%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW329+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 : n019.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 03:07:39 PM UTC 2026
% Result : Theorem 27.65s 5.18s
% Output : CNFRefutation 27.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 11 unt; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,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(f46,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_Qa_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_Qa_2),V_R_2) = hAPP(V_Pa_2,hAPP(V_Qa_2,V_R_2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5208,axiom,
! [V_R_2,V_Qa_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_Qa_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),hAPP(V_Qa_2,V_R_2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5268,plain,
! [X0,X1] : hAPP(c_Set_Oimage(X0,X0,c_COMBI(X0)),X1) = X1,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f5369,plain,
! [X0] : X0 != hAPP(c_Nat_OSuc,X0),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f20008,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(f20010,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(f20937,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)],[f20008,f20010]) ).
fof(f21866,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)),c_Set_Oimage(X7,X7,c_COMBI(X7))),X8) = hAPP(X6,hAPP(X8,X8)),
inference(paramodulation,[status(thm)],[f5268,f20937]) ).
fof(f31990,plain,
$false,
inference(resolution,[status(thm)],[f5369,f21866]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW329+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n019.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 09:47:35 UTC 2026
% 0.16/0.43 % CPUTime :
% 1.25/1.51 % Drodi V4.1.1
% 27.65/5.18 % Refutation found
% 27.65/5.18 % SZS status Theorem for theBenchmark: Theorem is valid
% 27.65/5.18 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.99/5.25 % Elapsed time: 4.800315 seconds
% 4.99/5.25 % CPU time: 29.502365 seconds
% 4.99/5.25 % Total memory used: 877.681 MB
% 4.99/5.25 % Net memory used: 868.018 MB
%------------------------------------------------------------------------------