TSTP Solution File: LAT249-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LAT249-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 20:25:29 EDT 2024
% Result : Unsatisfiable 4.15s 0.91s
% Output : CNFRefutation 4.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 76 ( 65 unt; 0 def)
% Number of atoms : 89 ( 75 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 : 8 ( 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 : 116 ( 116 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X] : join(X,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : join(X,meet(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : meet(X,Y) = meet(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : join(X,Y) = join(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z] : meet(meet(X,Y),Z) = meet(X,meet(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,Z] : join(join(X,Y),Z) = join(X,join(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] : join(X,complement(X)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] : meet(X,complement(X)) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y] :
( meet(X,Y) != zero
| join(X,Y) != one
| complement(X) = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,Y,Z] : meet(X,join(Y,Z)) = meet(X,join(Y,meet(X,join(Z,meet(X,join(Y,meet(X,Z))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
meet(b,a) = a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
join(complement(b),complement(a)) != complement(a),
file('/export/starexec/sandbox/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] : meet(X0,join(X1,X2)) = meet(X0,join(X1,meet(X0,join(X2,meet(X0,join(X1,meet(X0,X2))))))),
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(f41,plain,
! [X0,X1,X2] : join(X0,X1) = join(X0,join(meet(X0,X2),X1)),
inference(paramodulation,[status(thm)],[f18,f22]) ).
fof(f46,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(paramodulation,[status(thm)],[f16,f22]) ).
fof(f52,plain,
join(b,a) = b,
inference(paramodulation,[status(thm)],[f27,f18]) ).
fof(f74,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(paramodulation,[status(thm)],[f20,f46]) ).
fof(f112,plain,
! [X0,X1] : meet(join(X0,X1),join(X1,X0)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f74,f32]) ).
fof(f656,plain,
! [X0] : join(X0,complement(X0)) = join(X0,one),
inference(paramodulation,[status(thm)],[f23,f46]) ).
fof(f657,plain,
! [X0] : one = join(X0,one),
inference(forward_demodulation,[status(thm)],[f23,f656]) ).
fof(f770,plain,
! [X0,X1] : meet(X0,join(X1,complement(X0))) = meet(X0,join(X1,meet(X0,join(complement(X0),meet(X0,join(X1,zero)))))),
inference(paramodulation,[status(thm)],[f24,f26]) ).
fof(f775,plain,
! [X0] : join(X0,zero) = X0,
inference(paramodulation,[status(thm)],[f24,f18]) ).
fof(f776,plain,
! [X0,X1] : meet(X0,join(X1,complement(X0))) = meet(X0,join(X1,meet(X0,join(complement(X0),meet(X0,X1))))),
inference(backward_demodulation,[status(thm)],[f775,f770]) ).
fof(f778,plain,
! [X0] : join(zero,X0) = X0,
inference(paramodulation,[status(thm)],[f20,f775]) ).
fof(f798,plain,
! [X0] : meet(zero,X0) = zero,
inference(paramodulation,[status(thm)],[f775,f32]) ).
fof(f870,plain,
! [X0] : meet(X0,zero) = zero,
inference(paramodulation,[status(thm)],[f19,f798]) ).
fof(f990,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X2,X0)),
inference(paramodulation,[status(thm)],[f19,f21]) ).
fof(f1015,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X0,meet(join(X2,X0),X1)),
inference(paramodulation,[status(thm)],[f32,f21]) ).
fof(f1017,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
inference(paramodulation,[status(thm)],[f19,f21]) ).
fof(f1018,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(forward_demodulation,[status(thm)],[f21,f1017]) ).
fof(f1065,plain,
( spl0_0
<=> meet(a,join(complement(b),complement(a))) = zero ),
introduced(split_symbol_definition) ).
fof(f1067,plain,
( meet(a,join(complement(b),complement(a))) != zero
| spl0_0 ),
inference(component_clause,[status(thm)],[f1065]) ).
fof(f1068,plain,
( spl0_1
<=> join(a,join(complement(b),complement(a))) = one ),
introduced(split_symbol_definition) ).
fof(f1070,plain,
( join(a,join(complement(b),complement(a))) != one
| spl0_1 ),
inference(component_clause,[status(thm)],[f1068]) ).
fof(f1071,plain,
( meet(a,join(complement(b),complement(a))) != zero
| join(a,join(complement(b),complement(a))) != one ),
inference(resolution,[status(thm)],[f25,f28]) ).
fof(f1072,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1071,f1065,f1068]) ).
fof(f1091,plain,
! [X0,X1] : join(X0,complement(meet(X0,X1))) = join(X0,one),
inference(paramodulation,[status(thm)],[f23,f41]) ).
fof(f1092,plain,
! [X0,X1] : join(X0,complement(meet(X0,X1))) = one,
inference(forward_demodulation,[status(thm)],[f657,f1091]) ).
fof(f1367,plain,
! [X0,X1] : join(X0,complement(meet(X1,X0))) = one,
inference(paramodulation,[status(thm)],[f19,f1092]) ).
fof(f1712,plain,
! [X0,X1] : join(join(X0,X1),complement(X0)) = one,
inference(paramodulation,[status(thm)],[f17,f1367]) ).
fof(f1713,plain,
! [X0,X1] : join(X0,join(X1,complement(X0))) = one,
inference(forward_demodulation,[status(thm)],[f22,f1712]) ).
fof(f4163,plain,
! [X0,X1,X2] : meet(join(X0,X1),meet(X2,join(X1,X0))) = meet(X2,join(X1,X0)),
inference(paramodulation,[status(thm)],[f112,f990]) ).
fof(f4327,plain,
! [X0,X1] : meet(X0,complement(join(X1,X0))) = meet(X0,zero),
inference(paramodulation,[status(thm)],[f24,f1015]) ).
fof(f4328,plain,
! [X0,X1] : meet(X0,complement(join(X1,X0))) = zero,
inference(forward_demodulation,[status(thm)],[f870,f4327]) ).
fof(f5080,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(join(X1,X2),meet(X0,join(X2,X1))),
inference(paramodulation,[status(thm)],[f112,f1018]) ).
fof(f5081,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(X0,join(X2,X1)),
inference(forward_demodulation,[status(thm)],[f4163,f5080]) ).
fof(f11133,plain,
! [X0,X1] : meet(X0,join(complement(join(X1,X0)),complement(X0))) = meet(X0,join(complement(join(X1,X0)),meet(X0,join(complement(X0),zero)))),
inference(paramodulation,[status(thm)],[f4328,f776]) ).
fof(f11134,plain,
! [X0,X1] : meet(X0,join(complement(X0),complement(join(X1,X0)))) = meet(X0,join(complement(join(X1,X0)),meet(X0,join(complement(X0),zero)))),
inference(forward_demodulation,[status(thm)],[f5081,f11133]) ).
fof(f11135,plain,
! [X0,X1] : meet(X0,join(complement(X0),complement(join(X1,X0)))) = meet(X0,join(complement(join(X1,X0)),meet(X0,join(zero,complement(X0))))),
inference(forward_demodulation,[status(thm)],[f5081,f11134]) ).
fof(f11136,plain,
! [X0,X1] : meet(X0,join(complement(X0),complement(join(X1,X0)))) = meet(X0,join(complement(join(X1,X0)),meet(X0,complement(X0)))),
inference(forward_demodulation,[status(thm)],[f778,f11135]) ).
fof(f11137,plain,
! [X0,X1] : meet(X0,join(complement(X0),complement(join(X1,X0)))) = meet(X0,join(complement(join(X1,X0)),zero)),
inference(forward_demodulation,[status(thm)],[f24,f11136]) ).
fof(f11138,plain,
! [X0,X1] : meet(X0,join(complement(X0),complement(join(X1,X0)))) = meet(X0,join(zero,complement(join(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f5081,f11137]) ).
fof(f11139,plain,
! [X0,X1] : meet(X0,join(complement(X0),complement(join(X1,X0)))) = meet(X0,complement(join(X1,X0))),
inference(forward_demodulation,[status(thm)],[f778,f11138]) ).
fof(f11140,plain,
! [X0,X1] : meet(X0,join(complement(X0),complement(join(X1,X0)))) = zero,
inference(forward_demodulation,[status(thm)],[f4328,f11139]) ).
fof(f13475,plain,
meet(a,join(complement(a),complement(b))) = zero,
inference(paramodulation,[status(thm)],[f52,f11140]) ).
fof(f13476,plain,
meet(a,join(complement(b),complement(a))) = zero,
inference(forward_demodulation,[status(thm)],[f5081,f13475]) ).
fof(f13477,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f13476,f1067]) ).
fof(f13478,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f13477]) ).
fof(f13680,plain,
( one != one
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f1713,f1070]) ).
fof(f13681,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f13680]) ).
fof(f13682,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f13681]) ).
fof(f13683,plain,
$false,
inference(sat_refutation,[status(thm)],[f1072,f13478,f13682]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LAT249-1 : TPTP v8.1.2. Released v3.1.0.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n011.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Apr 29 20:03:46 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 4.15/0.91 % Refutation found
% 4.15/0.91 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.15/0.91 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.15/0.95 % Elapsed time: 0.602248 seconds
% 4.15/0.95 % CPU time: 4.600411 seconds
% 4.15/0.95 % Total memory used: 99.502 MB
% 4.15/0.95 % Net memory used: 98.180 MB
%------------------------------------------------------------------------------