TSTP Solution File: SWV821-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV821-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 20:49:23 EDT 2024
% Result : Unsatisfiable 6.29s 1.34s
% Output : CNFRefutation 6.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 18 unt; 0 def)
% Number of atoms : 33 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-4 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f672,axiom,
! [V_n] : c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f822,axiom,
! [V_m,V_n] : c_Orderings_Oord__class_Omin(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_Suc(c_Orderings_Oord__class_Omin(V_m,V_n,tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1210,axiom,
! [V_n] : c_Orderings_Oord__class_Omin(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1225,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(f1230,axiom,
! [V_n] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1242,axiom,
! [V_c,V_s,V_m,V_t,V_n] :
( c_Natural_Oevaln(V_c,V_s,V_m,V_t)
| ~ c_lessequals(V_n,V_m,tc_nat)
| ~ c_Natural_Oevaln(V_c,V_s,V_n,V_t) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1251,axiom,
! [V_n,V_P,V_s,V_s1] :
( V_n = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(V_P,V_n,V_s,V_s1))
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(V_P),V_s,V_n,V_s1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1266,negated_conjecture,
c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_HOL_Ozero__class_Ozero(tc_nat),v_xb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2384,plain,
! [X0] : c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat),
inference(cnf_transformation,[status(esa)],[f672]) ).
fof(f2649,plain,
! [X0,X1] : c_Orderings_Oord__class_Omin(c_Suc(X0),c_Suc(X1),tc_nat) = c_Suc(c_Orderings_Oord__class_Omin(X0,X1,tc_nat)),
inference(cnf_transformation,[status(esa)],[f822]) ).
fof(f3273,plain,
! [X0] : c_Orderings_Oord__class_Omin(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(cnf_transformation,[status(esa)],[f1210]) ).
fof(f3293,plain,
! [X0] : ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(cnf_transformation,[status(esa)],[f1225]) ).
fof(f3298,plain,
! [X0] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),
inference(cnf_transformation,[status(esa)],[f1230]) ).
fof(f3311,plain,
! [V_c,V_s,V_t,V_n] :
( ! [V_m] :
( c_Natural_Oevaln(V_c,V_s,V_m,V_t)
| ~ c_lessequals(V_n,V_m,tc_nat) )
| ~ c_Natural_Oevaln(V_c,V_s,V_n,V_t) ),
inference(miniscoping,[status(esa)],[f1242]) ).
fof(f3312,plain,
! [X0,X1,X2,X3,X4] :
( c_Natural_Oevaln(X0,X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_nat)
| ~ c_Natural_Oevaln(X0,X1,X4,X3) ),
inference(cnf_transformation,[status(esa)],[f3311]) ).
fof(f3327,plain,
! [X0,X1,X2,X3] :
( X0 = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X0,X2,X3))
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,X0,X3) ),
inference(cnf_transformation,[status(esa)],[f1251]) ).
fof(f3345,plain,
c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_HOL_Ozero__class_Ozero(tc_nat),v_xb),
inference(cnf_transformation,[status(esa)],[f1266]) ).
fof(f3533,plain,
! [X0] :
( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,X0,v_xb)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
inference(resolution,[status(thm)],[f3312,f3345]) ).
fof(f3534,plain,
! [X0] : c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,X0,v_xb),
inference(forward_subsumption_resolution,[status(thm)],[f3533,f3298]) ).
fof(f3645,plain,
! [X0] : X0 = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,X0,v_xa,v_xb)),
inference(resolution,[status(thm)],[f3327,f3534]) ).
fof(f3960,plain,
! [X0,X1] : c_Orderings_Oord__class_Omin(c_Suc(X0),X1,tc_nat) = c_Suc(c_Orderings_Oord__class_Omin(X0,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,X1,v_xa,v_xb),tc_nat)),
inference(paramodulation,[status(thm)],[f3645,f2649]) ).
fof(f4029,plain,
! [X0,X1] : c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,X1,v_xa,v_xb),tc_nat),c_Orderings_Oord__class_Omin(c_Suc(X0),X1,tc_nat),tc_nat),
inference(paramodulation,[status(thm)],[f3960,f2384]) ).
fof(f4078,plain,
! [X0] : c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_HOL_Ozero__class_Ozero(tc_nat),v_xa,v_xb),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(paramodulation,[status(thm)],[f3273,f4029]) ).
fof(f4079,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f4078,f3293]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV821-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:17:03 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.47 % Drodi V3.6.0
% 6.29/1.34 % Refutation found
% 6.29/1.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.29/1.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.13/1.38 % Elapsed time: 1.018341 seconds
% 7.13/1.38 % CPU time: 7.078409 seconds
% 7.13/1.38 % Total memory used: 192.807 MB
% 7.13/1.38 % Net memory used: 190.302 MB
%------------------------------------------------------------------------------