TSTP Solution File: SYN036-4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN036-4 : TPTP v8.1.0. Released v1.0.0.
% 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 : n017.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 19:36:37 EDT 2022
% Result : Unsatisfiable 1.27s 0.53s
% Output : Refutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 70
% Syntax : Number of formulae : 187 ( 1 unt; 0 def)
% Number of atoms : 565 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 652 ( 274 ~; 326 |; 0 &)
% ( 52 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 55 ( 54 usr; 53 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 127 ( 127 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f490,plain,
$false,
inference(avatar_sat_refutation,[],[f146,f162,f191,f204,f214,f249,f288,f299,f312,f314,f319,f327,f333,f341,f348,f363,f382,f387,f397,f407,f408,f413,f414,f420,f422,f423,f428,f437,f439,f442,f443,f444,f445,f446,f449,f450,f451,f460,f462,f465,f468,f471,f474,f477,f480,f486,f489]) ).
fof(f489,plain,
( ~ spl49_8
| ~ spl49_22 ),
inference(avatar_contradiction_clause,[],[f488]) ).
fof(f488,plain,
( $false
| ~ spl49_8
| ~ spl49_22 ),
inference(subsumption_resolution,[],[f487,f221]) ).
fof(f221,plain,
( ! [X8] : q(X8)
| ~ spl49_22 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f220,plain,
( spl49_22
<=> ! [X8] : q(X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_22])]) ).
fof(f487,plain,
( ! [X5] : ~ q(fz5(X5))
| ~ spl49_8
| ~ spl49_22 ),
inference(subsumption_resolution,[],[f161,f221]) ).
fof(f161,plain,
( ! [X5] :
( ~ q(fz5(X5))
| ~ q(X5) )
| ~ spl49_8 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f160,plain,
( spl49_8
<=> ! [X5] :
( ~ q(fz5(X5))
| ~ q(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_8])]) ).
fof(f486,plain,
( ~ spl49_14
| ~ spl49_47 ),
inference(avatar_contradiction_clause,[],[f485]) ).
fof(f485,plain,
( $false
| ~ spl49_14
| ~ spl49_47 ),
inference(subsumption_resolution,[],[f484,f185]) ).
fof(f185,plain,
( ! [X11] : p(X11)
| ~ spl49_14 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f184,plain,
( spl49_14
<=> ! [X11] : p(X11) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_14])]) ).
fof(f484,plain,
( ! [X4] : ~ p(X4)
| ~ spl49_14
| ~ spl49_47 ),
inference(subsumption_resolution,[],[f340,f185]) ).
fof(f340,plain,
( ! [X4] :
( ~ p(fy5(X4))
| ~ p(X4) )
| ~ spl49_47 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f339,plain,
( spl49_47
<=> ! [X4] :
( ~ p(fy5(X4))
| ~ p(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_47])]) ).
fof(f480,plain,
( ~ spl49_10
| ~ spl49_14 ),
inference(avatar_contradiction_clause,[],[f479]) ).
fof(f479,plain,
( $false
| ~ spl49_10
| ~ spl49_14 ),
inference(subsumption_resolution,[],[f478,f185]) ).
fof(f478,plain,
( ! [X10] : ~ p(fy(X10))
| ~ spl49_10
| ~ spl49_14 ),
inference(subsumption_resolution,[],[f169,f185]) ).
fof(f169,plain,
( ! [X10] :
( ~ p(X10)
| ~ p(fy(X10)) )
| ~ spl49_10 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f168,plain,
( spl49_10
<=> ! [X10] :
( ~ p(X10)
| ~ p(fy(X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_10])]) ).
fof(f477,plain,
( ~ spl49_26
| ~ spl49_64 ),
inference(avatar_contradiction_clause,[],[f476]) ).
fof(f476,plain,
( $false
| ~ spl49_26
| ~ spl49_64 ),
inference(subsumption_resolution,[],[f475,f239]) ).
fof(f239,plain,
( ! [X21] : ~ q(X21)
| ~ spl49_26 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f238,plain,
( spl49_26
<=> ! [X21] : ~ q(X21) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_26])]) ).
fof(f475,plain,
( ! [X5] : q(fz5(X5))
| ~ spl49_26
| ~ spl49_64 ),
inference(subsumption_resolution,[],[f436,f239]) ).
fof(f436,plain,
( ! [X5] :
( q(X5)
| q(fz5(X5)) )
| ~ spl49_64 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f435,plain,
( spl49_64
<=> ! [X5] :
( q(X5)
| q(fz5(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_64])]) ).
fof(f474,plain,
( ~ spl49_2
| ~ spl49_40 ),
inference(avatar_contradiction_clause,[],[f473]) ).
fof(f473,plain,
( $false
| ~ spl49_2
| ~ spl49_40 ),
inference(subsumption_resolution,[],[f472,f137]) ).
fof(f137,plain,
( ! [X3] : ~ p(X3)
| ~ spl49_2 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl49_2
<=> ! [X3] : ~ p(X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_2])]) ).
fof(f472,plain,
( ! [X4] : p(fy5(X4))
| ~ spl49_2
| ~ spl49_40 ),
inference(subsumption_resolution,[],[f302,f137]) ).
fof(f302,plain,
( ! [X4] :
( p(X4)
| p(fy5(X4)) )
| ~ spl49_40 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f301,plain,
( spl49_40
<=> ! [X4] :
( p(X4)
| p(fy5(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_40])]) ).
fof(f471,plain,
( ~ spl49_12
| ~ spl49_26 ),
inference(avatar_contradiction_clause,[],[f470]) ).
fof(f470,plain,
( $false
| ~ spl49_12
| ~ spl49_26 ),
inference(subsumption_resolution,[],[f469,f239]) ).
fof(f469,plain,
( ! [X8] : q(fz(X8))
| ~ spl49_12
| ~ spl49_26 ),
inference(subsumption_resolution,[],[f177,f239]) ).
fof(f177,plain,
( ! [X8] :
( q(fz(X8))
| q(X8) )
| ~ spl49_12 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f176,plain,
( spl49_12
<=> ! [X8] :
( q(X8)
| q(fz(X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_12])]) ).
fof(f468,plain,
( ~ spl49_18
| ~ spl49_22 ),
inference(avatar_contradiction_clause,[],[f467]) ).
fof(f467,plain,
( $false
| ~ spl49_18
| ~ spl49_22 ),
inference(subsumption_resolution,[],[f466,f221]) ).
fof(f466,plain,
( ! [X9] : ~ q(fz(X9))
| ~ spl49_18
| ~ spl49_22 ),
inference(subsumption_resolution,[],[f203,f221]) ).
fof(f203,plain,
( ! [X9] :
( ~ q(fz(X9))
| ~ q(X9) )
| ~ spl49_18 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f202,plain,
( spl49_18
<=> ! [X9] :
( ~ q(fz(X9))
| ~ q(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_18])]) ).
fof(f465,plain,
( ~ spl49_2
| ~ spl49_4 ),
inference(avatar_contradiction_clause,[],[f464]) ).
fof(f464,plain,
( $false
| ~ spl49_2
| ~ spl49_4 ),
inference(subsumption_resolution,[],[f463,f137]) ).
fof(f463,plain,
( ! [X18] : p(X18)
| ~ spl49_2
| ~ spl49_4 ),
inference(subsumption_resolution,[],[f145,f137]) ).
fof(f145,plain,
( ! [X18] :
( p(fy(X18))
| p(X18) )
| ~ spl49_4 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f144,plain,
( spl49_4
<=> ! [X18] :
( p(X18)
| p(fy(X18)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_4])]) ).
fof(f462,plain,
( ~ spl49_22
| ~ spl49_26 ),
inference(avatar_contradiction_clause,[],[f461]) ).
fof(f461,plain,
( $false
| ~ spl49_22
| ~ spl49_26 ),
inference(subsumption_resolution,[],[f239,f221]) ).
fof(f460,plain,
( spl49_7
| ~ spl49_22 ),
inference(avatar_contradiction_clause,[],[f459]) ).
fof(f459,plain,
( $false
| spl49_7
| ~ spl49_22 ),
inference(subsumption_resolution,[],[f158,f221]) ).
fof(f158,plain,
( ~ q(cw)
| spl49_7 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f156,plain,
( spl49_7
<=> q(cw) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_7])]) ).
fof(f451,plain,
( spl49_2
| spl49_6 ),
inference(avatar_split_clause,[],[f69,f152,f136]) ).
fof(f152,plain,
( spl49_6
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_6])]) ).
fof(f69,plain,
! [X3] :
( sP18
| ~ p(X3) ),
inference(cnf_transformation,[],[f69_D]) ).
fof(f69_D,plain,
( ! [X3] : ~ p(X3)
<=> ~ sP18 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP18])]) ).
fof(f450,plain,
( spl49_59
| spl49_4 ),
inference(avatar_split_clause,[],[f51,f144,f404]) ).
fof(f404,plain,
( spl49_59
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_59])]) ).
fof(f51,plain,
! [X18] :
( p(X18)
| p(fy(X18))
| sP9 ),
inference(cnf_transformation,[],[f51_D]) ).
fof(f51_D,plain,
( ! [X18] :
( p(X18)
| p(fy(X18)) )
<=> ~ sP9 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP9])]) ).
fof(f449,plain,
( spl49_7
| ~ spl49_57
| spl49_14
| ~ spl49_5 ),
inference(avatar_split_clause,[],[f122,f148,f184,f394,f156]) ).
fof(f394,plain,
( spl49_57
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_57])]) ).
fof(f148,plain,
( spl49_5
<=> p(cx) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_5])]) ).
fof(f122,plain,
! [X0] :
( ~ p(cx)
| p(X0)
| ~ sP44
| q(cw) ),
inference(general_splitting,[],[f2,f121_D]) ).
fof(f121,plain,
! [X2] :
( ~ q(X2)
| sP44 ),
inference(cnf_transformation,[],[f121_D]) ).
fof(f121_D,plain,
( ! [X2] : ~ q(X2)
<=> ~ sP44 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP44])]) ).
fof(f2,axiom,
! [X2,X0] :
( ~ p(cx)
| q(cw)
| ~ q(X2)
| p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f446,plain,
( ~ spl49_7
| spl49_5
| spl49_22
| ~ spl49_15 ),
inference(avatar_split_clause,[],[f110,f188,f220,f148,f156]) ).
fof(f188,plain,
( spl49_15
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_15])]) ).
fof(f110,plain,
! [X1] :
( ~ sP38
| q(X1)
| p(cx)
| ~ q(cw) ),
inference(general_splitting,[],[f3,f109_D]) ).
fof(f109,plain,
! [X3] :
( ~ p(X3)
| sP38 ),
inference(cnf_transformation,[],[f109_D]) ).
fof(f109_D,plain,
( ! [X3] : ~ p(X3)
<=> ~ sP38 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP38])]) ).
fof(f3,axiom,
! [X3,X1] :
( ~ p(X3)
| p(cx)
| ~ q(cw)
| q(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f445,plain,
( spl49_47
| spl49_7
| ~ spl49_51
| ~ spl49_5 ),
inference(avatar_split_clause,[],[f50,f148,f360,f156,f339]) ).
fof(f360,plain,
( spl49_51
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_51])]) ).
fof(f50,plain,
! [X4] :
( ~ p(cx)
| ~ sP8
| q(cw)
| ~ p(fy5(X4))
| ~ p(X4) ),
inference(general_splitting,[],[f6,f49_D]) ).
fof(f49,plain,
! [X2] :
( sP8
| ~ q(X2) ),
inference(cnf_transformation,[],[f49_D]) ).
fof(f49_D,plain,
( ! [X2] : ~ q(X2)
<=> ~ sP8 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP8])]) ).
fof(f6,axiom,
! [X2,X4] :
( ~ p(X4)
| ~ p(cx)
| q(cw)
| ~ p(fy5(X4))
| ~ q(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f444,plain,
( spl49_12
| spl49_62 ),
inference(avatar_split_clause,[],[f125,f425,f176]) ).
fof(f425,plain,
( spl49_62
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_62])]) ).
fof(f125,plain,
! [X9] :
( sP46
| q(X9)
| q(fz(X9)) ),
inference(cnf_transformation,[],[f125_D]) ).
fof(f125_D,plain,
( ! [X9] :
( q(X9)
| q(fz(X9)) )
<=> ~ sP46 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP46])]) ).
fof(f443,plain,
( spl49_14
| spl49_61 ),
inference(avatar_split_clause,[],[f103,f417,f184]) ).
fof(f417,plain,
( spl49_61
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_61])]) ).
fof(f103,plain,
! [X0] :
( sP35
| p(X0) ),
inference(cnf_transformation,[],[f103_D]) ).
fof(f103_D,plain,
( ! [X0] : p(X0)
<=> ~ sP35 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP35])]) ).
fof(f442,plain,
( ~ spl49_28
| spl49_5
| spl49_64
| ~ spl49_45 ),
inference(avatar_split_clause,[],[f102,f330,f435,f148,f246]) ).
fof(f246,plain,
( spl49_28
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_28])]) ).
fof(f330,plain,
( spl49_45
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_45])]) ).
fof(f102,plain,
! [X5] :
( ~ sP34
| q(X5)
| p(cx)
| q(fz5(X5))
| ~ sP33 ),
inference(general_splitting,[],[f100,f101_D]) ).
fof(f101,plain,
! [X16] :
( sP34
| ~ q(X16) ),
inference(cnf_transformation,[],[f101_D]) ).
fof(f101_D,plain,
( ! [X16] : ~ q(X16)
<=> ~ sP34 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP34])]) ).
fof(f100,plain,
! [X16,X5] :
( q(fz5(X5))
| p(cx)
| ~ q(X16)
| q(X5)
| ~ sP33 ),
inference(general_splitting,[],[f17,f99_D]) ).
fof(f99,plain,
! [X3] :
( sP33
| ~ p(X3) ),
inference(cnf_transformation,[],[f99_D]) ).
fof(f99_D,plain,
( ! [X3] : ~ p(X3)
<=> ~ sP33 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP33])]) ).
fof(f17,axiom,
! [X3,X16,X5] :
( q(fz5(X5))
| p(cx)
| ~ q(X16)
| q(X5)
| ~ p(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17) ).
fof(f439,plain,
( spl49_22
| ~ spl49_37
| ~ spl49_7
| ~ spl49_5 ),
inference(avatar_split_clause,[],[f36,f148,f156,f285,f220]) ).
fof(f285,plain,
( spl49_37
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_37])]) ).
fof(f36,plain,
! [X1] :
( ~ p(cx)
| ~ q(cw)
| ~ sP1
| q(X1) ),
inference(general_splitting,[],[f1,f35_D]) ).
fof(f35,plain,
! [X0] :
( p(X0)
| sP1 ),
inference(cnf_transformation,[],[f35_D]) ).
fof(f35_D,plain,
( ! [X0] : p(X0)
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1,axiom,
! [X0,X1] :
( q(X1)
| ~ q(cw)
| p(X0)
| ~ p(cx) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f437,plain,
( ~ spl49_55
| spl49_64
| spl49_7
| spl49_5 ),
inference(avatar_split_clause,[],[f64,f148,f156,f435,f384]) ).
fof(f384,plain,
( spl49_55
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_55])]) ).
fof(f64,plain,
! [X5] :
( p(cx)
| q(cw)
| q(X5)
| ~ sP15
| q(fz5(X5)) ),
inference(general_splitting,[],[f32,f63_D]) ).
fof(f63,plain,
! [X4] :
( sP15
| p(X4)
| p(fy5(X4)) ),
inference(cnf_transformation,[],[f63_D]) ).
fof(f63_D,plain,
( ! [X4] :
( p(X4)
| p(fy5(X4)) )
<=> ~ sP15 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP15])]) ).
fof(f32,axiom,
! [X4,X5] :
( p(cx)
| q(cw)
| q(X5)
| q(fz5(X5))
| p(X4)
| p(fy5(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_32) ).
fof(f428,plain,
( ~ spl49_5
| spl49_14
| spl49_7
| ~ spl49_62 ),
inference(avatar_split_clause,[],[f126,f425,f156,f184,f148]) ).
fof(f126,plain,
! [X7] :
( ~ sP46
| q(cw)
| p(X7)
| ~ p(cx) ),
inference(general_splitting,[],[f10,f125_D]) ).
fof(f10,axiom,
! [X9,X7] :
( q(X9)
| ~ p(cx)
| q(cw)
| p(X7)
| q(fz(X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
fof(f423,plain,
( spl49_20
| spl49_47 ),
inference(avatar_split_clause,[],[f65,f339,f211]) ).
fof(f211,plain,
( spl49_20
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_20])]) ).
fof(f65,plain,
! [X4] :
( ~ p(fy5(X4))
| sP16
| ~ p(X4) ),
inference(cnf_transformation,[],[f65_D]) ).
fof(f65_D,plain,
( ! [X4] :
( ~ p(fy5(X4))
| ~ p(X4) )
<=> ~ sP16 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP16])]) ).
fof(f422,plain,
( spl49_10
| spl49_17 ),
inference(avatar_split_clause,[],[f79,f198,f168]) ).
fof(f198,plain,
( spl49_17
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_17])]) ).
fof(f79,plain,
! [X18] :
( sP23
| ~ p(X18)
| ~ p(fy(X18)) ),
inference(cnf_transformation,[],[f79_D]) ).
fof(f79_D,plain,
( ! [X18] :
( ~ p(X18)
| ~ p(fy(X18)) )
<=> ~ sP23 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP23])]) ).
fof(f420,plain,
( ~ spl49_5
| ~ spl49_7
| ~ spl49_61
| spl49_8 ),
inference(avatar_split_clause,[],[f104,f160,f417,f156,f148]) ).
fof(f104,plain,
! [X5] :
( ~ q(fz5(X5))
| ~ sP35
| ~ q(X5)
| ~ q(cw)
| ~ p(cx) ),
inference(general_splitting,[],[f7,f103_D]) ).
fof(f7,axiom,
! [X0,X5] :
( p(X0)
| ~ q(fz5(X5))
| ~ q(cw)
| ~ q(X5)
| ~ p(cx) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f414,plain,
( spl49_60
| spl49_4 ),
inference(avatar_split_clause,[],[f55,f144,f410]) ).
fof(f410,plain,
( spl49_60
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_60])]) ).
fof(f55,plain,
! [X18] :
( p(X18)
| p(fy(X18))
| sP11 ),
inference(cnf_transformation,[],[f55_D]) ).
fof(f55_D,plain,
( ! [X18] :
( p(X18)
| p(fy(X18)) )
<=> ~ sP11 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP11])]) ).
fof(f413,plain,
( ~ spl49_7
| spl49_5
| ~ spl49_60
| spl49_22 ),
inference(avatar_split_clause,[],[f56,f220,f410,f148,f156]) ).
fof(f56,plain,
! [X12] :
( q(X12)
| ~ sP11
| p(cx)
| ~ q(cw) ),
inference(general_splitting,[],[f19,f55_D]) ).
fof(f19,axiom,
! [X18,X12] :
( p(cx)
| ~ q(cw)
| p(fy(X18))
| p(X18)
| q(X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_19) ).
fof(f408,plain,
( spl49_7
| spl49_12
| ~ spl49_43
| ~ spl49_5 ),
inference(avatar_split_clause,[],[f124,f148,f316,f176,f156]) ).
fof(f316,plain,
( spl49_43
<=> sP45 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_43])]) ).
fof(f124,plain,
! [X9] :
( ~ p(cx)
| ~ sP45
| q(X9)
| q(fz(X9))
| q(cw) ),
inference(general_splitting,[],[f22,f123_D]) ).
fof(f123,plain,
! [X18] :
( sP45
| ~ p(fy(X18))
| ~ p(X18) ),
inference(cnf_transformation,[],[f123_D]) ).
fof(f123_D,plain,
( ! [X18] :
( ~ p(fy(X18))
| ~ p(X18) )
<=> ~ sP45 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP45])]) ).
fof(f22,axiom,
! [X18,X9] :
( ~ p(cx)
| ~ p(X18)
| ~ p(fy(X18))
| q(X9)
| q(fz(X9))
| q(cw) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_22) ).
fof(f407,plain,
( ~ spl49_59
| spl49_5
| spl49_26
| spl49_7 ),
inference(avatar_split_clause,[],[f52,f156,f238,f148,f404]) ).
fof(f52,plain,
! [X19] :
( q(cw)
| ~ q(X19)
| p(cx)
| ~ sP9 ),
inference(general_splitting,[],[f20,f51_D]) ).
fof(f20,axiom,
! [X18,X19] :
( p(fy(X18))
| q(cw)
| p(cx)
| p(X18)
| ~ q(X19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_20) ).
fof(f397,plain,
( spl49_57
| spl49_26 ),
inference(avatar_split_clause,[],[f121,f238,f394]) ).
fof(f387,plain,
( spl49_40
| spl49_55 ),
inference(avatar_split_clause,[],[f63,f384,f301]) ).
fof(f382,plain,
( spl49_5
| ~ spl49_7
| ~ spl49_3
| spl49_18 ),
inference(avatar_split_clause,[],[f72,f202,f140,f156,f148]) ).
fof(f140,plain,
( spl49_3
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_3])]) ).
fof(f72,plain,
! [X9] :
( ~ q(X9)
| ~ sP19
| ~ q(fz(X9))
| ~ q(cw)
| p(cx) ),
inference(general_splitting,[],[f30,f71_D]) ).
fof(f71,plain,
! [X18] :
( p(X18)
| p(fy(X18))
| sP19 ),
inference(cnf_transformation,[],[f71_D]) ).
fof(f71_D,plain,
( ! [X18] :
( p(X18)
| p(fy(X18)) )
<=> ~ sP19 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP19])]) ).
fof(f30,axiom,
! [X18,X9] :
( ~ q(X9)
| p(fy(X18))
| ~ q(cw)
| p(cx)
| p(X18)
| ~ q(fz(X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_30) ).
fof(f363,plain,
( spl49_26
| spl49_51 ),
inference(avatar_split_clause,[],[f49,f360,f238]) ).
fof(f348,plain,
( spl49_46
| spl49_22 ),
inference(avatar_split_clause,[],[f53,f220,f335]) ).
fof(f335,plain,
( spl49_46
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_46])]) ).
fof(f53,plain,
! [X1] :
( q(X1)
| sP10 ),
inference(cnf_transformation,[],[f53_D]) ).
fof(f53_D,plain,
( ! [X1] : q(X1)
<=> ~ sP10 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP10])]) ).
fof(f341,plain,
( ~ spl49_7
| ~ spl49_5
| ~ spl49_46
| spl49_47 ),
inference(avatar_split_clause,[],[f54,f339,f335,f148,f156]) ).
fof(f54,plain,
! [X4] :
( ~ p(fy5(X4))
| ~ sP10
| ~ p(X4)
| ~ p(cx)
| ~ q(cw) ),
inference(general_splitting,[],[f5,f53_D]) ).
fof(f5,axiom,
! [X1,X4] :
( ~ p(cx)
| ~ p(fy5(X4))
| ~ q(cw)
| q(X1)
| ~ p(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f333,plain,
( spl49_26
| spl49_45 ),
inference(avatar_split_clause,[],[f101,f330,f238]) ).
fof(f327,plain,
( spl49_7
| ~ spl49_39
| spl49_5
| spl49_2 ),
inference(avatar_split_clause,[],[f44,f136,f148,f296,f156]) ).
fof(f296,plain,
( spl49_39
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_39])]) ).
fof(f44,plain,
! [X3] :
( ~ p(X3)
| p(cx)
| ~ sP5
| q(cw) ),
inference(general_splitting,[],[f4,f43_D]) ).
fof(f43,plain,
! [X2] :
( ~ q(X2)
| sP5 ),
inference(cnf_transformation,[],[f43_D]) ).
fof(f43_D,plain,
( ! [X2] : ~ q(X2)
<=> ~ sP5 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).
fof(f4,axiom,
! [X2,X3] :
( ~ p(X3)
| ~ q(X2)
| p(cx)
| q(cw) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f319,plain,
( spl49_10
| spl49_43 ),
inference(avatar_split_clause,[],[f123,f316,f168]) ).
fof(f314,plain,
( spl49_42
| spl49_12 ),
inference(avatar_split_clause,[],[f67,f176,f309]) ).
fof(f309,plain,
( spl49_42
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_42])]) ).
fof(f67,plain,
! [X9] :
( q(fz(X9))
| sP17
| q(X9) ),
inference(cnf_transformation,[],[f67_D]) ).
fof(f67_D,plain,
( ! [X9] :
( q(fz(X9))
| q(X9) )
<=> ~ sP17 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP17])]) ).
fof(f312,plain,
( spl49_2
| spl49_7
| spl49_5
| ~ spl49_42 ),
inference(avatar_split_clause,[],[f68,f309,f148,f156,f136]) ).
fof(f68,plain,
! [X15] :
( ~ sP17
| p(cx)
| q(cw)
| ~ p(X15) ),
inference(general_splitting,[],[f15,f67_D]) ).
fof(f15,axiom,
! [X9,X15] :
( q(X9)
| q(cw)
| p(cx)
| ~ p(X15)
| q(fz(X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
fof(f299,plain,
( spl49_39
| spl49_26 ),
inference(avatar_split_clause,[],[f43,f238,f296]) ).
fof(f288,plain,
( spl49_37
| spl49_14 ),
inference(avatar_split_clause,[],[f35,f184,f285]) ).
fof(f249,plain,
( spl49_2
| spl49_28 ),
inference(avatar_split_clause,[],[f99,f246,f136]) ).
fof(f214,plain,
( ~ spl49_5
| ~ spl49_7
| spl49_8
| ~ spl49_20 ),
inference(avatar_split_clause,[],[f66,f211,f160,f156,f148]) ).
fof(f66,plain,
! [X5] :
( ~ sP16
| ~ q(X5)
| ~ q(cw)
| ~ q(fz5(X5))
| ~ p(cx) ),
inference(general_splitting,[],[f23,f65_D]) ).
fof(f23,axiom,
! [X4,X5] :
( ~ p(X4)
| ~ q(X5)
| ~ p(fy5(X4))
| ~ q(cw)
| ~ q(fz5(X5))
| ~ p(cx) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_23) ).
fof(f204,plain,
( ~ spl49_17
| spl49_18
| spl49_5
| ~ spl49_7 ),
inference(avatar_split_clause,[],[f80,f156,f148,f202,f198]) ).
fof(f80,plain,
! [X9] :
( ~ q(cw)
| p(cx)
| ~ q(fz(X9))
| ~ sP23
| ~ q(X9) ),
inference(general_splitting,[],[f24,f79_D]) ).
fof(f24,axiom,
! [X18,X9] :
( ~ q(cw)
| p(cx)
| ~ q(X9)
| ~ p(fy(X18))
| ~ q(fz(X9))
| ~ p(X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_24) ).
fof(f191,plain,
( spl49_15
| spl49_2 ),
inference(avatar_split_clause,[],[f109,f136,f188]) ).
fof(f162,plain,
( spl49_5
| ~ spl49_6
| ~ spl49_7
| spl49_8 ),
inference(avatar_split_clause,[],[f70,f160,f156,f152,f148]) ).
fof(f70,plain,
! [X5] :
( ~ q(fz5(X5))
| ~ q(cw)
| ~ q(X5)
| ~ sP18
| p(cx) ),
inference(general_splitting,[],[f16,f69_D]) ).
fof(f16,axiom,
! [X3,X5] :
( ~ p(X3)
| p(cx)
| ~ q(X5)
| ~ q(cw)
| ~ q(fz5(X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16) ).
fof(f146,plain,
( spl49_3
| spl49_4 ),
inference(avatar_split_clause,[],[f71,f144,f140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN036-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 20:46:36 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.49 % (14565)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)
% 1.27/0.52 % (14565)First to succeed.
% 1.27/0.52 % (14573)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.27/0.53 % (14565)Refutation found. Thanks to Tanya!
% 1.27/0.53 % SZS status Unsatisfiable for theBenchmark
% 1.27/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.27/0.53 % (14565)------------------------------
% 1.27/0.53 % (14565)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.53 % (14565)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.53 % (14565)Termination reason: Refutation
% 1.27/0.53
% 1.27/0.53 % (14565)Memory used [KB]: 5756
% 1.27/0.53 % (14565)Time elapsed: 0.114 s
% 1.27/0.53 % (14565)Instructions burned: 5 (million)
% 1.27/0.53 % (14565)------------------------------
% 1.27/0.53 % (14565)------------------------------
% 1.27/0.53 % (14559)Success in time 0.17 s
%------------------------------------------------------------------------------