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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : PLA031-1.005 : 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 : n001.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 02:31:03 PM UTC 2026

% Result   : Unsatisfiable 169.58s 33.10s
% Output   : CNFRefutation 169.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  109 (  34 unt;   0 def)
%            Number of atoms       :  225 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  235 ( 119   ~; 116   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 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; 0-10 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :  381 (   0 sgn 381   !;   0   ?; 247   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( s(truck1,X1,X2,X3,X4,X5,X6,X7,X0,X8)
      | ~ s(X0,X1,X2,X3,X4,X5,X6,X7,X0,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',load1) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ s(truck1,X1,X2,X3,X4,X5,X6,X7,X0,X8)
      | s(X0,X1,X2,X3,X4,X5,X6,X7,X0,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',load2) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( s(truck2,X1,X2,X3,X4,X5,X6,X7,X8,X0)
      | ~ s(X0,X1,X2,X3,X4,X5,X6,X7,X8,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',load3) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ s(truck2,X1,X2,X3,X4,X5,X6,X7,X8,X0)
      | s(X0,X1,X2,X3,X4,X5,X6,X7,X8,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',load4) ).

fof(f13,axiom,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( s(X0,X1,X2,truck1,X4,X5,X6,X7,X3,X8)
      | ~ s(X0,X1,X2,X3,X4,X5,X6,X7,X3,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',load13) ).

fof(f14,axiom,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ s(X0,X1,X2,truck1,X4,X5,X6,X7,X3,X8)
      | s(X0,X1,X2,X3,X4,X5,X6,X7,X3,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',load14) ).

fof(f17,axiom,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( s(X0,X1,X2,X3,truck1,X5,X6,X7,X4,X8)
      | ~ s(X0,X1,X2,X3,X4,X5,X6,X7,X4,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',load17) ).

fof(f18,axiom,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ s(X0,X1,X2,X3,truck1,X5,X6,X7,X4,X8)
      | s(X0,X1,X2,X3,X4,X5,X6,X7,X4,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',load18) ).

fof(f21,axiom,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( s(X0,X1,X2,X3,X4,truck1,X6,X7,X5,X8)
      | ~ neq(X7,truck1)
      | ~ neq(X6,truck1)
      | ~ s(X0,X1,X2,X3,X4,X5,X6,X7,X5,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',board1) ).

fof(f22,axiom,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ s(X0,X1,X2,X3,X4,truck1,X6,X7,X5,X8)
      | s(X0,X1,X2,X3,X4,X5,X6,X7,X5,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',board2) ).

fof(f33,axiom,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( s(X0,X1,X2,X3,X4,truck1,X5,X6,X9,X8)
      | ~ link(X7,X9)
      | ~ s(X0,X1,X2,X3,X4,truck1,X5,X6,X7,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',drive1) ).

fof(f39,axiom,
    ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( s(X0,X1,X2,X3,X4,X10,X6,X7,X8,X9)
      | ~ path(X5,X10)
      | ~ s(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',walk1) ).

fof(f40,axiom,
    ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( s(X0,X1,X2,X3,X4,X5,X10,X7,X8,X9)
      | ~ path(X6,X10)
      | ~ s(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',walk2) ).

fof(f41,axiom,
    ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( s(X0,X1,X2,X3,X4,X5,X6,X10,X8,X9)
      | ~ path(X7,X10)
      | ~ s(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',walk3) ).

fof(f74,axiom,
    neq(s2,truck1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq33) ).

fof(f106,axiom,
    path(s0,p0_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',map1) ).

fof(f107,axiom,
    path(p0_1,s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',map2) ).

fof(f108,axiom,
    path(s1,p0_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',map3) ).

fof(f109,axiom,
    path(p0_1,s1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',map4) ).

fof(f111,axiom,
    path(p1_2,s1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',map6) ).

fof(f112,axiom,
    path(s2,p1_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',map7) ).

fof(f118,axiom,
    link(s0,s1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',map13) ).

fof(f119,axiom,
    link(s1,s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',map14) ).

fof(f120,axiom,
    link(s2,s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',map15) ).

fof(f121,axiom,
    link(s0,s2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',map16) ).

fof(f122,axiom,
    s(s0,s0,s1,s2,s2,s0,s2,s2,s1,s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',init) ).

fof(f123,negated_conjecture,
    ! [X0] : ~ s(s1,s0,s1,s1,s1,s0,s1,X0,s0,s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

tcf(c_172,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( s(truck1,X1,X2,X3,X4,X5,X6,X7,X0,X8)
      | ~ s(X0,X1,X2,X3,X4,X5,X6,X7,X0,X8) ),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_173,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( s(X7,X0,X1,X2,X3,X4,X5,X6,X7,X8)
      | ~ s(truck1,X0,X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_174,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( s(truck2,X1,X2,X3,X4,X5,X6,X7,X8,X0)
      | ~ s(X0,X1,X2,X3,X4,X5,X6,X7,X8,X0) ),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_175,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( s(X8,X0,X1,X2,X3,X4,X5,X6,X7,X8)
      | ~ s(truck2,X0,X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_184,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( s(X0,X1,X2,truck1,X4,X5,X6,X7,X3,X8)
      | ~ s(X0,X1,X2,X3,X4,X5,X6,X7,X3,X8) ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_185,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( s(X0,X1,X2,X7,X3,X4,X5,X6,X7,X8)
      | ~ s(X0,X1,X2,truck1,X3,X4,X5,X6,X7,X8) ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_188,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( s(X0,X1,X2,X3,truck1,X5,X6,X7,X4,X8)
      | ~ s(X0,X1,X2,X3,X4,X5,X6,X7,X4,X8) ),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_189,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( s(X0,X1,X2,X3,X7,X4,X5,X6,X7,X8)
      | ~ s(X0,X1,X2,X3,truck1,X4,X5,X6,X7,X8) ),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_192,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( s(X0,X1,X2,X3,X4,truck1,X6,X7,X5,X8)
      | ~ neq(X7,truck1)
      | ~ neq(X6,truck1)
      | ~ s(X0,X1,X2,X3,X4,X5,X6,X7,X5,X8) ),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_193,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( s(X0,X1,X2,X3,X4,X7,X5,X6,X7,X8)
      | ~ s(X0,X1,X2,X3,X4,truck1,X5,X6,X7,X8) ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_204,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( s(X0,X1,X2,X3,X4,truck1,X5,X6,X9,X8)
      | ~ link(X7,X9)
      | ~ s(X0,X1,X2,X3,X4,truck1,X5,X6,X7,X8) ),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_210,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( s(X0,X1,X2,X3,X4,X10,X6,X7,X8,X9)
      | ~ path(X5,X10)
      | ~ s(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_211,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( s(X0,X1,X2,X3,X4,X5,X10,X7,X8,X9)
      | ~ path(X6,X10)
      | ~ s(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_212,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( s(X0,X1,X2,X3,X4,X5,X6,X10,X8,X9)
      | ~ path(X7,X10)
      | ~ s(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_245,plain,
    neq(s2,truck1),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_277,plain,
    path(s0,p0_1),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_278,plain,
    path(p0_1,s0),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_279,plain,
    path(s1,p0_1),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_280,plain,
    path(p0_1,s1),
    inference(cnf_transformation,[],[f109]) ).

tcf(c_282,plain,
    path(p1_2,s1),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_283,plain,
    path(s2,p1_2),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_289,plain,
    link(s0,s1),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_290,plain,
    link(s1,s0),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_291,plain,
    link(s2,s0),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_292,plain,
    link(s0,s2),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_293,plain,
    s(s0,s0,s1,s2,s2,s0,s2,s2,s1,s0),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_294,negated_conjecture,
    ! [X0: $i] : ~ s(s1,s0,s1,s1,s1,s0,s1,X0,s0,s0),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_2296,plain,
    ! [X0: $i] :
      ( s(s0,s0,s1,s2,s2,X0,s2,s2,s1,s0)
      | ~ path(s0,X0)
      | ~ s(s0,s0,s1,s2,s2,s0,s2,s2,s1,s0) ),
    inference(instantiation,[status(thm)],[c_210]) ).

tcf(c_2364,plain,
    ! [X0: $i] :
      ( s(s0,s0,s1,s2,s2,X0,s2,s2,s1,s0)
      | ~ path(s0,X0) ),
    inference(superposition,[status(thm)],[c_293,c_210]) ).

tcf(c_2422,plain,
    ( s(s0,s0,s1,s2,s2,truck1,s2,s2,s1,s0)
    | ~ neq(s2,truck1)
    | ~ s(s0,s0,s1,s2,s2,s1,s2,s2,s1,s0) ),
    inference(instantiation,[status(thm)],[c_192]) ).

tcf(c_2424,plain,
    ! [X0: $i] :
      ( s(s0,s0,s1,s2,s2,truck1,s2,s2,X0,s0)
      | ~ link(s1,X0)
      | ~ s(s0,s0,s1,s2,s2,truck1,s2,s2,s1,s0) ),
    inference(instantiation,[status(thm)],[c_204]) ).

tcf(c_2433,plain,
    ! [X0: $i,X1: $i] :
      ( s(s0,s0,s1,s2,s2,X1,s2,s2,s1,s0)
      | ~ path(X0,X1)
      | ~ s(s0,s0,s1,s2,s2,X0,s2,s2,s1,s0) ),
    inference(instantiation,[status(thm)],[c_210]) ).

tcf(c_2531,plain,
    ! [X0: $i] :
      ( s(s0,s0,s1,s2,s2,truck1,s2,s2,X0,s0)
      | ~ path(s0,truck1)
      | ~ link(s1,X0) ),
    inference(superposition,[status(thm)],[c_2364,c_204]) ).

tcf(c_2744,plain,
    ( s(s0,s0,s1,s2,s2,p0_1,s2,s2,s1,s0)
    | ~ path(s0,p0_1)
    | ~ s(s0,s0,s1,s2,s2,s0,s2,s2,s1,s0) ),
    inference(instantiation,[status(thm)],[c_2296]) ).

tcf(c_2820,plain,
    ( s(s0,s0,s1,s2,s2,s1,s2,s2,s1,s0)
    | ~ path(p0_1,s1)
    | ~ s(s0,s0,s1,s2,s2,p0_1,s2,s2,s1,s0) ),
    inference(instantiation,[status(thm)],[c_2433]) ).

tcf(c_3390,plain,
    ! [X0: $i] :
      ( s(s0,s0,s1,s2,s2,truck1,s2,s2,X0,s0)
      | ~ link(s1,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_2531,c_280,c_277,c_245,c_293,c_2422,c_2424,c_2744,c_2820]) ).

tcf(c_3393,plain,
    ( s(truck1,s0,s1,s2,s2,truck1,s2,s2,s0,s0)
    | ~ link(s1,s0) ),
    inference(superposition,[status(thm)],[c_3390,c_172]) ).

tcf(c_3398,plain,
    ( s(s0,s0,s1,truck1,s2,truck1,s2,s2,s2,s0)
    | ~ link(s1,s2) ),
    inference(superposition,[status(thm)],[c_3390,c_184]) ).

tcf(c_3620,plain,
    s(truck1,s0,s1,s2,s2,truck1,s2,s2,s0,s0),
    inference(global_subsumption_just,[status(thm)],[c_3393,c_290,c_3393]) ).

tcf(c_3622,plain,
    s(s0,s0,s1,s2,s2,truck1,s2,s2,s0,s0),
    inference(superposition,[status(thm)],[c_3620,c_173]) ).

tcf(c_3637,plain,
    s(truck2,s0,s1,s2,s2,truck1,s2,s2,s0,s0),
    inference(superposition,[status(thm)],[c_3622,c_174]) ).

tcf(c_3802,plain,
    ! [X0: $i] :
      ( s(truck2,s0,s1,s2,s2,truck1,s2,s2,X0,s0)
      | ~ link(s0,X0) ),
    inference(superposition,[status(thm)],[c_3637,c_204]) ).

tcf(c_4422,plain,
    ( s(truck2,s0,s1,truck1,s2,truck1,s2,s2,s2,s0)
    | ~ link(s1,s2) ),
    inference(superposition,[status(thm)],[c_3398,c_174]) ).

tcf(c_7417,plain,
    ! [X0: $i] :
      ( s(s1,s0,s1,s1,s1,s0,s1,X0,s0,s0)
      | ~ s(s1,s0,s1,s1,s1,truck1,s1,X0,s0,s0) ),
    inference(instantiation,[status(thm)],[c_193]) ).

tcf(c_7455,plain,
    ~ s(s1,s0,s1,s1,s1,s0,s1,s0,s0,s0),
    inference(instantiation,[status(thm)],[c_294]) ).

tcf(c_7764,plain,
    ( s(s1,s0,s1,s1,s1,s0,s1,s0,s0,s0)
    | ~ s(s1,s0,s1,s1,s1,truck1,s1,s0,s0,s0) ),
    inference(instantiation,[status(thm)],[c_7417]) ).

tcf(c_18109,plain,
    ( s(truck2,s0,s1,truck1,s2,truck1,s2,s2,s2,s0)
    | ~ link(s0,s2) ),
    inference(superposition,[status(thm)],[c_3802,c_184]) ).

tcf(c_19043,plain,
    s(truck2,s0,s1,truck1,s2,truck1,s2,s2,s2,s0),
    inference(global_subsumption_just,[status(thm)],[c_4422,c_292,c_18109]) ).

tcf(c_19045,plain,
    s(s0,s0,s1,truck1,s2,truck1,s2,s2,s2,s0),
    inference(superposition,[status(thm)],[c_19043,c_175]) ).

tcf(c_19062,plain,
    s(s0,s0,s1,truck1,truck1,truck1,s2,s2,s2,s0),
    inference(superposition,[status(thm)],[c_19045,c_188]) ).

tcf(c_53258,plain,
    ! [X0: $i,X1: $i] :
      ( s(s1,s0,s1,s1,s1,truck1,s1,X0,s0,s0)
      | ~ link(X1,s0)
      | ~ s(s1,s0,s1,s1,s1,truck1,s1,X0,X1,s0) ),
    inference(instantiation,[status(thm)],[c_204]) ).

tcf(c_53264,plain,
    ! [X0: $i,X1: $i] :
      ( s(s1,s0,s1,s1,s1,truck1,s1,X1,s0,s0)
      | ~ path(X0,X1)
      | ~ s(s1,s0,s1,s1,s1,truck1,s1,X0,s0,s0) ),
    inference(instantiation,[status(thm)],[c_212]) ).

tcf(c_54822,plain,
    ! [X0: $i] :
      ( s(s1,s0,s1,s1,s1,truck1,s1,X0,s0,s0)
      | ~ link(s1,s0)
      | ~ s(s1,s0,s1,s1,s1,truck1,s1,X0,s1,s0) ),
    inference(instantiation,[status(thm)],[c_53258]) ).

tcf(c_54829,plain,
    ( s(s1,s0,s1,s1,s1,truck1,s1,s0,s0,s0)
    | ~ path(p0_1,s0)
    | ~ s(s1,s0,s1,s1,s1,truck1,s1,p0_1,s0,s0) ),
    inference(instantiation,[status(thm)],[c_53264]) ).

tcf(c_54830,plain,
    ( s(s1,s0,s1,s1,s1,truck1,s1,p0_1,s0,s0)
    | ~ path(s1,p0_1)
    | ~ s(s1,s0,s1,s1,s1,truck1,s1,s1,s0,s0) ),
    inference(instantiation,[status(thm)],[c_53264]) ).

tcf(c_58618,plain,
    ( s(s1,s0,s1,s1,s1,truck1,s1,s1,s0,s0)
    | ~ link(s1,s0)
    | ~ s(s1,s0,s1,s1,s1,truck1,s1,s1,s1,s0) ),
    inference(instantiation,[status(thm)],[c_54822]) ).

tcf(c_64904,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( s(X0,X1,X2,X3,X4,X5,X6,s1,X7,X8)
      | ~ path(p1_2,s1)
      | ~ s(X0,X1,X2,X3,X4,X5,X6,p1_2,X7,X8) ),
    inference(instantiation,[status(thm)],[c_212]) ).

tcf(c_70472,plain,
    ! [X0: $i] :
      ( s(s1,s0,s1,s1,truck1,truck1,s1,X0,s1,s0)
      | ~ s(s1,s0,s1,truck1,truck1,truck1,s1,X0,s1,s0) ),
    inference(instantiation,[status(thm)],[c_185]) ).

tcf(c_71578,plain,
    ! [X0: $i] :
      ( s(s1,s0,s1,s1,s1,X0,s1,s1,s1,s0)
      | ~ s(s1,s0,s1,s1,truck1,X0,s1,s1,s1,s0) ),
    inference(instantiation,[status(thm)],[c_189]) ).

tcf(c_71579,plain,
    ( s(s1,s0,s1,s1,s1,truck1,s1,s1,s1,s0)
    | ~ s(s1,s0,s1,s1,truck1,truck1,s1,s1,s1,s0) ),
    inference(instantiation,[status(thm)],[c_71578]) ).

tcf(c_129298,plain,
    ( s(s1,s0,s1,truck1,truck1,truck1,s1,s1,s1,s0)
    | ~ path(p1_2,s1)
    | ~ s(s1,s0,s1,truck1,truck1,truck1,s1,p1_2,s1,s0) ),
    inference(instantiation,[status(thm)],[c_64904]) ).

tcf(c_129300,plain,
    ( s(s1,s0,s1,s1,truck1,truck1,s1,s1,s1,s0)
    | ~ s(s1,s0,s1,truck1,truck1,truck1,s1,s1,s1,s0) ),
    inference(instantiation,[status(thm)],[c_70472]) ).

tcf(c_148176,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( s(X0,X1,X2,X3,X4,truck1,X5,X6,s1,X7)
      | ~ link(s0,s1)
      | ~ s(X0,X1,X2,X3,X4,truck1,X5,X6,s0,X7) ),
    inference(instantiation,[status(thm)],[c_204]) ).

tcf(c_148178,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( s(X0,X1,X2,X3,X4,truck1,X5,X6,s0,X7)
      | ~ link(s2,s0)
      | ~ s(X0,X1,X2,X3,X4,truck1,X5,X6,s2,X7) ),
    inference(instantiation,[status(thm)],[c_204]) ).

tcf(c_148527,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( s(X0,X1,X2,X3,X4,X5,s1,X6,X7,X8)
      | ~ path(p1_2,s1)
      | ~ s(X0,X1,X2,X3,X4,X5,p1_2,X6,X7,X8) ),
    inference(instantiation,[status(thm)],[c_211]) ).

tcf(c_148528,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( s(X0,X1,X2,X3,X4,X5,p1_2,X6,X7,X8)
      | ~ path(s2,p1_2)
      | ~ s(X0,X1,X2,X3,X4,X5,s2,X6,X7,X8) ),
    inference(instantiation,[status(thm)],[c_211]) ).

tcf(c_148696,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( s(X0,X1,X2,X3,X4,X5,X6,p1_2,X7,X8)
      | ~ path(s2,p1_2)
      | ~ s(X0,X1,X2,X3,X4,X5,X6,s2,X7,X8) ),
    inference(instantiation,[status(thm)],[c_212]) ).

tcf(c_149561,plain,
    ( s(s0,s0,s1,truck1,truck1,truck1,s2,s2,s0,s0)
    | ~ link(s2,s0)
    | ~ s(s0,s0,s1,truck1,truck1,truck1,s2,s2,s2,s0) ),
    inference(instantiation,[status(thm)],[c_148178]) ).

tcf(c_150368,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( s(truck1,X0,X1,X2,X3,truck1,X4,X5,s0,X6)
      | ~ s(s0,X0,X1,X2,X3,truck1,X4,X5,s0,X6) ),
    inference(instantiation,[status(thm)],[c_172]) ).

tcf(c_150370,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( s(truck1,X0,X1,X2,X3,truck1,X4,X5,s1,X6)
      | ~ link(s0,s1)
      | ~ s(truck1,X0,X1,X2,X3,truck1,X4,X5,s0,X6) ),
    inference(instantiation,[status(thm)],[c_148176]) ).

tcf(c_150385,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( s(s1,X0,X1,X2,X3,truck1,X4,X5,s1,X6)
      | ~ s(truck1,X0,X1,X2,X3,truck1,X4,X5,s1,X6) ),
    inference(instantiation,[status(thm)],[c_173]) ).

tcf(c_164011,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( s(truck1,X0,X1,X2,X3,truck1,p1_2,X4,s0,X5)
      | ~ s(s0,X0,X1,X2,X3,truck1,p1_2,X4,s0,X5) ),
    inference(instantiation,[status(thm)],[c_150368]) ).

tcf(c_164012,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( s(s0,X0,X1,X2,X3,truck1,p1_2,X4,s0,X5)
      | ~ path(s2,p1_2)
      | ~ s(s0,X0,X1,X2,X3,truck1,s2,X4,s0,X5) ),
    inference(instantiation,[status(thm)],[c_148528]) ).

tcf(c_164569,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( s(s1,X0,X1,X2,X3,truck1,s1,X4,s1,X5)
      | ~ path(p1_2,s1)
      | ~ s(s1,X0,X1,X2,X3,truck1,p1_2,X4,s1,X5) ),
    inference(instantiation,[status(thm)],[c_148527]) ).

tcf(c_164606,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( s(s1,X0,X1,X2,X3,truck1,X4,p1_2,s1,X5)
      | ~ path(s2,p1_2)
      | ~ s(s1,X0,X1,X2,X3,truck1,X4,s2,s1,X5) ),
    inference(instantiation,[status(thm)],[c_148696]) ).

tcf(c_173812,plain,
    ( s(s0,s0,s1,truck1,truck1,truck1,p1_2,s2,s0,s0)
    | ~ path(s2,p1_2)
    | ~ s(s0,s0,s1,truck1,truck1,truck1,s2,s2,s0,s0) ),
    inference(instantiation,[status(thm)],[c_164012]) ).

tcf(c_187646,plain,
    ( s(truck1,s0,s1,truck1,truck1,truck1,p1_2,s2,s0,s0)
    | ~ s(s0,s0,s1,truck1,truck1,truck1,p1_2,s2,s0,s0) ),
    inference(instantiation,[status(thm)],[c_164011]) ).

tcf(c_201277,plain,
    ( s(truck1,s0,s1,truck1,truck1,truck1,p1_2,s2,s1,s0)
    | ~ link(s0,s1)
    | ~ s(truck1,s0,s1,truck1,truck1,truck1,p1_2,s2,s0,s0) ),
    inference(instantiation,[status(thm)],[c_150370]) ).

tcf(c_224080,plain,
    ( s(s1,s0,s1,truck1,truck1,truck1,p1_2,s2,s1,s0)
    | ~ s(truck1,s0,s1,truck1,truck1,truck1,p1_2,s2,s1,s0) ),
    inference(instantiation,[status(thm)],[c_150385]) ).

tcf(c_236637,plain,
    ( s(s1,s0,s1,truck1,truck1,truck1,p1_2,p1_2,s1,s0)
    | ~ path(s2,p1_2)
    | ~ s(s1,s0,s1,truck1,truck1,truck1,p1_2,s2,s1,s0) ),
    inference(instantiation,[status(thm)],[c_164606]) ).

tcf(c_532753,plain,
    ( s(s1,s0,s1,truck1,truck1,truck1,s1,p1_2,s1,s0)
    | ~ path(p1_2,s1)
    | ~ s(s1,s0,s1,truck1,truck1,truck1,p1_2,p1_2,s1,s0) ),
    inference(instantiation,[status(thm)],[c_164569]) ).

tcf(c_532754,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_532753,c_236637,c_224080,c_201277,c_187646,c_173812,c_149561,c_129300,c_129298,c_71579,c_58618,c_54830,c_54829,c_19062,c_7764,c_7455,c_278,c_279,c_282,c_283,c_289,c_290,c_291]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PLA031-1.005 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36  % Computer : n001.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
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Thu Sep 24 06:20:36 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40  Running EPR theorem proving
% 0.10/0.40  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
% 0.10/0.41  
% 0.10/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41  
% 0.10/0.41  % Detected problem language: tptp
% 0.10/0.43  % Proving...
% 169.58/33.10  % SZS status Started for theBenchmark.p
% 169.58/33.10  % SZS status Unsatisfiable for theBenchmark.p
% 169.58/33.10  
% 169.58/33.10  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 169.58/33.10  
% 169.58/33.10  % ------  iProver source info
% 169.58/33.10  
% 169.58/33.10  % git: date: 2026-07-19 20:42:38 +0200
% 169.58/33.10  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 169.58/33.10  % git: non_committed_changes: false
% 169.58/33.10  
% 169.58/33.10  % ------ Parsing...% successful
% 169.58/33.10  
% 169.58/33.10  
% 169.58/33.10  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 169.58/33.10  
% 169.58/33.10  % ------ Preprocessing... sf_s  rm: 50 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 169.58/33.10  
% 169.58/33.10  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 169.58/33.10  % ------ Proving...
% 169.58/33.10  % ------ Problem Properties 
% 169.58/33.10  
% 169.58/33.10  % 
% 169.58/33.10  % clauses                               73
% 169.58/33.10  % conjectures                           1
% 169.58/33.10  % EPR                                   73
% 169.58/33.10  % Horn                                  73
% 169.58/33.10  % unary                                 32
% 169.58/33.10  % binary                                26
% 169.58/33.10  % lits                                  135
% 169.58/33.10  % lits eq                               0
% 169.58/33.10  % fd_pure                               0
% 169.58/33.10  % fd_pseudo                             0
% 169.58/33.10  % fd_cond                               0
% 169.58/33.10  % fd_pseudo_cond                        0
% 169.58/33.10  % AC symbols                            0
% 169.58/33.10  
% 169.58/33.10  % ------ Input Options Time Limit: Unbounded
% 169.58/33.10  
% 169.58/33.10  
% 169.58/33.10  % ------ 
% 169.58/33.10  % Current options:
% 169.58/33.10  % ------ 
% 169.58/33.10  
% 169.58/33.10  
% 169.58/33.10  % 
% 169.58/33.10  
% 169.58/33.10  % ------ Proving...
% 169.58/33.10  % 
% 169.58/33.10  
% 169.58/33.10  % SZS status Unsatisfiable for theBenchmark.p
% 169.58/33.10  
% 169.58/33.10  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 169.58/33.11  
% 169.58/33.11  
%------------------------------------------------------------------------------