TSTP Solution File: SYN156-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN156-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n025.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 : Wed Aug 31 19:37:03 EDT 2022
% Result : Unsatisfiable 2.20s 0.63s
% Output : Refutation 2.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 61
% Syntax : Number of formulae : 148 ( 33 unt; 0 def)
% Number of atoms : 371 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 438 ( 215 ~; 201 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 45 ( 44 usr; 23 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 118 ( 118 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3283,plain,
$false,
inference(avatar_sat_refutation,[],[f454,f527,f670,f694,f832,f900,f1027,f1072,f1224,f1244,f1283,f1336,f1406,f1509,f1533,f1565,f1568,f1574,f1654,f1669,f3197,f3199,f3282]) ).
fof(f3282,plain,
( ~ spl0_10
| ~ spl0_12
| ~ spl0_22
| ~ spl0_74
| ~ spl0_99
| ~ spl0_101
| ~ spl0_114
| ~ spl0_130 ),
inference(avatar_contradiction_clause,[],[f3281]) ).
fof(f3281,plain,
( $false
| ~ spl0_10
| ~ spl0_12
| ~ spl0_22
| ~ spl0_74
| ~ spl0_99
| ~ spl0_101
| ~ spl0_114
| ~ spl0_130 ),
inference(subsumption_resolution,[],[f3280,f416]) ).
fof(f416,plain,
( n2(e)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f414,plain,
( spl0_12
<=> n2(e) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f3280,plain,
( ~ n2(e)
| ~ spl0_10
| ~ spl0_22
| ~ spl0_74
| ~ spl0_99
| ~ spl0_101
| ~ spl0_114
| ~ spl0_130 ),
inference(subsumption_resolution,[],[f3267,f1846]) ).
fof(f1846,plain,
( l2(e,e)
| ~ spl0_114
| ~ spl0_130 ),
inference(resolution,[],[f1728,f8]) ).
fof(f8,axiom,
m0(e,d,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f1728,plain,
( ! [X3,X11,X6] :
( ~ m0(X6,X11,X3)
| l2(X3,X3) )
| ~ spl0_114
| ~ spl0_130 ),
inference(subsumption_resolution,[],[f899,f1578]) ).
fof(f1578,plain,
( ! [X0] : s1(X0)
| ~ spl0_114 ),
inference(resolution,[],[f831,f17]) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f831,plain,
( ! [X9,X4] :
( ~ q0(X9,X4)
| s1(X9) )
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f830]) ).
fof(f830,plain,
( spl0_114
<=> ! [X4,X9] :
( ~ q0(X9,X4)
| s1(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f899,plain,
( ! [X3,X11,X6] :
( ~ m0(X6,X11,X3)
| l2(X3,X3)
| ~ s1(X11) )
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f898,plain,
( spl0_130
<=> ! [X6,X11,X3] :
( ~ m0(X6,X11,X3)
| l2(X3,X3)
| ~ s1(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f3267,plain,
( ~ l2(e,e)
| ~ n2(e)
| ~ spl0_10
| ~ spl0_22
| ~ spl0_74
| ~ spl0_99
| ~ spl0_101
| ~ spl0_114
| ~ spl0_130 ),
inference(resolution,[],[f3265,f270]) ).
fof(f270,axiom,
! [X4] :
( m3(X4,X4,X4)
| ~ l2(X4,X4)
| ~ n2(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_232) ).
fof(f3265,plain,
( ! [X3] : ~ m3(e,X3,e)
| ~ spl0_10
| ~ spl0_22
| ~ spl0_74
| ~ spl0_99
| ~ spl0_101
| ~ spl0_114
| ~ spl0_130 ),
inference(subsumption_resolution,[],[f3263,f2418]) ).
fof(f2418,plain,
( m1(e,a,e)
| ~ spl0_10
| ~ spl0_101 ),
inference(resolution,[],[f1886,f407]) ).
fof(f407,plain,
( r0(e)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f406,plain,
( spl0_10
<=> r0(e) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1886,plain,
( ! [X1] :
( ~ r0(X1)
| m1(X1,a,X1) )
| ~ spl0_101 ),
inference(resolution,[],[f73,f777]) ).
fof(f777,plain,
( l0(a)
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f776,plain,
( spl0_101
<=> l0(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f73,axiom,
! [X2,X3] :
( ~ l0(X3)
| ~ r0(X2)
| m1(X2,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_035) ).
fof(f3263,plain,
( ! [X3] :
( ~ m1(e,a,e)
| ~ m3(e,X3,e) )
| ~ spl0_22
| ~ spl0_74
| ~ spl0_99
| ~ spl0_114
| ~ spl0_130 ),
inference(resolution,[],[f3256,f2955]) ).
fof(f2955,plain,
( ! [X11,X12] :
( p2(X11,X12,X12)
| ~ m1(X12,X11,X12) )
| ~ spl0_74
| ~ spl0_99 ),
inference(resolution,[],[f2946,f214]) ).
fof(f214,axiom,
! [X8,X7] :
( p2(X7,X8,X7)
| ~ m1(X8,X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_176) ).
fof(f2946,plain,
( ! [X8,X7] :
( ~ p2(X7,X8,X7)
| p2(X7,X8,X8) )
| ~ spl0_74
| ~ spl0_99 ),
inference(subsumption_resolution,[],[f2943,f2684]) ).
fof(f2684,plain,
( ! [X0,X1] : p1(X0,X1,a)
| ~ spl0_74
| ~ spl0_99 ),
inference(resolution,[],[f2680,f2630]) ).
fof(f2630,plain,
! [X6,X7] :
( ~ p1(a,X6,a)
| p1(X6,X7,a) ),
inference(resolution,[],[f120,f12]) ).
fof(f12,axiom,
! [X0] : m0(a,X0,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(f120,axiom,
! [X2,X3,X10,X5] :
( ~ m0(X3,X5,X10)
| ~ p1(X3,X5,X10)
| p1(X5,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_082) ).
fof(f2680,plain,
( ! [X4] : p1(a,X4,a)
| ~ spl0_74
| ~ spl0_99 ),
inference(subsumption_resolution,[],[f2679,f769]) ).
fof(f769,plain,
( k1(a)
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f768,plain,
( spl0_99
<=> k1(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f2679,plain,
( ! [X4] :
( p1(a,X4,a)
| ~ k1(a) )
| ~ spl0_74 ),
inference(resolution,[],[f2630,f665]) ).
fof(f665,plain,
( ! [X10] :
( p1(X10,X10,X10)
| ~ k1(X10) )
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f664,plain,
( spl0_74
<=> ! [X10] :
( ~ k1(X10)
| p1(X10,X10,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f2943,plain,
! [X8,X7] :
( p2(X7,X8,X8)
| ~ p1(X7,a,a)
| ~ p2(X7,X8,X7) ),
inference(resolution,[],[f184,f1601]) ).
fof(f1601,plain,
l1(a,a),
inference(resolution,[],[f40,f37]) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
fof(f40,axiom,
! [X4,X5] :
( ~ n0(X5,X4)
| l1(X4,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_002) ).
fof(f184,axiom,
! [X8,X6,X9,X7] :
( ~ l1(X8,X9)
| p2(X6,X7,X7)
| ~ p1(X6,X8,X9)
| ~ p2(X6,X7,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_146) ).
fof(f3256,plain,
( ! [X2,X1] :
( ~ p2(a,e,X2)
| ~ m3(e,X1,X2) )
| ~ spl0_22
| ~ spl0_114
| ~ spl0_130 ),
inference(resolution,[],[f3249,f289]) ).
fof(f289,axiom,
! [X10,X11,X6,X7] :
( p3(X10,X11,X11)
| ~ m3(X11,X6,X7)
| ~ p2(X10,X11,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_251) ).
fof(f3249,plain,
( ~ p3(a,e,e)
| ~ spl0_22
| ~ spl0_114
| ~ spl0_130 ),
inference(resolution,[],[f3247,f369]) ).
fof(f369,axiom,
~ n4(a,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f3247,plain,
( ! [X6,X5] :
( n4(X5,X6)
| ~ p3(X5,X6,X6) )
| ~ spl0_22
| ~ spl0_114
| ~ spl0_130 ),
inference(resolution,[],[f3243,f319]) ).
fof(f319,axiom,
! [X3,X10] :
( ~ n4(X3,X3)
| ~ p3(X3,X10,X10)
| n4(X3,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_281) ).
fof(f3243,plain,
( ! [X0] : n4(X0,X0)
| ~ spl0_22
| ~ spl0_114
| ~ spl0_130 ),
inference(subsumption_resolution,[],[f3242,f1766]) ).
fof(f1766,plain,
! [X0] : n2(X0),
inference(resolution,[],[f1746,f175]) ).
fof(f175,axiom,
! [X10,X11,X6] :
( ~ p1(X11,X6,X10)
| n2(X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_137) ).
fof(f1746,plain,
! [X0] : p1(X0,X0,X0),
inference(resolution,[],[f123,f14]) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f123,axiom,
! [X11,X6] :
( ~ p0(X6,X11)
| p1(X11,X11,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_085) ).
fof(f3242,plain,
( ! [X0] :
( ~ n2(X0)
| n4(X0,X0) )
| ~ spl0_22
| ~ spl0_114
| ~ spl0_130 ),
inference(subsumption_resolution,[],[f3232,f1844]) ).
fof(f1844,plain,
( ! [X0] : l2(X0,X0)
| ~ spl0_114
| ~ spl0_130 ),
inference(resolution,[],[f1728,f19]) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f3232,plain,
( ! [X0] :
( ~ l2(X0,X0)
| ~ n2(X0)
| n4(X0,X0) )
| ~ spl0_22 ),
inference(resolution,[],[f453,f270]) ).
fof(f453,plain,
( ! [X5] :
( ~ m3(X5,X5,X5)
| n4(X5,X5) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f452,plain,
( spl0_22
<=> ! [X5] :
( n4(X5,X5)
| ~ m3(X5,X5,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f3199,plain,
( ~ spl0_21
| ~ spl0_169 ),
inference(avatar_contradiction_clause,[],[f3198]) ).
fof(f3198,plain,
( $false
| ~ spl0_21
| ~ spl0_169 ),
inference(subsumption_resolution,[],[f1059,f450]) ).
fof(f450,plain,
( ! [X2] : ~ k4(X2)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f449,plain,
( spl0_21
<=> ! [X2] : ~ k4(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1059,plain,
( k4(c)
| ~ spl0_169 ),
inference(avatar_component_clause,[],[f1057]) ).
fof(f1057,plain,
( spl0_169
<=> k4(c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f3197,plain,
( spl0_170
| ~ spl0_235 ),
inference(avatar_contradiction_clause,[],[f3196]) ).
fof(f3196,plain,
( $false
| spl0_170
| ~ spl0_235 ),
inference(subsumption_resolution,[],[f3190,f1063]) ).
fof(f1063,plain,
( ~ q3(e,b)
| spl0_170 ),
inference(avatar_component_clause,[],[f1061]) ).
fof(f1061,plain,
( spl0_170
<=> q3(e,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f3190,plain,
( q3(e,b)
| ~ spl0_235 ),
inference(resolution,[],[f3176,f3164]) ).
fof(f3164,plain,
! [X0] :
( ~ l1(X0,e)
| q3(e,X0) ),
inference(resolution,[],[f2399,f224]) ).
fof(f224,axiom,
! [X4,X5] :
( q2(X4,X4,X5)
| ~ l1(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_186) ).
fof(f2399,plain,
! [X4] :
( ~ q2(e,e,X4)
| q3(e,X4) ),
inference(resolution,[],[f293,f30]) ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
fof(f293,axiom,
! [X2,X4,X5] :
( ~ n0(X2,X4)
| ~ q2(X2,X4,X5)
| q3(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_255) ).
fof(f3176,plain,
( l1(b,e)
| ~ spl0_235 ),
inference(resolution,[],[f2415,f27]) ).
fof(f27,axiom,
m0(e,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
fof(f2415,plain,
( ! [X2] :
( ~ m0(X2,b,c)
| l1(b,X2) )
| ~ spl0_235 ),
inference(resolution,[],[f1335,f18]) ).
fof(f18,axiom,
p0(c,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(f1335,plain,
( ! [X8,X6,X7] :
( ~ p0(X8,X6)
| ~ m0(X7,X6,X8)
| l1(X6,X7) )
| ~ spl0_235 ),
inference(avatar_component_clause,[],[f1334]) ).
fof(f1334,plain,
( spl0_235
<=> ! [X6,X8,X7] :
( ~ p0(X8,X6)
| l1(X6,X7)
| ~ m0(X7,X6,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f1669,plain,
( spl0_171
| ~ spl0_237 ),
inference(avatar_contradiction_clause,[],[f1668]) ).
fof(f1668,plain,
( $false
| spl0_171
| ~ spl0_237 ),
inference(subsumption_resolution,[],[f1667,f1345]) ).
fof(f1345,plain,
( k1(e)
| ~ spl0_237 ),
inference(avatar_component_clause,[],[f1344]) ).
fof(f1344,plain,
( spl0_237
<=> k1(e) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f1667,plain,
( ~ k1(e)
| spl0_171 ),
inference(resolution,[],[f1658,f1067]) ).
fof(f1067,plain,
( ~ n3(e)
| spl0_171 ),
inference(avatar_component_clause,[],[f1065]) ).
fof(f1065,plain,
( spl0_171
<=> n3(e) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f1658,plain,
! [X0] :
( n3(X0)
| ~ k1(X0) ),
inference(resolution,[],[f278,f197]) ).
fof(f197,axiom,
! [X10] :
( p2(X10,X10,X10)
| ~ k1(X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_159) ).
fof(f278,axiom,
! [X8,X9,X7] :
( ~ p2(X8,X9,X7)
| n3(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_240) ).
fof(f1654,plain,
( spl0_12
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1648,f691,f414]) ).
fof(f691,plain,
( spl0_81
<=> p1(e,e,e) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f1648,plain,
( n2(e)
| ~ spl0_81 ),
inference(resolution,[],[f175,f693]) ).
fof(f693,plain,
( p1(e,e,e)
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f1574,plain,
~ spl0_111,
inference(avatar_contradiction_clause,[],[f1573]) ).
fof(f1573,plain,
( $false
| ~ spl0_111 ),
inference(subsumption_resolution,[],[f1572,f821]) ).
fof(f821,plain,
( ! [X3] : ~ s1(X3)
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f820,plain,
( spl0_111
<=> ! [X3] : ~ s1(X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f1572,plain,
s1(b),
inference(resolution,[],[f163,f14]) ).
fof(f163,axiom,
! [X2] :
( ~ p0(X2,X2)
| s1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_125) ).
fof(f1568,plain,
spl0_237,
inference(avatar_split_clause,[],[f1544,f1344]) ).
fof(f1544,plain,
k1(e),
inference(resolution,[],[f39,f30]) ).
fof(f39,axiom,
! [X2,X3] :
( ~ n0(X3,X2)
| k1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).
fof(f1565,plain,
spl0_99,
inference(avatar_split_clause,[],[f1546,f768]) ).
fof(f1546,plain,
k1(a),
inference(resolution,[],[f39,f37]) ).
fof(f1533,plain,
~ spl0_118,
inference(avatar_contradiction_clause,[],[f1532]) ).
fof(f1532,plain,
( $false
| ~ spl0_118 ),
inference(resolution,[],[f848,f14]) ).
fof(f848,plain,
( ! [X4] : ~ p0(X4,X4)
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f847,plain,
( spl0_118
<=> ! [X4] : ~ p0(X4,X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f1509,plain,
( ~ spl0_27
| ~ spl0_78 ),
inference(avatar_contradiction_clause,[],[f1508]) ).
fof(f1508,plain,
( $false
| ~ spl0_27
| ~ spl0_78 ),
inference(subsumption_resolution,[],[f472,f681]) ).
fof(f681,plain,
( ! [X4] : ~ r0(X4)
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f680,plain,
( spl0_78
<=> ! [X4] : ~ r0(X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f472,plain,
( r0(b)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f471,plain,
( spl0_27
<=> r0(b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f1406,plain,
spl0_27,
inference(avatar_split_clause,[],[f9,f471]) ).
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f1336,plain,
( spl0_78
| spl0_235 ),
inference(avatar_split_clause,[],[f41,f1334,f680]) ).
fof(f41,axiom,
! [X8,X6,X9,X7] :
( ~ p0(X8,X6)
| ~ m0(X7,X6,X8)
| ~ r0(X9)
| l1(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_003) ).
fof(f1283,plain,
spl0_101,
inference(avatar_split_clause,[],[f20,f776]) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(f1244,plain,
spl0_75,
inference(avatar_split_clause,[],[f28,f667]) ).
fof(f667,plain,
( spl0_75
<=> k0(e) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
fof(f1224,plain,
spl0_172,
inference(avatar_split_clause,[],[f34,f1069]) ).
fof(f1069,plain,
( spl0_172
<=> n0(c,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
fof(f1072,plain,
( spl0_169
| ~ spl0_170
| ~ spl0_171
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f312,f1069,f1065,f1061,f1057]) ).
fof(f312,axiom,
( ~ n0(c,d)
| ~ n3(e)
| ~ q3(e,b)
| k4(c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_274) ).
fof(f1027,plain,
spl0_4,
inference(avatar_split_clause,[],[f24,f384]) ).
fof(f384,plain,
( spl0_4
<=> l0(c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
fof(f900,plain,
( spl0_118
| spl0_130 ),
inference(avatar_split_clause,[],[f171,f898,f847]) ).
fof(f171,axiom,
! [X3,X10,X11,X6] :
( ~ m0(X6,X11,X3)
| ~ p0(X10,X10)
| ~ s1(X11)
| l2(X3,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_133) ).
fof(f832,plain,
( spl0_111
| spl0_114 ),
inference(avatar_split_clause,[],[f164,f830,f820]) ).
fof(f164,axiom,
! [X9,X4,X5] :
( ~ q0(X9,X4)
| s1(X9)
| ~ s1(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_126) ).
fof(f694,plain,
( spl0_81
| ~ spl0_10
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f128,f667,f406,f691]) ).
fof(f128,axiom,
( ~ k0(e)
| ~ r0(e)
| p1(e,e,e) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_090) ).
fof(f670,plain,
( ~ spl0_4
| spl0_74
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f117,f667,f664,f384]) ).
fof(f117,axiom,
! [X10] :
( ~ k0(e)
| ~ k1(X10)
| p1(X10,X10,X10)
| ~ l0(c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_079) ).
fof(f527,plain,
spl0_10,
inference(avatar_split_clause,[],[f13,f406]) ).
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f454,plain,
( spl0_21
| spl0_22 ),
inference(avatar_split_clause,[],[f322,f452,f449]) ).
fof(f322,axiom,
! [X2,X5] :
( n4(X5,X5)
| ~ m3(X5,X5,X5)
| ~ k4(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_284) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.11 % Problem : SYN156-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32 % Computer : n025.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 30 21:43:30 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.17/0.49 % (3934)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.49 % (3933)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.50 % (3945)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.17/0.50 % (3937)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.50 % (3958)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.17/0.51 % (3935)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.17/0.51 % (3954)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.17/0.51 % (3953)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.17/0.51 % (3952)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.17/0.51 % (3931)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.51 % (3938)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.51 % (3937)Instruction limit reached!
% 0.17/0.51 % (3937)------------------------------
% 0.17/0.51 % (3937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51 % (3932)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.17/0.51 % (3937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51 % (3937)Termination reason: Unknown
% 0.17/0.51 % (3937)Termination phase: Saturation
% 0.17/0.51
% 0.17/0.51 % (3937)Memory used [KB]: 6396
% 0.17/0.51 % (3937)Time elapsed: 0.010 s
% 0.17/0.51 % (3937)Instructions burned: 8 (million)
% 0.17/0.51 % (3937)------------------------------
% 0.17/0.51 % (3937)------------------------------
% 0.17/0.51 % (3930)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.17/0.52 % (3955)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.17/0.52 % (3944)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.17/0.52 % (3946)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.52 % (3942)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.17/0.52 % (3936)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.53 % (3957)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.17/0.53 % (3940)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.53 % (3949)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.53 % (3941)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.53 % (3947)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.17/0.53 % (3939)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.54 % (3938)Instruction limit reached!
% 0.17/0.54 % (3938)------------------------------
% 0.17/0.54 % (3938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54 % (3943)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.54 % (3948)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.54 % (3956)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.17/0.54 % (3951)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.17/0.54 % (3959)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.17/0.55 % (3931)Refutation not found, incomplete strategy% (3931)------------------------------
% 0.17/0.55 % (3931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.55 % (3931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.55 % (3931)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.55
% 0.17/0.55 % (3931)Memory used [KB]: 6780
% 0.17/0.55 % (3931)Time elapsed: 0.131 s
% 0.17/0.55 % (3931)Instructions burned: 23 (million)
% 0.17/0.55 % (3931)------------------------------
% 0.17/0.55 % (3931)------------------------------
% 0.17/0.55 % (3938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.55 % (3938)Termination reason: Unknown
% 0.17/0.55 % (3938)Termination phase: Blocked clause elimination
% 0.17/0.55
% 0.17/0.55 % (3938)Memory used [KB]: 1407
% 0.17/0.55 % (3938)Time elapsed: 0.004 s
% 0.17/0.55 % (3938)Instructions burned: 3 (million)
% 0.17/0.55 % (3938)------------------------------
% 0.17/0.55 % (3938)------------------------------
% 0.17/0.55 % (3950)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.17/0.57 % (3932)Instruction limit reached!
% 0.17/0.57 % (3932)------------------------------
% 0.17/0.57 % (3932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.57 % (3932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.57 % (3932)Termination reason: Unknown
% 0.17/0.57 % (3932)Termination phase: Saturation
% 0.17/0.57
% 0.17/0.57 % (3932)Memory used [KB]: 1791
% 0.17/0.57 % (3932)Time elapsed: 0.173 s
% 0.17/0.57 % (3932)Instructions burned: 38 (million)
% 0.17/0.57 % (3932)------------------------------
% 0.17/0.57 % (3932)------------------------------
% 0.17/0.57 Detected maximum model sizes of [5]
% 0.17/0.57 TRYING [1]
% 0.17/0.57 TRYING [2]
% 1.69/0.57 % (3933)Instruction limit reached!
% 1.69/0.57 % (3933)------------------------------
% 1.69/0.57 % (3933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.57 % (3933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.57 % (3933)Termination reason: Unknown
% 1.69/0.57 % (3933)Termination phase: Saturation
% 1.69/0.57
% 1.69/0.57 % (3933)Memory used [KB]: 7291
% 1.69/0.57 % (3933)Time elapsed: 0.165 s
% 1.69/0.57 % (3933)Instructions burned: 51 (million)
% 1.69/0.57 % (3933)------------------------------
% 1.69/0.57 % (3933)------------------------------
% 1.69/0.58 Detected maximum model sizes of [5]
% 1.69/0.58 TRYING [1]
% 1.69/0.58 TRYING [2]
% 1.92/0.59 TRYING [3]
% 1.92/0.60 % (3936)Instruction limit reached!
% 1.92/0.60 % (3936)------------------------------
% 1.92/0.60 % (3936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.60 % (3935)Instruction limit reached!
% 1.92/0.60 % (3935)------------------------------
% 1.92/0.60 % (3935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.60 % (3935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.60 % (3935)Termination reason: Unknown
% 1.92/0.60 % (3935)Termination phase: Saturation
% 1.92/0.60
% 1.92/0.60 % (3935)Memory used [KB]: 7291
% 1.92/0.60 % (3935)Time elapsed: 0.201 s
% 1.92/0.60 % (3935)Instructions burned: 49 (million)
% 1.92/0.60 % (3935)------------------------------
% 1.92/0.60 % (3935)------------------------------
% 1.92/0.61 Detected maximum model sizes of [5]
% 1.92/0.61 TRYING [1]
% 1.92/0.61 TRYING [2]
% 1.92/0.61 % (3934)Instruction limit reached!
% 1.92/0.61 % (3934)------------------------------
% 1.92/0.61 % (3934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.61 % (3934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.61 % (3934)Termination reason: Unknown
% 1.92/0.61 % (3934)Termination phase: Saturation
% 1.92/0.61
% 1.92/0.61 % (3934)Memory used [KB]: 7164
% 1.92/0.61 % (3934)Time elapsed: 0.181 s
% 1.92/0.61 % (3934)Instructions burned: 52 (million)
% 1.92/0.61 % (3934)------------------------------
% 1.92/0.61 % (3934)------------------------------
% 1.92/0.61 % (3940)Instruction limit reached!
% 1.92/0.61 % (3940)------------------------------
% 1.92/0.61 % (3940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.61 % (3940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.61 % (3940)Termination reason: Unknown
% 1.92/0.61 % (3940)Termination phase: Saturation
% 1.92/0.61
% 1.92/0.61 % (3940)Memory used [KB]: 7419
% 1.92/0.61 % (3940)Time elapsed: 0.218 s
% 1.92/0.61 % (3940)Instructions burned: 50 (million)
% 1.92/0.61 % (3940)------------------------------
% 1.92/0.61 % (3940)------------------------------
% 1.92/0.61 % (3936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.61 % (3936)Termination reason: Unknown
% 1.92/0.61 % (3936)Termination phase: Finite model building SAT solving
% 1.92/0.61
% 1.92/0.61 % (3936)Memory used [KB]: 7803
% 1.92/0.61 % (3936)Time elapsed: 0.174 s
% 1.92/0.61 % (3936)Instructions burned: 52 (million)
% 1.92/0.61 % (3936)------------------------------
% 1.92/0.61 % (3936)------------------------------
% 1.92/0.62 % (3953)First to succeed.
% 2.20/0.63 % (3953)Refutation found. Thanks to Tanya!
% 2.20/0.63 % SZS status Unsatisfiable for theBenchmark
% 2.20/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 2.20/0.63 % (3953)------------------------------
% 2.20/0.63 % (3953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.63 % (3953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.63 % (3953)Termination reason: Refutation
% 2.20/0.63
% 2.20/0.63 % (3953)Memory used [KB]: 7419
% 2.20/0.63 % (3953)Time elapsed: 0.212 s
% 2.20/0.63 % (3953)Instructions burned: 60 (million)
% 2.20/0.63 % (3953)------------------------------
% 2.20/0.63 % (3953)------------------------------
% 2.20/0.63 % (3929)Success in time 0.294 s
%------------------------------------------------------------------------------