%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW316+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:07:38 PM UTC 2026
% Result : Theorem 32.72s 7.33s
% Output : CNFRefutation 32.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 13 unt; 0 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 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; 0-3 aty)
% Number of variables : 64 ( 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f87,axiom,
! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f205,axiom,
! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5206,axiom,
! [V_R_2,V_Q_2,V_P_2,T_d,T_b,T_c] : hAPP(hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_P_2),V_Q_2),V_R_2) = hAPP(V_P_2,hAPP(V_Q_2,V_R_2)),
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(f5497,plain,
! [X0,X1] : hAPP(c_Set_Oimage(X0,X0,c_COMBI(X0)),X1) = X1,
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f5850,plain,
! [X0] : X0 != hAPP(c_Nat_OSuc,X0),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f20012,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(thm)],[f5206]) ).
fof(f20014,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(thm)],[f5208]) ).
fof(f21143,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)],[f20012,f20014]) ).
fof(f21145,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),X4),X5) = hAPP(hAPP(hAPP(c_COMBS(X6,X7,X8),X3),X4),X5),
inference(paramodulation,[status(thm)],[f20014,f20014]) ).
fof(f30050,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : hAPP(X0,hAPP(X1,X0)) != hAPP(hAPP(hAPP(c_COMBS(X2,X3,X4),hAPP(c_COMBB(X5,X6,X7),c_Nat_OSuc)),X1),X0),
inference(paramodulation,[status(thm)],[f21143,f5850]) ).
fof(f31987,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : hAPP(X0,X0) != hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),hAPP(c_COMBB(X4,X5,X6),c_Nat_OSuc)),c_Set_Oimage(X7,X7,c_COMBI(X7))),X0),
inference(paramodulation,[status(thm)],[f5497,f30050]) ).
fof(f32865,plain,
$false,
inference(resolution,[status(thm)],[f31987,f21145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW316+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n006.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 09:46:57 UTC 2026
% 0.13/0.36 % CPUTime :
% 1.06/1.32 % Drodi V4.1.1
% 32.72/7.33 % Refutation found
% 32.72/7.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 32.72/7.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 32.72/7.38 % Elapsed time: 7.017911 seconds
% 32.72/7.38 % CPU time: 47.864402 seconds
% 32.72/7.38 % Total memory used: 1.087 GB
% 32.72/7.38 % Net memory used: 1.074 GB
%------------------------------------------------------------------------------