TSTP Solution File: LAT268-10 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LAT268-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n012.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 : Tue Jul 26 07:05:47 EDT 2022
% Result : Unsatisfiable 0.57s 0.75s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 22 ( 22 unt; 0 nHn; 15 RR)
% Number of literals : 22 ( 21 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 12 con; 0-4 aty)
% Number of variables : 19 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = ifeq(B,B,A,C),
file('/tmp/MaedMax_31190') ).
cnf(eq_1,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('/tmp/MaedMax_31190') ).
cnf(eq_2,axiom,
ifeq(c_lessequals(A,c_Tarski_Opotype_Opset(B,C,tc_Product__Type_Ounit),tc_set(C)),true,ifeq(c_in(B,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(C,tc_Product__Type_Ounit)),true,ifeq(c_in(B,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(C,tc_Product__Type_Ounit)),true,ifeq(c_in(V_S,A,C),true,c_in(c_Pair(V_S,c_Tarski_Olub(A,B,C),C,C),c_Tarski_Opotype_Oorder(B,C,tc_Product__Type_Ounit),tc_prod(C,C)),true),true),true),true) = true,
file('/tmp/MaedMax_31190') ).
cnf(eq_3,axiom,
ifeq(c_in(c_Pair(A,B,C,C),c_Tarski_Opotype_Oorder(c_Tarski_Odual(V_S,C),C,tc_Product__Type_Ounit),tc_prod(C,C)),true,c_in(c_Pair(B,A,C,C),c_Tarski_Opotype_Oorder(V_S,C,tc_Product__Type_Ounit),tc_prod(C,C)),true) = true,
file('/tmp/MaedMax_31190') ).
cnf(eq_4,axiom,
true = c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/tmp/MaedMax_31190') ).
cnf(eq_5,axiom,
true = c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/tmp/MaedMax_31190') ).
cnf(eq_6,axiom,
c_Tarski_Oglb(A,B,C) = c_Tarski_Olub(A,c_Tarski_Odual(B,C),C),
file('/tmp/MaedMax_31190') ).
cnf(eq_7,axiom,
c_Tarski_Opotype_Opset(A,B,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(c_Tarski_Odual(A,B),B,tc_Product__Type_Ounit),
file('/tmp/MaedMax_31190') ).
cnf(eq_8,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('/tmp/MaedMax_31190') ).
cnf(eq_9,axiom,
c_lessequals(v_S,v_A,tc_set(t_a)) = true,
file('/tmp/MaedMax_31190') ).
cnf(eq_10,axiom,
true = c_in(v_x,v_S,t_a),
file('/tmp/MaedMax_31190') ).
cnf(eq_11,negated_conjecture,
true != c_in(c_Pair(c_Tarski_Oglb(v_S,v_cl,t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/tmp/MaedMax_31190') ).
cnf(eq_12,plain,
ifeq(c_lessequals(v_S,c_Tarski_Opotype_Opset(x101,t_a,tc_Product__Type_Ounit),tc_set(t_a)),true,ifeq(c_in(x101,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),true,ifeq(c_in(x101,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),true,ifeq(true,true,c_in(c_Pair(v_x,c_Tarski_Olub(v_S,x101,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(x101,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),true),true),true),true) = true,
inference(cp,[status(thm)],[eq_10,eq_2]) ).
cnf(eq_13,plain,
ifeq(c_lessequals(v_S,c_Tarski_Opotype_Opset(A,t_a,tc_Product__Type_Ounit),tc_set(t_a)),true,ifeq(c_in(A,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),true,ifeq(c_in(A,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),true,c_in(c_Pair(v_x,c_Tarski_Olub(v_S,A,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(A,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),true),true),true) = true,
inference(rw,[status(thm)],[eq_12,eq_0]) ).
cnf(eq_14,plain,
ifeq(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)),true,ifeq(c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),true,ifeq(true,true,c_in(c_Pair(v_x,c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),true),true),true) = true,
inference(cp,[status(thm)],[eq_5,eq_13]) ).
cnf(eq_15,plain,
ifeq(c_in(c_Pair(x100,x101,t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),true,c_in(c_Pair(x101,x100,t_a,t_a),v_r,tc_prod(t_a,t_a)),true) = true,
inference(cp,[status(thm)],[eq_8,eq_3]) ).
cnf(eq_16,plain,
ifeq(c_in(c_Pair(A,B,t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),true,c_in(c_Pair(B,A,t_a,t_a),v_r,tc_prod(t_a,t_a)),true) = true,
eq_15 ).
cnf(eq_17,plain,
true = c_in(c_Pair(v_x,c_Tarski_Oglb(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_14,eq_7]),eq_4]),eq_6]),eq_1]),eq_0]),eq_9]),eq_0]),eq_0]) ).
cnf(eq_18,plain,
ifeq(true,true,c_in(c_Pair(c_Tarski_Oglb(v_S,v_cl,t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),true) = true,
inference(cp,[status(thm)],[eq_17,eq_16]) ).
cnf(eq_19,plain,
true = c_in(c_Pair(c_Tarski_Oglb(v_S,v_cl,t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(rw,[status(thm)],[eq_18,eq_0]) ).
cnf(eq_20,negated_conjecture,
c_in(c_Pair(c_Tarski_Oglb(v_S,v_cl,t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)) != c_in(c_Pair(c_Tarski_Oglb(v_S,v_cl,t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(cp,[status(thm)],[eq_19,eq_11]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT268-10 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n012.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
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 26 05:07:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.57/0.75 % SZS status Unsatisfiable
% 0.57/0.75 % SZS output start CNFRefutation for /tmp/MaedMax_31190
% See solution above
% 0.57/0.75
%------------------------------------------------------------------------------