%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET774+4 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:48:37 AM UTC 2026 % Result : Theorem 0.16s 0.37s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SET774+4 : TPTP v9.2.1. Released v2.2.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 11:11:15 EDT 2026 % 0.07/0.25 % CPUTime : % 0.16/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.37 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.16/0.37 % SZS status Theorem % 0.16/0.37 % SZS output start Proof % 0.16/0.37 ( % 0.16/0.37 (declare-sort $$unsorted 0) % 0.16/0.37 (declare-const tptp.pre_order (-> $$unsorted $$unsorted Bool)) % 0.16/0.37 (declare-const tptp.equivalence (-> $$unsorted $$unsorted Bool)) % 0.16/0.37 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.16/0.37 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.16/0.37 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.16/0.37 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.16/0.37 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.16/0.37 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.16/0.37 (declare-const tptp.equivalence_class (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.16/0.37 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.37 (declare-const tptp.empty_set $$unsorted) % 0.16/0.37 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.16/0.37 (declare-const tptp.partition (-> $$unsorted $$unsorted Bool)) % 0.16/0.37 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.16/0.37 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.37 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.16/0.37 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.37 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.37 (define @t1 () (@var "B" $$unsorted)) % 0.16/0.37 (define @t2 () (@var "X" $$unsorted)) % 0.16/0.37 (define @t3 () (tptp.member @t2 @t1)) % 0.16/0.37 (define @t4 () (@var "A" $$unsorted)) % 0.16/0.37 (define @t5 () (tptp.member @t2 @t4)) % 0.16/0.37 (define @t6 () (@list @t2)) % 0.16/0.37 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.16/0.37 (define @t8 () (tptp.subset @t4 @t1)) % 0.16/0.37 (define @t9 () (= @t8 @t7)) % 0.16/0.37 (define @t10 () (@list @t4 @t1)) % 0.16/0.37 (define @t11 () (forall @t10 @t9)) % 0.16/0.37 (define @t12 () (@list @t2 @t4)) % 0.16/0.37 (define @t13 () (and @t5 @t3)) % 0.16/0.37 (define @t14 () (@list @t2 @t4 @t1)) % 0.16/0.37 (define @t15 () (@var "E" $$unsorted)) % 0.16/0.37 (define @t16 () (= @t2 @t4)) % 0.16/0.37 (define @t17 () (@var "Y" $$unsorted)) % 0.16/0.37 (define @t18 () (tptp.member @t2 @t17)) % 0.16/0.37 (define @t19 () (tptp.member @t17 @t4)) % 0.16/0.37 (define @t20 () (@list @t17)) % 0.16/0.37 (define @t21 () (exists @t20 (and @t19 @t18))) % 0.16/0.37 (define @t22 () (@var "Z" $$unsorted)) % 0.16/0.37 (define @t23 () (and @t5 @t19)) % 0.16/0.37 (define @t24 () (@list @t2 @t17)) % 0.16/0.37 (define @t25 () (tptp.member @t2 @t15)) % 0.16/0.37 (define @t26 () (tptp.subset @t2 @t15)) % 0.16/0.37 (define @t27 () (@var "R" $$unsorted)) % 0.16/0.37 (define @t28 () (tptp.apply @t27 @t2 @t22)) % 0.16/0.37 (define @t29 () (tptp.apply @t27 @t17 @t22)) % 0.16/0.37 (define @t30 () (tptp.apply @t27 @t2 @t17)) % 0.16/0.37 (define @t31 () (and @t30 @t29)) % 0.16/0.37 (define @t32 () (=> @t31 @t28)) % 0.16/0.37 (define @t33 () (@list @t2 @t17 @t22)) % 0.16/0.37 (define @t34 () (tptp.apply @t27 @t2 @t2)) % 0.16/0.37 (define @t35 () (tptp.member @t22 @t15)) % 0.16/0.37 (define @t36 () (tptp.member @t17 @t15)) % 0.16/0.37 (define @t37 () (and @t25 @t36 @t35)) % 0.16/0.37 (define @t38 () (forall @t33 (=> @t37 @t32))) % 0.16/0.37 (define @t39 () (forall @t6 (=> @t25 @t34))) % 0.16/0.37 (define @t40 () (and @t39 @t38)) % 0.16/0.37 (define @t41 () (tptp.pre_order @t27 @t15)) % 0.16/0.37 (define @t42 () (= @t41 @t40)) % 0.16/0.37 (define @t43 () (forall (@list @t27 @t15) @t42)) % 0.16/0.37 (define @t44 () (tptp.pre_order @t27 @t2)) % 0.16/0.37 (define @t45 () (and @t41 @t26)) % 0.16/0.37 (define @t46 () (@list @t15 @t2 @t27)) % 0.16/0.37 (define @t47 () (forall @t46 (=> @t45 @t44))) % 0.16/0.37 (define @t48 () (not @t47)) % 0.16/0.37 (define @t49 () (not @t29)) % 0.16/0.37 (define @t50 () (not @t30)) % 0.16/0.37 (define @t51 () (not @t35)) % 0.16/0.37 (define @t52 () (not @t36)) % 0.16/0.37 (define @t53 () (not @t25)) % 0.16/0.37 (define @t54 () (or @t50 @t49 @t28)) % 0.16/0.37 (define @t55 () (or @t53 @t52 @t51)) % 0.16/0.37 (define @t56 () (not @t26)) % 0.16/0.37 (define @t57 () (not @t41)) % 0.16/0.37 (define @t58 () (or @t57 @t56 @t44)) % 0.16/0.37 (define @t59 () (forall @t46 @t58)) % 0.16/0.37 (define @t60 () (@quantifiers_skolemize @t59 0)) % 0.16/0.37 (define @t61 () (@quantifiers_skolemize @t59 2)) % 0.16/0.37 (define @t62 () (tptp.pre_order @t61 @t60)) % 0.16/0.37 (define @t63 () (@quantifiers_skolemize @t59 1)) % 0.16/0.37 (define @t64 () (tptp.pre_order @t61 @t63)) % 0.16/0.37 (define @t65 () (tptp.subset @t63 @t60)) % 0.16/0.37 (define @t66 () (not @t65)) % 0.16/0.37 (define @t67 () (not @t62)) % 0.16/0.37 (define @t68 () (or @t67 @t66 @t64)) % 0.16/0.37 (define @t69 () (@list true)) % 0.16/0.37 (define @t70 () (@list @t68)) % 0.16/0.37 (define @t71 () (tptp.apply @t61 @t2 @t22)) % 0.16/0.37 (define @t72 () (not (tptp.apply @t61 @t17 @t22))) % 0.16/0.37 (define @t73 () (not (tptp.apply @t61 @t2 @t17))) % 0.16/0.37 (define @t74 () (tptp.member @t2 @t60)) % 0.16/0.37 (define @t75 () (not @t74)) % 0.16/0.37 (define @t76 () (forall @t33 (or @t75 (not (tptp.member @t17 @t60)) (not (tptp.member @t22 @t60)) @t73 @t72 @t71))) % 0.16/0.37 (define @t77 () (tptp.apply @t61 @t2 @t2)) % 0.16/0.37 (define @t78 () (forall @t6 (or @t75 @t77))) % 0.16/0.37 (define @t79 () (and @t78 @t76)) % 0.16/0.37 (define @t80 () (= @t62 @t79)) % 0.16/0.37 (define @t81 () (@list false false)) % 0.16/0.37 (define @t82 () (not @t79)) % 0.16/0.37 (define @t83 () (@list false)) % 0.16/0.37 (define @t84 () (@list @t79)) % 0.16/0.37 (define @t85 () (not (tptp.member @t2 @t63))) % 0.16/0.37 (define @t86 () (forall @t6 (or @t85 @t74))) % 0.16/0.37 (define @t87 () (= @t65 @t86)) % 0.16/0.37 (define @t88 () (forall @t33 (or @t85 (not (tptp.member @t17 @t63)) (not (tptp.member @t22 @t63)) @t73 @t72 @t71))) % 0.16/0.37 (define @t89 () (@quantifiers_skolemize @t88 2)) % 0.16/0.37 (define @t90 () (forall @t6 (or @t85 @t77))) % 0.16/0.37 (define @t91 () (@quantifiers_skolemize @t90 0)) % 0.16/0.37 (define @t92 () (tptp.member @t91 @t63)) % 0.16/0.37 (define @t93 () (tptp.apply @t61 @t91 @t91)) % 0.16/0.37 (define @t94 () (not @t92)) % 0.16/0.37 (define @t95 () (or @t94 @t93)) % 0.16/0.37 (define @t96 () (@list @t91)) % 0.16/0.37 (define @t97 () (tptp.member @t91 @t60)) % 0.16/0.37 (define @t98 () (or @t94 @t97)) % 0.16/0.37 (define @t99 () (not @t97)) % 0.16/0.37 (define @t100 () (or @t99 @t93)) % 0.16/0.37 (define @t101 () (not @t95)) % 0.16/0.37 (define @t102 () (not @t90)) % 0.16/0.37 (define @t103 () (and @t90 @t88)) % 0.16/0.37 (define @t104 () (= @t64 @t103)) % 0.16/0.37 (define @t105 () (not @t103)) % 0.16/0.37 (define @t106 () (@list true false)) % 0.16/0.37 (define @t107 () (not @t88)) % 0.16/0.37 (define @t108 () (@quantifiers_skolemize @t88 0)) % 0.16/0.37 (define @t109 () (tptp.apply @t61 @t108 @t89)) % 0.16/0.37 (define @t110 () (@quantifiers_skolemize @t88 1)) % 0.16/0.37 (define @t111 () (tptp.apply @t61 @t110 @t89)) % 0.16/0.37 (define @t112 () (not @t111)) % 0.16/0.37 (define @t113 () (tptp.apply @t61 @t108 @t110)) % 0.16/0.37 (define @t114 () (not @t113)) % 0.16/0.37 (define @t115 () (tptp.member @t89 @t63)) % 0.16/0.37 (define @t116 () (not @t115)) % 0.16/0.37 (define @t117 () (tptp.member @t110 @t63)) % 0.16/0.37 (define @t118 () (not @t117)) % 0.16/0.37 (define @t119 () (tptp.member @t108 @t63)) % 0.16/0.37 (define @t120 () (not @t119)) % 0.16/0.37 (define @t121 () (or @t120 @t118 @t116 @t114 @t112 @t109)) % 0.16/0.37 (define @t122 () (not @t121)) % 0.16/0.37 (define @t123 () (@list @t121)) % 0.16/0.37 (define @t124 () (tptp.member @t89 @t60)) % 0.16/0.37 (define @t125 () (or @t116 @t124)) % 0.16/0.37 (define @t126 () (tptp.member @t110 @t60)) % 0.16/0.37 (define @t127 () (or @t118 @t126)) % 0.16/0.37 (define @t128 () (tptp.member @t108 @t60)) % 0.16/0.37 (define @t129 () (or @t120 @t128)) % 0.16/0.37 (define @t130 () (not @t124)) % 0.16/0.37 (define @t131 () (not @t126)) % 0.16/0.37 (define @t132 () (not @t128)) % 0.16/0.37 (define @t133 () (or @t132 @t131 @t130 @t114 @t112 @t109)) % 0.16/0.37 (define @t134 () (not @t133)) % 0.16/0.37 (assume @p1 @t11) % 0.16/0.37 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.16/0.37 (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.16/0.37 (assume @p4 (forall @t14 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) @t13))) % 0.16/0.37 (assume @p5 (forall @t14 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.16/0.37 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.16/0.37 (assume @p7 (forall (@list @t1 @t4 @t15) (= (tptp.member @t1 (tptp.difference @t15 @t4)) (and (tptp.member @t1 @t15) (not (tptp.member @t1 @t4)))))) % 0.16/0.37 (assume @p8 (forall @t12 (= (tptp.member @t2 (tptp.singleton @t4)) @t16))) % 0.16/0.37 (assume @p9 (forall @t14 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t16 (= @t2 @t1))))) % 0.16/0.37 (assume @p10 (forall @t12 (= (tptp.member @t2 (tptp.sum @t4)) @t21))) % 0.16/0.37 (assume @p11 (forall @t12 (= (tptp.member @t2 (tptp.product @t4)) (forall @t20 (=> @t19 @t18))))) % 0.16/0.37 (assume @p12 (forall @t10 (= (tptp.disjoint @t4 @t1) (not (exists @t6 @t13))))) % 0.16/0.37 (assume @p13 (forall (@list @t4 @t15) (= (tptp.partition @t4 @t15) (and (forall @t6 (=> @t5 @t26)) (forall @t6 (=> @t25 @t21)) (forall @t24 (=> @t23 (=> (exists (@list @t22) (and (tptp.member @t22 @t2) (tptp.member @t22 @t17))) (= @t2 @t17)))))))) % 0.16/0.37 (assume @p14 (forall (@list @t4 @t27) (= (tptp.equivalence @t27 @t4) (and (forall @t6 (=> @t5 @t34)) (forall @t24 (=> @t23 (=> @t30 (tptp.apply @t27 @t17 @t2)))) (forall @t33 (=> (and @t5 @t19 (tptp.member @t22 @t4)) @t32)))))) % 0.16/0.37 (assume @p15 (forall (@list @t27 @t15 @t4 @t2) (= (tptp.member @t2 (tptp.equivalence_class @t4 @t15 @t27)) (and @t25 (tptp.apply @t27 @t4 @t2))))) % 0.16/0.37 (assume @p16 @t43) % 0.16/0.37 (assume @p17 @t48) % 0.16/0.37 (assume @p18 true) % 0.16/0.37 (step @p19 :rule aci_norm :args ((= (or @t55 @t54) (or @t53 @t52 @t51 @t50 @t49 @t28)))) % 0.16/0.37 (step @p20 :rule aci_norm :args ((= (or (or @t50 @t49) @t28) @t54))) % 0.16/0.37 (step @p21 :rule refl :args (@t28)) % 0.16/0.37 (step @p22 :rule bool-and-de-morgan :args (@t30 @t29 true)) % 0.16/0.37 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or (not @t31) @t28))) % 0.16/0.37 (step @p24 :rule trans :premises (@p23 @p20)) % 0.16/0.37 (step @p25 :rule bool-impl-elim :args (@t31 @t28)) % 0.16/0.37 (step @p26 :rule trans :premises (@p25 @p24)) % 0.16/0.37 (step @p27 :rule aci_norm :args ((= (or @t53 (or @t52 @t51)) @t55))) % 0.16/0.37 (step @p28 :rule bool-and-de-morgan :args (@t36 @t35 true)) % 0.16/0.37 (step @p29 :rule refl :args (@t53)) % 0.16/0.37 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t53 (not (and @t36 @t35))))) % 0.16/0.37 (step @p31 :rule bool-and-de-morgan :args (@t25 @t36 (and @t35))) % 0.16/0.37 (step @p32 :rule trans :premises (@p31 @p30)) % 0.16/0.37 (step @p33 :rule trans :premises (@p32 @p27)) % 0.16/0.37 (step @p34 :rule nary_cong :premises (@p33 @p26) :args ((or (not @t37) @t32))) % 0.16/0.37 (step @p35 :rule trans :premises (@p34 @p19)) % 0.16/0.37 (step @p36 :rule bool-impl-elim :args (@t37 @t32)) % 0.16/0.37 (step @p37 :rule trans :premises (@p36 @p35)) % 0.16/0.37 (step @p38 :rule cong :premises (@p37) :args (@t38)) % 0.16/0.37 (step @p39 :rule bool-impl-elim :args (@t25 @t34)) % 0.16/0.37 (step @p40 :rule cong :premises (@p39) :args (@t39)) % 0.16/0.37 (step @p41 :rule nary_cong :premises (@p40 @p38) :args (@t40)) % 0.16/0.37 (step @p42 :rule refl :args (@t41)) % 0.16/0.37 (step @p43 :rule cong :premises (@p42 @p41) :args (@t42)) % 0.16/0.37 (step @p44 :rule cong :premises (@p43) :args (@t43)) % 0.16/0.37 (step @p45 :rule eq_resolve :premises (@p16 @p44)) % 0.16/0.37 (step @p46 :rule instantiate :premises (@p45) :args ((@list @t61 @t60))) % 0.16/0.37 (step @p47 :rule aci_norm :args ((= (or (or @t57 @t56) @t44) @t58))) % 0.16/0.37 (step @p48 :rule refl :args (@t44)) % 0.16/0.37 (step @p49 :rule bool-and-de-morgan :args (@t41 @t26 true)) % 0.16/0.37 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or (not @t45) @t44))) % 0.16/0.37 (step @p51 :rule trans :premises (@p50 @p47)) % 0.16/0.37 (step @p52 :rule bool-impl-elim :args (@t45 @t44)) % 0.16/0.37 (step @p53 :rule trans :premises (@p52 @p51)) % 0.16/0.37 (step @p54 :rule cong :premises (@p53) :args (@t47)) % 0.16/0.37 (step @p55 :rule cong :premises (@p54) :args (@t48)) % 0.16/0.37 (step @p56 :rule eq_resolve :premises (@p17 @p55)) % 0.16/0.37 (step @p57 :rule skolemize :premises (@p56)) % 0.16/0.37 (step @p58 :rule bool-double-not-elim :args (@t62)) % 0.16/0.37 (step @p59 :rule refl :args (@t68)) % 0.16/0.37 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t68 (not @t67)))) % 0.16/0.37 (step @p61 :rule cnf_or_neg :args (@t68 0)) % 0.16/0.37 (step @p62 :rule eq_resolve :premises (@p61 @p60)) % 0.16/0.37 (step @p63 :rule reordering :premises (@p62) :args ((or @t62 @t68))) % 0.16/0.37 (step @p64 :rule chain_m_resolution :premises (@p63 @p57) :args (@t62 @t69 @t70)) % 0.16/0.37 (step @p65 :rule cnf_equiv_pos1 :args (@t80)) % 0.16/0.37 (step @p66 :rule reordering :premises (@p65) :args ((or @t67 @t79 (not @t80)))) % 0.16/0.37 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p46) :args (@t79 @t81 (@list @t62 @t80))) % 0.16/0.37 (step @p68 :rule cnf_and_pos :args (@t79 1)) % 0.16/0.37 (step @p69 :rule reordering :premises (@p68) :args ((or @t76 @t82))) % 0.16/0.37 (step @p70 :rule chain_m_resolution :premises (@p69 @p67) :args (@t76 @t83 @t84)) % 0.16/0.37 (step @p71 :rule bool-impl-elim :args (@t5 @t3)) % 0.16/0.37 (step @p72 :rule cong :premises (@p71) :args (@t7)) % 0.16/0.37 (step @p73 :rule refl :args (@t8)) % 0.16/0.37 (step @p74 :rule cong :premises (@p73 @p72) :args (@t9)) % 0.16/0.37 (step @p75 :rule cong :premises (@p74) :args (@t11)) % 0.16/0.37 (step @p76 :rule eq_resolve :premises (@p1 @p75)) % 0.16/0.37 (step @p77 :rule instantiate :premises (@p76) :args ((@list @t63 @t60))) % 0.16/0.37 (step @p78 :rule bool-double-not-elim :args (@t65)) % 0.16/0.37 (step @p79 :rule nary_cong :premises (@p59 @p78) :args ((or @t68 (not @t66)))) % 0.16/0.37 (step @p80 :rule cnf_or_neg :args (@t68 1)) % 0.16/0.37 (step @p81 :rule eq_resolve :premises (@p80 @p79)) % 0.16/0.37 (step @p82 :rule reordering :premises (@p81) :args ((or @t65 @t68))) % 0.16/0.37 (step @p83 :rule chain_m_resolution :premises (@p82 @p57) :args (@t65 @t69 @t70)) % 0.16/0.37 (step @p84 :rule cnf_equiv_pos1 :args (@t87)) % 0.16/0.37 (step @p85 :rule reordering :premises (@p84) :args ((or @t66 @t86 (not @t87)))) % 0.16/0.37 (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p77) :args (@t86 @t81 (@list @t65 @t87))) % 0.16/0.37 (step @p87 :rule instantiate :premises (@p86) :args ((@list @t89))) % 0.16/0.37 (step @p88 :rule bool-double-not-elim :args (@t92)) % 0.16/0.37 (step @p89 :rule refl :args (@t95)) % 0.16/0.37 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or @t95 (not @t94)))) % 0.16/0.37 (step @p91 :rule cnf_or_neg :args (@t95 0)) % 0.16/0.37 (step @p92 :rule eq_resolve :premises (@p91 @p90)) % 0.16/0.37 (step @p93 :rule reordering :premises (@p92) :args ((or @t92 @t95))) % 0.16/0.37 (step @p94 :rule cnf_or_neg :args (@t95 1)) % 0.16/0.37 (step @p95 :rule instantiate :premises (@p86) :args (@t96)) % 0.16/0.37 (step @p96 :rule cnf_or_pos :args (@t98)) % 0.16/0.37 (step @p97 :rule reordering :premises (@p96) :args ((or @t94 @t97 (not @t98)))) % 0.16/0.37 (step @p98 :rule cnf_and_pos :args (@t79 0)) % 0.16/0.37 (step @p99 :rule reordering :premises (@p98) :args ((or @t78 @t82))) % 0.16/0.37 (step @p100 :rule chain_m_resolution :premises (@p99 @p67) :args (@t78 @t83 @t84)) % 0.16/0.37 (step @p101 :rule instantiate :premises (@p100) :args (@t96)) % 0.16/0.37 (step @p102 :rule cnf_or_pos :args (@t100)) % 0.16/0.37 (step @p103 :rule reordering :premises (@p102) :args ((or @t93 @t99 (not @t100)))) % 0.16/0.37 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p97 @p95 @p94 @p93) :args (@t95 (@list false false false true false) (@list @t100 @t97 @t98 @t93 @t92))) % 0.16/0.37 (step @p105 :rule refl :args (@t101)) % 0.16/0.37 (step @p106 :rule bool-double-not-elim :args (@t90)) % 0.16/0.37 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or (not @t102) @t101))) % 0.16/0.37 (assume-push @p186 @t102) % 0.16/0.37 (step @p109 :rule skolemize :premises (@p186)) % 0.16/0.37 (step-pop @p187 :rule scope :premises (@p109)) % 0.16/0.37 (step @p110 :rule process_scope :premises (@p187) :args (@t101)) % 0.16/0.37 (step @p112 :rule implies_elim :premises (@p110)) % 0.16/0.37 (step @p113 :rule eq_resolve :premises (@p112 @p107)) % 0.16/0.37 (step @p114 :rule chain_m_resolution :premises (@p113 @p104) :args (@t90 @t83 (@list @t95))) % 0.16/0.37 (step @p115 :rule instantiate :premises (@p45) :args ((@list @t61 @t63))) % 0.16/0.37 (step @p116 :rule cnf_or_neg :args (@t68 2)) % 0.16/0.37 (step @p117 :rule chain_m_resolution :premises (@p116 @p57) :args ((not @t64) @t69 @t70)) % 0.16/0.37 (step @p118 :rule cnf_equiv_pos2 :args (@t104)) % 0.16/0.37 (step @p119 :rule reordering :premises (@p118) :args ((or @t64 @t105 (not @t104)))) % 0.16/0.37 (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p115) :args (@t105 @t106 (@list @t64 @t104))) % 0.16/0.37 (step @p121 :rule cnf_and_neg :args (@t103)) % 0.16/0.37 (step @p122 :rule chain_m_resolution :premises (@p121 @p120 @p114) :args (@t107 @t106 (@list @t103 @t90))) % 0.16/0.37 (step @p123 :rule refl :args (@t122)) % 0.16/0.37 (step @p124 :rule bool-double-not-elim :args (@t88)) % 0.16/0.37 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or (not @t107) @t122))) % 0.16/0.37 (assume-push @p188 @t107) % 0.16/0.37 (step @p127 :rule skolemize :premises (@p188)) % 0.16/0.37 (step-pop @p189 :rule scope :premises (@p127)) % 0.16/0.37 (step @p128 :rule process_scope :premises (@p189) :args (@t122)) % 0.16/0.37 (step @p130 :rule implies_elim :premises (@p128)) % 0.16/0.37 (step @p131 :rule eq_resolve :premises (@p130 @p125)) % 0.16/0.37 (step @p132 :rule chain_m_resolution :premises (@p131 @p122) :args (@t122 @t69 (@list @t88))) % 0.16/0.37 (step @p133 :rule bool-double-not-elim :args (@t115)) % 0.16/0.37 (step @p134 :rule refl :args (@t121)) % 0.16/0.37 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t121 (not @t116)))) % 0.16/0.37 (step @p136 :rule cnf_or_neg :args (@t121 2)) % 0.16/0.37 (step @p137 :rule eq_resolve :premises (@p136 @p135)) % 0.16/0.37 (step @p138 :rule reordering :premises (@p137) :args ((or @t115 @t121))) % 0.16/0.37 (step @p139 :rule chain_m_resolution :premises (@p138 @p132) :args (@t115 @t69 @t123)) % 0.16/0.37 (step @p140 :rule cnf_or_pos :args (@t125)) % 0.16/0.37 (step @p141 :rule reordering :premises (@p140) :args ((or @t116 @t124 (not @t125)))) % 0.16/0.37 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p87) :args (@t124 @t81 (@list @t115 @t125))) % 0.16/0.37 (step @p143 :rule instantiate :premises (@p86) :args ((@list @t110))) % 0.16/0.37 (step @p144 :rule bool-double-not-elim :args (@t117)) % 0.16/0.37 (step @p145 :rule nary_cong :premises (@p134 @p144) :args ((or @t121 (not @t118)))) % 0.16/0.37 (step @p146 :rule cnf_or_neg :args (@t121 1)) % 0.16/0.37 (step @p147 :rule eq_resolve :premises (@p146 @p145)) % 0.16/0.37 (step @p148 :rule reordering :premises (@p147) :args ((or @t117 @t121))) % 0.16/0.37 (step @p149 :rule chain_m_resolution :premises (@p148 @p132) :args (@t117 @t69 @t123)) % 0.16/0.37 (step @p150 :rule cnf_or_pos :args (@t127)) % 0.16/0.37 (step @p151 :rule reordering :premises (@p150) :args ((or @t118 @t126 (not @t127)))) % 0.16/0.37 (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p143) :args (@t126 @t81 (@list @t117 @t127))) % 0.16/0.37 (step @p153 :rule instantiate :premises (@p86) :args ((@list @t108))) % 0.16/0.37 (step @p154 :rule bool-double-not-elim :args (@t119)) % 0.16/0.37 (step @p155 :rule nary_cong :premises (@p134 @p154) :args ((or @t121 (not @t120)))) % 0.16/0.37 (step @p156 :rule cnf_or_neg :args (@t121 0)) % 0.16/0.37 (step @p157 :rule eq_resolve :premises (@p156 @p155)) % 0.16/0.37 (step @p158 :rule reordering :premises (@p157) :args ((or @t119 @t121))) % 0.16/0.37 (step @p159 :rule chain_m_resolution :premises (@p158 @p132) :args (@t119 @t69 @t123)) % 0.16/0.37 (step @p160 :rule cnf_or_pos :args (@t129)) % 0.16/0.37 (step @p161 :rule reordering :premises (@p160) :args ((or @t120 @t128 (not @t129)))) % 0.16/0.37 (step @p162 :rule chain_m_resolution :premises (@p161 @p159 @p153) :args (@t128 @t81 (@list @t119 @t129))) % 0.16/0.37 (step @p163 :rule cnf_or_neg :args (@t121 5)) % 0.16/0.37 (step @p164 :rule chain_m_resolution :premises (@p163 @p132) :args ((not @t109) @t69 @t123)) % 0.16/0.37 (step @p165 :rule bool-double-not-elim :args (@t111)) % 0.16/0.37 (step @p166 :rule nary_cong :premises (@p134 @p165) :args ((or @t121 (not @t112)))) % 0.16/0.37 (step @p167 :rule cnf_or_neg :args (@t121 4)) % 0.16/0.37 (step @p168 :rule eq_resolve :premises (@p167 @p166)) % 0.16/0.37 (step @p169 :rule reordering :premises (@p168) :args ((or @t111 @t121))) % 0.16/0.37 (step @p170 :rule chain_m_resolution :premises (@p169 @p132) :args (@t111 @t69 @t123)) % 0.16/0.37 (step @p171 :rule bool-double-not-elim :args (@t113)) % 0.16/0.37 (step @p172 :rule nary_cong :premises (@p134 @p171) :args ((or @t121 (not @t114)))) % 0.16/0.37 (step @p173 :rule cnf_or_neg :args (@t121 3)) % 0.16/0.37 (step @p174 :rule eq_resolve :premises (@p173 @p172)) % 0.16/0.37 (step @p175 :rule reordering :premises (@p174) :args ((or @t113 @t121))) % 0.16/0.37 (step @p176 :rule chain_m_resolution :premises (@p175 @p132) :args (@t113 @t69 @t123)) % 0.16/0.37 (step @p177 :rule cnf_or_pos :args (@t133)) % 0.16/0.37 (step @p178 :rule reordering :premises (@p177) :args ((or @t114 @t112 @t109 @t132 @t131 @t130 @t134))) % 0.16/0.37 (step @p179 :rule chain_m_resolution :premises (@p178 @p176 @p170 @p164 @p162 @p152 @p142) :args (@t134 (@list false false true false false false) (@list @t113 @t111 @t109 @t128 @t126 @t124))) % 0.16/0.37 (assume-push @p190 @t76) % 0.16/0.37 (step @p181 :rule instantiate :premises (@p70) :args ((@list @t108 @t110 @t89))) % 0.16/0.37 (step-pop @p191 :rule scope :premises (@p181)) % 0.16/0.37 (step @p182 :rule process_scope :premises (@p191) :args (@t133)) % 0.16/0.37 (step @p184 :rule implies_elim :premises (@p182)) % 0.16/0.37 (step @p185 false :rule chain_m_resolution :premises (@p184 @p179 @p70) :args (false @t106 (@list @t133 @t76))) % 0.16/0.37 ) % 0.16/0.37 % SZS output end Proof % 0.16/0.37 % cvc5 exiting %------------------------------------------------------------------------------