%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW207+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 01:29:50 PM UTC 2026
% Result : Theorem 4.60s 1.37s
% Output : Refutation 5.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 40 ( 18 unt; 0 def)
% Number of atoms : 85 ( 13 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 80 ( 35 ~; 28 |; 13 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 51 ( 47 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0))),v_r)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_assms) ).
fof(f13,axiom,
! [X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0))
<=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
& X1 != X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__less__def) ).
fof(f14,axiom,
! [X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
<=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0))
| X1 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__eq__real__def) ).
fof(f57,axiom,
! [X0,X1,X2] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X1))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__trans) ).
fof(f58,axiom,
! [X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__linear) ).
fof(f84,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,X0))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__Im__le__cmod) ).
fof(f554,axiom,
? [X0] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
& ! [X1] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X1))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Im_Opos__bounded) ).
fof(f1269,conjecture,
? [X0] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),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____,X1)))))),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1270,negated_conjecture,
~ ? [X0] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),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____,X1)))))),X0)) ),
inference(negated_conjecture,[status(cth)],[f1269]) ).
fof(f1278,plain,
! [X0] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),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____,X1)))))),X0)) ),
inference(ennf_transformation,[],[f1270]) ).
fof(f1279,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X0))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X1)) ),
inference(ennf_transformation,[],[f57]) ).
fof(f1280,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X0))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X1)) ),
inference(flattening,[],[f1279]) ).
fof(f1308,plain,
! [X0] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),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,hAPP(v_f____,hAPP(v_ga____,sK0(X0))))))),X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f1278]) ).
fof(f1309,plain,
! [X0,X1] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
| ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0))
& X0 != X1 ) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0))
| X1 = X0
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f1310,plain,
! [X0,X1] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
| ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0))
& X0 != X1 ) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0))
| X1 = X0
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ) ),
inference(flattening,[],[f1309]) ).
fof(f1311,plain,
! [X0,X1] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
| X0 = X1 )
& ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
& X1 != X0 )
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0)) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f1312,plain,
! [X0,X1] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
| X0 = X1 )
& ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
& X1 != X0 )
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0)) ) ),
inference(flattening,[],[f1311]) ).
fof(f1327,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sK4))
& ! [X1] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X1))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),sK4))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X0,sK4)],[f554]) ).
fof(f1328,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,hAPP(v_f____,hAPP(v_ga____,sK0(X0))))))),X0))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
inference(cnf_transformation,[],[f1308]) ).
fof(f1330,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f1331,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X1))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X0)) ),
inference(cnf_transformation,[],[f1280]) ).
fof(f1334,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
| X0 != X1 ),
inference(cnf_transformation,[],[f1310]) ).
fof(f1337,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
inference(cnf_transformation,[],[f1312]) ).
fof(f1338,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0))
| X0 = X1 ),
inference(cnf_transformation,[],[f1312]) ).
fof(f1401,plain,
! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0))),v_r)),
inference(cnf_transformation,[],[f12]) ).
fof(f1407,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sK4)),
inference(cnf_transformation,[],[f1327]) ).
fof(f1411,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,X0))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0))),
inference(cnf_transformation,[],[f84]) ).
fof(f1412,plain,
! [X1] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
inference(equality_resolution,[],[f1334]) ).
fof(f1432,plain,
~ 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____,sK0(sK4))))))),sK4)),
inference(unit_resulting_resolution,[],[f1328,f1407]) ).
fof(f1441,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),sK4)),
inference(unit_resulting_resolution,[],[f1337,f1407]) ).
fof(f1533,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)))),v_r)),
inference(unit_resulting_resolution,[],[f1331,f1401,f1411]) ).
fof(f1534,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK0(sK4)))))),sK4)),
inference(unit_resulting_resolution,[],[f1331,f1432,f1411]) ).
fof(f1545,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r),sK4)),
inference(unit_resulting_resolution,[],[f1331,f1401,f1534]) ).
fof(f1554,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
inference(unit_resulting_resolution,[],[f1331,f1441,f1545]) ).
fof(f1557,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sK4),v_r)),
inference(unit_resulting_resolution,[],[f1330,f1545]) ).
fof(f1568,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
inference(unit_resulting_resolution,[],[f1331,f1441,f1557]) ).
fof(f1611,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
inference(unit_resulting_resolution,[],[f1328,f1533]) ).
fof(f1620,plain,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v_r,
inference(unit_resulting_resolution,[],[f1338,f1568,f1611]) ).
fof(f1644,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r),v_r)),
inference(superposition,[],[f1554,f1620]) ).
fof(f1654,plain,
$false,
inference(forward_subsumption_resolution,[],[f1644,f1412]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW207+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n002.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 13:20:58 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 4.60/1.37 % (346326)Detected formulas, will run a generic FOF schedule.
% 4.60/1.37 % (346333)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=4024103899:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.60/1.37 % (346335)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3219808080:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.60/1.37 % (346337)dis-21_1_sil=8000:lcm=predicate:random_seed=4026308801: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)
% 4.60/1.37 % (346334)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1220318779:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.60/1.37 % (346332)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=1787462685:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.60/1.37 % (346331)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=1648094485:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.60/1.37 % (346336)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2137060202:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.60/1.37 % (346334)Instruction limit reached!
% 4.60/1.37 % (346334)------------------------------
% 4.60/1.37 % (346334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.60/1.37 % (346334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.60/1.37 % (346334)CaDiCaL version: 2.1.3
% 4.60/1.37 % (346334)Termination reason: Instruction limit
% 4.60/1.37 % (346334)Termination phase: Saturation
% 4.60/1.37 % (346334)Time elapsed: 0.057 s
% 4.60/1.37 % (346334)Peak memory usage: 89 MB
% 4.60/1.37 % (346334)Instructions burned: 110 (million)
% 4.60/1.37 % (346337)Instruction limit reached!
% 4.60/1.37 % (346337)------------------------------
% 4.60/1.37 % (346337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.60/1.37 % (346337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.60/1.37 % (346337)CaDiCaL version: 2.1.3
% 4.60/1.37 % (346337)Termination reason: Instruction limit
% 4.60/1.37 % (346337)Termination phase: Saturation
% 4.60/1.37 % (346337)Time elapsed: 0.059 s
% 4.60/1.37 % (346337)Peak memory usage: 90 MB
% 4.60/1.37 % (346337)Instructions burned: 129 (million)
% 4.60/1.37 % (346335)Instruction limit reached!
% 4.60/1.37 % (346335)------------------------------
% 4.60/1.37 % (346335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.60/1.37 % (346335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.60/1.37 % (346335)CaDiCaL version: 2.1.3
% 4.60/1.37 % (346335)Termination reason: Instruction limit
% 4.60/1.37 % (346335)Termination phase: Saturation
% 4.60/1.37 % (346335)Time elapsed: 0.065 s
% 4.60/1.37 % (346335)Peak memory usage: 90 MB
% 4.60/1.37 % (346335)Instructions burned: 119 (million)
% 4.60/1.37 % (346336)Instruction limit reached!
% 4.60/1.37 % (346336)------------------------------
% 4.60/1.37 % (346336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.60/1.37 % (346336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.60/1.37 % (346336)CaDiCaL version: 2.1.3
% 4.60/1.37 % (346336)Termination reason: Instruction limit
% 4.60/1.37 % (346336)Termination phase: Saturation
% 4.60/1.37 % (346336)Time elapsed: 0.068 s
% 4.60/1.37 % (346336)Peak memory usage: 90 MB
% 4.60/1.37 % (346336)Instructions burned: 139 (million)
% 4.60/1.37 % (346346)lrs+10_1_sil=32000:urr=on:br=off:random_seed=23978072:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.60/1.37 % (346345)lrs+10_1_sil=8000:sp=occurrence:random_seed=94355053:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.60/1.37 % (346347)lrs+1011_1_sil=32000:sp=occurrence:random_seed=236125337:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 4.60/1.37 % (346348)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=3310277550:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 4.60/1.37 % (346346)First to succeed.
% 4.60/1.37 % (346346)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-346326"
% 4.60/1.37 % (346347)Also succeeded, but the first one will report.
% 4.60/1.37 % (346348)Instruction limit reached!
% 4.60/1.37 % (346348)------------------------------
% 4.60/1.37 % (346348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.60/1.37 % (346348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.60/1.37 % (346348)CaDiCaL version: 2.1.3
% 4.60/1.37 % (346348)Termination reason: Instruction limit
% 4.60/1.37 % (346348)Termination phase: Saturation
% 4.60/1.37 % (346348)Time elapsed: 0.141 s
% 4.60/1.37 % (346348)Peak memory usage: 92 MB
% 4.60/1.37 % (346348)Instructions burned: 249 (million)
% 4.60/1.37 % (346345)Instruction limit reached!
% 4.60/1.37 % (346345)------------------------------
% 4.60/1.37 % (346345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.60/1.37 % (346345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.60/1.37 % (346345)CaDiCaL version: 2.1.3
% 4.60/1.37 % (346345)Termination reason: Instruction limit
% 4.60/1.37 % (346345)Termination phase: Saturation
% 4.60/1.37 % (346345)Time elapsed: 0.178 s
% 4.60/1.37 % (346345)Peak memory usage: 92 MB
% 4.60/1.37 % (346345)Instructions burned: 285 (million)
% 4.60/1.37 % (346346)Refutation found. Thanks to Tanya!
% 4.60/1.37 % SZS status Theorem for theBenchmark
% 4.60/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 5.36/1.57 % (346346)------------------------------
% 5.36/1.57 % (346346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.57 % (346346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.57 % (346346)CaDiCaL version: 2.1.3
% 5.36/1.57 % (346346)Termination reason: Refutation
% 5.36/1.57 % (346346)Time elapsed: 0.027 s
% 5.36/1.57 % (346346)Peak memory usage: 90 MB
% 5.36/1.57 % (346346)Instructions burned: 48 (million)
% 5.36/1.57 % (346346)------------------------------
% 5.36/1.57 % (346346)------------------------------
% 5.36/1.57 % (346326)Success in time 0.727 s
% 5.36/1.57 % Vampire exiting
%------------------------------------------------------------------------------