%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP134-2.003 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 10:16:55 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 41
% Syntax : Number of formulae : 274 ( 42 unt; 25 def)
% Number of atoms : 665 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 643 ( 252 ~; 366 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 31 ( 30 usr; 26 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 73 ( 0 sgn 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_then_e_2) ).
fof(f5,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_greater_e_2) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ product(X0,e_1,X1)
| ~ next(X0,X2)
| ~ greater(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_redundancy) ).
fof(f7,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
fof(f8,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
fof(f9,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
fof(f10,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f11,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f12,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
fof(f13,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f14,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
fof(f16,axiom,
! [X0,X1] :
( ~ group_element(X0)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
fof(f17,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).
fof(f18,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f19,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f20,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ product(X1,X0,X3)
| product(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg4) ).
fof(f23,plain,
~ greater(e_3,e_2),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f24,plain,
! [X2,X0,X1] :
( product(X0,e_1,X1)
| ~ next(X0,X2)
| greater(X1,X2) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f25,plain,
~ group_element(e_1),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f26,plain,
~ group_element(e_2),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f27,plain,
~ group_element(e_3),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f28,plain,
equalish(e_1,e_2),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f29,plain,
equalish(e_1,e_3),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f30,plain,
equalish(e_2,e_1),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f31,plain,
equalish(e_2,e_3),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f32,plain,
equalish(e_3,e_1),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f34,plain,
! [X0,X1] :
( group_element(X1)
| group_element(X0)
| ~ product(X0,X1,e_1)
| ~ product(X0,X1,e_2)
| ~ product(X0,X1,e_3) ),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f35,plain,
! [X2,X3,X0,X1] :
( product(X0,X1,X3)
| product(X0,X1,X2)
| ~ equalish(X2,X3) ),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f36,plain,
! [X2,X3,X0,X1] :
( product(X0,X3,X2)
| product(X0,X1,X2)
| ~ equalish(X1,X3) ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f37,plain,
! [X2,X3,X0,X1] :
( product(X3,X1,X2)
| product(X0,X1,X2)
| ~ equalish(X0,X3) ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f38,plain,
! [X2,X3,X0,X1] :
( product(X1,X0,X3)
| product(X0,X1,X2)
| ~ product(X2,X3,X1) ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f39,plain,
! [X0] :
( group_element(X0)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[],[f34,f25]) ).
fof(f40,plain,
! [X0] :
( group_element(X0)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[],[f34,f26]) ).
fof(f41,plain,
! [X0] :
( group_element(X0)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[],[f34,f27]) ).
fof(f42,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_1,e_2)
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[],[f39,f25]) ).
fof(f43,plain,
( ~ product(e_2,e_1,e_1)
| ~ product(e_2,e_1,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[],[f39,f26]) ).
fof(f44,plain,
( ~ product(e_3,e_1,e_1)
| ~ product(e_3,e_1,e_2)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[],[f39,f27]) ).
fof(f46,definition,
( spl0_1
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f48,plain,
( ~ product(e_3,e_1,e_3)
| spl0_1 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f50,definition,
( spl0_2
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f52,plain,
( ~ product(e_3,e_1,e_2)
| spl0_2 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f54,definition,
( spl0_3
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f56,plain,
( ~ product(e_3,e_1,e_1)
| spl0_3 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f57,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f44,f54,f50,f46]) ).
fof(f59,definition,
( spl0_4
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f61,plain,
( ~ product(e_2,e_1,e_3)
| spl0_4 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f63,definition,
( spl0_5
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f65,plain,
( ~ product(e_2,e_1,e_2)
| spl0_5 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f67,definition,
( spl0_6
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f69,plain,
( ~ product(e_2,e_1,e_1)
| spl0_6 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f70,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f43,f67,f63,f59]) ).
fof(f72,definition,
( spl0_7
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f74,plain,
( ~ product(e_1,e_1,e_3)
| spl0_7 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f76,definition,
( spl0_8
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f78,plain,
( ~ product(e_1,e_1,e_2)
| spl0_8 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f80,definition,
( spl0_9
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f82,plain,
( ~ product(e_1,e_1,e_1)
| spl0_9 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f83,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f42,f80,f76,f72]) ).
fof(f85,plain,
( ! [X0] :
( product(X0,e_1,e_3)
| ~ equalish(X0,e_3) )
| spl0_1 ),
inference(resolution,[],[f48,f37]) ).
fof(f88,plain,
( ! [X0] :
( product(e_1,e_3,X0)
| ~ product(X0,e_3,e_3) )
| spl0_1 ),
inference(resolution,[],[f48,f38]) ).
fof(f90,plain,
( ! [X0] :
( product(X0,e_1,e_2)
| ~ equalish(X0,e_3) )
| spl0_2 ),
inference(resolution,[],[f52,f37]) ).
fof(f93,plain,
( ! [X0] :
( product(e_1,e_3,X0)
| ~ product(X0,e_2,e_3) )
| spl0_2 ),
inference(resolution,[],[f52,f38]) ).
fof(f102,plain,
( ! [X0] :
( product(e_2,e_1,X0)
| ~ equalish(X0,e_3) )
| spl0_4 ),
inference(resolution,[],[f61,f35]) ).
fof(f103,plain,
( ! [X0] :
( product(e_1,e_2,X0)
| ~ product(X0,e_3,e_2) )
| spl0_4 ),
inference(resolution,[],[f61,f38]) ).
fof(f108,plain,
( ! [X0] :
( product(e_1,e_2,X0)
| ~ product(X0,e_2,e_2) )
| spl0_5 ),
inference(resolution,[],[f65,f38]) ).
fof(f120,plain,
( ~ product(e_1,e_2,e_1)
| ~ product(e_1,e_2,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[],[f40,f25]) ).
fof(f122,plain,
( ~ product(e_3,e_2,e_1)
| ~ product(e_3,e_2,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[],[f40,f27]) ).
fof(f124,definition,
( spl0_10
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f126,plain,
( ~ product(e_3,e_2,e_3)
| spl0_10 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f128,definition,
( spl0_11
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f130,plain,
( ~ product(e_3,e_2,e_2)
| spl0_11 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f132,definition,
( spl0_12
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f134,plain,
( ~ product(e_3,e_2,e_1)
| spl0_12 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f135,plain,
( ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f122,f132,f128,f124]) ).
fof(f137,definition,
( spl0_13
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f139,plain,
( ~ product(e_2,e_2,e_3)
| spl0_13 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f145,definition,
( spl0_15
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f147,plain,
( ~ product(e_2,e_2,e_1)
| spl0_15 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f150,definition,
( spl0_16
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f152,plain,
( ~ product(e_1,e_2,e_3)
| spl0_16 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f154,definition,
( spl0_17
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f156,plain,
( ~ product(e_1,e_2,e_2)
| spl0_17 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f158,definition,
( spl0_18
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f160,plain,
( ~ product(e_1,e_2,e_1)
| spl0_18 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f161,plain,
( ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f120,f158,f154,f150]) ).
fof(f173,plain,
( ! [X0] :
( product(e_1,X0,e_2)
| ~ equalish(X0,e_1) )
| spl0_8 ),
inference(resolution,[],[f78,f36]) ).
fof(f192,plain,
( ! [X0] :
( product(e_2,e_3,X0)
| ~ product(X0,e_2,e_3) )
| spl0_11 ),
inference(resolution,[],[f130,f38]) ).
fof(f196,plain,
( ! [X0] :
( product(e_2,e_3,X0)
| ~ product(X0,e_1,e_3) )
| spl0_12 ),
inference(resolution,[],[f134,f38]) ).
fof(f197,plain,
( ~ product(e_1,e_3,e_1)
| ~ product(e_1,e_3,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[],[f41,f25]) ).
fof(f198,plain,
( ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_3,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[],[f41,f26]) ).
fof(f205,definition,
( spl0_20
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f207,plain,
( ~ product(e_3,e_3,e_2)
| spl0_20 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f209,definition,
( spl0_21
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f211,plain,
( ~ product(e_3,e_3,e_1)
| spl0_21 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f214,definition,
( spl0_22
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f216,plain,
( ~ product(e_2,e_3,e_3)
| spl0_22 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f218,definition,
( spl0_23
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f220,plain,
( ~ product(e_2,e_3,e_2)
| spl0_23 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f222,definition,
( spl0_24
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f224,plain,
( ~ product(e_2,e_3,e_1)
| spl0_24 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f225,plain,
( ~ spl0_22
| ~ spl0_23
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f198,f222,f218,f214]) ).
fof(f227,definition,
( spl0_25
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f229,plain,
( ~ product(e_1,e_3,e_3)
| spl0_25 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f231,definition,
( spl0_26
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f233,plain,
( ~ product(e_1,e_3,e_2)
| spl0_26 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f235,definition,
( spl0_27
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f237,plain,
( ~ product(e_1,e_3,e_1)
| spl0_27 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f238,plain,
( ~ spl0_25
| ~ spl0_26
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f197,f235,f231,f227]) ).
fof(f256,plain,
( ! [X0] :
( product(e_2,e_2,X0)
| ~ product(X0,e_1,e_2) )
| spl0_15 ),
inference(resolution,[],[f147,f38]) ).
fof(f259,plain,
( ~ product(e_1,e_1,e_2)
| spl0_15 ),
inference(resolution,[],[f256,f147]) ).
fof(f261,plain,
( ~ product(e_3,e_2,e_2)
| spl0_5
| spl0_16 ),
inference(resolution,[],[f152,f108]) ).
fof(f266,plain,
( ! [X0] :
( product(e_2,e_1,X0)
| ~ product(X0,e_3,e_1) )
| spl0_16 ),
inference(resolution,[],[f152,f38]) ).
fof(f267,plain,
( ~ product(e_3,e_3,e_1)
| spl0_4
| spl0_16 ),
inference(resolution,[],[f266,f61]) ).
fof(f272,plain,
( ~ product(e_2,e_3,e_2)
| spl0_4
| spl0_17 ),
inference(resolution,[],[f156,f103]) ).
fof(f276,plain,
( ! [X0] :
( product(e_2,e_1,X0)
| ~ product(X0,e_2,e_1) )
| spl0_17 ),
inference(resolution,[],[f156,f38]) ).
fof(f278,plain,
( ~ product(e_2,e_2,e_1)
| spl0_5
| spl0_17 ),
inference(resolution,[],[f276,f65]) ).
fof(f282,plain,
( ~ product(e_1,e_3,e_2)
| spl0_4
| spl0_18 ),
inference(resolution,[],[f160,f103]) ).
fof(f299,plain,
( ! [X0] :
( product(e_3,e_3,X0)
| ~ product(X0,e_2,e_3) )
| spl0_20 ),
inference(resolution,[],[f207,f38]) ).
fof(f301,plain,
( ~ product(e_2,e_2,e_3)
| spl0_20 ),
inference(resolution,[],[f299,f207]) ).
fof(f307,plain,
( ! [X0] :
( product(e_3,e_3,X0)
| ~ product(X0,e_1,e_3) )
| spl0_21 ),
inference(resolution,[],[f211,f38]) ).
fof(f310,plain,
( ~ product(e_1,e_1,e_3)
| spl0_21 ),
inference(resolution,[],[f307,f211]) ).
fof(f311,plain,
( ~ spl0_7
| spl0_21 ),
inference(avatar_split_clause,[],[f310,f209,f72]) ).
fof(f324,plain,
( ~ product(e_3,e_1,e_3)
| spl0_12
| spl0_22 ),
inference(resolution,[],[f216,f196]) ).
fof(f330,plain,
( ! [X0] :
( product(e_3,e_2,X0)
| ~ product(X0,e_3,e_2) )
| spl0_22 ),
inference(resolution,[],[f216,f38]) ).
fof(f331,plain,
( ~ product(e_3,e_3,e_2)
| spl0_10
| spl0_22 ),
inference(resolution,[],[f330,f126]) ).
fof(f332,plain,
( ~ product(e_2,e_3,e_2)
| spl0_11
| spl0_22 ),
inference(resolution,[],[f330,f130]) ).
fof(f335,plain,
( ~ product(e_2,e_2,e_3)
| spl0_11
| spl0_23 ),
inference(resolution,[],[f220,f192]) ).
fof(f337,plain,
( ! [X0] :
( product(X0,e_3,e_2)
| ~ equalish(X0,e_2) )
| spl0_23 ),
inference(resolution,[],[f220,f37]) ).
fof(f340,plain,
( ! [X0] :
( product(e_3,e_2,X0)
| ~ product(X0,e_2,e_2) )
| spl0_23 ),
inference(resolution,[],[f220,f38]) ).
fof(f341,plain,
( ~ product(e_3,e_2,e_2)
| spl0_10
| spl0_23 ),
inference(resolution,[],[f340,f126]) ).
fof(f347,plain,
( ~ spl0_11
| spl0_5
| spl0_16 ),
inference(avatar_split_clause,[],[f261,f150,f63,f128]) ).
fof(f348,plain,
( ~ spl0_11
| spl0_10
| spl0_23 ),
inference(avatar_split_clause,[],[f341,f218,f124,f128]) ).
fof(f350,plain,
( ~ spl0_21
| spl0_4
| spl0_16 ),
inference(avatar_split_clause,[],[f267,f150,f59,f209]) ).
fof(f355,plain,
( ! [X0] :
( product(e_1,e_3,X0)
| ~ product(X0,e_1,e_3) )
| spl0_3 ),
inference(resolution,[],[f56,f38]) ).
fof(f377,plain,
( ! [X0] :
( product(e_2,e_3,X0)
| ~ product(X0,e_1,e_3) )
| spl0_12 ),
inference(resolution,[],[f134,f38]) ).
fof(f405,plain,
( ! [X0] :
( product(e_2,e_1,X0)
| ~ product(X0,e_1,e_1) )
| spl0_18 ),
inference(resolution,[],[f160,f38]) ).
fof(f407,plain,
( ~ product(e_2,e_1,e_1)
| spl0_5
| spl0_18 ),
inference(resolution,[],[f405,f65]) ).
fof(f409,plain,
( ~ product(e_1,e_1,e_3)
| spl0_12
| spl0_24 ),
inference(resolution,[],[f224,f377]) ).
fof(f417,plain,
( ~ spl0_7
| spl0_12
| spl0_24 ),
inference(avatar_split_clause,[],[f409,f222,f132,f72]) ).
fof(f418,plain,
( ~ product(e_3,e_1,e_3)
| spl0_3
| spl0_25 ),
inference(resolution,[],[f229,f355]) ).
fof(f419,plain,
( ~ product(e_3,e_2,e_3)
| spl0_2
| spl0_25 ),
inference(resolution,[],[f229,f93]) ).
fof(f424,plain,
( ! [X0] :
( product(e_3,e_1,X0)
| ~ product(X0,e_3,e_1) )
| spl0_25 ),
inference(resolution,[],[f229,f38]) ).
fof(f425,plain,
( ~ product(e_2,e_1,e_3)
| spl0_3
| spl0_26 ),
inference(resolution,[],[f233,f355]) ).
fof(f427,plain,
( ~ product(e_2,e_3,e_3)
| spl0_1
| spl0_26 ),
inference(resolution,[],[f233,f88]) ).
fof(f431,plain,
( ! [X0] :
( product(e_3,e_1,X0)
| ~ product(X0,e_2,e_1) )
| spl0_26 ),
inference(resolution,[],[f233,f38]) ).
fof(f432,plain,
( ~ product(e_3,e_3,e_1)
| spl0_1
| spl0_25 ),
inference(resolution,[],[f424,f48]) ).
fof(f436,plain,
( ~ spl0_21
| spl0_1
| spl0_25 ),
inference(avatar_split_clause,[],[f432,f227,f46,f209]) ).
fof(f438,plain,
( ~ product(e_2,e_2,e_1)
| spl0_2
| spl0_26 ),
inference(resolution,[],[f431,f52]) ).
fof(f439,plain,
( ~ product(e_1,e_2,e_1)
| spl0_3
| spl0_26 ),
inference(resolution,[],[f431,f56]) ).
fof(f440,plain,
( ~ product(e_1,e_1,e_3)
| spl0_3
| spl0_27 ),
inference(resolution,[],[f237,f355]) ).
fof(f441,plain,
( ~ product(e_1,e_2,e_3)
| spl0_2
| spl0_27 ),
inference(resolution,[],[f237,f93]) ).
fof(f442,plain,
( ~ product(e_1,e_3,e_3)
| spl0_1
| spl0_27 ),
inference(resolution,[],[f237,f88]) ).
fof(f447,plain,
( ~ spl0_25
| spl0_1
| spl0_27 ),
inference(avatar_split_clause,[],[f442,f235,f46,f227]) ).
fof(f448,plain,
( ~ spl0_16
| spl0_2
| spl0_27 ),
inference(avatar_split_clause,[],[f441,f235,f50,f150]) ).
fof(f449,plain,
( ~ spl0_7
| spl0_3
| spl0_27 ),
inference(avatar_split_clause,[],[f440,f235,f54,f72]) ).
fof(f458,plain,
( ~ equalish(e_2,e_3)
| spl0_1
| spl0_4 ),
inference(resolution,[],[f85,f61]) ).
fof(f459,plain,
( $false
| spl0_1
| spl0_4 ),
inference(resolution,[],[f458,f31]) ).
fof(f460,plain,
( spl0_1
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f459]) ).
fof(f461,plain,
( ~ spl0_1
| spl0_12
| spl0_22 ),
inference(avatar_split_clause,[],[f324,f214,f132,f46]) ).
fof(f465,plain,
( ~ equalish(e_2,e_3)
| spl0_2
| spl0_5 ),
inference(resolution,[],[f90,f65]) ).
fof(f466,plain,
( ~ equalish(e_1,e_3)
| spl0_2
| spl0_8 ),
inference(resolution,[],[f90,f78]) ).
fof(f467,plain,
( $false
| spl0_2
| spl0_5 ),
inference(resolution,[],[f465,f31]) ).
fof(f468,plain,
( spl0_2
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f467]) ).
fof(f472,plain,
( ~ spl0_13
| spl0_20 ),
inference(avatar_split_clause,[],[f301,f205,f137]) ).
fof(f473,plain,
( ~ spl0_13
| spl0_11
| spl0_23 ),
inference(avatar_split_clause,[],[f335,f218,f128,f137]) ).
fof(f475,plain,
( ~ spl0_15
| spl0_5
| spl0_17 ),
inference(avatar_split_clause,[],[f278,f154,f63,f145]) ).
fof(f501,plain,
( ~ equalish(e_1,e_3)
| spl0_4
| spl0_6 ),
inference(resolution,[],[f102,f69]) ).
fof(f503,plain,
( $false
| spl0_4
| spl0_6 ),
inference(resolution,[],[f501,f29]) ).
fof(f504,plain,
( spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f503]) ).
fof(f506,plain,
( ~ spl0_4
| spl0_3
| spl0_26 ),
inference(avatar_split_clause,[],[f425,f231,f54,f59]) ).
fof(f508,plain,
( ~ spl0_6
| spl0_5
| spl0_18 ),
inference(avatar_split_clause,[],[f407,f158,f63,f67]) ).
fof(f523,plain,
( ~ equalish(e_3,e_1)
| spl0_8
| spl0_26 ),
inference(resolution,[],[f173,f233]) ).
fof(f526,plain,
( ~ spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f259,f145,f76]) ).
fof(f538,plain,
( ~ equalish(e_1,e_2)
| spl0_23
| spl0_26 ),
inference(resolution,[],[f337,f233]) ).
fof(f540,plain,
( $false
| spl0_23
| spl0_26 ),
inference(resolution,[],[f538,f28]) ).
fof(f541,plain,
( spl0_23
| spl0_26 ),
inference(avatar_contradiction_clause,[],[f540]) ).
fof(f542,plain,
( ~ spl0_1
| spl0_3
| spl0_25 ),
inference(avatar_split_clause,[],[f418,f227,f54,f46]) ).
fof(f544,plain,
( ~ spl0_26
| spl0_4
| spl0_18 ),
inference(avatar_split_clause,[],[f282,f158,f59,f231]) ).
fof(f545,plain,
( ~ spl0_10
| spl0_2
| spl0_25 ),
inference(avatar_split_clause,[],[f419,f227,f50,f124]) ).
fof(f582,plain,
( ! [X0] :
( product(e_3,e_2,X0)
| ~ product(X0,e_1,e_2) )
| spl0_24 ),
inference(resolution,[],[f224,f38]) ).
fof(f583,plain,
( ~ product(e_3,e_1,e_2)
| spl0_10
| spl0_24 ),
inference(resolution,[],[f582,f126]) ).
fof(f590,plain,
( $false
| spl0_2
| spl0_8 ),
inference(resolution,[],[f466,f29]) ).
fof(f591,plain,
( spl0_2
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f590]) ).
fof(f592,plain,
( ~ spl0_22
| spl0_1
| spl0_26 ),
inference(avatar_split_clause,[],[f427,f231,f46,f214]) ).
fof(f595,plain,
( ~ spl0_2
| spl0_10
| spl0_24 ),
inference(avatar_split_clause,[],[f583,f222,f124,f50]) ).
fof(f596,plain,
( ~ spl0_20
| spl0_10
| spl0_22 ),
inference(avatar_split_clause,[],[f331,f214,f124,f205]) ).
fof(f618,plain,
( $false
| spl0_8
| spl0_26 ),
inference(resolution,[],[f523,f32]) ).
fof(f619,plain,
( spl0_8
| spl0_26 ),
inference(avatar_contradiction_clause,[],[f618]) ).
fof(f620,plain,
( ~ spl0_23
| spl0_4
| spl0_17 ),
inference(avatar_split_clause,[],[f272,f154,f59,f218]) ).
fof(f623,plain,
( ~ spl0_23
| spl0_11
| spl0_22 ),
inference(avatar_split_clause,[],[f332,f214,f128,f218]) ).
fof(f635,plain,
( ! [X0] :
( product(e_2,X0,e_3)
| ~ equalish(X0,e_1) )
| spl0_4 ),
inference(resolution,[],[f61,f36]) ).
fof(f639,plain,
( ! [X0] :
( greater(e_3,X0)
| ~ next(e_1,X0) )
| spl0_7 ),
inference(resolution,[],[f74,f24]) ).
fof(f682,plain,
( ! [X0] :
( product(e_3,e_2,X0)
| ~ product(X0,e_1,e_2) )
| spl0_24 ),
inference(resolution,[],[f224,f38]) ).
fof(f684,plain,
( ~ product(e_2,e_1,e_2)
| spl0_11
| spl0_24 ),
inference(resolution,[],[f682,f130]) ).
fof(f685,plain,
( ~ spl0_5
| spl0_11
| spl0_24 ),
inference(avatar_split_clause,[],[f684,f222,f128,f63]) ).
fof(f696,plain,
( ~ next(e_1,e_2)
| spl0_7 ),
inference(resolution,[],[f639,f23]) ).
fof(f697,plain,
( $false
| spl0_7 ),
inference(resolution,[],[f696,f1]) ).
fof(f698,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f697]) ).
fof(f699,plain,
( ~ spl0_18
| spl0_3
| spl0_26 ),
inference(avatar_split_clause,[],[f439,f231,f54,f158]) ).
fof(f700,plain,
( ~ spl0_15
| spl0_2
| spl0_26 ),
inference(avatar_split_clause,[],[f438,f231,f50,f145]) ).
fof(f707,plain,
( ! [X0] :
( product(X0,e_1,e_1)
| ~ equalish(X0,e_1) )
| spl0_9 ),
inference(resolution,[],[f82,f37]) ).
fof(f739,plain,
( ~ equalish(e_2,e_1)
| spl0_4
| spl0_13 ),
inference(resolution,[],[f635,f139]) ).
fof(f742,plain,
( $false
| spl0_4
| spl0_13 ),
inference(resolution,[],[f739,f30]) ).
fof(f743,plain,
( spl0_4
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f742]) ).
fof(f810,plain,
( ~ equalish(e_2,e_1)
| spl0_6
| spl0_9 ),
inference(resolution,[],[f707,f69]) ).
fof(f811,plain,
( $false
| spl0_6
| spl0_9 ),
inference(resolution,[],[f810,f30]) ).
fof(f812,plain,
( spl0_6
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f811]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f57]) ).
cnf(s2,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f70]) ).
cnf(s3,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f83]) ).
cnf(s4,plain,
( ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f135]) ).
cnf(s6,plain,
( ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f161]) ).
cnf(s9,plain,
( ~ spl0_22
| ~ spl0_23
| ~ spl0_24 ),
inference(sat_conversion,[],[f225]) ).
cnf(s10,plain,
( ~ spl0_25
| ~ spl0_26
| ~ spl0_27 ),
inference(sat_conversion,[],[f238]) ).
cnf(s11,plain,
( ~ spl0_7
| spl0_21 ),
inference(sat_conversion,[],[f311]) ).
cnf(s19,plain,
( spl0_5
| ~ spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f347]) ).
cnf(s20,plain,
( spl0_10
| ~ spl0_11
| spl0_23 ),
inference(sat_conversion,[],[f348]) ).
cnf(s26,plain,
( spl0_4
| spl0_16
| ~ spl0_21 ),
inference(sat_conversion,[],[f350]) ).
cnf(s28,plain,
( ~ spl0_7
| spl0_12
| spl0_24 ),
inference(sat_conversion,[],[f417]) ).
cnf(s30,plain,
( spl0_1
| ~ spl0_21
| spl0_25 ),
inference(sat_conversion,[],[f436]) ).
cnf(s31,plain,
( spl0_1
| ~ spl0_25
| spl0_27 ),
inference(sat_conversion,[],[f447]) ).
cnf(s32,plain,
( spl0_2
| ~ spl0_16
| spl0_27 ),
inference(sat_conversion,[],[f448]) ).
cnf(s33,plain,
( spl0_3
| ~ spl0_7
| spl0_27 ),
inference(sat_conversion,[],[f449]) ).
cnf(s34,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f460]) ).
cnf(s35,plain,
( ~ spl0_1
| spl0_12
| spl0_22 ),
inference(sat_conversion,[],[f461]) ).
cnf(s39,plain,
( spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f468]) ).
cnf(s45,plain,
( ~ spl0_13
| spl0_20 ),
inference(sat_conversion,[],[f472]) ).
cnf(s46,plain,
( spl0_11
| ~ spl0_13
| spl0_23 ),
inference(sat_conversion,[],[f473]) ).
cnf(s49,plain,
( spl0_5
| ~ spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f475]) ).
cnf(s51,plain,
( spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f504]) ).
cnf(s54,plain,
( spl0_3
| ~ spl0_4
| spl0_26 ),
inference(sat_conversion,[],[f506]) ).
cnf(s57,plain,
( spl0_5
| ~ spl0_6
| spl0_18 ),
inference(sat_conversion,[],[f508]) ).
cnf(s61,plain,
( ~ spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f526]) ).
cnf(s63,plain,
( spl0_23
| spl0_26 ),
inference(sat_conversion,[],[f541]) ).
cnf(s64,plain,
( ~ spl0_1
| spl0_3
| spl0_25 ),
inference(sat_conversion,[],[f542]) ).
cnf(s66,plain,
( spl0_4
| spl0_18
| ~ spl0_26 ),
inference(sat_conversion,[],[f544]) ).
cnf(s69,plain,
( spl0_2
| ~ spl0_10
| spl0_25 ),
inference(sat_conversion,[],[f545]) ).
cnf(s79,plain,
( spl0_2
| spl0_8 ),
inference(sat_conversion,[],[f591]) ).
cnf(s80,plain,
( spl0_1
| ~ spl0_22
| spl0_26 ),
inference(sat_conversion,[],[f592]) ).
cnf(s84,plain,
( ~ spl0_2
| spl0_10
| spl0_24 ),
inference(sat_conversion,[],[f595]) ).
cnf(s85,plain,
( spl0_10
| ~ spl0_20
| spl0_22 ),
inference(sat_conversion,[],[f596]) ).
cnf(s86,plain,
( spl0_8
| spl0_26 ),
inference(sat_conversion,[],[f619]) ).
cnf(s91,plain,
( spl0_4
| spl0_17
| ~ spl0_23 ),
inference(sat_conversion,[],[f620]) ).
cnf(s103,plain,
( spl0_11
| spl0_22
| ~ spl0_23 ),
inference(sat_conversion,[],[f623]) ).
cnf(s116,plain,
( ~ spl0_5
| spl0_11
| spl0_24 ),
inference(sat_conversion,[],[f685]) ).
cnf(s117,plain,
spl0_7,
inference(sat_conversion,[],[f698]) ).
cnf(s118,plain,
( spl0_3
| ~ spl0_18
| spl0_26 ),
inference(sat_conversion,[],[f699]) ).
cnf(s123,plain,
( spl0_2
| ~ spl0_15
| spl0_26 ),
inference(sat_conversion,[],[f700]) ).
cnf(s124,plain,
( spl0_4
| spl0_13 ),
inference(sat_conversion,[],[f743]) ).
cnf(s135,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f812]) ).
cnf(s136,plain,
( spl0_3
| spl0_27 ),
inference(rat,[],[s33,s117]) ).
cnf(s137,plain,
( spl0_12
| spl0_24 ),
inference(rat,[],[s28,s117]) ).
cnf(s138,plain,
spl0_21,
inference(rat,[],[s11,s117]) ).
cnf(s140,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(rat,[],[s3,s117]) ).
cnf(s141,plain,
spl0_1,
inference(rat,[],[s6,s19,s49,s57,s2,s135,s103,s140,s61,s80,s63,s86,s10,s31,s30,s34,s138]) ).
cnf(s142,plain,
spl0_2,
inference(rat,[],[s46,s20,s69,s91,s10,s6,s32,s26,s66,s124,s2,s135,s123,s140,s61,s39,s79,s138]) ).
cnf(s143,plain,
~ spl0_3,
inference(rat,[],[s1,s141,s142]) ).
cnf(s144,plain,
spl0_25,
inference(rat,[],[s64,s141,s143]) ).
cnf(s145,plain,
spl0_27,
inference(rat,[],[s136,s143]) ).
cnf(s146,plain,
~ spl0_26,
inference(rat,[],[s10,s144,s145]) ).
cnf(s148,plain,
spl0_23,
inference(rat,[],[s63,s146]) ).
cnf(s149,plain,
~ spl0_4,
inference(rat,[],[s54,s143,s146]) ).
cnf(s150,plain,
~ spl0_18,
inference(rat,[],[s118,s143,s146]) ).
cnf(s154,plain,
spl0_13,
inference(rat,[],[s124,s149]) ).
cnf(s155,plain,
spl0_6,
inference(rat,[],[s51,s149]) ).
cnf(s157,plain,
spl0_5,
inference(rat,[],[s57,s155,s150]) ).
cnf(s158,plain,
spl0_20,
inference(rat,[],[s45,s154]) ).
cnf(s161,plain,
spl0_10,
inference(rat,[],[s9,s85,s84,s148,s158,s142]) ).
cnf(s162,plain,
spl0_11,
inference(rat,[],[s9,s103,s116,s148,s157]) ).
cnf(s163,plain,
~ spl0_12,
inference(rat,[],[s4,s161,s162]) ).
cnf(s164,plain,
spl0_22,
inference(rat,[],[s35,s141,s163]) ).
cnf(s165,plain,
spl0_24,
inference(rat,[],[s137,s163]) ).
cnf(s166,plain,
$false,
inference(rat,[],[s9,s148,s165,s164]) ).
fof(f813,plain,
$false,
inference(avatar_sat_refutation,[],[s166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP134-2.003 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n018.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 09:33:39 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.45 % (2073709)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (2073723)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=461128203:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.10/0.45 % (2073718)% WARNING: option uhcvi not known.
% 0.10/0.45 % (2073719)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3397297784:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.10/0.45 % (2073717)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1592641296_3000 on theBenchmark for (3000ds/0Mi)
% 0.10/0.45 % (2073718)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2366483162:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.10/0.45 % (2073720)dis+10_1_sil=32000:sp=arity:random_seed=3204136012:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.10/0.45 % (2073721)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4117400358:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.10/0.45 % (2073722)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1383739565:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.10/0.45 % (2073723) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2073709-2073723"...
% 0.10/0.45 % Detected minimum model sizes of [1]
% 0.10/0.45 % Detected maximum model sizes of [3]
% 0.10/0.45 % TRYING [1]
% 0.10/0.45 % TRYING [2]
% 0.10/0.45 % TRYING [3]
% 0.10/0.45 % (2073723)...printing done.
% 0.10/0.45 % (2073717) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2073709-2073717"...
% 0.10/0.45 % (2073723)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45 % (2073723)------------------------------
% 0.10/0.45 % (2073723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (2073723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (2073723)CaDiCaL version: 2.1.3
% 0.10/0.45 % (2073723)Termination reason: Refutation
% 0.10/0.45 % (2073723)Time elapsed: 0.009 s
% 0.10/0.45 % (2073723)Peak memory usage: 12 MB
% 0.10/0.45 % (2073723)Instructions burned: 25 (million)
% 0.10/0.45 % (2073709)Success in time 0.024 s
% 0.10/0.45 % Vampire exiting
%------------------------------------------------------------------------------