TSTP Solution File: LAT254-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LAT254-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 20:25:30 EDT 2024
% Result : Unsatisfiable 209.95s 26.82s
% Output : CNFRefutation 211.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 15
% Syntax : Number of formulae : 99 ( 88 unt; 0 def)
% Number of atoms : 112 ( 98 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 13 ~; 11 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 194 ( 194 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X] : join(X,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : join(X,meet(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : meet(X,Y) = meet(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : join(X,Y) = join(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z] : meet(meet(X,Y),Z) = meet(X,meet(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,Z] : join(join(X,Y),Z) = join(X,join(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] : join(X,complement(X)) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] : meet(X,complement(X)) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y] :
( meet(X,Y) != zero
| join(X,Y) != one
| complement(X) = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,Y,Z,U] : meet(X,join(Y,meet(Z,join(X,U)))) = meet(X,join(meet(X,join(Y,meet(X,Z))),meet(Z,U))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
meet(b,a) = a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
join(complement(b),complement(a)) != complement(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,plain,
! [X0] : join(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f17,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f18,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f19,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f20,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f21,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f22,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f23,plain,
! [X0] : join(X0,complement(X0)) = one,
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f24,plain,
! [X0] : meet(X0,complement(X0)) = zero,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f25,plain,
! [X0,X1] :
( meet(X0,X1) != zero
| join(X0,X1) != one
| complement(X0) = X1 ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f26,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(X0,join(meet(X0,join(X1,meet(X0,X2))),meet(X2,X3))),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f27,plain,
meet(b,a) = a,
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f28,plain,
join(complement(b),complement(a)) != complement(a),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f32,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f20,f17]) ).
fof(f42,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(paramodulation,[status(thm)],[f20,f22]) ).
fof(f43,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(forward_demodulation,[status(thm)],[f22,f42]) ).
fof(f46,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(paramodulation,[status(thm)],[f16,f22]) ).
fof(f50,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,join(X1,X2))) = join(X0,X1),
inference(paramodulation,[status(thm)],[f22,f17]) ).
fof(f52,plain,
join(b,a) = b,
inference(paramodulation,[status(thm)],[f27,f18]) ).
fof(f53,plain,
! [X0,X1,X2] : meet(X0,join(X1,join(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f22,f32]) ).
fof(f54,plain,
! [X0,X1] : meet(meet(X0,X1),X0) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f18,f32]) ).
fof(f55,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f21,f54]) ).
fof(f87,plain,
! [X0,X1,X2] : meet(X0,join(join(X1,X0),X2)) = X0,
inference(paramodulation,[status(thm)],[f20,f53]) ).
fof(f88,plain,
! [X0,X1,X2] : meet(X0,join(X1,join(X0,X2))) = X0,
inference(forward_demodulation,[status(thm)],[f22,f87]) ).
fof(f95,plain,
! [X0,X1,X2] : meet(meet(X0,X1),join(X2,X0)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f18,f53]) ).
fof(f96,plain,
! [X0,X1,X2] : meet(X0,meet(X1,join(X2,X0))) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f21,f95]) ).
fof(f196,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(X0,join(meet(X0,join(meet(X0,X2),X1)),meet(X2,X3))),
inference(paramodulation,[status(thm)],[f20,f26]) ).
fof(f341,plain,
! [X0,X1] : meet(X0,meet(X0,X1)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f19,f55]) ).
fof(f342,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f19,f18]) ).
fof(f363,plain,
! [X0] : join(X0,complement(X0)) = join(X0,one),
inference(paramodulation,[status(thm)],[f23,f46]) ).
fof(f364,plain,
! [X0] : one = join(X0,one),
inference(forward_demodulation,[status(thm)],[f23,f363]) ).
fof(f368,plain,
! [X0] : meet(X0,one) = X0,
inference(paramodulation,[status(thm)],[f23,f17]) ).
fof(f500,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,X0)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f55,f342]) ).
fof(f579,plain,
! [X0,X1,X2,X3] : meet(X0,X1) = meet(X0,meet(X1,join(X2,join(meet(X0,X1),X3)))),
inference(paramodulation,[status(thm)],[f88,f21]) ).
fof(f582,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X0,meet(X1,join(meet(X0,X1),X2))),
inference(paramodulation,[status(thm)],[f17,f21]) ).
fof(f605,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X0,meet(join(X2,X0),X1)),
inference(paramodulation,[status(thm)],[f32,f21]) ).
fof(f607,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
inference(paramodulation,[status(thm)],[f19,f21]) ).
fof(f608,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(forward_demodulation,[status(thm)],[f21,f607]) ).
fof(f836,plain,
! [X0,X1] : join(X0,one) = join(X1,join(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f23,f43]) ).
fof(f837,plain,
! [X0,X1] : one = join(X0,join(X1,complement(X0))),
inference(forward_demodulation,[status(thm)],[f364,f836]) ).
fof(f992,plain,
! [X0,X1,X2,X3] : meet(X0,meet(X1,join(X2,join(X3,X0)))) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f22,f96]) ).
fof(f1210,plain,
! [X0] : meet(X0,zero) = meet(X0,complement(X0)),
inference(paramodulation,[status(thm)],[f24,f341]) ).
fof(f1211,plain,
! [X0] : meet(X0,zero) = zero,
inference(forward_demodulation,[status(thm)],[f24,f1210]) ).
fof(f1216,plain,
! [X0,X1,X2] : meet(X0,join(X1,meet(complement(X0),join(X0,X2)))) = meet(X0,join(meet(X0,join(X1,zero)),meet(complement(X0),X2))),
inference(paramodulation,[status(thm)],[f24,f26]) ).
fof(f1221,plain,
! [X0] : join(X0,zero) = X0,
inference(paramodulation,[status(thm)],[f24,f18]) ).
fof(f1222,plain,
! [X0,X1,X2] : meet(X0,join(X1,meet(complement(X0),join(X0,X2)))) = meet(X0,join(meet(X0,X1),meet(complement(X0),X2))),
inference(backward_demodulation,[status(thm)],[f1221,f1216]) ).
fof(f1460,plain,
! [X0] : join(zero,X0) = X0,
inference(paramodulation,[status(thm)],[f20,f1221]) ).
fof(f1542,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X1,join(X0,X2))) = join(X1,X0),
inference(paramodulation,[status(thm)],[f20,f50]) ).
fof(f10131,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(X0,join(X2,X1)),
inference(paramodulation,[status(thm)],[f1542,f992]) ).
fof(f10284,plain,
! [X0,X1,X2] : meet(join(X0,X1),X2) = meet(X2,join(X1,X0)),
inference(paramodulation,[status(thm)],[f19,f10131]) ).
fof(f11136,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X2,join(meet(X1,X0),meet(X0,X1))),
inference(paramodulation,[status(thm)],[f500,f10284]) ).
fof(f11137,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X2,join(meet(X1,X0),meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f21,f11136]) ).
fof(f11138,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X2,meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f500,f11137]) ).
fof(f12287,plain,
! [X0,X1] : meet(X0,zero) = meet(complement(X1),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f24,f11138]) ).
fof(f12288,plain,
! [X0,X1] : zero = meet(complement(X0),meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1211,f12287]) ).
fof(f12289,plain,
! [X0,X1] : zero = meet(X0,meet(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f608,f12288]) ).
fof(f12892,plain,
! [X0,X1,X2] : meet(X0,meet(complement(join(X1,X0)),X2)) = meet(X0,zero),
inference(paramodulation,[status(thm)],[f12289,f605]) ).
fof(f12893,plain,
! [X0,X1,X2] : meet(X0,meet(complement(join(X1,X0)),X2)) = zero,
inference(forward_demodulation,[status(thm)],[f1211,f12892]) ).
fof(f12938,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,meet(meet(complement(X0),X2),join(X0,X3)))) = meet(X0,join(meet(X0,join(zero,X1)),meet(meet(complement(X0),X2),X3))),
inference(paramodulation,[status(thm)],[f12289,f196]) ).
fof(f12939,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,meet(complement(X0),meet(X2,join(X0,X3))))) = meet(X0,join(meet(X0,join(zero,X1)),meet(meet(complement(X0),X2),X3))),
inference(forward_demodulation,[status(thm)],[f21,f12938]) ).
fof(f12940,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,meet(complement(X0),meet(X2,join(X0,X3))))) = meet(X0,join(meet(X0,X1),meet(meet(complement(X0),X2),X3))),
inference(forward_demodulation,[status(thm)],[f1460,f12939]) ).
fof(f12941,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,meet(complement(X0),meet(X2,join(X0,X3))))) = meet(X0,join(meet(X0,X1),meet(complement(X0),meet(X2,X3)))),
inference(forward_demodulation,[status(thm)],[f21,f12940]) ).
fof(f12942,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,meet(complement(X0),meet(X2,join(X0,X3))))) = meet(X0,join(X1,meet(complement(X0),join(X0,meet(X2,X3))))),
inference(forward_demodulation,[status(thm)],[f1222,f12941]) ).
fof(f15957,plain,
! [X0] : meet(a,meet(complement(b),X0)) = zero,
inference(paramodulation,[status(thm)],[f52,f12893]) ).
fof(f16173,plain,
meet(a,complement(b)) = zero,
inference(paramodulation,[status(thm)],[f992,f15957]) ).
fof(f47752,plain,
! [X0] : meet(a,join(complement(b),meet(complement(a),join(a,X0)))) = meet(a,join(zero,meet(complement(a),X0))),
inference(paramodulation,[status(thm)],[f16173,f1222]) ).
fof(f47753,plain,
! [X0] : meet(a,join(complement(b),meet(complement(a),join(a,X0)))) = meet(a,meet(complement(a),X0)),
inference(forward_demodulation,[status(thm)],[f1460,f47752]) ).
fof(f47754,plain,
! [X0] : meet(a,join(complement(b),meet(complement(a),join(a,X0)))) = zero,
inference(forward_demodulation,[status(thm)],[f12289,f47753]) ).
fof(f47994,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,meet(complement(X0),join(X0,meet(X2,join(meet(complement(X0),X2),X3)))))) = meet(X0,join(meet(X0,X1),meet(complement(X0),X2))),
inference(paramodulation,[status(thm)],[f582,f1222]) ).
fof(f47995,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,meet(complement(X0),meet(X2,join(X0,join(meet(complement(X0),X2),X3)))))) = meet(X0,join(meet(X0,X1),meet(complement(X0),X2))),
inference(forward_demodulation,[status(thm)],[f12942,f47994]) ).
fof(f47996,plain,
! [X0,X1,X2] : meet(X0,join(X1,meet(complement(X0),X2))) = meet(X0,join(meet(X0,X1),meet(complement(X0),X2))),
inference(forward_demodulation,[status(thm)],[f579,f47995]) ).
fof(f47997,plain,
! [X0,X1,X2] : meet(X0,join(X1,meet(complement(X0),X2))) = meet(X0,join(X1,meet(complement(X0),join(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f1222,f47996]) ).
fof(f48540,plain,
! [X0] : meet(a,join(complement(b),meet(complement(a),X0))) = zero,
inference(backward_demodulation,[status(thm)],[f47997,f47754]) ).
fof(f49168,plain,
meet(a,join(complement(b),complement(a))) = zero,
inference(paramodulation,[status(thm)],[f368,f48540]) ).
fof(f49445,plain,
( spl0_35
<=> join(a,join(complement(b),complement(a))) = one ),
introduced(split_symbol_definition) ).
fof(f49447,plain,
( join(a,join(complement(b),complement(a))) != one
| spl0_35 ),
inference(component_clause,[status(thm)],[f49445]) ).
fof(f49448,plain,
( spl0_36
<=> complement(a) = join(complement(b),complement(a)) ),
introduced(split_symbol_definition) ).
fof(f49449,plain,
( complement(a) = join(complement(b),complement(a))
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f49448]) ).
fof(f49451,plain,
( join(a,join(complement(b),complement(a))) != one
| complement(a) = join(complement(b),complement(a)) ),
inference(resolution,[status(thm)],[f49168,f25]) ).
fof(f49452,plain,
( ~ spl0_35
| spl0_36 ),
inference(split_clause,[status(thm)],[f49451,f49445,f49448]) ).
fof(f49659,plain,
( one != one
| spl0_35 ),
inference(forward_demodulation,[status(thm)],[f837,f49447]) ).
fof(f49660,plain,
( $false
| spl0_35 ),
inference(trivial_equality_resolution,[status(esa)],[f49659]) ).
fof(f49661,plain,
spl0_35,
inference(contradiction_clause,[status(thm)],[f49660]) ).
fof(f49662,plain,
( $false
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f49449,f28]) ).
fof(f49663,plain,
~ spl0_36,
inference(contradiction_clause,[status(thm)],[f49662]) ).
fof(f49664,plain,
$false,
inference(sat_refutation,[status(thm)],[f49452,f49661,f49663]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.10 % Problem : LAT254-1 : TPTP v8.1.2. Released v3.1.0.
% 0.04/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n025.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Mon Apr 29 20:18:41 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.09/0.32 % Drodi V3.6.0
% 209.95/26.82 % Refutation found
% 209.95/26.82 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 209.95/26.82 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 213.19/27.64 % Elapsed time: 27.293921 seconds
% 213.19/27.64 % CPU time: 212.307418 seconds
% 213.19/27.64 % Total memory used: 1.132 GB
% 213.19/27.64 % Net memory used: 1.108 GB
%------------------------------------------------------------------------------