%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW206+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 01:29:50 PM UTC 2026
% Result : Theorem 7.24s 1.99s
% Output : Refutation 9.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 37 ( 19 unt; 2 def)
% Number of atoms : 65 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 55 ( 27 ~; 20 |; 3 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-5 aty)
% Number of variables : 55 ( 0 sgn 53 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X0)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_th) ).
fof(f55,axiom,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__norm__def) ).
fof(f222,axiom,
! [X0,X1,X2,X3] :
( class_RealVector_Oreal__normed__vector(X3)
=> ( ! [X4] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X4))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3,hAPP(X1,X4))),X0)) )
=> c_SEQ_OBseq(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_BseqI2_H) ).
fof(f1131,axiom,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__RealVector_Oreal__normed__vector) ).
fof(f1269,axiom,
! [X0,X1,X2,X3,X4,X5] : hAPP(c_COMBB(X5,X4,X3,X2,X1),X0) = hAPP(X2,hAPP(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBB__1) ).
fof(f1272,conjecture,
c_SEQ_OBseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1273,negated_conjecture,
~ c_SEQ_OBseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)))),
inference(negated_conjecture,[status(cth)],[f1272]) ).
fof(f1283,plain,
~ c_SEQ_OBseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)))),
inference(flattening,[],[f1273]) ).
fof(f1505,plain,
! [X0,X1,X2,X3] :
( c_SEQ_OBseq(X3,X1)
| ? [X4] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3,hAPP(X1,X4))),X0))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X4)) )
| ~ class_RealVector_Oreal__normed__vector(X3) ),
inference(ennf_transformation,[],[f222]) ).
fof(f1506,plain,
! [X0,X1,X2,X3] :
( c_SEQ_OBseq(X3,X1)
| ? [X4] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3,hAPP(X1,X4))),X0))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X4)) )
| ~ class_RealVector_Oreal__normed__vector(X3) ),
inference(flattening,[],[f1505]) ).
fof(f2397,plain,
! [X0,X1,X2,X3] :
( c_SEQ_OBseq(X3,X1)
| ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3,hAPP(X1,sK17(X0,X1,X2,X3)))),X0))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),sK17(X0,X1,X2,X3))) )
| ~ class_RealVector_Oreal__normed__vector(X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X4,sK17(X0,X1,X2,X3))],[f1506]) ).
fof(f2701,plain,
! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X0)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
inference(cnf_transformation,[],[f15]) ).
fof(f2753,plain,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
inference(cnf_transformation,[],[f55]) ).
fof(f2980,plain,
! [X2,X3,X0,X1] :
( c_SEQ_OBseq(X3,X1)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3,hAPP(X1,sK17(X0,X1,X2,X3)))),X0))
| ~ class_RealVector_Oreal__normed__vector(X3) ),
inference(cnf_transformation,[],[f2397]) ).
fof(f4205,plain,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1131]) ).
fof(f4343,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(X2,hAPP(X1,X0)) = hAPP(c_COMBB(X5,X4,X3,X2,X1),X0),
inference(cnf_transformation,[],[f1269]) ).
fof(f4346,plain,
~ c_SEQ_OBseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)))),
inference(cnf_transformation,[],[f1283]) ).
fof(f4626,definition,
( spl89_1
<=> c_SEQ_OBseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)))) ),
introduced(definition,[new_symbols(definition,[spl89_1])],[avatar_definition]) ).
fof(f4628,plain,
( ~ c_SEQ_OBseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____))))
| spl89_1 ),
inference(avatar_component_clause,[],[f4626]) ).
fof(f4629,plain,
~ spl89_1,
inference(avatar_split_clause,[],[f4346,f4626]) ).
fof(f4634,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____))),sK17(X0,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____))),X1,tc_RealDef_Oreal)))),X0))
| ~ class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) )
| spl89_1 ),
inference(resolution,[],[f4628,f2980]) ).
fof(f4643,plain,
( ! [X0,X1] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____))),sK17(X0,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____))),X1,tc_RealDef_Oreal)))),X0))
| spl89_1 ),
inference(forward_subsumption_resolution,[],[f4634,f4205]) ).
fof(f4652,plain,
( ! [X0,X1] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____))),sK17(X0,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____))),X1,tc_RealDef_Oreal)))),X0))
| spl89_1 ),
inference(forward_demodulation,[],[f4643,f2753]) ).
fof(f4657,plain,
( ! [X0,X1] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)),sK17(X0,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____))),X1,tc_RealDef_Oreal))))),X0))
| spl89_1 ),
inference(forward_demodulation,[],[f4652,f4343]) ).
fof(f4662,plain,
( ! [X0,X1] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),sK17(X0,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____))),X1,tc_RealDef_Oreal)))))),X0))
| spl89_1 ),
inference(forward_demodulation,[],[f4657,f4343]) ).
fof(f4667,plain,
( ! [X0,X1] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK17(X0,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____))),X1,tc_RealDef_Oreal))))))),X0))
| spl89_1 ),
inference(forward_demodulation,[],[f4662,f4343]) ).
fof(f4677,definition,
( spl89_2
<=> ! [X0,X1] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK17(X0,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____))),X1,tc_RealDef_Oreal))))))),X0)) ),
introduced(definition,[new_symbols(definition,[spl89_2])],[avatar_definition]) ).
fof(f4678,plain,
( ! [X0,X1] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK17(X0,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____))),X1,tc_RealDef_Oreal))))))),X0))
| ~ spl89_2 ),
inference(avatar_component_clause,[],[f4677]) ).
fof(f4679,plain,
( spl89_2
| spl89_1 ),
inference(avatar_split_clause,[],[f4667,f4626,f4677]) ).
fof(f4680,plain,
( $false
| ~ spl89_2 ),
inference(resolution,[],[f4678,f2701]) ).
fof(f4786,plain,
~ spl89_2,
inference(avatar_contradiction_clause,[],[f4680]) ).
cnf(s1,plain,
~ spl89_1,
inference(sat_conversion,[],[f4629]) ).
cnf(s2,plain,
( spl89_1
| spl89_2 ),
inference(sat_conversion,[],[f4679]) ).
cnf(s3,plain,
~ spl89_2,
inference(sat_conversion,[],[f4786]) ).
cnf(s4,plain,
spl89_1,
inference(rat,[],[s2,s3]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4]) ).
fof(f4844,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW206+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n006.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 13:18:01 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 7.24/1.99 % (3958645)Detected formulas, will run a generic FOF schedule.
% 7.24/1.99 % (3958654)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3351287419:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.24/1.99 % (3958654)Instruction limit reached!
% 7.24/1.99 % (3958654)------------------------------
% 7.24/1.99 % (3958654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.24/1.99 % (3958654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.24/1.99 % (3958654)CaDiCaL version: 2.1.3
% 7.24/1.99 % (3958654)Termination reason: Instruction limit
% 7.24/1.99 % (3958654)Termination phase: Saturation
% 7.24/1.99 % (3958654)Time elapsed: 0.036 s
% 7.24/1.99 % (3958654)Peak memory usage: 90 MB
% 7.24/1.99 % (3958654)Instructions burned: 119 (million)
% 7.24/1.99 % (3958651)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=4035506317:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.24/1.99 % (3958650)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=386119666:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.24/1.99 % (3958653)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3669482203:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.24/1.99 % (3958652)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=423101860:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.24/1.99 % (3958653)Refutation not found, incomplete strategy
% 7.24/1.99 % (3958653)------------------------------
% 7.24/1.99 % (3958653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.24/1.99 % (3958653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.24/1.99 % (3958653)CaDiCaL version: 2.1.3
% 7.24/1.99 % (3958653)Termination reason: Refutation not found, incomplete strategy
% 7.24/1.99 % (3958653)Time elapsed: 0.007 s
% 7.24/1.99 % (3958653)Peak memory usage: 89 MB
% 7.24/1.99 % (3958653)Instructions burned: 7 (million)
% 7.24/1.99 % (3958656)dis-21_1_sil=8000:lcm=predicate:random_seed=2732368729: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)
% 7.24/1.99 % (3958655)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2140986919:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.24/1.99 % (3958656)Instruction limit reached!
% 7.24/1.99 % (3958656)------------------------------
% 7.24/1.99 % (3958656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.24/1.99 % (3958656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.24/1.99 % (3958656)CaDiCaL version: 2.1.3
% 7.24/1.99 % (3958656)Termination reason: Instruction limit
% 7.24/1.99 % (3958656)Termination phase: Saturation
% 7.24/1.99 % (3958656)Time elapsed: 0.062 s
% 7.24/1.99 % (3958656)Peak memory usage: 90 MB
% 7.24/1.99 % (3958656)Instructions burned: 131 (million)
% 7.24/1.99 % (3958655)Instruction limit reached!
% 7.24/1.99 % (3958655)------------------------------
% 7.24/1.99 % (3958655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.24/1.99 % (3958655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.24/1.99 % (3958655)CaDiCaL version: 2.1.3
% 7.24/1.99 % (3958655)Termination reason: Instruction limit
% 7.24/1.99 % (3958655)Termination phase: Saturation
% 7.24/1.99 % (3958655)Time elapsed: 0.071 s
% 7.24/1.99 % (3958655)Peak memory usage: 91 MB
% 7.24/1.99 % (3958655)Instructions burned: 140 (million)
% 7.24/1.99 % (3958658)lrs+10_1_sil=8000:sp=occurrence:random_seed=3463166766:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.24/1.99 % (3958658)Instruction limit reached!
% 7.24/1.99 % (3958658)------------------------------
% 7.24/1.99 % (3958658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.24/1.99 % (3958658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.24/1.99 % (3958658)CaDiCaL version: 2.1.3
% 7.24/1.99 % (3958658)Termination reason: Instruction limit
% 7.24/1.99 % (3958658)Termination phase: Saturation
% 7.24/1.99 % (3958658)Time elapsed: 0.094 s
% 7.24/1.99 % (3958658)Peak memory usage: 93 MB
% 7.24/1.99 % (3958658)Instructions burned: 287 (million)
% 7.24/1.99 % (3958665)lrs+10_1_sil=32000:urr=on:br=off:random_seed=844877877:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 7.24/1.99 % (3958666)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1869137375:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 7.24/1.99 % (3958653)------------------------------
% 7.24/1.99 % (3958653)------------------------------
% 7.24/1.99 % (3958665)Instruction limit reached!
% 7.24/1.99 % (3958665)------------------------------
% 7.24/1.99 % (3958665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.24/1.99 % (3958665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.24/1.99 % (3958665)CaDiCaL version: 2.1.3
% 7.24/1.99 % (3958665)Termination reason: Instruction limit
% 7.24/1.99 % (3958665)Termination phase: Saturation
% 7.24/1.99 % (3958665)Time elapsed: 0.086 s
% 7.24/1.99 % (3958665)Peak memory usage: 91 MB
% 7.24/1.99 % (3958665)Instructions burned: 159 (million)
% 7.24/1.99 % (3958668)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=3729431612:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.24/1.99 % (3958668)Instruction limit reached!
% 7.24/1.99 % (3958668)------------------------------
% 7.24/1.99 % (3958668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.24/1.99 % (3958668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.24/1.99 % (3958668)CaDiCaL version: 2.1.3
% 7.24/1.99 % (3958668)Termination reason: Instruction limit
% 7.24/1.99 % (3958668)Termination phase: Saturation
% 7.24/1.99 % (3958668)Time elapsed: 0.077 s
% 7.24/1.99 % (3958668)Peak memory usage: 92 MB
% 7.24/1.99 % (3958668)Instructions burned: 248 (million)
% 7.24/1.99 % (3958666)Instruction limit reached!
% 7.24/1.99 % (3958666)------------------------------
% 7.24/1.99 % (3958666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.24/1.99 % (3958666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.24/1.99 % (3958666)CaDiCaL version: 2.1.3
% 7.24/1.99 % (3958666)Termination reason: Instruction limit
% 7.24/1.99 % (3958666)Termination phase: Saturation
% 7.24/1.99 % (3958666)Time elapsed: 0.185 s
% 7.24/1.99 % (3958666)Peak memory usage: 94 MB
% 7.24/1.99 % (3958666)Instructions burned: 325 (million)
% 7.24/1.99 % (3958671)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3158083610:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 7.24/1.99 % (3958671)Refutation not found, incomplete strategy
% 7.24/1.99 % (3958671)------------------------------
% 7.24/1.99 % (3958671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.24/1.99 % (3958671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.24/1.99 % (3958671)CaDiCaL version: 2.1.3
% 7.24/1.99 % (3958671)Termination reason: Refutation not found, incomplete strategy
% 7.24/1.99 % (3958671)Time elapsed: 0.046 s
% 7.24/1.99 % (3958671)Peak memory usage: 91 MB
% 7.24/1.99 % (3958671)Instructions burned: 82 (million)
% 7.24/1.99 % (3958673)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1081654630:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 7.24/1.99 % (3958674)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=311364952:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.24/1.99 % (3958674)Instruction limit reached!
% 7.24/1.99 % (3958674)------------------------------
% 7.24/1.99 % (3958674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.24/1.99 % (3958674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.24/1.99 % (3958674)CaDiCaL version: 2.1.3
% 7.24/1.99 % (3958674)Termination reason: Instruction limit
% 7.24/1.99 % (3958674)Termination phase: Saturation
% 7.24/1.99 % (3958674)Time elapsed: 0.030 s
% 7.24/1.99 % (3958674)Peak memory usage: 90 MB
% 7.24/1.99 % (3958674)Instructions burned: 117 (million)
% 7.24/1.99 % (3958676)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3210005382:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 7.24/1.99 % (3958676)Instruction limit reached!
% 7.24/1.99 % (3958676)------------------------------
% 7.24/1.99 % (3958676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.24/1.99 % (3958676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.24/1.99 % (3958676)CaDiCaL version: 2.1.3
% 7.24/1.99 % (3958676)Termination reason: Instruction limit
% 7.24/1.99 % (3958676)Termination phase: Saturation
% 7.24/1.99 % (3958676)Time elapsed: 0.062 s
% 7.24/1.99 % (3958676)Peak memory usage: 90 MB
% 7.24/1.99 % (3958676)Instructions burned: 128 (million)
% 7.24/1.99 % (3958679)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=378383106:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.24/1.99 % (3958679)Instruction limit reached!
% 7.24/1.99 % (3958679)------------------------------
% 7.24/1.99 % (3958679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.24/1.99 % (3958679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.24/1.99 % (3958679)CaDiCaL version: 2.1.3
% 7.24/1.99 % (3958679)Termination reason: Instruction limit
% 7.24/1.99 % (3958679)Termination phase: Saturation
% 7.24/1.99 % (3958679)Time elapsed: 0.032 s
% 7.24/1.99 % (3958679)Peak memory usage: 90 MB
% 7.24/1.99 % (3958679)Instructions burned: 118 (million)
% 7.24/1.99 % (3958671)------------------------------
% 7.24/1.99 % (3958671)------------------------------
% 7.24/1.99 % (3958681)lrs+10_1_sil=8000:sp=occurrence:random_seed=168482475:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 7.24/1.99 % (3958652)First to succeed.
% 7.24/1.99 % (3958652)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3958645"
% 7.24/1.99 % (3958683)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3341755524:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 7.24/1.99 % (3958684)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3358754342:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 7.24/1.99 % (3958683)Refutation not found, incomplete strategy
% 7.24/1.99 % (3958683)------------------------------
% 7.24/1.99 % (3958683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.24/1.99 % (3958683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.24/1.99 % (3958683)CaDiCaL version: 2.1.3
% 7.24/1.99 % (3958683)Termination reason: Refutation not found, incomplete strategy
% 7.24/1.99 % (3958683)Time elapsed: 0.071 s
% 7.24/1.99 % (3958683)Peak memory usage: 92 MB
% 7.24/1.99 % (3958683)Instructions burned: 151 (million)
% 7.24/1.99 % (3958651)Also succeeded, but the first one will report.
% 7.24/1.99 % (3958650)Also succeeded, but the first one will report.
% 7.24/1.99 % (3958683)------------------------------
% 7.24/1.99 % (3958683)------------------------------
% 7.24/1.99 % (3958652)Refutation found. Thanks to Tanya!
% 7.24/1.99 % SZS status Theorem for theBenchmark
% 7.24/1.99 % SZS output start Proof for theBenchmark
% See solution above
% 9.69/2.19 % (3958652)------------------------------
% 9.69/2.19 % (3958652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/2.19 % (3958652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/2.19 % (3958652)CaDiCaL version: 2.1.3
% 9.69/2.19 % (3958652)Termination reason: Refutation
% 9.69/2.19 % (3958652)Time elapsed: 0.841 s
% 9.69/2.19 % (3958652)Peak memory usage: 148 MB
% 9.69/2.19 % (3958652)Instructions burned: 1303 (million)
% 9.69/2.19 % (3958652)------------------------------
% 9.69/2.19 % (3958652)------------------------------
% 9.69/2.19 % (3958645)Success in time 1.34 s
% 9.69/2.19 % Vampire exiting
%------------------------------------------------------------------------------