%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT259-1 : 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 01:02:25 PM UTC 2026
% Result : Unsatisfiable 37.74s 20.41s
% Output : CNFRefutation 37.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 13 unt; 0 def)
% Number of atoms : 36 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 35 ( 20 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-4 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2737,axiom,
! [V_r,T_a,V_V,V_U] :
( V_U = V_V
| ~ c_in(c_Pair(V_U,V_V,T_a,T_a),V_r,tc_prod(T_a,T_a))
| ~ c_in(c_Pair(V_V,V_U,T_a,T_a),V_r,tc_prod(T_a,T_a))
| ~ c_Relation_Oantisym(V_r,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2743,axiom,
! [V_P,T_a] :
( c_Relation_Oantisym(c_Tarski_Opotype_Oorder(V_P,T_a,tc_Product__Type_Ounit),T_a)
| ~ c_in(V_P,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2746,axiom,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2747,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2748,negated_conjecture,
c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2749,negated_conjecture,
c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2750,negated_conjecture,
v_a != v_b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6104,plain,
! [V_V,V_U] :
( V_U = V_V
| ! [V_r,T_a] :
( ~ c_in(c_Pair(V_U,V_V,T_a,T_a),V_r,tc_prod(T_a,T_a))
| ~ c_in(c_Pair(V_V,V_U,T_a,T_a),V_r,tc_prod(T_a,T_a))
| ~ c_Relation_Oantisym(V_r,T_a) ) ),
inference(miniscoping,[status(thm)],[f2737]) ).
fof(f6105,plain,
! [X0,X1,X2,X3] :
( ~ c_in(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1))
| ~ c_in(c_Pair(X3,X2,X1,X1),X0,tc_prod(X1,X1))
| X2 = X3
| ~ c_Relation_Oantisym(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f6104]) ).
fof(f6111,plain,
! [X0,X1] :
( c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1)
| ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit)) ),
inference(cnf_transformation,[status(thm)],[f2743]) ).
fof(f6114,plain,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(cnf_transformation,[status(thm)],[f2746]) ).
fof(f6115,plain,
c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = v_r,
inference(cnf_transformation,[status(thm)],[f2747]) ).
fof(f6116,plain,
c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(cnf_transformation,[status(thm)],[f2748]) ).
fof(f6117,plain,
c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(cnf_transformation,[status(thm)],[f2749]) ).
fof(f6118,plain,
v_a != v_b,
inference(cnf_transformation,[status(thm)],[f2750]) ).
fof(f6420,plain,
( ~ c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a))
| v_b = v_a
| ~ c_Relation_Oantisym(v_r,t_a) ),
inference(resolution,[status(thm)],[f6105,f6116]) ).
fof(f6422,plain,
( ~ c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Relation_Oantisym(v_r,t_a) ),
inference(forward_subsumption_resolution,[status(thm)],[f6420,f6118]) ).
fof(f6424,plain,
~ c_Relation_Oantisym(v_r,t_a),
inference(forward_subsumption_resolution,[status(thm)],[f6422,f6117]) ).
fof(f9024,plain,
( c_Relation_Oantisym(v_r,t_a)
| ~ c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
inference(paramodulation,[status(thm)],[f6115,f6111]) ).
fof(f9025,plain,
~ c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(forward_subsumption_resolution,[status(thm)],[f9024,f6424]) ).
fof(f9077,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f6114,f9025]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT259-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/15.43 % Computer : n026.cluster.edu
% 0.14/15.43 % Model : x86_64 x86_64
% 0.14/15.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/15.43 % Memory : 8046.5625MB
% 0.14/15.43 % OS : Linux 6.8.0-71-generic
% 0.14/15.43 % CPULimit : 300
% 0.14/15.43 % WCLimit : 300
% 0.14/15.43 % DateTime : Sun Sep 20 23:26:23 UTC 2026
% 0.14/15.43 % CPUTime :
% 0.18/15.55 % Drodi V4.1.1
% 37.74/20.41 % Refutation found
% 37.74/20.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 37.74/20.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.55/21.43 % Elapsed time: 5.992771 seconds
% 5.55/21.43 % CPU time: 40.828915 seconds
% 5.55/21.43 % Total memory used: 604.353 MB
% 5.55/21.43 % Net memory used: 575.342 MB
%------------------------------------------------------------------------------