TSTP Solution File: SWW209+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWW209+1 : TPTP v8.1.2. Released v5.2.0.
% 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 : Wed May 31 12:44:29 EDT 2023
% Result : Theorem 0.19s 0.46s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 29 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 4 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-4 aty)
% Number of variables : 30 (; 28 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [B_m,B_n] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_m,B_n)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,B_m),hAPP(v_f____,B_n)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [B_m,B_n] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_m,B_n)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,B_m),hAPP(v_ga____,B_n)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [V_xa_2,V_gb_2,V_fa_2,T_c,T_a,T_b] : hAPP(hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_fa_2),V_gb_2),V_xa_2) = hAPP(V_fa_2,hAPP(V_gb_2,V_xa_2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1161,conjecture,
! [B_m,B_n] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_m,B_n)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),B_m),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),B_n)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1162,negated_conjecture,
~ ! [B_m,B_n] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_m,B_n)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),B_m),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),B_n)) ),
inference(negated_conjecture,[status(cth)],[f1161]) ).
fof(f1166,plain,
! [B_m,B_n] :
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_m,B_n)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,B_m),hAPP(v_f____,B_n)) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f1167,plain,
! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,X0),hAPP(v_f____,X1)) ),
inference(cnf_transformation,[status(esa)],[f1166]) ).
fof(f1168,plain,
! [B_m,B_n] :
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_m,B_n)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,B_m),hAPP(v_ga____,B_n)) ),
inference(pre_NNF_transformation,[status(esa)],[f3]) ).
fof(f1169,plain,
! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,X0),hAPP(v_ga____,X1)) ),
inference(cnf_transformation,[status(esa)],[f1168]) ).
fof(f1173,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(c_Fun_Ocomp(X0,X1,X2,X3),X4),X5) = hAPP(X3,hAPP(X4,X5)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f4488,plain,
? [B_m,B_n] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_m,B_n)
& ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),B_m),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),B_n)) ),
inference(pre_NNF_transformation,[status(esa)],[f1162]) ).
fof(f4489,plain,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk0_50,sk0_51)
& ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),sk0_50),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),sk0_51)) ),
inference(skolemization,[status(esa)],[f4488]) ).
fof(f4490,plain,
c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk0_50,sk0_51),
inference(cnf_transformation,[status(esa)],[f4489]) ).
fof(f4491,plain,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),sk0_50),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),sk0_51)),
inference(cnf_transformation,[status(esa)],[f4489]) ).
fof(f4686,plain,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),sk0_50),hAPP(v_f____,hAPP(v_ga____,sk0_51))),
inference(backward_demodulation,[status(thm)],[f1173,f4491]) ).
fof(f4687,plain,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,hAPP(v_ga____,sk0_50)),hAPP(v_f____,hAPP(v_ga____,sk0_51))),
inference(forward_demodulation,[status(thm)],[f1173,f4686]) ).
fof(f4697,plain,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,sk0_50),hAPP(v_ga____,sk0_51)),
inference(resolution,[status(thm)],[f4687,f1167]) ).
fof(f4698,plain,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk0_50,sk0_51),
inference(resolution,[status(thm)],[f4697,f1169]) ).
fof(f4699,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f4698,f4490]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW209+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 10:19:40 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.43 % Drodi V3.5.1
% 0.19/0.46 % Refutation found
% 0.19/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.50 % Elapsed time: 0.156989 seconds
% 0.19/0.50 % CPU time: 0.313223 seconds
% 0.19/0.50 % Memory used: 52.138 MB
%------------------------------------------------------------------------------