%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT281-1 : 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 01:02:31 PM UTC 2026
% Result : Unsatisfiable 59.56s 13.11s
% Output : CNFRefutation 59.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 14 unt; 0 def)
% Number of atoms : 35 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 17 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-4 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2737,axiom,
! [V_r,T_a,V_V,V_W,V_U] :
( c_in(c_Pair(V_U,V_W,T_a,T_a),V_r,tc_prod(T_a,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_W,T_a,T_a),V_r,tc_prod(T_a,T_a))
| ~ c_Relation_Otrans(V_r,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2744,axiom,
! [V_P,T_a] :
( c_Relation_Otrans(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_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2750,negated_conjecture,
~ c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6104,plain,
! [V_r,T_a,V_W,V_U] :
( c_in(c_Pair(V_U,V_W,T_a,T_a),V_r,tc_prod(T_a,T_a))
| ! [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_W,T_a,T_a),V_r,tc_prod(T_a,T_a))
| ~ c_Relation_Otrans(V_r,T_a) ) ),
inference(miniscoping,[status(thm)],[f2737]) ).
fof(f6105,plain,
! [X0,X1,X2,X3,X4] :
( ~ c_in(c_Pair(X4,X1,X2,X2),X3,tc_prod(X2,X2))
| ~ c_in(c_Pair(X0,X4,X2,X2),X3,tc_prod(X2,X2))
| ~ c_Relation_Otrans(X3,X2)
| c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)) ),
inference(cnf_transformation,[status(thm)],[f6104]) ).
fof(f6112,plain,
! [X0,X1] :
( c_Relation_Otrans(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)],[f2744]) ).
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,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
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_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(cnf_transformation,[status(thm)],[f2749]) ).
fof(f6118,plain,
~ c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(cnf_transformation,[status(thm)],[f2750]) ).
fof(f6732,plain,
! [X0] :
( ~ c_Relation_Otrans(v_r,t_a)
| c_in(c_Pair(X0,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X0,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[f6105,f6117]) ).
fof(f6737,plain,
( ~ c_Relation_Otrans(v_r,t_a)
| c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[f6732,f6116]) ).
fof(f6738,plain,
~ c_Relation_Otrans(v_r,t_a),
inference(forward_subsumption_resolution,[status(thm)],[f6737,f6118]) ).
fof(f6903,plain,
c_Relation_Otrans(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a),
inference(resolution,[status(thm)],[f6114,f6112]) ).
fof(f6904,plain,
c_Relation_Otrans(v_r,t_a),
inference(forward_demodulation,[status(thm)],[f6115,f6903]) ).
fof(f6905,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f6904,f6738]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT281-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/5.37 % Computer : n026.cluster.edu
% 0.12/5.37 % Model : x86_64 x86_64
% 0.12/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.37 % Memory : 8046.5625MB
% 0.12/5.37 % OS : Linux 6.8.0-71-generic
% 0.12/5.37 % CPULimit : 300
% 0.12/5.38 % WCLimit : 300
% 0.12/5.38 % DateTime : Sun Sep 20 23:27:42 UTC 2026
% 0.12/5.38 % CPUTime :
% 0.15/5.49 % Drodi V4.1.1
% 59.56/13.11 % Refutation found
% 59.56/13.11 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 59.56/13.11 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.01/13.80 % Elapsed time: 8.406188 seconds
% 7.01/13.80 % CPU time: 62.072008 seconds
% 7.01/13.80 % Total memory used: 659.830 MB
% 7.01/13.80 % Net memory used: 629.650 MB
%------------------------------------------------------------------------------