%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT218-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 11:46:17 AM UTC 2026
% Result : Unsatisfiable 16.43s 3.40s
% Output : Refutation 17.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 16
% Syntax : Number of formulae : 110 ( 103 unt; 3 def)
% Number of atoms : 121 ( 120 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 15 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 222 ( 222 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_meet) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f9,axiom,
! [X0] : join(X0,complement(X0)) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_join) ).
fof(f10,axiom,
! [X0] : meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_meet) ).
fof(f11,axiom,
! [X0,X1] :
( join(X0,X1) != one
| meet(X0,X1) != zero
| complement(X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_join_complement) ).
fof(f12,axiom,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(X0,join(X1,meet(X2,join(X0,meet(X2,X3))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H1) ).
fof(f13,axiom,
meet(b,a) = a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distributivity_hypothesis) ).
fof(f14,plain,
a = meet(b,a),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
join(complement(b),complement(a)) != complement(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distributivity) ).
fof(f16,plain,
complement(a) != join(complement(b),complement(a)),
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF0 = complement(a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f18,plain,
complement(a) = sF0,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF1 = complement(b),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f20,plain,
complement(b) = sF1,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF2 = join(sF1,sF0),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f22,plain,
join(sF1,sF0) = sF2,
inference(reorient_equations,[],[f21]) ).
fof(f23,plain,
sF0 != sF2,
inference(definition_folding,[],[f16,f22,f18,f20,f18]) ).
fof(f24,plain,
complement(a) != sF2,
inference(backward_demodulation,[],[f23,f18]) ).
fof(f25,plain,
sF2 = join(sF1,complement(a)),
inference(forward_demodulation,[],[f22,f18]) ).
fof(f26,plain,
join(complement(b),complement(a)) = sF2,
inference(forward_demodulation,[],[f25,f20]) ).
fof(f30,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f33,plain,
! [X0,X1] :
( join(X0,X1) != one
| meet(X1,X0) != zero
| complement(X1) = X0 ),
inference(superposition,[],[f11,f6]) ).
fof(f35,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f36,plain,
b = join(b,a),
inference(superposition,[],[f4,f14]) ).
fof(f37,plain,
! [X2,X0,X1] : join(X0,join(meet(X0,X1),X2)) = join(X0,X2),
inference(superposition,[],[f8,f4]) ).
fof(f47,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f6,f8]) ).
fof(f53,plain,
! [X0] : meet(X0,one) = X0,
inference(superposition,[],[f3,f9]) ).
fof(f60,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X1,X0),X2)),
inference(superposition,[],[f8,f35]) ).
fof(f65,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f7,f3]) ).
fof(f75,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f5,f7]) ).
fof(f81,plain,
! [X0,X1] : meet(X0,meet(complement(X0),X1)) = meet(zero,X1),
inference(superposition,[],[f7,f10]) ).
fof(f83,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f4,f10]) ).
fof(f89,plain,
! [X0] : one = join(one,X0),
inference(superposition,[],[f35,f53]) ).
fof(f91,plain,
! [X0] : meet(one,X0) = X0,
inference(superposition,[],[f5,f53]) ).
fof(f111,plain,
! [X0] : one = join(X0,one),
inference(superposition,[],[f6,f89]) ).
fof(f123,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f6,f83]) ).
fof(f136,plain,
! [X0] : zero = meet(zero,X0),
inference(superposition,[],[f4,f123]) ).
fof(f141,plain,
! [X0,X1] : zero = meet(X0,meet(complement(X0),X1)),
inference(backward_demodulation,[],[f81,f136]) ).
fof(f167,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X1,X0),X2)),
inference(superposition,[],[f7,f30]) ).
fof(f182,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X2,join(X0,complement(X2))))) = meet(X0,join(X1,meet(X2,join(X0,zero)))),
inference(superposition,[],[f12,f10]) ).
fof(f199,plain,
! [X2,X3,X0,X1] : meet(X1,join(X3,meet(X0,join(X1,X2)))) = meet(X1,join(meet(X0,join(X1,meet(X0,X2))),X3)),
inference(superposition,[],[f12,f6]) ).
fof(f230,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X2,X0))) = meet(X0,join(X1,meet(X2,join(X0,complement(X2))))),
inference(forward_demodulation,[],[f182,f83]) ).
fof(f251,plain,
! [X2,X0,X1] : meet(X1,join(X2,meet(X0,X1))) = meet(X1,join(X2,meet(X0,join(complement(X0),X1)))),
inference(superposition,[],[f230,f6]) ).
fof(f781,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(X1,X2))),
inference(superposition,[],[f65,f5]) ).
fof(f1684,plain,
! [X2,X0,X1] : join(X1,X0) = join(X1,join(X0,meet(X1,X2))),
inference(superposition,[],[f37,f6]) ).
fof(f1689,plain,
! [X0,X1] : join(X0,one) = join(X0,complement(meet(X0,X1))),
inference(superposition,[],[f37,f9]) ).
fof(f1717,plain,
! [X0,X1] : one = join(X0,complement(meet(X0,X1))),
inference(forward_demodulation,[],[f1689,f111]) ).
fof(f2366,plain,
! [X2,X0,X1] : meet(X1,join(X2,meet(X0,join(X1,X0)))) = meet(X1,join(meet(X0,join(X1,X0)),X2)),
inference(superposition,[],[f199,f1]) ).
fof(f2381,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X2,join(X0,complement(X2))))) = meet(X0,join(meet(X2,join(X0,zero)),X1)),
inference(superposition,[],[f199,f10]) ).
fof(f2535,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X2,join(X0,complement(X2))))) = meet(X0,join(meet(X2,X0),X1)),
inference(forward_demodulation,[],[f2381,f83]) ).
fof(f2548,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = meet(X1,join(X0,X2)),
inference(forward_demodulation,[],[f2366,f30]) ).
fof(f2647,plain,
! [X0,X1] : meet(X1,meet(X0,join(X1,complement(X0)))) = meet(X1,join(meet(X0,X1),zero)),
inference(superposition,[],[f2535,f123]) ).
fof(f2696,plain,
! [X0,X1] : meet(X1,join(zero,meet(X0,X1))) = meet(X1,meet(X0,join(X1,complement(X0)))),
inference(forward_demodulation,[],[f2647,f2548]) ).
fof(f2720,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,join(zero,meet(X0,X1))),
inference(forward_demodulation,[],[f2696,f781]) ).
fof(f2734,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,meet(X0,X1)),
inference(forward_demodulation,[],[f2720,f123]) ).
fof(f2747,plain,
! [X2,X0,X1] : meet(meet(join(X0,X2),X1),X0) = meet(meet(join(X0,X2),X1),meet(X0,X1)),
inference(superposition,[],[f2734,f65]) ).
fof(f2778,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(meet(X1,X0),X2)),
inference(superposition,[],[f7,f2734]) ).
fof(f2801,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,meet(X0,X2))),
inference(forward_demodulation,[],[f2778,f7]) ).
fof(f2824,plain,
! [X2,X0,X1] : meet(meet(join(X0,X2),X1),X0) = meet(meet(X0,X1),meet(join(X0,X2),X1)),
inference(forward_demodulation,[],[f2747,f5]) ).
fof(f2828,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X0,meet(X1,meet(X0,X2))),
inference(forward_demodulation,[],[f2801,f7]) ).
fof(f2847,plain,
! [X2,X0,X1] : meet(meet(join(X0,X2),X1),X0) = meet(X1,meet(meet(X0,X1),join(X0,X2))),
inference(forward_demodulation,[],[f2824,f75]) ).
fof(f2863,plain,
! [X2,X0,X1] : meet(meet(join(X0,X2),X1),X0) = meet(X1,meet(X0,meet(X1,join(X0,X2)))),
inference(forward_demodulation,[],[f2847,f7]) ).
fof(f2872,plain,
! [X2,X0,X1] : meet(meet(join(X0,X2),X1),X0) = meet(X1,meet(X0,join(X0,X2))),
inference(forward_demodulation,[],[f2863,f2828]) ).
fof(f2873,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(meet(join(X0,X2),X1),X0),
inference(forward_demodulation,[],[f2872,f3]) ).
fof(f2874,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X0,meet(join(X0,X2),X1)),
inference(forward_demodulation,[],[f2873,f5]) ).
fof(f3252,plain,
! [X2,X0,X1] : join(meet(X1,X0),X2) = join(meet(X1,X0),join(meet(X0,X1),X2)),
inference(superposition,[],[f60,f2734]) ).
fof(f3572,plain,
! [X2,X0,X1] : meet(X2,X0) = meet(X2,meet(X0,join(X1,X2))),
inference(superposition,[],[f167,f5]) ).
fof(f3929,plain,
! [X2,X0,X1] : meet(complement(meet(complement(X0),X1)),join(X2,meet(X0,one))) = meet(complement(meet(complement(X0),X1)),join(X2,meet(X0,complement(meet(complement(X0),X1))))),
inference(superposition,[],[f251,f1717]) ).
fof(f4038,plain,
! [X2,X0,X1] : meet(complement(meet(complement(X0),X1)),join(X2,X0)) = meet(complement(meet(complement(X0),X1)),join(X2,meet(X0,complement(meet(complement(X0),X1))))),
inference(forward_demodulation,[],[f3929,f53]) ).
fof(f4171,plain,
! [X2,X0,X1] : join(X2,meet(X0,complement(meet(complement(X0),X1)))) = join(join(X2,meet(X0,complement(meet(complement(X0),X1)))),meet(complement(meet(complement(X0),X1)),join(X2,X0))),
inference(superposition,[],[f35,f4038]) ).
fof(f4188,plain,
! [X2,X0,X1] : join(X2,meet(X0,complement(meet(complement(X0),X1)))) = join(X2,join(meet(X0,complement(meet(complement(X0),X1))),meet(complement(meet(complement(X0),X1)),join(X2,X0)))),
inference(forward_demodulation,[],[f4171,f8]) ).
fof(f5041,plain,
! [X0] :
( one != one
| zero != meet(complement(X0),X0)
| complement(complement(X0)) = X0 ),
inference(superposition,[],[f33,f9]) ).
fof(f5057,plain,
! [X0] :
( zero != meet(complement(X0),X0)
| complement(complement(X0)) = X0 ),
inference(trivial_inequality_removal,[],[f5041]) ).
fof(f5067,plain,
! [X0] :
( meet(X0,complement(X0)) != zero
| complement(complement(X0)) = X0 ),
inference(forward_demodulation,[],[f5057,f5]) ).
fof(f5077,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_subsumption_resolution,[],[f5067,f10]) ).
fof(f8675,plain,
! [X2,X0,X1] : join(meet(meet(X1,X0),X0),X2) = join(meet(meet(X1,X0),X0),join(meet(X0,X1),X2)),
inference(superposition,[],[f3252,f2734]) ).
fof(f8732,plain,
! [X2,X3,X0,X1] : join(meet(X1,X0),join(meet(X0,X1),X2)) = join(meet(X1,X0),join(X2,meet(meet(X0,X1),X3))),
inference(superposition,[],[f3252,f1684]) ).
fof(f8815,plain,
! [X2,X3,X0,X1] : join(meet(X1,X0),join(meet(X0,X1),X2)) = join(meet(X1,X0),join(X2,meet(X0,meet(X1,X3)))),
inference(forward_demodulation,[],[f8732,f7]) ).
fof(f8858,plain,
! [X2,X0,X1] : join(meet(meet(X1,X0),X0),X2) = join(meet(X0,X1),join(X2,meet(meet(X1,X0),X0))),
inference(forward_demodulation,[],[f8675,f47]) ).
fof(f8911,plain,
! [X2,X3,X0,X1] : join(meet(X1,X0),X2) = join(meet(X1,X0),join(X2,meet(X0,meet(X1,X3)))),
inference(forward_demodulation,[],[f8815,f3252]) ).
fof(f8947,plain,
! [X2,X0,X1] : join(meet(X1,meet(X0,X0)),X2) = join(meet(X0,X1),join(X2,meet(X1,meet(X0,X0)))),
inference(forward_demodulation,[],[f8858,f7]) ).
fof(f9001,plain,
! [X2,X0,X1] : join(meet(X0,X1),X2) = join(meet(X1,meet(X0,X0)),X2),
inference(forward_demodulation,[],[f8947,f8911]) ).
fof(f9010,plain,
! [X2,X0,X1] : join(meet(X0,X1),X2) = join(meet(X1,X0),X2),
inference(forward_demodulation,[],[f9001,f1]) ).
fof(f9228,plain,
! [X2,X3,X0,X1] : join(X2,meet(X1,X0)) = join(X2,join(meet(X0,X1),meet(X2,X3))),
inference(superposition,[],[f1684,f9010]) ).
fof(f9294,plain,
! [X2,X0,X1] : join(X2,meet(X0,X1)) = join(X2,meet(X1,X0)),
inference(forward_demodulation,[],[f9228,f1684]) ).
fof(f15723,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = join(meet(X1,join(X2,X0)),meet(X0,X1)),
inference(superposition,[],[f35,f3572]) ).
fof(f15796,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = join(meet(X0,X1),meet(X1,join(X2,X0))),
inference(forward_demodulation,[],[f15723,f6]) ).
fof(f15867,plain,
! [X2,X0,X1] : join(X2,meet(X0,complement(meet(complement(X0),X1)))) = join(X2,meet(complement(meet(complement(X0),X1)),join(X2,X0))),
inference(backward_demodulation,[],[f4188,f15796]) ).
fof(f17988,plain,
! [X0,X1] : join(X0,meet(complement(X0),complement(meet(complement(complement(X0)),X1)))) = join(X0,meet(complement(meet(complement(complement(X0)),X1)),one)),
inference(superposition,[],[f15867,f9]) ).
fof(f18165,plain,
! [X0,X1] : join(X0,meet(complement(X0),complement(meet(complement(complement(X0)),X1)))) = join(X0,meet(one,complement(meet(complement(complement(X0)),X1)))),
inference(forward_demodulation,[],[f17988,f9294]) ).
fof(f18235,plain,
! [X0,X1] : join(X0,meet(complement(X0),complement(meet(complement(complement(X0)),X1)))) = join(X0,complement(meet(complement(complement(X0)),X1))),
inference(forward_demodulation,[],[f18165,f91]) ).
fof(f18266,plain,
! [X0,X1] : join(X0,complement(meet(X0,X1))) = join(X0,meet(complement(X0),complement(meet(X0,X1)))),
inference(forward_demodulation,[],[f18235,f5077]) ).
fof(f18280,plain,
! [X0,X1] : one = join(X0,meet(complement(X0),complement(meet(X0,X1)))),
inference(forward_demodulation,[],[f18266,f1717]) ).
fof(f18380,plain,
! [X0,X1] :
( one != one
| zero != meet(X0,meet(complement(X0),complement(meet(X0,X1))))
| complement(X0) = meet(complement(X0),complement(meet(X0,X1))) ),
inference(superposition,[],[f11,f18280]) ).
fof(f18435,plain,
! [X0,X1] :
( zero != meet(X0,meet(complement(X0),complement(meet(X0,X1))))
| complement(X0) = meet(complement(X0),complement(meet(X0,X1))) ),
inference(trivial_inequality_removal,[],[f18380]) ).
fof(f18481,plain,
! [X0,X1] : complement(X0) = meet(complement(X0),complement(meet(X0,X1))),
inference(forward_subsumption_resolution,[],[f18435,f141]) ).
fof(f18678,plain,
! [X0,X1] : complement(X1) = meet(complement(X1),complement(meet(X0,X1))),
inference(superposition,[],[f18481,f2874]) ).
fof(f19019,plain,
! [X0,X1] : complement(meet(X1,X0)) = join(complement(meet(X1,X0)),complement(X0)),
inference(superposition,[],[f35,f18678]) ).
fof(f19060,plain,
! [X0,X1] : complement(meet(X1,X0)) = join(complement(X0),complement(meet(X1,X0))),
inference(forward_demodulation,[],[f19019,f6]) ).
fof(f19155,plain,
! [X0,X1] : complement(X0) = join(complement(join(X1,X0)),complement(X0)),
inference(superposition,[],[f19060,f30]) ).
fof(f19290,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f19155,f6]) ).
fof(f19419,plain,
complement(a) = join(complement(a),complement(b)),
inference(superposition,[],[f19290,f36]) ).
fof(f19487,plain,
complement(a) = join(complement(b),complement(a)),
inference(forward_demodulation,[],[f19419,f6]) ).
fof(f19521,plain,
complement(a) = sF2,
inference(backward_demodulation,[],[f26,f19487]) ).
fof(f19535,plain,
$false,
inference(forward_subsumption_resolution,[],[f19521,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT218-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.44 % Computer : n013.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 27 14:05:51 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 16.43/3.40 % (260059)Input is clausal, will run a generic CNF schedule.
% 16.43/3.40 % (260066)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4107168891:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 16.43/3.40 % (260064)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=534633611:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 16.43/3.40 % (260067)lrs+10_1_sil=8000:sp=occurrence:random_seed=2368319194:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 16.43/3.40 % (260065)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3656392044:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 16.43/3.40 % (260070)dis-21_1_sil=8000:lcm=predicate:random_seed=2432543161:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 16.43/3.40 % (260068)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1441118434:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 16.43/3.40 % (260070)Refutation not found, incomplete strategy
% 16.43/3.40 % (260070)------------------------------
% 16.43/3.40 % (260070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.43/3.40 % (260070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.43/3.40 % (260070)CaDiCaL version: 2.1.3
% 16.43/3.40 % (260070)Termination reason: Refutation not found, incomplete strategy
% 16.43/3.40 % (260070)Time elapsed: 0.003 s
% 16.43/3.40 % (260070)Peak memory usage: 88 MB
% 16.43/3.40 % (260070)Instructions burned: 1 (million)
% 16.43/3.40 % (260069)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1498365603:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 16.43/3.40 % (260067)Instruction limit reached!
% 16.43/3.40 % (260067)------------------------------
% 16.43/3.40 % (260067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.43/3.40 % (260067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.43/3.40 % (260067)CaDiCaL version: 2.1.3
% 16.43/3.40 % (260067)Termination reason: Instruction limit
% 16.43/3.40 % (260067)Termination phase: Saturation
% 16.43/3.40 % (260067)Time elapsed: 0.104 s
% 16.43/3.40 % (260067)Peak memory usage: 89 MB
% 16.43/3.40 % (260067)Instructions burned: 107 (million)
% 16.43/3.40 % (260068)Instruction limit reached!
% 16.43/3.40 % (260068)------------------------------
% 16.43/3.40 % (260068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.43/3.40 % (260068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.43/3.40 % (260068)CaDiCaL version: 2.1.3
% 16.43/3.40 % (260068)Termination reason: Instruction limit
% 16.43/3.40 % (260068)Termination phase: Saturation
% 16.43/3.40 % (260068)Time elapsed: 0.115 s
% 16.43/3.40 % (260068)Peak memory usage: 89 MB
% 16.43/3.40 % (260068)Instructions burned: 115 (million)
% 16.43/3.40 % (260069)Instruction limit reached!
% 16.43/3.40 % (260069)------------------------------
% 16.43/3.40 % (260069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.43/3.40 % (260069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.43/3.40 % (260069)CaDiCaL version: 2.1.3
% 16.43/3.40 % (260069)Termination reason: Instruction limit
% 16.43/3.40 % (260069)Termination phase: Saturation
% 16.43/3.40 % (260069)Time elapsed: 0.163 s
% 16.43/3.40 % (260069)Peak memory usage: 90 MB
% 16.43/3.40 % (260069)Instructions burned: 180 (million)
% 16.43/3.40 % (260078)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=260933933:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 16.43/3.40 % (260078)Instruction limit reached!
% 16.43/3.40 % (260078)------------------------------
% 16.43/3.40 % (260078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.43/3.40 % (260078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.43/3.40 % (260078)CaDiCaL version: 2.1.3
% 16.43/3.40 % (260078)Termination reason: Instruction limit
% 16.43/3.40 % (260078)Termination phase: Saturation
% 16.43/3.40 % (260078)Time elapsed: 0.097 s
% 16.43/3.40 % (260078)Peak memory usage: 90 MB
% 16.43/3.40 % (260078)Instructions burned: 143 (million)
% 16.43/3.40 % (260070)------------------------------
% 16.43/3.40 % (260070)------------------------------
% 16.43/3.40 % (260079)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2350958324:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 16.43/3.40 % (260080)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1774947329:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 16.43/3.40 % (260082)lrs+10_64_to=lpo:sil=8000:random_seed=3247455702:i=126:bd=preordered_2993 on theBenchmark for (2993ds/126Mi)
% 16.43/3.40 % (260079)Instruction limit reached!
% 16.43/3.40 % (260079)------------------------------
% 16.43/3.40 % (260079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.43/3.40 % (260079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.43/3.40 % (260079)CaDiCaL version: 2.1.3
% 16.43/3.40 % (260079)Termination reason: Instruction limit
% 16.43/3.40 % (260079)Termination phase: Saturation
% 16.43/3.40 % (260079)Time elapsed: 0.205 s
% 16.43/3.40 % (260079)Peak memory usage: 90 MB
% 16.43/3.40 % (260079)Instructions burned: 189 (million)
% 16.43/3.40 % (260082)Instruction limit reached!
% 16.43/3.40 % (260082)------------------------------
% 16.43/3.40 % (260082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.43/3.40 % (260082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.43/3.40 % (260082)CaDiCaL version: 2.1.3
% 16.43/3.40 % (260082)Termination reason: Instruction limit
% 16.43/3.40 % (260082)Termination phase: Saturation
% 16.43/3.40 % (260082)Time elapsed: 0.084 s
% 16.43/3.40 % (260082)Peak memory usage: 88 MB
% 16.43/3.40 % (260082)Instructions burned: 126 (million)
% 16.43/3.40 % (260084)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2979140608:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 16.43/3.40 % (260080)Instruction limit reached!
% 16.43/3.40 % (260080)------------------------------
% 16.43/3.40 % (260080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.43/3.40 % (260080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.43/3.40 % (260080)CaDiCaL version: 2.1.3
% 16.43/3.40 % (260080)Termination reason: Instruction limit
% 16.43/3.40 % (260080)Termination phase: Saturation
% 16.43/3.40 % (260080)Time elapsed: 0.205 s
% 16.43/3.40 % (260080)Peak memory usage: 90 MB
% 16.43/3.40 % (260080)Instructions burned: 219 (million)
% 16.43/3.40 % (260088)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2388495217:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 16.43/3.40 % (260087)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2278008043:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 16.43/3.40 % (260084)Instruction limit reached!
% 16.43/3.40 % (260084)------------------------------
% 16.43/3.40 % (260084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.43/3.40 % (260084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.43/3.40 % (260084)CaDiCaL version: 2.1.3
% 16.43/3.40 % (260084)Termination reason: Instruction limit
% 16.43/3.40 % (260084)Termination phase: Saturation
% 16.43/3.40 % (260084)Time elapsed: 0.198 s
% 16.43/3.40 % (260084)Peak memory usage: 90 MB
% 16.43/3.40 % (260084)Instructions burned: 194 (million)
% 16.43/3.40 % (260090)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=563614185:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2990 on theBenchmark for (2990ds/106Mi)
% 16.43/3.40 % (260087)Instruction limit reached!
% 16.43/3.40 % (260087)------------------------------
% 16.43/3.40 % (260087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.43/3.40 % (260087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.43/3.40 % (260087)CaDiCaL version: 2.1.3
% 16.43/3.40 % (260087)Termination reason: Instruction limit
% 16.43/3.40 % (260087)Termination phase: Saturation
% 16.43/3.40 % (260087)Time elapsed: 0.161 s
% 16.43/3.40 % (260087)Peak memory usage: 90 MB
% 16.43/3.40 % (260087)Instructions burned: 158 (million)
% 16.43/3.40 % (260090)Instruction limit reached!
% 16.43/3.40 % (260090)------------------------------
% 16.43/3.40 % (260090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.43/3.40 % (260090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.43/3.40 % (260090)CaDiCaL version: 2.1.3
% 16.43/3.40 % (260090)Termination reason: Instruction limit
% 16.43/3.40 % (260090)Termination phase: Saturation
% 16.43/3.40 % (260090)Time elapsed: 0.115 s
% 16.43/3.40 % (260090)Peak memory usage: 89 MB
% 16.43/3.40 % (260090)Instructions burned: 107 (million)
% 16.43/3.40 % (260093)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1191012605:i=107_2988 on theBenchmark for (2988ds/107Mi)
% 16.43/3.40 % (260095)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3989330513:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2986 on theBenchmark for (2986ds/242Mi)
% 16.43/3.40 % (260093)Instruction limit reached!
% 16.43/3.40 % (260093)------------------------------
% 16.43/3.40 % (260093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.43/3.40 % (260093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.43/3.40 % (260093)CaDiCaL version: 2.1.3
% 16.43/3.40 % (260093)Termination reason: Instruction limit
% 16.43/3.40 % (260093)Termination phase: Saturation
% 16.43/3.40 % (260093)Time elapsed: 0.108 s
% 16.43/3.40 % (260093)Peak memory usage: 88 MB
% 16.43/3.40 % (260093)Instructions burned: 108 (million)
% 16.43/3.40 % (260096)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=541429435:cond=fast:i=5208:av=off_2985 on theBenchmark for (2985ds/5208Mi)
% 16.43/3.40 % (260095)Instruction limit reached!
% 16.43/3.40 % (260095)------------------------------
% 16.43/3.40 % (260095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.43/3.40 % (260095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.43/3.40 % (260095)CaDiCaL version: 2.1.3
% 16.43/3.40 % (260095)Termination reason: Instruction limit
% 16.43/3.40 % (260095)Termination phase: Saturation
% 16.43/3.40 % (260095)Time elapsed: 0.230 s
% 16.43/3.40 % (260095)Peak memory usage: 89 MB
% 16.43/3.40 % (260095)Instructions burned: 242 (million)
% 16.43/3.40 % (260099)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1082687433:i=134:sd=2:doe=on:ss=axioms:sgt=14_2983 on theBenchmark for (2983ds/134Mi)
% 16.43/3.40 % (260099)Instruction limit reached!
% 16.43/3.40 % (260099)------------------------------
% 16.43/3.40 % (260099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.43/3.40 % (260099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.43/3.40 % (260099)CaDiCaL version: 2.1.3
% 16.43/3.40 % (260099)Termination reason: Instruction limit
% 16.43/3.40 % (260099)Termination phase: Saturation
% 16.43/3.40 % (260099)Time elapsed: 0.131 s
% 16.43/3.40 % (260099)Peak memory usage: 90 MB
% 16.43/3.40 % (260099)Instructions burned: 134 (million)
% 16.43/3.40 % (260101)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=634767165:i=499:bd=all_2982 on theBenchmark for (2982ds/499Mi)
% 16.43/3.40 % (260066)First to succeed.
% 16.43/3.40 % (260066)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-260059"
% 16.43/3.40 % (260103)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1007056407:i=191:fgj=on:bd=all_2979 on theBenchmark for (2979ds/191Mi)
% 16.43/3.40 % (260065)Also succeeded, but the first one will report.
% 16.43/3.40 % (260066)Refutation found. Thanks to Tanya!
% 16.43/3.40 % SZS status Unsatisfiable for theBenchmark
% 16.43/3.40 % SZS output start Proof for theBenchmark
% See solution above
% 17.59/3.68 % (260066)------------------------------
% 17.59/3.68 % (260066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.59/3.68 % (260066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.59/3.68 % (260066)CaDiCaL version: 2.1.3
% 17.59/3.68 % (260066)Termination reason: Refutation
% 17.59/3.68 % (260066)Time elapsed: 1.921 s
% 17.59/3.68 % (260066)Peak memory usage: 149 MB
% 17.59/3.68 % (260066)Instructions burned: 3279 (million)
% 17.59/3.68 % (260066)------------------------------
% 17.59/3.68 % (260066)------------------------------
% 17.59/3.68 % (260059)Success in time 2.394 s
% 17.59/3.68 % Vampire exiting
%------------------------------------------------------------------------------