TSTP Solution File: KLE074+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : KLE074+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 12:15:43 EDT 2023
% Result : Theorem 0.19s 0.57s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 25 (; 22 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
! [X0,X1,X2] : domain(multiplication(multiplication(X0,X1),domain(X2))) = domain(multiplication(X0,domain(multiplication(X1,domain(X2))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ! [X0,X1,X2] : domain(multiplication(multiplication(X0,X1),domain(X2))) = domain(multiplication(X0,domain(multiplication(X1,domain(X2))))),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f24,plain,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f36,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f40,plain,
? [X0,X1,X2] : domain(multiplication(multiplication(X0,X1),domain(X2))) != domain(multiplication(X0,domain(multiplication(X1,domain(X2))))),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f41,plain,
domain(multiplication(multiplication(sk0_0,sk0_1),domain(sk0_2))) != domain(multiplication(sk0_0,domain(multiplication(sk0_1,domain(sk0_2))))),
inference(skolemization,[status(esa)],[f40]) ).
fof(f42,plain,
domain(multiplication(multiplication(sk0_0,sk0_1),domain(sk0_2))) != domain(multiplication(sk0_0,domain(multiplication(sk0_1,domain(sk0_2))))),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f43,plain,
domain(multiplication(sk0_0,multiplication(sk0_1,domain(sk0_2)))) != domain(multiplication(sk0_0,domain(multiplication(sk0_1,domain(sk0_2))))),
inference(backward_demodulation,[status(thm)],[f24,f42]) ).
fof(f47,plain,
domain(multiplication(sk0_0,multiplication(sk0_1,domain(sk0_2)))) != domain(multiplication(sk0_0,domain(multiplication(sk0_1,sk0_2)))),
inference(backward_demodulation,[status(thm)],[f36,f43]) ).
fof(f48,plain,
domain(multiplication(sk0_0,multiplication(sk0_1,domain(sk0_2)))) != domain(multiplication(sk0_0,multiplication(sk0_1,sk0_2))),
inference(forward_demodulation,[status(thm)],[f36,f47]) ).
fof(f49,plain,
! [X0,X1,X2] : domain(multiplication(multiplication(X0,X1),X2)) = domain(multiplication(X0,multiplication(X1,domain(X2)))),
inference(paramodulation,[status(thm)],[f24,f36]) ).
fof(f50,plain,
! [X0,X1,X2] : domain(multiplication(X0,multiplication(X1,X2))) = domain(multiplication(X0,multiplication(X1,domain(X2)))),
inference(forward_demodulation,[status(thm)],[f24,f49]) ).
fof(f59,plain,
domain(multiplication(sk0_0,multiplication(sk0_1,sk0_2))) != domain(multiplication(sk0_0,multiplication(sk0_1,sk0_2))),
inference(backward_demodulation,[status(thm)],[f50,f48]) ).
fof(f60,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE074+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:49:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.35 % Drodi V3.5.1
% 0.19/0.57 % Refutation found
% 0.19/0.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.58 % Elapsed time: 0.011701 seconds
% 0.19/0.58 % CPU time: 0.027929 seconds
% 0.19/0.58 % Memory used: 9.113 MB
%------------------------------------------------------------------------------