%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL221-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 11:51:38 AM UTC 2026
% Result : Unsatisfiable 19.51s 3.46s
% Output : Refutation 20.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 22
% Syntax : Number of formulae : 132 ( 72 unt; 13 def)
% Number of atoms : 205 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 146 ( 73 ~; 69 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 12 con; 0-2 aty)
% Number of variables : 125 ( 0 sgn 125 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).
fof(f9,negated_conjecture,
~ theorem(implies(implies(p,q),implies(or(or(p,q),r),or(q,r)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f10,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f11,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f12,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f13,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f14,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f15,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f16,plain,
~ theorem(or(not(or(not(p),q)),or(not(or(or(p,q),r)),or(q,r)))),
inference(definition_unfolding,[],[f9,f6,f6,f6]) ).
fof(f17,definition,
sF0 = not(p),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f18,plain,
not(p) = sF0,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF1 = or(sF0,q),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f20,plain,
or(sF0,q) = sF1,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF2 = not(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f22,plain,
not(sF1) = sF2,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF3 = or(p,q),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f24,plain,
or(p,q) = sF3,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF4 = or(sF3,r),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f26,plain,
or(sF3,r) = sF4,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF5 = not(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f28,plain,
not(sF4) = sF5,
inference(reorient_equations,[],[f27]) ).
fof(f29,definition,
sF6 = or(q,r),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f30,plain,
or(q,r) = sF6,
inference(reorient_equations,[],[f29]) ).
fof(f31,definition,
sF7 = or(sF5,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f32,plain,
or(sF5,sF6) = sF7,
inference(reorient_equations,[],[f31]) ).
fof(f33,definition,
sF8 = or(sF2,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f34,plain,
or(sF2,sF7) = sF8,
inference(reorient_equations,[],[f33]) ).
fof(f35,plain,
~ theorem(sF8),
inference(definition_folding,[],[f16,f34,f32,f30,f28,f26,f24,f22,f20,f18]) ).
fof(f38,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f7,f14]) ).
fof(f55,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f15,f38]) ).
fof(f93,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f13,f7]) ).
fof(f104,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f93,f15]) ).
fof(f113,plain,
! [X0] : theorem(or(not(or(sF2,or(X0,sF7))),or(X0,sF8))),
inference(superposition,[],[f93,f34]) ).
fof(f114,plain,
! [X0] : theorem(or(not(or(sF5,or(X0,sF6))),or(X0,sF7))),
inference(superposition,[],[f93,f32]) ).
fof(f133,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f11,f7]) ).
fof(f149,plain,
theorem(or(not(r),sF6)),
inference(superposition,[],[f133,f30]) ).
fof(f154,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f12,f7]) ).
fof(f169,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f154,f15]) ).
fof(f171,plain,
theorem(or(not(sF3),or(q,p))),
inference(superposition,[],[f154,f24]) ).
fof(f175,plain,
theorem(or(not(sF4),or(r,sF3))),
inference(superposition,[],[f154,f26]) ).
fof(f183,plain,
theorem(or(sF5,or(r,sF3))),
inference(forward_demodulation,[],[f175,f28]) ).
fof(f185,plain,
! [X0] :
( ~ theorem(or(sF2,or(X0,sF7)))
| theorem(or(X0,sF8)) ),
inference(resolution,[],[f113,f15]) ).
fof(f226,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f55,f15]) ).
fof(f231,plain,
! [X0] :
( theorem(or(not(sF1),or(sF0,X0)))
| ~ theorem(or(not(q),X0)) ),
inference(superposition,[],[f55,f20]) ).
fof(f242,plain,
! [X0] :
( theorem(or(sF2,or(sF0,X0)))
| ~ theorem(or(not(q),X0)) ),
inference(forward_demodulation,[],[f231,f22]) ).
fof(f243,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f226,f154]) ).
fof(f244,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) ),
inference(resolution,[],[f226,f55]) ).
fof(f246,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X2,or(X1,X3))))
| theorem(or(X0,or(X1,or(X2,X3)))) ),
inference(resolution,[],[f226,f93]) ).
fof(f248,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f226,f133]) ).
fof(f249,plain,
! [X0,X1] :
( ~ theorem(or(sF0,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,p)) ),
inference(superposition,[],[f226,f18]) ).
fof(f257,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f243,f133]) ).
fof(f264,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f244,f154]) ).
fof(f267,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,or(X1,X2))),or(X1,X3)))
| ~ theorem(or(not(or(X0,X2)),X3)) ),
inference(resolution,[],[f244,f93]) ).
fof(f276,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f10,f7]) ).
fof(f277,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f276,f226]) ).
fof(f278,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f276,f15]) ).
fof(f287,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f277,f133]) ).
fof(f301,plain,
! [X0] :
( ~ theorem(or(X0,sF6))
| theorem(or(X0,sF7)) ),
inference(superposition,[],[f248,f32]) ).
fof(f326,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f264,f15]) ).
fof(f330,plain,
! [X0,X1] :
( theorem(or(not(or(X0,X1)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f264,f277]) ).
fof(f350,plain,
! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1)))),
inference(resolution,[],[f246,f154]) ).
fof(f372,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f287,f169]) ).
fof(f388,plain,
theorem(or(not(q),sF6)),
inference(superposition,[],[f257,f30]) ).
fof(f419,plain,
theorem(or(not(or(sF5,or(sF2,sF6))),sF8)),
inference(superposition,[],[f114,f34]) ).
fof(f511,plain,
( ~ theorem(or(not(q),sF7))
| theorem(or(sF0,sF8)) ),
inference(resolution,[],[f242,f185]) ).
fof(f529,definition,
( spl9_25
<=> theorem(or(sF0,sF8)) ),
introduced(definition,[new_symbols(definition,[spl9_25])],[avatar_definition]) ).
fof(f531,plain,
( theorem(or(sF0,sF8))
| ~ spl9_25 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f533,definition,
( spl9_26
<=> theorem(or(not(q),sF7)) ),
introduced(definition,[new_symbols(definition,[spl9_26])],[avatar_definition]) ).
fof(f535,plain,
( ~ theorem(or(not(q),sF7))
| spl9_26 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f536,plain,
( spl9_25
| ~ spl9_26 ),
inference(avatar_split_clause,[],[f511,f533,f529]) ).
fof(f542,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(X3,X2))
| ~ theorem(or(X0,or(X3,X1))) ),
inference(resolution,[],[f267,f15]) ).
fof(f584,plain,
! [X0,X1] :
( ~ theorem(or(X1,or(X0,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f542,f276]) ).
fof(f586,plain,
! [X2,X0,X1] :
( ~ theorem(or(X2,or(X0,X1)))
| theorem(or(X0,X1))
| ~ theorem(or(not(X2),X1)) ),
inference(resolution,[],[f542,f330]) ).
fof(f601,plain,
theorem(or(r,or(sF5,sF3))),
inference(resolution,[],[f183,f104]) ).
fof(f621,plain,
! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X1,X0)) ),
inference(resolution,[],[f326,f372]) ).
fof(f908,plain,
! [X0] :
( ~ theorem(or(X0,or(sF5,or(sF2,sF6))))
| theorem(or(X0,sF8)) ),
inference(resolution,[],[f419,f226]) ).
fof(f914,plain,
! [X0] :
( ~ theorem(or(X0,or(sF2,sF6)))
| theorem(or(X0,sF8)) ),
inference(resolution,[],[f908,f248]) ).
fof(f922,plain,
theorem(or(not(sF5),sF8)),
inference(resolution,[],[f908,f257]) ).
fof(f931,plain,
! [X0] :
( ~ theorem(or(sF5,X0))
| theorem(or(X0,sF8)) ),
inference(resolution,[],[f922,f326]) ).
fof(f944,plain,
! [X0] :
( ~ theorem(or(X0,sF6))
| theorem(or(X0,sF8)) ),
inference(resolution,[],[f914,f248]) ).
fof(f976,plain,
theorem(or(not(q),sF8)),
inference(resolution,[],[f388,f944]) ).
fof(f1072,plain,
theorem(or(not(r),sF8)),
inference(resolution,[],[f149,f944]) ).
fof(f1075,plain,
! [X0] :
( ~ theorem(or(r,X0))
| theorem(or(X0,sF8)) ),
inference(resolution,[],[f1072,f326]) ).
fof(f1100,definition,
( spl9_42
<=> theorem(or(p,sF8)) ),
introduced(definition,[new_symbols(definition,[spl9_42])],[avatar_definition]) ).
fof(f1101,plain,
( theorem(or(p,sF8))
| ~ spl9_42 ),
inference(avatar_component_clause,[],[f1100]) ).
fof(f1102,plain,
( ~ theorem(or(p,sF8))
| spl9_42 ),
inference(avatar_component_clause,[],[f1100]) ).
fof(f1189,plain,
! [X0,X1] :
( ~ theorem(or(X1,X1))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f584,f248]) ).
fof(f1295,plain,
theorem(or(not(q),sF7)),
inference(resolution,[],[f301,f388]) ).
fof(f1301,plain,
( $false
| spl9_26 ),
inference(forward_subsumption_resolution,[],[f1295,f535]) ).
fof(f1302,plain,
spl9_26,
inference(avatar_contradiction_clause,[],[f1301]) ).
fof(f1309,plain,
( ! [X0] :
( ~ theorem(or(X0,p))
| theorem(or(X0,sF8)) )
| ~ spl9_25 ),
inference(resolution,[],[f531,f249]) ).
fof(f1352,plain,
theorem(or(or(sF5,sF3),sF8)),
inference(resolution,[],[f601,f1075]) ).
fof(f1529,plain,
! [X2,X0,X1] :
( ~ theorem(or(or(X0,X2),X1))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f350,f15]) ).
fof(f1965,definition,
( spl9_64
<=> ! [X0] : theorem(or(X0,sF8)) ),
introduced(definition,[new_symbols(definition,[spl9_64])],[avatar_definition]) ).
fof(f1966,plain,
( ! [X0] : theorem(or(X0,sF8))
| ~ spl9_64 ),
inference(avatar_component_clause,[],[f1965]) ).
fof(f1975,plain,
theorem(or(sF5,or(sF8,sF3))),
inference(resolution,[],[f1529,f1352]) ).
fof(f1996,plain,
theorem(or(sF5,or(sF3,sF8))),
inference(resolution,[],[f1975,f243]) ).
fof(f1999,plain,
theorem(or(or(sF3,sF8),sF8)),
inference(resolution,[],[f1996,f931]) ).
fof(f2007,plain,
theorem(or(sF3,or(sF8,sF8))),
inference(resolution,[],[f1999,f1529]) ).
fof(f2831,plain,
( theorem(or(sF8,p))
| ~ spl9_42 ),
inference(resolution,[],[f1101,f169]) ).
fof(f2833,plain,
( theorem(or(sF8,sF8))
| ~ spl9_25
| ~ spl9_42 ),
inference(resolution,[],[f2831,f1309]) ).
fof(f2835,plain,
( ! [X0] : theorem(or(X0,sF8))
| ~ spl9_25
| ~ spl9_42 ),
inference(resolution,[],[f2833,f1189]) ).
fof(f2840,plain,
( spl9_64
| ~ spl9_25
| ~ spl9_42 ),
inference(avatar_split_clause,[],[f2835,f1100,f529,f1965]) ).
fof(f2908,plain,
( theorem(sF8)
| ~ spl9_64 ),
inference(resolution,[],[f1966,f278]) ).
fof(f2954,plain,
( $false
| ~ spl9_64 ),
inference(forward_subsumption_resolution,[],[f2908,f35]) ).
fof(f2955,plain,
~ spl9_64,
inference(avatar_contradiction_clause,[],[f2954]) ).
fof(f3812,plain,
! [X0,X1] :
( theorem(or(not(not(X0)),X1))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f621,f169]) ).
fof(f3859,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(not(not(X0)),X1)) ),
inference(resolution,[],[f3812,f277]) ).
fof(f5467,plain,
theorem(or(not(not(sF3)),sF8)),
inference(resolution,[],[f3859,f2007]) ).
fof(f5480,plain,
! [X0] :
( ~ theorem(or(not(sF3),X0))
| theorem(or(X0,sF8)) ),
inference(resolution,[],[f5467,f326]) ).
fof(f5496,plain,
theorem(or(or(q,p),sF8)),
inference(resolution,[],[f5480,f171]) ).
fof(f5517,plain,
theorem(or(q,or(sF8,p))),
inference(resolution,[],[f5496,f1529]) ).
fof(f5522,plain,
theorem(or(q,or(p,sF8))),
inference(resolution,[],[f5517,f243]) ).
fof(f5545,plain,
( theorem(or(p,sF8))
| ~ theorem(or(not(q),sF8)) ),
inference(resolution,[],[f5522,f586]) ).
fof(f5549,plain,
( ~ theorem(or(not(q),sF8))
| spl9_42 ),
inference(forward_subsumption_resolution,[],[f5545,f1102]) ).
fof(f5552,plain,
( $false
| spl9_42 ),
inference(forward_subsumption_resolution,[],[f5549,f976]) ).
fof(f5553,plain,
spl9_42,
inference(avatar_contradiction_clause,[],[f5552]) ).
cnf(s13,plain,
( spl9_25
| ~ spl9_26 ),
inference(sat_conversion,[],[f536]) ).
cnf(s26,plain,
spl9_26,
inference(sat_conversion,[],[f1302]) ).
cnf(s60,plain,
( ~ spl9_25
| ~ spl9_42
| spl9_64 ),
inference(sat_conversion,[],[f2840]) ).
cnf(s73,plain,
~ spl9_64,
inference(sat_conversion,[],[f2955]) ).
cnf(s111,plain,
spl9_42,
inference(sat_conversion,[],[f5553]) ).
cnf(s117,plain,
~ spl9_25,
inference(rat,[],[s60,s73,s111]) ).
cnf(s123,plain,
$false,
inference(rat,[],[s13,s26,s117]) ).
fof(f5557,plain,
$false,
inference(avatar_sat_refutation,[],[s123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL221-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n020.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 15:28:19 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 18.93/3.32 % (3538109)Input is clausal, will run a generic CNF schedule.
% 18.93/3.32 % (3538150)dis-21_1_sil=8000:lcm=predicate:random_seed=3018460985: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)
% 18.93/3.32 % (3538150)Instruction limit reached!
% 18.93/3.32 % (3538150)------------------------------
% 18.93/3.32 % (3538150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.93/3.32 % (3538150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.93/3.32 % (3538150)CaDiCaL version: 2.1.3
% 18.93/3.32 % (3538150)Termination reason: Instruction limit
% 18.93/3.32 % (3538150)Termination phase: Saturation
% 18.93/3.32 % (3538150)Time elapsed: 0.031 s
% 18.93/3.32 % (3538150)Peak memory usage: 87 MB
% 18.93/3.32 % (3538150)Instructions burned: 118 (million)
% 18.93/3.32 % (3538149)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2860988270:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 18.93/3.32 % (3538146)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1445269630:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 18.93/3.32 % (3538147)lrs+10_1_sil=8000:sp=occurrence:random_seed=3201894440:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 18.93/3.32 % (3538145)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2858986408:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 18.93/3.32 % (3538148)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1748767982:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 18.93/3.32 % (3538144)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=3864880888:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 18.93/3.32 % (3538148)Instruction limit reached!
% 18.93/3.32 % (3538148)------------------------------
% 18.93/3.32 % (3538148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.93/3.32 % (3538148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.93/3.32 % (3538148)CaDiCaL version: 2.1.3
% 18.93/3.32 % (3538148)Termination reason: Instruction limit
% 18.93/3.32 % (3538148)Termination phase: Saturation
% 18.93/3.32 % (3538148)Time elapsed: 0.072 s
% 18.93/3.32 % (3538148)Peak memory usage: 87 MB
% 18.93/3.32 % (3538148)Instructions burned: 114 (million)
% 18.93/3.32 % (3538147)Instruction limit reached!
% 18.93/3.32 % (3538147)------------------------------
% 18.93/3.32 % (3538147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.93/3.32 % (3538147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.93/3.32 % (3538147)CaDiCaL version: 2.1.3
% 18.93/3.32 % (3538147)Termination reason: Instruction limit
% 18.93/3.32 % (3538147)Termination phase: Saturation
% 18.93/3.32 % (3538147)Time elapsed: 0.084 s
% 18.93/3.32 % (3538147)Peak memory usage: 89 MB
% 18.93/3.32 % (3538147)Instructions burned: 107 (million)
% 18.93/3.32 % (3538149)Instruction limit reached!
% 18.93/3.32 % (3538149)------------------------------
% 18.93/3.32 % (3538149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.93/3.32 % (3538149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.93/3.32 % (3538149)CaDiCaL version: 2.1.3
% 18.93/3.32 % (3538149)Termination reason: Instruction limit
% 18.93/3.32 % (3538149)Termination phase: Saturation
% 18.93/3.32 % (3538149)Time elapsed: 0.167 s
% 18.93/3.32 % (3538149)Peak memory usage: 89 MB
% 18.93/3.32 % (3538149)Instructions burned: 180 (million)
% 18.93/3.32 % (3538154)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=2313966302:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 18.93/3.32 % (3538154)Refutation not found, incomplete strategy
% 18.93/3.32 % (3538154)------------------------------
% 18.93/3.32 % (3538154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.93/3.32 % (3538154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.93/3.32 % (3538154)CaDiCaL version: 2.1.3
% 18.93/3.32 % (3538154)Termination reason: Refutation not found, incomplete strategy
% 18.93/3.32 % (3538154)Time elapsed: 0.001 s
% 18.93/3.32 % (3538154)Peak memory usage: 88 MB
% 18.93/3.32 % (3538186)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=82251284: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)
% 19.51/3.46 % (3538187)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1957144101:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 19.51/3.46 % (3538187)Refutation not found, incomplete strategy
% 19.51/3.46 % (3538187)------------------------------
% 19.51/3.46 % (3538187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.51/3.46 % (3538187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.51/3.46 % (3538187)CaDiCaL version: 2.1.3
% 19.51/3.46 % (3538187)Termination reason: Refutation not found, incomplete strategy
% 19.51/3.46 % (3538187)Time elapsed: 0.002 s
% 19.51/3.46 % (3538187)Peak memory usage: 87 MB
% 19.51/3.46 % (3538186)Refutation not found, incomplete strategy
% 19.51/3.46 % (3538186)------------------------------
% 19.51/3.46 % (3538186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.51/3.46 % (3538186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.51/3.46 % (3538186)CaDiCaL version: 2.1.3
% 19.51/3.46 % (3538186)Termination reason: Refutation not found, incomplete strategy
% 19.51/3.46 % (3538186)Time elapsed: 0.002 s
% 19.51/3.46 % (3538186)Peak memory usage: 87 MB
% 19.51/3.46 % (3538154)------------------------------
% 19.51/3.46 % (3538154)------------------------------
% 19.51/3.46 % (3538191)lrs+10_64_to=lpo:sil=8000:random_seed=970057800:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 19.51/3.46 % (3538191)Instruction limit reached!
% 19.51/3.46 % (3538191)------------------------------
% 19.51/3.46 % (3538191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.51/3.46 % (3538191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.51/3.46 % (3538191)CaDiCaL version: 2.1.3
% 19.51/3.46 % (3538191)Termination reason: Instruction limit
% 19.51/3.46 % (3538191)Termination phase: Saturation
% 19.51/3.46 % (3538191)Time elapsed: 0.120 s
% 19.51/3.46 % (3538191)Peak memory usage: 89 MB
% 19.51/3.46 % (3538191)Instructions burned: 126 (million)
% 19.51/3.46 % (3538202)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4024597055:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 19.51/3.46 % (3538187)------------------------------
% 19.51/3.46 % (3538187)------------------------------
% 19.51/3.46 % (3538186)------------------------------
% 19.51/3.46 % (3538186)------------------------------
% 19.51/3.46 % (3538208)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=138111523:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 19.51/3.46 % (3538202)Instruction limit reached!
% 19.51/3.46 % (3538202)------------------------------
% 19.51/3.46 % (3538202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.51/3.46 % (3538202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.51/3.46 % (3538202)CaDiCaL version: 2.1.3
% 19.51/3.46 % (3538202)Termination reason: Instruction limit
% 19.51/3.46 % (3538202)Termination phase: Saturation
% 19.51/3.46 % (3538202)Time elapsed: 0.198 s
% 19.51/3.46 % (3538202)Peak memory usage: 90 MB
% 19.51/3.46 % (3538202)Instructions burned: 194 (million)
% 19.51/3.46 % (3538208)Instruction limit reached!
% 19.51/3.46 % (3538208)------------------------------
% 19.51/3.46 % (3538208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.51/3.46 % (3538208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.51/3.46 % (3538208)CaDiCaL version: 2.1.3
% 19.51/3.46 % (3538208)Termination reason: Instruction limit
% 19.51/3.46 % (3538208)Termination phase: Saturation
% 19.51/3.46 % (3538208)Time elapsed: 0.175 s
% 19.51/3.46 % (3538208)Peak memory usage: 91 MB
% 19.51/3.46 % (3538208)Instructions burned: 157 (million)
% 19.51/3.46 % (3538211)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=3307463644:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2990 on theBenchmark for (2990ds/106Mi)
% 19.51/3.46 % (3538210)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3746696151:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 19.51/3.46 % (3538211)Instruction limit reached!
% 19.51/3.46 % (3538211)------------------------------
% 19.51/3.46 % (3538211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.51/3.46 % (3538211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.51/3.46 % (3538211)CaDiCaL version: 2.1.3
% 19.51/3.46 % (3538211)Termination reason: Instruction limit
% 19.51/3.46 % (3538211)Termination phase: Saturation
% 19.51/3.46 % (3538211)Time elapsed: 0.103 s
% 19.51/3.46 % (3538211)Peak memory usage: 89 MB
% 19.51/3.46 % (3538211)Instructions burned: 107 (million)
% 19.51/3.46 % (3538217)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1029663716:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 19.51/3.46 % (3538217)Refutation not found, incomplete strategy
% 19.51/3.46 % (3538217)------------------------------
% 19.51/3.46 % (3538217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.51/3.46 % (3538217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.51/3.46 % (3538217)CaDiCaL version: 2.1.3
% 19.51/3.46 % (3538217)Termination reason: Refutation not found, incomplete strategy
% 19.51/3.46 % (3538217)Time elapsed: 0.002 s
% 19.51/3.46 % (3538217)Peak memory usage: 87 MB
% 19.51/3.46 % (3538220)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3401926251:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2988 on theBenchmark for (2988ds/242Mi)
% 19.51/3.46 % (3538223)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4073696755:cond=fast:i=5208:av=off_2986 on theBenchmark for (2986ds/5208Mi)
% 19.51/3.46 % (3538217)------------------------------
% 19.51/3.46 % (3538217)------------------------------
% 19.51/3.46 % (3538220)Instruction limit reached!
% 19.51/3.46 % (3538220)------------------------------
% 19.51/3.46 % (3538220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.51/3.46 % (3538220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.51/3.46 % (3538220)CaDiCaL version: 2.1.3
% 19.51/3.46 % (3538220)Termination reason: Instruction limit
% 19.51/3.46 % (3538220)Termination phase: Saturation
% 19.51/3.46 % (3538220)Time elapsed: 0.253 s
% 19.51/3.46 % (3538220)Peak memory usage: 89 MB
% 19.51/3.46 % (3538220)Instructions burned: 242 (million)
% 19.51/3.46 % (3538235)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=963038720:i=134:sd=2:doe=on:ss=axioms:sgt=14_2982 on theBenchmark for (2982ds/134Mi)
% 19.51/3.46 % (3538236)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2519418766:i=499:bd=all_2982 on theBenchmark for (2982ds/499Mi)
% 19.51/3.46 % (3538235)Instruction limit reached!
% 19.51/3.46 % (3538235)------------------------------
% 19.51/3.46 % (3538235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.51/3.46 % (3538235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.51/3.46 % (3538235)CaDiCaL version: 2.1.3
% 19.51/3.46 % (3538235)Termination reason: Instruction limit
% 19.51/3.46 % (3538235)Termination phase: Saturation
% 19.51/3.46 % (3538235)Time elapsed: 0.140 s
% 19.51/3.46 % (3538235)Peak memory usage: 90 MB
% 19.51/3.46 % (3538235)Instructions burned: 134 (million)
% 19.51/3.46 % (3538144)First to succeed.
% 19.51/3.46 % (3538144)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3538109"
% 19.51/3.46 % (3538239)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3244625170:i=191:fgj=on:bd=all_2978 on theBenchmark for (2978ds/191Mi)
% 19.51/3.46 % (3538236)Instruction limit reached!
% 19.51/3.46 % (3538236)------------------------------
% 19.51/3.46 % (3538236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.51/3.46 % (3538236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.51/3.46 % (3538236)CaDiCaL version: 2.1.3
% 19.51/3.46 % (3538236)Termination reason: Instruction limit
% 19.51/3.46 % (3538236)Termination phase: Saturation
% 19.51/3.46 % (3538236)Time elapsed: 0.476 s
% 19.51/3.46 % (3538236)Peak memory usage: 93 MB
% 19.51/3.46 % (3538236)Instructions burned: 499 (million)
% 19.51/3.46 % (3538239)Instruction limit reached!
% 19.51/3.46 % (3538239)------------------------------
% 19.51/3.46 % (3538239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.51/3.46 % (3538239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.51/3.46 % (3538239)CaDiCaL version: 2.1.3
% 19.51/3.46 % (3538239)Termination reason: Instruction limit
% 19.51/3.46 % (3538239)Termination phase: Saturation
% 19.51/3.46 % (3538239)Time elapsed: 0.203 s
% 19.51/3.46 % (3538239)Peak memory usage: 92 MB
% 19.51/3.46 % (3538239)Instructions burned: 191 (million)
% 19.51/3.46 % (3538210)Also succeeded, but the first one will report.
% 19.51/3.46 % (3538144)Refutation found. Thanks to Tanya!
% 19.51/3.46 % SZS status Unsatisfiable for theBenchmark
% 19.51/3.46 % SZS output start Proof for theBenchmark
% See solution above
% 20.30/3.66 % (3538144)------------------------------
% 20.30/3.66 % (3538144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.30/3.66 % (3538144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.66 % (3538144)CaDiCaL version: 2.1.3
% 20.30/3.66 % (3538144)Termination reason: Refutation
% 20.30/3.66 % (3538144)Time elapsed: 2.207 s
% 20.30/3.66 % (3538144)Peak memory usage: 141 MB
% 20.30/3.66 % (3538144)Instructions burned: 2212 (million)
% 20.30/3.66 % (3538144)------------------------------
% 20.30/3.66 % (3538144)------------------------------
% 20.30/3.66 % (3538109)Success in time 2.822 s
% 20.30/3.66 % Vampire exiting
%------------------------------------------------------------------------------