%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU180+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:50:52 AM UTC 2026 % Result : Theorem 33.92s 34.19s % Output : Proof 33.92s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU180+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n004.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:33:52 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 33.92/34.19 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.92/34.19 --- Run --no-e-matching --full-saturate-quant at 6... % 33.92/34.19 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.92/34.19 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.92/34.19 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.92/34.19 % SZS status Theorem % 33.92/34.19 % SZS output start Proof % 33.92/34.19 ( % 33.92/34.19 (declare-sort $$unsorted 0) % 33.92/34.19 (declare-const tptp.empty_set $$unsorted) % 33.92/34.19 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 33.92/34.19 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 33.92/34.19 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 33.92/34.19 (declare-const tptp.relation (-> $$unsorted Bool)) % 33.92/34.19 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 33.92/34.19 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 33.92/34.19 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 33.92/34.19 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 33.92/34.19 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 33.92/34.19 (declare-const tptp.empty (-> $$unsorted Bool)) % 33.92/34.19 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 33.92/34.19 (define @t1 () (@var "A" $$unsorted)) % 33.92/34.19 (define @t2 () (@var "B" $$unsorted)) % 33.92/34.19 (define @t3 () (tptp.in @t1 @t2)) % 33.92/34.19 (define @t4 () (@list @t1 @t2)) % 33.92/34.19 (define @t5 () (tptp.unordered_pair @t1 @t2)) % 33.92/34.19 (define @t6 () (tptp.set_union2 @t2 @t1)) % 33.92/34.19 (define @t7 () (tptp.set_union2 @t1 @t2)) % 33.92/34.19 (define @t8 () (@var "D" $$unsorted)) % 33.92/34.19 (define @t9 () (@var "C" $$unsorted)) % 33.92/34.19 (define @t10 () (@list @t8)) % 33.92/34.19 (define @t11 () (forall @t10 (= (tptp.in @t8 @t9) (or (tptp.in @t8 @t1) (tptp.in @t8 @t2))))) % 33.92/34.19 (define @t12 () (= (= @t9 @t7) @t11)) % 33.92/34.19 (define @t13 () (@list @t1 @t2 @t9)) % 33.92/34.19 (define @t14 () (forall @t13 @t12)) % 33.92/34.19 (define @t15 () (tptp.ordered_pair @t9 @t8)) % 33.92/34.19 (define @t16 () (tptp.in @t15 @t1)) % 33.92/34.19 (define @t17 () (exists @t10 @t16)) % 33.92/34.19 (define @t18 () (tptp.in @t9 @t2)) % 33.92/34.19 (define @t19 () (= @t18 @t17)) % 33.92/34.19 (define @t20 () (@list @t9)) % 33.92/34.19 (define @t21 () (forall @t20 @t19)) % 33.92/34.19 (define @t22 () (tptp.relation_dom @t1)) % 33.92/34.19 (define @t23 () (= @t2 @t22)) % 33.92/34.19 (define @t24 () (= @t23 @t21)) % 33.92/34.19 (define @t25 () (@list @t2)) % 33.92/34.19 (define @t26 () (forall @t25 @t24)) % 33.92/34.19 (define @t27 () (tptp.relation @t1)) % 33.92/34.19 (define @t28 () (=> @t27 @t26)) % 33.92/34.19 (define @t29 () (@list @t1)) % 33.92/34.19 (define @t30 () (forall @t29 @t28)) % 33.92/34.19 (define @t31 () (tptp.ordered_pair @t8 @t9)) % 33.92/34.19 (define @t32 () (tptp.in @t31 @t1)) % 33.92/34.19 (define @t33 () (exists @t10 @t32)) % 33.92/34.19 (define @t34 () (= @t18 @t33)) % 33.92/34.19 (define @t35 () (forall @t20 @t34)) % 33.92/34.19 (define @t36 () (tptp.relation_rng @t1)) % 33.92/34.19 (define @t37 () (= @t2 @t36)) % 33.92/34.19 (define @t38 () (= @t37 @t35)) % 33.92/34.19 (define @t39 () (forall @t25 @t38)) % 33.92/34.19 (define @t40 () (=> @t27 @t39)) % 33.92/34.19 (define @t41 () (forall @t29 @t40)) % 33.92/34.19 (define @t42 () (tptp.singleton @t1)) % 33.92/34.19 (define @t43 () (tptp.ordered_pair @t1 @t2)) % 33.92/34.19 (define @t44 () (= (tptp.relation_field @t1) (tptp.set_union2 @t22 @t36))) % 33.92/34.19 (define @t45 () (forall @t29 (=> @t27 @t44))) % 33.92/34.19 (define @t46 () (tptp.empty @t1)) % 33.92/34.19 (define @t47 () (not @t46)) % 33.92/34.19 (define @t48 () (tptp.element @t1 @t2)) % 33.92/34.19 (define @t49 () (tptp.empty @t2)) % 33.92/34.19 (define @t50 () (tptp.relation_field @t9)) % 33.92/34.19 (define @t51 () (and (tptp.in @t1 @t50) (tptp.in @t2 @t50))) % 33.92/34.19 (define @t52 () (tptp.in @t43 @t9)) % 33.92/34.19 (define @t53 () (=> @t52 @t51)) % 33.92/34.19 (define @t54 () (tptp.relation @t9)) % 33.92/34.19 (define @t55 () (forall @t13 (=> @t54 @t53))) % 33.92/34.19 (define @t56 () (not @t55)) % 33.92/34.19 (define @t57 () (@var "BOUND_VARIABLE_7604" $$unsorted)) % 33.92/34.19 (define @t58 () (tptp.in @t9 @t57)) % 33.92/34.19 (define @t59 () (not (forall @t10 (not @t32)))) % 33.92/34.19 (define @t60 () (forall @t20 (= @t58 @t59))) % 33.92/34.19 (define @t61 () (= (= @t57 @t36) @t60)) % 33.92/34.19 (define @t62 () (not @t27)) % 33.92/34.19 (define @t63 () (or @t62 @t61)) % 33.92/34.19 (define @t64 () (@list @t1 @t57)) % 33.92/34.19 (define @t65 () (forall @t64 @t63)) % 33.92/34.19 (define @t66 () (@list @t57)) % 33.92/34.19 (define @t67 () (forall @t66 @t63)) % 33.92/34.19 (define @t68 () (forall @t66 @t61)) % 33.92/34.19 (define @t69 () (@list @t2)) % 33.92/34.19 (define @t70 () (or @t62 @t68)) % 33.92/34.19 (define @t71 () (forall @t25 (= @t37 (forall @t20 (= @t18 @t59))))) % 33.92/34.19 (define @t72 () (not @t52)) % 33.92/34.19 (define @t73 () (not @t54)) % 33.92/34.19 (define @t74 () (or @t73 @t72 @t51)) % 33.92/34.19 (define @t75 () (forall @t13 @t74)) % 33.92/34.19 (define @t76 () (@quantifiers_skolemize @t75 2)) % 33.92/34.19 (define @t77 () (tptp.relation_rng @t76)) % 33.92/34.19 (define @t78 () (forall @t20 (= (not (forall @t10 (not (tptp.in @t31 @t76)))) (tptp.in @t9 @t77)))) % 33.92/34.19 (define @t79 () (= (= @t77 @t77) @t78)) % 33.92/34.19 (define @t80 () (tptp.relation @t76)) % 33.92/34.19 (define @t81 () (not @t80)) % 33.92/34.19 (define @t82 () (or @t81 @t79)) % 33.92/34.19 (define @t83 () (forall @t64 (or @t62 (= (= @t36 @t57) (forall @t20 (= @t59 @t58)))))) % 33.92/34.19 (define @t84 () (or @t81 @t78)) % 33.92/34.19 (define @t85 () (@list false)) % 33.92/34.19 (define @t86 () (tptp.relation_field @t76)) % 33.92/34.19 (define @t87 () (@quantifiers_skolemize @t75 1)) % 33.92/34.19 (define @t88 () (tptp.in @t87 @t86)) % 33.92/34.19 (define @t89 () (@quantifiers_skolemize @t75 0)) % 33.92/34.19 (define @t90 () (tptp.in @t89 @t86)) % 33.92/34.19 (define @t91 () (and @t90 @t88)) % 33.92/34.19 (define @t92 () (tptp.in (tptp.ordered_pair @t89 @t87) @t76)) % 33.92/34.19 (define @t93 () (not @t92)) % 33.92/34.19 (define @t94 () (or @t81 @t93 @t91)) % 33.92/34.19 (define @t95 () (@list true)) % 33.92/34.19 (define @t96 () (@list @t94)) % 33.92/34.19 (define @t97 () (@list false false)) % 33.92/34.19 (define @t98 () (forall @t10 (not (tptp.in (tptp.ordered_pair @t8 @t87) @t76)))) % 33.92/34.19 (define @t99 () (@list @t89)) % 33.92/34.19 (define @t100 () (not @t98)) % 33.92/34.19 (define @t101 () (@list @t92)) % 33.92/34.19 (define @t102 () (= @t7 @t9)) % 33.92/34.19 (define @t103 () (tptp.relation_dom @t76)) % 33.92/34.19 (define @t104 () (forall @t10 (= (tptp.in @t8 @t86) (or (tptp.in @t8 @t103) (tptp.in @t8 @t77))))) % 33.92/34.19 (define @t105 () (tptp.set_union2 @t103 @t77)) % 33.92/34.19 (define @t106 () (= @t86 @t105)) % 33.92/34.19 (define @t107 () (= @t104 (= @t105 @t86))) % 33.92/34.19 (define @t108 () (forall @t13 (= @t11 @t102))) % 33.92/34.19 (define @t109 () (= @t106 @t104)) % 33.92/34.19 (define @t110 () (or @t81 @t106)) % 33.92/34.19 (define @t111 () (@list @t87)) % 33.92/34.19 (define @t112 () (@var "BOUND_VARIABLE_7576" $$unsorted)) % 33.92/34.19 (define @t113 () (tptp.in @t9 @t112)) % 33.92/34.19 (define @t114 () (not (forall @t10 (not @t16)))) % 33.92/34.19 (define @t115 () (forall @t20 (= @t113 @t114))) % 33.92/34.19 (define @t116 () (= (= @t112 @t22) @t115)) % 33.92/34.19 (define @t117 () (or @t62 @t116)) % 33.92/34.19 (define @t118 () (@list @t1 @t112)) % 33.92/34.19 (define @t119 () (forall @t118 @t117)) % 33.92/34.19 (define @t120 () (@list @t112)) % 33.92/34.19 (define @t121 () (forall @t120 @t117)) % 33.92/34.19 (define @t122 () (forall @t120 @t116)) % 33.92/34.19 (define @t123 () (or @t62 @t122)) % 33.92/34.19 (define @t124 () (forall @t25 (= @t23 (forall @t20 (= @t18 @t114))))) % 33.92/34.19 (define @t125 () (forall @t20 (= (not (forall @t10 (not (tptp.in @t15 @t76)))) (tptp.in @t9 @t103)))) % 33.92/34.19 (define @t126 () (= (= @t103 @t103) @t125)) % 33.92/34.19 (define @t127 () (or @t81 @t126)) % 33.92/34.19 (define @t128 () (forall @t118 (or @t62 (= (= @t22 @t112) (forall @t20 (= @t114 @t113)))))) % 33.92/34.19 (define @t129 () (or @t81 @t125)) % 33.92/34.19 (define @t130 () (forall @t10 (not (tptp.in (tptp.ordered_pair @t89 @t8) @t76)))) % 33.92/34.19 (define @t131 () (not @t130)) % 33.92/34.19 (define @t132 () (tptp.in @t89 @t103)) % 33.92/34.19 (define @t133 () (= @t131 @t132)) % 33.92/34.19 (define @t134 () (= @t132 @t131)) % 33.92/34.19 (define @t135 () (not @t134)) % 33.92/34.19 (define @t136 () (@list true false)) % 33.92/34.19 (define @t137 () (or @t132 (tptp.in @t89 @t77))) % 33.92/34.19 (define @t138 () (= @t90 @t137)) % 33.92/34.19 (define @t139 () (tptp.in @t87 @t77)) % 33.92/34.19 (define @t140 () (or (tptp.in @t87 @t103) @t139)) % 33.92/34.19 (define @t141 () (= @t88 @t140)) % 33.92/34.19 (define @t142 () (not @t140)) % 33.92/34.19 (define @t143 () (= @t139 @t100)) % 33.92/34.19 (define @t144 () (not @t143)) % 33.92/34.19 (define @t145 () (= @t100 @t139)) % 33.92/34.19 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 33.92/34.19 (assume @p2 (forall @t4 (= @t5 (tptp.unordered_pair @t2 @t1)))) % 33.92/34.19 (assume @p3 (forall @t4 (= @t7 @t6))) % 33.92/34.19 (assume @p4 @t14) % 33.92/34.19 (assume @p5 @t30) % 33.92/34.19 (assume @p6 @t41) % 33.92/34.19 (assume @p7 (forall @t4 (= @t43 (tptp.unordered_pair @t5 @t42)))) % 33.92/34.19 (assume @p8 @t45) % 33.92/34.19 (assume @p9 true) % 33.92/34.19 (assume @p10 (forall @t29 (exists @t25 (tptp.element @t2 @t1)))) % 33.92/34.19 (assume @p11 (tptp.empty tptp.empty_set)) % 33.92/34.19 (assume @p12 (forall @t4 (not (tptp.empty @t43)))) % 33.92/34.19 (assume @p13 (forall @t4 (=> (and @t27 (tptp.relation @t2)) (tptp.relation @t7)))) % 33.92/34.19 (assume @p14 (forall @t29 (not (tptp.empty @t42)))) % 33.92/34.19 (assume @p15 (forall @t4 (=> @t47 (not (tptp.empty @t7))))) % 33.92/34.19 (assume @p16 (forall @t4 (not (tptp.empty @t5)))) % 33.92/34.19 (assume @p17 (forall @t4 (=> @t47 (not (tptp.empty @t6))))) % 33.92/34.19 (assume @p18 (forall @t4 (= (tptp.set_union2 @t1 @t1) @t1))) % 33.92/34.19 (assume @p19 (exists @t29 (and @t46 @t27))) % 33.92/34.19 (assume @p20 (exists @t29 @t46)) % 33.92/34.19 (assume @p21 (exists @t29 @t47)) % 33.92/34.19 (assume @p22 (forall @t29 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 33.92/34.19 (assume @p23 (forall @t4 (=> @t3 @t48))) % 33.92/34.19 (assume @p24 (forall @t4 (=> @t48 (or @t49 @t3)))) % 33.92/34.19 (assume @p25 @t56) % 33.92/34.19 (assume @p26 (forall @t29 (=> @t46 (= @t1 tptp.empty_set)))) % 33.92/34.19 (assume @p27 (forall @t4 (not (and @t3 @t49)))) % 33.92/34.19 (assume @p28 (forall @t4 (not (and @t46 (not (= @t1 @t2)) @t49)))) % 33.92/34.19 (step @p29 :rule eq-symm :args (@t58 @t59)) % 33.92/34.19 (step @p30 :rule cong :premises (@p29) :args (@t60)) % 33.92/34.19 (step @p31 :rule eq-symm :args (@t57 @t36)) % 33.92/34.19 (step @p32 :rule cong :premises (@p31 @p30) :args (@t61)) % 33.92/34.19 (step @p33 :rule refl :args (@t62)) % 33.92/34.19 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t63)) % 33.92/34.19 (step @p35 :rule cong :premises (@p34) :args (@t65)) % 33.92/34.19 (step @p36 :rule quant-merge-prenex :args ((= (forall @t29 @t67) @t65))) % 33.92/34.19 (step @p37 :rule alpha_equiv :args (@t68 (@list @t57) @t69)) % 33.92/34.19 (step @p38 :rule refl :args (@t62)) % 33.92/34.19 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t70)) % 33.92/34.19 (step @p40 :rule quant-miniscope-or :args ((= @t67 @t70))) % 33.92/34.19 (step @p41 :rule trans :premises (@p40 @p39)) % 33.92/34.19 (step @p42 :rule symm :premises (@p41)) % 33.92/34.19 (step @p43 :rule cong :premises (@p42) :args ((forall @t29 (or @t62 @t71)))) % 33.92/34.19 (step @p44 :rule trans :premises (@p43 @p36)) % 33.92/34.19 (step @p45 :rule trans :premises (@p44 @p35)) % 33.92/34.19 (step @p46 :rule bool-impl-elim :args (@t27 @t71)) % 33.92/34.19 (step @p47 :rule cong :premises (@p46) :args ((forall @t29 (=> @t27 @t71)))) % 33.92/34.19 (step @p48 :rule trans :premises (@p47 @p45)) % 33.92/34.19 (step @p49 :rule exists-elim :args ((= @t33 @t59))) % 33.92/34.19 (step @p50 :rule refl :args (@t18)) % 33.92/34.19 (step @p51 :rule cong :premises (@p50 @p49) :args (@t34)) % 33.92/34.19 (step @p52 :rule cong :premises (@p51) :args (@t35)) % 33.92/34.19 (step @p53 :rule refl :args (@t37)) % 33.92/34.19 (step @p54 :rule cong :premises (@p53 @p52) :args (@t38)) % 33.92/34.19 (step @p55 :rule cong :premises (@p54) :args (@t39)) % 33.92/34.19 (step @p56 :rule refl :args (@t27)) % 33.92/34.19 (step @p57 :rule cong :premises (@p56 @p55) :args (@t40)) % 33.92/34.19 (step @p58 :rule cong :premises (@p57) :args (@t41)) % 33.92/34.19 (step @p59 :rule trans :premises (@p58 @p48)) % 33.92/34.19 (step @p60 :rule eq_resolve :premises (@p6 @p59)) % 33.92/34.19 (step @p61 :rule bool-eq-true :args (@t78)) % 33.92/34.19 (step @p62 :rule eq-symm :args (true @t78)) % 33.92/34.19 (step @p63 :rule trans :premises (@p62 @p61)) % 33.92/34.19 (step @p64 :rule refl :args (@t78)) % 33.92/34.19 (step @p65 :rule eq-refl :args (@t77)) % 33.92/34.19 (step @p66 :rule cong :premises (@p65 @p64) :args (@t79)) % 33.92/34.19 (step @p67 :rule trans :premises (@p66 @p63)) % 33.92/34.19 (step @p68 :rule refl :args (@t81)) % 33.92/34.19 (step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t82)) % 33.92/34.19 (step @p70 :rule refl :args (@t83)) % 33.92/34.19 (step @p71 :rule cong :premises (@p70 @p69) :args ((=> @t83 @t82))) % 33.92/34.19 (assume-push @p249 @t83) % 33.92/34.19 (step @p73 :rule instantiate :premises (@p60) :args ((@list @t76 @t77))) % 33.92/34.19 (step-pop @p250 :rule scope :premises (@p73)) % 33.92/34.19 (step @p74 :rule process_scope :premises (@p250) :args (@t82)) % 33.92/34.19 (step @p76 :rule eq_resolve :premises (@p74 @p71)) % 33.92/34.19 (step @p77 :rule implies_elim :premises (@p76)) % 33.92/34.19 (step @p78 :rule chain_m_resolution :premises (@p77 @p60) :args (@t84 @t85 (@list @t83))) % 33.92/34.19 (step @p79 :rule aci_norm :args ((= (or @t73 (or @t72 @t51)) @t74))) % 33.92/34.19 (step @p80 :rule bool-impl-elim :args (@t52 @t51)) % 33.92/34.19 (step @p81 :rule refl :args (@t73)) % 33.92/34.19 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t73 @t53))) % 33.92/34.19 (step @p83 :rule trans :premises (@p82 @p79)) % 33.92/34.19 (step @p84 :rule bool-impl-elim :args (@t54 @t53)) % 33.92/34.19 (step @p85 :rule trans :premises (@p84 @p83)) % 33.92/34.19 (step @p86 :rule cong :premises (@p85) :args (@t55)) % 33.92/34.19 (step @p87 :rule cong :premises (@p86) :args (@t56)) % 33.92/34.19 (step @p88 :rule eq_resolve :premises (@p25 @p87)) % 33.92/34.19 (step @p89 :rule skolemize :premises (@p88)) % 33.92/34.19 (step @p90 :rule bool-double-not-elim :args (@t80)) % 33.92/34.19 (step @p91 :rule refl :args (@t94)) % 33.92/34.19 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t94 (not @t81)))) % 33.92/34.19 (step @p93 :rule cnf_or_neg :args (@t94 0)) % 33.92/34.19 (step @p94 :rule eq_resolve :premises (@p93 @p92)) % 33.92/34.19 (step @p95 :rule reordering :premises (@p94) :args ((or @t80 @t94))) % 33.92/34.19 (step @p96 :rule chain_m_resolution :premises (@p95 @p89) :args (@t80 @t95 @t96)) % 33.92/34.19 (step @p97 :rule cnf_or_pos :args (@t84)) % 33.92/34.19 (step @p98 :rule reordering :premises (@p97) :args ((or @t81 @t78 (not @t84)))) % 33.92/34.19 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p78) :args (@t78 @t97 (@list @t80 @t84))) % 33.92/34.19 (step @p100 :rule bool-double-not-elim :args (@t92)) % 33.92/34.19 (step @p101 :rule nary_cong :premises (@p91 @p100) :args ((or @t94 (not @t93)))) % 33.92/34.19 (step @p102 :rule cnf_or_neg :args (@t94 1)) % 33.92/34.19 (step @p103 :rule eq_resolve :premises (@p102 @p101)) % 33.92/34.19 (step @p104 :rule reordering :premises (@p103) :args ((or @t92 @t94))) % 33.92/34.19 (step @p105 :rule chain_m_resolution :premises (@p104 @p89) :args (@t92 @t95 @t96)) % 33.92/34.19 (assume-push @p251 @t98) % 33.92/34.19 (step @p107 :rule instantiate :premises (@p251) :args (@t99)) % 33.92/34.19 (step-pop @p252 :rule scope :premises (@p107)) % 33.92/34.19 (step @p108 :rule process_scope :premises (@p252) :args (@t93)) % 33.92/34.19 (step @p110 :rule implies_elim :premises (@p108)) % 33.92/34.19 (step @p111 :rule reordering :premises (@p110) :args ((or @t93 @t100))) % 33.92/34.19 (step @p112 :rule chain_m_resolution :premises (@p111 @p105) :args (@t100 @t85 @t101)) % 33.92/34.19 (step @p113 :rule eq-symm :args (@t102 @t11)) % 33.92/34.19 (step @p114 :rule refl :args (@t11)) % 33.92/34.19 (step @p115 :rule eq-symm :args (@t9 @t7)) % 33.92/34.19 (step @p116 :rule cong :premises (@p115 @p114) :args (@t12)) % 33.92/34.19 (step @p117 :rule trans :premises (@p116 @p113)) % 33.92/34.19 (step @p118 :rule cong :premises (@p117) :args (@t14)) % 33.92/34.19 (step @p119 :rule eq_resolve :premises (@p4 @p118)) % 33.92/34.19 (step @p120 :rule eq-symm :args (@t104 @t106)) % 33.92/34.19 (step @p121 :rule eq-symm :args (@t105 @t86)) % 33.92/34.19 (step @p122 :rule refl :args (@t104)) % 33.92/34.19 (step @p123 :rule cong :premises (@p122 @p121) :args (@t107)) % 33.92/34.19 (step @p124 :rule trans :premises (@p123 @p120)) % 33.92/34.19 (step @p125 :rule refl :args (@t108)) % 33.92/34.19 (step @p126 :rule cong :premises (@p125 @p124) :args ((=> @t108 @t107))) % 33.92/34.19 (assume-push @p253 @t108) % 33.92/34.19 (step @p128 :rule instantiate :premises (@p119) :args ((@list @t103 @t77 @t86))) % 33.92/34.19 (step-pop @p254 :rule scope :premises (@p128)) % 33.92/34.19 (step @p129 :rule process_scope :premises (@p254) :args (@t107)) % 33.92/34.19 (step @p131 :rule eq_resolve :premises (@p129 @p126)) % 33.92/34.19 (step @p132 :rule implies_elim :premises (@p131)) % 33.92/34.19 (step @p133 :rule chain_m_resolution :premises (@p132 @p119) :args (@t109 @t85 (@list @t108))) % 33.92/34.19 (step @p134 :rule bool-impl-elim :args (@t27 @t44)) % 33.92/34.19 (step @p135 :rule cong :premises (@p134) :args (@t45)) % 33.92/34.19 (step @p136 :rule eq_resolve :premises (@p8 @p135)) % 33.92/34.19 (step @p137 :rule instantiate :premises (@p136) :args ((@list @t76))) % 33.92/34.19 (step @p138 :rule cnf_or_pos :args (@t110)) % 33.92/34.19 (step @p139 :rule reordering :premises (@p138) :args ((or @t81 @t106 (not @t110)))) % 33.92/34.19 (step @p140 :rule chain_m_resolution :premises (@p139 @p96 @p137) :args (@t106 @t97 (@list @t80 @t110))) % 33.92/34.19 (step @p141 :rule cnf_equiv_pos1 :args (@t109)) % 33.92/34.19 (step @p142 :rule reordering :premises (@p141) :args ((or (not @t106) @t104 (not @t109)))) % 33.92/34.19 (step @p143 :rule chain_m_resolution :premises (@p142 @p140 @p133) :args (@t104 @t97 (@list @t106 @t109))) % 33.92/34.19 (step @p144 :rule instantiate :premises (@p143) :args (@t111)) % 33.92/34.19 (step @p145 :rule instantiate :premises (@p143) :args (@t99)) % 33.92/34.19 (step @p146 :rule eq-symm :args (@t113 @t114)) % 33.92/34.19 (step @p147 :rule cong :premises (@p146) :args (@t115)) % 33.92/34.19 (step @p148 :rule eq-symm :args (@t112 @t22)) % 33.92/34.19 (step @p149 :rule cong :premises (@p148 @p147) :args (@t116)) % 33.92/34.19 (step @p150 :rule nary_cong :premises (@p33 @p149) :args (@t117)) % 33.92/34.19 (step @p151 :rule cong :premises (@p150) :args (@t119)) % 33.92/34.19 (step @p152 :rule quant-merge-prenex :args ((= (forall @t29 @t121) @t119))) % 33.92/34.19 (step @p153 :rule alpha_equiv :args (@t122 (@list @t112) @t69)) % 33.92/34.19 (step @p154 :rule nary_cong :premises (@p38 @p153) :args (@t123)) % 33.92/34.19 (step @p155 :rule quant-miniscope-or :args ((= @t121 @t123))) % 33.92/34.19 (step @p156 :rule trans :premises (@p155 @p154)) % 33.92/34.19 (step @p157 :rule symm :premises (@p156)) % 33.92/34.19 (step @p158 :rule cong :premises (@p157) :args ((forall @t29 (or @t62 @t124)))) % 33.92/34.19 (step @p159 :rule trans :premises (@p158 @p152)) % 33.92/34.19 (step @p160 :rule trans :premises (@p159 @p151)) % 33.92/34.19 (step @p161 :rule bool-impl-elim :args (@t27 @t124)) % 33.92/34.19 (step @p162 :rule cong :premises (@p161) :args ((forall @t29 (=> @t27 @t124)))) % 33.92/34.19 (step @p163 :rule trans :premises (@p162 @p160)) % 33.92/34.19 (step @p164 :rule exists-elim :args ((= @t17 @t114))) % 33.92/34.19 (step @p165 :rule cong :premises (@p50 @p164) :args (@t19)) % 33.92/34.19 (step @p166 :rule cong :premises (@p165) :args (@t21)) % 33.92/34.19 (step @p167 :rule refl :args (@t23)) % 33.92/34.19 (step @p168 :rule cong :premises (@p167 @p166) :args (@t24)) % 33.92/34.19 (step @p169 :rule cong :premises (@p168) :args (@t26)) % 33.92/34.19 (step @p170 :rule cong :premises (@p56 @p169) :args (@t28)) % 33.92/34.19 (step @p171 :rule cong :premises (@p170) :args (@t30)) % 33.92/34.19 (step @p172 :rule trans :premises (@p171 @p163)) % 33.92/34.19 (step @p173 :rule eq_resolve :premises (@p5 @p172)) % 33.92/34.19 (step @p174 :rule bool-eq-true :args (@t125)) % 33.92/34.19 (step @p175 :rule eq-symm :args (true @t125)) % 33.92/34.19 (step @p176 :rule trans :premises (@p175 @p174)) % 33.92/34.19 (step @p177 :rule refl :args (@t125)) % 33.92/34.19 (step @p178 :rule eq-refl :args (@t103)) % 33.92/34.19 (step @p179 :rule cong :premises (@p178 @p177) :args (@t126)) % 33.92/34.19 (step @p180 :rule trans :premises (@p179 @p176)) % 33.92/34.19 (step @p181 :rule nary_cong :premises (@p68 @p180) :args (@t127)) % 33.92/34.19 (step @p182 :rule refl :args (@t128)) % 33.92/34.19 (step @p183 :rule cong :premises (@p182 @p181) :args ((=> @t128 @t127))) % 33.92/34.19 (assume-push @p255 @t128) % 33.92/34.19 (step @p185 :rule instantiate :premises (@p173) :args ((@list @t76 @t103))) % 33.92/34.19 (step-pop @p256 :rule scope :premises (@p185)) % 33.92/34.19 (step @p186 :rule process_scope :premises (@p256) :args (@t127)) % 33.92/34.19 (step @p188 :rule eq_resolve :premises (@p186 @p183)) % 33.92/34.19 (step @p189 :rule implies_elim :premises (@p188)) % 33.92/34.19 (step @p190 :rule chain_m_resolution :premises (@p189 @p173) :args (@t129 @t85 (@list @t128))) % 33.92/34.19 (step @p191 :rule cnf_or_pos :args (@t129)) % 33.92/34.19 (step @p192 :rule reordering :premises (@p191) :args ((or @t81 @t125 (not @t129)))) % 33.92/34.19 (step @p193 :rule chain_m_resolution :premises (@p192 @p96 @p190) :args (@t125 @t97 (@list @t80 @t129))) % 33.92/34.19 (step @p194 :rule eq-symm :args (@t131 @t132)) % 33.92/34.19 (step @p195 :rule cong :premises (@p177 @p194) :args ((=> @t125 @t133))) % 33.92/34.19 (assume-push @p257 @t125) % 33.92/34.19 (step @p197 :rule instantiate :premises (@p193) :args (@t99)) % 33.92/34.19 (step-pop @p258 :rule scope :premises (@p197)) % 33.92/34.19 (step @p198 :rule process_scope :premises (@p258) :args (@t133)) % 33.92/34.19 (step @p200 :rule eq_resolve :premises (@p198 @p195)) % 33.92/34.19 (step @p201 :rule implies_elim :premises (@p200)) % 33.92/34.19 (step @p202 :rule chain_m_resolution :premises (@p201 @p193) :args (@t134 @t85 (@list @t125))) % 33.92/34.19 (assume-push @p259 @t130) % 33.92/34.19 (step @p204 :rule instantiate :premises (@p259) :args (@t111)) % 33.92/34.19 (step-pop @p260 :rule scope :premises (@p204)) % 33.92/34.19 (step @p205 :rule process_scope :premises (@p260) :args (@t93)) % 33.92/34.19 (step @p207 :rule implies_elim :premises (@p205)) % 33.92/34.19 (step @p208 :rule reordering :premises (@p207) :args ((or @t93 @t131))) % 33.92/34.19 (step @p209 :rule chain_m_resolution :premises (@p208 @p105) :args (@t131 @t85 @t101)) % 33.92/34.19 (step @p210 :rule bool-double-not-elim :args (@t130)) % 33.92/34.19 (step @p211 :rule refl :args (@t132)) % 33.92/34.19 (step @p212 :rule refl :args (@t135)) % 33.92/34.19 (step @p213 :rule nary_cong :premises (@p212 @p211 @p210) :args ((or @t135 @t132 (not @t131)))) % 33.92/34.19 (step @p214 :rule cnf_equiv_pos2 :args (@t134)) % 33.92/34.19 (step @p215 :rule eq_resolve :premises (@p214 @p213)) % 33.92/34.19 (step @p216 :rule reordering :premises (@p215) :args ((or @t132 @t130 @t135))) % 33.92/34.19 (step @p217 :rule chain_m_resolution :premises (@p216 @p209 @p202) :args (@t132 @t136 (@list @t130 @t134))) % 33.92/34.19 (step @p218 :rule cnf_or_neg :args (@t137 0)) % 33.92/34.19 (step @p219 :rule chain_m_resolution :premises (@p218 @p217) :args (@t137 @t85 (@list @t132))) % 33.92/34.19 (step @p220 :rule cnf_equiv_pos2 :args (@t138)) % 33.92/34.19 (step @p221 :rule reordering :premises (@p220) :args ((or @t90 (not @t137) (not @t138)))) % 33.92/34.19 (step @p222 :rule chain_m_resolution :premises (@p221 @p219 @p145) :args (@t90 @t97 (@list @t137 @t138))) % 33.92/34.19 (step @p223 :rule cnf_or_neg :args (@t94 2)) % 33.92/34.19 (step @p224 :rule chain_m_resolution :premises (@p223 @p89) :args ((not @t91) @t95 @t96)) % 33.92/34.19 (step @p225 :rule cnf_and_neg :args (@t91)) % 33.92/34.19 (step @p226 :rule chain_m_resolution :premises (@p225 @p224 @p222) :args ((not @t88) @t136 (@list @t91 @t90))) % 33.92/34.19 (step @p227 :rule cnf_equiv_pos2 :args (@t141)) % 33.92/34.19 (step @p228 :rule reordering :premises (@p227) :args ((or @t88 @t142 (not @t141)))) % 33.92/34.19 (step @p229 :rule chain_m_resolution :premises (@p228 @p226 @p144) :args (@t142 @t136 (@list @t88 @t141))) % 33.92/34.19 (step @p230 :rule cnf_or_neg :args (@t140 1)) % 33.92/34.19 (step @p231 :rule chain_m_resolution :premises (@p230 @p229) :args ((not @t139) @t95 (@list @t140))) % 33.92/34.19 (step @p232 :rule bool-double-not-elim :args (@t98)) % 33.92/34.19 (step @p233 :rule refl :args (@t139)) % 33.92/34.19 (step @p234 :rule refl :args (@t144)) % 33.92/34.19 (step @p235 :rule nary_cong :premises (@p234 @p233 @p232) :args ((or @t144 @t139 (not @t100)))) % 33.92/34.19 (step @p236 :rule cnf_equiv_pos2 :args (@t143)) % 33.92/34.19 (step @p237 :rule eq_resolve :premises (@p236 @p235)) % 33.92/34.19 (step @p238 :rule reordering :premises (@p237) :args ((or @t139 @t98 @t144))) % 33.92/34.19 (step @p239 :rule chain_m_resolution :premises (@p238 @p231 @p112) :args (@t144 (@list true true) (@list @t139 @t98))) % 33.92/34.19 (step @p240 :rule eq-symm :args (@t100 @t139)) % 33.92/34.19 (step @p241 :rule cong :premises (@p64 @p240) :args ((=> @t78 @t145))) % 33.92/34.19 (assume-push @p261 @t78) % 33.92/34.19 (step @p243 :rule instantiate :premises (@p99) :args (@t111)) % 33.92/34.19 (step-pop @p262 :rule scope :premises (@p243)) % 33.92/34.19 (step @p244 :rule process_scope :premises (@p262) :args (@t145)) % 33.92/34.19 (step @p246 :rule eq_resolve :premises (@p244 @p241)) % 33.92/34.19 (step @p247 :rule implies_elim :premises (@p246)) % 33.92/34.19 (step @p248 false :rule chain_m_resolution :premises (@p247 @p239 @p99) :args (false @t136 (@list @t143 @t78))) % 33.92/34.19 ) % 33.92/34.19 % SZS output end Proof % 33.92/34.19 % cvc5 exiting %------------------------------------------------------------------------------