%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SCT162+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 : n026.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 02:07:01 PM UTC 2026
% Result : Theorem 0.32s 0.72s
% Output : CNFRefutation 0.32s
% 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 : 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 : 64 ( 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f374,axiom,
! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f525,axiom,
! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f1735,plain,
! [X0] : hAPP(c_Nat_OSuc,X0) != X0,
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f2130,plain,
! [X0,X1] : hAPP(c_COMBI(X0),X1) = X1,
inference(cnf_transformation,[status(thm)],[f525]) ).
fof(f2132,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(f2134,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(f2301,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(c_COMBS(X0,X1,X2,c_COMBB(X3,X4,X5,X6),X7),X8) = hAPP(X6,hAPP(X8,hAPP(X7,X8))),
inference(paramodulation,[status(thm)],[f2132,f2134]) ).
fof(f2302,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(c_COMBS(X0,X1,X2,X3,X4),X5) = hAPP(c_COMBS(X6,X7,X8,X3,X4),X5),
inference(paramodulation,[status(thm)],[f2134,f2134]) ).
fof(f2515,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : hAPP(c_COMBS(X0,X1,X2,c_COMBB(X3,X4,X5,c_Nat_OSuc),X6),X7) != hAPP(X7,hAPP(X6,X7)),
inference(paramodulation,[status(thm)],[f2301,f1735]) ).
fof(f2723,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : hAPP(c_COMBS(X0,X1,X2,c_COMBB(X3,X4,X5,c_Nat_OSuc),c_COMBI(X6)),X7) != hAPP(X7,X7),
inference(paramodulation,[status(thm)],[f2130,f2515]) ).
fof(f3150,plain,
$false,
inference(resolution,[status(thm)],[f2723,f2302]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SCT162+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.49 % Computer : n026.cluster.edu
% 0.17/0.49 % Model : x86_64 x86_64
% 0.17/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.49 % Memory : 8046.5625MB
% 0.17/0.49 % OS : Linux 6.8.0-71-generic
% 0.17/0.49 % CPULimit : 300
% 0.17/0.49 % WCLimit : 300
% 0.17/0.49 % DateTime : Mon Sep 21 04:38:07 UTC 2026
% 0.17/0.49 % CPUTime :
% 0.23/0.59 % Drodi V4.1.1
% 0.32/0.72 % Refutation found
% 0.32/0.72 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.32/0.72 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.32/0.79 % Elapsed time: 0.284606 seconds
% 0.32/0.79 % CPU time: 0.972667 seconds
% 0.32/0.79 % Total memory used: 142.038 MB
% 0.32/0.79 % Net memory used: 141.424 MB
%------------------------------------------------------------------------------