TSTP Solution File: TOP049-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : TOP049-1 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 20:55:18 EDT 2024
% Result : Unsatisfiable 0.17s 0.38s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 13
% Syntax : Number of formulae : 117 ( 117 unt; 0 def)
% Number of atoms : 117 ( 116 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 23 ( 23 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-9 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : product(X,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : product(product(X,Y),Y) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : product(product(X,Y),Z) = product(product(X,Z),product(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
a1 = product(a9,a7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
a3 = product(a1,a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
a2 = product(a3,a4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
a6 = product(a5,a4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
a7 = product(a6,a1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
a8 = product(a7,a4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
a10 = product(a8,a9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
a4 = product(a10,a3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
a9 = product(a4,a8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
tuple(a1,a9,a8,a6,a7,a2,a3,a4,a5) != tuple(a2,a10,a9,a7,a8,a3,a4,a5,a6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0] : product(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f16,plain,
! [X0,X1] : product(product(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f17,plain,
! [X0,X1,X2] : product(product(X0,X1),X2) = product(product(X0,X2),product(X1,X2)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f18,plain,
a1 = product(a9,a7),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f19,plain,
a3 = product(a1,a2),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f20,plain,
a2 = product(a3,a4),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f22,plain,
a6 = product(a5,a4),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f23,plain,
a7 = product(a6,a1),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f24,plain,
a8 = product(a7,a4),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f25,plain,
a10 = product(a8,a9),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f26,plain,
a4 = product(a10,a3),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f27,plain,
a9 = product(a4,a8),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f28,plain,
tuple(a1,a9,a8,a6,a7,a2,a3,a4,a5) != tuple(a2,a10,a9,a7,a8,a3,a4,a5,a6),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f30,plain,
product(a1,a7) = a9,
inference(paramodulation,[status(thm)],[f18,f16]) ).
fof(f31,plain,
product(a3,a2) = a1,
inference(paramodulation,[status(thm)],[f19,f16]) ).
fof(f32,plain,
product(a2,a4) = a3,
inference(paramodulation,[status(thm)],[f20,f16]) ).
fof(f34,plain,
! [X0] : product(product(a3,X0),a4) = product(a2,product(X0,a4)),
inference(paramodulation,[status(thm)],[f20,f17]) ).
fof(f36,plain,
! [X0] : product(product(a9,X0),a7) = product(a1,product(X0,a7)),
inference(paramodulation,[status(thm)],[f18,f17]) ).
fof(f39,plain,
! [X0,X1] : product(product(X0,X1),X0) = product(X0,product(X1,X0)),
inference(paramodulation,[status(thm)],[f15,f17]) ).
fof(f53,plain,
product(a6,a4) = a5,
inference(paramodulation,[status(thm)],[f22,f16]) ).
fof(f56,plain,
product(a7,a1) = a6,
inference(paramodulation,[status(thm)],[f23,f16]) ).
fof(f59,plain,
product(a8,a4) = a7,
inference(paramodulation,[status(thm)],[f24,f16]) ).
fof(f62,plain,
product(a10,a9) = a8,
inference(paramodulation,[status(thm)],[f25,f16]) ).
fof(f65,plain,
product(a4,a3) = a10,
inference(paramodulation,[status(thm)],[f26,f16]) ).
fof(f68,plain,
product(a9,a8) = a4,
inference(paramodulation,[status(thm)],[f27,f16]) ).
fof(f98,plain,
product(a1,a4) = product(a2,product(a2,a4)),
inference(paramodulation,[status(thm)],[f31,f34]) ).
fof(f99,plain,
product(a1,a4) = product(a2,a3),
inference(forward_demodulation,[status(thm)],[f32,f98]) ).
fof(f126,plain,
product(a9,a4) = product(a4,product(a8,a4)),
inference(paramodulation,[status(thm)],[f27,f39]) ).
fof(f127,plain,
product(a9,a4) = product(a4,a7),
inference(forward_demodulation,[status(thm)],[f59,f126]) ).
fof(f136,plain,
product(a6,a7) = product(a7,product(a1,a7)),
inference(paramodulation,[status(thm)],[f56,f39]) ).
fof(f137,plain,
product(a6,a7) = product(a7,a9),
inference(forward_demodulation,[status(thm)],[f30,f136]) ).
fof(f150,plain,
product(a2,a3) = product(a3,product(a4,a3)),
inference(paramodulation,[status(thm)],[f20,f39]) ).
fof(f151,plain,
product(a1,a4) = product(a3,product(a4,a3)),
inference(forward_demodulation,[status(thm)],[f99,f150]) ).
fof(f152,plain,
product(a1,a4) = product(a3,a10),
inference(forward_demodulation,[status(thm)],[f65,f151]) ).
fof(f156,plain,
product(a4,a9) = product(a9,product(a8,a9)),
inference(paramodulation,[status(thm)],[f68,f39]) ).
fof(f157,plain,
product(a4,a9) = product(a9,a10),
inference(forward_demodulation,[status(thm)],[f25,f156]) ).
fof(f212,plain,
product(product(a9,a4),a7) = a4,
inference(paramodulation,[status(thm)],[f127,f16]) ).
fof(f250,plain,
product(product(a1,a4),a10) = a3,
inference(paramodulation,[status(thm)],[f152,f16]) ).
fof(f265,plain,
product(a1,product(a4,a7)) = a4,
inference(forward_demodulation,[status(thm)],[f36,f212]) ).
fof(f266,plain,
product(a1,product(a9,a4)) = a4,
inference(forward_demodulation,[status(thm)],[f127,f265]) ).
fof(f271,plain,
product(a4,product(a9,a4)) = a1,
inference(paramodulation,[status(thm)],[f266,f16]) ).
fof(f459,plain,
product(a1,a4) = product(a4,product(product(a9,a4),a4)),
inference(paramodulation,[status(thm)],[f271,f39]) ).
fof(f460,plain,
product(a1,a4) = product(a4,a9),
inference(forward_demodulation,[status(thm)],[f16,f459]) ).
fof(f461,plain,
product(a1,a4) = product(a9,a10),
inference(forward_demodulation,[status(thm)],[f157,f460]) ).
fof(f476,plain,
product(product(a1,a4),a10) = a9,
inference(paramodulation,[status(thm)],[f461,f16]) ).
fof(f477,plain,
a3 = a9,
inference(forward_demodulation,[status(thm)],[f250,f476]) ).
fof(f484,plain,
product(a4,a9) = a10,
inference(backward_demodulation,[status(thm)],[f477,f65]) ).
fof(f485,plain,
tuple(a1,a9,a8,a6,a7,a2,a3,a4,a5) != tuple(a2,a10,a9,a7,a8,a9,a4,a5,a6),
inference(backward_demodulation,[status(thm)],[f477,f28]) ).
fof(f486,plain,
tuple(a1,a9,a8,a6,a7,a2,a9,a4,a5) != tuple(a2,a10,a9,a7,a8,a9,a4,a5,a6),
inference(forward_demodulation,[status(thm)],[f477,f485]) ).
fof(f487,plain,
product(a2,a4) = a9,
inference(backward_demodulation,[status(thm)],[f477,f32]) ).
fof(f489,plain,
a4 = product(a10,a9),
inference(backward_demodulation,[status(thm)],[f477,f26]) ).
fof(f490,plain,
a4 = a8,
inference(forward_demodulation,[status(thm)],[f62,f489]) ).
fof(f493,plain,
tuple(a1,a9,a8,a6,a7,a2,a9,a4,a5) != tuple(a2,a10,a9,a7,a4,a9,a4,a5,a6),
inference(backward_demodulation,[status(thm)],[f490,f486]) ).
fof(f494,plain,
tuple(a1,a9,a4,a6,a7,a2,a9,a4,a5) != tuple(a2,a10,a9,a7,a4,a9,a4,a5,a6),
inference(forward_demodulation,[status(thm)],[f490,f493]) ).
fof(f500,plain,
product(a4,a4) = a7,
inference(backward_demodulation,[status(thm)],[f490,f59]) ).
fof(f501,plain,
a4 = a7,
inference(forward_demodulation,[status(thm)],[f15,f500]) ).
fof(f502,plain,
a9 = product(a4,a4),
inference(backward_demodulation,[status(thm)],[f490,f27]) ).
fof(f503,plain,
a9 = a4,
inference(forward_demodulation,[status(thm)],[f15,f502]) ).
fof(f509,plain,
product(a4,product(a9,a7)) = a1,
inference(backward_demodulation,[status(thm)],[f501,f271]) ).
fof(f510,plain,
product(a7,product(a9,a7)) = a1,
inference(forward_demodulation,[status(thm)],[f501,f509]) ).
fof(f511,plain,
product(a7,a1) = a1,
inference(forward_demodulation,[status(thm)],[f18,f510]) ).
fof(f512,plain,
a6 = a1,
inference(forward_demodulation,[status(thm)],[f56,f511]) ).
fof(f514,plain,
product(a1,product(a9,a4)) = a7,
inference(backward_demodulation,[status(thm)],[f501,f266]) ).
fof(f515,plain,
product(a1,product(a9,a7)) = a7,
inference(forward_demodulation,[status(thm)],[f501,f514]) ).
fof(f516,plain,
product(a1,a1) = a7,
inference(forward_demodulation,[status(thm)],[f18,f515]) ).
fof(f517,plain,
a1 = a7,
inference(forward_demodulation,[status(thm)],[f15,f516]) ).
fof(f519,plain,
product(a9,a4) = product(a7,a7),
inference(backward_demodulation,[status(thm)],[f501,f127]) ).
fof(f520,plain,
product(a9,a7) = product(a7,a7),
inference(forward_demodulation,[status(thm)],[f501,f519]) ).
fof(f521,plain,
a1 = product(a7,a7),
inference(forward_demodulation,[status(thm)],[f18,f520]) ).
fof(f522,plain,
a1 = a7,
inference(forward_demodulation,[status(thm)],[f15,f521]) ).
fof(f525,plain,
product(a6,a7) = a5,
inference(backward_demodulation,[status(thm)],[f501,f53]) ).
fof(f526,plain,
product(a7,a9) = a5,
inference(forward_demodulation,[status(thm)],[f137,f525]) ).
fof(f528,plain,
a9 = a7,
inference(forward_demodulation,[status(thm)],[f501,f503]) ).
fof(f529,plain,
a4 = a9,
inference(backward_demodulation,[status(thm)],[f528,f501]) ).
fof(f552,plain,
a1 = a9,
inference(forward_demodulation,[status(thm)],[f528,f517]) ).
fof(f557,plain,
a4 = a1,
inference(forward_demodulation,[status(thm)],[f552,f529]) ).
fof(f567,plain,
product(a1,a9) = a10,
inference(forward_demodulation,[status(thm)],[f557,f484]) ).
fof(f568,plain,
product(a1,a1) = a10,
inference(forward_demodulation,[status(thm)],[f552,f567]) ).
fof(f569,plain,
a1 = a10,
inference(forward_demodulation,[status(thm)],[f15,f568]) ).
fof(f572,plain,
product(a2,a1) = a9,
inference(forward_demodulation,[status(thm)],[f557,f487]) ).
fof(f573,plain,
product(a2,a1) = a1,
inference(forward_demodulation,[status(thm)],[f552,f572]) ).
fof(f584,plain,
product(a1,a1) = a2,
inference(paramodulation,[status(thm)],[f573,f16]) ).
fof(f585,plain,
a1 = a2,
inference(forward_demodulation,[status(thm)],[f15,f584]) ).
fof(f588,plain,
tuple(a1,a1,a4,a6,a7,a2,a9,a4,a5) != tuple(a2,a10,a9,a7,a4,a9,a4,a5,a6),
inference(forward_demodulation,[status(thm)],[f552,f494]) ).
fof(f589,plain,
tuple(a1,a1,a1,a6,a7,a2,a9,a4,a5) != tuple(a2,a10,a9,a7,a4,a9,a4,a5,a6),
inference(forward_demodulation,[status(thm)],[f557,f588]) ).
fof(f590,plain,
tuple(a1,a1,a1,a1,a7,a2,a9,a4,a5) != tuple(a2,a10,a9,a7,a4,a9,a4,a5,a6),
inference(forward_demodulation,[status(thm)],[f512,f589]) ).
fof(f591,plain,
tuple(a1,a1,a1,a1,a1,a2,a9,a4,a5) != tuple(a2,a10,a9,a7,a4,a9,a4,a5,a6),
inference(forward_demodulation,[status(thm)],[f522,f590]) ).
fof(f592,plain,
tuple(a1,a1,a1,a1,a1,a1,a9,a4,a5) != tuple(a2,a10,a9,a7,a4,a9,a4,a5,a6),
inference(forward_demodulation,[status(thm)],[f585,f591]) ).
fof(f593,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a4,a5) != tuple(a2,a10,a9,a7,a4,a9,a4,a5,a6),
inference(forward_demodulation,[status(thm)],[f552,f592]) ).
fof(f594,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a5) != tuple(a2,a10,a9,a7,a4,a9,a4,a5,a6),
inference(forward_demodulation,[status(thm)],[f557,f593]) ).
fof(f595,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a5) != tuple(a1,a10,a9,a7,a4,a9,a4,a5,a6),
inference(forward_demodulation,[status(thm)],[f585,f594]) ).
fof(f596,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a5) != tuple(a1,a1,a9,a7,a4,a9,a4,a5,a6),
inference(forward_demodulation,[status(thm)],[f569,f595]) ).
fof(f597,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a5) != tuple(a1,a1,a1,a7,a4,a9,a4,a5,a6),
inference(forward_demodulation,[status(thm)],[f552,f596]) ).
fof(f598,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a5) != tuple(a1,a1,a1,a1,a4,a9,a4,a5,a6),
inference(forward_demodulation,[status(thm)],[f522,f597]) ).
fof(f599,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a5) != tuple(a1,a1,a1,a1,a1,a9,a4,a5,a6),
inference(forward_demodulation,[status(thm)],[f557,f598]) ).
fof(f600,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a5) != tuple(a1,a1,a1,a1,a1,a1,a4,a5,a6),
inference(forward_demodulation,[status(thm)],[f552,f599]) ).
fof(f601,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a5) != tuple(a1,a1,a1,a1,a1,a1,a1,a5,a6),
inference(forward_demodulation,[status(thm)],[f557,f600]) ).
fof(f602,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a5) != tuple(a1,a1,a1,a1,a1,a1,a1,a5,a1),
inference(forward_demodulation,[status(thm)],[f512,f601]) ).
fof(f626,plain,
product(a1,a9) = a5,
inference(forward_demodulation,[status(thm)],[f522,f526]) ).
fof(f627,plain,
product(a1,a1) = a5,
inference(forward_demodulation,[status(thm)],[f552,f626]) ).
fof(f628,plain,
a1 = a5,
inference(forward_demodulation,[status(thm)],[f15,f627]) ).
fof(f629,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a5) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(backward_demodulation,[status(thm)],[f628,f602]) ).
fof(f630,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(forward_demodulation,[status(thm)],[f628,f629]) ).
fof(f631,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f630]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : TOP049-1 : TPTP v8.1.2. Released v8.1.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Apr 29 22:31:14 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.6.0
% 0.17/0.38 % Refutation found
% 0.17/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.38 % Elapsed time: 0.051366 seconds
% 0.17/0.38 % CPU time: 0.323330 seconds
% 0.17/0.38 % Total memory used: 21.539 MB
% 0.17/0.38 % Net memory used: 21.233 MB
%------------------------------------------------------------------------------