%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SCT167+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 02:07:02 PM UTC 2026
% Result : Theorem 0.21s 0.59s
% Output : CNFRefutation 0.21s
% 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 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-5 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f369,axiom,
! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f525,axiom,
! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f527,axiom,
! [V_R_2,V_Q_2,V_Pa_2,T_c,T_a,T_b] : hAPP(hAPP(c_COMBB(T_b,T_a,T_c,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(f529,axiom,
! [V_R_2,V_Q_2,V_Pa_2,T_a,T_c,T_b] : hAPP(c_COMBS(T_b,T_c,T_a,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(f1757,plain,
! [X0] : hAPP(c_Nat_OSuc,X0) != X0,
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f2182,plain,
! [X0,X1] : hAPP(c_COMBI(X0),X1) = X1,
inference(cnf_transformation,[status(thm)],[f525]) ).
fof(f2184,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(c_COMBB(X0,X1,X2,X3),X4),X5) = hAPP(X3,hAPP(X4,X5)),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f2186,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(c_COMBS(X0,X1,X2,X3,X4),X5) = hAPP(hAPP(X3,X5),hAPP(X4,X5)),
inference(cnf_transformation,[status(thm)],[f529]) ).
fof(f2595,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(c_COMBS(X0,X1,X2,X3,c_COMBI(X4)),X5) = hAPP(hAPP(X3,X5),X5),
inference(paramodulation,[status(thm)],[f2182,f2186]) ).
fof(f2650,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(c_COMBS(X0,X1,X2,c_COMBB(X3,X4,X5,X6),c_COMBI(X7)),X8) = hAPP(X6,hAPP(X8,X8)),
inference(paramodulation,[status(thm)],[f2184,f2595]) ).
fof(f3090,plain,
$false,
inference(resolution,[status(thm)],[f2650,f1757]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SCT167+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 04:38:21 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.45 % Drodi V4.1.1
% 0.21/0.59 % Refutation found
% 0.21/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.62 % Elapsed time: 0.232781 seconds
% 0.21/0.62 % CPU time: 1.130444 seconds
% 0.21/0.62 % Total memory used: 202.061 MB
% 0.21/0.62 % Net memory used: 200.787 MB
%------------------------------------------------------------------------------