TSTP Solution File: LCL855-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL855-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 12:20:43 EDT 2023
% Result : Unsatisfiable 30.59s 4.26s
% Output : CNFRefutation 30.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 24 unt; 0 def)
% Number of atoms : 30 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 45 (; 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f270,axiom,
! [V_t,V_k] : c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),V_t,V_k) = V_t,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f290,axiom,
! [V_n] : ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f321,axiom,
! [V_x,V_s] :
( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
| c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_x),V_s,V_x) = c_Lambda_Oliftn(V_x,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f324,axiom,
! [V_t,V_k,V_s] : c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k) = V_t,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f327,axiom,
! [V_t,V_s,V_n] : c_Lambda_Osubstn(V_t,V_s,V_n) = c_Lambda_Osubst(V_t,c_Lambda_Oliftn(V_n,V_s,c_HOL_Ozero__class_Ozero(tc_nat)),V_n),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f337,axiom,
! [V_t,V_s] : c_Lambda_Osubstn(V_t,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) = c_Lambda_Osubst(V_t,V_s,c_HOL_Ozero__class_Ozero(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f359,axiom,
! [V_t,V_u,V_s,V_k] : c_Lambda_Osubstn(c_Lambda_OdB_OApp(V_t,V_u),V_s,V_k) = c_Lambda_OdB_OApp(c_Lambda_Osubstn(V_t,V_s,V_k),c_Lambda_Osubstn(V_u,V_s,V_k)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f361,axiom,
c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_s____,c_HOL_Ozero__class_Ozero(tc_nat))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f362,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_s____,v_ta____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f832,plain,
! [X0,X1] : c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = X0,
inference(cnf_transformation,[status(esa)],[f270]) ).
fof(f860,plain,
! [X0] : ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat),
inference(cnf_transformation,[status(esa)],[f290]) ).
fof(f894,plain,
! [V_x] :
( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
| ! [V_s] : c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_x),V_s,V_x) = c_Lambda_Oliftn(V_x,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) ),
inference(miniscoping,[status(esa)],[f321]) ).
fof(f895,plain,
! [X0,X1] :
( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
| c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)) ),
inference(cnf_transformation,[status(esa)],[f894]) ).
fof(f899,plain,
! [X0,X1,X2] : c_Lambda_Osubst(c_Lambda_Olift(X0,X1),X2,X1) = X0,
inference(cnf_transformation,[status(esa)],[f324]) ).
fof(f904,plain,
! [X0,X1,X2] : c_Lambda_Osubstn(X0,X1,X2) = c_Lambda_Osubst(X0,c_Lambda_Oliftn(X2,X1,c_HOL_Ozero__class_Ozero(tc_nat)),X2),
inference(cnf_transformation,[status(esa)],[f327]) ).
fof(f917,plain,
! [X0,X1] : c_Lambda_Osubstn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)) = c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)),
inference(cnf_transformation,[status(esa)],[f337]) ).
fof(f947,plain,
! [X0,X1,X2,X3] : c_Lambda_Osubstn(c_Lambda_OdB_OApp(X0,X1),X2,X3) = c_Lambda_OdB_OApp(c_Lambda_Osubstn(X0,X2,X3),c_Lambda_Osubstn(X1,X2,X3)),
inference(cnf_transformation,[status(esa)],[f359]) ).
fof(f949,plain,
c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_s____,c_HOL_Ozero__class_Ozero(tc_nat))),
inference(cnf_transformation,[status(esa)],[f361]) ).
fof(f950,plain,
~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_s____,v_ta____)),
inference(cnf_transformation,[status(esa)],[f362]) ).
fof(f38295,plain,
! [X0,X1] : c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)),
inference(forward_subsumption_resolution,[status(thm)],[f895,f860]) ).
fof(f38572,plain,
! [X0,X1,X2] : c_Lambda_Osubstn(c_Lambda_Olift(X0,X1),X2,X1) = X0,
inference(paramodulation,[status(thm)],[f899,f904]) ).
fof(f40828,plain,
c_InductTermi_OIT(c_Lambda_Osubstn(c_Lambda_OdB_OApp(c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_s____,c_HOL_Ozero__class_Ozero(tc_nat))),
inference(backward_demodulation,[status(thm)],[f917,f949]) ).
fof(f42373,plain,
! [X0,X1,X2,X3] : c_Lambda_Osubstn(c_Lambda_OdB_OApp(X0,c_Lambda_Olift(X1,X2)),X3,X2) = c_Lambda_OdB_OApp(c_Lambda_Osubstn(X0,X3,X2),X1),
inference(paramodulation,[status(thm)],[f38572,f947]) ).
fof(f42870,plain,
c_InductTermi_OIT(c_Lambda_OdB_OApp(c_Lambda_Osubstn(c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),v_s____,c_HOL_Ozero__class_Ozero(tc_nat)),v_ta____)),
inference(backward_demodulation,[status(thm)],[f42373,f40828]) ).
fof(f42871,plain,
c_InductTermi_OIT(c_Lambda_OdB_OApp(c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),v_s____,c_HOL_Ozero__class_Ozero(tc_nat)),v_ta____)),
inference(forward_demodulation,[status(thm)],[f38295,f42870]) ).
fof(f42872,plain,
c_InductTermi_OIT(c_Lambda_OdB_OApp(v_s____,v_ta____)),
inference(forward_demodulation,[status(thm)],[f832,f42871]) ).
fof(f42873,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f42872,f950]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL855-1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n015.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue May 30 09:56:49 EDT 2023
% 0.10/0.33 % CPUTime :
% 0.10/0.35 % Drodi V3.5.1
% 30.59/4.26 % Refutation found
% 30.59/4.26 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 30.59/4.26 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 31.27/4.38 % Elapsed time: 4.029066 seconds
% 31.27/4.38 % CPU time: 31.149689 seconds
% 31.27/4.38 % Memory used: 357.516 MB
%------------------------------------------------------------------------------