TSTP Solution File: GRP401-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP401-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 12:11:35 EDT 2023
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 21 unt; 0 def)
% Number of atoms : 39 ( 38 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 27 ( 18 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 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 : 68 (; 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] :
( multiply(A,B) != multiply(C,B)
| A = C ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B,C] :
( multiply(A,B) != multiply(A,C)
| B = C ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : multiply(A,B) = multiply(B,multiply(A,commutator(A,B))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : commutator(multiply(A,B),C) = multiply(commutator(A,C),commutator(B,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
multiply(commutator(a,b),c) != multiply(c,commutator(a,b)),
file('/export/starexec/sandbox/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] : commutator(multiply(X0,X1),X2) = multiply(commutator(X0,X2),commutator(X1,X2)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f14,plain,
multiply(commutator(a,b),c) != multiply(c,commutator(a,b)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f18,plain,
! [X0,X1,X2,X3] :
( multiply(multiply(X0,X1),X2) != multiply(X0,multiply(X1,X3))
| X2 = X3 ),
inference(paramodulation,[status(thm)],[f7,f11]) ).
fof(f19,plain,
! [X0,X1,X2,X3] :
( multiply(X0,multiply(X1,X2)) != multiply(X0,multiply(X1,X3))
| X2 = X3 ),
inference(forward_demodulation,[status(thm)],[f7,f18]) ).
fof(f22,plain,
! [X0,X1,X2,X3] :
( multiply(X0,X1) != multiply(X2,multiply(X3,X1))
| X0 = multiply(X2,X3) ),
inference(paramodulation,[status(thm)],[f7,f9]) ).
fof(f27,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X2,multiply(X0,multiply(X1,commutator(multiply(X0,X1),X2)))),
inference(paramodulation,[status(thm)],[f7,f12]) ).
fof(f28,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X0,multiply(X1,commutator(multiply(X0,X1),X2)))),
inference(forward_demodulation,[status(thm)],[f7,f27]) ).
fof(f30,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X1,multiply(multiply(X0,commutator(X0,X1)),X2)),
inference(paramodulation,[status(thm)],[f12,f7]) ).
fof(f31,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(multiply(X0,commutator(X0,X1)),X2)),
inference(forward_demodulation,[status(thm)],[f7,f30]) ).
fof(f32,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,multiply(commutator(X0,X1),X2))),
inference(forward_demodulation,[status(thm)],[f7,f31]) ).
fof(f219,plain,
! [X0] : multiply(multiply(commutator(a,b),c),X0) != multiply(c,multiply(commutator(a,b),X0)),
inference(resolution,[status(thm)],[f22,f14]) ).
fof(f220,plain,
! [X0] : multiply(commutator(a,b),multiply(c,X0)) != multiply(c,multiply(commutator(a,b),X0)),
inference(forward_demodulation,[status(thm)],[f7,f219]) ).
fof(f315,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(commutator(a,b),multiply(c,X2)))) != multiply(X0,multiply(X1,multiply(c,multiply(commutator(a,b),X2)))),
inference(resolution,[status(thm)],[f220,f19]) ).
fof(f2477,plain,
! [X0] : multiply(a,multiply(b,multiply(c,X0))) != multiply(b,multiply(a,multiply(c,multiply(commutator(a,b),X0)))),
inference(paramodulation,[status(thm)],[f32,f315]) ).
fof(f2912,plain,
! [X0] : multiply(a,multiply(b,multiply(c,commutator(X0,b)))) != multiply(b,multiply(a,multiply(c,commutator(multiply(a,X0),b)))),
inference(paramodulation,[status(thm)],[f13,f2477]) ).
fof(f4143,plain,
multiply(a,multiply(b,multiply(c,commutator(c,b)))) != multiply(a,multiply(c,b)),
inference(paramodulation,[status(thm)],[f28,f2912]) ).
fof(f4144,plain,
multiply(a,multiply(c,b)) != multiply(a,multiply(c,b)),
inference(forward_demodulation,[status(thm)],[f12,f4143]) ).
fof(f4145,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f4144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.08 % Problem : GRP401-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.28 % Computer : n012.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Tue May 30 11:30:10 EDT 2023
% 0.09/0.28 % CPUTime :
% 0.09/0.29 % Drodi V3.5.1
% 0.13/0.35 % Refutation found
% 0.13/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.36/0.58 % Elapsed time: 0.077661 seconds
% 0.36/0.58 % CPU time: 0.223313 seconds
% 0.36/0.58 % Memory used: 17.968 MB
%------------------------------------------------------------------------------