%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL227-3 : 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 : n003.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 11:51:40 AM UTC 2026
% Result : Unsatisfiable 14.64s 2.79s
% Output : Refutation 15.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 24
% Syntax : Number of formulae : 111 ( 75 unt; 15 def)
% Number of atoms : 155 ( 27 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 94 ( 50 ~; 42 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 17 con; 0-2 aty)
% Number of variables : 103 ( 0 sgn 103 !; 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(q,implies(r,s)),implies(or(p,q),implies(or(p,r),or(p,s))))),
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(q),or(not(r),s))),or(not(or(p,q)),or(not(or(p,r)),or(p,s))))),
inference(definition_unfolding,[],[f9,f6,f6,f6,f6,f6]) ).
fof(f17,definition,
sF0 = not(q),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f18,plain,
not(q) = sF0,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF1 = not(r),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f20,plain,
not(r) = sF1,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF2 = or(sF1,s),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f22,plain,
or(sF1,s) = sF2,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF3 = or(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f24,plain,
or(sF0,sF2) = sF3,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF4 = not(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f26,plain,
not(sF3) = sF4,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF5 = or(p,q),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f28,plain,
or(p,q) = sF5,
inference(reorient_equations,[],[f27]) ).
fof(f29,definition,
sF6 = not(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f30,plain,
not(sF5) = sF6,
inference(reorient_equations,[],[f29]) ).
fof(f31,definition,
sF7 = or(p,r),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f32,plain,
or(p,r) = sF7,
inference(reorient_equations,[],[f31]) ).
fof(f33,definition,
sF8 = not(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f34,plain,
not(sF7) = sF8,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF9 = or(p,s),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f36,plain,
or(p,s) = sF9,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF10 = or(sF8,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f38,plain,
or(sF8,sF9) = sF10,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF11 = or(sF6,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f40,plain,
or(sF6,sF10) = sF11,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF12 = or(sF4,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f42,plain,
or(sF4,sF11) = sF12,
inference(reorient_equations,[],[f41]) ).
fof(f43,plain,
~ theorem(sF12),
inference(definition_folding,[],[f16,f42,f40,f38,f36,f34,f32,f30,f28,f26,f24,f22,f20,f18]) ).
fof(f46,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f7,f14]) ).
fof(f53,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f13,f7]) ).
fof(f57,plain,
! [X0] : theorem(or(not(or(sF4,or(X0,sF11))),or(X0,sF12))),
inference(superposition,[],[f53,f42]) ).
fof(f62,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f15,f46]) ).
fof(f136,plain,
! [X0] : theorem(or(not(or(not(r),X0)),or(not(sF7),or(p,X0)))),
inference(superposition,[],[f46,f32]) ).
fof(f141,plain,
! [X0] : theorem(or(not(or(not(r),X0)),or(sF8,or(p,X0)))),
inference(forward_demodulation,[],[f136,f34]) ).
fof(f143,plain,
! [X0] : theorem(or(not(or(sF1,X0)),or(sF8,or(p,X0)))),
inference(forward_demodulation,[],[f141,f20]) ).
fof(f161,plain,
! [X0] : theorem(or(not(or(sF6,or(X0,sF10))),or(X0,sF11))),
inference(superposition,[],[f53,f40]) ).
fof(f187,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f11,f7]) ).
fof(f220,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f12,f7]) ).
fof(f244,plain,
theorem(or(not(sF5),or(q,p))),
inference(superposition,[],[f220,f28]) ).
fof(f259,plain,
theorem(or(sF6,or(q,p))),
inference(forward_demodulation,[],[f244,f30]) ).
fof(f261,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f62,f15]) ).
fof(f266,plain,
! [X0] :
( theorem(or(not(sF3),or(sF0,X0)))
| ~ theorem(or(not(sF2),X0)) ),
inference(superposition,[],[f62,f24]) ).
fof(f279,plain,
! [X0] :
( theorem(or(sF4,or(sF0,X0)))
| ~ theorem(or(not(sF2),X0)) ),
inference(forward_demodulation,[],[f266,f26]) ).
fof(f285,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X2,or(X1,X3))))
| theorem(or(X0,or(X1,or(X2,X3)))) ),
inference(resolution,[],[f261,f53]) ).
fof(f286,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f261,f220]) ).
fof(f287,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) ),
inference(resolution,[],[f261,f62]) ).
fof(f288,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f261,f187]) ).
fof(f298,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f286,f187]) ).
fof(f357,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,[],[f287,f53]) ).
fof(f358,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f287,f220]) ).
fof(f371,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f10,f7]) ).
fof(f372,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f371,f261]) ).
fof(f384,plain,
! [X0] :
( ~ theorem(or(sF4,or(X0,sF11)))
| theorem(or(X0,sF12)) ),
inference(resolution,[],[f57,f15]) ).
fof(f404,plain,
! [X0] :
( ~ theorem(or(X0,sF10))
| theorem(or(X0,sF11)) ),
inference(superposition,[],[f288,f40]) ).
fof(f405,plain,
! [X0] :
( ~ theorem(or(X0,sF9))
| theorem(or(X0,sF10)) ),
inference(superposition,[],[f288,f38]) ).
fof(f408,plain,
! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1)))),
inference(resolution,[],[f285,f220]) ).
fof(f483,plain,
theorem(or(not(or(sF1,s)),or(sF8,sF9))),
inference(superposition,[],[f143,f36]) ).
fof(f486,plain,
theorem(or(not(or(sF1,s)),sF10)),
inference(forward_demodulation,[],[f483,f38]) ).
fof(f488,plain,
theorem(or(not(sF2),sF10)),
inference(forward_demodulation,[],[f486,f22]) ).
fof(f508,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f358,f15]) ).
fof(f512,plain,
! [X0,X1] :
( theorem(or(not(or(X0,X1)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f358,f372]) ).
fof(f535,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(X3,X2))
| ~ theorem(or(X0,or(X3,X1))) ),
inference(resolution,[],[f357,f15]) ).
fof(f784,plain,
! [X2,X0,X1] :
( ~ theorem(or(X2,or(X0,X1)))
| theorem(or(X0,X1))
| ~ theorem(or(not(X2),X1)) ),
inference(resolution,[],[f535,f512]) ).
fof(f827,plain,
theorem(or(not(p),sF9)),
inference(superposition,[],[f298,f36]) ).
fof(f959,plain,
theorem(or(not(or(sF6,or(sF4,sF10))),sF12)),
inference(superposition,[],[f161,f42]) ).
fof(f1009,plain,
! [X0] :
( ~ theorem(or(X0,sF12))
| theorem(sF12)
| ~ theorem(or(not(X0),sF11)) ),
inference(superposition,[],[f784,f42]) ).
fof(f1014,plain,
! [X0] :
( ~ theorem(or(not(X0),sF11))
| ~ theorem(or(X0,sF12)) ),
inference(forward_subsumption_resolution,[],[f1009,f43]) ).
fof(f1112,plain,
! [X0] :
( ~ theorem(or(X0,or(sF6,or(sF4,sF10))))
| theorem(or(X0,sF12)) ),
inference(resolution,[],[f959,f261]) ).
fof(f1126,plain,
theorem(or(not(sF6),sF12)),
inference(resolution,[],[f1112,f298]) ).
fof(f1135,plain,
! [X0] :
( ~ theorem(or(sF6,X0))
| theorem(or(X0,sF12)) ),
inference(resolution,[],[f1126,f508]) ).
fof(f1141,plain,
theorem(or(or(q,p),sF12)),
inference(resolution,[],[f1135,f259]) ).
fof(f1221,plain,
( ~ theorem(or(not(sF2),sF11))
| theorem(or(sF0,sF12)) ),
inference(resolution,[],[f279,f384]) ).
fof(f1233,definition,
( spl13_65
<=> theorem(or(sF0,sF12)) ),
introduced(definition,[new_symbols(definition,[spl13_65])],[avatar_definition]) ).
fof(f1235,plain,
( theorem(or(sF0,sF12))
| ~ spl13_65 ),
inference(avatar_component_clause,[],[f1233]) ).
fof(f1237,definition,
( spl13_66
<=> theorem(or(not(sF2),sF11)) ),
introduced(definition,[new_symbols(definition,[spl13_66])],[avatar_definition]) ).
fof(f1239,plain,
( ~ theorem(or(not(sF2),sF11))
| spl13_66 ),
inference(avatar_component_clause,[],[f1237]) ).
fof(f1240,plain,
( spl13_65
| ~ spl13_66 ),
inference(avatar_split_clause,[],[f1221,f1237,f1233]) ).
fof(f1326,plain,
! [X2,X0,X1] :
( ~ theorem(or(or(X0,X2),X1))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f408,f15]) ).
fof(f1978,plain,
theorem(or(not(p),sF10)),
inference(resolution,[],[f405,f827]) ).
fof(f2097,plain,
theorem(or(not(p),sF11)),
inference(resolution,[],[f404,f1978]) ).
fof(f2099,plain,
theorem(or(not(sF2),sF11)),
inference(resolution,[],[f404,f488]) ).
fof(f2107,plain,
( $false
| spl13_66 ),
inference(forward_subsumption_resolution,[],[f2099,f1239]) ).
fof(f2108,plain,
spl13_66,
inference(avatar_contradiction_clause,[],[f2107]) ).
fof(f2131,plain,
~ theorem(or(p,sF12)),
inference(resolution,[],[f2097,f1014]) ).
fof(f3087,plain,
theorem(or(q,or(sF12,p))),
inference(resolution,[],[f1326,f1141]) ).
fof(f3189,plain,
theorem(or(q,or(p,sF12))),
inference(resolution,[],[f3087,f286]) ).
fof(f3233,plain,
( theorem(or(p,sF12))
| ~ theorem(or(not(q),sF12)) ),
inference(resolution,[],[f3189,f784]) ).
fof(f3238,plain,
~ theorem(or(not(q),sF12)),
inference(forward_subsumption_resolution,[],[f3233,f2131]) ).
fof(f3239,plain,
~ theorem(or(sF0,sF12)),
inference(forward_demodulation,[],[f3238,f18]) ).
fof(f3240,plain,
( $false
| ~ spl13_65 ),
inference(forward_subsumption_resolution,[],[f3239,f1235]) ).
fof(f3241,plain,
~ spl13_65,
inference(avatar_contradiction_clause,[],[f3240]) ).
cnf(s33,plain,
( spl13_65
| ~ spl13_66 ),
inference(sat_conversion,[],[f1240]) ).
cnf(s53,plain,
spl13_66,
inference(sat_conversion,[],[f2108]) ).
cnf(s81,plain,
~ spl13_65,
inference(sat_conversion,[],[f3241]) ).
cnf(s86,plain,
$false,
inference(rat,[],[s33,s53,s81]) ).
fof(f3242,plain,
$false,
inference(avatar_sat_refutation,[],[s86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL227-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n003.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 15:29:26 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 14.64/2.78 % (709754)Input is clausal, will run a generic CNF schedule.
% 14.64/2.78 % (709783)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2067802527:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 14.64/2.78 % (709778)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=2656253647:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 14.64/2.78 % (709782)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3511009730:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 14.64/2.78 % (709781)lrs+10_1_sil=8000:sp=occurrence:random_seed=2811295969:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 14.64/2.78 % (709779)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3545003696:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 14.64/2.78 % (709784)dis-21_1_sil=8000:lcm=predicate:random_seed=528000153: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)
% 14.64/2.78 % (709780)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=193163408:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 14.64/2.78 % (709783)Instruction limit reached!
% 14.64/2.78 % (709783)------------------------------
% 14.64/2.78 % (709783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/2.78 % (709783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/2.78 % (709783)CaDiCaL version: 2.1.3
% 14.64/2.78 % (709783)Termination reason: Instruction limit
% 14.64/2.78 % (709783)Termination phase: Saturation
% 14.64/2.78 % (709783)Time elapsed: 0.061 s
% 14.64/2.78 % (709783)Peak memory usage: 89 MB
% 14.64/2.78 % (709783)Instructions burned: 182 (million)
% 14.64/2.78 % (709782)Instruction limit reached!
% 14.64/2.78 % (709782)------------------------------
% 14.64/2.78 % (709782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/2.78 % (709782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/2.78 % (709782)CaDiCaL version: 2.1.3
% 14.64/2.78 % (709782)Termination reason: Instruction limit
% 14.64/2.78 % (709782)Termination phase: Saturation
% 14.64/2.78 % (709782)Time elapsed: 0.061 s
% 14.64/2.78 % (709782)Peak memory usage: 87 MB
% 14.64/2.78 % (709782)Instructions burned: 114 (million)
% 14.64/2.78 % (709784)Instruction limit reached!
% 14.64/2.78 % (709784)------------------------------
% 14.64/2.78 % (709784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/2.78 % (709784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/2.78 % (709784)CaDiCaL version: 2.1.3
% 14.64/2.78 % (709784)Termination reason: Instruction limit
% 14.64/2.78 % (709784)Termination phase: Saturation
% 14.64/2.78 % (709784)Time elapsed: 0.061 s
% 14.64/2.78 % (709784)Peak memory usage: 87 MB
% 14.64/2.78 % (709784)Instructions burned: 118 (million)
% 14.64/2.78 % (709781)Instruction limit reached!
% 14.64/2.78 % (709781)------------------------------
% 14.64/2.78 % (709781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/2.78 % (709781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/2.78 % (709781)CaDiCaL version: 2.1.3
% 14.64/2.78 % (709781)Termination reason: Instruction limit
% 14.64/2.78 % (709781)Termination phase: Saturation
% 14.64/2.78 % (709781)Time elapsed: 0.071 s
% 14.64/2.78 % (709781)Peak memory usage: 89 MB
% 14.64/2.78 % (709781)Instructions burned: 108 (million)
% 14.64/2.78 % (709806)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4195323285: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)
% 14.64/2.78 % (709807)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2463665362:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 14.64/2.78 % (709807)Refutation not found, incomplete strategy
% 14.64/2.78 % (709807)------------------------------
% 14.64/2.78 % (709807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/2.78 % (709807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/2.78 % (709807)CaDiCaL version: 2.1.3
% 14.64/2.78 % (709807)Termination reason: Refutation not found, incomplete strategy
% 14.64/2.78 % (709807)Time elapsed: 0.001 s
% 14.64/2.78 % (709807)Peak memory usage: 87 MB
% 14.64/2.78 % (709806)Refutation not found, incomplete strategy
% 14.64/2.78 % (709806)------------------------------
% 14.64/2.78 % (709806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/2.78 % (709806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/2.78 % (709806)CaDiCaL version: 2.1.3
% 14.64/2.78 % (709806)Termination reason: Refutation not found, incomplete strategy
% 14.64/2.78 % (709806)Time elapsed: 0.001 s
% 14.64/2.78 % (709806)Peak memory usage: 87 MB
% 14.64/2.78 % (709805)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=783952239:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 14.64/2.78 % (709805)Refutation not found, incomplete strategy
% 14.64/2.78 % (709805)------------------------------
% 14.64/2.78 % (709805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/2.78 % (709805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/2.78 % (709805)CaDiCaL version: 2.1.3
% 14.64/2.78 % (709805)Termination reason: Refutation not found, incomplete strategy
% 14.64/2.78 % (709805)Time elapsed: 0.002 s
% 14.64/2.78 % (709805)Peak memory usage: 88 MB
% 14.64/2.78 % (709808)lrs+10_64_to=lpo:sil=8000:random_seed=1968744857:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 14.64/2.78 % (709808)Instruction limit reached!
% 14.64/2.78 % (709808)------------------------------
% 14.64/2.78 % (709808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/2.78 % (709808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/2.78 % (709808)CaDiCaL version: 2.1.3
% 14.64/2.78 % (709808)Termination reason: Instruction limit
% 14.64/2.78 % (709808)Termination phase: Saturation
% 14.64/2.78 % (709808)Time elapsed: 0.073 s
% 14.64/2.78 % (709808)Peak memory usage: 89 MB
% 14.64/2.78 % (709808)Instructions burned: 127 (million)
% 14.64/2.78 % (709805)------------------------------
% 14.64/2.78 % (709805)------------------------------
% 14.64/2.78 % (709807)------------------------------
% 14.64/2.78 % (709807)------------------------------
% 14.64/2.78 % (709806)------------------------------
% 14.64/2.78 % (709806)------------------------------
% 14.64/2.78 % (709813)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2829351753:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 14.64/2.78 % (709814)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2318637218:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 14.64/2.78 % (709814)Instruction limit reached!
% 14.64/2.78 % (709814)------------------------------
% 14.64/2.78 % (709814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/2.78 % (709814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/2.78 % (709814)CaDiCaL version: 2.1.3
% 14.64/2.78 % (709814)Termination reason: Instruction limit
% 14.64/2.78 % (709814)Termination phase: Saturation
% 14.64/2.78 % (709814)Time elapsed: 0.054 s
% 14.64/2.78 % (709814)Peak memory usage: 91 MB
% 14.64/2.78 % (709814)Instructions burned: 158 (million)
% 14.64/2.78 % (709815)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2410445583:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 14.64/2.78 % (709816)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=3749017791:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 14.64/2.78 % (709813)Instruction limit reached!
% 14.64/2.78 % (709813)------------------------------
% 14.64/2.78 % (709813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/2.78 % (709813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/2.78 % (709813)CaDiCaL version: 2.1.3
% 14.64/2.78 % (709813)Termination reason: Instruction limit
% 14.64/2.78 % (709813)Termination phase: Saturation
% 14.64/2.78 % (709813)Time elapsed: 0.148 s
% 14.64/2.78 % (709813)Peak memory usage: 90 MB
% 14.64/2.78 % (709813)Instructions burned: 194 (million)
% 14.64/2.78 % (709816)Instruction limit reached!
% 14.64/2.78 % (709816)------------------------------
% 14.64/2.78 % (709816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/2.78 % (709816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/2.78 % (709816)CaDiCaL version: 2.1.3
% 14.64/2.78 % (709816)Termination reason: Instruction limit
% 14.64/2.78 % (709816)Termination phase: Saturation
% 14.64/2.78 % (709816)Time elapsed: 0.057 s
% 14.64/2.78 % (709816)Peak memory usage: 89 MB
% 14.64/2.78 % (709816)Instructions burned: 107 (million)
% 14.64/2.78 % (709819)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=48179579:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 14.64/2.78 % (709819)Refutation not found, incomplete strategy
% 14.64/2.78 % (709819)------------------------------
% 14.64/2.78 % (709819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/2.78 % (709819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/2.78 % (709819)CaDiCaL version: 2.1.3
% 14.64/2.78 % (709819)Termination reason: Refutation not found, incomplete strategy
% 14.64/2.78 % (709819)Time elapsed: 0.001 s
% 14.64/2.78 % (709819)Peak memory usage: 87 MB
% 14.64/2.78 % (709822)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1569029990:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 14.64/2.78 % (709830)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2284732213:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 14.64/2.78 % (709819)------------------------------
% 14.64/2.78 % (709819)------------------------------
% 14.64/2.78 % (709822)Instruction limit reached!
% 14.64/2.78 % (709822)------------------------------
% 14.64/2.78 % (709822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/2.78 % (709822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/2.78 % (709822)CaDiCaL version: 2.1.3
% 14.64/2.78 % (709822)Termination reason: Instruction limit
% 14.64/2.78 % (709822)Termination phase: Saturation
% 14.64/2.78 % (709822)Time elapsed: 0.170 s
% 14.64/2.78 % (709822)Peak memory usage: 89 MB
% 14.64/2.78 % (709822)Instructions burned: 243 (million)
% 14.64/2.78 % (709844)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=432467367:i=134:sd=2:doe=on:ss=axioms:sgt=14_2988 on theBenchmark for (2988ds/134Mi)
% 14.64/2.78 % (709844)Instruction limit reached!
% 14.64/2.78 % (709844)------------------------------
% 14.64/2.78 % (709844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/2.78 % (709844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/2.78 % (709844)CaDiCaL version: 2.1.3
% 14.64/2.78 % (709844)Termination reason: Instruction limit
% 14.64/2.78 % (709844)Termination phase: Saturation
% 14.64/2.78 % (709844)Time elapsed: 0.084 s
% 14.64/2.78 % (709844)Peak memory usage: 90 MB
% 14.64/2.78 % (709844)Instructions burned: 135 (million)
% 14.64/2.78 % (709846)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=4019766315:i=499:bd=all_2987 on theBenchmark for (2987ds/499Mi)
% 14.64/2.78 % (709778)First to succeed.
% 14.64/2.78 % (709778)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-709754"
% 14.64/2.78 % (709854)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=594335478:i=191:fgj=on:bd=all_2985 on theBenchmark for (2985ds/191Mi)
% 14.64/2.78 % (709815)Also succeeded, but the first one will report.
% 14.64/2.78 % (709854)Instruction limit reached!
% 14.64/2.78 % (709854)------------------------------
% 14.64/2.78 % (709854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/2.79 % (709854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/2.79 % (709854)CaDiCaL version: 2.1.3
% 14.64/2.79 % (709854)Termination reason: Instruction limit
% 14.64/2.79 % (709854)Termination phase: Saturation
% 14.64/2.79 % (709854)Time elapsed: 0.187 s
% 14.64/2.79 % (709854)Peak memory usage: 92 MB
% 14.64/2.79 % (709854)Instructions burned: 192 (million)
% 14.64/2.79 % (709846)Instruction limit reached!
% 14.64/2.79 % (709846)------------------------------
% 14.64/2.79 % (709846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.64/2.79 % (709846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/2.79 % (709846)CaDiCaL version: 2.1.3
% 14.64/2.79 % (709846)Termination reason: Instruction limit
% 14.64/2.79 % (709846)Termination phase: Saturation
% 14.64/2.79 % (709846)Time elapsed: 0.468 s
% 14.64/2.79 % (709846)Peak memory usage: 93 MB
% 14.64/2.79 % (709846)Instructions burned: 500 (million)
% 14.64/2.79 % (709778)Refutation found. Thanks to Tanya!
% 14.64/2.79 % SZS status Unsatisfiable for theBenchmark
% 14.64/2.79 % SZS output start Proof for theBenchmark
% See solution above
% 15.66/2.93 % (709778)------------------------------
% 15.66/2.93 % (709778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.66/2.93 % (709778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.66/2.93 % (709778)CaDiCaL version: 2.1.3
% 15.66/2.93 % (709778)Termination reason: Refutation
% 15.66/2.93 % (709778)Time elapsed: 1.587 s
% 15.66/2.93 % (709778)Peak memory usage: 136 MB
% 15.66/2.93 % (709778)Instructions burned: 1701 (million)
% 15.66/2.93 % (709778)------------------------------
% 15.66/2.93 % (709778)------------------------------
% 15.66/2.93 % (709754)Success in time 2.171 s
% 15.66/2.93 % Vampire exiting
%------------------------------------------------------------------------------