%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU025+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 : n009.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 08:50:28 AM UTC 2026 % Result : Theorem 0.36s 0.61s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU025+1 : TPTP v9.2.1. Released v3.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n009.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 16:23:59 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.61 % SZS status Theorem % 0.36/0.61 % SZS output start Proof % 0.36/0.61 ( % 0.36/0.61 (declare-sort $$unsorted 0) % 0.36/0.61 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.function (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.empty_set $$unsorted) % 0.36/0.61 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.36/0.61 (define @t1 () (@var "A" $$unsorted)) % 0.36/0.61 (define @t2 () (@var "B" $$unsorted)) % 0.36/0.61 (define @t3 () (tptp.in @t1 @t2)) % 0.36/0.61 (define @t4 () (@list @t1 @t2)) % 0.36/0.61 (define @t5 () (tptp.function @t1)) % 0.36/0.61 (define @t6 () (tptp.empty @t1)) % 0.36/0.61 (define @t7 () (@list @t1)) % 0.36/0.61 (define @t8 () (tptp.relation @t1)) % 0.36/0.61 (define @t9 () (tptp.one_to_one @t1)) % 0.36/0.61 (define @t10 () (and @t8 @t5 @t9)) % 0.36/0.61 (define @t11 () (and @t8 @t6 @t5)) % 0.36/0.61 (define @t12 () (tptp.function_inverse @t1)) % 0.36/0.61 (define @t13 () (and (tptp.relation @t12) (tptp.function @t12))) % 0.36/0.61 (define @t14 () (and @t8 @t5)) % 0.36/0.61 (define @t15 () (forall @t7 (=> @t14 @t13))) % 0.36/0.61 (define @t16 () (tptp.relation_composition @t1 @t2)) % 0.36/0.61 (define @t17 () (tptp.relation @t16)) % 0.36/0.61 (define @t18 () (tptp.relation @t2)) % 0.36/0.61 (define @t19 () (@list @t2)) % 0.36/0.61 (define @t20 () (tptp.relation_composition @t2 @t1)) % 0.36/0.61 (define @t21 () (and @t6 @t18)) % 0.36/0.61 (define @t22 () (tptp.relation tptp.empty_set)) % 0.36/0.61 (define @t23 () (tptp.empty tptp.empty_set)) % 0.36/0.61 (define @t24 () (tptp.powerset @t1)) % 0.36/0.61 (define @t25 () (tptp.relation_dom @t1)) % 0.36/0.61 (define @t26 () (tptp.empty @t25)) % 0.36/0.61 (define @t27 () (not @t6)) % 0.36/0.61 (define @t28 () (and @t27 @t8)) % 0.36/0.61 (define @t29 () (tptp.relation_rng @t1)) % 0.36/0.61 (define @t30 () (tptp.empty @t29)) % 0.36/0.61 (define @t31 () (tptp.empty @t2)) % 0.36/0.61 (define @t32 () (tptp.element @t2 @t24)) % 0.36/0.61 (define @t33 () (tptp.subset @t1 @t1)) % 0.36/0.61 (define @t34 () (forall @t4 @t33)) % 0.36/0.61 (define @t35 () (tptp.element @t1 @t2)) % 0.36/0.61 (define @t36 () (tptp.relation_dom @t16)) % 0.36/0.61 (define @t37 () (tptp.subset @t29 (tptp.relation_dom @t2))) % 0.36/0.61 (define @t38 () (=> @t37 (= @t36 @t25))) % 0.36/0.61 (define @t39 () (=> @t18 @t38)) % 0.36/0.61 (define @t40 () (forall @t19 @t39)) % 0.36/0.61 (define @t41 () (=> @t8 @t40)) % 0.36/0.61 (define @t42 () (forall @t7 @t41)) % 0.36/0.61 (define @t43 () (tptp.relation_rng @t20)) % 0.36/0.61 (define @t44 () (tptp.subset @t25 (tptp.relation_rng @t2))) % 0.36/0.61 (define @t45 () (=> @t44 (= @t43 @t29))) % 0.36/0.61 (define @t46 () (=> @t18 @t45)) % 0.36/0.61 (define @t47 () (forall @t19 @t46)) % 0.36/0.61 (define @t48 () (=> @t8 @t47)) % 0.36/0.61 (define @t49 () (forall @t7 @t48)) % 0.36/0.61 (define @t50 () (@var "C" $$unsorted)) % 0.36/0.61 (define @t51 () (tptp.element @t2 (tptp.powerset @t50))) % 0.36/0.61 (define @t52 () (@list @t1 @t2 @t50)) % 0.36/0.61 (define @t53 () (and (= @t29 (tptp.relation_dom @t12)) (= @t25 (tptp.relation_rng @t12)))) % 0.36/0.61 (define @t54 () (=> @t9 @t53)) % 0.36/0.61 (define @t55 () (forall @t7 (=> @t14 @t54))) % 0.36/0.61 (define @t56 () (tptp.relation_composition @t1 @t12)) % 0.36/0.61 (define @t57 () (tptp.relation_rng @t56)) % 0.36/0.61 (define @t58 () (tptp.relation_dom @t56)) % 0.36/0.61 (define @t59 () (and (= @t58 @t25) (= @t57 @t25))) % 0.36/0.61 (define @t60 () (=> @t9 @t59)) % 0.36/0.61 (define @t61 () (=> @t14 @t60)) % 0.36/0.61 (define @t62 () (forall @t7 @t61)) % 0.36/0.61 (define @t63 () (not @t62)) % 0.36/0.61 (define @t64 () (not @t9)) % 0.36/0.61 (define @t65 () (not @t5)) % 0.36/0.61 (define @t66 () (not @t8)) % 0.36/0.61 (define @t67 () (or @t66 @t65)) % 0.36/0.61 (define @t68 () (not @t14)) % 0.36/0.61 (define @t69 () (and (= @t25 @t58) (= @t25 @t57))) % 0.36/0.61 (define @t70 () (or @t66 @t65 @t64 @t69)) % 0.36/0.61 (define @t71 () (@quantifiers_skolemize (forall @t7 @t70) 0)) % 0.36/0.61 (define @t72 () (@list @t71)) % 0.36/0.61 (define @t73 () (=> @t9 @t69)) % 0.36/0.61 (define @t74 () (tptp.one_to_one @t71)) % 0.36/0.61 (define @t75 () (tptp.function_inverse @t71)) % 0.36/0.61 (define @t76 () (tptp.relation_composition @t71 @t75)) % 0.36/0.61 (define @t77 () (tptp.relation_rng @t76)) % 0.36/0.61 (define @t78 () (tptp.relation_dom @t71)) % 0.36/0.61 (define @t79 () (= @t78 @t77)) % 0.36/0.61 (define @t80 () (= @t78 (tptp.relation_dom @t76))) % 0.36/0.61 (define @t81 () (and @t80 @t79)) % 0.36/0.61 (define @t82 () (not @t74)) % 0.36/0.61 (define @t83 () (tptp.function @t71)) % 0.36/0.61 (define @t84 () (not @t83)) % 0.36/0.61 (define @t85 () (tptp.relation @t71)) % 0.36/0.61 (define @t86 () (not @t85)) % 0.36/0.61 (define @t87 () (or @t86 @t84 @t82 @t81)) % 0.36/0.61 (define @t88 () (@list true)) % 0.36/0.61 (define @t89 () (@list @t87)) % 0.36/0.61 (define @t90 () (tptp.relation_rng @t75)) % 0.36/0.61 (define @t91 () (= @t78 @t90)) % 0.36/0.61 (define @t92 () (tptp.relation_dom @t75)) % 0.36/0.61 (define @t93 () (tptp.relation_rng @t71)) % 0.36/0.61 (define @t94 () (= @t93 @t92)) % 0.36/0.61 (define @t95 () (and @t94 @t91)) % 0.36/0.61 (define @t96 () (or @t86 @t84 @t82 @t95)) % 0.36/0.61 (define @t97 () (@list false false false false)) % 0.36/0.61 (define @t98 () (not @t95)) % 0.36/0.61 (define @t99 () (@list false)) % 0.36/0.61 (define @t100 () (@list @t95)) % 0.36/0.61 (define @t101 () (@var "BOUND_VARIABLE_7780" $$unsorted)) % 0.36/0.61 (define @t102 () (= @t29 (tptp.relation_rng (tptp.relation_composition @t101 @t1)))) % 0.36/0.61 (define @t103 () (not (tptp.subset @t25 (tptp.relation_rng @t101)))) % 0.36/0.61 (define @t104 () (not (tptp.relation @t101))) % 0.36/0.61 (define @t105 () (or @t66 @t104 @t103 @t102)) % 0.36/0.61 (define @t106 () (or @t104 @t103 @t102)) % 0.36/0.61 (define @t107 () (or @t66 @t106)) % 0.36/0.61 (define @t108 () (@list @t1 @t101)) % 0.36/0.61 (define @t109 () (forall @t108 @t107)) % 0.36/0.61 (define @t110 () (@list @t101)) % 0.36/0.61 (define @t111 () (forall @t110 @t107)) % 0.36/0.61 (define @t112 () (forall @t110 @t106)) % 0.36/0.61 (define @t113 () (@list @t2)) % 0.36/0.61 (define @t114 () (or @t66 @t112)) % 0.36/0.61 (define @t115 () (= @t29 @t43)) % 0.36/0.61 (define @t116 () (not @t44)) % 0.36/0.61 (define @t117 () (not @t18)) % 0.36/0.61 (define @t118 () (or @t117 @t116 @t115)) % 0.36/0.61 (define @t119 () (forall @t19 @t118)) % 0.36/0.61 (define @t120 () (=> @t44 @t115)) % 0.36/0.61 (define @t121 () (tptp.subset @t92 @t93)) % 0.36/0.61 (define @t122 () (not @t121)) % 0.36/0.61 (define @t123 () (tptp.relation @t75)) % 0.36/0.61 (define @t124 () (not @t123)) % 0.36/0.61 (define @t125 () (or @t124 @t86 @t122 (= @t90 @t77))) % 0.36/0.61 (define @t126 () (forall @t108 @t105)) % 0.36/0.61 (define @t127 () (= @t77 @t90)) % 0.36/0.61 (define @t128 () (or @t124 @t86 @t122 @t127)) % 0.36/0.61 (define @t129 () (and @t123 (tptp.function @t75))) % 0.36/0.61 (define @t130 () (or @t86 @t84 @t129)) % 0.36/0.61 (define @t131 () (@var "BOUND_VARIABLE_7751" $$unsorted)) % 0.36/0.61 (define @t132 () (= @t25 (tptp.relation_dom (tptp.relation_composition @t1 @t131)))) % 0.36/0.61 (define @t133 () (not (tptp.subset @t29 (tptp.relation_dom @t131)))) % 0.36/0.61 (define @t134 () (not (tptp.relation @t131))) % 0.36/0.61 (define @t135 () (or @t134 @t133 @t132)) % 0.36/0.61 (define @t136 () (or @t66 @t135)) % 0.36/0.61 (define @t137 () (forall (@list @t1 @t131) @t136)) % 0.36/0.61 (define @t138 () (@list @t131)) % 0.36/0.61 (define @t139 () (forall @t138 @t136)) % 0.36/0.61 (define @t140 () (forall @t138 @t135)) % 0.36/0.61 (define @t141 () (or @t66 @t140)) % 0.36/0.61 (define @t142 () (= @t25 @t36)) % 0.36/0.61 (define @t143 () (not @t37)) % 0.36/0.61 (define @t144 () (or @t117 @t143 @t142)) % 0.36/0.61 (define @t145 () (forall @t19 @t144)) % 0.36/0.61 (define @t146 () (=> @t37 @t142)) % 0.36/0.61 (define @t147 () (tptp.subset @t93 @t92)) % 0.36/0.61 (define @t148 () (not @t147)) % 0.36/0.61 (define @t149 () (or @t86 @t124 @t148 @t80)) % 0.36/0.61 (define @t150 () (and @t127 @t91)) % 0.36/0.61 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.36/0.61 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.36/0.61 (assume @p3 (forall @t7 (=> @t6 @t8))) % 0.36/0.61 (assume @p4 (forall @t7 (=> @t11 @t10))) % 0.36/0.61 (assume @p5 @t15) % 0.36/0.61 (assume @p6 (forall @t4 (=> (and @t8 @t18) @t17))) % 0.36/0.61 (assume @p7 (forall @t7 (exists @t19 (tptp.element @t2 @t1)))) % 0.36/0.61 (assume @p8 (forall @t4 (=> @t21 (and (tptp.empty @t20) (tptp.relation @t20))))) % 0.36/0.61 (assume @p9 (and @t23 @t22 (tptp.relation_empty_yielding tptp.empty_set))) % 0.36/0.61 (assume @p10 (forall @t4 (=> (and @t8 @t5 @t18 (tptp.function @t2)) (and @t17 (tptp.function @t16))))) % 0.36/0.61 (assume @p11 (forall @t7 (not (tptp.empty @t24)))) % 0.36/0.61 (assume @p12 @t23) % 0.36/0.61 (assume @p13 (and @t23 @t22)) % 0.36/0.61 (assume @p14 (forall @t7 (=> @t28 (not @t26)))) % 0.36/0.61 (assume @p15 (forall @t7 (=> @t28 (not @t30)))) % 0.36/0.61 (assume @p16 (forall @t7 (=> @t6 (and @t26 (tptp.relation @t25))))) % 0.36/0.61 (assume @p17 (forall @t7 (=> @t6 (and @t30 (tptp.relation @t29))))) % 0.36/0.61 (assume @p18 (forall @t4 (=> @t21 (and (tptp.empty @t16) @t17)))) % 0.36/0.61 (assume @p19 (exists @t7 @t14)) % 0.36/0.61 (assume @p20 (exists @t7 (and @t6 @t8))) % 0.36/0.61 (assume @p21 (forall @t7 (=> @t27 (exists @t19 (and @t32 (not @t31)))))) % 0.36/0.61 (assume @p22 (exists @t7 @t6)) % 0.36/0.61 (assume @p23 (exists @t7 @t11)) % 0.36/0.61 (assume @p24 (exists @t7 @t28)) % 0.36/0.61 (assume @p25 (forall @t7 (exists @t19 (and @t32 @t31)))) % 0.36/0.61 (assume @p26 (exists @t7 @t27)) % 0.36/0.61 (assume @p27 (exists @t7 @t10)) % 0.36/0.61 (assume @p28 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 0.36/0.61 (assume @p29 @t34) % 0.36/0.61 (assume @p30 (forall @t4 (=> @t3 @t35))) % 0.36/0.61 (assume @p31 (forall @t4 (=> @t35 (or @t31 @t3)))) % 0.36/0.61 (assume @p32 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.36/0.61 (assume @p33 @t42) % 0.36/0.61 (assume @p34 @t49) % 0.36/0.61 (assume @p35 (forall @t52 (=> (and @t3 @t51) (tptp.element @t1 @t50)))) % 0.36/0.61 (assume @p36 @t55) % 0.36/0.61 (assume @p37 @t63) % 0.36/0.61 (assume @p38 (forall @t52 (not (and @t3 @t51 (tptp.empty @t50))))) % 0.36/0.61 (assume @p39 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.36/0.61 (assume @p40 (forall @t4 (not (and @t3 @t31)))) % 0.36/0.61 (assume @p41 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t31)))) % 0.36/0.61 (assume @p42 true) % 0.36/0.61 (step @p43 :rule aci_norm :args ((= (or @t67 (or @t64 @t53)) (or @t66 @t65 @t64 @t53)))) % 0.36/0.61 (step @p44 :rule bool-impl-elim :args (@t9 @t53)) % 0.36/0.61 (step @p45 :rule bool-and-de-morgan :args (@t8 @t5 true)) % 0.36/0.61 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t68 @t54))) % 0.36/0.61 (step @p47 :rule trans :premises (@p46 @p43)) % 0.36/0.61 (step @p48 :rule bool-impl-elim :args (@t14 @t54)) % 0.36/0.61 (step @p49 :rule trans :premises (@p48 @p47)) % 0.36/0.61 (step @p50 :rule cong :premises (@p49) :args (@t55)) % 0.36/0.61 (step @p51 :rule eq_resolve :premises (@p36 @p50)) % 0.36/0.61 (step @p52 :rule instantiate :premises (@p51) :args (@t72)) % 0.36/0.61 (step @p53 :rule aci_norm :args ((= (or @t67 (or @t64 @t69)) @t70))) % 0.36/0.61 (step @p54 :rule bool-impl-elim :args (@t9 @t69)) % 0.36/0.61 (step @p55 :rule nary_cong :premises (@p45 @p54) :args ((or @t68 @t73))) % 0.36/0.61 (step @p56 :rule trans :premises (@p55 @p53)) % 0.36/0.61 (step @p57 :rule bool-impl-elim :args (@t14 @t73)) % 0.36/0.61 (step @p58 :rule trans :premises (@p57 @p56)) % 0.36/0.61 (step @p59 :rule cong :premises (@p58) :args ((forall @t7 (=> @t14 @t73)))) % 0.36/0.61 (step @p60 :rule eq-symm :args (@t57 @t25)) % 0.36/0.61 (step @p61 :rule eq-symm :args (@t58 @t25)) % 0.36/0.61 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t59)) % 0.36/0.61 (step @p63 :rule refl :args (@t9)) % 0.36/0.61 (step @p64 :rule cong :premises (@p63 @p62) :args (@t60)) % 0.36/0.61 (step @p65 :rule refl :args (@t14)) % 0.36/0.61 (step @p66 :rule cong :premises (@p65 @p64) :args (@t61)) % 0.36/0.61 (step @p67 :rule cong :premises (@p66) :args (@t62)) % 0.36/0.61 (step @p68 :rule trans :premises (@p67 @p59)) % 0.36/0.61 (step @p69 :rule cong :premises (@p68) :args (@t63)) % 0.36/0.61 (step @p70 :rule eq_resolve :premises (@p37 @p69)) % 0.36/0.61 (step @p71 :rule skolemize :premises (@p70)) % 0.36/0.61 (step @p72 :rule bool-double-not-elim :args (@t74)) % 0.36/0.61 (step @p73 :rule refl :args (@t87)) % 0.36/0.61 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t87 (not @t82)))) % 0.36/0.61 (step @p75 :rule cnf_or_neg :args (@t87 2)) % 0.36/0.61 (step @p76 :rule eq_resolve :premises (@p75 @p74)) % 0.36/0.61 (step @p77 :rule reordering :premises (@p76) :args ((or @t74 @t87))) % 0.36/0.61 (step @p78 :rule chain_m_resolution :premises (@p77 @p71) :args (@t74 @t88 @t89)) % 0.36/0.61 (step @p79 :rule bool-double-not-elim :args (@t83)) % 0.36/0.61 (step @p80 :rule nary_cong :premises (@p73 @p79) :args ((or @t87 (not @t84)))) % 0.36/0.61 (step @p81 :rule cnf_or_neg :args (@t87 1)) % 0.36/0.61 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 0.36/0.61 (step @p83 :rule reordering :premises (@p82) :args ((or @t83 @t87))) % 0.36/0.61 (step @p84 :rule chain_m_resolution :premises (@p83 @p71) :args (@t83 @t88 @t89)) % 0.36/0.61 (step @p85 :rule bool-double-not-elim :args (@t85)) % 0.36/0.61 (step @p86 :rule nary_cong :premises (@p73 @p85) :args ((or @t87 (not @t86)))) % 0.36/0.61 (step @p87 :rule cnf_or_neg :args (@t87 0)) % 0.36/0.61 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.36/0.61 (step @p89 :rule reordering :premises (@p88) :args ((or @t85 @t87))) % 0.36/0.61 (step @p90 :rule chain_m_resolution :premises (@p89 @p71) :args (@t85 @t88 @t89)) % 0.36/0.61 (step @p91 :rule cnf_or_pos :args (@t96)) % 0.36/0.61 (step @p92 :rule reordering :premises (@p91) :args ((or @t86 @t84 @t82 @t95 (not @t96)))) % 0.36/0.61 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p84 @p78 @p52) :args (@t95 @t97 (@list @t85 @t83 @t74 @t96))) % 0.36/0.61 (step @p94 :rule cnf_and_pos :args (@t95 1)) % 0.36/0.61 (step @p95 :rule reordering :premises (@p94) :args ((or @t91 @t98))) % 0.36/0.61 (step @p96 :rule chain_m_resolution :premises (@p95 @p93) :args (@t91 @t99 @t100)) % 0.36/0.61 (step @p97 :rule aci_norm :args ((= @t107 @t105))) % 0.36/0.61 (step @p98 :rule cong :premises (@p97) :args (@t109)) % 0.36/0.61 (step @p99 :rule quant-merge-prenex :args ((= (forall @t7 @t111) @t109))) % 0.36/0.61 (step @p100 :rule alpha_equiv :args (@t112 (@list @t101) @t113)) % 0.36/0.61 (step @p101 :rule refl :args (@t66)) % 0.36/0.61 (step @p102 :rule nary_cong :premises (@p101 @p100) :args (@t114)) % 0.36/0.61 (step @p103 :rule quant-miniscope-or :args ((= @t111 @t114))) % 0.36/0.61 (step @p104 :rule trans :premises (@p103 @p102)) % 0.36/0.61 (step @p105 :rule symm :premises (@p104)) % 0.36/0.61 (step @p106 :rule cong :premises (@p105) :args ((forall @t7 (or @t66 @t119)))) % 0.36/0.61 (step @p107 :rule trans :premises (@p106 @p99)) % 0.36/0.61 (step @p108 :rule trans :premises (@p107 @p98)) % 0.36/0.61 (step @p109 :rule bool-impl-elim :args (@t8 @t119)) % 0.36/0.61 (step @p110 :rule cong :premises (@p109) :args ((forall @t7 (=> @t8 @t119)))) % 0.36/0.61 (step @p111 :rule trans :premises (@p110 @p108)) % 0.36/0.61 (step @p112 :rule aci_norm :args ((= (or @t117 (or @t116 @t115)) @t118))) % 0.36/0.61 (step @p113 :rule bool-impl-elim :args (@t44 @t115)) % 0.36/0.61 (step @p114 :rule refl :args (@t117)) % 0.36/0.61 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or @t117 @t120))) % 0.36/0.61 (step @p116 :rule trans :premises (@p115 @p112)) % 0.36/0.61 (step @p117 :rule bool-impl-elim :args (@t18 @t120)) % 0.36/0.61 (step @p118 :rule trans :premises (@p117 @p116)) % 0.36/0.61 (step @p119 :rule cong :premises (@p118) :args ((forall @t19 (=> @t18 @t120)))) % 0.36/0.61 (step @p120 :rule eq-symm :args (@t43 @t29)) % 0.36/0.61 (step @p121 :rule refl :args (@t44)) % 0.36/0.61 (step @p122 :rule cong :premises (@p121 @p120) :args (@t45)) % 0.36/0.61 (step @p123 :rule refl :args (@t18)) % 0.36/0.61 (step @p124 :rule cong :premises (@p123 @p122) :args (@t46)) % 0.36/0.61 (step @p125 :rule cong :premises (@p124) :args (@t47)) % 0.36/0.61 (step @p126 :rule trans :premises (@p125 @p119)) % 0.36/0.61 (step @p127 :rule refl :args (@t8)) % 0.36/0.61 (step @p128 :rule cong :premises (@p127 @p126) :args (@t48)) % 0.36/0.61 (step @p129 :rule cong :premises (@p128) :args (@t49)) % 0.36/0.61 (step @p130 :rule trans :premises (@p129 @p111)) % 0.36/0.61 (step @p131 :rule eq_resolve :premises (@p34 @p130)) % 0.36/0.61 (step @p132 :rule eq-symm :args (@t90 @t77)) % 0.36/0.61 (step @p133 :rule refl :args (@t122)) % 0.36/0.61 (step @p134 :rule refl :args (@t86)) % 0.36/0.61 (step @p135 :rule refl :args (@t124)) % 0.36/0.61 (step @p136 :rule nary_cong :premises (@p135 @p134 @p133 @p132) :args (@t125)) % 0.36/0.61 (step @p137 :rule refl :args (@t126)) % 0.36/0.61 (step @p138 :rule cong :premises (@p137 @p136) :args ((=> @t126 @t125))) % 0.36/0.61 (assume-push @p230 @t126) % 0.36/0.61 (step @p140 :rule instantiate :premises (@p131) :args ((@list @t75 @t71))) % 0.36/0.61 (step-pop @p231 :rule scope :premises (@p140)) % 0.36/0.61 (step @p141 :rule process_scope :premises (@p231) :args (@t125)) % 0.36/0.61 (step @p143 :rule eq_resolve :premises (@p141 @p138)) % 0.36/0.61 (step @p144 :rule implies_elim :premises (@p143)) % 0.36/0.61 (step @p145 :rule chain_m_resolution :premises (@p144 @p131) :args (@t128 @t99 (@list @t126))) % 0.36/0.61 (step @p146 :rule quant-unused-vars :args ((= @t34 (forall @t7 @t33)))) % 0.36/0.61 (step @p147 :rule eq_resolve :premises (@p29 @p146)) % 0.36/0.61 (step @p148 :rule instantiate :premises (@p147) :args ((@list @t93))) % 0.36/0.61 (step @p149 :rule true_intro :premises (@p148)) % 0.36/0.61 (step @p150 :rule refl :args (@t93)) % 0.36/0.61 (step @p151 :rule cnf_and_pos :args (@t95 0)) % 0.36/0.61 (step @p152 :rule reordering :premises (@p151) :args ((or @t94 @t98))) % 0.36/0.61 (step @p153 :rule chain_m_resolution :premises (@p152 @p93) :args (@t94 @t99 @t100)) % 0.36/0.61 (step @p154 :rule symm :premises (@p153)) % 0.36/0.61 (step @p155 :rule cong :premises (@p154 @p150) :args (@t121)) % 0.36/0.61 (step @p156 :rule trans :premises (@p155 @p149)) % 0.36/0.61 (step @p157 :rule true_elim :premises (@p156)) % 0.36/0.61 (step @p158 :rule aci_norm :args ((= (or @t67 @t13) (or @t66 @t65 @t13)))) % 0.36/0.61 (step @p159 :rule refl :args (@t13)) % 0.36/0.61 (step @p160 :rule nary_cong :premises (@p45 @p159) :args ((or @t68 @t13))) % 0.36/0.61 (step @p161 :rule trans :premises (@p160 @p158)) % 0.36/0.61 (step @p162 :rule bool-impl-elim :args (@t14 @t13)) % 0.36/0.61 (step @p163 :rule trans :premises (@p162 @p161)) % 0.36/0.61 (step @p164 :rule cong :premises (@p163) :args (@t15)) % 0.36/0.61 (step @p165 :rule eq_resolve :premises (@p5 @p164)) % 0.36/0.61 (step @p166 :rule instantiate :premises (@p165) :args (@t72)) % 0.36/0.61 (step @p167 :rule cnf_or_pos :args (@t130)) % 0.36/0.61 (step @p168 :rule reordering :premises (@p167) :args ((or @t86 @t84 @t129 (not @t130)))) % 0.36/0.61 (step @p169 :rule chain_m_resolution :premises (@p168 @p90 @p84 @p166) :args (@t129 (@list false false false) (@list @t85 @t83 @t130))) % 0.36/0.61 (step @p170 :rule cnf_and_pos :args (@t129 0)) % 0.36/0.61 (step @p171 :rule reordering :premises (@p170) :args ((or @t123 (not @t129)))) % 0.36/0.61 (step @p172 :rule chain_m_resolution :premises (@p171 @p169) :args (@t123 @t99 (@list @t129))) % 0.36/0.61 (step @p173 :rule cnf_or_pos :args (@t128)) % 0.36/0.61 (step @p174 :rule reordering :premises (@p173) :args ((or @t86 @t124 @t122 @t127 (not @t128)))) % 0.36/0.61 (step @p175 :rule chain_m_resolution :premises (@p174 @p90 @p172 @p157 @p145) :args (@t127 @t97 (@list @t85 @t123 @t121 @t128))) % 0.36/0.61 (step @p176 :rule aci_norm :args ((= @t136 (or @t66 @t134 @t133 @t132)))) % 0.36/0.61 (step @p177 :rule cong :premises (@p176) :args (@t137)) % 0.36/0.61 (step @p178 :rule quant-merge-prenex :args ((= (forall @t7 @t139) @t137))) % 0.36/0.61 (step @p179 :rule alpha_equiv :args (@t140 (@list @t131) @t113)) % 0.36/0.61 (step @p180 :rule nary_cong :premises (@p101 @p179) :args (@t141)) % 0.36/0.61 (step @p181 :rule quant-miniscope-or :args ((= @t139 @t141))) % 0.36/0.61 (step @p182 :rule trans :premises (@p181 @p180)) % 0.36/0.61 (step @p183 :rule symm :premises (@p182)) % 0.36/0.61 (step @p184 :rule cong :premises (@p183) :args ((forall @t7 (or @t66 @t145)))) % 0.36/0.61 (step @p185 :rule trans :premises (@p184 @p178)) % 0.36/0.61 (step @p186 :rule trans :premises (@p185 @p177)) % 0.36/0.61 (step @p187 :rule bool-impl-elim :args (@t8 @t145)) % 0.36/0.61 (step @p188 :rule cong :premises (@p187) :args ((forall @t7 (=> @t8 @t145)))) % 0.36/0.61 (step @p189 :rule trans :premises (@p188 @p186)) % 0.36/0.61 (step @p190 :rule aci_norm :args ((= (or @t117 (or @t143 @t142)) @t144))) % 0.36/0.61 (step @p191 :rule bool-impl-elim :args (@t37 @t142)) % 0.36/0.61 (step @p192 :rule nary_cong :premises (@p114 @p191) :args ((or @t117 @t146))) % 0.36/0.61 (step @p193 :rule trans :premises (@p192 @p190)) % 0.36/0.61 (step @p194 :rule bool-impl-elim :args (@t18 @t146)) % 0.36/0.61 (step @p195 :rule trans :premises (@p194 @p193)) % 0.36/0.61 (step @p196 :rule cong :premises (@p195) :args ((forall @t19 (=> @t18 @t146)))) % 0.36/0.61 (step @p197 :rule eq-symm :args (@t36 @t25)) % 0.36/0.61 (step @p198 :rule refl :args (@t37)) % 0.36/0.61 (step @p199 :rule cong :premises (@p198 @p197) :args (@t38)) % 0.36/0.61 (step @p200 :rule cong :premises (@p123 @p199) :args (@t39)) % 0.36/0.61 (step @p201 :rule cong :premises (@p200) :args (@t40)) % 0.36/0.61 (step @p202 :rule trans :premises (@p201 @p196)) % 0.36/0.61 (step @p203 :rule cong :premises (@p127 @p202) :args (@t41)) % 0.36/0.61 (step @p204 :rule cong :premises (@p203) :args (@t42)) % 0.36/0.61 (step @p205 :rule trans :premises (@p204 @p189)) % 0.36/0.61 (step @p206 :rule eq_resolve :premises (@p33 @p205)) % 0.36/0.61 (step @p207 :rule instantiate :premises (@p206) :args ((@list @t71 @t75))) % 0.36/0.61 (step @p208 :rule cong :premises (@p153 @p154) :args (@t147)) % 0.36/0.61 (step @p209 :rule trans :premises (@p208 @p155 @p149)) % 0.36/0.61 (step @p210 :rule true_elim :premises (@p209)) % 0.36/0.61 (step @p211 :rule cnf_or_pos :args (@t149)) % 0.36/0.61 (step @p212 :rule reordering :premises (@p211) :args ((or @t86 @t80 @t124 @t148 (not @t149)))) % 0.36/0.61 (step @p213 :rule chain_m_resolution :premises (@p212 @p90 @p172 @p210 @p207) :args (@t80 @t97 (@list @t85 @t123 @t147 @t149))) % 0.36/0.61 (step @p214 :rule cnf_or_neg :args (@t87 3)) % 0.36/0.61 (step @p215 :rule chain_m_resolution :premises (@p214 @p71) :args ((not @t81) @t88 @t89)) % 0.36/0.61 (step @p216 :rule cnf_and_neg :args (@t81)) % 0.36/0.61 (step @p217 :rule chain_m_resolution :premises (@p216 @p215 @p213) :args ((not @t79) (@list true false) (@list @t81 @t80))) % 0.36/0.61 (assume-push @p232 @t127) % 0.36/0.61 (assume-push @p233 @t91) % 0.36/0.61 (step @p220 :rule symm :premises (@p175)) % 0.36/0.61 (step @p221 :rule trans :premises (@p96 @p220)) % 0.36/0.61 (step-pop @p234 :rule scope :premises (@p221)) % 0.36/0.61 (step-pop @p235 :rule scope :premises (@p234)) % 0.36/0.61 (step @p222 :rule process_scope :premises (@p235) :args (@t79)) % 0.36/0.61 (step @p225 :rule implies_elim :premises (@p222)) % 0.36/0.61 (step @p226 :rule cnf_and_neg :args (@t150)) % 0.36/0.61 (step @p227 :rule resolution :premises (@p226 @p225) :args (true @t150)) % 0.36/0.61 (step @p228 :rule reordering :premises (@p227) :args ((or @t79 (not @t127) (not @t91)))) % 0.36/0.61 (step @p229 false :rule chain_m_resolution :premises (@p228 @p217 @p175 @p96) :args (false (@list true false false) (@list @t79 @t127 @t91))) % 0.36/0.61 ) % 0.36/0.61 % SZS output end Proof % 0.36/0.61 % cvc5 exiting %------------------------------------------------------------------------------