TSTP Solution File: BOO010-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : BOO010-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 0.18s 0.44s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of formulae : 61 ( 36 unt; 0 def)
% Number of atoms : 112 ( 22 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 104 ( 53 ~; 51 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 152 (; 152 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : sum(X,Y,add(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : product(X,Y,multiply(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] :
( ~ sum(X,Y,Z)
| sum(Y,X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z] :
( ~ product(X,Y,Z)
| product(Y,X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] : sum(additive_identity,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : product(multiplicative_identity,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] : product(X,multiplicative_identity,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,V1,Z,V2,V3,V4] :
( ~ product(X,Y,V1)
| ~ product(X,Z,V2)
| ~ sum(Y,Z,V3)
| ~ product(X,V3,V4)
| sum(V1,V2,V4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [Y,X,V1,Z,V2,V3,V4] :
( ~ sum(Y,X,V1)
| ~ sum(Z,X,V2)
| ~ product(Y,Z,V3)
| ~ sum(V3,X,V4)
| product(V1,V2,V4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X] : product(inverse(X),X,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X,Y,U,V] :
( ~ sum(X,Y,U)
| ~ sum(X,Y,V)
| U = V ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X,Y,U,V] :
( ~ product(X,Y,U)
| ~ product(X,Y,V)
| U = V ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
~ sum(x,multiply(x,y),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,plain,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f25,plain,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f28,plain,
! [X0] : sum(additive_identity,X0,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f30,plain,
! [X0] : product(multiplicative_identity,X0,X0),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f31,plain,
! [X0] : product(X0,multiplicative_identity,X0),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f32,plain,
! [V1,V2,V4] :
( ! [X,V3] :
( ! [Y,Z] :
( ~ product(X,Y,V1)
| ~ product(X,Z,V2)
| ~ sum(Y,Z,V3) )
| ~ product(X,V3,V4) )
| sum(V1,V2,V4) ),
inference(miniscoping,[status(esa)],[f9]) ).
fof(f33,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ product(X0,X5,X6)
| sum(X2,X4,X6) ),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f44,plain,
! [V1,V2,V4] :
( ! [X,V3] :
( ! [Y,Z] :
( ~ sum(Y,X,V1)
| ~ sum(Z,X,V2)
| ~ product(Y,Z,V3) )
| ~ sum(V3,X,V4) )
| product(V1,V2,V4) ),
inference(miniscoping,[status(esa)],[f15]) ).
fof(f45,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X1,X4)
| ~ product(X0,X3,X5)
| ~ sum(X5,X1,X6)
| product(X2,X4,X6) ),
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f50,plain,
! [X0] : product(inverse(X0),X0,additive_identity),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f52,plain,
! [U,V] :
( ! [X,Y] :
( ~ sum(X,Y,U)
| ~ sum(X,Y,V) )
| U = V ),
inference(miniscoping,[status(esa)],[f21]) ).
fof(f53,plain,
! [X0,X1,X2,X3] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f54,plain,
! [U,V] :
( ! [X,Y] :
( ~ product(X,Y,U)
| ~ product(X,Y,V) )
| U = V ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f55,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[status(esa)],[f54]) ).
fof(f56,plain,
~ sum(x,multiply(x,y),x),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f57,plain,
! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| X1 = X0 ),
inference(resolution,[status(thm)],[f28,f53]) ).
fof(f61,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(resolution,[status(thm)],[f24,f57]) ).
fof(f64,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
inference(resolution,[status(thm)],[f24,f26]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ~ sum(X0,X1,X2)
| X2 = add(X1,X0) ),
inference(resolution,[status(thm)],[f64,f53]) ).
fof(f126,plain,
! [X0,X1] : product(X0,X1,multiply(X1,X0)),
inference(resolution,[status(thm)],[f27,f25]) ).
fof(f135,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ sum(X1,X3,X3)
| sum(X2,multiply(X0,X3),multiply(X0,X3)) ),
inference(resolution,[status(thm)],[f33,f25]) ).
fof(f158,plain,
! [X0,X1,X2] :
( ~ sum(X0,X1,X1)
| sum(multiply(X0,X2),multiply(X2,X1),multiply(X2,X1)) ),
inference(resolution,[status(thm)],[f135,f126]) ).
fof(f184,plain,
! [X0,X1] : sum(multiply(additive_identity,X0),multiply(X0,X1),multiply(X0,X1)),
inference(resolution,[status(thm)],[f158,f28]) ).
fof(f188,plain,
! [X0,X1] : multiply(X0,X1) = add(multiply(X0,X1),multiply(additive_identity,X0)),
inference(resolution,[status(thm)],[f184,f69]) ).
fof(f210,plain,
! [X0,X1] :
( ~ product(inverse(X0),X0,X1)
| X1 = additive_identity ),
inference(resolution,[status(thm)],[f55,f50]) ).
fof(f213,plain,
! [X0,X1] :
( ~ product(X0,multiplicative_identity,X1)
| X1 = X0 ),
inference(resolution,[status(thm)],[f55,f31]) ).
fof(f214,plain,
! [X0,X1,X2] :
( ~ product(X0,X1,X2)
| X2 = multiply(X1,X0) ),
inference(resolution,[status(thm)],[f55,f126]) ).
fof(f217,plain,
! [X0] : multiply(X0,inverse(X0)) = additive_identity,
inference(resolution,[status(thm)],[f210,f126]) ).
fof(f225,plain,
! [X0] : X0 = multiply(X0,multiplicative_identity),
inference(resolution,[status(thm)],[f214,f30]) ).
fof(f228,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(resolution,[status(thm)],[f214,f25]) ).
fof(f367,plain,
! [X0] : multiply(X0,inverse(X0)) = add(additive_identity,multiply(additive_identity,X0)),
inference(paramodulation,[status(thm)],[f217,f188]) ).
fof(f368,plain,
! [X0] : additive_identity = add(additive_identity,multiply(additive_identity,X0)),
inference(forward_demodulation,[status(thm)],[f217,f367]) ).
fof(f369,plain,
! [X0] : additive_identity = multiply(additive_identity,X0),
inference(forward_demodulation,[status(thm)],[f61,f368]) ).
fof(f393,plain,
! [X0] : product(X0,additive_identity,additive_identity),
inference(paramodulation,[status(thm)],[f369,f126]) ).
fof(f509,plain,
! [X0,X1,X2] :
( ~ sum(X0,X1,X2)
| ~ product(X0,additive_identity,additive_identity)
| product(X2,X1,X1) ),
inference(resolution,[status(thm)],[f45,f28]) ).
fof(f510,plain,
! [X0,X1,X2] :
( ~ sum(X0,X1,X2)
| product(X2,X1,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f509,f393]) ).
fof(f566,plain,
! [X0,X1] : product(add(X0,X1),X0,X0),
inference(resolution,[status(thm)],[f510,f64]) ).
fof(f611,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(resolution,[status(thm)],[f566,f213]) ).
fof(f703,plain,
! [X0] : sum(X0,multiplicative_identity,multiplicative_identity),
inference(paramodulation,[status(thm)],[f611,f64]) ).
fof(f915,plain,
! [X0,X1] : sum(multiply(X0,X1),multiply(X1,multiplicative_identity),multiply(X1,multiplicative_identity)),
inference(resolution,[status(thm)],[f703,f158]) ).
fof(f916,plain,
! [X0,X1] : sum(multiply(X0,X1),X1,multiply(X1,multiplicative_identity)),
inference(forward_demodulation,[status(thm)],[f225,f915]) ).
fof(f917,plain,
! [X0,X1] : sum(multiply(X0,X1),X1,X1),
inference(forward_demodulation,[status(thm)],[f225,f916]) ).
fof(f1072,plain,
! [X0,X1] : X0 = add(X0,multiply(X1,X0)),
inference(resolution,[status(thm)],[f917,f69]) ).
fof(f1098,plain,
! [X0,X1] : X0 = add(X0,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f228,f1072]) ).
fof(f1138,plain,
! [X0,X1] : sum(X0,multiply(X0,X1),X0),
inference(paramodulation,[status(thm)],[f1098,f24]) ).
fof(f1684,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f56,f1138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : BOO010-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n027.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 : Tue May 30 11:01:33 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.5.1
% 0.18/0.44 % Refutation found
% 0.18/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.45 % Elapsed time: 0.122677 seconds
% 0.18/0.45 % CPU time: 0.875171 seconds
% 0.18/0.45 % Memory used: 21.474 MB
%------------------------------------------------------------------------------