%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP124-7.004 : 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 10:16:46 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 59
% Syntax : Number of formulae : 301 ( 74 unt; 36 def)
% Number of atoms : 647 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 635 ( 289 ~; 310 |; 0 &)
% ( 36 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 41 ( 40 usr; 37 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 41 ( 0 sgn 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
fof(f12,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
fof(f13,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
fof(f14,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_4) ).
fof(f15,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f16,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f17,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
fof(f18,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
fof(f19,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f20,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
fof(f21,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
fof(f22,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
fof(f23,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
fof(f24,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
fof(f25,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
fof(f26,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
fof(f27,axiom,
! [X0,X1] :
( ~ group_element(X0)
| ~ group_element(X1)
| product1(X0,X1,e_1)
| product1(X0,X1,e_2)
| product1(X0,X1,e_3)
| product1(X0,X1,e_4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_total_function1) ).
fof(f29,axiom,
! [X2,X3,X0,X1] :
( ~ product1(X0,X1,X2)
| ~ product1(X0,X3,X2)
| equalish(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_right_cancellation) ).
fof(f30,axiom,
! [X2,X3,X0,X1] :
( ~ product1(X0,X1,X2)
| ~ product1(X3,X1,X2)
| equalish(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_left_cancellation) ).
fof(f31,axiom,
! [X0] : product1(X0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_idempotence) ).
fof(f33,axiom,
! [X2,X3,X0,X1] :
( ~ product2(X0,X1,X2)
| ~ product2(X0,X1,X3)
| equalish(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_total_function2) ).
fof(f36,axiom,
! [X0] : product2(X0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_idempotence) ).
fof(f37,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ product1(X0,X1,X2)
| ~ product1(X2,X0,X3)
| product2(X3,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg2a) ).
fof(f41,plain,
! [X0,X1] :
( ~ product1(X0,X1,X0)
| equalish(X0,X1) ),
inference(resolution,[],[f29,f31]) ).
fof(f43,plain,
! [X0,X1] :
( ~ product1(X0,X1,X1)
| equalish(X1,X0) ),
inference(resolution,[],[f30,f31]) ).
fof(f44,plain,
! [X0,X1] :
( ~ product2(X0,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f33,f36]) ).
fof(f50,plain,
! [X0] :
( ~ group_element(X0)
| product1(e_1,X0,e_1)
| product1(e_1,X0,e_2)
| product1(e_1,X0,e_3)
| product1(e_1,X0,e_4) ),
inference(resolution,[],[f27,f11]) ).
fof(f51,plain,
! [X0] :
( ~ group_element(X0)
| product1(e_2,X0,e_1)
| product1(e_2,X0,e_2)
| product1(e_2,X0,e_3)
| product1(e_2,X0,e_4) ),
inference(resolution,[],[f27,f12]) ).
fof(f52,plain,
! [X0] :
( ~ group_element(X0)
| product1(e_3,X0,e_1)
| product1(e_3,X0,e_2)
| product1(e_3,X0,e_3)
| product1(e_3,X0,e_4) ),
inference(resolution,[],[f27,f13]) ).
fof(f61,plain,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_4) ),
inference(resolution,[],[f50,f12]) ).
fof(f62,plain,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_4) ),
inference(resolution,[],[f50,f13]) ).
fof(f63,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_3)
| product1(e_1,e_4,e_4) ),
inference(resolution,[],[f50,f14]) ).
fof(f65,definition,
( spl0_1
<=> product1(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f67,plain,
( product1(e_1,e_4,e_4)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f69,definition,
( spl0_2
<=> product1(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f71,plain,
( product1(e_1,e_4,e_3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f73,definition,
( spl0_3
<=> product1(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f75,plain,
( product1(e_1,e_4,e_2)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f77,definition,
( spl0_4
<=> product1(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f79,plain,
( product1(e_1,e_4,e_1)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f80,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f63,f77,f73,f69,f65]) ).
fof(f82,definition,
( spl0_5
<=> product1(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f84,plain,
( product1(e_1,e_3,e_4)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f86,definition,
( spl0_6
<=> product1(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f88,plain,
( product1(e_1,e_3,e_3)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f90,definition,
( spl0_7
<=> product1(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f92,plain,
( product1(e_1,e_3,e_2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f94,definition,
( spl0_8
<=> product1(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f96,plain,
( product1(e_1,e_3,e_1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f97,plain,
( spl0_5
| spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f62,f94,f90,f86,f82]) ).
fof(f99,definition,
( spl0_9
<=> product1(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f101,plain,
( product1(e_1,e_2,e_4)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f103,definition,
( spl0_10
<=> product1(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f105,plain,
( product1(e_1,e_2,e_3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f107,definition,
( spl0_11
<=> product1(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f109,plain,
( product1(e_1,e_2,e_2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f111,definition,
( spl0_12
<=> product1(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f113,plain,
( product1(e_1,e_2,e_1)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f114,plain,
( spl0_9
| spl0_10
| spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f61,f111,f107,f103,f99]) ).
fof(f118,plain,
( ! [X0] :
( ~ product1(e_3,e_1,X0)
| product2(X0,e_4,e_1) )
| ~ spl0_2 ),
inference(resolution,[],[f71,f37]) ).
fof(f119,plain,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_4) ),
inference(resolution,[],[f51,f11]) ).
fof(f121,plain,
( product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_4) ),
inference(resolution,[],[f51,f13]) ).
fof(f122,plain,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_4) ),
inference(resolution,[],[f51,f14]) ).
fof(f124,definition,
( spl0_13
<=> product1(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f126,plain,
( product1(e_2,e_4,e_4)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f128,definition,
( spl0_14
<=> product1(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f130,plain,
( product1(e_2,e_4,e_3)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f132,definition,
( spl0_15
<=> product1(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f134,plain,
( product1(e_2,e_4,e_2)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f136,definition,
( spl0_16
<=> product1(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f138,plain,
( product1(e_2,e_4,e_1)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f139,plain,
( spl0_13
| spl0_14
| spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f122,f136,f132,f128,f124]) ).
fof(f141,definition,
( spl0_17
<=> product1(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f143,plain,
( product1(e_2,e_3,e_4)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f145,definition,
( spl0_18
<=> product1(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f147,plain,
( product1(e_2,e_3,e_3)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f149,definition,
( spl0_19
<=> product1(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f151,plain,
( product1(e_2,e_3,e_2)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f153,definition,
( spl0_20
<=> product1(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f155,plain,
( product1(e_2,e_3,e_1)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f156,plain,
( spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f121,f153,f149,f145,f141]) ).
fof(f158,definition,
( spl0_21
<=> product1(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f160,plain,
( product1(e_2,e_1,e_4)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f162,definition,
( spl0_22
<=> product1(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f164,plain,
( product1(e_2,e_1,e_3)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f166,definition,
( spl0_23
<=> product1(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f168,plain,
( product1(e_2,e_1,e_2)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f170,definition,
( spl0_24
<=> product1(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f172,plain,
( product1(e_2,e_1,e_1)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f173,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24 ),
inference(avatar_split_clause,[],[f119,f170,f166,f162,f158]) ).
fof(f174,plain,
( product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_4) ),
inference(resolution,[],[f52,f11]) ).
fof(f175,plain,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4) ),
inference(resolution,[],[f52,f12]) ).
fof(f177,plain,
( product1(e_3,e_4,e_1)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_4) ),
inference(resolution,[],[f52,f14]) ).
fof(f179,definition,
( spl0_25
<=> product1(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f181,plain,
( product1(e_3,e_4,e_4)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f183,definition,
( spl0_26
<=> product1(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f185,plain,
( product1(e_3,e_4,e_3)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f187,definition,
( spl0_27
<=> product1(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f189,plain,
( product1(e_3,e_4,e_2)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f191,definition,
( spl0_28
<=> product1(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f193,plain,
( product1(e_3,e_4,e_1)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f194,plain,
( spl0_25
| spl0_26
| spl0_27
| spl0_28 ),
inference(avatar_split_clause,[],[f177,f191,f187,f183,f179]) ).
fof(f196,definition,
( spl0_29
<=> product1(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f198,plain,
( product1(e_3,e_2,e_4)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f200,definition,
( spl0_30
<=> product1(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f202,plain,
( product1(e_3,e_2,e_3)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f204,definition,
( spl0_31
<=> product1(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f206,plain,
( product1(e_3,e_2,e_2)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f208,definition,
( spl0_32
<=> product1(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f210,plain,
( product1(e_3,e_2,e_1)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f211,plain,
( spl0_29
| spl0_30
| spl0_31
| spl0_32 ),
inference(avatar_split_clause,[],[f175,f208,f204,f200,f196]) ).
fof(f213,definition,
( spl0_33
<=> product1(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f215,plain,
( product1(e_3,e_1,e_4)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f217,definition,
( spl0_34
<=> product1(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f219,plain,
( product1(e_3,e_1,e_3)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f221,definition,
( spl0_35
<=> product1(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f223,plain,
( product1(e_3,e_1,e_2)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f225,definition,
( spl0_36
<=> product1(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f227,plain,
( product1(e_3,e_1,e_1)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f228,plain,
( spl0_33
| spl0_34
| spl0_35
| spl0_36 ),
inference(avatar_split_clause,[],[f174,f225,f221,f217,f213]) ).
fof(f461,plain,
( equalish(e_4,e_2)
| ~ spl0_13 ),
inference(resolution,[],[f126,f43]) ).
fof(f462,plain,
( $false
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f461,f25]) ).
fof(f463,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f462]) ).
fof(f522,plain,
( ! [X0] :
( ~ product1(e_3,e_2,X0)
| product2(X0,e_4,e_2) )
| ~ spl0_14 ),
inference(resolution,[],[f130,f37]) ).
fof(f535,plain,
( equalish(e_4,e_3)
| ~ spl0_25 ),
inference(resolution,[],[f181,f43]) ).
fof(f536,plain,
( $false
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f535,f26]) ).
fof(f537,plain,
~ spl0_25,
inference(avatar_contradiction_clause,[],[f536]) ).
fof(f542,plain,
( equalish(e_3,e_4)
| ~ spl0_26 ),
inference(resolution,[],[f185,f41]) ).
fof(f543,plain,
( $false
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f542,f23]) ).
fof(f544,plain,
~ spl0_26,
inference(avatar_contradiction_clause,[],[f543]) ).
fof(f548,plain,
( ! [X0] :
( ~ product1(e_2,e_3,X0)
| product2(X0,e_4,e_3) )
| ~ spl0_27 ),
inference(resolution,[],[f189,f37]) ).
fof(f549,plain,
( product2(e_4,e_4,e_3)
| ~ spl0_17
| ~ spl0_27 ),
inference(resolution,[],[f548,f143]) ).
fof(f550,plain,
( product2(e_4,e_4,e_2)
| ~ spl0_14
| ~ spl0_29 ),
inference(resolution,[],[f198,f522]) ).
fof(f558,plain,
( equalish(e_4,e_3)
| ~ spl0_17
| ~ spl0_27 ),
inference(resolution,[],[f549,f44]) ).
fof(f559,plain,
( $false
| ~ spl0_17
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f558,f26]) ).
fof(f560,plain,
( ~ spl0_17
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f559]) ).
fof(f564,plain,
( equalish(e_4,e_2)
| ~ spl0_14
| ~ spl0_29 ),
inference(resolution,[],[f550,f44]) ).
fof(f565,plain,
( $false
| ~ spl0_14
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f564,f25]) ).
fof(f566,plain,
( ~ spl0_14
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f565]) ).
fof(f571,plain,
( equalish(e_2,e_4)
| ~ spl0_15 ),
inference(resolution,[],[f134,f41]) ).
fof(f572,plain,
( $false
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f571,f20]) ).
fof(f573,plain,
~ spl0_15,
inference(avatar_contradiction_clause,[],[f572]) ).
fof(f577,plain,
( ! [X0] :
( ~ product1(e_1,e_2,X0)
| product2(X0,e_4,e_2) )
| ~ spl0_16 ),
inference(resolution,[],[f138,f37]) ).
fof(f578,plain,
( product2(e_4,e_4,e_2)
| ~ spl0_9
| ~ spl0_16 ),
inference(resolution,[],[f577,f101]) ).
fof(f584,plain,
( equalish(e_3,e_2)
| ~ spl0_18 ),
inference(resolution,[],[f147,f43]) ).
fof(f585,plain,
( $false
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f584,f22]) ).
fof(f586,plain,
~ spl0_18,
inference(avatar_contradiction_clause,[],[f585]) ).
fof(f591,plain,
( equalish(e_4,e_2)
| ~ spl0_9
| ~ spl0_16 ),
inference(resolution,[],[f578,f44]) ).
fof(f592,plain,
( $false
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f591,f25]) ).
fof(f593,plain,
( ~ spl0_9
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f592]) ).
fof(f605,plain,
( equalish(e_2,e_1)
| ~ spl0_11 ),
inference(resolution,[],[f109,f43]) ).
fof(f606,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f605,f18]) ).
fof(f607,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f606]) ).
fof(f614,plain,
( equalish(e_1,e_2)
| ~ spl0_12 ),
inference(resolution,[],[f113,f41]) ).
fof(f615,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f614,f15]) ).
fof(f616,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f615]) ).
fof(f631,plain,
( equalish(e_2,e_3)
| ~ spl0_19 ),
inference(resolution,[],[f151,f41]) ).
fof(f632,plain,
( $false
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f631,f19]) ).
fof(f633,plain,
~ spl0_19,
inference(avatar_contradiction_clause,[],[f632]) ).
fof(f648,plain,
( ! [X0] :
( ~ product1(e_1,e_3,X0)
| product2(X0,e_4,e_3) )
| ~ spl0_28 ),
inference(resolution,[],[f193,f37]) ).
fof(f649,plain,
( product2(e_4,e_4,e_3)
| ~ spl0_5
| ~ spl0_28 ),
inference(resolution,[],[f648,f84]) ).
fof(f655,plain,
( equalish(e_3,e_2)
| ~ spl0_30 ),
inference(resolution,[],[f202,f41]) ).
fof(f656,plain,
( $false
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f655,f22]) ).
fof(f657,plain,
~ spl0_30,
inference(avatar_contradiction_clause,[],[f656]) ).
fof(f662,plain,
( equalish(e_4,e_3)
| ~ spl0_5
| ~ spl0_28 ),
inference(resolution,[],[f649,f44]) ).
fof(f663,plain,
( $false
| ~ spl0_5
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f662,f26]) ).
fof(f664,plain,
( ~ spl0_5
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f663]) ).
fof(f670,plain,
( equalish(e_3,e_1)
| ~ spl0_6 ),
inference(resolution,[],[f88,f43]) ).
fof(f671,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f670,f21]) ).
fof(f672,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f671]) ).
fof(f679,plain,
( equalish(e_1,e_3)
| ~ spl0_8 ),
inference(resolution,[],[f96,f41]) ).
fof(f680,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f679,f16]) ).
fof(f681,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f680]) ).
fof(f687,plain,
( ! [X0] :
( ~ product1(e_2,e_1,X0)
| product2(X0,e_3,e_1) )
| ~ spl0_7 ),
inference(resolution,[],[f92,f37]) ).
fof(f691,plain,
( product2(e_3,e_3,e_1)
| ~ spl0_7
| ~ spl0_22 ),
inference(resolution,[],[f164,f687]) ).
fof(f699,plain,
( equalish(e_3,e_1)
| ~ spl0_7
| ~ spl0_22 ),
inference(resolution,[],[f691,f44]) ).
fof(f700,plain,
( $false
| ~ spl0_7
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f699,f21]) ).
fof(f701,plain,
( ~ spl0_7
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f700]) ).
fof(f707,plain,
( equalish(e_2,e_1)
| ~ spl0_23 ),
inference(resolution,[],[f168,f41]) ).
fof(f708,plain,
( $false
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f707,f18]) ).
fof(f709,plain,
~ spl0_23,
inference(avatar_contradiction_clause,[],[f708]) ).
fof(f716,plain,
( equalish(e_1,e_2)
| ~ spl0_24 ),
inference(resolution,[],[f172,f43]) ).
fof(f717,plain,
( $false
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f716,f15]) ).
fof(f718,plain,
~ spl0_24,
inference(avatar_contradiction_clause,[],[f717]) ).
fof(f730,plain,
( equalish(e_2,e_3)
| ~ spl0_31 ),
inference(resolution,[],[f206,f43]) ).
fof(f731,plain,
( $false
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f730,f19]) ).
fof(f732,plain,
~ spl0_31,
inference(avatar_contradiction_clause,[],[f731]) ).
fof(f738,plain,
( ! [X0] :
( ~ product1(e_1,e_3,X0)
| product2(X0,e_2,e_3) )
| ~ spl0_32 ),
inference(resolution,[],[f210,f37]) ).
fof(f740,plain,
( product2(e_2,e_2,e_3)
| ~ spl0_7
| ~ spl0_32 ),
inference(resolution,[],[f738,f92]) ).
fof(f741,plain,
( product2(e_4,e_4,e_1)
| ~ spl0_2
| ~ spl0_33 ),
inference(resolution,[],[f215,f118]) ).
fof(f749,plain,
( equalish(e_2,e_3)
| ~ spl0_7
| ~ spl0_32 ),
inference(resolution,[],[f740,f44]) ).
fof(f750,plain,
( $false
| ~ spl0_7
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f749,f19]) ).
fof(f751,plain,
( ~ spl0_7
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f750]) ).
fof(f755,plain,
( equalish(e_4,e_1)
| ~ spl0_2
| ~ spl0_33 ),
inference(resolution,[],[f741,f44]) ).
fof(f756,plain,
( $false
| ~ spl0_2
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f755,f24]) ).
fof(f757,plain,
( ~ spl0_2
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f756]) ).
fof(f761,plain,
( ! [X0] :
( ~ product1(e_2,e_1,X0)
| product2(X0,e_4,e_1) )
| ~ spl0_3 ),
inference(resolution,[],[f75,f37]) ).
fof(f762,plain,
( product2(e_4,e_4,e_1)
| ~ spl0_3
| ~ spl0_21 ),
inference(resolution,[],[f761,f160]) ).
fof(f766,plain,
( ! [X0] :
( ~ product1(e_3,e_1,X0)
| product2(X0,e_2,e_1) )
| ~ spl0_10 ),
inference(resolution,[],[f105,f37]) ).
fof(f770,plain,
( equalish(e_4,e_1)
| ~ spl0_3
| ~ spl0_21 ),
inference(resolution,[],[f762,f44]) ).
fof(f771,plain,
( $false
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f770,f24]) ).
fof(f772,plain,
( ~ spl0_3
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f771]) ).
fof(f779,plain,
( equalish(e_1,e_4)
| ~ spl0_4 ),
inference(resolution,[],[f79,f41]) ).
fof(f780,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f779,f17]) ).
fof(f781,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f780]) ).
fof(f786,plain,
( equalish(e_4,e_1)
| ~ spl0_1 ),
inference(resolution,[],[f67,f43]) ).
fof(f787,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f786,f24]) ).
fof(f788,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f787]) ).
fof(f808,plain,
( equalish(e_3,e_1)
| ~ spl0_34 ),
inference(resolution,[],[f219,f41]) ).
fof(f809,plain,
( $false
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f808,f21]) ).
fof(f810,plain,
~ spl0_34,
inference(avatar_contradiction_clause,[],[f809]) ).
fof(f814,plain,
( product2(e_2,e_2,e_1)
| ~ spl0_10
| ~ spl0_35 ),
inference(resolution,[],[f223,f766]) ).
fof(f832,plain,
( equalish(e_2,e_1)
| ~ spl0_10
| ~ spl0_35 ),
inference(resolution,[],[f814,f44]) ).
fof(f833,plain,
( $false
| ~ spl0_10
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f832,f18]) ).
fof(f834,plain,
( ~ spl0_10
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f833]) ).
fof(f841,plain,
( equalish(e_1,e_3)
| ~ spl0_36 ),
inference(resolution,[],[f227,f43]) ).
fof(f842,plain,
( $false
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f841,f16]) ).
fof(f843,plain,
~ spl0_36,
inference(avatar_contradiction_clause,[],[f842]) ).
fof(f857,plain,
( ! [X0] :
( ~ product1(e_1,e_2,X0)
| product2(X0,e_3,e_2) )
| ~ spl0_20 ),
inference(resolution,[],[f155,f37]) ).
fof(f858,plain,
( product2(e_3,e_3,e_2)
| ~ spl0_10
| ~ spl0_20 ),
inference(resolution,[],[f857,f105]) ).
fof(f863,plain,
( ! [X0] :
( ~ product1(e_3,e_2,X0)
| product2(X0,e_1,e_2) )
| ~ spl0_22 ),
inference(resolution,[],[f164,f37]) ).
fof(f868,plain,
( equalish(e_3,e_2)
| ~ spl0_10
| ~ spl0_20 ),
inference(resolution,[],[f858,f44]) ).
fof(f869,plain,
( $false
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f868,f22]) ).
fof(f870,plain,
( ~ spl0_10
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f869]) ).
fof(f887,plain,
( product2(e_1,e_1,e_2)
| ~ spl0_22
| ~ spl0_32 ),
inference(resolution,[],[f210,f863]) ).
fof(f899,plain,
( equalish(e_1,e_2)
| ~ spl0_22
| ~ spl0_32 ),
inference(resolution,[],[f887,f44]) ).
fof(f900,plain,
( $false
| ~ spl0_22
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f899,f15]) ).
fof(f901,plain,
( ~ spl0_22
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f900]) ).
fof(f916,plain,
( ! [X0] :
( ~ product1(e_2,e_3,X0)
| product2(X0,e_1,e_3) )
| ~ spl0_35 ),
inference(resolution,[],[f223,f37]) ).
fof(f917,plain,
( product2(e_1,e_1,e_3)
| ~ spl0_20
| ~ spl0_35 ),
inference(resolution,[],[f916,f155]) ).
fof(f921,plain,
( equalish(e_1,e_3)
| ~ spl0_20
| ~ spl0_35 ),
inference(resolution,[],[f917,f44]) ).
fof(f922,plain,
( $false
| ~ spl0_20
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f921,f16]) ).
fof(f923,plain,
( ~ spl0_20
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f922]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f80]) ).
cnf(s2,plain,
( spl0_5
| spl0_6
| spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f97]) ).
cnf(s3,plain,
( spl0_9
| spl0_10
| spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f114]) ).
cnf(s4,plain,
( spl0_13
| spl0_14
| spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f139]) ).
cnf(s5,plain,
( spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f156]) ).
cnf(s6,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f173]) ).
cnf(s7,plain,
( spl0_25
| spl0_26
| spl0_27
| spl0_28 ),
inference(sat_conversion,[],[f194]) ).
cnf(s8,plain,
( spl0_29
| spl0_30
| spl0_31
| spl0_32 ),
inference(sat_conversion,[],[f211]) ).
cnf(s9,plain,
( spl0_33
| spl0_34
| spl0_35
| spl0_36 ),
inference(sat_conversion,[],[f228]) ).
cnf(s22,plain,
~ spl0_13,
inference(sat_conversion,[],[f463]) ).
cnf(s26,plain,
~ spl0_25,
inference(sat_conversion,[],[f537]) ).
cnf(s27,plain,
~ spl0_26,
inference(sat_conversion,[],[f544]) ).
cnf(s28,plain,
( ~ spl0_17
| ~ spl0_27 ),
inference(sat_conversion,[],[f560]) ).
cnf(s29,plain,
( ~ spl0_14
| ~ spl0_29 ),
inference(sat_conversion,[],[f566]) ).
cnf(s30,plain,
~ spl0_15,
inference(sat_conversion,[],[f573]) ).
cnf(s31,plain,
~ spl0_18,
inference(sat_conversion,[],[f586]) ).
cnf(s33,plain,
( ~ spl0_9
| ~ spl0_16 ),
inference(sat_conversion,[],[f593]) ).
cnf(s35,plain,
~ spl0_11,
inference(sat_conversion,[],[f607]) ).
cnf(s37,plain,
~ spl0_12,
inference(sat_conversion,[],[f616]) ).
cnf(s39,plain,
~ spl0_19,
inference(sat_conversion,[],[f633]) ).
cnf(s42,plain,
~ spl0_30,
inference(sat_conversion,[],[f657]) ).
cnf(s44,plain,
( ~ spl0_5
| ~ spl0_28 ),
inference(sat_conversion,[],[f664]) ).
cnf(s45,plain,
~ spl0_6,
inference(sat_conversion,[],[f672]) ).
cnf(s47,plain,
~ spl0_8,
inference(sat_conversion,[],[f681]) ).
cnf(s51,plain,
( ~ spl0_7
| ~ spl0_22 ),
inference(sat_conversion,[],[f701]) ).
cnf(s52,plain,
~ spl0_23,
inference(sat_conversion,[],[f709]) ).
cnf(s54,plain,
~ spl0_24,
inference(sat_conversion,[],[f718]) ).
cnf(s57,plain,
~ spl0_31,
inference(sat_conversion,[],[f732]) ).
cnf(s60,plain,
( ~ spl0_7
| ~ spl0_32 ),
inference(sat_conversion,[],[f751]) ).
cnf(s62,plain,
( ~ spl0_2
| ~ spl0_33 ),
inference(sat_conversion,[],[f757]) ).
cnf(s63,plain,
( ~ spl0_3
| ~ spl0_21 ),
inference(sat_conversion,[],[f772]) ).
cnf(s65,plain,
~ spl0_4,
inference(sat_conversion,[],[f781]) ).
cnf(s66,plain,
~ spl0_1,
inference(sat_conversion,[],[f788]) ).
cnf(s67,plain,
~ spl0_34,
inference(sat_conversion,[],[f810]) ).
cnf(s73,plain,
( ~ spl0_10
| ~ spl0_35 ),
inference(sat_conversion,[],[f834]) ).
cnf(s74,plain,
~ spl0_36,
inference(sat_conversion,[],[f843]) ).
cnf(s79,plain,
( ~ spl0_10
| ~ spl0_20 ),
inference(sat_conversion,[],[f870]) ).
cnf(s81,plain,
( ~ spl0_22
| ~ spl0_32 ),
inference(sat_conversion,[],[f901]) ).
cnf(s83,plain,
( ~ spl0_20
| ~ spl0_35 ),
inference(sat_conversion,[],[f923]) ).
cnf(s85,plain,
( spl0_33
| spl0_35 ),
inference(rat,[],[s9,s74,s67]) ).
cnf(s86,plain,
( spl0_29
| spl0_32 ),
inference(rat,[],[s8,s57,s42]) ).
cnf(s87,plain,
( spl0_27
| spl0_28 ),
inference(rat,[],[s7,s27,s26]) ).
cnf(s88,plain,
( spl0_21
| spl0_22 ),
inference(rat,[],[s6,s54,s52]) ).
cnf(s89,plain,
( spl0_17
| spl0_20 ),
inference(rat,[],[s5,s39,s31]) ).
cnf(s90,plain,
( spl0_14
| spl0_16 ),
inference(rat,[],[s4,s30,s22]) ).
cnf(s91,plain,
( spl0_9
| spl0_10 ),
inference(rat,[],[s3,s37,s35]) ).
cnf(s92,plain,
( spl0_5
| spl0_7 ),
inference(rat,[],[s2,s47,s45]) ).
cnf(s93,plain,
( spl0_2
| spl0_3 ),
inference(rat,[],[s1,s65,s66]) ).
cnf(s94,plain,
~ spl0_22,
inference(rat,[],[s79,s89,s91,s28,s33,s87,s90,s44,s29,s92,s86,s51,s81]) ).
cnf(s95,plain,
spl0_21,
inference(rat,[],[s88,s94]) ).
cnf(s96,plain,
~ spl0_3,
inference(rat,[],[s63,s95]) ).
cnf(s97,plain,
spl0_2,
inference(rat,[],[s93,s96]) ).
cnf(s98,plain,
~ spl0_33,
inference(rat,[],[s62,s97]) ).
cnf(s99,plain,
spl0_35,
inference(rat,[],[s85,s98]) ).
cnf(s100,plain,
~ spl0_20,
inference(rat,[],[s83,s99]) ).
cnf(s101,plain,
~ spl0_10,
inference(rat,[],[s73,s99]) ).
cnf(s103,plain,
spl0_17,
inference(rat,[],[s89,s100]) ).
cnf(s104,plain,
spl0_9,
inference(rat,[],[s91,s101]) ).
cnf(s105,plain,
~ spl0_27,
inference(rat,[],[s28,s103]) ).
cnf(s106,plain,
~ spl0_16,
inference(rat,[],[s33,s104]) ).
cnf(s107,plain,
spl0_28,
inference(rat,[],[s87,s105]) ).
cnf(s108,plain,
spl0_14,
inference(rat,[],[s90,s106]) ).
cnf(s109,plain,
~ spl0_5,
inference(rat,[],[s44,s107]) ).
cnf(s110,plain,
~ spl0_29,
inference(rat,[],[s29,s108]) ).
cnf(s111,plain,
spl0_7,
inference(rat,[],[s92,s109]) ).
cnf(s112,plain,
spl0_32,
inference(rat,[],[s86,s110]) ).
cnf(s113,plain,
$false,
inference(rat,[],[s60,s112,s111]) ).
fof(f924,plain,
$false,
inference(avatar_sat_refutation,[],[s113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP124-7.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n015.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 09:24:45 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.12/0.46 % (1394651)Will run a generic schedule for satisfiability detection.
% 0.12/0.46 % (1394661)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3345130789:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.46 % (1394657)% WARNING: option uhcvi not known.
% 0.12/0.46 % (1394656)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3763916165_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.46 % (1394661) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1394651-1394661"...
% 0.12/0.46 % (1394658)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=126503375:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.46 % (1394657)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2019700015:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.46 % (1394659)dis+10_1_sil=32000:sp=arity:random_seed=1255800635:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.46 % (1394660)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3250540627:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.46 % (1394662)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1014332248:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.46 % Detected minimum model sizes of [1]
% 0.12/0.46 % Detected maximum model sizes of [4]
% 0.12/0.46 % TRYING [1]
% 0.12/0.46 % TRYING [2]
% 0.12/0.46 % (1394661)...printing done.
% 0.12/0.46 % TRYING [3]
% 0.12/0.46 % (1394661)Refutation found. Thanks to Tanya!
% 0.12/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.46 % (1394661)------------------------------
% 0.18/0.46 % (1394661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.46 % (1394661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.46 % (1394661)CaDiCaL version: 2.1.3
% 0.18/0.46 % (1394661)Termination reason: Refutation
% 0.18/0.46 % (1394661)Time elapsed: 0.008 s
% 0.18/0.46 % (1394661)Peak memory usage: 12 MB
% 0.18/0.46 % (1394661)Instructions burned: 21 (million)
% 0.18/0.46 % (1394651)Success in time 0.042 s
% 0.18/0.46 % Vampire exiting
%------------------------------------------------------------------------------