0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : do_cvc5 %s %d THM 0.12/0.33 % Computer : n016.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Thu Jul 4 07:47:09 EDT 2024 0.12/0.33 % CPUTime : 0.19/0.53 %----Proving TF0_ARI 16.13/16.57 --- Run --finite-model-find --decision=internal at 15... 16.13/16.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --enum-inst at 10... 16.13/16.57 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.357uM1SNAS/cvc5---1.0.5_23023.smt2 16.13/16.57 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.357uM1SNAS/cvc5---1.0.5_23023.smt2 16.13/16.57 (declare-sort tptp.param 0) 16.13/16.57 (declare-sort tptp.bool 0) 16.13/16.57 (declare-sort tptp.tuple0 0) 16.13/16.57 (declare-sort tptp.map_int_elt 0) 16.13/16.57 (declare-sort tptp.array_elt 0) 16.13/16.57 (declare-sort tptp.ty 0) 16.13/16.57 (declare-sort tptp.uni 0) 16.13/16.57 (declare-sort tptp.elt 0) 16.13/16.57 (declare-fun tptp.tuple02 () tptp.tuple0) 16.13/16.57 (declare-fun tptp.array_eq (tptp.ty tptp.uni tptp.uni) Bool) 16.13/16.57 (declare-fun tptp.array_eq_sub (tptp.ty tptp.uni tptp.uni Int Int) Bool) 16.13/16.57 (declare-fun tptp.mk_ref (tptp.ty tptp.uni) tptp.uni) 16.13/16.57 (declare-fun tptp.make (tptp.ty Int tptp.uni) tptp.uni) 16.13/16.57 (declare-fun tptp.witness (tptp.ty) tptp.uni) 16.13/16.57 (declare-fun tptp.ref (tptp.ty) tptp.ty) 16.13/16.57 (declare-fun tptp.sorted1 (tptp.param tptp.array_elt) Bool) 16.13/16.57 (declare-fun tptp.array (tptp.ty) tptp.ty) 16.13/16.57 (declare-fun tptp.true () tptp.bool) 16.13/16.57 (declare-fun tptp.length (tptp.ty tptp.uni) Int) 16.13/16.57 (declare-fun tptp.mk_array (tptp.ty Int tptp.uni) tptp.uni) 16.13/16.57 (declare-fun tptp.get1 (tptp.ty tptp.uni Int) tptp.uni) 16.13/16.57 (declare-fun tptp.tb2t3 (tptp.uni) tptp.array_elt) 16.13/16.57 (declare-fun tptp.match_bool (tptp.ty tptp.bool tptp.uni tptp.uni) tptp.uni) 16.13/16.57 (declare-fun tptp.tb2t (tptp.uni) Int) 16.13/16.57 (declare-fun tptp.get (tptp.ty tptp.ty tptp.uni tptp.uni) tptp.uni) 16.13/16.57 (declare-fun tptp.exchange (tptp.ty tptp.uni tptp.uni Int Int Int Int) Bool) 16.13/16.57 (declare-fun tptp.t2tb (Int) tptp.uni) 16.13/16.57 (declare-fun tptp.sort (tptp.ty tptp.uni) Bool) 16.13/16.57 (declare-fun tptp.elts (tptp.ty tptp.uni) tptp.uni) 16.13/16.57 (declare-fun tptp.int () tptp.ty) 16.13/16.57 (declare-fun tptp.le (tptp.param tptp.elt tptp.elt) Bool) 16.13/16.57 (declare-fun tptp.permut (tptp.ty tptp.uni tptp.uni Int Int) Bool) 16.13/16.57 (declare-fun tptp.occ (tptp.ty tptp.uni tptp.uni Int Int) Int) 16.13/16.57 (declare-fun tptp.tb2t4 (tptp.uni) tptp.elt) 16.13/16.57 (declare-fun tptp.set (tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni) tptp.uni) 16.13/16.57 (declare-fun tptp.permut1 (tptp.ty tptp.uni tptp.uni Int Int) Bool) 16.13/16.57 (declare-fun tptp.set1 (tptp.ty tptp.uni Int tptp.uni) tptp.uni) 16.13/16.57 (declare-fun tptp.const (tptp.ty tptp.ty tptp.uni) tptp.uni) 16.13/16.57 (declare-fun tptp.permut_all (tptp.ty tptp.uni tptp.uni) Bool) 16.13/16.57 (declare-fun tptp.map_eq_sub (tptp.ty tptp.uni tptp.uni Int Int) Bool) 16.13/16.57 (declare-fun tptp.permut_sub (tptp.ty tptp.uni tptp.uni Int Int) Bool) 16.13/16.57 (declare-fun tptp.t2tb5 (tptp.map_int_elt) tptp.uni) 16.13/16.57 (declare-fun tptp.contents (tptp.ty tptp.uni) tptp.uni) 16.13/16.57 (declare-fun tptp.t2tb4 (tptp.elt) tptp.uni) 16.13/16.57 (declare-fun tptp.elt1 () tptp.ty) 16.13/16.57 (declare-fun tptp.tb2t5 (tptp.uni) tptp.map_int_elt) 16.13/16.57 (declare-fun tptp.map (tptp.ty tptp.ty) tptp.ty) 16.13/16.57 (declare-fun tptp.exchange1 (tptp.ty tptp.uni tptp.uni Int Int) Bool) 16.13/16.57 (declare-fun tptp.sorted_sub2 (tptp.param tptp.array_elt Int Int) Bool) 16.13/16.57 (declare-fun tptp.false () tptp.bool) 16.13/16.57 (declare-fun tptp.t2tb3 (tptp.array_elt) tptp.uni) 16.13/16.57 (define @v.0.U1 () (alf.var "U1" tptp.uni)) 16.13/16.57 (define @v.1.A () (alf.var "A" tptp.array_elt)) 16.13/16.57 (define @v.1.X () (alf.var "X" tptp.bool)) 16.13/16.57 (define @v.0.X2 () (alf.var "X2" tptp.uni)) 16.13/16.57 (define @v.0.L1 () (alf.var "L1" Int)) 16.13/16.57 (define @v.1.U1 () (alf.var "U1" Int)) 16.13/16.57 (define @v.1.A3 () (alf.var "A3" tptp.map_int_elt)) 16.13/16.57 (define @v.0.U2 () (alf.var "U2" Int)) 16.13/16.57 (define @v.1.A1 () (alf.var "A1" tptp.map_int_elt)) 16.13/16.57 (define @v.0.N () (alf.var "N" Int)) 16.13/16.57 (define @v.0.K () (alf.var "K" Int)) 16.13/16.57 (define @v.3.X () (alf.var "X" tptp.uni)) 16.13/16.57 (define @v.2.X () (alf.var "X" tptp.elt)) 16.13/16.57 (define @v.0.M () (alf.var "M" tptp.uni)) 16.13/16.57 (define @v.0.I1 () (alf.var "I1" Int)) 16.13/16.57 (define @v.0.B1 () (alf.var "B1" tptp.uni)) 16.13/16.57 (define @v.2.Z () (alf.var "Z" tptp.uni)) 16.13/16.57 (define @v.1.I () (alf.var "I" tptp.map_int_elt)) 16.13/16.57 (define @v.1.X1 () (alf.var "X1" Int)) 16.13/16.57 (define @v.0.A1 () (alf.var "A1" tptp.uni)) 16.13/16.57 (define @v.0.I () (alf.var "I" Int)) 16.13/16.57 (define @v.0.Mid () (alf.var "Mid" Int)) 16.13/16.57 (define @v.0.X1 () (alf.var "X1" tptp.uni)) 16.13/16.57 (define @v.0.I2 () (alf.var "I2" Int)) 16.13/16.57 (define @v.0.Z () (alf.var "Z" Int)) 16.13/16.57 (define @v.1.Y () (alf.var "Y" tptp.elt)) 16.13/16.57 (define @v.0.L () (alf.var "L" Int)) 16.13/16.57 (define @v.0.M2 () (alf.var "M2" tptp.uni)) 16.13/16.57 (define @v.2.A () (alf.var "A" Int)) 16.13/16.57 (define @v.0.J () (alf.var "J" tptp.uni)) 16.13/16.57 (define @v.0.V () (alf.var "V" tptp.uni)) 16.13/16.57 (define @v.1.Z () (alf.var "Z" tptp.elt)) 16.13/16.57 (define @v.0.A () (alf.var "A" tptp.ty)) 16.13/16.57 (define @v.0.M1 () (alf.var "M1" tptp.uni)) 16.13/16.57 (define @v.0.L2 () (alf.var "L2" Int)) 16.13/16.57 (define @v.0.K1 () (alf.var "K1" Int)) 16.13/16.57 (define @v.1.J () (alf.var "J" Int)) 16.13/16.57 (define @v.0.B () (alf.var "B" tptp.ty)) 16.13/16.57 (define @v.0.X () (alf.var "X" Int)) 16.13/16.57 (define @v.0.Y () (alf.var "Y" Int)) 16.13/16.57 (define @v.0.A3 () (alf.var "A3" tptp.uni)) 16.13/16.57 (define @v.0.A2 () (alf.var "A2" tptp.uni)) 16.13/16.57 (define @v.0.U () (alf.var "U" Int)) 16.13/16.57 (define @v.0.A5 () (alf.var "A5" tptp.map_int_elt)) 16.13/16.57 (define @v.0.BOUND_VARIABLE_1768 () (alf.var "BOUND_VARIABLE_1768" Int)) 16.13/16.57 (define @v.1.U () (alf.var "U" tptp.bool)) 16.13/16.57 (define @v.0.A4 () (alf.var "A4" tptp.map_int_elt)) 16.13/16.57 (define @v.4.X () (alf.var "X" tptp.map_int_elt)) 16.13/16.57 (define @v.0.J1 () (alf.var "J1" Int)) 16.13/16.57 (define @v.0.K2 () (alf.var "K2" Int)) 16.13/16.57 (define @v.1.A2 () (alf.var "A2" tptp.map_int_elt)) 16.13/16.57 (define @v.5.X () (alf.var "X" tptp.array_elt)) 16.13/16.57 (define @v.2.U () (alf.var "U" tptp.uni)) 16.13/16.57 (define @v.0.Z1 () (alf.var "Z1" tptp.uni)) 16.13/16.57 (define @v.0.P () (alf.var "P" tptp.param)) 16.13/16.57 (define @v.2.I () (alf.var "I" tptp.elt)) 16.13/16.57 (define @v.3.I () (alf.var "I" tptp.array_elt)) 16.13/16.57 (define @v.3.U () (alf.var "U" tptp.tuple0)) 16.13/16.57 (define @v.0.BOUND_VARIABLE_1770 () (alf.var "BOUND_VARIABLE_1770" tptp.map_int_elt)) 16.13/16.57 (define @v.0.BOUND_VARIABLE_1772 () (alf.var "BOUND_VARIABLE_1772" Int)) 16.13/16.57 (define @v.0.BOUND_VARIABLE_1766 () (alf.var "BOUND_VARIABLE_1766" tptp.map_int_elt)) 16.13/16.57 (define @t1 () (= (tptp.occ @v.0.A @v.0.V @v.0.M1 @v.0.L @v.0.U) (tptp.occ @v.0.A @v.0.V @v.0.M2 @v.0.L @v.0.U))) 16.13/16.57 (define @t2 () (@list @v.0.V)) 16.13/16.57 (define @t3 () (tptp.permut @v.0.A @v.0.M1 @v.0.M2 @v.0.L @v.0.U)) 16.13/16.57 (define @t4 () (tptp.sort @v.0.A @v.0.V)) 16.13/16.57 (define @t5 () (@list @v.0.J)) 16.13/16.57 (define @t6 () (tptp.t2tb @v.0.I)) 16.13/16.57 (define @t7 () (tptp.elts @v.0.A @v.0.A1)) 16.13/16.57 (define @t8 () (forall (@list @v.0.A @v.0.A1 @v.0.I) (= (tptp.get1 @v.0.A @v.0.A1 @v.0.I) (tptp.get @v.0.A tptp.int @t7 @t6)))) 16.13/16.57 (define @t9 () (tptp.get @v.0.A tptp.int @v.0.M @t6)) 16.13/16.57 (define @t10 () (< @v.0.I @v.0.U)) 16.13/16.57 (define @t11 () (<= @v.0.L @v.0.I)) 16.13/16.57 (define @t12 () (and @t11 @t10)) 16.13/16.57 (define @t13 () (tptp.mk_array @v.0.A @v.0.U @v.0.U1)) 16.13/16.57 (define @t14 () (tptp.length @v.0.A @t13)) 16.13/16.57 (define @t15 () (@list @v.0.A @v.0.U @v.0.U1)) 16.13/16.57 (define @t16 () (forall @t15 (= @t14 @v.0.U))) 16.13/16.57 (define @t17 () (tptp.occ @v.0.A @v.0.V @v.0.M @v.0.L @v.0.U)) 16.13/16.57 (define @t18 () (@list @v.0.A @v.0.V @v.0.M @v.0.L @v.0.U)) 16.13/16.57 (define @t19 () (= @t17 0)) 16.13/16.57 (define @t20 () (tptp.exchange @v.0.A @v.0.A1 @v.0.A2 @v.0.L @v.0.U @v.0.I @v.1.J)) 16.13/16.57 (define @t21 () (tptp.t2tb @v.1.J)) 16.13/16.57 (define @t22 () (tptp.get @v.0.A tptp.int @v.0.A1 @t6)) 16.13/16.57 (define @t23 () (= @t22 (tptp.get @v.0.A tptp.int @v.0.A2 @t21))) 16.13/16.57 (define @t24 () (tptp.t2tb @v.0.K)) 16.13/16.57 (define @t25 () (= (tptp.get @v.0.A tptp.int @v.0.A1 @t24) (tptp.get @v.0.A tptp.int @v.0.A2 @t24))) 16.13/16.57 (define @t26 () (@list @v.0.K)) 16.13/16.57 (define @t27 () (tptp.get @v.0.A tptp.int @v.0.A2 @t6)) 16.13/16.57 (define @t28 () (tptp.get @v.0.A tptp.int @v.0.A1 @t21)) 16.13/16.57 (define @t29 () (= @t28 @t27)) 16.13/16.57 (define @t30 () (< @v.1.J @v.0.U)) 16.13/16.57 (define @t31 () (<= @v.0.L @v.1.J)) 16.13/16.57 (define @t32 () (@list @v.0.A @v.0.A1 @v.0.A2 @v.0.L @v.0.U @v.0.I @v.1.J)) 16.13/16.57 (define @t33 () (forall @t32 (= (and @t11 @t31 @t30 @t29 (forall @t26 (=> (and (< @v.0.K @v.0.U) (<= @v.0.L @v.0.K)) (=> (not (= @v.0.K @v.0.I)) (=> (not (= @v.0.K @v.1.J)) @t25)))) @t23 @t10) @t20))) 16.13/16.57 (define @t34 () (tptp.length @v.0.A @v.0.A1)) 16.13/16.57 (define @t35 () (- @v.0.U 1)) 16.13/16.57 (define @t36 () (tptp.occ @v.0.A @v.0.V @v.0.M @v.0.L @t35)) 16.13/16.57 (define @t37 () (= (tptp.get @v.0.A tptp.int @v.0.M (tptp.t2tb @t35)) @v.0.V)) 16.13/16.57 (define @t38 () (< @v.0.L @v.0.U)) 16.13/16.57 (define @t39 () (tptp.sort @v.0.B @v.0.B1)) 16.13/16.57 (define @t40 () (tptp.permut1 @v.0.A @v.0.A1 @v.0.A2 @v.0.L @v.0.U)) 16.13/16.57 (define @t41 () (tptp.elts @v.0.A @v.0.A2)) 16.13/16.57 (define @t42 () (tptp.permut_sub @v.0.A @v.0.A1 @v.0.A2 @v.0.L @v.0.U)) 16.13/16.57 (define @t43 () (@list @v.0.A @v.0.A1 @v.0.A2 @v.0.L @v.0.U)) 16.13/16.57 (define @t44 () (tptp.le @v.0.P @v.1.Y @v.2.X)) 16.13/16.57 (define @t45 () (tptp.le @v.0.P @v.2.X @v.1.Y)) 16.13/16.57 (define @t46 () (not @t45)) 16.13/16.57 (define @t47 () (@list @v.0.P @v.2.X @v.1.Y)) 16.13/16.57 (define @t48 () (forall @t47 (=> @t46 @t44))) 16.13/16.57 (define @t49 () (@list @v.0.A @v.3.X)) 16.13/16.57 (define @t50 () (tptp.map tptp.int @v.0.A)) 16.13/16.57 (define @t51 () (tptp.permut @v.0.A @v.0.A1 @v.0.A2 @v.0.L @v.0.U)) 16.13/16.57 (define @t52 () (tptp.permut_all @v.0.A @v.0.A1 @v.0.A2)) 16.13/16.57 (define @t53 () (tptp.exchange1 @v.0.A @v.0.A1 @v.0.A2 @v.0.I @v.1.J)) 16.13/16.57 (define @t54 () (@list @v.0.A @v.0.A1 @v.0.A2 @v.0.I @v.1.J)) 16.13/16.57 (define @t55 () (= @t34 (tptp.length @v.0.A @v.0.A2))) 16.13/16.57 (define @t56 () (tptp.sorted_sub2 @v.0.P @v.1.A @v.0.L @v.0.U)) 16.13/16.57 (define @t57 () (tptp.t2tb3 @v.1.A)) 16.13/16.57 (define @t58 () (tptp.le @v.0.P (tptp.tb2t4 (tptp.get1 tptp.elt1 @t57 @v.0.I1)) (tptp.tb2t4 (tptp.get1 tptp.elt1 @t57 @v.0.I2)))) 16.13/16.57 (define @t59 () (@list @v.0.I1 @v.0.I2)) 16.13/16.57 (define @t60 () (@list @v.0.P @v.1.A @v.0.L @v.0.U)) 16.13/16.57 (define @t61 () (forall @t60 (= (forall @t59 (=> (and (< @v.0.I2 @v.0.U) (<= @v.0.I1 @v.0.I2) (<= @v.0.L @v.0.I1)) @t58)) @t56))) 16.13/16.57 (define @t62 () (tptp.get @v.0.B @v.0.A (tptp.set @v.0.B @v.0.A @v.0.M @v.0.A1 @v.0.B1) @v.0.A2)) 16.13/16.57 (define @t63 () (= @v.0.A1 @v.0.A2)) 16.13/16.57 (define @t64 () (@list @v.0.A @v.0.A1 @v.0.A2)) 16.13/16.57 (define @t65 () (tptp.le @v.0.P @v.2.X @v.1.Z)) 16.13/16.57 (define @t66 () (tptp.le @v.0.P @v.1.Y @v.1.Z)) 16.13/16.57 (define @t67 () (@list @v.0.P @v.2.X @v.1.Y @v.1.Z)) 16.13/16.57 (define @t68 () (forall @t67 (=> (and @t45 @t66) @t65))) 16.13/16.57 (define @t69 () (and @t10 @t11)) 16.13/16.57 (define @t70 () (tptp.map tptp.int tptp.elt1)) 16.13/16.57 (define @t71 () (tptp.array @v.0.A)) 16.13/16.57 (define @t72 () (tptp.map @v.0.A @v.0.B)) 16.13/16.57 (define @t73 () (+ @v.0.I 1)) 16.13/16.57 (define @t74 () (tptp.mk_array tptp.elt1 @v.2.A (tptp.t2tb5 @v.0.A5))) 16.13/16.57 (define @t75 () (- @v.1.J 1)) 16.13/16.57 (define @t76 () (tptp.t2tb5 @v.1.A3)) 16.13/16.57 (define @t77 () (tptp.mk_array tptp.elt1 @v.2.A @t76)) 16.13/16.57 (define @t78 () (tptp.get tptp.elt1 tptp.int @t76 @t21)) 16.13/16.57 (define @t79 () (tptp.t2tb @t75)) 16.13/16.57 (define @t80 () (<= 0 @v.2.A)) 16.13/16.57 (define @t81 () (< @t75 @v.2.A)) 16.13/16.57 (define @t82 () (<= 0 @t75)) 16.13/16.57 (define @t83 () (and @t82 @t81)) 16.13/16.57 (define @t84 () (tptp.get tptp.elt1 tptp.int @t76 @t79)) 16.13/16.57 (define @t85 () (< @v.1.J @v.2.A)) 16.13/16.57 (define @t86 () (<= 0 @v.1.J)) 16.13/16.57 (define @t87 () (and @t86 @t85)) 16.13/16.57 (define @t88 () (tptp.mk_array tptp.elt1 @v.2.A (tptp.t2tb5 @v.1.A1))) 16.13/16.57 (define @t89 () (tptp.tb2t3 @t77)) 16.13/16.57 (define @t90 () (tptp.t2tb @v.0.K2)) 16.13/16.57 (define @t91 () (tptp.t2tb @v.0.K1)) 16.13/16.57 (define @t92 () (@list @v.0.K1 @v.0.K2)) 16.13/16.57 (define @t93 () (tptp.mk_array tptp.elt1 @v.2.A (tptp.t2tb5 @v.1.A2))) 16.13/16.57 (define @t94 () (- @v.2.A 1)) 16.13/16.57 (define @t95 () (not (forall (@list @v.0.P @v.2.A @v.1.A1) (=> @t80 (=> (<= 0 @t94) (forall (@list @v.1.A2 @v.0.I) (=> (and (<= @v.0.I @t94) (<= 0 @v.0.I)) (=> (and (tptp.permut_all tptp.elt1 @t88 @t93) (tptp.sorted_sub2 @v.0.P (tptp.tb2t3 @t93) 0 @v.0.I)) (forall (@list @v.1.J @v.1.A3) (=> (and @t86 (forall @t92 (=> (and (<= @v.0.K2 @v.0.I) (<= (+ @v.1.J 1) @v.0.K2) (< @v.0.K1 @v.1.J) (<= 0 @v.0.K1)) (tptp.le @v.0.P (tptp.tb2t4 (tptp.get tptp.elt1 tptp.int @t76 @t91)) (tptp.tb2t4 (tptp.get tptp.elt1 tptp.int @t76 @t90))))) (tptp.sorted_sub2 @v.0.P @t89 @v.1.J @t73) (tptp.sorted_sub2 @v.0.P @t89 0 @v.1.J) (tptp.permut_all tptp.elt1 @t88 @t77) (<= @v.1.J @v.0.I)) (=> (< 0 @v.1.J) (=> (and @t80 @t86 @t85) (=> @t83 (=> (not (tptp.le @v.0.P (tptp.tb2t4 @t84) (tptp.tb2t4 @t78))) (=> @t87 (=> (and @t81 @t82) (=> @t87 (forall (@list @v.0.A4) (=> (and (= @v.0.A4 (tptp.tb2t5 (tptp.set tptp.elt1 tptp.int @t76 @t21 @t84))) @t80) (=> @t83 (forall (@list @v.0.A5) (=> (and @t80 (= @v.0.A5 (tptp.tb2t5 (tptp.set tptp.elt1 tptp.int (tptp.t2tb5 @v.0.A4) @t79 @t78)))) (=> (tptp.exchange1 tptp.elt1 @t77 @t74 @t75 @v.1.J) (forall (@list @v.0.J1) (=> (= @v.0.J1 @t75) (tptp.sorted_sub2 @v.0.P (tptp.tb2t3 @t74) @v.0.J1 @t73)))))))))))))))))))))))))) 16.13/16.57 (define @t96 () (@list @v.0.A @v.2.U)) 16.13/16.57 (define @t97 () (tptp.ref @v.0.A)) 16.13/16.57 (define @t98 () (@list @v.0.A @v.2.Z @v.0.Z1)) 16.13/16.57 (define @t99 () (forall (@list @v.0.A @v.0.B @v.0.M @v.0.A1 @v.0.A2 @v.0.B1) (=> @t39 (=> @t63 (= @t62 @v.0.B1))))) 16.13/16.57 (define @t100 () (@list @v.0.I)) 16.13/16.57 (define @t101 () (and @t31 @t30)) 16.13/16.57 (define @t102 () (<= @v.0.U @t34)) 16.13/16.57 (define @t103 () (<= 0 @v.0.L)) 16.13/16.57 (define @t104 () (tptp.elts @v.0.A @t13)) 16.13/16.57 (define @t105 () (tptp.sort @t50 @v.0.U1)) 16.13/16.57 (define @t106 () (forall @t15 (=> @t105 (= @t104 @v.0.U1)))) 16.13/16.57 (define @t107 () (@list @v.0.A @v.0.X @v.0.X1)) 16.13/16.57 (define @t108 () (= @t9 @v.0.V)) 16.13/16.57 (define @t109 () (tptp.t2tb5 (tptp.tb2t5 @v.0.J))) 16.13/16.57 (define @t110 () (tptp.sort @t70 @v.0.J)) 16.13/16.57 (define @t111 () (forall @t5 (=> @t110 (= @t109 @v.0.J)))) 16.13/16.57 (define @t112 () (<= @v.0.L @t34)) 16.13/16.57 (define @t113 () (<= 0 @v.0.U)) 16.13/16.57 (define @t114 () (tptp.t2tb3 (tptp.tb2t3 @v.0.J))) 16.13/16.57 (define @t115 () (forall @t5 (= @t114 @v.0.J))) 16.13/16.57 (define @t116 () (+ 1 @v.0.BOUND_VARIABLE_1768)) 16.13/16.57 (define @t117 () (+ -1 @v.0.BOUND_VARIABLE_1772)) 16.13/16.57 (define @t118 () (tptp.t2tb @v.0.BOUND_VARIABLE_1772)) 16.13/16.57 (define @t119 () (tptp.t2tb5 @v.0.BOUND_VARIABLE_1770)) 16.13/16.57 (define @t120 () (tptp.get tptp.elt1 tptp.int @t119 @t118)) 16.13/16.57 (define @t121 () (tptp.t2tb @t117)) 16.13/16.57 (define @t122 () (tptp.get tptp.elt1 tptp.int @t119 @t121)) 16.13/16.57 (define @t123 () (tptp.mk_array tptp.elt1 @v.2.A (tptp.t2tb5 (tptp.tb2t5 (tptp.set tptp.elt1 tptp.int (tptp.t2tb5 (tptp.tb2t5 (tptp.set tptp.elt1 tptp.int @t119 @t118 @t122))) @t121 @t120))))) 16.13/16.57 (define @t124 () (tptp.mk_array tptp.elt1 @v.2.A @t119)) 16.13/16.57 (define @t125 () (* -1 @v.0.BOUND_VARIABLE_1772)) 16.13/16.57 (define @t126 () (+ @v.2.A @t125)) 16.13/16.57 (define @t127 () (tptp.tb2t3 @t124)) 16.13/16.57 (define @t128 () (not (>= @v.0.K1 0))) 16.13/16.57 (define @t129 () (* -1 @v.0.BOUND_VARIABLE_1768)) 16.13/16.57 (define @t130 () (tptp.mk_array tptp.elt1 @v.2.A (tptp.t2tb5 @v.0.BOUND_VARIABLE_1766))) 16.13/16.57 (define @t131 () (or (not (>= @v.2.A 0)) (not (>= @v.2.A 1)) (not (tptp.permut_all tptp.elt1 @t88 @t130)) (not (>= (+ @v.2.A @t129) 1)) (not (>= @v.0.BOUND_VARIABLE_1768 0)) (not (tptp.sorted_sub2 @v.0.P (tptp.tb2t3 @t130) 0 @v.0.BOUND_VARIABLE_1768)) (not (>= @v.0.BOUND_VARIABLE_1772 0)) (not (forall @t92 (or (>= (+ @v.0.K2 @t129) 1) (not (>= (+ @v.0.K2 @t125) 1)) (>= (+ @v.0.K1 @t125) 0) @t128 (tptp.le @v.0.P (tptp.tb2t4 (tptp.get tptp.elt1 tptp.int @t119 @t91)) (tptp.tb2t4 (tptp.get tptp.elt1 tptp.int @t119 @t90)))))) (not (tptp.sorted_sub2 @v.0.P @t127 @v.0.BOUND_VARIABLE_1772 @t116)) (not (tptp.sorted_sub2 @v.0.P @t127 0 @v.0.BOUND_VARIABLE_1772)) (not (tptp.permut_all tptp.elt1 @t88 @t124)) (not (>= (+ @v.0.BOUND_VARIABLE_1768 @t125) 0)) (not (>= @v.0.BOUND_VARIABLE_1772 1)) (not (>= @t126 1)) (not (>= @t126 0)) (tptp.le @v.0.P (tptp.tb2t4 @t122) (tptp.tb2t4 @t120)) (not (tptp.exchange1 tptp.elt1 @t124 @t123 @t117 @v.0.BOUND_VARIABLE_1772)) (tptp.sorted_sub2 @v.0.P (tptp.tb2t3 @t123) @t117 @t116))) 16.13/16.57 (define @t132 () (@list @v.0.P @v.2.A @v.1.A1 @v.0.BOUND_VARIABLE_1772 @v.0.BOUND_VARIABLE_1770 @v.0.BOUND_VARIABLE_1768 @v.0.BOUND_VARIABLE_1766)) 16.13/16.57 (define @t133 () (exists @t132 (not @t131))) 16.13/16.57 (define @t134 () (@quantifiers_skolemize @t133 @v.0.BOUND_VARIABLE_1770)) 16.13/16.57 (define @t135 () (tptp.t2tb5 @t134)) 16.13/16.57 (define @t136 () (@quantifiers_skolemize @t133 @v.2.A)) 16.13/16.57 (define @t137 () (tptp.mk_array tptp.elt1 @t136 @t135)) 16.13/16.57 (define @t138 () (@quantifiers_skolemize @t133 @v.0.BOUND_VARIABLE_1772)) 16.13/16.57 (define @t139 () (tptp.t2tb @t138)) 16.13/16.57 (define @t140 () (tptp.get tptp.elt1 tptp.int @t135 @t139)) 16.13/16.57 (define @t141 () (+ -1 @t138)) 16.13/16.57 (define @t142 () (tptp.t2tb @t141)) 16.13/16.57 (define @t143 () (tptp.get tptp.elt1 tptp.int @t135 @t142)) 16.13/16.57 (define @t144 () (tptp.t2tb5 (tptp.tb2t5 (tptp.set tptp.elt1 tptp.int @t135 @t139 @t143)))) 16.13/16.57 (define @t145 () (tptp.set tptp.elt1 tptp.int @t144 @t142 @t140)) 16.13/16.57 (define @t146 () (tptp.tb2t5 @t145)) 16.13/16.57 (define @t147 () (tptp.t2tb5 @t146)) 16.13/16.57 (define @t148 () (tptp.mk_array tptp.elt1 @t136 @t147)) 16.13/16.57 (define @t149 () (* -1 @v.0.I1)) 16.13/16.57 (define @t150 () (* -1 @v.0.I2)) 16.13/16.57 (define @t151 () (>= (+ @v.0.I1 @t150) 1)) 16.13/16.57 (define @t152 () (forall @t60 (= @t56 (forall @t59 (or (not (>= (+ @v.0.U @t150) 1)) @t151 (>= (+ @v.0.L @t149) 1) @t58))))) 16.13/16.57 (define @t153 () (@quantifiers_skolemize @t133 @v.0.BOUND_VARIABLE_1768)) 16.13/16.57 (define @t154 () (+ 1 @t153)) 16.13/16.57 (define @t155 () (tptp.tb2t3 @t148)) 16.13/16.57 (define @t156 () (@quantifiers_skolemize @t133 @v.0.P)) 16.13/16.57 (define @t157 () (tptp.t2tb3 @t155)) 16.13/16.57 (define @t158 () (tptp.le @t156 (tptp.tb2t4 (tptp.get1 tptp.elt1 @t157 @v.0.I1)) (tptp.tb2t4 (tptp.get1 tptp.elt1 @t157 @v.0.I2)))) 16.13/16.57 (define @t159 () (not (>= (+ @t154 @t150) 1))) 16.13/16.57 (define @t160 () (tptp.sorted_sub2 @t156 @t155 @t141 @t154)) 16.13/16.57 (define @t161 () (* -1 @t138)) 16.13/16.57 (define @t162 () (+ @v.0.I1 @t161)) 16.13/16.57 (define @t163 () (* -1 @t153)) 16.13/16.57 (define @t164 () (>= (+ @v.0.I2 @t163) 1)) 16.13/16.57 (define @t165 () (or @t164 @t151 (not (>= @t162 -1)) @t158)) 16.13/16.57 (define @t166 () (forall @t59 @t165)) 16.13/16.57 (define @t167 () (= @t160 @t166)) 16.13/16.57 (define @t168 () (forall @t132 @t131)) 16.13/16.57 (define @t169 () (not @t168)) 16.13/16.57 (define @t170 () (tptp.exchange1 tptp.elt1 @t137 @t148 @t141 @t138)) 16.13/16.57 (define @t171 () (not @t170)) 16.13/16.57 (define @t172 () (tptp.tb2t4 @t140)) 16.13/16.57 (define @t173 () (tptp.tb2t4 @t143)) 16.13/16.57 (define @t174 () (tptp.le @t156 @t173 @t172)) 16.13/16.57 (define @t175 () (+ @t136 @t161)) 16.13/16.57 (define @t176 () (not (>= @t175 0))) 16.13/16.57 (define @t177 () (not (>= @t175 1))) 16.13/16.57 (define @t178 () (>= @t138 1)) 16.13/16.57 (define @t179 () (not @t178)) 16.13/16.57 (define @t180 () (tptp.mk_array tptp.elt1 @t136 (tptp.t2tb5 (@quantifiers_skolemize @t133 @v.1.A1)))) 16.13/16.57 (define @t181 () (not (tptp.permut_all tptp.elt1 @t180 @t137))) 16.13/16.57 (define @t182 () (tptp.tb2t3 @t137)) 16.13/16.57 (define @t183 () (not (tptp.sorted_sub2 @t156 @t182 0 @t138))) 16.13/16.57 (define @t184 () (tptp.sorted_sub2 @t156 @t182 @t138 @t154)) 16.13/16.57 (define @t185 () (not @t184)) 16.13/16.57 (define @t186 () (forall @t92 (or (>= (+ @v.0.K2 @t163) 1) (not (>= (+ @v.0.K2 @t161) 1)) (>= (+ @v.0.K1 @t161) 0) @t128 (tptp.le @t156 (tptp.tb2t4 (tptp.get tptp.elt1 tptp.int @t135 @t91)) (tptp.tb2t4 (tptp.get tptp.elt1 tptp.int @t135 @t90)))))) 16.13/16.57 (define @t187 () (not @t186)) 16.13/16.57 (define @t188 () (>= @t138 0)) 16.13/16.57 (define @t189 () (not @t188)) 16.13/16.57 (define @t190 () (tptp.mk_array tptp.elt1 @t136 (tptp.t2tb5 (@quantifiers_skolemize @t133 @v.0.BOUND_VARIABLE_1766)))) 16.13/16.57 (define @t191 () (not (tptp.sorted_sub2 @t156 (tptp.tb2t3 @t190) 0 @t153))) 16.13/16.57 (define @t192 () (not (>= @t153 0))) 16.13/16.57 (define @t193 () (+ @t136 @t163)) 16.13/16.57 (define @t194 () (>= @t193 1)) 16.13/16.57 (define @t195 () (not @t194)) 16.13/16.57 (define @t196 () (not (tptp.permut_all tptp.elt1 @t180 @t190))) 16.13/16.57 (define @t197 () (not (>= @t136 1))) 16.13/16.57 (define @t198 () (not (>= @t136 0))) 16.13/16.57 (define @t199 () (or @t198 @t197 @t196 @t195 @t192 @t191 @t189 @t187 @t185 @t183 @t181 (>= (+ @t138 @t163) 1) @t179 @t177 @t176 @t174 @t171 @t160)) 16.13/16.57 (define @t200 () (not @t199)) 16.13/16.57 (define @t201 () (not (or @t198 @t197 @t196 @t195 @t192 @t191 @t189 @t187 @t185 @t183 @t181 (not (>= (+ @t153 @t161) 0)) @t179 @t177 @t176 @t174 @t171 @t160))) 16.13/16.57 (define @t202 () (not @t166)) 16.13/16.57 (define @t203 () (exists @t59 (not @t165))) 16.13/16.57 (define @t204 () (@quantifiers_skolemize @t203 @v.0.I2)) 16.13/16.57 (define @t205 () (tptp.get1 tptp.elt1 @t157 @t204)) 16.13/16.57 (define @t206 () (tptp.tb2t4 @t205)) 16.13/16.57 (define @t207 () (@quantifiers_skolemize @t203 @v.0.I1)) 16.13/16.57 (define @t208 () (tptp.get1 tptp.elt1 @t157 @t207)) 16.13/16.57 (define @t209 () (tptp.tb2t4 @t208)) 16.13/16.57 (define @t210 () (tptp.le @t156 @t209 @t206)) 16.13/16.57 (define @t211 () (+ @t138 (* -1 @t207))) 16.13/16.57 (define @t212 () (>= @t211 2)) 16.13/16.57 (define @t213 () (* -1 @t204)) 16.13/16.57 (define @t214 () (+ @t207 @t213)) 16.13/16.57 (define @t215 () (>= @t214 1)) 16.13/16.57 (define @t216 () (+ @t153 @t213)) 16.13/16.57 (define @t217 () (>= @t216 0)) 16.13/16.57 (define @t218 () (not @t217)) 16.13/16.57 (define @t219 () (or @t218 @t215 @t212 @t210)) 16.13/16.57 (define @t220 () (not @t219)) 16.13/16.57 (define @t221 () (+ @t207 @t161)) 16.13/16.57 (define @t222 () (>= (+ @t204 @t163) 1)) 16.13/16.57 (define @t223 () (not (or @t222 @t215 (not (>= @t221 -1)) @t210))) 16.13/16.57 (define @t224 () (not @t210)) 16.13/16.57 (define @t225 () (tptp.t2tb @t204)) 16.13/16.57 (define @t226 () (tptp.elts tptp.elt1 @t137)) 16.13/16.57 (define @t227 () (tptp.get tptp.elt1 tptp.int @t226 @t225)) 16.13/16.57 (define @t228 () (tptp.get1 tptp.elt1 @t137 @t204)) 16.13/16.57 (define @t229 () (= @t227 @t228)) 16.13/16.57 (define @t230 () (* -1 @v.0.I)) 16.13/16.57 (define @t231 () (* -1 @v.0.K)) 16.13/16.57 (define @t232 () (* -1 @v.1.J)) 16.13/16.57 (define @t233 () (forall @t32 (= @t20 (and (not (>= (+ @v.0.L @t230) 1)) (not (>= (+ @v.0.L @t232) 1)) (>= (+ @v.0.U @t232) 1) @t29 (forall @t26 (or (not (>= (+ @v.0.U @t231) 1)) (>= (+ @v.0.L @t231) 1) (= @v.0.I @v.0.K) (= @v.1.J @v.0.K) @t25)) @t23 (>= (+ @v.0.U @t230) 1))))) 16.13/16.57 (define @t234 () (tptp.length tptp.elt1 @t137)) 16.13/16.57 (define @t235 () (tptp.elts tptp.elt1 @t148)) 16.13/16.57 (define @t236 () (* -1 @t141)) 16.13/16.57 (define @t237 () (tptp.get tptp.elt1 tptp.int @t235 @t139)) 16.13/16.57 (define @t238 () (= (tptp.get tptp.elt1 tptp.int @t226 @t142) @t237)) 16.13/16.57 (define @t239 () (= (tptp.get tptp.elt1 tptp.int @t226 @t24) (tptp.get tptp.elt1 tptp.int @t235 @t24))) 16.13/16.57 (define @t240 () (tptp.get tptp.elt1 tptp.int @t235 @t142)) 16.13/16.57 (define @t241 () (= (tptp.get tptp.elt1 tptp.int @t226 @t139) @t240)) 16.13/16.57 (define @t242 () (tptp.exchange tptp.elt1 @t226 @t235 0 @t234 @t141 @t138)) 16.13/16.57 (define @t243 () (* -1 @t234)) 16.13/16.57 (define @t244 () (+ @t138 @t243)) 16.13/16.57 (define @t245 () (forall @t26 (or (>= (+ @v.0.K @t243) 0) (not (>= @v.0.K 0)) (= @v.0.K @t141) (= @v.0.K @t138) @t239))) 16.13/16.57 (define @t246 () (and @t178 @t188 (not (>= @t244 0)) @t241 @t245 @t238 (not (>= @t244 1)))) 16.13/16.57 (define @t247 () (= @t242 @t246)) 16.13/16.57 (define @t248 () (and (= @t234 (tptp.length tptp.elt1 @t148)) @t242)) 16.13/16.57 (define @t249 () (= @t170 @t248)) 16.13/16.57 (define @t250 () (not @t246)) 16.13/16.57 (define @t251 () (= @t227 (tptp.get tptp.elt1 tptp.int @t235 @t225))) 16.13/16.57 (define @t252 () (>= @t204 0)) 16.13/16.57 (define @t253 () (not @t252)) 16.13/16.57 (define @t254 () (+ @t204 @t243)) 16.13/16.57 (define @t255 () (>= @t254 0)) 16.13/16.57 (define @t256 () (= @t138 @t204)) 16.13/16.57 (define @t257 () (= @t138 (+ 1 @t204))) 16.13/16.57 (define @t258 () (or @t255 @t253 @t257 @t256 @t251)) 16.13/16.57 (define @t259 () (tptp.le @t156 @t206 @t209)) 16.13/16.57 (define @t260 () (or @t210 @t259)) 16.13/16.57 (define @t261 () (not @t259)) 16.13/16.57 (define @t262 () (= @t207 @t204)) 16.13/16.57 (define @t263 () (not @t262)) 16.13/16.57 (define @t264 () (and @t259 @t262 @t224)) 16.13/16.57 (define @t265 () (not @t212)) 16.13/16.57 (define @t266 () (not @t215)) 16.13/16.57 (define @t267 () (+ @t138 @t213)) 16.13/16.57 (define @t268 () (>= @t267 1)) 16.13/16.57 (define @t269 () (not @t268)) 16.13/16.57 (define @t270 () (<= @t214 -1)) 16.13/16.57 (define @t271 () (* -1 1)) 16.13/16.57 (define @t272 () (+ -1 2 @t271)) 16.13/16.57 (define @t273 () (* -1 @t267)) 16.13/16.57 (define @t274 () (not (= @t214 0))) 16.13/16.57 (define @t275 () (and @t268 @t265 @t266 @t263)) 16.13/16.57 (define @t276 () (not @t257)) 16.13/16.57 (define @t277 () (= @t267 1)) 16.13/16.57 (define @t278 () (< @t267 1)) 16.13/16.57 (define @t279 () (< @t204 0)) 16.13/16.57 (define @t280 () (+ @t204 @t267 @t161)) 16.13/16.57 (define @t281 () (@list tptp.elt1 @t136 @t135)) 16.13/16.57 (define @t282 () (= @t136 @t234)) 16.13/16.57 (define @t283 () (+ @t136 @t243)) 16.13/16.57 (define @t284 () (* -1 0)) 16.13/16.57 (define @t285 () (* -1 @t216)) 16.13/16.57 (define @t286 () (* -1 @t193)) 16.13/16.57 (define @t287 () (not @t255)) 16.13/16.57 (define @t288 () (and @t282 @t217 @t194 @t255)) 16.13/16.57 (define @t289 () (>= @t214 0)) 16.13/16.57 (define @t290 () (not @t289)) 16.13/16.57 (define @t291 () (not @t174)) 16.13/16.57 (define @t292 () (= @t135 @t226)) 16.13/16.57 (define @t293 () (not (tptp.sort @t70 @t135))) 16.13/16.57 (define @t294 () (or @t293 @t292)) 16.13/16.57 (define @t295 () (= @t147 @t235)) 16.13/16.57 (define @t296 () (not (tptp.sort @t70 @t147))) 16.13/16.57 (define @t297 () (or @t296 @t295)) 16.13/16.57 (define @t298 () (@list tptp.int tptp.elt1 @t144 @t142 @t140)) 16.13/16.57 (define @t299 () (= @t145 @t147)) 16.13/16.57 (define @t300 () (not (tptp.sort @t70 @t145))) 16.13/16.57 (define @t301 () (or @t300 @t299)) 16.13/16.57 (define @t302 () (= @t140 (tptp.get tptp.elt1 tptp.int @t145 @t142))) 16.13/16.57 (define @t303 () (not (tptp.sort tptp.elt1 @t140))) 16.13/16.57 (define @t304 () (or @t303 @t302)) 16.13/16.57 (define @t305 () (= @t138 (+ 1 @t207))) 16.13/16.57 (define @t306 () (not @t305)) 16.13/16.57 (define @t307 () (not @t256)) 16.13/16.57 (define @t308 () (not @t238)) 16.13/16.57 (define @t309 () (= (tptp.get1 tptp.elt1 @t148 @t141) @t240)) 16.13/16.57 (define @t310 () (tptp.elts tptp.elt1 @t157)) 16.13/16.57 (define @t311 () (= @t205 (tptp.get tptp.elt1 tptp.int @t310 @t225))) 16.13/16.57 (define @t312 () (not @t311)) 16.13/16.57 (define @t313 () (= @t148 @t157)) 16.13/16.57 (define @t314 () (not @t313)) 16.13/16.57 (define @t315 () (not @t292)) 16.13/16.57 (define @t316 () (= @t141 @t207)) 16.13/16.57 (define @t317 () (and @t259 @t311 @t313 @t295 @t299 @t256 @t238 @t292 @t316 @t309 @t302 @t291)) 16.13/16.57 (define @t318 () (= @t267 0)) 16.13/16.57 (define @t319 () (not (= @t211 1))) 16.13/16.57 (define @t320 () (not @t318)) 16.13/16.57 (define @t321 () (and @t265 @t306 @t290 @t256)) 16.13/16.57 (define @t322 () (tptp.t2tb @t207)) 16.13/16.57 (define @t323 () (tptp.get tptp.elt1 tptp.int @t226 @t322)) 16.13/16.57 (define @t324 () (= @t323 (tptp.get tptp.elt1 tptp.int @t235 @t322))) 16.13/16.57 (define @t325 () (>= @t207 0)) 16.13/16.57 (define @t326 () (not @t325)) 16.13/16.57 (define @t327 () (+ @t207 @t243)) 16.13/16.57 (define @t328 () (>= @t327 0)) 16.13/16.57 (define @t329 () (= @t138 @t207)) 16.13/16.57 (define @t330 () (or @t328 @t326 @t305 @t329 @t324)) 16.13/16.57 (define @t331 () (not @t328)) 16.13/16.57 (define @t332 () (not @t282)) 16.13/16.57 (define @t333 () (and @t282 @t266 @t217 @t194 @t328)) 16.13/16.57 (define @t334 () (<= @t207 -1)) 16.13/16.57 (define @t335 () (>= @t267 0)) 16.13/16.57 (define @t336 () (not @t335)) 16.13/16.57 (define @t337 () (and @t307 @t269)) 16.13/16.57 (define @t338 () (tptp.le @t156 @t173 (tptp.tb2t4 (tptp.get tptp.elt1 tptp.int @t135 @t225)))) 16.13/16.57 (define @t339 () (or @t218 @t335 @t179 @t338)) 16.13/16.57 (define @t340 () (tptp.le @t156 @t173 @t206)) 16.13/16.57 (define @t341 () (not @t340)) 16.13/16.57 (define @t342 () (not @t251)) 16.13/16.57 (define @t343 () (and @t341 @t251 @t311 @t313 @t338 @t292)) 16.13/16.57 (define @t344 () (tptp.le @t156 @t209 @t173)) 16.13/16.57 (define @t345 () (not @t344)) 16.13/16.57 (define @t346 () (or @t345 @t341 @t210)) 16.13/16.57 (define @t347 () (tptp.le @t156 @t172 @t173)) 16.13/16.57 (define @t348 () (or @t174 @t347)) 16.13/16.57 (define @t349 () (and @t345 @t313 @t316 @t309 @t295 @t299 @t302 @t347)) 16.13/16.57 (define @t350 () (tptp.get1 tptp.elt1 @t148 @t138)) 16.13/16.57 (define @t351 () (= @t237 @t350)) 16.13/16.57 (define @t352 () (not @t351)) 16.13/16.57 (define @t353 () (not @t329)) 16.13/16.57 (define @t354 () (and @t251 @t340 @t351 @t238 @t292 @t311 @t224 @t329 @t313)) 16.13/16.57 (define @t355 () (tptp.t2tb3 @t182)) 16.13/16.57 (define @t356 () (tptp.le @t156 (tptp.tb2t4 (tptp.get1 tptp.elt1 @t355 @v.0.I1)) (tptp.tb2t4 (tptp.get1 tptp.elt1 @t355 @v.0.I2)))) 16.13/16.57 (define @t357 () (forall @t59 (or @t164 @t151 (not (>= @t162 0)) @t356))) 16.13/16.57 (define @t358 () (= @t184 @t357)) 16.13/16.57 (define @t359 () (tptp.le @t156 (tptp.tb2t4 (tptp.get1 tptp.elt1 @t355 @t207)) (tptp.tb2t4 (tptp.get1 tptp.elt1 @t355 @t204)))) 16.13/16.57 (define @t360 () (>= @t211 1)) 16.13/16.57 (define @t361 () (or @t218 @t215 @t360 @t359)) 16.13/16.57 (define @t362 () (not @t360)) 16.13/16.57 (define @t363 () (and @t265 @t306)) 16.13/16.57 (define @t364 () (= (tptp.get1 tptp.elt1 @t137 @t207) @t323)) 16.13/16.57 (define @t365 () (= @t208 (tptp.get tptp.elt1 tptp.int @t310 @t322))) 16.13/16.57 (define @t366 () (= @t137 @t355)) 16.13/16.57 (define @t367 () (and @t324 @t366 @t364 @t365 @t229 @t359 @t251 @t311 @t224 @t313)) 16.13/16.57 (assume @p1 (forall (@list @v.0.X @v.0.Y @v.0.Z) (=> (<= @v.0.X @v.0.Y) (=> (<= 0 @v.0.Z) (<= (* @v.0.X @v.0.Z) (* @v.0.Y @v.0.Z)))))) 16.13/16.57 (assume @p2 (forall (@list @v.0.A @v.0.M1 @v.0.M2 @v.0.L @v.0.U) (and (=> (forall @t2 (=> @t4 @t1)) @t3) (=> @t3 (forall @t2 @t1))))) 16.13/16.57 (assume @p3 (forall @t5 (= (tptp.t2tb (tptp.tb2t @v.0.J)) @v.0.J))) 16.13/16.57 (assume @p4 @t8) 16.13/16.57 (assume @p5 (forall (@list @v.0.A @v.1.X @v.0.X1 @v.0.X2) (tptp.sort @v.0.A (tptp.match_bool @v.0.A @v.1.X @v.0.X1 @v.0.X2)))) 16.13/16.57 (assume @p6 (forall (@list @v.0.A @v.0.M @v.0.L @v.0.U @v.0.I) (=> @t12 (< 0 (tptp.occ @v.0.A @t9 @v.0.M @v.0.L @v.0.U))))) 16.13/16.57 (assume @p7 @t16) 16.13/16.57 (assume @p8 (forall @t18 (=> (<= @v.0.L @v.0.U) (and (<= 0 @t17) (<= @t17 (- @v.0.U @v.0.L)))))) 16.13/16.57 (assume @p9 (forall @t18 (=> (<= @v.0.U @v.0.L) @t19))) 16.13/16.57 (assume @p10 @t33) 16.13/16.57 (assume @p11 (forall (@list @v.0.A @v.0.A1 @v.0.I @v.0.V) (= (tptp.set1 @v.0.A @v.0.A1 @v.0.I @v.0.V) (tptp.mk_array @v.0.A @t34 (tptp.set @v.0.A tptp.int @t7 @t6 @v.0.V))))) 16.13/16.57 (assume @p12 (forall @t18 (=> @t4 (=> @t38 (=> (not @t37) (= @t17 @t36)))))) 16.13/16.57 (assume @p13 (forall (@list @v.0.A @v.0.B @v.0.B1 @v.0.A1) (=> @t39 (= (tptp.get @v.0.B @v.0.A (tptp.const @v.0.B @v.0.A @v.0.B1) @v.0.A1) @v.0.B1)))) 16.13/16.57 (assume @p14 (forall @t43 (= @t42 (and (tptp.map_eq_sub @v.0.A @t7 @t41 0 @v.0.L) (tptp.map_eq_sub @v.0.A @t7 @t41 @v.0.U @t34) @t40)))) 16.13/16.57 (assume @p15 @t48) 16.13/16.57 (assume @p16 (forall @t49 (tptp.sort @v.0.A (tptp.contents @v.0.A @v.3.X)))) 16.13/16.57 (assume @p17 (forall @t5 (=> (tptp.sort tptp.elt1 @v.0.J) (= (tptp.t2tb4 (tptp.tb2t4 @v.0.J)) @v.0.J)))) 16.13/16.57 (assume @p18 (forall @t49 (tptp.sort @t50 (tptp.elts @v.0.A @v.3.X)))) 16.13/16.57 (assume @p19 (forall (@list @v.0.A @v.0.A1 @v.0.A2 @v.0.A3 @v.0.L @v.0.U) (=> @t51 (=> (tptp.permut @v.0.A @v.0.A2 @v.0.A3 @v.0.L @v.0.U) (tptp.permut @v.0.A @v.0.A1 @v.0.A3 @v.0.L @v.0.U))))) 16.13/16.57 (assume @p20 (forall @t54 (=> @t53 @t52))) 16.13/16.57 (assume @p21 (forall (@list @v.0.A @v.0.A1 @v.0.A2 @v.0.L1 @v.1.U1 @v.0.L2 @v.0.U2) (=> (tptp.permut_sub @v.0.A @v.0.A1 @v.0.A2 @v.0.L1 @v.1.U1) (=> (and (<= 0 @v.0.L2) (<= @v.0.L2 @v.0.L1)) (=> (and (<= @v.0.U2 @t34) (<= @v.1.U1 @v.0.U2)) (tptp.permut_sub @v.0.A @v.0.A1 @v.0.A2 @v.0.L2 @v.0.U2)))))) 16.13/16.57 (assume @p22 (forall (@list @v.0.X) (tptp.sort tptp.int (tptp.t2tb @v.0.X)))) 16.13/16.57 (assume @p23 (forall (@list @v.0.A @v.3.X @v.1.X1) (tptp.sort @v.0.A (tptp.get1 @v.0.A @v.3.X @v.1.X1)))) 16.13/16.57 (assume @p24 (forall @t54 (= @t53 (and @t55 (tptp.exchange @v.0.A @t7 @t41 0 @t34 @v.0.I @v.1.J))))) 16.13/16.57 (assume @p25 @t61) 16.13/16.57 (assume @p26 (forall (@list @v.0.A @v.0.B @v.0.M @v.0.A1 @v.0.A2) (=> (tptp.sort @v.0.A @v.0.A1) (=> (tptp.sort @v.0.A @v.0.A2) (forall (@list @v.0.B1) (=> (not @t63) (= @t62 (tptp.get @v.0.B @v.0.A @v.0.M @v.0.A2)))))))) 16.13/16.57 (assume @p27 (forall @t64 (= @t52 (and (tptp.permut @v.0.A @t7 @t41 0 @t34) @t55)))) 16.13/16.57 (assume @p28 (forall (@list @v.0.A @v.0.V @v.0.M @v.0.L @v.0.Mid @v.0.U) (=> (and (<= @v.0.L @v.0.Mid) (<= @v.0.Mid @v.0.U)) (= @t17 (+ (tptp.occ @v.0.A @v.0.V @v.0.M @v.0.L @v.0.Mid) (tptp.occ @v.0.A @v.0.V @v.0.M @v.0.Mid @v.0.U)))))) 16.13/16.57 (assume @p29 @t68) 16.13/16.57 (assume @p30 (forall (@list @v.0.A @v.0.A1 @v.0.A2 @v.0.L @v.0.U @v.0.I) (=> @t51 (=> @t69 (exists (@list @v.1.J) (and @t31 @t30 @t29)))))) 16.13/16.57 (assume @p31 (forall (@list @v.1.I) (= (tptp.tb2t5 (tptp.t2tb5 @v.1.I)) @v.1.I))) 16.13/16.57 (assume @p32 (forall (@list @v.1.U) (or (= @v.1.U tptp.false) (= @v.1.U tptp.true)))) 16.13/16.57 (assume @p33 (forall (@list @v.4.X) (tptp.sort @t70 (tptp.t2tb5 @v.4.X)))) 16.13/16.57 (assume @p34 (forall (@list @v.0.A @v.3.X @v.1.X1 @v.0.X2) (tptp.sort @t71 (tptp.set1 @v.0.A @v.3.X @v.1.X1 @v.0.X2)))) 16.13/16.57 (assume @p35 (forall (@list @v.0.P @v.1.A) (= (tptp.sorted1 @v.0.P @v.1.A) (tptp.sorted_sub2 @v.0.P @v.1.A 0 (tptp.length tptp.elt1 @t57))))) 16.13/16.57 (assume @p36 (not (= tptp.true tptp.false))) 16.13/16.57 (assume @p37 (forall (@list @v.0.A) (tptp.sort @v.0.A (tptp.witness @v.0.A)))) 16.13/16.57 (assume @p38 (forall (@list @v.0.A @v.0.B @v.3.X) (tptp.sort @t72 (tptp.const @v.0.B @v.0.A @v.3.X)))) 16.13/16.57 (assume @p39 (forall (@list @v.0.P @v.2.X) (tptp.le @v.0.P @v.2.X @v.2.X))) 16.13/16.57 (assume @p40 (forall (@list @v.0.A @v.0.N @v.0.V) (= (tptp.make @v.0.A @v.0.N @v.0.V) (tptp.mk_array @v.0.A @v.0.N (tptp.const @v.0.A tptp.int @v.0.V))))) 16.13/16.57 (assume @p41 @t95) 16.13/16.57 (assume @p42 (forall @t18 (=> @t38 (=> @t37 (= @t17 (+ 1 @t36)))))) 16.13/16.57 (assume @p43 (forall (@list @v.5.X) (tptp.sort (tptp.array tptp.elt1) (tptp.t2tb3 @v.5.X)))) 16.13/16.57 (assume @p44 (forall @t96 (= @v.2.U (tptp.mk_array @v.0.A (tptp.length @v.0.A @v.2.U) (tptp.elts @v.0.A @v.2.U))))) 16.13/16.57 (assume @p45 (forall @t96 (=> (tptp.sort @v.0.A @v.2.U) (= (tptp.contents @v.0.A (tptp.mk_ref @v.0.A @v.2.U)) @v.2.U)))) 16.13/16.57 (assume @p46 (forall @t49 (tptp.sort @t97 (tptp.mk_ref @v.0.A @v.3.X)))) 16.13/16.57 (assume @p47 (forall @t98 (=> (tptp.sort @v.0.A @v.0.Z1) (= (tptp.match_bool @v.0.A tptp.false @v.2.Z @v.0.Z1) @v.0.Z1)))) 16.13/16.57 (assume @p48 (forall (@list @v.0.A @v.0.B @v.3.X @v.0.X1 @v.0.X2) (tptp.sort @t72 (tptp.set @v.0.B @v.0.A @v.3.X @v.0.X1 @v.0.X2)))) 16.13/16.57 (assume @p49 @t99) 16.13/16.57 (assume @p50 (forall (@list @v.2.X) (tptp.sort tptp.elt1 (tptp.t2tb4 @v.2.X)))) 16.13/16.57 (assume @p51 (forall @t43 (= (forall @t100 (=> @t12 (= @t22 @t27))) (tptp.map_eq_sub @v.0.A @v.0.A1 @v.0.A2 @v.0.L @v.0.U)))) 16.13/16.57 (assume @p52 (forall @t98 (=> (tptp.sort @v.0.A @v.2.Z) (= (tptp.match_bool @v.0.A tptp.true @v.2.Z @v.0.Z1) @v.2.Z)))) 16.13/16.57 (assume @p53 (forall (@list @v.0.A @v.0.A1 @v.0.L @v.0.U @v.0.I @v.1.J) (=> @t12 (=> @t101 (tptp.exchange @v.0.A @v.0.A1 (tptp.set @v.0.A tptp.int (tptp.set @v.0.A tptp.int @v.0.A1 @t6 @t28) @t21 @t22) @v.0.L @v.0.U @v.0.I @v.1.J))))) 16.13/16.57 (assume @p54 (forall (@list @v.0.A @v.0.A1 @v.0.A2 @v.0.I @v.1.J @v.0.L @v.0.U) (=> @t53 (=> @t12 (=> @t101 (=> @t103 (=> @t102 @t42))))))) 16.13/16.57 (assume @p55 (forall (@list @v.2.I) (= (tptp.tb2t4 (tptp.t2tb4 @v.2.I)) @v.2.I))) 16.13/16.57 (assume @p56 @t106) 16.13/16.57 (assume @p57 (forall (@list @v.0.A @v.0.V @v.0.M1 @v.0.M2 @v.0.L @v.0.U) (=> (forall @t100 (=> @t69 (= (tptp.get @v.0.A tptp.int @v.0.M1 @t6) (tptp.get @v.0.A tptp.int @v.0.M2 @t6)))) @t1))) 16.13/16.57 (assume @p58 (forall @t107 (tptp.sort @t71 (tptp.mk_array @v.0.A @v.0.X @v.0.X1)))) 16.13/16.57 (assume @p59 (forall @t18 (=> @t4 (=> (< 0 @t17) (exists @t100 (and @t11 @t108 @t10)))))) 16.13/16.57 (assume @p60 (forall @t96 (=> (tptp.sort @t97 @v.2.U) (= @v.2.U (tptp.mk_ref @v.0.A (tptp.contents @v.0.A @v.2.U)))))) 16.13/16.57 (assume @p61 (forall (@list @v.0.A @v.0.B @v.3.X @v.0.X1) (tptp.sort @v.0.B (tptp.get @v.0.B @v.0.A @v.3.X @v.0.X1)))) 16.13/16.57 (assume @p62 @t111) 16.13/16.57 (assume @p63 (forall @t43 (= (and @t55 @t103 (tptp.map_eq_sub @v.0.A @t7 @t41 @v.0.L @v.0.U) @t102 @t113 @t112) (tptp.array_eq_sub @v.0.A @v.0.A1 @v.0.A2 @v.0.L @v.0.U)))) 16.13/16.57 (assume @p64 (forall @t43 (= (and @t112 @t113 @t102 (tptp.permut @v.0.A @t7 @t41 @v.0.L @v.0.U) @t103 @t55) @t40))) 16.13/16.57 (assume @p65 (forall @t100 (= (tptp.tb2t @t6) @v.0.I))) 16.13/16.57 (assume @p66 @t115) 16.13/16.57 (assume @p67 (forall @t64 (= (tptp.array_eq @v.0.A @v.0.A1 @v.0.A2) (and @t55 (tptp.map_eq_sub @v.0.A @t7 @t41 0 @t34))))) 16.13/16.57 (assume @p68 (forall @t107 (tptp.sort @t71 (tptp.make @v.0.A @v.0.X @v.0.X1)))) 16.13/16.57 (assume @p69 (forall (@list @v.3.I) (= (tptp.tb2t3 (tptp.t2tb3 @v.3.I)) @v.3.I))) 16.13/16.57 (assume @p70 (forall @t18 (=> @t4 (=> (forall @t100 (=> @t69 (not @t108))) @t19)))) 16.13/16.57 (assume @p71 (forall (@list @v.3.U) (= @v.3.U tptp.tuple02))) 16.13/16.57 (assume @p72 true) 16.13/16.57 ; WARNING: add trust step for MACRO_SR_EQ_INTRO 16.13/16.57 ; trust MACRO_SR_EQ_INTRO 16.13/16.57 (step @p73 :rule trust :premises () :args ((= @t115 (forall @t5 (= @v.0.J @t114))))) 16.13/16.57 (step @p74 :rule eq_resolve :premises (@p66 @p73)) 16.13/16.57 (step @p75 :rule instantiate :premises (@p74) :args ((@list @t137))) 16.13/16.57 (step @p76 :rule instantiate :premises (@p74) :args ((@list @t148))) 16.13/16.57 ; trust MACRO_SR_EQ_INTRO 16.13/16.57 (step @p77 :rule trust :premises () :args ((= @t61 @t152))) 16.13/16.57 (step @p78 :rule eq_resolve :premises (@p25 @p77)) 16.13/16.57 (assume-push @p79 @t152) 16.13/16.57 (step @p80 :rule instantiate :premises (@p78) :args ((@list @t156 @t155 @t141 @t154))) 16.13/16.57 (step-pop @p980 :rule scope :premises (@p80)) 16.13/16.57 (step @p81 :rule process_scope :premises (@p980) :args ((= @t160 (forall @t59 (or @t159 @t151 (>= (+ @t141 @t149) 1) @t158))))) 16.13/16.57 ; WARNING: add trust step for MACRO_SR_PRED_ELIM 16.13/16.57 ; trust MACRO_SR_PRED_ELIM 16.13/16.57 (step @p83 :rule trust :premises (@p81) :args ((=> @t152 @t167))) 16.13/16.57 (step @p84 :rule implies_elim :premises (@p83)) 16.13/16.57 ; WARNING: add trust step for MACRO_RESOLUTION_TRUST 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p85 :rule trust :premises (@p84 @p78) :args (@t167)) 16.13/16.57 ; trust MACRO_SR_EQ_INTRO 16.13/16.57 (step @p86 :rule trust :premises () :args ((= @t95 @t169))) 16.13/16.57 (step @p87 :rule eq_resolve :premises (@p41 @p86)) 16.13/16.57 (step @p88 :rule refl :args (@t200)) 16.13/16.57 ; WARNING: add trust step for MACRO_SR_PRED_INTRO 16.13/16.57 ; trust MACRO_SR_PRED_INTRO 16.13/16.57 (step @p89 :rule trust :premises () :args ((= (not @t169) @t168))) 16.13/16.57 (step @p90 :rule nary_cong :premises (@p89 @p88) :args (or)) 16.13/16.57 ; WARNING: add trust step for MACRO_REWRITE 16.13/16.57 ; trust MACRO_REWRITE 16.13/16.57 (step @p91 :rule trust :premises () :args ((= (=> @t169 @t201) (=> @t169 @t200)))) 16.13/16.57 (assume-push @p92 @t169) 16.13/16.57 (step @p93 :rule skolemize :premises (@p87)) 16.13/16.57 (step-pop @p981 :rule scope :premises (@p93)) 16.13/16.57 (step @p94 :rule process_scope :premises (@p981) :args (@t201)) 16.13/16.57 (step @p96 :rule eq_resolve :premises (@p94 @p91)) 16.13/16.57 (step @p97 :rule implies_elim :premises (@p96)) 16.13/16.57 (step @p98 :rule eq_resolve :premises (@p97 @p90)) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p99 :rule trust :premises (@p98 @p87) :args (@t200)) 16.13/16.57 (step @p100 :rule cnf_or_neg :args (@t199 17)) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p101 :rule trust :premises (@p100 @p99) :args ((not @t160))) 16.13/16.57 (step @p102 :rule cnf_equiv_pos2 :args (@t167)) 16.13/16.57 (step @p103 :rule reordering :premises (@p102) :args ((or @t160 @t202 (not @t167)))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p104 :rule trust :premises (@p103 @p101 @p85) :args (@t202)) 16.13/16.57 (step @p105 :rule refl :args (@t220)) 16.13/16.57 ; trust MACRO_SR_PRED_INTRO 16.13/16.57 (step @p106 :rule trust :premises () :args ((= (not @t202) @t166))) 16.13/16.57 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (or)) 16.13/16.57 ; trust MACRO_REWRITE 16.13/16.57 (step @p108 :rule trust :premises () :args ((= (=> @t202 @t223) (=> @t202 @t220)))) 16.13/16.57 (assume-push @p109 @t202) 16.13/16.57 (step @p110 :rule skolemize :premises (@p104)) 16.13/16.57 (step-pop @p982 :rule scope :premises (@p110)) 16.13/16.57 (step @p111 :rule process_scope :premises (@p982) :args (@t223)) 16.13/16.57 (step @p113 :rule eq_resolve :premises (@p111 @p108)) 16.13/16.57 (step @p114 :rule implies_elim :premises (@p113)) 16.13/16.57 (step @p115 :rule eq_resolve :premises (@p114 @p107)) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p116 :rule trust :premises (@p115 @p104) :args (@t220)) 16.13/16.57 (step @p117 :rule cnf_or_neg :args (@t219 3)) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p118 :rule trust :premises (@p117 @p116) :args (@t224)) 16.13/16.57 (step @p119 :rule instantiate :premises (@p4) :args ((@list tptp.elt1 @t157 @t204))) 16.13/16.57 (assume-push @p120 @t8) 16.13/16.57 (step @p121 :rule instantiate :premises (@p4) :args ((@list tptp.elt1 @t137 @t204))) 16.13/16.57 (step-pop @p983 :rule scope :premises (@p121)) 16.13/16.57 (step @p122 :rule process_scope :premises (@p983) :args ((= @t228 @t227))) 16.13/16.57 ; trust MACRO_SR_PRED_ELIM 16.13/16.57 (step @p124 :rule trust :premises (@p122) :args ((=> @t8 @t229))) 16.13/16.57 (step @p125 :rule implies_elim :premises (@p124)) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p126 :rule trust :premises (@p125 @p4) :args (@t229)) 16.13/16.57 ; trust MACRO_SR_EQ_INTRO 16.13/16.57 (step @p127 :rule trust :premises () :args ((= @t33 @t233))) 16.13/16.57 (step @p128 :rule eq_resolve :premises (@p10 @p127)) 16.13/16.57 (assume-push @p129 @t233) 16.13/16.57 (step @p130 :rule instantiate :premises (@p128) :args ((@list tptp.elt1 @t226 @t235 0 @t234 @t141 @t138))) 16.13/16.57 (step-pop @p984 :rule scope :premises (@p130)) 16.13/16.57 (step @p131 :rule process_scope :premises (@p984) :args ((= @t242 (and (not (>= (+ 0 @t236) 1)) (not (>= (+ 0 @t161) 1)) (>= (+ @t234 @t161) 1) @t241 (forall @t26 (or (not (>= (+ @t234 @t231) 1)) (>= (+ 0 @t231) 1) (= @t141 @v.0.K) (= @t138 @v.0.K) @t239)) @t238 (>= (+ @t234 @t236) 1))))) 16.13/16.57 ; trust MACRO_SR_PRED_ELIM 16.13/16.57 (step @p133 :rule trust :premises (@p131) :args ((=> @t233 @t247))) 16.13/16.57 (step @p134 :rule implies_elim :premises (@p133)) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p135 :rule trust :premises (@p134 @p128) :args (@t247)) 16.13/16.57 (step @p136 :rule instantiate :premises (@p24) :args ((@list tptp.elt1 @t137 @t148 @t141 @t138))) 16.13/16.57 ; trust MACRO_SR_PRED_INTRO 16.13/16.57 (step @p137 :rule trust :premises () :args ((= (not @t171) @t170))) 16.13/16.57 (step @p138 :rule refl :args (@t199)) 16.13/16.57 (step @p139 :rule nary_cong :premises (@p138 @p137) :args (or)) 16.13/16.57 (step @p140 :rule cnf_or_neg :args (@t199 16)) 16.13/16.57 (step @p141 :rule eq_resolve :premises (@p140 @p139)) 16.13/16.57 (step @p142 :rule reordering :premises (@p141) :args ((or @t170 @t199))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p143 :rule trust :premises (@p142 @p99) :args (@t170)) 16.13/16.57 (step @p144 :rule cnf_equiv_pos1 :args (@t249)) 16.13/16.57 (step @p145 :rule reordering :premises (@p144) :args ((or @t171 @t248 (not @t249)))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p146 :rule trust :premises (@p145 @p143 @p136) :args (@t248)) 16.13/16.57 (step @p147 :rule cnf_and_pos :args (@t248 1)) 16.13/16.57 (step @p148 :rule reordering :premises (@p147) :args ((or @t242 (not @t248)))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p149 :rule trust :premises (@p148 @p146) :args (@t242)) 16.13/16.57 (step @p150 :rule cnf_equiv_pos1 :args (@t247)) 16.13/16.57 (step @p151 :rule reordering :premises (@p150) :args ((or (not @t242) @t246 (not @t247)))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p152 :rule trust :premises (@p151 @p149 @p135) :args (@t246)) 16.13/16.57 (step @p153 :rule cnf_and_pos :args (@t246 4)) 16.13/16.57 (step @p154 :rule reordering :premises (@p153) :args ((or @t245 @t250))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p155 :rule trust :premises (@p154 @p152) :args (@t245)) 16.13/16.57 (assume-push @p156 @t245) 16.13/16.57 (step @p157 :rule instantiate :premises (@p155) :args ((@list @t204))) 16.13/16.57 (step-pop @p985 :rule scope :premises (@p157)) 16.13/16.57 (step @p158 :rule process_scope :premises (@p985) :args ((or @t255 @t253 (= @t204 @t141) (= @t204 @t138) @t251))) 16.13/16.57 ; trust MACRO_SR_PRED_ELIM 16.13/16.57 (step @p160 :rule trust :premises (@p158) :args ((=> @t245 @t258))) 16.13/16.57 (step @p161 :rule implies_elim :premises (@p160)) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p162 :rule trust :premises (@p161 @p155) :args (@t258)) 16.13/16.57 ; trust MACRO_SR_EQ_INTRO 16.13/16.57 (step @p163 :rule trust :premises () :args ((= @t48 (forall @t47 (or @t45 @t44))))) 16.13/16.57 (step @p164 :rule eq_resolve :premises (@p15 @p163)) 16.13/16.57 (step @p165 :rule instantiate :premises (@p164) :args ((@list @t156 @t209 @t206))) 16.13/16.57 (step @p166 :rule cnf_or_pos :args (@t260)) 16.13/16.57 (step @p167 :rule reordering :premises (@p166) :args ((or @t210 @t259 (not @t260)))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p168 :rule trust :premises (@p167 @p118 @p165) :args (@t259)) 16.13/16.57 (step @p169 :rule refl :args (@t261)) 16.13/16.57 ; trust MACRO_SR_PRED_INTRO 16.13/16.57 (step @p170 :rule trust :premises () :args ((= (not @t224) @t210))) 16.13/16.57 (step @p171 :rule refl :args (@t263)) 16.13/16.57 (step @p172 :rule nary_cong :premises (@p171 @p170 @p169) :args (or)) 16.13/16.57 (assume-push @p173 @t259) 16.13/16.57 (assume-push @p174 @t262) 16.13/16.57 (assume-push @p175 @t224) 16.13/16.57 (step @p176 :rule true_intro :premises (@p168)) 16.13/16.57 (step @p177 :rule symm :premises (@p174)) 16.13/16.57 (step @p178 :rule refl :args (@t157)) 16.13/16.57 (step @p179 :rule refl :args (tptp.elt1)) 16.13/16.57 (step @p180 :rule cong :premises (@p179 @p178 @p177) :args (tptp.get1)) 16.13/16.57 (step @p181 :rule cong :premises (@p180) :args (tptp.tb2t4)) 16.13/16.57 (step @p182 :rule symm :premises (@p181)) 16.13/16.57 (step @p183 :rule refl :args (@t156)) 16.13/16.57 (step @p184 :rule cong :premises (@p183 @p182 @p181) :args (tptp.le)) 16.13/16.57 (step @p185 :rule false_intro :premises (@p118)) 16.13/16.57 (step @p186 :rule symm :premises (@p185)) 16.13/16.57 (step @p187 :rule trans :premises (@p186 @p184 @p176)) 16.13/16.57 ; trust MACRO_SR_PRED_ELIM 16.13/16.57 (step @p188 false :rule trust :premises (@p187) :args (false)) 16.13/16.57 (step-pop @p986 :rule scope :premises (@p188)) 16.13/16.57 (step-pop @p987 :rule scope :premises (@p986)) 16.13/16.57 (step-pop @p988 :rule scope :premises (@p987)) 16.13/16.57 (step @p189 :rule process_scope :premises (@p988) :args (false)) 16.13/16.57 (assume-push @p193 @t262) 16.13/16.57 (assume-push @p194 @t224) 16.13/16.57 (assume-push @p195 @t259) 16.13/16.57 (step @p196 :rule and_intro :premises (@p168 @p174 @p118)) 16.13/16.57 (step-pop @p989 :rule scope :premises (@p196)) 16.13/16.57 (step-pop @p990 :rule scope :premises (@p989)) 16.13/16.57 (step-pop @p991 :rule scope :premises (@p990)) 16.13/16.57 (step @p197 :rule process_scope :premises (@p991) :args (@t264)) 16.13/16.57 (step @p201 :rule implies_elim :premises (@p197)) 16.13/16.57 (step @p202 :rule resolution :premises (@p201 @p189) :args (true @t264)) 16.13/16.57 (step @p203 :rule not_and :premises (@p202)) 16.13/16.57 (step @p204 :rule eq_resolve :premises (@p203 @p172)) 16.13/16.57 (step @p205 :rule reordering :premises (@p204) :args ((or @t210 @t263 @t261))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p206 :rule trust :premises (@p205 @p118 @p168) :args (@t263)) 16.13/16.57 (step @p207 :rule cnf_or_neg :args (@t219 2)) 16.13/16.57 (step @p208 :rule reordering :premises (@p207) :args ((or @t265 @t219))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p209 :rule trust :premises (@p208 @p116) :args (@t265)) 16.13/16.57 (step @p210 :rule cnf_or_neg :args (@t219 1)) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p211 :rule trust :premises (@p210 @p116) :args (@t266)) 16.13/16.57 (step @p212 :rule refl :args (@t269)) 16.13/16.57 ; trust MACRO_SR_PRED_INTRO 16.13/16.57 (step @p213 :rule trust :premises () :args ((= (not @t263) @t262))) 16.13/16.57 ; trust MACRO_SR_PRED_INTRO 16.13/16.57 (step @p214 :rule trust :premises () :args ((= (not @t266) @t215))) 16.13/16.57 ; trust MACRO_SR_PRED_INTRO 16.13/16.57 (step @p215 :rule trust :premises () :args ((= (not @t265) @t212))) 16.13/16.57 (step @p216 :rule nary_cong :premises (@p215 @p214 @p213 @p212) :args (or)) 16.13/16.57 (assume-push @p217 @t268) 16.13/16.57 (assume-push @p218 @t265) 16.13/16.57 (assume-push @p219 @t266) 16.13/16.57 (assume-push @p220 @t263) 16.13/16.57 (assume-push @p221 @t270) 16.13/16.57 ; WARNING: add trust step for MACRO_SR_PRED_TRANSFORM 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p222 :rule trust :premises (@p209) :args ((< @t211 2))) 16.13/16.57 ; WARNING: add trust step for MACRO_ARITH_SCALE_SUM_UB 16.13/16.57 ; trust MACRO_ARITH_SCALE_SUM_UB 16.13/16.57 (step @p223 :rule trust :premises (@p221 @p222 @p217) :args ((< (+ @t214 @t211 @t273) @t272))) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p224 false :rule trust :premises (@p223) :args (false)) 16.13/16.57 (step-pop @p992 :rule scope :premises (@p224)) 16.13/16.57 (step @p225 :rule process_scope :premises (@p992) :args (false)) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p227 :rule trust :premises (@p225) :args ((> @t214 -1))) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p228 :rule trust :premises (@p227) :args ((not @t270))) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p229 :rule trust :premises (@p220) :args (@t274)) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p230 :rule trust :premises (@p211) :args ((< @t214 1))) 16.13/16.57 (step @p231 :rule int_tight_ub :premises (@p230)) 16.13/16.57 (step @p232 :rule arith_trichotomy :premises (@p231 @p229)) 16.13/16.57 (step @p233 :rule int_tight_ub :premises (@p232)) 16.13/16.57 (step @p234 false :rule contra :premises (@p233 @p228)) 16.13/16.57 (step-pop @p993 :rule scope :premises (@p234)) 16.13/16.57 (step-pop @p994 :rule scope :premises (@p993)) 16.13/16.57 (step-pop @p995 :rule scope :premises (@p994)) 16.13/16.57 (step-pop @p996 :rule scope :premises (@p995)) 16.13/16.57 (step @p235 :rule process_scope :premises (@p996) :args (false)) 16.13/16.57 (assume-push @p240 @t265) 16.13/16.57 (assume-push @p241 @t266) 16.13/16.57 (assume-push @p242 @t263) 16.13/16.57 (assume-push @p243 @t268) 16.13/16.57 (step @p244 :rule and_intro :premises (@p217 @p209 @p211 @p220)) 16.13/16.57 (step-pop @p997 :rule scope :premises (@p244)) 16.13/16.57 (step-pop @p998 :rule scope :premises (@p997)) 16.13/16.57 (step-pop @p999 :rule scope :premises (@p998)) 16.13/16.57 (step-pop @p1000 :rule scope :premises (@p999)) 16.13/16.57 (step @p245 :rule process_scope :premises (@p1000) :args (@t275)) 16.13/16.57 (step @p250 :rule implies_elim :premises (@p245)) 16.13/16.57 (step @p251 :rule resolution :premises (@p250 @p235) :args (true @t275)) 16.13/16.57 (step @p252 :rule not_and :premises (@p251)) 16.13/16.57 (step @p253 :rule eq_resolve :premises (@p252 @p216)) 16.13/16.57 (step @p254 :rule reordering :premises (@p253) :args ((or @t215 @t212 @t262 @t269))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p255 :rule trust :premises (@p254 @p211 @p209 @p206) :args (@t269)) 16.13/16.57 (step @p256 :rule refl :args (@t276)) 16.13/16.57 ; trust MACRO_SR_PRED_INTRO 16.13/16.57 (step @p257 :rule trust :premises () :args ((= (not @t269) @t268))) 16.13/16.57 (step @p258 :rule nary_cong :premises (@p257 @p256) :args (or)) 16.13/16.57 (assume-push @p259 @t269) 16.13/16.57 (assume-push @p260 @t269) 16.13/16.57 (assume-push @p261 @t277) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p262 :rule trust :premises (@p259) :args (@t278)) 16.13/16.57 (step @p263 :rule int_tight_ub :premises (@p262)) 16.13/16.57 ; trust MACRO_ARITH_SCALE_SUM_UB 16.13/16.57 (step @p264 :rule trust :premises (@p261 @p263) :args ((<= (+ @t273 @t267) (+ @t271 0)))) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p265 false :rule trust :premises (@p264) :args (false)) 16.13/16.57 (step-pop @p1001 :rule scope :premises (@p265)) 16.13/16.57 (step @p266 :rule process_scope :premises (@p1001) :args (false)) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p268 :rule trust :premises (@p266) :args ((not @t277))) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p269 :rule trust :premises (@p268) :args (@t276)) 16.13/16.57 (step-pop @p1002 :rule scope :premises (@p269)) 16.13/16.57 (step @p270 :rule process_scope :premises (@p1002) :args (@t276)) 16.13/16.57 (step @p272 :rule modus_ponens :premises (@p259 @p270)) 16.13/16.57 (step-pop @p1003 :rule scope :premises (@p272)) 16.13/16.57 (step @p273 :rule process_scope :premises (@p1003) :args (@t276)) 16.13/16.57 (step @p275 :rule implies_elim :premises (@p273)) 16.13/16.57 (step @p276 :rule eq_resolve :premises (@p275 @p258)) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p277 :rule trust :premises (@p276 @p255) :args (@t276)) 16.13/16.57 ; trust MACRO_SR_PRED_INTRO 16.13/16.57 (step @p278 :rule trust :premises () :args ((= (not @t179) @t178))) 16.13/16.57 (step @p279 :rule nary_cong :premises (@p138 @p278) :args (or)) 16.13/16.57 (step @p280 :rule cnf_or_neg :args (@t199 12)) 16.13/16.57 (step @p281 :rule eq_resolve :premises (@p280 @p279)) 16.13/16.57 (step @p282 :rule reordering :premises (@p281) :args ((or @t178 @t199))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p283 :rule trust :premises (@p282 @p99) :args (@t178)) 16.13/16.57 (assume-push @p284 @t269) 16.13/16.57 (assume-push @p285 @t178) 16.13/16.57 (assume-push @p286 @t253) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p287 :rule trust :premises (@p259) :args (@t278)) 16.13/16.57 (step @p288 :rule int_tight_ub :premises (@p287)) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p289 :rule trust :premises (@p286) :args (@t279)) 16.13/16.57 ; trust MACRO_ARITH_SCALE_SUM_UB 16.13/16.57 (step @p290 :rule trust :premises (@p289 @p288 @p283) :args ((< @t280 (+ 0 0 @t271)))) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p291 false :rule trust :premises (@p290) :args (false)) 16.13/16.57 (step-pop @p1004 :rule scope :premises (@p291)) 16.13/16.57 (step-pop @p1005 :rule scope :premises (@p1004)) 16.13/16.57 (step-pop @p1006 :rule scope :premises (@p1005)) 16.13/16.57 (step @p292 :rule process_scope :premises (@p1006) :args (false)) 16.13/16.57 (step @p296 :rule not_and :premises (@p292)) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p297 :rule trust :premises (@p296) :args ((or @t268 @t179 @t252))) 16.13/16.57 (step @p298 :rule reordering :premises (@p297) :args ((or @t179 @t268 @t252))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p299 :rule trust :premises (@p298 @p283 @p255) :args (@t252)) 16.13/16.57 ; trust MACRO_SR_PRED_INTRO 16.13/16.57 (step @p300 :rule trust :premises () :args ((= (not @t218) @t217))) 16.13/16.57 (step @p301 :rule refl :args (@t219)) 16.13/16.57 (step @p302 :rule nary_cong :premises (@p301 @p300) :args (or)) 16.13/16.57 (step @p303 :rule cnf_or_neg :args (@t219 0)) 16.13/16.57 (step @p304 :rule eq_resolve :premises (@p303 @p302)) 16.13/16.57 (step @p305 :rule reordering :premises (@p304) :args ((or @t217 @t219))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p306 :rule trust :premises (@p305 @p116) :args (@t217)) 16.13/16.57 ; trust MACRO_SR_EQ_INTRO 16.13/16.57 (step @p307 :rule trust :premises () :args ((= @t16 (forall @t15 (= @v.0.U @t14))))) 16.13/16.57 (step @p308 :rule eq_resolve :premises (@p7 @p307)) 16.13/16.57 (step @p309 :rule instantiate :premises (@p308) :args (@t281)) 16.13/16.57 ; trust MACRO_SR_PRED_INTRO 16.13/16.57 (step @p310 :rule trust :premises () :args ((= (not @t195) @t194))) 16.13/16.57 (step @p311 :rule nary_cong :premises (@p138 @p310) :args (or)) 16.13/16.57 (step @p312 :rule cnf_or_neg :args (@t199 3)) 16.13/16.57 (step @p313 :rule eq_resolve :premises (@p312 @p311)) 16.13/16.57 (step @p314 :rule reordering :premises (@p313) :args ((or @t194 @t199))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p315 :rule trust :premises (@p314 @p99) :args (@t194)) 16.13/16.57 (assume-push @p316 @t282) 16.13/16.57 (assume-push @p317 @t217) 16.13/16.57 (assume-push @p318 @t194) 16.13/16.57 (assume-push @p319 @t255) 16.13/16.57 (assume-push @p320 @t255) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p321 :rule trust :premises (@p309) :args ((= @t283 0))) 16.13/16.57 ; trust MACRO_ARITH_SCALE_SUM_UB 16.13/16.57 (step @p322 :rule trust :premises (@p319 @p315 @p306 @p321) :args ((<= (+ (* -1 @t254) @t286 @t285 @t283) (+ @t284 @t271 @t284 0)))) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p323 false :rule trust :premises (@p322) :args (false)) 16.13/16.57 (step-pop @p1007 :rule scope :premises (@p323)) 16.13/16.57 (step @p324 :rule process_scope :premises (@p1007) :args (false)) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p326 :rule trust :premises (@p324) :args ((< @t254 0))) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p327 :rule trust :premises (@p326) :args (@t287)) 16.13/16.57 (step @p328 false :rule contra :premises (@p319 @p327)) 16.13/16.57 (step-pop @p1008 :rule scope :premises (@p328)) 16.13/16.57 (step-pop @p1009 :rule scope :premises (@p1008)) 16.13/16.57 (step-pop @p1010 :rule scope :premises (@p1009)) 16.13/16.57 (step-pop @p1011 :rule scope :premises (@p1010)) 16.13/16.57 (step @p329 :rule process_scope :premises (@p1011) :args (false)) 16.13/16.57 (assume-push @p334 @t194) 16.13/16.57 (assume-push @p335 @t282) 16.13/16.57 (assume-push @p336 @t217) 16.13/16.57 (assume-push @p337 @t255) 16.13/16.57 (step @p338 :rule and_intro :premises (@p309 @p306 @p315 @p319)) 16.13/16.57 (step-pop @p1012 :rule scope :premises (@p338)) 16.13/16.57 (step-pop @p1013 :rule scope :premises (@p1012)) 16.13/16.57 (step-pop @p1014 :rule scope :premises (@p1013)) 16.13/16.57 (step-pop @p1015 :rule scope :premises (@p1014)) 16.13/16.57 (step @p339 :rule process_scope :premises (@p1015) :args (@t288)) 16.13/16.57 (step @p344 :rule implies_elim :premises (@p339)) 16.13/16.57 (step @p345 :rule resolution :premises (@p344 @p329) :args (true @t288)) 16.13/16.57 (step @p346 :rule not_and :premises (@p345)) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p347 :rule trust :premises (@p346 @p315 @p309 @p306) :args (@t287)) 16.13/16.57 (step @p348 :rule refl :args (@t290)) 16.13/16.57 (step @p349 :rule nary_cong :premises (@p214 @p213 @p348) :args (or)) 16.13/16.57 (assume-push @p350 @t266) 16.13/16.57 (assume-push @p351 @t263) 16.13/16.57 (assume-push @p352 @t289) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p353 :rule trust :premises (@p220) :args (@t274)) 16.13/16.57 (step @p354 :rule arith_trichotomy :premises (@p231 @p353)) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p355 :rule trust :premises (@p354) :args (@t290)) 16.13/16.57 (step @p356 false :rule contra :premises (@p352 @p355)) 16.13/16.57 (step-pop @p1016 :rule scope :premises (@p356)) 16.13/16.57 (step-pop @p1017 :rule scope :premises (@p1016)) 16.13/16.57 (step-pop @p1018 :rule scope :premises (@p1017)) 16.13/16.57 (step @p357 :rule process_scope :premises (@p1018) :args (false)) 16.13/16.57 (step @p361 :rule not_and :premises (@p357)) 16.13/16.57 (step @p362 :rule eq_resolve :premises (@p361 @p349)) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p363 :rule trust :premises (@p362 @p211 @p206) :args (@t290)) 16.13/16.57 (step @p364 :rule cnf_or_neg :args (@t199 15)) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p365 :rule trust :premises (@p364 @p99) :args (@t291)) 16.13/16.57 ; trust MACRO_SR_EQ_INTRO 16.13/16.57 (step @p366 :rule trust :premises () :args ((= @t106 (forall @t15 (or (not @t105) (= @v.0.U1 @t104)))))) 16.13/16.57 (step @p367 :rule eq_resolve :premises (@p56 @p366)) 16.13/16.57 (step @p368 :rule instantiate :premises (@p367) :args (@t281)) 16.13/16.57 (step @p369 :rule instantiate :premises (@p33) :args ((@list @t134))) 16.13/16.57 (step @p370 :rule cnf_or_pos :args (@t294)) 16.13/16.57 (step @p371 :rule reordering :premises (@p370) :args ((or @t293 @t292 (not @t294)))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p372 :rule trust :premises (@p371 @p369 @p368) :args (@t292)) 16.13/16.57 (step @p373 :rule instantiate :premises (@p367) :args ((@list tptp.elt1 @t136 @t147))) 16.13/16.57 (step @p374 :rule instantiate :premises (@p33) :args ((@list @t146))) 16.13/16.57 (step @p375 :rule cnf_or_pos :args (@t297)) 16.13/16.57 (step @p376 :rule reordering :premises (@p375) :args ((or @t296 @t295 (not @t297)))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p377 :rule trust :premises (@p376 @p374 @p373) :args (@t295)) 16.13/16.57 ; trust MACRO_SR_EQ_INTRO 16.13/16.57 (step @p378 :rule trust :premises () :args ((= @t111 (forall @t5 (or (not @t110) (= @v.0.J @t109)))))) 16.13/16.57 (step @p379 :rule eq_resolve :premises (@p62 @p378)) 16.13/16.57 (step @p380 :rule instantiate :premises (@p379) :args ((@list @t145))) 16.13/16.57 (step @p381 :rule instantiate :premises (@p48) :args (@t298)) 16.13/16.57 (step @p382 :rule cnf_or_pos :args (@t301)) 16.13/16.57 (step @p383 :rule reordering :premises (@p382) :args ((or @t300 @t299 (not @t301)))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p384 :rule trust :premises (@p383 @p381 @p380) :args (@t299)) 16.13/16.57 ; trust MACRO_SR_EQ_INTRO 16.13/16.57 (step @p385 :rule trust :premises () :args ((= @t99 (forall (@list @v.0.A @v.0.B @v.0.M @v.0.A2 @v.0.B1) (or (not @t39) (= @v.0.B1 (tptp.get @v.0.B @v.0.A (tptp.set @v.0.B @v.0.A @v.0.M @v.0.A2 @v.0.B1) @v.0.A2))))))) 16.13/16.57 (step @p386 :rule eq_resolve :premises (@p49 @p385)) 16.13/16.57 (step @p387 :rule instantiate :premises (@p386) :args (@t298)) 16.13/16.57 (step @p388 :rule instantiate :premises (@p61) :args ((@list tptp.int tptp.elt1 @t135 @t139))) 16.13/16.57 (step @p389 :rule cnf_or_pos :args (@t304)) 16.13/16.57 (step @p390 :rule reordering :premises (@p389) :args ((or @t303 @t302 (not @t304)))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p391 :rule trust :premises (@p390 @p388 @p387) :args (@t302)) 16.13/16.57 (step @p392 :rule instantiate :premises (@p4) :args ((@list tptp.elt1 @t148 @t141))) 16.13/16.57 (step @p393 :rule cnf_and_pos :args (@t246 5)) 16.13/16.57 (step @p394 :rule reordering :premises (@p393) :args ((or @t238 @t250))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p395 :rule trust :premises (@p394 @p152) :args (@t238)) 16.13/16.57 (step @p396 :rule refl :args (@t306)) 16.13/16.57 (step @p397 :rule refl :args (@t307)) 16.13/16.57 (step @p398 :rule refl :args (@t308)) 16.13/16.57 (step @p399 :rule refl :args ((not @t309))) 16.13/16.57 (step @p400 :rule refl :args (@t312)) 16.13/16.57 (step @p401 :rule refl :args (@t314)) 16.13/16.57 (step @p402 :rule refl :args ((not @t299))) 16.13/16.57 (step @p403 :rule refl :args ((not @t295))) 16.13/16.57 (step @p404 :rule refl :args (@t315)) 16.13/16.57 (step @p405 :rule refl :args ((not @t302))) 16.13/16.57 ; trust MACRO_SR_PRED_INTRO 16.13/16.57 (step @p406 :rule trust :premises () :args ((= (not @t291) @t174))) 16.13/16.57 (step @p407 :rule nary_cong :premises (@p406 @p405 @p404 @p403 @p402 @p401 @p400 @p399 @p398 @p169 @p397 @p396) :args (or)) 16.13/16.57 (assume-push @p408 @t259) 16.13/16.57 (assume-push @p409 @t311) 16.13/16.57 (assume-push @p410 @t313) 16.13/16.57 (assume-push @p411 @t295) 16.13/16.57 (assume-push @p412 @t299) 16.13/16.57 (assume-push @p413 @t256) 16.13/16.57 (assume-push @p414 @t238) 16.13/16.57 (assume-push @p415 @t292) 16.13/16.57 (assume-push @p416 @t316) 16.13/16.57 (assume-push @p417 @t309) 16.13/16.57 (assume-push @p418 @t302) 16.13/16.57 (assume-push @p419 @t291) 16.13/16.57 (step @p420 :rule symm :premises (@p416)) 16.13/16.57 (step @p421 :rule symm :premises (@p420)) 16.13/16.57 (step @p422 :rule cong :premises (@p179 @p76 @p421) :args (tptp.get1)) 16.13/16.57 (step @p423 :rule symm :premises (@p392)) 16.13/16.57 (step @p424 :rule refl :args (@t142)) 16.13/16.57 (step @p425 :rule trans :premises (@p384 @p377)) 16.13/16.57 (step @p426 :rule refl :args (tptp.int)) 16.13/16.57 (step @p427 :rule cong :premises (@p179 @p426 @p425 @p424) :args (tptp.get)) 16.13/16.57 (step @p428 :rule trans :premises (@p391 @p427 @p423 @p422)) 16.13/16.57 (step @p429 :rule cong :premises (@p428) :args (tptp.tb2t4)) 16.13/16.57 (step @p430 :rule symm :premises (@p119)) 16.13/16.57 (step @p431 :rule symm :premises (@p413)) 16.13/16.57 (step @p432 :rule symm :premises (@p431)) 16.13/16.57 (step @p433 :rule cong :premises (@p432) :args (tptp.t2tb)) 16.13/16.57 (step @p434 :rule cong :premises (@p179 @p76) :args (tptp.elts)) 16.13/16.57 (step @p435 :rule cong :premises (@p179 @p426 @p434 @p433) :args (tptp.get)) 16.13/16.57 (step @p436 :rule cong :premises (@p179 @p426 @p372 @p424) :args (tptp.get)) 16.13/16.57 (step @p437 :rule trans :premises (@p436 @p395 @p435 @p430)) 16.13/16.57 (step @p438 :rule cong :premises (@p437) :args (tptp.tb2t4)) 16.13/16.57 (step @p439 :rule cong :premises (@p183 @p438 @p429) :args (tptp.le)) 16.13/16.57 (step @p440 :rule false_intro :premises (@p365)) 16.13/16.57 (step @p441 :rule symm :premises (@p440)) 16.13/16.57 (step @p442 :rule trans :premises (@p441 @p439 @p176)) 16.13/16.57 ; trust MACRO_SR_PRED_ELIM 16.13/16.57 (step @p443 false :rule trust :premises (@p442) :args (false)) 16.13/16.57 (step-pop @p1019 :rule scope :premises (@p443)) 16.13/16.57 (step-pop @p1020 :rule scope :premises (@p1019)) 16.13/16.57 (step-pop @p1021 :rule scope :premises (@p1020)) 16.13/16.57 (step-pop @p1022 :rule scope :premises (@p1021)) 16.13/16.57 (step-pop @p1023 :rule scope :premises (@p1022)) 16.13/16.57 (step-pop @p1024 :rule scope :premises (@p1023)) 16.13/16.57 (step-pop @p1025 :rule scope :premises (@p1024)) 16.13/16.57 (step-pop @p1026 :rule scope :premises (@p1025)) 16.13/16.57 (step-pop @p1027 :rule scope :premises (@p1026)) 16.13/16.57 (step-pop @p1028 :rule scope :premises (@p1027)) 16.13/16.57 (step-pop @p1029 :rule scope :premises (@p1028)) 16.13/16.57 (step-pop @p1030 :rule scope :premises (@p1029)) 16.13/16.57 (step @p444 :rule process_scope :premises (@p1030) :args (false)) 16.13/16.57 (assume-push @p457 @t291) 16.13/16.57 (assume-push @p458 @t302) 16.13/16.57 (assume-push @p459 @t292) 16.13/16.57 (assume-push @p460 @t295) 16.13/16.57 (assume-push @p461 @t299) 16.13/16.57 (assume-push @p462 @t313) 16.13/16.57 (assume-push @p463 @t311) 16.13/16.57 (assume-push @p464 @t309) 16.13/16.57 (assume-push @p465 @t238) 16.13/16.57 (assume-push @p466 @t259) 16.13/16.57 (assume-push @p467 @t256) 16.13/16.57 (assume-push @p468 @t305) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p469 :rule trust :premises (@p468) :args (@t316)) 16.13/16.57 (step @p470 :rule and_intro :premises (@p168 @p119 @p76 @p377 @p384 @p413 @p395 @p372 @p469 @p392 @p391 @p365)) 16.13/16.57 (step-pop @p1031 :rule scope :premises (@p470)) 16.13/16.57 (step-pop @p1032 :rule scope :premises (@p1031)) 16.13/16.57 (step-pop @p1033 :rule scope :premises (@p1032)) 16.13/16.57 (step-pop @p1034 :rule scope :premises (@p1033)) 16.13/16.57 (step-pop @p1035 :rule scope :premises (@p1034)) 16.13/16.57 (step-pop @p1036 :rule scope :premises (@p1035)) 16.13/16.57 (step-pop @p1037 :rule scope :premises (@p1036)) 16.13/16.57 (step-pop @p1038 :rule scope :premises (@p1037)) 16.13/16.57 (step-pop @p1039 :rule scope :premises (@p1038)) 16.13/16.57 (step-pop @p1040 :rule scope :premises (@p1039)) 16.13/16.57 (step-pop @p1041 :rule scope :premises (@p1040)) 16.13/16.57 (step-pop @p1042 :rule scope :premises (@p1041)) 16.13/16.57 (step @p471 :rule process_scope :premises (@p1042) :args (@t317)) 16.13/16.57 (step @p484 :rule implies_elim :premises (@p471)) 16.13/16.57 (step @p485 :rule resolution :premises (@p484 @p444) :args (true @t317)) 16.13/16.57 (step @p486 :rule not_and :premises (@p485)) 16.13/16.57 (step @p487 :rule eq_resolve :premises (@p486 @p407)) 16.13/16.57 ; trust MACRO_SR_PRED_INTRO 16.13/16.57 (step @p488 :rule trust :premises () :args ((= (not @t306) @t305))) 16.13/16.57 ; trust MACRO_SR_PRED_INTRO 16.13/16.57 (step @p489 :rule trust :premises () :args ((= (not @t290) @t289))) 16.13/16.57 (step @p490 :rule nary_cong :premises (@p215 @p489 @p397 @p488) :args (or)) 16.13/16.57 (assume-push @p491 @t265) 16.13/16.57 (assume-push @p492 @t306) 16.13/16.57 (assume-push @p493 @t290) 16.13/16.57 (assume-push @p494 @t256) 16.13/16.57 (assume-push @p495 @t318) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p496 :rule trust :premises (@p492) :args (@t319)) 16.13/16.57 (step @p497 :rule int_tight_ub :premises (@p222)) 16.13/16.57 (step @p498 :rule arith_trichotomy :premises (@p497 @p496)) 16.13/16.57 (step @p499 :rule int_tight_ub :premises (@p498)) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p500 :rule trust :premises (@p493) :args ((< @t214 0))) 16.13/16.57 ; trust MACRO_ARITH_SCALE_SUM_UB 16.13/16.57 (step @p501 :rule trust :premises (@p495 @p500 @p499) :args ((< (+ @t273 @t214 @t211) (+ @t284 0 0)))) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p502 false :rule trust :premises (@p501) :args (false)) 16.13/16.57 (step-pop @p1043 :rule scope :premises (@p502)) 16.13/16.57 (step @p503 :rule process_scope :premises (@p1043) :args (false)) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p505 :rule trust :premises (@p503) :args (@t320)) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p506 :rule trust :premises (@p505) :args (@t320)) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p507 :rule trust :premises (@p413) :args (@t318)) 16.13/16.57 (step @p508 false :rule contra :premises (@p507 @p506)) 16.13/16.57 (step-pop @p1044 :rule scope :premises (@p508)) 16.13/16.57 (step-pop @p1045 :rule scope :premises (@p1044)) 16.13/16.57 (step-pop @p1046 :rule scope :premises (@p1045)) 16.13/16.57 (step-pop @p1047 :rule scope :premises (@p1046)) 16.13/16.57 (step @p509 :rule process_scope :premises (@p1047) :args (false)) 16.13/16.57 (assume-push @p514 @t265) 16.13/16.57 (assume-push @p515 @t290) 16.13/16.57 (assume-push @p516 @t256) 16.13/16.57 (assume-push @p517 @t306) 16.13/16.57 (step @p518 :rule and_intro :premises (@p209 @p492 @p493 @p413)) 16.13/16.57 (step-pop @p1048 :rule scope :premises (@p518)) 16.13/16.57 (step-pop @p1049 :rule scope :premises (@p1048)) 16.13/16.57 (step-pop @p1050 :rule scope :premises (@p1049)) 16.13/16.57 (step-pop @p1051 :rule scope :premises (@p1050)) 16.13/16.57 (step @p519 :rule process_scope :premises (@p1051) :args (@t321)) 16.13/16.57 (step @p524 :rule implies_elim :premises (@p519)) 16.13/16.57 (step @p525 :rule resolution :premises (@p524 @p509) :args (true @t321)) 16.13/16.57 (step @p526 :rule not_and :premises (@p525)) 16.13/16.57 (step @p527 :rule eq_resolve :premises (@p526 @p490)) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p528 :rule trust :premises (@p527 @p209 @p487 @p395 @p168 @p392 @p119 @p391 @p384 @p377 @p372 @p76 @p365) :args ((or @t289 @t307))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p529 :rule trust :premises (@p528 @p363) :args (@t307)) 16.13/16.57 (step @p530 :rule cnf_or_pos :args (@t258)) 16.13/16.57 (step @p531 :rule reordering :premises (@p530) :args ((or @t256 @t255 @t253 @t251 @t257 (not @t258)))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p532 :rule trust :premises (@p531 @p529 @p347 @p299 @p277 @p162) :args (@t251)) 16.13/16.57 (step @p533 :rule instantiate :premises (@p4) :args ((@list tptp.elt1 @t157 @t207))) 16.13/16.57 (step @p534 :rule instantiate :premises (@p4) :args ((@list tptp.elt1 @t137 @t207))) 16.13/16.57 (assume-push @p535 @t245) 16.13/16.57 (step @p536 :rule instantiate :premises (@p155) :args ((@list @t207))) 16.13/16.57 (step-pop @p1052 :rule scope :premises (@p536)) 16.13/16.57 (step @p537 :rule process_scope :premises (@p1052) :args ((or @t328 @t326 (= @t207 @t141) (= @t207 @t138) @t324))) 16.13/16.57 ; trust MACRO_SR_PRED_ELIM 16.13/16.57 (step @p539 :rule trust :premises (@p537) :args ((=> @t245 @t330))) 16.13/16.57 (step @p540 :rule implies_elim :premises (@p539)) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p541 :rule trust :premises (@p540 @p155) :args (@t330)) 16.13/16.57 (step @p542 :rule refl :args (@t331)) 16.13/16.57 (step @p543 :rule refl :args (@t218)) 16.13/16.57 (step @p544 :rule refl :args (@t332)) 16.13/16.57 (step @p545 :rule refl :args (@t195)) 16.13/16.57 (step @p546 :rule nary_cong :premises (@p545 @p544 @p543 @p214 @p542) :args (or)) 16.13/16.57 (assume-push @p547 @t282) 16.13/16.57 (assume-push @p548 @t266) 16.13/16.57 (assume-push @p549 @t217) 16.13/16.57 (assume-push @p550 @t194) 16.13/16.57 (assume-push @p551 @t328) 16.13/16.57 (assume-push @p552 @t328) 16.13/16.57 ; trust MACRO_ARITH_SCALE_SUM_UB 16.13/16.57 (step @p553 :rule trust :premises (@p551 @p315 @p306 @p230 @p321) :args ((< (+ (* -1 @t327) @t286 @t285 @t214 @t283) (+ @t284 @t271 @t284 1 0)))) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p554 false :rule trust :premises (@p553) :args (false)) 16.13/16.57 (step-pop @p1053 :rule scope :premises (@p554)) 16.13/16.57 (step @p555 :rule process_scope :premises (@p1053) :args (false)) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p557 :rule trust :premises (@p555) :args ((< @t327 0))) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p558 :rule trust :premises (@p557) :args (@t331)) 16.13/16.57 (step @p559 false :rule contra :premises (@p551 @p558)) 16.13/16.57 (step-pop @p1054 :rule scope :premises (@p559)) 16.13/16.57 (step-pop @p1055 :rule scope :premises (@p1054)) 16.13/16.57 (step-pop @p1056 :rule scope :premises (@p1055)) 16.13/16.57 (step-pop @p1057 :rule scope :premises (@p1056)) 16.13/16.57 (step-pop @p1058 :rule scope :premises (@p1057)) 16.13/16.57 (step @p560 :rule process_scope :premises (@p1058) :args (false)) 16.13/16.57 (assume-push @p566 @t194) 16.13/16.57 (assume-push @p567 @t282) 16.13/16.57 (assume-push @p568 @t217) 16.13/16.57 (assume-push @p569 @t266) 16.13/16.57 (assume-push @p570 @t328) 16.13/16.57 (step @p571 :rule and_intro :premises (@p309 @p211 @p306 @p315 @p551)) 16.13/16.57 (step-pop @p1059 :rule scope :premises (@p571)) 16.13/16.57 (step-pop @p1060 :rule scope :premises (@p1059)) 16.13/16.57 (step-pop @p1061 :rule scope :premises (@p1060)) 16.13/16.57 (step-pop @p1062 :rule scope :premises (@p1061)) 16.13/16.57 (step-pop @p1063 :rule scope :premises (@p1062)) 16.13/16.57 (step @p572 :rule process_scope :premises (@p1063) :args (@t333)) 16.13/16.57 (step @p578 :rule implies_elim :premises (@p572)) 16.13/16.57 (step @p579 :rule resolution :premises (@p578 @p560) :args (true @t333)) 16.13/16.57 (step @p580 :rule not_and :premises (@p579)) 16.13/16.57 (step @p581 :rule eq_resolve :premises (@p580 @p546)) 16.13/16.57 (step @p582 :rule reordering :premises (@p581) :args ((or @t195 @t332 @t215 @t218 @t331))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p583 :rule trust :premises (@p582 @p315 @p309 @p211 @p306) :args (@t331)) 16.13/16.57 ; trust MACRO_SR_PRED_INTRO 16.13/16.57 (step @p584 :rule trust :premises () :args ((= (not @t326) @t325))) 16.13/16.57 (step @p585 :rule refl :args (@t179)) 16.13/16.57 (step @p586 :rule nary_cong :premises (@p585 @p215 @p584) :args (or)) 16.13/16.57 (assume-push @p587 @t178) 16.13/16.57 (assume-push @p588 @t265) 16.13/16.57 (assume-push @p589 @t326) 16.13/16.57 (assume-push @p590 @t334) 16.13/16.57 ; trust MACRO_ARITH_SCALE_SUM_UB 16.13/16.57 (step @p591 :rule trust :premises (@p590 @p222 @p283) :args ((< (+ @t207 @t211 @t161) @t272))) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p592 false :rule trust :premises (@p591) :args (false)) 16.13/16.57 (step-pop @p1064 :rule scope :premises (@p592)) 16.13/16.57 (step @p593 :rule process_scope :premises (@p1064) :args (false)) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p595 :rule trust :premises (@p593) :args ((> @t207 -1))) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p596 :rule trust :premises (@p595) :args ((not @t334))) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p597 :rule trust :premises (@p589) :args ((< @t207 0))) 16.13/16.57 (step @p598 :rule int_tight_ub :premises (@p597)) 16.13/16.57 (step @p599 false :rule contra :premises (@p598 @p596)) 16.13/16.57 (step-pop @p1065 :rule scope :premises (@p599)) 16.13/16.57 (step-pop @p1066 :rule scope :premises (@p1065)) 16.13/16.57 (step-pop @p1067 :rule scope :premises (@p1066)) 16.13/16.57 (step @p600 :rule process_scope :premises (@p1067) :args (false)) 16.13/16.57 (step @p604 :rule not_and :premises (@p600)) 16.13/16.57 (step @p605 :rule eq_resolve :premises (@p604 @p586)) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p606 :rule trust :premises (@p605 @p283 @p209) :args (@t325)) 16.13/16.57 ; trust MACRO_SR_EQ_INTRO 16.13/16.57 (step @p607 :rule trust :premises () :args ((= @t68 (forall @t67 (or @t46 (not @t66) @t65))))) 16.13/16.57 (step @p608 :rule eq_resolve :premises (@p29 @p607)) 16.13/16.57 (step @p609 :rule instantiate :premises (@p608) :args ((@list @t156 @t209 @t173 @t206))) 16.13/16.57 (assume-push @p610 @t307) 16.13/16.57 (assume-push @p611 @t269) 16.13/16.57 (assume-push @p612 @t178) 16.13/16.57 (assume-push @p613 @t253) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p614 :rule trust :premises (@p259) :args (@t278)) 16.13/16.57 (step @p615 :rule int_tight_ub :premises (@p614)) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p616 :rule trust :premises (@p610) :args (@t320)) 16.13/16.57 (step @p617 :rule arith_trichotomy :premises (@p616 @p615)) 16.13/16.57 (step @p618 :rule int_tight_ub :premises (@p617)) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p619 :rule trust :premises (@p286) :args (@t279)) 16.13/16.57 ; trust MACRO_ARITH_SCALE_SUM_UB 16.13/16.57 (step @p620 :rule trust :premises (@p619 @p618 @p283) :args ((< @t280 (+ 0 -1 @t271)))) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p621 false :rule trust :premises (@p620) :args (false)) 16.13/16.57 (step-pop @p1068 :rule scope :premises (@p621)) 16.13/16.57 (step-pop @p1069 :rule scope :premises (@p1068)) 16.13/16.57 (step-pop @p1070 :rule scope :premises (@p1069)) 16.13/16.57 (step-pop @p1071 :rule scope :premises (@p1070)) 16.13/16.57 (step @p622 :rule process_scope :premises (@p1071) :args (false)) 16.13/16.57 (step @p627 :rule not_and :premises (@p622)) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p628 :rule trust :premises (@p627) :args ((or @t256 @t268 @t179 @t252))) 16.13/16.57 (step @p629 :rule reordering :premises (@p628) :args ((or @t179 @t256 @t268 @t252))) 16.13/16.57 (step @p630 :rule refl :args (@t336)) 16.13/16.57 ; trust MACRO_SR_PRED_INTRO 16.13/16.57 (step @p631 :rule trust :premises () :args ((= (not @t307) @t256))) 16.13/16.57 (step @p632 :rule nary_cong :premises (@p631 @p257 @p630) :args (or)) 16.13/16.57 (assume-push @p633 @t307) 16.13/16.57 (assume-push @p634 @t269) 16.13/16.57 (assume-push @p635 @t307) 16.13/16.57 (assume-push @p636 @t269) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p637 :rule trust :premises (@p259) :args (@t278)) 16.13/16.57 (step @p638 :rule int_tight_ub :premises (@p637)) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p639 :rule trust :premises (@p610) :args (@t320)) 16.13/16.57 (step @p640 :rule arith_trichotomy :premises (@p639 @p638)) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p641 :rule trust :premises (@p640) :args (@t336)) 16.13/16.57 (step-pop @p1072 :rule scope :premises (@p641)) 16.13/16.57 (step-pop @p1073 :rule scope :premises (@p1072)) 16.13/16.57 (step @p642 :rule process_scope :premises (@p1073) :args (@t336)) 16.13/16.57 (step @p645 :rule and_intro :premises (@p610 @p259)) 16.13/16.57 (step @p646 :rule modus_ponens :premises (@p645 @p642)) 16.13/16.57 (step-pop @p1074 :rule scope :premises (@p646)) 16.13/16.57 (step-pop @p1075 :rule scope :premises (@p1074)) 16.13/16.57 (step @p647 :rule process_scope :premises (@p1075) :args (@t336)) 16.13/16.57 (step @p650 :rule implies_elim :premises (@p647)) 16.13/16.57 (step @p651 :rule cnf_and_neg :args (@t337)) 16.13/16.57 (step @p652 :rule resolution :premises (@p651 @p650) :args (true @t337)) 16.13/16.57 (step @p653 :rule eq_resolve :premises (@p652 @p632)) 16.13/16.57 ; trust MACRO_SR_PRED_INTRO 16.13/16.57 (step @p654 :rule trust :premises () :args ((= (not @t187) @t186))) 16.13/16.57 (step @p655 :rule nary_cong :premises (@p138 @p654) :args (or)) 16.13/16.57 (step @p656 :rule cnf_or_neg :args (@t199 7)) 16.13/16.57 (step @p657 :rule eq_resolve :premises (@p656 @p655)) 16.13/16.57 (step @p658 :rule reordering :premises (@p657) :args ((or @t186 @t199))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p659 :rule trust :premises (@p658 @p99) :args (@t186)) 16.13/16.57 (assume-push @p660 @t186) 16.13/16.57 (step @p661 :rule instantiate :premises (@p659) :args ((@list @t141 @t204))) 16.13/16.57 (step-pop @p1076 :rule scope :premises (@p661)) 16.13/16.57 (step @p662 :rule process_scope :premises (@p1076) :args ((or @t222 (not (>= (+ @t204 @t161) 1)) (>= (+ @t141 @t161) 0) (not (>= @t141 0)) @t338))) 16.13/16.57 ; trust MACRO_SR_PRED_ELIM 16.13/16.57 (step @p664 :rule trust :premises (@p662) :args ((=> @t186 @t339))) 16.13/16.57 (step @p665 :rule implies_elim :premises (@p664)) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p666 :rule trust :premises (@p665 @p659) :args (@t339)) 16.13/16.57 (step @p667 :rule cnf_or_pos :args (@t339)) 16.13/16.57 (step @p668 :rule reordering :premises (@p667) :args ((or @t179 @t218 @t335 @t338 (not @t339)))) 16.13/16.57 (step @p669 :rule refl :args ((not @t338))) 16.13/16.57 ; trust MACRO_SR_PRED_INTRO 16.13/16.57 (step @p670 :rule trust :premises () :args ((= (not @t341) @t340))) 16.13/16.57 (step @p671 :rule refl :args (@t342)) 16.13/16.57 (step @p672 :rule nary_cong :premises (@p404 @p401 @p400 @p671 @p670 @p669) :args (or)) 16.13/16.57 (assume-push @p673 @t341) 16.13/16.57 (assume-push @p674 @t251) 16.13/16.57 (assume-push @p675 @t311) 16.13/16.57 (assume-push @p676 @t313) 16.13/16.57 (assume-push @p677 @t338) 16.13/16.57 (assume-push @p678 @t292) 16.13/16.57 (step @p679 :rule true_intro :premises (@p677)) 16.13/16.57 (step @p680 :rule refl :args (@t225)) 16.13/16.57 (step @p681 :rule symm :premises (@p372)) 16.13/16.57 (step @p682 :rule cong :premises (@p179 @p426 @p681 @p680) :args (tptp.get)) 16.13/16.57 (step @p683 :rule symm :premises (@p674)) 16.13/16.57 (step @p684 :rule symm :premises (@p76)) 16.13/16.57 (step @p685 :rule cong :premises (@p179 @p684) :args (tptp.elts)) 16.13/16.57 (step @p686 :rule cong :premises (@p179 @p426 @p685 @p680) :args (tptp.get)) 16.13/16.57 (step @p687 :rule trans :premises (@p119 @p686 @p683 @p682)) 16.13/16.57 (step @p688 :rule cong :premises (@p687) :args (tptp.tb2t4)) 16.13/16.57 (step @p689 :rule refl :args (@t173)) 16.13/16.57 (step @p690 :rule cong :premises (@p183 @p689 @p688) :args (tptp.le)) 16.13/16.57 (step @p691 :rule false_intro :premises (@p673)) 16.13/16.57 (step @p692 :rule symm :premises (@p691)) 16.13/16.57 (step @p693 :rule trans :premises (@p692 @p690 @p679)) 16.13/16.57 ; trust MACRO_SR_PRED_ELIM 16.13/16.57 (step @p694 false :rule trust :premises (@p693) :args (false)) 16.13/16.57 (step-pop @p1077 :rule scope :premises (@p694)) 16.13/16.57 (step-pop @p1078 :rule scope :premises (@p1077)) 16.13/16.57 (step-pop @p1079 :rule scope :premises (@p1078)) 16.13/16.57 (step-pop @p1080 :rule scope :premises (@p1079)) 16.13/16.57 (step-pop @p1081 :rule scope :premises (@p1080)) 16.13/16.57 (step-pop @p1082 :rule scope :premises (@p1081)) 16.13/16.57 (step @p695 :rule process_scope :premises (@p1082) :args (false)) 16.13/16.57 (assume-push @p702 @t292) 16.13/16.57 (assume-push @p703 @t313) 16.13/16.57 (assume-push @p704 @t311) 16.13/16.57 (assume-push @p705 @t251) 16.13/16.57 (assume-push @p706 @t341) 16.13/16.57 (assume-push @p707 @t338) 16.13/16.57 (step @p708 :rule and_intro :premises (@p673 @p674 @p119 @p76 @p677 @p372)) 16.13/16.57 (step-pop @p1083 :rule scope :premises (@p708)) 16.13/16.57 (step-pop @p1084 :rule scope :premises (@p1083)) 16.13/16.57 (step-pop @p1085 :rule scope :premises (@p1084)) 16.13/16.57 (step-pop @p1086 :rule scope :premises (@p1085)) 16.13/16.57 (step-pop @p1087 :rule scope :premises (@p1086)) 16.13/16.57 (step-pop @p1088 :rule scope :premises (@p1087)) 16.13/16.57 (step @p709 :rule process_scope :premises (@p1088) :args (@t343)) 16.13/16.57 (step @p716 :rule implies_elim :premises (@p709)) 16.13/16.57 (step @p717 :rule resolution :premises (@p716 @p695) :args (true @t343)) 16.13/16.57 (step @p718 :rule not_and :premises (@p717)) 16.13/16.57 (step @p719 :rule eq_resolve :premises (@p718 @p672)) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p720 :rule trust :premises (@p719 @p119 @p372 @p76 @p531 @p347 @p162 @p668 @p666 @p306 @p283 @p276 @p653 @p629 @p283) :args ((or @t256 @t268 @t340))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p721 :rule trust :premises (@p720 @p529 @p255) :args (@t340)) 16.13/16.57 (step @p722 :rule cnf_or_pos :args (@t346)) 16.13/16.57 (step @p723 :rule reordering :premises (@p722) :args ((or @t210 @t345 @t341 (not @t346)))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p724 :rule trust :premises (@p723 @p118 @p721 @p609) :args (@t345)) 16.13/16.57 (step @p725 :rule instantiate :premises (@p164) :args ((@list @t156 @t173 @t172))) 16.13/16.57 (step @p726 :rule cnf_or_pos :args (@t348)) 16.13/16.57 (step @p727 :rule reordering :premises (@p726) :args ((or @t174 @t347 (not @t348)))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p728 :rule trust :premises (@p727 @p365 @p725) :args (@t347)) 16.13/16.57 ; trust MACRO_SR_PRED_INTRO 16.13/16.57 (step @p729 :rule trust :premises () :args ((= (not @t345) @t344))) 16.13/16.57 (step @p730 :rule refl :args ((not @t347))) 16.13/16.57 (step @p731 :rule nary_cong :premises (@p730 @p405 @p403 @p402 @p401 @p399 @p396 @p729) :args (or)) 16.13/16.57 (assume-push @p732 @t345) 16.13/16.57 (assume-push @p733 @t313) 16.13/16.57 (assume-push @p734 @t316) 16.13/16.57 (assume-push @p735 @t309) 16.13/16.57 (assume-push @p736 @t295) 16.13/16.57 (assume-push @p737 @t299) 16.13/16.57 (assume-push @p738 @t302) 16.13/16.57 (assume-push @p739 @t347) 16.13/16.57 (step @p740 :rule false_intro :premises (@p732)) 16.13/16.57 (step @p741 :rule symm :premises (@p416)) 16.13/16.57 (step @p742 :rule symm :premises (@p741)) 16.13/16.57 (step @p743 :rule cong :premises (@p179 @p76 @p742) :args (tptp.get1)) 16.13/16.57 (step @p744 :rule trans :premises (@p391 @p427 @p423 @p743)) 16.13/16.57 (step @p745 :rule cong :premises (@p744) :args (tptp.tb2t4)) 16.13/16.57 (step @p746 :rule cong :premises (@p183 @p745 @p689) :args (tptp.le)) 16.13/16.57 (step @p747 :rule true_intro :premises (@p728)) 16.13/16.57 (step @p748 :rule symm :premises (@p747)) 16.13/16.57 (step @p749 :rule trans :premises (@p748 @p746 @p740)) 16.13/16.57 ; trust MACRO_SR_PRED_ELIM 16.13/16.57 (step @p750 false :rule trust :premises (@p749) :args (false)) 16.13/16.57 (step-pop @p1089 :rule scope :premises (@p750)) 16.13/16.57 (step-pop @p1090 :rule scope :premises (@p1089)) 16.13/16.57 (step-pop @p1091 :rule scope :premises (@p1090)) 16.13/16.57 (step-pop @p1092 :rule scope :premises (@p1091)) 16.13/16.57 (step-pop @p1093 :rule scope :premises (@p1092)) 16.13/16.57 (step-pop @p1094 :rule scope :premises (@p1093)) 16.13/16.57 (step-pop @p1095 :rule scope :premises (@p1094)) 16.13/16.57 (step-pop @p1096 :rule scope :premises (@p1095)) 16.13/16.57 (step @p751 :rule process_scope :premises (@p1096) :args (false)) 16.13/16.57 (assume-push @p760 @t347) 16.13/16.57 (assume-push @p761 @t302) 16.13/16.57 (assume-push @p762 @t295) 16.13/16.57 (assume-push @p763 @t299) 16.13/16.57 (assume-push @p764 @t313) 16.13/16.57 (assume-push @p765 @t309) 16.13/16.57 (assume-push @p766 @t305) 16.13/16.57 (assume-push @p767 @t345) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p768 :rule trust :premises (@p468) :args (@t316)) 16.13/16.57 (step @p769 :rule and_intro :premises (@p732 @p76 @p768 @p392 @p377 @p384 @p391 @p728)) 16.13/16.57 (step-pop @p1097 :rule scope :premises (@p769)) 16.13/16.57 (step-pop @p1098 :rule scope :premises (@p1097)) 16.13/16.57 (step-pop @p1099 :rule scope :premises (@p1098)) 16.13/16.57 (step-pop @p1100 :rule scope :premises (@p1099)) 16.13/16.57 (step-pop @p1101 :rule scope :premises (@p1100)) 16.13/16.57 (step-pop @p1102 :rule scope :premises (@p1101)) 16.13/16.57 (step-pop @p1103 :rule scope :premises (@p1102)) 16.13/16.57 (step-pop @p1104 :rule scope :premises (@p1103)) 16.13/16.57 (step @p770 :rule process_scope :premises (@p1104) :args (@t349)) 16.13/16.57 (step @p779 :rule implies_elim :premises (@p770)) 16.13/16.57 (step @p780 :rule resolution :premises (@p779 @p751) :args (true @t349)) 16.13/16.57 (step @p781 :rule not_and :premises (@p780)) 16.13/16.57 (step @p782 :rule eq_resolve :premises (@p781 @p731)) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p783 :rule trust :premises (@p782 @p728 @p391 @p377 @p384 @p76 @p392 @p724) :args (@t306)) 16.13/16.57 (assume-push @p784 @t8) 16.13/16.57 (step @p785 :rule instantiate :premises (@p4) :args ((@list tptp.elt1 @t148 @t138))) 16.13/16.57 (step-pop @p1105 :rule scope :premises (@p785)) 16.13/16.57 (step @p786 :rule process_scope :premises (@p1105) :args ((= @t350 @t237))) 16.13/16.57 ; trust MACRO_SR_PRED_ELIM 16.13/16.57 (step @p788 :rule trust :premises (@p786) :args ((=> @t8 @t351))) 16.13/16.57 (step @p789 :rule implies_elim :premises (@p788)) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p790 :rule trust :premises (@p789 @p4) :args (@t351)) 16.13/16.57 (step @p791 :rule refl :args (@t341)) 16.13/16.57 (step @p792 :rule refl :args (@t352)) 16.13/16.57 (step @p793 :rule refl :args (@t353)) 16.13/16.57 (step @p794 :rule nary_cong :premises (@p404 @p401 @p793 @p170 @p400 @p398 @p792 @p671 @p791) :args (or)) 16.13/16.57 (assume-push @p795 @t251) 16.13/16.57 (assume-push @p796 @t340) 16.13/16.57 (assume-push @p797 @t351) 16.13/16.57 (assume-push @p798 @t238) 16.13/16.57 (assume-push @p799 @t292) 16.13/16.57 (assume-push @p800 @t311) 16.13/16.57 (assume-push @p801 @t224) 16.13/16.57 (assume-push @p802 @t329) 16.13/16.57 (assume-push @p803 @t313) 16.13/16.57 (step @p804 :rule true_intro :premises (@p796)) 16.13/16.57 (step @p805 :rule cong :premises (@p179 @p426 @p434 @p680) :args (tptp.get)) 16.13/16.57 (step @p806 :rule symm :premises (@p674)) 16.13/16.57 (step @p807 :rule symm :premises (@p806)) 16.13/16.57 (step @p808 :rule cong :premises (@p179 @p426 @p372 @p680) :args (tptp.get)) 16.13/16.57 (step @p809 :rule trans :premises (@p808 @p807 @p805 @p430)) 16.13/16.57 (step @p810 :rule cong :premises (@p809) :args (tptp.tb2t4)) 16.13/16.57 (step @p811 :rule cong :premises (@p183 @p689 @p810) :args (tptp.le)) 16.13/16.57 (step @p812 :rule symm :premises (@p810)) 16.13/16.57 (step @p813 :rule cong :premises (@p179 @p426 @p681 @p424) :args (tptp.get)) 16.13/16.57 (step @p814 :rule symm :premises (@p395)) 16.13/16.57 (step @p815 :rule symm :premises (@p802)) 16.13/16.57 (step @p816 :rule cong :premises (@p179 @p684 @p815) :args (tptp.get1)) 16.13/16.57 (step @p817 :rule trans :premises (@p816 @p785 @p814 @p813)) 16.13/16.57 (step @p818 :rule cong :premises (@p817) :args (tptp.tb2t4)) 16.13/16.57 (step @p819 :rule cong :premises (@p183 @p818 @p812) :args (tptp.le)) 16.13/16.57 (step @p820 :rule trans :premises (@p186 @p819 @p811 @p804)) 16.13/16.57 ; trust MACRO_SR_PRED_ELIM 16.13/16.57 (step @p821 false :rule trust :premises (@p820) :args (false)) 16.13/16.57 (step-pop @p1106 :rule scope :premises (@p821)) 16.13/16.57 (step-pop @p1107 :rule scope :premises (@p1106)) 16.13/16.57 (step-pop @p1108 :rule scope :premises (@p1107)) 16.13/16.57 (step-pop @p1109 :rule scope :premises (@p1108)) 16.13/16.57 (step-pop @p1110 :rule scope :premises (@p1109)) 16.13/16.57 (step-pop @p1111 :rule scope :premises (@p1110)) 16.13/16.57 (step-pop @p1112 :rule scope :premises (@p1111)) 16.13/16.57 (step-pop @p1113 :rule scope :premises (@p1112)) 16.13/16.57 (step-pop @p1114 :rule scope :premises (@p1113)) 16.13/16.57 (step @p822 :rule process_scope :premises (@p1114) :args (false)) 16.13/16.57 (assume-push @p832 @t292) 16.13/16.57 (assume-push @p833 @t313) 16.13/16.57 (assume-push @p834 @t329) 16.13/16.57 (assume-push @p835 @t224) 16.13/16.57 (assume-push @p836 @t311) 16.13/16.57 (assume-push @p837 @t238) 16.13/16.57 (assume-push @p838 @t351) 16.13/16.57 (assume-push @p839 @t251) 16.13/16.57 (assume-push @p840 @t340) 16.13/16.57 (step @p841 :rule and_intro :premises (@p674 @p796 @p790 @p395 @p372 @p119 @p118 @p802 @p76)) 16.13/16.57 (step-pop @p1115 :rule scope :premises (@p841)) 16.13/16.57 (step-pop @p1116 :rule scope :premises (@p1115)) 16.13/16.57 (step-pop @p1117 :rule scope :premises (@p1116)) 16.13/16.57 (step-pop @p1118 :rule scope :premises (@p1117)) 16.13/16.57 (step-pop @p1119 :rule scope :premises (@p1118)) 16.13/16.57 (step-pop @p1120 :rule scope :premises (@p1119)) 16.13/16.57 (step-pop @p1121 :rule scope :premises (@p1120)) 16.13/16.57 (step-pop @p1122 :rule scope :premises (@p1121)) 16.13/16.57 (step-pop @p1123 :rule scope :premises (@p1122)) 16.13/16.57 (step @p842 :rule process_scope :premises (@p1123) :args (@t354)) 16.13/16.57 (step @p852 :rule implies_elim :premises (@p842)) 16.13/16.57 (step @p853 :rule resolution :premises (@p852 @p822) :args (true @t354)) 16.13/16.57 (step @p854 :rule not_and :premises (@p853)) 16.13/16.57 (step @p855 :rule eq_resolve :premises (@p854 @p794)) 16.13/16.57 (step @p856 :rule reordering :premises (@p855) :args ((or @t315 @t314 @t210 @t312 @t308 @t353 @t352 @t342 @t341))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p857 :rule trust :premises (@p856 @p372 @p76 @p118 @p119 @p395 @p790 @p532 @p721) :args (@t353)) 16.13/16.57 (step @p858 :rule cnf_or_pos :args (@t330)) 16.13/16.57 (step @p859 :rule reordering :premises (@p858) :args ((or @t329 @t305 @t326 @t328 @t324 (not @t330)))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p860 :rule trust :premises (@p859 @p857 @p783 @p606 @p583 @p541) :args (@t324)) 16.13/16.57 (assume-push @p861 @t152) 16.13/16.57 (step @p862 :rule instantiate :premises (@p78) :args ((@list @t156 @t182 @t138 @t154))) 16.13/16.57 (step-pop @p1124 :rule scope :premises (@p862)) 16.13/16.57 (step @p863 :rule process_scope :premises (@p1124) :args ((= @t184 (forall @t59 (or @t159 @t151 (>= (+ @t138 @t149) 1) @t356))))) 16.13/16.57 ; trust MACRO_SR_PRED_ELIM 16.13/16.57 (step @p865 :rule trust :premises (@p863) :args ((=> @t152 @t358))) 16.13/16.57 (step @p866 :rule implies_elim :premises (@p865)) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p867 :rule trust :premises (@p866 @p78) :args (@t358)) 16.13/16.57 ; trust MACRO_SR_PRED_INTRO 16.13/16.57 (step @p868 :rule trust :premises () :args ((= (not @t185) @t184))) 16.13/16.57 (step @p869 :rule nary_cong :premises (@p138 @p868) :args (or)) 16.13/16.57 (step @p870 :rule cnf_or_neg :args (@t199 8)) 16.13/16.57 (step @p871 :rule eq_resolve :premises (@p870 @p869)) 16.13/16.57 (step @p872 :rule reordering :premises (@p871) :args ((or @t184 @t199))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p873 :rule trust :premises (@p872 @p99) :args (@t184)) 16.13/16.57 (step @p874 :rule cnf_equiv_pos1 :args (@t358)) 16.13/16.57 (step @p875 :rule reordering :premises (@p874) :args ((or @t185 @t357 (not @t358)))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p876 :rule trust :premises (@p875 @p873 @p867) :args (@t357)) 16.13/16.57 (assume-push @p877 @t357) 16.13/16.57 (step @p878 :rule instantiate :premises (@p876) :args ((@list @t207 @t204))) 16.13/16.57 (step-pop @p1125 :rule scope :premises (@p878)) 16.13/16.57 (step @p879 :rule process_scope :premises (@p1125) :args ((or @t222 @t215 (not (>= @t221 0)) @t359))) 16.13/16.57 ; trust MACRO_SR_PRED_ELIM 16.13/16.57 (step @p881 :rule trust :premises (@p879) :args ((=> @t357 @t361))) 16.13/16.57 (step @p882 :rule implies_elim :premises (@p881)) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p883 :rule trust :premises (@p882 @p876) :args (@t361)) 16.13/16.57 (step @p884 :rule refl :args (@t362)) 16.13/16.57 (step @p885 :rule nary_cong :premises (@p215 @p488 @p884) :args (or)) 16.13/16.57 (assume-push @p886 @t265) 16.13/16.57 (assume-push @p887 @t306) 16.13/16.57 (assume-push @p888 @t265) 16.13/16.57 (assume-push @p889 @t306) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p890 :rule trust :premises (@p492) :args (@t319)) 16.13/16.57 (step @p891 :rule arith_trichotomy :premises (@p497 @p890)) 16.13/16.57 ; trust MACRO_SR_PRED_TRANSFORM 16.13/16.57 (step @p892 :rule trust :premises (@p891) :args (@t362)) 16.13/16.57 (step-pop @p1126 :rule scope :premises (@p892)) 16.13/16.57 (step-pop @p1127 :rule scope :premises (@p1126)) 16.13/16.57 (step @p893 :rule process_scope :premises (@p1127) :args (@t362)) 16.13/16.57 (step @p896 :rule and_intro :premises (@p209 @p492)) 16.13/16.57 (step @p897 :rule modus_ponens :premises (@p896 @p893)) 16.13/16.57 (step-pop @p1128 :rule scope :premises (@p897)) 16.13/16.57 (step-pop @p1129 :rule scope :premises (@p1128)) 16.13/16.57 (step @p898 :rule process_scope :premises (@p1129) :args (@t362)) 16.13/16.57 (step @p901 :rule implies_elim :premises (@p898)) 16.13/16.57 (step @p902 :rule cnf_and_neg :args (@t363)) 16.13/16.57 (step @p903 :rule resolution :premises (@p902 @p901) :args (true @t363)) 16.13/16.57 (step @p904 :rule eq_resolve :premises (@p903 @p885)) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p905 :rule trust :premises (@p904 @p209 @p783) :args (@t362)) 16.13/16.57 (step @p906 :rule cnf_or_pos :args (@t361)) 16.13/16.57 (step @p907 :rule reordering :premises (@p906) :args ((or @t215 @t218 @t360 @t359 (not @t361)))) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p908 :rule trust :premises (@p907 @p211 @p306 @p905 @p883) :args (@t359)) 16.13/16.57 (step @p909 :rule refl :args ((not @t359))) 16.13/16.57 (step @p910 :rule refl :args ((not @t324))) 16.13/16.57 (step @p911 :rule refl :args ((not @t364))) 16.13/16.57 (step @p912 :rule refl :args ((not @t365))) 16.13/16.57 (step @p913 :rule refl :args ((not @t229))) 16.13/16.57 (step @p914 :rule refl :args ((not @t366))) 16.13/16.57 (step @p915 :rule nary_cong :premises (@p914 @p401 @p170 @p400 @p671 @p913 @p912 @p911 @p910 @p909) :args (or)) 16.13/16.57 (assume-push @p916 @t324) 16.13/16.57 (assume-push @p917 @t366) 16.13/16.57 (assume-push @p918 @t364) 16.13/16.57 (assume-push @p919 @t365) 16.13/16.57 (assume-push @p920 @t229) 16.13/16.57 (assume-push @p921 @t359) 16.13/16.57 (assume-push @p922 @t251) 16.13/16.57 (assume-push @p923 @t311) 16.13/16.57 (assume-push @p924 @t224) 16.13/16.57 (assume-push @p925 @t313) 16.13/16.57 (step @p926 :rule true_intro :premises (@p921)) 16.13/16.57 (step @p927 :rule refl :args (@t204)) 16.13/16.57 (step @p928 :rule cong :premises (@p179 @p75 @p927) :args (tptp.get1)) 16.13/16.57 (step @p929 :rule symm :premises (@p674)) 16.13/16.57 (step @p930 :rule trans :premises (@p119 @p686 @p929 @p126 @p928)) 16.13/16.57 (step @p931 :rule cong :premises (@p930) :args (tptp.tb2t4)) 16.13/16.57 (step @p932 :rule refl :args (@t207)) 16.13/16.57 (step @p933 :rule cong :premises (@p179 @p75 @p932) :args (tptp.get1)) 16.13/16.57 (step @p934 :rule symm :premises (@p534)) 16.13/16.57 (step @p935 :rule symm :premises (@p916)) 16.13/16.57 (step @p936 :rule refl :args (@t322)) 16.13/16.57 (step @p937 :rule cong :premises (@p179 @p426 @p685 @p936) :args (tptp.get)) 16.13/16.57 (step @p938 :rule trans :premises (@p533 @p937 @p935 @p934 @p933)) 16.13/16.57 (step @p939 :rule cong :premises (@p938) :args (tptp.tb2t4)) 16.13/16.57 (step @p940 :rule cong :premises (@p183 @p939 @p931) :args (tptp.le)) 16.13/16.57 (step @p941 :rule trans :premises (@p186 @p940 @p926)) 16.13/16.57 ; trust MACRO_SR_PRED_ELIM 16.13/16.57 (step @p942 false :rule trust :premises (@p941) :args (false)) 16.13/16.57 (step-pop @p1130 :rule scope :premises (@p942)) 16.13/16.57 (step-pop @p1131 :rule scope :premises (@p1130)) 16.13/16.57 (step-pop @p1132 :rule scope :premises (@p1131)) 16.13/16.57 (step-pop @p1133 :rule scope :premises (@p1132)) 16.13/16.57 (step-pop @p1134 :rule scope :premises (@p1133)) 16.13/16.57 (step-pop @p1135 :rule scope :premises (@p1134)) 16.13/16.57 (step-pop @p1136 :rule scope :premises (@p1135)) 16.13/16.57 (step-pop @p1137 :rule scope :premises (@p1136)) 16.13/16.57 (step-pop @p1138 :rule scope :premises (@p1137)) 16.13/16.57 (step-pop @p1139 :rule scope :premises (@p1138)) 16.13/16.57 (step @p943 :rule process_scope :premises (@p1139) :args (false)) 16.13/16.57 (assume-push @p954 @t366) 16.13/16.57 (assume-push @p955 @t313) 16.13/16.57 (assume-push @p956 @t224) 16.13/16.57 (assume-push @p957 @t311) 16.13/16.57 (assume-push @p958 @t251) 16.13/16.57 (assume-push @p959 @t229) 16.13/16.57 (assume-push @p960 @t365) 16.13/16.57 (assume-push @p961 @t364) 16.13/16.57 (assume-push @p962 @t324) 16.13/16.57 (assume-push @p963 @t359) 16.13/16.57 (step @p964 :rule and_intro :premises (@p916 @p75 @p534 @p533 @p126 @p921 @p674 @p119 @p118 @p76)) 16.13/16.57 (step-pop @p1140 :rule scope :premises (@p964)) 16.13/16.57 (step-pop @p1141 :rule scope :premises (@p1140)) 16.13/16.57 (step-pop @p1142 :rule scope :premises (@p1141)) 16.13/16.57 (step-pop @p1143 :rule scope :premises (@p1142)) 16.13/16.57 (step-pop @p1144 :rule scope :premises (@p1143)) 16.13/16.57 (step-pop @p1145 :rule scope :premises (@p1144)) 16.13/16.57 (step-pop @p1146 :rule scope :premises (@p1145)) 16.13/16.57 (step-pop @p1147 :rule scope :premises (@p1146)) 16.13/16.57 (step-pop @p1148 :rule scope :premises (@p1147)) 16.13/16.57 (step-pop @p1149 :rule scope :premises (@p1148)) 16.13/16.57 (step @p965 :rule process_scope :premises (@p1149) :args (@t367)) 16.13/16.57 (step @p976 :rule implies_elim :premises (@p965)) 16.13/16.57 (step @p977 :rule resolution :premises (@p976 @p943) :args (true @t367)) 16.13/16.57 (step @p978 :rule not_and :premises (@p977)) 16.13/16.57 (step @p979 :rule eq_resolve :premises (@p978 @p915)) 16.13/16.57 ; trust MACRO_RESOLUTION_TRUST 16.13/16.57 (step @p980 false :rule trust :premises (@p979 @p908 @p860 @p534 @p533 @p532 @p126 @p119 @p118 @p76 @p75) :args (false)) 16.13/16.57 16.13/16.57 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.357uM1SNAS/cvc5---1.0.5_23023.smt2 16.13/16.57 % cvc5---1.0.5 exiting 16.13/16.58 % cvc5---1.0.5 exiting 16.13/16.58 EOF