0.10/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.12 % Command : do_cvc5 %s %d THM 0.13/0.32 % Computer : n001.cluster.edu 0.13/0.32 % Model : x86_64 x86_64 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.32 % Memory : 8042.1875MB 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.32 % CPULimit : 1440 0.13/0.32 % WCLimit : 180 0.13/0.32 % DateTime : Thu Jul 4 09:20:39 EDT 2024 0.13/0.33 % CPUTime : 0.47/0.66 %----Proving TH0 0.50/0.96 --- Run --ho-elim --enum-inst at 10... 0.50/0.96 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.AnmDc9RdIF/cvc5---1.0.5_31689.smt2 0.50/0.96 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.AnmDc9RdIF/cvc5---1.0.5_31689.smt2 0.50/0.96 (declare-sort tptp.g 0) 0.50/0.96 (declare-sort tptp.list_node 0) 0.50/0.96 (declare-sort tptp.node 0) 0.50/0.96 (declare-sort tptp.list_P561207620_edgeD 0) 0.50/0.96 (declare-sort tptp.produc1432036078de_val 0) 0.50/0.96 (declare-sort tptp.option_list_val 0) 0.50/0.96 (declare-sort tptp.set_val 0) 0.50/0.96 (declare-sort tptp.set_node 0) 0.50/0.96 (declare-sort tptp.val 0) 0.50/0.96 (declare-sort tptp.list_list_node 0) 0.50/0.96 (declare-sort tptp.set_list_node 0) 0.50/0.96 (declare-sort tptp.list_val 0) 0.50/0.96 (declare-fun tptp.sSA_CF848637139eD_val ((-> tptp.g tptp.list_node) (-> tptp.g tptp.node tptp.list_P561207620_edgeD) (-> tptp.g tptp.produc1432036078de_val tptp.option_list_val) tptp.g tptp.node) tptp.set_val) 0.50/0.96 (declare-fun tptp.s () tptp.val) 0.50/0.96 (declare-fun tptp.graph_2009891965_edgeD ((-> tptp.g tptp.list_node) (-> tptp.g Bool) (-> tptp.g tptp.node tptp.list_P561207620_edgeD) tptp.g tptp.node tptp.list_node tptp.node tptp.list_node tptp.node) Bool) 0.50/0.96 (declare-fun tptp.n () tptp.node) 0.50/0.96 (declare-fun tptp.collect_node ((-> tptp.node Bool)) tptp.set_node) 0.50/0.96 (declare-fun tptp.rs_rest () tptp.list_node) 0.50/0.96 (declare-fun tptp.collect_val ((-> tptp.val Bool)) tptp.set_val) 0.50/0.96 (declare-fun tptp.ord_less_eq_set_val (tptp.set_val tptp.set_val) Bool) 0.50/0.96 (declare-fun tptp.ord_less_eq_set_node (tptp.set_node tptp.set_node) Bool) 0.50/0.96 (declare-fun tptp.prefix_node (tptp.list_node tptp.list_node) Bool) 0.50/0.96 (declare-fun tptp.ms () tptp.list_node) 0.50/0.96 (declare-fun tptp.tl_list_node (tptp.list_list_node) tptp.list_list_node) 0.50/0.96 (declare-fun tptp.rs () tptp.list_node) 0.50/0.96 (declare-fun tptp.hd_list_node (tptp.list_list_node) tptp.list_node) 0.50/0.96 (declare-fun tptp.set_list_node2 (tptp.list_list_node) tptp.set_list_node) 0.50/0.96 (declare-fun tptp.sSA_CF1252180629de_val ((-> tptp.g tptp.list_node) (-> tptp.g tptp.node tptp.set_val) (-> tptp.g tptp.produc1432036078de_val tptp.option_list_val) tptp.g tptp.val tptp.val) Bool) 0.50/0.96 (declare-fun tptp.butlast_list_node (tptp.list_list_node) tptp.list_list_node) 0.50/0.96 (declare-fun tptp.phi_r () tptp.val) 0.50/0.96 (declare-fun tptp.rs2 () tptp.list_node) 0.50/0.96 (declare-fun tptp.hd_node (tptp.list_node) tptp.node) 0.50/0.96 (declare-fun tptp.member_list_node (tptp.list_node tptp.set_list_node) Bool) 0.50/0.96 (declare-fun tptp.append_list_node (tptp.list_list_node tptp.list_list_node) tptp.list_list_node) 0.50/0.96 (declare-fun tptp.m () tptp.node) 0.50/0.96 (declare-fun tptp.cons_list_node (tptp.list_node tptp.list_list_node) tptp.list_list_node) 0.50/0.96 (declare-fun tptp.butlast_val (tptp.list_val) tptp.list_val) 0.50/0.96 (declare-fun tptp.inEdges (tptp.g tptp.node) tptp.list_P561207620_edgeD) 0.50/0.96 (declare-fun tptp.tl_node (tptp.list_node) tptp.list_node) 0.50/0.96 (declare-fun tptp.set_val2 (tptp.list_val) tptp.set_val) 0.50/0.96 (declare-fun tptp.append_node (tptp.list_node tptp.list_node) tptp.list_node) 0.50/0.96 (declare-fun tptp.member_node (tptp.node tptp.set_node) Bool) 0.50/0.96 (declare-fun tptp.set_node2 (tptp.list_node) tptp.set_node) 0.50/0.96 (declare-fun tptp.tmp () tptp.list_node) 0.50/0.96 (declare-fun tptp.hd_val (tptp.list_val) tptp.val) 0.50/0.96 (declare-fun tptp.graph_435229452_edgeD ((-> tptp.g tptp.list_node) (-> tptp.g Bool) (-> tptp.g tptp.node tptp.list_P561207620_edgeD) tptp.g tptp.list_node) Bool) 0.50/0.96 (declare-fun tptp.append_val (tptp.list_val tptp.list_val) tptp.list_val) 0.50/0.96 (declare-fun tptp.member_val (tptp.val tptp.set_val) Bool) 0.50/0.96 (declare-fun tptp.tl_val (tptp.list_val) tptp.list_val) 0.50/0.96 (declare-fun tptp.defs (tptp.g tptp.node) tptp.set_val) 0.50/0.96 (declare-fun tptp.invar (tptp.g) Bool) 0.50/0.96 (declare-fun tptp.pred_phi_r () tptp.node) 0.50/0.96 (declare-fun tptp.nil_node () tptp.list_node) 0.50/0.96 (declare-fun tptp.alpha_n (tptp.g) tptp.list_node) 0.50/0.96 (declare-fun tptp.graph_1012773594_edgeD ((-> tptp.g tptp.list_node) (-> tptp.g Bool) (-> tptp.g tptp.node tptp.list_P561207620_edgeD) tptp.g tptp.node tptp.list_node tptp.node) Bool) 0.50/0.96 (declare-fun tptp.cons_node (tptp.node tptp.list_node) tptp.list_node) 0.50/0.96 (declare-fun tptp.ms2 () tptp.list_node) 0.50/0.96 (declare-fun tptp.i () tptp.node) 0.50/0.96 (declare-fun tptp.ns () tptp.list_node) 0.50/0.96 (declare-fun tptp.cons_val (tptp.val tptp.list_val) tptp.list_val) 0.50/0.96 (declare-fun tptp.ri () tptp.list_node) 0.50/0.96 (declare-fun tptp.nil_val () tptp.list_val) 0.50/0.96 (declare-fun tptp.r () tptp.val) 0.50/0.96 (declare-fun tptp.butlast_node (tptp.list_node) tptp.list_node) 0.50/0.96 (declare-fun tptp.g2 () tptp.g) 0.50/0.96 (declare-fun tptp.sSA_CF551432799de_val ((-> tptp.g tptp.list_node) (-> tptp.g tptp.node tptp.set_val) (-> tptp.g tptp.produc1432036078de_val tptp.option_list_val) tptp.g tptp.val) tptp.node) 0.50/0.96 (declare-fun tptp.phis (tptp.g tptp.produc1432036078de_val) tptp.option_list_val) 0.50/0.96 (declare-fun tptp.nil_list_node () tptp.list_list_node) 0.50/0.96 (declare-fun tptp.suffix_node (tptp.list_node tptp.list_node) Bool) 0.50/0.96 (declare-fun tptp.graph_272749361_edgeD ((-> tptp.g tptp.node tptp.list_P561207620_edgeD) tptp.g tptp.node) tptp.list_node) 0.50/0.96 (define @v.0.W12 () (alf.var "W12" tptp.list_node)) 0.50/0.96 (define @v.0.W13 () (alf.var "W13" tptp.list_node)) 0.50/0.96 (define @v.0.W23 () (alf.var "W23" tptp.list_node)) 0.50/0.96 (define @v.0.W1 () (alf.var "W1" tptp.list_node)) 0.50/0.96 (define @v.1.L3 () (alf.var "L3" tptp.list_node)) 0.50/0.96 (define @v.2.E () (alf.var "E" tptp.node)) 0.50/0.96 (define @v.1.Xl () (alf.var "Xl" tptp.list_node)) 0.50/0.96 (define @v.2.Y22 () (alf.var "Y22" tptp.list_node)) 0.50/0.96 (define @v.1.Xs4 () (alf.var "Xs4" tptp.list_val)) 0.50/0.96 (define @v.0.X222 () (alf.var "X222" tptp.list_node)) 0.50/0.96 (define @v.1.Y2 () (alf.var "Y2" tptp.node)) 0.50/0.96 (define @v.0.Xl2 () (alf.var "Xl2" tptp.node)) 0.50/0.96 (define @v.0.R3 () (alf.var "R3" (-> tptp.node tptp.node Bool))) 0.50/0.96 (define @v.2.B () (alf.var "B" tptp.set_node)) 0.50/0.96 (define @v.2.C () (alf.var "C" tptp.set_node)) 0.50/0.96 (define @v.0.D () (alf.var "D" tptp.set_node)) 0.50/0.96 (define @v.1.Y22 () (alf.var "Y22" tptp.list_list_node)) 0.50/0.96 (define @v.2.X21 () (alf.var "X21" tptp.list_node)) 0.50/0.96 (define @v.2.E22 () (alf.var "E22" tptp.val)) 0.50/0.96 (define @v.2.E1 () (alf.var "E1" tptp.val)) 0.50/0.96 (define @v.2.List2 () (alf.var "List2" tptp.list_list_node)) 0.50/0.96 (define @v.0.Ys4 () (alf.var "Ys4" tptp.list_node)) 0.50/0.96 (define @v.0.Xs5 () (alf.var "Xs5" tptp.list_node)) 0.50/0.96 (define @v.0.Ps () (alf.var "Ps" tptp.list_node)) 0.50/0.96 (define @v.0.Ys5 () (alf.var "Ys5" tptp.list_node)) 0.50/0.96 (define @v.1.List () (alf.var "List" tptp.list_val)) 0.50/0.96 (define @v.1.X23 () (alf.var "X23" tptp.list_node)) 0.50/0.96 (define @v.0.R1 () (alf.var "R1" tptp.list_node)) 0.50/0.96 (define @v.0.R2 () (alf.var "R2" tptp.list_node)) 0.50/0.96 (define @v.0.N1 () (alf.var "N1" tptp.node)) 0.50/0.96 (define @v.0.R () (alf.var "R" (-> tptp.node tptp.node Bool))) 0.50/0.96 (define @v.0.N6 () (alf.var "N6" tptp.node)) 0.50/0.96 (define @v.0.X1 () (alf.var "X1" tptp.node)) 0.50/0.96 (define @v.0.X23 () (alf.var "X23" tptp.node)) 0.50/0.96 (define @v.0.S () (alf.var "S" tptp.set_node)) 0.50/0.96 (define @v.0.Ll () (alf.var "Ll" tptp.list_node)) 0.50/0.96 (define @v.1.List2 () (alf.var "List2" tptp.list_val)) 0.50/0.96 (define @v.1.Zs () (alf.var "Zs" tptp.list_val)) 0.50/0.96 (define @v.1.B2 () (alf.var "B2" tptp.list_node)) 0.50/0.96 (define @v.1.Ys6 () (alf.var "Ys6" tptp.list_val)) 0.50/0.96 (define @v.0.Y2 () (alf.var "Y2" tptp.list_node)) 0.50/0.96 (define @v.0.Xl () (alf.var "Xl" tptp.node)) 0.50/0.96 (define @v.1.L12 () (alf.var "L12" tptp.list_val)) 0.50/0.96 (define @v.1.L22 () (alf.var "L22" tptp.list_val)) 0.50/0.96 (define @v.5.A () (alf.var "A" tptp.list_list_node)) 0.50/0.96 (define @v.0.Y4 () (alf.var "Y4" tptp.list_node)) 0.50/0.96 (define @v.0.B4 () (alf.var "B4" tptp.list_node)) 0.50/0.96 (define @v.1.L1 () (alf.var "L1" tptp.list_node)) 0.50/0.96 (define @v.1.X4 () (alf.var "X4" tptp.val)) 0.50/0.96 (define @v.1.Y () (alf.var "Y" tptp.val)) 0.50/0.96 (define @v.3.P () (alf.var "P" (-> tptp.val Bool))) 0.50/0.96 (define @v.0.C1 () (alf.var "C1" tptp.list_node)) 0.50/0.96 (define @v.0.Qs () (alf.var "Qs" tptp.node)) 0.50/0.96 (define @v.0.C2 () (alf.var "C2" tptp.list_node)) 0.50/0.96 (define @v.0.C212 () (alf.var "C212" tptp.list_node)) 0.50/0.96 (define @v.0.C22 () (alf.var "C22" tptp.list_node)) 0.50/0.96 (define @v.0.Va () (alf.var "Va" tptp.list_node)) 0.50/0.96 (define @v.0.List () (alf.var "List" tptp.list_node)) 0.50/0.96 (define @v.5.P () (alf.var "P" (-> (-> tptp.node tptp.node Bool) tptp.list_node tptp.list_node Bool))) 0.50/0.96 (define @v.0.Ys2 () (alf.var "Ys2" tptp.list_val)) 0.50/0.96 (define @v.0.A2 () (alf.var "A2" tptp.set_node)) 0.50/0.96 (define @v.0.Ms2 () (alf.var "Ms2" tptp.list_node)) 0.50/0.96 (define @v.0.Ns4 () (alf.var "Ns4" tptp.list_node)) 0.50/0.96 (define @v.0.Z () (alf.var "Z" tptp.list_node)) 0.50/0.96 (define @v.0.Xs2 () (alf.var "Xs2" tptp.list_node)) 0.50/0.96 (define @v.1.L () (alf.var "L" tptp.list_node)) 0.50/0.96 (define @v.0.I () (alf.var "I" tptp.node)) 0.50/0.96 (define @v.0.P () (alf.var "P" (-> tptp.list_node Bool))) 0.50/0.96 (define @v.0.W2 () (alf.var "W2" tptp.list_node)) 0.50/0.96 (define @v.0.Xss () (alf.var "Xss" tptp.list_list_node)) 0.50/0.96 (define @v.0.Ns_3 () (alf.var "Ns_3" tptp.list_node)) 0.50/0.96 (define @v.0.N4 () (alf.var "N4" tptp.node)) 0.50/0.96 (define @v.0.Ys6 () (alf.var "Ys6" tptp.list_node)) 0.50/0.96 (define @v.0.N3 () (alf.var "N3" tptp.node)) 0.50/0.96 (define @v.0.B () (alf.var "B" tptp.list_node)) 0.50/0.96 (define @v.4.X3 () (alf.var "X3" tptp.list_list_node)) 0.50/0.96 (define @v.1.Z2 () (alf.var "Z2" tptp.list_node)) 0.50/0.96 (define @v.1.Ys3 () (alf.var "Ys3" tptp.list_val)) 0.50/0.96 (define @v.2.Y21 () (alf.var "Y21" tptp.node)) 0.50/0.96 (define @v.0.A4 () (alf.var "A4" tptp.list_node)) 0.50/0.96 (define @v.0.Ns3 () (alf.var "Ns3" tptp.list_node)) 0.50/0.96 (define @v.2.X () (alf.var "X" tptp.list_node)) 0.50/0.96 (define @v.0.N2 () (alf.var "N2" tptp.node)) 0.50/0.96 (define @v.0.L3 () (alf.var "L3" tptp.list_val)) 0.50/0.96 (define @v.0.C12 () (alf.var "C12" tptp.list_node)) 0.50/0.96 (define @v.0.A1 () (alf.var "A1" tptp.list_node)) 0.50/0.96 (define @v.1.Ys () (alf.var "Ys" tptp.list_node)) 0.50/0.96 (define @v.0.Qs2 () (alf.var "Qs2" tptp.node)) 0.50/0.96 (define @v.7.P () (alf.var "P" (-> (-> tptp.node tptp.node Bool) tptp.list_node Bool))) 0.50/0.96 (define @v.0.Y3 () (alf.var "Y3" tptp.node)) 0.50/0.96 (define @v.1.X22 () (alf.var "X22" tptp.list_node)) 0.50/0.96 (define @v.1.X21 () (alf.var "X21" tptp.node)) 0.50/0.96 (define @v.2.Ys () (alf.var "Ys" tptp.list_list_node)) 0.50/0.96 (define @v.0.Y21 () (alf.var "Y21" tptp.val)) 0.50/0.96 (define @v.0.Y22 () (alf.var "Y22" tptp.list_val)) 0.50/0.96 (define @v.0.Ts () (alf.var "Ts" tptp.list_node)) 0.50/0.96 (define @v.1.E1 () (alf.var "E1" tptp.node)) 0.50/0.96 (define @v.0.Xs_2 () (alf.var "Xs_2" tptp.list_node)) 0.50/0.96 (define @v.0.A3 () (alf.var "A3" tptp.node)) 0.50/0.96 (define @v.0.Z2 () (alf.var "Z2" tptp.list_val)) 0.50/0.96 (define @v.1.Q () (alf.var "Q" (-> tptp.node Bool))) 0.50/0.96 (define @v.0.A22 () (alf.var "A22" tptp.list_node)) 0.50/0.96 (define @v.2.Xs () (alf.var "Xs" tptp.list_list_node)) 0.50/0.96 (define @v.0.B2 () (alf.var "B2" tptp.node)) 0.50/0.96 (define @v.2.X22 () (alf.var "X22" tptp.list_list_node)) 0.50/0.96 (define @v.0.M () (alf.var "M" tptp.node)) 0.50/0.96 (define @v.0.F () (alf.var "F" (-> tptp.node tptp.node))) 0.50/0.96 (define @v.1.P () (alf.var "P" (-> (-> tptp.node tptp.node) tptp.list_node tptp.list_node Bool))) 0.50/0.96 (define @v.1.Zs2 () (alf.var "Zs2" tptp.list_val)) 0.50/0.96 (define @v.0.As () (alf.var "As" tptp.list_node)) 0.50/0.96 (define @v.0.X_1 () (alf.var "X_1" tptp.list_node)) 0.50/0.96 (define @v.0.X213 () (alf.var "X213" tptp.node)) 0.50/0.96 (define @v.0.Tmp () (alf.var "Tmp" tptp.list_node)) 0.50/0.96 (define @v.0.Z3 () (alf.var "Z3" tptp.list_node)) 0.50/0.96 (define @v.0.Ns () (alf.var "Ns" tptp.list_node)) 0.50/0.96 (define @v.0.X212 () (alf.var "X212" tptp.node)) 0.50/0.96 (define @v.2.E2 () (alf.var "E2" tptp.val)) 0.50/0.96 (define @v.2.X3 () (alf.var "X3" tptp.list_node)) 0.50/0.96 (define @v.0.C () (alf.var "C" tptp.list_node)) 0.50/0.96 (define @v.3.L () (alf.var "L" tptp.list_val)) 0.50/0.96 (define @v.0.X21 () (alf.var "X21" tptp.val)) 0.50/0.96 (define @v.3.X3 () (alf.var "X3" tptp.list_val)) 0.50/0.96 (define @v.0.List2 () (alf.var "List2" tptp.list_node)) 0.50/0.96 (define @v.0.Zs3 () (alf.var "Zs3" tptp.list_val)) 0.50/0.96 (define @v.0.N () (alf.var "N" tptp.node)) 0.50/0.96 (define @v.0.Xs () (alf.var "Xs" tptp.list_val)) 0.50/0.96 (define @v.0.A () (alf.var "A" tptp.list_node)) 0.50/0.96 (define @v.1.B3 () (alf.var "B3" tptp.set_node)) 0.50/0.96 (define @v.0.Ns_2 () (alf.var "Ns_2" tptp.list_node)) 0.50/0.96 (define @v.0.Zs2 () (alf.var "Zs2" tptp.list_node)) 0.50/0.96 (define @v.0.Ms () (alf.var "Ms" tptp.list_node)) 0.50/0.96 (define @v.0.C21 () (alf.var "C21" tptp.list_node)) 0.50/0.96 (define @v.2.P () (alf.var "P" (-> tptp.node Bool))) 0.50/0.96 (define @v.2.E4 () (alf.var "E4" tptp.list_node)) 0.50/0.96 (define @v.1.X () (alf.var "X" tptp.node)) 0.50/0.96 (define @v.0.Y () (alf.var "Y" tptp.node)) 0.50/0.96 (define @v.0.Q () (alf.var "Q" (-> tptp.val Bool))) 0.50/0.96 (define @v.0.M3 () (alf.var "M3" tptp.node)) 0.50/0.96 (define @v.0.X4 () (alf.var "X4" tptp.node)) 0.50/0.96 (define @v.1.X3 () (alf.var "X3" tptp.val)) 0.50/0.96 (define @v.0.Xs3 () (alf.var "Xs3" tptp.list_node)) 0.50/0.96 (define @v.0.Ys () (alf.var "Ys" tptp.list_val)) 0.50/0.96 (define @v.2.List () (alf.var "List" tptp.list_list_node)) 0.50/0.96 (define @v.1.A0 () (alf.var "A0" (-> tptp.node tptp.node))) 0.50/0.96 (define @v.1.A () (alf.var "A" tptp.node)) 0.50/0.96 (define @v.1.L2 () (alf.var "L2" tptp.list_node)) 0.50/0.96 (define @v.0.G () (alf.var "G" tptp.g)) 0.50/0.96 (define @v.0.L2 () (alf.var "L2" tptp.list_list_node)) 0.50/0.96 (define @v.0.E2 () (alf.var "E2" tptp.list_node)) 0.50/0.96 (define @v.0.N5 () (alf.var "N5" tptp.node)) 0.50/0.96 (define @v.4.P () (alf.var "P" (-> tptp.list_node tptp.list_node Bool))) 0.50/0.96 (define @v.0.Ys3 () (alf.var "Ys3" tptp.list_node)) 0.50/0.96 (define @v.0.E4 () (alf.var "E4" tptp.node)) 0.50/0.96 (define @v.3.X () (alf.var "X" tptp.list_list_node)) 0.50/0.96 (define @v.0.Ps2 () (alf.var "Ps2" tptp.list_node)) 0.50/0.96 (define @v.1.Xs () (alf.var "Xs" tptp.list_node)) 0.50/0.96 (define @v.0.E12 () (alf.var "E12" tptp.list_node)) 0.50/0.96 (define @v.0.E1 () (alf.var "E1" tptp.list_node)) 0.50/0.96 (define @v.0.B3 () (alf.var "B3" tptp.set_val)) 0.50/0.96 (define @v.2.E12 () (alf.var "E12" tptp.val)) 0.50/0.96 (define @v.0.E22 () (alf.var "E22" tptp.list_node)) 0.50/0.96 (define @v.4.A () (alf.var "A" tptp.set_node)) 0.50/0.96 (define @v.1.A2 () (alf.var "A2" tptp.set_val)) 0.50/0.96 (define @v.1.E () (alf.var "E" tptp.val)) 0.50/0.96 (define @v.1.Zs3 () (alf.var "Zs3" tptp.list_node)) 0.50/0.96 (define @v.0.Ns5 () (alf.var "Ns5" tptp.list_node)) 0.50/0.96 (define @v.1.Ys2 () (alf.var "Ys2" tptp.list_node)) 0.50/0.96 (define @v.0.Ns2 () (alf.var "Ns2" tptp.list_node)) 0.50/0.96 (define @v.2.L () (alf.var "L" tptp.node)) 0.50/0.96 (define @v.1.C () (alf.var "C" tptp.list_val)) 0.50/0.96 (define @v.1.B () (alf.var "B" tptp.list_val)) 0.50/0.96 (define @v.2.A () (alf.var "A" tptp.list_val)) 0.50/0.96 (define @v.0.Us2 () (alf.var "Us2" tptp.list_node)) 0.50/0.96 (define @v.0.Zs () (alf.var "Zs" tptp.list_node)) 0.50/0.96 (define @v.0.Xs1 () (alf.var "Xs1" tptp.list_node)) 0.50/0.96 (define @v.3.A () (alf.var "A" tptp.val)) 0.50/0.96 (define @v.2.L1 () (alf.var "L1" tptp.list_val)) 0.50/0.96 (define @v.2.L2 () (alf.var "L2" tptp.list_val)) 0.50/0.96 (define @v.1.E12 () (alf.var "E12" tptp.node)) 0.50/0.96 (define @v.0.Us () (alf.var "Us" tptp.list_node)) 0.50/0.96 (define @v.0.E3 () (alf.var "E3" tptp.val)) 0.50/0.96 (define @v.0.Z1 () (alf.var "Z1" tptp.val)) 0.50/0.96 (define @v.1.E3 () (alf.var "E3" tptp.list_node)) 0.50/0.96 (define @v.0.E () (alf.var "E" tptp.list_node)) 0.50/0.96 (define @v.0.N22 () (alf.var "N22" tptp.node)) 0.50/0.96 (define @v.2.E3 () (alf.var "E3" tptp.node)) 0.50/0.96 (define @v.1.Z1 () (alf.var "Z1" tptp.node)) 0.50/0.96 (define @v.0.L () (alf.var "L" tptp.list_list_node)) 0.50/0.96 (define @v.0.Xs4 () (alf.var "Xs4" tptp.list_node)) 0.50/0.96 (define @v.0.M4 () (alf.var "M4" tptp.node)) 0.50/0.96 (define @v.0.L22 () (alf.var "L22" tptp.list_node)) 0.50/0.96 (define @v.0.L12 () (alf.var "L12" tptp.list_node)) 0.50/0.96 (define @v.0.W22 () (alf.var "W22" tptp.list_node)) 0.50/0.96 (define @v.0.Rs_rest () (alf.var "Rs_rest" tptp.list_node)) 0.50/0.96 (define @v.0.Ri () (alf.var "Ri" tptp.list_node)) 0.50/0.96 (define @v.0.A0 () (alf.var "A0" tptp.list_node)) 0.50/0.96 (define @v.0.X223 () (alf.var "X223" tptp.list_node)) 0.50/0.96 (define @v.2.A0 () (alf.var "A0" (-> tptp.node tptp.node Bool))) 0.50/0.96 (define @v.0.X () (alf.var "X" tptp.val)) 0.50/0.96 (define @v.0.V () (alf.var "V" tptp.node)) 0.50/0.96 (define @v.0.P2 () (alf.var "P2" (-> tptp.node tptp.node Bool))) 0.50/0.96 (define @v.1.E4 () (alf.var "E4" tptp.val)) 0.50/0.96 (define @v.0.Ns_1 () (alf.var "Ns_1" tptp.list_node)) 0.50/0.96 (define @v.2.Y () (alf.var "Y" tptp.list_node)) 0.50/0.96 (define @v.1.Y21 () (alf.var "Y21" tptp.list_node)) 0.50/0.96 (define @v.6.P () (alf.var "P" (-> tptp.node tptp.list_node tptp.node Bool))) 0.50/0.96 (define @v.0.M2 () (alf.var "M2" tptp.node)) 0.50/0.96 (define @v.0.Bs () (alf.var "Bs" tptp.list_node)) 0.50/0.96 (define @v.0.Xs_1 () (alf.var "Xs_1" tptp.list_node)) 0.50/0.96 (define @v.0.Xs6 () (alf.var "Xs6" tptp.list_node)) 0.50/0.96 (define @v.0.X3 () (alf.var "X3" tptp.node)) 0.50/0.96 (define @v.1.E22 () (alf.var "E22" tptp.node)) 0.50/0.96 (define @v.0.Xa () (alf.var "Xa" tptp.node)) 0.50/0.96 (define @v.1.E2 () (alf.var "E2" tptp.node)) 0.50/0.96 (define @v.0.X2 () (alf.var "X2" tptp.node)) 0.50/0.96 (define @v.0.L1 () (alf.var "L1" tptp.list_list_node)) 0.50/0.96 (define @v.0.X22 () (alf.var "X22" tptp.list_val)) 0.50/0.96 (define @v.0.Ls () (alf.var "Ls" tptp.list_node)) 0.50/0.96 (define @t1 () (_ @v.0.P @v.0.A0)) 0.50/0.96 (define @t2 () (_ @v.0.P tptp.nil_node)) 0.50/0.96 (define @t3 () (_ tptp.cons_node @v.0.X4)) 0.50/0.96 (define @t4 () (_ @t3 @v.0.Xs2)) 0.50/0.96 (define @t5 () (_ @v.0.P @t4)) 0.50/0.96 (define @t6 () (_ @v.0.P @v.0.Xs2)) 0.50/0.96 (define @t7 () (@list @v.0.X4 @v.0.Xs2)) 0.50/0.96 (define @t8 () (@list @v.0.P @v.0.A0)) 0.50/0.96 (define @t9 () (_ tptp.tl_val @v.0.Xs)) 0.50/0.96 (define @t10 () (_ tptp.member_val @v.0.X)) 0.50/0.96 (define @t11 () (_ tptp.set_val2 @v.0.Xs)) 0.50/0.96 (define @t12 () (_ @t10 @t11)) 0.50/0.96 (define @t13 () (_ tptp.hd_val @v.0.Xs)) 0.50/0.96 (define @t14 () (@list @v.0.X @v.0.Xs)) 0.50/0.96 (define @t15 () (_ tptp.set_node2 @v.1.Xs)) 0.50/0.96 (define @t16 () (_ tptp.member_node @v.0.Y)) 0.50/0.96 (define @t17 () (_ tptp.cons_node @v.1.X)) 0.50/0.96 (define @t18 () (_ @t17 @v.1.Xs)) 0.50/0.96 (define @t19 () (_ tptp.set_node2 @t18)) 0.50/0.96 (define @t20 () (not (= @v.0.Ns (_ (_ tptp.append_node (_ tptp.butlast_node @v.0.Ns_1)) @v.0.Ns_2)))) 0.50/0.96 (define @t21 () (_ tptp.append_node @v.0.Ns_1)) 0.50/0.96 (define @t22 () (_ (_ (_ tptp.graph_1012773594_edgeD tptp.alpha_n) tptp.invar) tptp.inEdges)) 0.50/0.96 (define @t23 () (_ @t22 @v.0.G)) 0.50/0.96 (define @t24 () (_ @t23 @v.1.X)) 0.50/0.96 (define @t25 () (_ (_ @t24 @v.0.Ns_2) @v.0.M)) 0.50/0.96 (define @t26 () (@list @v.0.Ns_2)) 0.50/0.96 (define @t27 () (_ @t23 @v.0.N)) 0.50/0.96 (define @t28 () (_ (_ @t27 @v.0.Ns_1) @v.1.X)) 0.50/0.96 (define @t29 () (@list @v.0.Ns_1)) 0.50/0.96 (define @t30 () (_ tptp.set_node2 @v.0.Ns)) 0.50/0.96 (define @t31 () (_ tptp.member_node @v.1.X)) 0.50/0.96 (define @t32 () (_ @t31 @t30)) 0.50/0.96 (define @t33 () (_ @t27 @v.0.Ns)) 0.50/0.96 (define @t34 () (_ @t33 @v.0.M)) 0.50/0.96 (define @t35 () (@list @v.0.G @v.0.N @v.0.Ns @v.0.M @v.1.X)) 0.50/0.96 (define @t36 () (_ tptp.cons_node @v.0.Y3)) 0.50/0.96 (define @t37 () (_ @t36 @v.0.Xs2)) 0.50/0.96 (define @t38 () (_ @t3 @t37)) 0.50/0.96 (define @t39 () (= @v.0.X4 @v.0.Y3)) 0.50/0.96 (define @t40 () (not @t39)) 0.50/0.96 (define @t41 () (@list @v.0.X4 @v.0.Y3 @v.0.Xs2)) 0.50/0.96 (define @t42 () (_ @t3 tptp.nil_node)) 0.50/0.96 (define @t43 () (@list @v.0.X4)) 0.50/0.96 (define @t44 () (forall @t43 (_ @v.0.P @t42))) 0.50/0.96 (define @t45 () (_ tptp.cons_node @v.0.A3)) 0.50/0.96 (define @t46 () (_ @t45 @v.0.As)) 0.50/0.96 (define @t47 () (_ @v.1.P @v.0.F)) 0.50/0.96 (define @t48 () (_ tptp.member_node tptp.i)) 0.50/0.96 (define @t49 () (= @v.0.X @v.1.Y)) 0.50/0.96 (define @t50 () (_ tptp.cons_val @v.1.Y)) 0.50/0.96 (define @t51 () (_ tptp.append_val @v.0.Ys)) 0.50/0.96 (define @t52 () (_ tptp.cons_val @v.0.X)) 0.50/0.96 (define @t53 () (_ tptp.append_val @v.0.Xs)) 0.50/0.96 (define @t54 () (_ @t53 (_ @t52 tptp.nil_val))) 0.50/0.96 (define @t55 () (_ tptp.cons_node @v.0.N2)) 0.50/0.96 (define @t56 () (_ @t55 @v.0.Ms)) 0.50/0.96 (define @t57 () (_ tptp.cons_node @v.0.N)) 0.50/0.96 (define @t58 () (_ (_ (_ (_ tptp.graph_435229452_edgeD tptp.alpha_n) tptp.invar) tptp.inEdges) @v.0.G)) 0.50/0.96 (define @t59 () (_ @t55 @v.0.Ns)) 0.50/0.96 (define @t60 () (_ @t58 @t59)) 0.50/0.96 (define @t61 () (_ (_ (_ (_ tptp.sSA_CF551432799de_val tptp.alpha_n) tptp.defs) tptp.phis) tptp.g2)) 0.50/0.96 (define @t62 () (_ @t61 tptp.r)) 0.50/0.96 (define @t63 () (_ @t22 tptp.g2)) 0.50/0.96 (define @t64 () (_ @t63 @t62)) 0.50/0.96 (define @t65 () (= @v.1.Xs tptp.nil_node)) 0.50/0.96 (define @t66 () (_ tptp.cons_node @v.0.X3)) 0.50/0.96 (define @t67 () (_ @t66 tptp.nil_node)) 0.50/0.96 (define @t68 () (@list @v.0.X3)) 0.50/0.96 (define @t69 () (exists @t68 (= @v.1.Xs @t67))) 0.50/0.96 (define @t70 () (_ tptp.tl_node @v.1.Xs)) 0.50/0.96 (define @t71 () (= @t70 tptp.nil_node)) 0.50/0.96 (define @t72 () (@list @v.1.Xs)) 0.50/0.96 (define @t73 () (_ tptp.set_node2 (_ tptp.alpha_n @v.0.G))) 0.50/0.96 (define @t74 () (_ tptp.member_node @v.0.N2)) 0.50/0.96 (define @t75 () (_ tptp.invar @v.0.G)) 0.50/0.96 (define @t76 () (_ tptp.member_node @v.0.N)) 0.50/0.96 (define @t77 () (_ @t76 @t73)) 0.50/0.96 (define @t78 () (_ tptp.graph_272749361_edgeD tptp.inEdges)) 0.50/0.96 (define @t79 () (_ @t78 @v.0.G)) 0.50/0.96 (define @t80 () (_ @t76 (_ tptp.set_node2 (_ @t79 @v.0.N2)))) 0.50/0.96 (define @t81 () (@list @v.0.N @v.0.G @v.0.N2)) 0.50/0.96 (define @t82 () (= @v.0.Xs tptp.nil_val)) 0.50/0.96 (define @t83 () (not @t82)) 0.50/0.96 (define @t84 () (@list @v.0.Xs)) 0.50/0.96 (define @t85 () (_ @t57 tptp.nil_node)) 0.50/0.96 (define @t86 () (_ @t58 @t85)) 0.50/0.96 (define @t87 () (not (_ @v.2.P @v.0.Xa))) 0.50/0.96 (define @t88 () (_ tptp.set_node2 @v.0.Ys3)) 0.50/0.96 (define @t89 () (_ tptp.member_node @v.0.Xa)) 0.50/0.96 (define @t90 () (@list @v.0.Xa)) 0.50/0.96 (define @t91 () (forall @t90 (=> (_ @t89 @t88) @t87))) 0.50/0.96 (define @t92 () (_ @v.2.P @v.0.X4)) 0.50/0.96 (define @t93 () (_ tptp.append_node @v.0.Ys3)) 0.50/0.96 (define @t94 () (= @v.1.Xs (_ @t93 (_ @t3 @v.0.Zs2)))) 0.50/0.96 (define @t95 () (@list @v.0.Zs2)) 0.50/0.96 (define @t96 () (exists @t95 @t94)) 0.50/0.96 (define @t97 () (@list @v.0.Ys3 @v.0.X4)) 0.50/0.96 (define @t98 () (_ tptp.member_node @v.0.X2)) 0.50/0.96 (define @t99 () (_ @t98 @t15)) 0.50/0.96 (define @t100 () (_ @v.2.P @v.0.X2)) 0.50/0.96 (define @t101 () (@list @v.0.X2)) 0.50/0.96 (define @t102 () (exists @t101 (and @t100 @t99))) 0.50/0.96 (define @t103 () (@list @v.1.Xs @v.2.P)) 0.50/0.96 (define @t104 () (= @v.0.E1 @v.0.E12)) 0.50/0.96 (define @t105 () (= @v.0.L2 tptp.nil_list_node)) 0.50/0.96 (define @t106 () (= @v.0.E2 @v.0.E22)) 0.50/0.96 (define @t107 () (= @v.0.L1 tptp.nil_list_node)) 0.50/0.96 (define @t108 () (_ (_ tptp.cons_list_node @v.0.E1) (_ (_ tptp.cons_list_node @v.0.E2) tptp.nil_list_node))) 0.50/0.96 (define @t109 () (_ tptp.append_list_node @v.0.L1)) 0.50/0.96 (define @t110 () (_ @t109 (_ (_ tptp.cons_list_node @v.0.E12) (_ (_ tptp.cons_list_node @v.0.E22) @v.0.L2)))) 0.50/0.96 (define @t111 () (_ @t52 @v.0.Xs)) 0.50/0.96 (define @t112 () (_ tptp.butlast_val @t111)) 0.50/0.96 (define @t113 () (_ tptp.butlast_val @v.0.Xs)) 0.50/0.96 (define @t114 () (@list @v.0.Xs @v.0.X)) 0.50/0.96 (define @t115 () (_ (_ tptp.cons_val @v.0.X21) @v.0.X22)) 0.50/0.96 (define @t116 () (_ (_ tptp.cons_node @v.1.X21) @v.1.X22)) 0.50/0.96 (define @t117 () (@list @v.1.X21 @v.1.X22)) 0.50/0.96 (define @t118 () (_ tptp.set_val2 @t115)) 0.50/0.96 (define @t119 () (@list @v.0.X21 @v.0.X22)) 0.50/0.96 (define @t120 () (_ tptp.set_node2 @t116)) 0.50/0.96 (define @t121 () (_ tptp.member_list_node @v.2.X)) 0.50/0.96 (define @t122 () (= @v.0.Xs (_ (_ tptp.append_val @v.1.Ys3) (_ @t52 @v.1.Zs2)))) 0.50/0.96 (define @t123 () (@list @v.1.Ys3 @v.1.Zs2)) 0.50/0.96 (define @t124 () (_ @t53 @v.0.Ys)) 0.50/0.96 (define @t125 () (@list @v.0.Ys @v.0.Xs)) 0.50/0.96 (define @t126 () (@list @v.0.Xs @v.0.Ys)) 0.50/0.96 (define @t127 () (_ (_ tptp.cons_node @v.0.M4) tptp.nil_node)) 0.50/0.96 (define @t128 () (_ tptp.append_node @v.0.Ns)) 0.50/0.96 (define @t129 () (_ tptp.member_node @v.0.M)) 0.50/0.96 (define @t130 () (@list @v.0.G @v.0.N @v.0.Ns @v.0.M @v.0.M4)) 0.50/0.96 (define @t131 () (_ tptp.suffix_node @v.0.A)) 0.50/0.96 (define @t132 () (_ @t131 @v.0.C)) 0.50/0.96 (define @t133 () (_ @t131 @v.0.B)) 0.50/0.96 (define @t134 () (@list @v.0.A @v.0.B @v.0.C)) 0.50/0.96 (define @t135 () (_ (_ tptp.cons_node @v.0.N3) @v.0.Ns3)) 0.50/0.96 (define @t136 () (_ tptp.member_node @v.0.N3)) 0.50/0.96 (define @t137 () (_ @t136 (_ tptp.set_node2 (_ @t79 (_ tptp.hd_node @v.0.Ns3))))) 0.50/0.96 (define @t138 () (_ @t58 @v.0.Ns3)) 0.50/0.96 (define @t139 () (@list @v.0.Ns3 @v.0.N3)) 0.50/0.96 (define @t140 () (_ (_ tptp.cons_node @v.0.N4) tptp.nil_node)) 0.50/0.96 (define @t141 () (_ (_ tptp.member_node @v.0.N4) @t73)) 0.50/0.96 (define @t142 () (@list @v.0.N4)) 0.50/0.96 (define @t143 () (_ @t3 @v.0.Ys3)) 0.50/0.96 (define @t144 () (_ tptp.append_node @v.1.Xs)) 0.50/0.96 (define @t145 () (_ @t144 @v.1.Ys)) 0.50/0.96 (define @t146 () (@list @v.1.X @v.1.Xs @v.1.Ys)) 0.50/0.96 (define @t147 () (_ @t63 tptp.m)) 0.50/0.96 (define @t148 () (_ tptp.set_node2 @t70)) 0.50/0.96 (define @t149 () (_ tptp.ord_less_eq_set_node @t15)) 0.50/0.96 (define @t150 () (_ @t149 @v.0.A2)) 0.50/0.96 (define @t151 () (not @t65)) 0.50/0.96 (define @t152 () (@list @v.1.Xs @v.0.A2)) 0.50/0.96 (define @t153 () (_ tptp.member_val @v.1.X3)) 0.50/0.96 (define @t154 () (@list @v.1.X3)) 0.50/0.96 (define @t155 () (= @v.0.Xs (_ (_ tptp.append_val @v.0.Ys2) (_ @t52 @v.0.Zs3)))) 0.50/0.96 (define @t156 () (@list @v.0.Ys2 @v.0.Zs3)) 0.50/0.96 (define @t157 () (_ tptp.tl_node @v.0.List)) 0.50/0.96 (define @t158 () (_ tptp.hd_node @v.0.List)) 0.50/0.96 (define @t159 () (_ (_ tptp.cons_node @t158) @t157)) 0.50/0.96 (define @t160 () (= @v.0.List tptp.nil_node)) 0.50/0.96 (define @t161 () (not @t160)) 0.50/0.96 (define @t162 () (@list @v.0.List)) 0.50/0.96 (define @t163 () (= @v.2.Xs tptp.nil_list_node)) 0.50/0.96 (define @t164 () (_ tptp.append_list_node @v.2.Xs)) 0.50/0.96 (define @t165 () (_ @t164 @v.2.Ys)) 0.50/0.96 (define @t166 () (@list @v.2.Xs @v.2.Ys)) 0.50/0.96 (define @t167 () (= @v.0.A tptp.nil_node)) 0.50/0.96 (define @t168 () (_ tptp.prefix_node @v.0.A)) 0.50/0.96 (define @t169 () (@list @v.0.A)) 0.50/0.96 (define @t170 () (_ tptp.cons_node @v.0.Qs2)) 0.50/0.96 (define @t171 () (_ @t170 @v.0.C22)) 0.50/0.96 (define @t172 () (_ tptp.cons_node @v.0.Qs)) 0.50/0.96 (define @t173 () (_ tptp.append_node @v.0.C1)) 0.50/0.96 (define @t174 () (_ @t172 @v.0.C2)) 0.50/0.96 (define @t175 () (_ tptp.append_node @v.0.C12)) 0.50/0.96 (define @t176 () (_ (_ tptp.cons_list_node @v.0.A) tptp.nil_list_node)) 0.50/0.96 (define @t177 () (and (= @v.0.L2 @t176) @t107)) 0.50/0.96 (define @t178 () (_ @t109 @v.0.L2)) 0.50/0.96 (define @t179 () (= @t178 @t176)) 0.50/0.96 (define @t180 () (not @t105)) 0.50/0.96 (define @t181 () (_ tptp.collect_val @v.3.P)) 0.50/0.96 (define @t182 () (_ (_ tptp.cons_node @v.1.A) tptp.nil_node)) 0.50/0.96 (define @t183 () (= @v.1.L1 tptp.nil_node)) 0.50/0.96 (define @t184 () (and @t183 (= @v.1.L2 @t182))) 0.50/0.96 (define @t185 () (_ tptp.append_node @v.1.L1)) 0.50/0.96 (define @t186 () (_ @t185 @v.1.L2)) 0.50/0.96 (define @t187 () (= @t182 @t186)) 0.50/0.96 (define @t188 () (= @v.1.L2 tptp.nil_node)) 0.50/0.96 (define @t189 () (not @t188)) 0.50/0.96 (define @t190 () (_ @t76 @t30)) 0.50/0.96 (define @t191 () (_ @t58 @v.0.Ns)) 0.50/0.96 (define @t192 () (@list @v.0.G @v.0.N @v.0.Ns @v.0.M)) 0.50/0.96 (define @t193 () (_ tptp.member_node @v.0.X3)) 0.50/0.96 (define @t194 () (_ @t193 @t15)) 0.50/0.96 (define @t195 () (_ (_ @v.4.P @v.0.A0) @v.0.A1)) 0.50/0.96 (define @t196 () (_ @t36 @v.0.Ys3)) 0.50/0.96 (define @t197 () (_ @v.4.P @t4)) 0.50/0.96 (define @t198 () (_ @t197 @t196)) 0.50/0.96 (define @t199 () (_ @t197 @v.0.Ys3)) 0.50/0.96 (define @t200 () (=> @t199 @t198)) 0.50/0.96 (define @t201 () (_ @v.4.P @v.0.Xs2)) 0.50/0.96 (define @t202 () (_ @t201 @t196)) 0.50/0.96 (define @t203 () (@list @v.0.X4 @v.0.Xs2 @v.0.Y3 @v.0.Ys3)) 0.50/0.96 (define @t204 () (@list @v.0.Xs2)) 0.50/0.96 (define @t205 () (forall @t204 (_ @t201 tptp.nil_node))) 0.50/0.96 (define @t206 () (_ @v.4.P tptp.nil_node)) 0.50/0.96 (define @t207 () (forall (@list @v.0.X_1) (_ @t206 @v.0.X_1))) 0.50/0.96 (define @t208 () (@list @v.4.P @v.0.A0 @v.0.A1)) 0.50/0.96 (define @t209 () (_ tptp.set_node2 tptp.ms)) 0.50/0.96 (define @t210 () (_ (_ @t64 tptp.rs) tptp.pred_phi_r)) 0.50/0.96 (define @t211 () (_ tptp.cons_node @v.0.Y)) 0.50/0.96 (define @t212 () (_ @t211 tptp.nil_node)) 0.50/0.96 (define @t213 () (_ tptp.append_node @v.1.Zs3)) 0.50/0.96 (define @t214 () (@list @v.1.Zs3)) 0.50/0.96 (define @t215 () (_ tptp.append_node @v.1.Ys)) 0.50/0.96 (define @t216 () (_ @t215 @t212)) 0.50/0.96 (define @t217 () (_ tptp.suffix_node @v.1.Xs)) 0.50/0.96 (define @t218 () (@list @v.1.Xs @v.1.Ys @v.0.Y)) 0.50/0.96 (define @t219 () (@list @v.0.Xs3 @v.1.Ys2)) 0.50/0.96 (define @t220 () (= tptp.suffix_node (lambda @t219 (exists @t214 (= @v.1.Ys2 (_ @t213 @v.0.Xs3)))))) 0.50/0.96 (define @t221 () (@list @v.1.Xs @v.1.Ys)) 0.50/0.96 (define @t222 () (_ tptp.cons_node tptp.i)) 0.50/0.96 (define @t223 () (_ @t222 tptp.nil_node)) 0.50/0.96 (define @t224 () (_ tptp.append_node tptp.tmp)) 0.50/0.96 (define @t225 () (_ @t55 @v.0.Ns2)) 0.50/0.96 (define @t226 () (_ @t23 @v.0.N2)) 0.50/0.96 (define @t227 () (_ (_ @t27 (_ @t128 @t225)) @v.0.M)) 0.50/0.96 (define @t228 () (@list @v.0.G @v.0.N @v.0.Ns @v.0.N2 @v.0.Ns2 @v.0.M)) 0.50/0.96 (define @t229 () (forall @t228 (=> @t227 (_ (_ @t226 @t225) @v.0.M)))) 0.50/0.96 (define @t230 () (_ tptp.append_val @v.2.A)) 0.50/0.96 (define @t231 () (_ tptp.append_node @v.0.Zs)) 0.50/0.96 (define @t232 () (_ tptp.append_node @v.0.Xs1)) 0.50/0.96 (define @t233 () (_ (_ tptp.cons_val @v.3.A) tptp.nil_val)) 0.50/0.96 (define @t234 () (= @v.2.L2 tptp.nil_val)) 0.50/0.96 (define @t235 () (and @t234 (= @v.2.L1 @t233))) 0.50/0.96 (define @t236 () (_ tptp.append_val @v.2.L1)) 0.50/0.96 (define @t237 () (_ @t236 @v.2.L2)) 0.50/0.96 (define @t238 () (= @t233 @t237)) 0.50/0.96 (define @t239 () (= @v.2.L1 tptp.nil_val)) 0.50/0.96 (define @t240 () (not @t239)) 0.50/0.96 (define @t241 () (_ tptp.append_node @v.0.Us)) 0.50/0.96 (define @t242 () (_ tptp.prefix_node tptp.ri)) 0.50/0.96 (define @t243 () (_ @t61 tptp.phi_r)) 0.50/0.96 (define @t244 () (_ tptp.member_val @v.0.E3)) 0.50/0.96 (define @t245 () (_ tptp.cons_val @v.0.E3)) 0.50/0.96 (define @t246 () (_ tptp.set_val2 @v.2.A)) 0.50/0.96 (define @t247 () (_ tptp.member_val @v.1.Y)) 0.50/0.96 (define @t248 () (and @t105 (= @v.0.E @v.1.E3) @t107)) 0.50/0.96 (define @t249 () (_ (_ tptp.cons_list_node @v.1.E3) tptp.nil_list_node)) 0.50/0.96 (define @t250 () (_ @t109 (_ (_ tptp.cons_list_node @v.0.E) @v.0.L2))) 0.50/0.96 (define @t251 () (_ tptp.member_node @v.2.E3)) 0.50/0.96 (define @t252 () (_ tptp.cons_node @v.2.E3)) 0.50/0.96 (define @t253 () (_ tptp.set_node2 @v.0.A)) 0.50/0.96 (define @t254 () (_ tptp.hd_node @v.1.Xs)) 0.50/0.96 (define @t255 () (_ tptp.append_node tptp.nil_node)) 0.50/0.96 (define @t256 () (_ @t255 @v.1.Ys)) 0.50/0.96 (define @t257 () (= @v.1.Xs @v.1.Ys)) 0.50/0.96 (define @t258 () (_ tptp.butlast_val @t124)) 0.50/0.96 (define @t259 () (= @v.0.Ys tptp.nil_val)) 0.50/0.96 (define @t260 () (_ tptp.butlast_val @v.0.Ys)) 0.50/0.96 (define @t261 () (exists @t101 (and @t99 @t100))) 0.50/0.96 (define @t262 () (_ tptp.set_node2 @v.1.Ys)) 0.50/0.96 (define @t263 () (_ @t31 @t15)) 0.50/0.96 (define @t264 () (_ tptp.hd_node @t145)) 0.50/0.96 (define @t265 () (=> @t151 (= @t264 @t254))) 0.50/0.96 (define @t266 () (_ tptp.append_node @v.0.L12)) 0.50/0.96 (define @t267 () (@list @v.0.L12 @v.0.L22)) 0.50/0.96 (define @t268 () (_ tptp.set_node2 @v.1.L)) 0.50/0.96 (define @t269 () (_ tptp.set_node2 @v.0.Ns4)) 0.50/0.96 (define @t270 () (_ tptp.butlast_node @v.0.Ns4)) 0.50/0.96 (define @t271 () (_ @t27 @v.0.Ns4)) 0.50/0.96 (define @t272 () (@list @v.0.Ns4)) 0.50/0.96 (define @t273 () (not (_ @t98 @t209))) 0.50/0.96 (define @t274 () (@list @v.2.X3)) 0.50/0.96 (define @t275 () (or @t163 (exists @t274 (= @v.2.Xs (_ (_ tptp.cons_list_node @v.2.X3) tptp.nil_list_node))))) 0.50/0.96 (define @t276 () (_ tptp.tl_list_node @v.2.Xs)) 0.50/0.96 (define @t277 () (@list @v.2.Xs)) 0.50/0.96 (define @t278 () (_ (_ (_ @v.5.P @v.2.A0) @v.0.A1) @v.0.A22)) 0.50/0.96 (define @t279 () (_ (_ tptp.cons_node @v.0.V) @v.0.Va)) 0.50/0.96 (define @t280 () (_ @v.5.P @v.0.P2)) 0.50/0.96 (define @t281 () (_ @t280 tptp.nil_node)) 0.50/0.96 (define @t282 () (@list @v.0.P2 @v.0.V @v.0.Va)) 0.50/0.96 (define @t283 () (@list @v.0.P2)) 0.50/0.96 (define @t284 () (@list @v.5.P @v.2.A0 @v.0.A1 @v.0.A22)) 0.50/0.96 (define @t285 () (_ tptp.butlast_node @v.1.Xs)) 0.50/0.96 (define @t286 () (_ tptp.butlast_node @t145)) 0.50/0.96 (define @t287 () (= @v.1.Ys tptp.nil_node)) 0.50/0.96 (define @t288 () (_ tptp.butlast_node @v.1.Ys)) 0.50/0.96 (define @t289 () (not @t287)) 0.50/0.96 (define @t290 () (@list @v.1.Ys @v.1.Xs)) 0.50/0.96 (define @t291 () (not (= @v.0.Ns tptp.nil_node))) 0.50/0.96 (define @t292 () (_ tptp.suffix_node @v.2.X)) 0.50/0.96 (define @t293 () (_ @t292 @v.2.Y)) 0.50/0.96 (define @t294 () (= @v.2.X @v.2.Y)) 0.50/0.96 (define @t295 () (@list @v.2.X @v.2.Y)) 0.50/0.96 (define @t296 () (_ @v.6.P @v.0.N)) 0.50/0.96 (define @t297 () (_ (_ @t296 @v.0.Ns) @v.0.M)) 0.50/0.96 (define @t298 () (@list @v.0.G @v.0.N @v.0.Ns @v.0.M @v.6.P)) 0.50/0.96 (define @t299 () (_ tptp.set_node2 @v.0.Zs2)) 0.50/0.96 (define @t300 () (forall @t90 (=> (_ @t89 @t299) @t87))) 0.50/0.96 (define @t301 () (@list @v.0.Ys3 @v.0.X4 @v.0.Zs2)) 0.50/0.96 (define @t302 () (_ tptp.suffix_node @v.0.Xs_2)) 0.50/0.96 (define @t303 () (_ tptp.suffix_node @v.0.Xs_1)) 0.50/0.96 (define @t304 () (_ @t211 @v.1.Ys)) 0.50/0.96 (define @t305 () (_ @t217 @v.1.Ys)) 0.50/0.96 (define @t306 () (_ @t217 @t304)) 0.50/0.96 (define @t307 () (_ (_ tptp.append_node @v.0.Ns2) @t127)) 0.50/0.96 (define @t308 () (_ tptp.hd_node @v.0.Ns)) 0.50/0.96 (define @t309 () (@list @v.1.X @v.1.Xs)) 0.50/0.96 (define @t310 () (not (= @v.1.L tptp.nil_node))) 0.50/0.96 (define @t311 () (@list @v.1.L)) 0.50/0.96 (define @t312 () (@list @v.0.G @v.0.Ns)) 0.50/0.96 (define @t313 () (not @t167)) 0.50/0.96 (define @t314 () (_ (_ (_ @t23 @v.0.M) @v.0.Ms) @v.2.L)) 0.50/0.96 (define @t315 () (@list @v.0.G @v.0.N @v.0.Ns @v.0.M @v.0.Ms @v.2.L)) 0.50/0.96 (define @t316 () (= @v.1.Ys @v.0.Zs)) 0.50/0.96 (define @t317 () (_ @t144 @v.0.Zs)) 0.50/0.96 (define @t318 () (@list @v.1.Xs @v.1.Ys @v.0.Zs)) 0.50/0.96 (define @t319 () (_ @t231 @v.1.Xs)) 0.50/0.96 (define @t320 () (_ @t215 @v.1.Xs)) 0.50/0.96 (define @t321 () (_ tptp.suffix_node @t320)) 0.50/0.96 (define @t322 () (@list @v.1.Ys @v.1.Xs @v.0.Zs)) 0.50/0.96 (define @t323 () (= @v.1.E1 @v.1.E12)) 0.50/0.96 (define @t324 () (= @v.1.E2 @v.1.E22)) 0.50/0.96 (define @t325 () (_ @t185 (_ (_ tptp.cons_node @v.1.E12) (_ (_ tptp.cons_node @v.1.E22) @v.1.L2)))) 0.50/0.96 (define @t326 () (_ (_ tptp.cons_node @v.1.E1) (_ (_ tptp.cons_node @v.1.E2) tptp.nil_node))) 0.50/0.96 (define @t327 () (_ tptp.append_node @v.1.Ys2)) 0.50/0.96 (define @t328 () (= @v.1.Xs (_ @t327 (_ @t17 @v.1.Zs3)))) 0.50/0.96 (define @t329 () (_ tptp.set_node2 @v.1.Ys2)) 0.50/0.96 (define @t330 () (@list @v.1.Ys2 @v.1.Zs3)) 0.50/0.96 (define @t331 () (= @v.0.A @v.0.B)) 0.50/0.96 (define @t332 () (_ tptp.suffix_node @v.0.B)) 0.50/0.96 (define @t333 () (_ @t332 @v.0.A)) 0.50/0.96 (define @t334 () (_ tptp.prefix_node @t145)) 0.50/0.96 (define @t335 () (_ tptp.cons_list_node @v.2.Y)) 0.50/0.96 (define @t336 () (_ tptp.append_list_node @v.2.Ys)) 0.50/0.96 (define @t337 () (not (= tptp.i @t243))) 0.50/0.96 (define @t338 () (_ (_ @v.7.P @v.2.A0) @v.0.A1)) 0.50/0.96 (define @t339 () (_ @v.7.P @v.0.P2)) 0.50/0.96 (define @t340 () (forall @t283 (_ @t339 tptp.nil_node))) 0.50/0.96 (define @t341 () (@list @v.7.P @v.2.A0 @v.0.A1)) 0.50/0.96 (define @t342 () (= @v.2.Ys tptp.nil_list_node)) 0.50/0.96 (define @t343 () (_ tptp.set_node2 @t285)) 0.50/0.96 (define @t344 () (_ (_ @v.4.P @v.1.Xs) @v.1.Ys)) 0.50/0.96 (define @t345 () (_ @t36 tptp.nil_node)) 0.50/0.96 (define @t346 () (_ @t93 @t345)) 0.50/0.96 (define @t347 () (_ (_ tptp.append_node @v.0.Xs2) @t42)) 0.50/0.96 (define @t348 () (_ @v.4.P @t347)) 0.50/0.96 (define @t349 () (_ @t348 @t346)) 0.50/0.96 (define @t350 () (_ @t201 @v.0.Ys3)) 0.50/0.96 (define @t351 () (=> @t350 @t349)) 0.50/0.96 (define @t352 () (@list @v.0.Y3 @v.0.Ys3)) 0.50/0.96 (define @t353 () (forall @t7 (_ @t348 tptp.nil_node))) 0.50/0.96 (define @t354 () (_ @t206 tptp.nil_node)) 0.50/0.96 (define @t355 () (@list @v.4.P @v.1.Xs @v.1.Ys)) 0.50/0.96 (define @t356 () (not (_ (_ tptp.suffix_node @v.0.Ps2) @v.0.Ls))) 0.50/0.96 (define @t357 () (_ tptp.append_node tptp.ri)) 0.50/0.96 (define @t358 () (not @t163)) 0.50/0.96 (define @t359 () (_ @t17 @v.0.Ns_2)) 0.50/0.96 (define @t360 () (_ @t17 tptp.nil_node)) 0.50/0.96 (define @t361 () (_ @t21 @t360)) 0.50/0.96 (define @t362 () (_ (_ tptp.suffix_node @v.0.A4) @v.0.B4)) 0.50/0.96 (define @t363 () (_ (_ tptp.suffix_node @v.0.B4) @v.0.A4)) 0.50/0.96 (define @t364 () (@list @v.0.A4 @v.0.B4)) 0.50/0.96 (define @t365 () (lambda (@list @v.0.Y4 @v.0.Z) (= @v.0.Y4 @v.0.Z))) 0.50/0.96 (define @t366 () (_ tptp.member_node @v.2.L)) 0.50/0.96 (define @t367 () (not (= @v.2.A tptp.nil_val))) 0.50/0.96 (define @t368 () (_ @t222 tptp.rs_rest)) 0.50/0.96 (define @t369 () (_ @t224 @t368)) 0.50/0.96 (define @t370 () (_ tptp.append_val @v.1.L12)) 0.50/0.96 (define @t371 () (@list @v.1.L12 @v.1.L22)) 0.50/0.96 (define @t372 () (_ tptp.set_val2 @v.3.L)) 0.50/0.96 (define @t373 () (= (_ tptp.butlast_node @v.1.L) @t18)) 0.50/0.96 (define @t374 () (@list @v.1.L @v.1.X @v.1.Xs)) 0.50/0.96 (define @t375 () (_ tptp.member_node @t62)) 0.50/0.96 (define @t376 () (_ tptp.butlast_list_node @v.2.Xs)) 0.50/0.96 (define @t377 () (_ tptp.butlast_list_node @t165)) 0.50/0.96 (define @t378 () (@list @v.2.Ys @v.2.Xs)) 0.50/0.96 (define @t379 () (= @v.1.X @v.0.Y)) 0.50/0.96 (define @t380 () (_ @t144 @t360)) 0.50/0.96 (define @t381 () (@list @v.1.Xs @v.1.X @v.1.Ys @v.0.Y)) 0.50/0.96 (define @t382 () (= tptp.m tptp.i)) 0.50/0.96 (define @t383 () (not @t382)) 0.50/0.96 (define @t384 () (= @v.0.Ys @v.1.Zs)) 0.50/0.96 (define @t385 () (@list @v.0.Xs @v.0.Ys @v.1.Zs)) 0.50/0.96 (define @t386 () (_ @t215 @v.0.Zs)) 0.50/0.96 (define @t387 () (= @t18 @t386)) 0.50/0.96 (define @t388 () (_ tptp.set_node2 @v.1.Zs3)) 0.50/0.96 (define @t389 () (_ tptp.set_node2 @t270)) 0.50/0.96 (define @t390 () (_ tptp.member_node @v.0.M4)) 0.50/0.96 (define @t391 () (_ (_ tptp.prefix_node @v.0.Ns4) @v.0.Ns)) 0.50/0.96 (define @t392 () (= @v.1.L1 @t182)) 0.50/0.96 (define @t393 () (not @t183)) 0.50/0.96 (define @t394 () (_ tptp.suffix_node @t18)) 0.50/0.96 (define @t395 () (_ tptp.collect_node @v.2.P)) 0.50/0.96 (define @t396 () (_ tptp.cons_node @v.0.E4)) 0.50/0.96 (define @t397 () (_ @t396 tptp.nil_node)) 0.50/0.96 (define @t398 () (= @v.1.E @v.0.E3)) 0.50/0.96 (define @t399 () (_ @t245 tptp.nil_val)) 0.50/0.96 (define @t400 () (_ @t236 (_ (_ tptp.cons_val @v.1.E) @v.2.L2))) 0.50/0.96 (define @t401 () (= @v.2.L2 @t233)) 0.50/0.96 (define @t402 () (= @t237 @t233)) 0.50/0.96 (define @t403 () (not @t234)) 0.50/0.96 (define @t404 () (_ @v.2.P @v.0.X3)) 0.50/0.96 (define @t405 () (_ @v.0.P @v.1.Xs)) 0.50/0.96 (define @t406 () (_ tptp.cons_node @v.0.X1)) 0.50/0.96 (define @t407 () (@list @v.0.P @v.1.Xs)) 0.50/0.96 (define @t408 () (_ tptp.cons_list_node @v.2.X)) 0.50/0.96 (define @t409 () (_ @t164 (_ @t408 tptp.nil_list_node))) 0.50/0.96 (define @t410 () (_ @t36 @v.0.Zs2)) 0.50/0.96 (define @t411 () (not (= @v.0.Ys3 tptp.nil_node))) 0.50/0.96 (define @t412 () (not (= @v.0.Xs2 tptp.nil_node))) 0.50/0.96 (define @t413 () (_ @v.4.P @t42)) 0.50/0.96 (define @t414 () (_ @v.5.P @v.0.R)) 0.50/0.96 (define @t415 () (_ @t414 @v.0.Xs2)) 0.50/0.96 (define @t416 () (_ @t414 @t4)) 0.50/0.96 (define @t417 () (_ (_ @v.0.R @v.0.X4) @v.0.Y3)) 0.50/0.96 (define @t418 () (_ @t31 @t343)) 0.50/0.96 (define @t419 () (_ tptp.prefix_node @v.1.Xs)) 0.50/0.96 (define @t420 () (_ @t419 @v.1.Ys)) 0.50/0.96 (define @t421 () (@list @v.1.X @v.1.Xs @v.0.Y @v.1.Ys)) 0.50/0.96 (define @t422 () (@list @v.1.Xs @v.1.X)) 0.50/0.96 (define @t423 () (_ tptp.suffix_node @v.0.C)) 0.50/0.96 (define @t424 () (_ @t408 @v.2.Xs)) 0.50/0.96 (define @t425 () (_ tptp.butlast_list_node @t424)) 0.50/0.96 (define @t426 () (@list @v.2.Xs @v.2.X)) 0.50/0.96 (define @t427 () (_ @t31 @t268)) 0.50/0.96 (define @t428 () (_ tptp.tl_val @v.1.List)) 0.50/0.96 (define @t429 () (_ tptp.hd_val @v.1.List)) 0.50/0.96 (define @t430 () (= @v.1.List tptp.nil_val)) 0.50/0.96 (define @t431 () (not @t430)) 0.50/0.96 (define @t432 () (@list @v.2.A)) 0.50/0.96 (define @t433 () (_ tptp.append_node @v.0.Ps)) 0.50/0.96 (define @t434 () (_ (_ tptp.append_node @v.0.Ys4) @v.0.Zs)) 0.50/0.96 (define @t435 () (_ @t17 @v.0.Ys4)) 0.50/0.96 (define @t436 () (@list @v.0.Ys4)) 0.50/0.96 (define @t437 () (@list @v.1.X @v.1.Xs @v.1.Ys @v.0.Zs)) 0.50/0.96 (define @t438 () (_ tptp.hd_list_node @v.2.Xs)) 0.50/0.96 (define @t439 () (= @v.0.List2 tptp.nil_node)) 0.50/0.96 (define @t440 () (@list @v.0.N @v.0.G)) 0.50/0.96 (define @t441 () (=> (_ @t332 @v.0.C) @t132)) 0.50/0.96 (define @t442 () (= @v.0.Zs @t18)) 0.50/0.96 (define @t443 () (=> (=> @t287 (not @t442)) (not (forall (@list @v.0.Ys5) (=> (= @v.1.Ys (_ @t17 @v.0.Ys5)) (not (= (_ (_ tptp.append_node @v.0.Ys5) @v.0.Zs) @v.1.Xs))))))) 0.50/0.96 (define @t444 () (= @t386 @t18)) 0.50/0.96 (define @t445 () (@list @v.1.Ys @v.0.Zs @v.1.X @v.1.Xs)) 0.50/0.96 (define @t446 () (= @t176 @t178)) 0.50/0.96 (define @t447 () (= @t9 tptp.nil_val)) 0.50/0.96 (define @t448 () (not (_ (_ (_ @t63 tptp.i) @t368) tptp.pred_phi_r))) 0.50/0.96 (define @t449 () (and (= @v.2.E2 @v.2.E22) @t234 (= @v.2.E1 @v.2.E12) @t239)) 0.50/0.96 (define @t450 () (_ (_ tptp.cons_val @v.2.E1) (_ (_ tptp.cons_val @v.2.E2) tptp.nil_val))) 0.50/0.96 (define @t451 () (_ @t236 (_ (_ tptp.cons_val @v.2.E12) (_ (_ tptp.cons_val @v.2.E22) @v.2.L2)))) 0.50/0.96 (define @t452 () (_ (_ tptp.cons_list_node @v.2.X21) @v.2.X22)) 0.50/0.96 (define @t453 () (_ tptp.tl_list_node @v.2.List)) 0.50/0.96 (define @t454 () (_ tptp.hd_list_node @v.2.List)) 0.50/0.96 (define @t455 () (= @v.2.List tptp.nil_list_node)) 0.50/0.96 (define @t456 () (not @t455)) 0.50/0.96 (define @t457 () (and @t287 @t65)) 0.50/0.96 (define @t458 () (_ (_ @v.0.R3 @v.0.X4) @v.0.Y3)) 0.50/0.96 (define @t459 () (= @t276 tptp.nil_list_node)) 0.50/0.96 (define @t460 () (_ tptp.butlast_node @t18)) 0.50/0.96 (define @t461 () (= @v.2.X tptp.nil_node)) 0.50/0.96 (define @t462 () (@list @v.2.X)) 0.50/0.96 (define @t463 () (@list @v.1.Xs @v.0.P)) 0.50/0.96 (define @t464 () (_ @t58 @v.0.A)) 0.50/0.96 (define @t465 () (@list @v.0.G @v.0.A)) 0.50/0.96 (define @t466 () (_ tptp.append_node @v.0.A)) 0.50/0.96 (define @t467 () (exists @t154 (= @v.0.Xs (_ (_ tptp.cons_val @v.1.X3) tptp.nil_val)))) 0.50/0.96 (define @t468 () (_ tptp.append_val @v.1.L22)) 0.50/0.96 (define @t469 () (@list @v.1.L12 @v.1.L22 @v.0.L3)) 0.50/0.96 (define @t470 () (not @t49)) 0.50/0.96 (define @t471 () (_ @t10 @t372)) 0.50/0.96 (define @t472 () (not @t100)) 0.50/0.96 (define @t473 () (exists @t101 (and @t100 (_ @t98 @t30)))) 0.50/0.96 (define @t474 () (@list @v.0.G @v.0.N @v.0.Ns @v.0.M @v.2.P)) 0.50/0.96 (define @t475 () (=> @t75 @t77)) 0.50/0.96 (define @t476 () (_ @t79 @v.0.N)) 0.50/0.96 (define @t477 () (and (= @v.0.L1 @t176) @t105)) 0.50/0.96 (define @t478 () (not @t107)) 0.50/0.96 (define @t479 () (_ tptp.cons_node @v.0.M)) 0.50/0.96 (define @t480 () (_ @t479 tptp.nil_node)) 0.50/0.96 (define @t481 () (_ @t479 @v.0.Ns2)) 0.50/0.96 (define @t482 () (_ @t58 (_ @t128 @t481))) 0.50/0.96 (define @t483 () (@list @v.0.G @v.0.Ns @v.0.M @v.0.Ns2)) 0.50/0.96 (define @t484 () (_ @t131 tptp.nil_node)) 0.50/0.96 (define @t485 () (_ tptp.suffix_node @v.2.Y)) 0.50/0.96 (define @t486 () (=> @t6 (_ @v.0.P @t347))) 0.50/0.96 (define @t487 () (_ tptp.suffix_node tptp.nil_node)) 0.50/0.96 (define @t488 () (_ @t10 (_ tptp.set_val2 @t113))) 0.50/0.96 (define @t489 () (= @v.1.List2 tptp.nil_val)) 0.50/0.96 (define @t490 () (_ @t485 @v.2.X)) 0.50/0.96 (define @t491 () (= @v.1.Xs (_ @t93 (_ @t17 @v.0.Zs2)))) 0.50/0.96 (define @t492 () (@list @v.0.Ys3 @v.0.Zs2)) 0.50/0.96 (define @t493 () (= @v.2.E @v.2.E3)) 0.50/0.96 (define @t494 () (_ @t185 (_ (_ tptp.cons_node @v.2.E) @v.1.L2))) 0.50/0.96 (define @t495 () (_ @t252 tptp.nil_node)) 0.50/0.96 (define @t496 () (= @v.1.Xs (_ @t327 (_ @t66 @v.1.Zs3)))) 0.50/0.96 (define @t497 () (not (_ @v.2.P @v.1.Y2))) 0.50/0.96 (define @t498 () (_ tptp.member_node @v.1.Y2)) 0.50/0.96 (define @t499 () (@list @v.1.Y2)) 0.50/0.96 (define @t500 () (exists @t68 (and @t404 @t194))) 0.50/0.96 (define @t501 () (_ tptp.tl_node @v.0.Ns)) 0.50/0.96 (define @t502 () (_ tptp.hd_node @t501)) 0.50/0.96 (define @t503 () (= @v.0.X4 @v.0.A3)) 0.50/0.96 (define @t504 () (= @v.0.Ls @t347)) 0.50/0.96 (define @t505 () (= @v.0.Ps2 (_ (_ tptp.append_node @v.0.As) (_ @t45 tptp.nil_node)))) 0.50/0.96 (define @t506 () (= @t186 @t182)) 0.50/0.96 (define @t507 () (_ tptp.append_node @v.0.L22)) 0.50/0.96 (define @t508 () (@list @v.0.L12 @v.0.L22 @v.1.L3)) 0.50/0.96 (define @t509 () (not @t379)) 0.50/0.96 (define @t510 () (_ @v.4.P @v.0.W13)) 0.50/0.96 (define @t511 () (= @v.2.List2 tptp.nil_list_node)) 0.50/0.96 (define @t512 () (const 0 (@ho-elim-sort (-> tptp.node tptp.list_node tptp.list_node)))) 0.50/0.96 (define @t513 () (const 1 (-> (@ho-elim-sort (-> tptp.node tptp.list_node tptp.list_node)) tptp.node (@ho-elim-sort (-> tptp.list_node tptp.list_node))))) 0.50/0.96 (define @t514 () (const 2 (-> (@ho-elim-sort (-> tptp.list_node tptp.list_node)) tptp.list_node tptp.list_node))) 0.50/0.96 (define @t515 () (_ @t514 (_ @t513 @t512 @v.0.N2) @v.0.Ns2)) 0.50/0.96 (define @t516 () (const 5 (@ho-elim-sort (-> tptp.g tptp.list_node)))) 0.50/0.96 (define @t517 () (_ (const 9 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.g tptp.node tptp.list_P561207620_edgeD)) tptp.g tptp.node tptp.list_node tptp.node Bool)) (@ho-elim-sort (-> tptp.g tptp.node tptp.list_P561207620_edgeD)) (@ho-elim-sort (-> tptp.g tptp.node tptp.list_node tptp.node Bool)))) (_ (const 8 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.g Bool)) (@ho-elim-sort (-> tptp.g tptp.node tptp.list_P561207620_edgeD)) tptp.g tptp.node tptp.list_node tptp.node Bool)) (@ho-elim-sort (-> tptp.g Bool)) (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.g tptp.node tptp.list_P561207620_edgeD)) tptp.g tptp.node tptp.list_node tptp.node Bool)))) (_ (const 7 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.g tptp.list_node)) (@ho-elim-sort (-> tptp.g Bool)) (@ho-elim-sort (-> tptp.g tptp.node tptp.list_P561207620_edgeD)) tptp.g tptp.node tptp.list_node tptp.node Bool)) (@ho-elim-sort (-> tptp.g tptp.list_node)) (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.g Bool)) (@ho-elim-sort (-> tptp.g tptp.node tptp.list_P561207620_edgeD)) tptp.g tptp.node tptp.list_node tptp.node Bool)))) (const 6 (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.g tptp.list_node)) (@ho-elim-sort (-> tptp.g Bool)) (@ho-elim-sort (-> tptp.g tptp.node tptp.list_P561207620_edgeD)) tptp.g tptp.node tptp.list_node tptp.node Bool))) @t516) (const 4 (@ho-elim-sort (-> tptp.g Bool)))) (const 3 (@ho-elim-sort (-> tptp.g tptp.node tptp.list_P561207620_edgeD))))) 0.50/0.96 (define @t518 () (const 10 (-> (@ho-elim-sort (-> tptp.g tptp.node tptp.list_node tptp.node Bool)) tptp.g (@ho-elim-sort (-> tptp.node tptp.list_node tptp.node Bool))))) 0.50/0.96 (define @t519 () (_ @t518 @t517 @v.0.G)) 0.50/0.96 (define @t520 () (const 11 (-> (@ho-elim-sort (-> tptp.node tptp.list_node tptp.node Bool)) tptp.node (@ho-elim-sort (-> tptp.list_node tptp.node Bool))))) 0.50/0.96 (define @t521 () (const 12 (-> (@ho-elim-sort (-> tptp.list_node tptp.node Bool)) tptp.list_node (@ho-elim-sort (-> tptp.node Bool))))) 0.50/0.96 (define @t522 () (const 13 (-> (@ho-elim-sort (-> tptp.node Bool)) tptp.node Bool))) 0.50/0.96 (define @t523 () (const 14 (@ho-elim-sort (-> tptp.list_node tptp.list_node tptp.list_node)))) 0.50/0.96 (define @t524 () (const 15 (-> (@ho-elim-sort (-> tptp.list_node tptp.list_node tptp.list_node)) tptp.list_node (@ho-elim-sort (-> tptp.list_node tptp.list_node))))) 0.50/0.96 (define @t525 () (forall @t228 (or (not (_ @t522 (_ @t521 (_ @t520 @t519 @v.0.N) (_ @t514 (_ @t524 @t523 @v.0.Ns) @t515)) @v.0.M)) (_ @t522 (_ @t521 (_ @t520 @t519 @v.0.N2) @t515) @v.0.M)))) 0.50/0.96 (define @t526 () (tptp.cons_node @v.0.N2 @v.0.Ns2)) 0.50/0.96 (define @t527 () (forall @t228 (or (not (tptp.graph_1012773594_edgeD tptp.alpha_n tptp.invar tptp.inEdges @v.0.G @v.0.N (tptp.append_node @v.0.Ns @t526) @v.0.M)) (tptp.graph_1012773594_edgeD tptp.alpha_n tptp.invar tptp.inEdges @v.0.G @v.0.N2 @t526 @v.0.M)))) 0.50/0.96 (define @t528 () (_ @t514 (_ @t513 @t512 tptp.i) tptp.rs_rest)) 0.50/0.96 (define @t529 () (_ (const 23 (-> (@ho-elim-sort (-> tptp.val tptp.node)) tptp.val tptp.node)) (_ (const 22 (-> (@ho-elim-sort (-> tptp.g tptp.val tptp.node)) tptp.g (@ho-elim-sort (-> tptp.val tptp.node)))) (_ (const 21 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.g tptp.produc1432036078de_val tptp.option_list_val)) tptp.g tptp.val tptp.node)) (@ho-elim-sort (-> tptp.g tptp.produc1432036078de_val tptp.option_list_val)) (@ho-elim-sort (-> tptp.g tptp.val tptp.node)))) (_ (const 20 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.g tptp.node tptp.set_val)) (@ho-elim-sort (-> tptp.g tptp.produc1432036078de_val tptp.option_list_val)) tptp.g tptp.val tptp.node)) (@ho-elim-sort (-> tptp.g tptp.node tptp.set_val)) (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.g tptp.produc1432036078de_val tptp.option_list_val)) tptp.g tptp.val tptp.node)))) (_ (const 19 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.g tptp.list_node)) (@ho-elim-sort (-> tptp.g tptp.node tptp.set_val)) (@ho-elim-sort (-> tptp.g tptp.produc1432036078de_val tptp.option_list_val)) tptp.g tptp.val tptp.node)) (@ho-elim-sort (-> tptp.g tptp.list_node)) (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.g tptp.node tptp.set_val)) (@ho-elim-sort (-> tptp.g tptp.produc1432036078de_val tptp.option_list_val)) tptp.g tptp.val tptp.node)))) (const 18 (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.g tptp.list_node)) (@ho-elim-sort (-> tptp.g tptp.node tptp.set_val)) (@ho-elim-sort (-> tptp.g tptp.produc1432036078de_val tptp.option_list_val)) tptp.g tptp.val tptp.node))) @t516) (const 17 (@ho-elim-sort (-> tptp.g tptp.node tptp.set_val)))) (const 16 (@ho-elim-sort (-> tptp.g tptp.produc1432036078de_val tptp.option_list_val)))) tptp.g2) tptp.r)) 0.50/0.96 (define @t530 () (_ @t518 @t517 tptp.g2)) 0.50/0.96 (define @t531 () (_ @t522 (_ @t521 (_ @t520 @t530 @t529) (_ @t514 (_ @t524 @t523 tptp.tmp) @t528)) tptp.pred_phi_r)) 0.50/0.96 (define @t532 () (_ (_ @t64 @t369) tptp.pred_phi_r)) 0.50/0.96 (define @t533 () (_ @t522 (_ @t521 (_ @t520 @t530 tptp.i) @t528) tptp.pred_phi_r)) 0.50/0.96 (define @t534 () (not @t531)) 0.50/0.96 (define @t535 () (or @t534 @t533)) 0.50/0.96 (define @t536 () (not @t535)) 0.50/0.96 (assume @p1 (forall @t8 (=> (forall @t7 (=> (forall (@list @v.0.X213 @v.0.X223) (=> (= @v.0.Xs2 (_ (_ tptp.cons_node @v.0.X213) @v.0.X223)) @t6)) @t5)) (=> @t2 @t1)))) 0.50/0.96 (assume @p2 (forall @t14 (=> (not (= @v.0.X @t13)) (=> @t12 (_ @t10 (_ tptp.set_val2 @t9)))))) 0.50/0.96 (assume @p3 (forall (@list @v.0.Y @v.1.X @v.1.Xs) (=> (_ @t16 @t19) (or (_ @t16 @t15) (= @v.0.Y @v.1.X))))) 0.50/0.96 (assume @p4 (forall @t35 (=> @t34 (=> @t32 (not (forall @t29 (=> @t28 (forall @t26 (=> @t25 (=> (= @v.0.Ns (_ @t21 (_ tptp.tl_node @v.0.Ns_2))) @t20)))))))))) 0.50/0.96 (assume @p5 (forall @t8 (=> @t2 (=> @t44 (=> (forall @t41 (=> (=> @t39 @t5) (=> (=> @t40 (_ @v.0.P @t37)) (_ @v.0.P @t38)))) @t1))))) 0.50/0.96 (assume @p6 (forall (@list @v.1.P @v.1.A0 @v.0.A1 @v.0.A22) (=> (forall (@list @v.0.F @v.0.X_1) (_ (_ @t47 tptp.nil_node) @v.0.X_1)) (=> (forall (@list @v.0.F @v.0.A3 @v.0.As @v.0.Bs) (=> (_ (_ @t47 @v.0.As) (_ (_ tptp.cons_node (_ @v.0.F @v.0.A3)) @v.0.Bs)) (_ (_ @t47 @t46) @v.0.Bs))) (_ (_ (_ @v.1.P @v.1.A0) @v.0.A1) @v.0.A22))))) 0.50/0.96 (assume @p7 (not (_ @t48 (_ tptp.set_node2 (_ tptp.butlast_node tptp.ms2))))) 0.50/0.96 (assume @p8 (forall (@list @v.0.Xs @v.0.X @v.0.Ys @v.1.Y) (= (= @t54 (_ @t51 (_ @t50 tptp.nil_val))) (and (= @v.0.Xs @v.0.Ys) @t49)))) 0.50/0.96 (assume @p9 (forall (@list @v.0.G @v.0.N @v.0.N2 @v.0.Ns @v.0.Ms) (=> (_ @t58 (_ @t57 @t59)) (=> (=> @t60 (_ @t58 @t56)) (_ @t58 (_ @t57 @t56)))))) 0.50/0.96 (assume @p10 (_ (_ @t64 tptp.ri) tptp.i)) 0.50/0.96 (assume @p11 (forall @t72 (= @t71 (or @t69 @t65)))) 0.50/0.96 (assume @p12 (forall @t81 (=> @t80 (=> @t77 (=> @t75 (_ @t74 @t73)))))) 0.50/0.96 (assume @p13 (forall @t84 (=> @t83 (= (_ (_ tptp.cons_val @t13) @t9) @v.0.Xs)))) 0.50/0.96 (assume @p14 (forall (@list @v.0.G @v.0.N @v.0.Ns) (=> (_ @t58 (_ @t57 @v.0.Ns)) @t86))) 0.50/0.96 (assume @p15 (forall @t103 (=> @t102 (not (forall @t97 (=> @t96 (=> @t92 (not @t91)))))))) 0.50/0.96 (assume @p16 (forall (@list @v.0.L1 @v.0.E12 @v.0.E22 @v.0.L2 @v.0.E1 @v.0.E2) (= (= @t110 @t108) (and @t107 @t106 @t105 @t104)))) 0.50/0.96 (assume @p17 (forall @t114 (and (=> @t83 (= @t112 (_ @t52 @t113))) (=> @t82 (= @t112 tptp.nil_val))))) 0.50/0.96 (assume @p18 (forall (@list @v.0.X21 @v.0.X22 @v.0.Y21 @v.0.Y22) (= (= @t115 (_ (_ tptp.cons_val @v.0.Y21) @v.0.Y22)) (and (= @v.0.X21 @v.0.Y21) (= @v.0.X22 @v.0.Y22))))) 0.50/0.96 (assume @p19 (forall @t117 (= (_ tptp.hd_node @t116) @v.1.X21))) 0.50/0.96 (assume @p20 (forall @t119 (_ (_ tptp.member_val @v.0.X21) @t118))) 0.50/0.96 (assume @p21 (_ (_ (_ (_ (_ (_ tptp.sSA_CF1252180629de_val tptp.alpha_n) tptp.defs) tptp.phis) tptp.g2) tptp.phi_r) tptp.r)) 0.50/0.96 (assume @p22 (forall @t117 (_ (_ tptp.member_node @v.1.X21) @t120))) 0.50/0.96 (assume @p23 (forall (@list @v.0.L @v.2.X) (=> (not (= @v.0.L tptp.nil_list_node)) (= (or (_ @t121 (_ tptp.set_list_node2 (_ tptp.tl_list_node @v.0.L))) (= @v.2.X (_ tptp.hd_list_node @v.0.L))) (_ @t121 (_ tptp.set_list_node2 @v.0.L)))))) 0.50/0.96 (assume @p24 (forall @t14 (=> @t12 (exists @t123 @t122)))) 0.50/0.96 (assume @p25 (forall @t125 (= (= @v.0.Ys @t124) @t82))) 0.50/0.96 (assume @p26 (forall @t126 (= (= @t124 @v.0.Ys) @t82))) 0.50/0.96 (assume @p27 (forall @t130 (=> @t34 (=> (_ @t129 (_ tptp.set_node2 (_ @t79 @v.0.M4))) (_ (_ @t27 (_ @t128 @t127)) @v.0.M4))))) 0.50/0.96 (assume @p28 (forall @t134 (=> @t133 (=> (= @v.0.B @v.0.C) @t132)))) 0.50/0.96 (assume @p29 (forall (@list @v.0.G @v.2.X @v.0.P) (=> (_ @t58 @v.2.X) (=> (forall @t142 (=> @t141 (=> @t75 (_ @v.0.P @t140)))) (=> (forall @t139 (=> @t138 (=> (_ @v.0.P @v.0.Ns3) (=> @t137 (_ @v.0.P @t135))))) (_ @v.0.P @v.2.X)))))) 0.50/0.96 (assume @p30 (forall (@list @v.3.X) (=> (not (= @v.3.X tptp.nil_list_node)) (=> (forall (@list @v.0.Xss) (not (= @v.3.X (_ (_ tptp.cons_list_node tptp.nil_node) @v.0.Xss)))) (not (forall (@list @v.0.X4 @v.0.Xs2 @v.0.Xss) (not (= @v.3.X (_ (_ tptp.cons_list_node @t4) @v.0.Xss))))))))) 0.50/0.96 (assume @p31 (forall @t8 (=> @t2 (=> (forall (@list @v.0.X4 @v.0.Ys3) (=> (_ @v.0.P @v.0.Ys3) (_ @v.0.P @t143))) @t1)))) 0.50/0.96 (assume @p32 (forall @t146 (= (_ (_ tptp.append_node @t18) @v.1.Ys) (_ @t17 @t145)))) 0.50/0.96 (assume @p33 (not (forall (@list @v.0.Ms2) (=> (_ (_ @t147 @v.0.Ms2) tptp.i) (=> (_ (_ tptp.prefix_node @v.0.Ms2) tptp.ms) (_ @t48 (_ tptp.set_node2 (_ tptp.butlast_node @v.0.Ms2)))))))) 0.50/0.96 (assume @p34 (forall @t152 (=> @t151 (=> @t150 (_ (_ tptp.ord_less_eq_set_node @t148) @v.0.A2))))) 0.50/0.96 (assume @p35 (forall (@list @v.0.Xs @v.0.B3) (= (_ (_ tptp.ord_less_eq_set_val @t11) @v.0.B3) (forall @t154 (=> (_ @t153 @t11) (_ @t153 @v.0.B3)))))) 0.50/0.96 (assume @p36 (forall @t14 (= @t12 (exists @t156 (and @t155 (not (_ @t10 (_ tptp.set_val2 @v.0.Zs3)))))))) 0.50/0.96 (assume @p37 (forall @t162 (=> @t161 (= @v.0.List @t159)))) 0.50/0.96 (assume @p38 (forall @t166 (= (= @t165 @v.2.Ys) @t163))) 0.50/0.96 (assume @p39 (forall @t169 (= (_ @t168 tptp.nil_node) @t167))) 0.50/0.96 (assume @p40 (forall (@list @v.0.C1 @v.0.Qs @v.0.C2 @v.0.C12 @v.0.Qs2 @v.0.C22) (=> (= (_ @t173 @t174) (_ @t175 @t171)) (=> (forall (@list @v.0.C21) (=> (= @v.0.C1 (_ @t175 (_ @t170 @v.0.C21))) (not (= @v.0.C22 (_ (_ tptp.append_node @v.0.C21) @t174))))) (=> (=> (= @v.0.C12 @v.0.C1) (=> (= @v.0.Qs2 @v.0.Qs) (not (= @v.0.C22 @v.0.C2)))) (not (forall (@list @v.0.C212) (=> (= @v.0.C12 (_ @t173 (_ @t172 @v.0.C212))) (not (= @v.0.C2 (_ (_ tptp.append_node @v.0.C212) @t171))))))))))) 0.50/0.96 (assume @p41 (forall (@list @v.0.L2 @v.0.L1 @v.0.A) (=> @t180 (= @t179 @t177)))) 0.50/0.96 (assume @p42 (forall (@list @v.3.P @v.0.Q) (=> (forall (@list @v.1.X4) (= (_ @v.3.P @v.1.X4) (_ @v.0.Q @v.1.X4))) (= @t181 (_ tptp.collect_val @v.0.Q))))) 0.50/0.96 (assume @p43 (forall (@list @v.1.L2 @v.1.A @v.1.L1) (=> @t189 (= @t187 @t184)))) 0.50/0.96 (assume @p44 (forall (@list @v.0.G @v.0.Ns @v.0.N) (=> @t191 (=> @t190 @t77)))) 0.50/0.96 (assume @p45 (forall @t192 (=> @t34 @t190))) 0.50/0.96 (assume @p46 (forall (@list @v.1.Xs @v.1.B3) (= (_ @t149 @v.1.B3) (forall @t68 (=> @t194 (_ @t193 @v.1.B3)))))) 0.50/0.96 (assume @p47 (forall @t208 (=> @t207 (=> @t205 (=> (forall @t203 (=> @t202 @t200)) @t195))))) 0.50/0.96 (assume @p48 (_ @t48 @t209)) 0.50/0.96 (assume @p49 @t210) 0.50/0.96 (assume @p50 (forall @t218 (= (_ @t217 @t216) (or (exists @t214 (and (_ (_ tptp.suffix_node @v.1.Zs3) @v.1.Ys) (= @v.1.Xs (_ @t213 @t212)))) @t65)))) 0.50/0.96 (assume @p51 @t220) 0.50/0.96 (assume @p52 (forall @t72 (= (= tptp.nil_node @t70) (or @t65 @t69)))) 0.50/0.96 (assume @p53 (forall @t221 (= (= @t145 @v.1.Ys) @t65))) 0.50/0.96 (assume @p54 (= tptp.ri (_ @t224 @t223))) 0.50/0.96 (assume @p55 @t229) 0.50/0.96 (assume @p56 (forall (@list @v.2.A @v.1.B @v.1.C) (= (_ (_ tptp.append_val (_ @t230 @v.1.B)) @v.1.C) (_ @t230 (_ (_ tptp.append_val @v.1.B) @v.1.C))))) 0.50/0.96 (assume @p57 (forall (@list @v.1.Xs @v.0.Xs1 @v.0.Zs @v.1.Ys @v.0.Us2) (=> (= (_ @t144 @v.0.Xs1) @v.0.Zs) (=> (= @v.1.Ys (_ @t232 @v.0.Us2)) (= @t145 (_ @t231 @v.0.Us2)))))) 0.50/0.96 (assume @p58 (forall (@list @v.2.L1 @v.3.A @v.2.L2) (=> @t240 (= @t238 @t235)))) 0.50/0.96 (assume @p59 (forall (@list @v.1.Xs @v.1.Ys @v.0.Zs @v.0.Ts) (= (= @t145 (_ @t231 @v.0.Ts)) (exists (@list @v.0.Us) (or (and (= (_ @t144 @v.0.Us) @v.0.Zs) (= @v.1.Ys (_ @t241 @v.0.Ts))) (and (= (_ @t241 @v.1.Ys) @v.0.Ts) (= @v.1.Xs (_ @t231 @v.0.Us)))))))) 0.50/0.96 (assume @p60 (_ @t242 tptp.rs2)) 0.50/0.96 (assume @p61 (_ (_ tptp.member_node tptp.pred_phi_r) (_ tptp.set_node2 (_ (_ @t78 tptp.g2) @t243)))) 0.50/0.96 (assume @p62 (forall (@list @v.0.E3 @v.2.A) (=> (_ @t244 @t246) (=> (forall (@list @v.0.Z2) (not (= @v.2.A (_ @t245 @v.0.Z2)))) (not (forall (@list @v.0.Z1 @v.0.Z2) (=> (= @v.2.A (_ (_ tptp.cons_val @v.0.Z1) @v.0.Z2)) (not (_ @t244 (_ tptp.set_val2 @v.0.Z2)))))))))) 0.50/0.96 (assume @p63 (forall (@list @v.1.Y @v.0.X22 @v.0.X21) (=> (_ @t247 (_ tptp.set_val2 @v.0.X22)) (_ @t247 @t118)))) 0.50/0.96 (assume @p64 (forall (@list @v.0.L1 @v.0.E @v.0.L2 @v.1.E3) (= (= @t250 @t249) @t248))) 0.50/0.96 (assume @p65 (forall (@list @v.2.E3 @v.0.A) (=> (_ @t251 @t253) (=> (forall (@list @v.1.Z2) (not (= @v.0.A (_ @t252 @v.1.Z2)))) (not (forall (@list @v.1.Z1 @v.1.Z2) (=> (= @v.0.A (_ (_ tptp.cons_node @v.1.Z1) @v.1.Z2)) (not (_ @t251 (_ tptp.set_node2 @v.1.Z2)))))))))) 0.50/0.96 (assume @p66 (= (_ tptp.tl_list_node tptp.nil_list_node) tptp.nil_list_node)) 0.50/0.96 (assume @p67 (forall @t72 (=> @t151 (_ (_ tptp.member_node @t254) @t15)))) 0.50/0.96 (assume @p68 (forall @t221 (=> @t257 (= @v.1.Xs @t256)))) 0.50/0.96 (assume @p69 (forall @t125 (and (=> (not @t259) (= @t258 (_ @t53 @t260))) (=> @t259 (= @t258 @t113))))) 0.50/0.96 (assume @p70 (forall @t103 (=> @t261 (exists @t97 (and @t92 @t96))))) 0.50/0.96 (assume @p71 (forall (@list @v.1.X @v.1.Xs @v.1.Ys @v.0.Xs4 @v.0.Ys6) (=> (not @t263) (=> (not (_ @t31 @t262)) (= (= (_ @t144 (_ @t17 @v.1.Ys)) (_ (_ tptp.append_node @v.0.Xs4) (_ @t17 @v.0.Ys6))) (and (= @v.1.Xs @v.0.Xs4) (= @v.1.Ys @v.0.Ys6))))))) 0.50/0.96 (assume @p72 (forall @t221 (and (=> @t65 (= @t264 (_ tptp.hd_node @v.1.Ys))) @t265))) 0.50/0.96 (assume @p73 (forall (@list @v.2.E3 @v.1.L) (=> (_ @t251 @t268) (not (forall @t267 (not (= @v.1.L (_ @t266 (_ @t252 @v.0.L22))))))))) 0.50/0.96 (assume @p74 (forall @t208 (=> @t207 (=> (forall (@list @v.0.X4 @v.0.Xs2 @v.0.Ys3) (=> (_ (_ @v.4.P @v.0.Ys3) @v.0.Xs2) @t199)) @t195)))) 0.50/0.96 (assume @p75 (= tptp.rs2 (_ (_ tptp.append_node tptp.rs) (_ (_ tptp.cons_node @t243) tptp.nil_node)))) 0.50/0.96 (assume @p76 (forall (@list @v.0.G @v.0.N @v.0.Ns @v.0.N2) (=> (_ @t33 @v.0.N) (=> (_ @t74 @t30) (not (forall @t272 (=> (_ @t271 @v.0.N) (=> (_ @t74 @t269) (=> (not (_ @t76 (_ tptp.set_node2 (_ tptp.tl_node @t270)))) (not (_ (_ tptp.ord_less_eq_set_node @t269) @t30))))))))))) 0.50/0.96 (assume @p77 (not (forall (@list @v.0.I @v.0.Ri) (=> (_ (_ @t64 @v.0.Ri) @v.0.I) (=> (_ (_ tptp.member_node @v.0.I) @t209) (=> (forall @t101 (=> (_ @t98 (_ tptp.set_node2 (_ tptp.butlast_node @v.0.Ri))) @t273)) (not (_ (_ tptp.prefix_node @v.0.Ri) tptp.rs2)))))))) 0.50/0.96 (assume @p78 (forall @t277 (= (= tptp.nil_list_node @t276) @t275))) 0.50/0.96 (assume @p79 (forall @t284 (=> (forall @t283 (_ @t281 tptp.nil_node)) (=> (forall (@list @v.0.P2 @v.0.A3 @v.0.As @v.0.B2 @v.0.Bs) (=> (_ (_ @t280 @v.0.As) @v.0.Bs) (_ (_ @t280 @t46) (_ (_ tptp.cons_node @v.0.B2) @v.0.Bs)))) (=> (forall @t282 (_ (_ @t280 @t279) tptp.nil_node)) (=> (forall @t282 (_ @t281 @t279)) @t278)))))) 0.50/0.96 (assume @p80 (forall @t84 (=> @t83 (_ (_ tptp.member_val @t13) @t11)))) 0.50/0.96 (assume @p81 (forall @t228 (=> @t227 (_ (_ @t27 (_ @t128 (_ @t55 tptp.nil_node))) @v.0.N2)))) 0.50/0.96 (assume @p82 (not (= @t243 @t62))) 0.50/0.96 (assume @p83 (forall @t290 (and (=> @t289 (= @t286 (_ @t144 @t288))) (=> @t287 (= @t286 @t285))))) 0.50/0.96 (assume @p84 (forall @t192 (=> @t34 @t291))) 0.50/0.96 (assume @p85 (forall @t295 (=> @t294 @t293))) 0.50/0.96 (assume @p86 (forall @t298 (=> @t34 (=> (=> @t77 (_ (_ @t296 @t85) @v.0.N)) (=> (forall (@list @v.0.Ns3 @v.0.M2 @v.0.M3) (=> (_ (_ @t27 @v.0.Ns3) @v.0.M2) (=> (_ (_ @t296 @v.0.Ns3) @v.0.M2) (=> (_ (_ tptp.member_node @v.0.M2) (_ tptp.set_node2 (_ @t79 @v.0.M3))) (_ (_ @t296 (_ (_ tptp.append_node @v.0.Ns3) (_ (_ tptp.cons_node @v.0.M3) tptp.nil_node))) @v.0.M3))))) @t297))))) 0.50/0.96 (assume @p87 (forall @t103 (=> @t261 (exists @t301 (and @t92 @t300 @t94))))) 0.50/0.96 (assume @p88 (forall (@list @v.0.Xs_1 @v.1.Ys @v.0.Xs_2) (=> (_ @t303 @v.1.Ys) (=> (_ @t302 @v.1.Ys) (or (_ @t303 @v.0.Xs_2) (_ @t302 @v.0.Xs_1)))))) 0.50/0.96 (assume @p89 (forall @t84 (= (_ tptp.butlast_val @t9) (_ tptp.tl_val @t113)))) 0.50/0.96 (assume @p90 (forall (@list @v.1.Xs @v.0.Y @v.1.Ys) (= @t306 (or @t305 (= @v.1.Xs @t304))))) 0.50/0.96 (assume @p91 (forall @t221 @t265)) 0.50/0.96 (assume @p92 (forall (@list @v.0.G @v.0.N @v.0.Ns @v.0.M @v.0.Ns2 @v.0.M4) (=> @t34 (=> (_ (_ tptp.prefix_node @t307) @v.0.Ns) (_ (_ @t27 @t307) @v.0.M4))))) 0.50/0.96 (assume @p93 (forall @t192 (=> @t34 (_ @t129 @t30)))) 0.50/0.96 (assume @p94 (forall (@list @v.0.G @v.0.Ns @v.0.N2) (=> @t191 (=> (_ @t74 (_ tptp.set_node2 (_ @t79 @t308))) @t60)))) 0.50/0.96 (assume @p95 (forall @t309 (not (= @t18 @v.1.Xs)))) 0.50/0.96 (assume @p96 (forall @t311 (=> @t310 (not (forall @t7 (not (= @v.1.L @t4))))))) 0.50/0.96 (assume @p97 (forall @t312 (=> @t191 @t75))) 0.50/0.96 (assume @p98 (forall @t35 (=> @t34 (=> @t32 (not (forall @t29 (=> @t28 (forall @t26 (=> @t25 @t20))))))))) 0.50/0.96 (assume @p99 (forall (@list @v.0.A @v.1.X) (=> @t313 (=> (_ @t31 (_ tptp.set_node2 (_ tptp.tl_node @v.0.A))) (_ @t31 @t253))))) 0.50/0.96 (assume @p100 (forall (@list @v.1.X @v.1.Xs @v.1.Ys @v.0.Y) (=> @t263 (_ @t31 (_ tptp.set_node2 (_ tptp.tl_node (_ @t215 (_ @t211 @v.1.Xs)))))))) 0.50/0.96 (assume @p101 (forall @t72 (= (_ @t217 tptp.nil_node) @t65))) 0.50/0.96 (assume @p102 (forall @t315 (=> @t34 (=> @t314 (_ (_ @t27 (_ (_ tptp.append_node (_ tptp.butlast_node @v.0.Ns)) @v.0.Ms)) @v.2.L))))) 0.50/0.96 (assume @p103 (forall @t318 (= (= @t145 @t317) @t316))) 0.50/0.96 (assume @p104 (forall (@list @v.0.List @v.1.X21 @v.1.X22) (=> (= @v.0.List @t116) @t161))) 0.50/0.96 (assume @p105 (forall @t322 (= (_ @t321 @t319) (_ (_ tptp.suffix_node @v.1.Ys) @v.0.Zs)))) 0.50/0.96 (assume @p106 (forall @t221 (= (= @v.1.Xs @t145) @t287))) 0.50/0.96 (assume @p107 (forall (@list @v.1.E1 @v.1.E2 @v.1.L1 @v.1.E12 @v.1.E22 @v.1.L2) (= (= @t326 @t325) (and @t188 @t324 @t323 @t183)))) 0.50/0.96 (assume @p108 (forall @t103 (=> @t261 (not (forall @t301 (=> @t94 (=> @t92 (not @t300)))))))) 0.50/0.96 (assume @p109 (forall @t221 (=> @t305 (not (forall @t95 (not (= @v.1.Ys (_ (_ tptp.append_node @v.0.Zs2) @v.1.Xs)))))))) 0.50/0.96 (assume @p110 (forall @t315 (=> @t34 (=> @t314 (_ (_ @t27 (_ @t128 (_ tptp.tl_node @v.0.Ms))) @v.2.L))))) 0.50/0.96 (assume @p111 (forall @t309 (= @t263 (exists @t330 (and (not (_ @t31 @t329)) @t328))))) 0.50/0.96 (assume @p112 (forall (@list @v.0.A @v.0.B) (=> @t133 (=> @t333 @t331)))) 0.50/0.96 (assume @p113 (forall @t221 (= (_ @t334 @v.1.Xs) @t287))) 0.50/0.96 (assume @p114 (forall @t117 (= (_ tptp.tl_node @t116) @v.1.X22))) 0.50/0.96 (assume @p115 (forall @t72 (= (_ @t144 tptp.nil_node) @v.1.Xs))) 0.50/0.96 (assume @p116 (forall (@list @v.2.X @v.2.Xs @v.2.Ys @v.2.Y) (=> (_ @t121 (_ tptp.set_list_node2 @v.2.Xs)) (_ @t121 (_ tptp.set_list_node2 (_ tptp.tl_list_node (_ @t336 (_ @t335 @v.2.Xs)))))))) 0.50/0.96 (assume @p117 (forall @t311 (= @t310 (exists (@list @v.0.Xs3 @v.0.X3) (= @v.1.L (_ (_ tptp.append_node @v.0.Xs3) @t67)))))) 0.50/0.96 (assume @p118 @t337) 0.50/0.96 (assume @p119 (forall @t341 (=> @t340 (=> (forall (@list @v.0.P2 @v.0.X4) (_ @t339 @t42)) (=> (forall (@list @v.0.P2 @v.0.X4 @v.0.Y3 @v.0.Xs2) (=> (_ @t339 @t37) (_ @t339 @t38))) @t338))))) 0.50/0.96 (assume @p120 (forall @t166 (= (= @t165 @v.2.Xs) @t342))) 0.50/0.96 (assume @p121 (forall @t152 (=> @t151 (=> @t150 (_ (_ tptp.ord_less_eq_set_node @t343) @v.0.A2))))) 0.50/0.96 (assume @p122 (= (_ tptp.tl_node tptp.nil_node) tptp.nil_node)) 0.50/0.96 (assume @p123 (forall @t84 (= (_ @t53 tptp.nil_val) @v.0.Xs))) 0.50/0.96 (assume @p124 (forall @t355 (=> @t354 (=> @t353 (=> (forall @t352 (_ @t206 @t346)) (=> (forall @t203 @t351) @t344)))))) 0.50/0.96 (assume @p125 (forall (@list @v.0.Ps2 @v.0.Ls @v.4.P) (=> @t356 (=> @t353 (=> (forall @t203 (=> @t40 @t349)) (=> (forall @t203 (=> @t39 (=> (not (_ (_ tptp.suffix_node @v.0.Xs2) @v.0.Ys3)) @t351))) (_ (_ @v.4.P @v.0.Ps2) @v.0.Ls))))))) 0.50/0.96 (assume @p126 (forall @t277 (= (_ @t164 tptp.nil_list_node) @v.2.Xs))) 0.50/0.96 (assume @p127 (not (forall (@list @v.0.Rs_rest) (not (= tptp.rs (_ @t357 @v.0.Rs_rest)))))) 0.50/0.96 (assume @p128 (forall @t166 (=> @t358 (= (_ tptp.tl_list_node @t165) (_ (_ tptp.append_list_node @t276) @v.2.Ys))))) 0.50/0.96 (assume @p129 (= (_ tptp.tl_val tptp.nil_val) tptp.nil_val)) 0.50/0.96 (assume @p130 (forall @t218 (=> @t305 @t306))) 0.50/0.96 (assume @p131 (forall @t35 (=> @t34 (=> @t32 (not (forall (@list @v.0.Ns_1 @v.0.Ns_3 @v.0.Ns_2) (=> (= @v.0.Ns (_ @t21 (_ (_ tptp.append_node @v.0.Ns_3) @v.0.Ns_2))) (=> (_ (_ tptp.prefix_node @t361) @v.0.Ns) (=> (_ (_ tptp.suffix_node @t359) @v.0.Ns) (=> (_ (_ @t27 @t361) @v.1.X) (=> (not (_ @t31 (_ tptp.set_node2 @v.0.Ns_1))) (=> (_ (_ @t24 @v.0.Ns_3) @v.1.X) (=> (_ (_ @t24 @t359) @v.0.M) (_ @t31 (_ tptp.set_node2 @v.0.Ns_2))))))))))))))) 0.50/0.96 (assume @p132 (= @t365 (lambda @t364 (and @t363 @t362)))) 0.50/0.96 (assume @p133 (forall (@list @v.0.G @v.0.N @v.0.Ns @v.0.M @v.2.L) (=> @t34 (=> (_ @t366 @t30) (_ @t366 @t73))))) 0.50/0.96 (assume @p134 (forall (@list @v.2.A @v.0.X) (=> @t367 (=> (_ @t10 (_ tptp.set_val2 (_ tptp.tl_val @v.2.A))) (_ @t10 @t246))))) 0.50/0.96 (assume @p135 (forall @t318 (=> @t305 (_ @t217 (_ @t231 @v.1.Ys))))) 0.50/0.96 (assume @p136 (= tptp.rs @t369)) 0.50/0.96 (assume @p137 (forall (@list @v.0.E3 @v.3.L) (=> (_ @t244 @t372) (not (forall @t371 (not (= @v.3.L (_ @t370 (_ @t245 @v.1.L22))))))))) 0.50/0.96 (assume @p138 (forall @t166 (= (= @v.2.Xs @t165) @t342))) 0.50/0.96 (assume @p139 (= (_ tptp.butlast_list_node tptp.nil_list_node) tptp.nil_list_node)) 0.50/0.96 (assume @p140 (forall @t14 (=> @t12 (exists @t123 (and @t122 (not (_ @t10 (_ tptp.set_val2 @v.1.Zs2)))))))) 0.50/0.96 (assume @p141 (forall @t169 (= (_ @t255 @v.0.A) @v.0.A))) 0.50/0.96 (assume @p142 (= (_ tptp.butlast_val tptp.nil_val) tptp.nil_val)) 0.50/0.96 (assume @p143 (forall @t103 (=> @t102 (exists @t97 (and @t96 @t91 @t92))))) 0.50/0.96 (assume @p144 (forall @t374 (= @t373 (exists (@list @v.0.Xl) (= @v.1.L (_ @t17 (_ @t144 (_ (_ tptp.cons_node @v.0.Xl) tptp.nil_node)))))))) 0.50/0.96 (assume @p145 (not (_ @t375 (_ tptp.set_node2 (_ tptp.tl_node tptp.rs))))) 0.50/0.96 (assume @p146 (forall @t290 (= (_ @t321 @v.1.Xs) @t287))) 0.50/0.96 (assume @p147 (= @t365 (lambda (@list @v.2.X3 @v.0.Y2) (and (_ (_ tptp.suffix_node @v.2.X3) @v.0.Y2) (_ (_ tptp.suffix_node @v.0.Y2) @v.2.X3))))) 0.50/0.96 (assume @p148 (forall @t378 (and (=> (not @t342) (= @t377 (_ @t164 (_ tptp.butlast_list_node @v.2.Ys)))) (=> @t342 (= @t377 @t376))))) 0.50/0.96 (assume @p149 (forall @t381 (= (_ (_ tptp.suffix_node @t380) @t216) (and @t305 @t379)))) 0.50/0.96 (assume @p150 (forall @t208 (=> @t207 (=> (forall (@list @v.0.A3 @v.0.As @v.1.B2) (=> (_ (_ @v.4.P @v.0.As) (_ @t45 @v.1.B2)) (_ (_ @v.4.P @t46) @v.1.B2))) @t195)))) 0.50/0.96 (assume @p151 @t383) 0.50/0.96 (assume @p152 (forall @t221 (= (= @t145 @v.1.Xs) @t287))) 0.50/0.96 (assume @p153 (forall @t385 (= (= @t124 (_ @t53 @v.1.Zs)) @t384))) 0.50/0.96 (assume @p154 (forall @t378 (= (= @v.2.Ys @t165) @t163))) 0.50/0.96 (assume @p155 (forall (@list @v.1.X @v.0.Xs1 @v.1.Ys @v.1.Xs @v.0.Zs) (=> (= (_ @t17 @v.0.Xs1) @v.1.Ys) (=> (= @v.1.Xs (_ @t232 @v.0.Zs)) @t387)))) 0.50/0.96 (assume @p156 (forall @t309 (= @t263 (exists @t330 (and (not (_ @t31 @t388)) @t328))))) 0.50/0.96 (assume @p157 (forall @t309 (= @t263 (exists @t330 @t328)))) 0.50/0.96 (assume @p158 (forall @t130 (=> @t34 (=> (_ @t390 @t30) (not (forall @t272 (=> (_ @t271 @v.0.M4) (=> @t391 (_ @t390 @t389))))))))) 0.50/0.96 (assume @p159 (forall @t126 (=> @t83 (= (_ tptp.hd_val @t124) @t13)))) 0.50/0.96 (assume @p160 (forall @t126 (=> @t83 (= (_ tptp.tl_val @t124) (_ (_ tptp.append_val @t9) @v.0.Ys))))) 0.50/0.96 (assume @p161 (forall (@list @v.1.L1 @v.1.A @v.1.L2) (=> @t393 (= @t187 (and @t188 @t392))))) 0.50/0.96 (assume @p162 (forall @t72 (_ (_ tptp.suffix_node @t70) @v.1.Xs))) 0.50/0.96 (assume @p163 (forall @t146 (=> (_ @t394 @v.1.Ys) @t305))) 0.50/0.96 (assume @p164 (forall (@list @v.1.A @v.2.P) (= (_ (_ tptp.member_node @v.1.A) @t395) (_ @v.2.P @v.1.A)))) 0.50/0.96 (assume @p165 (forall (@list @v.1.A2) (= (_ tptp.collect_val (lambda @t154 (_ @t153 @v.1.A2))) @v.1.A2))) 0.50/0.96 (assume @p166 (forall @t311 (=> @t310 (not (forall (@list @v.0.Ll @v.0.E4) (not (= @v.1.L (_ (_ tptp.append_node @v.0.Ll) @t397)))))))) 0.50/0.96 (assume @p167 (forall (@list @v.2.L1 @v.1.E @v.2.L2 @v.0.E3) (= (= @t400 @t399) (and @t234 @t398 @t239)))) 0.50/0.96 (assume @p168 (forall (@list @v.2.L2 @v.2.L1 @v.3.A) (=> @t403 (= @t402 (and @t239 @t401))))) 0.50/0.96 (assume @p169 (forall (@list @v.0.S @v.2.P) (= (_ (_ tptp.ord_less_eq_set_node @v.0.S) @t395) (forall @t68 (=> (_ @t193 @v.0.S) @t404))))) 0.50/0.96 (assume @p170 (forall @t407 (=> @t2 (=> @t44 (=> (forall (@list @v.0.X1 @v.0.X23 @v.0.Xs2) (=> @t6 (_ @v.0.P (_ @t406 (_ (_ tptp.cons_node @v.0.X23) @v.0.Xs2))))) @t405))))) 0.50/0.96 (assume @p171 (forall (@list @v.2.Xs @v.2.X @v.2.Ys @v.2.Y) (= (= @t409 (_ @t336 (_ @t335 tptp.nil_list_node))) (and (= @v.2.Xs @v.2.Ys) @t294)))) 0.50/0.96 (assume @p172 (forall (@list @v.1.Y @v.0.X @v.0.Xs) (=> (_ @t247 (_ tptp.set_val2 @t111)) (or (_ @t247 @t11) (= @v.1.Y @v.0.X))))) 0.50/0.96 (assume @p173 (forall @t169 (=> @t313 (_ (_ tptp.member_node (_ tptp.hd_node @v.0.A)) @t253)))) 0.50/0.96 (assume @p174 (forall @t407 (=> @t2 (=> @t44 (=> (forall (@list @v.0.X4 @v.0.Y3 @v.0.Zs2) (=> (_ @v.0.P @v.0.Zs2) (=> (_ @v.0.P @t410) (_ @v.0.P (_ @t3 @t410))))) @t405))))) 0.50/0.96 (assume @p175 (forall @t318 (= (_ (_ tptp.append_node @t145) @v.0.Zs) (_ @t144 @t386)))) 0.50/0.96 (assume @p176 (forall (@list @v.1.Xs @v.1.Ys @v.4.P) (=> @t151 (=> @t289 (=> (forall (@list @v.0.X4 @v.0.Y3) (_ @t413 @t345)) (=> (forall (@list @v.0.X4 @v.0.Xs2 @v.0.Y3) (=> @t412 (_ @t348 @t345))) (=> (forall (@list @v.0.X4 @v.0.Y3 @v.0.Ys3) (=> @t411 (_ @t413 @t346))) (=> (forall @t203 (=> @t350 (=> @t412 (=> @t411 @t349)))) @t344)))))))) 0.50/0.96 (assume @p177 (forall @t284 (=> (forall (@list @v.0.R @v.0.X4 @v.0.Xs2 @v.0.Y3 @v.0.Ys3) (=> (=> @t417 (_ @t415 @t196)) (=> (=> (not @t417) (_ @t416 @v.0.Ys3)) (_ @t416 @t196)))) (=> (forall (@list @v.0.R @v.0.Xs2) (_ @t415 tptp.nil_node)) (=> (forall (@list @v.0.R @v.0.V @v.0.Va) (_ (_ @t414 tptp.nil_node) @t279)) @t278))))) 0.50/0.96 (assume @p178 (_ (_ (_ (_ (_ (_ (_ (_ (_ tptp.graph_2009891965_edgeD tptp.alpha_n) tptp.invar) tptp.inEdges) tptp.g2) tptp.m) tptp.ms2) tptp.n) (_ (_ tptp.append_node tptp.ns) (_ tptp.tl_node tptp.ri))) tptp.i)) 0.50/0.96 (assume @p179 (forall @t309 (=> @t418 @t263))) 0.50/0.96 (assume @p180 (forall @t421 (= (_ (_ tptp.prefix_node @t18) @t304) (and @t420 @t379)))) 0.50/0.96 (assume @p181 (forall (@list @v.0.N1 @v.0.R1 @v.0.N22 @v.0.R2) (=> (= (_ (_ tptp.cons_node @v.0.N1) @v.0.R1) (_ (_ tptp.cons_node @v.0.N22) @v.0.R2)) (and (= @v.0.R1 @v.0.R2) (= @v.0.N1 @v.0.N22))))) 0.50/0.96 (assume @p182 (forall @t422 (= (_ tptp.butlast_node @t380) @v.1.Xs))) 0.50/0.96 (assume @p183 (forall (@list @v.0.B @v.0.A @v.0.C) (=> @t333 (=> (_ @t423 @v.0.B) (_ @t423 @v.0.A))))) 0.50/0.96 (assume @p184 (forall @t126 (= (= @v.0.Xs @t124) @t259))) 0.50/0.96 (assume @p185 (_ (_ @t147 tptp.ms) (_ @t61 tptp.s))) 0.50/0.96 (assume @p186 (forall (@list @v.0.A2) (= (_ tptp.collect_node (lambda @t68 (_ @t193 @v.0.A2))) @v.0.A2))) 0.50/0.96 (assume @p187 (forall (@list @v.0.Y @v.1.X22 @v.1.X21) (=> (_ @t16 (_ tptp.set_node2 @v.1.X22)) (_ @t16 @t120)))) 0.50/0.96 (assume @p188 (forall @t426 (and (=> @t163 (= @t425 tptp.nil_list_node)) (=> @t358 (= @t425 (_ @t408 @t376)))))) 0.50/0.96 (assume @p189 (forall (@list @v.1.L @v.1.X) (=> @t310 (= (or (_ @t31 (_ tptp.set_node2 (_ tptp.tl_node @v.1.L))) (= @v.1.X (_ tptp.hd_node @v.1.L))) @t427)))) 0.50/0.96 (assume @p190 (forall (@list @v.0.P @v.0.List) (=> @t2 (=> (forall (@list @v.0.X1 @v.1.X23) (=> (_ @v.0.P @v.1.X23) (_ @v.0.P (_ @t406 @v.1.X23)))) (_ @v.0.P @v.0.List))))) 0.50/0.96 (assume @p191 (forall (@list @v.1.List) (=> @t431 (= (_ (_ tptp.cons_val @t429) @t428) @v.1.List)))) 0.50/0.96 (assume @p192 (forall @t385 (= (_ (_ tptp.append_val @t124) @v.1.Zs) (_ @t53 (_ @t51 @v.1.Zs))))) 0.50/0.96 (assume @p193 (forall @t432 (= (_ @t230 tptp.nil_val) @v.2.A))) 0.50/0.96 (assume @p194 (forall @t221 (exists (@list @v.0.Ps @v.0.Xs5 @v.0.Ys5) (and (= @v.1.Xs (_ @t433 @v.0.Xs5)) (or (= @v.0.Xs5 tptp.nil_node) (= @v.0.Ys5 tptp.nil_node) (not (= (_ tptp.hd_node @v.0.Xs5) (_ tptp.hd_node @v.0.Ys5)))) (= @v.1.Ys (_ @t433 @v.0.Ys5)))))) 0.50/0.96 (assume @p195 (forall @t437 (= @t387 (or (and @t287 (= @t18 @v.0.Zs)) (exists @t436 (and (= @t435 @v.1.Ys) (= @v.1.Xs @t434))))))) 0.50/0.96 (assume @p196 (forall @t192 (=> @t34 (_ (_ (_ @t23 @t308) @v.0.Ns) @v.0.M)))) 0.50/0.96 (assume @p197 (forall @t277 (=> @t358 (= (_ (_ tptp.cons_list_node @t438) @t276) @v.2.Xs)))) 0.50/0.96 (assume @p198 (forall @t422 (_ @t149 @t19))) 0.50/0.96 (assume @p199 (forall (@list @v.0.Ys @v.0.Xs @v.1.Zs) (= (= (_ @t51 @v.0.Xs) (_ (_ tptp.append_val @v.1.Zs) @v.0.Xs)) @t384))) 0.50/0.96 (assume @p200 (forall (@list @v.0.List @v.0.List2) (=> (= @t160 @t439) (=> (=> @t161 (=> (not @t439) (and (= @t158 (_ tptp.hd_node @v.0.List2)) (= @t157 (_ tptp.tl_node @v.0.List2))))) (= @v.0.List @v.0.List2))))) 0.50/0.96 (assume @p201 (forall @t440 (=> @t77 (=> @t75 (_ (_ @t27 @t85) @v.0.N))))) 0.50/0.96 (assume @p202 (forall @t134 (=> @t133 @t441))) 0.50/0.96 (assume @p203 (forall @t445 (=> @t444 @t443))) 0.50/0.96 (assume @p204 (forall @t14 (=> @t12 (exists @t123 (and (not (_ @t10 (_ tptp.set_val2 @v.1.Ys3))) @t122))))) 0.50/0.96 (assume @p205 (forall @t440 (=> @t77 (=> @t75 @t86)))) 0.50/0.96 (assume @p206 (forall (@list @v.0.L2 @v.0.A @v.0.L1) (=> @t180 (= @t446 @t177)))) 0.50/0.96 (assume @p207 (forall @t84 (=> @t83 (=> @t447 (not (forall (@list @v.1.E4) (not (= @v.0.Xs (_ (_ tptp.cons_val @v.1.E4) tptp.nil_val))))))))) 0.50/0.96 (assume @p208 @t448) 0.50/0.96 (assume @p209 (forall @t312 (=> @t191 @t291))) 0.50/0.96 (assume @p210 (forall (@list @v.2.L1 @v.2.E12 @v.2.E22 @v.2.L2 @v.2.E1 @v.2.E2) (= (= @t451 @t450) @t449))) 0.50/0.96 (assume @p211 (forall @t126 (= (= @t124 tptp.nil_val) (and @t82 @t259)))) 0.50/0.96 (assume @p212 (forall (@list @v.2.X21 @v.2.X22 @v.1.Y21 @v.1.Y22) (= (= @t452 (_ (_ tptp.cons_list_node @v.1.Y21) @v.1.Y22)) (and (= @v.2.X22 @v.1.Y22) (= @v.2.X21 @v.1.Y21))))) 0.50/0.96 (assume @p213 (forall @t72 (=> @t151 (=> @t71 (not (forall (@list @v.0.E4) (not (= @v.1.Xs @t397)))))))) 0.50/0.96 (assume @p214 (_ @t242 tptp.rs)) 0.50/0.96 (assume @p215 (forall @t192 (=> @t34 (_ @t129 @t73)))) 0.50/0.96 (assume @p216 (_ (_ tptp.prefix_node tptp.ms2) tptp.ms)) 0.50/0.96 (assume @p217 (forall (@list @v.2.List) (=> @t456 (= (_ (_ tptp.cons_list_node @t454) @t453) @v.2.List)))) 0.50/0.96 (assume @p218 (forall (@list @v.2.P @v.1.Q) (=> (forall @t43 (= @t92 (_ @v.1.Q @v.0.X4))) (= @t395 (_ tptp.collect_node @v.1.Q))))) 0.50/0.96 (assume @p219 (not (forall (@list @v.0.Tmp) (not (= tptp.ri (_ (_ tptp.append_node @v.0.Tmp) @t223)))))) 0.50/0.96 (assume @p220 (forall (@list @v.1.Ys) (= @t256 @v.1.Ys))) 0.50/0.96 (assume @p221 (forall (@list @v.4.A @v.2.B @v.2.C @v.0.D) (=> (= @v.4.A @v.2.B) (=> (_ (_ tptp.ord_less_eq_set_node @v.2.B) @v.2.C) (=> (= @v.2.C @v.0.D) (_ (_ tptp.ord_less_eq_set_node @v.4.A) @v.0.D)))))) 0.50/0.96 (assume @p222 (forall @t221 (= (= @t145 tptp.nil_node) @t457))) 0.50/0.96 (assume @p223 (forall (@list @v.4.P @v.0.R3 @v.1.Xs @v.1.Ys) (=> @t205 (=> @t207 (=> (forall @t203 (=> @t458 (=> @t202 @t198))) (=> (forall @t203 (=> (not @t458) @t200)) @t344)))))) 0.50/0.96 (assume @p224 (forall @t318 (= (_ @t217 @t386) (or (_ @t217 @v.0.Zs) (exists (@list @v.0.Xs6) (and (_ (_ tptp.suffix_node @v.0.Xs6) @v.1.Ys) (= @v.1.Xs (_ (_ tptp.append_node @v.0.Xs6) @v.0.Zs)))))))) 0.50/0.96 (assume @p225 (forall @t14 (= @t12 (exists @t156 (and (not (_ @t10 (_ tptp.set_val2 @v.0.Ys2))) @t155))))) 0.50/0.96 (assume @p226 (forall @t426 (= (_ tptp.butlast_list_node @t409) @v.2.Xs))) 0.50/0.96 (assume @p227 (forall (@list @v.0.B @v.0.A) (=> @t333 (=> @t133 @t331)))) 0.50/0.96 (assume @p228 (forall @t146 (=> (or (_ @t31 (_ tptp.set_node2 @t288)) @t418) (_ @t31 (_ tptp.set_node2 @t286))))) 0.50/0.96 (assume @p229 (forall @t277 (=> @t358 (=> @t459 (not (forall (@list @v.2.E4) (not (= @v.2.Xs (_ (_ tptp.cons_list_node @v.2.E4) tptp.nil_list_node))))))))) 0.50/0.96 (assume @p230 (_ (_ (_ @t63 tptp.n) tptp.ns) @t62)) 0.50/0.96 (assume @p231 (forall @t422 (and (=> @t65 (= @t460 tptp.nil_node)) (=> @t151 (= @t460 (_ @t17 @t285)))))) 0.50/0.96 (assume @p232 (forall @t72 (= (_ @t419 tptp.nil_node) @t65))) 0.50/0.96 (assume @p233 (forall @t462 (=> (forall @t7 (not (= @v.2.X @t4))) @t461))) 0.50/0.96 (assume @p234 (forall (@list @v.2.E1 @v.2.E2 @v.2.L1 @v.2.E12 @v.2.E22 @v.2.L2) (= (= @t450 @t451) @t449))) 0.50/0.96 (assume @p235 (= (_ tptp.append_val tptp.nil_val) (lambda (@list @v.3.X3) @v.3.X3))) 0.50/0.96 (assume @p236 (forall @t381 (= (= @t380 @t216) (and @t257 @t379)))) 0.50/0.96 (assume @p237 (= (_ tptp.butlast_node tptp.nil_node) tptp.nil_node)) 0.50/0.96 (assume @p238 (= tptp.rs (_ @t357 tptp.rs_rest))) 0.50/0.96 (assume @p239 (forall (@list @v.2.L1 @v.2.L2 @v.3.A) (=> @t240 (= @t402 @t235)))) 0.50/0.96 (assume @p240 (forall @t463 (=> @t151 (=> @t44 (=> (forall @t7 (=> @t412 (=> @t6 @t5))) @t405))))) 0.50/0.96 (assume @p241 (forall @t72 (= (_ tptp.butlast_node @t70) (_ tptp.tl_node @t285)))) 0.50/0.96 (assume @p242 (forall @t101 (=> (_ @t98 (_ tptp.set_node2 (_ tptp.butlast_node tptp.ri))) @t273))) 0.50/0.96 (assume @p243 (forall @t126 (= (= @t124 @v.0.Xs) @t259))) 0.50/0.96 (assume @p244 (forall (@list @v.0.G) @t75)) 0.50/0.96 (assume @p245 (forall @t465 (=> @t464 (=> (forall @t142 (=> (= @v.0.A @t140) (=> @t141 (not @t75)))) (not (forall @t139 (=> (= @v.0.A @t135) (=> @t138 (not @t137))))))))) 0.50/0.96 (assume @p246 (forall @t134 (= (_ (_ tptp.append_node (_ @t466 @v.0.B)) @v.0.C) (_ @t466 (_ (_ tptp.append_node @v.0.B) @v.0.C))))) 0.50/0.96 (assume @p247 (forall @t84 (= @t447 (or @t82 @t467)))) 0.50/0.96 (assume @p248 (forall @t166 (= (= @t165 tptp.nil_list_node) (and @t342 @t163)))) 0.50/0.96 (assume @p249 (forall @t374 (=> @t373 (not (forall (@list @v.0.Xl2) (not (= @v.1.L (_ @t17 (_ @t144 (_ (_ tptp.cons_node @v.0.Xl2) tptp.nil_node)))))))))) 0.50/0.96 (assume @p250 (forall (@list @v.0.X @v.3.L @v.1.Y) (=> @t471 (=> (_ @t247 @t372) (=> (=> @t49 (forall @t371 (not (= @v.3.L (_ @t370 (_ @t50 @v.1.L22)))))) (=> (=> @t470 (forall @t469 (not (= @v.3.L (_ @t370 (_ @t52 (_ @t468 (_ @t50 @v.0.L3)))))))) (not (=> @t470 (forall @t469 (not (= @v.3.L (_ @t370 (_ @t50 (_ @t468 (_ @t52 @v.0.L3))))))))))))))) 0.50/0.96 (assume @p251 (forall @t474 (=> @t34 (=> @t473 (not (forall (@list @v.0.N3 @v.0.Ns4) (=> (_ (_ (_ @t23 @v.0.N3) @v.0.Ns4) @v.0.M) (=> (_ @v.2.P @v.0.N3) (=> (forall @t101 (=> (_ @t98 (_ tptp.set_node2 (_ tptp.tl_node @v.0.Ns4))) @t472)) (not (_ (_ tptp.suffix_node @v.0.Ns4) @v.0.Ns))))))))))) 0.50/0.96 (assume @p252 (forall @t72 (= @t151 (exists (@list @v.1.Y2 @v.1.Ys2) (= @v.1.Xs (_ (_ tptp.cons_node @v.1.Y2) @v.1.Ys2)))))) 0.50/0.96 (assume @p253 (forall @t432 (=> @t367 (_ (_ tptp.member_val (_ tptp.hd_val @v.2.A)) @t246)))) 0.50/0.96 (assume @p254 (forall (@list @v.3.A @v.3.P) (= (_ (_ tptp.member_val @v.3.A) @t181) (_ @v.3.P @v.3.A)))) 0.50/0.96 (assume @p255 (forall @t277 (= @t459 @t275))) 0.50/0.96 (assume @p256 (forall (@list @v.0.G @v.0.N) (=> (not (= @t476 tptp.nil_node)) @t475))) 0.50/0.96 (assume @p257 (forall @t437 (=> @t387 @t443))) 0.50/0.96 (assume @p258 (forall @t134 (=> @t331 @t441))) 0.50/0.96 (assume @p259 (forall (@list @v.0.L1 @v.0.A @v.0.L2) (=> @t478 (= @t446 @t477)))) 0.50/0.96 (assume @p260 (forall @t114 (= (_ tptp.butlast_val @t54) @v.0.Xs))) 0.50/0.96 (assume @p261 (= (_ tptp.append_list_node tptp.nil_list_node) (lambda (@list @v.4.X3) @v.4.X3))) 0.50/0.96 (assume @p262 (forall @t169 (_ @t131 @v.0.A))) 0.50/0.96 (assume @p263 (forall (@list @v.0.X @v.0.Xs @v.0.Ys @v.1.Y) (=> @t12 (_ @t10 (_ tptp.set_val2 (_ tptp.tl_val (_ @t51 (_ @t50 @v.0.Xs)))))))) 0.50/0.96 (assume @p264 (forall @t483 (=> @t482 (_ @t58 (_ @t128 @t480))))) 0.50/0.96 (assume @p265 (forall @t309 (=> (not (= @v.1.X @t254)) (=> @t263 (_ @t31 @t148))))) 0.50/0.96 (assume @p266 (forall (@list @v.1.L1 @v.1.E12 @v.1.E22 @v.1.L2 @v.1.E1 @v.1.E2) (= (= @t325 @t326) (and @t183 @t324 @t188 @t323)))) 0.50/0.96 (assume @p267 (forall @t169 (= @t484 @t167))) 0.50/0.96 (assume @p268 (_ (_ @t64 tptp.rs2) @t243)) 0.50/0.96 (assume @p269 (forall @t166 (=> @t358 (= (_ tptp.hd_list_node @t165) @t438)))) 0.50/0.96 (assume @p270 (forall @t298 (=> @t34 (=> (=> @t75 (_ (_ (_ @v.6.P @v.0.M) @t480) @v.0.M)) (=> (forall (@list @v.0.Ns3 @v.0.N3 @v.0.N4) (=> (_ (_ (_ @t23 @v.0.N4) @v.0.Ns3) @v.0.M) (=> (_ (_ (_ @v.6.P @v.0.N4) @v.0.Ns3) @v.0.M) (=> (_ @t136 (_ tptp.set_node2 (_ @t79 @v.0.N4))) (_ (_ (_ @v.6.P @v.0.N3) @t135) @v.0.M))))) @t297))))) 0.50/0.96 (assume @p271 (forall (@list @v.2.X @v.2.Y @v.0.Z3) (=> @t293 (=> (_ @t485 @v.0.Z3) (_ @t292 @v.0.Z3))))) 0.50/0.96 (assume @p272 (forall (@list @v.2.Y) (=> (not (= @v.2.Y tptp.nil_node)) (not (forall (@list @v.0.X212 @v.0.X222) (not (= @v.2.Y (_ (_ tptp.cons_node @v.0.X212) @v.0.X222)))))))) 0.50/0.96 (assume @p273 (forall @t407 (=> @t2 (=> (forall @t7 @t486) @t405)))) 0.50/0.96 (assume @p274 (= @t255 (lambda @t274 @v.2.X3))) 0.50/0.96 (assume @p275 (forall @t14 (= @t12 (exists @t156 @t155)))) 0.50/0.96 (assume @p276 (forall (@list @v.1.E3 @v.0.L1 @v.0.E @v.0.L2) (= (= @t249 @t250) @t248))) 0.50/0.96 (assume @p277 (forall @t103 (=> @t102 (not (forall @t97 (=> @t96 (not @t92))))))) 0.50/0.96 (assume @p278 (forall (@list @v.5.A @v.2.X) (=> (not (= @v.5.A tptp.nil_list_node)) (=> (_ @t121 (_ tptp.set_list_node2 (_ tptp.tl_list_node @v.5.A))) (_ @t121 (_ tptp.set_list_node2 @v.5.A)))))) 0.50/0.96 (assume @p279 (forall @t290 (= (= @v.1.Ys @t145) @t65))) 0.50/0.96 (assume @p280 (forall @t462 (=> (not @t461) (=> (forall @t43 (not (= @v.2.X @t42))) (not (forall @t41 (not (= @v.2.X @t38)))))))) 0.50/0.96 (assume @p281 (forall @t169 (_ @t168 @v.0.A))) 0.50/0.96 (assume @p282 (forall @t72 (_ @t487 @v.1.Xs))) 0.50/0.96 (assume @p283 (not (_ @t375 (_ tptp.set_node2 (_ tptp.tl_node tptp.rs2))))) 0.50/0.96 (assume @p284 (forall @t192 (=> @t34 (= @v.0.N @t308)))) 0.50/0.96 (assume @p285 (forall (@list @v.0.G @v.0.Ns @v.0.N @v.0.M) (=> (_ @t58 (_ @t128 @t85)) (=> (_ @t76 (_ tptp.set_node2 (_ @t79 @v.0.M))) (_ @t58 (_ @t128 (_ @t57 @t480))))))) 0.50/0.96 (assume @p286 (forall @t483 (=> @t482 (_ @t58 @t481)))) 0.50/0.96 (assume @p287 (forall (@list @v.0.E1 @v.0.E2 @v.0.L1 @v.0.E12 @v.0.E22 @v.0.L2) (= (= @t108 @t110) (and @t107 @t104 @t105 @t106)))) 0.50/0.96 (assume @p288 (forall @t221 (= (= tptp.nil_node @t145) @t457))) 0.50/0.96 (assume @p289 (forall (@list @v.0.G @v.0.N @v.0.Ns @v.0.M @v.0.N2) (=> @t34 (=> (_ @t74 (_ tptp.set_node2 @t476)) (_ (_ @t226 @t59) @v.0.M))))) 0.50/0.96 (assume @p290 (forall @t474 (=> @t34 (=> @t473 (not (forall (@list @v.0.M2 @v.0.Ns4) (=> (_ @t271 @v.0.M2) (=> (_ @v.2.P @v.0.M2) (=> (forall @t101 (=> (_ @t98 @t389) @t472)) (not @t391)))))))))) 0.50/0.96 (assume @p291 (forall (@list @v.0.X @v.0.Xs @v.0.Ys @v.1.Xs4 @v.1.Ys6) (=> (not @t12) (=> (not (_ @t10 (_ tptp.set_val2 @v.0.Ys))) (= (= (_ @t53 (_ @t52 @v.0.Ys)) (_ (_ tptp.append_val @v.1.Xs4) (_ @t52 @v.1.Ys6))) (and (= @v.0.Ys @v.1.Ys6) (= @v.0.Xs @v.1.Xs4))))))) 0.50/0.96 (assume @p292 (forall @t72 (=> @t151 (= (_ (_ tptp.cons_node @t254) @t70) @v.1.Xs)))) 0.50/0.96 (assume @p293 (forall (@list @v.1.X21 @v.1.X22 @v.2.Y21 @v.2.Y22) (= (= @t116 (_ (_ tptp.cons_node @v.2.Y21) @v.2.Y22)) (and (= @v.1.X22 @v.2.Y22) (= @v.1.X21 @v.2.Y21))))) 0.50/0.96 (assume @p294 (forall @t166 (= (= tptp.nil_list_node @t165) (and @t163 @t342)))) 0.50/0.96 (assume @p295 (forall (@list @v.0.L @v.2.X @v.2.Xs) (= (= (_ tptp.butlast_list_node @v.0.L) @t424) (exists (@list @v.1.Xl) (= @v.0.L (_ @t408 (_ @t164 (_ (_ tptp.cons_list_node @v.1.Xl) tptp.nil_list_node)))))))) 0.50/0.96 (assume @p296 (forall (@list @v.0.E3 @v.2.L1 @v.1.E @v.2.L2) (= (= @t399 @t400) (and @t398 @t234 @t239)))) 0.50/0.96 (assume @p297 (forall @t218 (= (_ @t419 @t216) (or (= @v.1.Xs @t216) @t420)))) 0.50/0.96 (assume @p298 (forall @t81 (=> @t80 @t475))) 0.50/0.96 (assume @p299 (forall (@list @v.0.X @v.0.Xs @v.0.Ys) (=> (or (_ @t10 (_ tptp.set_val2 @t260)) @t488) (_ @t10 (_ tptp.set_val2 @t258))))) 0.50/0.96 (assume @p300 (forall (@list @v.2.X21 @v.2.X22) (= (_ tptp.tl_list_node @t452) @v.2.X22))) 0.50/0.96 (assume @p301 (forall @t462 (_ (_ tptp.prefix_node @v.2.X) @v.2.X))) 0.50/0.96 (assume @p302 (forall @t72 (_ (_ tptp.prefix_node tptp.nil_node) @v.1.Xs))) 0.50/0.96 (assume @p303 (forall (@list @v.3.L @v.0.X) (=> (not (= @v.3.L tptp.nil_val)) (= (or (_ @t10 (_ tptp.set_val2 (_ tptp.tl_val @v.3.L))) (= @v.0.X (_ tptp.hd_val @v.3.L))) @t471)))) 0.50/0.96 (assume @p304 (forall @t192 (=> @t34 @t77))) 0.50/0.96 (assume @p305 (forall @t72 (=> @t151 (not (forall (@list @v.0.Ys3 @v.0.Y3) (not (= @v.1.Xs @t346))))))) 0.50/0.96 (assume @p306 (forall (@list @v.2.L2 @v.3.A @v.2.L1) (=> @t403 (= @t238 (and @t401 @t239))))) 0.50/0.96 (assume @p307 (forall (@list @v.1.List @v.1.List2) (=> (= @t430 @t489) (=> (=> @t431 (=> (not @t489) (and (= @t429 (_ tptp.hd_val @v.1.List2)) (= @t428 (_ tptp.tl_val @v.1.List2))))) (= @v.1.List @v.1.List2))))) 0.50/0.96 (assume @p308 (forall @t169 (= (_ @t466 tptp.nil_node) @v.0.A))) 0.50/0.96 (assume @p309 (forall @t295 (=> @t293 (=> @t490 @t294)))) 0.50/0.96 (assume @p310 (forall @t117 (not (= tptp.nil_node @t116)))) 0.50/0.96 (assume @p311 (_ (_ @t147 tptp.ms2) tptp.i)) 0.50/0.96 (assume @p312 (forall @t221 (=> @t151 (= (_ tptp.tl_node @t145) (_ (_ tptp.append_node @t70) @v.1.Ys))))) 0.50/0.96 (assume @p313 (forall @t421 (=> (_ @t394 @t304) @t305))) 0.50/0.96 (assume @p314 (forall @t465 (= @t464 (or (exists (@list @v.0.Ns5 @v.0.N6) (and (= @v.0.A (_ (_ tptp.cons_node @v.0.N6) @v.0.Ns5)) (_ @t58 @v.0.Ns5) (_ (_ tptp.member_node @v.0.N6) (_ tptp.set_node2 (_ @t79 (_ tptp.hd_node @v.0.Ns5)))))) (exists (@list @v.0.N5) (and (= @v.0.A (_ (_ tptp.cons_node @v.0.N5) tptp.nil_node)) @t75 (_ (_ tptp.member_node @v.0.N5) @t73))))))) 0.50/0.96 (assume @p315 (forall @t309 (=> @t263 (exists @t492 @t491)))) 0.50/0.96 (assume @p316 (forall @t126 (= (= tptp.nil_val @t124) (and @t259 @t82)))) 0.50/0.96 (assume @p317 (_ (_ tptp.member_val tptp.r) (_ (_ (_ (_ (_ tptp.sSA_CF848637139eD_val tptp.alpha_n) tptp.inEdges) tptp.phis) tptp.g2) tptp.pred_phi_r))) 0.50/0.96 (assume @p318 (forall (@list @v.5.A) (= (_ (_ tptp.append_list_node @v.5.A) tptp.nil_list_node) @v.5.A))) 0.50/0.96 (assume @p319 (forall (@list @v.0.G @v.0.N @v.0.M) (not (_ (_ @t27 tptp.nil_node) @v.0.M)))) 0.50/0.96 (assume @p320 (forall (@list @v.2.E3 @v.1.L1 @v.2.E @v.1.L2) (= (= @t495 @t494) (and @t183 @t188 @t493)))) 0.50/0.96 (assume @p321 (forall @t103 (= @t500 (exists (@list @v.1.Ys2 @v.0.X3) (and @t404 (forall @t499 (=> (_ @t498 @t329) @t497)) (exists @t214 @t496)))))) 0.50/0.96 (assume @p322 (forall (@list @v.1.L1 @v.2.E @v.1.L2 @v.2.E3) (= (= @t494 @t495) (and @t493 @t188 @t183)))) 0.50/0.96 (assume @p323 (forall (@list @v.1.Ys @v.0.Zs @v.1.Xs) (=> (= @v.1.Ys @t319) @t305))) 0.50/0.96 (assume @p324 (forall @t192 (=> @t34 (=> (=> (= @v.0.Ns @t85) (not (= @v.0.M @v.0.N))) (not (=> (_ (_ (_ @t23 @t502) @t501) @v.0.M) (not (_ @t76 (_ tptp.set_node2 (_ @t79 @t502)))))))))) 0.50/0.96 (assume @p325 (forall @t221 (=> @t305 (_ @t149 @t262)))) 0.50/0.96 (assume @p326 (forall @t169 (=> @t484 @t167))) 0.50/0.96 (assume @p327 (forall (@list @v.0.Ps2 @v.0.Ls) (=> @t356 (=> (=> (not (= @v.0.Ps2 tptp.nil_node)) (not (= @v.0.Ls tptp.nil_node))) (=> (forall (@list @v.0.A3 @v.0.As) (=> @t505 (forall @t7 (=> @t504 (=> @t503 (_ (_ tptp.suffix_node @v.0.As) @v.0.Xs2)))))) (not (forall (@list @v.0.A3) (=> (exists (@list @v.0.As) @t505) (forall @t43 (=> (exists @t204 @t504) @t503)))))))))) 0.50/0.96 (assume @p328 (forall @t84 (= (= tptp.nil_val @t9) (or @t467 @t82)))) 0.50/0.96 (assume @p329 (forall (@list @v.1.L1 @v.1.L2 @v.1.A) (=> @t393 (= @t506 (and @t392 @t188))))) 0.50/0.96 (assume @p330 (forall @t309 (=> @t263 (exists @t492 (and (not (_ @t31 @t299)) @t491))))) 0.50/0.96 (assume @p331 (forall @t119 (= (_ tptp.tl_val @t115) @v.0.X22))) 0.50/0.96 (assume @p332 (forall (@list @v.0.Zs @v.1.Xs @v.1.Ys) (=> (_ (_ tptp.suffix_node @t319) @v.1.Ys) @t305))) 0.50/0.96 (assume @p333 (=> @t337 (=> (=> @t337 @t383) (not (=> @t337 @t382))))) 0.50/0.96 (assume @p334 (forall @t169 (_ @t487 @v.0.A))) 0.50/0.96 (assume @p335 (forall @t309 (=> @t263 (exists @t492 (and (not (_ @t31 @t88)) @t491))))) 0.50/0.96 (assume @p336 (forall @t462 (_ @t292 @v.2.X))) 0.50/0.96 (assume @p337 (forall (@list @v.1.X @v.1.L @v.0.Y) (=> @t427 (=> (_ @t16 @t268) (=> (=> @t379 (forall @t267 (not (= @v.1.L (_ @t266 (_ @t211 @v.0.L22)))))) (=> (=> @t509 (forall @t508 (not (= @v.1.L (_ @t266 (_ @t17 (_ @t507 (_ @t211 @v.1.L3)))))))) (not (=> @t509 (forall @t508 (not (= @v.1.L (_ @t266 (_ @t211 (_ @t507 (_ @t17 @v.1.L3))))))))))))))) 0.50/0.96 (assume @p338 (forall @t355 (=> @t354 (=> (forall @t7 (_ @t197 tptp.nil_node)) (=> (forall @t352 (_ @t206 @t196)) (=> (forall @t203 (=> @t350 @t198)) @t344)))))) 0.50/0.96 (assume @p339 (forall @t103 (= @t500 (exists (@list @v.1.Ys2 @v.0.X3 @v.1.Zs3) (and @t404 (forall @t499 (=> (_ @t498 @t388) @t497)) @t496))))) 0.50/0.96 (assume @p340 (forall (@list @v.2.Y @v.2.X) (=> @t490 (= @t293 @t294)))) 0.50/0.96 (assume @p341 (forall (@list @v.4.P @v.0.W1 @v.0.W2) (=> @t354 (=> (forall (@list @v.0.E4 @v.0.W12 @v.0.W22) (=> (_ (_ @v.4.P @v.0.W12) @v.0.W22) (_ (_ @v.4.P (_ @t396 @v.0.W12)) @v.0.W22))) (=> (forall (@list @v.0.E4 @v.0.W13 @v.0.W23) (=> (_ @t510 @v.0.W23) (_ @t510 (_ @t396 @v.0.W23)))) (_ (_ @v.4.P @v.0.W1) @v.0.W2)))))) 0.50/0.96 (assume @p342 (forall (@list @v.1.L2 @v.1.L1 @v.1.A) (=> @t189 (= @t506 @t184)))) 0.50/0.96 (assume @p343 (forall @t445 (= @t444 (or (and @t442 @t287) (exists @t436 (and (= @v.1.Ys @t435) (= @t434 @v.1.Xs))))))) 0.50/0.96 (assume @p344 (forall (@list @v.0.L1 @v.0.L2 @v.0.A) (=> @t478 (= @t179 @t477)))) 0.50/0.96 (assume @p345 (forall @t162 (=> @t161 (= @t159 @v.0.List)))) 0.50/0.96 (assume @p346 (not (= tptp.r tptp.phi_r))) 0.50/0.96 (assume @p347 (forall @t341 (=> @t340 (=> (forall (@list @v.0.P2 @v.0.X4 @v.0.Ys3) (=> (_ @t339 @v.0.Ys3) (_ @t339 @t143))) @t338)))) 0.50/0.96 (assume @p348 (forall (@list @v.2.List @v.2.List2) (=> (= @t455 @t511) (=> (=> @t456 (=> (not @t511) (and (= @t454 (_ tptp.hd_list_node @v.2.List2)) (= @t453 (_ tptp.tl_list_node @v.2.List2))))) (= @v.2.List @v.2.List2))))) 0.50/0.96 (assume @p349 (forall @t14 (=> @t488 @t12))) 0.50/0.96 (assume @p350 (forall @t318 (= (_ @t334 @t317) (_ (_ tptp.prefix_node @v.1.Ys) @v.0.Zs)))) 0.50/0.96 (assume @p351 (= @t365 (lambda @t364 (and @t362 @t363)))) 0.50/0.96 (assume @p352 (forall @t322 (= (= @t320 @t319) @t316))) 0.50/0.96 (assume @p353 (forall @t463 (=> @t151 (=> @t44 (=> (forall @t7 (=> @t412 @t486)) @t405))))) 0.50/0.96 (assume @p354 true) 0.50/0.96 ; WARNING: add trust step for TRUST 0.50/0.96 ; trust TRUST 0.50/0.96 (step @p355 :rule trust :premises () :args ((= @t527 @t525))) 0.50/0.96 ; WARNING: add trust step for MACRO_SR_EQ_INTRO 0.50/0.96 ; trust MACRO_SR_EQ_INTRO 0.50/0.96 (step @p356 :rule trust :premises () :args ((= @t229 @t527))) 0.50/0.96 (step @p357 :rule trans :premises (@p356 @p355)) 0.50/0.96 (step @p358 :rule eq_resolve :premises (@p55 @p357)) 0.50/0.96 ; trust TRUST 0.50/0.96 (step @p359 :rule trust :premises () :args ((= @t532 @t531))) 0.50/0.96 ; trust MACRO_SR_EQ_INTRO 0.50/0.96 (step @p360 :rule trust :premises () :args ((= @t220 (= tptp.suffix_node (lambda @t219 (not (forall @t214 (not (= @v.1.Ys2 (tptp.append_node @v.1.Zs3 @v.0.Xs3)))))))))) 0.50/0.96 (step @p361 :rule eq_resolve :premises (@p51 @p360)) 0.50/0.96 (step @p362 :rule and_intro :premises (@p136 @p75 @p54 @p361)) 0.50/0.96 ; trust MACRO_SR_EQ_INTRO 0.50/0.96 (step @p363 :rule trust :premises (@p362) :args ((= @t210 @t532))) 0.50/0.96 (step @p364 :rule trans :premises (@p363 @p359)) 0.50/0.96 (step @p365 :rule eq_resolve :premises (@p49 @p364)) 0.50/0.96 ; trust TRUST 0.50/0.96 (step @p366 :rule trust :premises () :args ((= @t448 (not @t533)))) 0.50/0.96 (step @p367 :rule eq_resolve :premises (@p208 @p366)) 0.50/0.96 (step @p368 :rule cnf_or_pos :args (@t535)) 0.50/0.96 (step @p369 :rule reordering :premises (@p368) :args ((or @t533 @t534 @t536))) 0.50/0.96 ; WARNING: add trust step for MACRO_RESOLUTION_TRUST 0.50/0.96 ; trust MACRO_RESOLUTION_TRUST 0.50/0.96 (step @p370 :rule trust :premises (@p369 @p367 @p365) :args (@t536)) 0.50/0.96 (assume-push @p371 @t525) 0.50/0.96 (step @p372 :rule instantiate :premises (@p358) :args ((@list tptp.g2 @t529 tptp.tmp tptp.i tptp.rs_rest tptp.pred_phi_r))) 0.50/0.96 (step-pop @p376 :rule scope :premises (@p372)) 0.50/0.96 (step @p373 :rule process_scope :premises (@p376) :args (@t535)) 0.50/0.96 (step @p375 :rule implies_elim :premises (@p373)) 0.50/0.96 ; trust MACRO_RESOLUTION_TRUST 0.50/0.96 (step @p376 false :rule trust :premises (@p375 @p370 @p358) :args (false)) 0.50/0.96 0.50/0.96 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.AnmDc9RdIF/cvc5---1.0.5_31689.smt2 0.50/0.96 % cvc5---1.0.5 exiting 0.50/0.96 % cvc5---1.0.5 exiting 0.50/0.97 EOF