TSTP Solution File: SYN519+1 by Paradox---4.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Paradox---4.0
% Problem : SYN519+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp:short
% Command : paradox --no-progress --time %d --tstp --model %s
% Computer : n018.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 : Thu Jul 21 09:48:27 EDT 2022
% Result : CounterSatisfiable 0.38s 0.59s
% Output : FiniteModel 0.38s
% Verified :
% SZS Type : FiniteModel
% Domain size : 3
% Comments :
%------------------------------------------------------------------------------
% domain size is 3
fof(domain,fi_domain,
! [X] :
( X = "1"
| X = "2"
| X = "3" ) ).
fof(a1,fi_functors,
a1 = "1" ).
fof(a10,fi_functors,
a10 = "1" ).
fof(a100,fi_functors,
a100 = "1" ).
fof(a101,fi_functors,
a101 = "3" ).
fof(a102,fi_functors,
a102 = "3" ).
fof(a103,fi_functors,
a103 = "3" ).
fof(a104,fi_functors,
a104 = "1" ).
fof(a105,fi_functors,
a105 = "1" ).
fof(a106,fi_functors,
a106 = "1" ).
fof(a107,fi_functors,
a107 = "1" ).
fof(a108,fi_functors,
a108 = "1" ).
fof(a109,fi_functors,
a109 = "3" ).
fof(a11,fi_functors,
a11 = "1" ).
fof(a110,fi_functors,
a110 = "1" ).
fof(a111,fi_functors,
a111 = "2" ).
fof(a112,fi_functors,
a112 = "1" ).
fof(a113,fi_functors,
a113 = "1" ).
fof(a114,fi_functors,
a114 = "1" ).
fof(a115,fi_functors,
a115 = "1" ).
fof(a116,fi_functors,
a116 = "3" ).
fof(a117,fi_functors,
a117 = "1" ).
fof(a118,fi_functors,
a118 = "1" ).
fof(a119,fi_functors,
a119 = "1" ).
fof(a12,fi_functors,
a12 = "1" ).
fof(a120,fi_functors,
a120 = "1" ).
fof(a121,fi_functors,
a121 = "1" ).
fof(a122,fi_functors,
a122 = "2" ).
fof(a123,fi_functors,
a123 = "1" ).
fof(a124,fi_functors,
a124 = "2" ).
fof(a125,fi_functors,
a125 = "1" ).
fof(a126,fi_functors,
a126 = "3" ).
fof(a127,fi_functors,
a127 = "3" ).
fof(a128,fi_functors,
a128 = "3" ).
fof(a129,fi_functors,
a129 = "2" ).
fof(a13,fi_functors,
a13 = "1" ).
fof(a130,fi_functors,
a130 = "2" ).
fof(a131,fi_functors,
a131 = "1" ).
fof(a132,fi_functors,
a132 = "2" ).
fof(a133,fi_functors,
a133 = "1" ).
fof(a134,fi_functors,
a134 = "3" ).
fof(a135,fi_functors,
a135 = "1" ).
fof(a136,fi_functors,
a136 = "2" ).
fof(a137,fi_functors,
a137 = "1" ).
fof(a138,fi_functors,
a138 = "3" ).
fof(a139,fi_functors,
a139 = "2" ).
fof(a14,fi_functors,
a14 = "1" ).
fof(a140,fi_functors,
a140 = "3" ).
fof(a141,fi_functors,
a141 = "1" ).
fof(a142,fi_functors,
a142 = "1" ).
fof(a143,fi_functors,
a143 = "1" ).
fof(a144,fi_functors,
a144 = "3" ).
fof(a145,fi_functors,
a145 = "1" ).
fof(a146,fi_functors,
a146 = "3" ).
fof(a147,fi_functors,
a147 = "2" ).
fof(a148,fi_functors,
a148 = "1" ).
fof(a149,fi_functors,
a149 = "1" ).
fof(a15,fi_functors,
a15 = "1" ).
fof(a150,fi_functors,
a150 = "2" ).
fof(a151,fi_functors,
a151 = "1" ).
fof(a152,fi_functors,
a152 = "2" ).
fof(a153,fi_functors,
a153 = "1" ).
fof(a154,fi_functors,
a154 = "1" ).
fof(a155,fi_functors,
a155 = "2" ).
fof(a156,fi_functors,
a156 = "2" ).
fof(a157,fi_functors,
a157 = "1" ).
fof(a158,fi_functors,
a158 = "3" ).
fof(a159,fi_functors,
a159 = "3" ).
fof(a16,fi_functors,
a16 = "1" ).
fof(a160,fi_functors,
a160 = "1" ).
fof(a161,fi_functors,
a161 = "1" ).
fof(a162,fi_functors,
a162 = "1" ).
fof(a163,fi_functors,
a163 = "3" ).
fof(a164,fi_functors,
a164 = "1" ).
fof(a165,fi_functors,
a165 = "1" ).
fof(a166,fi_functors,
a166 = "1" ).
fof(a167,fi_functors,
a167 = "2" ).
fof(a168,fi_functors,
a168 = "1" ).
fof(a169,fi_functors,
a169 = "1" ).
fof(a17,fi_functors,
a17 = "1" ).
fof(a170,fi_functors,
a170 = "1" ).
fof(a171,fi_functors,
a171 = "1" ).
fof(a172,fi_functors,
a172 = "3" ).
fof(a173,fi_functors,
a173 = "1" ).
fof(a174,fi_functors,
a174 = "3" ).
fof(a18,fi_functors,
a18 = "1" ).
fof(a19,fi_functors,
a19 = "1" ).
fof(a2,fi_functors,
a2 = "1" ).
fof(a20,fi_functors,
a20 = "1" ).
fof(a21,fi_functors,
a21 = "1" ).
fof(a22,fi_functors,
a22 = "1" ).
fof(a23,fi_functors,
a23 = "1" ).
fof(a24,fi_functors,
a24 = "1" ).
fof(a25,fi_functors,
a25 = "2" ).
fof(a26,fi_functors,
a26 = "2" ).
fof(a27,fi_functors,
a27 = "1" ).
fof(a28,fi_functors,
a28 = "2" ).
fof(a29,fi_functors,
a29 = "2" ).
fof(a3,fi_functors,
a3 = "1" ).
fof(a30,fi_functors,
a30 = "1" ).
fof(a31,fi_functors,
a31 = "3" ).
fof(a32,fi_functors,
a32 = "3" ).
fof(a33,fi_functors,
a33 = "2" ).
fof(a34,fi_functors,
a34 = "1" ).
fof(a35,fi_functors,
a35 = "1" ).
fof(a36,fi_functors,
a36 = "1" ).
fof(a37,fi_functors,
a37 = "1" ).
fof(a38,fi_functors,
a38 = "2" ).
fof(a39,fi_functors,
a39 = "1" ).
fof(a4,fi_functors,
a4 = "1" ).
fof(a40,fi_functors,
a40 = "1" ).
fof(a41,fi_functors,
a41 = "3" ).
fof(a42,fi_functors,
a42 = "3" ).
fof(a43,fi_functors,
a43 = "3" ).
fof(a44,fi_functors,
a44 = "2" ).
fof(a45,fi_functors,
a45 = "2" ).
fof(a46,fi_functors,
a46 = "3" ).
fof(a47,fi_functors,
a47 = "2" ).
fof(a48,fi_functors,
a48 = "2" ).
fof(a49,fi_functors,
a49 = "2" ).
fof(a5,fi_functors,
a5 = "1" ).
fof(a50,fi_functors,
a50 = "1" ).
fof(a51,fi_functors,
a51 = "2" ).
fof(a52,fi_functors,
a52 = "2" ).
fof(a53,fi_functors,
a53 = "2" ).
fof(a54,fi_functors,
a54 = "3" ).
fof(a55,fi_functors,
a55 = "3" ).
fof(a56,fi_functors,
a56 = "3" ).
fof(a57,fi_functors,
a57 = "3" ).
fof(a58,fi_functors,
a58 = "3" ).
fof(a59,fi_functors,
a59 = "2" ).
fof(a6,fi_functors,
a6 = "1" ).
fof(a60,fi_functors,
a60 = "2" ).
fof(a61,fi_functors,
a61 = "1" ).
fof(a62,fi_functors,
a62 = "1" ).
fof(a63,fi_functors,
a63 = "3" ).
fof(a64,fi_functors,
a64 = "2" ).
fof(a65,fi_functors,
a65 = "1" ).
fof(a66,fi_functors,
a66 = "3" ).
fof(a67,fi_functors,
a67 = "2" ).
fof(a68,fi_functors,
a68 = "2" ).
fof(a69,fi_functors,
a69 = "3" ).
fof(a7,fi_functors,
a7 = "1" ).
fof(a70,fi_functors,
a70 = "2" ).
fof(a71,fi_functors,
a71 = "1" ).
fof(a72,fi_functors,
a72 = "2" ).
fof(a73,fi_functors,
a73 = "2" ).
fof(a74,fi_functors,
a74 = "2" ).
fof(a75,fi_functors,
a75 = "2" ).
fof(a76,fi_functors,
a76 = "1" ).
fof(a77,fi_functors,
a77 = "2" ).
fof(a78,fi_functors,
a78 = "1" ).
fof(a79,fi_functors,
a79 = "1" ).
fof(a8,fi_functors,
a8 = "1" ).
fof(a80,fi_functors,
a80 = "2" ).
fof(a81,fi_functors,
a81 = "2" ).
fof(a82,fi_functors,
a82 = "3" ).
fof(a83,fi_functors,
a83 = "2" ).
fof(a84,fi_functors,
a84 = "2" ).
fof(a85,fi_functors,
a85 = "1" ).
fof(a86,fi_functors,
a86 = "3" ).
fof(a87,fi_functors,
a87 = "2" ).
fof(a88,fi_functors,
a88 = "2" ).
fof(a89,fi_functors,
a89 = "2" ).
fof(a9,fi_functors,
a9 = "1" ).
fof(a90,fi_functors,
a90 = "2" ).
fof(a91,fi_functors,
a91 = "2" ).
fof(a92,fi_functors,
a92 = "2" ).
fof(a93,fi_functors,
a93 = "2" ).
fof(a94,fi_functors,
a94 = "3" ).
fof(a95,fi_functors,
a95 = "1" ).
fof(a96,fi_functors,
a96 = "2" ).
fof(a97,fi_functors,
a97 = "1" ).
fof(a98,fi_functors,
a98 = "1" ).
fof(a99,fi_functors,
a99 = "2" ).
fof(c0_1,fi_predicates,
( ( c0_1("1")
<=> $false )
& ( c0_1("2")
<=> c0_1("1") )
& ( c0_1("3")
<=> c0_1("2") ) ) ).
fof(c1_0,fi_predicates,
( c1_0
<=> $true ) ).
fof(c1_1,fi_predicates,
( ( c1_1("1")
<=> $true )
& ( c1_1("2")
<=> $false )
& ( c1_1("3")
<=> $true ) ) ).
fof(c1_2,fi_predicates,
( ( c1_2("1","1")
<=> $true )
& ( c1_2("1","2")
<=> $false )
& ( c1_2("1","3")
<=> $true )
& ( c1_2("2","1")
<=> $true )
& ( c1_2("2","2")
<=> $true )
& ( c1_2("2","3")
<=> $true )
& ( c1_2("3","1")
<=> $true )
& ( c1_2("3","2")
<=> $false )
& ( c1_2("3","3")
<=> $false ) ) ).
fof(c2_0,fi_predicates,
( c2_0
<=> $true ) ).
fof(c2_1,fi_predicates,
( ( c2_1("1")
<=> $false )
& ( c2_1("2")
<=> $true )
& ( c2_1("3")
<=> $true ) ) ).
fof(c2_2,fi_predicates,
( ( c2_2("1","1")
<=> $false )
& ( c2_2("1","2")
<=> $false )
& ( c2_2("1","3")
<=> $true )
& ( c2_2("2","1")
<=> $true )
& ( c2_2("2","2")
<=> $true )
& ( c2_2("2","3")
<=> $false )
& ( c2_2("3","1")
<=> $true )
& ( c2_2("3","2")
<=> $false )
& ( c2_2("3","3")
<=> $true ) ) ).
fof(c3_0,fi_predicates,
( c3_0
<=> $false ) ).
fof(c3_1,fi_predicates,
( ( c3_1("1")
<=> $true )
& ( c3_1("2")
<=> $false )
& ( c3_1("3")
<=> $true ) ) ).
fof(c3_2,fi_predicates,
( ( c3_2("1","1")
<=> $true )
& ( c3_2("1","2")
<=> $true )
& ( c3_2("1","3")
<=> $false )
& ( c3_2("2","1")
<=> $true )
& ( c3_2("2","2")
<=> $true )
& ( c3_2("2","3")
<=> $false )
& ( c3_2("3","1")
<=> $false )
& ( c3_2("3","2")
<=> $true )
& ( c3_2("3","3")
<=> $true ) ) ).
fof(c4_0,fi_predicates,
( c4_0
<=> $true ) ).
fof(c4_1,fi_predicates,
( ( c4_1("1")
<=> $false )
& ( c4_1("2")
<=> $false )
& ( c4_1("3")
<=> $true ) ) ).
fof(c4_2,fi_predicates,
( ( c4_2("1","1")
<=> $true )
& ( c4_2("1","2")
<=> $false )
& ( c4_2("1","3")
<=> $false )
& ( c4_2("2","1")
<=> $true )
& ( c4_2("2","2")
<=> $false )
& ( c4_2("2","3")
<=> $true )
& ( c4_2("3","1")
<=> $true )
& ( c4_2("3","2")
<=> $false )
& ( c4_2("3","3")
<=> $true ) ) ).
fof(c5_0,fi_predicates,
( c5_0
<=> $false ) ).
fof(c5_1,fi_predicates,
( ( c5_1("1")
<=> $false )
& ( c5_1("2")
<=> $false )
& ( c5_1("3")
<=> $true ) ) ).
fof(c5_2,fi_predicates,
( ( c5_2("1","1")
<=> $true )
& ( c5_2("1","2")
<=> $false )
& ( c5_2("1","3")
<=> $false )
& ( c5_2("2","1")
<=> $false )
& ( c5_2("2","2")
<=> $true )
& ( c5_2("2","3")
<=> $true )
& ( c5_2("3","1")
<=> $true )
& ( c5_2("3","2")
<=> $false )
& ( c5_2("3","3")
<=> $true ) ) ).
fof(ndr1_0,fi_predicates,
( ndr1_0
<=> $true ) ).
fof(ndr1_1,fi_predicates,
( ( ndr1_1("1")
<=> $true )
& ( ndr1_1("2")
<=> $true )
& ( ndr1_1("3")
<=> $true ) ) ).
fof(sP0_co1_or,fi_predicates,
( sP0_co1_or
<=> $false ) ).
fof(sP10_co1_or,fi_predicates,
( ( sP10_co1_or("1")
<=> $true )
& ( sP10_co1_or("2")
<=> $false )
& ( sP10_co1_or("3")
<=> $true ) ) ).
fof(sP11_co1_or,fi_predicates,
( sP11_co1_or
<=> $false ) ).
fof(sP12_co1_or,fi_predicates,
( sP12_co1_or
<=> $true ) ).
fof(sP13_co1_or,fi_predicates,
( sP13_co1_or
<=> $false ) ).
fof(sP14_co1_or,fi_predicates,
( sP14_co1_or
<=> $true ) ).
fof(sP15_co1_or,fi_predicates,
( sP15_co1_or
<=> $false ) ).
fof(sP16_co1_or,fi_predicates,
( sP16_co1_or
<=> $false ) ).
fof(sP17_co1_or,fi_predicates,
( sP17_co1_or
<=> $false ) ).
fof(sP18_co1_or,fi_predicates,
( sP18_co1_or
<=> $false ) ).
fof(sP19_co1_or,fi_predicates,
( ( sP19_co1_or("1")
<=> $false )
& ( sP19_co1_or("2")
<=> $false )
& ( sP19_co1_or("3")
<=> $false ) ) ).
fof(sP1_co1_or,fi_predicates,
( ( sP1_co1_or("1")
<=> $false )
& ( sP1_co1_or("2")
<=> $false )
& ( sP1_co1_or("3")
<=> $false ) ) ).
fof(sP20_co1_or,fi_predicates,
( sP20_co1_or
<=> $false ) ).
fof(sP21_co1_or,fi_predicates,
( ( sP21_co1_or("1")
<=> $false )
& ( sP21_co1_or("2")
<=> $false )
& ( sP21_co1_or("3")
<=> $false ) ) ).
fof(sP22_co1_or,fi_predicates,
( sP22_co1_or
<=> $true ) ).
fof(sP23_co1_or,fi_predicates,
( sP23_co1_or
<=> $false ) ).
fof(sP24_co1_or,fi_predicates,
( ( sP24_co1_or("1")
<=> $false )
& ( sP24_co1_or("2")
<=> $false )
& ( sP24_co1_or("3")
<=> $false ) ) ).
fof(sP25_co1_or,fi_predicates,
( sP25_co1_or
<=> $false ) ).
fof(sP26_co1_or,fi_predicates,
( sP26_co1_or
<=> $false ) ).
fof(sP27_co1_or,fi_predicates,
( sP27_co1_or
<=> $true ) ).
fof(sP28_co1_or,fi_predicates,
( sP28_co1_or
<=> $false ) ).
fof(sP29_co1_or,fi_predicates,
( sP29_co1_or
<=> $false ) ).
fof(sP2_co1_or,fi_predicates,
( sP2_co1_or
<=> $false ) ).
fof(sP30_co1_or,fi_predicates,
( sP30_co1_or
<=> $false ) ).
fof(sP31_co1_or,fi_predicates,
( sP31_co1_or
<=> $true ) ).
fof(sP32_co1_or,fi_predicates,
( sP32_co1_or
<=> $true ) ).
fof(sP33_co1_or,fi_predicates,
( sP33_co1_or
<=> $false ) ).
fof(sP34_co1_or,fi_predicates,
( sP34_co1_or
<=> $true ) ).
fof(sP35_co1_or,fi_predicates,
( sP35_co1_or
<=> $true ) ).
fof(sP36_co1_or,fi_predicates,
( sP36_co1_or
<=> $false ) ).
fof(sP37_co1_or,fi_predicates,
( sP37_co1_or
<=> $true ) ).
fof(sP38_co1_or,fi_predicates,
( sP38_co1_or
<=> $true ) ).
fof(sP39_co1_or,fi_predicates,
( sP39_co1_or
<=> $true ) ).
fof(sP3_co1_or,fi_predicates,
( sP3_co1_or
<=> $false ) ).
fof(sP40_co1_or,fi_predicates,
( sP40_co1_or
<=> $true ) ).
fof(sP41_co1_or,fi_predicates,
( sP41_co1_or
<=> $true ) ).
fof(sP42_co1_or,fi_predicates,
( sP42_co1_or
<=> $true ) ).
fof(sP43_co1_or,fi_predicates,
( sP43_co1_or
<=> $true ) ).
fof(sP44_co1_or,fi_predicates,
( sP44_co1_or
<=> $false ) ).
fof(sP45_co1_or,fi_predicates,
( sP45_co1_or
<=> $false ) ).
fof(sP46_co1_or,fi_predicates,
( sP46_co1_or
<=> $false ) ).
fof(sP47_co1_or,fi_predicates,
( sP47_co1_or
<=> $false ) ).
fof(sP48_co1_or,fi_predicates,
( sP48_co1_or
<=> $true ) ).
fof(sP49_co1_or,fi_predicates,
( sP49_co1_or
<=> $false ) ).
fof(sP4_co1_or,fi_predicates,
( sP4_co1_or
<=> $false ) ).
fof(sP50_co1_or,fi_predicates,
( ( sP50_co1_or("1")
<=> $true )
& ( sP50_co1_or("2")
<=> $false )
& ( sP50_co1_or("3")
<=> $false ) ) ).
fof(sP51_co1_or,fi_predicates,
( ( sP51_co1_or("1")
<=> $true )
& ( sP51_co1_or("2")
<=> $false )
& ( sP51_co1_or("3")
<=> $false ) ) ).
fof(sP52_co1_or,fi_predicates,
( ( sP52_co1_or("1")
<=> $false )
& ( sP52_co1_or("2")
<=> $false )
& ( sP52_co1_or("3")
<=> $false ) ) ).
fof(sP5_co1_or,fi_predicates,
( ( sP5_co1_or("1")
<=> $false )
& ( sP5_co1_or("2")
<=> $false )
& ( sP5_co1_or("3")
<=> $false ) ) ).
fof(sP6_co1_or,fi_predicates,
( sP6_co1_or
<=> $true ) ).
fof(sP7_co1_or,fi_predicates,
( sP7_co1_or
<=> $true ) ).
fof(sP8_co1_or,fi_predicates,
( sP8_co1_or
<=> $true ) ).
fof(sP9_co1_or,fi_predicates,
( ( sP9_co1_or("1")
<=> $true )
& ( sP9_co1_or("2")
<=> $false )
& ( sP9_co1_or("3")
<=> $false ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN519+1 : TPTP v8.1.0. Released v2.1.0.
% 0.06/0.12 % Command : paradox --no-progress --time %d --tstp --model %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 12 01:43:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 Paradox, version 4.0, 2010-06-29.
% 0.12/0.33 +++ PROBLEM: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 Reading '/export/starexec/sandbox/benchmark/theBenchmark.p' ... OK
% 0.18/0.45 +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.59 +++ BEGIN MODEL
% 0.38/0.59 SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.38/0.59 +++ END MODEL
% 0.38/0.59 +++ RESULT: CounterSatisfiable
% 0.38/0.59 SZS status CounterSatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------