TSTP Solution File: BOO007-4 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : BOO007-4 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 12:02:43 EDT 2023
% Result : Unsatisfiable 0.20s 0.53s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 9
% Syntax : Number of formulae : 74 ( 74 unt; 0 def)
% Number of atoms : 74 ( 73 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 138 (; 138 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : add(X,Y) = add(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = multiply(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z] : multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] : add(X,additive_identity) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] : multiply(X,multiplicative_identity) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : add(X,inverse(X)) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] : multiply(X,inverse(X)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
multiply(a,multiply(b,c)) != multiply(multiply(a,b),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f11,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f12,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f13,plain,
! [X0,X1,X2] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f14,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f15,plain,
! [X0] : multiply(X0,multiplicative_identity) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f16,plain,
! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f17,plain,
! [X0] : multiply(X0,inverse(X0)) = additive_identity,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f18,plain,
multiply(a,multiply(b,c)) != multiply(multiply(a,b),c),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f19,plain,
multiply(a,multiply(b,c)) != multiply(c,multiply(a,b)),
inference(forward_demodulation,[status(thm)],[f11,f18]) ).
fof(f20,plain,
! [X0] : multiply(multiplicative_identity,X0) = X0,
inference(paramodulation,[status(thm)],[f11,f15]) ).
fof(f28,plain,
! [X0] : X0 = add(additive_identity,X0),
inference(paramodulation,[status(thm)],[f14,f10]) ).
fof(f44,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = multiply(add(X0,X2),add(X0,X1)),
inference(paramodulation,[status(thm)],[f11,f12]) ).
fof(f45,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = add(X0,multiply(X2,X1)),
inference(forward_demodulation,[status(thm)],[f12,f44]) ).
fof(f50,plain,
! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = multiply(multiplicative_identity,add(X0,X1)),
inference(paramodulation,[status(thm)],[f16,f12]) ).
fof(f51,plain,
! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = add(X0,X1),
inference(forward_demodulation,[status(thm)],[f20,f50]) ).
fof(f52,plain,
! [X0,X1] : add(X0,multiply(additive_identity,X1)) = multiply(X0,add(X0,X1)),
inference(paramodulation,[status(thm)],[f14,f12]) ).
fof(f53,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = multiply(add(X1,X0),add(X0,X2)),
inference(paramodulation,[status(thm)],[f10,f12]) ).
fof(f57,plain,
! [X0,X1] : add(X0,multiply(X1,inverse(X0))) = multiply(add(X0,X1),multiplicative_identity),
inference(paramodulation,[status(thm)],[f16,f12]) ).
fof(f58,plain,
! [X0,X1] : add(X0,multiply(X1,inverse(X0))) = add(X0,X1),
inference(forward_demodulation,[status(thm)],[f15,f57]) ).
fof(f62,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X2,X0)),
inference(paramodulation,[status(thm)],[f10,f12]) ).
fof(f71,plain,
! [X0] : add(X0,additive_identity) = add(X0,inverse(inverse(X0))),
inference(paramodulation,[status(thm)],[f17,f51]) ).
fof(f72,plain,
! [X0] : X0 = add(X0,inverse(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f14,f71]) ).
fof(f73,plain,
! [X0] : add(X0,inverse(X0)) = add(X0,multiplicative_identity),
inference(paramodulation,[status(thm)],[f15,f51]) ).
fof(f74,plain,
! [X0] : multiplicative_identity = add(X0,multiplicative_identity),
inference(forward_demodulation,[status(thm)],[f16,f73]) ).
fof(f86,plain,
! [X0,X1,X2] : add(X0,multiply(multiply(inverse(X0),X1),X2)) = multiply(add(X0,X1),add(X0,X2)),
inference(paramodulation,[status(thm)],[f51,f12]) ).
fof(f87,plain,
! [X0,X1,X2] : add(X0,multiply(multiply(inverse(X0),X1),X2)) = add(X0,multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f12,f86]) ).
fof(f112,plain,
! [X0,X1,X2] : add(multiply(X0,X1),X2) = add(X2,multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f10,f45]) ).
fof(f229,plain,
! [X0] : add(X0,additive_identity) = add(X0,X0),
inference(paramodulation,[status(thm)],[f17,f58]) ).
fof(f230,plain,
! [X0] : X0 = add(X0,X0),
inference(forward_demodulation,[status(thm)],[f14,f229]) ).
fof(f249,plain,
! [X0,X1] : multiply(X0,X1) = add(multiply(X0,X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f45,f230]) ).
fof(f590,plain,
! [X0] : multiply(X0,add(X0,X0)) = multiply(X0,X0),
inference(paramodulation,[status(thm)],[f249,f13]) ).
fof(f591,plain,
! [X0] : add(X0,multiply(additive_identity,X0)) = multiply(X0,X0),
inference(forward_demodulation,[status(thm)],[f52,f590]) ).
fof(f616,plain,
! [X0,X1] : multiply(X0,add(inverse(X0),X1)) = add(additive_identity,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f17,f13]) ).
fof(f617,plain,
! [X0,X1] : multiply(X0,add(inverse(X0),X1)) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f28,f616]) ).
fof(f626,plain,
! [X0,X1] : multiply(X0,add(X1,inverse(X0))) = add(multiply(X0,X1),additive_identity),
inference(paramodulation,[status(thm)],[f17,f13]) ).
fof(f627,plain,
! [X0,X1] : multiply(X0,add(X1,inverse(X0))) = add(additive_identity,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f112,f626]) ).
fof(f628,plain,
! [X0,X1] : multiply(X0,add(X1,inverse(X0))) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f28,f627]) ).
fof(f629,plain,
! [X0,X1] : multiply(X0,add(X1,multiplicative_identity)) = add(multiply(X0,X1),X0),
inference(paramodulation,[status(thm)],[f15,f13]) ).
fof(f630,plain,
! [X0,X1] : multiply(X0,multiplicative_identity) = add(multiply(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f74,f629]) ).
fof(f631,plain,
! [X0,X1] : X0 = add(multiply(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f15,f630]) ).
fof(f632,plain,
! [X0,X1] : X0 = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f112,f631]) ).
fof(f667,plain,
! [X0] : X0 = multiply(X0,X0),
inference(backward_demodulation,[status(thm)],[f632,f591]) ).
fof(f707,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(multiply(X0,X1),X0),
inference(paramodulation,[status(thm)],[f667,f13]) ).
fof(f708,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f112,f707]) ).
fof(f709,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f632,f708]) ).
fof(f1025,plain,
! [X0,X1] : add(X0,multiply(inverse(inverse(X0)),X1)) = multiply(X0,add(X1,X0)),
inference(paramodulation,[status(thm)],[f72,f62]) ).
fof(f1026,plain,
! [X0,X1] : add(X0,multiply(inverse(inverse(X0)),X1)) = X0,
inference(forward_demodulation,[status(thm)],[f709,f1025]) ).
fof(f1376,plain,
! [X0] : multiply(inverse(inverse(X0)),X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f72,f709]) ).
fof(f1377,plain,
! [X0] : multiply(X0,inverse(inverse(X0))) = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f11,f1376]) ).
fof(f1628,plain,
! [X0,X1,X2] : multiply(X0,add(inverse(X0),multiply(X1,X2))) = multiply(multiply(X2,X1),X0),
inference(paramodulation,[status(thm)],[f112,f628]) ).
fof(f1629,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X2,X1),X0),
inference(forward_demodulation,[status(thm)],[f617,f1628]) ).
fof(f1735,plain,
! [X0,X1,X2] : add(X0,multiply(X1,multiply(inverse(inverse(X0)),X2))) = multiply(add(X1,X0),X0),
inference(paramodulation,[status(thm)],[f1026,f53]) ).
fof(f1736,plain,
! [X0,X1,X2] : add(X0,multiply(X1,multiply(inverse(inverse(X0)),X2))) = multiply(X0,add(X1,X0)),
inference(forward_demodulation,[status(thm)],[f11,f1735]) ).
fof(f1737,plain,
! [X0,X1,X2] : add(X0,multiply(X1,multiply(inverse(inverse(X0)),X2))) = X0,
inference(forward_demodulation,[status(thm)],[f709,f1736]) ).
fof(f2302,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(inverse(inverse(X1)),X2)),X1) = multiply(X0,multiply(inverse(inverse(X1)),X2)),
inference(paramodulation,[status(thm)],[f1737,f709]) ).
fof(f2303,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(inverse(inverse(X0)),X1),X2)) = multiply(X2,multiply(inverse(inverse(X0)),X1)),
inference(forward_demodulation,[status(thm)],[f1629,f2302]) ).
fof(f3213,plain,
! [X0,X1,X2] : multiply(X0,add(inverse(X0),multiply(X1,X2))) = multiply(X0,multiply(multiply(inverse(inverse(X0)),X1),X2)),
inference(paramodulation,[status(thm)],[f87,f617]) ).
fof(f3214,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X0,multiply(multiply(inverse(inverse(X0)),X1),X2)),
inference(forward_demodulation,[status(thm)],[f617,f3213]) ).
fof(f3215,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(inverse(inverse(X0)),X1)),
inference(forward_demodulation,[status(thm)],[f2303,f3214]) ).
fof(f3267,plain,
! [X0] : multiply(X0,multiplicative_identity) = multiply(X0,inverse(inverse(X0))),
inference(paramodulation,[status(thm)],[f16,f617]) ).
fof(f3268,plain,
! [X0] : X0 = multiply(X0,inverse(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f15,f3267]) ).
fof(f3269,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f1377,f3268]) ).
fof(f3446,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X0,X1)),
inference(backward_demodulation,[status(thm)],[f3269,f3215]) ).
fof(f3447,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f19,f3446]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO007-4 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n015.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 10:58:19 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.20/0.53 % Refutation found
% 0.20/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.10/0.57 % Elapsed time: 0.216006 seconds
% 1.10/0.57 % CPU time: 1.054182 seconds
% 1.10/0.57 % Memory used: 13.412 MB
%------------------------------------------------------------------------------