TSTP Solution File: SWW250+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW250+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 20:49:54 EDT 2024
% Result : Theorem 274.07s 34.94s
% Output : CNFRefutation 275.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 20 unt; 0 def)
% Number of atoms : 36 ( 35 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 23 ( 13 ~; 7 |; 2 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 79 ( 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f49,axiom,
! [V_n_2,V_k_2,V_m_2] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2)
<=> V_m_2 = V_n_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f81,axiom,
! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f82,axiom,
! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f83,axiom,
! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f706,axiom,
! [V_nat_2,V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2),hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(V_f2_2,V_nat_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1202,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/sandbox/benchmark/theBenchmark.p') ).
fof(f1361,plain,
! [V_n_2,V_k_2,V_m_2] :
( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2)
| V_m_2 = V_n_2 )
& ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2)
| V_m_2 != V_n_2 ) ),
inference(NNF_transformation,[status(esa)],[f49]) ).
fof(f1362,plain,
( ! [V_n_2,V_m_2] :
( ! [V_k_2] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2)
| V_m_2 = V_n_2 )
& ! [V_n_2,V_m_2] :
( ! [V_k_2] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2)
| V_m_2 != V_n_2 ) ),
inference(miniscoping,[status(esa)],[f1361]) ).
fof(f1363,plain,
! [X0,X1,X2] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)
| X0 = X2 ),
inference(cnf_transformation,[status(esa)],[f1362]) ).
fof(f1383,plain,
! [X0] : hAPP(c_Nat_OSuc,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f1441,plain,
! [X0] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) = X0,
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f1442,plain,
! [X0,X1] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0)),X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),hAPP(c_Nat_OSuc,X1)),
inference(cnf_transformation,[status(esa)],[f82]) ).
fof(f1443,plain,
! [X0,X1] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0)),X1) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),
inference(cnf_transformation,[status(esa)],[f83]) ).
fof(f3499,plain,
! [X0,X1,X2,X3] : hAPP(c_Nat_Onat_Onat__case(X0,X1,X2),hAPP(c_Nat_OSuc,X3)) = hAPP(X2,X3),
inference(cnf_transformation,[status(esa)],[f706]) ).
fof(f4767,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)],[f1202]) ).
fof(f5184,plain,
! [X0,X1] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1) != X1
| X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(paramodulation,[status(thm)],[f1441,f1363]) ).
fof(f5190,plain,
! [X0,X1] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),hAPP(c_Nat_OSuc,X1)) != X1
| hAPP(c_Nat_OSuc,X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(paramodulation,[status(thm)],[f1442,f5184]) ).
fof(f5191,plain,
! [X0,X1] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),hAPP(c_Nat_OSuc,X1)) != X1,
inference(forward_subsumption_resolution,[status(thm)],[f5190,f1383]) ).
fof(f5552,plain,
! [X0,X1,X2,X3,X4] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),X3),hAPP(c_Nat_OSuc,X4)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4),hAPP(c_Nat_OSuc,hAPP(X3,hAPP(c_Nat_OSuc,X4)))),
inference(paramodulation,[status(thm)],[f1442,f4767]) ).
fof(f7930,plain,
! [X0,X1] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),hAPP(c_Nat_OSuc,X1)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),
inference(forward_demodulation,[status(thm)],[f1442,f1443]) ).
fof(f7957,plain,
! [X0,X1] : hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)) != X1,
inference(backward_demodulation,[status(thm)],[f7930,f5191]) ).
fof(f112499,plain,
! [X0,X1,X2,X3,X4] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),X3),hAPP(c_Nat_OSuc,X4)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4),hAPP(X3,hAPP(c_Nat_OSuc,X4)))),
inference(forward_demodulation,[status(thm)],[f7930,f5552]) ).
fof(f113127,plain,
! [X0,X1,X2,X3,X4] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),X3),hAPP(c_Nat_OSuc,X4)) != hAPP(X3,hAPP(c_Nat_OSuc,X4)),
inference(paramodulation,[status(thm)],[f112499,f7957]) ).
fof(f113891,plain,
! [X0,X1,X2,X3,X4,X5,X6] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBS(X3,X4,X5),c_Groups_Oplus__class_Oplus(tc_Nat_Onat))),c_Nat_OSuc),X6) != hAPP(X6,hAPP(c_Nat_OSuc,X6)),
inference(paramodulation,[status(thm)],[f4767,f113127]) ).
fof(f113963,plain,
$false,
inference(resolution,[status(thm)],[f113891,f3499]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : SWW250+1 : TPTP v8.1.2. Released v5.2.0.
% 0.05/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 23:16:13 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.22/0.46 % Drodi V3.6.0
% 274.07/34.94 % Refutation found
% 274.07/34.94 % SZS status Theorem for theBenchmark: Theorem is valid
% 274.07/34.94 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 277.37/36.25 % Elapsed time: 35.671907 seconds
% 277.37/36.25 % CPU time: 266.894261 seconds
% 277.37/36.25 % Total memory used: 1.385 GB
% 277.37/36.25 % Net memory used: 1.355 GB
%------------------------------------------------------------------------------