TSTP Solution File: SYN036-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN036-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n022.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 : Tue Apr 30 18:01:51 EDT 2024
% Result : Unsatisfiable 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 47
% Syntax : Number of formulae : 143 ( 1 unt; 0 def)
% Number of atoms : 558 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 654 ( 239 ~; 389 |; 0 &)
% ( 26 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 29 ( 28 usr; 27 prp; 0-1 aty)
% Number of functors : 18 ( 18 usr; 14 con; 0-1 aty)
% Number of variables : 134 ( 134 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f455,plain,
$false,
inference(avatar_sat_refutation,[],[f243,f247,f249,f261,f284,f287,f289,f306,f312,f322,f323,f334,f336,f338,f342,f343,f349,f351,f352,f365,f372,f374,f378,f380,f383,f384,f386,f389,f391,f393,f396,f408,f412,f416,f425,f426,f428,f430,f435,f449,f452,f454]) ).
fof(f454,plain,
( ~ spl0_5
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f453]) ).
fof(f453,plain,
( $false
| ~ spl0_5
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f269,f144]) ).
fof(f144,plain,
( ! [X20] : ~ big_p(X20)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f143,plain,
( spl0_5
<=> ! [X20] : ~ big_p(X20) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f269,plain,
( big_p(c9)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f267,plain,
( spl0_31
<=> big_p(c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f452,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f451]) ).
fof(f451,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f450,f137]) ).
fof(f137,plain,
( ! [X23] : ~ big_q(X23)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl0_3
<=> ! [X23] : ~ big_q(X23) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f450,plain,
( ! [X18] : big_q(f4(X18))
| ~ spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f134,f137]) ).
fof(f134,plain,
( ! [X18] :
( big_q(X18)
| big_q(f4(X18)) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl0_2
<=> ! [X18] :
( big_q(X18)
| big_q(f4(X18)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f449,plain,
( ~ spl0_5
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f448]) ).
fof(f448,plain,
( $false
| ~ spl0_5
| ~ spl0_32 ),
inference(subsumption_resolution,[],[f280,f144]) ).
fof(f280,plain,
( big_p(c19)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f278,plain,
( spl0_32
<=> big_p(c19) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f435,plain,
( ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f434]) ).
fof(f434,plain,
( $false
| ~ spl0_7
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f432,f160]) ).
fof(f160,plain,
( ! [X9] : big_p(X9)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl0_9
<=> ! [X9] : big_p(X9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f432,plain,
( ! [X0] : ~ big_p(X0)
| ~ spl0_7
| ~ spl0_9 ),
inference(resolution,[],[f160,f152]) ).
fof(f152,plain,
( ! [X21] :
( ~ big_p(f3(X21))
| ~ big_p(X21) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl0_7
<=> ! [X21] :
( ~ big_p(X21)
| ~ big_p(f3(X21)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f430,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f429]) ).
fof(f429,plain,
( $false
| ~ spl0_1
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f422,f144]) ).
fof(f422,plain,
( ! [X0] : big_p(X0)
| ~ spl0_1
| ~ spl0_5 ),
inference(resolution,[],[f144,f131]) ).
fof(f131,plain,
( ! [X21] :
( big_p(f3(X21))
| big_p(X21) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl0_1
<=> ! [X21] :
( big_p(X21)
| big_p(f3(X21)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f428,plain,
( ~ spl0_5
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f427]) ).
fof(f427,plain,
( $false
| ~ spl0_5
| ~ spl0_27 ),
inference(subsumption_resolution,[],[f417,f144]) ).
fof(f417,plain,
( ! [X0] : big_p(X0)
| ~ spl0_5
| ~ spl0_27 ),
inference(resolution,[],[f144,f233]) ).
fof(f233,plain,
( ! [X0] :
( big_p(f1(X0))
| big_p(X0) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f232,plain,
( spl0_27
<=> ! [X0] :
( big_p(X0)
| big_p(f1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f426,plain,
( ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f418]) ).
fof(f418,plain,
( $false
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f144,f157]) ).
fof(f157,plain,
( big_p(c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl0_8
<=> big_p(c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f425,plain,
( ~ spl0_5
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f419]) ).
fof(f419,plain,
( $false
| ~ spl0_5
| ~ spl0_21 ),
inference(resolution,[],[f144,f206]) ).
fof(f206,plain,
( big_p(c2)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f205,plain,
( spl0_21
<=> big_p(c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f416,plain,
( ~ spl0_14
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f415]) ).
fof(f415,plain,
( $false
| ~ spl0_14
| ~ spl0_30 ),
inference(subsumption_resolution,[],[f414,f179]) ).
fof(f179,plain,
( ! [X15] : big_q(X15)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl0_14
<=> ! [X15] : big_q(X15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f414,plain,
( ! [X18] : ~ big_q(f4(X18))
| ~ spl0_14
| ~ spl0_30 ),
inference(subsumption_resolution,[],[f257,f179]) ).
fof(f257,plain,
( ! [X18] :
( ~ big_q(X18)
| ~ big_q(f4(X18)) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f256,plain,
( spl0_30
<=> ! [X18] :
( ~ big_q(X18)
| ~ big_q(f4(X18)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f412,plain,
( ~ spl0_10
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f411]) ).
fof(f411,plain,
( $false
| ~ spl0_10
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f410,f179]) ).
fof(f410,plain,
( ! [X3] : ~ big_q(f2(X3))
| ~ spl0_10
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f163,f179]) ).
fof(f163,plain,
( ! [X3] :
( ~ big_q(X3)
| ~ big_q(f2(X3)) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f162,plain,
( spl0_10
<=> ! [X3] :
( ~ big_q(X3)
| ~ big_q(f2(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f408,plain,
( ~ spl0_14
| spl0_29 ),
inference(avatar_contradiction_clause,[],[f407]) ).
fof(f407,plain,
( $false
| ~ spl0_14
| spl0_29 ),
inference(subsumption_resolution,[],[f253,f179]) ).
fof(f253,plain,
( ~ big_q(c14)
| spl0_29 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f252,plain,
( spl0_29
<=> big_q(c14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f396,plain,
( ~ spl0_3
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f395]) ).
fof(f395,plain,
( $false
| ~ spl0_3
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f394,f137]) ).
fof(f394,plain,
( ! [X3] : big_q(f2(X3))
| ~ spl0_3
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f229,f137]) ).
fof(f229,plain,
( ! [X3] :
( big_q(X3)
| big_q(f2(X3)) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f228,plain,
( spl0_26
<=> ! [X3] :
( big_q(X3)
| big_q(f2(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f393,plain,
( ~ spl0_3
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f392]) ).
fof(f392,plain,
( $false
| ~ spl0_3
| ~ spl0_28 ),
inference(subsumption_resolution,[],[f238,f137]) ).
fof(f238,plain,
( big_q(c4)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f236,plain,
( spl0_28
<=> big_q(c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f391,plain,
( ~ spl0_3
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f390]) ).
fof(f390,plain,
( $false
| ~ spl0_3
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f254,f137]) ).
fof(f254,plain,
( big_q(c14)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f389,plain,
( ~ spl0_9
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f388]) ).
fof(f388,plain,
( $false
| ~ spl0_9
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f387,f160]) ).
fof(f387,plain,
( ! [X0] : ~ big_p(f1(X0))
| ~ spl0_9
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f199,f160]) ).
fof(f199,plain,
( ! [X0] :
( ~ big_p(f1(X0))
| ~ big_p(X0) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f198,plain,
( spl0_19
<=> ! [X0] :
( ~ big_p(X0)
| ~ big_p(f1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f386,plain,
( ~ spl0_3
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f385]) ).
fof(f385,plain,
( $false
| ~ spl0_3
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f196,f137]) ).
fof(f196,plain,
( big_q(c1)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f194,plain,
( spl0_18
<=> big_q(c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f384,plain,
( spl0_6
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f381]) ).
fof(f381,plain,
( $false
| spl0_6
| ~ spl0_14 ),
inference(resolution,[],[f179,f148]) ).
fof(f148,plain,
( ~ big_q(c20)
| spl0_6 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f146,plain,
( spl0_6
<=> big_q(c20) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f383,plain,
( spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f382]) ).
fof(f382,plain,
( $false
| spl0_13
| ~ spl0_14 ),
inference(resolution,[],[f179,f175]) ).
fof(f175,plain,
( ~ big_q(c7)
| spl0_13 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f173,plain,
( spl0_13
<=> big_q(c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f380,plain,
( ~ spl0_3
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f379]) ).
fof(f379,plain,
( $false
| ~ spl0_3
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f179,f137]) ).
fof(f378,plain,
( ~ spl0_9
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f377]) ).
fof(f377,plain,
( $false
| ~ spl0_9
| spl0_21 ),
inference(subsumption_resolution,[],[f207,f160]) ).
fof(f207,plain,
( ~ big_p(c2)
| spl0_21 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f374,plain,
( spl0_4
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f373]) ).
fof(f373,plain,
( $false
| spl0_4
| ~ spl0_9 ),
inference(resolution,[],[f160,f141]) ).
fof(f141,plain,
( ~ big_p(c15)
| spl0_4 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f139,plain,
( spl0_4
<=> big_p(c15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f372,plain,
( spl0_9
| spl0_1
| spl0_29
| spl0_2
| spl0_14
| spl0_32 ),
inference(avatar_split_clause,[],[f101,f278,f178,f133,f252,f130,f159]) ).
fof(f101,axiom,
! [X21,X18,X19,X22] :
( big_p(c19)
| big_q(X19)
| big_q(X18)
| big_q(c14)
| big_p(X21)
| big_p(X22)
| big_q(f4(X18))
| big_p(f3(X21)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_101) ).
fof(f365,plain,
( spl0_9
| spl0_9
| spl0_3
| spl0_30
| ~ spl0_24
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f72,f146,f143,f218,f256,f136,f159,f159]) ).
fof(f218,plain,
( spl0_24
<=> big_p(c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f72,axiom,
! [X18,X14,X12,X13,X20] :
( ~ big_q(c20)
| ~ big_p(X20)
| ~ big_p(c11)
| ~ big_q(X18)
| ~ big_q(X13)
| big_p(X12)
| big_p(X14)
| ~ big_q(f4(X18)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_72) ).
fof(f352,plain,
( spl0_32
| spl0_9
| spl0_1
| spl0_29
| spl0_14
| spl0_30 ),
inference(avatar_split_clause,[],[f103,f256,f178,f252,f130,f159,f278]) ).
fof(f103,axiom,
! [X21,X18,X19,X22] :
( ~ big_q(X18)
| big_q(X19)
| big_q(c14)
| big_p(X21)
| big_p(X22)
| big_p(c19)
| ~ big_q(f4(X18))
| big_p(f3(X21)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_103) ).
fof(f351,plain,
( spl0_20
| spl0_14
| spl0_31
| spl0_9
| spl0_27
| spl0_3
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f136,f136,f232,f159,f267,f178,f201]) ).
fof(f201,plain,
( spl0_20
<=> big_q(c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f5,axiom,
! [X2,X0,X1,X6,X7] :
( ~ big_q(X1)
| ~ big_q(X6)
| big_p(X0)
| big_p(X2)
| big_p(c9)
| big_q(X7)
| big_q(c8)
| big_p(f1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f349,plain,
( spl0_8
| spl0_9
| spl0_27
| ~ spl0_13
| spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f4,f136,f162,f173,f232,f159,f155]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ big_q(X1)
| ~ big_q(X3)
| ~ big_q(c7)
| big_p(X0)
| big_p(X2)
| big_p(c6)
| ~ big_q(f2(X3))
| big_p(f1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f343,plain,
( spl0_24
| spl0_9
| spl0_5
| ~ spl0_6
| spl0_30
| spl0_5
| spl0_3 ),
inference(avatar_split_clause,[],[f88,f136,f143,f256,f146,f143,f159,f218]) ).
fof(f88,axiom,
! [X18,X14,X12,X13,X20] :
( ~ big_q(X13)
| ~ big_p(X20)
| ~ big_q(X18)
| ~ big_q(c20)
| ~ big_p(X12)
| big_p(X14)
| big_p(c11)
| ~ big_q(f4(X18)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_88) ).
fof(f342,plain,
( spl0_14
| spl0_9
| spl0_9
| spl0_16
| spl0_3
| ~ spl0_24
| spl0_5
| spl0_3 ),
inference(avatar_split_clause,[],[f65,f136,f143,f218,f136,f185,f159,f159,f178]) ).
fof(f185,plain,
( spl0_16
<=> big_q(c16) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f65,axiom,
! [X16,X14,X17,X15,X12,X13] :
( ~ big_q(X13)
| ~ big_p(X16)
| ~ big_p(c11)
| ~ big_q(X15)
| big_q(c16)
| big_p(X14)
| big_p(X12)
| big_q(X17) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_65) ).
fof(f338,plain,
( spl0_7
| ~ spl0_6
| spl0_30
| ~ spl0_4
| spl0_5
| spl0_3 ),
inference(avatar_split_clause,[],[f128,f136,f143,f139,f256,f146,f151]) ).
fof(f128,axiom,
! [X21,X18,X23,X20] :
( ~ big_q(X23)
| ~ big_p(X20)
| ~ big_p(c15)
| ~ big_q(X18)
| ~ big_q(c20)
| ~ big_p(X21)
| ~ big_q(f4(X18))
| ~ big_p(f3(X21)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_128) ).
fof(f336,plain,
( spl0_27
| spl0_9
| spl0_14
| spl0_14
| spl0_31
| ~ spl0_20
| spl0_3 ),
inference(avatar_split_clause,[],[f7,f136,f201,f267,f178,f178,f159,f232]) ).
fof(f7,axiom,
! [X2,X0,X1,X6,X7] :
( ~ big_q(X1)
| ~ big_q(c8)
| big_p(c9)
| big_q(X7)
| big_q(X6)
| big_p(X2)
| big_p(X0)
| big_p(f1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f334,plain,
( spl0_9
| spl0_14
| spl0_14
| spl0_24
| spl0_5
| spl0_5
| ~ spl0_16
| spl0_3 ),
inference(avatar_split_clause,[],[f83,f136,f185,f143,f143,f218,f178,f178,f159]) ).
fof(f83,axiom,
! [X16,X14,X17,X15,X12,X13] :
( ~ big_q(X13)
| ~ big_q(c16)
| ~ big_p(X16)
| ~ big_p(X12)
| big_p(c11)
| big_q(X17)
| big_q(X15)
| big_p(X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_83) ).
fof(f323,plain,
( spl0_9
| spl0_9
| spl0_14
| spl0_14
| spl0_5
| ~ spl0_16
| spl0_3
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f67,f218,f136,f185,f143,f178,f178,f159,f159]) ).
fof(f67,axiom,
! [X16,X14,X17,X15,X12,X13] :
( ~ big_p(c11)
| ~ big_q(X13)
| ~ big_q(c16)
| ~ big_p(X16)
| big_q(X17)
| big_q(X15)
| big_p(X12)
| big_p(X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_67) ).
fof(f322,plain,
( spl0_32
| spl0_9
| spl0_9
| spl0_14
| spl0_30
| spl0_3
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f71,f218,f136,f256,f178,f159,f159,f278]) ).
fof(f71,axiom,
! [X18,X19,X14,X12,X13] :
( ~ big_p(c11)
| ~ big_q(X13)
| ~ big_q(X18)
| big_q(X19)
| big_p(X14)
| big_p(X12)
| big_p(c19)
| ~ big_q(f4(X18)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_71) ).
fof(f312,plain,
( spl0_14
| spl0_14
| spl0_5
| spl0_7
| ~ spl0_16
| spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f123,f139,f136,f185,f151,f143,f178,f178]) ).
fof(f123,axiom,
! [X21,X16,X17,X15,X23] :
( ~ big_p(c15)
| ~ big_q(X23)
| ~ big_q(c16)
| ~ big_p(X21)
| ~ big_p(X16)
| big_q(X17)
| big_q(X15)
| ~ big_p(f3(X21)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_123) ).
fof(f306,plain,
( spl0_14
| spl0_32
| spl0_7
| spl0_30
| spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f127,f139,f136,f256,f151,f278,f178]) ).
fof(f127,axiom,
! [X21,X18,X19,X23] :
( ~ big_p(c15)
| ~ big_q(X23)
| ~ big_q(X18)
| ~ big_p(X21)
| big_p(c19)
| big_q(X19)
| ~ big_q(f4(X18))
| ~ big_p(f3(X21)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_127) ).
fof(f289,plain,
( spl0_14
| spl0_24
| spl0_32
| spl0_9
| spl0_30
| spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f87,f143,f136,f256,f159,f278,f218,f178]) ).
fof(f87,axiom,
! [X18,X19,X14,X12,X13] :
( ~ big_p(X12)
| ~ big_q(X13)
| ~ big_q(X18)
| big_p(X14)
| big_p(c19)
| big_p(c11)
| big_q(X19)
| ~ big_q(f4(X18)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_87) ).
fof(f287,plain,
( spl0_9
| spl0_9
| spl0_28
| spl0_14
| spl0_26
| ~ spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f33,f143,f165,f228,f178,f236,f159,f159]) ).
fof(f165,plain,
( spl0_11
<=> big_p(c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f33,axiom,
! [X3,X10,X9,X4,X5] :
( ~ big_p(X4)
| ~ big_p(c3)
| big_q(X3)
| big_q(X5)
| big_q(c4)
| big_p(X9)
| big_p(X10)
| big_q(f2(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_33) ).
fof(f284,plain,
( spl0_27
| spl0_18
| spl0_26
| spl0_14
| ~ spl0_21
| spl0_5 ),
inference(avatar_split_clause,[],[f9,f143,f205,f178,f228,f194,f232]) ).
fof(f9,axiom,
! [X3,X0,X4,X5] :
( ~ big_p(X4)
| ~ big_p(c2)
| big_q(X5)
| big_q(X3)
| big_q(c1)
| big_p(X0)
| big_q(f2(X3))
| big_p(f1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
fof(f261,plain,
( spl0_14
| spl0_26
| spl0_11
| spl0_9
| spl0_28
| spl0_5
| spl0_5 ),
inference(avatar_split_clause,[],[f49,f143,f143,f236,f159,f165,f228,f178]) ).
fof(f49,axiom,
! [X3,X10,X9,X4,X5] :
( ~ big_p(X9)
| ~ big_p(X4)
| big_q(c4)
| big_p(X10)
| big_p(c3)
| big_q(X3)
| big_q(X5)
| big_q(f2(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_49) ).
fof(f249,plain,
( spl0_24
| spl0_9
| spl0_16
| spl0_14
| spl0_3
| spl0_3
| spl0_5
| spl0_5 ),
inference(avatar_split_clause,[],[f81,f143,f143,f136,f136,f178,f185,f159,f218]) ).
fof(f81,axiom,
! [X16,X14,X17,X15,X12,X13] :
( ~ big_p(X12)
| ~ big_p(X16)
| ~ big_q(X13)
| ~ big_q(X15)
| big_q(X17)
| big_q(c16)
| big_p(X14)
| big_p(c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_81) ).
fof(f247,plain,
( spl0_18
| spl0_26
| spl0_14
| ~ spl0_21
| spl0_19
| spl0_5 ),
inference(avatar_split_clause,[],[f25,f143,f198,f205,f178,f228,f194]) ).
fof(f25,axiom,
! [X3,X0,X4,X5] :
( ~ big_p(X4)
| ~ big_p(X0)
| ~ big_p(c2)
| big_q(X5)
| big_q(X3)
| big_q(c1)
| ~ big_p(f1(X0))
| big_q(f2(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_25) ).
fof(f243,plain,
( spl0_16
| spl0_14
| spl0_3
| spl0_3
| ~ spl0_4
| spl0_5
| spl0_7 ),
inference(avatar_split_clause,[],[f121,f151,f143,f139,f136,f136,f178,f185]) ).
fof(f121,axiom,
! [X21,X16,X17,X15,X23] :
( ~ big_p(X21)
| ~ big_p(X16)
| ~ big_p(c15)
| ~ big_q(X23)
| ~ big_q(X15)
| big_q(X17)
| big_q(c16)
| ~ big_p(f3(X21)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_121) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN036-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 01:42:43 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (8285)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (8286)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.39 % (8287)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.39 % (8289)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.39 % (8288)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.39 % (8290)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.39 % (8291)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.39 % (8292)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.39 % (8291)First to succeed.
% 0.14/0.40 % (8291)Refutation found. Thanks to Tanya!
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40 % (8291)------------------------------
% 0.14/0.40 % (8291)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.40 % (8291)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (8291)Memory used [KB]: 1080
% 0.14/0.40 % (8291)Time elapsed: 0.009 s
% 0.14/0.40 % (8291)Instructions burned: 14 (million)
% 0.14/0.40 % (8291)------------------------------
% 0.14/0.40 % (8291)------------------------------
% 0.14/0.40 % (8285)Success in time 0.03 s
%------------------------------------------------------------------------------