%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW296+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 : n008.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 03:07:35 PM UTC 2026
% Result : Theorem 52.05s 7.99s
% Output : CNFRefutation 52.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 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 : 5 ( 5 usr; 0 con; 1-3 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f196,axiom,
! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2795,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(f5202,axiom,
! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5206,axiom,
! [V_R_2,V_Q_2,V_P_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBS(T_c,T_d,T_b),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(f5775,plain,
! [X0,X1] : hAPP(c_Fun_Oid(X0),X1) = X1,
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f13616,plain,
! [X0,X1,X2] : X0 != hAPP(hAPP(c_List_Olist_OCons(X1),X2),X0),
inference(cnf_transformation,[status(thm)],[f2795]) ).
fof(f19976,plain,
! [X0,X1] : hAPP(c_COMBI(X0),X1) = X1,
inference(cnf_transformation,[status(thm)],[f5202]) ).
fof(f19980,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)],[f5206]) ).
fof(f23673,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),c_Fun_Oid(X4)),X5) = hAPP(hAPP(X3,X5),X5),
inference(paramodulation,[status(thm)],[f5775,f19980]) ).
fof(f24375,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_COMBI(X3)),c_Fun_Oid(X4)),X5) = hAPP(X5,X5),
inference(paramodulation,[status(thm)],[f19976,f23673]) ).
fof(f29910,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(X0,X1) != hAPP(hAPP(hAPP(c_COMBS(X2,X3,X4),c_List_Olist_OCons(X5)),X0),X1),
inference(paramodulation,[status(thm)],[f19980,f13616]) ).
fof(f36423,plain,
$false,
inference(resolution,[status(thm)],[f29910,f24375]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWW296+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n008.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 09:46:39 UTC 2026
% 0.17/0.43 % CPUTime :
% 1.16/1.46 % Drodi V4.1.1
% 52.05/7.99 % Refutation found
% 52.05/7.99 % SZS status Theorem for theBenchmark: Theorem is valid
% 52.05/7.99 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.88/8.30 % Elapsed time: 7.847212 seconds
% 2.88/8.30 % CPU time: 52.717255 seconds
% 2.88/8.30 % Total memory used: 1.147 GB
% 2.88/8.30 % Net memory used: 1.128 GB
%------------------------------------------------------------------------------