%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU262+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 : n015.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 08:51:10 AM UTC 2026 % Result : Theorem 128.38s 128.75s % Output : Proof 128.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU262+1 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.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 16:49:04 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 128.38/128.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 128.38/128.75 --- Run --no-e-matching --full-saturate-quant at 6... % 128.38/128.75 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 128.38/128.75 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 128.38/128.75 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 128.38/128.75 --- Run --trigger-sel=max --full-saturate-quant at 15... % 128.38/128.75 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 128.38/128.75 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 128.38/128.75 --- Run --prenex-quant=none --full-saturate-quant at 30... % 128.38/128.75 % SZS status Theorem % 128.38/128.75 % SZS output start Proof % 128.38/128.75 ( % 128.38/128.75 (declare-sort $$unsorted 0) % 128.38/128.75 (declare-const tptp.empty (-> $$unsorted Bool)) % 128.38/128.75 (declare-const tptp.empty_set $$unsorted) % 128.38/128.75 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 128.38/128.75 (declare-const tptp.relation (-> $$unsorted Bool)) % 128.38/128.75 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 128.38/128.75 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 128.38/128.75 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 128.38/128.75 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 128.38/128.75 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 128.38/128.75 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 128.38/128.75 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 128.38/128.75 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 128.38/128.75 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 128.38/128.75 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 128.38/128.75 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 128.38/128.75 (define @t1 () (@var "A" $$unsorted)) % 128.38/128.75 (define @t2 () (@var "B" $$unsorted)) % 128.38/128.75 (define @t3 () (tptp.in @t1 @t2)) % 128.38/128.75 (define @t4 () (@list @t1 @t2)) % 128.38/128.75 (define @t5 () (@var "C" $$unsorted)) % 128.38/128.75 (define @t6 () (tptp.relation @t5)) % 128.38/128.75 (define @t7 () (tptp.element @t5 (tptp.powerset (tptp.cartesian_product2 @t1 @t2)))) % 128.38/128.75 (define @t8 () (@list @t1 @t2 @t5)) % 128.38/128.75 (define @t9 () (forall @t8 (=> @t7 @t6))) % 128.38/128.75 (define @t10 () (tptp.unordered_pair @t1 @t2)) % 128.38/128.75 (define @t11 () (tptp.in @t5 @t2)) % 128.38/128.75 (define @t12 () (tptp.in @t5 @t1)) % 128.38/128.75 (define @t13 () (@list @t5)) % 128.38/128.75 (define @t14 () (forall @t13 (=> @t12 @t11))) % 128.38/128.75 (define @t15 () (tptp.subset @t1 @t2)) % 128.38/128.75 (define @t16 () (= @t15 @t14)) % 128.38/128.75 (define @t17 () (forall @t4 @t16)) % 128.38/128.75 (define @t18 () (@var "D" $$unsorted)) % 128.38/128.75 (define @t19 () (tptp.ordered_pair @t5 @t18)) % 128.38/128.75 (define @t20 () (tptp.in @t19 @t1)) % 128.38/128.75 (define @t21 () (@list @t18)) % 128.38/128.75 (define @t22 () (exists @t21 @t20)) % 128.38/128.75 (define @t23 () (= @t11 @t22)) % 128.38/128.75 (define @t24 () (forall @t13 @t23)) % 128.38/128.75 (define @t25 () (= @t2 (tptp.relation_dom @t1))) % 128.38/128.75 (define @t26 () (= @t25 @t24)) % 128.38/128.75 (define @t27 () (@list @t2)) % 128.38/128.75 (define @t28 () (forall @t27 @t26)) % 128.38/128.75 (define @t29 () (tptp.relation @t1)) % 128.38/128.75 (define @t30 () (=> @t29 @t28)) % 128.38/128.75 (define @t31 () (@list @t1)) % 128.38/128.75 (define @t32 () (forall @t31 @t30)) % 128.38/128.75 (define @t33 () (tptp.ordered_pair @t18 @t5)) % 128.38/128.75 (define @t34 () (tptp.in @t33 @t1)) % 128.38/128.75 (define @t35 () (exists @t21 @t34)) % 128.38/128.75 (define @t36 () (= @t11 @t35)) % 128.38/128.75 (define @t37 () (forall @t13 @t36)) % 128.38/128.75 (define @t38 () (= @t2 (tptp.relation_rng @t1))) % 128.38/128.75 (define @t39 () (= @t38 @t37)) % 128.38/128.75 (define @t40 () (forall @t27 @t39)) % 128.38/128.75 (define @t41 () (=> @t29 @t40)) % 128.38/128.75 (define @t42 () (forall @t31 @t41)) % 128.38/128.75 (define @t43 () (tptp.ordered_pair @t1 @t2)) % 128.38/128.75 (define @t44 () (tptp.relation_of2_as_subset @t5 @t1 @t2)) % 128.38/128.75 (define @t45 () (forall @t8 (=> @t44 @t7))) % 128.38/128.75 (define @t46 () (tptp.relation_of2 @t5 @t1 @t2)) % 128.38/128.75 (define @t47 () (tptp.empty @t1)) % 128.38/128.75 (define @t48 () (and (tptp.subset (tptp.relation_dom @t5) @t1) (tptp.subset (tptp.relation_rng @t5) @t2))) % 128.38/128.75 (define @t49 () (forall @t8 (=> @t44 @t48))) % 128.38/128.75 (define @t50 () (not @t49)) % 128.38/128.75 (define @t51 () (tptp.element @t1 @t2)) % 128.38/128.75 (define @t52 () (tptp.empty @t2)) % 128.38/128.75 (define @t53 () (tptp.element @t1 (tptp.powerset @t2))) % 128.38/128.75 (define @t54 () (forall @t4 (= @t53 @t15))) % 128.38/128.75 (define @t55 () (tptp.element @t2 (tptp.powerset @t5))) % 128.38/128.75 (define @t56 () (not (forall @t21 (not @t34)))) % 128.38/128.75 (define @t57 () (forall @t27 (= @t38 (forall @t13 (= @t11 @t56))))) % 128.38/128.75 (define @t58 () (forall @t8 (or (not @t44) @t48))) % 128.38/128.75 (define @t59 () (@quantifiers_skolemize @t58 2)) % 128.38/128.75 (define @t60 () (@list @t59)) % 128.38/128.75 (define @t61 () (@quantifiers_skolemize @t58 1)) % 128.38/128.75 (define @t62 () (@quantifiers_skolemize @t58 0)) % 128.38/128.75 (define @t63 () (@list @t62 @t61 @t59)) % 128.38/128.75 (define @t64 () (tptp.relation_of2_as_subset @t59 @t62 @t61)) % 128.38/128.75 (define @t65 () (tptp.relation_rng @t59)) % 128.38/128.75 (define @t66 () (tptp.subset @t65 @t61)) % 128.38/128.75 (define @t67 () (tptp.relation_dom @t59)) % 128.38/128.75 (define @t68 () (tptp.subset @t67 @t62)) % 128.38/128.75 (define @t69 () (and @t68 @t66)) % 128.38/128.75 (define @t70 () (not @t64)) % 128.38/128.75 (define @t71 () (or @t70 @t69)) % 128.38/128.75 (define @t72 () (@list true)) % 128.38/128.75 (define @t73 () (@list @t71)) % 128.38/128.75 (define @t74 () (tptp.cartesian_product2 @t62 @t61)) % 128.38/128.75 (define @t75 () (tptp.element @t59 (tptp.powerset @t74))) % 128.38/128.75 (define @t76 () (or @t70 @t75)) % 128.38/128.75 (define @t77 () (@list false false)) % 128.38/128.75 (define @t78 () (tptp.relation @t59)) % 128.38/128.75 (define @t79 () (not @t75)) % 128.38/128.75 (define @t80 () (or @t79 @t78)) % 128.38/128.75 (define @t81 () (not (forall @t21 (not (tptp.in @t33 @t59))))) % 128.38/128.75 (define @t82 () (forall @t27 (= (= @t2 @t65) (forall @t13 (= @t11 @t81))))) % 128.38/128.75 (define @t83 () (not @t78)) % 128.38/128.75 (define @t84 () (or @t83 @t82)) % 128.38/128.75 (define @t85 () (tptp.in @t5 @t65)) % 128.38/128.75 (define @t86 () (forall @t13 (= @t81 @t85))) % 128.38/128.75 (define @t87 () (forall @t13 (= @t85 @t81))) % 128.38/128.75 (define @t88 () (= (= @t65 @t65) @t87)) % 128.38/128.75 (define @t89 () (@list false)) % 128.38/128.75 (define @t90 () (forall @t13 (or (not @t85) (tptp.in @t5 @t61)))) % 128.38/128.75 (define @t91 () (@quantifiers_skolemize @t90 0)) % 128.38/128.75 (define @t92 () (forall @t21 (not (tptp.in (tptp.ordered_pair @t18 @t91) @t59)))) % 128.38/128.75 (define @t93 () (not @t92)) % 128.38/128.75 (define @t94 () (tptp.in @t91 @t65)) % 128.38/128.75 (define @t95 () (= @t93 @t94)) % 128.38/128.75 (define @t96 () (= @t94 @t93)) % 128.38/128.75 (define @t97 () (tptp.in @t5 @t67)) % 128.38/128.75 (define @t98 () (forall @t13 (or (not @t97) (tptp.in @t5 @t62)))) % 128.38/128.75 (define @t99 () (@quantifiers_skolemize @t98 0)) % 128.38/128.75 (define @t100 () (tptp.in @t99 @t67)) % 128.38/128.75 (define @t101 () (tptp.in @t99 @t62)) % 128.38/128.75 (define @t102 () (not @t100)) % 128.38/128.75 (define @t103 () (or @t102 @t101)) % 128.38/128.75 (define @t104 () (not (forall @t21 (not @t20)))) % 128.38/128.75 (define @t105 () (forall @t27 (= @t25 (forall @t13 (= @t11 @t104))))) % 128.38/128.75 (define @t106 () (not (forall @t21 (not (tptp.in @t19 @t59))))) % 128.38/128.75 (define @t107 () (forall @t27 (= (= @t2 @t67) (forall @t13 (= @t11 @t106))))) % 128.38/128.75 (define @t108 () (or @t83 @t107)) % 128.38/128.75 (define @t109 () (forall @t13 (= @t97 @t106))) % 128.38/128.75 (define @t110 () (= (= @t67 @t67) @t109)) % 128.38/128.75 (define @t111 () (forall @t21 (not (tptp.in (tptp.ordered_pair @t99 @t18) @t59)))) % 128.38/128.75 (define @t112 () (not @t111)) % 128.38/128.75 (define @t113 () (= @t100 @t112)) % 128.38/128.75 (define @t114 () (@quantifiers_skolemize @t111 0)) % 128.38/128.75 (define @t115 () (and @t101 (tptp.in @t114 @t61))) % 128.38/128.75 (define @t116 () (tptp.ordered_pair @t99 @t114)) % 128.38/128.75 (define @t117 () (tptp.in @t116 @t59)) % 128.38/128.75 (define @t118 () (not @t117)) % 128.38/128.75 (define @t119 () (not @t118)) % 128.38/128.75 (define @t120 () (tptp.in @t116 @t74)) % 128.38/128.75 (define @t121 () (= @t120 @t115)) % 128.38/128.75 (define @t122 () (@list @t59 @t74)) % 128.38/128.75 (define @t123 () (tptp.subset @t59 @t74)) % 128.38/128.75 (define @t124 () (forall @t4 (= @t15 @t53))) % 128.38/128.75 (define @t125 () (= @t123 @t75)) % 128.38/128.75 (define @t126 () (= @t75 @t123)) % 128.38/128.75 (define @t127 () (forall @t13 (or (not (tptp.in @t5 @t59)) (tptp.in @t5 @t74)))) % 128.38/128.75 (define @t128 () (= @t123 @t127)) % 128.38/128.75 (define @t129 () (or @t118 @t120)) % 128.38/128.75 (define @t130 () (not @t103)) % 128.38/128.75 (define @t131 () (not @t98)) % 128.38/128.75 (define @t132 () (= @t68 @t98)) % 128.38/128.75 (define @t133 () (@list true false)) % 128.38/128.75 (define @t134 () (= @t66 @t90)) % 128.38/128.75 (define @t135 () (not @t90)) % 128.38/128.75 (define @t136 () (tptp.in @t91 @t61)) % 128.38/128.75 (define @t137 () (not @t94)) % 128.38/128.75 (define @t138 () (or @t137 @t136)) % 128.38/128.75 (define @t139 () (not @t138)) % 128.38/128.75 (define @t140 () (@list @t138)) % 128.38/128.75 (define @t141 () (@quantifiers_skolemize @t92 0)) % 128.38/128.75 (define @t142 () (tptp.ordered_pair @t141 @t91)) % 128.38/128.75 (define @t143 () (tptp.in @t142 @t59)) % 128.38/128.75 (define @t144 () (not @t143)) % 128.38/128.75 (define @t145 () (not @t144)) % 128.38/128.75 (define @t146 () (and (tptp.in @t141 @t62) @t136)) % 128.38/128.75 (define @t147 () (not @t146)) % 128.38/128.75 (define @t148 () (tptp.in @t142 @t74)) % 128.38/128.75 (define @t149 () (= @t148 @t146)) % 128.38/128.75 (define @t150 () (not @t148)) % 128.38/128.75 (define @t151 () (or @t144 @t148)) % 128.38/128.75 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 128.38/128.75 (assume @p2 @t9) % 128.38/128.75 (assume @p3 (forall @t4 (= @t10 (tptp.unordered_pair @t2 @t1)))) % 128.38/128.75 (assume @p4 @t17) % 128.38/128.75 (assume @p5 @t32) % 128.38/128.75 (assume @p6 @t42) % 128.38/128.75 (assume @p7 (forall @t4 (= @t43 (tptp.unordered_pair @t10 (tptp.singleton @t1))))) % 128.38/128.75 (assume @p8 true) % 128.38/128.75 (assume @p9 @t45) % 128.38/128.75 (assume @p10 (forall @t4 (exists @t13 @t46))) % 128.38/128.75 (assume @p11 (forall @t31 (exists @t27 (tptp.element @t2 @t1)))) % 128.38/128.75 (assume @p12 (forall @t4 (exists @t13 @t44))) % 128.38/128.75 (assume @p13 (tptp.empty tptp.empty_set)) % 128.38/128.75 (assume @p14 (forall @t4 (not (tptp.empty @t43)))) % 128.38/128.75 (assume @p15 (exists @t31 @t47)) % 128.38/128.75 (assume @p16 (exists @t31 (not @t47))) % 128.38/128.75 (assume @p17 (forall @t8 (= @t44 @t46))) % 128.38/128.75 (assume @p18 (forall @t4 (tptp.subset @t1 @t1))) % 128.38/128.75 (assume @p19 (forall (@list @t1 @t2 @t5 @t18) (= (tptp.in @t43 (tptp.cartesian_product2 @t5 @t18)) (and (tptp.in @t1 @t5) (tptp.in @t2 @t18))))) % 128.38/128.75 (assume @p20 @t50) % 128.38/128.75 (assume @p21 (forall @t4 (=> @t3 @t51))) % 128.38/128.75 (assume @p22 (forall @t4 (=> @t51 (or @t52 @t3)))) % 128.38/128.75 (assume @p23 @t54) % 128.38/128.75 (assume @p24 (forall @t8 (=> (and @t3 @t55) (tptp.element @t1 @t5)))) % 128.38/128.75 (assume @p25 (forall @t8 (not (and @t3 @t55 (tptp.empty @t5))))) % 128.38/128.75 (assume @p26 (forall @t31 (=> @t47 (= @t1 tptp.empty_set)))) % 128.38/128.75 (assume @p27 (forall @t4 (not (and @t3 @t52)))) % 128.38/128.75 (assume @p28 (forall @t4 (not (and @t47 (not (= @t1 @t2)) @t52)))) % 128.38/128.75 (step @p29 :rule bool-impl-elim :args (@t29 @t57)) % 128.38/128.75 (step @p30 :rule cong :premises (@p29) :args ((forall @t31 (=> @t29 @t57)))) % 128.38/128.75 (step @p31 :rule exists-elim :args ((= @t35 @t56))) % 128.38/128.75 (step @p32 :rule refl :args (@t11)) % 128.38/128.75 (step @p33 :rule cong :premises (@p32 @p31) :args (@t36)) % 128.38/128.75 (step @p34 :rule cong :premises (@p33) :args (@t37)) % 128.38/128.75 (step @p35 :rule refl :args (@t38)) % 128.38/128.75 (step @p36 :rule cong :premises (@p35 @p34) :args (@t39)) % 128.38/128.75 (step @p37 :rule cong :premises (@p36) :args (@t40)) % 128.38/128.75 (step @p38 :rule refl :args (@t29)) % 128.38/128.75 (step @p39 :rule cong :premises (@p38 @p37) :args (@t41)) % 128.38/128.75 (step @p40 :rule cong :premises (@p39) :args (@t42)) % 128.38/128.75 (step @p41 :rule trans :premises (@p40 @p30)) % 128.38/128.75 (step @p42 :rule eq_resolve :premises (@p6 @p41)) % 128.38/128.75 (step @p43 :rule instantiate :premises (@p42) :args (@t60)) % 128.38/128.75 (step @p44 :rule bool-impl-elim :args (@t7 @t6)) % 128.38/128.75 (step @p45 :rule cong :premises (@p44) :args (@t9)) % 128.38/128.75 (step @p46 :rule eq_resolve :premises (@p2 @p45)) % 128.38/128.75 (step @p47 :rule instantiate :premises (@p46) :args (@t63)) % 128.38/128.75 (step @p48 :rule bool-impl-elim :args (@t44 @t7)) % 128.38/128.75 (step @p49 :rule cong :premises (@p48) :args (@t45)) % 128.38/128.75 (step @p50 :rule eq_resolve :premises (@p9 @p49)) % 128.38/128.75 (step @p51 :rule instantiate :premises (@p50) :args (@t63)) % 128.38/128.75 (step @p52 :rule bool-impl-elim :args (@t44 @t48)) % 128.38/128.75 (step @p53 :rule cong :premises (@p52) :args (@t49)) % 128.38/128.75 (step @p54 :rule cong :premises (@p53) :args (@t50)) % 128.38/128.75 (step @p55 :rule eq_resolve :premises (@p20 @p54)) % 128.38/128.75 (step @p56 :rule skolemize :premises (@p55)) % 128.38/128.75 (step @p57 :rule bool-double-not-elim :args (@t64)) % 128.38/128.75 (step @p58 :rule refl :args (@t71)) % 128.38/128.75 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t71 (not @t70)))) % 128.38/128.75 (step @p60 :rule cnf_or_neg :args (@t71 0)) % 128.38/128.75 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 128.38/128.75 (step @p62 :rule reordering :premises (@p61) :args ((or @t64 @t71))) % 128.38/128.75 (step @p63 :rule chain_m_resolution :premises (@p62 @p56) :args (@t64 @t72 @t73)) % 128.38/128.75 (step @p64 :rule cnf_or_pos :args (@t76)) % 128.38/128.75 (step @p65 :rule reordering :premises (@p64) :args ((or @t70 @t75 (not @t76)))) % 128.38/128.75 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p51) :args (@t75 @t77 (@list @t64 @t76))) % 128.38/128.75 (step @p67 :rule cnf_or_pos :args (@t80)) % 128.38/128.75 (step @p68 :rule reordering :premises (@p67) :args ((or @t79 @t78 (not @t80)))) % 128.38/128.75 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p47) :args (@t78 @t77 (@list @t75 @t80))) % 128.38/128.75 (step @p70 :rule cnf_or_pos :args (@t84)) % 128.38/128.75 (step @p71 :rule reordering :premises (@p70) :args ((or @t83 @t82 (not @t84)))) % 128.38/128.75 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p43) :args (@t82 @t77 (@list @t78 @t84))) % 128.38/128.75 (step @p73 :rule bool-eq-true :args (@t86)) % 128.38/128.75 (step @p74 :rule eq-symm :args (true @t86)) % 128.38/128.75 (step @p75 :rule trans :premises (@p74 @p73)) % 128.38/128.75 (step @p76 :rule eq-symm :args (@t85 @t81)) % 128.38/128.75 (step @p77 :rule cong :premises (@p76) :args (@t87)) % 128.38/128.75 (step @p78 :rule eq-refl :args (@t65)) % 128.38/128.75 (step @p79 :rule cong :premises (@p78 @p77) :args (@t88)) % 128.38/128.75 (step @p80 :rule trans :premises (@p79 @p75)) % 128.38/128.75 (step @p81 :rule refl :args (@t82)) % 128.38/128.75 (step @p82 :rule cong :premises (@p81 @p80) :args ((=> @t82 @t88))) % 128.38/128.75 (assume-push @p259 @t82) % 128.38/128.75 (step @p84 :rule instantiate :premises (@p72) :args ((@list @t65))) % 128.38/128.75 (step-pop @p260 :rule scope :premises (@p84)) % 128.38/128.75 (step @p85 :rule process_scope :premises (@p260) :args (@t88)) % 128.38/128.75 (step @p87 :rule eq_resolve :premises (@p85 @p82)) % 128.38/128.75 (step @p88 :rule implies_elim :premises (@p87)) % 128.38/128.75 (step @p89 :rule chain_m_resolution :premises (@p88 @p72) :args (@t86 @t89 (@list @t82))) % 128.38/128.75 (step @p90 :rule eq-symm :args (@t93 @t94)) % 128.38/128.75 (step @p91 :rule refl :args (@t86)) % 128.38/128.75 (step @p92 :rule cong :premises (@p91 @p90) :args ((=> @t86 @t95))) % 128.38/128.75 (assume-push @p261 @t86) % 128.38/128.75 (step @p94 :rule instantiate :premises (@p89) :args ((@list @t91))) % 128.38/128.75 (step-pop @p262 :rule scope :premises (@p94)) % 128.38/128.75 (step @p95 :rule process_scope :premises (@p262) :args (@t95)) % 128.38/128.75 (step @p97 :rule eq_resolve :premises (@p95 @p92)) % 128.38/128.75 (step @p98 :rule implies_elim :premises (@p97)) % 128.38/128.75 (step @p99 :rule chain_m_resolution :premises (@p98 @p89) :args (@t96 @t89 (@list @t86))) % 128.38/128.75 (step @p100 :rule bool-impl-elim :args (@t12 @t11)) % 128.38/128.75 (step @p101 :rule cong :premises (@p100) :args (@t14)) % 128.38/128.75 (step @p102 :rule refl :args (@t15)) % 128.38/128.75 (step @p103 :rule cong :premises (@p102 @p101) :args (@t16)) % 128.38/128.75 (step @p104 :rule cong :premises (@p103) :args (@t17)) % 128.38/128.75 (step @p105 :rule eq_resolve :premises (@p4 @p104)) % 128.38/128.75 (step @p106 :rule instantiate :premises (@p105) :args ((@list @t65 @t61))) % 128.38/128.75 (step @p107 :rule instantiate :premises (@p105) :args ((@list @t67 @t62))) % 128.38/128.75 (step @p108 :rule bool-double-not-elim :args (@t100)) % 128.38/128.75 (step @p109 :rule refl :args (@t103)) % 128.38/128.75 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or @t103 (not @t102)))) % 128.38/128.75 (step @p111 :rule cnf_or_neg :args (@t103 0)) % 128.38/128.75 (step @p112 :rule eq_resolve :premises (@p111 @p110)) % 128.38/128.75 (step @p113 :rule reordering :premises (@p112) :args ((or @t100 @t103))) % 128.38/128.75 (step @p114 :rule cnf_or_neg :args (@t103 1)) % 128.38/128.75 (step @p115 :rule bool-impl-elim :args (@t29 @t105)) % 128.38/128.75 (step @p116 :rule cong :premises (@p115) :args ((forall @t31 (=> @t29 @t105)))) % 128.38/128.75 (step @p117 :rule exists-elim :args ((= @t22 @t104))) % 128.38/128.75 (step @p118 :rule cong :premises (@p32 @p117) :args (@t23)) % 128.38/128.75 (step @p119 :rule cong :premises (@p118) :args (@t24)) % 128.38/128.75 (step @p120 :rule refl :args (@t25)) % 128.38/128.75 (step @p121 :rule cong :premises (@p120 @p119) :args (@t26)) % 128.38/128.75 (step @p122 :rule cong :premises (@p121) :args (@t28)) % 128.38/128.75 (step @p123 :rule cong :premises (@p38 @p122) :args (@t30)) % 128.38/128.75 (step @p124 :rule cong :premises (@p123) :args (@t32)) % 128.38/128.75 (step @p125 :rule trans :premises (@p124 @p116)) % 128.38/128.75 (step @p126 :rule eq_resolve :premises (@p5 @p125)) % 128.38/128.75 (step @p127 :rule instantiate :premises (@p126) :args (@t60)) % 128.38/128.75 (step @p128 :rule cnf_or_pos :args (@t108)) % 128.38/128.75 (step @p129 :rule reordering :premises (@p128) :args ((or @t83 @t107 (not @t108)))) % 128.38/128.75 (step @p130 :rule chain_m_resolution :premises (@p129 @p69 @p127) :args (@t107 @t77 (@list @t78 @t108))) % 128.38/128.75 (step @p131 :rule bool-eq-true :args (@t109)) % 128.38/128.75 (step @p132 :rule eq-symm :args (true @t109)) % 128.38/128.75 (step @p133 :rule trans :premises (@p132 @p131)) % 128.38/128.75 (step @p134 :rule refl :args (@t109)) % 128.38/128.75 (step @p135 :rule eq-refl :args (@t67)) % 128.38/128.75 (step @p136 :rule cong :premises (@p135 @p134) :args (@t110)) % 128.38/128.75 (step @p137 :rule trans :premises (@p136 @p133)) % 128.38/128.75 (step @p138 :rule refl :args (@t107)) % 128.38/128.75 (step @p139 :rule cong :premises (@p138 @p137) :args ((=> @t107 @t110))) % 128.38/128.75 (assume-push @p263 @t107) % 128.38/128.75 (step @p141 :rule instantiate :premises (@p130) :args ((@list @t67))) % 128.38/128.75 (step-pop @p264 :rule scope :premises (@p141)) % 128.38/128.75 (step @p142 :rule process_scope :premises (@p264) :args (@t110)) % 128.38/128.75 (step @p144 :rule eq_resolve :premises (@p142 @p139)) % 128.38/128.75 (step @p145 :rule implies_elim :premises (@p144)) % 128.38/128.75 (step @p146 :rule chain_m_resolution :premises (@p145 @p130) :args (@t109 @t89 (@list @t107))) % 128.38/128.75 (step @p147 :rule instantiate :premises (@p146) :args ((@list @t99))) % 128.38/128.75 (step @p148 :rule cnf_equiv_pos1 :args (@t113)) % 128.38/128.75 (step @p149 :rule reordering :premises (@p148) :args ((or @t102 @t112 (not @t113)))) % 128.38/128.75 (step @p150 :rule cnf_and_pos :args (@t115 0)) % 128.38/128.75 (step @p151 :rule reordering :premises (@p150) :args ((or @t101 (not @t115)))) % 128.38/128.75 (step @p152 :rule refl :args (@t117)) % 128.38/128.75 (step @p153 :rule bool-double-not-elim :args (@t111)) % 128.38/128.75 (step @p154 :rule nary_cong :premises (@p153 @p152) :args ((or (not @t112) @t117))) % 128.38/128.75 (step @p155 :rule bool-double-not-elim :args (@t117)) % 128.38/128.75 (step @p156 :rule refl :args (@t112)) % 128.38/128.75 (step @p157 :rule cong :premises (@p156 @p155) :args ((=> @t112 @t119))) % 128.38/128.75 (assume-push @p265 @t112) % 128.38/128.75 (step @p159 :rule skolemize :premises (@p265)) % 128.38/128.75 (step-pop @p266 :rule scope :premises (@p159)) % 128.38/128.75 (step @p160 :rule process_scope :premises (@p266) :args (@t119)) % 128.38/128.75 (step @p162 :rule eq_resolve :premises (@p160 @p157)) % 128.38/128.75 (step @p163 :rule implies_elim :premises (@p162)) % 128.38/128.75 (step @p164 :rule eq_resolve :premises (@p163 @p154)) % 128.38/128.75 (step @p165 :rule instantiate :premises (@p19) :args ((@list @t99 @t114 @t62 @t61))) % 128.38/128.75 (step @p166 :rule cnf_equiv_pos1 :args (@t121)) % 128.38/128.75 (step @p167 :rule reordering :premises (@p166) :args ((or (not @t120) @t115 (not @t121)))) % 128.38/128.75 (step @p168 :rule instantiate :premises (@p105) :args (@t122)) % 128.38/128.75 (step @p169 :rule eq-symm :args (@t53 @t15)) % 128.38/128.75 (step @p170 :rule cong :premises (@p169) :args (@t54)) % 128.38/128.75 (step @p171 :rule eq_resolve :premises (@p23 @p170)) % 128.38/128.75 (step @p172 :rule eq-symm :args (@t123 @t75)) % 128.38/128.75 (step @p173 :rule refl :args (@t124)) % 128.38/128.75 (step @p174 :rule cong :premises (@p173 @p172) :args ((=> @t124 @t125))) % 128.38/128.75 (assume-push @p267 @t124) % 128.38/128.75 (step @p176 :rule instantiate :premises (@p171) :args (@t122)) % 128.38/128.75 (step-pop @p268 :rule scope :premises (@p176)) % 128.38/128.75 (step @p177 :rule process_scope :premises (@p268) :args (@t125)) % 128.38/128.75 (step @p179 :rule eq_resolve :premises (@p177 @p174)) % 128.38/128.75 (step @p180 :rule implies_elim :premises (@p179)) % 128.38/128.75 (step @p181 :rule chain_m_resolution :premises (@p180 @p171) :args (@t126 @t89 (@list @t124))) % 128.38/128.75 (step @p182 :rule cnf_equiv_pos1 :args (@t126)) % 128.38/128.75 (step @p183 :rule reordering :premises (@p182) :args ((or @t79 @t123 (not @t126)))) % 128.38/128.75 (step @p184 :rule chain_m_resolution :premises (@p183 @p66 @p181) :args (@t123 @t77 (@list @t75 @t126))) % 128.38/128.75 (step @p185 :rule cnf_equiv_pos1 :args (@t128)) % 128.38/128.75 (step @p186 :rule reordering :premises (@p185) :args ((or (not @t123) @t127 (not @t128)))) % 128.38/128.75 (step @p187 :rule chain_m_resolution :premises (@p186 @p184 @p168) :args (@t127 @t77 (@list @t123 @t128))) % 128.38/128.75 (step @p188 :rule instantiate :premises (@p187) :args ((@list @t116))) % 128.38/128.75 (step @p189 :rule cnf_or_pos :args (@t129)) % 128.38/128.75 (step @p190 :rule reordering :premises (@p189) :args ((or @t118 @t120 (not @t129)))) % 128.38/128.75 (step @p191 :rule chain_m_resolution :premises (@p190 @p188 @p167 @p165 @p164 @p151 @p149 @p147 @p114 @p113) :args (@t103 (@list false true false false true true false true false) (@list @t129 @t120 @t121 @t117 @t115 @t111 @t113 @t101 @t100))) % 128.38/128.75 (step @p192 :rule refl :args (@t130)) % 128.38/128.75 (step @p193 :rule bool-double-not-elim :args (@t98)) % 128.38/128.75 (step @p194 :rule nary_cong :premises (@p193 @p192) :args ((or (not @t131) @t130))) % 128.38/128.75 (assume-push @p269 @t131) % 128.38/128.75 (step @p196 :rule skolemize :premises (@p269)) % 128.38/128.75 (step-pop @p270 :rule scope :premises (@p196)) % 128.38/128.75 (step @p197 :rule process_scope :premises (@p270) :args (@t130)) % 128.38/128.75 (step @p199 :rule implies_elim :premises (@p197)) % 128.38/128.75 (step @p200 :rule eq_resolve :premises (@p199 @p194)) % 128.38/128.75 (step @p201 :rule chain_m_resolution :premises (@p200 @p191) :args (@t98 @t89 (@list @t103))) % 128.38/128.75 (step @p202 :rule cnf_equiv_pos2 :args (@t132)) % 128.38/128.75 (step @p203 :rule reordering :premises (@p202) :args ((or @t68 @t131 (not @t132)))) % 128.38/128.75 (step @p204 :rule chain_m_resolution :premises (@p203 @p201 @p107) :args (@t68 @t77 (@list @t98 @t132))) % 128.38/128.75 (step @p205 :rule cnf_or_neg :args (@t71 1)) % 128.38/128.75 (step @p206 :rule chain_m_resolution :premises (@p205 @p56) :args ((not @t69) @t72 @t73)) % 128.38/128.75 (step @p207 :rule cnf_and_neg :args (@t69)) % 128.38/128.75 (step @p208 :rule chain_m_resolution :premises (@p207 @p206 @p204) :args ((not @t66) @t133 (@list @t69 @t68))) % 128.38/128.75 (step @p209 :rule cnf_equiv_pos2 :args (@t134)) % 128.38/128.75 (step @p210 :rule reordering :premises (@p209) :args ((or @t66 @t135 (not @t134)))) % 128.38/128.75 (step @p211 :rule chain_m_resolution :premises (@p210 @p208 @p106) :args (@t135 @t133 (@list @t66 @t134))) % 128.38/128.75 (step @p212 :rule refl :args (@t139)) % 128.38/128.75 (step @p213 :rule bool-double-not-elim :args (@t90)) % 128.38/128.75 (step @p214 :rule nary_cong :premises (@p213 @p212) :args ((or (not @t135) @t139))) % 128.38/128.75 (assume-push @p271 @t135) % 128.38/128.75 (step @p216 :rule skolemize :premises (@p271)) % 128.38/128.75 (step-pop @p272 :rule scope :premises (@p216)) % 128.38/128.75 (step @p217 :rule process_scope :premises (@p272) :args (@t139)) % 128.38/128.75 (step @p219 :rule implies_elim :premises (@p217)) % 128.38/128.75 (step @p220 :rule eq_resolve :premises (@p219 @p214)) % 128.38/128.75 (step @p221 :rule chain_m_resolution :premises (@p220 @p211) :args (@t139 @t72 (@list @t90))) % 128.38/128.75 (step @p222 :rule bool-double-not-elim :args (@t94)) % 128.38/128.75 (step @p223 :rule refl :args (@t138)) % 128.38/128.75 (step @p224 :rule nary_cong :premises (@p223 @p222) :args ((or @t138 (not @t137)))) % 128.38/128.75 (step @p225 :rule cnf_or_neg :args (@t138 0)) % 128.38/128.75 (step @p226 :rule eq_resolve :premises (@p225 @p224)) % 128.38/128.75 (step @p227 :rule reordering :premises (@p226) :args ((or @t94 @t138))) % 128.38/128.75 (step @p228 :rule chain_m_resolution :premises (@p227 @p221) :args (@t94 @t72 @t140)) % 128.38/128.75 (step @p229 :rule cnf_equiv_pos1 :args (@t96)) % 128.38/128.75 (step @p230 :rule reordering :premises (@p229) :args ((or @t137 @t93 (not @t96)))) % 128.38/128.75 (step @p231 :rule chain_m_resolution :premises (@p230 @p228 @p99) :args (@t93 @t77 (@list @t94 @t96))) % 128.38/128.75 (step @p232 :rule refl :args (@t143)) % 128.38/128.75 (step @p233 :rule bool-double-not-elim :args (@t92)) % 128.38/128.75 (step @p234 :rule nary_cong :premises (@p233 @p232) :args ((or (not @t93) @t143))) % 128.38/128.75 (step @p235 :rule bool-double-not-elim :args (@t143)) % 128.38/128.75 (step @p236 :rule refl :args (@t93)) % 128.38/128.75 (step @p237 :rule cong :premises (@p236 @p235) :args ((=> @t93 @t145))) % 128.38/128.75 (assume-push @p273 @t93) % 128.38/128.75 (step @p239 :rule skolemize :premises (@p273)) % 128.38/128.75 (step-pop @p274 :rule scope :premises (@p239)) % 128.38/128.75 (step @p240 :rule process_scope :premises (@p274) :args (@t145)) % 128.38/128.75 (step @p242 :rule eq_resolve :premises (@p240 @p237)) % 128.38/128.75 (step @p243 :rule implies_elim :premises (@p242)) % 128.38/128.75 (step @p244 :rule eq_resolve :premises (@p243 @p234)) % 128.38/128.75 (step @p245 :rule chain_m_resolution :premises (@p244 @p231) :args (@t143 @t72 (@list @t92))) % 128.38/128.75 (step @p246 :rule instantiate :premises (@p187) :args ((@list @t142))) % 128.38/128.75 (step @p247 :rule instantiate :premises (@p19) :args ((@list @t141 @t91 @t62 @t61))) % 128.38/128.75 (step @p248 :rule cnf_or_neg :args (@t138 1)) % 128.38/128.75 (step @p249 :rule chain_m_resolution :premises (@p248 @p221) :args ((not @t136) @t72 @t140)) % 128.38/128.75 (step @p250 :rule cnf_and_pos :args (@t146 1)) % 128.38/128.75 (step @p251 :rule reordering :premises (@p250) :args ((or @t136 @t147))) % 128.38/128.75 (step @p252 :rule chain_m_resolution :premises (@p251 @p249) :args (@t147 @t72 (@list @t136))) % 128.38/128.75 (step @p253 :rule cnf_equiv_pos1 :args (@t149)) % 128.38/128.75 (step @p254 :rule reordering :premises (@p253) :args ((or @t146 @t150 (not @t149)))) % 128.38/128.75 (step @p255 :rule chain_m_resolution :premises (@p254 @p252 @p247) :args (@t150 @t133 (@list @t146 @t149))) % 128.38/128.75 (step @p256 :rule cnf_or_pos :args (@t151)) % 128.38/128.75 (step @p257 :rule reordering :premises (@p256) :args ((or @t144 @t148 (not @t151)))) % 128.38/128.75 (step @p258 false :rule chain_m_resolution :premises (@p257 @p255 @p246 @p245) :args (false (@list true false false) (@list @t148 @t151 @t143))) % 128.38/128.75 ) % 128.38/128.75 % SZS output end Proof % 128.38/128.75 % cvc5 exiting %------------------------------------------------------------------------------