%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV683-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 02:49:20 PM UTC 2026
% Result : Unsatisfiable 25.02s 3.74s
% Output : CNFRefutation 25.02s
% 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(f272,axiom,
! [V_n] : hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),V_n) = V_n,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f745,axiom,
! [V_n] : V_n != hAPP(c_Suc,V_n),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f873,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(f875,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(f1415,plain,
! [X0] : hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),X0) = X0,
inference(cnf_transformation,[status(thm)],[f272]) ).
fof(f2211,plain,
! [X0] : X0 != hAPP(c_Suc,X0),
inference(cnf_transformation,[status(thm)],[f745]) ).
fof(f2426,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)],[f873]) ).
fof(f2428,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)],[f875]) ).
fof(f2773,plain,
! [X0,X1,X2,X3,X4] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat))),X4) = hAPP(hAPP(X3,X4),X4),
inference(paramodulation,[status(thm)],[f1415,f2428]) ).
fof(f2891,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_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat))),X7) = hAPP(X6,hAPP(X7,X7)),
inference(paramodulation,[status(thm)],[f2426,f2773]) ).
fof(f8876,plain,
$false,
inference(resolution,[status(thm)],[f2891,f2211]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV683-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n004.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 09:19:04 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.45 % Drodi V4.1.1
% 25.02/3.74 % Refutation found
% 25.02/3.74 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 25.02/3.74 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 25.02/3.78 % Elapsed time: 3.401146 seconds
% 25.02/3.78 % CPU time: 25.908472 seconds
% 25.02/3.78 % Total memory used: 414.514 MB
% 25.02/3.78 % Net memory used: 402.456 MB
%------------------------------------------------------------------------------