%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET842-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 02:10:46 PM UTC 2026
% Result : Unsatisfiable 49.06s 6.66s
% Output : CNFRefutation 49.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 4 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 46 ( 22 ~; 24 |; 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 : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f297,axiom,
! [V_A,V_C,T_a] :
( c_in(c_Main_OUnionE__1(V_A,V_C,T_a),V_C,tc_set(T_a))
| ~ c_in(V_A,c_Union(V_C,T_a),T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f298,axiom,
! [V_A,V_C,T_a] :
( c_in(V_A,c_Main_OUnionE__1(V_A,V_C,T_a),T_a)
| ~ c_in(V_A,c_Union(V_C,T_a),T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f306,axiom,
! [V_c,V_A,T_a,V_B] :
( c_in(V_c,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(V_c,V_A,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f307,axiom,
! [V_A,V_B,T_a] :
( c_lessequals(V_A,V_B,tc_set(T_a))
| c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f308,axiom,
! [V_A,V_B,T_a] :
( c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1362,negated_conjecture,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1363,negated_conjecture,
! [V_U] :
( ~ c_in(V_U,v_Y,tc_set(tc_set(t_a)))
| c_lessequals(V_U,v_m,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1764,plain,
! [X0,X1,X2] :
( c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2))
| ~ c_in(X0,c_Union(X1,X2),X2) ),
inference(cnf_transformation,[status(thm)],[f297]) ).
fof(f1765,plain,
! [X0,X1,X2] :
( c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2)
| ~ c_in(X0,c_Union(X1,X2),X2) ),
inference(cnf_transformation,[status(thm)],[f298]) ).
fof(f1776,plain,
! [V_c,T_a,V_B] :
( c_in(V_c,V_B,T_a)
| ! [V_A] :
( ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(V_c,V_A,T_a) ) ),
inference(miniscoping,[status(thm)],[f306]) ).
fof(f1777,plain,
! [X0,X1,X2,X3] :
( c_in(X0,X3,X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f1776]) ).
fof(f1778,plain,
! [X0,X1,X2] :
( c_lessequals(X0,X1,tc_set(X2))
| c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
inference(cnf_transformation,[status(thm)],[f307]) ).
fof(f1779,plain,
! [X0,X1,X2] :
( c_lessequals(X0,X1,tc_set(X2))
| ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f2844,plain,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(cnf_transformation,[status(thm)],[f1362]) ).
fof(f2845,plain,
! [X0] :
( ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(cnf_transformation,[status(thm)],[f1363]) ).
fof(f10762,plain,
! [X0] :
( c_lessequals(c_Main_OUnionE__1(X0,v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Union(v_Y,tc_set(t_a)),tc_set(t_a)) ),
inference(resolution,[status(thm)],[f1764,f2845]) ).
fof(f10927,plain,
! [X0,X1] :
( c_in(X1,v_m,tc_set(t_a))
| ~ c_in(X1,c_Main_OUnionE__1(X0,v_Y,tc_set(t_a)),tc_set(t_a))
| ~ c_in(X0,c_Union(v_Y,tc_set(t_a)),tc_set(t_a)) ),
inference(resolution,[status(thm)],[f10762,f1777]) ).
fof(f12903,plain,
! [X0] :
( ~ c_in(X0,c_Union(v_Y,tc_set(t_a)),tc_set(t_a))
| c_in(X0,v_m,tc_set(t_a))
| ~ c_in(X0,c_Union(v_Y,tc_set(t_a)),tc_set(t_a)) ),
inference(resolution,[status(thm)],[f10927,f1765]) ).
fof(f12904,plain,
! [X0] :
( c_in(X0,v_m,tc_set(t_a))
| ~ c_in(X0,c_Union(v_Y,tc_set(t_a)),tc_set(t_a)) ),
inference(duplicate_literals_removal,[status(thm)],[f12903]) ).
fof(f12911,plain,
! [X0] :
( c_lessequals(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a)))
| c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),X0,tc_set(t_a)),v_m,tc_set(t_a)) ),
inference(resolution,[status(thm)],[f12904,f1778]) ).
fof(f13264,plain,
( c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[f12911,f1779]) ).
fof(f13267,plain,
c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(duplicate_literals_removal,[status(thm)],[f13264]) ).
fof(f13268,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f13267,f2844]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET842-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 05:41:26 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.41 % Drodi V4.1.1
% 49.06/6.66 % Refutation found
% 49.06/6.66 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 49.06/6.66 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 29.14/7.93 % Elapsed time: 7.352265 seconds
% 29.14/7.93 % CPU time: 46.832011 seconds
% 29.14/7.93 % Total memory used: 513.114 MB
% 29.14/7.93 % Net memory used: 474.100 MB
%------------------------------------------------------------------------------