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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : PLA031-1.002 : TPTP v9.3.1. Released v3.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n011.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 02:31:02 PM UTC 2026

% Result   : Unsatisfiable 15.96s 3.26s
% Output   : CNFRefutation 15.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   85
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  148 (  81 unt;   0 def)
%            Number of atoms       :  226 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  160 (  82   ~;  78   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-7 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :  198 (   0 sgn 198   !;   0   ?; 119   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( s(truck2,X1,X2,X3,X4,X5,X0)
      | ~ s(X0,X1,X2,X3,X4,X5,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',load3) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ s(truck2,X1,X2,X3,X4,X5,X0)
      | s(X0,X1,X2,X3,X4,X5,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',load4) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( s(X0,truck2,X2,X3,X4,X5,X1)
      | ~ s(X0,X1,X2,X3,X4,X5,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',load7) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ s(X0,truck2,X2,X3,X4,X5,X1)
      | s(X0,X1,X2,X3,X4,X5,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',load8) ).

fof(f11,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( s(X0,X1,truck2,X3,X4,X5,X2)
      | ~ s(X0,X1,X2,X3,X4,X5,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',load11) ).

fof(f12,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ s(X0,X1,truck2,X3,X4,X5,X2)
      | s(X0,X1,X2,X3,X4,X5,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',load12) ).

fof(f17,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( s(X0,X1,X2,X3,truck1,X4,X5)
      | ~ neq(X3,truck1)
      | ~ s(X0,X1,X2,X3,X4,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',board5) ).

fof(f19,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( s(X0,X1,X2,X3,truck2,X5,X4)
      | ~ neq(X3,truck2)
      | ~ s(X0,X1,X2,X3,X4,X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',board7) ).

fof(f20,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ s(X0,X1,X2,X3,truck2,X5,X4)
      | s(X0,X1,X2,X3,X4,X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',board8) ).

fof(f24,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( s(X0,X1,X2,X3,truck2,X4,X6)
      | ~ link(X5,X6)
      | ~ s(X0,X1,X2,X3,truck2,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',drive4) ).

fof(f25,axiom,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( s(X0,X1,X2,X7,X4,X5,X6)
      | ~ path(X3,X7)
      | ~ s(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',walk1) ).

fof(f26,axiom,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( s(X0,X1,X2,X3,X7,X5,X6)
      | ~ path(X4,X7)
      | ~ s(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',walk2) ).

fof(f42,axiom,
    neq(s0,truck2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq16) ).

fof(f55,axiom,
    neq(s2,truck1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq29) ).

fof(f76,axiom,
    path(s1,p1_0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',map1) ).

fof(f77,axiom,
    path(p1_0,s1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',map2) ).

fof(f78,axiom,
    path(s0,p1_0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',map3) ).

fof(f79,axiom,
    path(p1_0,s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',map4) ).

fof(f80,axiom,
    path(s2,p2_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',map5) ).

fof(f81,axiom,
    path(p2_1,s2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',map6) ).

fof(f82,axiom,
    path(s1,p2_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',map7) ).

fof(f83,axiom,
    path(p2_1,s1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',map8) ).

fof(f84,axiom,
    link(s0,s1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',map9) ).

fof(f86,axiom,
    link(s1,s2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',map11) ).

fof(f87,axiom,
    link(s2,s1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',map12) ).

fof(f88,axiom,
    link(s2,s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',map13) ).

fof(f89,axiom,
    link(s0,s2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',map14) ).

fof(f90,axiom,
    s(s1,s1,s1,s1,s1,s2,s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',init) ).

fof(f91,negated_conjecture,
    ! [X0,X1] : ~ s(s0,s0,s2,s2,X0,s2,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

tcf(c_142,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( s(truck2,X1,X2,X3,X4,X5,X0)
      | ~ s(X0,X1,X2,X3,X4,X5,X0) ),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_143,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( s(X5,X0,X1,X2,X3,X4,X5)
      | ~ s(truck2,X0,X1,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_146,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( s(X0,truck2,X2,X3,X4,X5,X1)
      | ~ s(X0,X1,X2,X3,X4,X5,X1) ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_147,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( s(X0,X5,X1,X2,X3,X4,X5)
      | ~ s(X0,truck2,X1,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_150,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( s(X0,X1,truck2,X3,X4,X5,X2)
      | ~ s(X0,X1,X2,X3,X4,X5,X2) ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_151,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( s(X0,X1,X5,X2,X3,X4,X5)
      | ~ s(X0,X1,truck2,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_156,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( s(X0,X1,X2,X3,truck1,X4,X5)
      | ~ neq(X3,truck1)
      | ~ s(X0,X1,X2,X3,X4,X4,X5) ),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_158,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( s(X0,X1,X2,X3,truck2,X5,X4)
      | ~ neq(X3,truck2)
      | ~ s(X0,X1,X2,X3,X4,X5,X4) ),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_159,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( s(X0,X1,X2,X3,X5,X4,X5)
      | ~ s(X0,X1,X2,X3,truck2,X4,X5) ),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_163,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( s(X0,X1,X2,X3,truck2,X4,X6)
      | ~ link(X5,X6)
      | ~ s(X0,X1,X2,X3,truck2,X4,X5) ),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_164,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( s(X0,X1,X2,X7,X4,X5,X6)
      | ~ path(X3,X7)
      | ~ s(X0,X1,X2,X3,X4,X5,X6) ),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_165,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( s(X0,X1,X2,X3,X7,X5,X6)
      | ~ path(X4,X7)
      | ~ s(X0,X1,X2,X3,X4,X5,X6) ),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_181,plain,
    neq(s0,truck2),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_194,plain,
    neq(s2,truck1),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_215,plain,
    path(s1,p1_0),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_216,plain,
    path(p1_0,s1),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_217,plain,
    path(s0,p1_0),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_218,plain,
    path(p1_0,s0),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_219,plain,
    path(s2,p2_1),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_220,plain,
    path(p2_1,s2),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_221,plain,
    path(s1,p2_1),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_222,plain,
    path(p2_1,s1),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_223,plain,
    link(s0,s1),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_225,plain,
    link(s1,s2),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_226,plain,
    link(s2,s1),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_227,plain,
    link(s2,s0),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_228,plain,
    link(s0,s2),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_229,plain,
    s(s1,s1,s1,s1,s1,s2,s0),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_230,negated_conjecture,
    ! [X0: $i,X1: $i] : ~ s(s0,s0,s2,s2,X0,s2,X1),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_2036,plain,
    ! [X0: $i] :
      ( s(s1,s1,s1,s1,X0,s2,s0)
      | ~ path(s1,X0) ),
    inference(resolution,[status(thm)],[c_165,c_229]) ).

tcf(c_2356,plain,
    s(s1,s1,s1,s1,p1_0,s2,s0),
    inference(resolution,[status(thm)],[c_215,c_2036]) ).

tcf(c_2383,plain,
    ! [X0: $i] :
      ( s(s1,s1,s1,s1,X0,s2,s0)
      | ~ path(p1_0,X0) ),
    inference(resolution,[status(thm)],[c_2356,c_165]) ).

tcf(c_2396,plain,
    s(s1,s1,s1,s1,s0,s2,s0),
    inference(resolution,[status(thm)],[c_2383,c_218]) ).

tcf(c_2402,plain,
    ! [X0: $i] :
      ( s(s1,s1,s1,X0,s0,s2,s0)
      | ~ path(s1,X0) ),
    inference(resolution,[status(thm)],[c_2396,c_164]) ).

tcf(c_2416,plain,
    s(s1,s1,s1,p1_0,s0,s2,s0),
    inference(resolution,[status(thm)],[c_2402,c_215]) ).

tcf(c_2461,plain,
    ! [X0: $i] :
      ( s(s1,s1,s1,p1_0,X0,s2,s0)
      | ~ path(s0,X0) ),
    inference(resolution,[status(thm)],[c_2416,c_165]) ).

tcf(c_2483,plain,
    s(s1,s1,s1,p1_0,p1_0,s2,s0),
    inference(resolution,[status(thm)],[c_2461,c_217]) ).

tcf(c_2485,plain,
    ! [X0: $i] :
      ( s(s1,s1,s1,X0,p1_0,s2,s0)
      | ~ path(p1_0,X0) ),
    inference(resolution,[status(thm)],[c_2483,c_164]) ).

tcf(c_2506,plain,
    s(s1,s1,s1,s0,p1_0,s2,s0),
    inference(resolution,[status(thm)],[c_2485,c_218]) ).

tcf(c_2511,plain,
    ! [X0: $i] :
      ( s(s1,s1,s1,s0,X0,s2,s0)
      | ~ path(p1_0,X0) ),
    inference(resolution,[status(thm)],[c_2506,c_165]) ).

tcf(c_2535,plain,
    s(s1,s1,s1,s0,s0,s2,s0),
    inference(resolution,[status(thm)],[c_2511,c_218]) ).

tcf(c_3104,plain,
    ( s(s1,s1,s1,s0,truck2,s2,s0)
    | ~ neq(s0,truck2) ),
    inference(resolution,[status(thm)],[c_158,c_2535]) ).

tcf(c_3249,plain,
    s(s1,s1,s1,s0,truck2,s2,s0),
    inference(global_subsumption_just,[status(thm)],[c_3104,c_181,c_3104]) ).

tcf(c_3355,plain,
    ! [X0: $i] :
      ( s(s1,s1,s1,s0,truck2,s2,X0)
      | ~ link(s0,X0) ),
    inference(resolution,[status(thm)],[c_163,c_3249]) ).

tcf(c_3405,plain,
    s(s1,s1,s1,s0,truck2,s2,s2),
    inference(resolution,[status(thm)],[c_3355,c_228]) ).

tcf(c_3414,plain,
    ! [X0: $i] :
      ( s(s1,s1,s1,X0,truck2,s2,s2)
      | ~ path(s0,X0) ),
    inference(resolution,[status(thm)],[c_3405,c_164]) ).

tcf(c_3447,plain,
    s(s1,s1,s1,p1_0,truck2,s2,s2),
    inference(resolution,[status(thm)],[c_3414,c_217]) ).

tcf(c_3457,plain,
    ! [X0: $i] :
      ( s(s1,s1,s1,X0,truck2,s2,s2)
      | ~ path(p1_0,X0) ),
    inference(resolution,[status(thm)],[c_3447,c_164]) ).

tcf(c_3490,plain,
    s(s1,s1,s1,s1,truck2,s2,s2),
    inference(resolution,[status(thm)],[c_3457,c_216]) ).

tcf(c_3500,plain,
    ! [X0: $i] :
      ( s(s1,s1,s1,X0,truck2,s2,s2)
      | ~ path(s1,X0) ),
    inference(resolution,[status(thm)],[c_3490,c_164]) ).

tcf(c_3536,plain,
    s(s1,s1,s1,p2_1,truck2,s2,s2),
    inference(resolution,[status(thm)],[c_3500,c_221]) ).

tcf(c_3547,plain,
    ! [X0: $i] :
      ( s(s1,s1,s1,X0,truck2,s2,s2)
      | ~ path(p2_1,X0) ),
    inference(resolution,[status(thm)],[c_3536,c_164]) ).

tcf(c_3605,plain,
    s(s1,s1,s1,s2,truck2,s2,s2),
    inference(resolution,[status(thm)],[c_3547,c_220]) ).

tcf(c_3607,plain,
    ! [X0: $i] :
      ( s(s1,s1,s1,s2,truck2,s2,X0)
      | ~ link(s2,X0) ),
    inference(resolution,[status(thm)],[c_3605,c_163]) ).

tcf(c_3671,plain,
    s(s1,s1,s1,s2,truck2,s2,s1),
    inference(resolution,[status(thm)],[c_3607,c_226]) ).

tcf(c_3679,plain,
    ! [X0: $i] :
      ( s(s1,s1,s1,X0,truck2,s2,s1)
      | ~ path(s2,X0) ),
    inference(resolution,[status(thm)],[c_3671,c_164]) ).

tcf(c_3724,plain,
    s(s1,s1,s1,p2_1,truck2,s2,s1),
    inference(resolution,[status(thm)],[c_3679,c_219]) ).

tcf(c_3736,plain,
    ! [X0: $i] :
      ( s(s1,s1,s1,X0,truck2,s2,s1)
      | ~ path(p2_1,X0) ),
    inference(resolution,[status(thm)],[c_3724,c_164]) ).

tcf(c_3784,plain,
    s(s1,s1,s1,s1,truck2,s2,s1),
    inference(resolution,[status(thm)],[c_3736,c_222]) ).

tcf(c_3797,plain,
    ! [X0: $i] :
      ( s(s1,s1,s1,X0,truck2,s2,s1)
      | ~ path(s1,X0) ),
    inference(resolution,[status(thm)],[c_3784,c_164]) ).

tcf(c_3860,plain,
    s(s1,s1,s1,p1_0,truck2,s2,s1),
    inference(resolution,[status(thm)],[c_3797,c_215]) ).

tcf(c_3864,plain,
    s(s1,s1,truck2,p1_0,truck2,s2,s1),
    inference(resolution,[status(thm)],[c_3860,c_150]) ).

tcf(c_3943,plain,
    ! [X0: $i] :
      ( s(s1,s1,truck2,X0,truck2,s2,s1)
      | ~ path(p1_0,X0) ),
    inference(resolution,[status(thm)],[c_3864,c_164]) ).

tcf(c_4001,plain,
    s(s1,s1,truck2,s0,truck2,s2,s1),
    inference(resolution,[status(thm)],[c_3943,c_218]) ).

tcf(c_4003,plain,
    s(s1,truck2,truck2,s0,truck2,s2,s1),
    inference(resolution,[status(thm)],[c_4001,c_146]) ).

tcf(c_4863,plain,
    ! [X0: $i] :
      ( s(s1,truck2,truck2,s0,truck2,s2,X0)
      | ~ link(s1,X0) ),
    inference(resolution,[status(thm)],[c_4003,c_163]) ).

tcf(c_4924,plain,
    s(s1,truck2,truck2,s0,truck2,s2,s2),
    inference(resolution,[status(thm)],[c_4863,c_225]) ).

tcf(c_4928,plain,
    ! [X0: $i] :
      ( s(s1,truck2,truck2,X0,truck2,s2,s2)
      | ~ path(s0,X0) ),
    inference(resolution,[status(thm)],[c_4924,c_164]) ).

tcf(c_4959,plain,
    s(s1,truck2,truck2,p1_0,truck2,s2,s2),
    inference(resolution,[status(thm)],[c_4928,c_217]) ).

tcf(c_4984,plain,
    ! [X0: $i] :
      ( s(s1,truck2,truck2,X0,truck2,s2,s2)
      | ~ path(p1_0,X0) ),
    inference(resolution,[status(thm)],[c_4959,c_164]) ).

tcf(c_5030,plain,
    s(s1,truck2,truck2,s1,truck2,s2,s2),
    inference(resolution,[status(thm)],[c_4984,c_216]) ).

tcf(c_5059,plain,
    ! [X0: $i] :
      ( s(s1,truck2,truck2,X0,truck2,s2,s2)
      | ~ path(s1,X0) ),
    inference(resolution,[status(thm)],[c_5030,c_164]) ).

tcf(c_5087,plain,
    s(s1,truck2,truck2,p2_1,truck2,s2,s2),
    inference(resolution,[status(thm)],[c_5059,c_221]) ).

tcf(c_5108,plain,
    ! [X0: $i] :
      ( s(s1,truck2,truck2,X0,truck2,s2,s2)
      | ~ path(p2_1,X0) ),
    inference(resolution,[status(thm)],[c_5087,c_164]) ).

tcf(c_5179,plain,
    s(s1,truck2,truck2,s2,truck2,s2,s2),
    inference(resolution,[status(thm)],[c_5108,c_220]) ).

tcf(c_5188,plain,
    ! [X0: $i] :
      ( s(s1,truck2,truck2,s2,truck2,s2,X0)
      | ~ link(s2,X0) ),
    inference(resolution,[status(thm)],[c_5179,c_163]) ).

tcf(c_5224,plain,
    s(s1,truck2,truck2,s2,truck2,s2,s0),
    inference(resolution,[status(thm)],[c_5188,c_227]) ).

tcf(c_5242,plain,
    ! [X0: $i] :
      ( s(s1,truck2,truck2,X0,truck2,s2,s0)
      | ~ path(s2,X0) ),
    inference(resolution,[status(thm)],[c_5224,c_164]) ).

tcf(c_5291,plain,
    s(s1,truck2,truck2,p2_1,truck2,s2,s0),
    inference(resolution,[status(thm)],[c_5242,c_219]) ).

tcf(c_5318,plain,
    ! [X0: $i] :
      ( s(s1,truck2,truck2,X0,truck2,s2,s0)
      | ~ path(p2_1,X0) ),
    inference(resolution,[status(thm)],[c_5291,c_164]) ).

tcf(c_5354,plain,
    s(s1,truck2,truck2,s1,truck2,s2,s0),
    inference(resolution,[status(thm)],[c_5318,c_222]) ).

tcf(c_5362,plain,
    ! [X0: $i] :
      ( s(s1,truck2,truck2,s1,truck2,s2,X0)
      | ~ link(s0,X0) ),
    inference(resolution,[status(thm)],[c_5354,c_163]) ).

tcf(c_5498,plain,
    s(s1,truck2,truck2,s1,truck2,s2,s1),
    inference(resolution,[status(thm)],[c_5362,c_223]) ).

tcf(c_5512,plain,
    ! [X0: $i] :
      ( s(s1,truck2,truck2,X0,truck2,s2,s1)
      | ~ path(s1,X0) ),
    inference(resolution,[status(thm)],[c_5498,c_164]) ).

tcf(c_5582,plain,
    s(s1,truck2,truck2,p2_1,truck2,s2,s1),
    inference(resolution,[status(thm)],[c_5512,c_221]) ).

tcf(c_5599,plain,
    s(truck2,truck2,truck2,p2_1,truck2,s2,s1),
    inference(resolution,[status(thm)],[c_5582,c_142]) ).

tcf(c_5675,plain,
    ! [X0: $i] :
      ( s(truck2,truck2,truck2,X0,truck2,s2,s1)
      | ~ path(p2_1,X0) ),
    inference(resolution,[status(thm)],[c_5599,c_164]) ).

tcf(c_5728,plain,
    s(truck2,truck2,truck2,s2,truck2,s2,s1),
    inference(resolution,[status(thm)],[c_5675,c_220]) ).

tcf(c_5733,plain,
    ! [X0: $i] :
      ( s(truck2,truck2,truck2,s2,truck2,s2,X0)
      | ~ link(s1,X0) ),
    inference(resolution,[status(thm)],[c_5728,c_163]) ).

tcf(c_5795,plain,
    s(truck2,truck2,truck2,s2,truck2,s2,s2),
    inference(resolution,[status(thm)],[c_5733,c_225]) ).

tcf(c_5823,plain,
    ! [X0: $i] :
      ( s(truck2,truck2,truck2,X0,truck2,s2,s2)
      | ~ path(s2,X0) ),
    inference(resolution,[status(thm)],[c_5795,c_164]) ).

tcf(c_5852,plain,
    s(truck2,truck2,truck2,p2_1,truck2,s2,s2),
    inference(resolution,[status(thm)],[c_5823,c_219]) ).

tcf(c_5888,plain,
    ! [X0: $i] :
      ( s(truck2,truck2,truck2,X0,truck2,s2,s2)
      | ~ path(p2_1,X0) ),
    inference(resolution,[status(thm)],[c_5852,c_164]) ).

tcf(c_5923,plain,
    s(truck2,truck2,truck2,s1,truck2,s2,s2),
    inference(resolution,[status(thm)],[c_5888,c_222]) ).

tcf(c_5927,plain,
    ! [X0: $i] :
      ( s(truck2,truck2,truck2,X0,truck2,s2,s2)
      | ~ path(s1,X0) ),
    inference(resolution,[status(thm)],[c_5923,c_164]) ).

tcf(c_5954,plain,
    s(truck2,truck2,truck2,p1_0,truck2,s2,s2),
    inference(resolution,[status(thm)],[c_5927,c_215]) ).

tcf(c_5968,plain,
    ! [X0: $i] :
      ( s(truck2,truck2,truck2,X0,truck2,s2,s2)
      | ~ path(p1_0,X0) ),
    inference(resolution,[status(thm)],[c_5954,c_164]) ).

tcf(c_5981,plain,
    s(truck2,truck2,truck2,s0,truck2,s2,s2),
    inference(resolution,[status(thm)],[c_5968,c_218]) ).

tcf(c_5989,plain,
    ! [X0: $i] :
      ( s(truck2,truck2,truck2,s0,truck2,s2,X0)
      | ~ link(s2,X0) ),
    inference(resolution,[status(thm)],[c_5981,c_163]) ).

tcf(c_6006,plain,
    s(truck2,truck2,truck2,s0,truck2,s2,s0),
    inference(resolution,[status(thm)],[c_5989,c_227]) ).

tcf(c_6010,plain,
    ! [X0: $i] :
      ( s(truck2,truck2,truck2,X0,truck2,s2,s0)
      | ~ path(s0,X0) ),
    inference(resolution,[status(thm)],[c_6006,c_164]) ).

tcf(c_6043,plain,
    s(truck2,truck2,truck2,p1_0,truck2,s2,s0),
    inference(resolution,[status(thm)],[c_6010,c_217]) ).

tcf(c_6047,plain,
    ! [X0: $i] :
      ( s(truck2,truck2,truck2,X0,truck2,s2,s0)
      | ~ path(p1_0,X0) ),
    inference(resolution,[status(thm)],[c_6043,c_164]) ).

tcf(c_6191,plain,
    s(truck2,truck2,truck2,s1,truck2,s2,s0),
    inference(resolution,[status(thm)],[c_6047,c_216]) ).

tcf(c_6200,plain,
    ! [X0: $i] :
      ( s(truck2,truck2,truck2,X0,truck2,s2,s0)
      | ~ path(s1,X0) ),
    inference(resolution,[status(thm)],[c_6191,c_164]) ).

tcf(c_6333,plain,
    s(truck2,truck2,truck2,p2_1,truck2,s2,s0),
    inference(resolution,[status(thm)],[c_6200,c_221]) ).

tcf(c_6901,plain,
    s(s0,truck2,truck2,p2_1,truck2,s2,s0),
    inference(resolution,[status(thm)],[c_143,c_6333]) ).

tcf(c_7047,plain,
    ! [X0: $i] :
      ( s(s0,s0,s2,s2,X0,s2,s2)
      | ~ s(s0,s0,truck2,s2,X0,s2,s2) ),
    inference(instantiation,[status(thm)],[c_151]) ).

tcf(c_7048,plain,
    ! [X0: $i] : ~ s(s0,s0,s2,s2,X0,s2,s2),
    inference(instantiation,[status(thm)],[c_230]) ).

tcf(c_7049,plain,
    ( s(s0,s0,s2,s2,truck1,s2,s2)
    | ~ s(s0,s0,truck2,s2,truck1,s2,s2) ),
    inference(instantiation,[status(thm)],[c_7047]) ).

tcf(c_7050,plain,
    ~ s(s0,s0,s2,s2,truck1,s2,s2),
    inference(instantiation,[status(thm)],[c_7048]) ).

tcf(c_9980,plain,
    s(s0,s0,truck2,p2_1,truck2,s2,s0),
    inference(resolution,[status(thm)],[c_147,c_6901]) ).

tcf(c_28809,plain,
    ! [X0: $i] :
      ( s(s0,s0,truck2,p2_1,truck2,s2,X0)
      | ~ link(s0,X0) ),
    inference(resolution,[status(thm)],[c_9980,c_163]) ).

tcf(c_28844,plain,
    s(s0,s0,truck2,p2_1,truck2,s2,s2),
    inference(resolution,[status(thm)],[c_28809,c_228]) ).

tcf(c_28848,plain,
    ! [X0: $i] :
      ( s(s0,s0,truck2,X0,truck2,s2,s2)
      | ~ path(p2_1,X0) ),
    inference(resolution,[status(thm)],[c_28844,c_164]) ).

tcf(c_29027,plain,
    s(s0,s0,truck2,s2,truck2,s2,s2),
    inference(resolution,[status(thm)],[c_28848,c_220]) ).

tcf(c_43853,plain,
    ( s(s0,s0,truck2,s2,truck1,s2,s2)
    | ~ neq(s2,truck1)
    | ~ s(s0,s0,truck2,s2,s2,s2,s2) ),
    inference(instantiation,[status(thm)],[c_156]) ).

tcf(c_44265,plain,
    ( s(s0,s0,truck2,s2,s2,s2,s2)
    | ~ s(s0,s0,truck2,s2,truck2,s2,s2) ),
    inference(instantiation,[status(thm)],[c_159]) ).

tcf(c_44266,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_44265,c_43853,c_29027,c_7050,c_7049,c_194]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PLA031-1.002 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38  % Computer : n011.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Thu Sep 24 06:14:28 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.42  Running EPR theorem proving
% 0.12/0.42  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.43  
% 0.12/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43  
% 0.12/0.43  % Detected problem language: tptp
% 0.12/0.45  % Proving...
% 15.96/3.26  % SZS status Started for theBenchmark.p
% 15.96/3.26  % SZS status Unsatisfiable for theBenchmark.p
% 15.96/3.26  
% 15.96/3.26  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 15.96/3.26  
% 15.96/3.26  % ------  iProver source info
% 15.96/3.26  
% 15.96/3.26  % git: date: 2026-07-19 20:42:38 +0200
% 15.96/3.26  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 15.96/3.26  % git: non_committed_changes: false
% 15.96/3.26  
% 15.96/3.26  % ------ Parsing...% successful
% 15.96/3.26  
% 15.96/3.26  
% 15.96/3.26  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 15.96/3.26  
% 15.96/3.26  % ------ Preprocessing... sf_s  rm: 37 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 15.96/3.26  
% 15.96/3.26  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 15.96/3.26  % ------ Proving...
% 15.96/3.26  % ------ Problem Properties 
% 15.96/3.26  
% 15.96/3.26  % 
% 15.96/3.26  % clauses                               54
% 15.96/3.26  % conjectures                           1
% 15.96/3.26  % EPR                                   54
% 15.96/3.26  % Horn                                  54
% 15.96/3.26  % unary                                 28
% 15.96/3.26  % binary                                16
% 15.96/3.26  % lits                                  90
% 15.96/3.26  % lits eq                               0
% 15.96/3.26  % fd_pure                               0
% 15.96/3.26  % fd_pseudo                             0
% 15.96/3.26  % fd_cond                               0
% 15.96/3.26  % fd_pseudo_cond                        0
% 15.96/3.26  % AC symbols                            0
% 15.96/3.26  
% 15.96/3.26  % ------ Input Options Time Limit: Unbounded
% 15.96/3.26  
% 15.96/3.26  
% 15.96/3.26  % ------ 
% 15.96/3.26  % Current options:
% 15.96/3.26  % ------ 
% 15.96/3.26  
% 15.96/3.26  
% 15.96/3.26  % 
% 15.96/3.26  
% 15.96/3.26  % ------ Proving...
% 15.96/3.26  % 
% 15.96/3.26  
% 15.96/3.26  % SZS status Unsatisfiable for theBenchmark.p
% 15.96/3.26  
% 15.96/3.26  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 15.96/3.26  
% 15.96/3.26  
%------------------------------------------------------------------------------