%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SCT138+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 02:06:59 PM UTC 2026
% Result : Theorem 69.14s 9.19s
% Output : CNFRefutation 69.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 14 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 7 ( 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 : 81 ( 81 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36,axiom,
! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f511,axiom,
! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f660,plain,
! [X0,X1,X2] : X0 != hAPP(hAPP(c_List_Olist_OCons(X1),X2),X0),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f2172,plain,
! [X0,X1] : hAPP(c_COMBI(X0),X1) = X1,
inference(cnf_transformation,[status(thm)],[f511]) ).
fof(f2174,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(f2176,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)],[f515]) ).
fof(f2935,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] : hAPP(hAPP(X0,hAPP(X1,X2)),hAPP(X3,X2)) = hAPP(hAPP(hAPP(c_COMBS(X4,X5,X6),hAPP(hAPP(c_COMBB(X7,X8,X9),X0),X1)),X3),X2),
inference(paramodulation,[status(thm)],[f2174,f2176]) ).
fof(f2972,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)],[f2176,f2174]) ).
fof(f3666,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(hAPP(c_COMBB(X3,X4,X5),c_List_Olist_OCons(X6)),X7)),X8),X9) != hAPP(X8,X9),
inference(paramodulation,[status(thm)],[f2935,f660]) ).
fof(f3904,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(X0,hAPP(X1,X0)) = hAPP(hAPP(hAPP(c_COMBS(X2,X3,X4),hAPP(c_COMBB(X5,X6,X7),c_COMBI(X8))),X1),X0),
inference(paramodulation,[status(thm)],[f2172,f2972]) ).
fof(f4811,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(X0,X0) = hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),hAPP(c_COMBB(X4,X5,X6),c_COMBI(X7))),c_COMBI(X8)),X0),
inference(paramodulation,[status(thm)],[f2172,f3904]) ).
fof(f5373,plain,
$false,
inference(resolution,[status(thm)],[f4811,f3666]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT138+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 04:36:50 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.14/0.39 % Drodi V4.1.1
% 69.14/9.19 % Refutation found
% 69.14/9.19 % SZS status Theorem for theBenchmark: Theorem is valid
% 69.14/9.19 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 10.67/9.24 % Elapsed time: 8.877367 seconds
% 10.67/9.24 % CPU time: 69.736177 seconds
% 10.67/9.24 % Total memory used: 575.532 MB
% 10.67/9.24 % Net memory used: 539.907 MB
%------------------------------------------------------------------------------