%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT175-1 : TPTP v9.3.1. Released v3.1.0.
% 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 11:46:08 AM UTC 2026
% Result : Unsatisfiable 37.60s 6.93s
% Output : Refutation 43.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 18
% Syntax : Number of formulae : 133 ( 133 unt; 10 def)
% Number of atoms : 133 ( 132 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 14 con; 0-2 aty)
% Number of variables : 106 ( 106 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f9,axiom,
! [X2,X3,X0,X1] : join(X0,meet(X1,join(X2,meet(X0,X3)))) = join(X0,meet(join(X0,meet(X1,join(X0,X2))),join(X2,X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H79_dual) ).
fof(f10,negated_conjecture,
meet(a,join(b,meet(a,meet(c,d)))) != meet(a,join(b,meet(c,join(meet(a,d),meet(b,d))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_H32) ).
fof(f11,definition,
sF0 = meet(c,d),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f12,plain,
meet(c,d) = sF0,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF1 = meet(a,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f14,plain,
meet(a,sF0) = sF1,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF2 = join(b,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f16,plain,
join(b,sF1) = sF2,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF3 = meet(a,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f18,plain,
meet(a,sF2) = sF3,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF4 = meet(a,d),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f20,plain,
meet(a,d) = sF4,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF5 = meet(b,d),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f22,plain,
meet(b,d) = sF5,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF6 = join(sF4,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f24,plain,
join(sF4,sF5) = sF6,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF7 = meet(c,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f26,plain,
meet(c,sF6) = sF7,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF8 = join(b,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f28,plain,
join(b,sF7) = sF8,
inference(reorient_equations,[],[f27]) ).
fof(f29,definition,
sF9 = meet(a,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f30,plain,
meet(a,sF8) = sF9,
inference(reorient_equations,[],[f29]) ).
fof(f31,plain,
sF3 != sF9,
inference(definition_folding,[],[f10,f30,f28,f26,f24,f22,f20,f18,f16,f14,f12]) ).
fof(f54,plain,
! [X2,X3,X0,X1] : join(X0,meet(X2,join(X1,meet(X0,X3)))) = join(X0,meet(join(X0,meet(join(X0,X1),X2)),join(X1,X3))),
inference(superposition,[],[f9,f5]) ).
fof(f55,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f63,plain,
b = meet(b,sF8),
inference(superposition,[],[f3,f28]) ).
fof(f65,plain,
b = join(b,sF5),
inference(superposition,[],[f4,f22]) ).
fof(f72,plain,
! [X2,X3,X0,X1] : join(X1,meet(X2,join(X0,meet(X1,X3)))) = join(X1,meet(join(X1,meet(X2,join(X0,X1))),join(X0,X3))),
inference(superposition,[],[f9,f6]) ).
fof(f73,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f79,plain,
sF7 = meet(sF7,sF8),
inference(superposition,[],[f73,f28]) ).
fof(f92,plain,
sF4 = meet(sF4,sF6),
inference(superposition,[],[f3,f24]) ).
fof(f94,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(superposition,[],[f55,f3]) ).
fof(f95,plain,
! [X0,X1] : join(X1,X0) = join(join(X1,X0),X0),
inference(superposition,[],[f55,f73]) ).
fof(f98,plain,
d = join(d,sF4),
inference(superposition,[],[f55,f20]) ).
fof(f102,plain,
d = join(d,sF5),
inference(superposition,[],[f55,f22]) ).
fof(f104,plain,
sF6 = join(sF6,sF7),
inference(superposition,[],[f55,f26]) ).
fof(f116,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f95,f6]) ).
fof(f117,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(forward_demodulation,[],[f94,f6]) ).
fof(f124,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X1,X0),X2)),
inference(superposition,[],[f7,f73]) ).
fof(f126,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
inference(superposition,[],[f7,f5]) ).
fof(f128,plain,
! [X0] : meet(a,meet(d,X0)) = meet(sF4,X0),
inference(superposition,[],[f7,f20]) ).
fof(f130,plain,
! [X0] : meet(a,meet(sF2,X0)) = meet(sF3,X0),
inference(superposition,[],[f7,f18]) ).
fof(f131,plain,
! [X0] : meet(a,meet(sF8,X0)) = meet(sF9,X0),
inference(superposition,[],[f7,f30]) ).
fof(f134,plain,
! [X0] : meet(c,meet(sF6,X0)) = meet(sF7,X0),
inference(superposition,[],[f7,f26]) ).
fof(f142,plain,
! [X2,X0,X1] : join(X2,meet(X0,meet(X1,X2))) = X2,
inference(superposition,[],[f55,f7]) ).
fof(f144,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f5,f7]) ).
fof(f152,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f8,f4]) ).
fof(f154,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X1,X0),X2)),
inference(superposition,[],[f8,f55]) ).
fof(f155,plain,
! [X0] : join(b,join(sF1,X0)) = join(sF2,X0),
inference(superposition,[],[f8,f16]) ).
fof(f156,plain,
! [X0] : join(sF4,join(sF5,X0)) = join(sF6,X0),
inference(superposition,[],[f8,f24]) ).
fof(f157,plain,
! [X0] : join(b,join(sF7,X0)) = join(sF8,X0),
inference(superposition,[],[f8,f28]) ).
fof(f165,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f6,f8]) ).
fof(f224,plain,
! [X0] : join(a,X0) = join(a,join(sF4,X0)),
inference(superposition,[],[f152,f20]) ).
fof(f232,plain,
! [X2,X0,X1] : join(X1,X0) = join(X1,join(X0,meet(X1,X2))),
inference(superposition,[],[f152,f6]) ).
fof(f291,plain,
! [X2,X0,X1] : join(X0,meet(X2,join(X1,meet(X0,join(X0,meet(join(X0,X1),X2)))))) = join(X0,join(X0,meet(join(X0,X1),X2))),
inference(superposition,[],[f54,f73]) ).
fof(f315,plain,
! [X2,X0,X1] : join(X0,meet(join(X0,X1),X2)) = join(X0,meet(X2,join(X1,meet(X0,join(X0,meet(join(X0,X1),X2)))))),
inference(forward_demodulation,[],[f291,f117]) ).
fof(f341,plain,
! [X2,X0,X1] : join(X0,meet(join(X0,X1),X2)) = join(X0,meet(X2,join(X1,X0))),
inference(forward_demodulation,[],[f315,f3]) ).
fof(f551,plain,
! [X0] : meet(sF4,X0) = meet(a,meet(X0,d)),
inference(superposition,[],[f128,f5]) ).
fof(f585,plain,
meet(a,sF0) = meet(sF4,c),
inference(superposition,[],[f551,f12]) ).
fof(f603,plain,
meet(a,sF0) = meet(c,sF4),
inference(forward_demodulation,[],[f585,f5]) ).
fof(f610,plain,
sF1 = meet(c,sF4),
inference(forward_demodulation,[],[f603,f14]) ).
fof(f853,plain,
! [X2,X3,X0,X1] : join(X1,meet(X2,join(X0,meet(X1,meet(X3,X0))))) = join(X1,meet(join(X1,meet(X2,join(X0,X1))),X0)),
inference(superposition,[],[f72,f55]) ).
fof(f902,plain,
! [X2,X3,X0,X1] : join(X1,meet(X2,join(X0,meet(X1,meet(X3,X0))))) = join(X1,meet(X0,join(meet(X2,join(X0,X1)),X1))),
inference(forward_demodulation,[],[f853,f341]) ).
fof(f940,plain,
! [X2,X3,X0,X1] : join(X1,meet(X2,join(X0,meet(X1,meet(X3,X0))))) = join(X1,meet(X0,join(X1,meet(X2,join(X0,X1))))),
inference(forward_demodulation,[],[f902,f6]) ).
fof(f959,plain,
! [X2,X0,X1] : join(X1,meet(X2,X0)) = join(X1,meet(X0,join(X1,meet(X2,join(X0,X1))))),
inference(forward_demodulation,[],[f940,f142]) ).
fof(f1025,plain,
! [X0] : meet(sF7,X0) = meet(sF7,meet(sF8,X0)),
inference(superposition,[],[f124,f28]) ).
fof(f1141,plain,
! [X0] : meet(sF7,X0) = meet(c,meet(X0,sF6)),
inference(superposition,[],[f134,f5]) ).
fof(f1984,plain,
! [X0] : join(sF8,X0) = join(b,join(X0,sF7)),
inference(superposition,[],[f157,f6]) ).
fof(f2672,plain,
! [X0] : join(sF6,X0) = join(sF4,join(X0,sF5)),
inference(superposition,[],[f156,f6]) ).
fof(f2926,plain,
! [X0] : join(sF8,X0) = join(sF8,join(b,X0)),
inference(superposition,[],[f154,f63]) ).
fof(f2927,plain,
! [X0] : join(sF8,X0) = join(b,join(X0,sF8)),
inference(forward_demodulation,[],[f2926,f165]) ).
fof(f4455,plain,
! [X0] : join(a,X0) = join(a,join(X0,sF4)),
inference(superposition,[],[f232,f20]) ).
fof(f6123,plain,
! [X0] : meet(sF3,X0) = meet(sF2,meet(a,X0)),
inference(superposition,[],[f126,f18]) ).
fof(f6245,plain,
! [X0] : meet(sF3,X0) = meet(a,meet(X0,sF2)),
inference(forward_demodulation,[],[f6123,f144]) ).
fof(f6602,plain,
join(sF8,sF6) = join(b,sF6),
inference(superposition,[],[f1984,f104]) ).
fof(f6651,plain,
join(b,sF6) = join(sF6,sF8),
inference(forward_demodulation,[],[f6602,f6]) ).
fof(f7133,plain,
join(sF6,b) = join(sF4,b),
inference(superposition,[],[f2672,f65]) ).
fof(f7134,plain,
join(sF4,d) = join(sF6,d),
inference(superposition,[],[f2672,f102]) ).
fof(f7202,plain,
join(sF4,d) = join(d,sF6),
inference(forward_demodulation,[],[f7134,f6]) ).
fof(f7203,plain,
join(b,sF4) = join(sF6,b),
inference(forward_demodulation,[],[f7133,f6]) ).
fof(f7222,plain,
join(d,sF4) = join(d,sF6),
inference(forward_demodulation,[],[f7202,f6]) ).
fof(f7223,plain,
join(b,sF6) = join(b,sF4),
inference(forward_demodulation,[],[f7203,f6]) ).
fof(f7230,plain,
d = join(d,sF6),
inference(forward_demodulation,[],[f7222,f98]) ).
fof(f7238,plain,
! [X0] : join(join(b,sF4),X0) = join(b,join(sF6,X0)),
inference(superposition,[],[f8,f7223]) ).
fof(f7281,plain,
! [X0] : join(b,join(sF4,X0)) = join(b,join(sF6,X0)),
inference(forward_demodulation,[],[f7238,f8]) ).
fof(f7308,plain,
sF6 = meet(sF6,d),
inference(superposition,[],[f73,f7230]) ).
fof(f7334,plain,
sF6 = meet(d,sF6),
inference(forward_demodulation,[],[f7308,f5]) ).
fof(f7620,plain,
meet(c,sF6) = meet(sF7,d),
inference(superposition,[],[f1141,f7334]) ).
fof(f7639,plain,
meet(c,sF6) = meet(d,sF7),
inference(forward_demodulation,[],[f7620,f5]) ).
fof(f7644,plain,
sF7 = meet(d,sF7),
inference(forward_demodulation,[],[f7639,f26]) ).
fof(f7646,plain,
meet(sF4,sF7) = meet(a,sF7),
inference(superposition,[],[f128,f7644]) ).
fof(f8293,plain,
meet(c,sF4) = meet(sF7,sF4),
inference(superposition,[],[f1141,f92]) ).
fof(f8320,plain,
meet(c,sF4) = meet(sF4,sF7),
inference(forward_demodulation,[],[f8293,f5]) ).
fof(f8324,plain,
meet(c,sF4) = meet(a,sF7),
inference(forward_demodulation,[],[f8320,f7646]) ).
fof(f8327,plain,
sF1 = meet(a,sF7),
inference(forward_demodulation,[],[f8324,f610]) ).
fof(f8335,plain,
sF7 = join(sF7,sF1),
inference(superposition,[],[f55,f8327]) ).
fof(f8352,plain,
sF7 = join(sF1,sF7),
inference(forward_demodulation,[],[f8335,f6]) ).
fof(f8361,plain,
join(b,sF7) = join(sF2,sF7),
inference(superposition,[],[f155,f8352]) ).
fof(f8407,plain,
sF8 = join(sF2,sF7),
inference(forward_demodulation,[],[f8361,f28]) ).
fof(f8472,plain,
sF2 = meet(sF2,sF8),
inference(superposition,[],[f3,f8407]) ).
fof(f9387,plain,
join(b,sF6) = join(sF8,join(b,sF6)),
inference(superposition,[],[f116,f6651]) ).
fof(f9408,plain,
join(b,sF6) = join(sF6,join(sF8,b)),
inference(forward_demodulation,[],[f9387,f165]) ).
fof(f9428,plain,
join(b,sF6) = join(b,join(sF6,sF8)),
inference(forward_demodulation,[],[f9408,f165]) ).
fof(f9435,plain,
join(b,sF6) = join(b,join(sF4,sF8)),
inference(forward_demodulation,[],[f9428,f7281]) ).
fof(f9439,plain,
join(b,sF6) = join(sF8,sF4),
inference(forward_demodulation,[],[f9435,f2927]) ).
fof(f9441,plain,
join(b,sF6) = join(sF4,sF8),
inference(forward_demodulation,[],[f9439,f6]) ).
fof(f9443,plain,
join(b,sF4) = join(sF4,sF8),
inference(forward_demodulation,[],[f9441,f7223]) ).
fof(f13108,plain,
meet(a,sF2) = meet(sF3,sF8),
inference(superposition,[],[f130,f8472]) ).
fof(f13138,plain,
sF3 = meet(sF3,sF8),
inference(forward_demodulation,[],[f13108,f18]) ).
fof(f22479,plain,
join(a,sF8) = join(a,join(b,sF4)),
inference(superposition,[],[f224,f9443]) ).
fof(f22578,plain,
join(a,b) = join(a,sF8),
inference(forward_demodulation,[],[f22479,f4455]) ).
fof(f22673,plain,
sF8 = meet(sF8,join(a,b)),
inference(superposition,[],[f73,f22578]) ).
fof(f22737,plain,
meet(sF7,sF8) = meet(sF7,join(a,b)),
inference(superposition,[],[f1025,f22673]) ).
fof(f22795,plain,
sF7 = meet(sF7,join(a,b)),
inference(forward_demodulation,[],[f22737,f79]) ).
fof(f23700,plain,
meet(sF3,sF8) = meet(sF9,sF2),
inference(superposition,[],[f131,f6245]) ).
fof(f23755,plain,
meet(sF3,sF8) = meet(sF2,sF9),
inference(forward_demodulation,[],[f23700,f5]) ).
fof(f23780,plain,
sF3 = meet(sF2,sF9),
inference(forward_demodulation,[],[f23755,f13138]) ).
fof(f25045,plain,
join(b,meet(sF7,a)) = join(b,meet(a,join(b,sF7))),
inference(superposition,[],[f959,f22795]) ).
fof(f25253,plain,
join(b,meet(a,sF8)) = join(b,meet(sF7,a)),
inference(forward_demodulation,[],[f25045,f28]) ).
fof(f25383,plain,
join(b,meet(a,sF8)) = join(b,meet(a,sF7)),
inference(forward_demodulation,[],[f25253,f5]) ).
fof(f25466,plain,
join(b,sF1) = join(b,meet(a,sF8)),
inference(forward_demodulation,[],[f25383,f8327]) ).
fof(f25521,plain,
join(b,sF1) = join(b,sF9),
inference(forward_demodulation,[],[f25466,f30]) ).
fof(f25531,plain,
sF2 = join(b,sF9),
inference(forward_demodulation,[],[f25521,f16]) ).
fof(f25558,plain,
sF9 = meet(sF9,sF2),
inference(superposition,[],[f73,f25531]) ).
fof(f25599,plain,
sF9 = meet(sF2,sF9),
inference(forward_demodulation,[],[f25558,f5]) ).
fof(f25613,plain,
sF3 = sF9,
inference(forward_demodulation,[],[f25599,f23780]) ).
fof(f25618,plain,
$false,
inference(forward_subsumption_resolution,[],[f25613,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT175-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.48 % Computer : n003.cluster.edu
% 0.22/0.48 % Model : x86_64 x86_64
% 0.22/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.48 % Memory : 8046.5625MB
% 0.22/0.48 % OS : Linux 6.8.0-71-generic
% 0.22/0.48 % CPULimit : 300
% 0.22/0.48 % WCLimit : 300
% 0.22/0.48 % DateTime : Sun Sep 27 14:05:58 UTC 2026
% 0.22/0.49 % CPUTime :
% 0.22/0.49 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.55 Running first-order theorem proving
% 0.26/0.55 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
% 37.60/6.93 % (555530)Detected a unit-equality problem, will run specialized UEQ schedule.
% 37.60/6.93 % (555541)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1662599982:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 37.60/6.93 % (555535)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=1701449632:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 37.60/6.93 % (555539)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2775174142:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 37.60/6.93 % (555540)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1124154142:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 37.60/6.93 % (555536)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=731161896:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 37.60/6.93 % (555538)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2998992071:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 37.60/6.93 % (555537)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3816011061:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 37.60/6.93 % (555539)Refutation not found, incomplete strategy
% 37.60/6.93 % (555539)------------------------------
% 37.60/6.93 % (555539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.60/6.93 % (555539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.60/6.93 % (555539)CaDiCaL version: 2.1.3
% 37.60/6.93 % (555539)Termination reason: Refutation not found, incomplete strategy
% 37.60/6.93 % (555539)Time elapsed: 0.002 s
% 37.60/6.93 % (555539)Peak memory usage: 87 MB
% 37.60/6.93 % (555539)Instructions burned: 1 (million)
% 37.60/6.93 % (555538)Instruction limit reached!
% 37.60/6.93 % (555538)------------------------------
% 37.60/6.93 % (555538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.60/6.93 % (555538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.60/6.93 % (555538)CaDiCaL version: 2.1.3
% 37.60/6.93 % (555538)Termination reason: Instruction limit
% 37.60/6.93 % (555538)Termination phase: Saturation
% 37.60/6.93 % (555538)Time elapsed: 0.139 s
% 37.60/6.93 % (555538)Peak memory usage: 88 MB
% 37.60/6.93 % (555538)Instructions burned: 136 (million)
% 37.60/6.93 % (555540)Instruction limit reached!
% 37.60/6.93 % (555540)------------------------------
% 37.60/6.93 % (555540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.60/6.93 % (555540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.60/6.93 % (555540)CaDiCaL version: 2.1.3
% 37.60/6.93 % (555540)Termination reason: Instruction limit
% 37.60/6.93 % (555540)Termination phase: Saturation
% 37.60/6.93 % (555540)Time elapsed: 0.269 s
% 37.60/6.93 % (555540)Peak memory usage: 90 MB
% 37.60/6.93 % (555540)Instructions burned: 257 (million)
% 37.60/6.93 % (555549)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1154371441:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 37.60/6.93 % (555539)------------------------------
% 37.60/6.93 % (555539)------------------------------
% 37.60/6.93 % (555550)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2723733367:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 37.60/6.93 % (555541)Instruction limit reached!
% 37.60/6.93 % (555541)------------------------------
% 37.60/6.93 % (555541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.60/6.93 % (555541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.60/6.93 % (555541)CaDiCaL version: 2.1.3
% 37.60/6.93 % (555541)Termination reason: Instruction limit
% 37.60/6.93 % (555541)Termination phase: Saturation
% 37.60/6.93 % (555541)Time elapsed: 0.556 s
% 37.60/6.93 % (555541)Peak memory usage: 97 MB
% 37.60/6.93 % (555541)Instructions burned: 1188 (million)
% 37.60/6.93 % (555552)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=448872040:i=215:ep=RSTC_2993 on theBenchmark for (2993ds/215Mi)
% 37.60/6.93 % (555554)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=3707024195:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2992 on theBenchmark for (2992ds/317Mi)
% 37.60/6.93 % (555552)Instruction limit reached!
% 37.60/6.93 % (555552)------------------------------
% 37.60/6.93 % (555552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.60/6.93 % (555552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.60/6.93 % (555552)CaDiCaL version: 2.1.3
% 37.60/6.93 % (555552)Termination reason: Instruction limit
% 37.60/6.93 % (555552)Termination phase: Saturation
% 37.60/6.93 % (555552)Time elapsed: 0.177 s
% 37.60/6.93 % (555552)Peak memory usage: 89 MB
% 37.60/6.93 % (555552)Instructions burned: 215 (million)
% 37.60/6.93 % (555554)Instruction limit reached!
% 37.60/6.93 % (555554)------------------------------
% 37.60/6.93 % (555554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.60/6.93 % (555554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.60/6.93 % (555554)CaDiCaL version: 2.1.3
% 37.60/6.93 % (555554)Termination reason: Instruction limit
% 37.60/6.93 % (555554)Termination phase: Saturation
% 37.60/6.93 % (555554)Time elapsed: 0.186 s
% 37.60/6.93 % (555554)Peak memory usage: 93 MB
% 37.60/6.93 % (555554)Instructions burned: 319 (million)
% 37.60/6.93 % (555557)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=2660674444:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/12125Mi)
% 37.60/6.93 % (555558)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3812467814:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2988 on theBenchmark for (2988ds/2836Mi)
% 37.60/6.93 % (555549)Instruction limit reached!
% 37.60/6.93 % (555549)------------------------------
% 37.60/6.93 % (555549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.60/6.93 % (555549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.60/6.93 % (555549)CaDiCaL version: 2.1.3
% 37.60/6.93 % (555549)Termination reason: Instruction limit
% 37.60/6.93 % (555549)Termination phase: Saturation
% 37.60/6.93 % (555549)Time elapsed: 2.230 s
% 37.60/6.93 % (555549)Peak memory usage: 142 MB
% 37.60/6.93 % (555549)Instructions burned: 2051 (million)
% 37.60/6.93 % (555562)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=768666974:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2971 on theBenchmark for (2971ds/14534Mi)
% 37.60/6.93 % (555558)Instruction limit reached!
% 37.60/6.93 % (555558)------------------------------
% 37.60/6.93 % (555558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.60/6.93 % (555558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.60/6.93 % (555558)CaDiCaL version: 2.1.3
% 37.60/6.93 % (555558)Termination reason: Instruction limit
% 37.60/6.93 % (555558)Termination phase: Saturation
% 37.60/6.93 % (555558)Time elapsed: 3.155 s
% 37.60/6.93 % (555558)Peak memory usage: 141 MB
% 37.60/6.93 % (555558)Instructions burned: 2836 (million)
% 37.60/6.93 % (555564)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=2162825307:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2954 on theBenchmark for (2954ds/11832Mi)
% 37.60/6.93 % (555557)First to succeed.
% 37.60/6.93 % (555557)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-555530"
% 37.60/6.93 % (555550)Instruction limit reached!
% 37.60/6.93 % (555550)------------------------------
% 37.60/6.93 % (555550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.60/6.93 % (555550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.60/6.93 % (555550)CaDiCaL version: 2.1.3
% 37.60/6.93 % (555550)Termination reason: Instruction limit
% 37.60/6.93 % (555550)Termination phase: Saturation
% 37.60/6.93 % (555550)Time elapsed: 5.144 s
% 37.60/6.93 % (555550)Peak memory usage: 162 MB
% 37.60/6.93 % (555550)Instructions burned: 4949 (million)
% 37.60/6.93 % (555557)Refutation found. Thanks to Tanya!
% 37.60/6.93 % SZS status Unsatisfiable for theBenchmark
% 37.60/6.93 % SZS output start Proof for theBenchmark
% See solution above
% 43.02/7.28 % (555557)------------------------------
% 43.02/7.28 % (555557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.02/7.28 % (555557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.02/7.28 % (555557)CaDiCaL version: 2.1.3
% 43.02/7.28 % (555557)Termination reason: Refutation
% 43.02/7.28 % (555557)Time elapsed: 4.223 s
% 43.02/7.28 % (555557)Peak memory usage: 159 MB
% 43.02/7.28 % (555557)Instructions burned: 3890 (million)
% 43.02/7.28 % (555557)------------------------------
% 43.02/7.28 % (555557)------------------------------
% 43.02/7.28 % (555530)Success in time 5.953 s
% 43.02/7.28 % Vampire exiting
%------------------------------------------------------------------------------