%------------------------------------------------------------------------------
% File : Vampire---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/sandbox/benchmark/theBenchmark.p 300 THM
% 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 10:12:58 AM UTC 2026
% Result : Unsatisfiable 2.71s 1.29s
% Output : Refutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 25
% Syntax : Number of formulae : 149 ( 27 unt; 16 def)
% Number of atoms : 356 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 389 ( 182 ~; 191 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 17 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 49 ( 0 sgn 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
fof(f3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
fof(f5,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f7,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f10,axiom,
! [X0,X1] :
( product(X0,X1,e_3)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| ~ group_element(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
fof(f12,axiom,
! [X2,X3,X0,X1] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f13,axiom,
! [X2,X3,X0,X1] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f14,negated_conjecture,
! [X2,X3,X0,X1] :
( product(X2,X0,X3)
| ~ product(X1,X2,X3)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
fof(f18,plain,
! [X0,X1] :
( ~ product(e_3,X0,X1)
| ~ product(e_1,X0,X1) ),
inference(resolution,[],[f5,f13]) ).
fof(f19,plain,
! [X0,X1] :
( ~ product(X0,e_3,X1)
| ~ product(X0,e_1,X1) ),
inference(resolution,[],[f5,f12]) ).
fof(f24,plain,
! [X0,X1] :
( ~ product(e_2,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[],[f7,f13]) ).
fof(f25,plain,
! [X0,X1] :
( ~ product(X0,e_3,X1)
| ~ product(X0,e_2,X1) ),
inference(resolution,[],[f7,f12]) ).
fof(f48,definition,
( spl0_1
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f50,plain,
( ~ product(e_1,e_2,e_2)
| spl0_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ product(e_1,X0,X1)
| ~ product(X2,e_3,X1)
| ~ product(X0,X2,e_3) ),
inference(resolution,[],[f18,f14]) ).
fof(f60,plain,
( ! [X0] :
( ~ product(e_2,X0,e_1)
| ~ product(X0,e_1,e_2) )
| spl0_1 ),
inference(resolution,[],[f50,f14]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ product(e_3,X2,X0)
| ~ product(X2,X0,X1)
| ~ product(X0,e_1,X1) ),
inference(resolution,[],[f19,f14]) ).
fof(f70,plain,
! [X0] :
( ~ product(e_1,e_3,X0)
| ~ product(e_3,e_1,e_3) ),
inference(factoring,[],[f57]) ).
fof(f73,definition,
( spl0_3
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f75,plain,
( ~ product(e_3,e_1,e_3)
| spl0_3 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f77,definition,
( spl0_4
<=> ! [X0] : ~ product(e_1,e_3,X0) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f78,plain,
( ! [X0] : ~ product(e_1,e_3,X0)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f79,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f70,f77,f73]) ).
fof(f86,definition,
( spl0_5
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f88,plain,
( product(e_3,e_1,e_2)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f90,definition,
( spl0_6
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f92,plain,
( product(e_3,e_1,e_1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f95,plain,
! [X2,X0,X1] :
( ~ product(X2,e_2,X1)
| ~ product(e_3,X0,X1)
| ~ product(X0,X2,e_2) ),
inference(resolution,[],[f24,f14]) ).
fof(f99,plain,
( ~ group_element(e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| ~ group_element(e_1)
| ~ spl0_4 ),
inference(resolution,[],[f78,f10]) ).
fof(f100,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| ~ group_element(e_1)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f99,f3]) ).
fof(f101,plain,
( product(e_1,e_3,e_1)
| ~ group_element(e_1)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f100,f78]) ).
fof(f102,plain,
( ~ group_element(e_1)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f101,f78]) ).
fof(f103,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f102,f1]) ).
fof(f104,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f103]) ).
fof(f105,plain,
! [X2,X0,X1] :
( ~ product(X0,e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(e_3,X2,X0) ),
inference(resolution,[],[f25,f14]) ).
fof(f108,plain,
( ~ group_element(e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| ~ group_element(e_3)
| spl0_3 ),
inference(resolution,[],[f75,f10]) ).
fof(f110,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| ~ group_element(e_3)
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f108,f1]) ).
fof(f111,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f110,f3]) ).
fof(f112,plain,
( spl0_5
| spl0_6
| spl0_3 ),
inference(avatar_split_clause,[],[f111,f73,f90,f86]) ).
fof(f156,plain,
! [X0] :
( ~ product(e_3,e_2,X0)
| ~ product(e_2,e_3,e_2) ),
inference(factoring,[],[f95]) ).
fof(f159,definition,
( spl0_9
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f161,plain,
( ~ product(e_2,e_3,e_2)
| spl0_9 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f163,definition,
( spl0_10
<=> ! [X0] : ~ product(e_3,e_2,X0) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f164,plain,
( ! [X0] : ~ product(e_3,e_2,X0)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f165,plain,
( ~ spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f156,f163,f159]) ).
fof(f167,plain,
( ! [X0] :
( ~ product(e_3,X0,e_2)
| ~ product(X0,e_2,e_2) )
| spl0_9 ),
inference(resolution,[],[f161,f14]) ).
fof(f170,plain,
! [X0] :
( ~ product(e_2,e_2,X0)
| ~ product(e_3,e_2,e_2) ),
inference(factoring,[],[f105]) ).
fof(f171,plain,
( ~ product(e_3,e_2,e_3)
| ~ product(e_2,e_3,e_3) ),
inference(factoring,[],[f105]) ).
fof(f173,definition,
( spl0_11
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f174,plain,
( product(e_2,e_3,e_3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f175,plain,
( ~ product(e_2,e_3,e_3)
| spl0_11 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f177,definition,
( spl0_12
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f179,plain,
( ~ product(e_3,e_2,e_3)
| spl0_12 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f180,plain,
( ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f171,f177,f173]) ).
fof(f182,definition,
( spl0_13
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f184,plain,
( ~ product(e_3,e_2,e_2)
| spl0_13 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f186,definition,
( spl0_14
<=> ! [X0] : ~ product(e_2,e_2,X0) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f187,plain,
( ! [X0] : ~ product(e_2,e_2,X0)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f188,plain,
( ~ spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f170,f186,f182]) ).
fof(f190,plain,
( ~ group_element(e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| ~ group_element(e_2)
| spl0_11 ),
inference(resolution,[],[f175,f10]) ).
fof(f192,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| ~ group_element(e_2)
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f190,f3]) ).
fof(f193,plain,
( product(e_2,e_3,e_1)
| ~ group_element(e_2)
| spl0_9
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f192,f161]) ).
fof(f194,plain,
( product(e_2,e_3,e_1)
| spl0_9
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f193,f2]) ).
fof(f203,plain,
( ~ product(e_3,e_1,e_2)
| spl0_1
| spl0_9
| spl0_11 ),
inference(resolution,[],[f194,f60]) ).
fof(f213,plain,
( $false
| spl0_1
| ~ spl0_5
| spl0_9
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f203,f88]) ).
fof(f214,plain,
( spl0_1
| ~ spl0_5
| spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f213]) ).
fof(f281,plain,
( ~ product(e_1,e_2,e_2)
| ~ spl0_5
| spl0_9 ),
inference(resolution,[],[f167,f88]) ).
fof(f307,definition,
( spl0_21
<=> ! [X0] : ~ product(e_1,e_1,X0) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f308,plain,
( ! [X0] : ~ product(e_1,e_1,X0)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f314,plain,
( ! [X0] :
( ~ product(e_1,e_1,X0)
| ~ product(e_1,e_1,X0) )
| ~ spl0_6 ),
inference(resolution,[],[f92,f61]) ).
fof(f318,plain,
( ! [X0] : ~ product(e_1,e_1,X0)
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f314]) ).
fof(f319,plain,
( spl0_21
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f318,f90,f307]) ).
fof(f339,plain,
( ~ group_element(e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| ~ group_element(e_3)
| ~ spl0_10 ),
inference(resolution,[],[f164,f10]) ).
fof(f340,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| ~ group_element(e_3)
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f339,f2]) ).
fof(f341,plain,
( product(e_3,e_2,e_1)
| ~ group_element(e_3)
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f340,f164]) ).
fof(f342,plain,
( ~ group_element(e_3)
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f341,f164]) ).
fof(f343,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f342,f3]) ).
fof(f344,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f343]) ).
fof(f389,plain,
( ~ group_element(e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| ~ group_element(e_1)
| ~ spl0_21 ),
inference(resolution,[],[f308,f10]) ).
fof(f390,plain,
( ~ group_element(e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| ~ spl0_21 ),
inference(duplicate_literal_removal,[],[f389]) ).
fof(f391,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f390,f1]) ).
fof(f392,plain,
( product(e_1,e_1,e_1)
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f391,f308]) ).
fof(f393,plain,
( $false
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f392,f308]) ).
fof(f394,plain,
~ spl0_21,
inference(avatar_contradiction_clause,[],[f393]) ).
fof(f395,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_9 ),
inference(avatar_split_clause,[],[f281,f159,f86,f48]) ).
fof(f399,plain,
( ~ product(e_3,e_3,e_3)
| ~ spl0_11 ),
inference(resolution,[],[f174,f24]) ).
fof(f405,plain,
( ~ group_element(e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| ~ group_element(e_3)
| spl0_12 ),
inference(resolution,[],[f179,f10]) ).
fof(f407,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| ~ group_element(e_3)
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f405,f2]) ).
fof(f408,plain,
( product(e_3,e_2,e_1)
| ~ group_element(e_3)
| spl0_12
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f407,f184]) ).
fof(f409,plain,
( product(e_3,e_2,e_1)
| spl0_12
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f408,f3]) ).
fof(f433,definition,
( spl0_25
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f435,plain,
( ~ product(e_3,e_3,e_3)
| spl0_25 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f459,plain,
( ~ spl0_25
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f399,f173,f433]) ).
fof(f478,definition,
( spl0_29
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f480,plain,
( product(e_3,e_2,e_1)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f504,plain,
( spl0_29
| spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f409,f182,f177,f478]) ).
fof(f507,plain,
( ~ group_element(e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| ~ group_element(e_2)
| ~ spl0_14 ),
inference(resolution,[],[f187,f10]) ).
fof(f508,plain,
( ~ group_element(e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| ~ spl0_14 ),
inference(duplicate_literal_removal,[],[f507]) ).
fof(f509,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f508,f2]) ).
fof(f510,plain,
( product(e_2,e_2,e_1)
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f509,f187]) ).
fof(f511,plain,
( $false
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f510,f187]) ).
fof(f512,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f511]) ).
fof(f535,plain,
( ~ group_element(e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| ~ group_element(e_3)
| spl0_25 ),
inference(resolution,[],[f435,f10]) ).
fof(f537,plain,
( ~ group_element(e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| spl0_25 ),
inference(duplicate_literal_removal,[],[f535]) ).
fof(f539,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f537,f3]) ).
fof(f541,definition,
( spl0_32
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f543,plain,
( product(e_3,e_3,e_2)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f545,definition,
( spl0_33
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f547,plain,
( product(e_3,e_3,e_1)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f548,plain,
( spl0_32
| spl0_33
| spl0_25 ),
inference(avatar_split_clause,[],[f539,f433,f545,f541]) ).
fof(f690,plain,
( ~ product(e_3,e_1,e_2)
| ~ spl0_32 ),
inference(resolution,[],[f543,f19]) ).
fof(f691,plain,
( $false
| ~ spl0_5
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f690,f88]) ).
fof(f692,plain,
( ~ spl0_5
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f691]) ).
fof(f710,plain,
( ~ product(e_3,e_2,e_1)
| ~ spl0_33 ),
inference(resolution,[],[f547,f25]) ).
fof(f712,plain,
( $false
| ~ spl0_29
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f710,f480]) ).
fof(f713,plain,
( ~ spl0_29
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f712]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f79]) ).
cnf(s4,plain,
~ spl0_4,
inference(sat_conversion,[],[f104]) ).
cnf(s5,plain,
( spl0_3
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f112]) ).
cnf(s8,plain,
( ~ spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f165]) ).
cnf(s9,plain,
( ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f180]) ).
cnf(s10,plain,
( ~ spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f188]) ).
cnf(s12,plain,
( spl0_1
| ~ spl0_5
| spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f214]) ).
cnf(s19,plain,
( ~ spl0_6
| spl0_21 ),
inference(sat_conversion,[],[f319]) ).
cnf(s24,plain,
~ spl0_10,
inference(sat_conversion,[],[f344]) ).
cnf(s30,plain,
~ spl0_21,
inference(sat_conversion,[],[f394]) ).
cnf(s31,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f395]) ).
cnf(s40,plain,
( ~ spl0_11
| ~ spl0_25 ),
inference(sat_conversion,[],[f459]) ).
cnf(s47,plain,
( spl0_12
| spl0_13
| spl0_29 ),
inference(sat_conversion,[],[f504]) ).
cnf(s48,plain,
~ spl0_14,
inference(sat_conversion,[],[f512]) ).
cnf(s53,plain,
( spl0_25
| spl0_32
| spl0_33 ),
inference(sat_conversion,[],[f548]) ).
cnf(s72,plain,
( ~ spl0_5
| ~ spl0_32 ),
inference(sat_conversion,[],[f692]) ).
cnf(s76,plain,
( ~ spl0_29
| ~ spl0_33 ),
inference(sat_conversion,[],[f713]) ).
cnf(s78,plain,
~ spl0_6,
inference(rat,[],[s19,s30]) ).
cnf(s80,plain,
~ spl0_13,
inference(rat,[],[s10,s48]) ).
cnf(s81,plain,
~ spl0_9,
inference(rat,[],[s8,s24]) ).
cnf(s82,plain,
( spl0_3
| spl0_5 ),
inference(rat,[],[s5,s78]) ).
cnf(s84,plain,
~ spl0_3,
inference(rat,[],[s2,s4]) ).
cnf(s85,plain,
spl0_5,
inference(rat,[],[s82,s84]) ).
cnf(s86,plain,
~ spl0_32,
inference(rat,[],[s72,s85]) ).
cnf(s88,plain,
~ spl0_1,
inference(rat,[],[s31,s81,s85]) ).
cnf(s89,plain,
spl0_11,
inference(rat,[],[s12,s85,s81,s88]) ).
cnf(s90,plain,
~ spl0_25,
inference(rat,[],[s40,s89]) ).
cnf(s92,plain,
~ spl0_12,
inference(rat,[],[s9,s89]) ).
cnf(s93,plain,
spl0_33,
inference(rat,[],[s53,s86,s90]) ).
cnf(s95,plain,
spl0_29,
inference(rat,[],[s47,s80,s92]) ).
cnf(s96,plain,
$false,
inference(rat,[],[s76,s93,s95]) ).
fof(f715,plain,
$false,
inference(avatar_sat_refutation,[],[s96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP129-1.003 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n015.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 09:31:30 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.71/1.29 % (1397885)Input is clausal, will run a generic CNF schedule.
% 2.71/1.29 % (1397892)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2759589263:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.71/1.29 % (1397894)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4282379953:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.71/1.29 % (1397893)lrs+10_1_sil=8000:sp=occurrence:random_seed=3930407494:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.71/1.29 % (1397891)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1838844422:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.71/1.29 % (1397890)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=1035624686:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.71/1.29 % (1397895)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3039420717:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.71/1.29 % (1397896)dis-21_1_sil=8000:lcm=predicate:random_seed=1505763475: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)
% 2.71/1.29 % (1397895)First to succeed.
% 2.71/1.29 % (1397895)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1397885"
% 2.71/1.29 % (1397894)Also succeeded, but the first one will report.
% 2.71/1.29 % (1397893)Instruction limit reached!
% 2.71/1.29 % (1397893)------------------------------
% 2.71/1.29 % (1397893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.29 % (1397893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.29 % (1397893)CaDiCaL version: 2.1.3
% 2.71/1.29 % (1397893)Termination reason: Instruction limit
% 2.71/1.29 % (1397893)Termination phase: Saturation
% 2.71/1.29 % (1397893)Time elapsed: 0.061 s
% 2.71/1.29 % (1397893)Peak memory usage: 88 MB
% 2.71/1.29 % (1397893)Instructions burned: 108 (million)
% 2.71/1.29 % (1397896)Also succeeded, but the first one will report.
% 2.71/1.29 % (1397904)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=584059602:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.71/1.29 % (1397895)Refutation found. Thanks to Tanya!
% 2.71/1.29 % SZS status Unsatisfiable for theBenchmark
% 2.71/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.60/1.48 % (1397895)------------------------------
% 3.60/1.48 % (1397895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.48 % (1397895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.48 % (1397895)CaDiCaL version: 2.1.3
% 3.60/1.48 % (1397895)Termination reason: Refutation
% 3.60/1.48 % (1397895)Time elapsed: 0.020 s
% 3.60/1.48 % (1397895)Peak memory usage: 89 MB
% 3.60/1.48 % (1397895)Instructions burned: 24 (million)
% 3.60/1.48 % (1397895)------------------------------
% 3.60/1.48 % (1397895)------------------------------
% 3.60/1.48 % (1397885)Success in time 0.429 s
% 3.60/1.48 % Vampire exiting
%------------------------------------------------------------------------------