%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL269-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 11:51:49 AM UTC 2026
% Result : Unsatisfiable 6.88s 1.77s
% Output : Refutation 8.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 33
% Syntax : Number of formulae : 121 ( 85 unt; 22 def)
% Number of atoms : 170 ( 40 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 98 ( 49 ~; 45 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 20 con; 0-2 aty)
% Number of variables : 78 ( 0 sgn 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f9,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_defn) ).
fof(f10,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalent_defn) ).
fof(f11,negated_conjecture,
~ theorem(equivalent(equivalent(p,q),equivalent(q,p))),
file('/export/starexec/sandbox/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(not(or(not(or(not(not(or(not(or(not(p),q)),not(or(not(q),p))))),not(or(not(or(not(q),p)),not(or(not(p),q)))))),not(or(not(not(or(not(or(not(q),p)),not(or(not(p),q))))),not(or(not(or(not(p),q)),not(or(not(q),p))))))))),
inference(definition_unfolding,[],[f11,f12,f12,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,p),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f29,plain,
or(sF3,p) = 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 = or(sF5,sF2),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f39,plain,
or(sF5,sF2) = sF9,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF10 = not(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f41,plain,
not(sF9) = sF10,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF11 = or(sF8,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f43,plain,
or(sF8,sF10) = sF11,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF12 = not(sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f45,plain,
not(sF11) = sF12,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF13 = not(sF10),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f47,plain,
not(sF10) = sF13,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF14 = or(sF13,sF7),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f49,plain,
or(sF13,sF7) = sF14,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF15 = not(sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f51,plain,
not(sF14) = sF15,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF16 = or(sF12,sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f53,plain,
or(sF12,sF15) = sF16,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF17 = not(sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f55,plain,
not(sF16) = sF17,
inference(reorient_equations,[],[f54]) ).
fof(f56,plain,
~ theorem(sF17),
inference(definition_folding,[],[f19,f55,f53,f51,f49,f35,f33,f31,f29,f27,f25,f23,f21,f47,f41,f39,f25,f23,f21,f31,f29,f27,f45,f43,f41,f39,f25,f23,f21,f31,f29,f27,f37,f35,f33,f31,f29,f27,f25,f23,f21]) ).
fof(f57,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f7,f17]) ).
fof(f58,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f7,f16]) ).
fof(f73,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f18,f57]) ).
fof(f74,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f18,f58]) ).
fof(f80,plain,
! [X0] :
( ~ theorem(or(sF12,X0))
| theorem(X0)
| ~ theorem(sF11) ),
inference(superposition,[],[f18,f45]) ).
fof(f81,plain,
! [X0] :
( ~ theorem(or(sF15,X0))
| theorem(X0)
| ~ theorem(sF14) ),
inference(superposition,[],[f18,f51]) ).
fof(f83,definition,
( spl18_1
<=> theorem(sF14) ),
introduced(definition,[new_symbols(definition,[spl18_1])],[avatar_definition]) ).
fof(f85,plain,
( ~ theorem(sF14)
| spl18_1 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f87,definition,
( spl18_2
<=> ! [X0] :
( ~ theorem(or(sF15,X0))
| theorem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl18_2])],[avatar_definition]) ).
fof(f88,plain,
( ! [X0] :
( ~ theorem(or(sF15,X0))
| theorem(X0) )
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f89,plain,
( ~ spl18_1
| spl18_2 ),
inference(avatar_split_clause,[],[f81,f87,f83]) ).
fof(f91,definition,
( spl18_3
<=> theorem(sF11) ),
introduced(definition,[new_symbols(definition,[spl18_3])],[avatar_definition]) ).
fof(f93,plain,
( ~ theorem(sF11)
| spl18_3 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f95,definition,
( spl18_4
<=> ! [X0] :
( ~ theorem(or(sF12,X0))
| theorem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl18_4])],[avatar_definition]) ).
fof(f96,plain,
( ! [X0] :
( ~ theorem(or(sF12,X0))
| theorem(X0) )
| ~ spl18_4 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f97,plain,
( ~ spl18_3
| spl18_4 ),
inference(avatar_split_clause,[],[f80,f95,f91]) ).
fof(f173,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f15,f7]) ).
fof(f174,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f173,f18]) ).
fof(f187,plain,
theorem(or(not(or(sF2,sF5)),sF9)),
inference(superposition,[],[f173,f39]) ).
fof(f188,plain,
theorem(or(not(sF9),or(sF2,sF5))),
inference(superposition,[],[f173,f39]) ).
fof(f189,plain,
theorem(or(not(sF9),sF6)),
inference(forward_demodulation,[],[f188,f33]) ).
fof(f190,plain,
theorem(or(not(sF6),sF9)),
inference(forward_demodulation,[],[f187,f33]) ).
fof(f195,plain,
theorem(or(sF10,sF6)),
inference(forward_demodulation,[],[f189,f41]) ).
fof(f196,plain,
theorem(or(sF7,sF9)),
inference(forward_demodulation,[],[f190,f35]) ).
fof(f290,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f73,f18]) ).
fof(f312,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f290,f173]) ).
fof(f318,plain,
! [X0,X1] :
( ~ theorem(or(sF7,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF6)) ),
inference(superposition,[],[f290,f35]) ).
fof(f320,plain,
! [X0,X1] :
( ~ theorem(or(sF10,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF9)) ),
inference(superposition,[],[f290,f41]) ).
fof(f350,plain,
theorem(or(not(sF16),or(sF15,sF12))),
inference(superposition,[],[f173,f53]) ).
fof(f352,plain,
theorem(or(sF17,or(sF15,sF12))),
inference(forward_demodulation,[],[f350,f55]) ).
fof(f394,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f14,f7]) ).
fof(f444,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f13,f7]) ).
fof(f445,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f444,f290]) ).
fof(f453,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f445,f394]) ).
fof(f521,plain,
theorem(or(sF15,or(sF17,sF12))),
inference(resolution,[],[f352,f74]) ).
fof(f628,plain,
theorem(or(sF15,or(sF12,sF17))),
inference(resolution,[],[f521,f312]) ).
fof(f633,plain,
theorem(or(sF12,or(sF15,sF17))),
inference(resolution,[],[f628,f74]) ).
fof(f642,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f453,f174]) ).
fof(f707,plain,
! [X0] :
( theorem(or(X0,not(sF7)))
| ~ theorem(or(X0,sF6)) ),
inference(resolution,[],[f318,f642]) ).
fof(f708,plain,
! [X0] :
( ~ theorem(or(X0,sF6))
| theorem(or(X0,sF8)) ),
inference(forward_demodulation,[],[f707,f37]) ).
fof(f711,plain,
theorem(or(sF10,sF8)),
inference(resolution,[],[f708,f195]) ).
fof(f713,plain,
theorem(or(sF8,sF10)),
inference(resolution,[],[f711,f174]) ).
fof(f714,plain,
theorem(sF11),
inference(forward_demodulation,[],[f713,f43]) ).
fof(f715,plain,
( $false
| spl18_3 ),
inference(forward_subsumption_resolution,[],[f714,f93]) ).
fof(f716,plain,
spl18_3,
inference(avatar_contradiction_clause,[],[f715]) ).
fof(f717,plain,
( theorem(or(sF15,sF17))
| ~ spl18_4 ),
inference(resolution,[],[f96,f633]) ).
fof(f818,plain,
! [X0] :
( theorem(or(X0,not(sF10)))
| ~ theorem(or(X0,sF9)) ),
inference(resolution,[],[f320,f642]) ).
fof(f819,plain,
! [X0] :
( ~ theorem(or(X0,sF9))
| theorem(or(X0,sF13)) ),
inference(forward_demodulation,[],[f818,f47]) ).
fof(f828,plain,
theorem(or(sF7,sF13)),
inference(resolution,[],[f819,f196]) ).
fof(f831,plain,
theorem(or(sF13,sF7)),
inference(resolution,[],[f828,f174]) ).
fof(f832,plain,
theorem(sF14),
inference(forward_demodulation,[],[f831,f49]) ).
fof(f833,plain,
( $false
| spl18_1 ),
inference(forward_subsumption_resolution,[],[f832,f85]) ).
fof(f834,plain,
spl18_1,
inference(avatar_contradiction_clause,[],[f833]) ).
fof(f838,plain,
( theorem(sF17)
| ~ spl18_2
| ~ spl18_4 ),
inference(resolution,[],[f88,f717]) ).
fof(f841,plain,
( $false
| ~ spl18_2
| ~ spl18_4 ),
inference(forward_subsumption_resolution,[],[f838,f56]) ).
fof(f842,plain,
( ~ spl18_2
| ~ spl18_4 ),
inference(avatar_contradiction_clause,[],[f841]) ).
cnf(s1,plain,
( ~ spl18_1
| spl18_2 ),
inference(sat_conversion,[],[f89]) ).
cnf(s2,plain,
( ~ spl18_3
| spl18_4 ),
inference(sat_conversion,[],[f97]) ).
cnf(s12,plain,
spl18_3,
inference(sat_conversion,[],[f716]) ).
cnf(s19,plain,
spl18_1,
inference(sat_conversion,[],[f834]) ).
cnf(s20,plain,
( ~ spl18_2
| ~ spl18_4 ),
inference(sat_conversion,[],[f842]) ).
cnf(s21,plain,
spl18_4,
inference(rat,[],[s2,s12]) ).
cnf(s22,plain,
~ spl18_2,
inference(rat,[],[s20,s21]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s1,s22,s19]) ).
fof(f843,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL269-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n003.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 15:33:41 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.88/1.77 % (715642)Input is clausal, will run a generic CNF schedule.
% 6.88/1.77 % (715652)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1993634594:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.88/1.77 % (715647)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=255673427:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.88/1.77 % (715649)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1076276767:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.88/1.77 % (715648)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2102307311:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.88/1.77 % (715653)dis-21_1_sil=8000:lcm=predicate:random_seed=3086482029: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)
% 6.88/1.77 % (715651)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4130327793:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.88/1.77 % (715650)lrs+10_1_sil=8000:sp=occurrence:random_seed=4157723993:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.88/1.77 % (715652)Instruction limit reached!
% 6.88/1.77 % (715652)------------------------------
% 6.88/1.77 % (715652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/1.77 % (715652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.77 % (715652)CaDiCaL version: 2.1.3
% 6.88/1.77 % (715652)Termination reason: Instruction limit
% 6.88/1.77 % (715652)Termination phase: Saturation
% 6.88/1.77 % (715652)Time elapsed: 0.061 s
% 6.88/1.77 % (715652)Peak memory usage: 90 MB
% 6.88/1.77 % (715652)Instructions burned: 181 (million)
% 6.88/1.77 % (715653)Instruction limit reached!
% 6.88/1.77 % (715653)------------------------------
% 6.88/1.77 % (715653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/1.77 % (715653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.77 % (715653)CaDiCaL version: 2.1.3
% 6.88/1.77 % (715653)Termination reason: Instruction limit
% 6.88/1.77 % (715653)Termination phase: Saturation
% 6.88/1.77 % (715653)Time elapsed: 0.055 s
% 6.88/1.77 % (715653)Peak memory usage: 87 MB
% 6.88/1.77 % (715653)Instructions burned: 117 (million)
% 6.88/1.77 % (715650)Instruction limit reached!
% 6.88/1.77 % (715650)------------------------------
% 6.88/1.77 % (715650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/1.77 % (715650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.77 % (715650)CaDiCaL version: 2.1.3
% 6.88/1.77 % (715650)Termination reason: Instruction limit
% 6.88/1.77 % (715650)Termination phase: Saturation
% 6.88/1.77 % (715650)Time elapsed: 0.069 s
% 6.88/1.77 % (715650)Peak memory usage: 89 MB
% 6.88/1.77 % (715650)Instructions burned: 108 (million)
% 6.88/1.77 % (715651)Instruction limit reached!
% 6.88/1.77 % (715651)------------------------------
% 6.88/1.77 % (715651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/1.77 % (715651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.77 % (715651)CaDiCaL version: 2.1.3
% 6.88/1.77 % (715651)Termination reason: Instruction limit
% 6.88/1.77 % (715651)Termination phase: Saturation
% 6.88/1.77 % (715651)Time elapsed: 0.070 s
% 6.88/1.77 % (715651)Peak memory usage: 88 MB
% 6.88/1.77 % (715651)Instructions burned: 114 (million)
% 6.88/1.77 % (715661)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=2786168545:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.88/1.77 % (715661)Refutation not found, incomplete strategy
% 6.88/1.77 % (715661)------------------------------
% 6.88/1.77 % (715661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/1.77 % (715661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.77 % (715661)CaDiCaL version: 2.1.3
% 6.88/1.77 % (715661)Termination reason: Refutation not found, incomplete strategy
% 6.88/1.77 % (715661)Time elapsed: 0.001 s
% 6.88/1.77 % (715661)Peak memory usage: 88 MB
% 6.88/1.77 % (715662)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2280509210:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 6.88/1.77 % (715662)Refutation not found, incomplete strategy
% 6.88/1.77 % (715662)------------------------------
% 6.88/1.77 % (715662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/1.77 % (715662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.77 % (715662)CaDiCaL version: 2.1.3
% 6.88/1.77 % (715662)Termination reason: Refutation not found, incomplete strategy
% 6.88/1.77 % (715662)Time elapsed: 0.001 s
% 6.88/1.77 % (715662)Peak memory usage: 87 MB
% 6.88/1.77 % (715664)lrs+10_64_to=lpo:sil=8000:random_seed=265726835:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.88/1.77 % (715663)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=425760625:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.88/1.77 % (715663)Refutation not found, incomplete strategy
% 6.88/1.77 % (715663)------------------------------
% 6.88/1.77 % (715663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/1.77 % (715663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.77 % (715663)CaDiCaL version: 2.1.3
% 6.88/1.77 % (715663)Termination reason: Refutation not found, incomplete strategy
% 6.88/1.77 % (715663)Time elapsed: 0.001 s
% 6.88/1.77 % (715663)Peak memory usage: 88 MB
% 6.88/1.77 % (715664)Instruction limit reached!
% 6.88/1.77 % (715664)------------------------------
% 6.88/1.77 % (715664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/1.77 % (715664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.77 % (715664)CaDiCaL version: 2.1.3
% 6.88/1.77 % (715664)Termination reason: Instruction limit
% 6.88/1.77 % (715664)Termination phase: Saturation
% 6.88/1.77 % (715664)Time elapsed: 0.072 s
% 6.88/1.77 % (715664)Peak memory usage: 89 MB
% 6.88/1.77 % (715664)Instructions burned: 127 (million)
% 6.88/1.77 % (715661)------------------------------
% 6.88/1.77 % (715661)------------------------------
% 6.88/1.77 % (715669)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=109255687:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.88/1.77 % (715662)------------------------------
% 6.88/1.77 % (715662)------------------------------
% 6.88/1.77 % (715670)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1225689572:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.88/1.77 % (715663)------------------------------
% 6.88/1.77 % (715663)------------------------------
% 6.88/1.77 % (715670)Instruction limit reached!
% 6.88/1.77 % (715670)------------------------------
% 6.88/1.77 % (715670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/1.77 % (715670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.77 % (715670)CaDiCaL version: 2.1.3
% 6.88/1.77 % (715670)Termination reason: Instruction limit
% 6.88/1.77 % (715670)Termination phase: Saturation
% 6.88/1.77 % (715670)Time elapsed: 0.056 s
% 6.88/1.77 % (715670)Peak memory usage: 91 MB
% 6.88/1.77 % (715670)Instructions burned: 160 (million)
% 6.88/1.77 % (715669)Instruction limit reached!
% 6.88/1.77 % (715669)------------------------------
% 6.88/1.77 % (715669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/1.77 % (715669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.77 % (715669)CaDiCaL version: 2.1.3
% 6.88/1.77 % (715669)Termination reason: Instruction limit
% 6.88/1.77 % (715669)Termination phase: Saturation
% 6.88/1.77 % (715669)Time elapsed: 0.124 s
% 6.88/1.77 % (715669)Peak memory usage: 89 MB
% 6.88/1.77 % (715669)Instructions burned: 194 (million)
% 6.88/1.77 % (715673)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1294883994:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 6.88/1.77 % (715674)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=40287389:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 6.88/1.77 % (715675)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1765501624:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 6.88/1.77 % (715675)Refutation not found, incomplete strategy
% 6.88/1.77 % (715675)------------------------------
% 6.88/1.77 % (715675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/1.77 % (715675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.77 % (715675)CaDiCaL version: 2.1.3
% 6.88/1.77 % (715675)Termination reason: Refutation not found, incomplete strategy
% 6.88/1.77 % (715675)Time elapsed: 0.0000 s
% 6.88/1.77 % (715675)Peak memory usage: 87 MB
% 6.88/1.77 % (715674)Instruction limit reached!
% 6.88/1.77 % (715674)------------------------------
% 6.88/1.77 % (715674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/1.77 % (715674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.77 % (715674)CaDiCaL version: 2.1.3
% 6.88/1.77 % (715674)Termination reason: Instruction limit
% 6.88/1.77 % (715674)Termination phase: Saturation
% 6.88/1.77 % (715674)Time elapsed: 0.055 s
% 6.88/1.77 % (715674)Peak memory usage: 88 MB
% 6.88/1.77 % (715674)Instructions burned: 106 (million)
% 6.88/1.77 % (715676)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2919593504:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 6.88/1.77 % (715675)------------------------------
% 6.88/1.77 % (715675)------------------------------
% 6.88/1.77 % (715647)First to succeed.
% 6.88/1.77 % (715647)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-715642"
% 6.88/1.77 % (715680)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=258464894:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 6.88/1.77 % (715676)Instruction limit reached!
% 6.88/1.77 % (715676)------------------------------
% 6.88/1.77 % (715676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/1.77 % (715676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.77 % (715676)CaDiCaL version: 2.1.3
% 6.88/1.77 % (715676)Termination reason: Instruction limit
% 6.88/1.77 % (715676)Termination phase: Saturation
% 6.88/1.77 % (715676)Time elapsed: 0.159 s
% 6.88/1.77 % (715676)Peak memory usage: 90 MB
% 6.88/1.77 % (715676)Instructions burned: 242 (million)
% 6.88/1.77 % (715682)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3498291823:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 6.88/1.77 % (715682)Instruction limit reached!
% 6.88/1.77 % (715682)------------------------------
% 6.88/1.77 % (715682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/1.77 % (715682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.77 % (715682)CaDiCaL version: 2.1.3
% 6.88/1.77 % (715682)Termination reason: Instruction limit
% 6.88/1.77 % (715682)Termination phase: Saturation
% 6.88/1.77 % (715682)Time elapsed: 0.045 s
% 6.88/1.77 % (715682)Peak memory usage: 89 MB
% 6.88/1.77 % (715682)Instructions burned: 137 (million)
% 6.88/1.77 % (715684)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=667656203:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 6.88/1.77 % (715686)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3102043340:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 6.88/1.77 % (715647)Refutation found. Thanks to Tanya!
% 6.88/1.77 % SZS status Unsatisfiable for theBenchmark
% 6.88/1.77 % SZS output start Proof for theBenchmark
% See solution above
% 8.51/1.97 % (715647)------------------------------
% 8.51/1.97 % (715647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.51/1.97 % (715647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.97 % (715647)CaDiCaL version: 2.1.3
% 8.51/1.97 % (715647)Termination reason: Refutation
% 8.51/1.97 % (715647)Time elapsed: 0.756 s
% 8.51/1.97 % (715647)Peak memory usage: 130 MB
% 8.51/1.97 % (715647)Instructions burned: 1144 (million)
% 8.51/1.97 % (715647)------------------------------
% 8.51/1.97 % (715647)------------------------------
% 8.51/1.97 % (715642)Success in time 1.154 s
% 8.51/1.97 % Vampire exiting
%------------------------------------------------------------------------------