%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MSC008-1.002 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:04:56 PM UTC 2026
% Result : Unsatisfiable 1.05s 1.13s
% Output : Refutation 2.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 30
% Syntax : Number of formulae : 197 ( 16 unt; 21 def)
% Number of atoms : 591 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 793 ( 399 ~; 373 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 22 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 135 ( 0 sgn 135 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
~ eq(p_1,p_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_1_is_not_p_2) ).
fof(f10,axiom,
! [X0,X1] :
( latin(X0,X1,p_2)
| latin(X0,X1,p_1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',latin_cell_element) ).
fof(f11,axiom,
! [X0,X1] :
( latin(X0,p_2,X1)
| latin(X0,p_1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',latin_column_required) ).
fof(f12,axiom,
! [X0,X1] :
( latin(p_2,X0,X1)
| latin(p_1,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',latin_row_required) ).
fof(f13,axiom,
! [X0,X1] :
( greek(X0,X1,p_2)
| greek(X0,X1,p_1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greek_cell_element) ).
fof(f14,axiom,
! [X0,X1] :
( greek(X0,p_2,X1)
| greek(X0,p_1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greek_column_required) ).
fof(f15,axiom,
! [X0,X1] :
( greek(p_2,X0,X1)
| greek(p_1,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greek_row_required) ).
fof(f16,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( eq(X1,X5)
| ~ latin(X0,X1,X3)
| ~ greek(X4,X5,X2)
| ~ latin(X4,X5,X3)
| ~ greek(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_two_same1) ).
fof(f17,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( eq(X0,X4)
| ~ latin(X0,X1,X3)
| ~ greek(X4,X5,X2)
| ~ latin(X4,X5,X3)
| ~ greek(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_two_same2) ).
fof(f18,plain,
! [X2,X3,X0,X1] :
( ~ greek(p_2,X2,X3)
| ~ greek(p_1,X0,X3)
| ~ latin(p_2,X2,X1)
| ~ latin(p_1,X0,X1) ),
inference(resolution,[],[f1,f17]) ).
fof(f19,plain,
! [X2,X3,X0,X1] :
( ~ greek(X2,p_2,X3)
| ~ greek(X0,p_1,X3)
| ~ latin(X2,p_2,X1)
| ~ latin(X0,p_1,X1) ),
inference(resolution,[],[f1,f16]) ).
fof(f24,plain,
! [X2,X0,X1] :
( greek(p_2,X0,p_1)
| ~ greek(p_1,X1,p_2)
| ~ latin(p_2,X0,X2)
| ~ latin(p_1,X1,X2) ),
inference(resolution,[],[f13,f18]) ).
fof(f25,plain,
! [X2,X0,X1] :
( greek(p_1,X0,p_1)
| ~ greek(p_2,X1,p_2)
| ~ latin(p_2,X1,X2)
| ~ latin(p_1,X0,X2) ),
inference(resolution,[],[f13,f18]) ).
fof(f29,plain,
! [X2,X3,X0,X1] :
( ~ greek(p_1,X0,p_2)
| ~ latin(p_2,p_2,X1)
| ~ latin(p_1,X0,X1)
| ~ greek(X2,p_1,p_1)
| ~ latin(p_2,p_2,X3)
| ~ latin(X2,p_1,X3) ),
inference(resolution,[],[f24,f19]) ).
fof(f30,plain,
! [X2,X3,X0,X1] :
( ~ greek(p_1,X0,p_2)
| ~ latin(p_2,p_1,X1)
| ~ latin(p_1,X0,X1)
| ~ greek(X2,p_2,p_1)
| ~ latin(X2,p_2,X3)
| ~ latin(p_2,p_1,X3) ),
inference(resolution,[],[f24,f19]) ).
fof(f32,definition,
( spl0_1
<=> ! [X2,X3] :
( ~ greek(X2,p_2,p_1)
| ~ latin(p_2,p_1,X3)
| ~ latin(X2,p_2,X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f33,plain,
( ! [X2,X3] :
( ~ greek(X2,p_2,p_1)
| ~ latin(p_2,p_1,X3)
| ~ latin(X2,p_2,X3) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f35,definition,
( spl0_2
<=> ! [X0,X1] :
( ~ greek(p_1,X0,p_2)
| ~ latin(p_1,X0,X1)
| ~ latin(p_2,p_1,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f36,plain,
( ! [X0,X1] :
( ~ greek(p_1,X0,p_2)
| ~ latin(p_1,X0,X1)
| ~ latin(p_2,p_1,X1) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f37,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f30,f35,f32]) ).
fof(f39,definition,
( spl0_3
<=> ! [X2,X3] :
( ~ greek(X2,p_1,p_1)
| ~ latin(X2,p_1,X3)
| ~ latin(p_2,p_2,X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f40,plain,
( ! [X2,X3] :
( ~ greek(X2,p_1,p_1)
| ~ latin(X2,p_1,X3)
| ~ latin(p_2,p_2,X3) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f42,definition,
( spl0_4
<=> ! [X0,X1] :
( ~ greek(p_1,X0,p_2)
| ~ latin(p_1,X0,X1)
| ~ latin(p_2,p_2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f43,plain,
( ! [X0,X1] :
( ~ greek(p_1,X0,p_2)
| ~ latin(p_1,X0,X1)
| ~ latin(p_2,p_2,X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f44,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f29,f42,f39]) ).
fof(f52,definition,
( spl0_5
<=> ! [X2,X1] :
( ~ greek(X1,p_2,p_1)
| ~ latin(p_1,p_1,X2)
| ~ latin(X1,p_2,X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f53,plain,
( ! [X2,X1] :
( ~ greek(X1,p_2,p_1)
| ~ latin(p_1,p_1,X2)
| ~ latin(X1,p_2,X2) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f55,definition,
( spl0_6
<=> ! [X0] :
( ~ latin(p_2,p_1,X0)
| ~ latin(p_1,p_1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f56,plain,
( ! [X0] :
( ~ latin(p_2,p_1,X0)
| ~ latin(p_1,p_1,X0) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f62,definition,
( spl0_8
<=> ! [X0] :
( ~ latin(p_2,p_1,X0)
| ~ latin(p_1,p_2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f63,plain,
( ! [X0] :
( ~ latin(p_2,p_1,X0)
| ~ latin(p_1,p_2,X0) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f66,definition,
( spl0_9
<=> ! [X1] :
( ~ latin(p_1,p_1,X1)
| ~ latin(p_2,p_2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f67,plain,
( ! [X1] :
( ~ latin(p_2,p_2,X1)
| ~ latin(p_1,p_1,X1) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f70,definition,
( spl0_10
<=> ! [X0] :
( ~ latin(p_2,p_1,X0)
| ~ latin(p_2,p_2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f71,plain,
( ! [X0] :
( ~ latin(p_2,p_2,X0)
| ~ latin(p_2,p_1,X0) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f76,plain,
! [X2,X0,X1] :
( greek(p_2,p_1,X0)
| ~ greek(p_1,X1,X0)
| ~ latin(p_2,p_2,X2)
| ~ latin(p_1,X1,X2) ),
inference(resolution,[],[f14,f18]) ).
fof(f80,definition,
( spl0_11
<=> latin(p_2,p_1,p_1) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f81,plain,
( latin(p_2,p_1,p_1)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f83,definition,
( spl0_12
<=> latin(p_1,p_1,p_2) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f84,plain,
( ~ latin(p_1,p_1,p_2)
| spl0_12 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f89,definition,
( spl0_13
<=> greek(p_1,p_1,p_2) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f90,plain,
( greek(p_1,p_1,p_2)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f96,plain,
( ! [X0] :
( ~ latin(p_2,p_1,X0)
| latin(p_1,p_2,X0) )
| ~ spl0_10 ),
inference(resolution,[],[f71,f12]) ).
fof(f100,definition,
( spl0_14
<=> latin(p_2,p_2,p_1) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f101,plain,
( latin(p_2,p_2,p_1)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f113,plain,
( latin(p_1,p_2,p_1)
| ~ spl0_10
| ~ spl0_11 ),
inference(resolution,[],[f96,f81]) ).
fof(f115,plain,
( latin(p_1,p_2,p_2)
| latin(p_2,p_1,p_1)
| ~ spl0_10 ),
inference(resolution,[],[f96,f10]) ).
fof(f136,plain,
( ! [X0] :
( ~ latin(p_1,p_1,X0)
| ~ latin(p_2,p_1,X0) )
| ~ spl0_2
| ~ spl0_13 ),
inference(resolution,[],[f36,f90]) ).
fof(f144,definition,
( spl0_17
<=> ! [X0,X1] :
( ~ greek(p_2,X0,p_2)
| ~ latin(p_1,p_1,X1)
| ~ latin(p_2,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f145,plain,
( ! [X0,X1] :
( ~ greek(p_2,X0,p_2)
| ~ latin(p_1,p_1,X1)
| ~ latin(p_2,X0,X1) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f148,definition,
( spl0_18
<=> ! [X0,X1] :
( ~ greek(p_2,X0,p_2)
| ~ latin(p_1,p_2,X1)
| ~ latin(p_2,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f149,plain,
( ! [X0,X1] :
( ~ greek(p_2,X0,p_2)
| ~ latin(p_1,p_2,X1)
| ~ latin(p_2,X0,X1) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f157,plain,
( ! [X0] :
( latin(p_1,p_2,X0)
| ~ latin(p_1,p_1,X0) )
| ~ spl0_9 ),
inference(resolution,[],[f67,f12]) ).
fof(f158,plain,
( ! [X0] :
( latin(p_2,p_1,X0)
| ~ latin(p_1,p_1,X0) )
| ~ spl0_9 ),
inference(resolution,[],[f67,f11]) ).
fof(f159,plain,
( ~ latin(p_1,p_1,p_2)
| latin(p_2,p_2,p_1)
| ~ spl0_9 ),
inference(resolution,[],[f67,f10]) ).
fof(f161,plain,
( ~ latin(p_1,p_1,p_1)
| ~ spl0_9
| ~ spl0_14 ),
inference(resolution,[],[f101,f67]) ).
fof(f162,plain,
( ~ latin(p_2,p_1,p_1)
| ~ spl0_10
| ~ spl0_14 ),
inference(resolution,[],[f101,f71]) ).
fof(f164,plain,
( latin(p_1,p_1,p_1)
| ~ spl0_10
| ~ spl0_14 ),
inference(resolution,[],[f162,f12]) ).
fof(f167,definition,
( spl0_19
<=> latin(p_1,p_2,p_2) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f168,plain,
( latin(p_1,p_2,p_2)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f188,plain,
( spl0_6
| ~ spl0_2
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f136,f89,f35,f55]) ).
fof(f192,plain,
( ~ latin(p_1,p_2,p_2)
| latin(p_2,p_1,p_1)
| ~ spl0_8 ),
inference(resolution,[],[f63,f10]) ).
fof(f193,plain,
( ~ latin(p_1,p_2,p_2)
| spl0_19 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f195,plain,
( latin(p_1,p_1,p_2)
| spl0_19 ),
inference(resolution,[],[f193,f11]) ).
fof(f196,plain,
( latin(p_1,p_2,p_1)
| spl0_19 ),
inference(resolution,[],[f193,f10]) ).
fof(f212,plain,
( ! [X0] :
( greek(p_1,p_2,p_1)
| ~ latin(p_1,p_1,X0)
| ~ latin(p_2,p_2,X0) )
| ~ spl0_5 ),
inference(resolution,[],[f15,f53]) ).
fof(f214,definition,
( spl0_23
<=> greek(p_1,p_1,p_1) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f215,plain,
( greek(p_1,p_1,p_1)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f218,plain,
( ! [X0] :
( ~ latin(p_1,p_1,X0)
| ~ latin(p_2,p_2,X0) )
| ~ spl0_3
| ~ spl0_23 ),
inference(resolution,[],[f215,f40]) ).
fof(f221,plain,
( ~ latin(p_1,p_1,p_2)
| ~ spl0_9
| spl0_19 ),
inference(resolution,[],[f157,f193]) ).
fof(f222,plain,
( ~ spl0_12
| ~ spl0_9
| spl0_19 ),
inference(avatar_split_clause,[],[f221,f167,f66,f83]) ).
fof(f225,definition,
( spl0_24
<=> greek(p_1,p_2,p_1) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f226,plain,
( greek(p_1,p_2,p_1)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f231,plain,
( ! [X0,X1] :
( greek(p_1,X0,p_1)
| ~ latin(p_2,p_2,X1)
| ~ latin(p_1,X0,X1) )
| ~ spl0_4 ),
inference(resolution,[],[f43,f13]) ).
fof(f234,definition,
( spl0_25
<=> ! [X0] :
( ~ latin(p_1,p_2,X0)
| ~ latin(p_2,p_2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f235,plain,
( ! [X0] :
( ~ latin(p_2,p_2,X0)
| ~ latin(p_1,p_2,X0) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f239,plain,
( ! [X0] :
( latin(p_2,p_1,X0)
| ~ latin(p_1,p_2,X0) )
| ~ spl0_25 ),
inference(resolution,[],[f235,f11]) ).
fof(f240,plain,
( ~ latin(p_1,p_2,p_2)
| latin(p_2,p_2,p_1)
| ~ spl0_25 ),
inference(resolution,[],[f235,f10]) ).
fof(f254,plain,
( ! [X0] :
( ~ latin(p_2,p_1,X0)
| ~ latin(p_1,p_2,X0) )
| ~ spl0_1
| ~ spl0_24 ),
inference(resolution,[],[f33,f226]) ).
fof(f257,plain,
( ! [X0] :
( ~ latin(p_1,p_1,X0)
| ~ latin(p_2,p_2,X0) )
| ~ spl0_4
| ~ spl0_13 ),
inference(resolution,[],[f90,f43]) ).
fof(f259,plain,
( spl0_9
| ~ spl0_4
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f257,f89,f42,f66]) ).
fof(f260,plain,
( spl0_9
| ~ spl0_3
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f218,f214,f39,f66]) ).
fof(f264,plain,
( spl0_11
| spl0_19
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f115,f70,f167,f80]) ).
fof(f276,plain,
( ~ latin(p_1,p_2,p_1)
| ~ spl0_8
| ~ spl0_11 ),
inference(resolution,[],[f81,f63]) ).
fof(f277,plain,
( ! [X0,X1] :
( greek(p_1,X1,p_2)
| ~ latin(p_2,X1,X0)
| ~ latin(p_1,p_1,X0) )
| ~ spl0_17 ),
inference(resolution,[],[f145,f15]) ).
fof(f279,plain,
( ! [X0] :
( ~ latin(p_1,p_1,X0)
| ~ latin(p_2,p_2,X0)
| greek(p_2,p_1,p_2) )
| ~ spl0_17 ),
inference(resolution,[],[f145,f14]) ).
fof(f281,definition,
( spl0_26
<=> greek(p_2,p_1,p_2) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f282,plain,
( greek(p_2,p_1,p_2)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f295,plain,
( ! [X0,X1] :
( ~ greek(p_1,X0,p_2)
| ~ latin(p_2,p_1,X1)
| ~ latin(p_1,X0,X1) )
| ~ spl0_26 ),
inference(resolution,[],[f282,f18]) ).
fof(f303,definition,
( spl0_29
<=> ! [X2,X1] :
( ~ greek(X1,p_1,p_2)
| ~ latin(X1,p_1,X2)
| ~ latin(p_1,p_2,X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f304,plain,
( ! [X2,X1] :
( ~ greek(X1,p_1,p_2)
| ~ latin(X1,p_1,X2)
| ~ latin(p_1,p_2,X2) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f315,plain,
( latin(p_1,p_1,p_1)
| ~ spl0_8
| ~ spl0_11 ),
inference(resolution,[],[f276,f11]) ).
fof(f320,plain,
( spl0_8
| ~ spl0_1
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f254,f225,f32,f62]) ).
fof(f323,plain,
( spl0_2
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f295,f281,f35]) ).
fof(f325,plain,
( spl0_14
| ~ spl0_19
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f240,f234,f167,f100]) ).
fof(f330,plain,
( spl0_11
| ~ spl0_19
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f192,f62,f167,f80]) ).
fof(f336,plain,
( ! [X0] :
( ~ latin(p_1,p_2,X0)
| ~ latin(p_2,p_2,X0)
| greek(p_1,p_1,p_2) )
| ~ spl0_4 ),
inference(resolution,[],[f43,f14]) ).
fof(f337,plain,
( spl0_13
| spl0_25
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f336,f42,f234,f89]) ).
fof(f353,plain,
( $false
| spl0_12
| spl0_19 ),
inference(resolution,[],[f195,f84]) ).
fof(f354,plain,
( spl0_12
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f353]) ).
fof(f371,plain,
( ! [X2,X0,X1] :
( ~ latin(p_2,p_2,X0)
| ~ latin(p_1,p_1,X0)
| ~ greek(X1,p_2,p_1)
| ~ latin(X1,p_2,X2)
| ~ latin(p_1,p_1,X2) )
| ~ spl0_4 ),
inference(resolution,[],[f231,f19]) ).
fof(f372,plain,
( spl0_5
| spl0_9
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f371,f42,f66,f52]) ).
fof(f380,plain,
( ! [X0] :
( ~ latin(p_1,p_2,X0)
| ~ latin(p_1,p_2,X0) )
| ~ spl0_8
| ~ spl0_25 ),
inference(resolution,[],[f239,f63]) ).
fof(f381,plain,
( ! [X0] : ~ latin(p_1,p_2,X0)
| ~ spl0_8
| ~ spl0_25 ),
inference(duplicate_literal_removal,[],[f380]) ).
fof(f385,plain,
( $false
| ~ spl0_8
| spl0_19
| ~ spl0_25 ),
inference(resolution,[],[f381,f196]) ).
fof(f388,plain,
( ~ spl0_8
| spl0_19
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f385]) ).
fof(f417,plain,
( $false
| ~ spl0_8
| ~ spl0_19
| ~ spl0_25 ),
inference(resolution,[],[f168,f381]) ).
fof(f418,plain,
( ~ spl0_8
| ~ spl0_19
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f417]) ).
fof(f423,plain,
( spl0_26
| spl0_9
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f279,f144,f66,f281]) ).
fof(f431,plain,
( ! [X0] :
( ~ latin(p_1,p_2,X0)
| ~ latin(p_2,p_1,X0)
| greek(p_1,p_1,p_2) )
| ~ spl0_2 ),
inference(resolution,[],[f36,f14]) ).
fof(f438,plain,
( ! [X0] :
( ~ latin(p_2,p_1,X0)
| ~ latin(p_2,p_2,X0)
| greek(p_1,p_1,p_1) )
| ~ spl0_3 ),
inference(resolution,[],[f40,f15]) ).
fof(f439,plain,
( ! [X2,X0,X1] :
( ~ latin(p_1,p_1,X0)
| ~ latin(p_2,p_2,X0)
| ~ greek(p_2,X1,p_2)
| ~ latin(p_2,X1,X2)
| ~ latin(p_1,p_1,X2) )
| ~ spl0_3 ),
inference(resolution,[],[f40,f25]) ).
fof(f440,plain,
( spl0_17
| spl0_9
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f439,f39,f66,f144]) ).
fof(f441,plain,
( spl0_23
| spl0_10
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f438,f39,f70,f214]) ).
fof(f475,plain,
( ! [X2,X0,X1] :
( ~ latin(p_2,p_2,X0)
| ~ latin(p_1,p_1,X0)
| ~ greek(X1,p_1,p_2)
| ~ latin(p_1,p_2,X2)
| ~ latin(X1,p_1,X2) )
| ~ spl0_17 ),
inference(resolution,[],[f277,f19]) ).
fof(f478,plain,
( spl0_29
| spl0_9
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f475,f144,f66,f303]) ).
fof(f480,plain,
( $false
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(resolution,[],[f276,f113]) ).
fof(f482,plain,
( ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f480]) ).
fof(f483,plain,
( spl0_9
| spl0_24
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f212,f52,f225,f66]) ).
fof(f484,plain,
( spl0_14
| ~ spl0_12
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f159,f66,f83,f100]) ).
fof(f513,plain,
( ! [X0] :
( ~ latin(p_2,p_1,X0)
| ~ latin(p_1,p_2,X0) )
| ~ spl0_26
| ~ spl0_29 ),
inference(resolution,[],[f304,f282]) ).
fof(f572,plain,
( ~ latin(p_1,p_1,p_1)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(resolution,[],[f157,f276]) ).
fof(f581,plain,
( $false
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(resolution,[],[f572,f315]) ).
fof(f582,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f581]) ).
fof(f586,plain,
( spl0_8
| ~ spl0_26
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f513,f303,f281,f62]) ).
fof(f598,plain,
( spl0_13
| spl0_8
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f431,f35,f62,f89]) ).
fof(f634,plain,
( ! [X0] :
( ~ latin(p_1,p_1,X0)
| ~ latin(p_1,p_1,X0) )
| ~ spl0_6
| ~ spl0_9 ),
inference(resolution,[],[f158,f56]) ).
fof(f635,plain,
( ! [X0] : ~ latin(p_1,p_1,X0)
| ~ spl0_6
| ~ spl0_9 ),
inference(duplicate_literal_removal,[],[f634]) ).
fof(f642,plain,
( latin(p_1,p_1,p_1)
| ~ spl0_6
| ~ spl0_9 ),
inference(resolution,[],[f635,f10]) ).
fof(f646,plain,
( $false
| ~ spl0_6
| ~ spl0_9 ),
inference(resolution,[],[f642,f635]) ).
fof(f647,plain,
( ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f646]) ).
fof(f664,plain,
( ! [X2,X0,X1] :
( ~ latin(p_2,p_1,X0)
| ~ latin(p_2,p_2,X0)
| ~ greek(p_1,X1,p_2)
| ~ latin(p_2,p_2,X2)
| ~ latin(p_1,X1,X2) )
| ~ spl0_1 ),
inference(resolution,[],[f33,f24]) ).
fof(f665,plain,
( ! [X0] :
( ~ latin(p_2,p_1,X0)
| ~ latin(p_2,p_2,X0)
| greek(p_1,p_2,p_1) )
| ~ spl0_1 ),
inference(resolution,[],[f33,f15]) ).
fof(f666,plain,
( ! [X2,X0,X1] :
( ~ latin(p_2,p_1,X0)
| ~ latin(p_1,p_2,X0)
| ~ greek(p_2,X1,p_2)
| ~ latin(p_2,X1,X2)
| ~ latin(p_1,p_2,X2) )
| ~ spl0_1 ),
inference(resolution,[],[f33,f25]) ).
fof(f667,plain,
( spl0_18
| spl0_8
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f666,f32,f62,f148]) ).
fof(f668,plain,
( spl0_24
| spl0_10
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f665,f32,f70,f225]) ).
fof(f669,plain,
( spl0_4
| spl0_10
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f664,f32,f70,f42]) ).
fof(f672,plain,
( ! [X0] :
( ~ latin(p_1,p_2,X0)
| ~ latin(p_2,p_2,X0)
| greek(p_2,p_1,p_2) )
| ~ spl0_18 ),
inference(resolution,[],[f149,f14]) ).
fof(f676,plain,
( spl0_26
| spl0_25
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f672,f148,f234,f281]) ).
fof(f690,plain,
( ! [X2,X0,X1] :
( ~ greek(p_1,X0,p_2)
| ~ latin(p_2,p_2,X1)
| ~ latin(p_1,X0,X1)
| ~ latin(p_1,p_2,X2)
| ~ latin(p_2,p_1,X2) )
| ~ spl0_18 ),
inference(resolution,[],[f76,f149]) ).
fof(f693,plain,
( spl0_8
| spl0_4
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f690,f148,f42,f62]) ).
fof(f710,plain,
( $false
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(resolution,[],[f164,f161]) ).
fof(f711,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f710]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f37]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f44]) ).
cnf(s28,plain,
( ~ spl0_2
| spl0_6
| ~ spl0_13 ),
inference(sat_conversion,[],[f188]) ).
cnf(s35,plain,
( ~ spl0_9
| ~ spl0_12
| spl0_19 ),
inference(sat_conversion,[],[f222]) ).
cnf(s43,plain,
( ~ spl0_4
| spl0_9
| ~ spl0_13 ),
inference(sat_conversion,[],[f259]) ).
cnf(s45,plain,
( ~ spl0_3
| spl0_9
| ~ spl0_23 ),
inference(sat_conversion,[],[f260]) ).
cnf(s49,plain,
( ~ spl0_10
| spl0_11
| spl0_19 ),
inference(sat_conversion,[],[f264]) ).
cnf(s70,plain,
( ~ spl0_1
| spl0_8
| ~ spl0_24 ),
inference(sat_conversion,[],[f320]) ).
cnf(s73,plain,
( spl0_2
| ~ spl0_26 ),
inference(sat_conversion,[],[f323]) ).
cnf(s77,plain,
( spl0_14
| ~ spl0_19
| ~ spl0_25 ),
inference(sat_conversion,[],[f325]) ).
cnf(s82,plain,
( ~ spl0_8
| spl0_11
| ~ spl0_19 ),
inference(sat_conversion,[],[f330]) ).
cnf(s84,plain,
( ~ spl0_4
| spl0_13
| spl0_25 ),
inference(sat_conversion,[],[f337]) ).
cnf(s88,plain,
( spl0_12
| spl0_19 ),
inference(sat_conversion,[],[f354]) ).
cnf(s96,plain,
( ~ spl0_4
| spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f372]) ).
cnf(s97,plain,
( ~ spl0_8
| spl0_19
| ~ spl0_25 ),
inference(sat_conversion,[],[f388]) ).
cnf(s101,plain,
( ~ spl0_8
| ~ spl0_19
| ~ spl0_25 ),
inference(sat_conversion,[],[f418]) ).
cnf(s108,plain,
( spl0_9
| ~ spl0_17
| spl0_26 ),
inference(sat_conversion,[],[f423]) ).
cnf(s118,plain,
( ~ spl0_3
| spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f440]) ).
cnf(s119,plain,
( ~ spl0_3
| spl0_10
| spl0_23 ),
inference(sat_conversion,[],[f441]) ).
cnf(s127,plain,
( spl0_9
| ~ spl0_17
| spl0_29 ),
inference(sat_conversion,[],[f478]) ).
cnf(s129,plain,
( ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f482]) ).
cnf(s130,plain,
( ~ spl0_5
| spl0_9
| spl0_24 ),
inference(sat_conversion,[],[f483]) ).
cnf(s131,plain,
( ~ spl0_9
| ~ spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f484]) ).
cnf(s160,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(sat_conversion,[],[f582]) ).
cnf(s166,plain,
( spl0_8
| ~ spl0_26
| ~ spl0_29 ),
inference(sat_conversion,[],[f586]) ).
cnf(s175,plain,
( ~ spl0_2
| spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f598]) ).
cnf(s183,plain,
( ~ spl0_6
| ~ spl0_9 ),
inference(sat_conversion,[],[f647]) ).
cnf(s198,plain,
( ~ spl0_1
| spl0_8
| spl0_18 ),
inference(sat_conversion,[],[f667]) ).
cnf(s199,plain,
( ~ spl0_1
| spl0_10
| spl0_24 ),
inference(sat_conversion,[],[f668]) ).
cnf(s200,plain,
( ~ spl0_1
| spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f669]) ).
cnf(s202,plain,
( ~ spl0_18
| spl0_25
| spl0_26 ),
inference(sat_conversion,[],[f676]) ).
cnf(s205,plain,
( spl0_4
| spl0_8
| ~ spl0_18 ),
inference(sat_conversion,[],[f693]) ).
cnf(s208,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(sat_conversion,[],[f711]) ).
cnf(s210,plain,
( ~ spl0_8
| ~ spl0_25 ),
inference(rat,[],[s97,s101]) ).
cnf(s211,plain,
( spl0_13
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s210,s175,s84]) ).
cnf(s212,plain,
( ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s183,s43,s28,s211]) ).
cnf(s213,plain,
( ~ spl0_10
| ~ spl0_8 ),
inference(rat,[],[s49,s82,s129]) ).
cnf(s214,plain,
( spl0_9
| ~ spl0_3 ),
inference(rat,[],[s213,s166,s119,s108,s127,s45,s118]) ).
cnf(s215,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(rat,[],[s35,s88,s82,s160]) ).
cnf(s216,plain,
~ spl0_2,
inference(rat,[],[s215,s175,s28,s183,s214,s2,s212]) ).
cnf(s217,plain,
~ spl0_26,
inference(rat,[],[s73,s216]) ).
cnf(s218,plain,
spl0_1,
inference(rat,[],[s1,s216]) ).
cnf(s219,plain,
~ spl0_8,
inference(rat,[],[s84,s43,s200,s215,s213,s210,s218]) ).
cnf(s220,plain,
spl0_18,
inference(rat,[],[s198,s218,s219]) ).
cnf(s221,plain,
~ spl0_24,
inference(rat,[],[s70,s218,s219]) ).
cnf(s223,plain,
spl0_25,
inference(rat,[],[s202,s217,s220]) ).
cnf(s225,plain,
spl0_4,
inference(rat,[],[s205,s219,s220]) ).
cnf(s226,plain,
spl0_10,
inference(rat,[],[s199,s218,s221]) ).
cnf(s227,plain,
spl0_9,
inference(rat,[],[s130,s96,s221,s225]) ).
cnf(s229,plain,
~ spl0_14,
inference(rat,[],[s208,s226,s227]) ).
cnf(s231,plain,
~ spl0_19,
inference(rat,[],[s77,s223,s229]) ).
cnf(s233,plain,
~ spl0_12,
inference(rat,[],[s131,s227,s229]) ).
cnf(s236,plain,
$false,
inference(rat,[],[s88,s231,s233]) ).
fof(f712,plain,
$false,
inference(avatar_sat_refutation,[],[s236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC008-1.002 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n013.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 17:39:52 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.05/1.13 % (444544)Input is clausal, will run a generic CNF schedule.
% 1.05/1.13 % (444555)dis-21_1_sil=8000:lcm=predicate:random_seed=2052164719:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 1.05/1.13 % (444555)First to succeed.
% 1.05/1.13 % (444555)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-444544"
% 1.05/1.13 % (444551)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1734033908:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.05/1.13 % (444549)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1950665995:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.05/1.13 % (444550)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2305674022:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.05/1.13 % (444554)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2301692748:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.05/1.13 % (444554)Also succeeded, but the first one will report.
% 1.05/1.13 % (444553)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2965461361:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.05/1.13 % (444552)lrs+10_1_sil=8000:sp=occurrence:random_seed=4084570526:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.05/1.13 % (444553)Also succeeded, but the first one will report.
% 1.05/1.13 % (444552)Instruction limit reached!
% 1.05/1.13 % (444552)------------------------------
% 1.05/1.13 % (444552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.05/1.13 % (444552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/1.13 % (444552)CaDiCaL version: 2.1.3
% 1.05/1.13 % (444552)Termination reason: Instruction limit
% 1.05/1.13 % (444552)Termination phase: Saturation
% 1.05/1.13 % (444552)Time elapsed: 0.067 s
% 1.05/1.13 % (444552)Peak memory usage: 88 MB
% 1.05/1.13 % (444552)Instructions burned: 107 (million)
% 1.05/1.13 % (444555)Refutation found. Thanks to Tanya!
% 1.05/1.13 % SZS status Unsatisfiable for theBenchmark
% 1.05/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 2.58/1.33 % (444555)------------------------------
% 2.58/1.33 % (444555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.33 % (444555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.33 % (444555)CaDiCaL version: 2.1.3
% 2.58/1.33 % (444555)Termination reason: Refutation
% 2.58/1.33 % (444555)Time elapsed: 0.009 s
% 2.58/1.33 % (444555)Peak memory usage: 89 MB
% 2.58/1.33 % (444555)Instructions burned: 23 (million)
% 2.58/1.33 % (444555)------------------------------
% 2.58/1.33 % (444555)------------------------------
% 2.58/1.33 % (444544)Success in time 0.276 s
% 2.58/1.33 % Vampire exiting
%------------------------------------------------------------------------------