%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV685-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 02:49:21 PM UTC 2026
% Result : Unsatisfiable 83.80s 11.18s
% Output : CNFRefutation 83.80s
% 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 : 9 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f46,axiom,
! [V_n] : hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n) = V_n,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f317,axiom,
! [V_n] : V_n != hAPP(c_Suc,V_n),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f506,axiom,
! [T_b,T_a,T_c,V_P,V_Q,V_R] : hAPP(hAPP(hAPP(c_COMBB(T_b,T_a,T_c),V_P),V_Q),V_R) = hAPP(V_P,hAPP(V_Q,V_R)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f508,axiom,
! [T_b,T_c,T_a,V_P,V_Q,V_R] : hAPP(hAPP(hAPP(c_COMBS(T_b,T_c,T_a),V_P),V_Q),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f666,plain,
! [X0] : hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0) = X0,
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f1129,plain,
! [X0] : X0 != hAPP(c_Suc,X0),
inference(cnf_transformation,[status(thm)],[f317]) ).
fof(f1444,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)],[f506]) ).
fof(f1446,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)],[f508]) ).
fof(f2122,plain,
! [X0,X1,X2,X3,X4] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),X4) = hAPP(hAPP(X3,X4),X4),
inference(paramodulation,[status(thm)],[f666,f1446]) ).
fof(f2207,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBB(X3,X4,X5),X6)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),X7) = hAPP(X6,hAPP(X7,X7)),
inference(paramodulation,[status(thm)],[f1444,f2122]) ).
fof(f26252,plain,
$false,
inference(resolution,[status(thm)],[f2207,f1129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV685-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n017.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Mon Sep 21 09:14:26 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.50 % Drodi V4.1.1
% 83.80/11.18 % Refutation found
% 83.80/11.18 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 83.80/11.18 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.59/11.38 % Elapsed time: 10.944161 seconds
% 5.59/11.38 % CPU time: 84.886852 seconds
% 5.59/11.38 % Total memory used: 739.844 MB
% 5.59/11.38 % Net memory used: 723.486 MB
%------------------------------------------------------------------------------