%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL026+3 : 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 : n012.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 12:33:52 PM UTC 2026
% Result : Theorem 6.50s 1.78s
% Output : Refutation 8.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 12
% Syntax : Number of formulae : 111 ( 107 unt; 0 def)
% Number of atoms : 115 ( 114 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 9 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 177 ( 175 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f17,conjecture,
! [X0,X1] :
( join(X0,one) = one
=> meet(composition(X0,top),X1) = composition(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( join(X0,one) = one
=> meet(composition(X0,top),X1) = composition(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0,X1] :
( composition(X0,X1) != meet(composition(X0,top),X1)
& join(X0,one) = one ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
( composition(sK0,sK1) != meet(composition(sK0,top),sK1)
& one = join(sK0,one) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f19]) ).
fof(f21,plain,
one = join(sK0,one),
inference(cnf_transformation,[],[f20]) ).
fof(f22,plain,
composition(sK0,sK1) != meet(composition(sK0,top),sK1),
inference(cnf_transformation,[],[f20]) ).
fof(f23,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f24,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f29,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f30,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f31,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f32,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f33,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f35,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f36,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f37,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f38,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f39,plain,
composition(sK0,sK1) != complement(join(complement(composition(sK0,top)),complement(sK1))),
inference(definition_unfolding,[],[f22,f29]) ).
fof(f45,plain,
one = join(one,sK0),
inference(forward_demodulation,[],[f21,f24]) ).
fof(f46,plain,
composition(sK0,sK1) != complement(join(complement(sK1),complement(composition(sK0,top)))),
inference(forward_demodulation,[],[f39,f24]) ).
fof(f47,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f36,f37]) ).
fof(f50,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f31,f37]) ).
fof(f55,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f32,f31]) ).
fof(f68,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f38,f24]) ).
fof(f76,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f24,f38]) ).
fof(f81,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(forward_demodulation,[],[f68,f24]) ).
fof(f94,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f55,f31]) ).
fof(f99,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f94,f36]) ).
fof(f102,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f99,f36]) ).
fof(f104,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f102,f31]) ).
fof(f116,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f23,f38]) ).
fof(f125,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f24,f23]) ).
fof(f127,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f116,f125]) ).
fof(f168,plain,
! [X0,X1] : complement(X1) = join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)),
inference(superposition,[],[f30,f37]) ).
fof(f183,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(forward_demodulation,[],[f168,f24]) ).
fof(f188,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f50,f33]) ).
fof(f202,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f188,f37]) ).
fof(f215,plain,
one = converse(one),
inference(superposition,[],[f33,f202]) ).
fof(f262,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f37,f104]) ).
fof(f267,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f262,f37]) ).
fof(f296,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(one,X1)),
inference(superposition,[],[f267,f33]) ).
fof(f471,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f202,f215]) ).
fof(f497,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(one),X0))),
inference(superposition,[],[f183,f471]) ).
fof(f500,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f497,f202]) ).
fof(f521,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,[],[f127,f500]) ).
fof(f525,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f521,f76]) ).
fof(f555,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f525,f525]) ).
fof(f557,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f525,f24]) ).
fof(f559,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = join(X0,X0),
inference(superposition,[],[f127,f525]) ).
fof(f576,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = join(X0,X0),
inference(forward_demodulation,[],[f559,f24]) ).
fof(f590,plain,
! [X0,X1] : join(X1,X1) = join(X1,complement(join(X0,complement(X1)))),
inference(superposition,[],[f576,f24]) ).
fof(f599,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f525,f576]) ).
fof(f626,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(forward_demodulation,[],[f590,f599]) ).
fof(f655,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[],[f626,f24]) ).
fof(f663,plain,
! [X0,X1] : join(X1,X0) = join(complement(join(complement(X1),X0)),X0),
inference(superposition,[],[f127,f626]) ).
fof(f683,plain,
! [X0,X1] : join(X1,X0) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f663,f24]) ).
fof(f718,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(complement(join(complement(X0),complement(X1))),X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f81,f683]) ).
fof(f730,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(X0,complement(X1))),complement(join(complement(join(complement(X0),complement(X1))),X1))),
inference(forward_demodulation,[],[f718,f24]) ).
fof(f748,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(X0,complement(X1))),complement(join(X1,complement(join(complement(X0),complement(X1)))))),
inference(forward_demodulation,[],[f730,f24]) ).
fof(f757,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(X0,complement(X1))),complement(X1)),
inference(forward_demodulation,[],[f748,f557]) ).
fof(f760,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X1),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f757,f24]) ).
fof(f765,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(join(complement(X0),X2),complement(join(X0,X1))),
inference(superposition,[],[f655,f127]) ).
fof(f809,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f765,f23]) ).
fof(f838,plain,
! [X0] : join(complement(complement(X0)),complement(join(complement(X0),complement(complement(X0))))) = X0,
inference(superposition,[],[f38,f555]) ).
fof(f843,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),complement(complement(complement(complement(X0)))))))),
inference(superposition,[],[f127,f555]) ).
fof(f846,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f843,f809]) ).
fof(f850,plain,
! [X0] : join(complement(complement(X0)),complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f838,f760]) ).
fof(f854,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f850,f500]) ).
fof(f863,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f81,f854]) ).
fof(f874,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f683,f854]) ).
fof(f883,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f874,f24]) ).
fof(f2594,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,sK0)),
inference(superposition,[],[f296,f45]) ).
fof(f2680,plain,
! [X0] : join(X0,composition(X0,sK0)) = X0,
inference(forward_demodulation,[],[f2594,f33]) ).
fof(f2740,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),sK0))),
inference(superposition,[],[f47,f2680]) ).
fof(f2742,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(sK0),X0)),
inference(forward_demodulation,[],[f2740,f50]) ).
fof(f2765,plain,
! [X0] : join(X0,composition(converse(sK0),X0)) = X0,
inference(forward_demodulation,[],[f2742,f37]) ).
fof(f2809,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,composition(converse(sK0),one))),
inference(superposition,[],[f296,f2765]) ).
fof(f2813,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,converse(sK0))),
inference(forward_demodulation,[],[f2809,f33]) ).
fof(f2832,plain,
! [X0] : join(X0,composition(X0,converse(sK0))) = X0,
inference(forward_demodulation,[],[f2813,f33]) ).
fof(f2876,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),converse(sK0)))),
inference(superposition,[],[f47,f2832]) ).
fof(f2878,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(converse(sK0)),X0)),
inference(forward_demodulation,[],[f2876,f50]) ).
fof(f2904,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(sK0,X0)),
inference(forward_demodulation,[],[f2878,f37]) ).
fof(f2916,plain,
! [X0] : join(X0,composition(sK0,X0)) = X0,
inference(forward_demodulation,[],[f2904,f37]) ).
fof(f2928,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(composition(sK0,X0),X1)),
inference(superposition,[],[f23,f2916]) ).
fof(f2945,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(join(composition(sK0,complement(X0)),X0)),complement(complement(X0))),
inference(superposition,[],[f863,f2916]) ).
fof(f2955,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(complement(X0)),complement(join(composition(sK0,complement(X0)),X0))),
inference(forward_demodulation,[],[f2945,f24]) ).
fof(f2970,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(X0,complement(join(composition(sK0,complement(X0)),X0))),
inference(forward_demodulation,[],[f2955,f846]) ).
fof(f2973,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(composition(sK0,complement(X0))),X0),
inference(forward_demodulation,[],[f2970,f874]) ).
fof(f2974,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(X0,complement(composition(sK0,complement(X0)))),
inference(forward_demodulation,[],[f2973,f24]) ).
fof(f3076,plain,
! [X0,X1] : join(X0,composition(sK0,X1)) = join(X0,composition(sK0,join(X0,X1))),
inference(superposition,[],[f2928,f267]) ).
fof(f3199,plain,
! [X0] : join(X0,composition(sK0,complement(X0))) = join(X0,composition(sK0,top)),
inference(superposition,[],[f3076,f35]) ).
fof(f3353,plain,
! [X0] : join(complement(composition(sK0,complement(X0))),X0) = join(X0,complement(join(X0,composition(sK0,top)))),
inference(superposition,[],[f883,f3199]) ).
fof(f3389,plain,
! [X0] : join(complement(composition(sK0,complement(X0))),X0) = join(complement(composition(sK0,top)),X0),
inference(forward_demodulation,[],[f3353,f883]) ).
fof(f3408,plain,
! [X0] : join(X0,complement(composition(sK0,complement(X0)))) = join(complement(composition(sK0,top)),X0),
inference(forward_demodulation,[],[f3389,f24]) ).
fof(f3418,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(composition(sK0,top)),X0),
inference(forward_demodulation,[],[f3408,f2974]) ).
fof(f3483,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(X0,complement(composition(sK0,top))),
inference(superposition,[],[f24,f3418]) ).
fof(f3712,plain,
composition(sK0,sK1) != complement(complement(composition(sK0,complement(complement(sK1))))),
inference(superposition,[],[f46,f3483]) ).
fof(f3741,plain,
composition(sK0,sK1) != composition(sK0,complement(complement(sK1))),
inference(forward_demodulation,[],[f3712,f854]) ).
fof(f3775,plain,
composition(sK0,sK1) != composition(sK0,sK1),
inference(forward_demodulation,[],[f3741,f854]) ).
fof(f3776,plain,
$false,
inference(trivial_inequality_removal,[],[f3775]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : REL026+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 27 22:52:49 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.33 Running first-order theorem proving
% 0.04/0.33 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
% 6.50/1.78 % (2844776)Detected formulas, will run a generic FOF schedule.
% 6.50/1.78 % (2844801)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2362387998:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.50/1.78 % (2844797)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=3980261903:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.50/1.78 % (2844800)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2247011279:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.50/1.78 % (2844799)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1878090458:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.50/1.78 % (2844803)dis-21_1_sil=8000:lcm=predicate:random_seed=2245920691: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)
% 6.50/1.78 % (2844796)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=583115737:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.50/1.78 % (2844803)Refutation not found, incomplete strategy
% 6.50/1.78 % (2844803)------------------------------
% 6.50/1.78 % (2844803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.78 % (2844803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.78 % (2844803)CaDiCaL version: 2.1.3
% 6.50/1.78 % (2844803)Termination reason: Refutation not found, incomplete strategy
% 6.50/1.78 % (2844803)Time elapsed: 0.001 s
% 6.50/1.78 % (2844803)Peak memory usage: 88 MB
% 6.50/1.78 % (2844803)Instructions burned: 1 (million)
% 6.50/1.78 % (2844798)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=540339103:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.50/1.78 % (2844801)Instruction limit reached!
% 6.50/1.78 % (2844801)------------------------------
% 6.50/1.78 % (2844801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.78 % (2844801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.78 % (2844801)CaDiCaL version: 2.1.3
% 6.50/1.78 % (2844801)Termination reason: Instruction limit
% 6.50/1.78 % (2844801)Termination phase: Saturation
% 6.50/1.78 % (2844801)Time elapsed: 0.074 s
% 6.50/1.78 % (2844801)Peak memory usage: 89 MB
% 6.50/1.78 % (2844801)Instructions burned: 141 (million)
% 6.50/1.78 % (2844800)Instruction limit reached!
% 6.50/1.78 % (2844800)------------------------------
% 6.50/1.78 % (2844800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.78 % (2844800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.78 % (2844800)CaDiCaL version: 2.1.3
% 6.50/1.78 % (2844800)Termination reason: Instruction limit
% 6.50/1.78 % (2844800)Termination phase: Saturation
% 6.50/1.78 % (2844800)Time elapsed: 0.057 s
% 6.50/1.78 % (2844800)Peak memory usage: 89 MB
% 6.50/1.78 % (2844800)Instructions burned: 120 (million)
% 6.50/1.78 % (2844799)Instruction limit reached!
% 6.50/1.78 % (2844799)------------------------------
% 6.50/1.78 % (2844799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.78 % (2844799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.78 % (2844799)CaDiCaL version: 2.1.3
% 6.50/1.78 % (2844799)Termination reason: Instruction limit
% 6.50/1.78 % (2844799)Termination phase: Saturation
% 6.50/1.78 % (2844799)Time elapsed: 0.058 s
% 6.50/1.78 % (2844799)Peak memory usage: 89 MB
% 6.50/1.78 % (2844799)Instructions burned: 110 (million)
% 6.50/1.78 % (2844803)------------------------------
% 6.50/1.78 % (2844803)------------------------------
% 6.50/1.78 % (2844814)lrs+10_1_sil=8000:sp=occurrence:random_seed=3963248146:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.50/1.78 % (2844816)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2208362687:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.50/1.78 % (2844815)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2197904902:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.50/1.78 % (2844815)Instruction limit reached!
% 6.50/1.78 % (2844815)------------------------------
% 6.50/1.78 % (2844815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.78 % (2844815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.78 % (2844815)CaDiCaL version: 2.1.3
% 6.50/1.78 % (2844815)Termination reason: Instruction limit
% 6.50/1.78 % (2844815)Termination phase: Saturation
% 6.50/1.78 % (2844815)Time elapsed: 0.082 s
% 6.50/1.78 % (2844815)Peak memory usage: 90 MB
% 6.50/1.78 % (2844815)Instructions burned: 157 (million)
% 6.50/1.78 % (2844814)Instruction limit reached!
% 6.50/1.78 % (2844814)------------------------------
% 6.50/1.78 % (2844814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.78 % (2844814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.78 % (2844814)CaDiCaL version: 2.1.3
% 6.50/1.78 % (2844814)Termination reason: Instruction limit
% 6.50/1.78 % (2844814)Termination phase: Saturation
% 6.50/1.78 % (2844814)Time elapsed: 0.099 s
% 6.50/1.78 % (2844814)Peak memory usage: 91 MB
% 6.50/1.78 % (2844814)Instructions burned: 285 (million)
% 6.50/1.78 % (2844816)Instruction limit reached!
% 6.50/1.78 % (2844816)------------------------------
% 6.50/1.78 % (2844816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.78 % (2844816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.78 % (2844816)CaDiCaL version: 2.1.3
% 6.50/1.78 % (2844816)Termination reason: Instruction limit
% 6.50/1.78 % (2844816)Termination phase: Saturation
% 6.50/1.78 % (2844816)Time elapsed: 0.166 s
% 6.50/1.78 % (2844816)Peak memory usage: 92 MB
% 6.50/1.78 % (2844816)Instructions burned: 325 (million)
% 6.50/1.78 % (2844821)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=1291319953:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.50/1.78 % (2844827)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2119983999:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 6.50/1.78 % (2844828)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=698063477:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.50/1.78 % (2844821)Instruction limit reached!
% 6.50/1.78 % (2844821)------------------------------
% 6.50/1.78 % (2844821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.78 % (2844821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.78 % (2844821)CaDiCaL version: 2.1.3
% 6.50/1.78 % (2844821)Termination reason: Instruction limit
% 6.50/1.78 % (2844821)Termination phase: Saturation
% 6.50/1.78 % (2844821)Time elapsed: 0.133 s
% 6.50/1.78 % (2844821)Peak memory usage: 91 MB
% 6.50/1.78 % (2844821)Instructions burned: 250 (million)
% 6.50/1.78 % (2844829)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=882469903:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.50/1.78 % (2844827)Instruction limit reached!
% 6.50/1.78 % (2844827)------------------------------
% 6.50/1.78 % (2844827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.78 % (2844827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.78 % (2844827)CaDiCaL version: 2.1.3
% 6.50/1.78 % (2844827)Termination reason: Instruction limit
% 6.50/1.78 % (2844827)Termination phase: Saturation
% 6.50/1.78 % (2844827)Time elapsed: 0.158 s
% 6.50/1.78 % (2844827)Peak memory usage: 91 MB
% 6.50/1.78 % (2844827)Instructions burned: 296 (million)
% 6.50/1.78 % (2844829)Instruction limit reached!
% 6.50/1.78 % (2844829)------------------------------
% 6.50/1.78 % (2844829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.78 % (2844829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.78 % (2844829)CaDiCaL version: 2.1.3
% 6.50/1.78 % (2844829)Termination reason: Instruction limit
% 6.50/1.78 % (2844829)Termination phase: Saturation
% 6.50/1.78 % (2844829)Time elapsed: 0.062 s
% 6.50/1.78 % (2844829)Peak memory usage: 90 MB
% 6.50/1.78 % (2844829)Instructions burned: 113 (million)
% 6.50/1.78 % (2844797)First to succeed.
% 6.50/1.78 % (2844797)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2844776"
% 6.50/1.78 % (2844835)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2277925512:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 6.50/1.78 % (2844835)Refutation not found, incomplete strategy
% 6.50/1.78 % (2844835)------------------------------
% 6.50/1.78 % (2844835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.78 % (2844835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.78 % (2844835)CaDiCaL version: 2.1.3
% 6.50/1.78 % (2844835)Termination reason: Refutation not found, incomplete strategy
% 6.50/1.78 % (2844835)Time elapsed: 0.001 s
% 6.50/1.78 % (2844835)Peak memory usage: 87 MB
% 6.50/1.78 % (2844835)Instructions burned: 1 (million)
% 6.50/1.78 % (2844838)lrs+10_1_sil=8000:sp=occurrence:random_seed=3059388201:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.50/1.78 % (2844837)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2127301148:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 6.50/1.78 % (2844837)Instruction limit reached!
% 6.50/1.78 % (2844837)------------------------------
% 6.50/1.78 % (2844837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.78 % (2844837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.78 % (2844837)CaDiCaL version: 2.1.3
% 6.50/1.78 % (2844837)Termination reason: Instruction limit
% 6.50/1.78 % (2844837)Termination phase: Saturation
% 6.50/1.78 % (2844837)Time elapsed: 0.056 s
% 6.50/1.78 % (2844837)Peak memory usage: 88 MB
% 6.50/1.78 % (2844837)Instructions burned: 115 (million)
% 6.50/1.78 % (2844796)Also succeeded, but the first one will report.
% 6.50/1.78 % (2844797)Refutation found. Thanks to Tanya!
% 6.50/1.78 % SZS status Theorem for theBenchmark
% 6.50/1.78 % SZS output start Proof for theBenchmark
% See solution above
% 8.45/1.94 % (2844797)------------------------------
% 8.45/1.94 % (2844797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/1.94 % (2844797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/1.94 % (2844797)CaDiCaL version: 2.1.3
% 8.45/1.94 % (2844797)Termination reason: Refutation
% 8.45/1.94 % (2844797)Time elapsed: 0.734 s
% 8.45/1.94 % (2844797)Peak memory usage: 131 MB
% 8.45/1.94 % (2844797)Instructions burned: 1309 (million)
% 8.45/1.94 % (2844797)------------------------------
% 8.45/1.94 % (2844797)------------------------------
% 8.45/1.94 % (2844776)Success in time 1.152 s
% 8.45/1.94 % Vampire exiting
%------------------------------------------------------------------------------