%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT205-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 11:46:15 AM UTC 2026
% Result : Unsatisfiable 55.47s 16.73s
% Output : Refutation 113.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 12
% Syntax : Number of formulae : 204 ( 185 unt; 1 def)
% Number of atoms : 228 ( 221 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 54 ( 30 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 497 ( 497 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f9,axiom,
! [X0] : join(X0,complement(X0)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_join) ).
fof(f10,axiom,
! [X0] : meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_meet) ).
fof(f11,axiom,
! [X0,X1] :
( meet(X0,X1) != zero
| join(X0,X1) != one
| complement(X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_join_complement) ).
fof(f12,axiom,
! [X2,X3,X0,X1] : meet(X0,meet(join(X1,X2),join(X1,X3))) = meet(X0,join(X1,meet(join(X1,X3),join(X2,meet(X0,X1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H59) ).
fof(f13,negated_conjecture,
meet(a,join(b,c)) != join(meet(a,b),meet(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity) ).
fof(f14,definition,
~ sP0(join(meet(a,b),meet(a,c))),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f15,plain,
sP0(meet(a,join(b,c))),
inference(inequality_splitting,[],[f13,f14]) ).
fof(f19,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f20,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(superposition,[],[f19,f3]) ).
fof(f24,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(forward_demodulation,[],[f20,f6]) ).
fof(f26,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f27,plain,
! [X2,X0,X1] : meet(X0,meet(join(X0,X1),X2)) = meet(X0,X2),
inference(superposition,[],[f7,f3]) ).
fof(f29,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
inference(superposition,[],[f7,f5]) ).
fof(f36,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f5,f7]) ).
fof(f44,plain,
! [X2,X3,X0,X1] : meet(X2,meet(join(X1,X3),join(X0,X1))) = meet(X2,join(X1,meet(join(X0,X1),join(X3,meet(X2,X1))))),
inference(superposition,[],[f12,f6]) ).
fof(f48,plain,
! [X2,X3,X0,X1] : meet(X1,meet(join(X0,X2),join(X0,X3))) = meet(X1,join(X0,meet(join(X0,X3),join(X2,meet(X0,X1))))),
inference(superposition,[],[f12,f5]) ).
fof(f50,plain,
! [X2,X0,X1] : meet(X0,meet(join(X1,X0),join(X1,X2))) = meet(X0,join(X1,meet(join(X1,X2),X0))),
inference(superposition,[],[f12,f4]) ).
fof(f53,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(X1,X2),join(X1,X3))) = meet(X0,join(X1,meet(join(X1,X3),join(meet(X0,X1),X2)))),
inference(superposition,[],[f12,f6]) ).
fof(f56,plain,
! [X2,X3,X0,X1] : meet(X1,meet(join(X2,X0),join(X2,X3))) = meet(X1,join(X2,meet(join(X0,meet(X1,X2)),join(X2,X3)))),
inference(superposition,[],[f12,f5]) ).
fof(f90,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(superposition,[],[f26,f4]) ).
fof(f91,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(superposition,[],[f26,f19]) ).
fof(f96,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X1,X0),X2)),
inference(superposition,[],[f7,f26]) ).
fof(f101,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(join(X1,X2),X0))) = meet(X0,join(X1,X2)),
inference(backward_demodulation,[],[f50,f96]) ).
fof(f103,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
inference(forward_demodulation,[],[f91,f5]) ).
fof(f104,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(forward_demodulation,[],[f90,f5]) ).
fof(f107,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f8,f4]) ).
fof(f108,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X1,X0),X2)),
inference(superposition,[],[f8,f19]) ).
fof(f119,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f6,f8]) ).
fof(f120,plain,
! [X2,X0,X1] : join(X0,X1) = meet(join(X0,X1),join(X0,join(X1,X2))),
inference(superposition,[],[f3,f8]) ).
fof(f144,plain,
! [X2,X0,X1] : join(meet(X0,X2),X1) = meet(join(meet(X0,X2),X1),join(X0,X1)),
inference(superposition,[],[f26,f107]) ).
fof(f149,plain,
! [X2,X0,X1] : join(meet(X0,X2),X1) = meet(join(X0,X1),join(meet(X0,X2),X1)),
inference(forward_demodulation,[],[f144,f5]) ).
fof(f172,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(one,X1),
inference(superposition,[],[f8,f9]) ).
fof(f175,plain,
! [X0] : meet(X0,one) = X0,
inference(superposition,[],[f3,f9]) ).
fof(f177,plain,
! [X0,X1] : one = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f8,f9]) ).
fof(f183,plain,
! [X0,X1] :
( join(X1,X0) != one
| meet(X0,X1) != zero
| complement(X1) = X0 ),
inference(superposition,[],[f11,f5]) ).
fof(f188,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f4,f10]) ).
fof(f189,plain,
! [X0,X1] : meet(X0,meet(complement(X0),X1)) = meet(zero,X1),
inference(superposition,[],[f7,f10]) ).
fof(f190,plain,
! [X2,X0,X1] : meet(X0,meet(join(complement(X0),X1),join(complement(X0),X2))) = meet(X0,join(complement(X0),meet(join(complement(X0),X2),join(X1,zero)))),
inference(superposition,[],[f12,f10]) ).
fof(f193,plain,
! [X0,X1] : zero = meet(X0,meet(X1,complement(meet(X0,X1)))),
inference(superposition,[],[f7,f10]) ).
fof(f195,plain,
! [X2,X0,X1] : meet(X0,meet(join(complement(X0),X1),join(complement(X0),X2))) = meet(X0,join(complement(X0),meet(join(complement(X0),X2),X1))),
inference(backward_demodulation,[],[f190,f188]) ).
fof(f208,plain,
! [X0,X1] :
( zero != zero
| one != join(X0,meet(X1,complement(meet(X0,X1))))
| complement(X0) = meet(X1,complement(meet(X0,X1))) ),
inference(superposition,[],[f11,f193]) ).
fof(f213,plain,
! [X0,X1] :
( one != join(X0,meet(X1,complement(meet(X0,X1))))
| complement(X0) = meet(X1,complement(meet(X0,X1))) ),
inference(trivial_inequality_removal,[],[f208]) ).
fof(f251,plain,
! [X0] : zero = meet(X0,zero),
inference(superposition,[],[f104,f10]) ).
fof(f284,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(X1,X2))),
inference(superposition,[],[f27,f5]) ).
fof(f290,plain,
! [X0,X1] : meet(X0,zero) = meet(X0,complement(join(X0,X1))),
inference(superposition,[],[f27,f10]) ).
fof(f310,plain,
! [X0,X1] : zero = meet(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f290,f251]) ).
fof(f339,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X1,meet(meet(X0,X1),X2)),
inference(superposition,[],[f7,f103]) ).
fof(f350,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,meet(X1,X2))),
inference(forward_demodulation,[],[f339,f7]) ).
fof(f368,plain,
! [X2,X0,X1] : meet(X1,X2) = meet(X1,meet(X2,join(X0,X1))),
inference(superposition,[],[f284,f6]) ).
fof(f468,plain,
! [X0] : zero = meet(zero,X0),
inference(superposition,[],[f5,f251]) ).
fof(f486,plain,
! [X0,X1] : zero = meet(X0,meet(complement(X0),X1)),
inference(backward_demodulation,[],[f189,f468]) ).
fof(f497,plain,
! [X0] : one = join(one,X0),
inference(superposition,[],[f19,f175]) ).
fof(f498,plain,
! [X0] : meet(one,X0) = X0,
inference(superposition,[],[f103,f175]) ).
fof(f509,plain,
! [X0,X1] : one = join(X0,join(complement(X0),X1)),
inference(backward_demodulation,[],[f172,f497]) ).
fof(f619,plain,
! [X2,X0,X1] : join(X0,meet(join(X0,X1),join(X2,meet(one,X0)))) = meet(one,meet(join(X0,X2),join(X0,X1))),
inference(superposition,[],[f12,f498]) ).
fof(f626,plain,
! [X2,X0,X1] : meet(join(X0,X2),join(X0,X1)) = join(X0,meet(join(X0,X1),join(X2,meet(one,X0)))),
inference(forward_demodulation,[],[f619,f498]) ).
fof(f636,plain,
! [X2,X0,X1] : meet(join(X0,X2),join(X0,X1)) = join(X0,meet(join(X0,X1),join(X2,X0))),
inference(forward_demodulation,[],[f626,f498]) ).
fof(f686,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f6,f188]) ).
fof(f725,plain,
one = complement(zero),
inference(superposition,[],[f9,f686]) ).
fof(f749,plain,
! [X0,X1] :
( one != join(X1,meet(X0,complement(meet(X0,X1))))
| complement(X1) = meet(X0,complement(meet(X0,X1))) ),
inference(superposition,[],[f213,f5]) ).
fof(f1325,plain,
! [X2,X3,X0,X1] : meet(X0,meet(X1,meet(X2,X3))) = meet(X2,meet(X3,meet(X0,X1))),
inference(superposition,[],[f7,f36]) ).
fof(f1458,plain,
! [X2,X0,X1] : meet(X0,meet(join(complement(X0),X1),join(X2,complement(X0)))) = meet(X0,join(complement(X0),meet(join(X2,complement(X0)),join(X1,zero)))),
inference(superposition,[],[f44,f10]) ).
fof(f1464,plain,
! [X2,X0,X1] : meet(X0,meet(join(X1,X0),join(X2,X1))) = meet(X0,join(X1,meet(join(X2,X1),X0))),
inference(superposition,[],[f44,f4]) ).
fof(f1530,plain,
! [X2,X0,X1] : meet(X0,join(X2,X1)) = meet(X0,join(X1,meet(join(X2,X1),X0))),
inference(forward_demodulation,[],[f1464,f96]) ).
fof(f1536,plain,
! [X2,X0,X1] : meet(X0,meet(join(complement(X0),X1),join(X2,complement(X0)))) = meet(X0,join(complement(X0),meet(join(X2,complement(X0)),X1))),
inference(forward_demodulation,[],[f1458,f188]) ).
fof(f1659,plain,
! [X2,X0,X1] : meet(complement(X0),meet(join(X0,X1),join(X0,X2))) = meet(complement(X0),join(X0,meet(join(X0,X2),join(X1,zero)))),
inference(superposition,[],[f48,f10]) ).
fof(f1746,plain,
! [X2,X0,X1] : meet(complement(X0),meet(join(X0,X1),join(X0,X2))) = meet(complement(X0),join(X0,meet(join(X0,X2),X1))),
inference(forward_demodulation,[],[f1659,f188]) ).
fof(f1859,plain,
! [X2,X0,X1] : meet(complement(X1),meet(join(X1,X2),join(X0,X1))) = meet(complement(X1),join(X1,meet(join(X0,X1),X2))),
inference(superposition,[],[f1746,f6]) ).
fof(f1876,plain,
! [X2,X0,X1] : meet(complement(X1),meet(join(X1,X0),join(X1,X2))) = meet(complement(X1),join(X1,meet(X0,join(X1,X2)))),
inference(superposition,[],[f1746,f5]) ).
fof(f1891,plain,
! [X0,X1] : meet(complement(X0),join(X0,zero)) = meet(complement(X0),meet(join(X0,complement(join(X0,X1))),join(X0,X1))),
inference(superposition,[],[f1746,f10]) ).
fof(f1944,plain,
! [X0,X1] : meet(complement(X0),join(X0,zero)) = meet(complement(X0),meet(join(X0,X1),join(X0,complement(join(X0,X1))))),
inference(forward_demodulation,[],[f1891,f5]) ).
fof(f1987,plain,
! [X0,X1] : meet(complement(X0),X0) = meet(complement(X0),meet(join(X0,X1),join(X0,complement(join(X0,X1))))),
inference(forward_demodulation,[],[f1944,f188]) ).
fof(f2022,plain,
! [X0,X1] : meet(X0,complement(X0)) = meet(complement(X0),meet(join(X0,X1),join(X0,complement(join(X0,X1))))),
inference(forward_demodulation,[],[f1987,f5]) ).
fof(f2038,plain,
! [X0,X1] : zero = meet(complement(X0),meet(join(X0,X1),join(X0,complement(join(X0,X1))))),
inference(forward_demodulation,[],[f2022,f10]) ).
fof(f2070,plain,
! [X2,X3,X0,X1] : meet(complement(X0),meet(join(meet(join(X0,X1),join(X0,complement(join(X0,X1)))),X2),join(meet(join(X0,X1),join(X0,complement(join(X0,X1)))),X3))) = meet(complement(X0),join(meet(join(X0,X1),join(X0,complement(join(X0,X1)))),meet(join(meet(join(X0,X1),join(X0,complement(join(X0,X1)))),X3),join(X2,zero)))),
inference(superposition,[],[f12,f2038]) ).
fof(f2097,plain,
! [X2,X3,X0,X1] : meet(complement(X0),meet(join(meet(join(X0,X1),join(X0,complement(join(X0,X1)))),X2),join(meet(join(X0,X1),join(X0,complement(join(X0,X1)))),X3))) = meet(complement(X0),join(meet(join(X0,X1),join(X0,complement(join(X0,X1)))),meet(join(meet(join(X0,X1),join(X0,complement(join(X0,X1)))),X3),X2))),
inference(forward_demodulation,[],[f2070,f188]) ).
fof(f2223,plain,
! [X2,X3,X0,X1] : meet(complement(X0),meet(join(meet(join(X0,X1),join(X0,complement(join(X0,X1)))),X2),join(meet(join(X0,X1),join(X0,complement(join(X0,X1)))),X3))) = meet(complement(X0),join(meet(join(X0,X1),join(X0,complement(join(X0,X1)))),meet(join(meet(join(X0,X1),join(X0,complement(join(X0,X1)))),X3),join(zero,X2)))),
inference(superposition,[],[f53,f2038]) ).
fof(f2327,plain,
! [X2,X3,X0,X1] : meet(complement(X0),meet(join(meet(join(X0,X1),join(X0,complement(join(X0,X1)))),X2),join(meet(join(X0,X1),join(X0,complement(join(X0,X1)))),X3))) = meet(complement(X0),meet(join(meet(join(X0,X1),join(X0,complement(join(X0,X1)))),join(zero,X2)),join(meet(join(X0,X1),join(X0,complement(join(X0,X1)))),X3))),
inference(forward_demodulation,[],[f2223,f2097]) ).
fof(f2392,plain,
! [X2,X3,X0,X1] : meet(complement(X0),meet(join(meet(join(X0,X1),join(X0,complement(join(X0,X1)))),X2),join(meet(join(X0,X1),join(X0,complement(join(X0,X1)))),X3))) = meet(complement(X0),meet(join(zero,join(X2,meet(join(X0,X1),join(X0,complement(join(X0,X1)))))),join(meet(join(X0,X1),join(X0,complement(join(X0,X1)))),X3))),
inference(forward_demodulation,[],[f2327,f119]) ).
fof(f2439,plain,
! [X2,X3,X0,X1] : meet(complement(X0),meet(join(meet(join(X0,X1),join(X0,complement(join(X0,X1)))),X2),join(meet(join(X0,X1),join(X0,complement(join(X0,X1)))),X3))) = meet(complement(X0),meet(join(X2,meet(join(X0,X1),join(X0,complement(join(X0,X1))))),join(meet(join(X0,X1),join(X0,complement(join(X0,X1)))),X3))),
inference(forward_demodulation,[],[f2392,f686]) ).
fof(f2508,plain,
! [X0,X1] : meet(X0,join(complement(X0),zero)) = meet(X0,meet(join(complement(X0),complement(join(complement(X0),X1))),join(complement(X0),X1))),
inference(superposition,[],[f195,f10]) ).
fof(f2577,plain,
! [X0,X1] : meet(X0,join(complement(X0),zero)) = meet(X0,meet(join(complement(X0),X1),join(complement(X0),complement(join(complement(X0),X1))))),
inference(forward_demodulation,[],[f2508,f5]) ).
fof(f2622,plain,
! [X0,X1] : meet(X0,join(zero,complement(X0))) = meet(X0,meet(join(complement(X0),X1),join(complement(X0),complement(join(complement(X0),X1))))),
inference(forward_demodulation,[],[f2577,f6]) ).
fof(f2660,plain,
! [X0,X1] : meet(X0,complement(X0)) = meet(X0,meet(join(complement(X0),X1),join(complement(X0),complement(join(complement(X0),X1))))),
inference(forward_demodulation,[],[f2622,f686]) ).
fof(f2677,plain,
! [X0,X1] : zero = meet(X0,meet(join(complement(X0),X1),join(complement(X0),complement(join(complement(X0),X1))))),
inference(forward_demodulation,[],[f2660,f10]) ).
fof(f2765,plain,
! [X2,X0,X1] : meet(one,meet(join(X0,X1),join(X0,X2))) = join(X0,meet(join(X1,meet(one,X0)),join(X0,X2))),
inference(superposition,[],[f498,f56]) ).
fof(f2807,plain,
! [X2,X0,X1] : meet(one,meet(join(X0,X1),join(X0,X2))) = join(X0,meet(join(X1,X0),join(X0,X2))),
inference(forward_demodulation,[],[f2765,f498]) ).
fof(f2881,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(join(X1,X0),join(X0,X2))),
inference(forward_demodulation,[],[f2807,f498]) ).
fof(f4239,plain,
! [X0,X1] :
( one != one
| zero != meet(join(X1,complement(join(X0,X1))),X0)
| complement(X0) = join(X1,complement(join(X0,X1))) ),
inference(superposition,[],[f183,f177]) ).
fof(f4261,plain,
! [X0,X1] :
( zero != meet(join(X1,complement(join(X0,X1))),X0)
| complement(X0) = join(X1,complement(join(X0,X1))) ),
inference(trivial_inequality_removal,[],[f4239]) ).
fof(f4273,plain,
! [X0,X1] :
( zero != meet(X0,join(X1,complement(join(X0,X1))))
| complement(X0) = join(X1,complement(join(X0,X1))) ),
inference(forward_demodulation,[],[f4261,f5]) ).
fof(f5111,plain,
! [X0] :
( one != join(complement(X0),meet(X0,complement(zero)))
| meet(X0,complement(zero)) = complement(complement(X0)) ),
inference(superposition,[],[f749,f10]) ).
fof(f5146,plain,
! [X0] :
( one != join(complement(X0),meet(X0,one))
| meet(X0,complement(zero)) = complement(complement(X0)) ),
inference(forward_demodulation,[],[f5111,f725]) ).
fof(f5173,plain,
! [X0] :
( one != join(complement(X0),X0)
| meet(X0,complement(zero)) = complement(complement(X0)) ),
inference(forward_demodulation,[],[f5146,f175]) ).
fof(f5186,plain,
! [X0] :
( join(X0,complement(X0)) != one
| meet(X0,complement(zero)) = complement(complement(X0)) ),
inference(forward_demodulation,[],[f5173,f6]) ).
fof(f5198,plain,
! [X0] : meet(X0,complement(zero)) = complement(complement(X0)),
inference(forward_subsumption_resolution,[],[f5186,f9]) ).
fof(f5208,plain,
! [X0] : meet(X0,one) = complement(complement(X0)),
inference(forward_demodulation,[],[f5198,f725]) ).
fof(f5216,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f5208,f175]) ).
fof(f6074,plain,
! [X2,X0,X1] : meet(meet(join(X2,complement(X0)),X1),X0) = meet(meet(join(X2,complement(X0)),X1),meet(X0,meet(join(complement(X0),X1),join(X2,complement(X0))))),
inference(superposition,[],[f368,f1536]) ).
fof(f6079,plain,
! [X2,X0,X1] : meet(meet(join(X0,X2),X1),complement(X0)) = meet(meet(join(X0,X2),X1),meet(complement(X0),meet(join(X0,X1),join(X0,X2)))),
inference(superposition,[],[f368,f1746]) ).
fof(f6170,plain,
! [X2,X0,X1] : meet(meet(join(X0,X2),X1),complement(X0)) = meet(complement(X0),meet(meet(join(X0,X1),join(X0,X2)),meet(join(X0,X2),X1))),
inference(forward_demodulation,[],[f6079,f36]) ).
fof(f6171,plain,
! [X2,X0,X1] : meet(meet(join(X2,complement(X0)),X1),X0) = meet(X0,meet(meet(join(complement(X0),X1),join(X2,complement(X0))),meet(join(X2,complement(X0)),X1))),
inference(forward_demodulation,[],[f6074,f36]) ).
fof(f6208,plain,
! [X2,X0,X1] : meet(meet(join(X0,X2),X1),complement(X0)) = meet(complement(X0),meet(meet(join(X0,X2),X1),meet(join(X0,X1),join(X0,X2)))),
inference(forward_demodulation,[],[f6170,f5]) ).
fof(f6209,plain,
! [X2,X0,X1] : meet(meet(join(X2,complement(X0)),X1),X0) = meet(X0,meet(meet(join(X2,complement(X0)),X1),meet(join(complement(X0),X1),join(X2,complement(X0))))),
inference(forward_demodulation,[],[f6171,f5]) ).
fof(f6225,plain,
! [X2,X0,X1] : meet(meet(join(X0,X2),X1),complement(X0)) = meet(complement(X0),meet(join(X0,X2),meet(meet(join(X0,X2),X1),join(X0,X1)))),
inference(forward_demodulation,[],[f6208,f36]) ).
fof(f6226,plain,
! [X2,X0,X1] : meet(meet(join(X2,complement(X0)),X1),X0) = meet(X0,meet(join(X2,complement(X0)),meet(meet(join(X2,complement(X0)),X1),join(complement(X0),X1)))),
inference(forward_demodulation,[],[f6209,f36]) ).
fof(f6237,plain,
! [X2,X0,X1] : meet(meet(join(X0,X2),X1),complement(X0)) = meet(complement(X0),meet(join(X0,X2),meet(join(X0,X1),meet(join(X0,X2),X1)))),
inference(forward_demodulation,[],[f6225,f5]) ).
fof(f6238,plain,
! [X2,X0,X1] : meet(meet(join(X2,complement(X0)),X1),X0) = meet(X0,meet(join(X2,complement(X0)),meet(join(complement(X0),X1),meet(join(X2,complement(X0)),X1)))),
inference(forward_demodulation,[],[f6226,f5]) ).
fof(f6247,plain,
! [X2,X0,X1] : meet(meet(join(X0,X2),X1),complement(X0)) = meet(complement(X0),meet(join(X0,X2),meet(X1,meet(join(X0,X2),join(X0,X1))))),
inference(forward_demodulation,[],[f6237,f1325]) ).
fof(f6248,plain,
! [X2,X0,X1] : meet(meet(join(X2,complement(X0)),X1),X0) = meet(X0,meet(join(X2,complement(X0)),meet(X1,meet(join(X2,complement(X0)),join(complement(X0),X1))))),
inference(forward_demodulation,[],[f6238,f1325]) ).
fof(f6252,plain,
! [X2,X0,X1] : meet(meet(join(X0,X2),X1),complement(X0)) = meet(complement(X0),meet(X1,meet(join(X0,X2),join(X0,X1)))),
inference(forward_demodulation,[],[f6247,f350]) ).
fof(f6253,plain,
! [X2,X0,X1] : meet(meet(join(X2,complement(X0)),X1),X0) = meet(X0,meet(X1,meet(join(X2,complement(X0)),join(complement(X0),X1)))),
inference(forward_demodulation,[],[f6248,f350]) ).
fof(f6256,plain,
! [X2,X0,X1] : meet(meet(join(X0,X2),X1),complement(X0)) = meet(complement(X0),meet(X1,join(X0,X2))),
inference(forward_demodulation,[],[f6252,f368]) ).
fof(f6257,plain,
! [X2,X0,X1] : meet(meet(join(X2,complement(X0)),X1),X0) = meet(X0,meet(X1,join(X2,complement(X0)))),
inference(forward_demodulation,[],[f6253,f368]) ).
fof(f6260,plain,
! [X2,X0,X1] : meet(complement(X0),meet(X1,join(X0,X2))) = meet(complement(X0),meet(join(X0,X2),X1)),
inference(forward_demodulation,[],[f6256,f5]) ).
fof(f6261,plain,
! [X2,X0,X1] : meet(X0,meet(X1,join(X2,complement(X0)))) = meet(X0,meet(join(X2,complement(X0)),X1)),
inference(forward_demodulation,[],[f6257,f5]) ).
fof(f6652,plain,
! [X0,X1] :
( zero != zero
| one != join(X0,meet(join(complement(X0),X1),join(complement(X0),complement(join(complement(X0),X1)))))
| complement(X0) = meet(join(complement(X0),X1),join(complement(X0),complement(join(complement(X0),X1)))) ),
inference(superposition,[],[f11,f2677]) ).
fof(f6687,plain,
! [X0,X1] :
( one != join(X0,meet(join(complement(X0),X1),join(complement(X0),complement(join(complement(X0),X1)))))
| complement(X0) = meet(join(complement(X0),X1),join(complement(X0),complement(join(complement(X0),X1)))) ),
inference(trivial_inequality_removal,[],[f6652]) ).
fof(f7088,plain,
! [X2,X0,X1] : join(X0,X1) = meet(join(X0,X1),join(X1,join(X0,X2))),
inference(superposition,[],[f120,f6]) ).
fof(f7306,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X0,X1),meet(X0,X2))),
inference(superposition,[],[f149,f4]) ).
fof(f8580,plain,
! [X2,X0,X1] : meet(complement(X2),meet(join(X2,X0),join(X1,X2))) = meet(complement(X2),join(X2,meet(X0,join(X1,X2)))),
inference(superposition,[],[f1859,f5]) ).
fof(f8581,plain,
! [X2,X0,X1] : meet(complement(X1),join(X1,meet(join(X0,X1),X2))) = meet(complement(X1),meet(join(X1,meet(join(X0,X1),X2)),join(X0,X1))),
inference(superposition,[],[f1859,f104]) ).
fof(f8635,plain,
! [X2,X3,X0,X1] : meet(complement(X0),meet(join(X0,meet(join(X2,X0),X1)),X3)) = meet(meet(complement(X0),meet(join(X0,X1),join(X2,X0))),X3),
inference(superposition,[],[f7,f1859]) ).
fof(f8641,plain,
! [X2,X3,X0,X1] : meet(complement(X0),meet(join(X0,meet(join(X2,X0),X1)),X3)) = meet(X3,meet(complement(X0),meet(join(X0,X1),join(X2,X0)))),
inference(superposition,[],[f36,f1859]) ).
fof(f8688,plain,
! [X2,X3,X0,X1] : meet(complement(X0),meet(join(X0,meet(join(X2,X0),X1)),X3)) = meet(complement(X0),meet(meet(join(X0,X1),join(X2,X0)),X3)),
inference(forward_demodulation,[],[f8635,f7]) ).
fof(f8734,plain,
! [X2,X0,X1] : meet(complement(X1),join(X1,meet(join(X0,X1),X2))) = meet(complement(X1),meet(join(X0,X1),join(X1,meet(join(X0,X1),X2)))),
inference(forward_demodulation,[],[f8581,f6260]) ).
fof(f8778,plain,
! [X2,X3,X0,X1] : meet(complement(X0),meet(join(X0,meet(join(X2,X0),X1)),X3)) = meet(complement(X0),meet(join(X0,X1),meet(join(X2,X0),X3))),
inference(forward_demodulation,[],[f8688,f7]) ).
fof(f8821,plain,
! [X2,X0,X1] : meet(complement(X1),meet(join(X1,X2),join(X0,X1))) = meet(complement(X1),meet(join(X0,X1),join(X1,meet(join(X0,X1),X2)))),
inference(forward_demodulation,[],[f8734,f1859]) ).
fof(f9258,plain,
! [X2,X0,X1] : meet(complement(X0),meet(join(X0,X1),join(X0,X2))) = meet(complement(X0),meet(join(X0,join(X0,X2)),join(X1,X0))),
inference(superposition,[],[f1859,f2881]) ).
fof(f9309,plain,
! [X2,X0,X1] : one = join(X0,meet(join(complement(X0),X1),join(complement(X0),X2))),
inference(superposition,[],[f509,f2881]) ).
fof(f9315,plain,
! [X0,X1] :
( one != one
| complement(X0) = meet(join(complement(X0),X1),join(complement(X0),complement(join(complement(X0),X1)))) ),
inference(backward_demodulation,[],[f6687,f9309]) ).
fof(f9316,plain,
! [X0,X1] : complement(X0) = meet(join(complement(X0),X1),join(complement(X0),complement(join(complement(X0),X1)))),
inference(trivial_inequality_removal,[],[f9315]) ).
fof(f9359,plain,
! [X2,X0,X1] : meet(complement(X0),meet(join(X0,X1),join(X0,X2))) = meet(complement(X0),meet(join(X0,X2),join(X1,X0))),
inference(forward_demodulation,[],[f9258,f24]) ).
fof(f9633,plain,
! [X0,X1] : meet(join(X0,X1),join(X0,complement(join(X0,X1)))) = X0,
inference(superposition,[],[f9316,f5216]) ).
fof(f9770,plain,
! [X2,X3,X0] : meet(complement(X0),meet(join(X0,X2),join(X0,X3))) = meet(complement(X0),meet(join(X2,X0),join(X0,X3))),
inference(backward_demodulation,[],[f2439,f9633]) ).
fof(f9918,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,join(X0,complement(join(X0,X1)))),
inference(superposition,[],[f96,f9633]) ).
fof(f9921,plain,
! [X0,X1] : meet(X1,meet(join(complement(X1),join(X0,complement(join(X0,complement(X1))))),join(X0,complement(X1)))) = meet(X1,join(complement(X1),X0)),
inference(superposition,[],[f1536,f9633]) ).
fof(f9922,plain,
! [X0,X1] : meet(X1,join(complement(X1),X0)) = meet(X1,meet(join(X0,complement(X1)),join(complement(X1),join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f9921,f6261]) ).
fof(f9989,plain,
! [X0,X1] : meet(X1,join(X0,complement(X1))) = meet(X1,join(complement(X1),X0)),
inference(forward_demodulation,[],[f9922,f7088]) ).
fof(f10062,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f9918,f6]) ).
fof(f10219,plain,
! [X0,X1] :
( meet(X0,X1) != zero
| complement(X0) = join(X1,complement(join(X0,X1))) ),
inference(backward_demodulation,[],[f4273,f10062]) ).
fof(f10762,plain,
! [X0,X1] : meet(X0,meet(X0,X1)) = meet(X0,join(meet(X0,X1),complement(X0))),
inference(superposition,[],[f10062,f4]) ).
fof(f10916,plain,
! [X0,X1] : meet(X0,meet(X0,X1)) = meet(X0,join(complement(X0),meet(X0,X1))),
inference(forward_demodulation,[],[f10762,f9989]) ).
fof(f10971,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,join(complement(X0),meet(X0,X1))),
inference(forward_demodulation,[],[f10916,f104]) ).
fof(f11014,plain,
! [X0,X1] : meet(complement(X0),X1) = meet(complement(X0),join(X0,meet(complement(X0),X1))),
inference(superposition,[],[f10971,f5216]) ).
fof(f11501,plain,
! [X0,X1] :
( zero != zero
| complement(X0) = join(meet(X1,complement(meet(X0,X1))),complement(join(X0,meet(X1,complement(meet(X0,X1)))))) ),
inference(superposition,[],[f10219,f193]) ).
fof(f11508,plain,
! [X0,X1] :
( zero != zero
| complement(X0) = join(meet(complement(X0),X1),complement(join(X0,meet(complement(X0),X1)))) ),
inference(superposition,[],[f10219,f486]) ).
fof(f11529,plain,
! [X0,X1] :
( zero != zero
| complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(join(X0,X1))))) ),
inference(superposition,[],[f10219,f310]) ).
fof(f11546,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(join(X0,X1))))),
inference(trivial_inequality_removal,[],[f11529]) ).
fof(f11548,plain,
! [X0,X1] : complement(X0) = join(meet(complement(X0),X1),complement(join(X0,meet(complement(X0),X1)))),
inference(trivial_inequality_removal,[],[f11508]) ).
fof(f11553,plain,
! [X0,X1] : complement(X0) = join(meet(X1,complement(meet(X0,X1))),complement(join(X0,meet(X1,complement(meet(X0,X1)))))),
inference(trivial_inequality_removal,[],[f11501]) ).
fof(f11690,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),meet(X0,X1)))) = X0,
inference(superposition,[],[f11548,f5216]) ).
fof(f11944,plain,
! [X0,X1] : join(X1,X0) = join(X1,complement(join(complement(X0),meet(X0,X1)))),
inference(superposition,[],[f108,f11690]) ).
fof(f12174,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(join(X0,X1)),complement(X0)),
inference(superposition,[],[f3,f11546]) ).
fof(f12243,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(X0),complement(join(X0,X1))),
inference(forward_demodulation,[],[f12174,f5]) ).
fof(f12328,plain,
! [X0,X1] : complement(join(complement(X0),X1)) = meet(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f12243,f5216]) ).
fof(f12358,plain,
! [X0,X1] : complement(X0) = meet(complement(meet(X0,X1)),complement(X0)),
inference(superposition,[],[f12243,f11690]) ).
fof(f12427,plain,
! [X0,X1] : complement(X0) = meet(complement(X0),complement(meet(X0,X1))),
inference(forward_demodulation,[],[f12358,f5]) ).
fof(f12515,plain,
! [X2,X0,X1] : meet(complement(X0),X2) = meet(complement(meet(X0,X1)),meet(complement(X0),X2)),
inference(superposition,[],[f29,f12427]) ).
fof(f12563,plain,
! [X2,X0,X1] : meet(complement(X0),X2) = meet(complement(X0),meet(X2,complement(meet(X0,X1)))),
inference(forward_demodulation,[],[f12515,f36]) ).
fof(f14326,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(meet(X1,complement(meet(X0,X1))),complement(X0)),
inference(superposition,[],[f3,f11553]) ).
fof(f14402,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(complement(X0),meet(X1,complement(meet(X0,X1)))),
inference(forward_demodulation,[],[f14326,f5]) ).
fof(f14478,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(complement(X0),X1),
inference(forward_demodulation,[],[f14402,f12563]) ).
fof(f14630,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(complement(X1),X0),
inference(superposition,[],[f14478,f5]) ).
fof(f15117,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(complement(join(complement(X0),meet(X0,X1))),X0),
inference(superposition,[],[f14630,f10971]) ).
fof(f15262,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(X0,complement(join(complement(X0),meet(X0,X1)))),
inference(forward_demodulation,[],[f15117,f5]) ).
fof(f15333,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = complement(join(complement(X0),meet(X0,X1))),
inference(forward_demodulation,[],[f15262,f12328]) ).
fof(f15385,plain,
! [X0,X1] : meet(complement(X1),X0) = complement(join(complement(X0),meet(X0,X1))),
inference(forward_demodulation,[],[f15333,f14630]) ).
fof(f15426,plain,
! [X0,X1] : join(X1,X0) = join(X1,meet(complement(X1),X0)),
inference(backward_demodulation,[],[f11944,f15385]) ).
fof(f15445,plain,
! [X0,X1] : meet(complement(X0),X1) = meet(complement(X0),join(X0,X1)),
inference(backward_demodulation,[],[f11014,f15426]) ).
fof(f15599,plain,
! [X2,X0,X1] : meet(complement(X0),meet(join(X0,X1),join(X0,X2))) = meet(complement(X0),meet(join(X0,X2),X1)),
inference(backward_demodulation,[],[f1746,f15445]) ).
fof(f15607,plain,
! [X2,X0,X1] : meet(complement(X1),meet(join(X1,X0),join(X1,X2))) = meet(complement(X1),meet(X0,join(X1,X2))),
inference(backward_demodulation,[],[f1876,f15445]) ).
fof(f15608,plain,
! [X2,X0,X1] : meet(complement(X2),meet(join(X2,X0),join(X1,X2))) = meet(complement(X2),meet(X0,join(X1,X2))),
inference(backward_demodulation,[],[f8580,f15445]) ).
fof(f15815,plain,
! [X2,X3,X0,X1] : meet(complement(X0),meet(join(X0,meet(join(X2,X0),X1)),X3)) = meet(X3,meet(complement(X0),meet(X1,join(X2,X0)))),
inference(backward_demodulation,[],[f8641,f15608]) ).
fof(f15826,plain,
! [X2,X0,X1] : meet(complement(X1),meet(join(X0,X1),join(X1,meet(join(X0,X1),X2)))) = meet(complement(X1),meet(X2,join(X0,X1))),
inference(backward_demodulation,[],[f8821,f15608]) ).
fof(f15831,plain,
! [X2,X0,X1] : meet(complement(X0),meet(join(X0,X1),join(X0,X2))) = meet(complement(X0),meet(X2,join(X1,X0))),
inference(backward_demodulation,[],[f9359,f15608]) ).
fof(f15865,plain,
! [X2,X3,X0] : meet(complement(X0),meet(join(X2,X0),join(X0,X3))) = meet(complement(X0),meet(X2,join(X0,X3))),
inference(backward_demodulation,[],[f9770,f15607]) ).
fof(f16259,plain,
! [X2,X0,X1] : meet(complement(X0),meet(join(X0,X2),X1)) = meet(complement(X0),meet(X2,join(X1,X0))),
inference(backward_demodulation,[],[f15599,f15831]) ).
fof(f16260,plain,
! [X2,X3,X0,X1] : meet(complement(X0),meet(join(X0,X1),meet(join(X2,X0),X3))) = meet(X3,meet(complement(X0),meet(X1,join(X2,X0)))),
inference(backward_demodulation,[],[f8778,f15815]) ).
fof(f16289,plain,
! [X2,X0,X1] : meet(complement(X1),meet(X2,join(X0,X1))) = meet(complement(X1),meet(X0,join(X1,meet(join(X0,X1),X2)))),
inference(backward_demodulation,[],[f15826,f15865]) ).
fof(f16540,plain,
! [X2,X3,X0,X1] : meet(X3,meet(complement(X0),meet(X1,join(X2,X0)))) = meet(complement(X0),meet(X1,join(meet(join(X2,X0),X3),X0))),
inference(forward_demodulation,[],[f16260,f16259]) ).
fof(f16704,plain,
! [X2,X3,X0,X1] : meet(complement(X0),meet(X1,join(X0,meet(join(X2,X0),X3)))) = meet(X3,meet(complement(X0),meet(X1,join(X2,X0)))),
inference(forward_demodulation,[],[f16540,f6]) ).
fof(f16814,plain,
! [X2,X0,X1] : meet(complement(X1),meet(X2,join(X0,X1))) = meet(X2,meet(complement(X1),meet(X0,join(X0,X1)))),
inference(backward_demodulation,[],[f16289,f16704]) ).
fof(f16885,plain,
! [X2,X0,X1] : meet(X2,meet(complement(X1),X0)) = meet(complement(X1),meet(X2,join(X0,X1))),
inference(forward_demodulation,[],[f16814,f3]) ).
fof(f16919,plain,
! [X2,X0,X1] : meet(X2,meet(complement(X0),X1)) = meet(complement(X0),meet(join(X0,X2),X1)),
inference(backward_demodulation,[],[f16259,f16885]) ).
fof(f18630,plain,
! [X2,X0,X1] : join(X1,meet(X2,X0)) = join(X1,meet(X0,meet(complement(X1),X2))),
inference(superposition,[],[f15426,f36]) ).
fof(f19171,plain,
! [X2,X0,X1] : join(X1,meet(join(X1,X0),X2)) = join(X1,meet(X0,meet(complement(X1),X2))),
inference(superposition,[],[f15426,f16919]) ).
fof(f19222,plain,
! [X2,X0,X1] : join(X1,meet(X2,X0)) = join(X1,meet(join(X1,X0),X2)),
inference(forward_demodulation,[],[f19171,f18630]) ).
fof(f19314,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,join(X1,meet(X0,X2))),
inference(backward_demodulation,[],[f101,f19222]) ).
fof(f19363,plain,
! [X2,X0,X1] : meet(join(X0,X2),join(X0,X1)) = join(X0,meet(join(X2,X0),X1)),
inference(backward_demodulation,[],[f636,f19222]) ).
fof(f19601,plain,
! [X2,X0,X1] : meet(X0,join(X2,X1)) = meet(X0,meet(join(X1,X2),join(X1,X0))),
inference(backward_demodulation,[],[f1530,f19363]) ).
fof(f19740,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,X1),X2)) = join(meet(X0,X1),meet(X0,X2)),
inference(backward_demodulation,[],[f7306,f19314]) ).
fof(f19847,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,join(X2,X1)),
inference(forward_demodulation,[],[f19601,f368]) ).
fof(f20193,plain,
~ sP0(meet(a,join(meet(a,b),c))),
inference(backward_demodulation,[],[f14,f19740]) ).
fof(f20474,plain,
~ sP0(meet(a,join(c,meet(a,b)))),
inference(forward_demodulation,[],[f20193,f19847]) ).
fof(f20681,plain,
~ sP0(meet(a,join(c,b))),
inference(forward_demodulation,[],[f20474,f19314]) ).
fof(f20797,plain,
~ sP0(meet(a,join(b,c))),
inference(forward_demodulation,[],[f20681,f19847]) ).
fof(f20900,plain,
$false,
inference(forward_subsumption_resolution,[],[f20797,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT205-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 % Computer : n011.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 27 14:05:45 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 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
% 16.87/3.21 % (2442899)Input is clausal, will run a generic CNF schedule.
% 16.87/3.21 % (2442998)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2592653177:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 16.87/3.21 % (2442990)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=4074488421:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 16.87/3.21 % (2442997)lrs+10_1_sil=8000:sp=occurrence:random_seed=2285700067:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 16.87/3.21 % (2442991)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1267732058:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 16.87/3.21 % (2442992)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4171246873:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 16.87/3.21 % (2442998)Instruction limit reached!
% 16.87/3.21 % (2442998)------------------------------
% 16.87/3.21 % (2442998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.87/3.21 % (2442998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/3.21 % (2442998)CaDiCaL version: 2.1.3
% 16.87/3.21 % (2442998)Termination reason: Instruction limit
% 16.87/3.21 % (2442998)Termination phase: Saturation
% 16.87/3.21 % (2442998)Time elapsed: 0.037 s
% 16.87/3.21 % (2442998)Peak memory usage: 89 MB
% 16.87/3.21 % (2442998)Instructions burned: 115 (million)
% 16.87/3.21 % (2443000)dis-21_1_sil=8000:lcm=predicate:random_seed=3634846951: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)
% 16.87/3.21 % (2443000)Refutation not found, incomplete strategy
% 16.87/3.21 % (2443000)------------------------------
% 16.87/3.21 % (2443000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.87/3.21 % (2443000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/3.21 % (2443000)CaDiCaL version: 2.1.3
% 16.87/3.21 % (2443000)Termination reason: Refutation not found, incomplete strategy
% 16.87/3.21 % (2443000)Time elapsed: 0.002 s
% 16.87/3.21 % (2443000)Peak memory usage: 88 MB
% 16.87/3.21 % (2443000)Instructions burned: 1 (million)
% 16.87/3.21 % (2442999)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1361608309:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 16.87/3.21 % (2442997)Instruction limit reached!
% 16.87/3.21 % (2442997)------------------------------
% 16.87/3.21 % (2442997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.87/3.21 % (2442997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/3.21 % (2442997)CaDiCaL version: 2.1.3
% 16.87/3.21 % (2442997)Termination reason: Instruction limit
% 16.87/3.21 % (2442997)Termination phase: Saturation
% 16.87/3.21 % (2442997)Time elapsed: 0.064 s
% 16.87/3.21 % (2442997)Peak memory usage: 88 MB
% 16.87/3.21 % (2442997)Instructions burned: 107 (million)
% 16.87/3.21 % (2443017)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=354416524:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 16.87/3.21 % (2443017)Refutation not found, incomplete strategy
% 16.87/3.21 % (2443017)------------------------------
% 16.87/3.21 % (2443017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.87/3.21 % (2443017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/3.21 % (2443017)CaDiCaL version: 2.1.3
% 16.87/3.21 % (2443017)Termination reason: Refutation not found, incomplete strategy
% 16.87/3.21 % (2443017)Time elapsed: 0.001 s
% 16.87/3.21 % (2443017)Peak memory usage: 88 MB
% 16.87/3.21 % (2442999)Instruction limit reached!
% 16.87/3.21 % (2442999)------------------------------
% 16.87/3.21 % (2442999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.87/3.21 % (2442999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/3.21 % (2442999)CaDiCaL version: 2.1.3
% 16.87/3.21 % (2442999)Termination reason: Instruction limit
% 16.87/3.21 % (2442999)Termination phase: Saturation
% 16.87/3.21 % (2442999)Time elapsed: 0.104 s
% 16.87/3.21 % (2442999)Peak memory usage: 89 MB
% 16.87/3.21 % (2442999)Instructions burned: 181 (million)
% 16.87/3.21 % (2443020)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2908850742:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 34.30/5.74 % (2443020)Refutation not found, incomplete strategy
% 34.30/5.74 % (2443020)------------------------------
% 34.30/5.74 % (2443020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.30/5.74 % (2443020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.30/5.74 % (2443020)CaDiCaL version: 2.1.3
% 34.30/5.74 % (2443020)Termination reason: Refutation not found, incomplete strategy
% 34.30/5.74 % (2443020)Time elapsed: 0.002 s
% 34.30/5.74 % (2443020)Peak memory usage: 88 MB
% 34.30/5.74 % (2443020)Instructions burned: 1 (million)
% 34.30/5.74 % (2443017)------------------------------
% 34.30/5.74 % (2443017)------------------------------
% 34.30/5.74 % (2443000)------------------------------
% 34.30/5.74 % (2443000)------------------------------
% 34.30/5.74 % (2443022)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1027057482:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 34.30/5.74 % (2443022)Refutation not found, incomplete strategy
% 34.30/5.74 % (2443022)------------------------------
% 34.30/5.74 % (2443022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.30/5.74 % (2443022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.30/5.74 % (2443022)CaDiCaL version: 2.1.3
% 34.30/5.74 % (2443022)Termination reason: Refutation not found, incomplete strategy
% 34.30/5.74 % (2443022)Time elapsed: 0.002 s
% 34.30/5.74 % (2443022)Peak memory usage: 88 MB
% 34.30/5.74 % (2443051)lrs+10_64_to=lpo:sil=8000:random_seed=1329067449:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 34.30/5.74 % (2443051)Instruction limit reached!
% 34.30/5.74 % (2443051)------------------------------
% 34.30/5.74 % (2443051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.30/5.74 % (2443051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.30/5.74 % (2443051)CaDiCaL version: 2.1.3
% 34.30/5.74 % (2443051)Termination reason: Instruction limit
% 34.30/5.74 % (2443051)Termination phase: Saturation
% 34.30/5.74 % (2443051)Time elapsed: 0.065 s
% 34.30/5.74 % (2443051)Peak memory usage: 88 MB
% 34.30/5.74 % (2443051)Instructions burned: 127 (million)
% 34.30/5.74 % (2443052)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2999703883:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 34.30/5.74 % (2443020)------------------------------
% 34.30/5.74 % (2443020)------------------------------
% 34.30/5.74 % (2443064)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2659300418:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 34.30/5.74 % (2443052)Instruction limit reached!
% 34.30/5.74 % (2443052)------------------------------
% 34.30/5.74 % (2443052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.30/5.74 % (2443052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.30/5.74 % (2443052)CaDiCaL version: 2.1.3
% 34.30/5.74 % (2443052)Termination reason: Instruction limit
% 34.30/5.74 % (2443052)Termination phase: Saturation
% 34.30/5.74 % (2443052)Time elapsed: 0.199 s
% 34.30/5.74 % (2443052)Peak memory usage: 90 MB
% 34.30/5.74 % (2443052)Instructions burned: 195 (million)
% 34.30/5.74 % (2443022)------------------------------
% 34.30/5.74 % (2443022)------------------------------
% 34.30/5.74 % (2443064)Instruction limit reached!
% 34.30/5.74 % (2443064)------------------------------
% 34.30/5.74 % (2443064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.30/5.74 % (2443064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.30/5.74 % (2443064)CaDiCaL version: 2.1.3
% 34.30/5.74 % (2443064)Termination reason: Instruction limit
% 34.30/5.74 % (2443064)Termination phase: Saturation
% 34.30/5.74 % (2443064)Time elapsed: 0.086 s
% 34.30/5.74 % (2443064)Peak memory usage: 90 MB
% 34.30/5.74 % (2443064)Instructions burned: 158 (million)
% 34.30/5.74 % (2443069)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3039754815:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 34.30/5.74 % (2443071)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=3938035711:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2990 on theBenchmark for (2990ds/106Mi)
% 34.30/5.74 % (2443072)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=230616517:i=107_2990 on theBenchmark for (2990ds/107Mi)
% 48.64/7.72 % (2443072)Refutation not found, incomplete strategy
% 48.64/7.72 % (2443072)------------------------------
% 48.64/7.72 % (2443072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.64/7.72 % (2443072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.64/7.72 % (2443072)CaDiCaL version: 2.1.3
% 48.64/7.72 % (2443072)Termination reason: Refutation not found, incomplete strategy
% 48.64/7.72 % (2443072)Time elapsed: 0.002 s
% 48.64/7.72 % (2443072)Peak memory usage: 87 MB
% 48.64/7.72 % (2443073)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3532085854:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2989 on theBenchmark for (2989ds/242Mi)
% 48.64/7.72 % (2443071)Instruction limit reached!
% 48.64/7.72 % (2443071)------------------------------
% 48.64/7.72 % (2443071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.64/7.72 % (2443071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.64/7.72 % (2443071)CaDiCaL version: 2.1.3
% 48.64/7.72 % (2443071)Termination reason: Instruction limit
% 48.64/7.72 % (2443071)Termination phase: Saturation
% 48.64/7.72 % (2443071)Time elapsed: 0.108 s
% 48.64/7.72 % (2443071)Peak memory usage: 89 MB
% 48.64/7.72 % (2443071)Instructions burned: 106 (million)
% 48.64/7.72 % (2443073)Instruction limit reached!
% 48.64/7.72 % (2443073)------------------------------
% 48.64/7.72 % (2443073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.64/7.72 % (2443073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.64/7.72 % (2443073)CaDiCaL version: 2.1.3
% 48.64/7.72 % (2443073)Termination reason: Instruction limit
% 48.64/7.72 % (2443073)Termination phase: Saturation
% 48.64/7.72 % (2443073)Time elapsed: 0.128 s
% 48.64/7.72 % (2443073)Peak memory usage: 90 MB
% 48.64/7.72 % (2443073)Instructions burned: 244 (million)
% 48.64/7.72 % (2443087)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3290403702:i=134:sd=2:doe=on:ss=axioms:sgt=14_2986 on theBenchmark for (2986ds/134Mi)
% 48.64/7.72 % (2443085)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4260209200:cond=fast:i=5208:av=off_2986 on theBenchmark for (2986ds/5208Mi)
% 48.64/7.72 % (2443072)------------------------------
% 48.64/7.72 % (2443072)------------------------------
% 48.64/7.72 % (2443087)Instruction limit reached!
% 48.64/7.72 % (2443087)------------------------------
% 48.64/7.72 % (2443087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.64/7.72 % (2443087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.64/7.72 % (2443087)CaDiCaL version: 2.1.3
% 48.64/7.72 % (2443087)Termination reason: Instruction limit
% 48.64/7.72 % (2443087)Termination phase: Saturation
% 48.64/7.72 % (2443087)Time elapsed: 0.071 s
% 48.64/7.72 % (2443087)Peak memory usage: 89 MB
% 48.64/7.72 % (2443087)Instructions burned: 136 (million)
% 48.64/7.72 % (2443091)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3593585889:i=191:fgj=on:bd=all_2983 on theBenchmark for (2983ds/191Mi)
% 48.64/7.72 % (2443090)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=4250193054:i=499:bd=all_2983 on theBenchmark for (2983ds/499Mi)
% 48.64/7.72 % (2443091)Instruction limit reached!
% 48.64/7.72 % (2443091)------------------------------
% 48.64/7.72 % (2443091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.64/7.72 % (2443091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.64/7.72 % (2443091)CaDiCaL version: 2.1.3
% 48.64/7.72 % (2443091)Termination reason: Instruction limit
% 48.64/7.72 % (2443091)Termination phase: Saturation
% 48.64/7.72 % (2443091)Time elapsed: 0.105 s
% 48.64/7.72 % (2443091)Peak memory usage: 91 MB
% 48.64/7.72 % (2443091)Instructions burned: 192 (million)
% 48.64/7.72 % (2443098)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3107590502:i=264:kws=precedence:fsr=off_2980 on theBenchmark for (2980ds/264Mi)
% 48.64/7.72 % (2443098)Instruction limit reached!
% 48.64/7.72 % (2443098)------------------------------
% 48.64/7.72 % (2443098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.64/7.72 % (2443098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.64/7.72 % (2443098)CaDiCaL version: 2.1.3
% 48.64/7.72 % (2443098)Termination reason: Instruction limit
% 83.15/12.65 % (2443098)Termination phase: Saturation
% 83.15/12.65 % (2443098)Time elapsed: 0.138 s
% 83.15/12.65 % (2443098)Peak memory usage: 92 MB
% 83.15/12.65 % (2443098)Instructions burned: 264 (million)
% 83.15/12.65 % (2443090)Instruction limit reached!
% 83.15/12.65 % (2443090)------------------------------
% 83.15/12.65 % (2443090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.15/12.65 % (2443090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.15/12.65 % (2443090)CaDiCaL version: 2.1.3
% 83.15/12.65 % (2443090)Termination reason: Instruction limit
% 83.15/12.65 % (2443090)Termination phase: Saturation
% 83.15/12.65 % (2443090)Time elapsed: 0.482 s
% 83.15/12.65 % (2443090)Peak memory usage: 95 MB
% 83.15/12.65 % (2443090)Instructions burned: 499 (million)
% 83.15/12.65 % (2443104)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1461262880:cond=on:i=156:bs=on:gtg=exists_all:er=known_2976 on theBenchmark for (2976ds/156Mi)
% 83.15/12.65 % (2443105)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=2217953775:i=3256:kws=precedence:bd=preordered:av=off_2976 on theBenchmark for (2976ds/3256Mi)
% 83.15/12.65 % (2443104)Instruction limit reached!
% 83.15/12.65 % (2443104)------------------------------
% 83.15/12.65 % (2443104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.15/12.65 % (2443104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.15/12.65 % (2443104)CaDiCaL version: 2.1.3
% 83.15/12.65 % (2443104)Termination reason: Instruction limit
% 83.15/12.65 % (2443104)Termination phase: Saturation
% 83.15/12.65 % (2443104)Time elapsed: 0.151 s
% 83.15/12.65 % (2443104)Peak memory usage: 89 MB
% 83.15/12.65 % (2443104)Instructions burned: 156 (million)
% 83.15/12.65 % (2443108)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2979753008:i=537:av=off:ss=included_2972 on theBenchmark for (2972ds/537Mi)
% 83.15/12.65 % (2443108)Instruction limit reached!
% 83.15/12.65 % (2443108)------------------------------
% 83.15/12.65 % (2443108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.15/12.65 % (2443108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.15/12.65 % (2443108)CaDiCaL version: 2.1.3
% 83.15/12.65 % (2443108)Termination reason: Instruction limit
% 83.15/12.65 % (2443108)Termination phase: Saturation
% 83.15/12.65 % (2443108)Time elapsed: 0.489 s
% 83.15/12.65 % (2443108)Peak memory usage: 93 MB
% 83.15/12.65 % (2443108)Instructions burned: 537 (million)
% 83.15/12.65 % (2443112)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=742934782:i=180:bd=preordered:av=off_2964 on theBenchmark for (2964ds/180Mi)
% 83.15/12.65 % (2443112)Instruction limit reached!
% 83.15/12.65 % (2443112)------------------------------
% 83.15/12.65 % (2443112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.15/12.65 % (2443112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.15/12.65 % (2443112)CaDiCaL version: 2.1.3
% 83.15/12.65 % (2443112)Termination reason: Instruction limit
% 83.15/12.65 % (2443112)Termination phase: Saturation
% 83.15/12.65 % (2443112)Time elapsed: 0.168 s
% 83.15/12.65 % (2443112)Peak memory usage: 88 MB
% 83.15/12.65 % (2443112)Instructions burned: 181 (million)
% 83.15/12.65 % (2443114)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=2851569324:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2959 on theBenchmark for (2959ds/10307Mi)
% 83.15/12.65 % (2443069)Instruction limit reached!
% 83.15/12.65 % (2443069)------------------------------
% 83.15/12.65 % (2443069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.15/12.65 % (2443069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.15/12.65 % (2443069)CaDiCaL version: 2.1.3
% 83.15/12.65 % (2443069)Termination reason: Instruction limit
% 83.15/12.65 % (2443069)Termination phase: Saturation
% 83.15/12.65 % (2443069)Time elapsed: 3.436 s
% 83.15/12.65 % (2443069)Peak memory usage: 149 MB
% 83.15/12.65 % (2443069)Instructions burned: 3395 (million)
% 83.15/12.65 % (2443118)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=3513668465:i=412:gtgl=4:gtg=exists_all_2954 on theBenchmark for (2954ds/412Mi)
% 83.15/12.65 % (2443085)Instruction limit reached!
% 83.15/12.65 % (2443085)------------------------------
% 83.15/12.65 % (2443085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.47/16.73 % (2443085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.47/16.73 % (2443085)CaDiCaL version: 2.1.3
% 55.47/16.73 % (2443085)Termination reason: Instruction limit
% 55.47/16.73 % (2443085)Termination phase: Saturation
% 55.47/16.73 % (2443085)Time elapsed: 3.300 s
% 55.47/16.73 % (2443085)Peak memory usage: 167 MB
% 55.47/16.73 % (2443085)Instructions burned: 5208 (million)
% 55.47/16.73 % (2443120)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=3565205805:s2pl=no:i=8478:s2at=4:nm=6_2951 on theBenchmark for (2951ds/8478Mi)
% 55.47/16.73 % (2443118)Instruction limit reached!
% 55.47/16.73 % (2443118)------------------------------
% 55.47/16.73 % (2443118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.47/16.73 % (2443118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.47/16.73 % (2443118)CaDiCaL version: 2.1.3
% 55.47/16.73 % (2443118)Termination reason: Instruction limit
% 55.47/16.73 % (2443118)Termination phase: Saturation
% 55.47/16.73 % (2443118)Time elapsed: 0.412 s
% 55.47/16.73 % (2443118)Peak memory usage: 94 MB
% 55.47/16.73 % (2443118)Instructions burned: 412 (million)
% 55.47/16.73 % (2443122)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=156708234:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2947 on theBenchmark for (2947ds/303Mi)
% 55.47/16.73 % (2443122)Refutation not found, incomplete strategy
% 55.47/16.73 % (2443122)------------------------------
% 55.47/16.73 % (2443122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.47/16.73 % (2443122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.47/16.73 % (2443122)CaDiCaL version: 2.1.3
% 55.47/16.73 % (2443122)Termination reason: Refutation not found, incomplete strategy
% 55.47/16.73 % (2443122)Time elapsed: 0.003 s
% 55.47/16.73 % (2443122)Peak memory usage: 88 MB
% 55.47/16.73 % (2443122)Instructions burned: 1 (million)
% 55.47/16.73 % (2443122)------------------------------
% 55.47/16.73 % (2443122)------------------------------
% 55.47/16.73 % (2443105)Instruction limit reached!
% 55.47/16.73 % (2443105)------------------------------
% 55.47/16.73 % (2443105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.47/16.73 % (2443105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.47/16.73 % (2443105)CaDiCaL version: 2.1.3
% 55.47/16.73 % (2443105)Termination reason: Instruction limit
% 55.47/16.73 % (2443105)Termination phase: Saturation
% 55.47/16.73 % (2443105)Time elapsed: 3.302 s
% 55.47/16.73 % (2443105)Peak memory usage: 147 MB
% 55.47/16.73 % (2443105)Instructions burned: 3256 (million)
% 55.47/16.73 % (2443124)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=2917828420:st=4:i=720:sd=3:fsr=off:ss=axioms_2940 on theBenchmark for (2940ds/720Mi)
% 55.47/16.73 % (2443125)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=3310982975:i=598:bs=on:bd=preordered:av=off:ss=axioms_2940 on theBenchmark for (2940ds/598Mi)
% 55.47/16.73 % (2443124)Refutation not found, incomplete strategy
% 55.47/16.73 % (2443124)------------------------------
% 55.47/16.73 % (2443124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.47/16.73 % (2443124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.47/16.73 % (2443124)CaDiCaL version: 2.1.3
% 55.47/16.73 % (2443124)Termination reason: Refutation not found, incomplete strategy
% 55.47/16.73 % (2443124)Time elapsed: 0.002 s
% 55.47/16.73 % (2443124)Peak memory usage: 88 MB
% 55.47/16.73 % (2443124)------------------------------
% 55.47/16.73 % (2443124)------------------------------
% 55.47/16.73 % (2443125)Instruction limit reached!
% 55.47/16.73 % (2443125)------------------------------
% 55.47/16.73 % (2443125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.47/16.73 % (2443125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.47/16.73 % (2443125)CaDiCaL version: 2.1.3
% 55.47/16.73 % (2443125)Termination reason: Instruction limit
% 55.47/16.73 % (2443125)Termination phase: Saturation
% 55.47/16.73 % (2443125)Time elapsed: 0.616 s
% 55.47/16.73 % (2443125)Peak memory usage: 94 MB
% 55.47/16.73 % (2443125)Instructions burned: 599 (million)
% 55.47/16.73 % (2443128)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=3349328219:i=2989:sd=3:ss=axioms:sgt=60_2933 on theBenchmark for (2933ds/2989Mi)
% 55.47/16.73 % (2443130)dis+1011_1_ncem=casc2026/models/loop5.pt:sil=8000:tgt=full:npcc=on:bsd=on:sp=const_min:spb=goal_then_units:lcm=predicate:urr=ec_only:s2agt=16:random_seed=3734468835:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2931 on theBenchmark for (2931ds/1997Mi)
% 55.47/16.73 % (2443130)Instruction limit reached!
% 55.47/16.73 % (2443130)------------------------------
% 55.47/16.73 % (2443130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.47/16.73 % (2443130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.47/16.73 % (2443130)CaDiCaL version: 2.1.3
% 55.47/16.73 % (2443130)Termination reason: Instruction limit
% 55.47/16.73 % (2443130)Termination phase: Saturation
% 55.47/16.73 % (2443130)Time elapsed: 2.055 s
% 55.47/16.73 % (2443130)Peak memory usage: 138 MB
% 55.47/16.73 % (2443130)Instructions burned: 1998 (million)
% 55.47/16.73 % (2443142)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:drc=off:sp=unary_frequency:urr=ec_only:fd=preordered:random_seed=1857552902:i=2088:bd=preordered:av=off_2907 on theBenchmark for (2907ds/2088Mi)
% 55.47/16.73 % (2443128)Instruction limit reached!
% 55.47/16.73 % (2443128)------------------------------
% 55.47/16.73 % (2443128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.47/16.73 % (2443128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.47/16.73 % (2443128)CaDiCaL version: 2.1.3
% 55.47/16.73 % (2443128)Termination reason: Instruction limit
% 55.47/16.73 % (2443128)Termination phase: Saturation
% 55.47/16.73 % (2443128)Time elapsed: 2.942 s
% 55.47/16.73 % (2443128)Peak memory usage: 148 MB
% 55.47/16.73 % (2443128)Instructions burned: 2990 (million)
% 55.47/16.73 % (2443144)lrs+1010_64:1_anc=all:to=lpo:sil=16000:fde=none:sp=const_frequency:urr=full:sac=on:random_seed=3680028930:i=1098:nicw=on_2901 on theBenchmark for (2901ds/1098Mi)
% 55.47/16.73 % (2443120)Instruction limit reached!
% 55.47/16.73 % (2443120)------------------------------
% 55.47/16.73 % (2443120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.47/16.73 % (2443120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.47/16.73 % (2443120)CaDiCaL version: 2.1.3
% 55.47/16.73 % (2443120)Termination reason: Instruction limit
% 55.47/16.73 % (2443120)Termination phase: Saturation
% 55.47/16.73 % (2443120)Time elapsed: 5.456 s
% 55.47/16.73 % (2443120)Peak memory usage: 160 MB
% 55.47/16.73 % (2443120)Instructions burned: 8478 (million)
% 55.47/16.73 % (2443146)lrs-1011_32:1_to=lpo:sil=32000:tgt=ground:sos=on:spb=goal_then_units:acc=on:random_seed=3055494092:i=433:bd=preordered_2894 on theBenchmark for (2894ds/433Mi)
% 55.47/16.73 % (2443146)Refutation not found, incomplete strategy
% 55.47/16.73 % (2443146)------------------------------
% 55.47/16.73 % (2443146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.47/16.73 % (2443146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.47/16.73 % (2443146)CaDiCaL version: 2.1.3
% 55.47/16.73 % (2443146)Termination reason: Refutation not found, incomplete strategy
% 55.47/16.73 % (2443146)Time elapsed: 0.002 s
% 55.47/16.73 % (2443146)Peak memory usage: 88 MB
% 55.47/16.73 % (2443146)Instructions burned: 1 (million)
% 55.47/16.73 % (2443146)------------------------------
% 55.47/16.73 % (2443146)------------------------------
% 55.47/16.73 % (2443144)Instruction limit reached!
% 55.47/16.73 % (2443144)------------------------------
% 55.47/16.73 % (2443144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.47/16.73 % (2443144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.47/16.73 % (2443144)CaDiCaL version: 2.1.3
% 55.47/16.73 % (2443144)Termination reason: Instruction limit
% 55.47/16.73 % (2443144)Termination phase: Saturation
% 55.47/16.73 % (2443144)Time elapsed: 1.124 s
% 55.47/16.73 % (2443144)Peak memory usage: 101 MB
% 55.47/16.73 % (2443144)Instructions burned: 1098 (million)
% 55.47/16.73 % (2443148)lrs+1002_1_ncem=casc2026/models/loop3.pt:sil=32000:npcc=on:prc=on:etr=on:spb=goal:flr=on:random_seed=1060480512:st=5.37:cond=on:i=2942:s2at=20:aac=none:fgj=on:bs=on:gtg=exists_sym:ss=axioms:er=filter:sgt=16_2889 on theBenchmark for (2889ds/2942Mi)
% 55.47/16.73 % (2443149)lrs+35_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=reverse_arity:urr=full:rp=on:br=off:random_seed=4022813969:i=6922:s2at=5:sd=3:bd=all:ss=axioms:er=known:sgt=32_2887 on theBenchmark for (2887ds/6922Mi)
% 55.47/16.73 % (2443142)Instruction limit reached!
% 55.47/16.73 % (2443142)------------------------------
% 55.47/16.73 % (2443142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.47/16.73 % (2443142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.47/16.73 % (2443142)CaDiCaL version: 2.1.3
% 55.47/16.73 % (2443142)Termination reason: Instruction limit
% 55.47/16.73 % (2443142)Termination phase: Saturation
% 55.47/16.73 % (2443142)Time elapsed: 2.272 s
% 55.47/16.73 % (2443142)Peak memory usage: 139 MB
% 55.47/16.73 % (2443142)Instructions burned: 2088 (million)
% 55.47/16.73 % (2443152)dis+10_5:1_sil=8000:tgt=full:plsq=on:plsqc=1:plsqr=32,1:urr=on:fd=off:nwc=0.5:br=off:slsqc=3:slsq=on:random_seed=1600264215:s2a=on:i=596:s2at=2.3:gtgl=5:gtg=all:sup=off_2882 on theBenchmark for (2882ds/596Mi)
% 55.47/16.73 % (2443152)Refutation not found, incomplete strategy
% 55.47/16.73 % (2443152)------------------------------
% 55.47/16.73 % (2443152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.47/16.73 % (2443152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.47/16.73 % (2443152)CaDiCaL version: 2.1.3
% 55.47/16.73 % (2443152)Termination reason: Refutation not found, incomplete strategy
% 55.47/16.73 % (2443152)Time elapsed: 0.003 s
% 55.47/16.73 % (2443152)Peak memory usage: 88 MB
% 55.47/16.73 % (2443152)Instructions burned: 1 (million)
% 55.47/16.73 % (2443152)------------------------------
% 55.47/16.73 % (2443152)------------------------------
% 55.47/16.73 % (2443156)lrs+21_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=non_intro:urr=on:fd=preordered:random_seed=3247083326:i=4123:kws=inv_frequency:bd=preordered:av=off:er=known_2874 on theBenchmark for (2874ds/4123Mi)
% 55.47/16.73 % (2443148)Instruction limit reached!
% 55.47/16.73 % (2443148)------------------------------
% 55.47/16.73 % (2443148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.47/16.73 % (2443148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.47/16.73 % (2443148)CaDiCaL version: 2.1.3
% 55.47/16.73 % (2443148)Termination reason: Instruction limit
% 55.47/16.73 % (2443148)Termination phase: Saturation
% 55.47/16.73 % (2443148)Time elapsed: 1.842 s
% 55.47/16.73 % (2443148)Peak memory usage: 140 MB
% 55.47/16.73 % (2443148)Instructions burned: 2943 (million)
% 55.47/16.73 % (2443158)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=489087428:i=16411:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2868 on theBenchmark for (2868ds/16411Mi)
% 55.47/16.73 % (2443114)Instruction limit reached!
% 55.47/16.73 % (2443114)------------------------------
% 55.47/16.73 % (2443114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.47/16.73 % (2443114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.47/16.73 % (2443114)CaDiCaL version: 2.1.3
% 55.47/16.73 % (2443114)Termination reason: Instruction limit
% 55.47/16.73 % (2443114)Termination phase: Saturation
% 55.47/16.73 % (2443114)Time elapsed: 10.389 s
% 55.47/16.73 % (2443114)Peak memory usage: 196 MB
% 55.47/16.73 % (2443114)Instructions burned: 10307 (million)
% 55.47/16.73 % (2443162)lrs+0_1_ncem=casc2026/models/loop1.pt:sil=8000:tgt=full:npcc=on:sp=reverse_frequency:gs=on:random_seed=3985192645:i=1670:kws=inv_precedence:bd=all:av=off:gtg=exists_all_2853 on theBenchmark for (2853ds/1670Mi)
% 55.47/16.73 % (2443158)First to succeed.
% 55.47/16.73 % (2443158)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2442899"
% 55.47/16.73 % (2443158)Refutation found. Thanks to Tanya!
% 55.47/16.73 % SZS status Unsatisfiable for theBenchmark
% 55.47/16.73 % SZS output start Proof for theBenchmark
% See solution above
% 113.02/16.99 % (2443158)------------------------------
% 113.02/16.99 % (2443158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.02/16.99 % (2443158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.02/16.99 % (2443158)CaDiCaL version: 2.1.3
% 113.02/16.99 % (2443158)Termination reason: Refutation
% 113.02/16.99 % (2443158)Time elapsed: 2.167 s
% 113.02/16.99 % (2443158)Peak memory usage: 150 MB
% 113.02/16.99 % (2443158)Instructions burned: 3609 (million)
% 113.02/16.99 % (2443158)------------------------------
% 113.02/16.99 % (2443158)------------------------------
% 113.02/16.99 % (2442899)Success in time 15.865 s
% 113.02/16.99 % Vampire exiting
%------------------------------------------------------------------------------