TSTP Solution File: SWW473+5 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SWW473+5 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% Computer : n019.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 : Thu Jul 21 00:13:06 EDT 2022
% Result : Theorem 1.69s 0.63s
% Output : CNFRefutation 1.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW473+5 : TPTP v8.1.0. Released v5.3.0.
% 0.11/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.34 % Computer : n019.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 : 600
% 0.13/0.34 % DateTime : Sun Jun 5 09:56:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.42 # No SInE strategy applied
% 0.19/0.42 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.42 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.19/0.42 #
% 0.19/0.42 # Presaturation interreduction done
% 0.19/0.42 # Number of axioms: 197 Number of unprocessed: 168
% 0.19/0.42 # Tableaux proof search.
% 0.19/0.42 # APR header successfully linked.
% 0.19/0.42 # Hello from C++
% 0.19/0.43 # The folding up rule is enabled...
% 0.19/0.43 # Local unification is enabled...
% 0.19/0.43 # Any saturation attempts will use folding labels...
% 0.19/0.43 # 168 beginning clauses after preprocessing and clausification
% 0.19/0.43 # Creating start rules for all 1 conjectures.
% 0.19/0.43 # There are 1 start rule candidates:
% 0.19/0.43 # Found 62 unit axioms.
% 0.19/0.43 # 1 start rule tableaux created.
% 0.19/0.43 # 106 extension rule candidate clauses
% 0.19/0.43 # 62 unit axiom clauses
% 0.19/0.43
% 0.19/0.43 # Requested 8, 32 cores available to the main process.
% 0.19/0.43 # There are not enough tableaux to fork, creating more from the initial 1
% 0.19/0.43 # Returning from population with 18 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.43 # We now have 18 tableaux to operate on
% 1.69/0.63 # There were 1 total branch saturation attempts.
% 1.69/0.63 # There were 0 of these attempts blocked.
% 1.69/0.63 # There were 0 deferred branch saturation attempts.
% 1.69/0.63 # There were 0 free duplicated saturations.
% 1.69/0.63 # There were 1 total successful branch saturations.
% 1.69/0.63 # There were 0 successful branch saturations in interreduction.
% 1.69/0.63 # There were 0 successful branch saturations on the branch.
% 1.69/0.63 # There were 1 successful branch saturations after the branch.
% 1.69/0.63 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.69/0.63 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.69/0.63 # Begin clausification derivation
% 1.69/0.63
% 1.69/0.63 # End clausification derivation
% 1.69/0.63 # Begin listing active clauses obtained from FOF to CNF conversion
% 1.69/0.63 cnf(i_0_173, plain, (preorder(bool))).
% 1.69/0.63 cnf(i_0_174, plain, (finite_finite_1(bool))).
% 1.69/0.63 cnf(i_0_175, plain, (order(bool))).
% 1.69/0.63 cnf(i_0_30, hypothesis, (hAPP(pname,pname,combi(pname),pn)=pn)).
% 1.69/0.63 cnf(i_0_194, hypothesis, (hBOOL(hAPP(fun(pname,bool),bool,finite_finite(pname),u)))).
% 1.69/0.63 cnf(i_0_171, plain, (preorder(nat))).
% 1.69/0.63 cnf(i_0_172, plain, (order(nat))).
% 1.69/0.63 cnf(i_0_28, hypothesis, (hAPP(fun(pname,x_a),fun(pname,x_a),combi(fun(pname,x_a)),mgt_call)=mgt_call)).
% 1.69/0.63 cnf(i_0_198, hypothesis, (hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),pn),u)))).
% 1.69/0.63 cnf(i_0_29, hypothesis, (hAPP(nat,nat,combi(nat),na)=na)).
% 1.69/0.63 cnf(i_0_8, plain, (hAPP(X1,X1,combi(X1),undefined(X1))=undefined(X1))).
% 1.69/0.63 cnf(i_0_15, plain, (hAPP(fun(bool,fun(bool,bool)),fun(bool,fun(bool,bool)),combi(fun(bool,fun(bool,bool))),fconj)=fconj)).
% 1.69/0.63 cnf(i_0_16, plain, (hAPP(fun(bool,fun(bool,bool)),fun(bool,fun(bool,bool)),combi(fun(bool,fun(bool,bool))),fdisj)=fdisj)).
% 1.69/0.63 cnf(i_0_18, plain, (hAPP(fun(bool,fun(bool,bool)),fun(bool,fun(bool,bool)),combi(fun(bool,fun(bool,bool))),fimplies)=fimplies)).
% 1.69/0.63 cnf(i_0_195, hypothesis, (hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),g),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))))).
% 1.69/0.63 cnf(i_0_9, hypothesis, (hAPP(fun(nat,nat),fun(nat,nat),combi(fun(nat,nat)),suc)=suc)).
% 1.69/0.63 cnf(i_0_21, plain, (hAPP(X1,X1,combi(X1),hAPP(X2,X1,X3,X4))=hAPP(X2,X1,X3,X4))).
% 1.69/0.63 cnf(i_0_20, plain, (hAPP(X1,X2,X3,hAPP(X1,X1,combi(X1),X4))=hAPP(X1,X2,X3,X4))).
% 1.69/0.63 cnf(i_0_26, plain, (hAPP(fun(fun(x_a,bool),fun(fun(x_a,bool),bool)),fun(fun(x_a,bool),fun(fun(x_a,bool),bool)),combi(fun(fun(x_a,bool),fun(fun(x_a,bool),bool))),p)=p)).
% 1.69/0.63 cnf(i_0_3, plain, (hAPP(fun(X1,X1),fun(X1,X1),combi(fun(X1,X1)),combi(X1))=combi(X1))).
% 1.69/0.63 cnf(i_0_58, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X1)))).
% 1.69/0.63 cnf(i_0_117, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X2)))).
% 1.69/0.63 cnf(i_0_7, hypothesis, (hAPP(fun(nat,fun(nat,nat)),fun(nat,fun(nat,nat)),combi(fun(nat,fun(nat,nat))),minus_minus(nat))=minus_minus(nat))).
% 1.69/0.63 cnf(i_0_132, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2))).
% 1.69/0.63 cnf(i_0_19, plain, (hAPP(X1,X2,hAPP(fun(X1,X2),fun(X1,X2),combi(fun(X1,X2)),X3),X4)=hAPP(X1,X2,X3,X4))).
% 1.69/0.63 cnf(i_0_5, plain, (hAPP(fun(fun(X1,bool),nat),fun(fun(X1,bool),nat),combi(fun(fun(X1,bool),nat)),finite_card(X1))=finite_card(X1))).
% 1.69/0.63 cnf(i_0_25, hypothesis, (hAPP(fun(x_a,bool),fun(x_a,bool),collect(x_a),g)=g)).
% 1.69/0.63 cnf(i_0_27, hypothesis, (hAPP(fun(pname,bool),fun(pname,bool),collect(pname),u)=u)).
% 1.69/0.63 cnf(i_0_14, plain, (hAPP(fun(bool,bool),fun(bool,bool),collect(bool),fNot)=fNot)).
% 1.69/0.63 cnf(i_0_6, plain, (hAPP(fun(fun(X1,bool),bool),fun(fun(X1,bool),bool),collect(fun(X1,bool)),finite_finite(X1))=finite_finite(X1))).
% 1.69/0.63 cnf(i_0_17, plain, (hAPP(fun(X1,fun(X1,bool)),fun(X1,fun(X1,bool)),combi(fun(X1,fun(X1,bool))),fequal(X1))=fequal(X1))).
% 1.69/0.63 cnf(i_0_11, plain, (hAPP(fun(fun(X1,bool),fun(X1,bool)),fun(fun(X1,bool),fun(X1,bool)),combi(fun(fun(X1,bool),fun(X1,bool))),collect(X1))=collect(X1))).
% 1.69/0.63 cnf(i_0_24, plain, (hAPP(fun(X1,fun(fun(X1,bool),bool)),fun(X1,fun(fun(X1,bool),bool)),combi(fun(X1,fun(fun(X1,bool),bool))),member(X1))=member(X1))).
% 1.69/0.63 cnf(i_0_13, plain, (hAPP(fun(X1,fun(fun(X1,bool),fun(X1,bool))),fun(X1,fun(fun(X1,bool),fun(X1,bool))),combi(fun(X1,fun(fun(X1,bool),fun(X1,bool)))),insert(X1))=insert(X1))).
% 1.69/0.63 cnf(i_0_88, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),X1)))).
% 1.69/0.63 cnf(i_0_140, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,X1),fun(fun(X1,bool),fun(X1,bool)),image(X1,X1),combi(X1)),X2)=hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2))).
% 1.69/0.63 cnf(i_0_196, hypothesis, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,na)),hAPP(fun(x_a,bool),nat,finite_card(x_a),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u)))))).
% 1.69/0.63 cnf(i_0_12, plain, (hAPP(fun(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool))),fun(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool))),combi(fun(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)))),image(X1,X2))=image(X1,X2))).
% 1.69/0.63 cnf(i_0_79, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,X1)),hAPP(nat,nat,suc,X2))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2))).
% 1.69/0.63 cnf(i_0_180, plain, (hAPP(X1,X2,hAPP(X3,fun(X1,X2),hAPP(fun(X1,fun(X3,X2)),fun(X3,fun(X1,X2)),combc(X1,X3,X2),X4),X5),X6)=hAPP(X3,X2,hAPP(X1,fun(X3,X2),X4,X6),X5))).
% 1.69/0.63 cnf(i_0_179, plain, (hAPP(X1,X2,hAPP(fun(X1,X3),fun(X1,X2),hAPP(fun(X3,X2),fun(fun(X1,X3),fun(X1,X2)),combb(X3,X2,X1),X4),X5),X6)=hAPP(X3,X2,X4,hAPP(X1,X3,X5,X6)))).
% 1.69/0.63 cnf(i_0_1, plain, (hAPP(fun(fun(X1,X2),fun(fun(X3,X1),fun(X3,X2))),fun(fun(X1,X2),fun(fun(X3,X1),fun(X3,X2))),combi(fun(fun(X1,X2),fun(fun(X3,X1),fun(X3,X2)))),combb(X1,X2,X3))=combb(X1,X2,X3))).
% 1.69/0.63 cnf(i_0_102, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3))))).
% 1.69/0.63 cnf(i_0_141, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X2))))).
% 1.69/0.63 cnf(i_0_2, plain, (hAPP(fun(fun(X1,fun(X2,X3)),fun(X2,fun(X1,X3))),fun(fun(X1,fun(X2,X3)),fun(X2,fun(X1,X3))),combi(fun(fun(X1,fun(X2,X3)),fun(X2,fun(X1,X3)))),combc(X1,X2,X3))=combc(X1,X2,X3))).
% 1.69/0.63 cnf(i_0_45, plain, (hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less_eq(nat)),X1)))))).
% 1.69/0.63 cnf(i_0_197, hypothesis, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(fun(x_a,bool),nat,finite_card(x_a),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),hAPP(nat,nat,suc,na))=hAPP(fun(x_a,bool),nat,finite_card(x_a),g))).
% 1.69/0.63 cnf(i_0_4, plain, (hAPP(fun(fun(X1,fun(X2,X3)),fun(fun(X1,X2),fun(X1,X3))),fun(fun(X1,fun(X2,X3)),fun(fun(X1,X2),fun(X1,X3))),combi(fun(fun(X1,fun(X2,X3)),fun(fun(X1,X2),fun(X1,X3)))),combs(X1,X2,X3))=combs(X1,X2,X3))).
% 1.69/0.63 cnf(i_0_46, plain, (hAPP(fun(nat,bool),nat,finite_card(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less_eq(nat)),X1)))=hAPP(nat,nat,suc,X1))).
% 1.69/0.63 cnf(i_0_105, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3))).
% 1.69/0.63 cnf(i_0_78, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,X1)),X2)),hAPP(nat,nat,suc,X3))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),X3))).
% 1.69/0.63 cnf(i_0_104, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fimplies),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(bool,bool),fun(fun(X1,bool),fun(X1,bool)),combb(bool,bool,X1),fNot),hAPP(X1,fun(X1,bool),hAPP(fun(X1,fun(X1,bool)),fun(X1,fun(X1,bool)),combc(X1,X1,bool),fequal(X1)),X2)))),X3))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X3)))).
% 1.69/0.63 cnf(i_0_103, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fdisj),hAPP(X1,fun(X1,bool),hAPP(fun(X1,fun(X1,bool)),fun(X1,fun(X1,bool)),combc(X1,X1,bool),fequal(X1)),X2))),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(fun(X1,bool),bool)),fun(fun(X1,bool),fun(X1,bool)),combc(X1,fun(X1,bool),bool),member(X1)),X3)))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3))).
% 1.69/0.63 cnf(i_0_182, plain, (hAPP(X1,X2,hAPP(fun(X1,X3),fun(X1,X2),hAPP(fun(X1,fun(X3,X2)),fun(fun(X1,X3),fun(X1,X2)),combs(X1,X3,X2),X4),X5),X6)=hAPP(X3,X2,hAPP(X1,fun(X3,X2),X4,X6),hAPP(X1,X3,X5,X6)))).
% 1.69/0.63 cnf(i_0_59, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),X3)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X3)),X2))).
% 1.69/0.63 cnf(i_0_106, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4)))).
% 1.69/0.63 cnf(i_0_149, plain, (hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X5))=hAPP(fun(X2,bool),fun(X2,bool),hAPP(X2,fun(fun(X2,bool),fun(X2,bool)),insert(X2),hAPP(X1,X2,X3,X4)),hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),X5)))).
% 1.69/0.63 cnf(i_0_139, plain, (hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),hAPP(fun(X4,bool),fun(X1,bool),hAPP(fun(X4,X1),fun(fun(X4,bool),fun(X1,bool)),image(X4,X1),X5),X6))=hAPP(fun(X4,bool),fun(X2,bool),hAPP(fun(X4,X2),fun(fun(X4,bool),fun(X2,bool)),image(X4,X2),hAPP(fun(X4,X1),fun(X4,X2),hAPP(fun(X1,X2),fun(fun(X4,X1),fun(X4,X2)),combb(X1,X2,X4),X3),X5)),X6))).
% 1.69/0.63 cnf(i_0_53, plain, (hAPP(nat,nat,suc,X1)!=X1)).
% 1.69/0.63 cnf(i_0_199, hypothesis, (~hBOOL(hAPP(fun(x_a,bool),bool,hAPP(x_a,fun(fun(x_a,bool),bool),member(x_a),hAPP(pname,x_a,mgt_call,pn)),g)))).
% 1.69/0.63 cnf(i_0_77, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X1)))).
% 1.69/0.63 cnf(i_0_200, negated_conjecture, (~hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))))).
% 1.69/0.63 cnf(i_0_177, plain, (~hBOOL(hAPP(bool,bool,fNot,X1))|~hBOOL(X1))).
% 1.69/0.63 cnf(i_0_168, plain, (preorder(fun(X1,X2))|~preorder(X2))).
% 1.69/0.63 cnf(i_0_170, plain, (order(fun(X1,X2))|~order(X2))).
% 1.69/0.63 cnf(i_0_169, plain, (finite_finite_1(fun(X1,X2))|~finite_finite_1(X1)|~finite_finite_1(X2))).
% 1.69/0.63 cnf(i_0_178, plain, (hBOOL(hAPP(bool,bool,fNot,X1))|hBOOL(X1))).
% 1.69/0.63 cnf(i_0_23, hypothesis, (hBOOL(X1)|~hBOOL(hAPP(bool,bool,combi(bool),X1)))).
% 1.69/0.63 cnf(i_0_49, plain, (X1=X2|hAPP(nat,nat,suc,X1)!=hAPP(nat,nat,suc,X2))).
% 1.69/0.63 cnf(i_0_185, plain, (hBOOL(X1)|~hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,X2),X1)))).
% 1.69/0.63 cnf(i_0_22, hypothesis, (hBOOL(hAPP(bool,bool,combi(bool),X1))|~hBOOL(X1))).
% 1.69/0.63 cnf(i_0_184, plain, (hBOOL(X1)|~hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,X1),X2)))).
% 1.69/0.63 cnf(i_0_193, plain, (hBOOL(X1)|~hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fimplies,X2),X1))|~hBOOL(X2))).
% 1.69/0.63 cnf(i_0_188, plain, (hBOOL(X1)|hBOOL(X2)|~hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,X1),X2)))).
% 1.69/0.63 cnf(i_0_47, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~finite_finite_1(X1))).
% 1.69/0.63 cnf(i_0_191, plain, (hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fimplies,X1),X2))|hBOOL(X1))).
% 1.69/0.63 cnf(i_0_187, plain, (hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,X1),X2))|~hBOOL(X2))).
% 1.69/0.63 cnf(i_0_131, plain, (hBOOL(hAPP(X1,bool,X2,X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2)))).
% 1.69/0.63 cnf(i_0_186, plain, (hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,X1),X2))|~hBOOL(X1))).
% 1.69/0.63 cnf(i_0_192, plain, (hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fimplies,X1),X2))|~hBOOL(X2))).
% 1.69/0.63 cnf(i_0_183, plain, (hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,X1),X2))|~hBOOL(X2)|~hBOOL(X1))).
% 1.69/0.63 cnf(i_0_164, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X2))|~preorder(X1))).
% 1.69/0.63 cnf(i_0_189, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),fequal(X1),X2),X3)))).
% 1.69/0.63 cnf(i_0_75, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1)))).
% 1.69/0.63 cnf(i_0_161, plain, (hAPP(nat,nat,suc,esk10_2(X1,X2))=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X2)))).
% 1.69/0.63 cnf(i_0_31, plain, (hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),p,X1),X2))|~hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),X2),X1)))).
% 1.69/0.63 cnf(i_0_165, plain, (hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),esk13_2(X1,X2)),X2)))).
% 1.69/0.63 cnf(i_0_54, plain, (X1=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 1.69/0.63 cnf(i_0_190, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),fequal(X1),X2),X3))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3))).
% 1.69/0.63 cnf(i_0_159, plain, (hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,X1,esk9_3(X3,X1,X2)))|~hBOOL(hAPP(nat,bool,X1,X2)))).
% 1.69/0.63 cnf(i_0_130, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(X1,bool,X3,X2)))).
% 1.69/0.63 cnf(i_0_67, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X2)))).
% 1.69/0.63 cnf(i_0_66, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3)))).
% 1.69/0.63 cnf(i_0_64, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X2))))).
% 1.69/0.63 cnf(i_0_10, plain, (hAPP(fun(X1,fun(X1,bool)),fun(X1,fun(X1,bool)),combi(fun(X1,fun(X1,bool))),ord_less_eq(X1))=ord_less_eq(X1)|~preorder(X1))).
% 1.69/0.63 cnf(i_0_157, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk8_3(X1,X3,X2)),X3)))).
% 1.69/0.63 cnf(i_0_166, plain, (hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),esk13_2(X1,X2)),X1))|hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),X1)))).
% 1.69/0.63 cnf(i_0_71, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),hAPP(nat,nat,suc,X2))))).
% 1.69/0.63 cnf(i_0_68, plain, (X1=hAPP(nat,nat,suc,X2)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,suc,X2))))).
% 1.69/0.63 cnf(i_0_69, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,suc,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 1.69/0.63 cnf(i_0_110, plain, (hBOOL(hAPP(X1,bool,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3),X4))|~hBOOL(hAPP(X1,bool,X3,X4)))).
% 1.69/0.63 cnf(i_0_167, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),esk12_1(X2)))|~hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),X1),X2))|~hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),X2)))).
% 1.69/0.63 cnf(i_0_57, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1)))).
% 1.69/0.63 cnf(i_0_76, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1)))).
% 1.69/0.63 cnf(i_0_112, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,X4,X3))|~hBOOL(hAPP(X1,bool,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4),X3)))).
% 1.69/0.63 cnf(i_0_84, plain, (X1=X2|hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X3)!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X1)))).
% 1.69/0.63 cnf(i_0_160, plain, (hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)))|hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,suc,esk9_3(X3,X1,X2))))|~hBOOL(hAPP(nat,bool,X1,X2)))).
% 1.69/0.63 cnf(i_0_70, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),hAPP(nat,nat,suc,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 1.69/0.63 cnf(i_0_34, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3)))).
% 1.69/0.63 cnf(i_0_122, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X3)!=hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2))).
% 1.69/0.63 cnf(i_0_55, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X3)))).
% 1.69/0.63 cnf(i_0_111, plain, (hBOOL(hAPP(X1,bool,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3),X4))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X4))).
% 1.69/0.63 cnf(i_0_158, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk8_3(X1,X3,X2)),X2)))).
% 1.69/0.63 cnf(i_0_129, plain, (hAPP(fun(X1,X2),fun(X1,X2),combi(fun(X1,X2)),X3)=hAPP(fun(X1,X2),fun(X1,X2),combi(fun(X1,X2)),X4)|hAPP(X1,X2,X3,esk4_4(X1,X2,X3,X4))!=hAPP(X1,X2,X4,esk4_4(X1,X2,X3,X4)))).
% 1.69/0.63 cnf(i_0_85, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2))=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1)))).
% 1.69/0.63 cnf(i_0_89, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),hAPP(fun(X3,bool),fun(X1,bool),hAPP(fun(X3,X1),fun(fun(X3,bool),fun(X1,bool)),image(X3,X1),X4),X5)))|~hBOOL(hAPP(fun(X3,bool),bool,finite_finite(X3),X5)))).
% 1.69/0.63 cnf(i_0_44, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,X1)),X2)=hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1)))).
% 1.69/0.63 cnf(i_0_143, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X2)),X3)))).
% 1.69/0.63 cnf(i_0_144, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4)),X3)))).
% 1.69/0.63 cnf(i_0_33, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),X3),X4)))|~hBOOL(hAPP(fun(X2,bool),bool,finite_finite(X2),X4)))).
% 1.69/0.63 cnf(i_0_126, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X4),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X4)))).
% 1.69/0.63 cnf(i_0_91, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),esk1_5(X1,X2,X3,X4,X5)))|~hBOOL(hAPP(fun(X2,bool),bool,hAPP(fun(X2,bool),fun(fun(X2,bool),bool),ord_less_eq(fun(X2,bool)),X5),hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),X4)))|~hBOOL(hAPP(fun(X2,bool),bool,finite_finite(X2),X5)))).
% 1.69/0.63 cnf(i_0_134, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X3,X1,X4,esk5_5(X1,X3,X2,X4,X5))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X3,bool),fun(X1,bool),hAPP(fun(X3,X1),fun(fun(X3,bool),fun(X1,bool)),image(X3,X1),X4),X5))))).
% 1.69/0.63 cnf(i_0_156, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X3,X1,X4,esk7_5(X1,X3,X2,X4,X5))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X3,bool),fun(X1,bool),hAPP(fun(X3,X1),fun(fun(X3,bool),fun(X1,bool)),image(X3,X1),X4),X5))))).
% 1.69/0.63 cnf(i_0_93, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(nat,X1,X2,X3)),hAPP(nat,X1,X2,X4)))|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(nat,X1,X2,esk2_4(X1,X3,X4,X2))),hAPP(nat,X1,X2,hAPP(nat,nat,suc,esk2_4(X1,X3,X4,X2)))))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X4)))).
% 1.69/0.63 cnf(i_0_116, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3)=hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X3)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 1.69/0.63 cnf(i_0_98, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X4),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X4)))).
% 1.69/0.63 cnf(i_0_101, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4))))).
% 1.69/0.63 cnf(i_0_81, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X1)))).
% 1.69/0.63 cnf(i_0_99, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4)))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3))).
% 1.69/0.63 cnf(i_0_147, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X4)))).
% 1.69/0.63 cnf(i_0_100, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X4)))).
% 1.69/0.63 cnf(i_0_36, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(fun(X1,bool),nat,finite_card(X1),X2)),hAPP(fun(X1,bool),nat,finite_card(X1),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3)))).
% 1.69/0.63 cnf(i_0_40, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3))=hAPP(fun(X1,bool),nat,finite_card(X1),X3)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3)))).
% 1.69/0.63 cnf(i_0_135, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk5_5(X2,X1,X3,X4,X5)),X5))|~hBOOL(hAPP(fun(X2,bool),bool,hAPP(X2,fun(fun(X2,bool),bool),member(X2),X3),hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X4),X5))))).
% 1.69/0.63 cnf(i_0_87, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X2)))).
% 1.69/0.63 cnf(i_0_146, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3))))).
% 1.69/0.63 cnf(i_0_97, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2)=hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X3)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 1.69/0.63 cnf(i_0_142, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3)),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X4)))).
% 1.69/0.63 cnf(i_0_41, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3))=hAPP(nat,nat,suc,hAPP(fun(X1,bool),nat,finite_card(X1),X3))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3)))).
% 1.69/0.63 cnf(i_0_86, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X3)))).
% 1.69/0.63 cnf(i_0_155, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk7_5(X2,X1,X3,X4,X5)),X5))|~hBOOL(hAPP(fun(X2,bool),bool,hAPP(X2,fun(fun(X2,bool),bool),member(X2),X3),hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X4),X5))))).
% 1.69/0.63 cnf(i_0_37, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2)=hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X3)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(fun(X1,bool),nat,finite_card(X1),X2)),hAPP(fun(X1,bool),nat,finite_card(X1),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X2))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 1.69/0.63 cnf(i_0_95, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk3_4(X2,X1,X3,X4)),X4))|hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4))|~hBOOL(hAPP(fun(X2,bool),bool,finite_finite(X2),hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),X4))))).
% 1.69/0.63 cnf(i_0_38, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(fun(X1,bool),nat,finite_card(X1),X2)),hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X2))))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 1.69/0.63 cnf(i_0_153, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),esk6_5(X2,X1,X3,X4,X5)),X5))|~hBOOL(hAPP(fun(X2,bool),bool,hAPP(fun(X2,bool),fun(fun(X2,bool),bool),ord_less_eq(fun(X2,bool)),X3),hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X4),X5))))).
% 1.69/0.63 cnf(i_0_61, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fdisj),X3)),X2)))))).
% 1.69/0.63 cnf(i_0_62, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fdisj),X2)),X3)))))).
% 1.69/0.63 cnf(i_0_136, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(X2,X1,X3,X4)),hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),X3),X5)))|~hBOOL(hAPP(fun(X2,bool),bool,hAPP(X2,fun(fun(X2,bool),bool),member(X2),X4),X5)))).
% 1.69/0.63 cnf(i_0_92, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),esk1_5(X1,X2,X3,X4,X5)),X4))|~hBOOL(hAPP(fun(X2,bool),bool,hAPP(fun(X2,bool),fun(fun(X2,bool),bool),ord_less_eq(fun(X2,bool)),X5),hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),X4)))|~hBOOL(hAPP(fun(X2,bool),bool,finite_finite(X2),X5)))).
% 1.69/0.63 cnf(i_0_133, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X3,bool),fun(X1,bool),hAPP(fun(X3,X1),fun(fun(X3,bool),fun(X1,bool)),image(X3,X1),X4),X5)))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X3,X1,X4,X6)|~hBOOL(hAPP(fun(X3,bool),bool,hAPP(X3,fun(fun(X3,bool),bool),member(X3),X6),X5)))).
% 1.69/0.63 cnf(i_0_35, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),X3),X4))),hAPP(fun(X2,bool),nat,finite_card(X2),X4)))|~hBOOL(hAPP(fun(X2,bool),bool,finite_finite(X2),X4)))).
% 1.69/0.63 cnf(i_0_32, plain, (hBOOL(hAPP(fun(fun(X1,bool),bool),bool,finite_finite(fun(X1,bool)),hAPP(fun(fun(X1,bool),bool),fun(fun(X1,bool),bool),collect(fun(X1,bool)),hAPP(fun(X1,bool),fun(fun(X1,bool),bool),hAPP(fun(fun(X1,bool),fun(fun(X1,bool),bool)),fun(fun(X1,bool),fun(fun(X1,bool),bool)),combc(fun(X1,bool),fun(X1,bool),bool),ord_less_eq(fun(X1,bool))),X2))))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 1.69/0.63 cnf(i_0_148, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X4)))).
% 1.69/0.63 cnf(i_0_162, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),X3),X4)),X5))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(X2,X1,X3,esk11_5(X1,X2,X3,X5,X4))),X5)))).
% 1.69/0.63 cnf(i_0_163, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),X3),X4)),X5))|hBOOL(hAPP(fun(X2,bool),bool,hAPP(X2,fun(fun(X2,bool),bool),member(X2),esk11_5(X1,X2,X3,X5,X4)),X4)))).
% 1.69/0.63 cnf(i_0_82, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X2))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X3)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1)))).
% 1.69/0.63 cnf(i_0_152, plain, (hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),esk6_5(X2,X1,X4,X3,X5))=hAPP(fun(X2,bool),fun(X2,bool),collect(X2),X4)|~hBOOL(hAPP(fun(X2,bool),bool,hAPP(fun(X2,bool),fun(fun(X2,bool),bool),ord_less_eq(fun(X2,bool)),X4),hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),X5))))).
% 1.69/0.63 cnf(i_0_90, plain, (hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),esk1_5(X1,X2,X3,X4,X5))=hAPP(fun(X2,bool),fun(X2,bool),collect(X2),X5)|~hBOOL(hAPP(fun(X2,bool),bool,hAPP(fun(X2,bool),fun(fun(X2,bool),bool),ord_less_eq(fun(X2,bool)),X5),hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),X4)))|~hBOOL(hAPP(fun(X2,bool),bool,finite_finite(X2),X5)))).
% 1.69/0.63 cnf(i_0_150, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),hAPP(X2,X1,X3,X4)),hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),X3),X5))=hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),X3),X5)|~hBOOL(hAPP(fun(X2,bool),bool,hAPP(X2,fun(fun(X2,bool),bool),member(X2),X4),X5)))).
% 1.69/0.63 cnf(i_0_154, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),X3),X4)),hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),X3),X5)))|~hBOOL(hAPP(fun(X2,bool),bool,hAPP(fun(X2,bool),fun(fun(X2,bool),bool),ord_less_eq(fun(X2,bool)),X4),X5)))).
% 1.69/0.63 cnf(i_0_42, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fconj),X2)),X3))))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X3))))).
% 1.69/0.63 cnf(i_0_43, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fconj),X2)),X3))))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2))))).
% 1.69/0.63 cnf(i_0_151, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),hAPP(fun(X3,bool),fun(X1,bool),hAPP(fun(X3,X1),fun(fun(X3,bool),fun(X1,bool)),image(X3,X1),X4),X5)))|hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2)!=hAPP(fun(X3,bool),fun(X1,bool),hAPP(fun(X3,X1),fun(fun(X3,bool),fun(X1,bool)),image(X3,X1),X4),X6)|~hBOOL(hAPP(fun(X3,bool),bool,hAPP(fun(X3,bool),fun(fun(X3,bool),bool),ord_less_eq(fun(X3,bool)),X6),X5)))).
% 1.69/0.63 cnf(i_0_113, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3)=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X4))|hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X3)!=hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X4))).
% 1.69/0.63 cnf(i_0_114, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2)=hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X3)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X2))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X3))|hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X2)!=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3))).
% 1.69/0.63 cnf(i_0_60, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fdisj),X2)),X3))))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2))))).
% 1.69/0.63 cnf(i_0_94, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fconj),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(fun(X1,bool),bool)),fun(fun(X1,bool),fun(X1,bool)),combc(X1,fun(X1,bool),bool),member(X1)),X2))),hAPP(X3,fun(X1,bool),hAPP(fun(X1,fun(X3,bool)),fun(X3,fun(X1,bool)),combc(X1,X3,bool),hAPP(fun(X1,X3),fun(X1,fun(X3,bool)),hAPP(fun(X3,fun(X3,bool)),fun(fun(X1,X3),fun(X1,fun(X3,bool))),combb(X3,fun(X3,bool),X1),fequal(X3)),X4)),hAPP(X1,X3,X4,esk3_4(X3,X1,X4,X2)))))))|~hBOOL(hAPP(fun(X3,bool),bool,finite_finite(X3),hAPP(fun(X1,bool),fun(X3,bool),hAPP(fun(X1,X3),fun(fun(X1,bool),fun(X3,bool)),image(X1,X3),X4),X2))))).
% 1.69/0.63 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 1.69/0.63 # Begin printing tableau
% 1.69/0.63 # Found 7 steps
% 1.69/0.63 cnf(i_0_200, negated_conjecture, (~hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u)))), inference(start_rule)).
% 1.69/0.63 cnf(i_0_203, plain, (~hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u)))), inference(extension_rule, [i_0_146])).
% 1.69/0.63 cnf(i_0_378, plain, (hBOOL(hAPP(fun(x_a,bool),bool,hAPP(x_a,fun(fun(x_a,bool),bool),member(x_a),hAPP(pname,x_a,mgt_call,pn)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)))), inference(extension_rule, [i_0_177])).
% 1.69/0.63 cnf(i_0_459, plain, (~hBOOL(hAPP(bool,bool,fNot,hAPP(fun(x_a,bool),bool,hAPP(x_a,fun(fun(x_a,bool),bool),member(x_a),hAPP(pname,x_a,mgt_call,pn)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g))))), inference(extension_rule, [i_0_178])).
% 1.69/0.63 cnf(i_0_379, plain, (~hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))))), inference(extension_rule, [i_0_148])).
% 1.69/0.63 cnf(i_0_12382, plain, (~hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),g),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u)))), inference(closure_rule, [i_0_195])).
% 1.69/0.63 cnf(i_0_468, plain, (hBOOL(hAPP(bool,bool,fNot,hAPP(bool,bool,fNot,hAPP(fun(x_a,bool),bool,hAPP(x_a,fun(fun(x_a,bool),bool),member(x_a),hAPP(pname,x_a,mgt_call,pn)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)))))), inference(etableau_closure_rule, [i_0_468, ...])).
% 1.69/0.63 # End printing tableau
% 1.69/0.63 # SZS output end
% 1.69/0.63 # Branches closed with saturation will be marked with an "s"
% 1.69/0.63 # Child (1943) has found a proof.
% 1.69/0.63
% 1.69/0.63 # Proof search is over...
% 1.69/0.63 # Freeing feature tree
%------------------------------------------------------------------------------