%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL433-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 01:07:42 PM UTC 2026
% Result : Unsatisfiable 10.05s 1.82s
% Output : CNFRefutation 10.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 9 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 26 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [V_p,V_H,T_a] :
( c_in(V_p,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))
| ~ c_in(V_p,V_H,tc_PropLog_Opl(T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f186,axiom,
! [V_x,V_B,T_a] : c_in(V_x,c_insert(V_x,V_B,T_a),T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1370,axiom,
! [V_p,V_H,T_a,V_q] :
( c_PropLog_Osat(V_H,c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),T_a)
| ~ c_PropLog_Osat(c_insert(V_p,V_H,tc_PropLog_Opl(T_a)),V_q,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1371,axiom,
! [V_p,V_H,T_a,V_q] :
( c_in(V_q,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))
| ~ c_in(V_p,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1373,axiom,
! [V_p,V_G,T_a,V_a] :
( c_in(V_p,c_PropLog_Othms(c_insert(V_a,V_G,tc_PropLog_Opl(T_a)),T_a),tc_PropLog_Opl(T_a))
| ~ c_in(V_p,c_PropLog_Othms(V_G,T_a),tc_PropLog_Opl(T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1376,negated_conjecture,
c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1377,negated_conjecture,
~ c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1378,negated_conjecture,
! [V_U] :
( ~ c_PropLog_Osat(v_F,V_U,t_a)
| c_in(V_U,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1391,plain,
! [X0,X1,X2] :
( c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,X1,tc_PropLog_Opl(X2)) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f1634,plain,
! [X0,X1,X2] : c_in(X0,c_insert(X0,X1,X2),X2),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f2869,plain,
! [X0,X1,X2,X3] :
( c_PropLog_Osat(X1,c_PropLog_Opl_Oop_A_N_62(X0,X3,X2),X2)
| ~ c_PropLog_Osat(c_insert(X0,X1,tc_PropLog_Opl(X2)),X3,X2) ),
inference(cnf_transformation,[status(thm)],[f1370]) ).
fof(f2870,plain,
! [V_H,T_a,V_q] :
( c_in(V_q,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))
| ! [V_p] :
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))
| ~ c_in(V_p,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ) ),
inference(miniscoping,[status(thm)],[f1371]) ).
fof(f2871,plain,
! [X0,X1,X2,X3] :
( c_in(X3,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X3,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
inference(cnf_transformation,[status(thm)],[f2870]) ).
fof(f2874,plain,
! [V_p,V_G,T_a] :
( ! [V_a] : c_in(V_p,c_PropLog_Othms(c_insert(V_a,V_G,tc_PropLog_Opl(T_a)),T_a),tc_PropLog_Opl(T_a))
| ~ c_in(V_p,c_PropLog_Othms(V_G,T_a),tc_PropLog_Opl(T_a)) ),
inference(miniscoping,[status(thm)],[f1373]) ).
fof(f2875,plain,
! [X0,X1,X2,X3] :
( c_in(X0,c_PropLog_Othms(c_insert(X3,X1,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
inference(cnf_transformation,[status(thm)],[f2874]) ).
fof(f2878,plain,
c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a),
inference(cnf_transformation,[status(thm)],[f1376]) ).
fof(f2879,plain,
~ c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(cnf_transformation,[status(thm)],[f1377]) ).
fof(f2880,plain,
! [X0] :
( ~ c_PropLog_Osat(v_F,X0,t_a)
| c_in(X0,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a)) ),
inference(cnf_transformation,[status(thm)],[f1378]) ).
fof(f4798,plain,
! [X0] :
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,v_xa,t_a),c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(X0,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[status(thm)],[f2871,f2879]) ).
fof(f4809,plain,
! [X0] :
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,v_xa,t_a),c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a))
| ~ c_in(X0,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[status(thm)],[f4798,f2875]) ).
fof(f5032,plain,
! [X0,X1] :
( ~ c_PropLog_Osat(c_insert(X0,v_F,tc_PropLog_Opl(t_a)),X1,t_a)
| c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,t_a),c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[status(thm)],[f2880,f2869]) ).
fof(f5318,plain,
! [X0] :
( ~ c_PropLog_Osat(c_insert(X0,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a)
| ~ c_in(X0,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[status(thm)],[f4809,f5032]) ).
fof(f5984,plain,
~ c_in(v_x,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[status(thm)],[f5318,f2878]) ).
fof(f6008,plain,
~ c_in(v_x,c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),
inference(resolution,[status(thm)],[f5984,f1391]) ).
fof(f6009,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f6008,f1634]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL433-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n026.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 00:34:37 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.02/0.41 % Drodi V4.1.1
% 10.05/1.82 % Refutation found
% 10.05/1.82 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 10.05/1.82 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 10.61/1.88 % Elapsed time: 1.504316 seconds
% 10.61/1.88 % CPU time: 11.200532 seconds
% 10.61/1.88 % Total memory used: 318.088 MB
% 10.61/1.88 % Net memory used: 310.579 MB
%------------------------------------------------------------------------------