%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW223+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 : 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 01:29:53 PM UTC 2026
% Result : ContradictoryAxioms 18.09s 3.43s
% Output : Refutation 18.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 19 unt; 0 def)
% Number of atoms : 62 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 59 ( 31 ~; 22 |; 0 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( class_Int_Onumber__ring(X1)
=> c_Groups_Otimes__class_Otimes(X1,X0,c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(X1,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__2__right) ).
fof(f76,axiom,
! [X0,X1,X2,X3,X4] :
( class_Groups_Oordered__cancel__ab__semigroup__add(X4)
=> ( c_Orderings_Oord__class_Oless(X4,X3,X2)
=> ( c_Orderings_Oord__class_Oless(X4,X1,X0)
=> c_Orderings_Oord__class_Oless(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1),c_Groups_Oplus__class_Oplus(X4,X2,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__strict__mono) ).
fof(f203,axiom,
! [X0,X1] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X0) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__mult__commute) ).
fof(f216,axiom,
! [X0,X1,X2] :
( class_Orderings_Olinorder(X2)
=> ( c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
=> ~ c_Orderings_Oord__class_Oless(X2,X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_leD) ).
fof(f1098,axiom,
class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add) ).
fof(f1144,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Olinorder) ).
fof(f1153,axiom,
class_Int_Onumber__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Int_Onumber__ring) ).
fof(f1203,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_a____,v_e2____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1204,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_b____,v_m____)),v_e2____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f1205,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),v_e2____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_b____,v_m____)),v_a____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
fof(f1209,plain,
! [X0,X1] :
( c_Groups_Otimes__class_Otimes(X1,X0,c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(X1,X0,X0)
| ~ class_Int_Onumber__ring(X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1255,plain,
! [X0,X1,X2,X3,X4] :
( c_Orderings_Oord__class_Oless(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1),c_Groups_Oplus__class_Oplus(X4,X2,X0))
| ~ c_Orderings_Oord__class_Oless(X4,X1,X0)
| ~ c_Orderings_Oord__class_Oless(X4,X3,X2)
| ~ class_Groups_Oordered__cancel__ab__semigroup__add(X4) ),
inference(ennf_transformation,[],[f76]) ).
fof(f1256,plain,
! [X0,X1,X2,X3,X4] :
( c_Orderings_Oord__class_Oless(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1),c_Groups_Oplus__class_Oplus(X4,X2,X0))
| ~ c_Orderings_Oord__class_Oless(X4,X1,X0)
| ~ c_Orderings_Oord__class_Oless(X4,X3,X2)
| ~ class_Groups_Oordered__cancel__ab__semigroup__add(X4) ),
inference(flattening,[],[f1255]) ).
fof(f1421,plain,
! [X0,X1,X2] :
( ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
| ~ class_Orderings_Olinorder(X2) ),
inference(ennf_transformation,[],[f216]) ).
fof(f1422,plain,
! [X0,X1,X2] :
( ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
| ~ class_Orderings_Olinorder(X2) ),
inference(flattening,[],[f1421]) ).
fof(f2651,plain,
! [X0,X1] :
( c_Groups_Otimes__class_Otimes(X1,X0,c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(X1,X0,X0)
| ~ class_Int_Onumber__ring(X1) ),
inference(cnf_transformation,[],[f1209]) ).
fof(f2765,plain,
! [X2,X3,X0,X1,X4] :
( c_Orderings_Oord__class_Oless(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1),c_Groups_Oplus__class_Oplus(X4,X2,X0))
| ~ c_Orderings_Oord__class_Oless(X4,X1,X0)
| ~ c_Orderings_Oord__class_Oless(X4,X3,X2)
| ~ class_Groups_Oordered__cancel__ab__semigroup__add(X4) ),
inference(cnf_transformation,[],[f1256]) ).
fof(f2927,plain,
! [X0,X1] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X0) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1),
inference(cnf_transformation,[],[f203]) ).
fof(f2949,plain,
! [X2,X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
| ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
| ~ class_Orderings_Olinorder(X2) ),
inference(cnf_transformation,[],[f1422]) ).
fof(f4265,plain,
class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1098]) ).
fof(f4311,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1144]) ).
fof(f4320,plain,
class_Int_Onumber__ring(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1153]) ).
fof(f4370,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_a____,v_e2____),
inference(cnf_transformation,[],[f1203]) ).
fof(f4371,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_b____,v_m____)),v_e2____),
inference(cnf_transformation,[],[f1204]) ).
fof(f4372,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),v_e2____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_b____,v_m____)),v_a____)),
inference(cnf_transformation,[],[f1205]) ).
fof(f4584,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_e2____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_b____,v_m____)),v_a____)),
inference(forward_demodulation,[],[f4372,f2927]) ).
fof(f4682,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_e2____,v_e2____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_b____,v_m____)),v_a____))
| ~ class_Int_Onumber__ring(tc_RealDef_Oreal) ),
inference(superposition,[],[f4584,f2651]) ).
fof(f4687,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_e2____,v_e2____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_b____,v_m____)),v_a____)),
inference(forward_subsumption_resolution,[],[f4682,f4320]) ).
fof(f5034,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_b____,v_m____)),v_a____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_e2____,v_e2____))
| ~ class_Orderings_Olinorder(tc_RealDef_Oreal) ),
inference(resolution,[],[f4687,f2949]) ).
fof(f5039,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_b____,v_m____)),v_a____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_e2____,v_e2____)),
inference(forward_subsumption_resolution,[],[f5034,f4311]) ).
fof(f9441,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_a____,v_e2____)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_b____,v_m____)),v_e2____)
| ~ class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
inference(resolution,[],[f5039,f2765]) ).
fof(f9496,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_b____,v_m____)),v_e2____)
| ~ class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
inference(forward_subsumption_resolution,[],[f9441,f4370]) ).
fof(f9523,plain,
~ class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
inference(forward_subsumption_resolution,[],[f9496,f4371]) ).
fof(f9526,plain,
$false,
inference(forward_subsumption_resolution,[],[f9523,f4265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW223+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.24 % Computer : n002.cluster.edu
% 0.11/0.24 % Model : x86_64 x86_64
% 0.11/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.24 % Memory : 8046.5625MB
% 0.11/0.24 % OS : Linux 6.8.0-71-generic
% 0.11/0.24 % CPULimit : 300
% 0.11/0.25 % WCLimit : 300
% 0.11/0.25 % DateTime : Mon Sep 28 13:21:52 UTC 2026
% 0.11/0.25 % CPUTime :
% 0.11/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.30 Running first-order theorem proving
% 0.24/0.30 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
% 17.53/3.20 % (347683)Detected formulas, will run a generic FOF schedule.
% 17.53/3.20 % (347690)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=3408815110:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 17.53/3.20 % (347692)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1160599926:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 17.53/3.20 % (347694)dis-21_1_sil=8000:lcm=predicate:random_seed=3015183697: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)
% 17.53/3.20 % (347688)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=1580772331:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 17.53/3.20 % (347691)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3374725470:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 17.53/3.20 % (347693)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=197897620:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 17.53/3.20 % (347689)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=3581555679:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 17.53/3.20 % (347694)Instruction limit reached!
% 17.53/3.20 % (347694)------------------------------
% 17.53/3.20 % (347694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.53/3.20 % (347694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.53/3.20 % (347694)CaDiCaL version: 2.1.3
% 17.53/3.20 % (347694)Termination reason: Instruction limit
% 17.53/3.20 % (347694)Termination phase: Saturation
% 17.53/3.20 % (347694)Time elapsed: 0.107 s
% 17.53/3.20 % (347694)Peak memory usage: 90 MB
% 17.53/3.20 % (347694)Instructions burned: 129 (million)
% 17.53/3.20 % (347691)Instruction limit reached!
% 17.53/3.20 % (347691)------------------------------
% 17.53/3.20 % (347691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.53/3.20 % (347691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.53/3.20 % (347691)CaDiCaL version: 2.1.3
% 17.53/3.20 % (347691)Termination reason: Instruction limit
% 17.53/3.20 % (347691)Termination phase: Saturation
% 17.53/3.20 % (347691)Time elapsed: 0.108 s
% 17.53/3.20 % (347691)Peak memory usage: 90 MB
% 17.53/3.20 % (347691)Instructions burned: 109 (million)
% 17.53/3.20 % (347692)Instruction limit reached!
% 17.53/3.20 % (347692)------------------------------
% 17.53/3.20 % (347692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.53/3.20 % (347692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.53/3.20 % (347692)CaDiCaL version: 2.1.3
% 17.53/3.20 % (347692)Termination reason: Instruction limit
% 17.53/3.20 % (347692)Termination phase: Saturation
% 17.53/3.20 % (347692)Time elapsed: 0.122 s
% 17.53/3.20 % (347692)Peak memory usage: 90 MB
% 17.53/3.20 % (347692)Instructions burned: 123 (million)
% 17.53/3.20 % (347693)Instruction limit reached!
% 17.53/3.20 % (347693)------------------------------
% 17.53/3.20 % (347693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.53/3.20 % (347693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.53/3.20 % (347693)CaDiCaL version: 2.1.3
% 17.53/3.20 % (347693)Termination reason: Instruction limit
% 17.53/3.20 % (347693)Termination phase: Saturation
% 17.53/3.20 % (347693)Time elapsed: 0.137 s
% 17.53/3.20 % (347693)Peak memory usage: 91 MB
% 17.53/3.20 % (347693)Instructions burned: 139 (million)
% 17.53/3.20 % (347704)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3947449227:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 17.53/3.20 % (347702)lrs+10_1_sil=8000:sp=occurrence:random_seed=1183110622:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 17.53/3.20 % (347703)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1888114762:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 17.53/3.20 % (347703)Refutation not found, incomplete strategy
% 17.53/3.20 % (347703)------------------------------
% 17.53/3.20 % (347703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.53/3.20 % (347703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.53/3.20 % (347703)CaDiCaL version: 2.1.3
% 17.53/3.20 % (347703)Termination reason: Refutation not found, incomplete strategy
% 17.53/3.20 % (347703)Time elapsed: 0.016 s
% 17.53/3.20 % (347703)Peak memory usage: 88 MB
% 17.53/3.20 % (347703)Instructions burned: 16 (million)
% 17.53/3.20 % (347705)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=578842687:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 17.53/3.20 % (347702)Instruction limit reached!
% 17.53/3.20 % (347702)------------------------------
% 17.53/3.20 % (347702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.53/3.20 % (347702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.53/3.20 % (347702)CaDiCaL version: 2.1.3
% 17.53/3.20 % (347702)Termination reason: Instruction limit
% 17.53/3.20 % (347702)Termination phase: Saturation
% 17.53/3.20 % (347702)Time elapsed: 0.283 s
% 17.53/3.20 % (347702)Peak memory usage: 91 MB
% 17.53/3.20 % (347702)Instructions burned: 285 (million)
% 17.53/3.20 % (347705)Instruction limit reached!
% 17.53/3.20 % (347705)------------------------------
% 17.53/3.20 % (347705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.53/3.20 % (347705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.53/3.20 % (347705)CaDiCaL version: 2.1.3
% 17.53/3.20 % (347705)Termination reason: Instruction limit
% 17.53/3.20 % (347705)Termination phase: Saturation
% 17.53/3.20 % (347705)Time elapsed: 0.237 s
% 17.53/3.20 % (347705)Peak memory usage: 93 MB
% 17.53/3.20 % (347705)Instructions burned: 249 (million)
% 17.53/3.20 % (347704)Instruction limit reached!
% 17.53/3.20 % (347704)------------------------------
% 17.53/3.20 % (347704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.53/3.20 % (347704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.53/3.20 % (347704)CaDiCaL version: 2.1.3
% 17.53/3.20 % (347704)Termination reason: Instruction limit
% 17.53/3.20 % (347704)Termination phase: Saturation
% 17.53/3.20 % (347704)Time elapsed: 0.320 s
% 17.53/3.20 % (347704)Peak memory usage: 92 MB
% 17.53/3.20 % (347704)Instructions burned: 325 (million)
% 17.53/3.20 % (347703)------------------------------
% 17.53/3.20 % (347703)------------------------------
% 17.53/3.20 % (347711)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2642113607:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 17.53/3.20 % (347710)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=239988980:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2990 on theBenchmark for (2990ds/294Mi)
% 17.53/3.20 % (347712)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=793690630:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 17.53/3.20 % (347715)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3010132284:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 17.53/3.20 % (347712)Instruction limit reached!
% 17.53/3.20 % (347712)------------------------------
% 17.53/3.20 % (347712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.53/3.20 % (347712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.53/3.20 % (347712)CaDiCaL version: 2.1.3
% 17.53/3.20 % (347712)Termination reason: Instruction limit
% 17.53/3.20 % (347712)Termination phase: Saturation
% 17.53/3.20 % (347712)Time elapsed: 0.108 s
% 17.53/3.20 % (347712)Peak memory usage: 90 MB
% 17.53/3.20 % (347712)Instructions burned: 113 (million)
% 17.53/3.20 % (347715)Instruction limit reached!
% 17.53/3.20 % (347715)------------------------------
% 17.53/3.20 % (347715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.53/3.20 % (347715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.53/3.20 % (347715)CaDiCaL version: 2.1.3
% 17.53/3.20 % (347715)Termination reason: Instruction limit
% 17.53/3.20 % (347715)Termination phase: Saturation
% 17.53/3.20 % (347715)Time elapsed: 0.110 s
% 17.53/3.20 % (347715)Peak memory usage: 90 MB
% 17.53/3.20 % (347715)Instructions burned: 128 (million)
% 17.53/3.20 % (347710)Instruction limit reached!
% 17.53/3.20 % (347710)------------------------------
% 17.53/3.20 % (347710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.53/3.20 % (347710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.53/3.20 % (347710)CaDiCaL version: 2.1.3
% 17.53/3.20 % (347710)Termination reason: Instruction limit
% 17.53/3.20 % (347710)Termination phase: Saturation
% 17.53/3.20 % (347710)Time elapsed: 0.285 s
% 18.09/3.43 % (347710)Peak memory usage: 92 MB
% 18.09/3.43 % (347710)Instructions burned: 295 (million)
% 18.09/3.43 % (347720)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2307451213:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 18.09/3.43 % (347720)Instruction limit reached!
% 18.09/3.43 % (347720)------------------------------
% 18.09/3.43 % (347720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.09/3.43 % (347720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/3.43 % (347720)CaDiCaL version: 2.1.3
% 18.09/3.43 % (347720)Termination reason: Instruction limit
% 18.09/3.43 % (347720)Termination phase: Saturation
% 18.09/3.43 % (347720)Time elapsed: 0.097 s
% 18.09/3.43 % (347720)Peak memory usage: 90 MB
% 18.09/3.43 % (347720)Instructions burned: 114 (million)
% 18.09/3.43 % (347721)lrs+10_1_sil=8000:sp=occurrence:random_seed=473537167:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 18.09/3.43 % (347722)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1534408580:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 18.09/3.43 % (347724)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2114395787:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 18.09/3.43 % (347722)First to succeed.
% 18.09/3.43 % (347722)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-347683"
% 18.09/3.43 % (347722)Refutation found. Thanks to Tanya!
% 18.09/3.43 % SZS status ContradictoryAxioms for theBenchmark
% 18.09/3.43 % SZS output start Proof for theBenchmark
% See solution above
% 18.09/3.43 % (347722)------------------------------
% 18.09/3.43 % (347722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.09/3.43 % (347722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.09/3.43 % (347722)CaDiCaL version: 2.1.3
% 18.09/3.43 % (347722)Termination reason: Refutation
% 18.09/3.43 % (347722)Time elapsed: 0.249 s
% 18.09/3.43 % (347722)Peak memory usage: 93 MB
% 18.09/3.43 % (347722)Instructions burned: 272 (million)
% 18.09/3.43 % (347722)------------------------------
% 18.09/3.43 % (347722)------------------------------
% 18.09/3.43 % (347683)Success in time 2.494 s
% 18.09/3.43 % Vampire exiting
%------------------------------------------------------------------------------