%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SCT136+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 : n016.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 02:06:59 PM UTC 2026
% Result : Theorem 42.50s 5.84s
% Output : CNFRefutation 42.50s
% 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 : 5 ( 5 usr; 0 con; 1-3 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f511,axiom,
! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f513,axiom,
! [V_R_2,V_Q_2,V_Pa_2,T_c,T_a,T_b] : hAPP(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(f515,axiom,
! [V_R_2,V_Q_2,V_Pa_2,T_a,T_c,T_b] : hAPP(hAPP(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(f602,plain,
! [X0,X1,X2] : hAPP(hAPP(c_List_Olist_OCons(X0),X1),X2) != X2,
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f2159,plain,
! [X0,X1] : X0 = hAPP(c_COMBI(X1),X0),
inference(cnf_transformation,[status(thm)],[f511]) ).
fof(f2161,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)],[f513]) ).
fof(f2163,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(X0,X1),hAPP(X2,X1)) = hAPP(hAPP(hAPP(c_COMBS(X3,X4,X5),X0),X2),X1),
inference(cnf_transformation,[status(thm)],[f515]) ).
fof(f2382,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(X0,hAPP(X1,hAPP(X2,X1))) = hAPP(hAPP(hAPP(c_COMBS(X3,X4,X5),hAPP(c_COMBB(X6,X7,X8),X0)),X2),X1),
inference(paramodulation,[status(thm)],[f2163,f2161]) ).
fof(f2722,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(X0,hAPP(X1,X1)) = hAPP(hAPP(hAPP(c_COMBS(X2,X3,X4),hAPP(c_COMBB(X5,X6,X7),X0)),c_COMBI(X8)),X1),
inference(paramodulation,[status(thm)],[f2159,f2382]) ).
fof(f4515,plain,
$false,
inference(resolution,[status(thm)],[f602,f2722]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT136+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n016.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 04:38:40 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.13/0.43 % Drodi V4.1.1
% 42.50/5.84 % Refutation found
% 42.50/5.84 % SZS status Theorem for theBenchmark: Theorem is valid
% 42.50/5.84 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.76/5.92 % Elapsed time: 5.547945 seconds
% 1.76/5.92 % CPU time: 43.058560 seconds
% 1.76/5.92 % Total memory used: 472.942 MB
% 1.76/5.92 % Net memory used: 451.962 MB
%------------------------------------------------------------------------------