%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL037+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 : n014.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 12:34:02 PM UTC 2026
% Result : Theorem 16.41s 3.48s
% Output : Refutation 17.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 25
% Syntax : Number of formulae : 120 ( 116 unt; 12 def)
% Number of atoms : 124 ( 123 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 18 con; 0-2 aty)
% Number of variables : 117 ( 114 !; 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(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
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] :
( composition(X0,top) = X0
=> composition(meet(X1,converse(X0)),meet(X0,X2)) = composition(meet(X1,converse(X0)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( composition(X0,top) = X0
=> composition(meet(X1,converse(X0)),meet(X0,X2)) = composition(meet(X1,converse(X0)),X2) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] :
( composition(meet(X1,converse(X0)),meet(X0,X2)) != composition(meet(X1,converse(X0)),X2)
& composition(X0,top) = X0 ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( composition(meet(sK1,converse(sK0)),meet(sK0,sK2)) != composition(meet(sK1,converse(sK0)),sK2)
& sK0 = composition(sK0,top) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f16]) ).
fof(f18,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f19,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f20,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f23,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f24,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f25,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f26,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f28,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f29,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f30,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
sK0 = composition(sK0,top),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
composition(meet(sK1,converse(sK0)),meet(sK0,sK2)) != composition(meet(sK1,converse(sK0)),sK2),
inference(cnf_transformation,[],[f17]) ).
fof(f33,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f21]) ).
fof(f34,plain,
composition(complement(join(complement(sK1),complement(converse(sK0)))),complement(join(complement(sK0),complement(sK2)))) != composition(complement(join(complement(sK1),complement(converse(sK0)))),sK2),
inference(definition_unfolding,[],[f32,f21,f21,f21]) ).
fof(f35,definition,
sF3 = complement(sK1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f36,plain,
complement(sK1) = sF3,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF4 = converse(sK0),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f38,plain,
converse(sK0) = sF4,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f40,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF6 = join(sF3,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f42,plain,
join(sF3,sF5) = sF6,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF7 = complement(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f44,plain,
complement(sF6) = sF7,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF8 = complement(sK0),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f46,plain,
complement(sK0) = sF8,
inference(reorient_equations,[],[f45]) ).
fof(f47,definition,
sF9 = complement(sK2),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f48,plain,
complement(sK2) = sF9,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF10 = join(sF8,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f50,plain,
join(sF8,sF9) = sF10,
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
sF11 = complement(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f52,plain,
complement(sF10) = sF11,
inference(reorient_equations,[],[f51]) ).
fof(f53,definition,
sF12 = composition(sF7,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f54,plain,
composition(sF7,sF11) = sF12,
inference(reorient_equations,[],[f53]) ).
fof(f55,definition,
sF13 = composition(sF7,sK2),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f56,plain,
composition(sF7,sK2) = sF13,
inference(reorient_equations,[],[f55]) ).
fof(f57,plain,
sF12 != sF13,
inference(definition_folding,[],[f34,f56,f44,f42,f40,f38,f36,f54,f52,f50,f48,f46,f44,f42,f40,f38,f36]) ).
fof(f58,definition,
sF14 = composition(sK0,top),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f59,plain,
composition(sK0,top) = sF14,
inference(reorient_equations,[],[f58]) ).
fof(f60,plain,
sK0 = sF14,
inference(definition_folding,[],[f31,f59]) ).
fof(f61,plain,
sK0 = composition(sK0,top),
inference(forward_demodulation,[],[f59,f60]) ).
fof(f71,plain,
complement(top) = join(composition(converse(sK0),complement(sK0)),complement(top)),
inference(superposition,[],[f28,f61]) ).
fof(f74,plain,
complement(top) = join(composition(converse(sK0),sF8),complement(top)),
inference(forward_demodulation,[],[f71,f46]) ).
fof(f76,plain,
complement(top) = join(composition(sF4,sF8),complement(top)),
inference(forward_demodulation,[],[f74,f38]) ).
fof(f96,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f27,f25]) ).
fof(f98,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f24,f27]) ).
fof(f130,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f20,f18]) ).
fof(f140,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f20,f18]) ).
fof(f152,plain,
zero = complement(top),
inference(superposition,[],[f33,f29]) ).
fof(f198,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f19,f20]) ).
fof(f218,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f96,f23]) ).
fof(f228,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f218,f25]) ).
fof(f243,plain,
one = converse(one),
inference(superposition,[],[f23,f228]) ).
fof(f247,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f228,f243]) ).
fof(f261,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f28,f247]) ).
fof(f262,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f261,f228]) ).
fof(f322,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[],[f140,f29]) ).
fof(f340,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),zero) = X0,
inference(forward_demodulation,[],[f322,f152]) ).
fof(f346,plain,
! [X0] : join(complement(complement(X0)),zero) = X0,
inference(forward_demodulation,[],[f340,f262]) ).
fof(f398,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f198,f262]) ).
fof(f406,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f398,f20]) ).
fof(f440,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f406,f33]) ).
fof(f497,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f18,f440]) ).
fof(f503,plain,
! [X0] : complement(complement(X0)) = X0,
inference(superposition,[],[f346,f440]) ).
fof(f513,plain,
sK2 = complement(sF9),
inference(superposition,[],[f503,f48]) ).
fof(f514,plain,
sF4 = complement(sF5),
inference(superposition,[],[f503,f40]) ).
fof(f531,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f406,f503]) ).
fof(f549,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f531,f18]) ).
fof(f638,plain,
complement(sF5) = join(complement(sF5),complement(sF6)),
inference(superposition,[],[f549,f42]) ).
fof(f660,plain,
complement(sF5) = join(complement(sF5),sF7),
inference(forward_demodulation,[],[f638,f44]) ).
fof(f676,plain,
sF4 = join(sF4,sF7),
inference(forward_demodulation,[],[f660,f514]) ).
fof(f1119,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(join(complement(X0),X1),complement(join(complement(X1),complement(X0)))))),
inference(superposition,[],[f140,f130]) ).
fof(f1138,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(complement(X0),join(X1,complement(join(complement(X1),complement(X0))))))),
inference(forward_demodulation,[],[f1119,f19]) ).
fof(f1170,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f1138,f406]) ).
fof(f1224,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f1170,f503]) ).
fof(f1372,plain,
join(complement(sF9),sF8) = join(sF8,complement(sF10)),
inference(superposition,[],[f1224,f50]) ).
fof(f1418,plain,
join(complement(sF9),sF8) = join(sF8,sF11),
inference(forward_demodulation,[],[f1372,f52]) ).
fof(f1450,plain,
join(sF8,sF11) = join(sK2,sF8),
inference(forward_demodulation,[],[f1418,f513]) ).
fof(f3626,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f98,f27]) ).
fof(f3651,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f3626,f26]) ).
fof(f3671,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f3651,f26]) ).
fof(f3682,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f3671,f27]) ).
fof(f3717,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f25,f3682]) ).
fof(f3736,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f3717,f25]) ).
fof(f3796,plain,
! [X0] : composition(sF7,join(sK2,X0)) = join(sF13,composition(sF7,X0)),
inference(superposition,[],[f3736,f56]) ).
fof(f3807,plain,
! [X0] : composition(sF7,join(X0,sF11)) = join(composition(sF7,X0),sF12),
inference(superposition,[],[f3736,f54]) ).
fof(f3876,plain,
join(sF13,composition(sF7,sF8)) = composition(sF7,join(sF8,sF11)),
inference(superposition,[],[f3796,f1450]) ).
fof(f3917,plain,
join(sF13,composition(sF7,sF8)) = join(composition(sF7,sF8),sF12),
inference(forward_demodulation,[],[f3876,f3807]) ).
fof(f7366,plain,
zero = join(composition(sF4,sF8),zero),
inference(superposition,[],[f76,f152]) ).
fof(f7411,plain,
zero = composition(sF4,sF8),
inference(forward_demodulation,[],[f7366,f440]) ).
fof(f7446,plain,
! [X0] : composition(join(sF4,X0),sF8) = join(zero,composition(X0,sF8)),
inference(superposition,[],[f24,f7411]) ).
fof(f7459,plain,
! [X0] : composition(X0,sF8) = composition(join(sF4,X0),sF8),
inference(forward_demodulation,[],[f7446,f497]) ).
fof(f7638,plain,
composition(sF4,sF8) = composition(sF7,sF8),
inference(superposition,[],[f7459,f676]) ).
fof(f7682,plain,
zero = composition(sF7,sF8),
inference(forward_demodulation,[],[f7638,f7411]) ).
fof(f7803,plain,
! [X0] : composition(sF7,join(sF8,X0)) = join(zero,composition(sF7,X0)),
inference(superposition,[],[f3736,f7682]) ).
fof(f7806,plain,
! [X0] : composition(sF7,X0) = composition(sF7,join(sF8,X0)),
inference(forward_demodulation,[],[f7803,f497]) ).
fof(f8062,plain,
composition(sF7,sF11) = join(composition(sF7,sF8),sF12),
inference(superposition,[],[f3807,f7806]) ).
fof(f8082,plain,
composition(sF7,sF11) = join(sF13,composition(sF7,sF8)),
inference(forward_demodulation,[],[f8062,f3917]) ).
fof(f8100,plain,
composition(sF7,sF11) = join(sF13,zero),
inference(forward_demodulation,[],[f8082,f7682]) ).
fof(f8110,plain,
composition(sF7,sF11) = sF13,
inference(forward_demodulation,[],[f8100,f440]) ).
fof(f8114,plain,
sF12 = sF13,
inference(forward_demodulation,[],[f8110,f54]) ).
fof(f8117,plain,
$false,
inference(forward_subsumption_resolution,[],[f8114,f57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL037+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 22:55:16 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 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
% 16.41/3.48 % (1263967)Detected formulas, will run a generic FOF schedule.
% 16.41/3.48 % (1263973)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=1761915237:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 16.41/3.48 % (1263972)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=2721108881:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 16.41/3.48 % (1263974)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=414541572:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 16.41/3.48 % (1263975)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=704228250:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 16.41/3.48 % (1263976)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1055281641:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 16.41/3.48 % (1263977)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=770936746:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 16.41/3.48 % (1263978)dis-21_1_sil=8000:lcm=predicate:random_seed=2094258654: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)
% 16.41/3.48 % (1263978)Refutation not found, incomplete strategy
% 16.41/3.48 % (1263978)------------------------------
% 16.41/3.48 % (1263978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.41/3.48 % (1263978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.41/3.48 % (1263978)CaDiCaL version: 2.1.3
% 16.41/3.48 % (1263978)Termination reason: Refutation not found, incomplete strategy
% 16.41/3.48 % (1263978)Time elapsed: 0.002 s
% 16.41/3.48 % (1263978)Peak memory usage: 88 MB
% 16.41/3.48 % (1263978)Instructions burned: 1 (million)
% 16.41/3.48 % (1263975)Instruction limit reached!
% 16.41/3.48 % (1263975)------------------------------
% 16.41/3.48 % (1263975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.41/3.48 % (1263975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.41/3.48 % (1263975)CaDiCaL version: 2.1.3
% 16.41/3.48 % (1263975)Termination reason: Instruction limit
% 16.41/3.48 % (1263975)Termination phase: Saturation
% 16.41/3.48 % (1263975)Time elapsed: 0.112 s
% 16.41/3.48 % (1263975)Peak memory usage: 89 MB
% 16.41/3.48 % (1263975)Instructions burned: 109 (million)
% 16.41/3.48 % (1263976)Instruction limit reached!
% 16.41/3.48 % (1263976)------------------------------
% 16.41/3.48 % (1263976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.41/3.48 % (1263976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.41/3.48 % (1263976)CaDiCaL version: 2.1.3
% 16.41/3.48 % (1263976)Termination reason: Instruction limit
% 16.41/3.48 % (1263976)Termination phase: Saturation
% 16.41/3.48 % (1263976)Time elapsed: 0.112 s
% 16.41/3.48 % (1263976)Peak memory usage: 88 MB
% 16.41/3.48 % (1263976)Instructions burned: 119 (million)
% 16.41/3.48 % (1263977)Instruction limit reached!
% 16.41/3.48 % (1263977)------------------------------
% 16.41/3.48 % (1263977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.41/3.48 % (1263977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.41/3.48 % (1263977)CaDiCaL version: 2.1.3
% 16.41/3.48 % (1263977)Termination reason: Instruction limit
% 16.41/3.48 % (1263977)Termination phase: Saturation
% 16.41/3.48 % (1263977)Time elapsed: 0.138 s
% 16.41/3.48 % (1263977)Peak memory usage: 89 MB
% 16.41/3.48 % (1263977)Instructions burned: 139 (million)
% 16.41/3.48 % (1263978)------------------------------
% 16.41/3.48 % (1263978)------------------------------
% 16.41/3.48 % (1263987)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2452016277:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 16.41/3.48 % (1263986)lrs+10_1_sil=8000:sp=occurrence:random_seed=2661952470:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 16.41/3.48 % (1263988)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2984790781:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 16.41/3.48 % (1263987)Instruction limit reached!
% 16.41/3.48 % (1263987)------------------------------
% 16.41/3.48 % (1263987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.41/3.48 % (1263987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.41/3.48 % (1263987)CaDiCaL version: 2.1.3
% 16.41/3.48 % (1263987)Termination reason: Instruction limit
% 16.41/3.48 % (1263987)Termination phase: Saturation
% 16.41/3.48 % (1263987)Time elapsed: 0.160 s
% 16.41/3.48 % (1263987)Peak memory usage: 90 MB
% 16.41/3.48 % (1263987)Instructions burned: 157 (million)
% 16.41/3.48 % (1263991)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=2421154563:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 16.41/3.48 % (1263986)Instruction limit reached!
% 16.41/3.48 % (1263986)------------------------------
% 16.41/3.48 % (1263986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.41/3.48 % (1263986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.41/3.48 % (1263986)CaDiCaL version: 2.1.3
% 16.41/3.48 % (1263986)Termination reason: Instruction limit
% 16.41/3.48 % (1263986)Termination phase: Saturation
% 16.41/3.48 % (1263986)Time elapsed: 0.288 s
% 16.41/3.48 % (1263986)Peak memory usage: 92 MB
% 16.41/3.48 % (1263986)Instructions burned: 285 (million)
% 16.41/3.48 % (1263988)Instruction limit reached!
% 16.41/3.48 % (1263988)------------------------------
% 16.41/3.48 % (1263988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.41/3.48 % (1263988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.41/3.48 % (1263988)CaDiCaL version: 2.1.3
% 16.41/3.48 % (1263988)Termination reason: Instruction limit
% 16.41/3.48 % (1263988)Termination phase: Saturation
% 16.41/3.48 % (1263988)Time elapsed: 0.336 s
% 16.41/3.48 % (1263988)Peak memory usage: 92 MB
% 16.41/3.48 % (1263988)Instructions burned: 325 (million)
% 16.41/3.48 % (1263991)Instruction limit reached!
% 16.41/3.48 % (1263991)------------------------------
% 16.41/3.48 % (1263991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.41/3.48 % (1263991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.41/3.48 % (1263991)CaDiCaL version: 2.1.3
% 16.41/3.48 % (1263991)Termination reason: Instruction limit
% 16.41/3.48 % (1263991)Termination phase: Saturation
% 16.41/3.48 % (1263991)Time elapsed: 0.134 s
% 16.41/3.48 % (1263991)Peak memory usage: 92 MB
% 16.41/3.48 % (1263991)Instructions burned: 249 (million)
% 16.41/3.48 % (1263993)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4090304358:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 16.41/3.48 % (1263995)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3381488457:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 16.41/3.48 % (1263997)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=786932728:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 16.41/3.48 % (1263997)Refutation not found, incomplete strategy
% 16.41/3.48 % (1263997)------------------------------
% 16.41/3.48 % (1263997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.41/3.48 % (1263997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.41/3.48 % (1263997)CaDiCaL version: 2.1.3
% 16.41/3.48 % (1263997)Termination reason: Refutation not found, incomplete strategy
% 16.41/3.48 % (1263997)Time elapsed: 0.001 s
% 16.41/3.48 % (1263997)Peak memory usage: 87 MB
% 16.41/3.48 % (1263996)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3190454686:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 16.41/3.48 % (1263993)Instruction limit reached!
% 16.41/3.48 % (1263993)------------------------------
% 16.41/3.48 % (1263993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.41/3.48 % (1263993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.41/3.48 % (1263993)CaDiCaL version: 2.1.3
% 16.41/3.48 % (1263993)Termination reason: Instruction limit
% 16.41/3.48 % (1263993)Termination phase: Saturation
% 16.41/3.48 % (1263993)Time elapsed: 0.293 s
% 16.41/3.48 % (1263993)Peak memory usage: 92 MB
% 16.41/3.48 % (1263993)Instructions burned: 294 (million)
% 16.41/3.48 % (1263996)Instruction limit reached!
% 16.41/3.48 % (1263996)------------------------------
% 16.41/3.48 % (1263996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.41/3.48 % (1263996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.41/3.48 % (1263996)CaDiCaL version: 2.1.3
% 16.41/3.48 % (1263996)Termination reason: Instruction limit
% 16.41/3.48 % (1263996)Termination phase: Saturation
% 16.41/3.48 % (1263996)Time elapsed: 0.115 s
% 16.41/3.48 % (1263996)Peak memory usage: 90 MB
% 16.41/3.48 % (1263996)Instructions burned: 114 (million)
% 16.41/3.48 % (1263997)------------------------------
% 16.41/3.48 % (1263997)------------------------------
% 16.41/3.48 % (1264002)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1931897486:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 16.41/3.48 % (1264003)lrs+10_1_sil=8000:sp=occurrence:random_seed=1235486717:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 16.41/3.48 % (1264004)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3315892227:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 16.41/3.48 % (1264002)Instruction limit reached!
% 16.41/3.48 % (1264002)------------------------------
% 16.41/3.48 % (1264002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.41/3.48 % (1264002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.41/3.48 % (1264002)CaDiCaL version: 2.1.3
% 16.41/3.48 % (1264002)Termination reason: Instruction limit
% 16.41/3.48 % (1264002)Termination phase: Saturation
% 16.41/3.48 % (1264002)Time elapsed: 0.068 s
% 16.41/3.48 % (1264002)Peak memory usage: 89 MB
% 16.41/3.48 % (1264002)Instructions burned: 116 (million)
% 16.41/3.48 % (1264004)Instruction limit reached!
% 16.41/3.48 % (1264004)------------------------------
% 16.41/3.48 % (1264004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.41/3.48 % (1264004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.41/3.48 % (1264004)CaDiCaL version: 2.1.3
% 16.41/3.48 % (1264004)Termination reason: Instruction limit
% 16.41/3.48 % (1264004)Termination phase: Saturation
% 16.41/3.48 % (1264004)Time elapsed: 0.114 s
% 16.41/3.48 % (1264004)Peak memory usage: 92 MB
% 16.41/3.48 % (1264004)Instructions burned: 438 (million)
% 16.41/3.48 % (1264008)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=535811729:i=5202:ss=axioms:sgt=16_2981 on theBenchmark for (2981ds/5202Mi)
% 16.41/3.48 % (1264012)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4142169626:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 16.41/3.48 % (1264012)Refutation not found, incomplete strategy
% 16.41/3.48 % (1264012)------------------------------
% 16.41/3.48 % (1264012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.41/3.48 % (1264012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.41/3.48 % (1264012)CaDiCaL version: 2.1.3
% 16.41/3.48 % (1264012)Termination reason: Refutation not found, incomplete strategy
% 16.41/3.48 % (1264012)Time elapsed: 0.001 s
% 16.41/3.48 % (1264012)Peak memory usage: 89 MB
% 16.41/3.48 % (1264012)Instructions burned: 1 (million)
% 16.41/3.48 % (1263972)First to succeed.
% 16.41/3.48 % (1263972)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1263967"
% 16.41/3.48 % (1264012)------------------------------
% 16.41/3.48 % (1264012)------------------------------
% 16.41/3.48 % (1264106)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=125806594:st=8:i=592:sd=3:ep=RST:ss=axioms_2978 on theBenchmark for (2978ds/592Mi)
% 16.41/3.48 % (1263972)Refutation found. Thanks to Tanya!
% 16.41/3.48 % SZS status Theorem for theBenchmark
% 16.41/3.48 % SZS output start Proof for theBenchmark
% See solution above
% 17.19/3.67 % (1263972)------------------------------
% 17.19/3.67 % (1263972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.19/3.67 % (1263972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/3.67 % (1263972)CaDiCaL version: 2.1.3
% 17.19/3.67 % (1263972)Termination reason: Refutation
% 17.19/3.67 % (1263972)Time elapsed: 1.777 s
% 17.19/3.67 % (1263972)Peak memory usage: 137 MB
% 17.19/3.67 % (1263972)Instructions burned: 1801 (million)
% 17.19/3.67 % (1263972)------------------------------
% 17.19/3.67 % (1263972)------------------------------
% 17.19/3.67 % (1263967)Success in time 2.323 s
% 17.19/3.67 % Vampire exiting
%------------------------------------------------------------------------------