TSTP Solution File: GRP559-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP559-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 12:12:03 EDT 2023
% Result : Unsatisfiable 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 3
% Syntax : Number of formulae : 54 ( 54 unt; 0 def)
% Number of atoms : 54 ( 53 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 : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 138 (; 138 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(A,inverse(divide(divide(B,C),divide(A,C)))) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = divide(A,inverse(B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : divide(X0,inverse(divide(divide(X1,X2),divide(X0,X2)))) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2] : multiply(X0,divide(divide(X1,X2),divide(X0,X2))) = X1,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2] : multiply(X0,divide(multiply(X1,X2),divide(X0,inverse(X2)))) = X1,
inference(paramodulation,[status(thm)],[f5,f7]) ).
fof(f9,plain,
! [X0,X1,X2] : multiply(X0,divide(multiply(X1,X2),multiply(X0,X2))) = X1,
inference(forward_demodulation,[status(thm)],[f5,f8]) ).
fof(f12,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(X1,multiply(X0,divide(multiply(X1,X2),multiply(X3,X2))))) = X3,
inference(paramodulation,[status(thm)],[f9,f9]) ).
fof(f14,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(multiply(X1,divide(multiply(X2,X3),multiply(X0,X3))),X2)) = X1,
inference(paramodulation,[status(thm)],[f9,f9]) ).
fof(f16,plain,
! [X0,X1] : multiply(X0,divide(X1,X1)) = X0,
inference(paramodulation,[status(thm)],[f9,f12]) ).
fof(f34,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(paramodulation,[status(thm)],[f5,f16]) ).
fof(f35,plain,
! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f16,f12]) ).
fof(f45,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f5,f35]) ).
fof(f53,plain,
! [X0,X1] : multiply(X0,inverse(divide(X1,X1))) = X0,
inference(paramodulation,[status(thm)],[f16,f34]) ).
fof(f68,plain,
! [X0,X1] : multiply(inverse(divide(X0,X1)),X0) = X1,
inference(paramodulation,[status(thm)],[f35,f45]) ).
fof(f86,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(X1,divide(multiply(inverse(X2),X3),multiply(X0,X3))),X2)) = X1,
inference(paramodulation,[status(thm)],[f5,f14]) ).
fof(f123,plain,
! [X0,X1] : inverse(divide(inverse(divide(X0,X0)),X1)) = X1,
inference(paramodulation,[status(thm)],[f53,f68]) ).
fof(f125,plain,
! [X0,X1] : inverse(divide(divide(X0,X0),X1)) = X1,
inference(paramodulation,[status(thm)],[f16,f68]) ).
fof(f137,plain,
! [X0,X1] : multiply(inverse(X0),X1) = inverse(divide(X0,X1)),
inference(paramodulation,[status(thm)],[f68,f45]) ).
fof(f143,plain,
! [X0,X1] : inverse(divide(divide(X0,X1),X0)) = X1,
inference(backward_demodulation,[status(thm)],[f137,f68]) ).
fof(f161,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(X1,divide(inverse(divide(X2,X3)),multiply(X0,X3))),X2)) = X1,
inference(backward_demodulation,[status(thm)],[f137,f86]) ).
fof(f194,plain,
! [X0,X1] : inverse(multiply(divide(inverse(X0),X1),X0)) = X1,
inference(paramodulation,[status(thm)],[f5,f143]) ).
fof(f239,plain,
! [X0,X1,X2] : multiply(X0,divide(inverse(divide(X1,X1)),X2)) = divide(X0,X2),
inference(paramodulation,[status(thm)],[f123,f5]) ).
fof(f251,plain,
! [X0,X1] : inverse(X0) = inverse(divide(X0,divide(X1,X1))),
inference(paramodulation,[status(thm)],[f16,f137]) ).
fof(f252,plain,
! [X0,X1,X2] : multiply(X0,X1) = inverse(divide(divide(inverse(divide(X2,X2)),X0),X1)),
inference(paramodulation,[status(thm)],[f123,f137]) ).
fof(f413,plain,
! [X0,X1] : inverse(divide(X0,X0)) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f125,f251]) ).
fof(f481,plain,
! [X0,X1,X2] : multiply(X0,divide(inverse(divide(X1,X1)),divide(X0,X2))) = X2,
inference(paramodulation,[status(thm)],[f413,f7]) ).
fof(f482,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f239,f481]) ).
fof(f695,plain,
! [X0,X1] : divide(X0,multiply(X0,X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f5,f482]) ).
fof(f700,plain,
! [X0,X1] : inverse(X0) = divide(inverse(divide(X1,X1)),X0),
inference(paramodulation,[status(thm)],[f482,f123]) ).
fof(f701,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = divide(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f482,f194]) ).
fof(f702,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
inference(paramodulation,[status(thm)],[f482,f125]) ).
fof(f703,plain,
! [X0,X1] : inverse(divide(X0,X1)) = divide(X1,X0),
inference(paramodulation,[status(thm)],[f482,f143]) ).
fof(f708,plain,
! [X0,X1] : multiply(X0,X1) = inverse(divide(inverse(X0),X1)),
inference(backward_demodulation,[status(thm)],[f700,f252]) ).
fof(f709,plain,
! [X0,X1] : multiply(X0,X1) = divide(X1,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f703,f708]) ).
fof(f710,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f5,f709]) ).
fof(f711,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(backward_demodulation,[status(thm)],[f700,f239]) ).
fof(f730,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(X1,inverse(multiply(multiply(X0,X2),divide(X3,X2)))),X3)) = X1,
inference(backward_demodulation,[status(thm)],[f701,f161]) ).
fof(f731,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X3),divide(X1,X3)))))) = X2,
inference(forward_demodulation,[status(thm)],[f710,f730]) ).
fof(f732,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,divide(X2,multiply(multiply(X0,X3),divide(X1,X3))))) = X2,
inference(forward_demodulation,[status(thm)],[f711,f731]) ).
fof(f1023,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,X2)) = divide(X0,divide(X2,X1)),
inference(paramodulation,[status(thm)],[f703,f5]) ).
fof(f1060,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,divide(X2,divide(multiply(X0,X3),divide(X3,X1))))) = X2,
inference(backward_demodulation,[status(thm)],[f1023,f732]) ).
fof(f1061,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(X1,divide(divide(multiply(X0,X2),divide(X2,X1)),X3))) = X3,
inference(forward_demodulation,[status(thm)],[f1023,f1060]) ).
fof(f1062,plain,
! [X0,X1,X2,X3] : divide(X0,divide(divide(divide(multiply(X0,X1),divide(X1,X2)),X3),X2)) = X3,
inference(forward_demodulation,[status(thm)],[f1023,f1061]) ).
fof(f1189,plain,
! [X0,X1,X2] : divide(X0,inverse(X1)) = divide(multiply(X0,X2),divide(X2,X1)),
inference(paramodulation,[status(thm)],[f702,f1062]) ).
fof(f1190,plain,
! [X0,X1,X2] : multiply(X0,X1) = divide(multiply(X0,X2),divide(X2,X1)),
inference(forward_demodulation,[status(thm)],[f5,f1189]) ).
fof(f1200,plain,
! [X0,X1,X2,X3] : divide(X0,divide(inverse(X1),X2)) = multiply(divide(multiply(X0,X3),divide(X3,X2)),X1),
inference(paramodulation,[status(thm)],[f695,f1062]) ).
fof(f1201,plain,
! [X0,X1,X2,X3] : divide(X0,inverse(multiply(X1,X2))) = multiply(divide(multiply(X0,X3),divide(X3,X1)),X2),
inference(forward_demodulation,[status(thm)],[f701,f1200]) ).
fof(f1202,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(divide(multiply(X0,X3),divide(X3,X1)),X2),
inference(forward_demodulation,[status(thm)],[f5,f1201]) ).
fof(f1203,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f1190,f1202]) ).
fof(f1297,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f1203,f6]) ).
fof(f1298,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f1297]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09 % Problem : GRP559-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n026.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue May 30 11:48:43 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.30 % Drodi V3.5.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.41 % Elapsed time: 0.111438 seconds
% 0.14/0.41 % CPU time: 0.447721 seconds
% 0.14/0.41 % Memory used: 9.666 MB
%------------------------------------------------------------------------------