TSTP Solution File: LCL753-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL753-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 20:28:01 EDT 2024
% Result : Unsatisfiable 102.77s 13.38s
% Output : CNFRefutation 104.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 18 unt; 0 def)
% Number of atoms : 36 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 8 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 59 ( 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [V_n,V_t,V_k] : c_Lambda_Oliftn(c_Suc(V_n),V_t,V_k) = c_Lambda_Olift(c_Lambda_Oliftn(V_n,V_t,V_k),V_k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f149,axiom,
! [V_n] : c_Suc(V_n) = c_HOL_Oplus__class_Oplus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f194,axiom,
! [V_n,V_i,V_k] :
( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(V_i,V_n,tc_nat))
| c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f259,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(f297,axiom,
! [V_m] : ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f595,axiom,
! [V_t,V_s,V_k] : c_Lambda_Osubst(c_Lambda_OdB_OAbs(V_t),V_s,V_k) = c_Lambda_OdB_OAbs(c_Lambda_Osubst(V_t,c_Lambda_Olift(V_s,c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oplus__class_Oplus(V_k,c_HOL_Oone__class_Oone(tc_nat),tc_nat))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f678,axiom,
! [V_r] :
( c_InductTermi_OIT(c_Lambda_OdB_OAbs(V_r))
| ~ c_InductTermi_OIT(V_r) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f683,negated_conjecture,
! [V_i,V_j] : c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(V_i),V_j)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f684,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OAbs(v_ra),c_Lambda_OdB_OVar(v_ia),v_ja)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f747,plain,
! [X0,X1,X2] : c_Lambda_Oliftn(c_Suc(X0),X1,X2) = c_Lambda_Olift(c_Lambda_Oliftn(X0,X1,X2),X2),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f950,plain,
! [X0] : c_Suc(X0) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(cnf_transformation,[status(esa)],[f149]) ).
fof(f1014,plain,
! [V_i,V_k] :
( ! [V_n] : c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(V_i,V_n,tc_nat))
| c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ),
inference(miniscoping,[status(esa)],[f194]) ).
fof(f1015,plain,
! [X0,X1,X2] :
( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(X1,X0,tc_nat))
| c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(cnf_transformation,[status(esa)],[f1014]) ).
fof(f1109,plain,
! [X0,X1] : c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = X0,
inference(cnf_transformation,[status(esa)],[f259]) ).
fof(f1168,plain,
! [X0] : ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(cnf_transformation,[status(esa)],[f297]) ).
fof(f1660,plain,
! [X0,X1,X2] : c_Lambda_Osubst(c_Lambda_OdB_OAbs(X0),X1,X2) = c_Lambda_OdB_OAbs(c_Lambda_Osubst(X0,c_Lambda_Olift(X1,c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat))),
inference(cnf_transformation,[status(esa)],[f595]) ).
fof(f1780,plain,
! [X0] :
( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0))
| ~ c_InductTermi_OIT(X0) ),
inference(cnf_transformation,[status(esa)],[f678]) ).
fof(f1785,plain,
! [X0,X1] : c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X0),X1)),
inference(cnf_transformation,[status(esa)],[f683]) ).
fof(f1786,plain,
~ c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OAbs(v_ra),c_Lambda_OdB_OVar(v_ia),v_ja)),
inference(cnf_transformation,[status(esa)],[f684]) ).
fof(f3090,plain,
! [X0,X1,X2,X3] : c_Lambda_Osubst(c_Lambda_OdB_OAbs(X0),c_Lambda_Oliftn(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)),X3) = c_Lambda_OdB_OAbs(c_Lambda_Osubst(X0,c_Lambda_Oliftn(c_Suc(X1),X2,c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat))),
inference(paramodulation,[status(thm)],[f747,f1660]) ).
fof(f3971,plain,
! [X0,X1,X2,X3] :
( c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OAbs(X0),c_Lambda_Oliftn(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)),X3))
| ~ c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_Oliftn(c_Suc(X1),X2,c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat))) ),
inference(paramodulation,[status(thm)],[f3090,f1780]) ).
fof(f16908,plain,
! [X0,X1,X2,X3] :
( c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OAbs(X0),c_Lambda_Oliftn(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)),X3))
| ~ c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_Oliftn(c_Suc(X1),X2,c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(X3))) ),
inference(forward_demodulation,[status(thm)],[f950,f3971]) ).
fof(f59793,plain,
! [X0,X1,X2,X3] :
( c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2),X3))
| c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(paramodulation,[status(thm)],[f1015,f1785]) ).
fof(f60390,plain,
! [X0,X1,X2] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OAbs(v_ra),c_Lambda_Oliftn(X1,c_Lambda_OdB_OVar(X0),c_HOL_Ozero__class_Ozero(tc_nat)),X2)) ),
inference(resolution,[status(thm)],[f59793,f16908]) ).
fof(f60391,plain,
! [X0,X1,X2] : c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OAbs(v_ra),c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),c_HOL_Ozero__class_Ozero(tc_nat)),X2)),
inference(forward_subsumption_resolution,[status(thm)],[f60390,f1168]) ).
fof(f60406,plain,
! [X0,X1] : c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OAbs(v_ra),c_Lambda_OdB_OVar(X0),X1)),
inference(paramodulation,[status(thm)],[f1109,f60391]) ).
fof(f60411,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f1786,f60406]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL753-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 21:04:13 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.42 % Drodi V3.6.0
% 102.77/13.38 % Refutation found
% 102.77/13.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 102.77/13.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 104.81/13.98 % Elapsed time: 13.619737 seconds
% 104.81/13.98 % CPU time: 104.282767 seconds
% 104.81/13.98 % Total memory used: 1.495 GB
% 104.81/13.98 % Net memory used: 1.473 GB
%------------------------------------------------------------------------------