TSTP Solution File: MSC007-2.005 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : MSC007-2.005 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n026.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  : 600s
% DateTime : Sun Jul 17 22:57:42 EDT 2022

% Result   : Unsatisfiable 0.20s 0.44s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    hole(hole_1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',hole_1)]) ).

cnf(g1,plain,
    ( ~ pigeon(pigeon_2)
    | ~ pigeon(pigeon_3)
    | ~ hole(hole_1)
    | ~ in(pigeon_2,hole_1)
    | ~ in(pigeon_3,hole_1)
    | sPE(pigeon_2,pigeon_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g2,plain,
    ~ sPE(pigeon_2,pigeon_3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_2_is_not_pigeon_3)]) ).

cnf(g3,plain,
    hole(hole_4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',hole_4)]) ).

cnf(g4,plain,
    pigeon(pigeon_2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_2)]) ).

cnf(g5,plain,
    hole(hole_3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',hole_3)]) ).

cnf(g6,plain,
    ( ~ pigeon(pigeon_3)
    | in(pigeon_3,hole_of(pigeon_3)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',each_pigeons_hole2)]) ).

cnf(g7,plain,
    pigeon(pigeon_3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_3)]) ).

cnf(g8,plain,
    pigeon(pigeon_5),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_5)]) ).

cnf(g9,plain,
    ( ~ pigeon(pigeon_3)
    | hole(hole_of(pigeon_3)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',each_pigeons_hole1)]) ).

cnf(g10,plain,
    sPE(pigeon_5,pigeon_5),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g11,plain,
    ( ~ pigeon(pigeon_2)
    | in(pigeon_2,hole_of(pigeon_2)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',each_pigeons_hole2)]) ).

cnf(g12,plain,
    ( ~ pigeon(pigeon_4)
    | in(pigeon_4,hole_of(pigeon_4)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',each_pigeons_hole2)]) ).

cnf(g13,plain,
    pigeon(pigeon_4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_4)]) ).

cnf(g14,plain,
    ( ~ pigeon(pigeon_4)
    | hole(hole_of(pigeon_4)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',each_pigeons_hole1)]) ).

cnf(g15,plain,
    ~ sPE(pigeon_3,pigeon_4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_3_is_not_pigeon_4)]) ).

cnf(g16,plain,
    ( ~ pigeon(pigeon_4)
    | ~ pigeon(pigeon_1)
    | ~ hole(hole_of(pigeon_1))
    | ~ in(pigeon_4,hole_of(pigeon_1))
    | ~ in(pigeon_1,hole_of(pigeon_1))
    | sPE(pigeon_4,pigeon_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g17,plain,
    ( ~ sPE(pigeon_4,pigeon_1)
    | sPE(pigeon_1,pigeon_4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g18,plain,
    ( ~ pigeon(pigeon_1)
    | in(pigeon_1,hole_of(pigeon_1)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',each_pigeons_hole2)]) ).

cnf(g19,plain,
    pigeon(pigeon_1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_1)]) ).

cnf(g20,plain,
    ( ~ pigeon(pigeon_1)
    | hole(hole_of(pigeon_1)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',each_pigeons_hole1)]) ).

cnf(g21,plain,
    ~ sPE(pigeon_1,pigeon_3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_1_is_not_pigeon_3)]) ).

cnf(g22,plain,
    ( ~ pigeon(pigeon_5)
    | in(pigeon_5,hole_of(pigeon_5)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',each_pigeons_hole2)]) ).

cnf(g23,plain,
    ~ sPE(pigeon_3,pigeon_5),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_3_is_not_pigeon_5)]) ).

cnf(g24,plain,
    ( ~ pigeon(pigeon_5)
    | hole(hole_of(pigeon_5)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',each_pigeons_hole1)]) ).

cnf(g25,plain,
    ( ~ pigeon(pigeon_3)
    | ~ pigeon(pigeon_5)
    | ~ hole(hole_of(pigeon_3))
    | ~ in(pigeon_3,hole_of(pigeon_3))
    | ~ in(pigeon_5,hole_of(pigeon_3))
    | sPE(pigeon_3,pigeon_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g26,plain,
    ~ sPE(pigeon_1,pigeon_2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_1_is_not_pigeon_2)]) ).

cnf(g27,plain,
    ( ~ pigeon(pigeon_1)
    | ~ pigeon(pigeon_2)
    | ~ hole(hole_of(pigeon_2))
    | ~ in(pigeon_1,hole_of(pigeon_2))
    | ~ in(pigeon_2,hole_of(pigeon_2))
    | sPE(pigeon_1,pigeon_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g28,plain,
    ( ~ pigeon(pigeon_1)
    | ~ pigeon(pigeon_2)
    | ~ hole(hole_4)
    | ~ in(pigeon_1,hole_4)
    | ~ in(pigeon_2,hole_4)
    | sPE(pigeon_1,pigeon_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g29,plain,
    sPE(pigeon_1,pigeon_1),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g30,plain,
    sPE(pigeon_3,pigeon_3),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g31,plain,
    ( ~ pigeon(pigeon_1)
    | ~ pigeon(pigeon_3)
    | ~ hole(hole_2)
    | ~ in(pigeon_1,hole_2)
    | ~ in(pigeon_3,hole_2)
    | sPE(pigeon_1,pigeon_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g32,plain,
    ( ~ sPE(pigeon_3,pigeon_3)
    | ~ sPE(hole_of(pigeon_3),hole_2)
    | ~ in(pigeon_3,hole_of(pigeon_3))
    | in(pigeon_3,hole_2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g33,plain,
    ( ~ hole(hole_of(pigeon_3))
    | sPE(hole_of(pigeon_3),hole_1)
    | sPE(hole_of(pigeon_3),hole_2)
    | sPE(hole_of(pigeon_3),hole_3)
    | sPE(hole_of(pigeon_3),hole_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_holes)]) ).

cnf(g34,plain,
    ( ~ pigeon(pigeon_1)
    | ~ pigeon(pigeon_3)
    | ~ hole(hole_4)
    | ~ in(pigeon_1,hole_4)
    | ~ in(pigeon_3,hole_4)
    | sPE(pigeon_1,pigeon_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g35,plain,
    ( ~ sPE(pigeon_3,pigeon_3)
    | ~ sPE(hole_of(pigeon_3),hole_4)
    | ~ in(pigeon_3,hole_of(pigeon_3))
    | in(pigeon_3,hole_4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g36,plain,
    ( ~ sPE(pigeon_3,pigeon_3)
    | ~ sPE(hole_of(pigeon_3),hole_1)
    | ~ in(pigeon_3,hole_of(pigeon_3))
    | in(pigeon_3,hole_1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g37,plain,
    ( ~ sPE(pigeon_3,pigeon_3)
    | ~ sPE(hole_of(pigeon_3),hole_3)
    | ~ in(pigeon_3,hole_of(pigeon_3))
    | in(pigeon_3,hole_3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g38,plain,
    sPE(pigeon_2,pigeon_2),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g39,plain,
    ( ~ sPE(pigeon_2,pigeon_2)
    | ~ sPE(hole_of(pigeon_2),hole_3)
    | ~ in(pigeon_2,hole_of(pigeon_2))
    | in(pigeon_2,hole_3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g40,plain,
    ( ~ hole(hole_of(pigeon_2))
    | sPE(hole_of(pigeon_2),hole_1)
    | sPE(hole_of(pigeon_2),hole_2)
    | sPE(hole_of(pigeon_2),hole_3)
    | sPE(hole_of(pigeon_2),hole_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_holes)]) ).

cnf(g41,plain,
    ( ~ sPE(pigeon_2,pigeon_2)
    | ~ sPE(hole_of(pigeon_2),hole_2)
    | ~ in(pigeon_2,hole_of(pigeon_2))
    | in(pigeon_2,hole_2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g42,plain,
    ( ~ sPE(pigeon_2,pigeon_2)
    | ~ sPE(hole_of(pigeon_2),hole_4)
    | ~ in(pigeon_2,hole_of(pigeon_2))
    | in(pigeon_2,hole_4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g43,plain,
    ( ~ sPE(pigeon_2,pigeon_2)
    | ~ sPE(hole_of(pigeon_2),hole_1)
    | ~ in(pigeon_2,hole_of(pigeon_2))
    | in(pigeon_2,hole_1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g44,plain,
    ( ~ pigeon(pigeon_5)
    | ~ pigeon(pigeon_2)
    | ~ hole(hole_of(pigeon_2))
    | ~ in(pigeon_5,hole_of(pigeon_2))
    | ~ in(pigeon_2,hole_of(pigeon_2))
    | sPE(pigeon_5,pigeon_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g45,plain,
    ( ~ sPE(pigeon_5,pigeon_2)
    | sPE(pigeon_2,pigeon_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry)]) ).

cnf(g46,plain,
    ( ~ pigeon(pigeon_2)
    | hole(hole_of(pigeon_2)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',each_pigeons_hole1)]) ).

cnf(g47,plain,
    ( ~ pigeon(pigeon_3)
    | ~ pigeon(pigeon_4)
    | ~ hole(hole_of(pigeon_4))
    | ~ in(pigeon_3,hole_of(pigeon_4))
    | ~ in(pigeon_4,hole_of(pigeon_4))
    | sPE(pigeon_3,pigeon_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g48,plain,
    ( ~ sPE(pigeon_1,pigeon_1)
    | ~ sPE(hole_of(pigeon_1),hole_1)
    | ~ in(pigeon_1,hole_of(pigeon_1))
    | in(pigeon_1,hole_1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g49,plain,
    ( ~ hole(hole_of(pigeon_1))
    | sPE(hole_of(pigeon_1),hole_1)
    | sPE(hole_of(pigeon_1),hole_2)
    | sPE(hole_of(pigeon_1),hole_3)
    | sPE(hole_of(pigeon_1),hole_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_holes)]) ).

cnf(g50,plain,
    ~ sPE(pigeon_1,pigeon_5),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_1_is_not_pigeon_5)]) ).

cnf(g51,plain,
    ~ sPE(pigeon_1,pigeon_4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_1_is_not_pigeon_4)]) ).

cnf(g52,plain,
    ( ~ sPE(hole_of(pigeon_3),hole_4)
    | sPE(hole_4,hole_of(pigeon_3)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry)]) ).

cnf(g53,plain,
    sPE(pigeon_4,pigeon_4),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g54,plain,
    ( ~ sPE(pigeon_4,pigeon_4)
    | ~ sPE(hole_of(pigeon_4),hole_4)
    | ~ in(pigeon_4,hole_of(pigeon_4))
    | in(pigeon_4,hole_4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g55,plain,
    ( ~ hole(hole_of(pigeon_4))
    | sPE(hole_of(pigeon_4),hole_1)
    | sPE(hole_of(pigeon_4),hole_2)
    | sPE(hole_of(pigeon_4),hole_3)
    | sPE(hole_of(pigeon_4),hole_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_holes)]) ).

cnf(g56,plain,
    ( ~ sPE(pigeon_4,pigeon_4)
    | ~ sPE(hole_of(pigeon_4),hole_1)
    | ~ in(pigeon_4,hole_of(pigeon_4))
    | in(pigeon_4,hole_1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g57,plain,
    ( ~ sPE(pigeon_4,pigeon_4)
    | ~ sPE(hole_of(pigeon_4),hole_3)
    | ~ in(pigeon_4,hole_of(pigeon_4))
    | in(pigeon_4,hole_3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g58,plain,
    ( ~ sPE(pigeon_4,pigeon_4)
    | ~ sPE(hole_of(pigeon_4),hole_2)
    | ~ in(pigeon_4,hole_of(pigeon_4))
    | in(pigeon_4,hole_2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g59,plain,
    hole(hole_2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',hole_2)]) ).

cnf(g60,plain,
    ( ~ sPE(pigeon_2,pigeon_1)
    | sPE(pigeon_1,pigeon_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry)]) ).

cnf(g61,plain,
    ( ~ sPE(hole_of(pigeon_3),hole_3)
    | sPE(hole_3,hole_of(pigeon_3)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry)]) ).

cnf(g62,plain,
    ( ~ sPE(pigeon_3,pigeon_1)
    | sPE(pigeon_1,pigeon_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry)]) ).

cnf(g63,plain,
    ( ~ pigeon(pigeon_1)
    | ~ pigeon(pigeon_3)
    | ~ hole(hole_of(pigeon_1))
    | ~ in(pigeon_1,hole_of(pigeon_1))
    | ~ in(pigeon_3,hole_of(pigeon_1))
    | sPE(pigeon_1,pigeon_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g64,plain,
    ( ~ sPE(pigeon_5,pigeon_5)
    | ~ sPE(hole_of(pigeon_5),hole_of(pigeon_3))
    | ~ in(pigeon_5,hole_of(pigeon_5))
    | in(pigeon_5,hole_of(pigeon_3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g65,plain,
    ( ~ sPE(hole_of(pigeon_5),hole_1)
    | ~ sPE(hole_1,hole_of(pigeon_3))
    | sPE(hole_of(pigeon_5),hole_of(pigeon_3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g66,plain,
    ( ~ hole(hole_of(pigeon_5))
    | sPE(hole_of(pigeon_5),hole_1)
    | sPE(hole_of(pigeon_5),hole_2)
    | sPE(hole_of(pigeon_5),hole_3)
    | sPE(hole_of(pigeon_5),hole_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_holes)]) ).

cnf(g67,plain,
    ( ~ sPE(hole_of(pigeon_3),hole_1)
    | sPE(hole_1,hole_of(pigeon_3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g68,plain,
    ( ~ pigeon(pigeon_5)
    | ~ pigeon(pigeon_4)
    | ~ hole(hole_1)
    | ~ in(pigeon_5,hole_1)
    | ~ in(pigeon_4,hole_1)
    | sPE(pigeon_5,pigeon_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g69,plain,
    ( ~ sPE(hole_of(pigeon_4),hole_2)
    | sPE(hole_2,hole_of(pigeon_4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g70,plain,
    ( ~ sPE(hole_of(pigeon_4),hole_1)
    | sPE(hole_1,hole_of(pigeon_4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g71,plain,
    ( ~ sPE(hole_of(pigeon_4),hole_3)
    | sPE(hole_3,hole_of(pigeon_4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g72,plain,
    ( ~ sPE(hole_of(pigeon_4),hole_4)
    | sPE(hole_4,hole_of(pigeon_4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g73,plain,
    ( ~ pigeon(pigeon_4)
    | ~ pigeon(pigeon_2)
    | ~ hole(hole_of(pigeon_4))
    | ~ in(pigeon_4,hole_of(pigeon_4))
    | ~ in(pigeon_2,hole_of(pigeon_4))
    | sPE(pigeon_4,pigeon_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g74,plain,
    ( ~ sPE(pigeon_2,pigeon_2)
    | ~ sPE(hole_of(pigeon_2),hole_of(pigeon_4))
    | ~ in(pigeon_2,hole_of(pigeon_2))
    | in(pigeon_2,hole_of(pigeon_4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g75,plain,
    ( ~ sPE(pigeon_4,pigeon_2)
    | sPE(pigeon_2,pigeon_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry)]) ).

cnf(g76,plain,
    ( ~ sPE(hole_of(pigeon_2),hole_4)
    | ~ sPE(hole_4,hole_of(pigeon_4))
    | sPE(hole_of(pigeon_2),hole_of(pigeon_4)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity)]) ).

cnf(g77,plain,
    ( ~ sPE(hole_of(pigeon_2),hole_3)
    | ~ sPE(hole_3,hole_of(pigeon_4))
    | sPE(hole_of(pigeon_2),hole_of(pigeon_4)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity)]) ).

cnf(g78,plain,
    ( ~ sPE(hole_of(pigeon_2),hole_2)
    | ~ sPE(hole_2,hole_of(pigeon_4))
    | sPE(hole_of(pigeon_2),hole_of(pigeon_4)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity)]) ).

cnf(g79,plain,
    ( ~ sPE(pigeon_5,pigeon_5)
    | ~ sPE(hole_of(pigeon_5),hole_2)
    | ~ in(pigeon_5,hole_of(pigeon_5))
    | in(pigeon_5,hole_2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g80,plain,
    ( ~ sPE(hole_of(pigeon_5),hole_3)
    | ~ sPE(hole_3,hole_of(pigeon_3))
    | sPE(hole_of(pigeon_5),hole_of(pigeon_3)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity)]) ).

cnf(g81,plain,
    ( ~ sPE(hole_of(pigeon_5),hole_2)
    | ~ sPE(hole_2,hole_of(pigeon_3))
    | sPE(hole_of(pigeon_5),hole_of(pigeon_3)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity)]) ).

cnf(g82,plain,
    ( ~ sPE(hole_of(pigeon_5),hole_4)
    | ~ sPE(hole_4,hole_of(pigeon_3))
    | sPE(hole_of(pigeon_5),hole_of(pigeon_3)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity)]) ).

cnf(g83,plain,
    ( ~ pigeon(pigeon_5)
    | ~ pigeon(pigeon_4)
    | ~ hole(hole_4)
    | ~ in(pigeon_5,hole_4)
    | ~ in(pigeon_4,hole_4)
    | sPE(pigeon_5,pigeon_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g84,plain,
    ( ~ pigeon(pigeon_5)
    | ~ pigeon(pigeon_4)
    | ~ hole(hole_2)
    | ~ in(pigeon_5,hole_2)
    | ~ in(pigeon_4,hole_2)
    | sPE(pigeon_5,pigeon_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g85,plain,
    ( ~ sPE(hole_of(pigeon_1),hole_4)
    | sPE(hole_4,hole_of(pigeon_1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g86,plain,
    ( ~ sPE(hole_of(pigeon_3),hole_2)
    | sPE(hole_2,hole_of(pigeon_3)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry)]) ).

cnf(g87,plain,
    sPE(hole_of(pigeon_5),hole_of(pigeon_5)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g88,plain,
    ( ~ pigeon(pigeon_5)
    | ~ pigeon(pigeon_1)
    | ~ hole(hole_2)
    | ~ in(pigeon_5,hole_2)
    | ~ in(pigeon_1,hole_2)
    | sPE(pigeon_5,pigeon_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g89,plain,
    ( ~ sPE(pigeon_5,pigeon_1)
    | sPE(pigeon_1,pigeon_5) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g90,plain,
    ( ~ sPE(hole_of(pigeon_1),hole_2)
    | sPE(hole_2,hole_of(pigeon_1)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry)]) ).

cnf(g91,plain,
    ( ~ sPE(pigeon_4,pigeon_4)
    | ~ sPE(hole_of(pigeon_4),hole_of(pigeon_1))
    | ~ in(pigeon_4,hole_of(pigeon_4))
    | in(pigeon_4,hole_of(pigeon_1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g92,plain,
    ( ~ sPE(hole_of(pigeon_4),hole_1)
    | ~ sPE(hole_1,hole_of(pigeon_1))
    | sPE(hole_of(pigeon_4),hole_of(pigeon_1)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity)]) ).

cnf(g93,plain,
    ( ~ sPE(hole_of(pigeon_4),hole_4)
    | ~ sPE(hole_4,hole_of(pigeon_1))
    | sPE(hole_of(pigeon_4),hole_of(pigeon_1)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity)]) ).

cnf(g94,plain,
    ( ~ pigeon(pigeon_2)
    | ~ pigeon(pigeon_3)
    | ~ hole(hole_3)
    | ~ in(pigeon_2,hole_3)
    | ~ in(pigeon_3,hole_3)
    | sPE(pigeon_2,pigeon_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g95,plain,
    ( ~ pigeon(pigeon_2)
    | ~ pigeon(pigeon_3)
    | ~ hole(hole_2)
    | ~ in(pigeon_2,hole_2)
    | ~ in(pigeon_3,hole_2)
    | sPE(pigeon_2,pigeon_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g96,plain,
    ( ~ pigeon(pigeon_2)
    | ~ pigeon(pigeon_3)
    | ~ hole(hole_of(pigeon_2))
    | ~ in(pigeon_2,hole_of(pigeon_2))
    | ~ in(pigeon_3,hole_of(pigeon_2))
    | sPE(pigeon_2,pigeon_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g97,plain,
    ( ~ sPE(hole_of(pigeon_2),hole_2)
    | sPE(hole_2,hole_of(pigeon_2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g98,plain,
    ( ~ pigeon(pigeon_2)
    | ~ pigeon(pigeon_1)
    | ~ hole(hole_3)
    | ~ in(pigeon_2,hole_3)
    | ~ in(pigeon_1,hole_3)
    | sPE(pigeon_2,pigeon_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g99,plain,
    ( ~ sPE(pigeon_1,pigeon_1)
    | ~ sPE(hole_of(pigeon_1),hole_4)
    | ~ in(pigeon_1,hole_of(pigeon_1))
    | in(pigeon_1,hole_4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g100,plain,
    ( ~ sPE(hole_of(pigeon_1),hole_3)
    | sPE(hole_3,hole_of(pigeon_1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g101,plain,
    ( ~ sPE(pigeon_1,pigeon_1)
    | ~ sPE(hole_of(pigeon_1),hole_3)
    | ~ in(pigeon_1,hole_of(pigeon_1))
    | in(pigeon_1,hole_3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g102,plain,
    ( ~ sPE(pigeon_1,pigeon_1)
    | ~ sPE(hole_of(pigeon_1),hole_2)
    | ~ in(pigeon_1,hole_of(pigeon_1))
    | in(pigeon_1,hole_2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g103,plain,
    ( ~ sPE(hole_of(pigeon_2),hole_4)
    | sPE(hole_4,hole_of(pigeon_2)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry)]) ).

cnf(g104,plain,
    ( ~ sPE(pigeon_1,pigeon_1)
    | ~ sPE(hole_2,hole_of(pigeon_2))
    | ~ in(pigeon_1,hole_2)
    | in(pigeon_1,hole_of(pigeon_2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g105,plain,
    ( ~ sPE(pigeon_3,pigeon_3)
    | ~ sPE(hole_1,hole_of(pigeon_4))
    | ~ in(pigeon_3,hole_1)
    | in(pigeon_3,hole_of(pigeon_4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g106,plain,
    ( ~ sPE(pigeon_3,pigeon_3)
    | ~ sPE(hole_2,hole_of(pigeon_4))
    | ~ in(pigeon_3,hole_2)
    | in(pigeon_3,hole_of(pigeon_4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g107,plain,
    ( ~ sPE(pigeon_3,pigeon_3)
    | ~ sPE(hole_3,hole_of(pigeon_4))
    | ~ in(pigeon_3,hole_3)
    | in(pigeon_3,hole_of(pigeon_4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g108,plain,
    ( ~ sPE(pigeon_3,pigeon_3)
    | ~ sPE(hole_4,hole_of(pigeon_4))
    | ~ in(pigeon_3,hole_4)
    | in(pigeon_3,hole_of(pigeon_4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g109,plain,
    ( ~ pigeon(pigeon_1)
    | ~ pigeon(pigeon_2)
    | ~ hole(hole_1)
    | ~ in(pigeon_1,hole_1)
    | ~ in(pigeon_2,hole_1)
    | sPE(pigeon_1,pigeon_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g110,plain,
    ( ~ sPE(hole_of(pigeon_1),hole_1)
    | sPE(hole_1,hole_of(pigeon_1)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry)]) ).

cnf(g111,plain,
    ~ sPE(pigeon_4,pigeon_5),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_4_is_not_pigeon_5)]) ).

cnf(g112,plain,
    ( ~ sPE(pigeon_3,pigeon_3)
    | ~ sPE(hole_1,hole_of(pigeon_1))
    | ~ in(pigeon_3,hole_1)
    | in(pigeon_3,hole_of(pigeon_1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g113,plain,
    ( ~ sPE(pigeon_5,pigeon_5)
    | ~ sPE(hole_1,hole_of(pigeon_1))
    | ~ in(pigeon_5,hole_1)
    | in(pigeon_5,hole_of(pigeon_1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g114,plain,
    ( ~ pigeon(pigeon_5)
    | ~ pigeon(pigeon_2)
    | ~ hole(hole_1)
    | ~ in(pigeon_5,hole_1)
    | ~ in(pigeon_2,hole_1)
    | sPE(pigeon_5,pigeon_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g115,plain,
    ( ~ sPE(pigeon_5,pigeon_5)
    | ~ sPE(hole_2,hole_of(pigeon_2))
    | ~ in(pigeon_5,hole_2)
    | in(pigeon_5,hole_of(pigeon_2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g116,plain,
    ( ~ pigeon(pigeon_4)
    | ~ pigeon(pigeon_5)
    | ~ hole(hole_of(pigeon_5))
    | ~ in(pigeon_4,hole_of(pigeon_5))
    | ~ in(pigeon_5,hole_of(pigeon_5))
    | sPE(pigeon_4,pigeon_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g117,plain,
    ( ~ pigeon(pigeon_2)
    | ~ pigeon(pigeon_5)
    | ~ hole(hole_3)
    | ~ in(pigeon_2,hole_3)
    | ~ in(pigeon_5,hole_3)
    | sPE(pigeon_2,pigeon_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g118,plain,
    ( ~ sPE(pigeon_5,pigeon_5)
    | ~ sPE(hole_of(pigeon_5),hole_3)
    | ~ in(pigeon_5,hole_of(pigeon_5))
    | in(pigeon_5,hole_3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g119,plain,
    ( ~ pigeon(pigeon_1)
    | ~ pigeon(pigeon_5)
    | ~ hole(hole_4)
    | ~ in(pigeon_1,hole_4)
    | ~ in(pigeon_5,hole_4)
    | sPE(pigeon_1,pigeon_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g120,plain,
    ( ~ pigeon(pigeon_5)
    | ~ pigeon(pigeon_1)
    | ~ hole(hole_of(pigeon_1))
    | ~ in(pigeon_5,hole_of(pigeon_1))
    | ~ in(pigeon_1,hole_of(pigeon_1))
    | sPE(pigeon_5,pigeon_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g121,plain,
    ( ~ pigeon(pigeon_5)
    | ~ pigeon(pigeon_4)
    | ~ hole(hole_3)
    | ~ in(pigeon_5,hole_3)
    | ~ in(pigeon_4,hole_3)
    | sPE(pigeon_5,pigeon_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g122,plain,
    ( ~ pigeon(pigeon_4)
    | ~ pigeon(pigeon_5)
    | ~ hole(hole_3)
    | ~ in(pigeon_4,hole_3)
    | ~ in(pigeon_5,hole_3)
    | sPE(pigeon_4,pigeon_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g123,plain,
    ~ sPE(pigeon_2,pigeon_4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_2_is_not_pigeon_4)]) ).

cnf(g124,plain,
    ( ~ sPE(pigeon_5,pigeon_4)
    | ~ sPE(hole_of(pigeon_5),hole_of(pigeon_5))
    | ~ in(pigeon_5,hole_of(pigeon_5))
    | in(pigeon_4,hole_of(pigeon_5)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g125,plain,
    ( ~ sPE(pigeon_4,pigeon_4)
    | ~ sPE(hole_3,hole_of(pigeon_1))
    | ~ in(pigeon_4,hole_3)
    | in(pigeon_4,hole_of(pigeon_1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g126,plain,
    ( ~ sPE(pigeon_4,pigeon_4)
    | ~ sPE(hole_2,hole_of(pigeon_1))
    | ~ in(pigeon_4,hole_2)
    | in(pigeon_4,hole_of(pigeon_1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g127,plain,
    ( ~ pigeon(pigeon_3)
    | ~ pigeon(pigeon_1)
    | ~ hole(hole_3)
    | ~ in(pigeon_3,hole_3)
    | ~ in(pigeon_1,hole_3)
    | sPE(pigeon_3,pigeon_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g128,plain,
    ( ~ sPE(pigeon_3,pigeon_3)
    | ~ sPE(hole_4,hole_of(pigeon_2))
    | ~ in(pigeon_3,hole_4)
    | in(pigeon_3,hole_of(pigeon_2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g129,plain,
    ~ sPE(pigeon_2,pigeon_5),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_2_is_not_pigeon_5)]) ).

cnf(g130,plain,
    ( ~ pigeon(pigeon_2)
    | ~ pigeon(pigeon_5)
    | ~ hole(hole_4)
    | ~ in(pigeon_2,hole_4)
    | ~ in(pigeon_5,hole_4)
    | sPE(pigeon_2,pigeon_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g131,plain,
    ( ~ sPE(pigeon_5,pigeon_5)
    | ~ sPE(hole_of(pigeon_5),hole_4)
    | ~ in(pigeon_5,hole_of(pigeon_5))
    | in(pigeon_5,hole_4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g132,plain,
    ( ~ sPE(pigeon_5,pigeon_5)
    | ~ sPE(hole_of(pigeon_5),hole_1)
    | ~ in(pigeon_5,hole_of(pigeon_5))
    | in(pigeon_5,hole_1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g133,plain,
    ( ~ pigeon(pigeon_2)
    | ~ pigeon(pigeon_4)
    | ~ hole(hole_1)
    | ~ in(pigeon_2,hole_1)
    | ~ in(pigeon_4,hole_1)
    | sPE(pigeon_2,pigeon_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

cnf(g134,plain,
    ( ~ pigeon(pigeon_1)
    | ~ pigeon(pigeon_5)
    | ~ hole(hole_3)
    | ~ in(pigeon_1,hole_3)
    | ~ in(pigeon_5,hole_3)
    | sPE(pigeon_1,pigeon_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : MSC007-2.005 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command  : satcop --statistics %s
% 0.12/0.35  % Computer : n026.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 600
% 0.12/0.35  % DateTime : Fri Jul  1 15:23:34 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 0.20/0.44  % symbols: 15
% 0.20/0.44  % clauses: 38
% 0.20/0.44  % start clauses: 1
% 0.20/0.44  % iterative deepening steps: 908
% 0.20/0.44  % maximum path limit: 5
% 0.20/0.44  % literal attempts: 152462
% 0.20/0.44  % depth failures: 96937
% 0.20/0.44  % regularity failures: 12963
% 0.20/0.44  % tautology failures: 27681
% 0.20/0.44  % reductions: 2642
% 0.20/0.44  % extensions: 148999
% 0.20/0.44  % SAT variables: 5041
% 0.20/0.44  % SAT clauses: 21520
% 0.20/0.44  % WalkSAT solutions: 21518
% 0.20/0.44  % CDCL solutions: 0
% 0.20/0.44  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.44  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------