0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s 0.12/0.34 % Computer : n015.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 1200 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Wed Jul 14 16:53:19 EDT 2021 0.12/0.34 % 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 1.13/0.61 # There were 1 total branch saturation attempts. 1.13/0.61 # There were 0 of these attempts blocked. 1.13/0.61 # There were 0 deferred branch saturation attempts. 1.13/0.61 # There were 0 free duplicated saturations. 1.13/0.61 # There were 1 total successful branch saturations. 1.13/0.61 # There were 0 successful branch saturations in interreduction. 1.13/0.61 # There were 0 successful branch saturations on the branch. 1.13/0.61 # There were 1 successful branch saturations after the branch. 1.13/0.61 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 1.13/0.61 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p 1.13/0.61 # Begin clausification derivation 1.13/0.61 1.13/0.61 # End clausification derivation 1.13/0.61 # Begin listing active clauses obtained from FOF to CNF conversion 1.13/0.61 cnf(i_0_106, plain, (preorder(bool))). 1.13/0.61 cnf(i_0_19, plain, (finite_finite_1(bool))). 1.13/0.61 cnf(i_0_150, plain, (order(bool))). 1.13/0.61 cnf(i_0_161, hypothesis, (hAPP(pname,pname,combi(pname),pn)=pn)). 1.13/0.61 cnf(i_0_12, hypothesis, (hBOOL(hAPP(fun(pname,bool),bool,finite_finite(pname),u)))). 1.13/0.61 cnf(i_0_15, plain, (preorder(nat))). 1.13/0.61 cnf(i_0_172, plain, (order(nat))). 1.13/0.61 cnf(i_0_9, hypothesis, (hAPP(fun(pname,x_a),fun(pname,x_a),combi(fun(pname,x_a)),mgt_call)=mgt_call)). 1.13/0.61 cnf(i_0_57, hypothesis, (hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),pn),u)))). 1.13/0.61 cnf(i_0_112, hypothesis, (hAPP(nat,nat,combi(nat),na)=na)). 1.13/0.61 cnf(i_0_137, plain, (hAPP(X1,X1,combi(X1),undefined(X1))=undefined(X1))). 1.13/0.61 cnf(i_0_86, plain, (hAPP(fun(bool,fun(bool,bool)),fun(bool,fun(bool,bool)),combi(fun(bool,fun(bool,bool))),fdisj)=fdisj)). 1.13/0.61 cnf(i_0_177, plain, (hAPP(fun(bool,fun(bool,bool)),fun(bool,fun(bool,bool)),combi(fun(bool,fun(bool,bool))),fconj)=fconj)). 1.13/0.61 cnf(i_0_168, plain, (hAPP(fun(bool,fun(bool,bool)),fun(bool,fun(bool,bool)),combi(fun(bool,fun(bool,bool))),fimplies)=fimplies)). 1.13/0.61 cnf(i_0_130, 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))))). 1.13/0.61 cnf(i_0_50, hypothesis, (hAPP(fun(nat,nat),fun(nat,nat),combi(fun(nat,nat)),suc)=suc)). 1.13/0.61 cnf(i_0_10, plain, (hAPP(X1,X1,combi(X1),hAPP(X2,X1,X3,X4))=hAPP(X2,X1,X3,X4))). 1.13/0.61 cnf(i_0_121, plain, (hAPP(X1,X2,X3,hAPP(X1,X1,combi(X1),X4))=hAPP(X1,X2,X3,X4))). 1.13/0.61 cnf(i_0_193, 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)). 1.13/0.61 cnf(i_0_47, plain, (hAPP(fun(X1,X1),fun(X1,X1),combi(fun(X1,X1)),combi(X1))=combi(X1))). 1.13/0.61 cnf(i_0_128, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X1)))). 1.13/0.61 cnf(i_0_54, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X2)))). 1.13/0.61 cnf(i_0_179, hypothesis, (hAPP(fun(nat,fun(nat,nat)),fun(nat,fun(nat,nat)),combi(fun(nat,fun(nat,nat))),minus_minus(nat))=minus_minus(nat))). 1.13/0.61 cnf(i_0_16, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2))). 1.13/0.61 cnf(i_0_51, plain, (hAPP(X1,X2,hAPP(fun(X1,X2),fun(X1,X2),combi(fun(X1,X2)),X3),X4)=hAPP(X1,X2,X3,X4))). 1.13/0.61 cnf(i_0_2, plain, (hAPP(fun(fun(X1,bool),nat),fun(fun(X1,bool),nat),combi(fun(fun(X1,bool),nat)),finite_card(X1))=finite_card(X1))). 1.13/0.61 cnf(i_0_14, hypothesis, (hAPP(fun(pname,bool),fun(pname,bool),collect(pname),u)=u)). 1.13/0.61 cnf(i_0_142, hypothesis, (hAPP(fun(x_a,bool),fun(x_a,bool),collect(x_a),g)=g)). 1.13/0.61 cnf(i_0_116, plain, (hAPP(fun(bool,bool),fun(bool,bool),collect(bool),fNot)=fNot)). 1.13/0.61 cnf(i_0_53, plain, (hAPP(fun(fun(X1,bool),bool),fun(fun(X1,bool),bool),collect(fun(X1,bool)),finite_finite(X1))=finite_finite(X1))). 1.13/0.61 cnf(i_0_111, plain, (hAPP(fun(X1,fun(X1,bool)),fun(X1,fun(X1,bool)),combi(fun(X1,fun(X1,bool))),fequal(X1))=fequal(X1))). 1.13/0.61 cnf(i_0_178, 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))). 1.13/0.61 cnf(i_0_104, 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))). 1.13/0.61 cnf(i_0_45, 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))). 1.13/0.61 cnf(i_0_149, 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)))). 1.13/0.61 cnf(i_0_136, 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))). 1.13/0.61 cnf(i_0_63, 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)))))). 1.13/0.61 cnf(i_0_99, 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))). 1.13/0.61 cnf(i_0_141, 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))). 1.13/0.61 cnf(i_0_34, 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))). 1.13/0.61 cnf(i_0_188, 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)))). 1.13/0.61 cnf(i_0_64, 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))). 1.13/0.61 cnf(i_0_5, 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))))). 1.13/0.61 cnf(i_0_37, 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))))). 1.13/0.61 cnf(i_0_24, 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))). 1.13/0.61 cnf(i_0_82, 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)))))). 1.13/0.61 cnf(i_0_190, 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))). 1.13/0.61 cnf(i_0_151, 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))). 1.13/0.61 cnf(i_0_118, 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))). 1.13/0.61 cnf(i_0_44, 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))). 1.13/0.61 cnf(i_0_36, 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))). 1.13/0.61 cnf(i_0_35, 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)))). 1.13/0.61 cnf(i_0_18, 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))). 1.13/0.61 cnf(i_0_31, 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)))). 1.13/0.61 cnf(i_0_49, 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))). 1.13/0.61 cnf(i_0_148, 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)))). 1.13/0.61 cnf(i_0_91, 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)))). 1.13/0.61 cnf(i_0_134, 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))). 1.13/0.61 cnf(i_0_56, plain, (hAPP(nat,nat,suc,X1)!=X1)). 1.13/0.61 cnf(i_0_100, 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)))). 1.13/0.61 cnf(i_0_28, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X1)))). 1.13/0.61 cnf(i_0_119, 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))))). 1.13/0.61 cnf(i_0_129, plain, (~hBOOL(hAPP(bool,bool,fNot,X1))|~hBOOL(X1))). 1.13/0.61 cnf(i_0_173, plain, (preorder(fun(X1,X2))|~preorder(X2))). 1.13/0.61 cnf(i_0_32, plain, (order(fun(X1,X2))|~order(X2))). 1.13/0.61 cnf(i_0_124, plain, (finite_finite_1(fun(X1,X2))|~finite_finite_1(X1)|~finite_finite_1(X2))). 1.13/0.61 cnf(i_0_87, plain, (hBOOL(hAPP(bool,bool,fNot,X1))|hBOOL(X1))). 1.13/0.61 cnf(i_0_126, hypothesis, (hBOOL(X1)|~hBOOL(hAPP(bool,bool,combi(bool),X1)))). 1.13/0.61 cnf(i_0_52, plain, (X1=X2|hAPP(nat,nat,suc,X1)!=hAPP(nat,nat,suc,X2))). 1.13/0.61 cnf(i_0_98, plain, (hBOOL(X1)|~hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,X2),X1)))). 1.13/0.61 cnf(i_0_125, hypothesis, (hBOOL(hAPP(bool,bool,combi(bool),X1))|~hBOOL(X1))). 1.13/0.61 cnf(i_0_184, plain, (hBOOL(X1)|~hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,X1),X2)))). 1.13/0.61 cnf(i_0_71, plain, (hBOOL(X1)|~hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fimplies,X2),X1))|~hBOOL(X2))). 1.13/0.61 cnf(i_0_48, plain, (hBOOL(X1)|hBOOL(X2)|~hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,X1),X2)))). 1.13/0.61 cnf(i_0_29, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~finite_finite_1(X1))). 1.13/0.61 cnf(i_0_41, plain, (hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fimplies,X1),X2))|hBOOL(X1))). 1.13/0.61 cnf(i_0_55, plain, (hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,X1),X2))|~hBOOL(X2))). 1.13/0.61 cnf(i_0_153, plain, (hBOOL(hAPP(X1,bool,X2,X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2)))). 1.13/0.61 cnf(i_0_1, plain, (hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,X1),X2))|~hBOOL(X1))). 1.13/0.61 cnf(i_0_80, plain, (hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fimplies,X1),X2))|~hBOOL(X2))). 1.13/0.61 cnf(i_0_78, plain, (hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,X1),X2))|~hBOOL(X2)|~hBOOL(X1))). 1.13/0.61 cnf(i_0_105, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X2))|~preorder(X1))). 1.13/0.61 cnf(i_0_17, 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)))). 1.13/0.61 cnf(i_0_77, 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)))). 1.13/0.61 cnf(i_0_110, plain, (hAPP(nat,nat,suc,esk7_2(X1,X2))=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X2)))). 1.13/0.61 cnf(i_0_79, 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)))). 1.13/0.61 cnf(i_0_60, plain, (hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),esk5_2(X1,X2)),X2)))). 1.13/0.61 cnf(i_0_114, 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)))). 1.13/0.61 cnf(i_0_127, 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))). 1.13/0.61 cnf(i_0_42, plain, (hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,X1,esk3_3(X3,X1,X2)))|~hBOOL(hAPP(nat,bool,X1,X2)))). 1.13/0.61 cnf(i_0_152, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(X1,bool,X3,X2)))). 1.13/0.61 cnf(i_0_194, 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)))). 1.13/0.61 cnf(i_0_90, 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)))). 1.13/0.61 cnf(i_0_122, 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))))). 1.13/0.61 cnf(i_0_186, 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))). 1.13/0.61 cnf(i_0_182, 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),esk12_3(X1,X3,X2)),X3)))). 1.13/0.61 cnf(i_0_61, plain, (hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),esk5_2(X1,X2)),X1))|hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),X1)))). 1.13/0.61 cnf(i_0_26, 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))))). 1.13/0.61 cnf(i_0_176, 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))))). 1.13/0.61 cnf(i_0_115, 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)))). 1.13/0.61 cnf(i_0_102, 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)))). 1.13/0.61 cnf(i_0_62, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),esk4_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)))). 1.13/0.61 cnf(i_0_135, 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)))). 1.13/0.61 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)))). 1.13/0.61 cnf(i_0_101, 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)))). 1.13/0.61 cnf(i_0_181, 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)))). 1.13/0.61 cnf(i_0_43, 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,esk3_3(X3,X1,X2))))|~hBOOL(hAPP(nat,bool,X1,X2)))). 1.13/0.61 cnf(i_0_27, 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)))). 1.13/0.61 cnf(i_0_94, 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)))). 1.13/0.61 cnf(i_0_198, 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))). 1.13/0.61 cnf(i_0_33, 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)))). 1.13/0.61 cnf(i_0_103, 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))). 1.13/0.61 cnf(i_0_183, 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),esk12_3(X1,X3,X2)),X2)))). 1.13/0.61 cnf(i_0_155, 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,esk10_4(X1,X2,X4,X3))!=hAPP(X1,X2,X4,esk10_4(X1,X2,X4,X3)))). 1.13/0.61 cnf(i_0_93, 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)))). 1.13/0.61 cnf(i_0_189, 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)))). 1.13/0.61 cnf(i_0_169, 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)))). 1.13/0.61 cnf(i_0_108, 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)))). 1.13/0.61 cnf(i_0_107, 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)))). 1.13/0.61 cnf(i_0_113, 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)))). 1.13/0.61 cnf(i_0_21, 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)))). 1.13/0.61 cnf(i_0_133, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),esk8_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)))). 1.13/0.61 cnf(i_0_4, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X3,X1,X4,esk1_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))))). 1.13/0.61 cnf(i_0_146, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X3,X1,X4,esk9_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))))). 1.13/0.61 cnf(i_0_20, 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)))). 1.13/0.61 cnf(i_0_13, 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)))). 1.13/0.61 cnf(i_0_85, 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)))). 1.13/0.61 cnf(i_0_67, 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))))). 1.13/0.61 cnf(i_0_191, 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)))). 1.13/0.61 cnf(i_0_65, 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),X3)!=hAPP(X1,X1,combi(X1),X2))). 1.13/0.61 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)),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)))). 1.13/0.61 cnf(i_0_8, 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)))). 1.13/0.61 cnf(i_0_117, 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)))). 1.13/0.61 cnf(i_0_70, 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)))). 1.13/0.61 cnf(i_0_3, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk1_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))))). 1.13/0.61 cnf(i_0_147, 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)))). 1.13/0.61 cnf(i_0_89, 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))))). 1.13/0.61 cnf(i_0_38, 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)))). 1.13/0.61 cnf(i_0_109, 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)))). 1.13/0.61 cnf(i_0_69, 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)))). 1.13/0.61 cnf(i_0_11, 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)))). 1.13/0.61 cnf(i_0_145, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk9_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))))). 1.13/0.61 cnf(i_0_139, 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)))). 1.13/0.61 cnf(i_0_197, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk13_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))))). 1.13/0.61 cnf(i_0_138, 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)))). 1.13/0.61 cnf(i_0_74, 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))))). 1.13/0.61 cnf(i_0_95, 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)))))). 1.13/0.61 cnf(i_0_96, 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)))))). 1.13/0.61 cnf(i_0_187, 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)))). 1.13/0.61 cnf(i_0_131, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),esk8_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)))). 1.13/0.61 cnf(i_0_140, 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(X3,X1,X4,X6)!=hAPP(X1,X1,combi(X1),X2)|~hBOOL(hAPP(fun(X3,bool),bool,hAPP(X3,fun(fun(X3,bool),bool),member(X3),X6),X5)))). 1.13/0.61 cnf(i_0_195, 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)))). 1.13/0.61 cnf(i_0_58, 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)))). 1.13/0.61 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)),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)))). 1.13/0.61 cnf(i_0_165, 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)))). 1.13/0.61 cnf(i_0_166, 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)))). 1.13/0.61 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)),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)))). 1.13/0.61 cnf(i_0_75, 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))))). 1.13/0.61 cnf(i_0_132, plain, (hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),esk8_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)))). 1.13/0.61 cnf(i_0_92, 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)))). 1.13/0.61 cnf(i_0_164, 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)))). 1.13/0.61 cnf(i_0_22, 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))))). 1.13/0.61 cnf(i_0_23, 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))))). 1.13/0.61 cnf(i_0_73, 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(X3,bool),fun(X1,bool),hAPP(fun(X3,X1),fun(fun(X3,bool),fun(X1,bool)),image(X3,X1),X4),X6)!=hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2)|~hBOOL(hAPP(fun(X3,bool),bool,hAPP(fun(X3,bool),fun(fun(X3,bool),bool),ord_less_eq(fun(X3,bool)),X6),X5)))). 1.13/0.61 cnf(i_0_199, 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))). 1.13/0.61 cnf(i_0_200, 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))). 1.13/0.61 cnf(i_0_97, 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))))). 1.13/0.61 cnf(i_0_196, 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,esk13_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))))). 1.13/0.61 # End listing active clauses. There is an equivalent clause to each of these in the clausification! 1.13/0.61 # Begin printing tableau 1.13/0.61 # Found 7 steps 1.13/0.61 cnf(i_0_119, 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)). 1.13/0.61 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_89])). 1.13/0.61 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_129])). 1.13/0.61 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_87])). 1.13/0.61 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_158])). 1.13/0.61 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_130])). 1.13/0.61 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, ...])). 1.13/0.61 # End printing tableau 1.13/0.61 # SZS output end 1.13/0.61 # Branches closed with saturation will be marked with an "s" 1.66/0.62 # Child (15331) has found a proof. 1.66/0.62 1.66/0.62 # Proof search is over... 1.66/0.62 # Freeing feature tree 1.66/0.62 EOF