TSTP Solution File: SWW308+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW308+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 20:50:00 EDT 2024
% Result : Theorem 15.29s 2.75s
% Output : CNFRefutation 15.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 16 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 20 ( 10 ~; 5 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 7 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-5 aty)
% Number of variables : 117 ( 117 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f206,axiom,
! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
( ( V_z_2 = V_x_2
=> hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 )
& ( V_z_2 != V_x_2
=> hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1385,axiom,
! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5210,axiom,
! [V_R_2,V_Q_2,V_Pa_2,T_d,T_b,T_c] : hAPP(hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_Pa_2),V_Q_2),V_R_2) = hAPP(V_Pa_2,hAPP(V_Q_2,V_R_2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5211,axiom,
! [V_R_2,V_Q_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_Pa_2),V_Q_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),V_Q_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5212,axiom,
! [V_R_2,V_Q_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBS(T_c,T_d,T_b),V_Pa_2),V_Q_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),hAPP(V_Q_2,V_R_2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5776,plain,
! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
( ( V_z_2 != V_x_2
| hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 )
& ( V_z_2 = V_x_2
| hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ),
inference(pre_NNF_transformation,[status(esa)],[f206]) ).
fof(f5777,plain,
( ! [V_x_2,V_z_2] :
( V_z_2 != V_x_2
| ! [V_y_2,V_f_2,T_c,T_b] : hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 )
& ! [V_x_2,V_z_2] :
( V_z_2 = V_x_2
| ! [V_y_2,V_f_2,T_c,T_b] : hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ),
inference(miniscoping,[status(esa)],[f5776]) ).
fof(f5778,plain,
! [X0,X1,X2,X3,X4,X5] :
( X0 != X1
| hAPP(c_Fun_Ofun__upd(X2,X3,X4,X1,X5),X0) = X5 ),
inference(cnf_transformation,[status(esa)],[f5777]) ).
fof(f9242,plain,
! [X0] : hAPP(c_Nat_OSuc,X0) != X0,
inference(cnf_transformation,[status(esa)],[f1385]) ).
fof(f19976,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBB(X0,X1,X2),X3),X4),X5) = hAPP(X3,hAPP(X4,X5)),
inference(cnf_transformation,[status(esa)],[f5210]) ).
fof(f19977,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBC(X0,X1,X2),X3),X4),X5) = hAPP(hAPP(X3,X5),X4),
inference(cnf_transformation,[status(esa)],[f5211]) ).
fof(f19978,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)],[f5212]) ).
fof(f20298,plain,
! [X0,X1,X2,X3,X4] : hAPP(c_Fun_Ofun__upd(X0,X1,X2,X3,X4),X3) = X4,
inference(destructive_equality_resolution,[status(esa)],[f5778]) ).
fof(f20440,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBC(X3,X4,X5),X6)),X7),X8) = hAPP(hAPP(X6,hAPP(X7,X8)),X8),
inference(paramodulation,[status(thm)],[f19977,f19978]) ).
fof(f20441,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBB(X3,X4,X5),X6)),X7),X8) = hAPP(X6,hAPP(X8,hAPP(X7,X8))),
inference(paramodulation,[status(thm)],[f19976,f19978]) ).
fof(f21883,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBB(X3,X4,X5),c_Nat_OSuc)),X6),X7) != hAPP(X7,hAPP(X6,X7)),
inference(paramodulation,[status(thm)],[f20441,f9242]) ).
fof(f22149,plain,
! [X0,X1,X2,X3,X4] : hAPP(hAPP(hAPP(c_COMBB(X0,X1,X2),c_Nat_OSuc),X3),hAPP(X4,X3)) != hAPP(X3,hAPP(X4,X3)),
inference(paramodulation,[status(thm)],[f19978,f21883]) ).
fof(f22789,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : hAPP(hAPP(hAPP(c_COMBB(X0,X1,X2),c_Nat_OSuc),X3),X4) != hAPP(X3,hAPP(c_Fun_Ofun__upd(X5,X6,X7,X3,X4),X3)),
inference(paramodulation,[status(thm)],[f20298,f22149]) ).
fof(f22790,plain,
! [X0,X1,X2,X3,X4] : hAPP(hAPP(hAPP(c_COMBB(X0,X1,X2),c_Nat_OSuc),X3),X4) != hAPP(X3,X4),
inference(forward_demodulation,[status(thm)],[f20298,f22789]) ).
fof(f23404,plain,
$false,
inference(resolution,[status(thm)],[f22790,f20440]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWW308+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Apr 29 23:10:35 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.62/0.79 % Drodi V3.6.0
% 15.29/2.75 % Refutation found
% 15.29/2.75 % SZS status Theorem for theBenchmark: Theorem is valid
% 15.29/2.75 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 16.73/2.92 % Elapsed time: 2.608481 seconds
% 16.73/2.92 % CPU time: 16.308152 seconds
% 16.73/2.92 % Total memory used: 760.098 MB
% 16.73/2.92 % Net memory used: 756.290 MB
%------------------------------------------------------------------------------