,
    s(s0,s0,s1,s2,s2,s2,truck2,s0,s1) = true,
    inference(hyper_resolution,[status(thm)],[hi11,h193521]) ).

cnf(f137,negated_conjecture,
    ~ s(s0,s0,s1,s2,s2,X6,X7,s0,s1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

fof(f137_nnf,plain,
    ! [X6,X7] : ~ s(s0,s0,s1,s2,s2,X6,X7,s0,s1),
    inference(nnf_transformation,[status(thm)],[f137]) ).

fof(f137_sk,plain,
    ! [X6,X7] : ~ s(s0,s0,s1,s2,s2,X6,X7,s0,s1),
    inference(skolemisation,[status(esa)],[f137_nnf]) ).

cnf(c137,plain,
    ~ s(s0,s0,s1,s2,s2,X0,X1,s0,s1),
    inference(cnf_transformation,[status(esa)],[f137_sk]) ).

cnf(hi137,negated_conjecture,
    ifeq(s(s0,s0,s1,s2,s2,X0,X1,s0,s1),true,false,true) = true,
    inference(equality_encoding,[status(esa)],[c137]) ).

cnf(t0,plain,
    true = false,
    inference(hyper_resolution,[status(thm)],[hi137,h349320]) ).

cnf(t2687,plain,
    false = true,
    inference(orient,[status(thm)],[t0]) ).

cnf(f37,axiom,
    ~ neq(truck1,truck1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq1) ).

fof(f37_nnf,plain,
    ~ neq(truck1,truck1),
    inference(nnf_transformation,[status(thm)],[f37]) ).

fof(f37_sk,plain,
    ~ neq(truck1,truck1),
    inference(skolemisation,[status(esa)],[f37_nnf]) ).

cnf(c37,plain,
    ~ neq(truck1,truck1),
    inference(cnf_transformation,[status(esa)],[f37_sk]) ).

cnf(f47,axiom,
    ~ neq(truck2,truck2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq11) ).

fof(f47_nnf,plain,
    ~ neq(truck2,truck2),
    inference(nnf_transformation,[status(thm)],[f47]) ).

fof(f47_sk,plain,
    ~ neq(truck2,truck2),
    inference(skolemisation,[status(esa)],[f47_nnf]) ).

cnf(c47,plain,
    ~ neq(truck2,truck2),
    inference(cnf_transformation,[status(esa)],[f47_sk]) ).

cnf(f57,axiom,
    ~ neq(s0,s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq21) ).

fof(f57_nnf,plain,
    ~ neq(s0,s0),
    inference(nnf_transformation,[status(thm)],[f57]) ).

fof(f57_sk,plain,
    ~ neq(s0,s0),
    inference(skolemisation,[status(esa)],[f57_nnf]) ).

cnf(c57,plain,
    ~ neq(s0,s0),
    inference(cnf_transformation,[status(esa)],[f57_sk]) ).

cnf(f67,axiom,
    ~ neq(s1,s1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq31) ).

fof(f67_nnf,plain,
    ~ neq(s1,s1),
    inference(nnf_transformation,[status(thm)],[f67]) ).

fof(f67_sk,plain,
    ~ neq(s1,s1),
    inference(skolemisation,[status(esa)],[f67_nnf]) ).

cnf(c67,plain,
    ~ neq(s1,s1),
    inference(cnf_transformation,[status(esa)],[f67_sk]) ).

cnf(f77,axiom,
    ~ neq(s2,s2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq41) ).

fof(f77_nnf,plain,
    ~ neq(s2,s2),
    inference(nnf_transformation,[status(thm)],[f77]) ).

fof(f77_sk,plain,
    ~ neq(s2,s2),
    inference(skolemisation,[status(esa)],[f77_nnf]) ).

cnf(c77,plain,
    ~ neq(s2,s2),
    inference(cnf_transformation,[status(esa)],[f77_sk]) ).

cnf(f87,axiom,
    ~ neq(p0_1,p0_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq51) ).

fof(f87_nnf,plain,
    ~ neq(p0_1,p0_1),
    inference(nnf_transformation,[status(thm)],[f87]) ).

fof(f87_sk,plain,
    ~ neq(p0_1,p0_1),
    inference(skolemisation,[status(esa)],[f87_nnf]) ).

cnf(c87,plain,
    ~ neq(p0_1,p0_1),
    inference(cnf_transformation,[status(esa)],[f87_sk]) ).

cnf(f97,axiom,
    ~ neq(p1_2,p1_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq61) ).

fof(f97_nnf,plain,
    ~ neq(p1_2,p1_2),
    inference(nnf_transformation,[status(thm)],[f97]) ).

fof(f97_sk,plain,
    ~ neq(p1_2,p1_2),
    inference(skolemisation,[status(esa)],[f97_nnf]) ).

cnf(c97,plain,
    ~ neq(p1_2,p1_2),
    inference(cnf_transformation,[status(esa)],[f97_sk]) ).

cnf(f107,axiom,
    ~ neq(p2_0,p2_0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq71) ).

fof(f107_nnf,plain,
    ~ neq(p2_0,p2_0),
    inference(nnf_transformation,[status(thm)],[f107]) ).

fof(f107_sk,plain,
    ~ neq(p2_0,p2_0),
    inference(skolemisation,[status(esa)],[f107_nnf]) ).

cnf(c107,plain,
    ~ neq(p2_0,p2_0),
    inference(cnf_transformation,[status(esa)],[f107_sk]) ).

cnf(f117,axiom,
    ~ neq(p2_1,p2_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq81) ).

fof(f117_nnf,plain,
    ~ neq(p2_1,p2_1),
    inference(nnf_transformation,[status(thm)],[f117]) ).

fof(f117_sk,plain,
    ~ neq(p2_1,p2_1),
    inference(skolemisation,[status(esa)],[f117_nnf]) ).

cnf(c117,plain,
    ~ neq(p2_1,p2_1),
    inference(cnf_transformation,[status(esa)],[f117_sk]) ).

cnf(goal_0,negated_conjecture,
    true != false,
    inference(equality_encoding,[status(esa)],[c37,c47,c57,c67,c77,c87,c97,c107,c117,c137]) ).

cnf(g0_0,plain,
    true != true,
    inference(rw,[status(thm)],[goal_0,t2687]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PLA031-1.004 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37  % Computer : n018.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % 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 06:17:33 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 249.85/36.63  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 249.85/36.63  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------