TSTP Solution File: BOO029-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : BOO029-1 : TPTP v8.1.2. Released v2.2.0.
% 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 12:02:51 EDT 2023
% Result : Unsatisfiable 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 11
% Syntax : Number of formulae : 61 ( 61 unt; 0 def)
% Number of atoms : 61 ( 60 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 133 (; 133 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : add(X,multiply(Y,multiply(X,Z))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : add(add(multiply(X,Y),multiply(Y,Z)),Y) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : multiply(add(X,Y),add(X,inverse(Y))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z] : multiply(X,add(Y,add(X,Z))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] : multiply(multiply(add(X,Y),add(Y,Z)),Y) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : add(multiply(X,Y),multiply(X,inverse(Y))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] : add(X,Y) = add(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] : multiply(X,Y) = multiply(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z] : add(add(X,Y),Z) = add(X,add(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y,Z] : multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
add(b,inverse(b)) != add(a,inverse(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,plain,
! [X0,X1,X2] : add(X0,multiply(X1,multiply(X0,X2))) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f13,plain,
! [X0,X1,X2] : add(add(multiply(X0,X1),multiply(X1,X2)),X1) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f14,plain,
! [X0,X1] : multiply(add(X0,X1),add(X0,inverse(X1))) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f15,plain,
! [X0,X1,X2] : multiply(X0,add(X1,add(X0,X2))) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f16,plain,
! [X0,X1,X2] : multiply(multiply(add(X0,X1),add(X1,X2)),X1) = X1,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f17,plain,
! [X0,X1] : add(multiply(X0,X1),multiply(X0,inverse(X1))) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f18,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f19,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f20,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f21,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f22,plain,
add(b,inverse(b)) != add(a,inverse(a)),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f23,plain,
! [X0,X1,X2] : add(multiply(X0,X1),add(multiply(X1,X2),X1)) = X1,
inference(backward_demodulation,[status(thm)],[f20,f13]) ).
fof(f24,plain,
! [X0,X1,X2] : add(multiply(X0,X1),add(X1,multiply(X1,X2))) = X1,
inference(forward_demodulation,[status(thm)],[f18,f23]) ).
fof(f25,plain,
! [X0,X1,X2] : multiply(add(X0,X1),multiply(add(X1,X2),X1)) = X1,
inference(backward_demodulation,[status(thm)],[f21,f16]) ).
fof(f26,plain,
! [X0,X1,X2] : multiply(add(X0,X1),multiply(X1,add(X1,X2))) = X1,
inference(forward_demodulation,[status(thm)],[f19,f25]) ).
fof(f27,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X1,add(X2,X0)),
inference(paramodulation,[status(thm)],[f18,f20]) ).
fof(f42,plain,
! [X0,X1] : multiply(add(X0,X1),add(X1,inverse(X0))) = X1,
inference(paramodulation,[status(thm)],[f18,f14]) ).
fof(f46,plain,
! [X0,X1] : multiply(add(X0,X1),add(inverse(X1),X0)) = X0,
inference(paramodulation,[status(thm)],[f18,f14]) ).
fof(f77,plain,
! [X0,X1] : multiply(add(X0,X1),add(inverse(X0),X1)) = X1,
inference(paramodulation,[status(thm)],[f18,f42]) ).
fof(f102,plain,
! [X0,X1,X2] : multiply(X0,add(inverse(multiply(X1,X0)),add(X0,multiply(X0,X2)))) = add(X0,multiply(X0,X2)),
inference(paramodulation,[status(thm)],[f24,f77]) ).
fof(f103,plain,
! [X0,X1] : X0 = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f15,f102]) ).
fof(f127,plain,
! [X0,X1] : add(X0,X1) = add(add(X0,X1),X0),
inference(paramodulation,[status(thm)],[f46,f103]) ).
fof(f128,plain,
! [X0,X1] : add(X0,X1) = add(X0,add(X1,X0)),
inference(forward_demodulation,[status(thm)],[f20,f127]) ).
fof(f273,plain,
! [X0,X1] : multiply(add(X0,X1),add(inverse(X0),add(X1,X0))) = add(X1,X0),
inference(paramodulation,[status(thm)],[f128,f77]) ).
fof(f274,plain,
! [X0,X1] : multiply(add(X0,X1),add(X0,add(inverse(X0),X1))) = add(X1,X0),
inference(forward_demodulation,[status(thm)],[f27,f273]) ).
fof(f539,plain,
! [X0,X1] : add(multiply(X0,X1),multiply(inverse(X1),X0)) = X0,
inference(paramodulation,[status(thm)],[f19,f17]) ).
fof(f559,plain,
! [X0,X1] : add(multiply(X0,X1),multiply(inverse(X0),X1)) = X1,
inference(paramodulation,[status(thm)],[f19,f539]) ).
fof(f663,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(add(X2,X0),multiply(add(inverse(X2),X0),X1)),
inference(paramodulation,[status(thm)],[f77,f21]) ).
fof(f776,plain,
! [X0,X1,X2] : add(X0,multiply(inverse(add(X1,X0)),multiply(X0,add(X0,X2)))) = multiply(X0,add(X0,X2)),
inference(paramodulation,[status(thm)],[f26,f559]) ).
fof(f777,plain,
! [X0,X1] : X0 = multiply(X0,add(X0,X1)),
inference(forward_demodulation,[status(thm)],[f12,f776]) ).
fof(f910,plain,
! [X0,X1] : add(X0,multiply(inverse(X0),add(X0,X1))) = add(X0,X1),
inference(paramodulation,[status(thm)],[f777,f559]) ).
fof(f1567,plain,
! [X0,X1] : add(X0,inverse(X0)) = add(X0,add(inverse(X0),X1)),
inference(paramodulation,[status(thm)],[f15,f910]) ).
fof(f1597,plain,
! [X0,X1] : multiply(add(X0,X1),add(X0,inverse(X0))) = add(X1,X0),
inference(backward_demodulation,[status(thm)],[f1567,f274]) ).
fof(f1861,plain,
! [X0,X1] : multiply(add(X0,inverse(X0)),add(inverse(add(inverse(X0),X1)),X0)) = X0,
inference(paramodulation,[status(thm)],[f1567,f46]) ).
fof(f1862,plain,
! [X0,X1] : multiply(add(X0,inverse(X0)),add(X0,inverse(add(inverse(X0),X1)))) = X0,
inference(forward_demodulation,[status(thm)],[f18,f1861]) ).
fof(f1880,plain,
! [X0,X1] : multiply(add(X0,inverse(X0)),add(X0,X1)) = add(X1,X0),
inference(paramodulation,[status(thm)],[f19,f1597]) ).
fof(f1945,plain,
! [X0,X1] : multiply(X0,add(inverse(X1),inverse(inverse(X1)))) = multiply(add(X1,X0),add(X0,inverse(X1))),
inference(paramodulation,[status(thm)],[f1597,f663]) ).
fof(f1946,plain,
! [X0,X1] : multiply(X0,add(inverse(X1),inverse(inverse(X1)))) = X0,
inference(forward_demodulation,[status(thm)],[f42,f1945]) ).
fof(f1977,plain,
! [X0,X1] : add(inverse(add(inverse(X0),X1)),X0) = X0,
inference(backward_demodulation,[status(thm)],[f1880,f1862]) ).
fof(f1978,plain,
! [X0,X1] : add(X0,inverse(add(inverse(X0),X1))) = X0,
inference(forward_demodulation,[status(thm)],[f18,f1977]) ).
fof(f1980,plain,
! [X0] : add(X0,inverse(inverse(X0))) = X0,
inference(paramodulation,[status(thm)],[f1978,f1978]) ).
fof(f2087,plain,
! [X0] : multiply(X0,add(inverse(X0),inverse(inverse(X0)))) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f1980,f77]) ).
fof(f2088,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f1946,f2087]) ).
fof(f2129,plain,
! [X0,X1] : multiply(X0,add(inverse(X1),X1)) = X0,
inference(backward_demodulation,[status(thm)],[f2088,f1946]) ).
fof(f2130,plain,
! [X0,X1] : multiply(X0,add(X1,inverse(X1))) = X0,
inference(forward_demodulation,[status(thm)],[f18,f2129]) ).
fof(f2322,plain,
! [X0,X1] : add(multiply(X0,add(X1,inverse(X1))),inverse(X0)) = add(X1,inverse(X1)),
inference(paramodulation,[status(thm)],[f2130,f559]) ).
fof(f2323,plain,
! [X0,X1] : add(inverse(X0),multiply(X0,add(X1,inverse(X1)))) = add(X1,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f18,f2322]) ).
fof(f2324,plain,
! [X0,X1] : add(inverse(X0),X0) = add(X1,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f2130,f2323]) ).
fof(f2325,plain,
! [X0,X1] : add(X0,inverse(X0)) = add(X1,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f18,f2324]) ).
fof(f2326,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f22,f2325]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : BOO029-1 : TPTP v8.1.2. Released v2.2.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 10:57:28 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.35 % Drodi V3.5.1
% 0.19/0.48 % Refutation found
% 0.19/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.50 % Elapsed time: 0.156851 seconds
% 0.19/0.50 % CPU time: 1.113122 seconds
% 0.19/0.50 % Memory used: 13.166 MB
%------------------------------------------------------------------------------