TSTP Solution File: PLA031-1.004 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : PLA031-1.004 : TPTP v8.1.2. Released v3.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 12:59:23 EDT 2023

% Result   : Unsatisfiable 90.57s 90.62s
% Output   : CNFRefutation 90.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   33
% Syntax   : Number of formulae    :   76 (  34 unt;  13 typ;   0 def)
%            Number of atoms       :  103 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   82 (  42   ~;  40   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (   4   >;  11   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-9 aty)
%            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
%            Number of variables   :  194 (   4 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    s: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).

tff(decl_23,type,
    truck1: $i ).

tff(decl_24,type,
    truck2: $i ).

tff(decl_25,type,
    neq: ( $i * $i ) > $o ).

tff(decl_26,type,
    link: ( $i * $i ) > $o ).

tff(decl_27,type,
    path: ( $i * $i ) > $o ).

tff(decl_28,type,
    s0: $i ).

tff(decl_29,type,
    s1: $i ).

tff(decl_30,type,
    s2: $i ).

tff(decl_31,type,
    p0_1: $i ).

tff(decl_32,type,
    p1_2: $i ).

tff(decl_33,type,
    p2_0: $i ).

tff(decl_34,type,
    p2_1: $i ).

cnf(walk1,axiom,
    ( s(X1,X2,X3,X4,X10,X6,X7,X8,X9)
    | ~ s(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ path(X5,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',walk1) ).

cnf(init,axiom,
    s(s1,s0,s2,s0,s1,s2,s2,s0,s1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',init) ).

cnf(map5,axiom,
    path(s1,p1_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map5) ).

cnf(map8,axiom,
    path(p1_2,s2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map8) ).

cnf(walk3,axiom,
    ( s(X1,X2,X3,X4,X5,X6,X10,X8,X9)
    | ~ s(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ path(X7,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',walk3) ).

cnf(map9,axiom,
    path(s2,p2_0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map9) ).

cnf(board9,axiom,
    ( s(X1,X2,X3,X4,X5,X6,truck1,X7,X8)
    | ~ s(X1,X2,X3,X4,X5,X6,X7,X7,X8)
    | ~ neq(X5,truck1)
    | ~ neq(X6,truck1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',board9) ).

cnf(neq37,axiom,
    neq(s2,truck1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq37) ).

cnf(map12,axiom,
    path(p2_0,s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map12) ).

cnf(load13,axiom,
    ( s(X1,X2,X3,truck1,X5,X6,X7,X4,X8)
    | ~ s(X1,X2,X3,X4,X5,X6,X7,X4,X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',load13) ).

cnf(drive5,axiom,
    ( s(X1,X2,X3,X4,X5,X6,truck1,X9,X8)
    | ~ s(X1,X2,X3,X4,X5,X6,truck1,X7,X8)
    | ~ link(X7,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',drive5) ).

cnf(map13,axiom,
    link(s0,s2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map13) ).

cnf(load14,axiom,
    ( s(X1,X2,X3,X4,X5,X6,X7,X4,X8)
    | ~ s(X1,X2,X3,truck1,X5,X6,X7,X4,X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',load14) ).

cnf(load9,axiom,
    ( s(X1,X2,truck1,X4,X5,X6,X7,X3,X8)
    | ~ s(X1,X2,X3,X4,X5,X6,X7,X3,X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',load9) ).

cnf(map17,axiom,
    link(s2,s1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map17) ).

cnf(load10,axiom,
    ( s(X1,X2,X3,X4,X5,X6,X7,X3,X8)
    | ~ s(X1,X2,truck1,X4,X5,X6,X7,X3,X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',load10) ).

cnf(load1,axiom,
    ( s(truck1,X2,X3,X4,X5,X6,X7,X1,X8)
    | ~ s(X1,X2,X3,X4,X5,X6,X7,X1,X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',load1) ).

cnf(map15,axiom,
    link(s1,s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map15) ).

cnf(load2,axiom,
    ( s(X1,X2,X3,X4,X5,X6,X7,X1,X8)
    | ~ s(truck1,X2,X3,X4,X5,X6,X7,X1,X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',load2) ).

cnf(goal,negated_conjecture,
    ~ s(s0,s0,s1,s2,s2,X1,X2,s0,s1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

cnf(c_0_20,axiom,
    ( s(X1,X2,X3,X4,X10,X6,X7,X8,X9)
    | ~ s(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ path(X5,X10) ),
    walk1 ).

cnf(c_0_21,axiom,
    s(s1,s0,s2,s0,s1,s2,s2,s0,s1),
    init ).

cnf(c_0_22,plain,
    ( s(s1,s0,s2,s0,X1,s2,s2,s0,s1)
    | ~ path(s1,X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_23,axiom,
    path(s1,p1_2),
    map5 ).

cnf(c_0_24,plain,
    s(s1,s0,s2,s0,p1_2,s2,s2,s0,s1),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_25,plain,
    ( s(s1,s0,s2,s0,X1,s2,s2,s0,s1)
    | ~ path(p1_2,X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_24]) ).

cnf(c_0_26,axiom,
    path(p1_2,s2),
    map8 ).

cnf(c_0_27,axiom,
    ( s(X1,X2,X3,X4,X5,X6,X10,X8,X9)
    | ~ s(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ path(X7,X10) ),
    walk3 ).

cnf(c_0_28,plain,
    s(s1,s0,s2,s0,s2,s2,s2,s0,s1),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_29,plain,
    ( s(s1,s0,s2,s0,s2,s2,X1,s0,s1)
    | ~ path(s2,X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_30,axiom,
    path(s2,p2_0),
    map9 ).

cnf(c_0_31,plain,
    s(s1,s0,s2,s0,s2,s2,p2_0,s0,s1),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_32,axiom,
    ( s(X1,X2,X3,X4,X5,X6,truck1,X7,X8)
    | ~ s(X1,X2,X3,X4,X5,X6,X7,X7,X8)
    | ~ neq(X5,truck1)
    | ~ neq(X6,truck1) ),
    board9 ).

cnf(c_0_33,axiom,
    neq(s2,truck1),
    neq37 ).

cnf(c_0_34,plain,
    ( s(s1,s0,s2,s0,s2,s2,X1,s0,s1)
    | ~ path(p2_0,X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_31]) ).

cnf(c_0_35,axiom,
    path(p2_0,s0),
    map12 ).

cnf(c_0_36,plain,
    ( s(X1,X2,X3,X4,X5,s2,truck1,X6,X7)
    | ~ neq(X5,truck1)
    | ~ s(X1,X2,X3,X4,X5,s2,X6,X6,X7) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_37,axiom,
    ( s(X1,X2,X3,truck1,X5,X6,X7,X4,X8)
    | ~ s(X1,X2,X3,X4,X5,X6,X7,X4,X8) ),
    load13 ).

cnf(c_0_38,plain,
    s(s1,s0,s2,s0,s2,s2,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_39,plain,
    ( s(X1,X2,X3,X4,s2,s2,truck1,X5,X6)
    | ~ s(X1,X2,X3,X4,s2,s2,X5,X5,X6) ),
    inference(spm,[status(thm)],[c_0_36,c_0_33]) ).

cnf(c_0_40,plain,
    s(s1,s0,s2,truck1,s2,s2,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_41,axiom,
    ( s(X1,X2,X3,X4,X5,X6,truck1,X9,X8)
    | ~ s(X1,X2,X3,X4,X5,X6,truck1,X7,X8)
    | ~ link(X7,X9) ),
    drive5 ).

cnf(c_0_42,plain,
    s(s1,s0,s2,truck1,s2,s2,truck1,s0,s1),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_43,plain,
    ( s(s1,s0,s2,truck1,s2,s2,truck1,X1,s1)
    | ~ link(s0,X1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_44,axiom,
    link(s0,s2),
    map13 ).

cnf(c_0_45,axiom,
    ( s(X1,X2,X3,X4,X5,X6,X7,X4,X8)
    | ~ s(X1,X2,X3,truck1,X5,X6,X7,X4,X8) ),
    load14 ).

cnf(c_0_46,plain,
    s(s1,s0,s2,truck1,s2,s2,truck1,s2,s1),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_47,axiom,
    ( s(X1,X2,truck1,X4,X5,X6,X7,X3,X8)
    | ~ s(X1,X2,X3,X4,X5,X6,X7,X3,X8) ),
    load9 ).

cnf(c_0_48,plain,
    s(s1,s0,s2,s2,s2,s2,truck1,s2,s1),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_49,plain,
    s(s1,s0,truck1,s2,s2,s2,truck1,s2,s1),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_50,plain,
    ( s(s1,s0,truck1,s2,s2,s2,truck1,X1,s1)
    | ~ link(s2,X1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_49]) ).

cnf(c_0_51,axiom,
    link(s2,s1),
    map17 ).

cnf(c_0_52,axiom,
    ( s(X1,X2,X3,X4,X5,X6,X7,X3,X8)
    | ~ s(X1,X2,truck1,X4,X5,X6,X7,X3,X8) ),
    load10 ).

cnf(c_0_53,plain,
    s(s1,s0,truck1,s2,s2,s2,truck1,s1,s1),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_54,axiom,
    ( s(truck1,X2,X3,X4,X5,X6,X7,X1,X8)
    | ~ s(X1,X2,X3,X4,X5,X6,X7,X1,X8) ),
    load1 ).

cnf(c_0_55,plain,
    s(s1,s0,s1,s2,s2,s2,truck1,s1,s1),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_56,plain,
    s(truck1,s0,s1,s2,s2,s2,truck1,s1,s1),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_57,plain,
    ( s(truck1,s0,s1,s2,s2,s2,truck1,X1,s1)
    | ~ link(s1,X1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_56]) ).

cnf(c_0_58,axiom,
    link(s1,s0),
    map15 ).

cnf(c_0_59,axiom,
    ( s(X1,X2,X3,X4,X5,X6,X7,X1,X8)
    | ~ s(truck1,X2,X3,X4,X5,X6,X7,X1,X8) ),
    load2 ).

cnf(c_0_60,plain,
    s(truck1,s0,s1,s2,s2,s2,truck1,s0,s1),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_61,negated_conjecture,
    ~ s(s0,s0,s1,s2,s2,X1,X2,s0,s1),
    goal ).

cnf(c_0_62,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : PLA031-1.004 : TPTP v8.1.2. Released v3.5.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun Aug 27 05:50:25 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.57  start to proof: theBenchmark
% 90.57/90.62  % Version  : CSE_E---1.5
% 90.57/90.62  % Problem  : theBenchmark.p
% 90.57/90.62  % Proof found
% 90.57/90.62  % SZS status Theorem for theBenchmark.p
% 90.57/90.62  % SZS output start Proof
% See solution above
% 90.57/90.62  % Total time : 90.040000 s
% 90.57/90.62  % SZS output end Proof
% 90.57/90.62  % Total time : 90.048000 s
%------------------------------------------------------------------------------