%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP126-1.004 : 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 : n008.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 10:12:44 AM UTC 2026
% Result : Unsatisfiable 3.05s 1.35s
% Output : Refutation 3.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 35
% Syntax : Number of formulae : 215 ( 45 unt; 19 def)
% Number of atoms : 645 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 677 ( 247 ~; 411 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 20 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 81 ( 0 sgn 81 !; 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(f4,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_4) ).
fof(f5,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f6,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f7,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
fof(f9,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f10,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
fof(f13,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
fof(f17,axiom,
! [X0,X1] :
( product(X0,X1,e_4)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| ~ group_element(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
fof(f18,axiom,
! [X2,X3,X0,X1] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
fof(f19,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(f20,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(f21,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).
fof(f22,negated_conjecture,
! [X2,X3,X0,X1] :
( product(X2,X3,X1)
| ~ product(X1,X0,X3)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4) ).
fof(f23,plain,
! [X0,X1] :
( ~ product(e_2,X0,X1)
| ~ product(e_1,X0,X1) ),
inference(resolution,[],[f5,f20]) ).
fof(f24,plain,
! [X0,X1] :
( ~ product(X0,e_2,X1)
| ~ product(X0,e_1,X1) ),
inference(resolution,[],[f5,f19]) ).
fof(f25,plain,
! [X0,X1] :
( ~ product(X0,X1,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[],[f5,f18]) ).
fof(f26,plain,
! [X0,X1] :
( ~ product(e_3,X0,X1)
| ~ product(e_1,X0,X1) ),
inference(resolution,[],[f6,f20]) ).
fof(f27,plain,
! [X0,X1] :
( ~ product(X0,e_3,X1)
| ~ product(X0,e_1,X1) ),
inference(resolution,[],[f6,f19]) ).
fof(f29,plain,
! [X0,X1] :
( ~ product(e_4,X0,X1)
| ~ product(e_1,X0,X1) ),
inference(resolution,[],[f7,f20]) ).
fof(f30,plain,
! [X0,X1] :
( ~ product(X0,e_4,X1)
| ~ product(X0,e_1,X1) ),
inference(resolution,[],[f7,f19]) ).
fof(f35,plain,
! [X0,X1] :
( ~ product(e_3,X0,X1)
| ~ product(e_2,X0,X1) ),
inference(resolution,[],[f9,f20]) ).
fof(f36,plain,
! [X0,X1] :
( ~ product(X0,e_3,X1)
| ~ product(X0,e_2,X1) ),
inference(resolution,[],[f9,f19]) ).
fof(f38,plain,
! [X0,X1] :
( ~ product(e_4,X0,X1)
| ~ product(e_2,X0,X1) ),
inference(resolution,[],[f10,f20]) ).
fof(f39,plain,
! [X0,X1] :
( ~ product(X0,e_4,X1)
| ~ product(X0,e_2,X1) ),
inference(resolution,[],[f10,f19]) ).
fof(f47,plain,
! [X0,X1] :
( ~ product(e_4,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[],[f13,f20]) ).
fof(f48,plain,
! [X0,X1] :
( ~ product(X0,e_4,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[],[f13,f19]) ).
fof(f61,plain,
~ product(e_1,e_2,e_2),
inference(resolution,[],[f23,f21]) ).
fof(f64,plain,
! [X0] :
( ~ product(X0,e_1,e_4)
| ~ group_element(e_2)
| product(X0,e_2,e_1)
| product(X0,e_2,e_2)
| product(X0,e_2,e_3)
| ~ group_element(X0) ),
inference(resolution,[],[f24,f17]) ).
fof(f66,plain,
! [X0] :
( ~ product(X0,e_1,e_4)
| product(X0,e_2,e_1)
| product(X0,e_2,e_2)
| product(X0,e_2,e_3)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[],[f64,f2]) ).
fof(f76,definition,
( spl0_2
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f78,plain,
( ~ product(e_1,e_2,e_2)
| spl0_2 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,e_1)
| ~ product(e_2,X2,X1)
| ~ product(X2,e_2,X0) ),
inference(resolution,[],[f25,f22]) ).
fof(f84,plain,
! [X0] :
( ~ product(e_1,X0,e_4)
| ~ group_element(X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| ~ group_element(e_3) ),
inference(resolution,[],[f26,f17]) ).
fof(f85,plain,
~ product(e_1,e_3,e_3),
inference(resolution,[],[f26,f21]) ).
fof(f86,plain,
! [X0] :
( ~ product(e_1,X0,e_4)
| ~ group_element(X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3) ),
inference(forward_subsumption_resolution,[],[f84,f3]) ).
fof(f90,plain,
~ product(e_3,e_1,e_3),
inference(resolution,[],[f27,f21]) ).
fof(f97,definition,
( spl0_3
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f101,definition,
( spl0_4
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f102,plain,
( ~ product(e_1,e_2,e_1)
| spl0_4 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f103,plain,
( product(e_1,e_2,e_1)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f112,plain,
! [X2,X0,X1] :
( ~ product(e_1,X0,X1)
| ~ product(X1,X2,X0)
| ~ product(X2,X1,e_4) ),
inference(resolution,[],[f29,f22]) ).
fof(f144,plain,
! [X0] :
( ~ product(X0,e_2,e_4)
| ~ group_element(e_3)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(X0,e_3,e_3)
| ~ group_element(X0) ),
inference(resolution,[],[f36,f17]) ).
fof(f145,plain,
~ product(e_3,e_2,e_3),
inference(resolution,[],[f36,f21]) ).
fof(f146,plain,
! [X0] :
( ~ product(X0,e_2,e_4)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(X0,e_3,e_3)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[],[f144,f3]) ).
fof(f148,plain,
! [X0] :
( ~ product(e_2,X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[],[f80,f21]) ).
fof(f154,plain,
~ product(e_2,e_2,e_1),
inference(factoring,[],[f148]) ).
fof(f159,plain,
! [X0] :
( ~ product(e_1,X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[],[f154,f22]) ).
fof(f160,plain,
! [X2,X0,X1] :
( ~ product(X0,e_2,X1)
| ~ product(X1,X2,e_4)
| ~ product(X2,X1,X0) ),
inference(resolution,[],[f39,f22]) ).
fof(f174,definition,
( spl0_6
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f176,plain,
( ~ product(e_3,e_1,e_3)
| spl0_6 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f178,definition,
( spl0_7
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f180,plain,
( ~ product(e_1,e_3,e_3)
| spl0_7 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f189,definition,
( spl0_8
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f190,plain,
( ~ product(e_1,e_3,e_2)
| spl0_8 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f191,plain,
( product(e_1,e_3,e_2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f193,definition,
( spl0_9
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f195,plain,
( product(e_1,e_3,e_1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f240,plain,
! [X0,X1] :
( ~ product(e_4,X0,X1)
| ~ product(X0,e_4,e_4)
| ~ group_element(X1)
| product(e_1,X1,e_1)
| product(e_1,X1,e_2)
| product(e_1,X1,e_3)
| ~ group_element(e_1) ),
inference(resolution,[],[f112,f17]) ).
fof(f253,plain,
! [X0,X1] :
( ~ product(X0,e_4,e_4)
| ~ product(e_4,X0,X1)
| ~ group_element(X1)
| product(e_1,X1,e_1)
| product(e_1,X1,e_2)
| product(e_1,X1,e_3) ),
inference(forward_subsumption_resolution,[],[f240,f1]) ).
fof(f295,definition,
( spl0_16
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f297,plain,
( ~ product(e_3,e_2,e_3)
| spl0_16 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f308,definition,
( spl0_18
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f310,plain,
( product(e_1,e_4,e_3)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f312,definition,
( spl0_19
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f314,plain,
( product(e_1,e_4,e_2)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f316,definition,
( spl0_20
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f317,plain,
( ~ product(e_1,e_4,e_1)
| spl0_20 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f318,plain,
( product(e_1,e_4,e_1)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f340,definition,
( spl0_22
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f341,plain,
( product(e_3,e_2,e_2)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f342,plain,
( ~ product(e_3,e_2,e_2)
| spl0_22 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f358,plain,
! [X0,X1] :
( ~ product(e_4,X0,e_4)
| ~ product(X0,e_4,X1)
| ~ group_element(e_2)
| product(X1,e_2,e_1)
| product(X1,e_2,e_2)
| product(X1,e_2,e_3)
| ~ group_element(X1) ),
inference(resolution,[],[f160,f17]) ).
fof(f362,plain,
! [X0,X1] :
( ~ product(e_4,X0,e_4)
| ~ product(X0,e_4,X1)
| product(X1,e_2,e_1)
| product(X1,e_2,e_2)
| product(X1,e_2,e_3)
| ~ group_element(X1) ),
inference(forward_subsumption_resolution,[],[f358,f2]) ).
fof(f370,definition,
( spl0_23
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f371,plain,
( product(e_4,e_2,e_2)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f372,plain,
( ~ product(e_4,e_2,e_2)
| spl0_23 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f424,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f61,f76]) ).
fof(f428,plain,
~ spl0_7,
inference(avatar_split_clause,[],[f85,f178]) ).
fof(f436,plain,
( ~ product(e_3,e_1,e_2)
| ~ spl0_8 ),
inference(resolution,[],[f191,f159]) ).
fof(f463,definition,
( spl0_28
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f464,plain,
( ~ product(e_3,e_1,e_2)
| spl0_28 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f465,plain,
( product(e_3,e_1,e_2)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f467,definition,
( spl0_29
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f468,plain,
( ~ product(e_3,e_1,e_1)
| spl0_29 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f469,plain,
( product(e_3,e_1,e_1)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f473,plain,
~ spl0_6,
inference(avatar_split_clause,[],[f90,f174]) ).
fof(f548,definition,
( spl0_36
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f549,plain,
( ~ product(e_4,e_2,e_3)
| spl0_36 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f550,plain,
( product(e_4,e_2,e_3)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f552,definition,
( spl0_37
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f553,plain,
( ~ product(e_4,e_2,e_1)
| spl0_37 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f554,plain,
( product(e_4,e_2,e_1)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f565,plain,
( ~ product(e_2,e_2,e_2)
| ~ spl0_23 ),
inference(resolution,[],[f371,f38]) ).
fof(f570,plain,
( $false
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f565,f21]) ).
fof(f571,plain,
~ spl0_23,
inference(avatar_contradiction_clause,[],[f570]) ).
fof(f625,plain,
! [X0] :
( product(X0,e_2,e_1)
| product(X0,e_2,e_2)
| product(X0,e_2,e_3)
| ~ group_element(X0)
| ~ group_element(e_1)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2)
| product(X0,e_1,e_3)
| ~ group_element(X0) ),
inference(resolution,[],[f66,f17]) ).
fof(f627,plain,
! [X0] :
( product(X0,e_2,e_1)
| product(X0,e_2,e_2)
| product(X0,e_2,e_3)
| ~ group_element(X0)
| ~ group_element(e_1)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2)
| product(X0,e_1,e_3) ),
inference(duplicate_literal_removal,[],[f625]) ).
fof(f628,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_2,e_2)
| product(X0,e_2,e_3)
| product(X0,e_2,e_1)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2)
| product(X0,e_1,e_3) ),
inference(forward_subsumption_resolution,[],[f627,f1]) ).
fof(f630,plain,
! [X0] :
( ~ group_element(X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| ~ group_element(X0)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3)
| ~ group_element(e_1) ),
inference(resolution,[],[f86,f17]) ).
fof(f632,plain,
! [X0] :
( ~ group_element(X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3)
| ~ group_element(e_1) ),
inference(duplicate_literal_removal,[],[f630]) ).
fof(f633,plain,
! [X0] :
( ~ group_element(X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3) ),
inference(forward_subsumption_resolution,[],[f632,f1]) ).
fof(f643,plain,
( ~ product(e_1,e_2,e_3)
| ~ spl0_36 ),
inference(resolution,[],[f550,f29]) ).
fof(f647,plain,
( ~ spl0_3
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f643,f548,f97]) ).
fof(f669,plain,
! [X0] :
( product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(X0,e_3,e_3)
| ~ group_element(X0)
| ~ group_element(e_2)
| product(X0,e_2,e_1)
| product(X0,e_2,e_2)
| product(X0,e_2,e_3)
| ~ group_element(X0) ),
inference(resolution,[],[f146,f17]) ).
fof(f671,plain,
! [X0] :
( product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(X0,e_3,e_3)
| ~ group_element(X0)
| ~ group_element(e_2)
| product(X0,e_2,e_1)
| product(X0,e_2,e_2)
| product(X0,e_2,e_3) ),
inference(duplicate_literal_removal,[],[f669]) ).
fof(f672,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_3,e_2)
| product(X0,e_3,e_3)
| product(X0,e_3,e_1)
| product(X0,e_2,e_1)
| product(X0,e_2,e_2)
| product(X0,e_2,e_3) ),
inference(forward_subsumption_resolution,[],[f671,f2]) ).
fof(f706,plain,
( ~ product(e_1,e_2,e_3)
| ~ spl0_18 ),
inference(resolution,[],[f310,f39]) ).
fof(f854,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_20 ),
inference(resolution,[],[f318,f30]) ).
fof(f855,plain,
( $false
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f854,f21]) ).
fof(f856,plain,
~ spl0_20,
inference(avatar_contradiction_clause,[],[f855]) ).
fof(f954,plain,
( ~ product(e_3,e_2,e_1)
| ~ spl0_37 ),
inference(resolution,[],[f554,f47]) ).
fof(f999,plain,
( ~ product(e_1,e_3,e_2)
| ~ spl0_19 ),
inference(resolution,[],[f314,f48]) ).
fof(f1217,plain,
( ~ product(e_4,e_4,e_4)
| ~ group_element(e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(factoring,[],[f253]) ).
fof(f1234,plain,
( ~ product(e_4,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| ~ group_element(e_4) ),
inference(factoring,[],[f362]) ).
fof(f1317,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(resolution,[],[f628,f3]) ).
fof(f1319,plain,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f1317,f342]) ).
fof(f1320,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| spl0_16
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f1319,f297]) ).
fof(f1321,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| spl0_16
| spl0_22
| spl0_29 ),
inference(forward_subsumption_resolution,[],[f1320,f468]) ).
fof(f1322,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_1,e_3)
| spl0_16
| spl0_22
| spl0_28
| spl0_29 ),
inference(forward_subsumption_resolution,[],[f1321,f464]) ).
fof(f1323,plain,
( product(e_3,e_2,e_1)
| spl0_6
| spl0_16
| spl0_22
| spl0_28
| spl0_29 ),
inference(forward_subsumption_resolution,[],[f1322,f176]) ).
fof(f1350,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(resolution,[],[f633,f2]) ).
fof(f1366,plain,
( ~ spl0_8
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f999,f312,f189]) ).
fof(f1369,plain,
( $false
| spl0_6
| spl0_16
| spl0_22
| spl0_28
| spl0_29
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f954,f1323]) ).
fof(f1370,plain,
( spl0_6
| spl0_16
| spl0_22
| spl0_28
| spl0_29
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f1369]) ).
fof(f1373,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| ~ group_element(e_4) ),
inference(forward_subsumption_resolution,[],[f1234,f21]) ).
fof(f1380,plain,
( ~ group_element(e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(forward_subsumption_resolution,[],[f1217,f21]) ).
fof(f1384,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_3)
| ~ group_element(e_4)
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f1373,f372]) ).
fof(f1391,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(forward_subsumption_resolution,[],[f1380,f4]) ).
fof(f1395,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_3)
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f1384,f4]) ).
fof(f1402,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f1391,f317]) ).
fof(f1405,plain,
( spl0_36
| spl0_37
| spl0_23 ),
inference(avatar_split_clause,[],[f1395,f370,f552,f548]) ).
fof(f1408,plain,
( spl0_18
| spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f1402,f316,f312,f308]) ).
fof(f1424,definition,
( spl0_43
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f1438,plain,
( ~ product(e_2,e_2,e_2)
| ~ spl0_22 ),
inference(resolution,[],[f341,f35]) ).
fof(f1449,plain,
( $false
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1438,f21]) ).
fof(f1450,plain,
~ spl0_22,
inference(avatar_contradiction_clause,[],[f1449]) ).
fof(f1455,plain,
( ! [X0] :
( ~ product(e_3,X0,e_2)
| ~ product(X0,e_3,e_4) )
| spl0_36 ),
inference(resolution,[],[f549,f22]) ).
fof(f1467,plain,
( ~ product(e_3,e_2,e_1)
| ~ spl0_37 ),
inference(resolution,[],[f554,f47]) ).
fof(f1472,plain,
( ~ spl0_43
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f1467,f552,f1424]) ).
fof(f1551,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(resolution,[],[f672,f1]) ).
fof(f1749,plain,
( ~ product(e_1,e_3,e_4)
| ~ spl0_28
| spl0_36 ),
inference(resolution,[],[f1455,f465]) ).
fof(f1776,plain,
( ~ group_element(e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ group_element(e_1)
| ~ spl0_28
| spl0_36 ),
inference(resolution,[],[f1749,f17]) ).
fof(f1778,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ group_element(e_1)
| ~ spl0_28
| spl0_36 ),
inference(forward_subsumption_resolution,[],[f1776,f3]) ).
fof(f1785,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_3)
| ~ group_element(e_1)
| spl0_8
| ~ spl0_28
| spl0_36 ),
inference(forward_subsumption_resolution,[],[f1778,f190]) ).
fof(f1786,plain,
( product(e_1,e_3,e_1)
| ~ group_element(e_1)
| spl0_7
| spl0_8
| ~ spl0_28
| spl0_36 ),
inference(forward_subsumption_resolution,[],[f1785,f180]) ).
fof(f1787,plain,
( product(e_1,e_3,e_1)
| spl0_7
| spl0_8
| ~ spl0_28
| spl0_36 ),
inference(forward_subsumption_resolution,[],[f1786,f1]) ).
fof(f1788,plain,
( spl0_9
| spl0_7
| spl0_8
| ~ spl0_28
| spl0_36 ),
inference(avatar_split_clause,[],[f1787,f548,f463,f189,f178,f193]) ).
fof(f1799,plain,
( ~ spl0_3
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f706,f308,f97]) ).
fof(f1882,plain,
( ~ spl0_28
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f436,f189,f463]) ).
fof(f1892,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f1551,f180]) ).
fof(f1900,definition,
( spl0_45
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f1902,plain,
( ~ product(e_3,e_1,e_4)
| spl0_45 ),
inference(avatar_component_clause,[],[f1900]) ).
fof(f1906,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_3)
| spl0_2
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f1892,f78]) ).
fof(f1908,plain,
( spl0_3
| spl0_4
| spl0_9
| spl0_8
| spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f1906,f178,f76,f189,f193,f101,f97]) ).
fof(f1925,plain,
( ! [X0] :
( ~ product(e_1,X0,e_2)
| ~ product(X0,e_1,e_4) )
| spl0_37 ),
inference(resolution,[],[f553,f22]) ).
fof(f1939,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_4 ),
inference(resolution,[],[f103,f24]) ).
fof(f1940,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f1939,f21]) ).
fof(f1941,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f1940]) ).
fof(f2014,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_29 ),
inference(resolution,[],[f469,f26]) ).
fof(f2025,plain,
( $false
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f2014,f21]) ).
fof(f2026,plain,
~ spl0_29,
inference(avatar_contradiction_clause,[],[f2025]) ).
fof(f2160,plain,
( ~ product(e_3,e_1,e_4)
| ~ spl0_8
| spl0_37 ),
inference(resolution,[],[f1925,f191]) ).
fof(f2162,plain,
( ~ spl0_45
| ~ spl0_8
| spl0_37 ),
inference(avatar_split_clause,[],[f2160,f552,f189,f1900]) ).
fof(f2163,plain,
( ~ group_element(e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ group_element(e_3)
| spl0_45 ),
inference(resolution,[],[f1902,f17]) ).
fof(f2165,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ group_element(e_3)
| spl0_45 ),
inference(forward_subsumption_resolution,[],[f2163,f1]) ).
fof(f2166,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ group_element(e_3)
| spl0_29
| spl0_45 ),
inference(forward_subsumption_resolution,[],[f2165,f468]) ).
fof(f2179,plain,
( product(e_3,e_1,e_2)
| ~ group_element(e_3)
| spl0_6
| spl0_29
| spl0_45 ),
inference(forward_subsumption_resolution,[],[f2166,f176]) ).
fof(f2180,plain,
~ spl0_16,
inference(avatar_split_clause,[],[f145,f295]) ).
fof(f2182,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_3)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f1350,f342]) ).
fof(f2191,plain,
( product(e_3,e_1,e_2)
| spl0_6
| spl0_29
| spl0_45 ),
inference(forward_subsumption_resolution,[],[f2179,f3]) ).
fof(f2193,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| spl0_4
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f2182,f102]) ).
fof(f2196,plain,
( spl0_28
| spl0_6
| spl0_29
| spl0_45 ),
inference(avatar_split_clause,[],[f2191,f1900,f467,f174,f463]) ).
fof(f2198,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_3)
| product(e_1,e_2,e_3)
| spl0_2
| spl0_4
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f2193,f78]) ).
fof(f2210,plain,
( spl0_3
| spl0_16
| spl0_43
| spl0_2
| spl0_4
| spl0_22 ),
inference(avatar_split_clause,[],[f2198,f340,f101,f76,f1424,f295,f97]) ).
fof(f2263,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_9 ),
inference(resolution,[],[f195,f27]) ).
fof(f2264,plain,
( $false
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f2263,f21]) ).
fof(f2265,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f2264]) ).
cnf(s20,plain,
~ spl0_2,
inference(sat_conversion,[],[f424]) ).
cnf(s21,plain,
~ spl0_7,
inference(sat_conversion,[],[f428]) ).
cnf(s31,plain,
~ spl0_6,
inference(sat_conversion,[],[f473]) ).
cnf(s44,plain,
~ spl0_23,
inference(sat_conversion,[],[f571]) ).
cnf(s59,plain,
( ~ spl0_3
| ~ spl0_36 ),
inference(sat_conversion,[],[f647]) ).
cnf(s87,plain,
~ spl0_20,
inference(sat_conversion,[],[f856]) ).
cnf(s137,plain,
( ~ spl0_8
| ~ spl0_19 ),
inference(sat_conversion,[],[f1366]) ).
cnf(s144,plain,
( spl0_6
| spl0_16
| spl0_22
| spl0_28
| spl0_29
| ~ spl0_37 ),
inference(sat_conversion,[],[f1370]) ).
cnf(s150,plain,
( spl0_23
| spl0_36
| spl0_37 ),
inference(sat_conversion,[],[f1405]) ).
cnf(s153,plain,
( spl0_18
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f1408]) ).
cnf(s157,plain,
~ spl0_22,
inference(sat_conversion,[],[f1450]) ).
cnf(s160,plain,
( ~ spl0_37
| ~ spl0_43 ),
inference(sat_conversion,[],[f1472]) ).
cnf(s187,plain,
( spl0_7
| spl0_8
| spl0_9
| ~ spl0_28
| spl0_36 ),
inference(sat_conversion,[],[f1788]) ).
cnf(s198,plain,
( ~ spl0_3
| ~ spl0_18 ),
inference(sat_conversion,[],[f1799]) ).
cnf(s245,plain,
( ~ spl0_8
| ~ spl0_28 ),
inference(sat_conversion,[],[f1882]) ).
cnf(s257,plain,
( spl0_2
| spl0_3
| spl0_4
| spl0_7
| spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f1908]) ).
cnf(s261,plain,
~ spl0_4,
inference(sat_conversion,[],[f1941]) ).
cnf(s272,plain,
~ spl0_29,
inference(sat_conversion,[],[f2026]) ).
cnf(s280,plain,
( ~ spl0_8
| spl0_37
| ~ spl0_45 ),
inference(sat_conversion,[],[f2162]) ).
cnf(s320,plain,
~ spl0_16,
inference(sat_conversion,[],[f2180]) ).
cnf(s327,plain,
( spl0_6
| spl0_28
| spl0_29
| spl0_45 ),
inference(sat_conversion,[],[f2196]) ).
cnf(s335,plain,
( spl0_2
| spl0_3
| spl0_4
| spl0_16
| spl0_22
| spl0_43 ),
inference(sat_conversion,[],[f2210]) ).
cnf(s343,plain,
~ spl0_9,
inference(sat_conversion,[],[f2265]) ).
cnf(s348,plain,
( spl0_2
| spl0_3
| spl0_7
| spl0_8 ),
inference(rat,[],[s257,s343,s261]) ).
cnf(s373,plain,
( spl0_7
| spl0_8
| ~ spl0_28
| spl0_36 ),
inference(rat,[],[s187,s343]) ).
cnf(s388,plain,
( spl0_6
| spl0_28
| ~ spl0_37 ),
inference(rat,[],[s144,s272,s157,s320]) ).
cnf(s411,plain,
spl0_3,
inference(rat,[],[s327,s280,s245,s160,s348,s335,s272,s31,s21,s20,s261,s320,s157]) ).
cnf(s414,plain,
~ spl0_18,
inference(rat,[],[s198,s411]) ).
cnf(s415,plain,
~ spl0_36,
inference(rat,[],[s59,s411]) ).
cnf(s416,plain,
spl0_19,
inference(rat,[],[s153,s87,s414]) ).
cnf(s417,plain,
spl0_37,
inference(rat,[],[s150,s44,s415]) ).
cnf(s418,plain,
~ spl0_8,
inference(rat,[],[s137,s416]) ).
cnf(s424,plain,
spl0_28,
inference(rat,[],[s388,s31,s417]) ).
cnf(s426,plain,
$false,
inference(rat,[],[s373,s415,s21,s424,s418]) ).
fof(f2266,plain,
$false,
inference(avatar_sat_refutation,[],[s426]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP126-1.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n008.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 09:22:25 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 3.05/1.35 % (966565)Input is clausal, will run a generic CNF schedule.
% 3.05/1.35 % (966574)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1268174550:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.05/1.35 % (966574)Instruction limit reached!
% 3.05/1.35 % (966574)------------------------------
% 3.05/1.35 % (966574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/1.35 % (966574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/1.35 % (966574)CaDiCaL version: 2.1.3
% 3.05/1.35 % (966574)Termination reason: Instruction limit
% 3.05/1.35 % (966574)Termination phase: Saturation
% 3.05/1.35 % (966574)Time elapsed: 0.031 s
% 3.05/1.35 % (966574)Peak memory usage: 88 MB
% 3.05/1.35 % (966574)Instructions burned: 115 (million)
% 3.05/1.35 % (966573)lrs+10_1_sil=8000:sp=occurrence:random_seed=2549479720:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.05/1.35 % (966572)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=549652054:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.05/1.35 % (966571)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=559525693:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.05/1.35 % (966570)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=771549304:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.05/1.35 % (966575)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3656339860:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.05/1.35 % (966576)dis-21_1_sil=8000:lcm=predicate:random_seed=2130118281: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)
% 3.05/1.35 % (966575)First to succeed.
% 3.05/1.35 % (966575)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-966565"
% 3.05/1.35 % (966573)Instruction limit reached!
% 3.05/1.35 % (966573)------------------------------
% 3.05/1.35 % (966573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/1.35 % (966573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/1.35 % (966573)CaDiCaL version: 2.1.3
% 3.05/1.35 % (966573)Termination reason: Instruction limit
% 3.05/1.35 % (966573)Termination phase: Saturation
% 3.05/1.35 % (966573)Time elapsed: 0.058 s
% 3.05/1.35 % (966573)Peak memory usage: 88 MB
% 3.05/1.35 % (966573)Instructions burned: 107 (million)
% 3.05/1.35 % (966576)Instruction limit reached!
% 3.05/1.35 % (966576)------------------------------
% 3.05/1.35 % (966576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/1.35 % (966576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/1.35 % (966576)CaDiCaL version: 2.1.3
% 3.05/1.35 % (966576)Termination reason: Instruction limit
% 3.05/1.35 % (966576)Termination phase: Saturation
% 3.05/1.35 % (966576)Time elapsed: 0.075 s
% 3.05/1.35 % (966576)Peak memory usage: 88 MB
% 3.05/1.35 % (966576)Instructions burned: 117 (million)
% 3.05/1.35 % (966584)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=1886696554:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.05/1.35 % (966584)Instruction limit reached!
% 3.05/1.35 % (966584)------------------------------
% 3.05/1.35 % (966584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/1.35 % (966584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/1.35 % (966584)CaDiCaL version: 2.1.3
% 3.05/1.35 % (966584)Termination reason: Instruction limit
% 3.05/1.35 % (966584)Termination phase: Saturation
% 3.05/1.35 % (966584)Time elapsed: 0.039 s
% 3.05/1.35 % (966584)Peak memory usage: 88 MB
% 3.05/1.35 % (966584)Instructions burned: 145 (million)
% 3.05/1.35 % (966586)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3054219947:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.05/1.35 % (966585)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=42943703:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.05/1.35 % (966585)Refutation not found, incomplete strategy
% 3.05/1.35 % (966585)------------------------------
% 3.05/1.35 % (966585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/1.35 % (966585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/1.35 % (966585)CaDiCaL version: 2.1.3
% 3.05/1.35 % (966585)Termination reason: Refutation not found, incomplete strategy
% 3.05/1.35 % (966585)Time elapsed: 0.001 s
% 3.05/1.35 % (966585)Peak memory usage: 87 MB
% 3.05/1.35 % (966585)Instructions burned: 1 (million)
% 3.05/1.35 % (966575)Refutation found. Thanks to Tanya!
% 3.05/1.35 % SZS status Unsatisfiable for theBenchmark
% 3.05/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 3.92/1.45 % (966575)------------------------------
% 3.92/1.45 % (966575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.45 % (966575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.45 % (966575)CaDiCaL version: 2.1.3
% 3.92/1.45 % (966575)Termination reason: Refutation
% 3.92/1.45 % (966575)Time elapsed: 0.055 s
% 3.92/1.45 % (966575)Peak memory usage: 89 MB
% 3.92/1.45 % (966575)Instructions burned: 88 (million)
% 3.92/1.45 % (966575)------------------------------
% 3.92/1.45 % (966575)------------------------------
% 3.92/1.45 % (966565)Success in time 0.483 s
% 3.92/1.45 % Vampire exiting
%------------------------------------------------------------------------------