TSTP Solution File: BOO022-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : BOO022-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.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 12:02:50 EDT 2023
% Result : Unsatisfiable 1.07s 0.54s
% Output : CNFRefutation 1.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 6
% Syntax : Number of formulae : 55 ( 55 unt; 0 def)
% Number of atoms : 55 ( 54 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 : 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 : 123 (; 123 !; 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(f4,axiom,
! [X,Y] : add(multiply(X,Y),Y) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] : add(X,multiply(Y,Z)) = multiply(add(Y,X),add(Z,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] : multiply(X,inverse(X)) = n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
multiply(multiply(a,b),c) != multiply(a,multiply(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [X0,X1] : multiply(add(X0,X1),X1) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f9,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,X1] : add(multiply(X0,X1),X1) = X1,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f12,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = multiply(add(X1,X0),add(X2,X0)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f13,plain,
! [X0] : multiply(X0,inverse(X0)) = n0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f14,plain,
multiply(multiply(a,b),c) != multiply(a,multiply(b,c)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f16,plain,
! [X0] : add(X0,X0) = X0,
inference(paramodulation,[status(thm)],[f8,f11]) ).
fof(f18,plain,
! [X0] : multiply(X0,X0) = X0,
inference(paramodulation,[status(thm)],[f11,f8]) ).
fof(f20,plain,
! [X0,X1] : multiply(X0,add(X1,X1)) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f16,f9]) ).
fof(f21,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f16,f20]) ).
fof(f29,plain,
! [X0,X1,X2] : multiply(multiply(X0,add(X1,X2)),multiply(X2,X0)) = multiply(X2,X0),
inference(paramodulation,[status(thm)],[f9,f8]) ).
fof(f30,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(X1,add(X2,X0))) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f21,f29]) ).
fof(f31,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(multiply(X1,X0),X0),
inference(paramodulation,[status(thm)],[f18,f9]) ).
fof(f32,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f11,f31]) ).
fof(f48,plain,
! [X0,X1,X2] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X2,X0)),
inference(paramodulation,[status(thm)],[f21,f9]) ).
fof(f49,plain,
! [X0,X1] : add(multiply(X0,X1),X0) = X0,
inference(paramodulation,[status(thm)],[f21,f11]) ).
fof(f58,plain,
! [X0] : add(n0,X0) = X0,
inference(paramodulation,[status(thm)],[f13,f49]) ).
fof(f80,plain,
! [X0,X1,X2,X3] : add(multiply(X0,X1),multiply(multiply(X2,X1),X3)) = multiply(multiply(X1,add(X2,X0)),add(X3,multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f9,f12]) ).
fof(f86,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = multiply(X0,add(X1,X0)),
inference(paramodulation,[status(thm)],[f16,f12]) ).
fof(f87,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f32,f86]) ).
fof(f88,plain,
! [X0,X1] : add(X0,multiply(X1,n0)) = multiply(add(X1,X0),X0),
inference(paramodulation,[status(thm)],[f58,f12]) ).
fof(f89,plain,
! [X0,X1] : add(X0,multiply(X1,n0)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f88]) ).
fof(f97,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = multiply(add(X1,X0),X0),
inference(paramodulation,[status(thm)],[f16,f12]) ).
fof(f98,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f97]) ).
fof(f118,plain,
! [X0] : multiply(X0,n0) = n0,
inference(paramodulation,[status(thm)],[f58,f98]) ).
fof(f137,plain,
! [X0] : add(X0,n0) = X0,
inference(backward_demodulation,[status(thm)],[f118,f89]) ).
fof(f140,plain,
! [X0] : n0 = multiply(n0,X0),
inference(paramodulation,[status(thm)],[f49,f137]) ).
fof(f189,plain,
multiply(c,multiply(a,b)) != multiply(a,multiply(b,c)),
inference(paramodulation,[status(thm)],[f21,f14]) ).
fof(f700,plain,
! [X0,X1,X2] : multiply(multiply(multiply(X0,X1),X2),multiply(X2,X1)) = multiply(multiply(X0,X1),X2),
inference(paramodulation,[status(thm)],[f98,f30]) ).
fof(f701,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(multiply(X2,X1),X0)) = multiply(multiply(X2,X1),X0),
inference(forward_demodulation,[status(thm)],[f21,f700]) ).
fof(f1177,plain,
! [X0,X1,X2] : add(multiply(n0,X0),multiply(multiply(X1,X0),X2)) = multiply(multiply(X0,X1),add(X2,multiply(n0,X0))),
inference(paramodulation,[status(thm)],[f137,f80]) ).
fof(f1178,plain,
! [X0,X1,X2] : add(n0,multiply(multiply(X0,X1),X2)) = multiply(multiply(X1,X0),add(X2,multiply(n0,X1))),
inference(forward_demodulation,[status(thm)],[f140,f1177]) ).
fof(f1179,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(multiply(X1,X0),add(X2,multiply(n0,X1))),
inference(forward_demodulation,[status(thm)],[f58,f1178]) ).
fof(f1180,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(multiply(X1,X0),add(X2,n0)),
inference(forward_demodulation,[status(thm)],[f140,f1179]) ).
fof(f1181,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(multiply(X1,X0),X2),
inference(forward_demodulation,[status(thm)],[f137,f1180]) ).
fof(f1219,plain,
! [X0,X1,X2] : add(multiply(X0,X1),multiply(multiply(X2,X1),X0)) = multiply(multiply(X1,add(X2,X0)),X0),
inference(paramodulation,[status(thm)],[f87,f80]) ).
fof(f1220,plain,
! [X0,X1,X2] : multiply(X0,add(X1,multiply(X2,X1))) = multiply(multiply(X1,add(X2,X0)),X0),
inference(forward_demodulation,[status(thm)],[f48,f1219]) ).
fof(f1221,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(multiply(X1,add(X2,X0)),X0),
inference(forward_demodulation,[status(thm)],[f98,f1220]) ).
fof(f1222,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(X0,multiply(X1,add(X2,X0))),
inference(forward_demodulation,[status(thm)],[f21,f1221]) ).
fof(f1537,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(multiply(X0,X1),multiply(X2,X0)),
inference(paramodulation,[status(thm)],[f87,f1222]) ).
fof(f1538,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(multiply(X0,X1),multiply(X2,X1)),
inference(paramodulation,[status(thm)],[f98,f1222]) ).
fof(f1588,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(X2,X1)) = multiply(multiply(X2,X1),X0),
inference(backward_demodulation,[status(thm)],[f1537,f701]) ).
fof(f1589,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(multiply(X2,X1),X0),
inference(forward_demodulation,[status(thm)],[f1538,f1588]) ).
fof(f2380,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X2,X1),X0),
inference(paramodulation,[status(thm)],[f21,f1181]) ).
fof(f3399,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(paramodulation,[status(thm)],[f2380,f1589]) ).
fof(f3400,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(multiply(X2,X0),X1),
inference(paramodulation,[status(thm)],[f1181,f1589]) ).
fof(f3401,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X2,X0),X1),
inference(forward_demodulation,[status(thm)],[f3399,f3400]) ).
fof(f3402,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f3399,f3401]) ).
fof(f3403,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f189,f3402]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : BOO022-1 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34 % Computer : n001.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Tue May 30 11:13:45 EDT 2023
% 0.11/0.34 % CPUTime :
% 0.11/0.34 % Drodi V3.5.1
% 1.07/0.54 % Refutation found
% 1.07/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.07/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.16/0.56 % Elapsed time: 0.214832 seconds
% 1.16/0.56 % CPU time: 1.169660 seconds
% 1.16/0.56 % Memory used: 15.269 MB
%------------------------------------------------------------------------------