TSTP Solution File: LAT266-2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LAT266-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.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 06:01:51 EDT 2022
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 22 ( 11 unt; 0 nHn; 20 RR)
% Number of literals : 39 ( 26 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(v_S,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a)) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_lessequals(v_S,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(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_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0,axiom,
c_Tarski_Opotype_Opset(c_Tarski_Odual(V_cl,T_a),T_a,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(V_cl,T_a,tc_Product__Type_Ounit) ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( v_A != c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)
| c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = v_A ),
inference(subst,[],[refute_0_2:[bind(X,$fot(v_A)),bind(Y,$fot(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)))]]) ).
cnf(refute_0_4,plain,
c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = v_A,
inference(resolve,[$cnf( $equal(v_A,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)) )],[cls_Tarski_OA_A_61_61_Apset_Acl_0,refute_0_3]) ).
cnf(refute_0_5,plain,
c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
inference(subst,[],[cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0:[bind(T_a,$fot(t_a)),bind(V_cl,$fot(v_cl))]]) ).
cnf(refute_0_6,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_7,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_6]) ).
cnf(refute_0_8,plain,
( c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit) != c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)
| c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) != v_A
| c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit) = v_A ),
inference(subst,[],[refute_0_7:[bind(X,$fot(c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit))),bind(Y,$fot(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit))),bind(Z,$fot(v_A))]]) ).
cnf(refute_0_9,plain,
( c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) != v_A
| c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit) = v_A ),
inference(resolve,[$cnf( $equal(c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit) = v_A,
inference(resolve,[$cnf( $equal(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),v_A) )],[refute_0_4,refute_0_9]) ).
cnf(refute_0_11,plain,
( c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit) != v_A
| ~ c_lessequals(v_S,v_A,tc_set(t_a))
| c_lessequals(v_S,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)) ),
introduced(tautology,[equality,[$cnf( ~ c_lessequals(v_S,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)) ),[1],$fot(v_A)]]) ).
cnf(refute_0_12,plain,
( ~ c_lessequals(v_S,v_A,tc_set(t_a))
| c_lessequals(v_S,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)) ),
inference(resolve,[$cnf( $equal(c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),v_A) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
~ c_lessequals(v_S,v_A,tc_set(t_a)),
inference(resolve,[$cnf( c_lessequals(v_S,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)) )],[refute_0_12,cls_conjecture_2]) ).
cnf(refute_0_14,plain,
( c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) != v_A
| ~ c_lessequals(v_S,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a))
| c_lessequals(v_S,v_A,tc_set(t_a)) ),
introduced(tautology,[equality,[$cnf( c_lessequals(v_S,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a)) ),[1],$fot(v_A)]]) ).
cnf(refute_0_15,plain,
( ~ c_lessequals(v_S,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a))
| c_lessequals(v_S,v_A,tc_set(t_a)) ),
inference(resolve,[$cnf( $equal(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),v_A) )],[refute_0_4,refute_0_14]) ).
cnf(refute_0_16,plain,
c_lessequals(v_S,v_A,tc_set(t_a)),
inference(resolve,[$cnf( c_lessequals(v_S,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a)) )],[cls_conjecture_0,refute_0_15]) ).
cnf(refute_0_17,plain,
$false,
inference(resolve,[$cnf( c_lessequals(v_S,v_A,tc_set(t_a)) )],[refute_0_16,refute_0_13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT266-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 30 05:47:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34
% 0.12/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35
%------------------------------------------------------------------------------