0.08/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.14 % Command : do_cvc5 %s %d THM 0.14/0.36 % Computer : n007.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 1440 0.14/0.36 % WCLimit : 180 0.14/0.36 % DateTime : Thu Jul 4 07:56:09 EDT 2024 0.14/0.36 % CPUTime : 0.21/0.56 %----Proving TF0_ARI 16.48/16.69 --- Run --finite-model-find --decision=internal at 15... 16.48/16.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --enum-inst at 10... 16.48/16.69 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.B9GskHwPjD/cvc5---1.0.5_6869.smt2 16.48/16.69 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.B9GskHwPjD/cvc5---1.0.5_6869.smt2 16.48/16.69 (declare-sort tptp.bool1 0) 16.48/16.69 (declare-sort tptp.tuple02 0) 16.48/16.69 (declare-sort tptp.array_int 0) 16.48/16.69 (declare-sort tptp.ty 0) 16.48/16.69 (declare-sort tptp.uni 0) 16.48/16.69 (declare-sort tptp.map_int_int 0) 16.48/16.69 (declare-fun tptp.tuple03 () tptp.tuple02) 16.48/16.69 (declare-fun tptp.map (tptp.ty tptp.ty) tptp.ty) 16.48/16.69 (declare-fun tptp.t2tb1 (tptp.map_int_int) tptp.uni) 16.48/16.69 (declare-fun tptp.mk_ref (tptp.ty tptp.uni) tptp.uni) 16.48/16.69 (declare-fun tptp.get2 (tptp.ty tptp.uni Int) tptp.uni) 16.48/16.69 (declare-fun tptp.make1 (tptp.ty Int tptp.uni) tptp.uni) 16.48/16.69 (declare-fun tptp.int () tptp.ty) 16.48/16.69 (declare-fun tptp.length1 (tptp.ty tptp.uni) Int) 16.48/16.69 (declare-fun tptp.array (tptp.ty) tptp.ty) 16.48/16.69 (declare-fun tptp.t2tb2 (tptp.array_int) tptp.uni) 16.48/16.69 (declare-fun tptp.set (tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni) tptp.uni) 16.48/16.69 (declare-fun tptp.t2tb (Int) tptp.uni) 16.48/16.69 (declare-fun tptp.false1 () tptp.bool1) 16.48/16.69 (declare-fun tptp.sort1 (tptp.ty tptp.uni) Bool) 16.48/16.69 (declare-fun tptp.is_max1 (tptp.array_int Int Int Int) Bool) 16.48/16.69 (declare-fun tptp.tb2t (tptp.uni) Int) 16.48/16.69 (declare-fun tptp.match_bool1 (tptp.ty tptp.bool1 tptp.uni tptp.uni) tptp.uni) 16.48/16.69 (declare-fun tptp.contents (tptp.ty tptp.uni) tptp.uni) 16.48/16.69 (declare-fun tptp.sum2 (tptp.map_int_int Int Int) Int) 16.48/16.69 (declare-fun tptp.ref (tptp.ty) tptp.ty) 16.48/16.69 (declare-fun tptp.const (tptp.ty tptp.ty tptp.uni) tptp.uni) 16.48/16.69 (declare-fun tptp.tb2t2 (tptp.uni) tptp.array_int) 16.48/16.69 (declare-fun tptp.get (tptp.ty tptp.ty tptp.uni tptp.uni) tptp.uni) 16.48/16.69 (declare-fun tptp.sum3 (tptp.array_int Int Int) Int) 16.48/16.69 (declare-fun tptp.elts (tptp.ty tptp.uni) tptp.uni) 16.48/16.69 (declare-fun tptp.true1 () tptp.bool1) 16.48/16.69 (declare-fun tptp.mk_array1 (tptp.ty Int tptp.uni) tptp.uni) 16.48/16.69 (declare-fun tptp.set2 (tptp.ty tptp.uni Int tptp.uni) tptp.uni) 16.48/16.69 (declare-fun tptp.tb2t1 (tptp.uni) tptp.map_int_int) 16.48/16.69 (declare-fun tptp.witness1 (tptp.ty) tptp.uni) 16.48/16.69 (define @v.0.BOUND_VARIABLE_927 () (alf.var "BOUND_VARIABLE_927" tptp.array_int)) 16.48/16.69 (define @v.0.BOUND_VARIABLE_1011 () (alf.var "BOUND_VARIABLE_1011" Int)) 16.48/16.69 (define @v.0.BOUND_VARIABLE_968 () (alf.var "BOUND_VARIABLE_968" tptp.array_int)) 16.48/16.69 (define @v.0.BOUND_VARIABLE_970 () (alf.var "BOUND_VARIABLE_970" Int)) 16.48/16.69 (define @v.0.BOUND_VARIABLE_972 () (alf.var "BOUND_VARIABLE_972" Int)) 16.48/16.69 (define @v.0.BOUND_VARIABLE_1301 () (alf.var "BOUND_VARIABLE_1301" Int)) 16.48/16.69 (define @v.4.X () (alf.var "X" tptp.array_int)) 16.48/16.69 (define @v.3.U () (alf.var "U" tptp.tuple02)) 16.48/16.69 (define @v.0.BOUND_VARIABLE_1299 () (alf.var "BOUND_VARIABLE_1299" Int)) 16.48/16.69 (define @v.0.BOUND_VARIABLE_931 () (alf.var "BOUND_VARIABLE_931" Int)) 16.48/16.69 (define @v.1.X1 () (alf.var "X1" Int)) 16.48/16.69 (define @v.0.C2 () (alf.var "C2" tptp.map_int_int)) 16.48/16.69 (define @v.2.I () (alf.var "I" tptp.map_int_int)) 16.48/16.69 (define @v.0.C () (alf.var "C" tptp.map_int_int)) 16.48/16.69 (define @v.0.A1 () (alf.var "A1" tptp.uni)) 16.48/16.69 (define @v.0.K () (alf.var "K" Int)) 16.48/16.69 (define @v.0.X1 () (alf.var "X1" tptp.uni)) 16.48/16.69 (define @v.2.X () (alf.var "X" Int)) 16.48/16.69 (define @v.0.Z () (alf.var "Z" Int)) 16.48/16.69 (define @v.0.X () (alf.var "X" tptp.uni)) 16.48/16.69 (define @v.0.N () (alf.var "N" Int)) 16.48/16.69 (define @v.0.A () (alf.var "A" tptp.ty)) 16.48/16.69 (define @v.3.X () (alf.var "X" tptp.bool1)) 16.48/16.69 (define @v.0.BOUND_VARIABLE_929 () (alf.var "BOUND_VARIABLE_929" Int)) 16.48/16.69 (define @v.0.I () (alf.var "I" Int)) 16.48/16.69 (define @v.0.U () (alf.var "U" tptp.bool1)) 16.48/16.69 (define @v.0.H () (alf.var "H" Int)) 16.48/16.69 (define @v.1.Z () (alf.var "Z" tptp.uni)) 16.48/16.69 (define @v.1.X () (alf.var "X" tptp.map_int_int)) 16.48/16.69 (define @v.1.M () (alf.var "M" tptp.uni)) 16.48/16.69 (define @v.0.M () (alf.var "M" Int)) 16.48/16.69 (define @v.0.X2 () (alf.var "X2" tptp.uni)) 16.48/16.69 (define @v.0.L () (alf.var "L" Int)) 16.48/16.69 (define @v.0.A2 () (alf.var "A2" tptp.uni)) 16.48/16.69 (define @v.0.C1 () (alf.var "C1" tptp.map_int_int)) 16.48/16.69 (define @v.2.A () (alf.var "A" Int)) 16.48/16.69 (define @v.0.BOUND_VARIABLE_974 () (alf.var "BOUND_VARIABLE_974" Int)) 16.48/16.69 (define @v.1.U () (alf.var "U" tptp.uni)) 16.48/16.69 (define @v.0.BOUND_VARIABLE_1046 () (alf.var "BOUND_VARIABLE_1046" Int)) 16.48/16.69 (define @v.0.V () (alf.var "V" tptp.uni)) 16.48/16.69 (define @v.0.BOUND_VARIABLE_933 () (alf.var "BOUND_VARIABLE_933" Int)) 16.48/16.69 (define @v.0.J () (alf.var "J" Int)) 16.48/16.69 (define @v.0.B1 () (alf.var "B1" tptp.uni)) 16.48/16.69 (define @v.1.J () (alf.var "J" tptp.uni)) 16.48/16.69 (define @v.0.Z1 () (alf.var "Z1" tptp.uni)) 16.48/16.69 (define @v.1.A () (alf.var "A" tptp.array_int)) 16.48/16.69 (define @v.2.U () (alf.var "U" Int)) 16.48/16.69 (define @v.0.U1 () (alf.var "U1" tptp.uni)) 16.48/16.69 (define @v.0.M1 () (alf.var "M1" Int)) 16.48/16.69 (define @v.1.A1 () (alf.var "A1" tptp.map_int_int)) 16.48/16.69 (define @v.0.B () (alf.var "B" tptp.ty)) 16.48/16.69 (define @v.0.S () (alf.var "S" Int)) 16.48/16.69 (define @v.0.S1 () (alf.var "S1" Int)) 16.48/16.69 (define @v.0.Y () (alf.var "Y" Int)) 16.48/16.69 (define @v.1.I () (alf.var "I" tptp.array_int)) 16.48/16.69 (define @t1 () (tptp.sum2 @v.0.C @v.0.I @v.0.J)) 16.48/16.69 (define @t2 () (<= @v.0.I @v.0.K)) 16.48/16.69 (define @t3 () (@list @v.1.J)) 16.48/16.69 (define @t4 () (@list @v.0.A @v.0.X)) 16.48/16.69 (define @t5 () (tptp.is_max1 @v.1.A @v.0.L @v.0.H @v.0.M)) 16.48/16.69 (define @t6 () (and (<= @v.0.H @v.0.L) (= @v.0.M 0))) 16.48/16.69 (define @t7 () (< @v.0.K @v.0.H)) 16.48/16.69 (define @t8 () (tptp.t2tb2 @v.1.A)) 16.48/16.69 (define @t9 () (tptp.tb2t (tptp.get2 tptp.int @t8 @v.0.K))) 16.48/16.69 (define @t10 () (= @v.0.M @t9)) 16.48/16.69 (define @t11 () (<= @v.0.L @v.0.K)) 16.48/16.69 (define @t12 () (@list @v.0.K)) 16.48/16.69 (define @t13 () (< @v.0.L @v.0.H)) 16.48/16.69 (define @t14 () (<= @t9 @v.0.M)) 16.48/16.69 (define @t15 () (forall (@list @v.1.A @v.0.L @v.0.H @v.0.M) (and (=> @t5 (and (or (and @t13 (exists @t12 (and @t7 @t10 @t11))) @t6) (forall @t12 (=> (and @t7 @t11) @t14)))) (=> (and (forall @t12 (=> (and @t11 @t7) @t14)) (or (and @t13 (exists @t12 (and @t11 @t10 @t7))) @t6)) @t5)))) 16.48/16.69 (define @t16 () (tptp.map tptp.int tptp.int)) 16.48/16.69 (define @t17 () (tptp.array @v.0.A)) 16.48/16.69 (define @t18 () (@list @v.0.A @v.2.X @v.0.X1)) 16.48/16.69 (define @t19 () (tptp.sort1 @v.0.B @v.0.B1)) 16.48/16.69 (define @t20 () (tptp.map tptp.int @v.0.A)) 16.48/16.69 (define @t21 () (tptp.get @v.0.B @v.0.A (tptp.set @v.0.B @v.0.A @v.1.M @v.0.A1 @v.0.B1) @v.0.A2)) 16.48/16.69 (define @t22 () (= @v.0.A1 @v.0.A2)) 16.48/16.69 (define @t23 () (@list @v.0.A @v.1.U)) 16.48/16.69 (define @t24 () (tptp.t2tb @v.0.I)) 16.48/16.69 (define @t25 () (tptp.elts @v.0.A @v.0.A1)) 16.48/16.69 (define @t26 () (tptp.ref @v.0.A)) 16.48/16.69 (define @t27 () (@list @v.0.C @v.0.I @v.0.J)) 16.48/16.69 (define @t28 () (@list @v.0.A @v.1.Z @v.0.Z1)) 16.48/16.69 (define @t29 () (tptp.map @v.0.A @v.0.B)) 16.48/16.69 (define @t30 () (tptp.mk_array1 @v.0.A @v.2.U @v.0.U1)) 16.48/16.69 (define @t31 () (@list @v.0.A @v.2.U @v.0.U1)) 16.48/16.69 (define @t32 () (+ @v.0.I 1)) 16.48/16.69 (define @t33 () (tptp.t2tb1 @v.1.A1)) 16.48/16.69 (define @t34 () (tptp.tb2t2 (tptp.mk_array1 tptp.int @v.2.A @t33))) 16.48/16.69 (define @t35 () (tptp.tb2t (tptp.get tptp.int tptp.int @t33 @t24))) 16.48/16.69 (define @t36 () (<= 0 @v.0.I)) 16.48/16.69 (define @t37 () (and @t36 (< @v.0.I @v.2.A))) 16.48/16.69 (define @t38 () (- @v.0.N 1)) 16.48/16.69 (define @t39 () (@list @v.0.I)) 16.48/16.69 (define @t40 () (not (forall (@list @v.2.A @v.1.A1 @v.0.N) (=> (and (<= 0 @v.2.A) (= @v.0.N @v.2.A) (forall @t39 (=> (and @t36 (< @v.0.I @v.0.N)) (<= 0 @t35)))) (=> (<= 0 @t38) (forall (@list @v.0.M @v.0.S @v.0.I) (=> (and (<= @v.0.I @t38) @t36) (=> (and (<= @v.0.S (* @v.0.I @v.0.M)) (tptp.is_max1 @t34 0 @v.0.I @v.0.M) (= @v.0.S (tptp.sum2 @v.1.A1 0 @v.0.I))) (=> @t37 (=> (< @v.0.M @t35) (=> @t37 (forall (@list @v.0.M1) (=> (= @v.0.M1 @t35) (=> @t37 (forall (@list @v.0.S1) (=> (= @v.0.S1 (+ @v.0.S @t35)) (tptp.is_max1 @t34 0 @t32 @v.0.M1))))))))))))))))) 16.48/16.69 (define @t41 () (tptp.t2tb @v.0.K)) 16.48/16.69 (define @t42 () (- @v.0.J 1)) 16.48/16.69 (define @t43 () (tptp.t2tb1 @v.0.C)) 16.48/16.69 (define @t44 () (< @v.0.I @v.0.J)) 16.48/16.69 (define @t45 () (tptp.elts @v.0.A @t30)) 16.48/16.69 (define @t46 () (tptp.sort1 @t20 @v.0.U1)) 16.48/16.69 (define @t47 () (forall @t31 (=> @t46 (= @t45 @v.0.U1)))) 16.48/16.69 (define @t48 () (tptp.t2tb2 (tptp.tb2t2 @v.1.J))) 16.48/16.69 (define @t49 () (forall @t3 (= @t48 @v.1.J))) 16.48/16.69 (define @t50 () (tptp.tb2t (tptp.get tptp.int tptp.int @t33 (tptp.t2tb @v.0.BOUND_VARIABLE_1301)))) 16.48/16.69 (define @t51 () (tptp.tb2t2 (tptp.mk_array1 tptp.int @v.0.N @t33))) 16.48/16.69 (define @t52 () (not (>= @v.0.I 0))) 16.48/16.69 (define @t53 () (or (not (>= @v.0.N 0)) (not (forall @t39 (or @t52 (>= (+ @v.0.I (* -1 @v.0.N)) 0) (>= @t35 0)))) (not (>= @v.0.N 1)) (not (>= (+ @v.0.N (* -1 @v.0.BOUND_VARIABLE_1301)) 1)) (not (>= @v.0.BOUND_VARIABLE_1301 0)) (>= (+ (tptp.sum2 @v.1.A1 0 @v.0.BOUND_VARIABLE_1301) (* -1 (* @v.0.BOUND_VARIABLE_1299 @v.0.BOUND_VARIABLE_1301))) 1) (not (tptp.is_max1 @t51 0 @v.0.BOUND_VARIABLE_1301 @v.0.BOUND_VARIABLE_1299)) (>= (+ @v.0.BOUND_VARIABLE_1299 (* -1 @t50)) 0) (tptp.is_max1 @t51 0 (+ 1 @v.0.BOUND_VARIABLE_1301) @t50))) 16.48/16.69 (define @t54 () (@list @v.1.A1 @v.0.N @v.0.BOUND_VARIABLE_1301 @v.0.BOUND_VARIABLE_1299)) 16.48/16.69 (define @t55 () (forall @t54 @t53)) 16.48/16.69 (define @t56 () (not @t55)) 16.48/16.69 (define @t57 () (exists @t54 (not @t53))) 16.48/16.69 (define @t58 () (@quantifiers_skolemize @t57 @v.0.BOUND_VARIABLE_1301)) 16.48/16.69 (define @t59 () (tptp.t2tb @t58)) 16.48/16.69 (define @t60 () (@quantifiers_skolemize @t57 @v.1.A1)) 16.48/16.69 (define @t61 () (tptp.t2tb1 @t60)) 16.48/16.69 (define @t62 () (tptp.tb2t (tptp.get tptp.int tptp.int @t61 @t59))) 16.48/16.69 (define @t63 () (+ 1 @t58)) 16.48/16.69 (define @t64 () (@quantifiers_skolemize @t57 @v.0.N)) 16.48/16.69 (define @t65 () (tptp.mk_array1 tptp.int @t64 @t61)) 16.48/16.69 (define @t66 () (tptp.tb2t2 @t65)) 16.48/16.69 (define @t67 () (tptp.is_max1 @t66 0 @t63 @t62)) 16.48/16.69 (define @t68 () (* -1 @t62)) 16.48/16.69 (define @t69 () (@quantifiers_skolemize @t57 @v.0.BOUND_VARIABLE_1299)) 16.48/16.69 (define @t70 () (+ @t69 @t68)) 16.48/16.69 (define @t71 () (>= @t70 0)) 16.48/16.69 (define @t72 () (tptp.is_max1 @t66 0 @t58 @t69)) 16.48/16.69 (define @t73 () (not @t72)) 16.48/16.69 (define @t74 () (tptp.sum2 @t60 0 @t58)) 16.48/16.69 (define @t75 () (>= @t58 0)) 16.48/16.69 (define @t76 () (not @t75)) 16.48/16.69 (define @t77 () (* -1 @t58)) 16.48/16.69 (define @t78 () (not (>= (+ @t64 @t77) 1))) 16.48/16.69 (define @t79 () (not (>= @t64 1))) 16.48/16.69 (define @t80 () (not (forall @t39 (or @t52 (>= (+ @v.0.I (* -1 @t64)) 0) (>= (tptp.tb2t (tptp.get tptp.int tptp.int @t61 @t24)) 0))))) 16.48/16.69 (define @t81 () (not (>= @t64 0))) 16.48/16.69 (define @t82 () (or @t81 @t80 @t79 @t78 @t76 (>= (+ @t74 (* -1 (* @t58 @t69))) 1) @t73 @t71 @t67)) 16.48/16.69 (define @t83 () (not @t82)) 16.48/16.69 (define @t84 () (not (or @t81 @t80 @t79 @t78 @t76 (>= (+ @t74 (* -1 (* @t69 @t58))) 1) @t73 @t71 @t67))) 16.48/16.69 (define @t85 () (not @t71)) 16.48/16.69 (define @t86 () (* -1 @v.0.BOUND_VARIABLE_972)) 16.48/16.69 (define @t87 () (>= (+ @v.0.BOUND_VARIABLE_970 @t86) 0)) 16.48/16.69 (define @t88 () (* -1 @v.0.BOUND_VARIABLE_1046)) 16.48/16.69 (define @t89 () (tptp.t2tb2 @v.0.BOUND_VARIABLE_968)) 16.48/16.69 (define @t90 () (forall (@list @v.0.BOUND_VARIABLE_968 @v.0.BOUND_VARIABLE_970 @v.0.BOUND_VARIABLE_972 @v.0.BOUND_VARIABLE_974 @v.0.BOUND_VARIABLE_1046) (or (not (forall @t12 (or (not (>= (+ @v.0.K (* -1 @v.0.BOUND_VARIABLE_970)) 0)) (>= (+ @v.0.K @t86) 0) (>= (+ @v.0.BOUND_VARIABLE_974 (* -1 (tptp.tb2t (tptp.get2 tptp.int @t89 @v.0.K)))) 0)))) (and (or @t87 (>= (+ @v.0.BOUND_VARIABLE_970 @t88) 1) (not (= @v.0.BOUND_VARIABLE_974 (tptp.tb2t (tptp.get2 tptp.int @t89 @v.0.BOUND_VARIABLE_1046)))) (not (>= (+ @v.0.BOUND_VARIABLE_972 @t88) 1))) (or (not @t87) (not (= @v.0.BOUND_VARIABLE_974 0)))) (tptp.is_max1 @v.0.BOUND_VARIABLE_968 @v.0.BOUND_VARIABLE_970 @v.0.BOUND_VARIABLE_972 @v.0.BOUND_VARIABLE_974)))) 16.48/16.69 (define @t91 () (tptp.t2tb2 @v.0.BOUND_VARIABLE_927)) 16.48/16.69 (define @t92 () (* -1 @v.0.BOUND_VARIABLE_1011)) 16.48/16.69 (define @t93 () (* -1 @v.0.BOUND_VARIABLE_931)) 16.48/16.69 (define @t94 () (>= (+ @v.0.BOUND_VARIABLE_929 @t93) 0)) 16.48/16.69 (define @t95 () (forall (@list @v.0.BOUND_VARIABLE_927 @v.0.BOUND_VARIABLE_929 @v.0.BOUND_VARIABLE_931 @v.0.BOUND_VARIABLE_933 @v.0.BOUND_VARIABLE_1011) (or (not (tptp.is_max1 @v.0.BOUND_VARIABLE_927 @v.0.BOUND_VARIABLE_929 @v.0.BOUND_VARIABLE_931 @v.0.BOUND_VARIABLE_933)) (and (or (and (not @t94) (not (forall @t12 (or (>= (+ @v.0.K @t93) 0) (not (= @v.0.BOUND_VARIABLE_933 (tptp.tb2t (tptp.get2 tptp.int @t91 @v.0.K)))) (not (>= (+ @v.0.K (* -1 @v.0.BOUND_VARIABLE_929)) 0)))))) (and @t94 (= @v.0.BOUND_VARIABLE_933 0))) (or (not (>= (+ @v.0.BOUND_VARIABLE_931 @t92) 1)) (>= (+ @v.0.BOUND_VARIABLE_929 @t92) 1) (>= (+ @v.0.BOUND_VARIABLE_933 (* -1 (tptp.tb2t (tptp.get2 tptp.int @t91 @v.0.BOUND_VARIABLE_1011)))) 0)))))) 16.48/16.69 (define @t96 () (not (= @t62 0))) 16.48/16.69 (define @t97 () (* -1 @t63)) 16.48/16.69 (define @t98 () (>= (+ 0 @t97) 0)) 16.48/16.69 (define @t99 () (tptp.t2tb2 @t66)) 16.48/16.69 (define @t100 () (not (= @t62 (tptp.tb2t (tptp.get2 tptp.int @t99 @t58))))) 16.48/16.69 (define @t101 () (+ 0 @t77)) 16.48/16.69 (define @t102 () (tptp.tb2t (tptp.get2 tptp.int @t99 @v.0.K))) 16.48/16.69 (define @t103 () (>= (+ @t62 (* -1 @t102)) 0)) 16.48/16.69 (define @t104 () (* -1 0)) 16.48/16.69 (define @t105 () (not (>= (+ @v.0.K @t104) 0))) 16.48/16.69 (define @t106 () (or @t76 @t100)) 16.48/16.69 (define @t107 () (and @t106 (or @t75 @t96))) 16.48/16.69 (define @t108 () (+ @v.0.K @t77)) 16.48/16.69 (define @t109 () (not (>= @v.0.K 0))) 16.48/16.69 (define @t110 () (or @t109 (>= @t108 1) @t103)) 16.48/16.69 (define @t111 () (forall @t12 @t110)) 16.48/16.69 (define @t112 () (not @t111)) 16.48/16.69 (define @t113 () (or @t112 @t107 @t67)) 16.48/16.69 (define @t114 () (tptp.elts tptp.int @t65)) 16.48/16.69 (define @t115 () (= @t61 @t114)) 16.48/16.69 (define @t116 () (not (tptp.sort1 @t16 @t61))) 16.48/16.69 (define @t117 () (or @t116 @t115)) 16.48/16.69 (define @t118 () (not @t106)) 16.48/16.69 (define @t119 () (not @t107)) 16.48/16.69 (define @t120 () (@quantifiers_skolemize (exists @t12 (not @t110)) @v.0.K)) 16.48/16.69 (define @t121 () (tptp.tb2t (tptp.get2 tptp.int @t99 @t120))) 16.48/16.69 (define @t122 () (* -1 @t121)) 16.48/16.69 (define @t123 () (+ @t62 @t122)) 16.48/16.69 (define @t124 () (>= @t123 0)) 16.48/16.69 (define @t125 () (* -1 @t120)) 16.48/16.69 (define @t126 () (+ @t58 @t125)) 16.48/16.69 (define @t127 () (>= @t126 0)) 16.48/16.69 (define @t128 () (not @t127)) 16.48/16.69 (define @t129 () (>= @t120 0)) 16.48/16.69 (define @t130 () (not @t129)) 16.48/16.69 (define @t131 () (or @t130 @t128 @t124)) 16.48/16.69 (define @t132 () (not @t131)) 16.48/16.69 (define @t133 () (not (or @t130 (>= (+ @t120 @t77) 1) @t124))) 16.48/16.69 (define @t134 () (not @t124)) 16.48/16.69 (define @t135 () (+ @t69 @t122)) 16.48/16.69 (define @t136 () (>= @t135 0)) 16.48/16.69 (define @t137 () (>= @t126 1)) 16.48/16.69 (define @t138 () (not @t137)) 16.48/16.69 (define @t139 () (= @t69 0)) 16.48/16.69 (define @t140 () (>= @t101 0)) 16.48/16.69 (define @t141 () (not (= @t69 @t102))) 16.48/16.69 (define @t142 () (>= @t108 0)) 16.48/16.69 (define @t143 () (or @t138 @t130 @t136)) 16.48/16.69 (define @t144 () (>= @t58 1)) 16.48/16.69 (define @t145 () (and (or (and @t144 (not (forall @t12 (or @t142 @t141 @t109)))) (and (not @t144) @t139)) @t143)) 16.48/16.69 (define @t146 () (or @t73 @t145)) 16.48/16.69 (define @t147 () (= @t58 @t120)) 16.48/16.69 (define @t148 () (not @t147)) 16.48/16.69 (define @t149 () (= (tptp.get2 tptp.int @t65 @t58) (tptp.get tptp.int tptp.int @t114 @t59))) 16.48/16.69 (define @t150 () (not @t149)) 16.48/16.69 (define @t151 () (= @t65 @t99)) 16.48/16.69 (define @t152 () (not @t151)) 16.48/16.69 (define @t153 () (not @t115)) 16.48/16.69 (define @t154 () (= @t62 @t121)) 16.48/16.69 (define @t155 () (not @t154)) 16.48/16.69 (define @t156 () (and @t155 @t154)) 16.48/16.69 (define @t157 () (= @t126 0)) 16.48/16.69 (define @t158 () (and @t127 @t138 @t148)) 16.48/16.69 (define @t159 () (< @t70 0)) 16.48/16.69 (define @t160 () (and @t136 @t134 @t85)) 16.48/16.69 (assume @p1 (forall (@list @v.0.C @v.0.I @v.0.K @v.0.J) (=> (and (<= @v.0.K @v.0.J) @t2) (= @t1 (+ (tptp.sum2 @v.0.C @v.0.I @v.0.K) (tptp.sum2 @v.0.C @v.0.K @v.0.J)))))) 16.48/16.69 (assume @p2 (forall @t3 (= (tptp.t2tb (tptp.tb2t @v.1.J)) @v.1.J))) 16.48/16.69 (assume @p3 (forall @t4 (tptp.sort1 @v.0.A (tptp.contents @v.0.A @v.0.X)))) 16.48/16.69 (assume @p4 @t15) 16.48/16.69 (assume @p5 (forall (@list @v.1.X) (tptp.sort1 @t16 (tptp.t2tb1 @v.1.X)))) 16.48/16.69 (assume @p6 (forall (@list @v.2.X) (tptp.sort1 tptp.int (tptp.t2tb @v.2.X)))) 16.48/16.69 (assume @p7 (forall @t18 (tptp.sort1 @t17 (tptp.make1 @v.0.A @v.2.X @v.0.X1)))) 16.48/16.69 (assume @p8 (forall (@list @v.0.A @v.0.B @v.0.B1 @v.0.A1) (=> @t19 (= (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)))) 16.48/16.69 (assume @p9 (forall @t4 (tptp.sort1 @t20 (tptp.elts @v.0.A @v.0.X)))) 16.48/16.69 (assume @p10 (forall (@list @v.2.X @v.0.Y @v.0.Z) (=> (<= @v.2.X @v.0.Y) (=> (<= 0 @v.0.Z) (<= (* @v.2.X @v.0.Z) (* @v.0.Y @v.0.Z)))))) 16.48/16.69 (assume @p11 (forall (@list @v.0.A @v.0.B @v.1.M @v.0.A1 @v.0.A2) (=> (tptp.sort1 @v.0.A @v.0.A1) (=> (tptp.sort1 @v.0.A @v.0.A2) (forall (@list @v.0.B1) (=> (not @t22) (= @t21 (tptp.get @v.0.B @v.0.A @v.1.M @v.0.A2)))))))) 16.48/16.69 (assume @p12 (forall (@list @v.0.U) (or (= @v.0.U tptp.false1) (= @v.0.U tptp.true1)))) 16.48/16.69 (assume @p13 (forall @t23 (=> (tptp.sort1 @v.0.A @v.1.U) (= (tptp.contents @v.0.A (tptp.mk_ref @v.0.A @v.1.U)) @v.1.U)))) 16.48/16.69 (assume @p14 (forall (@list @v.0.A @v.0.A1 @v.0.I @v.0.V) (= (tptp.set2 @v.0.A @v.0.A1 @v.0.I @v.0.V) (tptp.mk_array1 @v.0.A (tptp.length1 @v.0.A @v.0.A1) (tptp.set @v.0.A tptp.int @t25 @t24 @v.0.V))))) 16.48/16.69 (assume @p15 (forall (@list @v.0.A @v.0.B @v.0.X @v.0.X1) (tptp.sort1 @v.0.B (tptp.get @v.0.B @v.0.A @v.0.X @v.0.X1)))) 16.48/16.69 (assume @p16 (forall (@list @v.1.A @v.0.L @v.0.H) (= (tptp.sum3 @v.1.A @v.0.L @v.0.H) (tptp.sum2 (tptp.tb2t1 (tptp.elts tptp.int @t8)) @v.0.L @v.0.H)))) 16.48/16.69 (assume @p17 (forall (@list @v.0.A @v.3.X @v.0.X1 @v.0.X2) (tptp.sort1 @v.0.A (tptp.match_bool1 @v.0.A @v.3.X @v.0.X1 @v.0.X2)))) 16.48/16.69 (assume @p18 (forall @t4 (tptp.sort1 @t26 (tptp.mk_ref @v.0.A @v.0.X)))) 16.48/16.69 (assume @p19 (forall @t18 (tptp.sort1 @t17 (tptp.mk_array1 @v.0.A @v.2.X @v.0.X1)))) 16.48/16.70 (assume @p20 (forall @t27 (=> (<= @v.0.J @v.0.I) (= @t1 0)))) 16.48/16.70 (assume @p21 (forall @t28 (=> (tptp.sort1 @v.0.A @v.0.Z1) (= (tptp.match_bool1 @v.0.A tptp.false1 @v.1.Z @v.0.Z1) @v.0.Z1)))) 16.48/16.70 (assume @p22 (forall @t3 (= (tptp.t2tb1 (tptp.tb2t1 @v.1.J)) @v.1.J))) 16.48/16.70 (assume @p23 (forall (@list @v.0.A @v.0.B @v.0.X @v.0.X1 @v.0.X2) (tptp.sort1 @t29 (tptp.set @v.0.B @v.0.A @v.0.X @v.0.X1 @v.0.X2)))) 16.48/16.70 (assume @p24 (forall @t31 (= (tptp.length1 @v.0.A @t30) @v.2.U))) 16.48/16.70 (assume @p25 (not (= tptp.true1 tptp.false1))) 16.48/16.70 (assume @p26 @t40) 16.48/16.70 (assume @p27 (forall @t23 (=> (tptp.sort1 @t26 @v.1.U) (= @v.1.U (tptp.mk_ref @v.0.A (tptp.contents @v.0.A @v.1.U)))))) 16.48/16.70 (assume @p28 (forall (@list @v.1.I) (= (tptp.tb2t2 (tptp.t2tb2 @v.1.I)) @v.1.I))) 16.48/16.70 (assume @p29 (forall (@list @v.0.A @v.0.A1 @v.0.I) (= (tptp.get2 @v.0.A @v.0.A1 @v.0.I) (tptp.get @v.0.A tptp.int @t25 @t24)))) 16.48/16.70 (assume @p30 (forall (@list @v.0.A @v.0.N @v.0.V) (= (tptp.make1 @v.0.A @v.0.N @v.0.V) (tptp.mk_array1 @v.0.A @v.0.N (tptp.const @v.0.A tptp.int @v.0.V))))) 16.48/16.70 (assume @p31 (forall (@list @v.0.A) (tptp.sort1 @v.0.A (tptp.witness1 @v.0.A)))) 16.48/16.70 (assume @p32 (forall @t39 (= (tptp.tb2t @t24) @v.0.I))) 16.48/16.70 (assume @p33 (forall (@list @v.0.C1 @v.0.C2 @v.0.I @v.0.J) (=> (forall @t12 (=> (and @t2 (< @v.0.K @v.0.J)) (= (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 @v.0.C1) @t41)) (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 @v.0.C2) @t41))))) (= (tptp.sum2 @v.0.C1 @v.0.I @v.0.J) (tptp.sum2 @v.0.C2 @v.0.I @v.0.J))))) 16.48/16.70 (assume @p34 (forall @t23 (= @v.1.U (tptp.mk_array1 @v.0.A (tptp.length1 @v.0.A @v.1.U) (tptp.elts @v.0.A @v.1.U))))) 16.48/16.70 (assume @p35 (forall @t27 (=> @t44 (= @t1 (+ (tptp.sum2 @v.0.C @v.0.I @t42) (tptp.tb2t (tptp.get tptp.int tptp.int @t43 (tptp.t2tb @t42)))))))) 16.48/16.70 (assume @p36 (forall @t27 (=> @t44 (= @t1 (+ (tptp.tb2t (tptp.get tptp.int tptp.int @t43 @t24)) (tptp.sum2 @v.0.C @t32 @v.0.J)))))) 16.48/16.70 (assume @p37 (forall (@list @v.0.A @v.0.B @v.1.M @v.0.A1 @v.0.A2 @v.0.B1) (=> @t19 (=> @t22 (= @t21 @v.0.B1))))) 16.48/16.70 (assume @p38 (forall (@list @v.0.A @v.0.X @v.1.X1) (tptp.sort1 @v.0.A (tptp.get2 @v.0.A @v.0.X @v.1.X1)))) 16.48/16.70 (assume @p39 @t47) 16.48/16.70 (assume @p40 (forall (@list @v.2.I) (= (tptp.tb2t1 (tptp.t2tb1 @v.2.I)) @v.2.I))) 16.48/16.70 (assume @p41 (forall (@list @v.0.A @v.0.X @v.1.X1 @v.0.X2) (tptp.sort1 @t17 (tptp.set2 @v.0.A @v.0.X @v.1.X1 @v.0.X2)))) 16.48/16.70 (assume @p42 (forall @t28 (=> (tptp.sort1 @v.0.A @v.1.Z) (= (tptp.match_bool1 @v.0.A tptp.true1 @v.1.Z @v.0.Z1) @v.1.Z)))) 16.48/16.70 (assume @p43 (forall (@list @v.0.A @v.0.B @v.0.X) (tptp.sort1 @t29 (tptp.const @v.0.B @v.0.A @v.0.X)))) 16.48/16.70 (assume @p44 @t49) 16.48/16.70 (assume @p45 (forall (@list @v.3.U) (= @v.3.U tptp.tuple03))) 16.48/16.70 (assume @p46 (forall (@list @v.4.X) (tptp.sort1 (tptp.array tptp.int) (tptp.t2tb2 @v.4.X)))) 16.48/16.70 (assume @p47 true) 16.48/16.70 ; WARNING: add trust step for MACRO_SR_EQ_INTRO 16.48/16.70 ; trust MACRO_SR_EQ_INTRO 16.48/16.70 (step @p48 :rule trust :premises () :args ((= @t40 @t56))) 16.48/16.70 (step @p49 :rule eq_resolve :premises (@p26 @p48)) 16.48/16.70 (step @p50 :rule refl :args (@t83)) 16.48/16.70 ; WARNING: add trust step for MACRO_SR_PRED_INTRO 16.48/16.70 ; trust MACRO_SR_PRED_INTRO 16.48/16.70 (step @p51 :rule trust :premises () :args ((= (not @t56) @t55))) 16.48/16.70 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (or)) 16.48/16.70 ; WARNING: add trust step for MACRO_REWRITE 16.48/16.70 ; trust MACRO_REWRITE 16.48/16.70 (step @p53 :rule trust :premises () :args ((= (=> @t56 @t84) (=> @t56 @t83)))) 16.48/16.70 (assume-push @p54 @t56) 16.48/16.70 (step @p55 :rule skolemize :premises (@p49)) 16.48/16.70 (step-pop @p285 :rule scope :premises (@p55)) 16.48/16.70 (step @p56 :rule process_scope :premises (@p285) :args (@t84)) 16.48/16.70 (step @p58 :rule eq_resolve :premises (@p56 @p53)) 16.48/16.70 (step @p59 :rule implies_elim :premises (@p58)) 16.48/16.70 (step @p60 :rule eq_resolve :premises (@p59 @p52)) 16.48/16.70 ; WARNING: add trust step for MACRO_RESOLUTION_TRUST 16.48/16.70 ; trust MACRO_RESOLUTION_TRUST 16.48/16.70 (step @p61 :rule trust :premises (@p60 @p49) :args (@t83)) 16.48/16.70 (step @p62 :rule cnf_or_neg :args (@t82 7)) 16.48/16.70 ; trust MACRO_RESOLUTION_TRUST 16.48/16.70 (step @p63 :rule trust :premises (@p62 @p61) :args (@t85)) 16.48/16.70 ; trust MACRO_SR_EQ_INTRO 16.48/16.70 (step @p64 :rule trust :premises () :args ((= @t15 (and @t95 @t90)))) 16.48/16.70 (step @p65 :rule eq_resolve :premises (@p4 @p64)) 16.48/16.70 (step @p66 :rule and_elim :premises (@p65) :args (1)) 16.48/16.70 (assume-push @p67 @t90) 16.48/16.70 (step @p68 :rule instantiate :premises (@p66) :args ((@list @t66 0 @t63 @t62 @t58))) 16.48/16.70 (step-pop @p286 :rule scope :premises (@p68)) 16.48/16.70 (step @p69 :rule process_scope :premises (@p286) :args ((or (not (forall @t12 (or @t105 (>= (+ @v.0.K @t97) 0) @t103))) (and (or @t98 (>= @t101 1) @t100 (not (>= (+ @t63 @t77) 1))) (or (not @t98) @t96)) @t67))) 16.48/16.70 ; WARNING: add trust step for MACRO_SR_PRED_ELIM 16.48/16.70 ; trust MACRO_SR_PRED_ELIM 16.48/16.70 (step @p71 :rule trust :premises (@p69) :args ((=> @t90 @t113))) 16.48/16.70 (step @p72 :rule implies_elim :premises (@p71)) 16.48/16.70 ; trust MACRO_RESOLUTION_TRUST 16.48/16.70 (step @p73 :rule trust :premises (@p72 @p66) :args (@t113)) 16.48/16.70 (step @p74 :rule refl :args (@t58)) 16.48/16.70 ; trust MACRO_SR_EQ_INTRO 16.48/16.70 (step @p75 :rule trust :premises () :args ((= @t49 (forall @t3 (= @v.1.J @t48))))) 16.48/16.70 (step @p76 :rule eq_resolve :premises (@p44 @p75)) 16.48/16.70 (step @p77 :rule instantiate :premises (@p76) :args ((@list @t65))) 16.48/16.70 (step @p78 :rule refl :args (tptp.int)) 16.48/16.70 (step @p79 :rule cong :premises (@p78 @p77 @p74) :args (tptp.get2)) 16.48/16.70 (step @p80 :rule instantiate :premises (@p29) :args ((@list tptp.int @t65 @t58))) 16.48/16.70 (step @p81 :rule symm :premises (@p80)) 16.48/16.70 (step @p82 :rule refl :args (@t59)) 16.48/16.70 ; trust MACRO_SR_EQ_INTRO 16.48/16.70 (step @p83 :rule trust :premises () :args ((= @t47 (forall @t31 (or (not @t46) (= @v.0.U1 @t45)))))) 16.48/16.70 (step @p84 :rule eq_resolve :premises (@p39 @p83)) 16.48/16.70 (step @p85 :rule instantiate :premises (@p84) :args ((@list tptp.int @t64 @t61))) 16.48/16.70 (step @p86 :rule instantiate :premises (@p5) :args ((@list @t60))) 16.48/16.70 (step @p87 :rule cnf_or_pos :args (@t117)) 16.48/16.70 (step @p88 :rule reordering :premises (@p87) :args ((or @t116 @t115 (not @t117)))) 16.48/16.70 ; trust MACRO_RESOLUTION_TRUST 16.48/16.70 (step @p89 :rule trust :premises (@p88 @p86 @p85) :args (@t115)) 16.48/16.70 (step @p90 :rule cong :premises (@p78 @p78 @p89 @p82) :args (tptp.get)) 16.48/16.70 (step @p91 :rule trans :premises (@p90 @p81 @p79)) 16.48/16.70 (step @p92 :rule cong :premises (@p91) :args (tptp.tb2t)) 16.48/16.70 ; trust MACRO_SR_PRED_INTRO 16.48/16.70 (step @p93 :rule trust :premises () :args ((= (not @t76) @t75))) 16.48/16.70 (step @p94 :rule refl :args (@t82)) 16.48/16.70 (step @p95 :rule nary_cong :premises (@p94 @p93) :args (or)) 16.48/16.70 (step @p96 :rule cnf_or_neg :args (@t82 4)) 16.48/16.70 (step @p97 :rule eq_resolve :premises (@p96 @p95)) 16.48/16.70 (step @p98 :rule reordering :premises (@p97) :args ((or @t75 @t82))) 16.48/16.70 ; trust MACRO_RESOLUTION_TRUST 16.48/16.70 (step @p99 :rule trust :premises (@p98 @p61) :args (@t75)) 16.48/16.70 (step @p100 :rule cnf_or_pos :args (@t106)) 16.48/16.70 (step @p101 :rule reordering :premises (@p100) :args ((or @t76 @t100 @t118))) 16.48/16.70 ; trust MACRO_RESOLUTION_TRUST 16.48/16.70 (step @p102 :rule trust :premises (@p101 @p99 @p92) :args (@t118)) 16.48/16.70 (step @p103 :rule cnf_and_pos :args (@t107 0)) 16.48/16.70 (step @p104 :rule reordering :premises (@p103) :args ((or @t106 @t119))) 16.48/16.70 ; trust MACRO_RESOLUTION_TRUST 16.48/16.70 (step @p105 :rule trust :premises (@p104 @p102) :args (@t119)) 16.48/16.70 (step @p106 :rule cnf_or_neg :args (@t82 8)) 16.48/16.70 ; trust MACRO_RESOLUTION_TRUST 16.48/16.70 (step @p107 :rule trust :premises (@p106 @p61) :args ((not @t67))) 16.48/16.70 (step @p108 :rule cnf_or_pos :args (@t113)) 16.48/16.70 (step @p109 :rule reordering :premises (@p108) :args ((or @t67 @t112 @t107 (not @t113)))) 16.48/16.70 ; trust MACRO_RESOLUTION_TRUST 16.48/16.70 (step @p110 :rule trust :premises (@p109 @p107 @p105 @p73) :args (@t112)) 16.48/16.70 (step @p111 :rule refl :args (@t132)) 16.48/16.70 ; trust MACRO_SR_PRED_INTRO 16.48/16.70 (step @p112 :rule trust :premises () :args ((= (not @t112) @t111))) 16.48/16.70 (step @p113 :rule nary_cong :premises (@p112 @p111) :args (or)) 16.48/16.70 ; trust MACRO_REWRITE 16.48/16.70 (step @p114 :rule trust :premises () :args ((= (=> @t112 @t133) (=> @t112 @t132)))) 16.48/16.70 (assume-push @p115 @t112) 16.48/16.70 (step @p116 :rule skolemize :premises (@p110)) 16.48/16.70 (step-pop @p287 :rule scope :premises (@p116)) 16.48/16.70 (step @p117 :rule process_scope :premises (@p287) :args (@t133)) 16.48/16.70 (step @p119 :rule eq_resolve :premises (@p117 @p114)) 16.48/16.70 (step @p120 :rule implies_elim :premises (@p119)) 16.48/16.70 (step @p121 :rule eq_resolve :premises (@p120 @p113)) 16.48/16.70 ; trust MACRO_RESOLUTION_TRUST 16.48/16.70 (step @p122 :rule trust :premises (@p121 @p110) :args (@t132)) 16.48/16.70 (step @p123 :rule cnf_or_neg :args (@t131 2)) 16.48/16.70 ; trust MACRO_RESOLUTION_TRUST 16.48/16.70 (step @p124 :rule trust :premises (@p123 @p122) :args (@t134)) 16.48/16.70 (step @p125 :rule and_elim :premises (@p65) :args (0)) 16.48/16.70 (assume-push @p126 @t95) 16.48/16.70 (step @p127 :rule instantiate :premises (@p125) :args ((@list @t66 0 @t58 @t69 @t120))) 16.48/16.70 (step-pop @p288 :rule scope :premises (@p127)) 16.48/16.70 (step @p128 :rule process_scope :premises (@p288) :args ((or @t73 (and (or (and (not @t140) (not (forall @t12 (or @t142 @t141 @t105)))) (and @t140 @t139)) (or @t138 (>= (+ 0 @t125) 1) @t136))))) 16.48/16.70 ; trust MACRO_SR_PRED_ELIM 16.48/16.70 (step @p130 :rule trust :premises (@p128) :args ((=> @t95 @t146))) 16.48/16.70 (step @p131 :rule implies_elim :premises (@p130)) 16.48/16.70 ; trust MACRO_RESOLUTION_TRUST 16.48/16.70 (step @p132 :rule trust :premises (@p131 @p125) :args (@t146)) 16.48/16.70 ; trust MACRO_SR_PRED_INTRO 16.48/16.70 (step @p133 :rule trust :premises () :args ((= (not @t73) @t72))) 16.48/16.70 (step @p134 :rule nary_cong :premises (@p94 @p133) :args (or)) 16.48/16.70 (step @p135 :rule cnf_or_neg :args (@t82 6)) 16.48/16.70 (step @p136 :rule eq_resolve :premises (@p135 @p134)) 16.48/16.70 (step @p137 :rule reordering :premises (@p136) :args ((or @t72 @t82))) 16.48/16.70 ; trust MACRO_RESOLUTION_TRUST 16.48/16.70 (step @p138 :rule trust :premises (@p137 @p61) :args (@t72)) 16.48/16.70 (step @p139 :rule cnf_or_pos :args (@t146)) 16.48/16.70 (step @p140 :rule reordering :premises (@p139) :args ((or @t73 @t145 (not @t146)))) 16.48/16.70 ; trust MACRO_RESOLUTION_TRUST 16.48/16.70 (step @p141 :rule trust :premises (@p140 @p138 @p132) :args (@t145)) 16.48/16.70 (step @p142 :rule cnf_and_pos :args (@t145 1)) 16.48/16.70 (step @p143 :rule reordering :premises (@p142) :args ((or @t143 (not @t145)))) 16.48/16.70 ; trust MACRO_RESOLUTION_TRUST 16.48/16.70 (step @p144 :rule trust :premises (@p143 @p141) :args (@t143)) 16.48/16.70 ; trust MACRO_SR_PRED_INTRO 16.48/16.70 (step @p145 :rule trust :premises () :args ((= (not @t134) @t124))) 16.48/16.70 (step @p146 :rule refl :args (@t148)) 16.48/16.70 (step @p147 :rule refl :args (@t150)) 16.48/16.70 (step @p148 :rule refl :args (@t152)) 16.48/16.70 (step @p149 :rule refl :args (@t153)) 16.48/16.70 (step @p150 :rule nary_cong :premises (@p149 @p148 @p147 @p146 @p145) :args (or)) 16.48/16.70 (assume-push @p151 @t155) 16.48/16.70 (assume-push @p152 @t154) 16.48/16.70 (step @p153 :rule true_intro :premises (@p152)) 16.48/16.70 (step @p154 :rule false_intro :premises (@p151)) 16.48/16.70 (step @p155 :rule symm :premises (@p154)) 16.48/16.70 (step @p156 :rule trans :premises (@p155 @p153)) 16.48/16.70 ; trust MACRO_SR_PRED_ELIM 16.48/16.70 (step @p157 false :rule trust :premises (@p156) :args (false)) 16.48/16.70 (step-pop @p289 :rule scope :premises (@p157)) 16.48/16.70 (step-pop @p290 :rule scope :premises (@p289)) 16.48/16.70 (step @p158 :rule process_scope :premises (@p290) :args (false)) 16.48/16.70 (assume-push @p161 @t115) 16.48/16.70 (assume-push @p162 @t151) 16.48/16.70 (assume-push @p163 @t149) 16.48/16.70 (assume-push @p164 @t147) 16.48/16.70 (assume-push @p165 @t134) 16.48/16.70 (assume-push @p166 @t151) 16.48/16.70 (assume-push @p167 @t147) 16.48/16.70 (assume-push @p168 @t149) 16.48/16.70 (assume-push @p169 @t115) 16.48/16.70 (step @p170 :rule symm :premises (@p164)) 16.48/16.70 (step @p171 :rule symm :premises (@p170)) 16.48/16.70 (step @p172 :rule cong :premises (@p78 @p77 @p171) :args (tptp.get2)) 16.48/16.70 (step @p173 :rule trans :premises (@p90 @p81 @p172)) 16.48/16.70 (step @p174 :rule cong :premises (@p173) :args (tptp.tb2t)) 16.48/16.70 (step-pop @p291 :rule scope :premises (@p174)) 16.48/16.70 (step-pop @p292 :rule scope :premises (@p291)) 16.48/16.70 (step-pop @p293 :rule scope :premises (@p292)) 16.48/16.70 (step-pop @p294 :rule scope :premises (@p293)) 16.48/16.70 (step @p175 :rule process_scope :premises (@p294) :args (@t154)) 16.48/16.70 (step @p180 :rule and_intro :premises (@p77 @p164 @p80 @p89)) 16.48/16.70 (step @p181 :rule modus_ponens :premises (@p180 @p175)) 16.48/16.70 (assume-push @p182 @t134) 16.48/16.70 (assume-push @p183 @t154) 16.48/16.70 ; WARNING: add trust step for MACRO_SR_PRED_TRANSFORM 16.48/16.70 ; trust MACRO_SR_PRED_TRANSFORM 16.48/16.70 (step @p184 :rule trust :premises (@p124) :args ((< @t123 0))) 16.48/16.70 (step @p185 :rule int_tight_ub :premises (@p184)) 16.48/16.70 ; WARNING: add trust step for MACRO_ARITH_SCALE_SUM_UB 16.48/16.70 ; trust MACRO_ARITH_SCALE_SUM_UB 16.48/16.70 (step @p186 :rule trust :premises (@p152 @p185) :args ((<= (+ @t68 @t123) (+ @t122 -1)))) 16.48/16.70 ; trust MACRO_SR_PRED_TRANSFORM 16.48/16.70 (step @p187 false :rule trust :premises (@p186) :args (false)) 16.48/16.70 (step-pop @p295 :rule scope :premises (@p187)) 16.48/16.70 (step @p188 :rule process_scope :premises (@p295) :args (false)) 16.48/16.70 (step-pop @p296 :rule scope :premises (@p188)) 16.48/16.70 (step @p190 :rule process_scope :premises (@p296) :args (@t155)) 16.48/16.70 (step @p192 :rule modus_ponens :premises (@p124 @p190)) 16.48/16.70 (step @p193 :rule and_intro :premises (@p192 @p181)) 16.48/16.70 (step-pop @p297 :rule scope :premises (@p193)) 16.48/16.70 (step-pop @p298 :rule scope :premises (@p297)) 16.48/16.70 (step-pop @p299 :rule scope :premises (@p298)) 16.48/16.70 (step-pop @p300 :rule scope :premises (@p299)) 16.48/16.70 (step-pop @p301 :rule scope :premises (@p300)) 16.48/16.70 (step @p194 :rule process_scope :premises (@p301) :args (@t156)) 16.48/16.70 (step @p200 :rule implies_elim :premises (@p194)) 16.48/16.70 (step @p201 :rule resolution :premises (@p200 @p158) :args (true @t156)) 16.48/16.70 (step @p202 :rule not_and :premises (@p201)) 16.48/16.70 (step @p203 :rule eq_resolve :premises (@p202 @p150)) 16.48/16.70 (step @p204 :rule reordering :premises (@p203) :args ((or @t153 @t152 @t150 @t124 @t148))) 16.48/16.70 ; trust MACRO_RESOLUTION_TRUST 16.48/16.70 (step @p205 :rule trust :premises (@p204 @p89 @p77 @p80 @p124) :args (@t148)) 16.48/16.70 ; trust MACRO_SR_PRED_INTRO 16.48/16.70 (step @p206 :rule trust :premises () :args ((= (not @t128) @t127))) 16.48/16.70 (step @p207 :rule refl :args (@t131)) 16.48/16.70 (step @p208 :rule nary_cong :premises (@p207 @p206) :args (or)) 16.48/16.70 (step @p209 :rule cnf_or_neg :args (@t131 1)) 16.48/16.70 (step @p210 :rule eq_resolve :premises (@p209 @p208)) 16.48/16.70 (step @p211 :rule reordering :premises (@p210) :args ((or @t127 @t131))) 16.48/16.70 ; trust MACRO_RESOLUTION_TRUST 16.48/16.70 (step @p212 :rule trust :premises (@p211 @p122) :args (@t127)) 16.48/16.70 ; trust MACRO_SR_PRED_INTRO 16.48/16.70 (step @p213 :rule trust :premises () :args ((= (not @t138) @t137))) 16.48/16.70 ; trust MACRO_SR_PRED_INTRO 16.48/16.70 (step @p214 :rule trust :premises () :args ((= (not @t148) @t147))) 16.48/16.70 (step @p215 :rule refl :args (@t128)) 16.48/16.70 (step @p216 :rule nary_cong :premises (@p215 @p214 @p213) :args (or)) 16.48/16.70 (assume-push @p217 @t127) 16.48/16.70 (assume-push @p218 @t138) 16.48/16.70 (assume-push @p219 @t148) 16.48/16.70 ; trust MACRO_SR_PRED_TRANSFORM 16.48/16.70 (step @p220 :rule trust :premises (@p219) :args ((not @t157))) 16.48/16.70 ; trust MACRO_SR_PRED_TRANSFORM 16.48/16.70 (step @p221 :rule trust :premises (@p218) :args ((< @t126 1))) 16.48/16.70 (step @p222 :rule int_tight_ub :premises (@p221)) 16.48/16.70 (step @p223 :rule arith_trichotomy :premises (@p212 @p222)) 16.48/16.70 ; trust MACRO_SR_PRED_TRANSFORM 16.48/16.70 (step @p224 :rule trust :premises (@p223) :args (@t157)) 16.48/16.70 (step @p225 false :rule contra :premises (@p224 @p220)) 16.48/16.70 (step-pop @p302 :rule scope :premises (@p225)) 16.48/16.70 (step-pop @p303 :rule scope :premises (@p302)) 16.48/16.70 (step-pop @p304 :rule scope :premises (@p303)) 16.48/16.70 (step @p226 :rule process_scope :premises (@p304) :args (false)) 16.48/16.70 (assume-push @p230 @t127) 16.48/16.70 (assume-push @p231 @t148) 16.48/16.70 (assume-push @p232 @t138) 16.48/16.70 (step @p233 :rule and_intro :premises (@p212 @p218 @p219)) 16.48/16.70 (step-pop @p305 :rule scope :premises (@p233)) 16.48/16.70 (step-pop @p306 :rule scope :premises (@p305)) 16.48/16.70 (step-pop @p307 :rule scope :premises (@p306)) 16.48/16.70 (step @p234 :rule process_scope :premises (@p307) :args (@t158)) 16.48/16.70 (step @p238 :rule implies_elim :premises (@p234)) 16.48/16.70 (step @p239 :rule resolution :premises (@p238 @p226) :args (true @t158)) 16.48/16.70 (step @p240 :rule not_and :premises (@p239)) 16.48/16.70 (step @p241 :rule eq_resolve :premises (@p240 @p216)) 16.48/16.70 ; trust MACRO_RESOLUTION_TRUST 16.48/16.70 (step @p242 :rule trust :premises (@p241 @p212 @p205) :args (@t137)) 16.48/16.70 ; trust MACRO_SR_PRED_INTRO 16.48/16.70 (step @p243 :rule trust :premises () :args ((= (not @t130) @t129))) 16.48/16.70 (step @p244 :rule nary_cong :premises (@p207 @p243) :args (or)) 16.48/16.70 (step @p245 :rule cnf_or_neg :args (@t131 0)) 16.48/16.70 (step @p246 :rule eq_resolve :premises (@p245 @p244)) 16.48/16.70 (step @p247 :rule reordering :premises (@p246) :args ((or @t129 @t131))) 16.48/16.70 ; trust MACRO_RESOLUTION_TRUST 16.48/16.70 (step @p248 :rule trust :premises (@p247 @p122) :args (@t129)) 16.48/16.70 (step @p249 :rule cnf_or_pos :args (@t143)) 16.48/16.70 (step @p250 :rule reordering :premises (@p249) :args ((or @t130 @t138 @t136 (not @t143)))) 16.48/16.70 ; trust MACRO_RESOLUTION_TRUST 16.48/16.70 (step @p251 :rule trust :premises (@p250 @p248 @p242 @p144) :args (@t136)) 16.48/16.70 (step @p252 :rule refl :args ((not @t136))) 16.48/16.70 ; trust MACRO_SR_PRED_INTRO 16.48/16.70 (step @p253 :rule trust :premises () :args ((= (not @t85) @t71))) 16.48/16.70 (step @p254 :rule nary_cong :premises (@p253 @p145 @p252) :args (or)) 16.48/16.70 (assume-push @p255 @t136) 16.48/16.70 (assume-push @p256 @t134) 16.48/16.70 (assume-push @p257 @t85) 16.48/16.70 (assume-push @p258 @t159) 16.48/16.70 ; trust MACRO_RESOLUTION_TRUST 16.48/16.70 (step @p259 :rule trust :premises (@p62 @p61) :args (@t85)) 16.48/16.70 ; trust MACRO_SR_PRED_TRANSFORM 16.48/16.70 (step @p260 :rule trust :premises (@p259) :args (@t159)) 16.48/16.70 ; trust MACRO_ARITH_SCALE_SUM_UB 16.48/16.70 (step @p261 :rule trust :premises (@p260 @p184 @p255) :args ((< (+ @t70 @t123 (* -1 @t135)) (+ 0 0 @t104)))) 16.48/16.70 ; trust MACRO_SR_PRED_TRANSFORM 16.48/16.70 (step @p262 false :rule trust :premises (@p261) :args (false)) 16.48/16.70 (step-pop @p308 :rule scope :premises (@p262)) 16.48/16.70 (step @p263 :rule process_scope :premises (@p308) :args (false)) 16.48/16.70 ; trust MACRO_SR_PRED_TRANSFORM 16.48/16.70 (step @p265 :rule trust :premises (@p263) :args (@t71)) 16.48/16.70 ; trust MACRO_SR_PRED_TRANSFORM 16.48/16.70 (step @p266 :rule trust :premises (@p265) :args ((not @t159))) 16.48/16.70 ; trust MACRO_SR_PRED_TRANSFORM 16.48/16.70 (step @p267 :rule trust :premises (@p63) :args (@t159)) 16.48/16.70 (step @p268 false :rule contra :premises (@p267 @p266)) 16.48/16.70 (step-pop @p309 :rule scope :premises (@p268)) 16.48/16.70 (step-pop @p310 :rule scope :premises (@p309)) 16.48/16.70 (step-pop @p311 :rule scope :premises (@p310)) 16.48/16.70 (step @p269 :rule process_scope :premises (@p311) :args (false)) 16.48/16.70 (assume-push @p273 @t85) 16.48/16.70 (assume-push @p274 @t134) 16.48/16.70 (assume-push @p275 @t136) 16.48/16.70 (step @p276 :rule and_intro :premises (@p255 @p124 @p63)) 16.48/16.70 (step-pop @p312 :rule scope :premises (@p276)) 16.48/16.70 (step-pop @p313 :rule scope :premises (@p312)) 16.48/16.70 (step-pop @p314 :rule scope :premises (@p313)) 16.48/16.70 (step @p277 :rule process_scope :premises (@p314) :args (@t160)) 16.48/16.70 (step @p281 :rule implies_elim :premises (@p277)) 16.48/16.70 (step @p282 :rule resolution :premises (@p281 @p269) :args (true @t160)) 16.48/16.70 (step @p283 :rule not_and :premises (@p282)) 16.48/16.70 (step @p284 :rule eq_resolve :premises (@p283 @p254)) 16.48/16.70 ; trust MACRO_RESOLUTION_TRUST 16.48/16.70 (step @p285 false :rule trust :premises (@p284 @p251 @p124 @p63) :args (false)) 16.48/16.70 16.48/16.70 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.B9GskHwPjD/cvc5---1.0.5_6869.smt2 16.48/16.70 % cvc5---1.0.5 exiting 16.55/16.70 % cvc5---1.0.5 exiting 16.55/16.70 EOF