%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW294+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 : n011.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 01:30:02 PM UTC 2026
% Result : Theorem 33.45s 6.03s
% Output : Refutation 33.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 13 unt; 1 def)
% Number of atoms : 40 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 17 ~; 6 |; 2 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-4 aty)
% Number of variables : 37 ( 2 sgn 31 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f192,axiom,
! [X0,X1,X2,X3] :
( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X3),X2,X1,X0)
=> ~ ! [X4] :
( X1 = hAPP(c_Nat_OSuc,X4)
=> ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X2,X4,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_evaln__elim__cases_I6_J) ).
fof(f208,axiom,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Zero__not__Suc) ).
fof(f5207,conjecture,
! [X0,X1] :
( v_P(X0,X1)
=> ! [X2] :
( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
=> v_Q(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f5208,negated_conjecture,
~ ! [X0,X1] :
( v_P(X0,X1)
=> ! [X2] :
( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
=> v_Q(X0,X2) ) ),
inference(negated_conjecture,[status(cth)],[f5207]) ).
fof(f5231,plain,
~ ! [X0,X1] :
( v_P(X0,X1)
=> ! [X2] : ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2) ),
inference(pure_predicate_removal,[],[f5208]) ).
fof(f5232,plain,
~ ! [X1,X0,X2] : ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2),
inference(pure_predicate_removal,[],[f5231]) ).
fof(f5478,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X2,X4,X0)
& X1 = hAPP(c_Nat_OSuc,X4) )
| ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X3),X2,X1,X0) ),
inference(ennf_transformation,[],[f192]) ).
fof(f9442,plain,
? [X1,X0,X2] : c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2),
inference(ennf_transformation,[],[f5232]) ).
fof(f9529,plain,
! [X0,X1,X2,X3] :
( ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X2,sK22(X0,X1,X2,X3),X0)
& hAPP(c_Nat_OSuc,sK22(X0,X1,X2,X3)) = X1 )
| ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X3),X2,X1,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(X4,sK22(X0,X1,X2,X3))],[f5478]) ).
fof(f11022,plain,
? [X0,X2] : c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2),
inference(rectify,[],[f9442]) ).
fof(f11023,plain,
c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),sK484,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),sK485),
inference(skolemize,[status(esa),new_symbols(skolem,[sK484,sK485]),skolemize(X0,sK484),skolemize(X2,sK485)],[f11022]) ).
fof(f11310,plain,
! [X2,X3,X0,X1] :
( hAPP(c_Nat_OSuc,sK22(X0,X1,X2,X3)) = X1
| ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X3),X2,X1,X0) ),
inference(cnf_transformation,[],[f9529]) ).
fof(f11330,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X0),
inference(cnf_transformation,[],[f208]) ).
fof(f18016,plain,
c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),sK484,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),sK485),
inference(cnf_transformation,[],[f11023]) ).
fof(f19832,definition,
( spl653_1
<=> c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),sK484,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),sK485) ),
introduced(definition,[new_symbols(definition,[spl653_1])],[avatar_definition]) ).
fof(f19834,plain,
( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),sK484,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),sK485)
| ~ spl653_1 ),
inference(avatar_component_clause,[],[f19832]) ).
fof(f19835,plain,
spl653_1,
inference(avatar_split_clause,[],[f18016,f19832]) ).
fof(f19836,plain,
( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Nat_OSuc,sK22(sK485,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),sK484,v_pn))
| ~ spl653_1 ),
inference(resolution,[],[f19834,f11310]) ).
fof(f20077,plain,
( $false
| ~ spl653_1 ),
inference(forward_subsumption_resolution,[],[f19836,f11330]) ).
fof(f20078,plain,
~ spl653_1,
inference(avatar_contradiction_clause,[],[f20077]) ).
cnf(s1,plain,
spl653_1,
inference(sat_conversion,[],[f19835]) ).
cnf(s2,plain,
~ spl653_1,
inference(sat_conversion,[],[f20078]) ).
cnf(s3,plain,
$false,
inference(rat,[],[s1,s2]) ).
fof(f20099,plain,
$false,
inference(avatar_sat_refutation,[],[s3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWW294+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.25 % Computer : n011.cluster.edu
% 0.11/0.25 % Model : x86_64 x86_64
% 0.11/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.25 % Memory : 8046.5625MB
% 0.11/0.25 % OS : Linux 6.8.0-71-generic
% 0.11/0.25 % CPULimit : 300
% 0.11/0.25 % WCLimit : 300
% 0.11/0.25 % DateTime : Mon Sep 28 13:31:00 UTC 2026
% 0.11/0.26 % CPUTime :
% 0.11/0.26 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.32 Running first-order theorem proving
% 0.26/0.32 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
% 21.70/4.17 % (3383091)Detected formulas, will run a generic FOF schedule.
% 21.70/4.17 % (3383106)dis-21_1_sil=8000:lcm=predicate:random_seed=1787297832:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 21.70/4.17 % (3383104)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1093181150:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 21.70/4.17 % (3383105)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3930284498:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 21.70/4.17 % (3383100)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=2387525199:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 21.70/4.17 % (3383102)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=309060593:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 21.70/4.17 % (3383101)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=2647484439:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 21.70/4.17 % (3383103)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1922097564:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 21.70/4.17 % (3383103)Refutation not found, incomplete strategy
% 21.70/4.17 % (3383103)------------------------------
% 21.70/4.17 % (3383103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.70/4.17 % (3383103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.70/4.17 % (3383103)CaDiCaL version: 2.1.3
% 21.70/4.17 % (3383103)Termination reason: Refutation not found, incomplete strategy
% 21.70/4.17 % (3383103)Time elapsed: 0.035 s
% 21.70/4.17 % (3383103)Peak memory usage: 94 MB
% 21.70/4.17 % (3383103)Instructions burned: 31 (million)
% 21.70/4.17 % (3383104)Instruction limit reached!
% 21.70/4.17 % (3383104)------------------------------
% 21.70/4.17 % (3383104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.70/4.17 % (3383104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.70/4.17 % (3383104)CaDiCaL version: 2.1.3
% 21.70/4.17 % (3383104)Termination reason: Instruction limit
% 21.70/4.17 % (3383104)Termination phase: Saturation
% 21.70/4.17 % (3383104)Time elapsed: 0.099 s
% 21.70/4.17 % (3383104)Peak memory usage: 94 MB
% 21.70/4.17 % (3383104)Instructions burned: 119 (million)
% 21.70/4.17 % (3383105)Instruction limit reached!
% 21.70/4.17 % (3383105)------------------------------
% 21.70/4.17 % (3383105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.70/4.17 % (3383105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.70/4.17 % (3383105)CaDiCaL version: 2.1.3
% 21.70/4.17 % (3383105)Termination reason: Instruction limit
% 21.70/4.17 % (3383105)Termination phase: SInE selection
% 21.70/4.17 % (3383105)Time elapsed: 0.112 s
% 21.70/4.17 % (3383105)Peak memory usage: 90 MB
% 21.70/4.17 % (3383105)Instructions burned: 140 (million)
% 21.70/4.17 % (3383106)Instruction limit reached!
% 21.70/4.17 % (3383106)------------------------------
% 21.70/4.17 % (3383106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.70/4.17 % (3383106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.70/4.17 % (3383106)CaDiCaL version: 2.1.3
% 21.70/4.17 % (3383106)Termination reason: Instruction limit
% 21.70/4.17 % (3383106)Termination phase: Preprocessing 3
% 21.70/4.17 % (3383106)Time elapsed: 0.136 s
% 21.70/4.17 % (3383106)Peak memory usage: 93 MB
% 21.70/4.17 % (3383106)Instructions burned: 129 (million)
% 21.70/4.17 % (3383114)lrs+10_1_sil=8000:sp=occurrence:random_seed=908800746:i=285:sd=3:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/285Mi)
% 21.70/4.17 % (3383115)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3569441118:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/157Mi)
% 21.70/4.17 % (3383116)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2783201964:i=325:sd=1:ss=axioms:sgt=32_2991 on theBenchmark for (2991ds/325Mi)
% 21.70/4.17 % (3383115)Instruction limit reached!
% 21.70/4.17 % (3383115)------------------------------
% 21.70/4.17 % (3383115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.70/4.17 % (3383115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.85/5.54 % (3383115)CaDiCaL version: 2.1.3
% 30.85/5.54 % (3383115)Termination reason: Instruction limit
% 30.85/5.54 % (3383115)Termination phase: Saturation
% 30.85/5.54 % (3383115)Time elapsed: 0.073 s
% 30.85/5.54 % (3383115)Peak memory usage: 94 MB
% 30.85/5.54 % (3383115)Instructions burned: 157 (million)
% 30.85/5.54 % (3383103)------------------------------
% 30.85/5.54 % (3383103)------------------------------
% 30.85/5.54 % (3383116)Refutation not found, incomplete strategy
% 30.85/5.54 % (3383116)------------------------------
% 30.85/5.54 % (3383116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.85/5.54 % (3383116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.85/5.54 % (3383116)CaDiCaL version: 2.1.3
% 30.85/5.54 % (3383116)Termination reason: Refutation not found, incomplete strategy
% 30.85/5.54 % (3383116)Time elapsed: 0.039 s
% 30.85/5.54 % (3383116)Peak memory usage: 94 MB
% 30.85/5.54 % (3383116)Instructions burned: 31 (million)
% 30.85/5.54 % (3383114)Instruction limit reached!
% 30.85/5.54 % (3383114)------------------------------
% 30.85/5.54 % (3383114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.85/5.54 % (3383114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.85/5.54 % (3383114)CaDiCaL version: 2.1.3
% 30.85/5.54 % (3383114)Termination reason: Instruction limit
% 30.85/5.54 % (3383114)Termination phase: Saturation
% 30.85/5.54 % (3383114)Time elapsed: 0.197 s
% 30.85/5.54 % (3383114)Peak memory usage: 96 MB
% 30.85/5.54 % (3383114)Instructions burned: 285 (million)
% 30.85/5.54 % (3383120)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=2619393090:s2a=on:i=248:s2at=1.23:gtg=position_2989 on theBenchmark for (2989ds/248Mi)
% 30.85/5.54 % (3383122)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3439648587:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 30.85/5.54 % (3383121)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3313217511:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 30.85/5.54 % (3383120)Instruction limit reached!
% 30.85/5.54 % (3383120)------------------------------
% 30.85/5.54 % (3383120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.85/5.54 % (3383120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.85/5.54 % (3383120)CaDiCaL version: 2.1.3
% 30.85/5.54 % (3383120)Termination reason: Instruction limit
% 30.85/5.54 % (3383120)Termination phase: Preprocessing 3
% 30.85/5.54 % (3383120)Time elapsed: 0.127 s
% 30.85/5.54 % (3383120)Peak memory usage: 93 MB
% 30.85/5.54 % (3383120)Instructions burned: 248 (million)
% 30.85/5.54 % (3383116)------------------------------
% 30.85/5.54 % (3383116)------------------------------
% 30.85/5.54 % (3383121)Refutation not found, incomplete strategy
% 30.85/5.54 % (3383121)------------------------------
% 30.85/5.54 % (3383121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.85/5.54 % (3383121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.85/5.54 % (3383121)CaDiCaL version: 2.1.3
% 30.85/5.54 % (3383121)Termination reason: Refutation not found, incomplete strategy
% 30.85/5.54 % (3383121)Time elapsed: 0.247 s
% 30.85/5.54 % (3383121)Peak memory usage: 97 MB
% 30.85/5.54 % (3383121)Instructions burned: 242 (million)
% 30.85/5.54 % (3383126)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3739003605:cts=off:i=113:fsr=off:ss=included:sgt=4_2985 on theBenchmark for (2985ds/113Mi)
% 30.85/5.54 % (3383126)Instruction limit reached!
% 30.85/5.54 % (3383126)------------------------------
% 30.85/5.54 % (3383126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.85/5.54 % (3383126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.85/5.54 % (3383126)CaDiCaL version: 2.1.3
% 30.85/5.54 % (3383126)Termination reason: Instruction limit
% 30.85/5.54 % (3383126)Termination phase: Preprocessing 3
% 30.85/5.54 % (3383126)Time elapsed: 0.073 s
% 30.85/5.54 % (3383126)Peak memory usage: 93 MB
% 30.85/5.54 % (3383126)Instructions burned: 113 (million)
% 30.85/5.54 % (3383127)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2865337126:i=127:av=off:fsr=off:sup=off_2984 on theBenchmark for (2984ds/127Mi)
% 30.85/5.54 % (3383127)Instruction limit reached!
% 30.85/5.54 % (3383127)------------------------------
% 30.85/5.54 % (3383127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.85/5.54 % (3383127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.79/5.80 % (3383127)CaDiCaL version: 2.1.3
% 27.79/5.80 % (3383127)Termination reason: Instruction limit
% 27.79/5.80 % (3383127)Termination phase: Preprocessing 3
% 27.79/5.80 % (3383127)Time elapsed: 0.135 s
% 27.79/5.80 % (3383127)Peak memory usage: 94 MB
% 27.79/5.80 % (3383127)Instructions burned: 127 (million)
% 27.79/5.80 % (3383129)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3804496943:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2982 on theBenchmark for (2982ds/114Mi)
% 27.79/5.80 % (3383129)Instruction limit reached!
% 27.79/5.80 % (3383129)------------------------------
% 27.79/5.80 % (3383129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.79/5.80 % (3383129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.79/5.80 % (3383129)CaDiCaL version: 2.1.3
% 27.79/5.80 % (3383129)Termination reason: Instruction limit
% 27.79/5.80 % (3383129)Termination phase: Property scanning
% 27.79/5.80 % (3383129)Time elapsed: 0.046 s
% 27.79/5.80 % (3383129)Peak memory usage: 90 MB
% 27.79/5.80 % (3383129)Instructions burned: 116 (million)
% 27.79/5.80 % (3383121)------------------------------
% 27.79/5.80 % (3383121)------------------------------
% 27.79/5.80 % (3383132)lrs+10_1_sil=8000:sp=occurrence:random_seed=755662784:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2980 on theBenchmark for (2980ds/907Mi)
% 27.79/5.80 % (3383133)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1492085746:i=437:sd=1:aac=none:ss=included_2979 on theBenchmark for (2979ds/437Mi)
% 27.79/5.80 % (3383134)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3551773603:i=5202:ss=axioms:sgt=16_2979 on theBenchmark for (2979ds/5202Mi)
% 27.79/5.80 % (3383133)Instruction limit reached!
% 27.79/5.80 % (3383133)------------------------------
% 27.79/5.80 % (3383133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.79/5.80 % (3383133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.79/5.80 % (3383133)CaDiCaL version: 2.1.3
% 27.79/5.80 % (3383133)Termination reason: Instruction limit
% 27.79/5.80 % (3383133)Termination phase: Property scanning
% 27.79/5.80 % (3383133)Time elapsed: 0.214 s
% 27.79/5.80 % (3383133)Peak memory usage: 96 MB
% 27.79/5.80 % (3383133)Instructions burned: 439 (million)
% 27.79/5.80 % (3383138)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2769360091:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2975 on theBenchmark for (2975ds/134Mi)
% 27.79/5.80 % (3383138)Instruction limit reached!
% 27.79/5.80 % (3383138)------------------------------
% 27.79/5.80 % (3383138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.79/5.80 % (3383138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.79/5.80 % (3383138)CaDiCaL version: 2.1.3
% 27.79/5.80 % (3383138)Termination reason: Instruction limit
% 27.79/5.80 % (3383138)Termination phase: NewCNF
% 27.79/5.80 % (3383138)Time elapsed: 0.089 s
% 27.79/5.80 % (3383138)Peak memory usage: 95 MB
% 27.79/5.80 % (3383138)Instructions burned: 135 (million)
% 27.79/5.80 % (3383140)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4250170552:st=8:i=592:sd=3:ep=RST:ss=axioms_2971 on theBenchmark for (2971ds/592Mi)
% 27.79/5.80 % (3383132)Instruction limit reached!
% 27.79/5.80 % (3383132)------------------------------
% 27.79/5.80 % (3383132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.79/5.80 % (3383132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.79/5.80 % (3383132)CaDiCaL version: 2.1.3
% 27.79/5.80 % (3383132)Termination reason: Instruction limit
% 27.79/5.80 % (3383132)Termination phase: Saturation
% 27.79/5.80 % (3383132)Time elapsed: 0.917 s
% 27.79/5.80 % (3383132)Peak memory usage: 101 MB
% 27.79/5.80 % (3383132)Instructions burned: 907 (million)
% 27.79/5.80 % (3383140)Instruction limit reached!
% 27.79/5.80 % (3383140)------------------------------
% 27.79/5.80 % (3383140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.79/5.80 % (3383140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.79/5.80 % (3383140)CaDiCaL version: 2.1.3
% 27.79/5.80 % (3383140)Termination reason: Instruction limit
% 27.79/5.80 % (3383140)Termination phase: Property scanning
% 27.79/5.80 % (3383140)Time elapsed: 0.280 s
% 27.79/5.80 % (3383140)Peak memory usage: 96 MB
% 27.79/5.80 % (3383140)Instructions burned: 595 (million)
% 27.79/5.80 % (3383142)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2184873756:st=3:i=13193:sd=3:ss=axioms_2968 on theBenchmark for (2968ds/13193Mi)
% 33.45/6.03 % (3383143)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=51488917:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2966 on theBenchmark for (2966ds/125Mi)
% 33.45/6.03 % (3383143)Instruction limit reached!
% 33.45/6.03 % (3383143)------------------------------
% 33.45/6.03 % (3383143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.45/6.03 % (3383143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.45/6.03 % (3383143)CaDiCaL version: 2.1.3
% 33.45/6.03 % (3383143)Termination reason: Instruction limit
% 33.45/6.03 % (3383143)Termination phase: SInE selection
% 33.45/6.03 % (3383143)Time elapsed: 0.052 s
% 33.45/6.03 % (3383143)Peak memory usage: 90 MB
% 33.45/6.03 % (3383143)Instructions burned: 125 (million)
% 33.45/6.03 % (3383122)Instruction limit reached!
% 33.45/6.03 % (3383122)------------------------------
% 33.45/6.03 % (3383122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.45/6.03 % (3383122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.45/6.03 % (3383122)CaDiCaL version: 2.1.3
% 33.45/6.03 % (3383122)Termination reason: Instruction limit
% 33.45/6.03 % (3383122)Termination phase: Saturation
% 33.45/6.03 % (3383122)Time elapsed: 2.383 s
% 33.45/6.03 % (3383122)Peak memory usage: 194 MB
% 33.45/6.03 % (3383122)Instructions burned: 2351 (million)
% 33.45/6.03 % (3383146)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2049610890:i=134:gtgl=5:slsql=off:gtg=exists_sym_2963 on theBenchmark for (2963ds/134Mi)
% 33.45/6.03 % (3383146)Instruction limit reached!
% 33.45/6.03 % (3383146)------------------------------
% 33.45/6.03 % (3383146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.45/6.03 % (3383146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.45/6.03 % (3383146)CaDiCaL version: 2.1.3
% 33.45/6.03 % (3383146)Termination reason: Instruction limit
% 33.45/6.03 % (3383146)Termination phase: Initialization
% 33.45/6.03 % (3383146)Time elapsed: 0.055 s
% 33.45/6.03 % (3383146)Peak memory usage: 90 MB
% 33.45/6.03 % (3383146)Instructions burned: 135 (million)
% 33.45/6.03 % (3383147)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3484352661:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2962 on theBenchmark for (2962ds/141Mi)
% 33.45/6.03 % (3383147)Refutation not found, incomplete strategy
% 33.45/6.03 % (3383147)------------------------------
% 33.45/6.03 % (3383147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.45/6.03 % (3383147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.45/6.03 % (3383147)CaDiCaL version: 2.1.3
% 33.45/6.03 % (3383147)Termination reason: Refutation not found, incomplete strategy
% 33.45/6.03 % (3383147)Time elapsed: 0.036 s
% 33.45/6.03 % (3383147)Peak memory usage: 94 MB
% 33.45/6.03 % (3383147)Instructions burned: 31 (million)
% 33.45/6.03 % (3383149)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1032558834:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2960 on theBenchmark for (2960ds/431Mi)
% 33.45/6.03 % (3383149)Refutation not found, incomplete strategy
% 33.45/6.03 % (3383149)------------------------------
% 33.45/6.03 % (3383149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.45/6.03 % (3383149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.45/6.03 % (3383149)CaDiCaL version: 2.1.3
% 33.45/6.03 % (3383149)Termination reason: Refutation not found, incomplete strategy
% 33.45/6.03 % (3383149)Time elapsed: 0.029 s
% 33.45/6.03 % (3383149)Peak memory usage: 94 MB
% 33.45/6.03 % (3383149)Instructions burned: 42 (million)
% 33.45/6.03 % (3383149)------------------------------
% 33.45/6.03 % (3383149)------------------------------
% 33.45/6.03 % (3383147)------------------------------
% 33.45/6.03 % (3383147)------------------------------
% 33.45/6.03 % (3383102)First to succeed.
% 33.45/6.03 % (3383102)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3383091"
% 33.45/6.03 % (3383152)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=107581713:i=6060:aac=none:ins=25_2955 on theBenchmark for (2955ds/6060Mi)
% 33.45/6.03 % (3383153)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2325277230:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2954 on theBenchmark for (2954ds/150Mi)
% 33.45/6.03 % (3383153)Instruction limit reached!
% 33.45/6.03 % (3383153)------------------------------
% 33.45/6.03 % (3383153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.45/6.03 % (3383153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.45/6.03 % (3383153)CaDiCaL version: 2.1.3
% 33.45/6.03 % (3383153)Termination reason: Instruction limit
% 33.45/6.03 % (3383153)Termination phase: Preprocessing 3
% 33.45/6.03 % (3383153)Time elapsed: 0.152 s
% 33.45/6.03 % (3383153)Peak memory usage: 94 MB
% 33.45/6.03 % (3383153)Instructions burned: 150 (million)
% 33.45/6.03 % (3383102)Refutation found. Thanks to Tanya!
% 33.45/6.03 % SZS status Theorem for theBenchmark
% 33.45/6.03 % SZS output start Proof for theBenchmark
% See solution above
% 33.45/6.03 % (3383102)------------------------------
% 33.45/6.03 % (3383102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.45/6.03 % (3383102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.45/6.03 % (3383102)CaDiCaL version: 2.1.3
% 33.45/6.03 % (3383102)Termination reason: Refutation
% 33.45/6.03 % (3383102)Time elapsed: 3.806 s
% 33.45/6.03 % (3383102)Peak memory usage: 249 MB
% 33.45/6.03 % (3383102)Instructions burned: 3627 (million)
% 33.45/6.03 % (3383102)------------------------------
% 33.45/6.03 % (3383102)------------------------------
% 33.45/6.03 % (3383091)Success in time 5.039 s
% 33.45/6.03 % Vampire exiting
%------------------------------------------------------------------------------