TSTP Solution File: GRP515-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP515-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 12:11:55 EDT 2023
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 2
% Syntax : Number of formulae : 31 ( 31 unt; 0 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 8 ( 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 : 75 (; 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : multiply(A,multiply(multiply(B,C),inverse(multiply(A,C)))) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f4,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f5,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,inverse(multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X3,X2))))))) = X3,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f6,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(X1,multiply(multiply(X2,X3),inverse(multiply(X0,X3)))),inverse(X2))) = X1,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(paramodulation,[status(thm)],[f3,f5]) ).
fof(f14,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = X1,
inference(paramodulation,[status(thm)],[f7,f5]) ).
fof(f23,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X2,X1)))) = X0,
inference(paramodulation,[status(thm)],[f14,f5]) ).
fof(f30,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X1,X2),inverse(X1))) = multiply(X0,X2),
inference(paramodulation,[status(thm)],[f14,f6]) ).
fof(f51,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,inverse(X2))) = multiply(X0,multiply(multiply(X1,X3),inverse(multiply(X2,X3)))),
inference(paramodulation,[status(thm)],[f3,f30]) ).
fof(f111,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,multiply(X1,inverse(multiply(X1,X2)))),multiply(multiply(X3,X2),inverse(X3))) = X0,
inference(paramodulation,[status(thm)],[f23,f23]) ).
fof(f112,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(X1,inverse(multiply(X1,X2)))),X2) = X0,
inference(forward_demodulation,[status(thm)],[f30,f111]) ).
fof(f133,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(X0,multiply(X2,inverse(multiply(X2,inverse(X1))))),
inference(paramodulation,[status(thm)],[f112,f30]) ).
fof(f134,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(X1,multiply(X2,inverse(multiply(X2,inverse(X0))))),
inference(paramodulation,[status(thm)],[f112,f14]) ).
fof(f135,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f133,f134]) ).
fof(f149,plain,
! [X0,X1] : X0 = multiply(multiply(X1,inverse(X1)),X0),
inference(paramodulation,[status(thm)],[f7,f135]) ).
fof(f155,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(paramodulation,[status(thm)],[f135,f4]) ).
fof(f159,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(paramodulation,[status(thm)],[f135,f14]) ).
fof(f188,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),inverse(X0)) = multiply(multiply(X2,inverse(X2)),X1),
inference(paramodulation,[status(thm)],[f30,f149]) ).
fof(f189,plain,
! [X0,X1,X2] : multiply(inverse(X0),multiply(X0,X1)) = multiply(multiply(X2,inverse(X2)),X1),
inference(forward_demodulation,[status(thm)],[f135,f188]) ).
fof(f190,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f149,f189]) ).
fof(f200,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),inverse(multiply(multiply(X2,inverse(X2)),X1))) = X0,
inference(paramodulation,[status(thm)],[f149,f23]) ).
fof(f201,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[status(thm)],[f149,f200]) ).
fof(f202,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f135,f201]) ).
fof(f226,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f7,f159]) ).
fof(f347,plain,
! [X0,X1,X2] : multiply(inverse(inverse(multiply(X0,X1))),multiply(X2,inverse(X0))) = multiply(X2,X1),
inference(paramodulation,[status(thm)],[f202,f51]) ).
fof(f348,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(X2,inverse(X0))) = multiply(X2,X1),
inference(forward_demodulation,[status(thm)],[f226,f347]) ).
fof(f670,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,inverse(inverse(X2)))) = multiply(X1,multiply(X2,X0)),
inference(paramodulation,[status(thm)],[f190,f348]) ).
fof(f671,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X2,X0)),
inference(forward_demodulation,[status(thm)],[f226,f670]) ).
fof(f672,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f155,f671]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP515-1 : TPTP v8.1.2. Released v2.6.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 11:45:13 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.38 % Elapsed time: 0.035217 seconds
% 0.20/0.38 % CPU time: 0.183903 seconds
% 0.20/0.38 % Memory used: 3.182 MB
%------------------------------------------------------------------------------