TSTP Solution File: BOO074-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : BOO074-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 12:02:56 EDT 2023
% Result : Unsatisfiable 21.27s 3.12s
% Output : CNFRefutation 21.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 2
% Syntax : Number of formulae : 66 ( 66 unt; 0 def)
% Number of atoms : 66 ( 65 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 21 ( 4 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 143 (; 143 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] : inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2,X3] : inverse(add(inverse(add(inverse(add(X0,X1)),X2)),inverse(add(X0,inverse(add(inverse(X2),inverse(add(X2,X3)))))))) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f4,plain,
add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))) != a,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f7,plain,
! [X0,X1,X2] : inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X1)),X0)),X2)),inverse(X0))),X0)) = inverse(X0),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f10,plain,
! [X0] : inverse(add(inverse(add(X0,inverse(X0))),X0)) = inverse(X0),
inference(paramodulation,[status(thm)],[f3,f7]) ).
fof(f24,plain,
! [X0,X1,X2,X3,X4] : inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(inverse(add(inverse(X0),inverse(add(X0,X1)))))),X2)),inverse(add(inverse(X0),inverse(add(X0,X1)))))),X3)),inverse(inverse(add(inverse(X0),inverse(add(X0,X1))))))),X4)),X0)),inverse(inverse(add(inverse(X0),inverse(add(X0,X1))))))) = X0,
inference(paramodulation,[status(thm)],[f7,f3]) ).
fof(f34,plain,
! [X0,X1] : inverse(add(inverse(X0),inverse(add(X0,inverse(add(inverse(X0),inverse(add(X0,X1)))))))) = X0,
inference(paramodulation,[status(thm)],[f10,f3]) ).
fof(f53,plain,
! [X0] : inverse(add(inverse(X0),inverse(add(X0,X0)))) = X0,
inference(paramodulation,[status(thm)],[f34,f34]) ).
fof(f69,plain,
! [X0,X1,X2] : inverse(add(inverse(add(inverse(add(X0,X1)),X2)),inverse(add(X0,X2)))) = X2,
inference(paramodulation,[status(thm)],[f34,f3]) ).
fof(f259,plain,
! [X0,X1,X2] : inverse(add(X0,inverse(add(inverse(add(X1,X2)),inverse(add(X1,X0)))))) = inverse(add(X1,X0)),
inference(paramodulation,[status(thm)],[f69,f69]) ).
fof(f268,plain,
! [X0,X1] : inverse(add(inverse(add(X0,X1)),inverse(add(inverse(X0),X1)))) = X1,
inference(paramodulation,[status(thm)],[f34,f69]) ).
fof(f276,plain,
! [X0,X1] : inverse(add(inverse(add(inverse(add(inverse(X0),X1)),inverse(add(X0,X0)))),X0)) = inverse(add(X0,X0)),
inference(paramodulation,[status(thm)],[f53,f69]) ).
fof(f329,plain,
! [X0] : inverse(add(inverse(add(add(X0,inverse(X0)),X0)),inverse(X0))) = X0,
inference(paramodulation,[status(thm)],[f10,f268]) ).
fof(f344,plain,
! [X0,X1] : inverse(add(X0,inverse(add(X1,inverse(add(inverse(X1),X0)))))) = inverse(add(inverse(X1),X0)),
inference(paramodulation,[status(thm)],[f268,f69]) ).
fof(f504,plain,
! [X0,X1] : inverse(add(inverse(add(add(inverse(add(add(X0,inverse(X0)),X0)),inverse(X0)),X1)),inverse(add(X0,X1)))) = X1,
inference(paramodulation,[status(thm)],[f329,f268]) ).
fof(f505,plain,
! [X0] : inverse(add(X0,inverse(add(add(inverse(add(add(X0,inverse(X0)),X0)),inverse(X0)),add(inverse(add(add(X0,inverse(X0)),X0)),inverse(X0)))))) = add(inverse(add(add(X0,inverse(X0)),X0)),inverse(X0)),
inference(paramodulation,[status(thm)],[f329,f53]) ).
fof(f955,plain,
! [X0,X1,X2,X3] : inverse(add(inverse(add(inverse(add(inverse(X0),X1)),inverse(add(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X2)),X0)),X3)),inverse(X0))),X0),add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X2)),X0)),X3)),inverse(X0))),X0))))),add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X2)),X0)),X3)),inverse(X0))),X0))) = inverse(add(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X2)),X0)),X3)),inverse(X0))),X0),add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X2)),X0)),X3)),inverse(X0))),X0))),
inference(paramodulation,[status(thm)],[f7,f276]) ).
fof(f1115,plain,
! [X0,X1] : inverse(add(inverse(inverse(add(X0,X1))),inverse(add(inverse(add(X0,X1)),inverse(add(X0,inverse(inverse(add(X0,X1))))))))) = inverse(add(X0,X1)),
inference(paramodulation,[status(thm)],[f259,f34]) ).
fof(f1116,plain,
! [X0,X1] : inverse(add(X0,inverse(inverse(add(X0,X1))))) = inverse(add(X0,X1)),
inference(forward_demodulation,[status(thm)],[f259,f1115]) ).
fof(f1198,plain,
! [X0,X1] : inverse(add(inverse(add(X0,X1)),inverse(X1))) = inverse(add(inverse(add(X0,X1)),inverse(add(inverse(X0),X1)))),
inference(paramodulation,[status(thm)],[f268,f1116]) ).
fof(f1199,plain,
! [X0,X1] : inverse(add(inverse(add(X0,X1)),inverse(X1))) = X1,
inference(forward_demodulation,[status(thm)],[f268,f1198]) ).
fof(f1200,plain,
! [X0,X1] : inverse(add(inverse(X0),inverse(X0))) = inverse(add(inverse(X0),inverse(add(X0,inverse(add(inverse(X0),inverse(add(X0,X1)))))))),
inference(paramodulation,[status(thm)],[f34,f1116]) ).
fof(f1201,plain,
! [X0] : inverse(add(inverse(X0),inverse(X0))) = X0,
inference(forward_demodulation,[status(thm)],[f34,f1200]) ).
fof(f1308,plain,
! [X0,X1,X2] : inverse(add(inverse(X0),inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X1)),X0)),X2)),inverse(X0))),X0)))) = add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X1)),X0)),X2)),inverse(X0))),X0),
inference(paramodulation,[status(thm)],[f7,f1201]) ).
fof(f1309,plain,
! [X0,X1,X2] : inverse(add(inverse(X0),inverse(X0))) = add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X1)),X0)),X2)),inverse(X0))),X0),
inference(forward_demodulation,[status(thm)],[f7,f1308]) ).
fof(f1310,plain,
! [X0,X1,X2] : X0 = add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X1)),X0)),X2)),inverse(X0))),X0),
inference(forward_demodulation,[status(thm)],[f1201,f1309]) ).
fof(f1316,plain,
! [X0,X1,X2,X3] : inverse(add(X0,inverse(add(inverse(add(inverse(add(X1,X2)),X0)),inverse(add(X1,inverse(add(inverse(X0),inverse(add(X0,X3)))))))))) = add(inverse(add(inverse(add(X1,X2)),X0)),inverse(add(X1,inverse(add(inverse(X0),inverse(add(X0,X3))))))),
inference(paramodulation,[status(thm)],[f3,f1201]) ).
fof(f1317,plain,
! [X0,X1,X2,X3] : inverse(add(X0,X0)) = add(inverse(add(inverse(add(X1,X2)),X0)),inverse(add(X1,inverse(add(inverse(X0),inverse(add(X0,X3))))))),
inference(forward_demodulation,[status(thm)],[f3,f1316]) ).
fof(f1331,plain,
! [X0,X1] : inverse(add(inverse(add(X0,X1)),inverse(add(X0,inverse(inverse(add(X0,X1))))))) = add(X0,inverse(inverse(add(X0,X1)))),
inference(paramodulation,[status(thm)],[f1116,f1201]) ).
fof(f1332,plain,
! [X0,X1] : inverse(add(inverse(add(X0,X1)),inverse(add(X0,X1)))) = add(X0,inverse(inverse(add(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f1116,f1331]) ).
fof(f1333,plain,
! [X0,X1] : add(X0,X1) = add(X0,inverse(inverse(add(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f1201,f1332]) ).
fof(f1385,plain,
! [X0,X1] : inverse(add(X0,add(X1,X0))) = inverse(add(X1,X0)),
inference(paramodulation,[status(thm)],[f1201,f259]) ).
fof(f1541,plain,
! [X0,X1,X2,X3] : inverse(add(inverse(add(inverse(add(inverse(X0),X1)),inverse(add(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X2)),X0)),X3)),inverse(X0))),X0),add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X2)),X0)),X3)),inverse(X0))),X0))))),add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X2)),X0)),X3)),inverse(X0))),X0))) = inverse(add(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X2)),X0)),X3)),inverse(X0))),X0),X0)),
inference(backward_demodulation,[status(thm)],[f1310,f955]) ).
fof(f1542,plain,
! [X0,X1,X2] : inverse(add(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X1)),X0)),X2)),inverse(X0))),X0),add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X1)),X0)),X2)),inverse(X0))),X0))) = inverse(add(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X1)),X0)),X2)),inverse(X0))),X0),X0)),
inference(forward_demodulation,[status(thm)],[f955,f1541]) ).
fof(f1543,plain,
! [X0,X1,X2] : inverse(add(X0,add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X1)),X0)),X2)),inverse(X0))),X0))) = inverse(add(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X1)),X0)),X2)),inverse(X0))),X0),X0)),
inference(forward_demodulation,[status(thm)],[f1310,f1542]) ).
fof(f1544,plain,
! [X0,X1,X2] : inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X1)),X0)),X2)),inverse(X0))),X0)) = inverse(add(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X1)),X0)),X2)),inverse(X0))),X0),X0)),
inference(forward_demodulation,[status(thm)],[f1385,f1543]) ).
fof(f1545,plain,
! [X0,X1,X2] : inverse(X0) = inverse(add(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X1)),X0)),X2)),inverse(X0))),X0),X0)),
inference(forward_demodulation,[status(thm)],[f7,f1544]) ).
fof(f1546,plain,
! [X0] : inverse(X0) = inverse(add(X0,X0)),
inference(forward_demodulation,[status(thm)],[f1310,f1545]) ).
fof(f1688,plain,
! [X0] : inverse(inverse(add(X0,X0))) = X0,
inference(backward_demodulation,[status(thm)],[f1317,f3]) ).
fof(f1689,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f1546,f1688]) ).
fof(f2126,plain,
! [X0] : inverse(add(X0,inverse(add(inverse(add(add(X0,inverse(X0)),X0)),inverse(X0))))) = add(inverse(add(add(X0,inverse(X0)),X0)),inverse(X0)),
inference(backward_demodulation,[status(thm)],[f1546,f505]) ).
fof(f2127,plain,
! [X0] : inverse(add(X0,X0)) = add(inverse(add(add(X0,inverse(X0)),X0)),inverse(X0)),
inference(forward_demodulation,[status(thm)],[f1199,f2126]) ).
fof(f2128,plain,
! [X0] : inverse(X0) = add(inverse(add(add(X0,inverse(X0)),X0)),inverse(X0)),
inference(forward_demodulation,[status(thm)],[f1546,f2127]) ).
fof(f2227,plain,
! [X0,X1,X2,X3,X4] : inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(X0),inverse(add(X0,X1)))),X2)),inverse(add(inverse(X0),inverse(add(X0,X1)))))),X3)),inverse(inverse(add(inverse(X0),inverse(add(X0,X1))))))),X4)),X0)),inverse(inverse(add(inverse(X0),inverse(add(X0,X1))))))) = X0,
inference(backward_demodulation,[status(thm)],[f1689,f24]) ).
fof(f2228,plain,
! [X0,X1,X2,X3,X4] : inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(X0),inverse(add(X0,X1)))),X2)),inverse(add(inverse(X0),inverse(add(X0,X1)))))),X3)),add(inverse(X0),inverse(add(X0,X1))))),X4)),X0)),inverse(inverse(add(inverse(X0),inverse(add(X0,X1))))))) = X0,
inference(forward_demodulation,[status(thm)],[f1689,f2227]) ).
fof(f2229,plain,
! [X0,X1,X2,X3,X4] : inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(X0),inverse(add(X0,X1)))),X2)),inverse(add(inverse(X0),inverse(add(X0,X1)))))),X3)),add(inverse(X0),inverse(add(X0,X1))))),X4)),X0)),add(inverse(X0),inverse(add(X0,X1))))) = X0,
inference(forward_demodulation,[status(thm)],[f1689,f2228]) ).
fof(f2330,plain,
! [X0,X1] : add(X0,X1) = add(X0,add(X0,X1)),
inference(backward_demodulation,[status(thm)],[f1689,f1333]) ).
fof(f2381,plain,
! [X0,X1] : inverse(add(inverse(add(inverse(X0),X1)),inverse(add(X0,X1)))) = X1,
inference(backward_demodulation,[status(thm)],[f2128,f504]) ).
fof(f2406,plain,
! [X0,X1] : inverse(X0) = add(inverse(add(X1,X0)),inverse(X0)),
inference(paramodulation,[status(thm)],[f1199,f1689]) ).
fof(f2424,plain,
! [X0,X1] : inverse(inverse(X0)) = add(inverse(add(X1,inverse(X0))),X0),
inference(paramodulation,[status(thm)],[f1689,f2406]) ).
fof(f2425,plain,
! [X0,X1] : X0 = add(inverse(add(X1,inverse(X0))),X0),
inference(forward_demodulation,[status(thm)],[f1689,f2424]) ).
fof(f2575,plain,
! [X0,X1] : inverse(add(inverse(add(X0,X1)),inverse(add(inverse(X0),X1)))) = X1,
inference(paramodulation,[status(thm)],[f1689,f2381]) ).
fof(f2778,plain,
! [X0,X1] : inverse(X0) = add(inverse(add(X1,X0)),inverse(add(inverse(X1),X0))),
inference(paramodulation,[status(thm)],[f2575,f1689]) ).
fof(f4104,plain,
! [X0,X1] : inverse(add(X0,inverse(add(inverse(X1),inverse(add(X1,X0)))))) = inverse(add(inverse(inverse(X1)),X0)),
inference(paramodulation,[status(thm)],[f1689,f344]) ).
fof(f4105,plain,
! [X0,X1] : inverse(add(X0,inverse(add(inverse(X1),inverse(add(X1,X0)))))) = inverse(add(X1,X0)),
inference(forward_demodulation,[status(thm)],[f1689,f4104]) ).
fof(f4220,plain,
! [X0,X1] : inverse(inverse(add(X0,X1))) = add(X1,inverse(add(inverse(X0),inverse(add(X0,X1))))),
inference(paramodulation,[status(thm)],[f4105,f1689]) ).
fof(f4221,plain,
! [X0,X1] : add(X0,X1) = add(X1,inverse(add(inverse(X0),inverse(add(X0,X1))))),
inference(forward_demodulation,[status(thm)],[f1689,f4220]) ).
fof(f4391,plain,
! [X0,X1] : inverse(add(inverse(X0),add(inverse(X0),inverse(add(X0,X1))))) = X0,
inference(paramodulation,[status(thm)],[f2425,f2229]) ).
fof(f4392,plain,
! [X0,X1] : inverse(add(inverse(X0),inverse(add(X0,X1)))) = X0,
inference(forward_demodulation,[status(thm)],[f2330,f4391]) ).
fof(f5059,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(backward_demodulation,[status(thm)],[f4392,f4221]) ).
fof(f5402,plain,
! [X0,X1] : inverse(X0) = add(inverse(add(X1,X0)),inverse(add(X0,inverse(X1)))),
inference(paramodulation,[status(thm)],[f5059,f2778]) ).
fof(f5420,plain,
add(inverse(add(b,inverse(a))),inverse(add(inverse(a),inverse(b)))) != a,
inference(paramodulation,[status(thm)],[f5059,f4]) ).
fof(f5421,plain,
inverse(inverse(a)) != a,
inference(forward_demodulation,[status(thm)],[f5402,f5420]) ).
fof(f5422,plain,
a != a,
inference(forward_demodulation,[status(thm)],[f1689,f5421]) ).
fof(f5423,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f5422]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO074-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 11:01:23 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 21.27/3.12 % Refutation found
% 21.27/3.12 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 21.27/3.12 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 21.79/3.24 % Elapsed time: 2.876753 seconds
% 21.79/3.24 % CPU time: 21.777463 seconds
% 21.79/3.24 % Memory used: 343.718 MB
%------------------------------------------------------------------------------