%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE041+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 11:40:10 AM UTC 2026
% Result : Theorem 16.76s 3.76s
% Output : Refutation 18.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 16
% Syntax : Number of formulae : 114 ( 72 unt; 3 def)
% Number of atoms : 159 ( 77 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 87 ( 42 ~; 36 |; 3 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 106 ( 0 sgn 104 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
fof(f13,axiom,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold_right) ).
fof(f14,axiom,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold_left) ).
fof(f15,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X1),X2),X1)
=> leq(multiplication(star(X0),X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_induction_left) ).
fof(f16,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X1),X2),X0)
=> leq(multiplication(X2,star(X1)),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_induction_right) ).
fof(f17,conjecture,
! [X0,X1] :
( leq(X0,X1)
=> leq(star(X0),star(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( leq(X0,X1)
=> leq(star(X0),star(X1)) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1,X2] :
( leq(multiplication(star(X0),X2),X1)
| ~ leq(addition(multiplication(X0,X1),X2),X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f20,plain,
! [X0,X1,X2] :
( leq(multiplication(X2,star(X1)),X0)
| ~ leq(addition(multiplication(X0,X1),X2),X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f21,plain,
? [X0,X1] :
( ~ leq(star(X0),star(X1))
& leq(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f23,plain,
( ~ leq(star(sK0),star(sK1))
& leq(sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f21]) ).
fof(f24,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f25,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f29,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f30,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f31,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f32,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f35,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f36,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f37,plain,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f38,plain,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X1),X2),X1)
| leq(multiplication(star(X0),X2),X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X1),X2),X0)
| leq(multiplication(X2,star(X1)),X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f41,plain,
leq(sK0,sK1),
inference(cnf_transformation,[],[f23]) ).
fof(f42,plain,
~ leq(star(sK0),star(sK1)),
inference(cnf_transformation,[],[f23]) ).
fof(f43,definition,
sF2 = star(sK0),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f44,plain,
star(sK0) = sF2,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF3 = star(sK1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f46,plain,
star(sK1) = sF3,
inference(reorient_equations,[],[f45]) ).
fof(f47,plain,
~ leq(sF2,sF3),
inference(definition_folding,[],[f42,f46,f44]) ).
fof(f48,plain,
sK1 = addition(sK0,sK1),
inference(resolution,[],[f41,f35]) ).
fof(f53,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(resolution,[],[f37,f35]) ).
fof(f57,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(X0,star(X0)),star(X0))),
inference(forward_demodulation,[],[f53,f25]) ).
fof(f60,plain,
sF3 = addition(one,addition(multiplication(sK1,sF3),sF3)),
inference(superposition,[],[f57,f46]) ).
fof(f69,plain,
! [X0] : addition(sK1,X0) = addition(sK0,addition(sK1,X0)),
inference(superposition,[],[f25,f48]) ).
fof(f95,plain,
! [X2,X0,X1] :
( multiplication(X0,addition(X1,X2)) != multiplication(X0,X2)
| leq(multiplication(X0,X1),multiplication(X0,X2)) ),
inference(superposition,[],[f36,f31]) ).
fof(f108,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f32,f30]) ).
fof(f110,plain,
! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0),
inference(superposition,[],[f32,f30]) ).
fof(f141,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f25,f27]) ).
fof(f142,plain,
! [X0] :
( X0 != X0
| leq(X0,X0) ),
inference(superposition,[],[f36,f27]) ).
fof(f146,plain,
! [X0] : leq(X0,X0),
inference(trivial_inequality_removal,[],[f142]) ).
fof(f150,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,addition(X0,X1)),
inference(superposition,[],[f141,f24]) ).
fof(f156,plain,
! [X0] : star(X0) = addition(one,star(X0)),
inference(superposition,[],[f141,f57]) ).
fof(f181,plain,
sF2 = addition(one,sF2),
inference(superposition,[],[f156,f44]) ).
fof(f182,plain,
sF3 = addition(one,sF3),
inference(superposition,[],[f156,f46]) ).
fof(f185,plain,
! [X0,X1] : addition(star(X0),X1) = addition(one,addition(star(X0),X1)),
inference(superposition,[],[f25,f156]) ).
fof(f190,plain,
! [X0] : addition(sF3,X0) = addition(one,addition(sF3,X0)),
inference(superposition,[],[f25,f182]) ).
fof(f198,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(resolution,[],[f38,f35]) ).
fof(f203,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(star(X0),X0),star(X0))),
inference(forward_demodulation,[],[f198,f25]) ).
fof(f207,plain,
! [X0] : star(X0) = addition(one,addition(star(X0),multiplication(star(X0),X0))),
inference(superposition,[],[f203,f24]) ).
fof(f213,plain,
! [X0] : star(X0) = addition(star(X0),multiplication(star(X0),X0)),
inference(forward_demodulation,[],[f207,f185]) ).
fof(f250,plain,
sF3 = addition(one,addition(sF3,multiplication(sK1,sF3))),
inference(superposition,[],[f60,f24]) ).
fof(f257,plain,
sF3 = addition(sF3,multiplication(sK1,sF3)),
inference(forward_demodulation,[],[f250,f190]) ).
fof(f260,plain,
sF3 = multiplication(addition(one,sK1),sF3),
inference(forward_demodulation,[],[f257,f108]) ).
fof(f263,definition,
( spl4_1
<=> sF3 = multiplication(addition(sK1,one),sF3) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f264,plain,
( sF3 = multiplication(addition(sK1,one),sF3)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f265,plain,
( sF3 != multiplication(addition(sK1,one),sF3)
| spl4_1 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f277,plain,
addition(sF3,sF3) = multiplication(addition(addition(one,sK1),one),sF3),
inference(superposition,[],[f110,f260]) ).
fof(f278,plain,
addition(sF3,sF3) = multiplication(addition(one,addition(sK1,one)),sF3),
inference(forward_demodulation,[],[f277,f25]) ).
fof(f282,plain,
multiplication(addition(sK1,one),sF3) = addition(sF3,sF3),
inference(forward_demodulation,[],[f278,f150]) ).
fof(f285,plain,
sF3 = multiplication(addition(sK1,one),sF3),
inference(forward_demodulation,[],[f282,f27]) ).
fof(f286,plain,
( $false
| spl4_1 ),
inference(forward_subsumption_resolution,[],[f285,f265]) ).
fof(f287,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f286]) ).
fof(f331,plain,
sF3 = addition(sF3,multiplication(sF3,sK1)),
inference(superposition,[],[f213,f46]) ).
fof(f345,plain,
! [X2,X0,X1] :
( ~ leq(addition(X0,multiplication(X1,X2)),X2)
| leq(multiplication(star(X1),X0),X2) ),
inference(superposition,[],[f39,f24]) ).
fof(f350,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f31,f29]) ).
fof(f351,plain,
! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0),
inference(superposition,[],[f31,f29]) ).
fof(f453,plain,
! [X0] : multiplication(addition(X0,one),X0) = multiplication(X0,addition(X0,one)),
inference(superposition,[],[f110,f351]) ).
fof(f490,plain,
( multiplication(addition(sK1,one),addition(one,sF3)) = addition(addition(sK1,one),sF3)
| ~ spl4_1 ),
inference(superposition,[],[f350,f264]) ).
fof(f492,plain,
( multiplication(addition(sK1,one),addition(one,sF3)) = addition(sK1,addition(one,sF3))
| ~ spl4_1 ),
inference(forward_demodulation,[],[f490,f25]) ).
fof(f497,plain,
( multiplication(addition(sK1,one),sF3) = addition(sK1,sF3)
| ~ spl4_1 ),
inference(forward_demodulation,[],[f492,f182]) ).
fof(f501,plain,
( sF3 = addition(sK1,sF3)
| ~ spl4_1 ),
inference(forward_demodulation,[],[f497,f264]) ).
fof(f504,plain,
( sF3 = addition(sK0,sF3)
| ~ spl4_1 ),
inference(superposition,[],[f69,f501]) ).
fof(f593,plain,
! [X2,X0,X1] :
( ~ leq(addition(X0,multiplication(X1,X2)),X1)
| leq(multiplication(X0,star(X2)),X1) ),
inference(superposition,[],[f40,f24]) ).
fof(f1061,plain,
! [X0,X1] :
( ~ leq(multiplication(addition(one,X0),X1),X1)
| leq(multiplication(star(X0),X1),X1) ),
inference(superposition,[],[f345,f108]) ).
fof(f1210,plain,
! [X0] :
( multiplication(X0,sF3) != multiplication(X0,sF3)
| leq(multiplication(X0,one),multiplication(X0,sF3)) ),
inference(superposition,[],[f95,f182]) ).
fof(f1225,plain,
! [X0] : leq(multiplication(X0,one),multiplication(X0,sF3)),
inference(trivial_inequality_removal,[],[f1210]) ).
fof(f1234,plain,
! [X0] : leq(X0,multiplication(X0,sF3)),
inference(forward_demodulation,[],[f1225,f29]) ).
fof(f1315,plain,
( ~ leq(sF3,sF3)
| leq(multiplication(sF3,star(sK1)),sF3) ),
inference(superposition,[],[f593,f331]) ).
fof(f1334,plain,
leq(multiplication(sF3,star(sK1)),sF3),
inference(forward_subsumption_resolution,[],[f1315,f146]) ).
fof(f1345,plain,
leq(multiplication(sF3,sF3),sF3),
inference(forward_demodulation,[],[f1334,f46]) ).
fof(f1349,plain,
sF3 = addition(multiplication(sF3,sF3),sF3),
inference(resolution,[],[f1345,f35]) ).
fof(f1350,plain,
sF3 = multiplication(addition(sF3,one),sF3),
inference(forward_demodulation,[],[f1349,f110]) ).
fof(f1351,plain,
sF3 = multiplication(sF3,addition(sF3,one)),
inference(forward_demodulation,[],[f1350,f453]) ).
fof(f2480,plain,
sF3 = multiplication(sF3,addition(one,sF3)),
inference(superposition,[],[f1351,f24]) ).
fof(f2511,plain,
sF3 = multiplication(sF3,sF3),
inference(forward_demodulation,[],[f2480,f182]) ).
fof(f2530,plain,
! [X0] : addition(multiplication(X0,sF3),sF3) = multiplication(addition(X0,sF3),sF3),
inference(superposition,[],[f32,f2511]) ).
fof(f2550,plain,
! [X0] : multiplication(addition(X0,one),sF3) = multiplication(addition(X0,sF3),sF3),
inference(forward_demodulation,[],[f2530,f110]) ).
fof(f3720,plain,
( multiplication(sF3,sF3) = multiplication(addition(sK0,one),sF3)
| ~ spl4_1 ),
inference(superposition,[],[f2550,f504]) ).
fof(f3757,plain,
( sF3 = multiplication(addition(sK0,one),sF3)
| ~ spl4_1 ),
inference(forward_demodulation,[],[f3720,f2511]) ).
fof(f4351,plain,
( sF3 = multiplication(addition(one,sK0),sF3)
| ~ spl4_1 ),
inference(superposition,[],[f3757,f24]) ).
fof(f4800,plain,
( ~ leq(sF3,sF3)
| leq(multiplication(star(sK0),sF3),sF3)
| ~ spl4_1 ),
inference(superposition,[],[f1061,f4351]) ).
fof(f4807,plain,
( leq(multiplication(star(sK0),sF3),sF3)
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f4800,f146]) ).
fof(f4832,plain,
( leq(multiplication(sF2,sF3),sF3)
| ~ spl4_1 ),
inference(forward_demodulation,[],[f4807,f44]) ).
fof(f4851,plain,
( sF3 = addition(multiplication(sF2,sF3),sF3)
| ~ spl4_1 ),
inference(resolution,[],[f4832,f35]) ).
fof(f4852,plain,
( sF3 = multiplication(addition(sF2,one),sF3)
| ~ spl4_1 ),
inference(forward_demodulation,[],[f4851,f110]) ).
fof(f4854,plain,
( sF3 = multiplication(addition(one,sF2),sF3)
| ~ spl4_1 ),
inference(superposition,[],[f4852,f24]) ).
fof(f4893,plain,
( sF3 = multiplication(sF2,sF3)
| ~ spl4_1 ),
inference(forward_demodulation,[],[f4854,f181]) ).
fof(f4914,plain,
( leq(sF2,sF3)
| ~ spl4_1 ),
inference(superposition,[],[f1234,f4893]) ).
fof(f4944,plain,
( $false
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f4914,f47]) ).
fof(f4945,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f4944]) ).
cnf(s2,plain,
spl4_1,
inference(sat_conversion,[],[f287]) ).
cnf(s42,plain,
~ spl4_1,
inference(sat_conversion,[],[f4945]) ).
cnf(s46,plain,
$false,
inference(rat,[],[s2,s42]) ).
fof(f4952,plain,
$false,
inference(avatar_sat_refutation,[],[s46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KLE041+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.47 % Computer : n015.cluster.edu
% 0.23/0.47 % Model : x86_64 x86_64
% 0.23/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.47 % Memory : 8046.5625MB
% 0.23/0.47 % OS : Linux 6.8.0-71-generic
% 0.23/0.47 % CPULimit : 300
% 0.23/0.47 % WCLimit : 300
% 0.23/0.47 % DateTime : Sun Sep 27 13:08:31 UTC 2026
% 0.23/0.47 % CPUTime :
% 0.23/0.47 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.53 Running first-order theorem proving
% 0.26/0.53 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
% 16.48/3.69 % (1652430)Detected formulas, will run a generic FOF schedule.
% 16.48/3.69 % (1652439)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3014152796:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 16.48/3.69 % (1652439)Instruction limit reached!
% 16.48/3.69 % (1652439)------------------------------
% 16.48/3.69 % (1652439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.48/3.69 % (1652439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.48/3.69 % (1652439)CaDiCaL version: 2.1.3
% 16.48/3.69 % (1652439)Termination reason: Instruction limit
% 16.48/3.69 % (1652439)Termination phase: Saturation
% 16.48/3.69 % (1652439)Time elapsed: 0.059 s
% 16.48/3.69 % (1652439)Peak memory usage: 88 MB
% 16.48/3.69 % (1652439)Instructions burned: 119 (million)
% 16.48/3.69 % (1652436)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=666693764:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 16.48/3.69 % (1652437)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=3357012208:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 16.48/3.69 % (1652435)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=1714390730:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 16.48/3.69 % (1652440)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2173713029:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 16.48/3.69 % (1652438)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2374533418:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 16.48/3.69 % (1652441)dis-21_1_sil=8000:lcm=predicate:random_seed=1183228021: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)
% 16.48/3.69 % (1652438)Refutation not found, incomplete strategy
% 16.48/3.69 % (1652438)------------------------------
% 16.48/3.69 % (1652438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.48/3.69 % (1652438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.48/3.69 % (1652438)CaDiCaL version: 2.1.3
% 16.48/3.69 % (1652438)Termination reason: Refutation not found, incomplete strategy
% 16.48/3.69 % (1652438)Time elapsed: 0.002 s
% 16.48/3.69 % (1652438)Peak memory usage: 88 MB
% 16.48/3.69 % (1652441)Refutation not found, incomplete strategy
% 16.48/3.69 % (1652441)------------------------------
% 16.48/3.69 % (1652441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.48/3.69 % (1652441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.48/3.69 % (1652441)CaDiCaL version: 2.1.3
% 16.48/3.69 % (1652441)Termination reason: Refutation not found, incomplete strategy
% 16.48/3.69 % (1652441)Time elapsed: 0.002 s
% 16.48/3.69 % (1652441)Peak memory usage: 88 MB
% 16.48/3.69 % (1652441)Instructions burned: 1 (million)
% 16.48/3.69 % (1652440)Instruction limit reached!
% 16.48/3.69 % (1652440)------------------------------
% 16.48/3.69 % (1652440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.48/3.69 % (1652440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.48/3.69 % (1652440)CaDiCaL version: 2.1.3
% 16.48/3.69 % (1652440)Termination reason: Instruction limit
% 16.48/3.69 % (1652440)Termination phase: Saturation
% 16.48/3.69 % (1652440)Time elapsed: 0.142 s
% 16.48/3.69 % (1652440)Peak memory usage: 90 MB
% 16.48/3.69 % (1652440)Instructions burned: 139 (million)
% 16.48/3.69 % (1652446)lrs+10_1_sil=8000:sp=occurrence:random_seed=1059923555:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 16.48/3.69 % (1652446)Instruction limit reached!
% 16.48/3.69 % (1652446)------------------------------
% 16.48/3.69 % (1652446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.48/3.69 % (1652446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.48/3.69 % (1652446)CaDiCaL version: 2.1.3
% 16.48/3.69 % (1652446)Termination reason: Instruction limit
% 16.48/3.69 % (1652446)Termination phase: Saturation
% 16.48/3.69 % (1652446)Time elapsed: 0.155 s
% 16.48/3.69 % (1652446)Peak memory usage: 91 MB
% 16.48/3.69 % (1652446)Instructions burned: 285 (million)
% 16.48/3.69 % (1652441)------------------------------
% 16.48/3.69 % (1652441)------------------------------
% 16.76/3.76 % (1652438)------------------------------
% 16.76/3.76 % (1652438)------------------------------
% 16.76/3.76 % (1652450)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1463413640:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 16.76/3.76 % (1652450)Refutation not found, incomplete strategy
% 16.76/3.76 % (1652450)------------------------------
% 16.76/3.76 % (1652450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/3.76 % (1652450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/3.76 % (1652450)CaDiCaL version: 2.1.3
% 16.76/3.76 % (1652450)Termination reason: Refutation not found, incomplete strategy
% 16.76/3.76 % (1652450)Time elapsed: 0.003 s
% 16.76/3.76 % (1652450)Peak memory usage: 88 MB
% 16.76/3.76 % (1652450)Instructions burned: 1 (million)
% 16.76/3.76 % (1652452)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1738896674:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 16.76/3.76 % (1652452)Refutation not found, incomplete strategy
% 16.76/3.76 % (1652452)------------------------------
% 16.76/3.76 % (1652452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/3.76 % (1652452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/3.76 % (1652452)CaDiCaL version: 2.1.3
% 16.76/3.76 % (1652452)Termination reason: Refutation not found, incomplete strategy
% 16.76/3.76 % (1652452)Time elapsed: 0.002 s
% 16.76/3.76 % (1652452)Peak memory usage: 88 MB
% 16.76/3.76 % (1652452)Instructions burned: 1 (million)
% 16.76/3.76 % (1652453)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=2696056296:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 16.76/3.76 % (1652454)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=667473949:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 16.76/3.76 % (1652454)Refutation not found, incomplete strategy
% 16.76/3.76 % (1652454)------------------------------
% 16.76/3.76 % (1652454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/3.76 % (1652454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/3.76 % (1652454)CaDiCaL version: 2.1.3
% 16.76/3.76 % (1652454)Termination reason: Refutation not found, incomplete strategy
% 16.76/3.76 % (1652454)Time elapsed: 0.002 s
% 16.76/3.76 % (1652454)Peak memory usage: 88 MB
% 16.76/3.76 % (1652454)Instructions burned: 1 (million)
% 16.76/3.76 % (1652452)------------------------------
% 16.76/3.76 % (1652452)------------------------------
% 16.76/3.76 % (1652450)------------------------------
% 16.76/3.76 % (1652450)------------------------------
% 16.76/3.76 % (1652437)Refutation not found, incomplete strategy
% 16.76/3.76 % (1652437)------------------------------
% 16.76/3.76 % (1652437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/3.76 % (1652437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/3.76 % (1652437)CaDiCaL version: 2.1.3
% 16.76/3.76 % (1652437)Termination reason: Refutation not found, incomplete strategy
% 16.76/3.76 % (1652437)Time elapsed: 0.958 s
% 16.76/3.76 % (1652437)Peak memory usage: 127 MB
% 16.76/3.76 % (1652437)Instructions burned: 895 (million)
% 16.76/3.76 % (1652453)Instruction limit reached!
% 16.76/3.76 % (1652453)------------------------------
% 16.76/3.76 % (1652453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/3.76 % (1652453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/3.76 % (1652453)CaDiCaL version: 2.1.3
% 16.76/3.76 % (1652453)Termination reason: Instruction limit
% 16.76/3.76 % (1652453)Termination phase: Saturation
% 16.76/3.76 % (1652453)Time elapsed: 0.262 s
% 16.76/3.76 % (1652453)Peak memory usage: 91 MB
% 16.76/3.76 % (1652453)Instructions burned: 248 (million)
% 16.76/3.76 % (1652454)------------------------------
% 16.76/3.76 % (1652454)------------------------------
% 16.76/3.76 % (1652459)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3632592532:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 16.76/3.76 % (1652460)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3931317118:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 16.76/3.76 % (1652437)------------------------------
% 16.76/3.76 % (1652437)------------------------------
% 16.76/3.76 % (1652461)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2281766093:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 16.76/3.76 % (1652460)Instruction limit reached!
% 16.76/3.76 % (1652460)------------------------------
% 16.76/3.76 % (1652460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/3.76 % (1652460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/3.76 % (1652460)CaDiCaL version: 2.1.3
% 16.76/3.76 % (1652460)Termination reason: Instruction limit
% 16.76/3.76 % (1652460)Termination phase: Saturation
% 16.76/3.76 % (1652460)Time elapsed: 0.117 s
% 16.76/3.76 % (1652460)Peak memory usage: 89 MB
% 16.76/3.76 % (1652460)Instructions burned: 114 (million)
% 16.76/3.76 % (1652461)Refutation not found, incomplete strategy
% 16.76/3.76 % (1652461)------------------------------
% 16.76/3.76 % (1652461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/3.76 % (1652461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/3.76 % (1652461)CaDiCaL version: 2.1.3
% 16.76/3.76 % (1652461)Termination reason: Refutation not found, incomplete strategy
% 16.76/3.76 % (1652461)Time elapsed: 0.003 s
% 16.76/3.76 % (1652461)Peak memory usage: 88 MB
% 16.76/3.76 % (1652462)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2571752348:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 16.76/3.76 % (1652462)Refutation not found, incomplete strategy
% 16.76/3.76 % (1652462)------------------------------
% 16.76/3.76 % (1652462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/3.76 % (1652462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/3.76 % (1652462)CaDiCaL version: 2.1.3
% 16.76/3.76 % (1652462)Termination reason: Refutation not found, incomplete strategy
% 16.76/3.76 % (1652462)Time elapsed: 0.002 s
% 16.76/3.76 % (1652462)Peak memory usage: 88 MB
% 16.76/3.76 % (1652465)lrs+10_1_sil=8000:sp=occurrence:random_seed=1304472974:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 16.76/3.76 % (1652467)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4168641088:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 16.76/3.76 % (1652467)Refutation not found, incomplete strategy
% 16.76/3.76 % (1652467)------------------------------
% 16.76/3.76 % (1652467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/3.76 % (1652467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/3.76 % (1652467)CaDiCaL version: 2.1.3
% 16.76/3.76 % (1652467)Termination reason: Refutation not found, incomplete strategy
% 16.76/3.76 % (1652467)Time elapsed: 0.002 s
% 16.76/3.76 % (1652467)Peak memory usage: 88 MB
% 16.76/3.76 % (1652461)------------------------------
% 16.76/3.76 % (1652461)------------------------------
% 16.76/3.76 % (1652435)First to succeed.
% 16.76/3.76 % (1652435)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1652430"
% 16.76/3.76 % (1652436)Also succeeded, but the first one will report.
% 16.76/3.76 % (1652462)------------------------------
% 16.76/3.76 % (1652462)------------------------------
% 16.76/3.76 % (1652465)Instruction limit reached!
% 16.76/3.76 % (1652465)------------------------------
% 16.76/3.76 % (1652465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/3.76 % (1652465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/3.76 % (1652465)CaDiCaL version: 2.1.3
% 16.76/3.76 % (1652465)Termination reason: Instruction limit
% 16.76/3.76 % (1652465)Termination phase: Saturation
% 16.76/3.76 % (1652465)Time elapsed: 0.486 s
% 16.76/3.76 % (1652465)Peak memory usage: 95 MB
% 16.76/3.76 % (1652465)Instructions burned: 908 (million)
% 16.76/3.76 % (1652467)------------------------------
% 16.76/3.76 % (1652467)------------------------------
% 16.76/3.76 % (1652471)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=784162793:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 16.76/3.76 % (1652472)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=893626296:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2979 on theBenchmark for (2979ds/134Mi)
% 16.76/3.76 % (1652472)Refutation not found, incomplete strategy
% 16.76/3.76 % (1652472)------------------------------
% 16.76/3.76 % (1652472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/3.76 % (1652472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/3.76 % (1652472)CaDiCaL version: 2.1.3
% 16.76/3.76 % (1652472)Termination reason: Refutation not found, incomplete strategy
% 16.76/3.76 % (1652472)Time elapsed: 0.004 s
% 16.76/3.76 % (1652472)Peak memory usage: 89 MB
% 16.76/3.76 % (1652472)Instructions burned: 1 (million)
% 16.76/3.76 % (1652473)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=597621790:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 16.76/3.76 % (1652473)Refutation not found, incomplete strategy
% 16.76/3.76 % (1652473)------------------------------
% 16.76/3.76 % (1652473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/3.76 % (1652473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/3.76 % (1652473)CaDiCaL version: 2.1.3
% 16.76/3.76 % (1652473)Termination reason: Refutation not found, incomplete strategy
% 16.76/3.76 % (1652473)Time elapsed: 0.001 s
% 16.76/3.76 % (1652473)Peak memory usage: 88 MB
% 16.76/3.76 % (1652473)Instructions burned: 1 (million)
% 16.76/3.76 % (1652435)Refutation found. Thanks to Tanya!
% 16.76/3.76 % SZS status Theorem for theBenchmark
% 16.76/3.76 % SZS output start Proof for theBenchmark
% See solution above
% 18.39/4.14 % (1652435)------------------------------
% 18.39/4.14 % (1652435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.39/4.14 % (1652435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.39/4.14 % (1652435)CaDiCaL version: 2.1.3
% 18.39/4.14 % (1652435)Termination reason: Refutation
% 18.39/4.14 % (1652435)Time elapsed: 1.715 s
% 18.39/4.14 % (1652435)Peak memory usage: 136 MB
% 18.39/4.14 % (1652435)Instructions burned: 1573 (million)
% 18.39/4.14 % (1652435)------------------------------
% 18.39/4.14 % (1652435)------------------------------
% 18.39/4.14 % (1652430)Success in time 2.452 s
% 18.39/4.14 % Vampire exiting
%------------------------------------------------------------------------------