%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO546+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 09:52:54 AM UTC 2026
% Result : Theorem 5.78s 1.77s
% Output : Refutation 7.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 12
% Syntax : Number of formulae : 74 ( 14 unt; 0 def)
% Number of atoms : 203 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 210 ( 81 ~; 79 |; 37 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 309 ( 297 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD10) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD17) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD21) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD41) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& ~ coll(X2,X3,X0) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& coll(X2,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X5)
& eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD43) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X2,X1,X2)
& cong(X0,X3,X1,X3) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD56) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& perp(X4,X0,X1,X2)
& coll(X4,X1,X2)
& coll(X5,X2,X3)
& coll(X5,X0,X4) )
=> perp(X1,X5,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012006) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& perp(X4,X0,X1,X2)
& coll(X4,X1,X2)
& coll(X5,X2,X3)
& coll(X5,X0,X4) )
=> perp(X1,X5,X0,X2) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f10]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f110]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f120]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f40]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f41]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(flattening,[],[f155]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(flattening,[],[f180]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ perp(X1,X5,X0,X2)
& perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& perp(X4,X0,X1,X2)
& coll(X4,X1,X2)
& coll(X5,X2,X3)
& coll(X5,X0,X4) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ perp(X1,X5,X0,X2)
& perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& perp(X4,X0,X1,X2)
& coll(X4,X1,X2)
& coll(X5,X2,X3)
& coll(X5,X0,X4) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ perp(sK21,sK25,sK20,sK22)
& perp(sK23,sK22,sK20,sK21)
& coll(sK23,sK20,sK21)
& perp(sK24,sK20,sK21,sK22)
& coll(sK24,sK21,sK22)
& coll(sK25,sK22,sK23)
& coll(sK25,sK20,sK24) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25)],[f250]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f280,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f111]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f121]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f149]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f150]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f387,plain,
perp(sK24,sK20,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
~ perp(sK21,sK25,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f394,plain,
perp(sK21,sK22,sK24,sK20),
inference(resolution,[],[f278,f387]) ).
fof(f399,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X0,X1) ),
inference(resolution,[],[f311,f314]) ).
fof(f400,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) ),
inference(duplicate_literal_removal,[],[f399]) ).
fof(f415,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK24,sK20)
| para(X0,X1,sK21,sK22) ),
inference(resolution,[],[f279,f387]) ).
fof(f418,plain,
para(sK21,sK22,sK21,sK22),
inference(resolution,[],[f415,f394]) ).
fof(f451,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f291,f310]) ).
fof(f454,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f451,f312]) ).
fof(f455,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f451,f313]) ).
fof(f461,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f454,f455]) ).
fof(f463,plain,
! [X0] : cyclic(sK22,sK22,sK21,X0),
inference(resolution,[],[f461,f418]) ).
fof(f465,plain,
! [X0,X1] :
( ~ cyclic(sK22,sK22,sK21,X0)
| cyclic(sK22,sK21,X0,X1) ),
inference(resolution,[],[f463,f287]) ).
fof(f469,plain,
! [X0,X1] : cyclic(sK22,sK21,X0,X1),
inference(forward_subsumption_resolution,[],[f465,f463]) ).
fof(f473,plain,
! [X2,X0,X1] :
( ~ cyclic(sK22,sK21,X0,X1)
| cyclic(sK21,X0,X1,X2) ),
inference(resolution,[],[f469,f287]) ).
fof(f476,plain,
! [X2,X0,X1] : cyclic(sK21,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f473,f469]) ).
fof(f481,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(sK21,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f476,f287]) ).
fof(f484,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f481,f476]) ).
fof(f488,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) ),
inference(resolution,[],[f484,f400]) ).
fof(f492,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f488,f484]) ).
fof(f494,plain,
! [X0,X1] : cong(X0,X1,X0,X1),
inference(forward_subsumption_resolution,[],[f492,f484]) ).
fof(f495,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) ),
inference(resolution,[],[f494,f327]) ).
fof(f496,plain,
! [X2,X0,X1] : perp(X0,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f495,f494]) ).
fof(f497,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) ),
inference(resolution,[],[f496,f279]) ).
fof(f498,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X1,X2,X2)
| perp(X0,X1,X3,X4) ),
inference(resolution,[],[f496,f280]) ).
fof(f499,plain,
! [X2,X0,X1] : perp(X0,X1,X2,X2),
inference(resolution,[],[f496,f278]) ).
fof(f503,plain,
! [X3,X0,X1,X4] : para(X0,X1,X3,X4),
inference(forward_subsumption_resolution,[],[f497,f499]) ).
fof(f511,plain,
! [X2,X3,X0,X1] : perp(X0,X1,X2,X3),
inference(resolution,[],[f498,f503]) ).
fof(f512,plain,
$false,
inference(resolution,[],[f511,f390]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO546+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sun Sep 27 08:33:47 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.78/1.77 % (2320145)Detected formulas, will run a generic FOF schedule.
% 5.78/1.77 % (2320153)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3384488330:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.78/1.77 % (2320153)Refutation not found, incomplete strategy
% 5.78/1.77 % (2320153)------------------------------
% 5.78/1.77 % (2320153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.77 % (2320153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.77 % (2320153)CaDiCaL version: 2.1.3
% 5.78/1.77 % (2320153)Termination reason: Refutation not found, incomplete strategy
% 5.78/1.77 % (2320153)Time elapsed: 0.008 s
% 5.78/1.77 % (2320153)Peak memory usage: 88 MB
% 5.78/1.77 % (2320153)Instructions burned: 26 (million)
% 5.78/1.77 % (2320152)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=542866046:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.78/1.77 % (2320156)dis-21_1_sil=8000:lcm=predicate:random_seed=2478390304:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.78/1.77 % (2320150)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=3693917080:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.78/1.77 % (2320151)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1966686774:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.78/1.77 % (2320154)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3024292703:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.78/1.77 % (2320155)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1800735482:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.78/1.77 % (2320154)Instruction limit reached!
% 5.78/1.77 % (2320154)------------------------------
% 5.78/1.77 % (2320154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.77 % (2320154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.77 % (2320154)CaDiCaL version: 2.1.3
% 5.78/1.77 % (2320154)Termination reason: Instruction limit
% 5.78/1.77 % (2320154)Termination phase: Saturation
% 5.78/1.77 % (2320154)Time elapsed: 0.056 s
% 5.78/1.77 % (2320154)Peak memory usage: 87 MB
% 5.78/1.77 % (2320154)Instructions burned: 121 (million)
% 5.78/1.77 % (2320156)Instruction limit reached!
% 5.78/1.77 % (2320156)------------------------------
% 5.78/1.77 % (2320156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.77 % (2320156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.77 % (2320156)CaDiCaL version: 2.1.3
% 5.78/1.77 % (2320156)Termination reason: Instruction limit
% 5.78/1.77 % (2320156)Termination phase: Saturation
% 5.78/1.77 % (2320156)Time elapsed: 0.069 s
% 5.78/1.77 % (2320156)Peak memory usage: 88 MB
% 5.78/1.77 % (2320156)Instructions burned: 130 (million)
% 5.78/1.77 % (2320155)Instruction limit reached!
% 5.78/1.77 % (2320155)------------------------------
% 5.78/1.77 % (2320155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.77 % (2320155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.77 % (2320155)CaDiCaL version: 2.1.3
% 5.78/1.77 % (2320155)Termination reason: Instruction limit
% 5.78/1.77 % (2320155)Termination phase: Saturation
% 5.78/1.77 % (2320155)Time elapsed: 0.091 s
% 5.78/1.77 % (2320155)Peak memory usage: 90 MB
% 5.78/1.77 % (2320155)Instructions burned: 140 (million)
% 5.78/1.77 % (2320153)------------------------------
% 5.78/1.77 % (2320153)------------------------------
% 5.78/1.77 % (2320164)lrs+10_1_sil=8000:sp=occurrence:random_seed=2268320911:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.78/1.77 % (2320165)lrs+10_1_sil=32000:urr=on:br=off:random_seed=135374672:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.78/1.77 % (2320167)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1714819116:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.78/1.77 % (2320166)lrs+1011_1_sil=32000:sp=occurrence:random_seed=319117325:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.78/1.77 % (2320165)Refutation not found, incomplete strategy
% 5.78/1.77 % (2320165)------------------------------
% 5.78/1.77 % (2320165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.77 % (2320165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.77 % (2320165)CaDiCaL version: 2.1.3
% 5.78/1.77 % (2320165)Termination reason: Refutation not found, incomplete strategy
% 5.78/1.77 % (2320165)Time elapsed: 0.020 s
% 5.78/1.77 % (2320165)Peak memory usage: 88 MB
% 5.78/1.77 % (2320165)Instructions burned: 40 (million)
% 5.78/1.77 % (2320167)Instruction limit reached!
% 5.78/1.77 % (2320167)------------------------------
% 5.78/1.77 % (2320167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.77 % (2320167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.77 % (2320167)CaDiCaL version: 2.1.3
% 5.78/1.77 % (2320167)Termination reason: Instruction limit
% 5.78/1.77 % (2320167)Termination phase: Saturation
% 5.78/1.77 % (2320167)Time elapsed: 0.073 s
% 5.78/1.77 % (2320167)Peak memory usage: 90 MB
% 5.78/1.77 % (2320167)Instructions burned: 251 (million)
% 5.78/1.77 % (2320164)Instruction limit reached!
% 5.78/1.77 % (2320164)------------------------------
% 5.78/1.77 % (2320164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.77 % (2320164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.77 % (2320164)CaDiCaL version: 2.1.3
% 5.78/1.77 % (2320164)Termination reason: Instruction limit
% 5.78/1.77 % (2320164)Termination phase: Saturation
% 5.78/1.77 % (2320164)Time elapsed: 0.162 s
% 5.78/1.77 % (2320164)Peak memory usage: 92 MB
% 5.78/1.77 % (2320164)Instructions burned: 286 (million)
% 5.78/1.77 % (2320172)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=670412247:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.78/1.77 % (2320166)Instruction limit reached!
% 5.78/1.77 % (2320166)------------------------------
% 5.78/1.77 % (2320166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.77 % (2320166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.77 % (2320166)CaDiCaL version: 2.1.3
% 5.78/1.77 % (2320166)Termination reason: Instruction limit
% 5.78/1.77 % (2320166)Termination phase: Saturation
% 5.78/1.77 % (2320166)Time elapsed: 0.191 s
% 5.78/1.77 % (2320166)Peak memory usage: 90 MB
% 5.78/1.77 % (2320166)Instructions burned: 325 (million)
% 5.78/1.77 % (2320165)------------------------------
% 5.78/1.77 % (2320165)------------------------------
% 5.78/1.77 % (2320172)Instruction limit reached!
% 5.78/1.77 % (2320172)------------------------------
% 5.78/1.77 % (2320172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.77 % (2320172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.77 % (2320172)CaDiCaL version: 2.1.3
% 5.78/1.77 % (2320172)Termination reason: Instruction limit
% 5.78/1.77 % (2320172)Termination phase: Saturation
% 5.78/1.77 % (2320172)Time elapsed: 0.091 s
% 5.78/1.77 % (2320172)Peak memory usage: 89 MB
% 5.78/1.77 % (2320172)Instructions burned: 294 (million)
% 5.78/1.77 % (2320173)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=303659640:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.78/1.77 % (2320175)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1532927652:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.78/1.77 % (2320150)First to succeed.
% 5.78/1.77 % (2320150)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2320145"
% 5.78/1.77 % (2320176)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=604348252:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.78/1.77 % (2320175)Instruction limit reached!
% 5.78/1.77 % (2320175)------------------------------
% 5.78/1.77 % (2320175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.77 % (2320175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.77 % (2320175)CaDiCaL version: 2.1.3
% 5.78/1.77 % (2320175)Termination reason: Instruction limit
% 5.78/1.77 % (2320175)Termination phase: Saturation
% 5.78/1.77 % (2320175)Time elapsed: 0.063 s
% 5.78/1.77 % (2320175)Peak memory usage: 89 MB
% 5.78/1.77 % (2320175)Instructions burned: 113 (million)
% 5.78/1.77 % (2320177)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=783131753:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 5.78/1.77 % (2320176)Instruction limit reached!
% 5.78/1.77 % (2320176)------------------------------
% 5.78/1.77 % (2320176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.77 % (2320176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.77 % (2320176)CaDiCaL version: 2.1.3
% 5.78/1.77 % (2320176)Termination reason: Instruction limit
% 5.78/1.77 % (2320176)Termination phase: Saturation
% 5.78/1.77 % (2320176)Time elapsed: 0.070 s
% 5.78/1.77 % (2320176)Peak memory usage: 89 MB
% 5.78/1.77 % (2320176)Instructions burned: 127 (million)
% 5.78/1.77 % (2320177)Instruction limit reached!
% 5.78/1.77 % (2320177)------------------------------
% 5.78/1.77 % (2320177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.77 % (2320177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.77 % (2320177)CaDiCaL version: 2.1.3
% 5.78/1.77 % (2320177)Termination reason: Instruction limit
% 5.78/1.77 % (2320177)Termination phase: Saturation
% 5.78/1.77 % (2320177)Time elapsed: 0.059 s
% 5.78/1.77 % (2320177)Peak memory usage: 89 MB
% 5.78/1.77 % (2320177)Instructions burned: 114 (million)
% 5.78/1.77 % (2320150)Refutation found. Thanks to Tanya!
% 5.78/1.77 % SZS status Theorem for theBenchmark
% 5.78/1.77 % SZS output start Proof for theBenchmark
% See solution above
% 7.12/1.96 % (2320150)------------------------------
% 7.12/1.96 % (2320150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.12/1.96 % (2320150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/1.96 % (2320150)CaDiCaL version: 2.1.3
% 7.12/1.96 % (2320150)Termination reason: Refutation
% 7.12/1.96 % (2320150)Time elapsed: 0.596 s
% 7.12/1.96 % (2320150)Peak memory usage: 128 MB
% 7.12/1.96 % (2320150)Instructions burned: 985 (million)
% 7.12/1.96 % (2320150)------------------------------
% 7.12/1.96 % (2320150)------------------------------
% 7.12/1.96 % (2320145)Success in time 0.927 s
% 7.12/1.96 % Vampire exiting
%------------------------------------------------------------------------------