TSTP Solution File: LAT254-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% 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 : n002.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 : Wed May 31 12:17:09 EDT 2023
% Result : Unsatisfiable 112.39s 14.74s
% Output : CNFRefutation 113.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 15
% Syntax : Number of formulae : 97 ( 86 unt; 0 def)
% Number of atoms : 110 ( 96 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 : 7 ( 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 : 188 (; 188 !; 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,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/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,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(f35,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
inference(paramodulation,[status(thm)],[f20,f22]) ).
fof(f41,plain,
! [X0,X1,X2] : join(X0,X1) = join(X0,join(meet(X0,X2),X1)),
inference(paramodulation,[status(thm)],[f18,f22]) ).
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(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(f68,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(paramodulation,[status(thm)],[f20,f46]) ).
fof(f169,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X1,X0)),
inference(paramodulation,[status(thm)],[f20,f35]) ).
fof(f268,plain,
! [X0,X1,X2] : join(X0,join(X1,meet(X0,X2))) = join(X0,join(meet(X0,X2),X1)),
inference(paramodulation,[status(thm)],[f68,f41]) ).
fof(f269,plain,
! [X0,X1,X2] : join(X0,join(X1,meet(X0,X2))) = join(X0,X1),
inference(forward_demodulation,[status(thm)],[f41,f268]) ).
fof(f462,plain,
! [X0,X1,X2,X3,X4] : meet(X0,join(join(X1,X2),meet(X3,join(X0,X4)))) = meet(X0,join(meet(X0,join(X1,join(X2,meet(X0,X3)))),meet(X3,X4))),
inference(paramodulation,[status(thm)],[f22,f26]) ).
fof(f463,plain,
! [X0,X1,X2,X3,X4] : meet(X0,join(X1,join(X2,meet(X3,join(X0,X4))))) = meet(X0,join(meet(X0,join(X1,join(X2,meet(X0,X3)))),meet(X3,X4))),
inference(forward_demodulation,[status(thm)],[f22,f462]) ).
fof(f635,plain,
! [X0,X1,X2] : join(X0,X1) = join(X0,join(meet(X2,X0),X1)),
inference(paramodulation,[status(thm)],[f19,f41]) ).
fof(f637,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f19,f18]) ).
fof(f663,plain,
! [X0] : join(X0,complement(X0)) = join(X0,one),
inference(paramodulation,[status(thm)],[f23,f46]) ).
fof(f664,plain,
! [X0] : one = join(X0,one),
inference(forward_demodulation,[status(thm)],[f23,f663]) ).
fof(f670,plain,
! [X0] : meet(X0,one) = X0,
inference(paramodulation,[status(thm)],[f23,f17]) ).
fof(f680,plain,
! [X0] : meet(one,X0) = X0,
inference(paramodulation,[status(thm)],[f19,f670]) ).
fof(f847,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(f853,plain,
! [X0] : join(X0,zero) = X0,
inference(paramodulation,[status(thm)],[f24,f18]) ).
fof(f854,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)],[f853,f847]) ).
fof(f858,plain,
! [X0] : join(zero,X0) = X0,
inference(paramodulation,[status(thm)],[f20,f853]) ).
fof(f877,plain,
! [X0] : meet(zero,X0) = zero,
inference(paramodulation,[status(thm)],[f853,f32]) ).
fof(f995,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,X0)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f55,f637]) ).
fof(f1016,plain,
! [X0,X1,X2] : join(X0,meet(X1,meet(X0,X2))) = join(X0,meet(X0,X2)),
inference(paramodulation,[status(thm)],[f637,f41]) ).
fof(f1017,plain,
! [X0,X1,X2] : join(X0,meet(X1,meet(X0,X2))) = X0,
inference(forward_demodulation,[status(thm)],[f18,f1016]) ).
fof(f1024,plain,
! [X0,X1,X2] : join(X0,join(X1,meet(X2,X0))) = join(X1,X0),
inference(paramodulation,[status(thm)],[f637,f43]) ).
fof(f1065,plain,
! [X0] : meet(a,X0) = meet(b,meet(a,X0)),
inference(paramodulation,[status(thm)],[f27,f21]) ).
fof(f1069,plain,
! [X0,X1] : meet(zero,X0) = meet(X1,meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f24,f21]) ).
fof(f1070,plain,
! [X0,X1] : zero = meet(X0,meet(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f877,f1069]) ).
fof(f1119,plain,
( spl0_0
<=> meet(a,join(complement(b),complement(a))) = zero ),
introduced(split_symbol_definition) ).
fof(f1121,plain,
( meet(a,join(complement(b),complement(a))) != zero
| spl0_0 ),
inference(component_clause,[status(thm)],[f1119]) ).
fof(f1122,plain,
( spl0_1
<=> join(a,join(complement(b),complement(a))) = one ),
introduced(split_symbol_definition) ).
fof(f1124,plain,
( join(a,join(complement(b),complement(a))) != one
| spl0_1 ),
inference(component_clause,[status(thm)],[f1122]) ).
fof(f1125,plain,
( meet(a,join(complement(b),complement(a))) != zero
| join(a,join(complement(b),complement(a))) != one ),
inference(resolution,[status(thm)],[f25,f28]) ).
fof(f1126,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1125,f1119,f1122]) ).
fof(f1142,plain,
! [X0,X1] : meet(one,join(X0,join(complement(X0),X1))) = join(X0,complement(X0)),
inference(paramodulation,[status(thm)],[f23,f50]) ).
fof(f1143,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(X0,complement(X0)),
inference(forward_demodulation,[status(thm)],[f680,f1142]) ).
fof(f1144,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = one,
inference(forward_demodulation,[status(thm)],[f23,f1143]) ).
fof(f1389,plain,
! [X0,X1] : zero = meet(X0,meet(X1,complement(X0))),
inference(paramodulation,[status(thm)],[f19,f1070]) ).
fof(f1552,plain,
! [X0,X1] : join(X0,join(X1,complement(X0))) = one,
inference(paramodulation,[status(thm)],[f20,f1144]) ).
fof(f2678,plain,
! [X0,X1,X2] : join(meet(X0,X1),X2) = join(meet(X0,X1),join(meet(X1,X0),X2)),
inference(paramodulation,[status(thm)],[f55,f635]) ).
fof(f2928,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(meet(X1,X0),X2)) = join(X2,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f995,f169]) ).
fof(f2929,plain,
! [X0,X1,X2] : join(meet(X0,X1),X2) = join(X2,meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f2678,f2928]) ).
fof(f3508,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,join(X2,meet(X1,join(X0,X3))))) = meet(X0,join(meet(X0,join(X2,X1)),meet(X1,X3))),
inference(paramodulation,[status(thm)],[f1024,f463]) ).
fof(f3509,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,X2)) = meet(X0,join(meet(X0,join(X2,X1)),meet(X1,X3))),
inference(forward_demodulation,[status(thm)],[f269,f3508]) ).
fof(f3560,plain,
! [X0,X1,X2,X3,X4] : meet(X0,join(X1,join(X2,meet(meet(X2,X3),join(X0,X4))))) = meet(X0,join(meet(X0,join(X1,X2)),meet(meet(X2,X3),X4))),
inference(paramodulation,[status(thm)],[f1017,f463]) ).
fof(f3561,plain,
! [X0,X1,X2,X3,X4] : meet(X0,join(X1,join(X2,meet(X2,meet(X3,join(X0,X4)))))) = meet(X0,join(meet(X0,join(X1,X2)),meet(meet(X2,X3),X4))),
inference(forward_demodulation,[status(thm)],[f21,f3560]) ).
fof(f3562,plain,
! [X0,X1,X2,X3,X4] : meet(X0,join(X1,X2)) = meet(X0,join(meet(X0,join(X1,X2)),meet(meet(X2,X3),X4))),
inference(forward_demodulation,[status(thm)],[f18,f3561]) ).
fof(f3563,plain,
! [X0,X1,X2,X3,X4] : meet(X0,join(X1,X2)) = meet(X0,join(meet(X0,join(X1,X2)),meet(X2,meet(X3,X4)))),
inference(forward_demodulation,[status(thm)],[f21,f3562]) ).
fof(f3564,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(X0,join(X2,X1)),
inference(forward_demodulation,[status(thm)],[f3509,f3563]) ).
fof(f3804,plain,
meet(a,complement(b)) = zero,
inference(paramodulation,[status(thm)],[f1389,f1065]) ).
fof(f5206,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,meet(X2,X3))) = meet(X0,join(X1,meet(X3,X2))),
inference(paramodulation,[status(thm)],[f2929,f3564]) ).
fof(f30627,plain,
! [X0,X1] : meet(X0,join(X1,meet(complement(X0),join(X0,one)))) = meet(X0,join(meet(X0,X1),complement(X0))),
inference(paramodulation,[status(thm)],[f670,f854]) ).
fof(f30628,plain,
! [X0,X1] : meet(X0,join(X1,meet(complement(X0),one))) = meet(X0,join(meet(X0,X1),complement(X0))),
inference(forward_demodulation,[status(thm)],[f664,f30627]) ).
fof(f30629,plain,
! [X0,X1] : meet(X0,join(X1,meet(one,complement(X0)))) = meet(X0,join(meet(X0,X1),complement(X0))),
inference(forward_demodulation,[status(thm)],[f5206,f30628]) ).
fof(f30630,plain,
! [X0,X1] : meet(X0,join(X1,complement(X0))) = meet(X0,join(meet(X0,X1),complement(X0))),
inference(forward_demodulation,[status(thm)],[f680,f30629]) ).
fof(f30631,plain,
! [X0,X1] : meet(X0,join(X1,complement(X0))) = meet(X0,join(complement(X0),meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f3564,f30630]) ).
fof(f31917,plain,
meet(a,join(complement(b),complement(a))) = meet(a,join(complement(a),zero)),
inference(paramodulation,[status(thm)],[f3804,f30631]) ).
fof(f31918,plain,
meet(a,join(complement(b),complement(a))) = meet(a,join(zero,complement(a))),
inference(forward_demodulation,[status(thm)],[f3564,f31917]) ).
fof(f31919,plain,
meet(a,join(complement(b),complement(a))) = meet(a,complement(a)),
inference(forward_demodulation,[status(thm)],[f858,f31918]) ).
fof(f31920,plain,
meet(a,join(complement(b),complement(a))) = zero,
inference(forward_demodulation,[status(thm)],[f24,f31919]) ).
fof(f31921,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f31920,f1121]) ).
fof(f31922,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f31921]) ).
fof(f32373,plain,
( one != one
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f1552,f1124]) ).
fof(f32374,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f32373]) ).
fof(f32375,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f32374]) ).
fof(f32376,plain,
$false,
inference(sat_refutation,[status(thm)],[f1126,f31922,f32375]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : LAT254-1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n002.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 09:43:58 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.5.1
% 112.39/14.74 % Refutation found
% 112.39/14.74 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 112.39/14.74 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 114.78/14.98 % Elapsed time: 14.634650 seconds
% 114.78/14.98 % CPU time: 113.993081 seconds
% 114.78/14.98 % Memory used: 603.302 MB
%------------------------------------------------------------------------------