%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL048+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 12:34:08 PM UTC 2026
% Result : Theorem 8.24s 2.91s
% Output : Refutation 14.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 13
% Syntax : Number of formulae : 96 ( 81 unt; 2 def)
% Number of atoms : 115 ( 97 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 17 ~; 11 |; 4 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 111 ( 0 sgn 108 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0,X1,X2] :
( join(join(X0,X1),X2) = X2
=> ( join(X0,X2) = X2
& join(X1,X2) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( join(join(X0,X1),X2) = X2
=> ( join(X0,X2) = X2
& join(X1,X2) = X2 ) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] :
( ( join(X0,X2) != X2
| join(X1,X2) != X2 )
& join(join(X0,X1),X2) = X2 ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( ( sK2 != join(sK0,sK2)
| sK2 != join(sK1,sK2) )
& sK2 = join(join(sK0,sK1),sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f16]) ).
fof(f18,plain,
sK2 = join(join(sK0,sK1),sK2),
inference(cnf_transformation,[],[f17]) ).
fof(f19,plain,
( sK2 != join(sK0,sK2)
| sK2 != join(sK1,sK2) ),
inference(cnf_transformation,[],[f17]) ).
fof(f20,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f21,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f24,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f25,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f26,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f28,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f29,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f30,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f32,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f33,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f28,f24]) ).
fof(f34,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f25,f27]) ).
fof(f35,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f21,f27]) ).
fof(f36,plain,
sK2 = join(sK2,join(sK0,sK1)),
inference(forward_demodulation,[],[f18,f27]) ).
fof(f37,plain,
( sK2 != join(sK2,sK0)
| sK2 != join(sK1,sK2) ),
inference(forward_demodulation,[],[f19,f27]) ).
fof(f38,plain,
( sK2 != join(sK2,sK1)
| sK2 != join(sK2,sK0) ),
inference(forward_demodulation,[],[f37,f27]) ).
fof(f40,definition,
( spl3_1
<=> sK2 = join(sK2,sK0) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f41,plain,
( sK2 != join(sK2,sK0)
| spl3_1 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f43,definition,
( spl3_2
<=> sK2 = join(sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f44,plain,
( sK2 != join(sK2,sK1)
| spl3_2 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f45,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f38,f43,f40]) ).
fof(f46,plain,
! [X0] : join(sK2,join(join(sK0,sK1),X0)) = join(sK2,X0),
inference(superposition,[],[f26,f36]) ).
fof(f55,plain,
! [X0] : join(sK2,X0) = join(sK2,join(sK0,join(sK1,X0))),
inference(forward_demodulation,[],[f46,f26]) ).
fof(f129,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f29,f32]) ).
fof(f133,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f26,f20]) ).
fof(f143,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)),
inference(superposition,[],[f34,f34]) ).
fof(f149,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f26,f34]) ).
fof(f152,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f143,f27]) ).
fof(f153,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(join(complement(X0),complement(X1)),complement(join(complement(X0),X1))))),
inference(forward_demodulation,[],[f152,f27]) ).
fof(f154,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))))),
inference(forward_demodulation,[],[f153,f26]) ).
fof(f156,plain,
zero = complement(top),
inference(superposition,[],[f33,f20]) ).
fof(f157,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),zero) = X0,
inference(superposition,[],[f34,f33]) ).
fof(f161,plain,
! [X0] : top = join(join(complement(X0),complement(complement(X0))),zero),
inference(superposition,[],[f20,f33]) ).
fof(f162,plain,
! [X0] : top = join(zero,join(complement(X0),complement(complement(X0)))),
inference(forward_demodulation,[],[f161,f27]) ).
fof(f165,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f157,f27]) ).
fof(f167,plain,
top = join(zero,top),
inference(forward_demodulation,[],[f162,f20]) ).
fof(f169,plain,
top = join(top,zero),
inference(forward_demodulation,[],[f167,f27]) ).
fof(f341,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(superposition,[],[f35,f32]) ).
fof(f363,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f129,f30]) ).
fof(f374,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f363,f32]) ).
fof(f385,plain,
one = converse(one),
inference(superposition,[],[f30,f374]) ).
fof(f393,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f374,f385]) ).
fof(f416,plain,
! [X0,X1] : join(top,complement(join(complement(X0),complement(X1)))) = join(join(complement(X0),X1),X0),
inference(superposition,[],[f133,f34]) ).
fof(f421,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f133,f27]) ).
fof(f450,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[],[f416,f27]) ).
fof(f456,plain,
! [X0,X1] : join(top,X1) = join(top,complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[],[f450,f133]) ).
fof(f673,plain,
! [X0] : join(top,zero) = join(top,complement(X0)),
inference(superposition,[],[f456,f33]) ).
fof(f681,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f673,f169]) ).
fof(f914,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(one),X0))),
inference(superposition,[],[f341,f393]) ).
fof(f918,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(complement(X0),join(complement(composition(X1,complement(composition(converse(X1),X0)))),complement(complement(X0)))))),
inference(superposition,[],[f154,f341]) ).
fof(f927,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(top,complement(composition(X1,complement(composition(converse(X1),X0))))))),
inference(forward_demodulation,[],[f918,f421]) ).
fof(f931,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f914,f374]) ).
fof(f934,plain,
! [X0] : complement(X0) = join(complement(X0),complement(top)),
inference(forward_demodulation,[],[f927,f681]) ).
fof(f936,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(forward_demodulation,[],[f934,f156]) ).
fof(f937,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f936,f27]) ).
fof(f942,plain,
! [X0] : complement(join(complement(X0),complement(X0))) = X0,
inference(superposition,[],[f165,f937]) ).
fof(f951,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f942,f931]) ).
fof(f958,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f34,f951]) ).
fof(f971,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,X0))),
inference(superposition,[],[f165,f951]) ).
fof(f981,plain,
! [X0] : complement(X0) = complement(join(X0,X0)),
inference(forward_demodulation,[],[f971,f937]) ).
fof(f1033,plain,
! [X0] : complement(complement(X0)) = join(X0,X0),
inference(superposition,[],[f951,f981]) ).
fof(f1034,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f1033,f951]) ).
fof(f1143,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(X0,complement(join(complement(X0),complement(X1)))),
inference(superposition,[],[f149,f1034]) ).
fof(f1147,plain,
join(sK2,join(sK0,sK1)) = join(sK2,sK1),
inference(superposition,[],[f55,f1034]) ).
fof(f1148,plain,
sK2 = join(sK2,sK1),
inference(forward_demodulation,[],[f1147,f36]) ).
fof(f1150,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f1143,f34]) ).
fof(f1634,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),complement(complement(X0))),
inference(superposition,[],[f1150,f958]) ).
fof(f1701,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,complement(complement(X0)))),
inference(forward_demodulation,[],[f1634,f26]) ).
fof(f1724,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f1701,f951]) ).
fof(f1817,plain,
join(sK2,join(sK0,sK1)) = join(sK2,sK0),
inference(superposition,[],[f55,f1724]) ).
fof(f1820,plain,
sK2 = join(sK2,sK0),
inference(forward_demodulation,[],[f1817,f36]) ).
fof(f1858,plain,
( $false
| spl3_1 ),
inference(forward_subsumption_resolution,[],[f1820,f41]) ).
fof(f1859,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f1858]) ).
fof(f1928,plain,
( $false
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f44,f1148]) ).
fof(f1929,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f1928]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f45]) ).
cnf(s2,plain,
spl3_1,
inference(sat_conversion,[],[f1859]) ).
cnf(s3,plain,
spl3_2,
inference(sat_conversion,[],[f1929]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f1930,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL048+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.43 % Computer : n006.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Sun Sep 27 22:56:55 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.48 Running first-order theorem proving
% 0.23/0.48 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
% 8.24/2.91 % (3424999)Detected formulas, will run a generic FOF schedule.
% 8.24/2.91 % (3425006)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=744200764:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.24/2.91 % (3425007)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=153930668:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.24/2.91 % (3425004)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=4104645821:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.24/2.91 % (3425008)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1312359081:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.24/2.91 % (3425005)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=1795026870:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.24/2.91 % (3425009)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2888129592:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.24/2.91 % (3425010)dis-21_1_sil=8000:lcm=predicate:random_seed=2485454114: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)
% 8.24/2.91 % (3425010)Refutation not found, incomplete strategy
% 8.24/2.91 % (3425010)------------------------------
% 8.24/2.91 % (3425010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.24/2.91 % (3425010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/2.91 % (3425010)CaDiCaL version: 2.1.3
% 8.24/2.91 % (3425010)Termination reason: Refutation not found, incomplete strategy
% 8.24/2.91 % (3425010)Time elapsed: 0.003 s
% 8.24/2.91 % (3425010)Peak memory usage: 88 MB
% 8.24/2.91 % (3425010)Instructions burned: 1 (million)
% 8.24/2.91 % (3425008)Instruction limit reached!
% 8.24/2.91 % (3425008)------------------------------
% 8.24/2.91 % (3425008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.24/2.91 % (3425008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/2.91 % (3425008)CaDiCaL version: 2.1.3
% 8.24/2.91 % (3425008)Termination reason: Instruction limit
% 8.24/2.91 % (3425008)Termination phase: Saturation
% 8.24/2.91 % (3425008)Time elapsed: 0.106 s
% 8.24/2.91 % (3425008)Peak memory usage: 88 MB
% 8.24/2.91 % (3425008)Instructions burned: 119 (million)
% 8.24/2.91 % (3425007)Instruction limit reached!
% 8.24/2.91 % (3425007)------------------------------
% 8.24/2.91 % (3425007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.24/2.91 % (3425007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/2.91 % (3425007)CaDiCaL version: 2.1.3
% 8.24/2.91 % (3425007)Termination reason: Instruction limit
% 8.24/2.91 % (3425007)Termination phase: Saturation
% 8.24/2.91 % (3425007)Time elapsed: 0.107 s
% 8.24/2.91 % (3425007)Peak memory usage: 89 MB
% 8.24/2.91 % (3425007)Instructions burned: 109 (million)
% 8.24/2.91 % (3425009)Instruction limit reached!
% 8.24/2.91 % (3425009)------------------------------
% 8.24/2.91 % (3425009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.24/2.91 % (3425009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/2.91 % (3425009)CaDiCaL version: 2.1.3
% 8.24/2.91 % (3425009)Termination reason: Instruction limit
% 8.24/2.91 % (3425009)Termination phase: Saturation
% 8.24/2.91 % (3425009)Time elapsed: 0.136 s
% 8.24/2.91 % (3425009)Peak memory usage: 90 MB
% 8.24/2.91 % (3425009)Instructions burned: 139 (million)
% 8.24/2.91 % (3425019)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3061626380:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 8.24/2.91 % (3425019)Instruction limit reached!
% 8.24/2.91 % (3425019)------------------------------
% 8.24/2.91 % (3425019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.24/2.91 % (3425019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/2.91 % (3425019)CaDiCaL version: 2.1.3
% 8.24/2.91 % (3425019)Termination reason: Instruction limit
% 8.24/2.91 % (3425019)Termination phase: Saturation
% 8.24/2.91 % (3425019)Time elapsed: 0.126 s
% 8.24/2.91 % (3425019)Peak memory usage: 89 MB
% 8.24/2.91 % (3425019)Instructions burned: 158 (million)
% 8.24/2.91 % (3425018)lrs+10_1_sil=8000:sp=occurrence:random_seed=3104031151:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 8.24/2.91 % (3425010)------------------------------
% 8.24/2.91 % (3425010)------------------------------
% 8.24/2.91 % (3425020)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3396141938:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 8.24/2.91 % (3425023)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=3966154394:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 8.24/2.91 % (3425018)Instruction limit reached!
% 8.24/2.91 % (3425018)------------------------------
% 8.24/2.91 % (3425018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.24/2.91 % (3425018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/2.91 % (3425018)CaDiCaL version: 2.1.3
% 8.24/2.91 % (3425018)Termination reason: Instruction limit
% 8.24/2.91 % (3425018)Termination phase: Saturation
% 8.24/2.91 % (3425018)Time elapsed: 0.250 s
% 8.24/2.91 % (3425018)Peak memory usage: 89 MB
% 8.24/2.91 % (3425018)Instructions burned: 285 (million)
% 8.24/2.91 % (3425024)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2112784020:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 8.24/2.91 % (3425020)Instruction limit reached!
% 8.24/2.91 % (3425020)------------------------------
% 8.24/2.91 % (3425020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.24/2.91 % (3425020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/2.91 % (3425020)CaDiCaL version: 2.1.3
% 8.24/2.91 % (3425020)Termination reason: Instruction limit
% 8.24/2.91 % (3425020)Termination phase: Saturation
% 8.24/2.91 % (3425020)Time elapsed: 0.323 s
% 8.24/2.91 % (3425020)Peak memory usage: 92 MB
% 8.24/2.91 % (3425020)Instructions burned: 325 (million)
% 8.24/2.91 % (3425023)Instruction limit reached!
% 8.24/2.91 % (3425023)------------------------------
% 8.24/2.91 % (3425023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.24/2.91 % (3425023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/2.91 % (3425023)CaDiCaL version: 2.1.3
% 8.24/2.91 % (3425023)Termination reason: Instruction limit
% 8.24/2.91 % (3425023)Termination phase: Saturation
% 8.24/2.91 % (3425023)Time elapsed: 0.228 s
% 8.24/2.91 % (3425023)Peak memory usage: 90 MB
% 8.24/2.91 % (3425023)Instructions burned: 249 (million)
% 8.24/2.91 % (3425027)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3600964224:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 8.24/2.91 % (3425024)Instruction limit reached!
% 8.24/2.91 % (3425024)------------------------------
% 8.24/2.91 % (3425024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.24/2.91 % (3425024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/2.91 % (3425024)CaDiCaL version: 2.1.3
% 8.24/2.91 % (3425024)Termination reason: Instruction limit
% 8.24/2.91 % (3425024)Termination phase: Saturation
% 8.24/2.91 % (3425024)Time elapsed: 0.290 s
% 8.24/2.91 % (3425024)Peak memory usage: 90 MB
% 8.24/2.91 % (3425024)Instructions burned: 294 (million)
% 8.24/2.91 % (3425029)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=11347609:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 8.24/2.91 % (3425030)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2297156668:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 8.24/2.91 % (3425030)Refutation not found, incomplete strategy
% 8.24/2.91 % (3425030)------------------------------
% 8.24/2.91 % (3425030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.24/2.91 % (3425030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/2.91 % (3425030)CaDiCaL version: 2.1.3
% 8.24/2.91 % (3425030)Termination reason: Refutation not found, incomplete strategy
% 8.24/2.91 % (3425030)Time elapsed: 0.002 s
% 8.24/2.91 % (3425030)Peak memory usage: 88 MB
% 8.24/2.91 % (3425005)First to succeed.
% 8.24/2.91 % (3425005)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3424999"
% 8.24/2.91 % (3425029)Instruction limit reached!
% 8.24/2.91 % (3425029)------------------------------
% 8.24/2.91 % (3425029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.24/2.91 % (3425029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/2.91 % (3425029)CaDiCaL version: 2.1.3
% 8.24/2.91 % (3425029)Termination reason: Instruction limit
% 8.24/2.91 % (3425029)Termination phase: Saturation
% 8.24/2.91 % (3425029)Time elapsed: 0.116 s
% 8.24/2.91 % (3425029)Peak memory usage: 90 MB
% 8.24/2.91 % (3425029)Instructions burned: 114 (million)
% 8.24/2.91 % (3425004)Also succeeded, but the first one will report.
% 8.24/2.91 % (3425032)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2797653001:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 8.24/2.91 % (3425032)Also succeeded, but the first one will report.
% 8.24/2.91 % (3425035)lrs+10_1_sil=8000:sp=occurrence:random_seed=687554065:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 8.24/2.91 % (3425030)------------------------------
% 8.24/2.91 % (3425030)------------------------------
% 8.24/2.91 % (3425005)Refutation found. Thanks to Tanya!
% 8.24/2.91 % SZS status Theorem for theBenchmark
% 8.24/2.91 % SZS output start Proof for theBenchmark
% See solution above
% 14.08/3.12 % (3425005)------------------------------
% 14.08/3.12 % (3425005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.08/3.12 % (3425005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.08/3.12 % (3425005)CaDiCaL version: 2.1.3
% 14.08/3.12 % (3425005)Termination reason: Refutation
% 14.08/3.12 % (3425005)Time elapsed: 1.200 s
% 14.08/3.12 % (3425005)Peak memory usage: 131 MB
% 14.08/3.12 % (3425005)Instructions burned: 1144 (million)
% 14.08/3.12 % (3425005)------------------------------
% 14.08/3.12 % (3425005)------------------------------
% 14.08/3.12 % (3424999)Success in time 1.903 s
% 14.08/3.12 % Vampire exiting
%------------------------------------------------------------------------------