%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV925-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 02:49:48 PM UTC 2026
% Result : Unsatisfiable 0.26s 0.67s
% Output : CNFRefutation 0.26s
% 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 : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,axiom,
! [V_nat_H] : c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f569,axiom,
! [V_xa,T_a,V_x] : c_Suc(c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a))) = c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_xa,T_a),tc_List_Olist(T_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f575,axiom,
! [T_a] : c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)) = c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f595,negated_conjecture,
c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f663,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f1395,plain,
! [X0,X1,X2] : c_Suc(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1))) = c_Nat_Osize__class_Osize(c_List_Olist_OCons(X2,X0,X1),tc_List_Olist(X1)),
inference(cnf_transformation,[status(thm)],[f569]) ).
fof(f1401,plain,
! [X0] : c_Nat_Osize__class_Osize(c_List_Olist_ONil(X0),tc_List_Olist(X0)) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(cnf_transformation,[status(thm)],[f575]) ).
fof(f1427,plain,
c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
inference(cnf_transformation,[status(thm)],[f595]) ).
fof(f1475,plain,
c_Suc(c_Nat_Osize__class_Osize(v_ak,tc_List_Olist(tc_Value_Oval))) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
inference(forward_demodulation,[status(thm)],[f1395,f1427]) ).
fof(f1476,plain,
c_Suc(c_Nat_Osize__class_Osize(v_ak,tc_List_Olist(tc_Value_Oval))) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(forward_demodulation,[status(thm)],[f1401,f1475]) ).
fof(f1477,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1476,f663]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV925-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n026.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 09:34:37 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.49 % Drodi V4.1.1
% 0.26/0.67 % Refutation found
% 0.26/0.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.26/0.67 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.26/0.69 % Elapsed time: 0.234674 seconds
% 0.26/0.69 % CPU time: 1.356910 seconds
% 0.26/0.69 % Total memory used: 153.598 MB
% 0.26/0.69 % Net memory used: 152.938 MB
%------------------------------------------------------------------------------