TSTP Solution File: SWW338+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWW338+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 12:44:44 EDT 2023
% Result : Theorem 183.18s 23.81s
% Output : CNFRefutation 183.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-3 aty)
% Number of variables : 31 (; 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2633,axiom,
! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3857,axiom,
! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5208,axiom,
! [V_R_2,V_Q_2,V_P_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBS(T_c,T_d,T_b),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),hAPP(V_Q_2,V_R_2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13393,plain,
! [X0] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),X0) = X0,
inference(cnf_transformation,[status(esa)],[f2633]) ).
fof(f16719,plain,
! [X0,X1,X2] : X0 != hAPP(hAPP(c_List_Olist_OCons(X1),X2),X0),
inference(cnf_transformation,[status(esa)],[f3857]) ).
fof(f20049,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),X4),X5) = hAPP(hAPP(X3,X5),hAPP(X4,X5)),
inference(cnf_transformation,[status(esa)],[f5208]) ).
fof(f100092,plain,
! [X0,X1,X2,X3,X4] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),c_Nat_Osize__class_Osize(tc_Nat_Onat)),X4) = hAPP(hAPP(X3,X4),X4),
inference(paramodulation,[status(thm)],[f13393,f20049]) ).
fof(f100412,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(X0,X1) != hAPP(hAPP(hAPP(c_COMBS(X2,X3,X4),c_List_Olist_OCons(X5)),X0),X1),
inference(paramodulation,[status(thm)],[f20049,f16719]) ).
fof(f107607,plain,
$false,
inference(resolution,[status(thm)],[f100092,f100412]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW338+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n024.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 : Tue May 30 10:58:03 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.61/0.79 % Drodi V3.5.1
% 183.18/23.81 % Refutation found
% 183.18/23.81 % SZS status Theorem for theBenchmark: Theorem is valid
% 183.18/23.81 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 184.18/24.48 % Elapsed time: 24.114838 seconds
% 184.18/24.48 % CPU time: 183.544973 seconds
% 184.18/24.48 % Memory used: 1.676 GB
%------------------------------------------------------------------------------