%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL335-3 : 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 : n007.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 11:52:01 AM UTC 2026
% Result : Unsatisfiable 17.58s 3.69s
% Output : Refutation 18.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 27
% Syntax : Number of formulae : 126 ( 86 unt; 16 def)
% Number of atoms : 176 ( 36 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 107 ( 57 ~; 50 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 19 con; 0-2 aty)
% Number of variables : 131 ( 131 !; 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,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_defn) ).
fof(f10,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivalent_defn) ).
fof(f11,negated_conjecture,
~ theorem(implies(and(implies(p,q),implies(q,r)),implies(p,equivalent(q,r)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f12,plain,
! [X0,X1] : equivalent(X0,X1) = not(or(not(or(not(X0),X1)),not(or(not(X1),X0)))),
inference(definition_unfolding,[],[f10,f9,f6,f6]) ).
fof(f13,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f14,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f15,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f16,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f17,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(f18,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f19,plain,
~ theorem(or(not(not(or(not(or(not(p),q)),not(or(not(q),r))))),or(not(p),not(or(not(or(not(q),r)),not(or(not(r),q))))))),
inference(definition_unfolding,[],[f11,f6,f9,f6,f6,f6,f12]) ).
fof(f20,definition,
sF0 = not(p),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f21,plain,
not(p) = sF0,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF1 = or(sF0,q),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f23,plain,
or(sF0,q) = sF1,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF2 = not(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f25,plain,
not(sF1) = sF2,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF3 = not(q),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f27,plain,
not(q) = sF3,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF4 = or(sF3,r),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f29,plain,
or(sF3,r) = sF4,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF5 = not(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f31,plain,
not(sF4) = sF5,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF6 = or(sF2,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f33,plain,
or(sF2,sF5) = sF6,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF7 = not(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f35,plain,
not(sF6) = sF7,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF8 = not(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f37,plain,
not(sF7) = sF8,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF9 = not(r),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f39,plain,
not(r) = sF9,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF10 = or(sF9,q),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f41,plain,
or(sF9,q) = sF10,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF11 = not(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f43,plain,
not(sF10) = sF11,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF12 = or(sF5,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f45,plain,
or(sF5,sF11) = sF12,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF13 = not(sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f47,plain,
not(sF12) = sF13,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF14 = or(sF0,sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f49,plain,
or(sF0,sF13) = sF14,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF15 = or(sF8,sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f51,plain,
or(sF8,sF14) = sF15,
inference(reorient_equations,[],[f50]) ).
fof(f52,plain,
~ theorem(sF15),
inference(definition_folding,[],[f19,f51,f49,f47,f45,f43,f41,f39,f31,f29,f27,f21,f37,f35,f33,f31,f29,f27,f25,f23,f21]) ).
fof(f53,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f17,f7]) ).
fof(f64,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f16,f7]) ).
fof(f79,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f18,f53]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f18,f64]) ).
fof(f153,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2)))),
inference(resolution,[],[f80,f53]) ).
fof(f163,plain,
! [X0] : theorem(or(not(or(sF0,or(X0,sF13))),or(X0,sF14))),
inference(superposition,[],[f64,f49]) ).
fof(f237,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f15,f7]) ).
fof(f257,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f237,f18]) ).
fof(f260,plain,
theorem(or(not(sF1),or(q,sF0))),
inference(superposition,[],[f237,f23]) ).
fof(f277,plain,
theorem(or(sF2,or(q,sF0))),
inference(forward_demodulation,[],[f260,f25]) ).
fof(f297,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f79,f18]) ).
fof(f323,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X2,or(X1,X3))))
| theorem(or(X0,or(X1,or(X2,X3)))) ),
inference(resolution,[],[f297,f64]) ).
fof(f324,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f297,f237]) ).
fof(f325,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) ),
inference(resolution,[],[f297,f79]) ).
fof(f331,plain,
! [X0,X1] :
( ~ theorem(or(sF7,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF6)) ),
inference(superposition,[],[f297,f35]) ).
fof(f333,plain,
! [X0,X1] :
( ~ theorem(or(sF11,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF10)) ),
inference(superposition,[],[f297,f43]) ).
fof(f347,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,[],[f325,f64]) ).
fof(f348,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f325,f237]) ).
fof(f362,plain,
! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1)))),
inference(resolution,[],[f323,f237]) ).
fof(f372,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(X3,X2))
| ~ theorem(or(X0,or(X3,X1))) ),
inference(resolution,[],[f347,f18]) ).
fof(f392,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f14,f7]) ).
fof(f412,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f392,f297]) ).
fof(f415,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f392,f324]) ).
fof(f430,plain,
theorem(or(not(sF5),sF6)),
inference(superposition,[],[f392,f33]) ).
fof(f434,plain,
theorem(or(not(q),sF10)),
inference(superposition,[],[f392,f41]) ).
fof(f435,plain,
theorem(or(sF3,sF10)),
inference(forward_demodulation,[],[f434,f27]) ).
fof(f439,plain,
! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f153,f18]) ).
fof(f487,plain,
! [X0,X1] :
( theorem(or(not(or(sF5,X0)),or(X1,X0)))
| ~ theorem(or(X1,sF4)) ),
inference(superposition,[],[f439,f31]) ).
fof(f502,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f412,f324]) ).
fof(f514,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f348,f18]) ).
fof(f539,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f13,f7]) ).
fof(f540,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f539,f297]) ).
fof(f550,plain,
! [X0,X1] :
( theorem(or(not(or(X0,X1)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f540,f348]) ).
fof(f553,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f540,f392]) ).
fof(f618,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f553,f257]) ).
fof(f623,plain,
theorem(or(sF5,sF4)),
inference(superposition,[],[f553,f31]) ).
fof(f690,plain,
! [X0] :
( theorem(or(X0,not(sF7)))
| ~ theorem(or(X0,sF6)) ),
inference(resolution,[],[f331,f618]) ).
fof(f691,plain,
! [X0] :
( ~ theorem(or(X0,sF6))
| theorem(or(X0,sF8)) ),
inference(forward_demodulation,[],[f690,f37]) ).
fof(f723,plain,
theorem(or(not(sF0),sF14)),
inference(superposition,[],[f415,f49]) ).
fof(f725,plain,
theorem(or(not(sF2),sF6)),
inference(superposition,[],[f415,f33]) ).
fof(f755,plain,
! [X0] :
( ~ theorem(or(X0,sF8))
| theorem(or(X0,sF15)) ),
inference(superposition,[],[f502,f51]) ).
fof(f867,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X2,X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f550,f372]) ).
fof(f984,plain,
! [X0] :
( ~ theorem(or(X0,sF15))
| theorem(sF15)
| ~ theorem(or(not(X0),sF14)) ),
inference(superposition,[],[f867,f51]) ).
fof(f987,plain,
! [X0] :
( ~ theorem(or(not(X0),sF14))
| ~ theorem(or(X0,sF15)) ),
inference(forward_subsumption_resolution,[],[f984,f52]) ).
fof(f1112,plain,
! [X2,X0,X1] :
( ~ theorem(or(or(X0,X2),X1))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f362,f18]) ).
fof(f1159,plain,
theorem(or(not(or(sF0,or(sF8,sF13))),sF15)),
inference(superposition,[],[f163,f51]) ).
fof(f1161,plain,
! [X0] :
( ~ theorem(or(X0,or(sF0,or(sF8,sF13))))
| theorem(or(X0,sF15)) ),
inference(resolution,[],[f1159,f297]) ).
fof(f1167,plain,
! [X0] :
( ~ theorem(or(X0,or(sF8,sF13)))
| theorem(or(X0,sF15)) ),
inference(resolution,[],[f1161,f412]) ).
fof(f1200,plain,
theorem(or(not(sF13),sF15)),
inference(resolution,[],[f1167,f392]) ).
fof(f1296,plain,
! [X0] :
( theorem(or(not(sF12),or(X0,sF11)))
| ~ theorem(or(X0,sF4)) ),
inference(superposition,[],[f487,f45]) ).
fof(f1346,plain,
! [X0] :
( theorem(or(sF13,or(X0,sF11)))
| ~ theorem(or(X0,sF4)) ),
inference(forward_demodulation,[],[f1296,f47]) ).
fof(f1708,plain,
! [X0] :
( theorem(or(X0,or(sF13,sF11)))
| ~ theorem(or(X0,sF4)) ),
inference(resolution,[],[f1346,f80]) ).
fof(f2078,plain,
theorem(or(not(sF2),sF8)),
inference(resolution,[],[f725,f691]) ).
fof(f2084,plain,
theorem(or(not(sF2),sF15)),
inference(resolution,[],[f2078,f755]) ).
fof(f2086,plain,
! [X0] :
( ~ theorem(or(sF2,X0))
| theorem(or(X0,sF15)) ),
inference(resolution,[],[f2084,f514]) ).
fof(f2094,plain,
theorem(or(or(q,sF0),sF15)),
inference(resolution,[],[f2086,f277]) ).
fof(f2281,plain,
theorem(or(not(sF5),sF8)),
inference(resolution,[],[f430,f691]) ).
fof(f2286,plain,
theorem(or(not(sF5),sF15)),
inference(resolution,[],[f2281,f755]) ).
fof(f2288,plain,
! [X0] :
( ~ theorem(or(sF5,X0))
| theorem(or(X0,sF15)) ),
inference(resolution,[],[f2286,f514]) ).
fof(f2302,plain,
( theorem(or(or(sF13,sF11),sF15))
| ~ theorem(or(sF5,sF4)) ),
inference(resolution,[],[f2288,f1708]) ).
fof(f2306,plain,
theorem(or(or(sF13,sF11),sF15)),
inference(forward_subsumption_resolution,[],[f2302,f623]) ).
fof(f3398,plain,
~ theorem(or(sF0,sF15)),
inference(resolution,[],[f987,f723]) ).
fof(f3477,plain,
theorem(or(q,or(sF15,sF0))),
inference(resolution,[],[f1112,f2094]) ).
fof(f3482,plain,
theorem(or(sF13,or(sF15,sF11))),
inference(resolution,[],[f1112,f2306]) ).
fof(f3493,plain,
theorem(or(sF13,or(sF11,sF15))),
inference(resolution,[],[f3482,f324]) ).
fof(f3509,plain,
( theorem(or(sF11,sF15))
| ~ theorem(or(not(sF13),sF15)) ),
inference(resolution,[],[f3493,f867]) ).
fof(f3511,plain,
theorem(or(sF11,sF15)),
inference(forward_subsumption_resolution,[],[f3509,f1200]) ).
fof(f3513,plain,
! [X0] :
( ~ theorem(or(X0,sF10))
| theorem(or(X0,sF15)) ),
inference(resolution,[],[f3511,f333]) ).
fof(f3515,plain,
theorem(or(sF3,sF15)),
inference(resolution,[],[f3513,f435]) ).
fof(f3653,plain,
theorem(or(q,or(sF0,sF15))),
inference(resolution,[],[f3477,f324]) ).
fof(f3672,plain,
( theorem(or(sF0,sF15))
| ~ theorem(or(not(q),sF15)) ),
inference(resolution,[],[f3653,f867]) ).
fof(f3674,plain,
~ theorem(or(not(q),sF15)),
inference(forward_subsumption_resolution,[],[f3672,f3398]) ).
fof(f3676,plain,
~ theorem(or(sF3,sF15)),
inference(forward_demodulation,[],[f3674,f27]) ).
fof(f3678,plain,
$false,
inference(forward_subsumption_resolution,[],[f3676,f3515]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL335-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.44 % Computer : n007.cluster.edu
% 0.14/0.44 % Model : x86_64 x86_64
% 0.14/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.44 % Memory : 8046.5625MB
% 0.14/0.44 % OS : Linux 6.8.0-71-generic
% 0.14/0.44 % CPULimit : 300
% 0.14/0.44 % WCLimit : 300
% 0.14/0.44 % DateTime : Sun Sep 27 15:33:11 UTC 2026
% 0.14/0.45 % CPUTime :
% 0.14/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.50 Running first-order theorem proving
% 0.19/0.50 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
% 15.86/3.31 % (1599248)Input is clausal, will run a generic CNF schedule.
% 15.86/3.31 % (1599263)lrs+10_1_sil=8000:sp=occurrence:random_seed=1985542553:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 15.86/3.31 % (1599264)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3056904940:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 15.86/3.31 % (1599263)Instruction limit reached!
% 15.86/3.31 % (1599263)------------------------------
% 15.86/3.31 % (1599263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.86/3.31 % (1599263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.86/3.31 % (1599263)CaDiCaL version: 2.1.3
% 15.86/3.31 % (1599263)Termination reason: Instruction limit
% 15.86/3.31 % (1599263)Termination phase: Saturation
% 15.86/3.31 % (1599263)Time elapsed: 0.061 s
% 15.86/3.31 % (1599263)Peak memory usage: 89 MB
% 15.86/3.31 % (1599263)Instructions burned: 109 (million)
% 15.86/3.31 % (1599260)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=2511152202:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 15.86/3.31 % (1599261)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=461308421:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 15.86/3.31 % (1599262)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=532144387:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 15.86/3.31 % (1599265)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3287237158:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 15.86/3.31 % (1599266)dis-21_1_sil=8000:lcm=predicate:random_seed=2670938687: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)
% 15.86/3.31 % (1599264)Instruction limit reached!
% 15.86/3.31 % (1599264)------------------------------
% 15.86/3.31 % (1599264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.86/3.31 % (1599264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.86/3.31 % (1599264)CaDiCaL version: 2.1.3
% 15.86/3.31 % (1599264)Termination reason: Instruction limit
% 15.86/3.31 % (1599264)Termination phase: Saturation
% 15.86/3.31 % (1599264)Time elapsed: 0.100 s
% 15.86/3.31 % (1599264)Peak memory usage: 89 MB
% 15.86/3.31 % (1599264)Instructions burned: 115 (million)
% 15.86/3.31 % (1599266)Instruction limit reached!
% 15.86/3.31 % (1599266)------------------------------
% 15.86/3.31 % (1599266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.86/3.31 % (1599266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.86/3.31 % (1599266)CaDiCaL version: 2.1.3
% 15.86/3.31 % (1599266)Termination reason: Instruction limit
% 15.86/3.31 % (1599266)Termination phase: Saturation
% 15.86/3.31 % (1599266)Time elapsed: 0.098 s
% 15.86/3.31 % (1599266)Peak memory usage: 87 MB
% 15.86/3.31 % (1599266)Instructions burned: 117 (million)
% 15.86/3.31 % (1599271)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=3057196112:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 15.86/3.31 % (1599271)Refutation not found, incomplete strategy
% 15.86/3.31 % (1599271)------------------------------
% 15.86/3.31 % (1599271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.86/3.31 % (1599271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.86/3.31 % (1599271)CaDiCaL version: 2.1.3
% 15.86/3.31 % (1599271)Termination reason: Refutation not found, incomplete strategy
% 15.86/3.31 % (1599271)Time elapsed: 0.002 s
% 15.86/3.31 % (1599271)Peak memory usage: 88 MB
% 15.86/3.31 % (1599265)Instruction limit reached!
% 15.86/3.31 % (1599265)------------------------------
% 15.86/3.31 % (1599265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.86/3.31 % (1599265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.86/3.31 % (1599265)CaDiCaL version: 2.1.3
% 15.86/3.31 % (1599265)Termination reason: Instruction limit
% 15.86/3.31 % (1599265)Termination phase: Saturation
% 15.86/3.31 % (1599265)Time elapsed: 0.176 s
% 15.86/3.31 % (1599265)Peak memory usage: 89 MB
% 15.86/3.31 % (1599265)Instructions burned: 180 (million)
% 15.86/3.31 % (1599277)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2690384730: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)
% 17.58/3.69 % (1599277)Refutation not found, incomplete strategy
% 17.58/3.69 % (1599277)------------------------------
% 17.58/3.69 % (1599277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.58/3.69 % (1599277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.58/3.69 % (1599277)CaDiCaL version: 2.1.3
% 17.58/3.69 % (1599277)Termination reason: Refutation not found, incomplete strategy
% 17.58/3.69 % (1599277)Time elapsed: 0.001 s
% 17.58/3.69 % (1599277)Peak memory usage: 87 MB
% 17.58/3.69 % (1599278)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3183243458:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 17.58/3.69 % (1599278)Refutation not found, incomplete strategy
% 17.58/3.69 % (1599278)------------------------------
% 17.58/3.69 % (1599278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.58/3.69 % (1599278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.58/3.69 % (1599278)CaDiCaL version: 2.1.3
% 17.58/3.69 % (1599278)Termination reason: Refutation not found, incomplete strategy
% 17.58/3.69 % (1599278)Time elapsed: 0.001 s
% 17.58/3.69 % (1599278)Peak memory usage: 88 MB
% 17.58/3.69 % (1599278)Instructions burned: 1 (million)
% 17.58/3.69 % (1599281)lrs+10_64_to=lpo:sil=8000:random_seed=4167356686:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 17.58/3.69 % (1599281)Instruction limit reached!
% 17.58/3.69 % (1599281)------------------------------
% 17.58/3.69 % (1599281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.58/3.69 % (1599281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.58/3.69 % (1599281)CaDiCaL version: 2.1.3
% 17.58/3.69 % (1599281)Termination reason: Instruction limit
% 17.58/3.69 % (1599281)Termination phase: Saturation
% 17.58/3.69 % (1599281)Time elapsed: 0.086 s
% 17.58/3.69 % (1599281)Peak memory usage: 89 MB
% 17.58/3.69 % (1599281)Instructions burned: 127 (million)
% 17.58/3.69 % (1599278)------------------------------
% 17.58/3.69 % (1599278)------------------------------
% 17.58/3.69 % (1599271)------------------------------
% 17.58/3.69 % (1599271)------------------------------
% 17.58/3.69 % (1599277)------------------------------
% 17.58/3.69 % (1599277)------------------------------
% 17.58/3.69 % (1599284)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3844267651:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 17.58/3.69 % (1599285)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3689387402:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 17.58/3.69 % (1599285)Instruction limit reached!
% 17.58/3.69 % (1599285)------------------------------
% 17.58/3.69 % (1599285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.58/3.69 % (1599285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.58/3.69 % (1599285)CaDiCaL version: 2.1.3
% 17.58/3.69 % (1599285)Termination reason: Instruction limit
% 17.58/3.69 % (1599285)Termination phase: Saturation
% 17.58/3.69 % (1599285)Time elapsed: 0.091 s
% 17.58/3.69 % (1599285)Peak memory usage: 91 MB
% 17.58/3.69 % (1599285)Instructions burned: 158 (million)
% 17.58/3.69 % (1599286)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2889434156:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 17.58/3.69 % (1599284)Instruction limit reached!
% 17.58/3.69 % (1599284)------------------------------
% 17.58/3.69 % (1599284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.58/3.69 % (1599284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.58/3.69 % (1599284)CaDiCaL version: 2.1.3
% 17.58/3.69 % (1599284)Termination reason: Instruction limit
% 17.58/3.69 % (1599284)Termination phase: Saturation
% 17.58/3.69 % (1599284)Time elapsed: 0.214 s
% 17.58/3.69 % (1599284)Peak memory usage: 89 MB
% 17.58/3.69 % (1599284)Instructions burned: 194 (million)
% 17.58/3.69 % (1599288)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=36348155:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 17.58/3.69 % (1599290)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1063309697:i=107_2990 on theBenchmark for (2990ds/107Mi)
% 17.58/3.69 % (1599290)Refutation not found, incomplete strategy
% 17.58/3.69 % (1599290)------------------------------
% 17.58/3.69 % (1599290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.58/3.69 % (1599290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.58/3.69 % (1599290)CaDiCaL version: 2.1.3
% 17.58/3.69 % (1599290)Termination reason: Refutation not found, incomplete strategy
% 17.58/3.69 % (1599290)Time elapsed: 0.001 s
% 17.58/3.69 % (1599290)Peak memory usage: 87 MB
% 17.58/3.69 % (1599288)Instruction limit reached!
% 17.58/3.69 % (1599288)------------------------------
% 17.58/3.69 % (1599288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.58/3.69 % (1599288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.58/3.69 % (1599288)CaDiCaL version: 2.1.3
% 17.58/3.69 % (1599288)Termination reason: Instruction limit
% 17.58/3.69 % (1599288)Termination phase: Saturation
% 17.58/3.69 % (1599288)Time elapsed: 0.091 s
% 17.58/3.69 % (1599288)Peak memory usage: 88 MB
% 17.58/3.69 % (1599288)Instructions burned: 107 (million)
% 17.58/3.69 % (1599292)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=609491058:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2989 on theBenchmark for (2989ds/242Mi)
% 17.58/3.69 % (1599295)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=274096844:cond=fast:i=5208:av=off_2988 on theBenchmark for (2988ds/5208Mi)
% 17.58/3.69 % (1599290)------------------------------
% 17.58/3.69 % (1599290)------------------------------
% 17.58/3.69 % (1599298)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1929944502:i=134:sd=2:doe=on:ss=axioms:sgt=14_2986 on theBenchmark for (2986ds/134Mi)
% 17.58/3.69 % (1599292)Instruction limit reached!
% 17.58/3.69 % (1599292)------------------------------
% 17.58/3.69 % (1599292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.58/3.69 % (1599292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.58/3.69 % (1599292)CaDiCaL version: 2.1.3
% 17.58/3.69 % (1599292)Termination reason: Instruction limit
% 17.58/3.69 % (1599292)Termination phase: Saturation
% 17.58/3.69 % (1599292)Time elapsed: 0.265 s
% 17.58/3.69 % (1599292)Peak memory usage: 90 MB
% 17.58/3.69 % (1599292)Instructions burned: 243 (million)
% 17.58/3.69 % (1599298)Instruction limit reached!
% 17.58/3.69 % (1599298)------------------------------
% 17.58/3.69 % (1599298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.58/3.69 % (1599298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.58/3.69 % (1599298)CaDiCaL version: 2.1.3
% 17.58/3.69 % (1599298)Termination reason: Instruction limit
% 17.58/3.69 % (1599298)Termination phase: Saturation
% 17.58/3.69 % (1599298)Time elapsed: 0.073 s
% 17.58/3.69 % (1599298)Peak memory usage: 89 MB
% 17.58/3.69 % (1599298)Instructions burned: 136 (million)
% 17.58/3.69 % (1599302)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2817418176:i=499:bd=all_2984 on theBenchmark for (2984ds/499Mi)
% 17.58/3.69 % (1599303)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=789356792:i=191:fgj=on:bd=all_2984 on theBenchmark for (2984ds/191Mi)
% 17.58/3.69 % (1599303)Instruction limit reached!
% 17.58/3.69 % (1599303)------------------------------
% 17.58/3.69 % (1599303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.58/3.69 % (1599303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.58/3.69 % (1599303)CaDiCaL version: 2.1.3
% 17.58/3.69 % (1599303)Termination reason: Instruction limit
% 17.58/3.69 % (1599303)Termination phase: Saturation
% 17.58/3.69 % (1599303)Time elapsed: 0.107 s
% 17.58/3.69 % (1599303)Peak memory usage: 93 MB
% 17.58/3.69 % (1599303)Instructions burned: 192 (million)
% 17.58/3.69 % (1599308)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3673431792:i=264:kws=precedence:fsr=off_2981 on theBenchmark for (2981ds/264Mi)
% 17.58/3.69 % (1599260)First to succeed.
% 17.58/3.69 % (1599260)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1599248"
% 17.58/3.69 % (1599302)Instruction limit reached!
% 17.58/3.69 % (1599302)------------------------------
% 17.58/3.69 % (1599302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.58/3.69 % (1599302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.58/3.69 % (1599302)CaDiCaL version: 2.1.3
% 17.58/3.69 % (1599302)Termination reason: Instruction limit
% 17.58/3.69 % (1599302)Termination phase: Saturation
% 17.58/3.69 % (1599302)Time elapsed: 0.466 s
% 17.58/3.69 % (1599302)Peak memory usage: 92 MB
% 17.58/3.69 % (1599302)Instructions burned: 500 (million)
% 17.58/3.69 % (1599286)Also succeeded, but the first one will report.
% 17.58/3.69 % (1599308)Instruction limit reached!
% 17.58/3.69 % (1599308)------------------------------
% 17.58/3.69 % (1599308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.58/3.69 % (1599308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.58/3.69 % (1599308)CaDiCaL version: 2.1.3
% 17.58/3.69 % (1599308)Termination reason: Instruction limit
% 17.58/3.69 % (1599308)Termination phase: Saturation
% 17.58/3.69 % (1599308)Time elapsed: 0.239 s
% 17.58/3.69 % (1599308)Peak memory usage: 92 MB
% 17.58/3.69 % (1599308)Instructions burned: 264 (million)
% 17.58/3.69 % (1599310)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1188829134:cond=on:i=156:bs=on:gtg=exists_all:er=known_2978 on theBenchmark for (2978ds/156Mi)
% 17.58/3.69 % (1599260)Refutation found. Thanks to Tanya!
% 17.58/3.69 % SZS status Unsatisfiable for theBenchmark
% 17.58/3.69 % SZS output start Proof for theBenchmark
% See solution above
% 18.79/3.93 % (1599260)------------------------------
% 18.79/3.93 % (1599260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.79/3.93 % (1599260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.79/3.93 % (1599260)CaDiCaL version: 2.1.3
% 18.79/3.93 % (1599260)Termination reason: Refutation
% 18.79/3.93 % (1599260)Time elapsed: 1.897 s
% 18.79/3.93 % (1599260)Peak memory usage: 135 MB
% 18.79/3.93 % (1599260)Instructions burned: 1715 (million)
% 18.79/3.93 % (1599260)------------------------------
% 18.79/3.93 % (1599260)------------------------------
% 18.79/3.93 % (1599248)Success in time 2.556 s
% 18.79/3.93 % Vampire exiting
%------------------------------------------------------------------------------