%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SCT102+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 : n005.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 02:06:56 PM UTC 2026
% Result : Theorem 77.00s 10.24s
% Output : CNFRefutation 77.00s
% 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 : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 0 con; 1-5 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,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(f559,axiom,
! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f563,axiom,
! [V_R_2,V_Q_2,V_P_2,T_a,T_c,T_b] : hAPP(c_COMBS(T_b,T_c,T_a,V_P_2,V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),hAPP(V_Q_2,V_R_2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f585,plain,
! [X0,X1,X2] : X0 != hAPP(hAPP(c_List_Olist_OCons(X1),X2),X0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f1987,plain,
! [X0,X1] : hAPP(c_COMBI(X0),X1) = X1,
inference(cnf_transformation,[status(thm)],[f559]) ).
fof(f1991,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)],[f563]) ).
fof(f29243,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(c_COMBS(X0,X1,X2,c_COMBI(X3),X4),X5) = hAPP(X5,hAPP(X4,X5)),
inference(paramodulation,[status(thm)],[f1987,f1991]) ).
fof(f29986,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(X0,X1) != hAPP(c_COMBS(X2,X3,X4,c_List_Olist_OCons(X5),X0),X1),
inference(paramodulation,[status(thm)],[f1991,f585]) ).
fof(f31324,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(c_COMBS(X0,X1,X2,c_COMBI(X3),c_COMBI(X4)),X5) = hAPP(X5,X5),
inference(paramodulation,[status(thm)],[f1987,f29243]) ).
fof(f32598,plain,
$false,
inference(resolution,[status(thm)],[f31324,f29986]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT102+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 04:31:17 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.41 % Drodi V4.1.1
% 77.00/10.24 % Refutation found
% 77.00/10.24 % SZS status Theorem for theBenchmark: Theorem is valid
% 77.00/10.24 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 29.39/11.42 % Elapsed time: 10.836477 seconds
% 29.39/11.42 % CPU time: 73.404056 seconds
% 29.39/11.42 % Total memory used: 768.236 MB
% 29.39/11.42 % Net memory used: 722.132 MB
%------------------------------------------------------------------------------