%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LAT277-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.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 : 600s
% DateTime : Sun Jul 17 06:01:59 EDT 2022
% Result : Unsatisfiable 0.11s 0.34s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 27 ( 12 unt; 0 nHn; 26 RR)
% Number of literals : 47 ( 16 equ; 21 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_x,v_A,t_a) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)) ).
cnf(cls_Relation_OreflD_0,axiom,
( ~ 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)) ) ).
cnf(cls_Tarski_OA_A_61_61_Apset_Acl_0,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) ).
cnf(cls_Tarski_OPartialOrder__iff_0,axiom,
( ~ 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) ) ).
cnf(cls_Tarski_Ocl_A_58_APartialOrder_0,axiom,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ).
cnf(cls_Tarski_Or_A_61_61_Aorder_Acl_0,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) ).
cnf(refute_0_0,plain,
( ~ c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| 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(subst,[],[cls_Tarski_OPartialOrder__iff_0:[bind(T_a,$fot(t_a)),bind(V_P,$fot(v_cl))]]) ).
cnf(refute_0_1,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(resolve,[$cnf( c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) )],[cls_Tarski_Ocl_A_58_APartialOrder_0,refute_0_0]) ).
cnf(refute_0_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( v_A != c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)
| c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = v_A ),
inference(subst,[],[refute_0_4:[bind(X,$fot(v_A)),bind(Y,$fot(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)))]]) ).
cnf(refute_0_6,plain,
c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = v_A,
inference(resolve,[$cnf( $equal(v_A,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)) )],[cls_Tarski_OA_A_61_61_Apset_Acl_0,refute_0_5]) ).
cnf(refute_0_7,plain,
( c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) != v_A
| ~ c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| c_Relation_Orefl(v_A,c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a) ),
introduced(tautology,[equality,[$cnf( 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) ),[0],$fot(v_A)]]) ).
cnf(refute_0_8,plain,
( ~ c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| c_Relation_Orefl(v_A,c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a) ),
inference(resolve,[$cnf( $equal(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),v_A) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
( v_r != c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)
| c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = v_r ),
inference(subst,[],[refute_0_4:[bind(X,$fot(v_r)),bind(Y,$fot(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)))]]) ).
cnf(refute_0_10,plain,
c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = v_r,
inference(resolve,[$cnf( $equal(v_r,c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)) )],[cls_Tarski_Or_A_61_61_Aorder_Acl_0,refute_0_9]) ).
cnf(refute_0_11,plain,
( c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) != v_r
| ~ c_Relation_Orefl(v_A,c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| c_Relation_Orefl(v_A,v_r,t_a) ),
introduced(tautology,[equality,[$cnf( c_Relation_Orefl(v_A,c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a) ),[1],$fot(v_r)]]) ).
cnf(refute_0_12,plain,
( ~ c_Relation_Orefl(v_A,c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| c_Relation_Orefl(v_A,v_r,t_a) ),
inference(resolve,[$cnf( $equal(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),v_r) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| c_Relation_Orefl(v_A,v_r,t_a) ),
inference(resolve,[$cnf( c_Relation_Orefl(v_A,c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a) )],[refute_0_8,refute_0_12]) ).
cnf(refute_0_14,plain,
c_Relation_Orefl(v_A,v_r,t_a),
inference(resolve,[$cnf( c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a) )],[refute_0_1,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ c_Relation_Orefl(v_A,X_5,t_a)
| ~ c_in(v_x,v_A,t_a)
| c_in(c_Pair(v_x,v_x,t_a,t_a),X_5,tc_prod(t_a,t_a)) ),
inference(subst,[],[cls_Relation_OreflD_0:[bind(T_a,$fot(t_a)),bind(V_A,$fot(v_A)),bind(V_a,$fot(v_x)),bind(V_r,$fot(X_5))]]) ).
cnf(refute_0_16,plain,
( ~ c_Relation_Orefl(v_A,X_5,t_a)
| c_in(c_Pair(v_x,v_x,t_a,t_a),X_5,tc_prod(t_a,t_a)) ),
inference(resolve,[$cnf( c_in(v_x,v_A,t_a) )],[cls_conjecture_0,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ c_Relation_Orefl(v_A,v_r,t_a)
| c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(subst,[],[refute_0_16:[bind(X_5,$fot(v_r))]]) ).
cnf(refute_0_18,plain,
c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(resolve,[$cnf( c_Relation_Orefl(v_A,v_r,t_a) )],[refute_0_14,refute_0_17]) ).
cnf(refute_0_19,plain,
$false,
inference(resolve,[$cnf( c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)) )],[refute_0_18,cls_conjecture_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT277-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.11/0.33 % Computer : n028.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Thu Jun 30 00:44:14 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.11/0.34 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.34
% 0.11/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.11/0.34
%------------------------------------------------------------------------------