%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU046+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:50:30 AM UTC 2026 % Result : Theorem 33.84s 34.10s % Output : Proof 33.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU046+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n017.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:23:46 EDT 2026 % 0.16/0.34 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 33.84/34.10 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.84/34.10 --- Run --no-e-matching --full-saturate-quant at 6... % 33.84/34.10 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.84/34.10 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.84/34.10 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.84/34.10 % SZS status Theorem % 33.84/34.10 % SZS output start Proof % 33.84/34.10 ( % 33.84/34.10 (declare-sort $$unsorted 0) % 33.84/34.10 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 33.84/34.10 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 33.84/34.10 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 33.84/34.10 (declare-const tptp.function (-> $$unsorted Bool)) % 33.84/34.10 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 33.84/34.10 (declare-const tptp.empty_set $$unsorted) % 33.84/34.10 (declare-const tptp.relation (-> $$unsorted Bool)) % 33.84/34.10 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 33.84/34.10 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 33.84/34.10 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 33.84/34.10 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 33.84/34.10 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 33.84/34.10 (declare-const tptp.empty (-> $$unsorted Bool)) % 33.84/34.10 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 33.84/34.10 (define @t1 () (@var "A" $$unsorted)) % 33.84/34.10 (define @t2 () (@var "B" $$unsorted)) % 33.84/34.10 (define @t3 () (tptp.in @t1 @t2)) % 33.84/34.10 (define @t4 () (@list @t1 @t2)) % 33.84/34.10 (define @t5 () (tptp.function @t1)) % 33.84/34.10 (define @t6 () (tptp.empty @t1)) % 33.84/34.10 (define @t7 () (@list @t1)) % 33.84/34.10 (define @t8 () (tptp.relation @t1)) % 33.84/34.10 (define @t9 () (and @t8 @t5 (tptp.one_to_one @t1))) % 33.84/34.10 (define @t10 () (and @t8 @t6 @t5)) % 33.84/34.10 (define @t11 () (@var "C" $$unsorted)) % 33.84/34.10 (define @t12 () (tptp.in @t11 @t2)) % 33.84/34.10 (define @t13 () (tptp.in @t11 @t1)) % 33.84/34.10 (define @t14 () (@list @t11)) % 33.84/34.10 (define @t15 () (forall @t14 (=> @t13 @t12))) % 33.84/34.10 (define @t16 () (tptp.subset @t1 @t2)) % 33.84/34.10 (define @t17 () (= @t16 @t15)) % 33.84/34.10 (define @t18 () (forall @t4 @t17)) % 33.84/34.10 (define @t19 () (tptp.relation_rng_restriction @t1 @t2)) % 33.84/34.10 (define @t20 () (tptp.relation @t19)) % 33.84/34.10 (define @t21 () (tptp.relation @t2)) % 33.84/34.10 (define @t22 () (forall @t4 (=> @t21 @t20))) % 33.84/34.10 (define @t23 () (@list @t2)) % 33.84/34.10 (define @t24 () (tptp.relation tptp.empty_set)) % 33.84/34.10 (define @t25 () (tptp.empty tptp.empty_set)) % 33.84/34.10 (define @t26 () (tptp.powerset @t1)) % 33.84/34.10 (define @t27 () (and @t20 (tptp.function @t19))) % 33.84/34.10 (define @t28 () (tptp.function @t2)) % 33.84/34.10 (define @t29 () (and @t21 @t28)) % 33.84/34.10 (define @t30 () (forall @t4 (=> @t29 @t27))) % 33.84/34.10 (define @t31 () (tptp.relation_dom @t1)) % 33.84/34.10 (define @t32 () (tptp.empty @t31)) % 33.84/34.10 (define @t33 () (not @t6)) % 33.84/34.10 (define @t34 () (and @t33 @t8)) % 33.84/34.10 (define @t35 () (tptp.relation_rng @t1)) % 33.84/34.10 (define @t36 () (tptp.empty @t35)) % 33.84/34.10 (define @t37 () (tptp.empty @t2)) % 33.84/34.10 (define @t38 () (tptp.element @t2 @t26)) % 33.84/34.10 (define @t39 () (tptp.subset (tptp.relation_rng @t19) (tptp.relation_rng @t2))) % 33.84/34.10 (define @t40 () (forall @t4 (=> @t21 @t39))) % 33.84/34.10 (define @t41 () (tptp.element @t1 @t2)) % 33.84/34.10 (define @t42 () (tptp.element @t2 (tptp.powerset @t11))) % 33.84/34.10 (define @t43 () (@list @t1 @t2 @t11)) % 33.84/34.10 (define @t44 () (@var "D" $$unsorted)) % 33.84/34.10 (define @t45 () (tptp.apply @t11 @t44)) % 33.84/34.10 (define @t46 () (tptp.apply @t2 @t44)) % 33.84/34.10 (define @t47 () (tptp.relation_dom @t2)) % 33.84/34.10 (define @t48 () (tptp.in @t44 @t47)) % 33.84/34.10 (define @t49 () (=> @t48 (= @t46 @t45))) % 33.84/34.10 (define @t50 () (@list @t44)) % 33.84/34.10 (define @t51 () (forall @t50 @t49)) % 33.84/34.10 (define @t52 () (forall @t50 (= @t48 (and (tptp.in @t44 (tptp.relation_dom @t11)) (tptp.in @t45 @t1))))) % 33.84/34.10 (define @t53 () (and @t52 @t51)) % 33.84/34.10 (define @t54 () (= @t2 (tptp.relation_rng_restriction @t1 @t11))) % 33.84/34.10 (define @t55 () (= @t54 @t53)) % 33.84/34.10 (define @t56 () (tptp.function @t11)) % 33.84/34.10 (define @t57 () (tptp.relation @t11)) % 33.84/34.10 (define @t58 () (and @t57 @t56)) % 33.84/34.10 (define @t59 () (=> @t58 @t55)) % 33.84/34.10 (define @t60 () (forall @t14 @t59)) % 33.84/34.10 (define @t61 () (=> @t29 @t60)) % 33.84/34.10 (define @t62 () (forall @t4 @t61)) % 33.84/34.10 (define @t63 () (and (tptp.subset (tptp.relation_dom @t19) @t47) @t39)) % 33.84/34.10 (define @t64 () (forall @t4 (=> @t29 @t63))) % 33.84/34.10 (define @t65 () (not @t64)) % 33.84/34.10 (define @t66 () (not @t28)) % 33.84/34.10 (define @t67 () (not @t21)) % 33.84/34.10 (define @t68 () (or @t67 @t66 @t63)) % 33.84/34.10 (define @t69 () (forall @t4 @t68)) % 33.84/34.10 (define @t70 () (@quantifiers_skolemize @t69 1)) % 33.84/34.10 (define @t71 () (tptp.relation_dom @t70)) % 33.84/34.10 (define @t72 () (@quantifiers_skolemize @t69 0)) % 33.84/34.10 (define @t73 () (tptp.relation_rng_restriction @t72 @t70)) % 33.84/34.10 (define @t74 () (tptp.relation_dom @t73)) % 33.84/34.10 (define @t75 () (@list @t72 @t70)) % 33.84/34.10 (define @t76 () (or @t67 @t66)) % 33.84/34.10 (define @t77 () (not @t29)) % 33.84/34.10 (define @t78 () (tptp.relation @t70)) % 33.84/34.10 (define @t79 () (tptp.subset (tptp.relation_rng @t73) (tptp.relation_rng @t70))) % 33.84/34.10 (define @t80 () (tptp.subset @t74 @t71)) % 33.84/34.10 (define @t81 () (and @t80 @t79)) % 33.84/34.10 (define @t82 () (tptp.function @t70)) % 33.84/34.10 (define @t83 () (not @t82)) % 33.84/34.10 (define @t84 () (not @t78)) % 33.84/34.10 (define @t85 () (or @t84 @t83 @t81)) % 33.84/34.10 (define @t86 () (@list true)) % 33.84/34.10 (define @t87 () (@list @t85)) % 33.84/34.10 (define @t88 () (or @t84 @t79)) % 33.84/34.10 (define @t89 () (@list false false)) % 33.84/34.10 (define @t90 () (@list true false)) % 33.84/34.10 (define @t91 () (forall @t14 (or (not (tptp.in @t11 @t74)) (tptp.in @t11 @t71)))) % 33.84/34.10 (define @t92 () (= @t80 @t91)) % 33.84/34.10 (define @t93 () (not @t91)) % 33.84/34.10 (define @t94 () (@quantifiers_skolemize @t91 0)) % 33.84/34.10 (define @t95 () (tptp.in @t94 @t74)) % 33.84/34.10 (define @t96 () (tptp.in @t94 @t71)) % 33.84/34.10 (define @t97 () (not @t95)) % 33.84/34.10 (define @t98 () (or @t97 @t96)) % 33.84/34.10 (define @t99 () (@list @t98)) % 33.84/34.10 (define @t100 () (and @t96 (tptp.in (tptp.apply @t70 @t94) @t72))) % 33.84/34.10 (define @t101 () (not @t100)) % 33.84/34.10 (define @t102 () (@var "BOUND_VARIABLE_7764" $$unsorted)) % 33.84/34.10 (define @t103 () (tptp.apply @t102 @t44)) % 33.84/34.10 (define @t104 () (not @t48)) % 33.84/34.10 (define @t105 () (or @t104 (= @t103 @t46))) % 33.84/34.10 (define @t106 () (forall @t50 @t105)) % 33.84/34.10 (define @t107 () (forall @t50 (= @t48 (and (tptp.in @t44 (tptp.relation_dom @t102)) (tptp.in @t103 @t1))))) % 33.84/34.10 (define @t108 () (and @t107 @t106)) % 33.84/34.10 (define @t109 () (= @t2 (tptp.relation_rng_restriction @t1 @t102))) % 33.84/34.10 (define @t110 () (= @t109 @t108)) % 33.84/34.10 (define @t111 () (not (tptp.function @t102))) % 33.84/34.10 (define @t112 () (not (tptp.relation @t102))) % 33.84/34.10 (define @t113 () (or @t67 @t66 @t112 @t111 @t110)) % 33.84/34.10 (define @t114 () (or @t112 @t111 @t110)) % 33.84/34.10 (define @t115 () (or @t67 @t66 @t114)) % 33.84/34.10 (define @t116 () (@list @t1 @t2 @t102)) % 33.84/34.10 (define @t117 () (forall @t116 @t115)) % 33.84/34.10 (define @t118 () (@list @t102)) % 33.84/34.10 (define @t119 () (forall @t118 @t115)) % 33.84/34.10 (define @t120 () (forall @t118 @t114)) % 33.84/34.10 (define @t121 () (or @t67 @t66 @t120)) % 33.84/34.10 (define @t122 () (= @t45 @t46)) % 33.84/34.10 (define @t123 () (= @t54 (and @t52 (forall @t50 (or @t104 @t122))))) % 33.84/34.10 (define @t124 () (not @t56)) % 33.84/34.10 (define @t125 () (not @t57)) % 33.84/34.10 (define @t126 () (or @t125 @t124 @t123)) % 33.84/34.10 (define @t127 () (forall @t14 @t126)) % 33.84/34.10 (define @t128 () (or @t67 @t66 @t127)) % 33.84/34.10 (define @t129 () (tptp.apply @t73 @t44)) % 33.84/34.10 (define @t130 () (tptp.apply @t70 @t44)) % 33.84/34.10 (define @t131 () (tptp.in @t44 @t74)) % 33.84/34.10 (define @t132 () (not @t131)) % 33.84/34.10 (define @t133 () (and (tptp.in @t44 @t71) (tptp.in @t130 @t72))) % 33.84/34.10 (define @t134 () (forall @t50 (= @t133 @t131))) % 33.84/34.10 (define @t135 () (and @t134 (forall @t50 (or @t132 (= @t130 @t129))))) % 33.84/34.10 (define @t136 () (or @t132 (= @t129 @t130))) % 33.84/34.10 (define @t137 () (forall @t50 @t136)) % 33.84/34.10 (define @t138 () (forall @t50 (= @t131 @t133))) % 33.84/34.10 (define @t139 () (and @t138 @t137)) % 33.84/34.10 (define @t140 () (= (= @t73 @t73) @t139)) % 33.84/34.10 (define @t141 () (tptp.function @t73)) % 33.84/34.10 (define @t142 () (not @t141)) % 33.84/34.10 (define @t143 () (tptp.relation @t73)) % 33.84/34.10 (define @t144 () (not @t143)) % 33.84/34.10 (define @t145 () (or @t144 @t142 @t84 @t83 @t140)) % 33.84/34.10 (define @t146 () (forall @t116 (or @t67 @t66 @t112 @t111 (= @t109 (and @t107 (forall @t50 (or @t104 (= @t46 @t103)))))))) % 33.84/34.10 (define @t147 () (or @t144 @t142 @t84 @t83 @t135)) % 33.84/34.10 (define @t148 () (@list false)) % 33.84/34.10 (define @t149 () (and @t143 @t141)) % 33.84/34.10 (define @t150 () (or @t84 @t83 @t149)) % 33.84/34.10 (define @t151 () (or @t84 @t143)) % 33.84/34.10 (define @t152 () (= @t100 @t95)) % 33.84/34.10 (define @t153 () (= @t95 @t100)) % 33.84/34.10 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 33.84/34.10 (assume @p2 (forall @t7 (=> @t6 @t5))) % 33.84/34.10 (assume @p3 (forall @t7 (=> @t6 @t8))) % 33.84/34.10 (assume @p4 (forall @t7 (=> @t10 @t9))) % 33.84/34.10 (assume @p5 @t18) % 33.84/34.10 (assume @p6 @t22) % 33.84/34.10 (assume @p7 (forall @t7 (exists @t23 (tptp.element @t2 @t1)))) % 33.84/34.10 (assume @p8 (and @t25 @t24 (tptp.relation_empty_yielding tptp.empty_set))) % 33.84/34.10 (assume @p9 (forall @t7 (not (tptp.empty @t26)))) % 33.84/34.10 (assume @p10 @t25) % 33.84/34.10 (assume @p11 (and @t25 @t24)) % 33.84/34.10 (assume @p12 @t30) % 33.84/34.10 (assume @p13 (forall @t7 (=> @t34 (not @t32)))) % 33.84/34.10 (assume @p14 (forall @t7 (=> @t34 (not @t36)))) % 33.84/34.10 (assume @p15 (forall @t7 (=> @t6 (and @t32 (tptp.relation @t31))))) % 33.84/34.10 (assume @p16 (forall @t7 (=> @t6 (and @t36 (tptp.relation @t35))))) % 33.84/34.10 (assume @p17 (exists @t7 (and @t8 @t5))) % 33.84/34.10 (assume @p18 (exists @t7 (and @t6 @t8))) % 33.84/34.10 (assume @p19 (forall @t7 (=> @t33 (exists @t23 (and @t38 (not @t37)))))) % 33.84/34.10 (assume @p20 (exists @t7 @t6)) % 33.84/34.10 (assume @p21 (exists @t7 @t10)) % 33.84/34.10 (assume @p22 (exists @t7 @t34)) % 33.84/34.10 (assume @p23 (forall @t7 (exists @t23 (and @t38 @t37)))) % 33.84/34.10 (assume @p24 (exists @t7 @t33)) % 33.84/34.10 (assume @p25 (exists @t7 @t9)) % 33.84/34.10 (assume @p26 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 33.84/34.10 (assume @p27 (forall @t4 (tptp.subset @t1 @t1))) % 33.84/34.10 (assume @p28 @t40) % 33.84/34.10 (assume @p29 (forall @t4 (=> @t3 @t41))) % 33.84/34.10 (assume @p30 (forall @t4 (=> @t41 (or @t37 @t3)))) % 33.84/34.10 (assume @p31 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) @t16))) % 33.84/34.10 (assume @p32 (forall @t43 (=> (and @t3 @t42) (tptp.element @t1 @t11)))) % 33.84/34.10 (assume @p33 (forall @t43 (not (and @t3 @t42 (tptp.empty @t11))))) % 33.84/34.10 (assume @p34 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 33.84/34.10 (assume @p35 (forall @t4 (not (and @t3 @t37)))) % 33.84/34.10 (assume @p36 @t62) % 33.84/34.10 (assume @p37 @t65) % 33.84/34.10 (assume @p38 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t37)))) % 33.84/34.10 (assume @p39 true) % 33.84/34.10 (step @p40 :rule bool-impl-elim :args (@t13 @t12)) % 33.84/34.10 (step @p41 :rule cong :premises (@p40) :args (@t15)) % 33.84/34.10 (step @p42 :rule refl :args (@t16)) % 33.84/34.10 (step @p43 :rule cong :premises (@p42 @p41) :args (@t17)) % 33.84/34.10 (step @p44 :rule cong :premises (@p43) :args (@t18)) % 33.84/34.10 (step @p45 :rule eq_resolve :premises (@p5 @p44)) % 33.84/34.10 (step @p46 :rule instantiate :premises (@p45) :args ((@list @t74 @t71))) % 33.84/34.10 (step @p47 :rule bool-impl-elim :args (@t21 @t39)) % 33.84/34.10 (step @p48 :rule cong :premises (@p47) :args (@t40)) % 33.84/34.10 (step @p49 :rule eq_resolve :premises (@p28 @p48)) % 33.84/34.10 (step @p50 :rule instantiate :premises (@p49) :args (@t75)) % 33.84/34.10 (step @p51 :rule aci_norm :args ((= (or @t76 @t63) @t68))) % 33.84/34.10 (step @p52 :rule refl :args (@t63)) % 33.84/34.10 (step @p53 :rule bool-and-de-morgan :args (@t21 @t28 true)) % 33.84/34.10 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or @t77 @t63))) % 33.84/34.10 (step @p55 :rule trans :premises (@p54 @p51)) % 33.84/34.10 (step @p56 :rule bool-impl-elim :args (@t29 @t63)) % 33.84/34.10 (step @p57 :rule trans :premises (@p56 @p55)) % 33.84/34.10 (step @p58 :rule cong :premises (@p57) :args (@t64)) % 33.84/34.10 (step @p59 :rule cong :premises (@p58) :args (@t65)) % 33.84/34.10 (step @p60 :rule eq_resolve :premises (@p37 @p59)) % 33.84/34.10 (step @p61 :rule skolemize :premises (@p60)) % 33.84/34.10 (step @p62 :rule bool-double-not-elim :args (@t78)) % 33.84/34.10 (step @p63 :rule refl :args (@t85)) % 33.84/34.10 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or @t85 (not @t84)))) % 33.84/34.10 (step @p65 :rule cnf_or_neg :args (@t85 0)) % 33.84/34.10 (step @p66 :rule eq_resolve :premises (@p65 @p64)) % 33.84/34.10 (step @p67 :rule reordering :premises (@p66) :args ((or @t78 @t85))) % 33.84/34.10 (step @p68 :rule chain_m_resolution :premises (@p67 @p61) :args (@t78 @t86 @t87)) % 33.84/34.10 (step @p69 :rule cnf_or_pos :args (@t88)) % 33.84/34.10 (step @p70 :rule reordering :premises (@p69) :args ((or @t84 @t79 (not @t88)))) % 33.84/34.10 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p50) :args (@t79 @t89 (@list @t78 @t88))) % 33.84/34.10 (step @p72 :rule cnf_or_neg :args (@t85 2)) % 33.84/34.10 (step @p73 :rule chain_m_resolution :premises (@p72 @p61) :args ((not @t81) @t86 @t87)) % 33.84/34.10 (step @p74 :rule cnf_and_neg :args (@t81)) % 33.84/34.10 (step @p75 :rule chain_m_resolution :premises (@p74 @p73 @p71) :args ((not @t80) @t90 (@list @t81 @t79))) % 33.84/34.10 (step @p76 :rule cnf_equiv_pos2 :args (@t92)) % 33.84/34.10 (step @p77 :rule reordering :premises (@p76) :args ((or @t80 @t93 (not @t92)))) % 33.84/34.10 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p46) :args (@t93 @t90 (@list @t80 @t92))) % 33.84/34.10 (step @p79 :rule skolemize :premises (@p78)) % 33.84/34.10 (step @p80 :rule bool-double-not-elim :args (@t95)) % 33.84/34.10 (step @p81 :rule refl :args (@t98)) % 33.84/34.10 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t98 (not @t97)))) % 33.84/34.10 (step @p83 :rule cnf_or_neg :args (@t98 0)) % 33.84/34.10 (step @p84 :rule eq_resolve :premises (@p83 @p82)) % 33.84/34.10 (step @p85 :rule reordering :premises (@p84) :args ((or @t95 @t98))) % 33.84/34.10 (step @p86 :rule chain_m_resolution :premises (@p85 @p79) :args (@t95 @t86 @t99)) % 33.84/34.10 (step @p87 :rule cnf_or_neg :args (@t98 1)) % 33.84/34.10 (step @p88 :rule chain_m_resolution :premises (@p87 @p79) :args ((not @t96) @t86 @t99)) % 33.84/34.10 (step @p89 :rule cnf_and_pos :args (@t100 0)) % 33.84/34.10 (step @p90 :rule reordering :premises (@p89) :args ((or @t96 @t101))) % 33.84/34.10 (step @p91 :rule chain_m_resolution :premises (@p90 @p88) :args (@t101 @t86 (@list @t96))) % 33.84/34.10 (step @p92 :rule eq-symm :args (@t103 @t46)) % 33.84/34.10 (step @p93 :rule refl :args (@t104)) % 33.84/34.10 (step @p94 :rule nary_cong :premises (@p93 @p92) :args (@t105)) % 33.84/34.10 (step @p95 :rule cong :premises (@p94) :args (@t106)) % 33.84/34.10 (step @p96 :rule refl :args (@t107)) % 33.84/34.10 (step @p97 :rule nary_cong :premises (@p96 @p95) :args (@t108)) % 33.84/34.10 (step @p98 :rule refl :args (@t109)) % 33.84/34.10 (step @p99 :rule cong :premises (@p98 @p97) :args (@t110)) % 33.84/34.10 (step @p100 :rule refl :args (@t111)) % 33.84/34.10 (step @p101 :rule refl :args (@t112)) % 33.84/34.10 (step @p102 :rule refl :args (@t66)) % 33.84/34.10 (step @p103 :rule refl :args (@t67)) % 33.84/34.10 (step @p104 :rule nary_cong :premises (@p103 @p102 @p101 @p100 @p99) :args (@t113)) % 33.84/34.10 (step @p105 :rule aci_norm :args ((= @t115 @t113))) % 33.84/34.10 (step @p106 :rule trans :premises (@p105 @p104)) % 33.84/34.10 (step @p107 :rule cong :premises (@p106) :args (@t117)) % 33.84/34.10 (step @p108 :rule quant-merge-prenex :args ((= (forall @t4 @t119) @t117))) % 33.84/34.10 (step @p109 :rule alpha_equiv :args (@t120 (@list @t102) (@list @t11))) % 33.84/34.10 (step @p110 :rule refl :args (@t66)) % 33.84/34.10 (step @p111 :rule refl :args (@t67)) % 33.84/34.10 (step @p112 :rule nary_cong :premises (@p111 @p110 @p109) :args (@t121)) % 33.84/34.10 (step @p113 :rule quant-miniscope-or :args ((= @t119 @t121))) % 33.84/34.10 (step @p114 :rule trans :premises (@p113 @p112)) % 33.84/34.10 (step @p115 :rule symm :premises (@p114)) % 33.84/34.10 (step @p116 :rule cong :premises (@p115) :args ((forall @t4 @t128))) % 33.84/34.10 (step @p117 :rule trans :premises (@p116 @p108)) % 33.84/34.10 (step @p118 :rule trans :premises (@p117 @p107)) % 33.84/34.10 (step @p119 :rule aci_norm :args ((= (or @t76 @t127) @t128))) % 33.84/34.10 (step @p120 :rule refl :args (@t127)) % 33.84/34.10 (step @p121 :rule nary_cong :premises (@p53 @p120) :args ((or @t77 @t127))) % 33.84/34.10 (step @p122 :rule trans :premises (@p121 @p119)) % 33.84/34.10 (step @p123 :rule bool-impl-elim :args (@t29 @t127)) % 33.84/34.10 (step @p124 :rule trans :premises (@p123 @p122)) % 33.84/34.10 (step @p125 :rule cong :premises (@p124) :args ((forall @t4 (=> @t29 @t127)))) % 33.84/34.10 (step @p126 :rule trans :premises (@p125 @p118)) % 33.84/34.10 (step @p127 :rule aci_norm :args ((= (or (or @t125 @t124) @t123) @t126))) % 33.84/34.10 (step @p128 :rule refl :args (@t123)) % 33.84/34.10 (step @p129 :rule bool-and-de-morgan :args (@t57 @t56 true)) % 33.84/34.10 (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((or (not @t58) @t123))) % 33.84/34.10 (step @p131 :rule trans :premises (@p130 @p127)) % 33.84/34.10 (step @p132 :rule bool-impl-elim :args (@t58 @t123)) % 33.84/34.10 (step @p133 :rule trans :premises (@p132 @p131)) % 33.84/34.10 (step @p134 :rule cong :premises (@p133) :args ((forall @t14 (=> @t58 @t123)))) % 33.84/34.10 (step @p135 :rule bool-impl-elim :args (@t48 @t122)) % 33.84/34.10 (step @p136 :rule cong :premises (@p135) :args ((forall @t50 (=> @t48 @t122)))) % 33.84/34.10 (step @p137 :rule eq-symm :args (@t46 @t45)) % 33.84/34.10 (step @p138 :rule refl :args (@t48)) % 33.84/34.10 (step @p139 :rule cong :premises (@p138 @p137) :args (@t49)) % 33.84/34.10 (step @p140 :rule cong :premises (@p139) :args (@t51)) % 33.84/34.10 (step @p141 :rule trans :premises (@p140 @p136)) % 33.84/34.10 (step @p142 :rule refl :args (@t52)) % 33.84/34.10 (step @p143 :rule nary_cong :premises (@p142 @p141) :args (@t53)) % 33.84/34.10 (step @p144 :rule refl :args (@t54)) % 33.84/34.10 (step @p145 :rule cong :premises (@p144 @p143) :args (@t55)) % 33.84/34.10 (step @p146 :rule refl :args (@t58)) % 33.84/34.10 (step @p147 :rule cong :premises (@p146 @p145) :args (@t59)) % 33.84/34.10 (step @p148 :rule cong :premises (@p147) :args (@t60)) % 33.84/34.10 (step @p149 :rule trans :premises (@p148 @p134)) % 33.84/34.10 (step @p150 :rule refl :args (@t29)) % 33.84/34.10 (step @p151 :rule cong :premises (@p150 @p149) :args (@t61)) % 33.84/34.10 (step @p152 :rule cong :premises (@p151) :args (@t62)) % 33.84/34.10 (step @p153 :rule trans :premises (@p152 @p126)) % 33.84/34.10 (step @p154 :rule eq_resolve :premises (@p36 @p153)) % 33.84/34.10 (step @p155 :rule bool-eq-true :args (@t135)) % 33.84/34.10 (step @p156 :rule eq-symm :args (true @t135)) % 33.84/34.10 (step @p157 :rule trans :premises (@p156 @p155)) % 33.84/34.10 (step @p158 :rule eq-symm :args (@t129 @t130)) % 33.84/34.10 (step @p159 :rule refl :args (@t132)) % 33.84/34.10 (step @p160 :rule nary_cong :premises (@p159 @p158) :args (@t136)) % 33.84/34.10 (step @p161 :rule cong :premises (@p160) :args (@t137)) % 33.84/34.10 (step @p162 :rule eq-symm :args (@t131 @t133)) % 33.84/34.10 (step @p163 :rule cong :premises (@p162) :args (@t138)) % 33.84/34.10 (step @p164 :rule nary_cong :premises (@p163 @p161) :args (@t139)) % 33.84/34.10 (step @p165 :rule eq-refl :args (@t73)) % 33.84/34.10 (step @p166 :rule cong :premises (@p165 @p164) :args (@t140)) % 33.84/34.10 (step @p167 :rule trans :premises (@p166 @p157)) % 33.84/34.10 (step @p168 :rule refl :args (@t83)) % 33.84/34.10 (step @p169 :rule refl :args (@t84)) % 33.84/34.10 (step @p170 :rule refl :args (@t142)) % 33.84/34.10 (step @p171 :rule refl :args (@t144)) % 33.84/34.10 (step @p172 :rule nary_cong :premises (@p171 @p170 @p169 @p168 @p167) :args (@t145)) % 33.84/34.10 (step @p173 :rule refl :args (@t146)) % 33.84/34.10 (step @p174 :rule cong :premises (@p173 @p172) :args ((=> @t146 @t145))) % 33.84/34.10 (assume-push @p229 @t146) % 33.84/34.10 (step @p176 :rule instantiate :premises (@p154) :args ((@list @t72 @t73 @t70))) % 33.84/34.10 (step-pop @p230 :rule scope :premises (@p176)) % 33.84/34.10 (step @p177 :rule process_scope :premises (@p230) :args (@t145)) % 33.84/34.10 (step @p179 :rule eq_resolve :premises (@p177 @p174)) % 33.84/34.10 (step @p180 :rule implies_elim :premises (@p179)) % 33.84/34.10 (step @p181 :rule chain_m_resolution :premises (@p180 @p154) :args (@t147 @t148 (@list @t146))) % 33.84/34.10 (step @p182 :rule aci_norm :args ((= (or @t76 @t27) (or @t67 @t66 @t27)))) % 33.84/34.10 (step @p183 :rule refl :args (@t27)) % 33.84/34.10 (step @p184 :rule nary_cong :premises (@p53 @p183) :args ((or @t77 @t27))) % 33.84/34.10 (step @p185 :rule trans :premises (@p184 @p182)) % 33.84/34.10 (step @p186 :rule bool-impl-elim :args (@t29 @t27)) % 33.84/34.10 (step @p187 :rule trans :premises (@p186 @p185)) % 33.84/34.10 (step @p188 :rule cong :premises (@p187) :args (@t30)) % 33.84/34.10 (step @p189 :rule eq_resolve :premises (@p12 @p188)) % 33.84/34.10 (step @p190 :rule instantiate :premises (@p189) :args (@t75)) % 33.84/34.10 (step @p191 :rule bool-double-not-elim :args (@t82)) % 33.84/34.10 (step @p192 :rule nary_cong :premises (@p63 @p191) :args ((or @t85 (not @t83)))) % 33.84/34.10 (step @p193 :rule cnf_or_neg :args (@t85 1)) % 33.84/34.10 (step @p194 :rule eq_resolve :premises (@p193 @p192)) % 33.84/34.10 (step @p195 :rule reordering :premises (@p194) :args ((or @t82 @t85))) % 33.84/34.10 (step @p196 :rule chain_m_resolution :premises (@p195 @p61) :args (@t82 @t86 @t87)) % 33.84/34.10 (step @p197 :rule cnf_or_pos :args (@t150)) % 33.84/34.10 (step @p198 :rule reordering :premises (@p197) :args ((or @t84 @t83 @t149 (not @t150)))) % 33.84/34.10 (step @p199 :rule chain_m_resolution :premises (@p198 @p68 @p196 @p190) :args (@t149 (@list false false false) (@list @t78 @t82 @t150))) % 33.84/34.10 (step @p200 :rule cnf_and_pos :args (@t149 1)) % 33.84/34.10 (step @p201 :rule reordering :premises (@p200) :args ((or @t141 (not @t149)))) % 33.84/34.10 (step @p202 :rule chain_m_resolution :premises (@p201 @p199) :args (@t141 @t148 (@list @t149))) % 33.84/34.10 (step @p203 :rule bool-impl-elim :args (@t21 @t20)) % 33.84/34.10 (step @p204 :rule cong :premises (@p203) :args (@t22)) % 33.84/34.10 (step @p205 :rule eq_resolve :premises (@p6 @p204)) % 33.84/34.10 (step @p206 :rule instantiate :premises (@p205) :args (@t75)) % 33.84/34.10 (step @p207 :rule cnf_or_pos :args (@t151)) % 33.84/34.10 (step @p208 :rule reordering :premises (@p207) :args ((or @t84 @t143 (not @t151)))) % 33.84/34.10 (step @p209 :rule chain_m_resolution :premises (@p208 @p68 @p206) :args (@t143 @t89 (@list @t78 @t151))) % 33.84/34.10 (step @p210 :rule cnf_or_pos :args (@t147)) % 33.84/34.10 (step @p211 :rule reordering :premises (@p210) :args ((or @t84 @t83 @t144 @t142 @t135 (not @t147)))) % 33.84/34.10 (step @p212 :rule chain_m_resolution :premises (@p211 @p68 @p196 @p209 @p202 @p181) :args (@t135 (@list false false false false false) (@list @t78 @t82 @t143 @t141 @t147))) % 33.84/34.10 (step @p213 :rule cnf_and_pos :args (@t135 0)) % 33.84/34.10 (step @p214 :rule reordering :premises (@p213) :args ((or @t134 (not @t135)))) % 33.84/34.10 (step @p215 :rule chain_m_resolution :premises (@p214 @p212) :args (@t134 @t148 (@list @t135))) % 33.84/34.10 (step @p216 :rule eq-symm :args (@t100 @t95)) % 33.84/34.10 (step @p217 :rule refl :args (@t134)) % 33.84/34.10 (step @p218 :rule cong :premises (@p217 @p216) :args ((=> @t134 @t152))) % 33.84/34.10 (assume-push @p231 @t134) % 33.84/34.10 (step @p220 :rule instantiate :premises (@p215) :args ((@list @t94))) % 33.84/34.10 (step-pop @p232 :rule scope :premises (@p220)) % 33.84/34.10 (step @p221 :rule process_scope :premises (@p232) :args (@t152)) % 33.84/34.10 (step @p223 :rule eq_resolve :premises (@p221 @p218)) % 33.84/34.10 (step @p224 :rule implies_elim :premises (@p223)) % 33.84/34.10 (step @p225 :rule chain_m_resolution :premises (@p224 @p215) :args (@t153 @t148 (@list @t134))) % 33.84/34.10 (step @p226 :rule cnf_equiv_pos1 :args (@t153)) % 33.84/34.10 (step @p227 :rule reordering :premises (@p226) :args ((or @t97 @t100 (not @t153)))) % 33.84/34.10 (step @p228 false :rule chain_m_resolution :premises (@p227 @p225 @p91 @p86) :args (false (@list false true false) (@list @t153 @t100 @t95))) % 33.84/34.10 ) % 33.84/34.10 % SZS output end Proof % 33.84/34.11 % cvc5 exiting %------------------------------------------------------------------------------