TSTP Solution File: BOO024-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : BOO024-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 20:13:08 EDT 2024
% Result : Unsatisfiable 0.17s 0.43s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 42 unt; 0 def)
% Number of atoms : 42 ( 41 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 74 ( 74 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : multiply(add(X,Y),Y) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : multiply(X,add(Y,Z)) = add(multiply(Y,X),multiply(Z,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : add(X,inverse(X)) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z] : pixley(X,Y,Z) = add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : pixley(X,X,Y) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
add(multiply(a,b),b) != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [X0,X1] : multiply(add(X0,X1),X1) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f10,plain,
! [X0,X1,X2] : multiply(X0,add(X1,X2)) = add(multiply(X1,X0),multiply(X2,X0)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f11,plain,
! [X0] : add(X0,inverse(X0)) = n1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f12,plain,
! [X0,X1,X2] : pixley(X0,X1,X2) = add(multiply(X0,inverse(X1)),add(multiply(X0,X2),multiply(inverse(X1),X2))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f13,plain,
! [X0,X1] : pixley(X0,X0,X1) = X1,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f16,plain,
add(multiply(a,b),b) != b,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f17,plain,
! [X0,X1,X2] : pixley(X0,X1,X2) = add(multiply(X0,inverse(X1)),multiply(X2,add(X0,inverse(X1)))),
inference(forward_demodulation,[status(thm)],[f10,f12]) ).
fof(f18,plain,
! [X0] : multiply(n1,inverse(X0)) = inverse(X0),
inference(paramodulation,[status(thm)],[f11,f9]) ).
fof(f19,plain,
! [X0,X1,X2] : multiply(X0,add(add(X1,X0),X2)) = add(X0,multiply(X2,X0)),
inference(paramodulation,[status(thm)],[f9,f10]) ).
fof(f20,plain,
! [X0,X1,X2] : multiply(X0,add(X1,add(X2,X0))) = add(multiply(X1,X0),X0),
inference(paramodulation,[status(thm)],[f9,f10]) ).
fof(f21,plain,
! [X0,X1,X2] : multiply(multiply(X0,add(X1,X2)),multiply(X2,X0)) = multiply(X2,X0),
inference(paramodulation,[status(thm)],[f10,f9]) ).
fof(f32,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),add(X2,multiply(X1,add(X3,X0)))) = add(multiply(X2,multiply(X0,X1)),multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f21,f10]) ).
fof(f55,plain,
! [X0,X1] : pixley(X0,X0,X1) = add(multiply(X0,inverse(X0)),multiply(X1,n1)),
inference(paramodulation,[status(thm)],[f11,f17]) ).
fof(f56,plain,
! [X0,X1] : X0 = add(multiply(X1,inverse(X1)),multiply(X0,n1)),
inference(forward_demodulation,[status(thm)],[f13,f55]) ).
fof(f59,plain,
! [X0] : X0 = add(inverse(n1),multiply(X0,n1)),
inference(paramodulation,[status(thm)],[f18,f56]) ).
fof(f62,plain,
! [X0] : multiply(X0,multiply(X0,n1)) = multiply(X0,n1),
inference(paramodulation,[status(thm)],[f56,f9]) ).
fof(f80,plain,
! [X0] : add(X0,n1) = add(inverse(n1),n1),
inference(paramodulation,[status(thm)],[f9,f59]) ).
fof(f100,plain,
! [X0,X1] : multiply(multiply(X0,n1),add(X0,X1)) = add(multiply(X0,n1),multiply(X1,multiply(X0,n1))),
inference(paramodulation,[status(thm)],[f59,f19]) ).
fof(f132,plain,
! [X0,X1] : multiply(multiply(X0,n1),add(X1,X0)) = add(multiply(X1,multiply(X0,n1)),multiply(X0,n1)),
inference(paramodulation,[status(thm)],[f62,f10]) ).
fof(f134,plain,
! [X0,X1] : add(X0,n1) = add(X1,n1),
inference(paramodulation,[status(thm)],[f80,f80]) ).
fof(f145,plain,
! [X0] : add(X0,n1) = add(n1,n1),
inference(equality_split,[status(esa)],[f134]) ).
fof(f248,plain,
! [X0,X1] : multiply(multiply(X0,n1),add(X0,multiply(n1,add(X1,X0)))) = add(multiply(X0,n1),multiply(X0,n1)),
inference(paramodulation,[status(thm)],[f21,f100]) ).
fof(f249,plain,
! [X0] : add(multiply(X0,multiply(X0,n1)),multiply(X0,n1)) = add(multiply(X0,n1),multiply(X0,n1)),
inference(forward_demodulation,[status(thm)],[f32,f248]) ).
fof(f250,plain,
! [X0] : multiply(multiply(X0,n1),add(X0,X0)) = add(multiply(X0,n1),multiply(X0,n1)),
inference(forward_demodulation,[status(thm)],[f132,f249]) ).
fof(f251,plain,
! [X0] : multiply(multiply(X0,n1),add(X0,X0)) = multiply(n1,add(X0,X0)),
inference(forward_demodulation,[status(thm)],[f10,f250]) ).
fof(f286,plain,
! [X0,X1] : multiply(add(X0,X0),add(X1,multiply(X0,n1))) = add(multiply(X1,add(X0,X0)),multiply(n1,add(X0,X0))),
inference(paramodulation,[status(thm)],[f251,f10]) ).
fof(f287,plain,
! [X0,X1] : multiply(add(X0,X0),add(X1,multiply(X0,n1))) = multiply(add(X0,X0),add(X1,n1)),
inference(forward_demodulation,[status(thm)],[f10,f286]) ).
fof(f288,plain,
! [X0,X1] : multiply(add(X0,X0),add(X1,multiply(X0,n1))) = multiply(add(X0,X0),add(n1,n1)),
inference(forward_demodulation,[status(thm)],[f145,f287]) ).
fof(f347,plain,
! [X0] : multiply(add(X0,X0),X0) = multiply(add(X0,X0),add(n1,n1)),
inference(paramodulation,[status(thm)],[f59,f288]) ).
fof(f348,plain,
! [X0] : X0 = multiply(add(X0,X0),add(n1,n1)),
inference(forward_demodulation,[status(thm)],[f9,f347]) ).
fof(f401,plain,
! [X0,X1] : multiply(X0,X1) = multiply(multiply(X1,add(X0,X0)),add(n1,n1)),
inference(paramodulation,[status(thm)],[f10,f348]) ).
fof(f521,plain,
! [X0,X1] : multiply(X0,add(X1,add(X0,X0))) = multiply(add(X0,X0),add(n1,n1)),
inference(paramodulation,[status(thm)],[f9,f401]) ).
fof(f522,plain,
! [X0,X1] : add(multiply(X0,X1),X1) = multiply(add(X1,X1),add(n1,n1)),
inference(forward_demodulation,[status(thm)],[f20,f521]) ).
fof(f523,plain,
! [X0,X1] : add(multiply(X0,X1),X1) = X1,
inference(forward_demodulation,[status(thm)],[f348,f522]) ).
fof(f546,plain,
b != b,
inference(backward_demodulation,[status(thm)],[f523,f16]) ).
fof(f547,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f546]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO024-1 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n003.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Mon Apr 29 22:41:03 EDT 2024
% 0.10/0.34 % CPUTime :
% 0.10/0.34 % Drodi V3.6.0
% 0.17/0.43 % Refutation found
% 0.17/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.45 % Elapsed time: 0.107431 seconds
% 0.17/0.45 % CPU time: 0.727198 seconds
% 0.17/0.45 % Total memory used: 36.158 MB
% 0.17/0.45 % Net memory used: 35.706 MB
%------------------------------------------------------------------------------