TSTP Solution File: BOO009-2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : BOO009-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 12:02:45 EDT 2023
% Result : Unsatisfiable 0.16s 0.36s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 41 ( 41 unt; 0 def)
% Number of atoms : 41 ( 40 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 58 (; 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : add(X,Y) = add(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = multiply(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z] : add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] : multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] : add(inverse(X),X) = multiplicative_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] : multiply(X,multiplicative_identity) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] : multiply(multiplicative_identity,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X] : add(X,additive_identity) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] : add(additive_identity,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
multiply(a,add(a,b)) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f17,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f18,plain,
! [X0,X1,X2] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f19,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f20,plain,
! [X0,X1,X2] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f23,plain,
! [X0] : add(inverse(X0),X0) = multiplicative_identity,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f26,plain,
! [X0] : multiply(X0,multiplicative_identity) = X0,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f27,plain,
! [X0] : multiply(multiplicative_identity,X0) = X0,
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f28,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f29,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f30,plain,
multiply(a,add(a,b)) != a,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f31,plain,
multiply(add(a,b),a) != a,
inference(forward_demodulation,[status(thm)],[f17,f30]) ).
fof(f68,plain,
! [X0,X1,X2] : add(multiply(X0,X1),X2) = multiply(add(X1,X2),add(X0,X2)),
inference(paramodulation,[status(thm)],[f17,f18]) ).
fof(f69,plain,
! [X0,X1,X2] : add(multiply(X0,X1),X2) = add(multiply(X1,X0),X2),
inference(forward_demodulation,[status(thm)],[f18,f68]) ).
fof(f72,plain,
! [X0,X1] : add(multiply(inverse(X0),X1),X0) = multiply(multiplicative_identity,add(X1,X0)),
inference(paramodulation,[status(thm)],[f23,f18]) ).
fof(f73,plain,
! [X0,X1] : add(multiply(inverse(X0),X1),X0) = add(X1,X0),
inference(forward_demodulation,[status(thm)],[f27,f72]) ).
fof(f103,plain,
! [X0] : add(inverse(X0),X0) = add(multiplicative_identity,X0),
inference(paramodulation,[status(thm)],[f26,f73]) ).
fof(f104,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(forward_demodulation,[status(thm)],[f23,f103]) ).
fof(f204,plain,
! [X0,X1] : add(X0,multiply(X1,additive_identity)) = multiply(add(X0,X1),X0),
inference(paramodulation,[status(thm)],[f28,f19]) ).
fof(f216,plain,
add(a,multiply(b,additive_identity)) != a,
inference(backward_demodulation,[status(thm)],[f204,f31]) ).
fof(f217,plain,
add(multiply(b,additive_identity),a) != a,
inference(forward_demodulation,[status(thm)],[f16,f216]) ).
fof(f218,plain,
add(multiply(additive_identity,b),a) != a,
inference(forward_demodulation,[status(thm)],[f69,f217]) ).
fof(f380,plain,
! [X0,X1] : multiply(add(multiplicative_identity,X0),X1) = add(X1,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f27,f20]) ).
fof(f381,plain,
! [X0,X1] : multiply(multiplicative_identity,X0) = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f104,f380]) ).
fof(f382,plain,
! [X0,X1] : X0 = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f27,f381]) ).
fof(f482,plain,
! [X0] : additive_identity = multiply(X0,additive_identity),
inference(paramodulation,[status(thm)],[f29,f382]) ).
fof(f510,plain,
! [X0] : additive_identity = multiply(additive_identity,X0),
inference(paramodulation,[status(thm)],[f17,f482]) ).
fof(f523,plain,
add(additive_identity,a) != a,
inference(backward_demodulation,[status(thm)],[f510,f218]) ).
fof(f524,plain,
a != a,
inference(forward_demodulation,[status(thm)],[f29,f523]) ).
fof(f525,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f524]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : BOO009-2 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n010.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 10:32:37 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.31 % Drodi V3.5.1
% 0.16/0.36 % Refutation found
% 0.16/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.38 % Elapsed time: 0.062067 seconds
% 0.16/0.38 % CPU time: 0.151875 seconds
% 0.16/0.38 % Memory used: 2.903 MB
%------------------------------------------------------------------------------