TSTP Solution File: LAT277-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT277-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:17:15 EDT 2023
% Result : Unsatisfiable 145.64s 18.85s
% Output : CNFRefutation 145.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 15 unt; 0 def)
% Number of atoms : 30 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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; 7 con; 0-4 aty)
% Number of variables : 17 (; 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2737,axiom,
! [V_A,V_r,T_a,V_a] :
( ~ c_Relation_Orefl(V_A,V_r,T_a)
| ~ c_in(V_a,V_A,T_a)
| c_in(c_Pair(V_a,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2738,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2739,axiom,
! [V_P,T_a] :
( ~ c_in(V_P,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit))
| c_Relation_Orefl(c_Tarski_Opotype_Opset(V_P,T_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(V_P,T_a,tc_Product__Type_Ounit),T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2743,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(f2744,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2745,negated_conjecture,
c_in(v_x,v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2746,negated_conjecture,
~ c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6100,plain,
! [V_r,T_a,V_a] :
( ! [V_A] :
( ~ c_Relation_Orefl(V_A,V_r,T_a)
| ~ c_in(V_a,V_A,T_a) )
| c_in(c_Pair(V_a,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)) ),
inference(miniscoping,[status(esa)],[f2737]) ).
fof(f6101,plain,
! [X0,X1,X2,X3] :
( ~ c_Relation_Orefl(X0,X1,X2)
| ~ c_in(X3,X0,X2)
| c_in(c_Pair(X3,X3,X2,X2),X1,tc_prod(X2,X2)) ),
inference(cnf_transformation,[status(esa)],[f6100]) ).
fof(f6102,plain,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
inference(cnf_transformation,[status(esa)],[f2738]) ).
fof(f6103,plain,
! [X0,X1] :
( ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
| c_Relation_Orefl(c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1) ),
inference(cnf_transformation,[status(esa)],[f2739]) ).
fof(f6107,plain,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(cnf_transformation,[status(esa)],[f2743]) ).
fof(f6108,plain,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
inference(cnf_transformation,[status(esa)],[f2744]) ).
fof(f6109,plain,
c_in(v_x,v_A,t_a),
inference(cnf_transformation,[status(esa)],[f2745]) ).
fof(f6110,plain,
~ c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(cnf_transformation,[status(esa)],[f2746]) ).
fof(f30268,plain,
c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a),
inference(resolution,[status(thm)],[f6103,f6107]) ).
fof(f30269,plain,
c_Relation_Orefl(v_A,c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a),
inference(forward_demodulation,[status(thm)],[f6102,f30268]) ).
fof(f30270,plain,
c_Relation_Orefl(v_A,v_r,t_a),
inference(forward_demodulation,[status(thm)],[f6108,f30269]) ).
fof(f30271,plain,
! [X0] :
( ~ c_in(X0,v_A,t_a)
| c_in(c_Pair(X0,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[f30270,f6101]) ).
fof(f30272,plain,
~ c_in(v_x,v_A,t_a),
inference(resolution,[status(thm)],[f30271,f6110]) ).
fof(f30273,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f30272,f6109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT277-1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 09:25:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.47 % Drodi V3.5.1
% 145.64/18.85 % Refutation found
% 145.64/18.85 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 145.64/18.85 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 147.74/19.97 % Elapsed time: 19.400851 seconds
% 147.74/19.97 % CPU time: 143.497915 seconds
% 147.74/19.97 % Memory used: 803.323 MB
%------------------------------------------------------------------------------