TSTP Solution File: ITP015+4 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ITP015+4 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 20:22:49 EDT 2024
% Result : Theorem 73.08s 16.97s
% Output : CNFRefutation 76.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 11 ( 10 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13903,axiom,
s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__0_2E0) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18987,axiom,
! [A_27a,V0w_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger__word_2Ew2i_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0w_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0w_2E0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19010,axiom,
! [A_27a] : s(tyop_2Einteger_2Eint,c_2Einteger__word_2Ew2i_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19036,conjecture,
! [A_27a] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19037,negated_conjecture,
~ ! [A_27a] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(negated_conjecture,[status(cth)],[f19036]) ).
fof(f60760,plain,
s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__0_2E0) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(cnf_transformation,[status(esa)],[f13903]) ).
fof(f73261,plain,
! [X0,X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger__word_2Ew2i_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1),
inference(cnf_transformation,[status(esa)],[f18987]) ).
fof(f73295,plain,
! [X0] : s(tyop_2Einteger_2Eint,c_2Einteger__word_2Ew2i_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(cnf_transformation,[status(esa)],[f19010]) ).
fof(f73346,plain,
? [A_27a] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(pre_NNF_transformation,[status(esa)],[f19037]) ).
fof(f73347,plain,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sk0_23203),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sk0_23203),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(skolemization,[status(esa)],[f73346]) ).
fof(f73348,plain,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sk0_23203),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sk0_23203),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(cnf_transformation,[status(esa)],[f73347]) ).
fof(f83686,plain,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sk0_23203),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__0_2E0))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sk0_23203),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(backward_demodulation,[status(thm)],[f60760,f73348]) ).
fof(f84093,plain,
! [X0] : s(tyop_2Einteger_2Eint,c_2Einteger__word_2Ew2i_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__0_2E0),
inference(forward_demodulation,[status(thm)],[f60760,f73295]) ).
fof(f84102,plain,
! [X0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(paramodulation,[status(thm)],[f84093,f73261]) ).
fof(f84115,plain,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sk0_23203),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sk0_23203),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(backward_demodulation,[status(thm)],[f84102,f83686]) ).
fof(f84116,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f84115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP015+4 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Apr 29 22:31:34 EDT 2024
% 0.13/0.33 % CPUTime :
% 8.59/8.80 % Drodi V3.6.0
% 73.08/16.97 % Refutation found
% 73.08/16.97 % SZS status Theorem for theBenchmark: Theorem is valid
% 73.08/16.97 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 78.68/17.68 % Elapsed time: 17.318077 seconds
% 78.68/17.68 % CPU time: 75.640820 seconds
% 78.68/17.68 % Total memory used: 6.151 GB
% 78.68/17.68 % Net memory used: 6.140 GB
%------------------------------------------------------------------------------