%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SCT139+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 : n018.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 186.83s 26.37s
% Output : CNFRefutation 186.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 10 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 0 con; 1-3 aty)
% Number of variables : 40 ( 40 !; 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(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(f659,plain,
! [X0,X1,X2] : X0 != hAPP(hAPP(c_List_Olist_OCons(X1),X2),X0),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f2160,plain,
! [X0,X1] : hAPP(c_COMBI(X0),X1) = X1,
inference(cnf_transformation,[status(thm)],[f511]) ).
fof(f2164,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(f3574,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(X0,hAPP(X1,X0)) = hAPP(hAPP(hAPP(c_COMBS(X2,X3,X4),c_COMBI(X5)),X1),X0),
inference(paramodulation,[status(thm)],[f2160,f2164]) ).
fof(f3593,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_List_Olist_OCons(X3)),X4),X5) != hAPP(X4,X5),
inference(paramodulation,[status(thm)],[f2164,f659]) ).
fof(f3843,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_COMBI(X3)),c_COMBI(X4)),X5) = hAPP(X5,X5),
inference(paramodulation,[status(thm)],[f2160,f3574]) ).
fof(f3988,plain,
$false,
inference(resolution,[status(thm)],[f3843,f3593]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SCT139+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n018.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 04:35:43 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.28/0.56 % Drodi V4.1.1
% 186.83/26.37 % Refutation found
% 186.83/26.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 186.83/26.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 15.59/26.85 % Elapsed time: 26.385037 seconds
% 15.59/26.85 % CPU time: 187.803194 seconds
% 15.59/26.85 % Total memory used: 664.664 MB
% 15.59/26.85 % Net memory used: 599.223 MB
%------------------------------------------------------------------------------