%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP015+5 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 11:28:17 AM UTC 2026
% Result : Theorem 25.57s 6.55s
% Output : Refutation 25.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 14 unt; 1 def)
% Number of atoms : 78 ( 18 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 76 ( 39 ~; 26 |; 2 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 30 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2] :
( mem(X2,arr(X0,X1))
=> ! [X3] :
( mem(X3,X0)
=> mem(ap(X2,X3),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_tp) ).
fof(f1242,axiom,
mem(c_2Earithmetic_2EZERO,ty_2Enum_2Enum),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Earithmetic_2EZERO) ).
fof(f1248,axiom,
c_2Earithmetic_2EZERO = c_2Enum_2E0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Earithmetic_2EALT__ZERO) ).
fof(f10570,axiom,
! [X0] :
( ne(X0)
=> mem(c_2Ewords_2En2w(X0),arr(ty_2Enum_2Enum,ty_2Efcp_2Ecart(bool,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ewords_2En2w) ).
fof(f13585,axiom,
! [X0] :
( ne(X0)
=> ! [X1] :
( mem(X1,ty_2Efcp_2Ecart(bool,X0))
=> ap(c_2Einteger__word_2Ei2w(X0),ap(c_2Einteger__word_2Ew2i(X0),X1)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Einteger__word_2Ei2w__w2i) ).
fof(f13608,axiom,
! [X0] :
( ne(X0)
=> ap(c_2Einteger__word_2Ew2i(X0),ap(c_2Ewords_2En2w(X0),c_2Enum_2E0)) = ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Einteger__word_2Eword__0__w2i) ).
fof(f13634,conjecture,
! [X0] :
( ne(X0)
=> ap(c_2Einteger__word_2Ei2w(X0),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(c_2Ewords_2En2w(X0),c_2Enum_2E0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Einteger__word_2Ei2w__0) ).
fof(f13635,negated_conjecture,
~ ! [X0] :
( ne(X0)
=> ap(c_2Einteger__word_2Ei2w(X0),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(c_2Ewords_2En2w(X0),c_2Enum_2E0) ),
inference(negated_conjecture,[status(cth)],[f13634]) ).
fof(f13726,plain,
? [X0] :
( ap(c_2Ewords_2En2w(X0),c_2Enum_2E0) != ap(c_2Einteger__word_2Ei2w(X0),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))
& ne(X0) ),
inference(ennf_transformation,[],[f13635]) ).
fof(f13744,plain,
! [X0] :
( mem(c_2Ewords_2En2w(X0),arr(ty_2Enum_2Enum,ty_2Efcp_2Ecart(bool,X0)))
| ~ ne(X0) ),
inference(ennf_transformation,[],[f10570]) ).
fof(f13758,plain,
! [X0] :
( ! [X1] :
( ap(c_2Einteger__word_2Ei2w(X0),ap(c_2Einteger__word_2Ew2i(X0),X1)) = X1
| ~ mem(X1,ty_2Efcp_2Ecart(bool,X0)) )
| ~ ne(X0) ),
inference(ennf_transformation,[],[f13585]) ).
fof(f13815,plain,
! [X0,X1,X2] :
( ! [X3] :
( mem(ap(X2,X3),X1)
| ~ mem(X3,X0) )
| ~ mem(X2,arr(X0,X1)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f14342,plain,
! [X0] :
( ap(c_2Einteger__word_2Ew2i(X0),ap(c_2Ewords_2En2w(X0),c_2Enum_2E0)) = ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)
| ~ ne(X0) ),
inference(ennf_transformation,[],[f13608]) ).
fof(f16125,plain,
( ap(c_2Ewords_2En2w(sK302),c_2Enum_2E0) != ap(c_2Einteger__word_2Ei2w(sK302),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))
& ne(sK302) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK302]),skolemize(X0,sK302)],[f13726]) ).
fof(f18067,plain,
ne(sK302),
inference(cnf_transformation,[],[f16125]) ).
fof(f18068,plain,
ap(c_2Ewords_2En2w(sK302),c_2Enum_2E0) != ap(c_2Einteger__word_2Ei2w(sK302),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),
inference(cnf_transformation,[],[f16125]) ).
fof(f18087,plain,
! [X0] :
( mem(c_2Ewords_2En2w(X0),arr(ty_2Enum_2Enum,ty_2Efcp_2Ecart(bool,X0)))
| ~ ne(X0) ),
inference(cnf_transformation,[],[f13744]) ).
fof(f18102,plain,
! [X0,X1] :
( ap(c_2Einteger__word_2Ei2w(X0),ap(c_2Einteger__word_2Ew2i(X0),X1)) = X1
| ~ mem(X1,ty_2Efcp_2Ecart(bool,X0))
| ~ ne(X0) ),
inference(cnf_transformation,[],[f13758]) ).
fof(f18344,plain,
! [X2,X3,X0,X1] :
( mem(ap(X2,X3),X1)
| ~ mem(X3,X0)
| ~ mem(X2,arr(X0,X1)) ),
inference(cnf_transformation,[],[f13815]) ).
fof(f19562,plain,
c_2Enum_2E0 = c_2Earithmetic_2EZERO,
inference(cnf_transformation,[],[f1248]) ).
fof(f19563,plain,
mem(c_2Earithmetic_2EZERO,ty_2Enum_2Enum),
inference(cnf_transformation,[],[f1242]) ).
fof(f19913,plain,
! [X0] :
( ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0) = ap(c_2Einteger__word_2Ew2i(X0),ap(c_2Ewords_2En2w(X0),c_2Enum_2E0))
| ~ ne(X0) ),
inference(cnf_transformation,[],[f14342]) ).
fof(f23053,plain,
ap(c_2Ewords_2En2w(sK302),c_2Earithmetic_2EZERO) != ap(c_2Einteger__word_2Ei2w(sK302),ap(c_2Einteger_2Eint__of__num,c_2Earithmetic_2EZERO)),
inference(definition_unfolding,[],[f18068,f19562,f19562]) ).
fof(f23273,plain,
! [X0] :
( ap(c_2Einteger_2Eint__of__num,c_2Earithmetic_2EZERO) = ap(c_2Einteger__word_2Ew2i(X0),ap(c_2Ewords_2En2w(X0),c_2Earithmetic_2EZERO))
| ~ ne(X0) ),
inference(definition_unfolding,[],[f19913,f19562,f19562]) ).
fof(f24536,definition,
( spl1228_1
<=> mem(c_2Earithmetic_2EZERO,ty_2Enum_2Enum) ),
introduced(definition,[new_symbols(definition,[spl1228_1])],[avatar_definition]) ).
fof(f24537,plain,
( mem(c_2Earithmetic_2EZERO,ty_2Enum_2Enum)
| ~ spl1228_1 ),
inference(avatar_component_clause,[],[f24536]) ).
fof(f24957,plain,
spl1228_1,
inference(avatar_split_clause,[],[f19563,f24536]) ).
fof(f25447,plain,
! [X0] :
( ap(c_2Ewords_2En2w(X0),c_2Earithmetic_2EZERO) = ap(c_2Einteger__word_2Ei2w(X0),ap(c_2Einteger_2Eint__of__num,c_2Earithmetic_2EZERO))
| ~ mem(ap(c_2Ewords_2En2w(X0),c_2Earithmetic_2EZERO),ty_2Efcp_2Ecart(bool,X0))
| ~ ne(X0)
| ~ ne(X0) ),
inference(superposition,[],[f18102,f23273]) ).
fof(f25449,plain,
! [X0] :
( ap(c_2Ewords_2En2w(X0),c_2Earithmetic_2EZERO) = ap(c_2Einteger__word_2Ei2w(X0),ap(c_2Einteger_2Eint__of__num,c_2Earithmetic_2EZERO))
| ~ mem(ap(c_2Ewords_2En2w(X0),c_2Earithmetic_2EZERO),ty_2Efcp_2Ecart(bool,X0))
| ~ ne(X0) ),
inference(duplicate_literal_removal,[],[f25447]) ).
fof(f26099,plain,
( ap(c_2Ewords_2En2w(sK302),c_2Earithmetic_2EZERO) != ap(c_2Ewords_2En2w(sK302),c_2Earithmetic_2EZERO)
| ~ mem(ap(c_2Ewords_2En2w(sK302),c_2Earithmetic_2EZERO),ty_2Efcp_2Ecart(bool,sK302))
| ~ ne(sK302) ),
inference(superposition,[],[f23053,f25449]) ).
fof(f26103,plain,
( ~ mem(ap(c_2Ewords_2En2w(sK302),c_2Earithmetic_2EZERO),ty_2Efcp_2Ecart(bool,sK302))
| ~ ne(sK302) ),
inference(trivial_inequality_removal,[],[f26099]) ).
fof(f27325,plain,
~ mem(ap(c_2Ewords_2En2w(sK302),c_2Earithmetic_2EZERO),ty_2Efcp_2Ecart(bool,sK302)),
inference(forward_subsumption_resolution,[],[f26103,f18067]) ).
fof(f27357,plain,
! [X0] :
( ~ mem(c_2Ewords_2En2w(sK302),arr(X0,ty_2Efcp_2Ecart(bool,sK302)))
| ~ mem(c_2Earithmetic_2EZERO,X0) ),
inference(resolution,[],[f27325,f18344]) ).
fof(f27358,plain,
( ~ mem(c_2Earithmetic_2EZERO,ty_2Enum_2Enum)
| ~ ne(sK302) ),
inference(resolution,[],[f27357,f18087]) ).
fof(f27359,plain,
( ~ ne(sK302)
| ~ spl1228_1 ),
inference(forward_subsumption_resolution,[],[f27358,f24537]) ).
fof(f27360,plain,
( $false
| ~ spl1228_1 ),
inference(forward_subsumption_resolution,[],[f27359,f18067]) ).
fof(f27361,plain,
~ spl1228_1,
inference(avatar_contradiction_clause,[],[f27360]) ).
cnf(s78,plain,
spl1228_1,
inference(sat_conversion,[],[f24957]) ).
cnf(s245,plain,
~ spl1228_1,
inference(sat_conversion,[],[f27361]) ).
cnf(s289,plain,
$false,
inference(rat,[],[s78,s245]) ).
fof(f27362,plain,
$false,
inference(avatar_sat_refutation,[],[s289]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP015+5 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n019.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 12:02:06 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 14.29/4.95 % (2958872)Detected formulas, will run a generic FOF schedule.
% 14.29/4.95 % (2958880)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=461310580:i=109:sd=1:ins=1:gsp=on:ss=axioms_2977 on theBenchmark for (2977ds/109Mi)
% 14.29/4.95 % (2958878)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=4158439889:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2977 on theBenchmark for (2977ds/134677Mi)
% 14.29/4.95 % (2958879)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=515699500:i=141695:sd=1:nm=32:gsp=on:ss=included_2977 on theBenchmark for (2977ds/141695Mi)
% 14.29/4.95 % (2958877)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=3199931439:i=141193_2977 on theBenchmark for (2977ds/141193Mi)
% 14.29/4.95 % (2958883)dis-21_1_sil=8000:lcm=predicate:random_seed=3266224448:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2977 on theBenchmark for (2977ds/129Mi)
% 14.29/4.95 % (2958881)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3741301832:i=119:av=off:ss=axioms_2977 on theBenchmark for (2977ds/119Mi)
% 14.29/4.95 % (2958882)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1922708845:s2a=on:i=139:gtg=position_2977 on theBenchmark for (2977ds/139Mi)
% 14.29/4.95 % (2958880)Instruction limit reached!
% 14.29/4.95 % (2958880)------------------------------
% 14.29/4.95 % (2958880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.29/4.95 % (2958880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.29/4.95 % (2958880)CaDiCaL version: 2.1.3
% 14.29/4.95 % (2958880)Termination reason: Instruction limit
% 14.29/4.95 % (2958880)Termination phase: SInE selection
% 14.29/4.95 % (2958880)Time elapsed: 0.049 s
% 14.29/4.95 % (2958880)Peak memory usage: 115 MB
% 14.29/4.95 % (2958880)Instructions burned: 110 (million)
% 14.29/4.95 % (2958882)Instruction limit reached!
% 14.29/4.95 % (2958882)------------------------------
% 14.29/4.95 % (2958882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.29/4.95 % (2958882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.29/4.95 % (2958882)CaDiCaL version: 2.1.3
% 14.29/4.95 % (2958882)Termination reason: Instruction limit
% 14.29/4.95 % (2958882)Termination phase: Property scanning
% 14.29/4.95 % (2958882)Time elapsed: 0.054 s
% 14.29/4.95 % (2958882)Peak memory usage: 116 MB
% 14.29/4.95 % (2958882)Instructions burned: 140 (million)
% 14.29/4.95 % (2958881)Instruction limit reached!
% 14.29/4.95 % (2958881)------------------------------
% 14.29/4.95 % (2958881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.29/4.95 % (2958881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.29/4.95 % (2958881)CaDiCaL version: 2.1.3
% 14.29/4.95 % (2958881)Termination reason: Instruction limit
% 14.29/4.95 % (2958881)Termination phase: SInE selection
% 14.29/4.95 % (2958881)Time elapsed: 0.077 s
% 14.29/4.95 % (2958881)Peak memory usage: 115 MB
% 14.29/4.95 % (2958881)Instructions burned: 119 (million)
% 14.29/4.95 % (2958883)Instruction limit reached!
% 14.29/4.95 % (2958883)------------------------------
% 14.29/4.95 % (2958883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.29/4.95 % (2958883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.29/4.95 % (2958883)CaDiCaL version: 2.1.3
% 14.29/4.95 % (2958883)Termination reason: Instruction limit
% 14.29/4.95 % (2958883)Termination phase: SInE selection
% 14.29/4.95 % (2958883)Time elapsed: 0.080 s
% 14.29/4.95 % (2958883)Peak memory usage: 115 MB
% 14.29/4.95 % (2958883)Instructions burned: 130 (million)
% 14.29/4.95 % (2958891)lrs+10_1_sil=8000:sp=occurrence:random_seed=512500638:i=285:sd=3:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/285Mi)
% 14.29/4.95 % (2958892)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1274558636:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/157Mi)
% 14.29/4.95 % (2958893)lrs+1011_1_sil=32000:sp=occurrence:random_seed=297811020:i=325:sd=1:ss=axioms:sgt=32_2975 on theBenchmark for (2975ds/325Mi)
% 14.29/4.95 % (2958894)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=1296162397:s2a=on:i=248:s2at=1.23:gtg=position_2975 on theBenchmark for (2975ds/248Mi)
% 14.29/4.95 % (2958891)Instruction limit reached!
% 21.76/5.95 % (2958891)------------------------------
% 21.76/5.95 % (2958891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.76/5.95 % (2958891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.76/5.95 % (2958891)CaDiCaL version: 2.1.3
% 21.76/5.95 % (2958891)Termination reason: Instruction limit
% 21.76/5.95 % (2958891)Termination phase: Property scanning
% 21.76/5.95 % (2958891)Time elapsed: 0.117 s
% 21.76/5.95 % (2958891)Peak memory usage: 121 MB
% 21.76/5.95 % (2958891)Instructions burned: 287 (million)
% 21.76/5.95 % (2958892)Instruction limit reached!
% 21.76/5.95 % (2958892)------------------------------
% 21.76/5.95 % (2958892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.76/5.95 % (2958892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.76/5.95 % (2958892)CaDiCaL version: 2.1.3
% 21.76/5.95 % (2958892)Termination reason: Instruction limit
% 21.76/5.95 % (2958892)Termination phase: Property scanning
% 21.76/5.95 % (2958892)Time elapsed: 0.063 s
% 21.76/5.95 % (2958892)Peak memory usage: 116 MB
% 21.76/5.95 % (2958892)Instructions burned: 160 (million)
% 21.76/5.95 % (2958894)Instruction limit reached!
% 21.76/5.95 % (2958894)------------------------------
% 21.76/5.95 % (2958894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.76/5.95 % (2958894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.76/5.95 % (2958894)CaDiCaL version: 2.1.3
% 21.76/5.95 % (2958894)Termination reason: Instruction limit
% 21.76/5.95 % (2958894)Termination phase: Property scanning
% 21.76/5.95 % (2958894)Time elapsed: 0.094 s
% 21.76/5.95 % (2958894)Peak memory usage: 116 MB
% 21.76/5.95 % (2958894)Instructions burned: 249 (million)
% 21.76/5.95 % (2958893)Refutation not found, incomplete strategy
% 21.76/5.95 % (2958893)------------------------------
% 21.76/5.95 % (2958893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.76/5.95 % (2958893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.76/5.95 % (2958893)CaDiCaL version: 2.1.3
% 21.76/5.95 % (2958893)Termination reason: Refutation not found, incomplete strategy
% 21.76/5.95 % (2958893)Time elapsed: 0.115 s
% 21.76/5.95 % (2958893)Peak memory usage: 120 MB
% 21.76/5.95 % (2958893)Instructions burned: 152 (million)
% 21.76/5.95 % (2958899)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4049130784:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2973 on theBenchmark for (2973ds/294Mi)
% 21.76/5.95 % (2958900)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=908107473:i=2350_2973 on theBenchmark for (2973ds/2350Mi)
% 21.76/5.95 % (2958901)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3401454597:cts=off:i=113:fsr=off:ss=included:sgt=4_2972 on theBenchmark for (2972ds/113Mi)
% 21.76/5.95 % (2958899)Instruction limit reached!
% 21.76/5.95 % (2958899)------------------------------
% 21.76/5.95 % (2958899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.76/5.95 % (2958899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.76/5.95 % (2958899)CaDiCaL version: 2.1.3
% 21.76/5.95 % (2958899)Termination reason: Instruction limit
% 21.76/5.95 % (2958899)Termination phase: Preprocessing 3
% 21.76/5.95 % (2958899)Time elapsed: 0.111 s
% 21.76/5.95 % (2958899)Peak memory usage: 120 MB
% 21.76/5.95 % (2958899)Instructions burned: 296 (million)
% 21.76/5.95 % (2958901)Instruction limit reached!
% 21.76/5.95 % (2958901)------------------------------
% 21.76/5.95 % (2958901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.76/5.95 % (2958901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.76/5.95 % (2958901)CaDiCaL version: 2.1.3
% 21.76/5.95 % (2958901)Termination reason: Instruction limit
% 21.76/5.95 % (2958901)Termination phase: SInE selection
% 21.76/5.95 % (2958901)Time elapsed: 0.078 s
% 21.76/5.95 % (2958901)Peak memory usage: 115 MB
% 21.76/5.95 % (2958901)Instructions burned: 114 (million)
% 21.76/5.95 % (2958893)------------------------------
% 21.76/5.95 % (2958893)------------------------------
% 21.76/5.95 % (2958905)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2602442160:i=127:av=off:fsr=off:sup=off_2970 on theBenchmark for (2970ds/127Mi)
% 21.76/5.95 % (2958905)Instruction limit reached!
% 21.76/5.95 % (2958905)------------------------------
% 21.76/5.95 % (2958905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.76/5.95 % (2958905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/6.31 % (2958905)CaDiCaL version: 2.1.3
% 16.87/6.31 % (2958905)Termination reason: Instruction limit
% 16.87/6.31 % (2958905)Termination phase: Preprocessing 1
% 16.87/6.31 % (2958905)Time elapsed: 0.053 s
% 16.87/6.31 % (2958905)Peak memory usage: 116 MB
% 16.87/6.31 % (2958905)Instructions burned: 129 (million)
% 16.87/6.31 % (2958906)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=40940395:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2970 on theBenchmark for (2970ds/114Mi)
% 16.87/6.31 % (2958906)Instruction limit reached!
% 16.87/6.31 % (2958906)------------------------------
% 16.87/6.31 % (2958906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.87/6.31 % (2958906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/6.31 % (2958906)CaDiCaL version: 2.1.3
% 16.87/6.31 % (2958906)Termination reason: Instruction limit
% 16.87/6.31 % (2958906)Termination phase: Property scanning
% 16.87/6.31 % (2958906)Time elapsed: 0.047 s
% 16.87/6.31 % (2958906)Peak memory usage: 116 MB
% 16.87/6.31 % (2958906)Instructions burned: 116 (million)
% 16.87/6.31 % (2958908)lrs+10_1_sil=8000:sp=occurrence:random_seed=239805969:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2969 on theBenchmark for (2969ds/907Mi)
% 16.87/6.31 % (2958909)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3735291848:i=437:sd=1:aac=none:ss=included_2968 on theBenchmark for (2968ds/437Mi)
% 16.87/6.31 % (2958911)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1549648756:i=5202:ss=axioms:sgt=16_2968 on theBenchmark for (2968ds/5202Mi)
% 16.87/6.31 % (2958909)Instruction limit reached!
% 16.87/6.31 % (2958909)------------------------------
% 16.87/6.31 % (2958909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.87/6.31 % (2958909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/6.31 % (2958909)CaDiCaL version: 2.1.3
% 16.87/6.31 % (2958909)Termination reason: Instruction limit
% 16.87/6.31 % (2958909)Termination phase: Saturation
% 16.87/6.31 % (2958909)Time elapsed: 0.150 s
% 16.87/6.31 % (2958909)Peak memory usage: 125 MB
% 16.87/6.31 % (2958909)Instructions burned: 441 (million)
% 16.87/6.31 % (2958915)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2293592343:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2966 on theBenchmark for (2966ds/134Mi)
% 16.87/6.31 % (2958915)Instruction limit reached!
% 16.87/6.31 % (2958915)------------------------------
% 16.87/6.31 % (2958915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.87/6.31 % (2958915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/6.31 % (2958915)CaDiCaL version: 2.1.3
% 16.87/6.31 % (2958915)Termination reason: Instruction limit
% 16.87/6.31 % (2958915)Termination phase: SInE selection
% 16.87/6.31 % (2958915)Time elapsed: 0.057 s
% 16.87/6.31 % (2958915)Peak memory usage: 115 MB
% 16.87/6.31 % (2958915)Instructions burned: 134 (million)
% 16.87/6.31 % (2958908)Instruction limit reached!
% 16.87/6.31 % (2958908)------------------------------
% 16.87/6.31 % (2958908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.87/6.31 % (2958908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/6.31 % (2958908)CaDiCaL version: 2.1.3
% 16.87/6.31 % (2958908)Termination reason: Instruction limit
% 16.87/6.31 % (2958908)Termination phase: Saturation
% 16.87/6.31 % (2958908)Time elapsed: 0.493 s
% 16.87/6.31 % (2958908)Peak memory usage: 130 MB
% 16.87/6.31 % (2958908)Instructions burned: 907 (million)
% 16.87/6.31 % (2958917)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3751861450:st=8:i=592:sd=3:ep=RST:ss=axioms_2964 on theBenchmark for (2964ds/592Mi)
% 16.87/6.31 % (2958918)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3338191121:st=3:i=13193:sd=3:ss=axioms_2962 on theBenchmark for (2962ds/13193Mi)
% 16.87/6.31 % (2958917)Instruction limit reached!
% 16.87/6.31 % (2958917)------------------------------
% 16.87/6.31 % (2958917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.87/6.31 % (2958917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/6.31 % (2958917)CaDiCaL version: 2.1.3
% 16.87/6.31 % (2958917)Termination reason: Instruction limit
% 16.87/6.31 % (2958917)Termination phase: Preprocessing 3
% 16.87/6.31 % (2958917)Time elapsed: 0.224 s
% 16.87/6.31 % (2958917)Peak memory usage: 126 MB
% 16.87/6.31 % (2958917)Instructions burned: 594 (million)
% 16.87/6.31 % (2958921)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=1443980436:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2960 on theBenchmark for (2960ds/125Mi)
% 16.87/6.31 % (2958921)Instruction limit reached!
% 16.87/6.31 % (2958921)------------------------------
% 16.87/6.31 % (2958921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.87/6.31 % (2958921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/6.31 % (2958921)CaDiCaL version: 2.1.3
% 16.87/6.31 % (2958921)Termination reason: Instruction limit
% 16.87/6.31 % (2958921)Termination phase: Property scanning
% 16.87/6.31 % (2958921)Time elapsed: 0.027 s
% 16.87/6.31 % (2958921)Peak memory usage: 116 MB
% 16.87/6.31 % (2958921)Instructions burned: 128 (million)
% 16.87/6.31 % (2958900)Instruction limit reached!
% 16.87/6.31 % (2958900)------------------------------
% 16.87/6.31 % (2958900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.87/6.31 % (2958900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/6.31 % (2958900)CaDiCaL version: 2.1.3
% 16.87/6.31 % (2958900)Termination reason: Instruction limit
% 16.87/6.31 % (2958900)Termination phase: Property scanning
% 16.87/6.31 % (2958900)Time elapsed: 1.282 s
% 16.87/6.31 % (2958900)Peak memory usage: 182 MB
% 16.87/6.31 % (2958900)Instructions burned: 2351 (million)
% 16.87/6.31 % (2958923)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=753701471:i=134:gtgl=5:slsql=off:gtg=exists_sym_2958 on theBenchmark for (2958ds/134Mi)
% 16.87/6.31 % (2958923)Instruction limit reached!
% 16.87/6.31 % (2958923)------------------------------
% 16.87/6.31 % (2958923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.87/6.31 % (2958923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/6.31 % (2958923)CaDiCaL version: 2.1.3
% 16.87/6.31 % (2958923)Termination reason: Instruction limit
% 16.87/6.31 % (2958923)Termination phase: Property scanning
% 16.87/6.31 % (2958923)Time elapsed: 0.029 s
% 16.87/6.31 % (2958923)Peak memory usage: 116 MB
% 16.87/6.31 % (2958923)Instructions burned: 139 (million)
% 16.87/6.31 % (2958924)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1072458492:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2958 on theBenchmark for (2958ds/141Mi)
% 16.87/6.31 % (2958924)Instruction limit reached!
% 16.87/6.31 % (2958924)------------------------------
% 16.87/6.31 % (2958924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.87/6.31 % (2958924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/6.31 % (2958924)CaDiCaL version: 2.1.3
% 16.87/6.31 % (2958924)Termination reason: Instruction limit
% 16.87/6.31 % (2958924)Termination phase: Saturation
% 16.87/6.31 % (2958924)Time elapsed: 0.104 s
% 16.87/6.31 % (2958924)Peak memory usage: 118 MB
% 16.87/6.31 % (2958924)Instructions burned: 143 (million)
% 16.87/6.31 % (2958926)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1766505814:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2957 on theBenchmark for (2957ds/431Mi)
% 16.87/6.31 % (2958926)Refutation not found, incomplete strategy
% 16.87/6.31 % (2958926)------------------------------
% 16.87/6.31 % (2958926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.87/6.31 % (2958926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/6.31 % (2958926)CaDiCaL version: 2.1.3
% 16.87/6.31 % (2958926)Termination reason: Refutation not found, incomplete strategy
% 16.87/6.31 % (2958926)Time elapsed: 0.107 s
% 16.87/6.31 % (2958926)Peak memory usage: 119 MB
% 16.87/6.31 % (2958926)Instructions burned: 145 (million)
% 16.87/6.31 % (2958928)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=29842492:i=6060:aac=none:ins=25_2955 on theBenchmark for (2955ds/6060Mi)
% 16.87/6.31 % (2958926)------------------------------
% 16.87/6.31 % (2958926)------------------------------
% 16.87/6.31 % (2958931)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=997811120:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2951 on theBenchmark for (2951ds/150Mi)
% 16.87/6.31 % (2958931)Instruction limit reached!
% 16.87/6.31 % (2958931)------------------------------
% 16.87/6.31 % (2958931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.57/6.55 % (2958931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.57/6.55 % (2958931)CaDiCaL version: 2.1.3
% 25.57/6.55 % (2958931)Termination reason: Instruction limit
% 25.57/6.55 % (2958931)Termination phase: Preprocessing 1
% 25.57/6.55 % (2958931)Time elapsed: 0.106 s
% 25.57/6.55 % (2958931)Peak memory usage: 116 MB
% 25.57/6.55 % (2958931)Instructions burned: 150 (million)
% 25.57/6.55 % (2958911)First to succeed.
% 25.57/6.55 % (2958911)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2958872"
% 25.57/6.55 % (2958933)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2480208453:i=14155:bd=all_2948 on theBenchmark for (2948ds/14155Mi)
% 25.57/6.55 % (2958911)Refutation found. Thanks to Tanya!
% 25.57/6.55 % SZS status Theorem for theBenchmark
% 25.57/6.55 % SZS output start Proof for theBenchmark
% See solution above
% 25.57/6.55 % (2958911)------------------------------
% 25.57/6.55 % (2958911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.57/6.55 % (2958911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.57/6.55 % (2958911)CaDiCaL version: 2.1.3
% 25.57/6.55 % (2958911)Termination reason: Refutation
% 25.57/6.55 % (2958911)Time elapsed: 1.867 s
% 25.57/6.55 % (2958911)Peak memory usage: 223 MB
% 25.57/6.55 % (2958911)Instructions burned: 4310 (million)
% 25.57/6.55 % (2958911)------------------------------
% 25.57/6.55 % (2958911)------------------------------
% 25.57/6.55 % (2958872)Success in time 5.455 s
% 25.57/6.55 % Vampire exiting
%------------------------------------------------------------------------------