%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW229+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 01:29:54 PM UTC 2026
% Result : Theorem 8.32s 1.73s
% Output : Refutation 9.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 46 ( 41 unt; 12 def)
% Number of atoms : 51 ( 27 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 4 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 20 con; 0-3 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1,X2] :
( class_RealVector_Oreal__normed__vector(X2)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X2,X0))),c_RealVector_Onorm__class_Onorm(X2,c_Groups_Ominus__class_Ominus(X2,X1,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__triangle__ineq3) ).
fof(f18,axiom,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__norm__def) ).
fof(f1169,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(f1254,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1255,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),
inference(negated_conjecture,[status(cth)],[f1254]) ).
fof(f1260,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),
inference(flattening,[],[f1255]) ).
fof(f1262,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X2,X0))),c_RealVector_Onorm__class_Onorm(X2,c_Groups_Ominus__class_Ominus(X2,X1,X0)))
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f2643,plain,
! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X2,X0))),c_RealVector_Onorm__class_Onorm(X2,c_Groups_Ominus__class_Ominus(X2,X1,X0)))
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(cnf_transformation,[],[f1262]) ).
fof(f2655,plain,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
inference(cnf_transformation,[],[f18]) ).
fof(f4215,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1169]) ).
fof(f4300,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),
inference(cnf_transformation,[],[f1260]) ).
fof(f4729,definition,
sF47 = c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),
introduced(definition,[new_symbols(definition,[sF47])],[function_definition]) ).
fof(f4730,plain,
c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p) = sF47,
inference(reorient_equations,[],[f4729]) ).
fof(f4731,definition,
sF48 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____),
introduced(definition,[new_symbols(definition,[sF48])],[function_definition]) ).
fof(f4732,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____) = sF48,
inference(reorient_equations,[],[f4731]) ).
fof(f4733,definition,
sF49 = hAPP(v_f____,sF48),
introduced(definition,[new_symbols(definition,[sF49])],[function_definition]) ).
fof(f4734,plain,
hAPP(v_f____,sF48) = sF49,
inference(reorient_equations,[],[f4733]) ).
fof(f4735,definition,
sF50 = v_g____(sF49),
introduced(definition,[new_symbols(definition,[sF50])],[function_definition]) ).
fof(f4736,plain,
v_g____(sF49) = sF50,
inference(reorient_equations,[],[f4735]) ).
fof(f4737,definition,
sF51 = hAPP(sF47,sF50),
introduced(definition,[new_symbols(definition,[sF51])],[function_definition]) ).
fof(f4738,plain,
hAPP(sF47,sF50) = sF51,
inference(reorient_equations,[],[f4737]) ).
fof(f4739,definition,
sF52 = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF51),
introduced(definition,[new_symbols(definition,[sF52])],[function_definition]) ).
fof(f4740,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF51) = sF52,
inference(reorient_equations,[],[f4739]) ).
fof(f4741,definition,
sF53 = hAPP(sF47,v_z____),
introduced(definition,[new_symbols(definition,[sF53])],[function_definition]) ).
fof(f4742,plain,
hAPP(sF47,v_z____) = sF53,
inference(reorient_equations,[],[f4741]) ).
fof(f4743,definition,
sF54 = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF53),
introduced(definition,[new_symbols(definition,[sF54])],[function_definition]) ).
fof(f4744,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF53) = sF54,
inference(reorient_equations,[],[f4743]) ).
fof(f4745,definition,
sF55 = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,sF52,sF54),
introduced(definition,[new_symbols(definition,[sF55])],[function_definition]) ).
fof(f4746,plain,
c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,sF52,sF54) = sF55,
inference(reorient_equations,[],[f4745]) ).
fof(f4747,definition,
sF56 = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,sF55),
introduced(definition,[new_symbols(definition,[sF56])],[function_definition]) ).
fof(f4748,plain,
c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,sF55) = sF56,
inference(reorient_equations,[],[f4747]) ).
fof(f4749,definition,
sF57 = c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,sF51,sF53),
introduced(definition,[new_symbols(definition,[sF57])],[function_definition]) ).
fof(f4750,plain,
c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,sF51,sF53) = sF57,
inference(reorient_equations,[],[f4749]) ).
fof(f4751,definition,
sF58 = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF57),
introduced(definition,[new_symbols(definition,[sF58])],[function_definition]) ).
fof(f4752,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF57) = sF58,
inference(reorient_equations,[],[f4751]) ).
fof(f4753,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sF56,sF58),
inference(definition_folding,[],[f4300,f4752,f4750,f4742,f4730,f4738,f4736,f4734,f4732,f4730,f4748,f4746,f4744,f4742,f4730,f4740,f4738,f4736,f4734,f4732,f4730]) ).
fof(f4931,plain,
! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X2,X0))),c_RealVector_Onorm__class_Onorm(X2,c_Groups_Ominus__class_Ominus(X2,X1,X0)))
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(forward_demodulation,[],[f2643,f2655]) ).
fof(f4932,plain,
sF56 = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,sF55),
inference(forward_demodulation,[],[f4748,f2655]) ).
fof(f5220,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF51),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF53))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF57))
| ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
inference(superposition,[],[f4931,f4750]) ).
fof(f5221,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF51),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF53))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF57)),
inference(forward_subsumption_resolution,[],[f5220,f4215]) ).
fof(f5231,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF51),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF53))),sF58),
inference(forward_demodulation,[],[f5221,f4752]) ).
fof(f5233,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF51),sF54)),sF58),
inference(forward_demodulation,[],[f5231,f4744]) ).
fof(f5234,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,sF52,sF54)),sF58),
inference(forward_demodulation,[],[f5233,f4740]) ).
fof(f5235,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,sF55),sF58),
inference(forward_demodulation,[],[f5234,f4746]) ).
fof(f5236,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sF56,sF58),
inference(forward_demodulation,[],[f5235,f4932]) ).
fof(f5237,plain,
$false,
inference(forward_subsumption_resolution,[],[f5236,f4753]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW229+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n006.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 13:19:10 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.22 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
% 8.32/1.73 % (3961137)Detected formulas, will run a generic FOF schedule.
% 8.32/1.73 % (3961144)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=767249683:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.32/1.73 % (3961143)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=867877874:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.32/1.73 % (3961142)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=367777467:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.32/1.73 % (3961146)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3785192280:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.32/1.73 % (3961148)dis-21_1_sil=8000:lcm=predicate:random_seed=3753705091:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 8.32/1.73 % (3961145)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=915759623:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.32/1.73 % (3961145)Instruction limit reached!
% 8.32/1.73 % (3961145)------------------------------
% 8.32/1.73 % (3961145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/1.73 % (3961145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/1.73 % (3961145)CaDiCaL version: 2.1.3
% 8.32/1.73 % (3961145)Termination reason: Instruction limit
% 8.32/1.73 % (3961145)Termination phase: Saturation
% 8.32/1.73 % (3961145)Time elapsed: 0.032 s
% 8.32/1.73 % (3961145)Peak memory usage: 90 MB
% 8.32/1.73 % (3961145)Instructions burned: 109 (million)
% 8.32/1.73 % (3961147)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1721050585:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.32/1.73 % (3961146)Instruction limit reached!
% 8.32/1.73 % (3961146)------------------------------
% 8.32/1.73 % (3961146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/1.73 % (3961146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/1.73 % (3961146)CaDiCaL version: 2.1.3
% 8.32/1.73 % (3961146)Termination reason: Instruction limit
% 8.32/1.73 % (3961146)Termination phase: Saturation
% 8.32/1.73 % (3961146)Time elapsed: 0.072 s
% 8.32/1.73 % (3961146)Peak memory usage: 89 MB
% 8.32/1.73 % (3961146)Instructions burned: 123 (million)
% 8.32/1.73 % (3961148)Instruction limit reached!
% 8.32/1.73 % (3961148)------------------------------
% 8.32/1.73 % (3961148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/1.73 % (3961148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/1.73 % (3961148)CaDiCaL version: 2.1.3
% 8.32/1.73 % (3961148)Termination reason: Instruction limit
% 8.32/1.73 % (3961148)Termination phase: Saturation
% 8.32/1.73 % (3961148)Time elapsed: 0.069 s
% 8.32/1.73 % (3961148)Peak memory usage: 91 MB
% 8.32/1.73 % (3961148)Instructions burned: 131 (million)
% 8.32/1.73 % (3961155)lrs+10_1_sil=8000:sp=occurrence:random_seed=2098941799:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.32/1.73 % (3961147)Instruction limit reached!
% 8.32/1.73 % (3961147)------------------------------
% 8.32/1.73 % (3961147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/1.73 % (3961147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/1.73 % (3961147)CaDiCaL version: 2.1.3
% 8.32/1.73 % (3961147)Termination reason: Instruction limit
% 8.32/1.73 % (3961147)Termination phase: Saturation
% 8.32/1.73 % (3961147)Time elapsed: 0.080 s
% 8.32/1.73 % (3961147)Peak memory usage: 91 MB
% 8.32/1.73 % (3961147)Instructions burned: 139 (million)
% 8.32/1.73 % (3961158)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2907441451:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.32/1.73 % (3961157)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4186924663:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.32/1.73 % (3961155)Instruction limit reached!
% 8.32/1.73 % (3961155)------------------------------
% 8.32/1.73 % (3961155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/1.73 % (3961155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/1.73 % (3961155)CaDiCaL version: 2.1.3
% 8.32/1.73 % (3961155)Termination reason: Instruction limit
% 8.32/1.73 % (3961155)Termination phase: Saturation
% 8.32/1.73 % (3961155)Time elapsed: 0.094 s
% 8.32/1.73 % (3961155)Peak memory usage: 92 MB
% 8.32/1.73 % (3961155)Instructions burned: 286 (million)
% 8.32/1.73 % (3961160)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2385277344:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 8.32/1.73 % (3961157)Instruction limit reached!
% 8.32/1.73 % (3961157)------------------------------
% 8.32/1.73 % (3961157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/1.73 % (3961157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/1.73 % (3961157)CaDiCaL version: 2.1.3
% 8.32/1.73 % (3961157)Termination reason: Instruction limit
% 8.32/1.73 % (3961157)Termination phase: Saturation
% 8.32/1.73 % (3961157)Time elapsed: 0.089 s
% 8.32/1.73 % (3961157)Peak memory usage: 90 MB
% 8.32/1.73 % (3961157)Instructions burned: 158 (million)
% 8.32/1.73 % (3961163)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=494308279:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 8.32/1.73 % (3961163)Instruction limit reached!
% 8.32/1.73 % (3961163)------------------------------
% 8.32/1.73 % (3961163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/1.73 % (3961163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/1.73 % (3961163)CaDiCaL version: 2.1.3
% 8.32/1.73 % (3961163)Termination reason: Instruction limit
% 8.32/1.73 % (3961163)Termination phase: Saturation
% 8.32/1.73 % (3961163)Time elapsed: 0.088 s
% 8.32/1.73 % (3961163)Peak memory usage: 92 MB
% 8.32/1.73 % (3961163)Instructions burned: 296 (million)
% 8.32/1.73 % (3961158)Instruction limit reached!
% 8.32/1.73 % (3961158)------------------------------
% 8.32/1.73 % (3961158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/1.73 % (3961158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/1.73 % (3961158)CaDiCaL version: 2.1.3
% 8.32/1.73 % (3961158)Termination reason: Instruction limit
% 8.32/1.73 % (3961158)Termination phase: Saturation
% 8.32/1.73 % (3961158)Time elapsed: 0.203 s
% 8.32/1.73 % (3961158)Peak memory usage: 92 MB
% 8.32/1.73 % (3961158)Instructions burned: 325 (million)
% 8.32/1.73 % (3961160)Instruction limit reached!
% 8.32/1.73 % (3961160)------------------------------
% 8.32/1.73 % (3961160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/1.73 % (3961160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/1.73 % (3961160)CaDiCaL version: 2.1.3
% 8.32/1.73 % (3961160)Termination reason: Instruction limit
% 8.32/1.73 % (3961160)Termination phase: Saturation
% 8.32/1.73 % (3961160)Time elapsed: 0.144 s
% 8.32/1.73 % (3961160)Peak memory usage: 92 MB
% 8.32/1.73 % (3961160)Instructions burned: 248 (million)
% 8.32/1.73 % (3961165)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3232953617:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 8.32/1.73 % (3961167)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=600389955:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 8.32/1.73 % (3961168)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2951445202:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 8.32/1.73 % (3961167)Instruction limit reached!
% 8.32/1.73 % (3961167)------------------------------
% 8.32/1.73 % (3961167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/1.73 % (3961167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/1.73 % (3961167)CaDiCaL version: 2.1.3
% 8.32/1.73 % (3961167)Termination reason: Instruction limit
% 8.32/1.73 % (3961167)Termination phase: Saturation
% 8.32/1.73 % (3961167)Time elapsed: 0.032 s
% 8.32/1.73 % (3961167)Peak memory usage: 91 MB
% 8.32/1.73 % (3961167)Instructions burned: 116 (million)
% 8.32/1.73 % (3961169)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2798110224:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 8.32/1.73 % (3961168)Instruction limit reached!
% 8.32/1.73 % (3961168)------------------------------
% 8.32/1.73 % (3961168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/1.73 % (3961168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/1.73 % (3961168)CaDiCaL version: 2.1.3
% 8.32/1.73 % (3961168)Termination reason: Instruction limit
% 8.32/1.73 % (3961168)Termination phase: Saturation
% 8.32/1.73 % (3961168)Time elapsed: 0.061 s
% 8.32/1.73 % (3961168)Peak memory usage: 90 MB
% 8.32/1.73 % (3961168)Instructions burned: 128 (million)
% 8.32/1.73 % (3961169)Instruction limit reached!
% 8.32/1.73 % (3961169)------------------------------
% 8.32/1.73 % (3961169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/1.73 % (3961169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/1.73 % (3961169)CaDiCaL version: 2.1.3
% 8.32/1.73 % (3961169)Termination reason: Instruction limit
% 8.32/1.73 % (3961169)Termination phase: Saturation
% 8.32/1.73 % (3961169)Time elapsed: 0.060 s
% 8.32/1.73 % (3961169)Peak memory usage: 90 MB
% 8.32/1.73 % (3961169)Instructions burned: 115 (million)
% 8.32/1.73 % (3961173)lrs+10_1_sil=8000:sp=occurrence:random_seed=3255360979:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 8.32/1.73 % (3961175)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2234062037:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 8.32/1.73 % (3961176)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1182464920:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 8.32/1.73 % (3961142)First to succeed.
% 8.32/1.73 % (3961142)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3961137"
% 8.32/1.73 % (3961173)Instruction limit reached!
% 8.32/1.73 % (3961173)------------------------------
% 8.32/1.73 % (3961173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/1.73 % (3961173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/1.73 % (3961173)CaDiCaL version: 2.1.3
% 8.32/1.73 % (3961173)Termination reason: Instruction limit
% 8.32/1.73 % (3961173)Termination phase: Saturation
% 8.32/1.73 % (3961173)Time elapsed: 0.295 s
% 8.32/1.73 % (3961173)Peak memory usage: 96 MB
% 8.32/1.73 % (3961173)Instructions burned: 908 (million)
% 8.32/1.73 % (3961175)Instruction limit reached!
% 8.32/1.73 % (3961175)------------------------------
% 8.32/1.73 % (3961175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/1.73 % (3961175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/1.73 % (3961175)CaDiCaL version: 2.1.3
% 8.32/1.73 % (3961175)Termination reason: Instruction limit
% 8.32/1.73 % (3961175)Termination phase: Saturation
% 8.32/1.73 % (3961175)Time elapsed: 0.224 s
% 8.32/1.73 % (3961175)Peak memory usage: 93 MB
% 8.32/1.73 % (3961175)Instructions burned: 438 (million)
% 8.32/1.73 % (3961143)Also succeeded, but the first one will report.
% 8.32/1.73 % (3961180)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3465291120:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 8.32/1.73 % (3961180)Instruction limit reached!
% 8.32/1.73 % (3961180)------------------------------
% 8.32/1.73 % (3961180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/1.73 % (3961180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/1.73 % (3961180)CaDiCaL version: 2.1.3
% 8.32/1.73 % (3961180)Termination reason: Instruction limit
% 8.32/1.73 % (3961180)Termination phase: Saturation
% 8.32/1.73 % (3961180)Time elapsed: 0.040 s
% 8.32/1.73 % (3961180)Peak memory usage: 92 MB
% 8.32/1.73 % (3961180)Instructions burned: 135 (million)
% 8.32/1.73 % (3961181)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2801189694:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 8.32/1.73 % (3961181)Also succeeded, but the first one will report.
% 8.32/1.73 % (3961183)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4169487045:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 8.32/1.73 % (3961142)Refutation found. Thanks to Tanya!
% 8.32/1.73 % SZS status Theorem for theBenchmark
% 8.32/1.73 % SZS output start Proof for theBenchmark
% See solution above
% 9.54/1.93 % (3961142)------------------------------
% 9.54/1.93 % (3961142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/1.93 % (3961142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/1.93 % (3961142)CaDiCaL version: 2.1.3
% 9.54/1.93 % (3961142)Termination reason: Refutation
% 9.54/1.93 % (3961142)Time elapsed: 0.902 s
% 9.54/1.93 % (3961142)Peak memory usage: 149 MB
% 9.54/1.93 % (3961142)Instructions burned: 1457 (million)
% 9.54/1.93 % (3961142)------------------------------
% 9.54/1.93 % (3961142)------------------------------
% 9.54/1.93 % (3961137)Success in time 1.324 s
% 9.54/1.93 % Vampire exiting
%------------------------------------------------------------------------------