%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW233+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 : n002.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 7.37s 2.01s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 49 ( 24 unt; 0 def)
% Number of atoms : 91 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 85 ( 43 ~; 33 |; 0 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,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(f5,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(f6,axiom,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__linear) ).
fof(f7,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(f33,axiom,
! [X0,X1] :
( class_Groups_Oordered__ab__group__add__abs(X1)
=> ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
=> c_Groups_Oabs__class_Oabs(X1,X0) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__of__nonneg) ).
fof(f35,axiom,
! [X0] :
( class_Rings_Olinordered__semidom(X0)
=> c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__le__one) ).
fof(f41,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(f77,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,X2,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__increasing) ).
fof(f1112,axiom,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs) ).
fof(f1114,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_Rings_Olinordered__semidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__semidom) ).
fof(f1171,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(f1261,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1262,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(negated_conjecture,[status(cth)],[f1261]) ).
fof(f1272,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(flattening,[],[f1262]) ).
fof(f1275,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,[],[f7]) ).
fof(f1276,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,[],[f1275]) ).
fof(f1316,plain,
! [X0,X1] :
( c_Groups_Oabs__class_Oabs(X1,X0) = X0
| ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
| ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f1317,plain,
! [X0,X1] :
( c_Groups_Oabs__class_Oabs(X1,X0) = X0
| ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
| ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
inference(flattening,[],[f1316]) ).
fof(f1319,plain,
! [X0] :
( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
| ~ class_Rings_Olinordered__semidom(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f1324,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,[],[f41]) ).
fof(f1370,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless__eq(X3,X1,c_Groups_Oplus__class_Oplus(X3,X2,X0))
| ~ 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,[],[f77]) ).
fof(f1371,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless__eq(X3,X1,c_Groups_Oplus__class_Oplus(X3,X2,X0))
| ~ 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,[],[f1370]) ).
fof(f2759,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,[],[f4]) ).
fof(f2760,plain,
! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f2761,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f2762,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,[],[f1276]) ).
fof(f2794,plain,
! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
| c_Groups_Oabs__class_Oabs(X1,X0) = X0
| ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
inference(cnf_transformation,[],[f1317]) ).
fof(f2796,plain,
! [X0] :
( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
| ~ class_Rings_Olinordered__semidom(X0) ),
inference(cnf_transformation,[],[f1319]) ).
fof(f2804,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,[],[f1324]) ).
fof(f2849,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(X3,X1,c_Groups_Oplus__class_Oplus(X3,X2,X0))
| ~ 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,[],[f1371]) ).
fof(f4299,plain,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1112]) ).
fof(f4301,plain,
class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1114]) ).
fof(f4314,plain,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1127]) ).
fof(f4358,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1171]) ).
fof(f4448,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(cnf_transformation,[],[f1272]) ).
fof(f4649,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,v_r____,X0) ),
inference(resolution,[],[f4448,f2762]) ).
fof(f4740,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
inference(resolution,[],[f4649,f2804]) ).
fof(f4741,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,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,[],[f4649,f2759]) ).
fof(f4798,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(forward_subsumption_resolution,[],[f4740,f4358]) ).
fof(f4822,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r____),
inference(resolution,[],[f4798,f2761]) ).
fof(f5244,plain,
( v_r____ = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)
| ~ class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) ),
inference(resolution,[],[f4822,f2794]) ).
fof(f5249,plain,
v_r____ = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____),
inference(forward_subsumption_resolution,[],[f5244,f4299]) ).
fof(f6258,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),v_r____)),
inference(forward_demodulation,[],[f4741,f5249]) ).
fof(f6283,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,v_r____)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ),
inference(resolution,[],[f6258,f2849]) ).
fof(f6305,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ),
inference(forward_subsumption_resolution,[],[f6283,f2760]) ).
fof(f6306,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(forward_subsumption_resolution,[],[f6305,f4301]) ).
fof(f6977,plain,
~ class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
inference(resolution,[],[f6306,f2796]) ).
fof(f6994,plain,
$false,
inference(forward_subsumption_resolution,[],[f6977,f4314]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW233+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n002.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 13:22:37 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 Running first-order theorem proving
% 0.09/0.19 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
% 7.37/2.01 % (349013)Detected formulas, will run a generic FOF schedule.
% 7.37/2.01 % (349018)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=38002679:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.37/2.01 % (349021)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1301178322:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.37/2.01 % (349023)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4174820934:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.37/2.01 % (349020)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=2969166927:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.37/2.01 % (349022)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3406477762:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.37/2.01 % (349024)dis-21_1_sil=8000:lcm=predicate:random_seed=1357686851: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)
% 7.37/2.01 % (349019)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=230443639:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.37/2.01 % (349022)Instruction limit reached!
% 7.37/2.01 % (349022)------------------------------
% 7.37/2.01 % (349022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/2.01 % (349022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/2.01 % (349022)CaDiCaL version: 2.1.3
% 7.37/2.01 % (349022)Termination reason: Instruction limit
% 7.37/2.01 % (349022)Termination phase: Saturation
% 7.37/2.01 % (349022)Time elapsed: 0.062 s
% 7.37/2.01 % (349022)Peak memory usage: 89 MB
% 7.37/2.01 % (349022)Instructions burned: 121 (million)
% 7.37/2.01 % (349024)Instruction limit reached!
% 7.37/2.01 % (349024)------------------------------
% 7.37/2.01 % (349024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/2.01 % (349024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/2.01 % (349024)CaDiCaL version: 2.1.3
% 7.37/2.01 % (349024)Termination reason: Instruction limit
% 7.37/2.01 % (349024)Termination phase: Saturation
% 7.37/2.01 % (349024)Time elapsed: 0.063 s
% 7.37/2.01 % (349024)Peak memory usage: 90 MB
% 7.37/2.01 % (349024)Instructions burned: 129 (million)
% 7.37/2.01 % (349021)Instruction limit reached!
% 7.37/2.01 % (349021)------------------------------
% 7.37/2.01 % (349021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/2.01 % (349021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/2.01 % (349021)CaDiCaL version: 2.1.3
% 7.37/2.01 % (349021)Termination reason: Instruction limit
% 7.37/2.01 % (349021)Termination phase: Saturation
% 7.37/2.01 % (349021)Time elapsed: 0.065 s
% 7.37/2.01 % (349021)Peak memory usage: 89 MB
% 7.37/2.01 % (349021)Instructions burned: 109 (million)
% 7.37/2.01 % (349023)Instruction limit reached!
% 7.37/2.01 % (349023)------------------------------
% 7.37/2.01 % (349023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/2.01 % (349023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/2.01 % (349023)CaDiCaL version: 2.1.3
% 7.37/2.01 % (349023)Termination reason: Instruction limit
% 7.37/2.01 % (349023)Termination phase: Saturation
% 7.37/2.01 % (349023)Time elapsed: 0.076 s
% 7.37/2.01 % (349023)Peak memory usage: 91 MB
% 7.37/2.01 % (349023)Instructions burned: 140 (million)
% 7.37/2.01 % (349032)lrs+10_1_sil=8000:sp=occurrence:random_seed=3246391680:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.37/2.01 % (349034)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1903872640:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.37/2.01 % (349033)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2465394374:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.37/2.01 % (349035)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=1202862922:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 7.37/2.01 % (349033)Instruction limit reached!
% 7.37/2.01 % (349033)------------------------------
% 7.37/2.01 % (349033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/2.01 % (349033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/2.01 % (349033)CaDiCaL version: 2.1.3
% 7.37/2.01 % (349033)Termination reason: Instruction limit
% 7.37/2.01 % (349033)Termination phase: Saturation
% 7.37/2.01 % (349033)Time elapsed: 0.089 s
% 7.37/2.01 % (349033)Peak memory usage: 90 MB
% 7.37/2.01 % (349033)Instructions burned: 157 (million)
% 7.37/2.01 % (349035)Instruction limit reached!
% 7.37/2.01 % (349035)------------------------------
% 7.37/2.01 % (349035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/2.01 % (349035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/2.01 % (349035)CaDiCaL version: 2.1.3
% 7.37/2.01 % (349035)Termination reason: Instruction limit
% 7.37/2.01 % (349035)Termination phase: Saturation
% 7.37/2.01 % (349035)Time elapsed: 0.142 s
% 7.37/2.01 % (349035)Peak memory usage: 92 MB
% 7.37/2.01 % (349035)Instructions burned: 248 (million)
% 7.37/2.01 % (349032)Instruction limit reached!
% 7.37/2.01 % (349032)------------------------------
% 7.37/2.01 % (349032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/2.01 % (349032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/2.01 % (349032)CaDiCaL version: 2.1.3
% 7.37/2.01 % (349032)Termination reason: Instruction limit
% 7.37/2.01 % (349032)Termination phase: Saturation
% 7.37/2.01 % (349032)Time elapsed: 0.182 s
% 7.37/2.01 % (349032)Peak memory usage: 92 MB
% 7.37/2.01 % (349032)Instructions burned: 286 (million)
% 7.37/2.01 % (349034)Instruction limit reached!
% 7.37/2.01 % (349034)------------------------------
% 7.37/2.01 % (349034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/2.01 % (349034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/2.01 % (349034)CaDiCaL version: 2.1.3
% 7.37/2.01 % (349034)Termination reason: Instruction limit
% 7.37/2.01 % (349034)Termination phase: Saturation
% 7.37/2.01 % (349034)Time elapsed: 0.182 s
% 7.37/2.01 % (349034)Peak memory usage: 90 MB
% 7.37/2.01 % (349034)Instructions burned: 326 (million)
% 7.37/2.01 % (349040)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2997444228:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 7.37/2.01 % (349041)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1761677368:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.37/2.01 % (349042)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1622931627:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.37/2.01 % (349043)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1282732888:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 7.37/2.01 % (349042)Instruction limit reached!
% 7.37/2.01 % (349042)------------------------------
% 7.37/2.01 % (349042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/2.01 % (349042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/2.01 % (349042)CaDiCaL version: 2.1.3
% 7.37/2.01 % (349042)Termination reason: Instruction limit
% 7.37/2.01 % (349042)Termination phase: Saturation
% 7.37/2.01 % (349042)Time elapsed: 0.056 s
% 7.37/2.01 % (349042)Peak memory usage: 90 MB
% 7.37/2.01 % (349042)Instructions burned: 113 (million)
% 7.37/2.01 % (349043)Instruction limit reached!
% 7.37/2.01 % (349043)------------------------------
% 7.37/2.01 % (349043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/2.01 % (349043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/2.01 % (349043)CaDiCaL version: 2.1.3
% 7.37/2.01 % (349043)Termination reason: Instruction limit
% 7.37/2.01 % (349043)Termination phase: Saturation
% 7.37/2.01 % (349043)Time elapsed: 0.061 s
% 7.37/2.01 % (349043)Peak memory usage: 90 MB
% 7.37/2.01 % (349043)Instructions burned: 127 (million)
% 7.37/2.01 % (349040)Instruction limit reached!
% 7.37/2.01 % (349040)------------------------------
% 7.37/2.01 % (349040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/2.01 % (349040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/2.01 % (349040)CaDiCaL version: 2.1.3
% 7.37/2.01 % (349040)Termination reason: Instruction limit
% 7.37/2.01 % (349040)Termination phase: Saturation
% 7.37/2.01 % (349040)Time elapsed: 0.164 s
% 7.37/2.01 % (349040)Peak memory usage: 92 MB
% 7.37/2.01 % (349040)Instructions burned: 295 (million)
% 7.37/2.01 % (349048)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1610963553:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 7.37/2.01 % (349049)lrs+10_1_sil=8000:sp=occurrence:random_seed=3577644451:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 7.37/2.01 % (349050)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=717256487:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 7.37/2.01 % (349048)Instruction limit reached!
% 7.37/2.01 % (349048)------------------------------
% 7.37/2.01 % (349048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/2.01 % (349048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/2.01 % (349048)CaDiCaL version: 2.1.3
% 7.37/2.01 % (349048)Termination reason: Instruction limit
% 7.37/2.01 % (349048)Termination phase: Saturation
% 7.37/2.01 % (349048)Time elapsed: 0.055 s
% 7.37/2.01 % (349048)Peak memory usage: 90 MB
% 7.37/2.01 % (349048)Instructions burned: 116 (million)
% 7.37/2.01 % (349050)First to succeed.
% 7.37/2.01 % (349050)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-349013"
% 7.37/2.01 % (349020)Also succeeded, but the first one will report.
% 7.37/2.01 % (349054)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3947967463:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 7.37/2.01 % (349018)Also succeeded, but the first one will report.
% 7.37/2.01 % (349050)Refutation found. Thanks to Tanya!
% 7.37/2.01 % SZS status Theorem for theBenchmark
% 7.37/2.01 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/2.21 % (349050)------------------------------
% 0.17/2.21 % (349050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/2.21 % (349050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/2.21 % (349050)CaDiCaL version: 2.1.3
% 0.17/2.21 % (349050)Termination reason: Refutation
% 0.17/2.21 % (349050)Time elapsed: 0.102 s
% 0.17/2.21 % (349050)Peak memory usage: 93 MB
% 0.17/2.21 % (349050)Instructions burned: 189 (million)
% 0.17/2.21 % (349050)------------------------------
% 0.17/2.21 % (349050)------------------------------
% 0.17/2.21 % (349013)Success in time 1.381 s
% 0.17/2.21 % Vampire exiting
%------------------------------------------------------------------------------