TSTP Solution File: GRP402-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP402-1 : TPTP v8.1.2. Released v2.5.0.
% 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 : Tue Apr 30 20:20:19 EDT 2024
% Result : Unsatisfiable 0.12s 0.47s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 21 unt; 0 def)
% Number of atoms : 37 ( 36 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 24 ( 16 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 59 ( 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] :
( multiply(A,B) != multiply(C,B)
| A = C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B,C] :
( multiply(A,B) != multiply(A,C)
| B = C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : multiply(A,B) = multiply(B,multiply(A,commutator(A,B))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : multiply(commutator(A,B),C) = multiply(C,commutator(A,B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
commutator(commutator(a,b),c) != commutator(a,commutator(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f8,plain,
! [A,C] :
( ! [B] : multiply(A,B) != multiply(C,B)
| A = C ),
inference(miniscoping,[status(esa)],[f2]) ).
fof(f9,plain,
! [X0,X1,X2] :
( multiply(X0,X1) != multiply(X2,X1)
| X0 = X2 ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f10,plain,
! [B,C] :
( ! [A] : multiply(A,B) != multiply(A,C)
| B = C ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f11,plain,
! [X0,X1,X2] :
( multiply(X0,X1) != multiply(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f12,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,multiply(X0,commutator(X0,X1))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f13,plain,
! [X0,X1,X2] : multiply(commutator(X0,X1),X2) = multiply(X2,commutator(X0,X1)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f14,plain,
commutator(commutator(a,b),c) != commutator(a,commutator(b,c)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f22,plain,
! [X0,X1,X2,X3] :
( multiply(commutator(X0,X1),X2) != multiply(X3,commutator(X0,X1))
| X2 = X3 ),
inference(paramodulation,[status(thm)],[f13,f9]) ).
fof(f43,plain,
! [X0,X1,X2] : multiply(X0,commutator(X0,commutator(X1,X2))) = X0,
inference(resolution,[status(thm)],[f22,f12]) ).
fof(f178,plain,
! [X0] : X0 = multiply(X0,commutator(X0,X0)),
inference(resolution,[status(thm)],[f11,f12]) ).
fof(f200,plain,
! [X0] : multiply(X0,commutator(commutator(a,b),c)) != multiply(X0,commutator(a,commutator(b,c))),
inference(resolution,[status(thm)],[f11,f14]) ).
fof(f226,plain,
! [X0,X1] :
( multiply(X0,X1) != X0
| X1 = commutator(X0,X0) ),
inference(paramodulation,[status(thm)],[f178,f11]) ).
fof(f316,plain,
! [X0,X1,X2] : commutator(X0,commutator(X1,X2)) = commutator(X0,X0),
inference(resolution,[status(thm)],[f226,f43]) ).
fof(f502,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,multiply(commutator(X0,X0),X1)),
inference(paramodulation,[status(thm)],[f178,f7]) ).
fof(f654,plain,
! [X0] : multiply(X0,commutator(commutator(a,b),c)) != multiply(X0,commutator(a,a)),
inference(forward_demodulation,[status(thm)],[f316,f200]) ).
fof(f660,plain,
! [X0,X1] : multiply(X0,multiply(X1,commutator(commutator(a,b),c))) != multiply(X0,multiply(X1,commutator(a,a))),
inference(resolution,[status(thm)],[f654,f11]) ).
fof(f1396,plain,
! [X0,X1] : X0 = multiply(commutator(X1,X1),X0),
inference(resolution,[status(thm)],[f502,f11]) ).
fof(f1465,plain,
! [X0,X1] : multiply(X0,commutator(X1,X1)) = X0,
inference(resolution,[status(thm)],[f1396,f22]) ).
fof(f1610,plain,
! [X0,X1] : multiply(X0,multiply(X1,commutator(commutator(a,b),c))) != multiply(X0,X1),
inference(backward_demodulation,[status(thm)],[f1465,f660]) ).
fof(f2158,plain,
multiply(commutator(a,b),c) != multiply(c,commutator(a,b)),
inference(paramodulation,[status(thm)],[f12,f1610]) ).
fof(f2159,plain,
multiply(c,commutator(a,b)) != multiply(c,commutator(a,b)),
inference(forward_demodulation,[status(thm)],[f13,f2158]) ).
fof(f2160,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f2159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GRP402-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.26 % Computer : n027.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 300
% 0.08/0.26 % DateTime : Tue Apr 30 00:48:17 EDT 2024
% 0.08/0.26 % CPUTime :
% 0.08/0.27 % Drodi V3.6.0
% 0.12/0.47 % Refutation found
% 0.12/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.48 % Elapsed time: 0.219948 seconds
% 0.12/0.48 % CPU time: 1.658463 seconds
% 0.12/0.48 % Total memory used: 64.843 MB
% 0.12/0.48 % Net memory used: 63.952 MB
%------------------------------------------------------------------------------