%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP129-1.003 : 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 : n015.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 10:16:51 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.45s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 38
% Syntax : Number of formulae : 288 ( 25 unt; 27 def)
% Number of atoms : 753 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 849 ( 384 ~; 438 |; 0 &)
% ( 27 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 31 ( 30 usr; 28 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 38 ( 0 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
fof(f3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
fof(f4,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f5,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f6,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
fof(f7,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f8,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
fof(f10,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(f13,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(f14,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ product(X1,X2,X3)
| product(X2,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3) ).
fof(f15,plain,
! [X0] :
( ~ group_element(X0)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3) ),
inference(resolution,[],[f10,f1]) ).
fof(f16,plain,
! [X0] :
( ~ group_element(X0)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3) ),
inference(resolution,[],[f10,f2]) ).
fof(f17,plain,
! [X0] :
( ~ group_element(X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3) ),
inference(resolution,[],[f10,f3]) ).
fof(f18,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(resolution,[],[f15,f1]) ).
fof(f19,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(resolution,[],[f15,f2]) ).
fof(f20,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(resolution,[],[f15,f3]) ).
fof(f22,definition,
( spl0_1
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f24,plain,
( product(e_1,e_3,e_3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f26,definition,
( spl0_2
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f28,plain,
( product(e_1,e_3,e_2)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f30,definition,
( spl0_3
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f31,plain,
( ~ product(e_1,e_3,e_1)
| spl0_3 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f32,plain,
( product(e_1,e_3,e_1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f33,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f20,f30,f26,f22]) ).
fof(f35,definition,
( spl0_4
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f36,plain,
( ~ product(e_1,e_2,e_3)
| spl0_4 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f37,plain,
( product(e_1,e_2,e_3)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f39,definition,
( spl0_5
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f40,plain,
( ~ product(e_1,e_2,e_2)
| spl0_5 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f41,plain,
( product(e_1,e_2,e_2)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f43,definition,
( spl0_6
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f44,plain,
( ~ product(e_1,e_2,e_1)
| spl0_6 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f45,plain,
( product(e_1,e_2,e_1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f46,plain,
( spl0_4
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f19,f43,f39,f35]) ).
fof(f48,definition,
( spl0_7
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f49,plain,
( ~ product(e_1,e_1,e_3)
| spl0_7 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f50,plain,
( product(e_1,e_1,e_3)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f52,definition,
( spl0_8
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f53,plain,
( ~ product(e_1,e_1,e_2)
| spl0_8 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f54,plain,
( product(e_1,e_1,e_2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f56,definition,
( spl0_9
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f57,plain,
( ~ product(e_1,e_1,e_1)
| spl0_9 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f58,plain,
( product(e_1,e_1,e_1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f59,plain,
( spl0_7
| spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f18,f56,f52,f48]) ).
fof(f60,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(resolution,[],[f16,f1]) ).
fof(f61,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(resolution,[],[f16,f2]) ).
fof(f62,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(resolution,[],[f16,f3]) ).
fof(f64,definition,
( spl0_10
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f65,plain,
( ~ product(e_2,e_3,e_3)
| spl0_10 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f66,plain,
( product(e_2,e_3,e_3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f68,definition,
( spl0_11
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f69,plain,
( ~ product(e_2,e_3,e_2)
| spl0_11 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f70,plain,
( product(e_2,e_3,e_2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f72,definition,
( spl0_12
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f74,plain,
( product(e_2,e_3,e_1)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f75,plain,
( spl0_10
| spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f62,f72,f68,f64]) ).
fof(f77,definition,
( spl0_13
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f79,plain,
( product(e_2,e_2,e_3)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f81,definition,
( spl0_14
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f82,plain,
( ~ product(e_2,e_2,e_2)
| spl0_14 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f83,plain,
( product(e_2,e_2,e_2)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f85,definition,
( spl0_15
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f87,plain,
( product(e_2,e_2,e_1)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,plain,
( spl0_13
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f61,f85,f81,f77]) ).
fof(f90,definition,
( spl0_16
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f92,plain,
( product(e_2,e_1,e_3)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f94,definition,
( spl0_17
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f95,plain,
( ~ product(e_2,e_1,e_2)
| spl0_17 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f96,plain,
( product(e_2,e_1,e_2)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f98,definition,
( spl0_18
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f99,plain,
( ~ product(e_2,e_1,e_1)
| spl0_18 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f100,plain,
( product(e_2,e_1,e_1)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f101,plain,
( spl0_16
| spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f60,f98,f94,f90]) ).
fof(f102,plain,
( ! [X0] :
( ~ product(X0,e_3,e_2)
| equalish(e_1,X0) )
| ~ spl0_2 ),
inference(resolution,[],[f28,f13]) ).
fof(f106,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(resolution,[],[f17,f1]) ).
fof(f107,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(resolution,[],[f17,f2]) ).
fof(f108,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(resolution,[],[f17,f3]) ).
fof(f110,definition,
( spl0_19
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f111,plain,
( ~ product(e_3,e_3,e_3)
| spl0_19 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f112,plain,
( product(e_3,e_3,e_3)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f114,definition,
( spl0_20
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f116,plain,
( product(e_3,e_3,e_2)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f118,definition,
( spl0_21
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f120,plain,
( product(e_3,e_3,e_1)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f121,plain,
( spl0_19
| spl0_20
| spl0_21 ),
inference(avatar_split_clause,[],[f108,f118,f114,f110]) ).
fof(f123,definition,
( spl0_22
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f125,plain,
( product(e_3,e_2,e_3)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f127,definition,
( spl0_23
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f128,plain,
( ~ product(e_3,e_2,e_2)
| spl0_23 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f129,plain,
( product(e_3,e_2,e_2)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f131,definition,
( spl0_24
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f133,plain,
( product(e_3,e_2,e_1)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f134,plain,
( spl0_22
| spl0_23
| spl0_24 ),
inference(avatar_split_clause,[],[f107,f131,f127,f123]) ).
fof(f136,definition,
( spl0_25
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f137,plain,
( ~ product(e_3,e_1,e_3)
| spl0_25 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f138,plain,
( product(e_3,e_1,e_3)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f140,definition,
( spl0_26
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f142,plain,
( product(e_3,e_1,e_2)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f144,definition,
( spl0_27
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f146,plain,
( product(e_3,e_1,e_1)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f147,plain,
( spl0_25
| spl0_26
| spl0_27 ),
inference(avatar_split_clause,[],[f106,f144,f140,f136]) ).
fof(f151,plain,
( ! [X0] :
( ~ product(e_2,e_3,X0)
| product(e_3,e_1,X0) )
| ~ spl0_4 ),
inference(resolution,[],[f37,f14]) ).
fof(f155,plain,
( ! [X0] :
( ~ product(e_1,e_3,X0)
| product(e_3,e_1,X0) )
| ~ spl0_7 ),
inference(resolution,[],[f50,f14]) ).
fof(f156,plain,
( product(e_3,e_1,e_2)
| ~ spl0_2
| ~ spl0_7 ),
inference(resolution,[],[f155,f28]) ).
fof(f157,plain,
( spl0_26
| ~ spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f156,f48,f26,f140]) ).
fof(f162,plain,
( product(e_3,e_1,e_3)
| ~ spl0_4
| ~ spl0_10 ),
inference(resolution,[],[f66,f151]) ).
fof(f178,plain,
( ! [X0] :
( ~ product(X0,e_3,e_3)
| equalish(e_3,X0) )
| ~ spl0_19 ),
inference(resolution,[],[f112,f13]) ).
fof(f186,plain,
( ! [X0] :
( ~ product(X0,e_1,e_1)
| equalish(e_1,X0) )
| ~ spl0_9 ),
inference(resolution,[],[f58,f13]) ).
fof(f190,plain,
( ! [X0] :
( ~ product(X0,e_1,e_2)
| equalish(e_2,X0) )
| ~ spl0_17 ),
inference(resolution,[],[f96,f13]) ).
fof(f218,plain,
( ! [X0] :
( ~ product(e_2,e_2,X0)
| product(e_2,e_1,X0) )
| ~ spl0_5 ),
inference(resolution,[],[f41,f14]) ).
fof(f219,plain,
( product(e_2,e_1,e_2)
| ~ spl0_5
| ~ spl0_14 ),
inference(resolution,[],[f83,f218]) ).
fof(f233,plain,
( ! [X0] :
( ~ product(e_1,e_3,X0)
| product(e_3,e_3,X0) )
| ~ spl0_25 ),
inference(resolution,[],[f138,f14]) ).
fof(f240,plain,
( ! [X0] :
( ~ product(e_3,e_2,X0)
| product(e_2,e_2,X0) )
| ~ spl0_11 ),
inference(resolution,[],[f70,f14]) ).
fof(f241,plain,
( product(e_3,e_3,e_2)
| ~ spl0_2
| ~ spl0_25 ),
inference(resolution,[],[f233,f28]) ).
fof(f242,plain,
( spl0_20
| ~ spl0_2
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f241,f136,f26,f114]) ).
fof(f243,plain,
( product(e_2,e_2,e_2)
| ~ spl0_11
| ~ spl0_23 ),
inference(resolution,[],[f240,f129]) ).
fof(f247,plain,
( ! [X0] :
( ~ product(e_3,e_2,X0)
| product(e_2,e_3,X0) )
| ~ spl0_20 ),
inference(resolution,[],[f116,f14]) ).
fof(f250,plain,
( equalish(e_1,e_2)
| ~ spl0_2
| ~ spl0_11 ),
inference(resolution,[],[f102,f70]) ).
fof(f251,plain,
( equalish(e_1,e_3)
| ~ spl0_2
| ~ spl0_20 ),
inference(resolution,[],[f102,f116]) ).
fof(f252,plain,
( $false
| ~ spl0_2
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f251,f5]) ).
fof(f253,plain,
( ~ spl0_2
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f252]) ).
fof(f254,plain,
( $false
| ~ spl0_2
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f250,f4]) ).
fof(f255,plain,
( ~ spl0_2
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f254]) ).
fof(f260,plain,
( ! [X0] :
( ~ product(e_3,e_1,X0)
| product(e_1,e_1,X0) )
| ~ spl0_3 ),
inference(resolution,[],[f32,f14]) ).
fof(f262,plain,
( product(e_1,e_1,e_3)
| ~ spl0_3
| ~ spl0_25 ),
inference(resolution,[],[f260,f138]) ).
fof(f263,plain,
( $false
| ~ spl0_3
| spl0_7
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f262,f49]) ).
fof(f264,plain,
( ~ spl0_3
| spl0_7
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f263]) ).
fof(f268,plain,
( ! [X0] :
( ~ product(e_1,e_3,X0)
| product(e_3,e_1,X0) )
| ~ spl0_7 ),
inference(resolution,[],[f50,f14]) ).
fof(f269,plain,
( product(e_3,e_1,e_1)
| ~ spl0_3
| ~ spl0_7 ),
inference(resolution,[],[f268,f32]) ).
fof(f270,plain,
( spl0_27
| ~ spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f269,f48,f30,f144]) ).
fof(f271,plain,
( product(e_3,e_1,e_3)
| ~ spl0_1
| ~ spl0_7 ),
inference(resolution,[],[f24,f268]) ).
fof(f272,plain,
( product(e_3,e_3,e_3)
| ~ spl0_1
| ~ spl0_25 ),
inference(resolution,[],[f24,f233]) ).
fof(f276,plain,
( ! [X0] :
( ~ product(e_3,e_3,X0)
| product(e_3,e_1,X0) )
| ~ spl0_1 ),
inference(resolution,[],[f24,f14]) ).
fof(f278,plain,
( product(e_3,e_1,e_2)
| ~ spl0_1
| ~ spl0_20 ),
inference(resolution,[],[f276,f116]) ).
fof(f279,plain,
( spl0_26
| ~ spl0_1
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f278,f114,f22,f140]) ).
fof(f280,plain,
( product(e_3,e_1,e_1)
| ~ spl0_1
| ~ spl0_21 ),
inference(resolution,[],[f120,f276]) ).
fof(f285,plain,
( spl0_27
| ~ spl0_1
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f280,f118,f22,f144]) ).
fof(f289,plain,
( ! [X0] :
( ~ product(e_1,e_2,X0)
| product(e_2,e_3,X0) )
| ~ spl0_26 ),
inference(resolution,[],[f142,f14]) ).
fof(f290,plain,
( product(e_2,e_3,e_2)
| ~ spl0_5
| ~ spl0_26 ),
inference(resolution,[],[f289,f41]) ).
fof(f291,plain,
( equalish(e_3,e_1)
| ~ spl0_1
| ~ spl0_19 ),
inference(resolution,[],[f178,f24]) ).
fof(f293,plain,
( $false
| ~ spl0_1
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f291,f8]) ).
fof(f294,plain,
( ~ spl0_1
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f293]) ).
fof(f295,plain,
( $false
| ~ spl0_1
| spl0_19
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f272,f111]) ).
fof(f296,plain,
( ~ spl0_1
| spl0_19
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f295]) ).
fof(f302,plain,
( ! [X0] :
( ~ product(e_3,e_1,X0)
| product(e_1,e_1,X0) )
| ~ spl0_3 ),
inference(resolution,[],[f32,f14]) ).
fof(f304,plain,
( product(e_1,e_1,e_2)
| ~ spl0_3
| ~ spl0_26 ),
inference(resolution,[],[f302,f142]) ).
fof(f305,plain,
( $false
| ~ spl0_3
| spl0_8
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f304,f53]) ).
fof(f306,plain,
( ~ spl0_3
| spl0_8
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f305]) ).
fof(f314,plain,
( product(e_1,e_1,e_1)
| ~ spl0_3
| ~ spl0_27 ),
inference(resolution,[],[f146,f302]) ).
fof(f324,plain,
( equalish(e_1,e_3)
| ~ spl0_9
| ~ spl0_27 ),
inference(resolution,[],[f186,f146]) ).
fof(f325,plain,
( $false
| ~ spl0_9
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f324,f5]) ).
fof(f326,plain,
( ~ spl0_9
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f325]) ).
fof(f327,plain,
( $false
| ~ spl0_3
| spl0_9
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f314,f57]) ).
fof(f328,plain,
( ~ spl0_3
| spl0_9
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f327]) ).
fof(f332,plain,
( ! [X0] :
( ~ product(e_1,e_2,X0)
| product(e_2,e_1,X0) )
| ~ spl0_8 ),
inference(resolution,[],[f54,f14]) ).
fof(f333,plain,
( product(e_2,e_1,e_2)
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f332,f41]) ).
fof(f338,plain,
( ! [X0] :
( ~ product(e_1,e_2,X0)
| product(e_2,e_3,X0) )
| ~ spl0_26 ),
inference(resolution,[],[f142,f14]) ).
fof(f340,plain,
( equalish(e_2,e_1)
| ~ spl0_8
| ~ spl0_17 ),
inference(resolution,[],[f190,f54]) ).
fof(f342,plain,
( equalish(e_2,e_3)
| ~ spl0_17
| ~ spl0_26 ),
inference(resolution,[],[f190,f142]) ).
fof(f343,plain,
( $false
| ~ spl0_17
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f342,f7]) ).
fof(f344,plain,
( ~ spl0_17
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f343]) ).
fof(f345,plain,
( $false
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f340,f6]) ).
fof(f346,plain,
( ~ spl0_8
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f345]) ).
fof(f347,plain,
( $false
| ~ spl0_5
| ~ spl0_14
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f219,f95]) ).
fof(f348,plain,
( ~ spl0_5
| ~ spl0_14
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f347]) ).
fof(f349,plain,
( $false
| ~ spl0_5
| ~ spl0_8
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f333,f95]) ).
fof(f350,plain,
( ~ spl0_5
| ~ spl0_8
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f349]) ).
fof(f351,plain,
( product(e_2,e_3,e_1)
| ~ spl0_6
| ~ spl0_26 ),
inference(resolution,[],[f45,f338]) ).
fof(f352,plain,
( product(e_2,e_1,e_1)
| ~ spl0_6
| ~ spl0_8 ),
inference(resolution,[],[f45,f332]) ).
fof(f362,plain,
( ! [X0] :
( ~ product(e_3,e_1,X0)
| product(e_1,e_2,X0) )
| ~ spl0_12 ),
inference(resolution,[],[f74,f14]) ).
fof(f363,plain,
( product(e_1,e_2,e_2)
| ~ spl0_12
| ~ spl0_26 ),
inference(resolution,[],[f362,f142]) ).
fof(f364,plain,
( $false
| spl0_5
| ~ spl0_12
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f363,f40]) ).
fof(f365,plain,
( spl0_5
| ~ spl0_12
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f364]) ).
fof(f367,plain,
( product(e_2,e_3,e_3)
| ~ spl0_4
| ~ spl0_26 ),
inference(resolution,[],[f37,f338]) ).
fof(f373,plain,
( $false
| ~ spl0_4
| spl0_10
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f367,f65]) ).
fof(f374,plain,
( ~ spl0_4
| spl0_10
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f373]) ).
fof(f375,plain,
( $false
| ~ spl0_4
| ~ spl0_10
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f162,f137]) ).
fof(f376,plain,
( ~ spl0_4
| ~ spl0_10
| spl0_25 ),
inference(avatar_contradiction_clause,[],[f375]) ).
fof(f377,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f271,f137]) ).
fof(f378,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_25 ),
inference(avatar_contradiction_clause,[],[f377]) ).
fof(f379,plain,
( $false
| ~ spl0_11
| spl0_14
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f243,f82]) ).
fof(f380,plain,
( ~ spl0_11
| spl0_14
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f379]) ).
fof(f385,plain,
( $false
| ~ spl0_5
| spl0_11
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f290,f69]) ).
fof(f386,plain,
( ~ spl0_5
| spl0_11
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f385]) ).
fof(f404,plain,
( ! [X0] :
( ~ product(e_3,e_3,X0)
| product(e_3,e_2,X0) )
| ~ spl0_10 ),
inference(resolution,[],[f66,f14]) ).
fof(f405,plain,
( product(e_3,e_2,e_2)
| ~ spl0_10
| ~ spl0_20 ),
inference(resolution,[],[f404,f116]) ).
fof(f406,plain,
( $false
| ~ spl0_10
| ~ spl0_20
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f405,f128]) ).
fof(f407,plain,
( ~ spl0_10
| ~ spl0_20
| spl0_23 ),
inference(avatar_contradiction_clause,[],[f406]) ).
fof(f416,plain,
( ! [X0] :
( ~ product(e_2,e_1,X0)
| product(e_1,e_2,X0) )
| ~ spl0_15 ),
inference(resolution,[],[f87,f14]) ).
fof(f421,plain,
( product(e_1,e_2,e_3)
| ~ spl0_15
| ~ spl0_16 ),
inference(resolution,[],[f416,f92]) ).
fof(f422,plain,
( $false
| spl0_4
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f421,f36]) ).
fof(f423,plain,
( spl0_4
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f422]) ).
fof(f428,plain,
( ! [X0] :
( ~ product(e_2,e_3,X0)
| product(e_3,e_2,X0) )
| ~ spl0_13 ),
inference(resolution,[],[f79,f14]) ).
fof(f430,plain,
( product(e_3,e_2,e_2)
| ~ spl0_11
| ~ spl0_13 ),
inference(resolution,[],[f428,f70]) ).
fof(f431,plain,
( $false
| ~ spl0_11
| ~ spl0_13
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f430,f128]) ).
fof(f432,plain,
( ~ spl0_11
| ~ spl0_13
| spl0_23 ),
inference(avatar_contradiction_clause,[],[f431]) ).
fof(f445,plain,
( spl0_12
| ~ spl0_6
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f351,f140,f43,f72]) ).
fof(f450,plain,
( ! [X0] :
( ~ product(e_2,e_1,X0)
| product(e_1,e_1,X0) )
| ~ spl0_6 ),
inference(resolution,[],[f45,f14]) ).
fof(f455,plain,
( ! [X0] :
( ~ product(e_3,e_1,X0)
| product(e_1,e_2,X0) )
| ~ spl0_12 ),
inference(resolution,[],[f74,f14]) ).
fof(f456,plain,
( product(e_1,e_1,e_1)
| ~ spl0_6
| ~ spl0_18 ),
inference(resolution,[],[f450,f100]) ).
fof(f459,plain,
( product(e_2,e_3,e_3)
| ~ spl0_20
| ~ spl0_22 ),
inference(resolution,[],[f125,f247]) ).
fof(f464,plain,
( $false
| spl0_10
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f459,f65]) ).
fof(f465,plain,
( spl0_10
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f464]) ).
fof(f473,plain,
( ! [X0] :
( ~ product(e_2,e_1,X0)
| product(e_1,e_3,X0) )
| ~ spl0_24 ),
inference(resolution,[],[f133,f14]) ).
fof(f474,plain,
( product(e_1,e_3,e_1)
| ~ spl0_18
| ~ spl0_24 ),
inference(resolution,[],[f473,f100]) ).
fof(f475,plain,
( $false
| spl0_3
| ~ spl0_18
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f474,f31]) ).
fof(f476,plain,
( spl0_3
| ~ spl0_18
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f475]) ).
fof(f477,plain,
( $false
| ~ spl0_6
| spl0_9
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f456,f57]) ).
fof(f478,plain,
( ~ spl0_6
| spl0_9
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f477]) ).
fof(f479,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f352,f99]) ).
fof(f480,plain,
( ~ spl0_6
| ~ spl0_8
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f479]) ).
fof(f504,plain,
( ! [X0] :
( ~ product(e_3,e_1,X0)
| product(e_1,e_3,X0) )
| ~ spl0_21 ),
inference(resolution,[],[f120,f14]) ).
fof(f510,plain,
( product(e_1,e_3,e_1)
| ~ spl0_21
| ~ spl0_27 ),
inference(resolution,[],[f146,f504]) ).
fof(f511,plain,
( product(e_1,e_2,e_1)
| ~ spl0_12
| ~ spl0_27 ),
inference(resolution,[],[f146,f455]) ).
fof(f516,plain,
( $false
| spl0_6
| ~ spl0_12
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f511,f44]) ).
fof(f517,plain,
( spl0_6
| ~ spl0_12
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f516]) ).
fof(f518,plain,
( $false
| spl0_3
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f510,f31]) ).
fof(f519,plain,
( spl0_3
| ~ spl0_21
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f518]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f33]) ).
cnf(s2,plain,
( spl0_4
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f46]) ).
cnf(s3,plain,
( spl0_7
| spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f59]) ).
cnf(s4,plain,
( spl0_10
| spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f75]) ).
cnf(s5,plain,
( spl0_13
| spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f88]) ).
cnf(s6,plain,
( spl0_16
| spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f101]) ).
cnf(s7,plain,
( spl0_19
| spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f121]) ).
cnf(s8,plain,
( spl0_22
| spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f134]) ).
cnf(s9,plain,
( spl0_25
| spl0_26
| spl0_27 ),
inference(sat_conversion,[],[f147]) ).
cnf(s10,plain,
( ~ spl0_2
| ~ spl0_7
| spl0_26 ),
inference(sat_conversion,[],[f157]) ).
cnf(s19,plain,
( ~ spl0_2
| spl0_20
| ~ spl0_25 ),
inference(sat_conversion,[],[f242]) ).
cnf(s20,plain,
( ~ spl0_2
| ~ spl0_20 ),
inference(sat_conversion,[],[f253]) ).
cnf(s21,plain,
( ~ spl0_2
| ~ spl0_11 ),
inference(sat_conversion,[],[f255]) ).
cnf(s23,plain,
( ~ spl0_3
| spl0_7
| ~ spl0_25 ),
inference(sat_conversion,[],[f264]) ).
cnf(s24,plain,
( ~ spl0_3
| ~ spl0_7
| spl0_27 ),
inference(sat_conversion,[],[f270]) ).
cnf(s25,plain,
( ~ spl0_1
| ~ spl0_20
| spl0_26 ),
inference(sat_conversion,[],[f279]) ).
cnf(s26,plain,
( ~ spl0_1
| ~ spl0_21
| spl0_27 ),
inference(sat_conversion,[],[f285]) ).
cnf(s27,plain,
( ~ spl0_1
| ~ spl0_19 ),
inference(sat_conversion,[],[f294]) ).
cnf(s28,plain,
( ~ spl0_1
| spl0_19
| ~ spl0_25 ),
inference(sat_conversion,[],[f296]) ).
cnf(s31,plain,
( ~ spl0_3
| spl0_8
| ~ spl0_26 ),
inference(sat_conversion,[],[f306]) ).
cnf(s34,plain,
( ~ spl0_9
| ~ spl0_27 ),
inference(sat_conversion,[],[f326]) ).
cnf(s35,plain,
( ~ spl0_3
| spl0_9
| ~ spl0_27 ),
inference(sat_conversion,[],[f328]) ).
cnf(s36,plain,
( ~ spl0_17
| ~ spl0_26 ),
inference(sat_conversion,[],[f344]) ).
cnf(s37,plain,
( ~ spl0_8
| ~ spl0_17 ),
inference(sat_conversion,[],[f346]) ).
cnf(s38,plain,
( ~ spl0_5
| ~ spl0_14
| spl0_17 ),
inference(sat_conversion,[],[f348]) ).
cnf(s39,plain,
( ~ spl0_5
| ~ spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f350]) ).
cnf(s41,plain,
( spl0_5
| ~ spl0_12
| ~ spl0_26 ),
inference(sat_conversion,[],[f365]) ).
cnf(s43,plain,
( ~ spl0_4
| spl0_10
| ~ spl0_26 ),
inference(sat_conversion,[],[f374]) ).
cnf(s44,plain,
( ~ spl0_4
| ~ spl0_10
| spl0_25 ),
inference(sat_conversion,[],[f376]) ).
cnf(s45,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_25 ),
inference(sat_conversion,[],[f378]) ).
cnf(s46,plain,
( ~ spl0_11
| spl0_14
| ~ spl0_23 ),
inference(sat_conversion,[],[f380]) ).
cnf(s49,plain,
( ~ spl0_5
| spl0_11
| ~ spl0_26 ),
inference(sat_conversion,[],[f386]) ).
cnf(s50,plain,
( ~ spl0_10
| ~ spl0_20
| spl0_23 ),
inference(sat_conversion,[],[f407]) ).
cnf(s51,plain,
( spl0_4
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f423]) ).
cnf(s52,plain,
( ~ spl0_11
| ~ spl0_13
| spl0_23 ),
inference(sat_conversion,[],[f432]) ).
cnf(s54,plain,
( ~ spl0_6
| spl0_12
| ~ spl0_26 ),
inference(sat_conversion,[],[f445]) ).
cnf(s55,plain,
( spl0_10
| ~ spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f465]) ).
cnf(s57,plain,
( spl0_3
| ~ spl0_18
| ~ spl0_24 ),
inference(sat_conversion,[],[f476]) ).
cnf(s59,plain,
( ~ spl0_6
| spl0_9
| ~ spl0_18 ),
inference(sat_conversion,[],[f478]) ).
cnf(s60,plain,
( ~ spl0_6
| ~ spl0_8
| spl0_18 ),
inference(sat_conversion,[],[f480]) ).
cnf(s61,plain,
( spl0_6
| ~ spl0_12
| ~ spl0_27 ),
inference(sat_conversion,[],[f517]) ).
cnf(s62,plain,
( spl0_3
| ~ spl0_21
| ~ spl0_27 ),
inference(sat_conversion,[],[f519]) ).
cnf(s63,plain,
( spl0_8
| spl0_7
| ~ spl0_3 ),
inference(rat,[],[s34,s9,s3,s31,s23]) ).
cnf(s64,plain,
( ~ spl0_26
| ~ spl0_6
| spl0_5 ),
inference(rat,[],[s41,s54]) ).
cnf(s65,plain,
( ~ spl0_27
| ~ spl0_3 ),
inference(rat,[],[s35,s34]) ).
cnf(s66,plain,
( spl0_27
| ~ spl0_3 ),
inference(rat,[],[s43,s44,s2,s64,s39,s37,s9,s63,s23,s24]) ).
cnf(s67,plain,
~ spl0_3,
inference(rat,[],[s66,s65]) ).
cnf(s68,plain,
( ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(rat,[],[s59,s60]) ).
cnf(s69,plain,
( ~ spl0_27
| spl0_7
| ~ spl0_2 ),
inference(rat,[],[s44,s4,s2,s61,s68,s39,s37,s3,s34,s21,s19,s20]) ).
cnf(s70,plain,
( ~ spl0_26
| ~ spl0_2 ),
inference(rat,[],[s44,s2,s4,s64,s41,s49,s21,s19,s20]) ).
cnf(s71,plain,
( ~ spl0_2
| spl0_20 ),
inference(rat,[],[s69,s10,s9,s70,s19]) ).
cnf(s72,plain,
~ spl0_2,
inference(rat,[],[s71,s20]) ).
cnf(s73,plain,
spl0_1,
inference(rat,[],[s1,s67,s72]) ).
cnf(s74,plain,
~ spl0_19,
inference(rat,[],[s27,s73]) ).
cnf(s75,plain,
~ spl0_25,
inference(rat,[],[s28,s73,s74]) ).
cnf(s76,plain,
~ spl0_7,
inference(rat,[],[s45,s73,s75]) ).
cnf(s77,plain,
spl0_26,
inference(rat,[],[s7,s62,s25,s9,s74,s67,s73,s75]) ).
cnf(s78,plain,
~ spl0_17,
inference(rat,[],[s36,s77]) ).
cnf(s79,plain,
~ spl0_4,
inference(rat,[],[s43,s44,s77,s75]) ).
cnf(s80,plain,
( ~ spl0_8
| spl0_9 ),
inference(rat,[],[s2,s39,s68,s78,s79]) ).
cnf(s81,plain,
spl0_9,
inference(rat,[],[s80,s3,s76]) ).
cnf(s82,plain,
~ spl0_27,
inference(rat,[],[s34,s81]) ).
cnf(s83,plain,
~ spl0_21,
inference(rat,[],[s26,s73,s82]) ).
cnf(s84,plain,
spl0_20,
inference(rat,[],[s7,s74,s83]) ).
cnf(s85,plain,
( spl0_14
| ~ spl0_11 ),
inference(rat,[],[s6,s57,s51,s8,s5,s55,s52,s50,s46,s84,s79,s67,s78]) ).
cnf(s86,plain,
~ spl0_5,
inference(rat,[],[s85,s38,s49,s78,s77]) ).
cnf(s88,plain,
~ spl0_6,
inference(rat,[],[s64,s77,s86]) ).
cnf(s89,plain,
$false,
inference(rat,[],[s2,s79,s86,s88]) ).
fof(f520,plain,
$false,
inference(avatar_sat_refutation,[],[s89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP129-1.003 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 09:31:15 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.42 Running first-order model finding
% 0.16/0.42 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
% 0.16/0.45 % (1397082)Will run a generic schedule for satisfiability detection.
% 0.16/0.45 % (1397092)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=377649879:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.16/0.45 % (1397092) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1397082-1397092"...
% 0.16/0.45 % (1397088)% WARNING: option uhcvi not known.
% 0.16/0.45 % (1397092)...printing done.
% 0.16/0.45 % (1397092)Refutation found. Thanks to Tanya!
% 0.16/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.46 % (1397092)------------------------------
% 0.16/0.46 % (1397092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.46 % (1397092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.46 % (1397092)CaDiCaL version: 2.1.3
% 0.16/0.46 % (1397092)Termination reason: Refutation
% 0.16/0.46 % (1397092)Time elapsed: 0.005 s
% 0.16/0.46 % (1397092)Peak memory usage: 12 MB
% 0.16/0.46 % (1397092)Instructions burned: 15 (million)
% 0.16/0.46 % (1397082)Success in time 0.02 s
% 0.16/0.46 % Vampire exiting
%------------------------------------------------------------------------------