TSTP Solution File: ALG030-10 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : ALG030-10 : TPTP v7.3.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n192.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.5MB
% OS : Linux 3.10.0-862.11.6.el7.x86_64
% CPULimit : 300s
% DateTime : Wed Feb 27 11:38:38 EST 2019
% Result : Unsatisfiable 1.21s
% Output : Refutation 1.21s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ALG030-10 : TPTP v7.3.0. Released v7.3.0.
% 0.00/0.04 % Command : tptp2X_and_run_cime %s
% 0.03/0.24 % Computer : n192.star.cs.uiowa.edu
% 0.03/0.24 % Model : x86_64 x86_64
% 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.24 % Memory : 32218.5MB
% 0.03/0.24 % OS : Linux 3.10.0-862.11.6.el7.x86_64
% 0.03/0.24 % CPULimit : 300
% 0.03/0.24 % DateTime : Mon Feb 18 07:45:44 CST 2019
% 0.03/0.24 % CPUTime :
% 1.16/1.72 Processing problem /tmp/CiME_45505_n192.star.cs.uiowa.edu
% 1.16/1.72 #verbose 1;
% 1.16/1.72 let F = signature " sK1_ax3_V,sK2_ax3_U,true : constant; j : 1; h : 1; op2 : 2; sorti2 : 1; op1 : 2; sorti1 : 1; ifeq : 4; ifeq2 : 4;";
% 1.16/1.72 let X = vars "A B C V U X W X2 Z Y X1";
% 1.16/1.72 let Axioms = equations F X "
% 1.16/1.72 ifeq2(A,A,B,C) = B;
% 1.16/1.72 ifeq(A,A,B,C) = B;
% 1.16/1.72 ifeq(sorti1(V),true,ifeq(sorti1(U),true,sorti1(op1(U,V)),true),true) = true;
% 1.16/1.72 ifeq(sorti2(V),true,ifeq(sorti2(U),true,sorti2(op2(U,V)),true),true) = true;
% 1.16/1.72 sorti1(sK1_ax3_V) = true;
% 1.16/1.72 sorti1(sK2_ax3_U) = true;
% 1.16/1.72 ifeq2(sorti2(V),true,ifeq2(sorti2(U),true,op2(U,V),op2(V,U)),op2(V,U)) = op2(V,U);
% 1.16/1.72 ifeq(sorti1(U),true,sorti2(h(U)),true) = true;
% 1.16/1.72 ifeq2(sorti1(X),true,ifeq2(sorti1(W),true,op2(h(W),h(X)),h(op1(W,X))),h(op1(W,X))) = h(op1(W,X));
% 1.16/1.72 ifeq2(sorti1(X2),true,j(h(X2)),X2) = X2;
% 1.16/1.72 ifeq(sorti2(V),true,sorti1(j(V)),true) = true;
% 1.16/1.72 ifeq2(sorti2(Z),true,ifeq2(sorti2(Y),true,op1(j(Y),j(Z)),j(op2(Y,Z))),j(op2(Y,Z))) = j(op2(Y,Z));
% 1.16/1.72 ifeq2(sorti2(X1),true,h(j(X1)),X1) = X1;
% 1.16/1.72 ";
% 1.16/1.72
% 1.16/1.72 let s1 = status F "
% 1.16/1.72 j lr_lex;
% 1.16/1.72 h lr_lex;
% 1.16/1.72 sK1_ax3_V lr_lex;
% 1.16/1.72 sK2_ax3_U lr_lex;
% 1.16/1.72 op2 lr_lex;
% 1.16/1.72 sorti2 lr_lex;
% 1.16/1.72 op1 lr_lex;
% 1.16/1.72 true lr_lex;
% 1.16/1.72 sorti1 lr_lex;
% 1.16/1.72 ifeq lr_lex;
% 1.16/1.72 ifeq2 lr_lex;
% 1.16/1.72 ";
% 1.16/1.72
% 1.16/1.72 let p1 = precedence F "
% 1.16/1.72 ifeq2 > ifeq > op1 > op2 > sorti1 > sorti2 > h > j > true > sK2_ax3_U > sK1_ax3_V";
% 1.16/1.72
% 1.16/1.72 let s2 = status F "
% 1.16/1.72 j mul;
% 1.16/1.72 h mul;
% 1.16/1.72 sK1_ax3_V mul;
% 1.16/1.72 sK2_ax3_U mul;
% 1.16/1.72 op2 mul;
% 1.16/1.72 sorti2 mul;
% 1.16/1.72 op1 mul;
% 1.16/1.72 true mul;
% 1.16/1.72 sorti1 mul;
% 1.16/1.72 ifeq mul;
% 1.16/1.72 ifeq2 mul;
% 1.16/1.72 ";
% 1.16/1.72
% 1.16/1.72 let p2 = precedence F "
% 1.16/1.72 ifeq2 > ifeq > op1 > op2 > sorti1 > sorti2 > h > j > true = sK2_ax3_U = sK1_ax3_V";
% 1.16/1.72
% 1.16/1.72 let o_auto = AUTO Axioms;
% 1.16/1.72
% 1.16/1.72 let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 1.16/1.72
% 1.16/1.72 let Conjectures = equations F X " op1(sK2_ax3_U,sK1_ax3_V) = op1(sK1_ax3_V,sK2_ax3_U);"
% 1.16/1.72 ;
% 1.16/1.72 (*
% 1.16/1.72 let Red_Axioms = normalize_equations Defining_rules Axioms;
% 1.16/1.72
% 1.16/1.72 let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% 1.16/1.72 *)
% 1.16/1.72 #time on;
% 1.16/1.72
% 1.16/1.72 let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 1.16/1.72
% 1.16/1.72 #time off;
% 1.16/1.72
% 1.16/1.72
% 1.16/1.72 let status = if res then "unsatisfiable" else "satisfiable";
% 1.16/1.72 #quit;
% 1.16/1.72 Verbose level is now 1
% 1.16/1.72
% 1.16/1.72 F : signature = <signature>
% 1.16/1.72 X : variable_set = <variable set>
% 1.16/1.72
% 1.16/1.72 Axioms : (F,X) equations = { ifeq2(A,A,B,C) = B,
% 1.16/1.72 ifeq(A,A,B,C) = B,
% 1.16/1.72 ifeq(sorti1(V),true,ifeq(sorti1(U),true,
% 1.16/1.72 sorti1(op1(U,V)),true),true)
% 1.16/1.72 = true,
% 1.16/1.72 ifeq(sorti2(V),true,ifeq(sorti2(U),true,
% 1.16/1.72 sorti2(op2(U,V)),true),true)
% 1.16/1.72 = true,
% 1.16/1.72 sorti1(sK1_ax3_V) = true,
% 1.16/1.72 sorti1(sK2_ax3_U) = true,
% 1.16/1.72 ifeq2(sorti2(V),true,ifeq2(sorti2(U),true,
% 1.16/1.72 op2(U,V),op2(V,U)),
% 1.16/1.72 op2(V,U)) = op2(V,U),
% 1.16/1.72 ifeq(sorti1(U),true,sorti2(h(U)),true) = true,
% 1.16/1.72 ifeq2(sorti1(X),true,ifeq2(sorti1(W),true,
% 1.16/1.72 op2(h(W),h(X)),h(op1(W,X))),
% 1.16/1.72 h(op1(W,X))) = h(op1(W,X)),
% 1.16/1.72 ifeq2(sorti1(X2),true,j(h(X2)),X2) = X2,
% 1.16/1.72 ifeq(sorti2(V),true,sorti1(j(V)),true) = true,
% 1.16/1.72 ifeq2(sorti2(Z),true,ifeq2(sorti2(Y),true,
% 1.16/1.72 op1(j(Y),j(Z)),j(op2(Y,Z))),
% 1.16/1.72 j(op2(Y,Z))) = j(op2(Y,Z)),
% 1.16/1.72 ifeq2(sorti2(X1),true,h(j(X1)),X1) = X1 }
% 1.16/1.72 (13 equation(s))
% 1.16/1.72 s1 : F status = <status>
% 1.16/1.72 p1 : F precedence = <precedence>
% 1.16/1.72 s2 : F status = <status>
% 1.16/1.72 p2 : F precedence = <precedence>
% 1.16/1.72 o_auto : F term_ordering = <term ordering>
% 1.16/1.72 o : F term_ordering = <term ordering>
% 1.16/1.72 Conjectures : (F,X) equations = { op1(sK2_ax3_U,sK1_ax3_V) =
% 1.16/1.72 op1(sK1_ax3_V,sK2_ax3_U) } (1 equation(s))
% 1.16/1.72 time is now on
% 1.16/1.72
% 1.16/1.72 Initializing completion ...
% 1.16/1.72 New rule produced : [1] sorti1(sK1_ax3_V) -> true
% 1.16/1.72 Current number of equations to process: 0
% 1.16/1.73 Current number of ordered equations: 12
% 1.16/1.73 Current number of rules: 1
% 1.16/1.73 New rule produced : [2] sorti1(sK2_ax3_U) -> true
% 1.16/1.73 Current number of equations to process: 0
% 1.16/1.73 Current number of ordered equations: 11
% 1.16/1.73 Current number of rules: 2
% 1.16/1.73 New rule produced : [3] ifeq(A,A,B,C) -> B
% 1.16/1.73 Current number of equations to process: 0
% 1.16/1.73 Current number of ordered equations: 10
% 1.16/1.73 Current number of rules: 3
% 1.16/1.73 New rule produced : [4] ifeq2(A,A,B,C) -> B
% 1.16/1.73 Current number of equations to process: 0
% 1.16/1.73 Current number of ordered equations: 9
% 1.16/1.73 Current number of rules: 4
% 1.16/1.73 New rule produced : [5] ifeq2(sorti2(X1),true,h(j(X1)),X1) -> X1
% 1.16/1.73 Current number of equations to process: 0
% 1.16/1.73 Current number of ordered equations: 8
% 1.16/1.73 Current number of rules: 5
% 1.16/1.73 New rule produced : [6] ifeq(sorti1(U),true,sorti2(h(U)),true) -> true
% 1.16/1.73 Current number of equations to process: 0
% 1.16/1.73 Current number of ordered equations: 7
% 1.16/1.73 Current number of rules: 6
% 1.16/1.73 New rule produced : [7] ifeq2(sorti1(X2),true,j(h(X2)),X2) -> X2
% 1.16/1.73 Current number of equations to process: 0
% 1.16/1.73 Current number of ordered equations: 6
% 1.16/1.73 Current number of rules: 7
% 1.16/1.73 New rule produced : [8] ifeq(sorti2(V),true,sorti1(j(V)),true) -> true
% 1.16/1.73 Current number of equations to process: 0
% 1.16/1.73 Current number of ordered equations: 5
% 1.16/1.73 Current number of rules: 8
% 1.16/1.73 New rule produced :
% 1.16/1.73 [9]
% 1.16/1.73 ifeq(sorti1(V),true,ifeq(sorti1(U),true,sorti1(op1(U,V)),true),true) -> true
% 1.16/1.73 Current number of equations to process: 0
% 1.16/1.73 Current number of ordered equations: 4
% 1.16/1.73 Current number of rules: 9
% 1.16/1.73 New rule produced :
% 1.16/1.73 [10]
% 1.16/1.73 ifeq(sorti2(V),true,ifeq(sorti2(U),true,sorti2(op2(U,V)),true),true) -> true
% 1.16/1.73 Current number of equations to process: 0
% 1.16/1.73 Current number of ordered equations: 3
% 1.16/1.73 Current number of rules: 10
% 1.16/1.73 New rule produced :
% 1.16/1.73 [11]
% 1.16/1.73 ifeq2(sorti2(V),true,ifeq2(sorti2(U),true,op2(U,V),op2(V,U)),op2(V,U)) ->
% 1.16/1.73 op2(V,U)
% 1.16/1.73 Current number of equations to process: 0
% 1.16/1.73 Current number of ordered equations: 2
% 1.16/1.73 Current number of rules: 11
% 1.16/1.73 New rule produced :
% 1.16/1.73 [12]
% 1.16/1.73 ifeq2(sorti2(Z),true,ifeq2(sorti2(Y),true,op1(j(Y),j(Z)),j(op2(Y,Z))),
% 1.16/1.73 j(op2(Y,Z))) -> j(op2(Y,Z))
% 1.16/1.73 Current number of equations to process: 0
% 1.16/1.73 Current number of ordered equations: 1
% 1.16/1.73 Current number of rules: 12
% 1.16/1.73 New rule produced :
% 1.16/1.73 [13]
% 1.16/1.73 ifeq2(sorti1(X),true,ifeq2(sorti1(W),true,op2(h(W),h(X)),h(op1(W,X))),
% 1.16/1.73 h(op1(W,X))) -> h(op1(W,X))
% 1.16/1.73 Current number of equations to process: 0
% 1.16/1.73 Current number of ordered equations: 0
% 1.16/1.73 Current number of rules: 13
% 1.16/1.73 New rule produced : [14] sorti2(h(sK1_ax3_V)) -> true
% 1.16/1.73 Current number of equations to process: 0
% 1.16/1.73 Current number of ordered equations: 0
% 1.16/1.73 Current number of rules: 14
% 1.16/1.73 New rule produced : [15] sorti2(h(sK2_ax3_U)) -> true
% 1.16/1.73 Current number of equations to process: 0
% 1.16/1.73 Current number of ordered equations: 0
% 1.16/1.73 Current number of rules: 15
% 1.16/1.73 New rule produced : [16] j(h(sK1_ax3_V)) -> sK1_ax3_V
% 1.16/1.73 Current number of equations to process: 0
% 1.16/1.73 Current number of ordered equations: 0
% 1.16/1.73 Current number of rules: 16
% 1.16/1.73 New rule produced : [17] j(h(sK2_ax3_U)) -> sK2_ax3_U
% 1.16/1.73 Current number of equations to process: 0
% 1.16/1.73 Current number of ordered equations: 0
% 1.16/1.73 Current number of rules: 17
% 1.16/1.73 New rule produced :
% 1.16/1.73 [18] ifeq(sorti1(A),true,sorti1(op1(A,sK1_ax3_V)),true) -> true
% 1.16/1.73 Current number of equations to process: 2
% 1.16/1.73 Current number of ordered equations: 1
% 1.16/1.73 Current number of rules: 18
% 1.16/1.73 New rule produced :
% 1.16/1.73 [19] ifeq(sorti1(A),true,sorti1(op1(sK1_ax3_V,A)),true) -> true
% 1.16/1.73 Current number of equations to process: 2
% 1.16/1.73 Current number of ordered equations: 0
% 1.16/1.73 Current number of rules: 19
% 1.16/1.73 New rule produced :
% 1.16/1.73 [20] ifeq(sorti1(A),true,sorti1(op1(A,sK2_ax3_U)),true) -> true
% 1.16/1.73 Current number of equations to process: 0
% 1.16/1.73 Current number of ordered equations: 1
% 1.16/1.73 Current number of rules: 20
% 1.16/1.73 New rule produced :
% 1.16/1.73 [21] ifeq(sorti1(A),true,sorti1(op1(sK2_ax3_U,A)),true) -> true
% 1.16/1.73 Current number of equations to process: 0
% 1.16/1.73 Current number of ordered equations: 0
% 1.16/1.73 Current number of rules: 21
% 1.16/1.73 New rule produced :
% 1.16/1.73 [22]
% 1.16/1.73 ifeq2(sorti1(A),true,op2(h(A),h(sK1_ax3_V)),h(op1(A,sK1_ax3_V))) ->
% 1.16/1.73 h(op1(A,sK1_ax3_V))
% 1.16/1.73 Current number of equations to process: 2
% 1.16/1.73 Current number of ordered equations: 1
% 1.16/1.73 Current number of rules: 22
% 1.16/1.73 New rule produced :
% 1.16/1.73 [23]
% 1.16/1.73 ifeq2(sorti1(A),true,op2(h(sK1_ax3_V),h(A)),h(op1(sK1_ax3_V,A))) ->
% 1.16/1.73 h(op1(sK1_ax3_V,A))
% 1.16/1.74 Current number of equations to process: 2
% 1.16/1.74 Current number of ordered equations: 0
% 1.16/1.74 Current number of rules: 23
% 1.16/1.74 New rule produced :
% 1.16/1.74 [24]
% 1.16/1.74 ifeq2(sorti1(A),true,op2(h(A),h(sK2_ax3_U)),h(op1(A,sK2_ax3_U))) ->
% 1.16/1.74 h(op1(A,sK2_ax3_U))
% 1.16/1.74 Current number of equations to process: 0
% 1.16/1.74 Current number of ordered equations: 1
% 1.16/1.74 Current number of rules: 24
% 1.16/1.74 New rule produced :
% 1.16/1.74 [25]
% 1.16/1.74 ifeq2(sorti1(A),true,op2(h(sK2_ax3_U),h(A)),h(op1(sK2_ax3_U,A))) ->
% 1.16/1.74 h(op1(sK2_ax3_U,A))
% 1.16/1.74 Current number of equations to process: 0
% 1.16/1.74 Current number of ordered equations: 0
% 1.16/1.74 Current number of rules: 25
% 1.16/1.74 New rule produced :
% 1.16/1.74 [26] ifeq(sorti2(A),true,sorti2(op2(A,h(sK1_ax3_V))),true) -> true
% 1.16/1.74 Current number of equations to process: 0
% 1.16/1.74 Current number of ordered equations: 1
% 1.16/1.74 Current number of rules: 26
% 1.16/1.74 New rule produced :
% 1.16/1.74 [27] ifeq(sorti2(A),true,sorti2(op2(h(sK1_ax3_V),A)),true) -> true
% 1.16/1.74 Current number of equations to process: 0
% 1.16/1.74 Current number of ordered equations: 0
% 1.16/1.74 Current number of rules: 27
% 1.16/1.74 New rule produced :
% 1.16/1.74 [28] ifeq(sorti2(A),true,sorti2(op2(A,h(sK2_ax3_U))),true) -> true
% 1.16/1.74 Current number of equations to process: 4
% 1.16/1.74 Current number of ordered equations: 1
% 1.16/1.74 Current number of rules: 28
% 1.16/1.74 New rule produced :
% 1.16/1.74 [29] ifeq(sorti2(A),true,sorti2(op2(h(sK2_ax3_U),A)),true) -> true
% 1.16/1.74 Current number of equations to process: 4
% 1.16/1.74 Current number of ordered equations: 0
% 1.16/1.74 Current number of rules: 29
% 1.16/1.74 New rule produced : [30] sorti1(op1(sK1_ax3_V,sK1_ax3_V)) -> true
% 1.16/1.74 Current number of equations to process: 8
% 1.16/1.74 Current number of ordered equations: 0
% 1.16/1.74 Current number of rules: 30
% 1.16/1.74 New rule produced : [31] sorti1(op1(sK2_ax3_U,sK1_ax3_V)) -> true
% 1.16/1.74 Current number of equations to process: 8
% 1.16/1.74 Current number of ordered equations: 0
% 1.16/1.74 Current number of rules: 31
% 1.16/1.74 New rule produced :
% 1.16/1.74 [32]
% 1.16/1.74 ifeq2(sorti2(A),true,op2(A,h(sK1_ax3_V)),op2(h(sK1_ax3_V),A)) ->
% 1.16/1.74 op2(h(sK1_ax3_V),A)
% 1.16/1.74 Current number of equations to process: 6
% 1.16/1.74 Current number of ordered equations: 1
% 1.16/1.74 Current number of rules: 32
% 1.16/1.74 New rule produced :
% 1.16/1.74 [33]
% 1.16/1.74 ifeq2(sorti2(A),true,op2(h(sK1_ax3_V),A),op2(A,h(sK1_ax3_V))) ->
% 1.16/1.74 op2(A,h(sK1_ax3_V))
% 1.16/1.74 Current number of equations to process: 6
% 1.16/1.74 Current number of ordered equations: 0
% 1.16/1.74 Current number of rules: 33
% 1.16/1.74 New rule produced :
% 1.16/1.74 [34]
% 1.16/1.74 ifeq2(sorti2(A),true,op2(A,h(sK2_ax3_U)),op2(h(sK2_ax3_U),A)) ->
% 1.16/1.74 op2(h(sK2_ax3_U),A)
% 1.16/1.74 Current number of equations to process: 4
% 1.16/1.74 Current number of ordered equations: 1
% 1.16/1.74 Current number of rules: 34
% 1.16/1.74 New rule produced :
% 1.16/1.74 [35]
% 1.16/1.74 ifeq2(sorti2(A),true,op2(h(sK2_ax3_U),A),op2(A,h(sK2_ax3_U))) ->
% 1.16/1.74 op2(A,h(sK2_ax3_U))
% 1.16/1.74 Current number of equations to process: 4
% 1.16/1.74 Current number of ordered equations: 0
% 1.16/1.74 Current number of rules: 35
% 1.16/1.74 New rule produced :
% 1.16/1.74 [36]
% 1.16/1.74 ifeq2(sorti2(A),true,op1(j(A),sK1_ax3_V),j(op2(A,h(sK1_ax3_V)))) ->
% 1.16/1.74 j(op2(A,h(sK1_ax3_V)))
% 1.16/1.74 Current number of equations to process: 2
% 1.16/1.74 Current number of ordered equations: 1
% 1.16/1.74 Current number of rules: 36
% 1.16/1.74 New rule produced :
% 1.16/1.74 [37]
% 1.16/1.74 ifeq2(sorti2(A),true,op1(sK1_ax3_V,j(A)),j(op2(h(sK1_ax3_V),A))) ->
% 1.16/1.74 j(op2(h(sK1_ax3_V),A))
% 1.16/1.74 Current number of equations to process: 2
% 1.16/1.74 Current number of ordered equations: 0
% 1.16/1.74 Current number of rules: 37
% 1.16/1.74 New rule produced :
% 1.16/1.74 [38]
% 1.16/1.74 ifeq2(sorti2(A),true,op1(j(A),sK2_ax3_U),j(op2(A,h(sK2_ax3_U)))) ->
% 1.16/1.74 j(op2(A,h(sK2_ax3_U)))
% 1.16/1.74 Current number of equations to process: 0
% 1.16/1.74 Current number of ordered equations: 1
% 1.16/1.74 Current number of rules: 38
% 1.16/1.74 New rule produced :
% 1.16/1.74 [39]
% 1.16/1.74 ifeq2(sorti2(A),true,op1(sK2_ax3_U,j(A)),j(op2(h(sK2_ax3_U),A))) ->
% 1.16/1.74 j(op2(h(sK2_ax3_U),A))
% 1.16/1.74 Current number of equations to process: 0
% 1.16/1.74 Current number of ordered equations: 0
% 1.16/1.74 Current number of rules: 39
% 1.16/1.74 New rule produced : [40] sorti1(op1(sK1_ax3_V,sK2_ax3_U)) -> true
% 1.16/1.74 Current number of equations to process: 0
% 1.16/1.74 Current number of ordered equations: 0
% 1.16/1.74 Current number of rules: 40
% 1.16/1.74 New rule produced : [41] sorti1(op1(sK2_ax3_U,sK2_ax3_U)) -> true
% 1.16/1.74 Current number of equations to process: 0
% 1.16/1.74 Current number of ordered equations: 0
% 1.16/1.74 Current number of rules: 41
% 1.16/1.74 New rule produced :
% 1.16/1.74 [42] h(op1(sK1_ax3_V,sK1_ax3_V)) -> op2(h(sK1_ax3_V),h(sK1_ax3_V))
% 1.16/1.74 Current number of equations to process: 0
% 1.16/1.74 Current number of ordered equations: 0
% 1.16/1.74 Current number of rules: 42
% 1.16/1.74 New rule produced :
% 1.16/1.74 [43] h(op1(sK2_ax3_U,sK1_ax3_V)) -> op2(h(sK2_ax3_U),h(sK1_ax3_V))
% 1.21/1.76 Current number of equations to process: 0
% 1.21/1.76 Current number of ordered equations: 0
% 1.21/1.76 Current number of rules: 43
% 1.21/1.76 New rule produced :
% 1.21/1.76 [44] h(op1(sK1_ax3_V,sK2_ax3_U)) -> op2(h(sK1_ax3_V),h(sK2_ax3_U))
% 1.21/1.76 Current number of equations to process: 0
% 1.21/1.76 Current number of ordered equations: 0
% 1.21/1.76 Current number of rules: 44
% 1.21/1.76 New rule produced :
% 1.21/1.76 [45] h(op1(sK2_ax3_U,sK2_ax3_U)) -> op2(h(sK2_ax3_U),h(sK2_ax3_U))
% 1.21/1.76 Current number of equations to process: 0
% 1.21/1.76 Current number of ordered equations: 0
% 1.21/1.76 Current number of rules: 45
% 1.21/1.76 New rule produced : [46] sorti2(op2(h(sK1_ax3_V),h(sK1_ax3_V))) -> true
% 1.21/1.76 Current number of equations to process: 0
% 1.21/1.76 Current number of ordered equations: 0
% 1.21/1.76 Current number of rules: 46
% 1.21/1.76 New rule produced : [47] sorti2(op2(h(sK2_ax3_U),h(sK1_ax3_V))) -> true
% 1.21/1.76 Current number of equations to process: 0
% 1.21/1.76 Current number of ordered equations: 0
% 1.21/1.76 Current number of rules: 47
% 1.21/1.76 New rule produced : [48] sorti2(op2(h(sK1_ax3_V),h(sK2_ax3_U))) -> true
% 1.21/1.76 Current number of equations to process: 0
% 1.21/1.76 Current number of ordered equations: 0
% 1.21/1.76 Current number of rules: 48
% 1.21/1.76 New rule produced : [49] sorti2(op2(h(sK2_ax3_U),h(sK2_ax3_U))) -> true
% 1.21/1.76 Current number of equations to process: 0
% 1.21/1.76 Current number of ordered equations: 0
% 1.21/1.76 Current number of rules: 49
% 1.21/1.76 New rule produced :
% 1.21/1.76 [50] op1(sK1_ax3_V,sK1_ax3_V) -> j(op2(h(sK1_ax3_V),h(sK1_ax3_V)))
% 1.21/1.76 Rule [30] sorti1(op1(sK1_ax3_V,sK1_ax3_V)) -> true collapsed.
% 1.21/1.76 Rule [42] h(op1(sK1_ax3_V,sK1_ax3_V)) -> op2(h(sK1_ax3_V),h(sK1_ax3_V))
% 1.21/1.76 collapsed.
% 1.21/1.76 Current number of equations to process: 2
% 1.21/1.76 Current number of ordered equations: 0
% 1.21/1.76 Current number of rules: 48
% 1.21/1.76 New rule produced : [51] sorti1(j(op2(h(sK1_ax3_V),h(sK1_ax3_V)))) -> true
% 1.21/1.76 Current number of equations to process: 2
% 1.21/1.76 Current number of ordered equations: 0
% 1.21/1.76 Current number of rules: 49
% 1.21/1.76 New rule produced :
% 1.21/1.76 [52] op1(sK2_ax3_U,sK1_ax3_V) -> j(op2(h(sK2_ax3_U),h(sK1_ax3_V)))
% 1.21/1.76 Rule [31] sorti1(op1(sK2_ax3_U,sK1_ax3_V)) -> true collapsed.
% 1.21/1.76 Rule [43] h(op1(sK2_ax3_U,sK1_ax3_V)) -> op2(h(sK2_ax3_U),h(sK1_ax3_V))
% 1.21/1.76 collapsed.
% 1.21/1.76 The conjecture has been reduced.
% 1.21/1.76 Conjecture is now:
% 1.21/1.76 j(op2(h(sK2_ax3_U),h(sK1_ax3_V))) = op1(sK1_ax3_V,sK2_ax3_U)
% 1.21/1.76
% 1.21/1.76 Current number of equations to process: 3
% 1.21/1.76 Current number of ordered equations: 0
% 1.21/1.76 Current number of rules: 48
% 1.21/1.76 New rule produced : [53] sorti1(j(op2(h(sK2_ax3_U),h(sK1_ax3_V)))) -> true
% 1.21/1.76 Current number of equations to process: 2
% 1.21/1.76 Current number of ordered equations: 0
% 1.21/1.76 Current number of rules: 49
% 1.21/1.76 New rule produced :
% 1.21/1.76 [54] h(j(op2(h(sK1_ax3_V),h(sK1_ax3_V)))) -> op2(h(sK1_ax3_V),h(sK1_ax3_V))
% 1.21/1.76 Current number of equations to process: 1
% 1.21/1.76 Current number of ordered equations: 0
% 1.21/1.76 Current number of rules: 50
% 1.21/1.76 New rule produced :
% 1.21/1.76 [55] h(j(op2(h(sK2_ax3_U),h(sK1_ax3_V)))) -> op2(h(sK2_ax3_U),h(sK1_ax3_V))
% 1.21/1.76 Current number of equations to process: 0
% 1.21/1.76 Current number of ordered equations: 0
% 1.21/1.76 Current number of rules: 51
% 1.21/1.76 Rule [52] op1(sK2_ax3_U,sK1_ax3_V) -> j(op2(h(sK2_ax3_U),h(sK1_ax3_V))) is composed into
% 1.21/1.76 [52] op1(sK2_ax3_U,sK1_ax3_V) -> j(op2(h(sK1_ax3_V),h(sK2_ax3_U)))
% 1.21/1.76 New rule produced :
% 1.21/1.76 [56] op2(h(sK2_ax3_U),h(sK1_ax3_V)) -> op2(h(sK1_ax3_V),h(sK2_ax3_U))
% 1.21/1.76 Rule [47] sorti2(op2(h(sK2_ax3_U),h(sK1_ax3_V))) -> true collapsed.
% 1.21/1.76 Rule [53] sorti1(j(op2(h(sK2_ax3_U),h(sK1_ax3_V)))) -> true collapsed.
% 1.21/1.76 Rule
% 1.21/1.76 [55] h(j(op2(h(sK2_ax3_U),h(sK1_ax3_V)))) -> op2(h(sK2_ax3_U),h(sK1_ax3_V))
% 1.21/1.76 collapsed.
% 1.21/1.76 The conjecture has been reduced.
% 1.21/1.76 Conjecture is now:
% 1.21/1.76 j(op2(h(sK1_ax3_V),h(sK2_ax3_U))) = op1(sK1_ax3_V,sK2_ax3_U)
% 1.21/1.76
% 1.21/1.76 Current number of equations to process: 2
% 1.21/1.76 Current number of ordered equations: 0
% 1.21/1.76 Current number of rules: 49
% 1.21/1.76 New rule produced : [57] sorti1(j(op2(h(sK1_ax3_V),h(sK2_ax3_U)))) -> true
% 1.21/1.76 Current number of equations to process: 1
% 1.21/1.76 Current number of ordered equations: 0
% 1.21/1.76 Current number of rules: 50
% 1.21/1.76 New rule produced :
% 1.21/1.76 [58] h(j(op2(h(sK1_ax3_V),h(sK2_ax3_U)))) -> op2(h(sK1_ax3_V),h(sK2_ax3_U))
% 1.21/1.76 Current number of equations to process: 0
% 1.21/1.76 Current number of ordered equations: 0
% 1.21/1.76 Current number of rules: 51
% 1.21/1.76 New rule produced :
% 1.21/1.76 [59] op1(sK1_ax3_V,sK2_ax3_U) -> j(op2(h(sK1_ax3_V),h(sK2_ax3_U)))
% 1.21/1.76 Rule [40] sorti1(op1(sK1_ax3_V,sK2_ax3_U)) -> true collapsed.
% 1.21/1.76 Rule [44] h(op1(sK1_ax3_V,sK2_ax3_U)) -> op2(h(sK1_ax3_V),h(sK2_ax3_U))
% 1.21/1.76 collapsed.
% 1.21/1.76 The conjecture has been reduced.
% 1.21/1.76 Conjecture is now:
% 1.21/1.76 Trivial
% 1.21/1.76
% 1.21/1.76 Current number of equations to process: 0
% 1.21/1.76 Current number of ordered equations: 0
% 1.21/1.76 Current number of rules: 50
% 1.21/1.76 The current conjecture is true and the solution is the identity
% 1.21/1.76 % SZS output start Refutation
% 1.21/1.76
% 1.21/1.76 The following 16 rules have been used:
% 1.21/1.76 [1]
% 1.21/1.76 sorti1(sK1_ax3_V) -> true; trace = in the starting set
% 1.21/1.76 [2] sorti1(sK2_ax3_U) -> true; trace = in the starting set
% 1.21/1.76 [6] ifeq(sorti1(U),true,sorti2(h(U)),true) -> true; trace = in the starting set
% 1.21/1.76 [7] ifeq2(sorti1(X2),true,j(h(X2)),X2) -> X2; trace = in the starting set
% 1.21/1.76 [9] ifeq(sorti1(V),true,ifeq(sorti1(U),true,sorti1(op1(U,V)),true),true) ->
% 1.21/1.76 true; trace = in the starting set
% 1.21/1.76 [11] ifeq2(sorti2(V),true,ifeq2(sorti2(U),true,op2(U,V),op2(V,U)),op2(V,U))
% 1.21/1.76 -> op2(V,U); trace = in the starting set
% 1.21/1.76 [12] ifeq2(sorti2(Z),true,ifeq2(sorti2(Y),true,op1(j(Y),j(Z)),j(op2(Y,Z))),
% 1.21/1.76 j(op2(Y,Z))) -> j(op2(Y,Z)); trace = in the starting set
% 1.21/1.76 [14] sorti2(h(sK1_ax3_V)) -> true; trace = Cp of 6 and 1
% 1.21/1.76 [15] sorti2(h(sK2_ax3_U)) -> true; trace = Cp of 6 and 2
% 1.21/1.76 [18] ifeq(sorti1(A),true,sorti1(op1(A,sK1_ax3_V)),true) -> true; trace = Cp of 9 and 1
% 1.21/1.76 [31] sorti1(op1(sK2_ax3_U,sK1_ax3_V)) -> true; trace = Cp of 18 and 2
% 1.21/1.76 [32] ifeq2(sorti2(A),true,op2(A,h(sK1_ax3_V)),op2(h(sK1_ax3_V),A)) ->
% 1.21/1.76 op2(h(sK1_ax3_V),A); trace = Cp of 14 and 11
% 1.21/1.76 [37] ifeq2(sorti2(A),true,op1(sK1_ax3_V,j(A)),j(op2(h(sK1_ax3_V),A))) ->
% 1.21/1.76 j(op2(h(sK1_ax3_V),A)); trace = Cp of 14 and 12
% 1.21/1.76 [52] op1(sK2_ax3_U,sK1_ax3_V) -> j(op2(h(sK2_ax3_U),h(sK1_ax3_V))); trace = Cp of 31 and 7
% 1.21/1.76 [56] op2(h(sK2_ax3_U),h(sK1_ax3_V)) -> op2(h(sK1_ax3_V),h(sK2_ax3_U)); trace = Cp of 32 and 15
% 1.21/1.76 [59] op1(sK1_ax3_V,sK2_ax3_U) -> j(op2(h(sK1_ax3_V),h(sK2_ax3_U))); trace = Cp of 37 and 15
% 1.21/1.76 % SZS output end Refutation
% 1.21/1.76 All conjectures have been proven
% 1.21/1.76
% 1.21/1.76 Execution time: 0.040000 sec
% 1.21/1.76 res : bool = true
% 1.21/1.76 time is now off
% 1.21/1.76
% 1.21/1.76 status : string = "unsatisfiable"
% 1.21/1.76 % SZS status Unsatisfiable
% 1.21/1.76 CiME interrupted
%------------------------------------------------------------------------------