%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW234+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 : n016.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 8.87s 1.82s
% Output : Refutation 8.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 19 unt; 0 def)
% Number of atoms : 60 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 58 ( 31 ~; 21 |; 0 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_h) ).
fof(f7,axiom,
! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__refl) ).
fof(f9,axiom,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__trans) ).
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(f40,axiom,
! [X0,X1,X2,X3] :
( class_Groups_Oordered__comm__monoid__add(X3)
=> ( c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X2)
=> ( c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
=> c_Orderings_Oord__class_Oless__eq(X3,X1,c_Groups_Oplus__class_Oplus(X3,X0,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__increasing2) ).
fof(f185,axiom,
! [X0,X1] :
( class_RealVector_Oreal__normed__vector(X1)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__ge__zero) ).
fof(f1122,axiom,
class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add) ).
fof(f1127,axiom,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__RealVector_Oreal__normed__vector) ).
fof(f1274,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1275,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(negated_conjecture,[status(cth)],[f1274]) ).
fof(f1281,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(flattening,[],[f1275]) ).
fof(f1288,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f1289,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
inference(flattening,[],[f1288]) ).
fof(f1324,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless__eq(X3,X1,c_Groups_Oplus__class_Oplus(X3,X0,X2))
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Groups_Oordered__comm__monoid__add(X3) ),
inference(ennf_transformation,[],[f40]) ).
fof(f1325,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless__eq(X3,X1,c_Groups_Oplus__class_Oplus(X3,X0,X2))
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Groups_Oordered__comm__monoid__add(X3) ),
inference(flattening,[],[f1324]) ).
fof(f1537,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0))
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(ennf_transformation,[],[f185]) ).
fof(f2746,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(cnf_transformation,[],[f6]) ).
fof(f2747,plain,
! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0),
inference(cnf_transformation,[],[f7]) ).
fof(f2749,plain,
! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
inference(cnf_transformation,[],[f1289]) ).
fof(f2760,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(f2793,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(X3,X1,c_Groups_Oplus__class_Oplus(X3,X0,X2))
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Groups_Oordered__comm__monoid__add(X3) ),
inference(cnf_transformation,[],[f1325]) ).
fof(f2986,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0))
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(cnf_transformation,[],[f1537]) ).
fof(f4264,plain,
class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1122]) ).
fof(f4269,plain,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1127]) ).
fof(f4416,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(cnf_transformation,[],[f1281]) ).
fof(f4619,plain,
! [X0] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0) ),
inference(resolution,[],[f4416,f2749]) ).
fof(f4704,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____))),
inference(resolution,[],[f4619,f2746]) ).
fof(f4778,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____))),
inference(forward_demodulation,[],[f4704,f2760]) ).
fof(f6040,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____))
| ~ class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ),
inference(resolution,[],[f4778,f2793]) ).
fof(f6059,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____))
| ~ class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ),
inference(forward_subsumption_resolution,[],[f6040,f2747]) ).
fof(f6061,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____)),
inference(forward_subsumption_resolution,[],[f6059,f4264]) ).
fof(f6997,plain,
~ class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
inference(resolution,[],[f6061,f2986]) ).
fof(f7018,plain,
$false,
inference(forward_subsumption_resolution,[],[f6997,f4269]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW234+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.17 % Computer : n016.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 13:24:33 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.21 Running first-order theorem proving
% 0.06/0.21 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
% 7.59/1.62 % (3620846)Detected formulas, will run a generic FOF schedule.
% 7.59/1.62 % (3620857)dis-21_1_sil=8000:lcm=predicate:random_seed=595955514: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)
% 7.59/1.62 % (3620857)Instruction limit reached!
% 7.59/1.62 % (3620857)------------------------------
% 7.59/1.62 % (3620857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/1.62 % (3620857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/1.62 % (3620857)CaDiCaL version: 2.1.3
% 7.59/1.62 % (3620857)Termination reason: Instruction limit
% 7.59/1.62 % (3620857)Termination phase: Saturation
% 7.59/1.62 % (3620857)Time elapsed: 0.034 s
% 7.59/1.62 % (3620857)Peak memory usage: 90 MB
% 7.59/1.62 % (3620857)Instructions burned: 132 (million)
% 7.59/1.62 % (3620855)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=469803292:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.59/1.62 % (3620854)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3069920507:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.59/1.62 % (3620856)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3748823248:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.59/1.62 % (3620851)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=4048841308:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.59/1.62 % (3620852)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=1677332527:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.59/1.62 % (3620853)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=428675423:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.59/1.62 % (3620854)Instruction limit reached!
% 7.59/1.62 % (3620854)------------------------------
% 7.59/1.62 % (3620854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/1.62 % (3620854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/1.62 % (3620854)CaDiCaL version: 2.1.3
% 7.59/1.62 % (3620854)Termination reason: Instruction limit
% 7.59/1.62 % (3620854)Termination phase: Saturation
% 7.59/1.62 % (3620854)Time elapsed: 0.054 s
% 7.59/1.62 % (3620854)Peak memory usage: 89 MB
% 7.59/1.62 % (3620854)Instructions burned: 110 (million)
% 7.59/1.62 % (3620859)lrs+10_1_sil=8000:sp=occurrence:random_seed=879205472:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 7.59/1.62 % (3620855)Instruction limit reached!
% 7.59/1.62 % (3620855)------------------------------
% 7.59/1.62 % (3620855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/1.62 % (3620855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/1.62 % (3620855)CaDiCaL version: 2.1.3
% 7.59/1.62 % (3620855)Termination reason: Instruction limit
% 7.59/1.62 % (3620855)Termination phase: Saturation
% 7.59/1.62 % (3620855)Time elapsed: 0.069 s
% 7.59/1.62 % (3620855)Peak memory usage: 89 MB
% 7.59/1.62 % (3620855)Instructions burned: 120 (million)
% 7.59/1.62 % (3620856)Instruction limit reached!
% 7.59/1.62 % (3620856)------------------------------
% 7.59/1.62 % (3620856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/1.62 % (3620856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/1.62 % (3620856)CaDiCaL version: 2.1.3
% 7.59/1.62 % (3620856)Termination reason: Instruction limit
% 7.59/1.62 % (3620856)Termination phase: Saturation
% 7.59/1.62 % (3620856)Time elapsed: 0.079 s
% 7.59/1.62 % (3620856)Peak memory usage: 91 MB
% 7.59/1.62 % (3620856)Instructions burned: 139 (million)
% 7.59/1.62 % (3620859)Instruction limit reached!
% 7.59/1.62 % (3620859)------------------------------
% 7.59/1.62 % (3620859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/1.62 % (3620859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/1.62 % (3620859)CaDiCaL version: 2.1.3
% 7.59/1.62 % (3620859)Termination reason: Instruction limit
% 7.59/1.62 % (3620859)Termination phase: Saturation
% 7.59/1.62 % (3620859)Time elapsed: 0.101 s
% 7.59/1.62 % (3620859)Peak memory usage: 92 MB
% 7.59/1.62 % (3620859)Instructions burned: 285 (million)
% 7.59/1.62 % (3620866)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3953815463:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.59/1.62 % (3620869)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=1720332494:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 7.59/1.62 % (3620868)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4266783254:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.59/1.62 % (3620870)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3987248475:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 7.59/1.62 % (3620866)Instruction limit reached!
% 7.59/1.62 % (3620866)------------------------------
% 7.59/1.62 % (3620866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/1.62 % (3620866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/1.62 % (3620866)CaDiCaL version: 2.1.3
% 7.59/1.62 % (3620866)Termination reason: Instruction limit
% 7.59/1.62 % (3620866)Termination phase: Saturation
% 7.59/1.62 % (3620866)Time elapsed: 0.092 s
% 7.59/1.62 % (3620866)Peak memory usage: 90 MB
% 7.59/1.62 % (3620866)Instructions burned: 157 (million)
% 7.59/1.62 % (3620869)Instruction limit reached!
% 7.59/1.62 % (3620869)------------------------------
% 7.59/1.62 % (3620869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/1.62 % (3620869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/1.62 % (3620869)CaDiCaL version: 2.1.3
% 7.59/1.62 % (3620869)Termination reason: Instruction limit
% 7.59/1.62 % (3620869)Termination phase: Saturation
% 7.59/1.62 % (3620869)Time elapsed: 0.146 s
% 7.59/1.62 % (3620869)Peak memory usage: 92 MB
% 7.59/1.62 % (3620869)Instructions burned: 248 (million)
% 7.59/1.62 % (3620870)Instruction limit reached!
% 7.59/1.62 % (3620870)------------------------------
% 7.59/1.62 % (3620870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/1.62 % (3620870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/1.62 % (3620870)CaDiCaL version: 2.1.3
% 7.59/1.62 % (3620870)Termination reason: Instruction limit
% 7.59/1.62 % (3620870)Termination phase: Saturation
% 7.59/1.62 % (3620870)Time elapsed: 0.088 s
% 7.59/1.62 % (3620870)Peak memory usage: 92 MB
% 7.59/1.62 % (3620870)Instructions burned: 295 (million)
% 7.59/1.62 % (3620868)Instruction limit reached!
% 7.59/1.62 % (3620868)------------------------------
% 7.59/1.62 % (3620868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/1.62 % (3620868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/1.62 % (3620868)CaDiCaL version: 2.1.3
% 7.59/1.62 % (3620868)Termination reason: Instruction limit
% 7.59/1.62 % (3620868)Termination phase: Saturation
% 7.59/1.62 % (3620868)Time elapsed: 0.196 s
% 7.59/1.62 % (3620868)Peak memory usage: 91 MB
% 7.59/1.62 % (3620868)Instructions burned: 327 (million)
% 7.59/1.62 % (3620875)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3131397941:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 7.59/1.62 % (3620877)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=464796735:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 7.59/1.62 % (3620877)Instruction limit reached!
% 7.59/1.62 % (3620877)------------------------------
% 7.59/1.62 % (3620877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/1.62 % (3620877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/1.62 % (3620877)CaDiCaL version: 2.1.3
% 7.59/1.62 % (3620877)Termination reason: Instruction limit
% 7.59/1.62 % (3620877)Termination phase: Saturation
% 7.59/1.62 % (3620877)Time elapsed: 0.034 s
% 7.59/1.62 % (3620877)Peak memory usage: 90 MB
% 7.59/1.62 % (3620877)Instructions burned: 132 (million)
% 7.59/1.62 % (3620876)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2623391888:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 7.59/1.62 % (3620879)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=701929695:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 7.59/1.62 % (3620876)Instruction limit reached!
% 7.59/1.62 % (3620876)------------------------------
% 7.59/1.62 % (3620876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/1.62 % (3620876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/1.82 % (3620876)CaDiCaL version: 2.1.3
% 8.87/1.82 % (3620876)Termination reason: Instruction limit
% 8.87/1.82 % (3620876)Termination phase: Saturation
% 8.87/1.82 % (3620876)Time elapsed: 0.059 s
% 8.87/1.82 % (3620876)Peak memory usage: 90 MB
% 8.87/1.82 % (3620876)Instructions burned: 114 (million)
% 8.87/1.82 % (3620881)lrs+10_1_sil=8000:sp=occurrence:random_seed=3893827280:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 8.87/1.82 % (3620879)Instruction limit reached!
% 8.87/1.82 % (3620879)------------------------------
% 8.87/1.82 % (3620879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.87/1.82 % (3620879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/1.82 % (3620879)CaDiCaL version: 2.1.3
% 8.87/1.82 % (3620879)Termination reason: Instruction limit
% 8.87/1.82 % (3620879)Termination phase: Saturation
% 8.87/1.82 % (3620879)Time elapsed: 0.058 s
% 8.87/1.82 % (3620879)Peak memory usage: 90 MB
% 8.87/1.82 % (3620879)Instructions burned: 115 (million)
% 8.87/1.82 % (3620884)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4101244875:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 8.87/1.82 % (3620886)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2617728266:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 8.87/1.82 % (3620884)First to succeed.
% 8.87/1.82 % (3620884)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3620846"
% 8.87/1.82 % (3620853)Also succeeded, but the first one will report.
% 8.87/1.82 % (3620881)Instruction limit reached!
% 8.87/1.82 % (3620881)------------------------------
% 8.87/1.82 % (3620881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.87/1.82 % (3620881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/1.82 % (3620881)CaDiCaL version: 2.1.3
% 8.87/1.82 % (3620881)Termination reason: Instruction limit
% 8.87/1.82 % (3620881)Termination phase: Saturation
% 8.87/1.82 % (3620881)Time elapsed: 0.315 s
% 8.87/1.82 % (3620881)Peak memory usage: 97 MB
% 8.87/1.82 % (3620881)Instructions burned: 908 (million)
% 8.87/1.82 % (3620889)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3807282843:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 8.87/1.82 % (3620889)Instruction limit reached!
% 8.87/1.82 % (3620889)------------------------------
% 8.87/1.82 % (3620889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.87/1.82 % (3620889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/1.82 % (3620889)CaDiCaL version: 2.1.3
% 8.87/1.82 % (3620889)Termination reason: Instruction limit
% 8.87/1.82 % (3620889)Termination phase: Saturation
% 8.87/1.82 % (3620889)Time elapsed: 0.039 s
% 8.87/1.82 % (3620889)Peak memory usage: 92 MB
% 8.87/1.82 % (3620889)Instructions burned: 135 (million)
% 8.87/1.82 % (3620884)Refutation found. Thanks to Tanya!
% 8.87/1.82 % SZS status Theorem for theBenchmark
% 8.87/1.82 % SZS output start Proof for theBenchmark
% See solution above
% 8.87/1.82 % (3620884)------------------------------
% 8.87/1.82 % (3620884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.87/1.82 % (3620884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/1.82 % (3620884)CaDiCaL version: 2.1.3
% 8.87/1.82 % (3620884)Termination reason: Refutation
% 8.87/1.82 % (3620884)Time elapsed: 0.099 s
% 8.87/1.82 % (3620884)Peak memory usage: 93 MB
% 8.87/1.82 % (3620884)Instructions burned: 180 (million)
% 8.87/1.82 % (3620884)------------------------------
% 8.87/1.82 % (3620884)------------------------------
% 8.87/1.82 % (3620846)Success in time 1.214 s
% 8.87/1.82 % Vampire exiting
%------------------------------------------------------------------------------