TSTP Solution File: HWV026-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HWV026-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May 5 06:34:22 EDT 2024
% Result : Unsatisfiable 0.20s 0.46s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 84
% Syntax : Number of formulae : 146 ( 46 unt; 0 def)
% Number of atoms : 350 ( 47 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 331 ( 127 ~; 160 |; 0 &)
% ( 44 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 57 ( 55 usr; 45 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 112 ( 112 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f373,plain,
$false,
inference(avatar_sat_refutation,[],[f102,f107,f116,f117,f121,f125,f129,f133,f137,f143,f147,f151,f155,f160,f164,f168,f172,f176,f182,f189,f194,f198,f202,f206,f210,f215,f219,f223,f242,f246,f250,f254,f258,f262,f266,f293,f312,f316,f332,f336,f337,f342,f346,f350,f372]) ).
fof(f372,plain,
( ~ spl0_4
| spl0_2
| spl0_1
| spl0_3
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f338,f260,f109,f99,f104,f113]) ).
fof(f113,plain,
( spl0_4
<=> p_Wr_error(t_139) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f104,plain,
( spl0_2
<=> p_Reset(t_139) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f99,plain,
( spl0_1
<=> p_Wr(t_139) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f109,plain,
( spl0_3
<=> p_Wr_error(plus(t_139,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f260,plain,
( spl0_34
<=> ! [X34] :
( ~ p_Wr_error(X34)
| p_Wr(X34)
| p_Reset(X34)
| p_Wr_error(plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f338,plain,
( p_Wr(t_139)
| p_Reset(t_139)
| ~ p_Wr_error(t_139)
| spl0_3
| ~ spl0_34 ),
inference(resolution,[],[f111,f261]) ).
fof(f261,plain,
( ! [X34] :
( p_Wr_error(plus(X34,n1))
| p_Wr(X34)
| p_Reset(X34)
| ~ p_Wr_error(X34) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f111,plain,
( ~ p_Wr_error(plus(t_139,n1))
| spl0_3 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f350,plain,
spl0_44,
inference(avatar_split_clause,[],[f97,f348]) ).
fof(f348,plain,
( spl0_44
<=> ! [X4,X5] :
( def_10(X4,plus(X5,X4))
| minus(plus(X5,X4),X4) = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f97,plain,
! [X4,X5] :
( def_10(X4,plus(X5,X4))
| minus(plus(X5,X4),X4) = X5 ),
inference(equality_resolution,[],[f5]) ).
fof(f5,axiom,
! [X3,X4,X5] :
( def_10(X4,X3)
| plus(X5,X4) != X3
| minus(X3,X4) = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f346,plain,
spl0_43,
inference(avatar_split_clause,[],[f86,f344]) ).
fof(f344,plain,
( spl0_43
<=> ! [X34] :
( ~ p_Rd_error(X34)
| p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| p_Rd_error(plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f86,axiom,
! [X34] :
( ~ p_Rd_error(X34)
| p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| p_Rd_error(plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_86) ).
fof(f342,plain,
spl0_42,
inference(avatar_split_clause,[],[f85,f340]) ).
fof(f340,plain,
( spl0_42
<=> ! [X34] :
( p_Rd_error(X34)
| p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ p_Rd_error(plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f85,axiom,
! [X34] :
( p_Rd_error(X34)
| p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ p_Rd_error(plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_85) ).
fof(f337,plain,
( spl0_4
| spl0_2
| spl0_1
| ~ spl0_3
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f297,f256,f109,f99,f104,f113]) ).
fof(f256,plain,
( spl0_33
<=> ! [X34] :
( p_Wr_error(X34)
| p_Wr(X34)
| p_Reset(X34)
| ~ p_Wr_error(plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f297,plain,
( p_Wr(t_139)
| p_Reset(t_139)
| p_Wr_error(t_139)
| ~ spl0_3
| ~ spl0_33 ),
inference(resolution,[],[f257,f110]) ).
fof(f110,plain,
( p_Wr_error(plus(t_139,n1))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f257,plain,
( ! [X34] :
( ~ p_Wr_error(plus(X34,n1))
| p_Wr(X34)
| p_Reset(X34)
| p_Wr_error(X34) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f336,plain,
spl0_41,
inference(avatar_split_clause,[],[f50,f334]) ).
fof(f334,plain,
( spl0_41
<=> ! [X34] :
( ~ p_Rd_error(X34)
| ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| p_Rd_error(plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f50,axiom,
! [X34] :
( ~ p_Rd_error(X34)
| ~ p_Wr(X34)
| p_Rd(X34)
| p_Reset(X34)
| p_Rd_error(plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_50) ).
fof(f332,plain,
spl0_40,
inference(avatar_split_clause,[],[f49,f330]) ).
fof(f330,plain,
( spl0_40
<=> ! [X34] :
( ~ p_Wr(X34)
| p_Rd_error(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ p_Rd_error(plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f49,axiom,
! [X34] :
( ~ p_Wr(X34)
| p_Rd_error(X34)
| p_Rd(X34)
| p_Reset(X34)
| ~ p_Rd_error(plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_49) ).
fof(f316,plain,
spl0_39,
inference(avatar_split_clause,[],[f69,f314]) ).
fof(f314,plain,
( spl0_39
<=> ! [X34] :
( p_Wr(X34)
| p_Reset(X34)
| wr_level(X34) = wr_level(plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f69,axiom,
! [X34] :
( p_Wr(X34)
| p_Reset(X34)
| wr_level(X34) = wr_level(plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_69) ).
fof(f312,plain,
spl0_38,
inference(avatar_split_clause,[],[f11,f310]) ).
fof(f310,plain,
( spl0_38
<=> ! [X11,X10] :
( X10 = X11
| gt(X10,X11)
| ~ gt(plus(X10,n1),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f11,axiom,
! [X10,X11] :
( X10 = X11
| gt(X10,X11)
| ~ gt(plus(X10,n1),X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f293,plain,
( ~ spl0_36
| ~ spl0_37
| ~ spl0_9
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f184,f170,f135,f290,f286]) ).
fof(f286,plain,
( spl0_36
<=> p_Reset(n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f290,plain,
( spl0_37
<=> p_Wr_error(n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f135,plain,
( spl0_9
<=> ! [X24] : plus(n0,X24) = X24 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f170,plain,
( spl0_17
<=> ! [X30] :
( ~ p_Reset(X30)
| ~ p_Wr_error(plus(X30,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f184,plain,
( ~ p_Wr_error(n1)
| ~ p_Reset(n0)
| ~ spl0_9
| ~ spl0_17 ),
inference(superposition,[],[f171,f136]) ).
fof(f136,plain,
( ! [X24] : plus(n0,X24) = X24
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f171,plain,
( ! [X30] :
( ~ p_Wr_error(plus(X30,n1))
| ~ p_Reset(X30) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f266,plain,
spl0_35,
inference(avatar_split_clause,[],[f96,f264]) ).
fof(f264,plain,
( spl0_35
<=> ! [X4,X3] :
( def_10(X4,X3)
| plus(minus(X3,X4),X4) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f96,plain,
! [X3,X4] :
( def_10(X4,X3)
| plus(minus(X3,X4),X4) = X3 ),
inference(equality_resolution,[],[f4]) ).
fof(f4,axiom,
! [X3,X4,X5] :
( def_10(X4,X3)
| minus(X3,X4) != X5
| plus(X5,X4) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f262,plain,
spl0_34,
inference(avatar_split_clause,[],[f90,f260]) ).
fof(f90,axiom,
! [X34] :
( ~ p_Wr_error(X34)
| p_Wr(X34)
| p_Reset(X34)
| p_Wr_error(plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_90) ).
fof(f258,plain,
spl0_33,
inference(avatar_split_clause,[],[f89,f256]) ).
fof(f89,axiom,
! [X34] :
( p_Wr_error(X34)
| p_Wr(X34)
| p_Reset(X34)
| ~ p_Wr_error(plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_89) ).
fof(f254,plain,
spl0_32,
inference(avatar_split_clause,[],[f51,f252]) ).
fof(f252,plain,
( spl0_32
<=> ! [X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ p_Wr_error(plus(X34,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f51,axiom,
! [X34] :
( ~ p_Wr(X34)
| ~ p_Rd(X34)
| p_Reset(X34)
| ~ p_Wr_error(plus(X34,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_51) ).
fof(f250,plain,
spl0_31,
inference(avatar_split_clause,[],[f18,f248]) ).
fof(f248,plain,
( spl0_31
<=> ! [X22,X23] :
( X22 = X23
| plus(X22,n1) != plus(X23,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f18,axiom,
! [X22,X23] :
( X22 = X23
| plus(X22,n1) != plus(X23,n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
fof(f246,plain,
spl0_30,
inference(avatar_split_clause,[],[f9,f244]) ).
fof(f244,plain,
( spl0_30
<=> ! [X6,X7] :
( gt(X6,X7)
| ~ gt(plus(X6,n1),plus(X7,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f9,axiom,
! [X6,X7] :
( gt(X6,X7)
| ~ gt(plus(X6,n1),plus(X7,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f242,plain,
spl0_29,
inference(avatar_split_clause,[],[f8,f240]) ).
fof(f240,plain,
( spl0_29
<=> ! [X6,X7] :
( ~ gt(X6,X7)
| gt(plus(X6,n1),plus(X7,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f8,axiom,
! [X6,X7] :
( ~ gt(X6,X7)
| gt(plus(X6,n1),plus(X7,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f223,plain,
spl0_28,
inference(avatar_split_clause,[],[f16,f221]) ).
fof(f221,plain,
( spl0_28
<=> ! [X20] :
( n0 = X20
| plus(y_27(X20),n1) = X20 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f16,axiom,
! [X20] :
( n0 = X20
| plus(y_27(X20),n1) = X20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
fof(f219,plain,
spl0_27,
inference(avatar_split_clause,[],[f13,f217]) ).
fof(f217,plain,
( spl0_27
<=> ! [X16,X14,X15] :
( ~ gt(X15,X16)
| ~ gt(X14,X15)
| gt(X14,X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f13,axiom,
! [X16,X14,X15] :
( ~ gt(X15,X16)
| ~ gt(X14,X15)
| gt(X14,X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f215,plain,
spl0_26,
inference(avatar_split_clause,[],[f12,f213]) ).
fof(f213,plain,
( spl0_26
<=> ! [X13,X12] :
( X12 = X13
| gt(X12,X13)
| gt(X13,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f12,axiom,
! [X12,X13] :
( X12 = X13
| gt(X12,X13)
| gt(X13,X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f210,plain,
spl0_25,
inference(avatar_split_clause,[],[f31,f208]) ).
fof(f208,plain,
( spl0_25
<=> ! [X32,X30,X31] :
( ~ p_Reset(X30)
| ~ p_Mem(X31,X32,plus(X30,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f31,axiom,
! [X31,X32,X30] :
( ~ p_Reset(X30)
| ~ p_Mem(X31,X32,plus(X30,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).
fof(f206,plain,
spl0_24,
inference(avatar_split_clause,[],[f28,f204]) ).
fof(f204,plain,
( spl0_24
<=> ! [X30] :
( ~ p_Reset(X30)
| n0 = rd_level(plus(X30,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f28,axiom,
! [X30] :
( ~ p_Reset(X30)
| n0 = rd_level(plus(X30,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
fof(f202,plain,
spl0_23,
inference(avatar_split_clause,[],[f27,f200]) ).
fof(f200,plain,
( spl0_23
<=> ! [X30] :
( ~ p_Reset(X30)
| n0 = wr_level(plus(X30,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f27,axiom,
! [X30] :
( ~ p_Reset(X30)
| n0 = wr_level(plus(X30,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).
fof(f198,plain,
spl0_22,
inference(avatar_split_clause,[],[f26,f196]) ).
fof(f196,plain,
( spl0_22
<=> ! [X30] :
( ~ p_Reset(X30)
| n0 = int_level(plus(X30,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f26,axiom,
! [X30] :
( ~ p_Reset(X30)
| n0 = int_level(plus(X30,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
fof(f194,plain,
spl0_21,
inference(avatar_split_clause,[],[f3,f192]) ).
fof(f192,plain,
( spl0_21
<=> ! [X2] :
( ~ gt(X2,n0)
| gt(X2,minus(X2,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f3,axiom,
! [X2] :
( ~ gt(X2,n0)
| gt(X2,minus(X2,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f189,plain,
spl0_20,
inference(avatar_split_clause,[],[f32,f187]) ).
fof(f187,plain,
( spl0_20
<=> ! [X30,X33] :
( ~ p_Reset(X30)
| ~ p_Data_out(X33,plus(X30,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f32,axiom,
! [X30,X33] :
( ~ p_Reset(X30)
| ~ p_Data_out(X33,plus(X30,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).
fof(f182,plain,
( ~ spl0_19
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f139,f135,f127,f179]) ).
fof(f179,plain,
( spl0_19
<=> n1 = n0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f127,plain,
( spl0_7
<=> ! [X0] : plus(X0,n1) != n0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f139,plain,
( n1 != n0
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f128,f136]) ).
fof(f128,plain,
( ! [X0] : plus(X0,n1) != n0
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f176,plain,
spl0_18,
inference(avatar_split_clause,[],[f30,f174]) ).
fof(f174,plain,
( spl0_18
<=> ! [X30] :
( ~ p_Reset(X30)
| ~ p_Rd_error(plus(X30,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f30,axiom,
! [X30] :
( ~ p_Reset(X30)
| ~ p_Rd_error(plus(X30,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
fof(f172,plain,
spl0_17,
inference(avatar_split_clause,[],[f29,f170]) ).
fof(f29,axiom,
! [X30] :
( ~ p_Reset(X30)
| ~ p_Wr_error(plus(X30,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).
fof(f168,plain,
spl0_16,
inference(avatar_split_clause,[],[f25,f166]) ).
fof(f166,plain,
( spl0_16
<=> ! [X29] :
( ~ p_Empty(X29)
| n0 = int_level(X29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f25,axiom,
! [X29] :
( ~ p_Empty(X29)
| n0 = int_level(X29) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).
fof(f164,plain,
spl0_15,
inference(avatar_split_clause,[],[f24,f162]) ).
fof(f162,plain,
( spl0_15
<=> ! [X28] :
( p_Empty(X28)
| n0 != int_level(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f24,axiom,
! [X28] :
( p_Empty(X28)
| n0 != int_level(X28) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).
fof(f160,plain,
( spl0_14
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f138,f135,f131,f157]) ).
fof(f157,plain,
( spl0_14
<=> gt(n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f131,plain,
( spl0_8
<=> ! [X1] : gt(plus(X1,n1),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f138,plain,
( gt(n1,n0)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f132,f136]) ).
fof(f132,plain,
( ! [X1] : gt(plus(X1,n1),n0)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f155,plain,
spl0_13,
inference(avatar_split_clause,[],[f23,f153]) ).
fof(f153,plain,
( spl0_13
<=> ! [X27] :
( ~ p_Full(X27)
| fifo_length = int_level(X27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f23,axiom,
! [X27] :
( ~ p_Full(X27)
| fifo_length = int_level(X27) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).
fof(f151,plain,
spl0_12,
inference(avatar_split_clause,[],[f22,f149]) ).
fof(f149,plain,
( spl0_12
<=> ! [X26] :
( p_Full(X26)
| int_level(X26) != fifo_length ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f22,axiom,
! [X26] :
( p_Full(X26)
| int_level(X26) != fifo_length ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
fof(f147,plain,
spl0_11,
inference(avatar_split_clause,[],[f15,f145]) ).
fof(f145,plain,
( spl0_11
<=> ! [X19] :
( n0 = X19
| gt(X19,n0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f15,axiom,
! [X19] :
( n0 = X19
| gt(X19,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f143,plain,
spl0_10,
inference(avatar_split_clause,[],[f6,f141]) ).
fof(f141,plain,
( spl0_10
<=> ! [X4,X3] :
( ~ def_10(X4,X3)
| ~ gt(X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f6,axiom,
! [X3,X4] :
( ~ def_10(X4,X3)
| ~ gt(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f137,plain,
spl0_9,
inference(avatar_split_clause,[],[f19,f135]) ).
fof(f19,axiom,
! [X24] : plus(n0,X24) = X24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f133,plain,
spl0_8,
inference(avatar_split_clause,[],[f2,f131]) ).
fof(f2,axiom,
! [X1] : gt(plus(X1,n1),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f129,plain,
spl0_7,
inference(avatar_split_clause,[],[f1,f127]) ).
fof(f1,axiom,
! [X0] : plus(X0,n1) != n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f125,plain,
spl0_6,
inference(avatar_split_clause,[],[f95,f123]) ).
fof(f123,plain,
( spl0_6
<=> ! [X4] : ~ def_10(X4,X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f95,plain,
! [X4] : ~ def_10(X4,X4),
inference(equality_resolution,[],[f7]) ).
fof(f7,axiom,
! [X3,X4] :
( X3 != X4
| ~ def_10(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f121,plain,
spl0_5,
inference(avatar_split_clause,[],[f17,f119]) ).
fof(f119,plain,
( spl0_5
<=> ! [X21] : ~ gt(X21,X21) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f17,axiom,
! [X21] : ~ gt(X21,X21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f117,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f94,f113,f109]) ).
fof(f94,axiom,
( p_Wr_error(t_139)
| p_Wr_error(plus(t_139,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
fof(f116,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f93,f113,f109]) ).
fof(f93,axiom,
( ~ p_Wr_error(t_139)
| ~ p_Wr_error(plus(t_139,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
fof(f107,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f92,f104]) ).
fof(f92,axiom,
~ p_Reset(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
fof(f102,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f91,f99]) ).
fof(f91,axiom,
~ p_Wr(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.19 % Problem : HWV026-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.21 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.42 % Computer : n025.cluster.edu
% 0.13/0.42 % Model : x86_64 x86_64
% 0.13/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.42 % Memory : 8042.1875MB
% 0.13/0.42 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.42 % CPULimit : 300
% 0.13/0.42 % WCLimit : 300
% 0.13/0.42 % DateTime : Fri May 3 21:39:08 EDT 2024
% 0.13/0.42 % CPUTime :
% 0.20/0.42 % (14873)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.44 % (14880)WARNING: value z3 for option sas not known
% 0.20/0.44 % (14878)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.44 % (14881)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.44 % (14880)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.44 % (14879)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.44 % (14883)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.44 % (14884)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.44 % (14882)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.45 TRYING [1]
% 0.20/0.45 % (14883)Also succeeded, but the first one will report.
% 0.20/0.45 % (14882)First to succeed.
% 0.20/0.45 TRYING [2]
% 0.20/0.45 % (14880)Also succeeded, but the first one will report.
% 0.20/0.46 % (14882)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14873"
% 0.20/0.46 % (14882)Refutation found. Thanks to Tanya!
% 0.20/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.46 % (14882)------------------------------
% 0.20/0.46 % (14882)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.46 % (14882)Termination reason: Refutation
% 0.20/0.46
% 0.20/0.46 % (14882)Memory used [KB]: 1006
% 0.20/0.46 % (14882)Time elapsed: 0.013 s
% 0.20/0.46 % (14882)Instructions burned: 17 (million)
% 0.20/0.46 % (14873)Success in time 0.033 s
%------------------------------------------------------------------------------