TSTP Solution File: LAT097-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT097-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 13:20:43 EDT 2024
% Result : Unsatisfiable 0.19s 0.84s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 2
% Syntax : Number of formulae : 82 ( 82 unt; 0 def)
% Number of atoms : 82 ( 81 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 17 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 276 ( 276 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8195,plain,
$false,
inference(trivial_inequality_removal,[],[f8149]) ).
fof(f8149,plain,
b != b,
inference(superposition,[],[f2,f7196]) ).
fof(f7196,plain,
! [X2,X0,X1] : join(join(meet(X1,X0),meet(X2,X0)),X0) = X0,
inference(superposition,[],[f824,f5820]) ).
fof(f5820,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
inference(forward_demodulation,[],[f5713,f2309]) ).
fof(f2309,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f2308,f51]) ).
fof(f51,plain,
! [X2,X1] : join(meet(X1,X2),meet(X1,join(X1,X2))) = X1,
inference(superposition,[],[f28,f28]) ).
fof(f28,plain,
! [X0,X1,X7] : join(meet(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X1),meet(X1,join(join(meet(X0,X1),meet(X1,join(X0,X1))),X1))),X7),meet(X1,join(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X1),meet(X1,join(join(meet(X0,X1),meet(X1,join(X0,X1))),X1))),X7))) = X1,
inference(superposition,[],[f12,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] : join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(join(meet(X0,join(join(meet(X1,X3),meet(X4,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X3),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X1,X3),join(X4,X1)),X1)))),join(X0,join(join(meet(X1,X3),meet(X4,X1)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f12,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : join(meet(join(meet(X5,X1),meet(X1,join(X5,X1))),X6),meet(join(meet(X5,join(join(meet(X1,X7),meet(X8,X1)),X1)),meet(join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))),join(X5,join(join(meet(X1,X7),meet(X8,X1)),X1)))),join(join(meet(X5,X1),meet(X1,join(X5,X1))),X6))) = X1,
inference(superposition,[],[f5,f1]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X8,X7] : join(meet(X0,X1),meet(X1,join(X0,X1))) = join(meet(join(meet(X7,join(meet(X0,X1),meet(X1,join(X0,X1)))),meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(X7,join(meet(X0,X1),meet(X1,join(X0,X1)))))),X8),meet(join(meet(X7,join(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(X3,join(meet(X0,X1),meet(X1,join(X0,X1))))),join(meet(X0,X1),meet(X1,join(X0,X1))))),meet(X1,join(X7,join(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(X3,join(meet(X0,X1),meet(X1,join(X0,X1))))),join(meet(X0,X1),meet(X1,join(X0,X1))))))),join(join(meet(X7,join(meet(X0,X1),meet(X1,join(X0,X1)))),meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(X7,join(meet(X0,X1),meet(X1,join(X0,X1)))))),X8))),
inference(superposition,[],[f1,f1]) ).
fof(f2308,plain,
! [X0,X1] : join(X0,X0) = join(meet(X0,X1),meet(X0,join(X0,X1))),
inference(forward_demodulation,[],[f2307,f2157]) ).
fof(f2157,plain,
! [X0] : join(meet(X0,join(X0,X0)),X0) = X0,
inference(forward_demodulation,[],[f2156,f1610]) ).
fof(f1610,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = meet(X1,meet(X1,join(X0,X1))),
inference(forward_demodulation,[],[f1542,f1491]) ).
fof(f1491,plain,
! [X0,X1] : meet(meet(X0,join(X1,X0)),X0) = X0,
inference(superposition,[],[f552,f1368]) ).
fof(f1368,plain,
! [X0] : join(X0,meet(X0,join(meet(X0,X0),X0))) = X0,
inference(superposition,[],[f464,f1283]) ).
fof(f1283,plain,
! [X0] : meet(meet(X0,X0),X0) = X0,
inference(superposition,[],[f1100,f552]) ).
fof(f1100,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X1,meet(X0,X1)),meet(X0,X1)),
inference(superposition,[],[f945,f464]) ).
fof(f945,plain,
! [X3,X0] : meet(meet(join(X0,X3),X0),X0) = X0,
inference(superposition,[],[f552,f824]) ).
fof(f464,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
inference(superposition,[],[f389,f1]) ).
fof(f389,plain,
! [X2,X3,X1,X4] : join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))) = X1,
inference(superposition,[],[f208,f28]) ).
fof(f208,plain,
! [X2,X3,X0,X1,X4] : join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))) = X1,
inference(forward_demodulation,[],[f207,f51]) ).
fof(f207,plain,
! [X2,X3,X0,X1,X7,X4] : join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))) = join(meet(X1,X7),meet(X1,join(X1,X7))),
inference(forward_demodulation,[],[f166,f1]) ).
fof(f166,plain,
! [X2,X3,X0,X1,X7,X4] : join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))) = join(meet(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1))))),meet(join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1))))))),X7),meet(X1,join(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1))))),meet(join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1))))))),X7))),
inference(superposition,[],[f55,f1]) ).
fof(f55,plain,
! [X2,X3,X1,X4,X5] : join(meet(join(meet(X2,X1),meet(X1,join(X2,X1))),X3),meet(join(meet(X2,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(X1,join(X2,join(join(meet(X1,X4),meet(X5,X1)),X1)))),join(join(meet(X2,X1),meet(X1,join(X2,X1))),X3))) = X1,
inference(superposition,[],[f5,f28]) ).
fof(f552,plain,
! [X2,X0,X1] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
inference(superposition,[],[f464,f389]) ).
fof(f1542,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = meet(meet(meet(X1,join(X0,X1)),X1),meet(X1,join(X0,X1))),
inference(superposition,[],[f1491,f464]) ).
fof(f2156,plain,
! [X0] : join(meet(X0,meet(X0,join(X0,X0))),X0) = X0,
inference(forward_demodulation,[],[f2085,f2018]) ).
fof(f2018,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[],[f1983,f552]) ).
fof(f1983,plain,
! [X2,X0,X1] : meet(meet(meet(join(X0,X1),join(X2,X0)),X0),X0) = X0,
inference(superposition,[],[f1148,f552]) ).
fof(f1148,plain,
! [X2,X1] : meet(X1,X2) = meet(meet(X1,meet(X1,X2)),meet(X1,X2)),
inference(forward_demodulation,[],[f1091,f464]) ).
fof(f1091,plain,
! [X2,X0,X1] : meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2) = meet(meet(X1,meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2)),meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2)),
inference(superposition,[],[f945,f1]) ).
fof(f2085,plain,
! [X0] : join(meet(X0,meet(X0,join(X0,X0))),meet(X0,X0)) = X0,
inference(superposition,[],[f73,f2018]) ).
fof(f73,plain,
! [X0,X1] : meet(X0,X1) = join(meet(meet(X0,X1),meet(X0,join(X0,X1))),meet(meet(X0,X1),X0)),
inference(superposition,[],[f51,f51]) ).
fof(f2307,plain,
! [X0,X1] : join(X0,X0) = join(meet(X0,X1),meet(join(meet(X0,join(X0,X0)),X0),join(X0,X1))),
inference(forward_demodulation,[],[f2306,f2107]) ).
fof(f2107,plain,
! [X0] : meet(join(X0,X0),X0) = X0,
inference(superposition,[],[f552,f2018]) ).
fof(f2306,plain,
! [X0,X1] : join(X0,X0) = join(meet(X0,X1),meet(join(meet(X0,join(X0,X0)),meet(join(X0,X0),X0)),join(X0,X1))),
inference(forward_demodulation,[],[f2305,f208]) ).
fof(f2305,plain,
! [X0,X1,X6,X7,X4,X5] : join(X0,X0) = join(meet(X0,X1),meet(join(meet(X0,join(X0,X0)),meet(join(meet(X4,join(join(meet(join(X0,X0),X5),meet(X6,join(X0,X0))),join(X0,X0))),meet(join(meet(join(X0,X0),meet(meet(join(join(X0,X0),X5),join(X6,join(X0,X0))),join(X0,X0))),meet(X7,join(join(X0,X0),meet(meet(join(join(X0,X0),X5),join(X6,join(X0,X0))),join(X0,X0))))),join(X4,join(join(meet(join(X0,X0),X5),meet(X6,join(X0,X0))),join(X0,X0))))),X0)),join(X0,X1))),
inference(forward_demodulation,[],[f2304,f2065]) ).
fof(f2065,plain,
! [X0] : join(X0,join(X0,X0)) = X0,
inference(superposition,[],[f748,f2018]) ).
fof(f748,plain,
! [X0] : join(meet(X0,X0),join(X0,X0)) = X0,
inference(forward_demodulation,[],[f684,f552]) ).
fof(f684,plain,
! [X2,X0,X1] : join(meet(X0,meet(meet(join(X0,X1),join(X2,X0)),X0)),join(X0,meet(meet(join(X0,X1),join(X2,X0)),X0))) = X0,
inference(superposition,[],[f389,f552]) ).
fof(f2304,plain,
! [X0,X1,X6,X7,X4,X5] : join(X0,X0) = join(meet(X0,X1),meet(join(meet(X0,join(X0,X0)),meet(join(meet(X4,join(join(meet(join(X0,X0),X5),meet(X6,join(X0,X0))),join(X0,X0))),meet(join(meet(join(X0,X0),meet(meet(join(join(X0,X0),X5),join(X6,join(X0,X0))),join(X0,X0))),meet(X7,join(join(X0,X0),meet(meet(join(join(X0,X0),X5),join(X6,join(X0,X0))),join(X0,X0))))),join(X4,join(join(meet(join(X0,X0),X5),meet(X6,join(X0,X0))),join(X0,X0))))),join(X0,join(X0,X0)))),join(X0,X1))),
inference(forward_demodulation,[],[f2303,f824]) ).
fof(f2303,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : join(X0,X0) = join(meet(X0,X1),meet(join(meet(X0,join(join(meet(join(X0,X0),X2),meet(X3,join(X0,X0))),join(X0,X0))),meet(join(meet(X4,join(join(meet(join(X0,X0),X5),meet(X6,join(X0,X0))),join(X0,X0))),meet(join(meet(join(X0,X0),meet(meet(join(join(X0,X0),X5),join(X6,join(X0,X0))),join(X0,X0))),meet(X7,join(join(X0,X0),meet(meet(join(join(X0,X0),X5),join(X6,join(X0,X0))),join(X0,X0))))),join(X4,join(join(meet(join(X0,X0),X5),meet(X6,join(X0,X0))),join(X0,X0))))),join(X0,join(join(meet(join(X0,X0),X2),meet(X3,join(X0,X0))),join(X0,X0))))),join(X0,X1))),
inference(forward_demodulation,[],[f2302,f2157]) ).
fof(f2302,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : join(X0,X0) = join(meet(join(meet(X0,join(X0,X0)),X0),X1),meet(join(meet(X0,join(join(meet(join(X0,X0),X2),meet(X3,join(X0,X0))),join(X0,X0))),meet(join(meet(X4,join(join(meet(join(X0,X0),X5),meet(X6,join(X0,X0))),join(X0,X0))),meet(join(meet(join(X0,X0),meet(meet(join(join(X0,X0),X5),join(X6,join(X0,X0))),join(X0,X0))),meet(X7,join(join(X0,X0),meet(meet(join(join(X0,X0),X5),join(X6,join(X0,X0))),join(X0,X0))))),join(X4,join(join(meet(join(X0,X0),X5),meet(X6,join(X0,X0))),join(X0,X0))))),join(X0,join(join(meet(join(X0,X0),X2),meet(X3,join(X0,X0))),join(X0,X0))))),join(join(meet(X0,join(X0,X0)),X0),X1))),
inference(forward_demodulation,[],[f2242,f2107]) ).
fof(f2242,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : join(X0,X0) = join(meet(join(meet(X0,join(X0,X0)),meet(join(X0,X0),X0)),X1),meet(join(meet(X0,join(join(meet(join(X0,X0),X2),meet(X3,join(X0,X0))),join(X0,X0))),meet(join(meet(X4,join(join(meet(join(X0,X0),X5),meet(X6,join(X0,X0))),join(X0,X0))),meet(join(meet(join(X0,X0),meet(meet(join(join(X0,X0),X5),join(X6,join(X0,X0))),join(X0,X0))),meet(X7,join(join(X0,X0),meet(meet(join(join(X0,X0),X5),join(X6,join(X0,X0))),join(X0,X0))))),join(X4,join(join(meet(join(X0,X0),X5),meet(X6,join(X0,X0))),join(X0,X0))))),join(X0,join(join(meet(join(X0,X0),X2),meet(X3,join(X0,X0))),join(X0,X0))))),join(join(meet(X0,join(X0,X0)),meet(join(X0,X0),X0)),X1))),
inference(superposition,[],[f12,f2065]) ).
fof(f5713,plain,
! [X0,X1] : meet(X1,join(X0,X0)) = meet(X0,meet(X1,join(X0,X0))),
inference(superposition,[],[f5620,f658]) ).
fof(f658,plain,
! [X3,X0] : join(meet(X0,X0),meet(X3,join(X0,X0))) = X0,
inference(superposition,[],[f389,f552]) ).
fof(f5620,plain,
! [X0,X1] : meet(join(X0,X1),X1) = X1,
inference(forward_demodulation,[],[f5619,f2436]) ).
fof(f2436,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(forward_demodulation,[],[f2346,f2018]) ).
fof(f2346,plain,
! [X0,X1] : join(meet(X0,X0),meet(X1,X0)) = X0,
inference(superposition,[],[f658,f2309]) ).
fof(f5619,plain,
! [X0,X1] : meet(join(X0,X1),X1) = join(X1,meet(meet(join(X0,X1),X1),X1)),
inference(forward_demodulation,[],[f5526,f5060]) ).
fof(f5060,plain,
! [X0,X1] : join(meet(X1,X0),X0) = X0,
inference(superposition,[],[f464,f4947]) ).
fof(f4947,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(forward_demodulation,[],[f4946,f2309]) ).
fof(f4946,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(X0,X0),
inference(forward_demodulation,[],[f4840,f1491]) ).
fof(f4840,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(meet(meet(X0,join(X1,X0)),X0),meet(meet(X0,join(X1,X0)),X0)),
inference(superposition,[],[f51,f4759]) ).
fof(f4759,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),X0) = X0,
inference(forward_demodulation,[],[f4627,f918]) ).
fof(f918,plain,
! [X3,X0] : join(join(meet(X0,X3),X0),X0) = X0,
inference(superposition,[],[f824,f552]) ).
fof(f4627,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),X0) = join(join(meet(X0,join(X1,X0)),X0),X0),
inference(superposition,[],[f2436,f4520]) ).
fof(f4520,plain,
! [X0,X1] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = X0,
inference(forward_demodulation,[],[f4519,f51]) ).
fof(f4519,plain,
! [X2,X0,X1] : join(meet(X0,X2),meet(X0,join(X0,X2))) = meet(X0,join(meet(X0,join(X1,X0)),X0)),
inference(forward_demodulation,[],[f4518,f4461]) ).
fof(f4461,plain,
! [X0,X1] : join(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0) = X0,
inference(forward_demodulation,[],[f4460,f1610]) ).
fof(f4460,plain,
! [X0,X1] : join(meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),X0) = X0,
inference(forward_demodulation,[],[f4459,f2018]) ).
fof(f4459,plain,
! [X0,X1] : join(meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f4400,f51]) ).
fof(f4400,plain,
! [X0,X1] : join(meet(join(meet(X0,X0),meet(X0,join(X0,X0))),meet(join(meet(X0,X0),meet(X0,join(X0,X0))),join(meet(join(meet(X0,X0),meet(X0,join(X0,X0))),join(X1,join(meet(X0,X0),meet(X0,join(X0,X0))))),join(meet(X0,X0),meet(X0,join(X0,X0)))))),meet(X0,join(meet(X0,X0),meet(X0,join(X0,X0))))) = X0,
inference(superposition,[],[f50,f1576]) ).
fof(f1576,plain,
! [X0,X1] : join(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))) = X0,
inference(superposition,[],[f464,f1491]) ).
fof(f50,plain,
! [X2,X1] : join(meet(join(meet(X1,X1),meet(X1,join(X1,X1))),X2),meet(X1,join(join(meet(X1,X1),meet(X1,join(X1,X1))),X2))) = X1,
inference(superposition,[],[f28,f28]) ).
fof(f4518,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = join(meet(X0,X2),meet(join(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0),join(X0,X2))),
inference(forward_demodulation,[],[f4517,f1610]) ).
fof(f4517,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = join(meet(X0,X2),meet(join(meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),X0),join(X0,X2))),
inference(forward_demodulation,[],[f4516,f1491]) ).
fof(f4516,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = join(meet(X0,X2),meet(join(meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0)),join(X0,X2))),
inference(forward_demodulation,[],[f4515,f208]) ).
fof(f4515,plain,
! [X2,X0,X1,X8,X6,X7,X5] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = join(meet(X0,X2),meet(join(meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),meet(join(meet(X5,join(join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X6),meet(X7,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),meet(meet(join(meet(X0,join(meet(X0,join(X1,X0)),X0)),X6),join(X7,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X8,join(meet(X0,join(meet(X0,join(X1,X0)),X0)),meet(meet(join(meet(X0,join(meet(X0,join(X1,X0)),X0)),X6),join(X7,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))))),join(X5,join(join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X6),meet(X7,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))))),X0)),join(X0,X2))),
inference(forward_demodulation,[],[f4514,f1576]) ).
fof(f4514,plain,
! [X2,X0,X1,X8,X6,X7,X5] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = join(meet(X0,X2),meet(join(meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),meet(join(meet(X5,join(join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X6),meet(X7,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),meet(meet(join(meet(X0,join(meet(X0,join(X1,X0)),X0)),X6),join(X7,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X8,join(meet(X0,join(meet(X0,join(X1,X0)),X0)),meet(meet(join(meet(X0,join(meet(X0,join(X1,X0)),X0)),X6),join(X7,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))))),join(X5,join(join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X6),meet(X7,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))))),join(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))))),join(X0,X2))),
inference(forward_demodulation,[],[f4513,f824]) ).
fof(f4513,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = join(meet(X0,X2),meet(join(meet(X0,join(join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X3),meet(X4,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(join(meet(X5,join(join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X6),meet(X7,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),meet(meet(join(meet(X0,join(meet(X0,join(X1,X0)),X0)),X6),join(X7,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X8,join(meet(X0,join(meet(X0,join(X1,X0)),X0)),meet(meet(join(meet(X0,join(meet(X0,join(X1,X0)),X0)),X6),join(X7,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))))),join(X5,join(join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X6),meet(X7,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))))),join(X0,join(join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X3),meet(X4,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))))),join(X0,X2))),
inference(forward_demodulation,[],[f4512,f4461]) ).
fof(f4512,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = join(meet(join(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0),X2),meet(join(meet(X0,join(join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X3),meet(X4,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(join(meet(X5,join(join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X6),meet(X7,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),meet(meet(join(meet(X0,join(meet(X0,join(X1,X0)),X0)),X6),join(X7,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X8,join(meet(X0,join(meet(X0,join(X1,X0)),X0)),meet(meet(join(meet(X0,join(meet(X0,join(X1,X0)),X0)),X6),join(X7,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))))),join(X5,join(join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X6),meet(X7,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))))),join(X0,join(join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X3),meet(X4,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))))),join(join(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0),X2))),
inference(forward_demodulation,[],[f4511,f1610]) ).
fof(f4511,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = join(meet(join(meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),X0),X2),meet(join(meet(X0,join(join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X3),meet(X4,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(join(meet(X5,join(join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X6),meet(X7,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),meet(meet(join(meet(X0,join(meet(X0,join(X1,X0)),X0)),X6),join(X7,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X8,join(meet(X0,join(meet(X0,join(X1,X0)),X0)),meet(meet(join(meet(X0,join(meet(X0,join(X1,X0)),X0)),X6),join(X7,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))))),join(X5,join(join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X6),meet(X7,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))))),join(X0,join(join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X3),meet(X4,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))))),join(join(meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),X0),X2))),
inference(forward_demodulation,[],[f4413,f1491]) ).
fof(f4413,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = join(meet(join(meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0)),X2),meet(join(meet(X0,join(join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X3),meet(X4,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(join(meet(X5,join(join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X6),meet(X7,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),meet(meet(join(meet(X0,join(meet(X0,join(X1,X0)),X0)),X6),join(X7,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X8,join(meet(X0,join(meet(X0,join(X1,X0)),X0)),meet(meet(join(meet(X0,join(meet(X0,join(X1,X0)),X0)),X6),join(X7,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))))),join(X5,join(join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X6),meet(X7,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))))),join(X0,join(join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X3),meet(X4,meet(X0,join(meet(X0,join(X1,X0)),X0)))),meet(X0,join(meet(X0,join(X1,X0)),X0)))))),join(join(meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0)),X2))),
inference(superposition,[],[f12,f1576]) ).
fof(f5526,plain,
! [X0,X1] : meet(join(X0,X1),X1) = join(X1,meet(meet(join(X0,X1),X1),join(meet(join(X0,X1),X1),X1))),
inference(superposition,[],[f51,f5118]) ).
fof(f5118,plain,
! [X0,X1] : meet(meet(join(X1,X0),X0),X0) = X0,
inference(superposition,[],[f1100,f4947]) ).
fof(f824,plain,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
inference(superposition,[],[f658,f211]) ).
fof(f211,plain,
! [X2,X3,X0,X1] : join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(X1,join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))) = X1,
inference(forward_demodulation,[],[f210,f208]) ).
fof(f210,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)))),join(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))) = X1,
inference(forward_demodulation,[],[f209,f51]) ).
fof(f209,plain,
! [X2,X3,X10,X0,X1,X6,X7,X4,X5] : join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)))),join(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))) = join(meet(X1,X10),meet(X1,join(X1,X10))),
inference(forward_demodulation,[],[f167,f12]) ).
fof(f167,plain,
! [X2,X3,X10,X0,X1,X6,X7,X4,X5] : join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)))),join(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))) = join(meet(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)))),join(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1))))),meet(join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)))),join(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)))),join(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1))))))),X10),meet(X1,join(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)))),join(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1))))),meet(join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)))),join(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)))),join(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1))))))),X10))),
inference(superposition,[],[f55,f12]) ).
fof(f2,axiom,
b != join(join(meet(a,b),meet(c,b)),b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wal_axioms_6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.31 % Problem : LAT097-1 : TPTP v8.1.2. Released v2.6.0.
% 0.10/0.33 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.54 % Computer : n009.cluster.edu
% 0.16/0.54 % Model : x86_64 x86_64
% 0.16/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.54 % Memory : 8042.1875MB
% 0.16/0.54 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.54 % CPULimit : 300
% 0.16/0.54 % WCLimit : 300
% 0.16/0.54 % DateTime : Mon Apr 29 21:23:56 EDT 2024
% 0.16/0.54 % CPUTime :
% 0.16/0.55 % (29056)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.56 % (29059)WARNING: value z3 for option sas not known
% 0.19/0.56 % (29060)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.19/0.56 % (29061)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.19/0.56 % (29059)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.19/0.56 % (29063)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.19/0.56 % (29062)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.19/0.56 % (29058)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.19/0.56 TRYING [1]
% 0.19/0.56 TRYING [2]
% 0.19/0.56 % (29057)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.57 TRYING [3]
% 0.19/0.58 TRYING [1]
% 0.19/0.59 TRYING [2]
% 0.19/0.61 TRYING [3]
% 0.19/0.83 % (29063)First to succeed.
% 0.19/0.84 % (29063)Refutation found. Thanks to Tanya!
% 0.19/0.84 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.84 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.84 % (29063)------------------------------
% 0.19/0.84 % (29063)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.84 % (29063)Termination reason: Refutation
% 0.19/0.84
% 0.19/0.84 % (29063)Memory used [KB]: 5484
% 0.19/0.84 % (29063)Time elapsed: 0.277 s
% 0.19/0.84 % (29063)Instructions burned: 658 (million)
% 0.19/0.84 % (29063)------------------------------
% 0.19/0.84 % (29063)------------------------------
% 0.19/0.84 % (29056)Success in time 0.292 s
%------------------------------------------------------------------------------