%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO092-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 09:51:31 AM UTC 2026
% Result : Unsatisfiable 24.83s 4.34s
% Output : Refutation 25.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 29
% Syntax : Number of formulae : 128 ( 26 unt; 1 def)
% Number of atoms : 377 ( 37 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 421 ( 172 ~; 249 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 140 ( 140 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ incident_c(X2,X0)
| ~ part_of(X0,X1)
| incident_c(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn_1) ).
fof(f2,axiom,
! [X0,X1] :
( incident_c(ax0_sk1(X0,X1),X0)
| part_of(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn_2) ).
fof(f3,axiom,
! [X0,X1] :
( ~ incident_c(ax0_sk1(X0,X1),X1)
| part_of(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn_3) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( X0 != sum(X1,X2)
| ~ incident_c(X3,X0)
| incident_c(X3,X1)
| incident_c(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_defn_4) ).
fof(f5,plain,
! [X2,X3,X0,X1] :
( sum(X1,X2) != X0
| ~ incident_c(X3,X0)
| incident_c(X3,X1)
| incident_c(X3,X2) ),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( X0 != sum(X1,X2)
| ~ incident_c(X3,X1)
| incident_c(X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_defn_5) ).
fof(f7,plain,
! [X2,X3,X0,X1] :
( sum(X1,X2) != X0
| ~ incident_c(X3,X1)
| incident_c(X3,X0) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( X0 != sum(X1,X2)
| ~ incident_c(X3,X2)
| incident_c(X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_defn_6) ).
fof(f9,plain,
! [X2,X3,X0,X1] :
( sum(X1,X2) != X0
| ~ incident_c(X3,X2)
| incident_c(X3,X0) ),
inference(reorient_equations,[],[f8]) ).
fof(f22,axiom,
! [X0,X1] :
( ~ end_point(X0,X1)
| incident_c(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_13) ).
fof(f23,axiom,
! [X2,X3,X0,X1] :
( ~ end_point(X0,X1)
| ~ part_of(X2,X1)
| ~ part_of(X3,X1)
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X3)
| part_of(X2,X3)
| part_of(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_14) ).
fof(f24,axiom,
! [X0,X1] :
( part_of(ax0_sk3(X1,X0),X1)
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_15) ).
fof(f25,axiom,
! [X0,X1] :
( part_of(ax0_sk4(X1,X0),X1)
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_16) ).
fof(f26,axiom,
! [X0,X1] :
( incident_c(X0,ax0_sk3(X1,X0))
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_17) ).
fof(f27,axiom,
! [X0,X1] :
( incident_c(X0,ax0_sk4(X1,X0))
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_18) ).
fof(f28,axiom,
! [X0,X1] :
( ~ part_of(ax0_sk3(X1,X0),ax0_sk4(X1,X0))
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_19) ).
fof(f29,axiom,
! [X0,X1] :
( ~ part_of(ax0_sk4(X1,X0),ax0_sk3(X1,X0))
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_20) ).
fof(f30,axiom,
! [X0,X1] :
( ~ inner_point(X0,X1)
| incident_c(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_point_defn_21) ).
fof(f31,axiom,
! [X0,X1] :
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_point_defn_22) ).
fof(f33,axiom,
! [X2,X0,X1] :
( ~ meet(X0,X1,X2)
| incident_c(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_defn_24) ).
fof(f34,axiom,
! [X2,X0,X1] :
( ~ meet(X0,X1,X2)
| incident_c(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_defn_25) ).
fof(f35,axiom,
! [X2,X3,X0,X1] :
( ~ meet(X0,X1,X2)
| ~ incident_c(X3,X1)
| ~ incident_c(X3,X2)
| end_point(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_defn_26) ).
fof(f36,axiom,
! [X2,X3,X0,X1] :
( ~ meet(X0,X1,X2)
| ~ incident_c(X3,X1)
| ~ incident_c(X3,X2)
| end_point(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_defn_27) ).
fof(f42,axiom,
! [X0] :
( end_point(ax0_sk7(X0),X0)
| ~ open(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',open_defn_33) ).
fof(f46,axiom,
! [X0] : inner_point(ax0_sk8(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3_37) ).
fof(f50,axiom,
! [X2,X3,X0,X1] :
( ~ end_point(X3,X1)
| ~ end_point(X2,X1)
| ~ end_point(X0,X1)
| X0 = X2
| X0 = X3
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c5_40) ).
fof(f66,negated_conjecture,
meet(sk16,sk14,sk15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_1_67) ).
fof(f67,negated_conjecture,
open(sum(sk14,sk15)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_1_68) ).
fof(f68,negated_conjecture,
sk17 != sk16,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_1_69) ).
fof(f69,plain,
sk16 != sk17,
inference(reorient_equations,[],[f68]) ).
fof(f70,negated_conjecture,
incident_c(sk17,sk14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_1_70) ).
fof(f71,negated_conjecture,
incident_c(sk17,sk15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_1_71) ).
fof(f72,plain,
! [X2,X3,X1] :
( ~ incident_c(X3,sum(X1,X2))
| incident_c(X3,X1)
| incident_c(X3,X2) ),
inference(equality_resolution,[],[f5]) ).
fof(f73,plain,
! [X2,X3,X1] :
( incident_c(X3,sum(X1,X2))
| ~ incident_c(X3,X1) ),
inference(equality_resolution,[],[f7]) ).
fof(f74,plain,
! [X2,X3,X1] :
( incident_c(X3,sum(X1,X2))
| ~ incident_c(X3,X2) ),
inference(equality_resolution,[],[f9]) ).
fof(f76,definition,
sF0 = sum(sk14,sk15),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f77,plain,
sum(sk14,sk15) = sF0,
inference(reorient_equations,[],[f76]) ).
fof(f78,plain,
open(sF0),
inference(definition_folding,[],[f67,f77]) ).
fof(f85,plain,
! [X0] :
( ~ incident_c(X0,sF0)
| incident_c(X0,sk14)
| incident_c(X0,sk15) ),
inference(superposition,[],[f72,f77]) ).
fof(f87,plain,
! [X0] :
( ~ incident_c(X0,sk15)
| ~ incident_c(X0,sk14)
| end_point(X0,sk14) ),
inference(resolution,[],[f35,f66]) ).
fof(f88,plain,
! [X0] :
( ~ incident_c(X0,sk15)
| ~ incident_c(X0,sk14)
| end_point(X0,sk15) ),
inference(resolution,[],[f36,f66]) ).
fof(f89,plain,
( ~ incident_c(sk17,sk14)
| end_point(sk17,sk15) ),
inference(resolution,[],[f88,f71]) ).
fof(f90,plain,
end_point(sk17,sk15),
inference(forward_subsumption_resolution,[],[f89,f70]) ).
fof(f91,plain,
( ~ incident_c(sk17,sk14)
| end_point(sk17,sk14) ),
inference(resolution,[],[f87,f71]) ).
fof(f92,plain,
end_point(sk17,sk14),
inference(forward_subsumption_resolution,[],[f91,f70]) ).
fof(f104,plain,
! [X2,X0,X1] :
( ~ incident_c(ax0_sk1(X0,sum(X1,X2)),X2)
| part_of(X0,sum(X1,X2)) ),
inference(resolution,[],[f3,f74]) ).
fof(f105,plain,
! [X2,X0,X1] :
( ~ incident_c(ax0_sk1(X0,sum(X1,X2)),X1)
| part_of(X0,sum(X1,X2)) ),
inference(resolution,[],[f3,f73]) ).
fof(f114,plain,
! [X0,X1] :
( ~ end_point(X1,sk14)
| ~ end_point(X0,sk14)
| X0 = X1
| sk17 = X1
| sk17 = X0 ),
inference(resolution,[],[f50,f92]) ).
fof(f115,plain,
! [X0,X1] :
( ~ end_point(X1,sk15)
| ~ end_point(X0,sk15)
| X0 = X1
| sk17 = X1
| sk17 = X0 ),
inference(resolution,[],[f50,f90]) ).
fof(f118,plain,
incident_c(sk16,sk14),
inference(resolution,[],[f33,f66]) ).
fof(f123,plain,
incident_c(sk16,sk15),
inference(resolution,[],[f34,f66]) ).
fof(f124,plain,
( ~ incident_c(sk16,sk14)
| end_point(sk16,sk14) ),
inference(resolution,[],[f123,f87]) ).
fof(f125,plain,
( ~ incident_c(sk16,sk14)
| end_point(sk16,sk15) ),
inference(resolution,[],[f123,f88]) ).
fof(f128,plain,
end_point(sk16,sk15),
inference(forward_subsumption_resolution,[],[f125,f118]) ).
fof(f129,plain,
end_point(sk16,sk14),
inference(forward_subsumption_resolution,[],[f124,f118]) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ incident_c(ax0_sk7(X1),X2)
| ~ part_of(X2,X1)
| ~ incident_c(ax0_sk7(X1),X0)
| ~ part_of(X0,X1)
| part_of(X0,X2)
| part_of(X2,X0)
| ~ open(X1) ),
inference(resolution,[],[f23,f42]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ part_of(ax0_sk4(X0,ax0_sk7(X1)),X1)
| ~ incident_c(ax0_sk7(X1),X2)
| ~ part_of(X2,X1)
| part_of(X2,ax0_sk4(X0,ax0_sk7(X1)))
| part_of(ax0_sk4(X0,ax0_sk7(X1)),X2)
| ~ open(X1)
| ~ incident_c(ax0_sk7(X1),X0)
| end_point(ax0_sk7(X1),X0) ),
inference(resolution,[],[f134,f27]) ).
fof(f142,plain,
! [X2,X0,X1] :
( incident_c(ax0_sk1(X0,X1),X2)
| ~ part_of(X0,X2)
| part_of(X0,X1) ),
inference(resolution,[],[f2,f1]) ).
fof(f152,plain,
! [X0] :
( incident_c(ax0_sk7(X0),X0)
| ~ open(X0) ),
inference(resolution,[],[f22,f42]) ).
fof(f162,plain,
( ~ open(sF0)
| incident_c(ax0_sk7(sF0),sk14)
| incident_c(ax0_sk7(sF0),sk15) ),
inference(resolution,[],[f152,f85]) ).
fof(f164,plain,
( incident_c(ax0_sk7(sF0),sk15)
| incident_c(ax0_sk7(sF0),sk14) ),
inference(forward_subsumption_resolution,[],[f162,f78]) ).
fof(f204,plain,
! [X0] : ~ end_point(ax0_sk8(X0),X0),
inference(resolution,[],[f46,f31]) ).
fof(f205,plain,
! [X0] : incident_c(ax0_sk8(X0),X0),
inference(resolution,[],[f46,f30]) ).
fof(f206,plain,
! [X0,X1] :
( incident_c(ax0_sk8(X0),X1)
| ~ part_of(X0,X1) ),
inference(resolution,[],[f205,f1]) ).
fof(f210,plain,
( ~ incident_c(ax0_sk8(sk15),sk14)
| end_point(ax0_sk8(sk15),sk15) ),
inference(resolution,[],[f205,f88]) ).
fof(f213,plain,
~ incident_c(ax0_sk8(sk15),sk14),
inference(forward_subsumption_resolution,[],[f210,f204]) ).
fof(f282,plain,
! [X0] :
( ~ incident_c(ax0_sk1(X0,sF0),sk15)
| part_of(X0,sum(sk14,sk15)) ),
inference(superposition,[],[f104,f77]) ).
fof(f286,plain,
! [X0] :
( ~ incident_c(ax0_sk1(X0,sF0),sk15)
| part_of(X0,sF0) ),
inference(forward_demodulation,[],[f282,f77]) ).
fof(f287,plain,
( part_of(sk15,sF0)
| part_of(sk15,sF0) ),
inference(resolution,[],[f286,f2]) ).
fof(f292,plain,
part_of(sk15,sF0),
inference(duplicate_literal_removal,[],[f287]) ).
fof(f300,plain,
! [X0] :
( ~ incident_c(ax0_sk1(X0,sF0),sk14)
| part_of(X0,sum(sk14,sk15)) ),
inference(superposition,[],[f105,f77]) ).
fof(f304,plain,
! [X0] :
( ~ incident_c(ax0_sk1(X0,sF0),sk14)
| part_of(X0,sF0) ),
inference(forward_demodulation,[],[f300,f77]) ).
fof(f305,plain,
( part_of(sk14,sF0)
| part_of(sk14,sF0) ),
inference(resolution,[],[f304,f2]) ).
fof(f310,plain,
part_of(sk14,sF0),
inference(duplicate_literal_removal,[],[f305]) ).
fof(f386,plain,
! [X0] :
( ~ part_of(X0,sk14)
| part_of(X0,sF0)
| part_of(X0,sF0) ),
inference(resolution,[],[f142,f304]) ).
fof(f387,plain,
! [X0] :
( ~ part_of(X0,sk15)
| part_of(X0,sF0)
| part_of(X0,sF0) ),
inference(resolution,[],[f142,f286]) ).
fof(f396,plain,
! [X0] :
( ~ part_of(X0,sk15)
| part_of(X0,sF0) ),
inference(duplicate_literal_removal,[],[f387]) ).
fof(f397,plain,
! [X0] :
( ~ part_of(X0,sk14)
| part_of(X0,sF0) ),
inference(duplicate_literal_removal,[],[f386]) ).
fof(f401,plain,
! [X0] :
( part_of(ax0_sk4(sk14,X0),sF0)
| ~ incident_c(X0,sk14)
| end_point(X0,sk14) ),
inference(resolution,[],[f397,f25]) ).
fof(f402,plain,
! [X0] :
( part_of(ax0_sk3(sk14,X0),sF0)
| ~ incident_c(X0,sk14)
| end_point(X0,sk14) ),
inference(resolution,[],[f397,f24]) ).
fof(f404,plain,
! [X0] :
( part_of(ax0_sk4(sk15,X0),sF0)
| ~ incident_c(X0,sk15)
| end_point(X0,sk15) ),
inference(resolution,[],[f396,f25]) ).
fof(f405,plain,
! [X0] :
( part_of(ax0_sk3(sk15,X0),sF0)
| ~ incident_c(X0,sk15)
| end_point(X0,sk15) ),
inference(resolution,[],[f396,f24]) ).
fof(f407,plain,
! [X0] :
( ~ incident_c(ax0_sk7(sF0),sk14)
| end_point(ax0_sk7(sF0),sk14)
| ~ incident_c(ax0_sk7(sF0),X0)
| ~ part_of(X0,sF0)
| part_of(X0,ax0_sk4(sk14,ax0_sk7(sF0)))
| part_of(ax0_sk4(sk14,ax0_sk7(sF0)),X0)
| ~ open(sF0)
| ~ incident_c(ax0_sk7(sF0),sk14)
| end_point(ax0_sk7(sF0),sk14) ),
inference(resolution,[],[f401,f139]) ).
fof(f414,plain,
! [X0] :
( ~ incident_c(ax0_sk7(sF0),sk14)
| end_point(ax0_sk7(sF0),sk14)
| ~ incident_c(ax0_sk7(sF0),X0)
| ~ part_of(X0,sF0)
| part_of(X0,ax0_sk4(sk14,ax0_sk7(sF0)))
| part_of(ax0_sk4(sk14,ax0_sk7(sF0)),X0)
| ~ open(sF0) ),
inference(duplicate_literal_removal,[],[f407]) ).
fof(f416,plain,
! [X0] :
( part_of(ax0_sk4(sk14,ax0_sk7(sF0)),X0)
| end_point(ax0_sk7(sF0),sk14)
| ~ incident_c(ax0_sk7(sF0),X0)
| ~ part_of(X0,sF0)
| part_of(X0,ax0_sk4(sk14,ax0_sk7(sF0)))
| ~ incident_c(ax0_sk7(sF0),sk14) ),
inference(forward_subsumption_resolution,[],[f414,f78]) ).
fof(f417,plain,
( end_point(ax0_sk7(sF0),sk14)
| ~ incident_c(ax0_sk7(sF0),ax0_sk3(sk14,ax0_sk7(sF0)))
| ~ part_of(ax0_sk3(sk14,ax0_sk7(sF0)),sF0)
| part_of(ax0_sk3(sk14,ax0_sk7(sF0)),ax0_sk4(sk14,ax0_sk7(sF0)))
| ~ incident_c(ax0_sk7(sF0),sk14)
| ~ incident_c(ax0_sk7(sF0),sk14)
| end_point(ax0_sk7(sF0),sk14) ),
inference(resolution,[],[f416,f29]) ).
fof(f428,plain,
( end_point(ax0_sk7(sF0),sk14)
| ~ incident_c(ax0_sk7(sF0),ax0_sk3(sk14,ax0_sk7(sF0)))
| ~ part_of(ax0_sk3(sk14,ax0_sk7(sF0)),sF0)
| part_of(ax0_sk3(sk14,ax0_sk7(sF0)),ax0_sk4(sk14,ax0_sk7(sF0)))
| ~ incident_c(ax0_sk7(sF0),sk14) ),
inference(duplicate_literal_removal,[],[f417]) ).
fof(f430,plain,
( end_point(ax0_sk7(sF0),sk14)
| ~ part_of(ax0_sk3(sk14,ax0_sk7(sF0)),sF0)
| part_of(ax0_sk3(sk14,ax0_sk7(sF0)),ax0_sk4(sk14,ax0_sk7(sF0)))
| ~ incident_c(ax0_sk7(sF0),sk14) ),
inference(forward_subsumption_resolution,[],[f428,f26]) ).
fof(f431,plain,
( end_point(ax0_sk7(sF0),sk14)
| ~ part_of(ax0_sk3(sk14,ax0_sk7(sF0)),sF0)
| ~ incident_c(ax0_sk7(sF0),sk14) ),
inference(forward_subsumption_resolution,[],[f430,f28]) ).
fof(f432,plain,
( ~ incident_c(ax0_sk7(sF0),sk14)
| end_point(ax0_sk7(sF0),sk14) ),
inference(forward_subsumption_resolution,[],[f431,f402]) ).
fof(f491,plain,
~ part_of(sk15,sk14),
inference(resolution,[],[f206,f213]) ).
fof(f496,plain,
! [X0] :
( ~ incident_c(ax0_sk8(X0),sk14)
| ~ part_of(X0,sk15)
| end_point(ax0_sk8(X0),sk14) ),
inference(resolution,[],[f206,f87]) ).
fof(f500,plain,
! [X0] :
( ~ incident_c(ax0_sk7(sF0),sk15)
| end_point(ax0_sk7(sF0),sk15)
| ~ incident_c(ax0_sk7(sF0),X0)
| ~ part_of(X0,sF0)
| part_of(X0,ax0_sk4(sk15,ax0_sk7(sF0)))
| part_of(ax0_sk4(sk15,ax0_sk7(sF0)),X0)
| ~ open(sF0)
| ~ incident_c(ax0_sk7(sF0),sk15)
| end_point(ax0_sk7(sF0),sk15) ),
inference(resolution,[],[f404,f139]) ).
fof(f508,plain,
! [X0] :
( ~ incident_c(ax0_sk7(sF0),sk15)
| end_point(ax0_sk7(sF0),sk15)
| ~ incident_c(ax0_sk7(sF0),X0)
| ~ part_of(X0,sF0)
| part_of(X0,ax0_sk4(sk15,ax0_sk7(sF0)))
| part_of(ax0_sk4(sk15,ax0_sk7(sF0)),X0)
| ~ open(sF0) ),
inference(duplicate_literal_removal,[],[f500]) ).
fof(f510,plain,
! [X0] :
( part_of(ax0_sk4(sk15,ax0_sk7(sF0)),X0)
| end_point(ax0_sk7(sF0),sk15)
| ~ incident_c(ax0_sk7(sF0),X0)
| ~ part_of(X0,sF0)
| part_of(X0,ax0_sk4(sk15,ax0_sk7(sF0)))
| ~ incident_c(ax0_sk7(sF0),sk15) ),
inference(forward_subsumption_resolution,[],[f508,f78]) ).
fof(f511,plain,
( end_point(ax0_sk7(sF0),sk15)
| ~ incident_c(ax0_sk7(sF0),ax0_sk3(sk15,ax0_sk7(sF0)))
| ~ part_of(ax0_sk3(sk15,ax0_sk7(sF0)),sF0)
| part_of(ax0_sk3(sk15,ax0_sk7(sF0)),ax0_sk4(sk15,ax0_sk7(sF0)))
| ~ incident_c(ax0_sk7(sF0),sk15)
| ~ incident_c(ax0_sk7(sF0),sk15)
| end_point(ax0_sk7(sF0),sk15) ),
inference(resolution,[],[f510,f29]) ).
fof(f523,plain,
( end_point(ax0_sk7(sF0),sk15)
| ~ incident_c(ax0_sk7(sF0),ax0_sk3(sk15,ax0_sk7(sF0)))
| ~ part_of(ax0_sk3(sk15,ax0_sk7(sF0)),sF0)
| part_of(ax0_sk3(sk15,ax0_sk7(sF0)),ax0_sk4(sk15,ax0_sk7(sF0)))
| ~ incident_c(ax0_sk7(sF0),sk15) ),
inference(duplicate_literal_removal,[],[f511]) ).
fof(f525,plain,
( end_point(ax0_sk7(sF0),sk15)
| ~ part_of(ax0_sk3(sk15,ax0_sk7(sF0)),sF0)
| part_of(ax0_sk3(sk15,ax0_sk7(sF0)),ax0_sk4(sk15,ax0_sk7(sF0)))
| ~ incident_c(ax0_sk7(sF0),sk15) ),
inference(forward_subsumption_resolution,[],[f523,f26]) ).
fof(f526,plain,
( end_point(ax0_sk7(sF0),sk15)
| ~ part_of(ax0_sk3(sk15,ax0_sk7(sF0)),sF0)
| ~ incident_c(ax0_sk7(sF0),sk15) ),
inference(forward_subsumption_resolution,[],[f525,f28]) ).
fof(f527,plain,
( ~ incident_c(ax0_sk7(sF0),sk15)
| end_point(ax0_sk7(sF0),sk15) ),
inference(forward_subsumption_resolution,[],[f526,f405]) ).
fof(f528,plain,
( end_point(ax0_sk7(sF0),sk15)
| incident_c(ax0_sk7(sF0),sk14) ),
inference(resolution,[],[f527,f164]) ).
fof(f833,plain,
! [X0] :
( ~ end_point(X0,sk15)
| sk16 = X0
| sk16 = sk17
| sk17 = X0 ),
inference(resolution,[],[f115,f128]) ).
fof(f836,plain,
! [X0] :
( ~ end_point(X0,sk15)
| sk16 = X0
| sk17 = X0 ),
inference(forward_subsumption_resolution,[],[f833,f69]) ).
fof(f867,plain,
! [X0] :
( ~ end_point(X0,sk14)
| sk16 = X0
| sk16 = sk17
| sk17 = X0 ),
inference(resolution,[],[f114,f129]) ).
fof(f870,plain,
! [X0] :
( ~ end_point(X0,sk14)
| sk16 = X0
| sk17 = X0 ),
inference(forward_subsumption_resolution,[],[f867,f69]) ).
fof(f937,plain,
( incident_c(ax0_sk7(sF0),sk14)
| sk16 = ax0_sk7(sF0)
| sk17 = ax0_sk7(sF0) ),
inference(resolution,[],[f528,f836]) ).
fof(f962,plain,
( ~ part_of(sk14,sk15)
| end_point(ax0_sk8(sk14),sk14) ),
inference(resolution,[],[f496,f205]) ).
fof(f967,plain,
~ part_of(sk14,sk15),
inference(forward_subsumption_resolution,[],[f962,f204]) ).
fof(f10331,plain,
( sk16 = ax0_sk7(sF0)
| sk17 = ax0_sk7(sF0)
| end_point(ax0_sk7(sF0),sk14) ),
inference(resolution,[],[f937,f432]) ).
fof(f10361,plain,
( sk17 = ax0_sk7(sF0)
| sk16 = ax0_sk7(sF0) ),
inference(forward_subsumption_resolution,[],[f10331,f870]) ).
fof(f10416,plain,
( end_point(sk17,sF0)
| ~ open(sF0)
| sk16 = ax0_sk7(sF0) ),
inference(superposition,[],[f42,f10361]) ).
fof(f10442,plain,
( sk16 = ax0_sk7(sF0)
| end_point(sk17,sF0) ),
inference(forward_subsumption_resolution,[],[f10416,f78]) ).
fof(f10499,plain,
( end_point(sk16,sF0)
| ~ open(sF0)
| end_point(sk17,sF0) ),
inference(superposition,[],[f42,f10442]) ).
fof(f10524,plain,
( end_point(sk17,sF0)
| end_point(sk16,sF0) ),
inference(forward_subsumption_resolution,[],[f10499,f78]) ).
fof(f10573,plain,
! [X0,X1] :
( ~ incident_c(sk17,X1)
| ~ part_of(X0,sF0)
| ~ part_of(X1,sF0)
| ~ incident_c(sk17,X0)
| end_point(sk16,sF0)
| part_of(X0,X1)
| part_of(X1,X0) ),
inference(resolution,[],[f10524,f23]) ).
fof(f14184,plain,
! [X0] :
( ~ part_of(X0,sF0)
| ~ part_of(sk15,sF0)
| ~ incident_c(sk17,X0)
| end_point(sk16,sF0)
| part_of(X0,sk15)
| part_of(sk15,X0) ),
inference(resolution,[],[f10573,f71]) ).
fof(f14193,plain,
! [X0] :
( ~ incident_c(sk17,X0)
| ~ part_of(X0,sF0)
| end_point(sk16,sF0)
| part_of(X0,sk15)
| part_of(sk15,X0) ),
inference(forward_subsumption_resolution,[],[f14184,f292]) ).
fof(f14204,plain,
( ~ part_of(sk14,sF0)
| end_point(sk16,sF0)
| part_of(sk14,sk15)
| part_of(sk15,sk14) ),
inference(resolution,[],[f14193,f70]) ).
fof(f14217,plain,
( end_point(sk16,sF0)
| part_of(sk14,sk15)
| part_of(sk15,sk14) ),
inference(forward_subsumption_resolution,[],[f14204,f310]) ).
fof(f14218,plain,
( end_point(sk16,sF0)
| part_of(sk15,sk14) ),
inference(forward_subsumption_resolution,[],[f14217,f967]) ).
fof(f14219,plain,
end_point(sk16,sF0),
inference(forward_subsumption_resolution,[],[f14218,f491]) ).
fof(f14225,plain,
! [X0,X1] :
( ~ incident_c(sk16,X1)
| ~ part_of(X1,sF0)
| ~ incident_c(sk16,X0)
| ~ part_of(X0,sF0)
| part_of(X0,X1)
| part_of(X1,X0) ),
inference(resolution,[],[f14219,f23]) ).
fof(f14625,plain,
! [X0] :
( ~ part_of(sk15,sF0)
| ~ incident_c(sk16,X0)
| ~ part_of(X0,sF0)
| part_of(X0,sk15)
| part_of(sk15,X0) ),
inference(resolution,[],[f14225,f123]) ).
fof(f14634,plain,
! [X0] :
( ~ incident_c(sk16,X0)
| ~ part_of(X0,sF0)
| part_of(X0,sk15)
| part_of(sk15,X0) ),
inference(forward_subsumption_resolution,[],[f14625,f292]) ).
fof(f14642,plain,
( ~ part_of(sk14,sF0)
| part_of(sk14,sk15)
| part_of(sk15,sk14) ),
inference(resolution,[],[f14634,f118]) ).
fof(f14653,plain,
( part_of(sk14,sk15)
| part_of(sk15,sk14) ),
inference(forward_subsumption_resolution,[],[f14642,f310]) ).
fof(f14654,plain,
part_of(sk15,sk14),
inference(forward_subsumption_resolution,[],[f14653,f967]) ).
fof(f14655,plain,
$false,
inference(forward_subsumption_resolution,[],[f14654,f491]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO092-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n020.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 06:57:19 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 11.80/2.51 % (3057472)Input is clausal, will run a generic CNF schedule.
% 11.80/2.51 % (3057479)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=797067461:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.80/2.51 % (3057482)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=800548105:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.80/2.51 % (3057477)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=1349625187:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.80/2.51 % (3057483)dis-21_1_sil=8000:lcm=predicate:random_seed=1140592293: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)
% 11.80/2.51 % (3057480)lrs+10_1_sil=8000:sp=occurrence:random_seed=3351962704:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.80/2.51 % (3057481)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2275168285:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.80/2.51 % (3057478)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3244463155:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.80/2.51 % (3057481)Instruction limit reached!
% 11.80/2.51 % (3057481)------------------------------
% 11.80/2.51 % (3057481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.80/2.51 % (3057481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.80/2.51 % (3057481)CaDiCaL version: 2.1.3
% 11.80/2.51 % (3057481)Termination reason: Instruction limit
% 11.80/2.51 % (3057481)Termination phase: Saturation
% 11.80/2.51 % (3057481)Time elapsed: 0.061 s
% 11.80/2.51 % (3057481)Peak memory usage: 88 MB
% 11.80/2.51 % (3057481)Instructions burned: 116 (million)
% 11.80/2.51 % (3057480)Instruction limit reached!
% 11.80/2.51 % (3057480)------------------------------
% 11.80/2.51 % (3057480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.80/2.51 % (3057480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.80/2.51 % (3057480)CaDiCaL version: 2.1.3
% 11.80/2.51 % (3057480)Termination reason: Instruction limit
% 11.80/2.51 % (3057480)Termination phase: Saturation
% 11.80/2.51 % (3057480)Time elapsed: 0.065 s
% 11.80/2.51 % (3057480)Peak memory usage: 88 MB
% 11.80/2.51 % (3057480)Instructions burned: 107 (million)
% 11.80/2.51 % (3057483)Instruction limit reached!
% 11.80/2.51 % (3057483)------------------------------
% 11.80/2.51 % (3057483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.80/2.51 % (3057483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.80/2.51 % (3057483)CaDiCaL version: 2.1.3
% 11.80/2.51 % (3057483)Termination reason: Instruction limit
% 11.80/2.51 % (3057483)Termination phase: Saturation
% 11.80/2.51 % (3057483)Time elapsed: 0.067 s
% 11.80/2.51 % (3057483)Peak memory usage: 88 MB
% 11.80/2.51 % (3057483)Instructions burned: 119 (million)
% 11.80/2.51 % (3057482)Instruction limit reached!
% 11.80/2.51 % (3057482)------------------------------
% 11.80/2.51 % (3057482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.80/2.51 % (3057482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.80/2.51 % (3057482)CaDiCaL version: 2.1.3
% 11.80/2.51 % (3057482)Termination reason: Instruction limit
% 11.80/2.51 % (3057482)Termination phase: Saturation
% 11.80/2.51 % (3057482)Time elapsed: 0.122 s
% 11.80/2.51 % (3057482)Peak memory usage: 89 MB
% 11.80/2.51 % (3057482)Instructions burned: 180 (million)
% 11.80/2.51 % (3057493)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=531440857:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.80/2.51 % (3057491)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=3586506271:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.80/2.51 % (3057492)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=345460537: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)
% 11.80/2.51 % (3057491)Refutation not found, incomplete strategy
% 11.80/2.51 % (3057491)------------------------------
% 11.80/2.51 % (3057491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.19/3.94 % (3057491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.19/3.94 % (3057491)CaDiCaL version: 2.1.3
% 21.19/3.94 % (3057491)Termination reason: Refutation not found, incomplete strategy
% 21.19/3.94 % (3057491)Time elapsed: 0.016 s
% 21.19/3.94 % (3057491)Peak memory usage: 88 MB
% 21.19/3.94 % (3057491)Instructions burned: 21 (million)
% 21.19/3.94 % (3057494)lrs+10_64_to=lpo:sil=8000:random_seed=77828311:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 21.19/3.94 % (3057492)Instruction limit reached!
% 21.19/3.94 % (3057492)------------------------------
% 21.19/3.94 % (3057492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.19/3.94 % (3057492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.19/3.94 % (3057492)CaDiCaL version: 2.1.3
% 21.19/3.94 % (3057492)Termination reason: Instruction limit
% 21.19/3.94 % (3057492)Termination phase: Saturation
% 21.19/3.94 % (3057492)Time elapsed: 0.112 s
% 21.19/3.94 % (3057492)Peak memory usage: 89 MB
% 21.19/3.94 % (3057492)Instructions burned: 190 (million)
% 21.19/3.94 % (3057493)Instruction limit reached!
% 21.19/3.94 % (3057493)------------------------------
% 21.19/3.94 % (3057493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.19/3.94 % (3057493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.19/3.94 % (3057493)CaDiCaL version: 2.1.3
% 21.19/3.94 % (3057493)Termination reason: Instruction limit
% 21.19/3.94 % (3057493)Termination phase: Saturation
% 21.19/3.94 % (3057493)Time elapsed: 0.124 s
% 21.19/3.94 % (3057493)Peak memory usage: 88 MB
% 21.19/3.94 % (3057493)Instructions burned: 220 (million)
% 21.19/3.94 % (3057494)Instruction limit reached!
% 21.19/3.94 % (3057494)------------------------------
% 21.19/3.94 % (3057494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.19/3.94 % (3057494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.19/3.94 % (3057494)CaDiCaL version: 2.1.3
% 21.19/3.94 % (3057494)Termination reason: Instruction limit
% 21.19/3.94 % (3057494)Termination phase: Saturation
% 21.19/3.94 % (3057494)Time elapsed: 0.071 s
% 21.19/3.94 % (3057494)Peak memory usage: 89 MB
% 21.19/3.94 % (3057494)Instructions burned: 127 (million)
% 21.19/3.94 % (3057491)------------------------------
% 21.19/3.94 % (3057491)------------------------------
% 21.19/3.94 % (3057500)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2458222624:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 21.19/3.94 % (3057499)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3464321826:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 21.19/3.94 % (3057501)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2253874367:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 21.19/3.94 % (3057499)Instruction limit reached!
% 21.19/3.94 % (3057499)------------------------------
% 21.19/3.94 % (3057499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.19/3.94 % (3057499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.19/3.94 % (3057499)CaDiCaL version: 2.1.3
% 21.19/3.94 % (3057499)Termination reason: Instruction limit
% 21.19/3.94 % (3057499)Termination phase: Saturation
% 21.19/3.94 % (3057499)Time elapsed: 0.088 s
% 21.19/3.94 % (3057499)Peak memory usage: 89 MB
% 21.19/3.94 % (3057499)Instructions burned: 194 (million)
% 21.19/3.94 % (3057500)Instruction limit reached!
% 21.19/3.94 % (3057500)------------------------------
% 21.19/3.94 % (3057500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.19/3.94 % (3057500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.19/3.94 % (3057500)CaDiCaL version: 2.1.3
% 21.19/3.94 % (3057500)Termination reason: Instruction limit
% 21.19/3.94 % (3057500)Termination phase: Saturation
% 21.19/3.94 % (3057500)Time elapsed: 0.097 s
% 21.19/3.94 % (3057500)Peak memory usage: 90 MB
% 21.19/3.94 % (3057500)Instructions burned: 159 (million)
% 21.19/3.94 % (3057502)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1436038640:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 21.19/3.94 % (3057502)Instruction limit reached!
% 21.19/3.94 % (3057502)------------------------------
% 21.19/3.94 % (3057502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.19/3.94 % (3057502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.83/4.34 % (3057502)CaDiCaL version: 2.1.3
% 24.83/4.34 % (3057502)Termination reason: Instruction limit
% 24.83/4.34 % (3057502)Termination phase: Saturation
% 24.83/4.34 % (3057502)Time elapsed: 0.057 s
% 24.83/4.34 % (3057502)Peak memory usage: 89 MB
% 24.83/4.34 % (3057502)Instructions burned: 106 (million)
% 24.83/4.34 % (3057506)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1199235880:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 24.83/4.34 % (3057507)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=316938123:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 24.83/4.34 % (3057506)Instruction limit reached!
% 24.83/4.34 % (3057506)------------------------------
% 24.83/4.34 % (3057506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.83/4.34 % (3057506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.83/4.34 % (3057506)CaDiCaL version: 2.1.3
% 24.83/4.34 % (3057506)Termination reason: Instruction limit
% 24.83/4.34 % (3057506)Termination phase: Saturation
% 24.83/4.34 % (3057506)Time elapsed: 0.070 s
% 24.83/4.34 % (3057506)Peak memory usage: 89 MB
% 24.83/4.34 % (3057506)Instructions burned: 107 (million)
% 24.83/4.34 % (3057509)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2112547193:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 24.83/4.34 % (3057507)Instruction limit reached!
% 24.83/4.34 % (3057507)------------------------------
% 24.83/4.34 % (3057507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.83/4.34 % (3057507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.83/4.34 % (3057507)CaDiCaL version: 2.1.3
% 24.83/4.34 % (3057507)Termination reason: Instruction limit
% 24.83/4.34 % (3057507)Termination phase: Saturation
% 24.83/4.34 % (3057507)Time elapsed: 0.142 s
% 24.83/4.34 % (3057507)Peak memory usage: 89 MB
% 24.83/4.34 % (3057507)Instructions burned: 243 (million)
% 24.83/4.34 % (3057512)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=930384208:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 24.83/4.34 % (3057514)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3552253028:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 24.83/4.34 % (3057512)Instruction limit reached!
% 24.83/4.34 % (3057512)------------------------------
% 24.83/4.34 % (3057512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.83/4.34 % (3057512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.83/4.34 % (3057512)CaDiCaL version: 2.1.3
% 24.83/4.34 % (3057512)Termination reason: Instruction limit
% 24.83/4.34 % (3057512)Termination phase: Saturation
% 24.83/4.34 % (3057512)Time elapsed: 0.092 s
% 24.83/4.34 % (3057512)Peak memory usage: 90 MB
% 24.83/4.34 % (3057512)Instructions burned: 135 (million)
% 24.83/4.34 % (3057517)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3677485900:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 24.83/4.34 % (3057514)Instruction limit reached!
% 24.83/4.34 % (3057514)------------------------------
% 24.83/4.34 % (3057514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.83/4.34 % (3057514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.83/4.34 % (3057514)CaDiCaL version: 2.1.3
% 24.83/4.34 % (3057514)Termination reason: Instruction limit
% 24.83/4.34 % (3057514)Termination phase: Saturation
% 24.83/4.34 % (3057514)Time elapsed: 0.276 s
% 24.83/4.34 % (3057514)Peak memory usage: 93 MB
% 24.83/4.34 % (3057514)Instructions burned: 499 (million)
% 24.83/4.34 % (3057517)Instruction limit reached!
% 24.83/4.34 % (3057517)------------------------------
% 24.83/4.34 % (3057517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.83/4.34 % (3057517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.83/4.34 % (3057517)CaDiCaL version: 2.1.3
% 24.83/4.34 % (3057517)Termination reason: Instruction limit
% 24.83/4.34 % (3057517)Termination phase: Saturation
% 24.83/4.34 % (3057517)Time elapsed: 0.121 s
% 24.83/4.34 % (3057517)Peak memory usage: 90 MB
% 24.83/4.34 % (3057517)Instructions burned: 193 (million)
% 24.83/4.34 % (3057519)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2728431891:i=264:kws=precedence:fsr=off_2984 on theBenchmark for (2984ds/264Mi)
% 24.83/4.34 % (3057520)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1250722196:cond=on:i=156:bs=on:gtg=exists_all:er=known_2984 on theBenchmark for (2984ds/156Mi)
% 24.83/4.34 % (3057520)Instruction limit reached!
% 24.83/4.34 % (3057520)------------------------------
% 24.83/4.34 % (3057520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.83/4.34 % (3057520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.83/4.34 % (3057520)CaDiCaL version: 2.1.3
% 24.83/4.34 % (3057520)Termination reason: Instruction limit
% 24.83/4.34 % (3057520)Termination phase: Saturation
% 24.83/4.34 % (3057520)Time elapsed: 0.101 s
% 24.83/4.34 % (3057520)Peak memory usage: 89 MB
% 24.83/4.34 % (3057520)Instructions burned: 157 (million)
% 24.83/4.34 % (3057519)Instruction limit reached!
% 24.83/4.34 % (3057519)------------------------------
% 24.83/4.34 % (3057519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.83/4.34 % (3057519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.83/4.34 % (3057519)CaDiCaL version: 2.1.3
% 24.83/4.34 % (3057519)Termination reason: Instruction limit
% 24.83/4.34 % (3057519)Termination phase: Saturation
% 24.83/4.34 % (3057519)Time elapsed: 0.152 s
% 24.83/4.34 % (3057519)Peak memory usage: 91 MB
% 24.83/4.34 % (3057519)Instructions burned: 266 (million)
% 24.83/4.34 % (3057523)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=4125371001:i=3256:kws=precedence:bd=preordered:av=off_2982 on theBenchmark for (2982ds/3256Mi)
% 24.83/4.34 % (3057524)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=4161648991:i=537:av=off:ss=included_2981 on theBenchmark for (2981ds/537Mi)
% 24.83/4.34 % (3057524)Instruction limit reached!
% 24.83/4.34 % (3057524)------------------------------
% 24.83/4.34 % (3057524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.83/4.34 % (3057524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.83/4.34 % (3057524)CaDiCaL version: 2.1.3
% 24.83/4.34 % (3057524)Termination reason: Instruction limit
% 24.83/4.34 % (3057524)Termination phase: Saturation
% 24.83/4.34 % (3057524)Time elapsed: 0.257 s
% 24.83/4.34 % (3057524)Peak memory usage: 89 MB
% 24.83/4.34 % (3057524)Instructions burned: 539 (million)
% 24.83/4.34 % (3057527)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=2281741529:i=180:bd=preordered:av=off_2977 on theBenchmark for (2977ds/180Mi)
% 24.83/4.34 % (3057527)Instruction limit reached!
% 24.83/4.34 % (3057527)------------------------------
% 24.83/4.34 % (3057527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.83/4.34 % (3057527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.83/4.34 % (3057527)CaDiCaL version: 2.1.3
% 24.83/4.34 % (3057527)Termination reason: Instruction limit
% 24.83/4.34 % (3057527)Termination phase: Saturation
% 24.83/4.34 % (3057527)Time elapsed: 0.102 s
% 24.83/4.34 % (3057527)Peak memory usage: 89 MB
% 24.83/4.34 % (3057527)Instructions burned: 181 (million)
% 24.83/4.34 % (3057529)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=3200931163:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2975 on theBenchmark for (2975ds/10307Mi)
% 24.83/4.34 % (3057501)Instruction limit reached!
% 24.83/4.34 % (3057501)------------------------------
% 24.83/4.34 % (3057501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.83/4.34 % (3057501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.83/4.34 % (3057501)CaDiCaL version: 2.1.3
% 24.83/4.34 % (3057501)Termination reason: Instruction limit
% 24.83/4.34 % (3057501)Termination phase: Saturation
% 24.83/4.34 % (3057501)Time elapsed: 2.089 s
% 24.83/4.34 % (3057501)Peak memory usage: 146 MB
% 24.83/4.34 % (3057501)Instructions burned: 3395 (million)
% 24.83/4.34 % (3057531)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=3445905095:i=412:gtgl=4:gtg=exists_all_2972 on theBenchmark for (2972ds/412Mi)
% 24.83/4.34 % (3057531)Instruction limit reached!
% 24.83/4.34 % (3057531)------------------------------
% 24.83/4.34 % (3057531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.83/4.34 % (3057531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.83/4.34 % (3057531)CaDiCaL version: 2.1.3
% 24.83/4.34 % (3057531)Termination reason: Instruction limit
% 24.83/4.34 % (3057531)Termination phase: Saturation
% 24.83/4.34 % (3057531)Time elapsed: 0.160 s
% 24.83/4.34 % (3057531)Peak memory usage: 91 MB
% 24.83/4.34 % (3057531)Instructions burned: 412 (million)
% 24.83/4.34 % (3057509)First to succeed.
% 24.83/4.34 % (3057509)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3057472"
% 24.83/4.34 % (3057533)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=630309471:s2pl=no:i=8478:s2at=4:nm=6_2968 on theBenchmark for (2968ds/8478Mi)
% 24.83/4.34 % (3057509)Refutation found. Thanks to Tanya!
% 24.83/4.34 % SZS status Unsatisfiable for theBenchmark
% 24.83/4.34 % SZS output start Proof for theBenchmark
% See solution above
% 25.34/4.54 % (3057509)------------------------------
% 25.34/4.54 % (3057509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.34/4.54 % (3057509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.34/4.54 % (3057509)CaDiCaL version: 2.1.3
% 25.34/4.54 % (3057509)Termination reason: Refutation
% 25.34/4.54 % (3057509)Time elapsed: 2.213 s
% 25.34/4.54 % (3057509)Peak memory usage: 143 MB
% 25.34/4.54 % (3057509)Instructions burned: 3432 (million)
% 25.34/4.54 % (3057509)------------------------------
% 25.34/4.54 % (3057509)------------------------------
% 25.34/4.54 % (3057472)Success in time 3.498 s
% 25.34/4.54 % Vampire exiting
%------------------------------------------------------------------------------