%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW178+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 : n001.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 01:29:46 PM UTC 2026
% Result : Theorem 4.13s 1.31s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 44 ( 21 unt; 0 def)
% Number of atoms : 77 ( 19 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 71 ( 38 ~; 24 |; 1 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__le__refl) ).
fof(f38,axiom,
! [X0,X1,X2] :
( class_RealVector_Oreal__normed__vector(X2)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,c_Groups_Ominus__class_Ominus(X2,X1,X0)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X2,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__triangle__ineq4) ).
fof(f63,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/sandbox2/benchmark/theBenchmark.p',fact_real__le__trans) ).
fof(f89,axiom,
! [X0,X1] : c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X0) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_complex__diff__def) ).
fof(f105,axiom,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring__1(X3)
=> c_Groups_Oplus__class_Oplus(X3,c_Groups_Oplus__class_Oplus(X3,X2,X1),X0) = c_Groups_Oplus__class_Oplus(X3,X2,c_Groups_Oplus__class_Oplus(X3,X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J) ).
fof(f251,axiom,
! [X0,X1] :
( class_Rings_Ocomm__semiring__1(X1)
=> c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Ozero__class_Ozero(X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J) ).
fof(f256,axiom,
! [X0,X1,X2] :
( class_Groups_Ogroup__add(X2)
=> ( c_Groups_Ominus__class_Ominus(X2,X1,X0) = c_Groups_Ozero__class_Ozero(X2)
<=> X1 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_right__minus__eq) ).
fof(f1169,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(f1180,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
fof(f1189,axiom,
class_Groups_Ogroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ogroup__add) ).
fof(f1200,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1201,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z))),
inference(negated_conjecture,[status(cth)],[f1200]) ).
fof(f1202,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z))),
inference(flattening,[],[f1201]) ).
fof(f1352,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,[],[f63]) ).
fof(f1353,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,[],[f1352]) ).
fof(f1416,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,c_Groups_Ominus__class_Ominus(X2,X1,X0)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X2,X0)))
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(ennf_transformation,[],[f38]) ).
fof(f1552,plain,
! [X0,X1,X2] :
( ( c_Groups_Ominus__class_Ominus(X2,X1,X0) = c_Groups_Ozero__class_Ozero(X2)
<=> X1 = X0 )
| ~ class_Groups_Ogroup__add(X2) ),
inference(ennf_transformation,[],[f256]) ).
fof(f1586,plain,
! [X0,X1] :
( c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Ozero__class_Ozero(X1)) = X0
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(ennf_transformation,[],[f251]) ).
fof(f1588,plain,
! [X0,X1,X2,X3] :
( c_Groups_Oplus__class_Oplus(X3,c_Groups_Oplus__class_Oplus(X3,X2,X1),X0) = c_Groups_Oplus__class_Oplus(X3,X2,c_Groups_Oplus__class_Oplus(X3,X1,X0))
| ~ class_Rings_Ocomm__semiring__1(X3) ),
inference(ennf_transformation,[],[f105]) ).
fof(f1829,plain,
! [X0,X1,X2] :
( ( ( c_Groups_Ominus__class_Ominus(X2,X1,X0) = c_Groups_Ozero__class_Ozero(X2)
| X0 != X1 )
& ( X1 = X0
| c_Groups_Ominus__class_Ominus(X2,X1,X0) != c_Groups_Ozero__class_Ozero(X2) ) )
| ~ class_Groups_Ogroup__add(X2) ),
inference(nnf_transformation,[],[f1552]) ).
fof(f1854,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z))),
inference(cnf_transformation,[],[f1202]) ).
fof(f1998,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,[],[f1353]) ).
fof(f2000,plain,
! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0),
inference(cnf_transformation,[],[f13]) ).
fof(f2030,plain,
class_Groups_Ogroup__add(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1189]) ).
fof(f2031,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1180]) ).
fof(f2032,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1169]) ).
fof(f2047,plain,
! [X0,X1] : c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X0) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X0)),
inference(cnf_transformation,[],[f89]) ).
fof(f2200,plain,
! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,c_Groups_Ominus__class_Ominus(X2,X1,X0)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X2,X0)))
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(cnf_transformation,[],[f1416]) ).
fof(f2461,plain,
! [X2,X0,X1] :
( c_Groups_Ominus__class_Ominus(X2,X1,X0) = c_Groups_Ozero__class_Ozero(X2)
| X0 != X1
| ~ class_Groups_Ogroup__add(X2) ),
inference(cnf_transformation,[],[f1829]) ).
fof(f2500,plain,
! [X0,X1] :
( c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Ozero__class_Ozero(X1)) = X0
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(cnf_transformation,[],[f1586]) ).
fof(f2502,plain,
! [X2,X3,X0,X1] :
( c_Groups_Oplus__class_Oplus(X3,c_Groups_Oplus__class_Oplus(X3,X2,X1),X0) = c_Groups_Oplus__class_Oplus(X3,X2,c_Groups_Oplus__class_Oplus(X3,X1,X0))
| ~ class_Rings_Ocomm__semiring__1(X3) ),
inference(cnf_transformation,[],[f1588]) ).
fof(f2847,plain,
! [X2,X1] :
( c_Groups_Ozero__class_Ozero(X2) = c_Groups_Ominus__class_Ominus(X2,X1,X1)
| ~ class_Groups_Ogroup__add(X2) ),
inference(equality_resolution,[],[f2461]) ).
fof(f2867,plain,
! [X0] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),X0) ),
inference(resolution,[],[f1854,f1998]) ).
fof(f2901,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z),v_z)))
| ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
inference(resolution,[],[f2867,f2200]) ).
fof(f2948,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z),v_z))),
inference(forward_subsumption_resolution,[],[f2901,f2032]) ).
fof(f2949,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_z)))),
inference(forward_demodulation,[],[f2948,f2047]) ).
fof(f3013,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_z)))))
| ~ class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[],[f2949,f2502]) ).
fof(f3018,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_z))))),
inference(forward_subsumption_resolution,[],[f3013,f2031]) ).
fof(f3023,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_z,v_z)))),
inference(forward_demodulation,[],[f3018,f2047]) ).
fof(f3382,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))
| ~ class_Groups_Ogroup__add(tc_Complex_Ocomplex) ),
inference(superposition,[],[f3023,f2847]) ).
fof(f3387,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),
inference(forward_subsumption_resolution,[],[f3382,f2030]) ).
fof(f3587,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w))
| ~ class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[],[f3387,f2500]) ).
fof(f3592,plain,
~ class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[],[f3587,f2000]) ).
fof(f3593,plain,
$false,
inference(forward_subsumption_resolution,[],[f3592,f2031]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW178+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 : n001.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 13:18:18 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 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
% 4.13/1.31 % (346297)Detected formulas, will run a generic FOF schedule.
% 4.13/1.31 % (346305)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1135605045:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.13/1.31 % (346305)Instruction limit reached!
% 4.13/1.31 % (346305)------------------------------
% 4.13/1.31 % (346305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.31 % (346305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.31 % (346305)CaDiCaL version: 2.1.3
% 4.13/1.31 % (346305)Termination reason: Instruction limit
% 4.13/1.31 % (346305)Termination phase: Saturation
% 4.13/1.31 % (346305)Time elapsed: 0.033 s
% 4.13/1.31 % (346305)Peak memory usage: 89 MB
% 4.13/1.31 % (346305)Instructions burned: 111 (million)
% 4.13/1.31 % (346307)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2733204561:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.13/1.31 % (346306)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3636505484:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.13/1.31 % (346302)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=1894405744:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.13/1.31 % (346308)dis-21_1_sil=8000:lcm=predicate:random_seed=1104257753: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)
% 4.13/1.31 % (346303)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=3117867238:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.13/1.31 % (346304)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=4044899165:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.13/1.31 % (346306)Instruction limit reached!
% 4.13/1.31 % (346306)------------------------------
% 4.13/1.31 % (346306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.31 % (346306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.31 % (346306)CaDiCaL version: 2.1.3
% 4.13/1.31 % (346306)Termination reason: Instruction limit
% 4.13/1.31 % (346306)Termination phase: Saturation
% 4.13/1.31 % (346306)Time elapsed: 0.058 s
% 4.13/1.31 % (346306)Peak memory usage: 89 MB
% 4.13/1.31 % (346306)Instructions burned: 120 (million)
% 4.13/1.31 % (346308)Instruction limit reached!
% 4.13/1.31 % (346308)------------------------------
% 4.13/1.31 % (346308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.31 % (346308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.31 % (346308)CaDiCaL version: 2.1.3
% 4.13/1.31 % (346308)Termination reason: Instruction limit
% 4.13/1.31 % (346308)Termination phase: Saturation
% 4.13/1.31 % (346308)Time elapsed: 0.069 s
% 4.13/1.31 % (346308)Peak memory usage: 91 MB
% 4.13/1.31 % (346308)Instructions burned: 130 (million)
% 4.13/1.31 % (346310)lrs+10_1_sil=8000:sp=occurrence:random_seed=281428381:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.13/1.31 % (346307)Instruction limit reached!
% 4.13/1.31 % (346307)------------------------------
% 4.13/1.31 % (346307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.31 % (346307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.31 % (346307)CaDiCaL version: 2.1.3
% 4.13/1.31 % (346307)Termination reason: Instruction limit
% 4.13/1.31 % (346307)Termination phase: Saturation
% 4.13/1.31 % (346307)Time elapsed: 0.077 s
% 4.13/1.31 % (346307)Peak memory usage: 91 MB
% 4.13/1.31 % (346307)Instructions burned: 140 (million)
% 4.13/1.31 % (346310)Instruction limit reached!
% 4.13/1.31 % (346310)------------------------------
% 4.13/1.31 % (346310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.31 % (346310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.31 % (346310)CaDiCaL version: 2.1.3
% 4.13/1.31 % (346310)Termination reason: Instruction limit
% 4.13/1.31 % (346310)Termination phase: Saturation
% 4.13/1.31 % (346310)Time elapsed: 0.097 s
% 4.13/1.31 % (346310)Peak memory usage: 92 MB
% 4.13/1.31 % (346310)Instructions burned: 288 (million)
% 4.13/1.31 % (346317)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2891326592:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.13/1.31 % (346320)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=84677183:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.13/1.31 % (346319)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3444268381:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.13/1.31 % (346321)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1941003904:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.13/1.31 % (346317)Instruction limit reached!
% 4.13/1.31 % (346317)------------------------------
% 4.13/1.31 % (346317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.31 % (346317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.31 % (346317)CaDiCaL version: 2.1.3
% 4.13/1.31 % (346317)Termination reason: Instruction limit
% 4.13/1.31 % (346317)Termination phase: Saturation
% 4.13/1.31 % (346317)Time elapsed: 0.093 s
% 4.13/1.31 % (346317)Peak memory usage: 90 MB
% 4.13/1.31 % (346317)Instructions burned: 157 (million)
% 4.13/1.31 % (346321)First to succeed.
% 4.13/1.31 % (346321)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-346297"
% 4.13/1.31 % (346320)Instruction limit reached!
% 4.13/1.31 % (346320)------------------------------
% 4.13/1.31 % (346320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.31 % (346320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.31 % (346320)CaDiCaL version: 2.1.3
% 4.13/1.31 % (346320)Termination reason: Instruction limit
% 4.13/1.31 % (346320)Termination phase: Saturation
% 4.13/1.31 % (346320)Time elapsed: 0.144 s
% 4.13/1.31 % (346320)Peak memory usage: 91 MB
% 4.13/1.31 % (346320)Instructions burned: 248 (million)
% 4.13/1.31 % (346319)Instruction limit reached!
% 4.13/1.31 % (346319)------------------------------
% 4.13/1.31 % (346319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.31 % (346319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.31 % (346319)CaDiCaL version: 2.1.3
% 4.13/1.31 % (346319)Termination reason: Instruction limit
% 4.13/1.31 % (346319)Termination phase: Saturation
% 4.13/1.31 % (346319)Time elapsed: 0.180 s
% 4.13/1.31 % (346319)Peak memory usage: 91 MB
% 4.13/1.31 % (346319)Instructions burned: 326 (million)
% 4.13/1.31 % (346326)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2500253427:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.13/1.31 % (346321)Refutation found. Thanks to Tanya!
% 4.13/1.31 % SZS status Theorem for theBenchmark
% 4.13/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.51 % (346321)------------------------------
% 0.19/1.51 % (346321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.51 % (346321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.51 % (346321)CaDiCaL version: 2.1.3
% 0.19/1.51 % (346321)Termination reason: Refutation
% 0.19/1.51 % (346321)Time elapsed: 0.031 s
% 0.19/1.51 % (346321)Peak memory usage: 91 MB
% 0.19/1.51 % (346321)Instructions burned: 101 (million)
% 0.19/1.51 % (346321)------------------------------
% 0.19/1.51 % (346321)------------------------------
% 0.19/1.51 % (346297)Success in time 0.65 s
% 0.19/1.51 % Vampire exiting
%------------------------------------------------------------------------------