%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET017+1 : TPTP v9.2.1. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:46:58 AM UTC 2026 % Result : Theorem 3.85s 4.12s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET017+1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n002.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 14:40:48 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 3.85/4.12 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 3.85/4.12 % SZS status Theorem % 3.85/4.12 % SZS output start Proof % 3.85/4.12 ( % 3.85/4.12 (declare-sort $$unsorted 0) % 3.85/4.12 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 3.85/4.12 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 3.85/4.12 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.85/4.12 (declare-const tptp.element_relation $$unsorted) % 3.85/4.12 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 3.85/4.12 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 3.85/4.12 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 3.85/4.12 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 3.85/4.12 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 3.85/4.12 (declare-const tptp.universal_class $$unsorted) % 3.85/4.12 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 3.85/4.12 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 3.85/4.12 (declare-const tptp.inductive (-> $$unsorted Bool)) % 3.85/4.12 (declare-const tptp.function (-> $$unsorted Bool)) % 3.85/4.12 (declare-const tptp.subclass (-> $$unsorted $$unsorted Bool)) % 3.85/4.12 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 3.85/4.12 (declare-const tptp.sum_class (-> $$unsorted $$unsorted)) % 3.85/4.12 (declare-const tptp.null_class $$unsorted) % 3.85/4.12 (declare-const tptp.rotate (-> $$unsorted $$unsorted)) % 3.85/4.12 (declare-const tptp.flip (-> $$unsorted $$unsorted)) % 3.85/4.12 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 3.85/4.12 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 3.85/4.12 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 3.85/4.12 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 3.85/4.12 (declare-const tptp.successor_relation $$unsorted) % 3.85/4.12 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 3.85/4.12 (declare-const tptp.power_class (-> $$unsorted $$unsorted)) % 3.85/4.12 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 3.85/4.12 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 3.85/4.12 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 3.85/4.12 (declare-const tptp.identity_relation $$unsorted) % 3.85/4.12 (define @t1 () (@var "Y" $$unsorted)) % 3.85/4.12 (define @t2 () (@var "U" $$unsorted)) % 3.85/4.12 (define @t3 () (tptp.member @t2 @t1)) % 3.85/4.12 (define @t4 () (@var "X" $$unsorted)) % 3.85/4.12 (define @t5 () (tptp.member @t2 @t4)) % 3.85/4.12 (define @t6 () (@list @t2)) % 3.85/4.12 (define @t7 () (tptp.subclass @t4 @t1)) % 3.85/4.12 (define @t8 () (@list @t4 @t1)) % 3.85/4.12 (define @t9 () (@list @t4)) % 3.85/4.12 (define @t10 () (or (= @t2 @t4) (= @t2 @t1))) % 3.85/4.12 (define @t11 () (tptp.member @t2 tptp.universal_class)) % 3.85/4.12 (define @t12 () (and @t11 @t10)) % 3.85/4.12 (define @t13 () (tptp.unordered_pair @t4 @t1)) % 3.85/4.12 (define @t14 () (tptp.member @t2 @t13)) % 3.85/4.12 (define @t15 () (= @t14 @t12)) % 3.85/4.12 (define @t16 () (@list @t2 @t4 @t1)) % 3.85/4.12 (define @t17 () (forall @t16 @t15)) % 3.85/4.12 (define @t18 () (tptp.singleton @t4)) % 3.85/4.12 (define @t19 () (tptp.singleton @t1)) % 3.85/4.12 (define @t20 () (tptp.ordered_pair @t4 @t1)) % 3.85/4.12 (define @t21 () (@var "V" $$unsorted)) % 3.85/4.12 (define @t22 () (tptp.cross_product @t4 @t1)) % 3.85/4.12 (define @t23 () (tptp.ordered_pair @t2 @t21)) % 3.85/4.12 (define @t24 () (tptp.member @t1 tptp.universal_class)) % 3.85/4.12 (define @t25 () (tptp.member @t4 tptp.universal_class)) % 3.85/4.12 (define @t26 () (@var "Z" $$unsorted)) % 3.85/4.12 (define @t27 () (@list @t4 @t1 @t26)) % 3.85/4.12 (define @t28 () (tptp.cross_product tptp.universal_class tptp.universal_class)) % 3.85/4.12 (define @t29 () (tptp.member @t26 @t1)) % 3.85/4.12 (define @t30 () (tptp.member @t26 @t4)) % 3.85/4.12 (define @t31 () (tptp.member @t26 tptp.universal_class)) % 3.85/4.12 (define @t32 () (@list @t4 @t26)) % 3.85/4.12 (define @t33 () (@var "XR" $$unsorted)) % 3.85/4.12 (define @t34 () (@var "W" $$unsorted)) % 3.85/4.12 (define @t35 () (tptp.cross_product @t28 tptp.universal_class)) % 3.85/4.12 (define @t36 () (tptp.ordered_pair @t23 @t34)) % 3.85/4.12 (define @t37 () (tptp.member @t36 @t35)) % 3.85/4.12 (define @t38 () (tptp.rotate @t4)) % 3.85/4.12 (define @t39 () (tptp.flip @t4)) % 3.85/4.12 (define @t40 () (tptp.successor @t4)) % 3.85/4.12 (define @t41 () (@list @t1)) % 3.85/4.12 (define @t42 () (@list @t26)) % 3.85/4.12 (define @t43 () (tptp.inductive @t4)) % 3.85/4.12 (define @t44 () (tptp.sum_class @t4)) % 3.85/4.12 (define @t45 () (@list @t2 @t4)) % 3.85/4.12 (define @t46 () (@var "YR" $$unsorted)) % 3.85/4.12 (define @t47 () (tptp.compose @t46 @t33)) % 3.85/4.12 (define @t48 () (@var "XF" $$unsorted)) % 3.85/4.12 (define @t49 () (tptp.function @t48)) % 3.85/4.12 (define @t50 () (@list @t48)) % 3.85/4.12 (define @t51 () (tptp.apply @t48 @t1)) % 3.85/4.12 (define @t52 () (= @t1 @t26)) % 3.85/4.12 (define @t53 () (= @t13 (tptp.unordered_pair @t4 @t26))) % 3.85/4.12 (define @t54 () (and @t24 @t31 @t53)) % 3.85/4.12 (define @t55 () (forall @t27 (=> @t54 @t52))) % 3.85/4.12 (define @t56 () (not @t55)) % 3.85/4.12 (define @t57 () (not @t53)) % 3.85/4.12 (define @t58 () (not @t31)) % 3.85/4.12 (define @t59 () (not @t24)) % 3.85/4.12 (define @t60 () (or @t59 @t58 @t57 @t52)) % 3.85/4.12 (define @t61 () (forall @t27 @t60)) % 3.85/4.12 (define @t62 () (@quantifiers_skolemize @t61 2)) % 3.85/4.12 (define @t63 () (@quantifiers_skolemize @t61 0)) % 3.85/4.12 (define @t64 () (tptp.unordered_pair @t63 @t62)) % 3.85/4.12 (define @t65 () (tptp.member @t62 @t64)) % 3.85/4.12 (define @t66 () (tptp.member @t62 tptp.universal_class)) % 3.85/4.12 (define @t67 () (= @t63 @t62)) % 3.85/4.12 (define @t68 () (or @t67 (= @t62 @t62))) % 3.85/4.12 (define @t69 () (and @t66 @t68)) % 3.85/4.12 (define @t70 () (= @t65 @t69)) % 3.85/4.12 (define @t71 () (forall @t16 (= @t14 (and @t11 (or (= @t4 @t2) (= @t1 @t2)))))) % 3.85/4.12 (define @t72 () (= @t66 @t65)) % 3.85/4.12 (define @t73 () (@list false)) % 3.85/4.12 (define @t74 () (@list @t71)) % 3.85/4.12 (define @t75 () (or @t59 @t58 @t57)) % 3.85/4.12 (define @t76 () (@quantifiers_skolemize @t61 1)) % 3.85/4.12 (define @t77 () (= @t76 @t62)) % 3.85/4.12 (define @t78 () (tptp.unordered_pair @t63 @t76)) % 3.85/4.12 (define @t79 () (= @t78 @t64)) % 3.85/4.12 (define @t80 () (not @t79)) % 3.85/4.12 (define @t81 () (not @t66)) % 3.85/4.12 (define @t82 () (tptp.member @t76 tptp.universal_class)) % 3.85/4.12 (define @t83 () (not @t82)) % 3.85/4.12 (define @t84 () (or @t83 @t81 @t80 @t77)) % 3.85/4.12 (define @t85 () (@list true)) % 3.85/4.12 (define @t86 () (@list @t84)) % 3.85/4.12 (define @t87 () (@list false false)) % 3.85/4.12 (define @t88 () (tptp.member @t62 @t78)) % 3.85/4.12 (define @t89 () (= @t63 @t76)) % 3.85/4.12 (define @t90 () (or @t89 (= @t62 @t76))) % 3.85/4.12 (define @t91 () (and @t82 @t90)) % 3.85/4.12 (define @t92 () (tptp.member @t76 @t64)) % 3.85/4.12 (define @t93 () (= @t92 @t91)) % 3.85/4.12 (define @t94 () (or @t89 @t77)) % 3.85/4.12 (define @t95 () (and @t82 @t94)) % 3.85/4.12 (define @t96 () (= @t92 @t95)) % 3.85/4.12 (define @t97 () (tptp.member @t76 @t78)) % 3.85/4.12 (define @t98 () (or @t89 (= @t76 @t76))) % 3.85/4.12 (define @t99 () (and @t82 @t98)) % 3.85/4.12 (define @t100 () (= @t97 @t99)) % 3.85/4.12 (define @t101 () (= @t82 @t97)) % 3.85/4.12 (define @t102 () (@list true false)) % 3.85/4.12 (define @t103 () (or @t67 @t77)) % 3.85/4.12 (define @t104 () (not @t103)) % 3.85/4.12 (define @t105 () (and @t66 @t103)) % 3.85/4.12 (define @t106 () (not @t105)) % 3.85/4.12 (define @t107 () (= @t88 @t105)) % 3.85/4.12 (define @t108 () (not @t88)) % 3.85/4.12 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 3.85/4.12 (assume @p2 (forall @t9 (tptp.subclass @t4 tptp.universal_class))) % 3.85/4.12 (assume @p3 (forall @t8 (= (= @t4 @t1) (and @t7 (tptp.subclass @t1 @t4))))) % 3.85/4.12 (assume @p4 @t17) % 3.85/4.12 (assume @p5 (forall @t8 (tptp.member @t13 tptp.universal_class))) % 3.85/4.12 (assume @p6 (forall @t9 (= @t18 (tptp.unordered_pair @t4 @t4)))) % 3.85/4.12 (assume @p7 (forall @t8 (= @t20 (tptp.unordered_pair @t18 (tptp.unordered_pair @t4 @t19))))) % 3.85/4.12 (assume @p8 (forall (@list @t2 @t21 @t4 @t1) (= (tptp.member @t23 @t22) (and @t5 (tptp.member @t21 @t1))))) % 3.85/4.12 (assume @p9 (forall @t8 (=> (and @t25 @t24) (and (= (tptp.first @t20) @t4) (= (tptp.second @t20) @t1))))) % 3.85/4.12 (assume @p10 (forall @t27 (=> (tptp.member @t26 @t22) (= @t26 (tptp.ordered_pair (tptp.first @t26) (tptp.second @t26)))))) % 3.85/4.12 (assume @p11 (forall @t8 (= (tptp.member @t20 tptp.element_relation) (and @t24 (tptp.member @t4 @t1))))) % 3.85/4.12 (assume @p12 (tptp.subclass tptp.element_relation @t28)) % 3.85/4.12 (assume @p13 (forall @t27 (= (tptp.member @t26 (tptp.intersection @t4 @t1)) (and @t30 @t29)))) % 3.85/4.12 (assume @p14 (forall @t32 (= (tptp.member @t26 (tptp.complement @t4)) (and @t31 (not @t30))))) % 3.85/4.12 (assume @p15 (forall (@list @t4 @t33 @t1) (= (tptp.restrict @t33 @t4 @t1) (tptp.intersection @t33 @t22)))) % 3.85/4.12 (assume @p16 (forall @t9 (not (tptp.member @t4 tptp.null_class)))) % 3.85/4.12 (assume @p17 (forall @t32 (= (tptp.member @t26 (tptp.domain_of @t4)) (and @t31 (not (= (tptp.restrict @t4 (tptp.singleton @t26) tptp.universal_class) tptp.null_class)))))) % 3.85/4.12 (assume @p18 (forall (@list @t4 @t2 @t21 @t34) (= (tptp.member @t36 @t38) (and @t37 (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t21 @t34) @t2) @t4))))) % 3.85/4.12 (assume @p19 (forall @t9 (tptp.subclass @t38 @t35))) % 3.85/4.12 (assume @p20 (forall (@list @t2 @t21 @t34 @t4) (= (tptp.member @t36 @t39) (and @t37 (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t21 @t2) @t34) @t4))))) % 3.85/4.12 (assume @p21 (forall @t9 (tptp.subclass @t39 @t35))) % 3.85/4.12 (assume @p22 (forall @t27 (= (tptp.member @t26 (tptp.union @t4 @t1)) (or @t30 @t29)))) % 3.85/4.12 (assume @p23 (forall @t9 (= @t40 (tptp.union @t4 @t18)))) % 3.85/4.12 (assume @p24 (tptp.subclass tptp.successor_relation @t28)) % 3.85/4.12 (assume @p25 (forall @t8 (= (tptp.member @t20 tptp.successor_relation) (and @t25 @t24 (= @t40 @t1))))) % 3.85/4.12 (assume @p26 (forall @t41 (= (tptp.inverse @t1) (tptp.domain_of (tptp.flip (tptp.cross_product @t1 tptp.universal_class)))))) % 3.85/4.12 (assume @p27 (forall @t42 (= (tptp.range_of @t26) (tptp.domain_of (tptp.inverse @t26))))) % 3.85/4.12 (assume @p28 (forall (@list @t4 @t33) (= (tptp.image @t33 @t4) (tptp.range_of (tptp.restrict @t33 @t4 tptp.universal_class))))) % 3.85/4.12 (assume @p29 (forall @t9 (= @t43 (and (tptp.member tptp.null_class @t4) (tptp.subclass (tptp.image tptp.successor_relation @t4) @t4))))) % 3.85/4.12 (assume @p30 (exists @t9 (and @t25 @t43 (forall @t41 (=> (tptp.inductive @t1) @t7))))) % 3.85/4.12 (assume @p31 (forall @t45 (= (tptp.member @t2 @t44) (exists @t41 (and @t3 (tptp.member @t1 @t4)))))) % 3.85/4.12 (assume @p32 (forall @t9 (=> @t25 (tptp.member @t44 tptp.universal_class)))) % 3.85/4.12 (assume @p33 (forall @t45 (= (tptp.member @t2 (tptp.power_class @t4)) (and @t11 (tptp.subclass @t2 @t4))))) % 3.85/4.12 (assume @p34 (forall @t6 (=> @t11 (tptp.member (tptp.power_class @t2) tptp.universal_class)))) % 3.85/4.12 (assume @p35 (forall (@list @t33 @t46) (tptp.subclass @t47 @t28))) % 3.85/4.12 (assume @p36 (forall (@list @t33 @t46 @t2 @t21) (= (tptp.member @t23 @t47) (and @t11 (tptp.member @t21 (tptp.image @t46 (tptp.image @t33 (tptp.singleton @t2)))))))) % 3.85/4.12 (assume @p37 (forall @t42 (= (tptp.member @t26 tptp.identity_relation) (exists @t9 (and @t25 (= @t26 (tptp.ordered_pair @t4 @t4))))))) % 3.85/4.12 (assume @p38 (forall @t50 (= @t49 (and (tptp.subclass @t48 @t28) (tptp.subclass (tptp.compose @t48 (tptp.inverse @t48)) tptp.identity_relation))))) % 3.85/4.12 (assume @p39 (forall (@list @t4 @t48) (=> (and @t25 @t49) (tptp.member (tptp.image @t48 @t4) tptp.universal_class)))) % 3.85/4.12 (assume @p40 (forall @t8 (= (tptp.disjoint @t4 @t1) (forall @t6 (not (and @t5 @t3)))))) % 3.85/4.12 (assume @p41 (forall @t9 (=> (not (= @t4 tptp.null_class)) (exists @t6 (and @t11 @t5 (tptp.disjoint @t2 @t4)))))) % 3.85/4.12 (assume @p42 (forall (@list @t48 @t1) (= @t51 (tptp.sum_class (tptp.image @t48 @t19))))) % 3.85/4.12 (assume @p43 (exists @t50 (and @t49 (forall @t41 (=> @t24 (or (= @t1 tptp.null_class) (tptp.member @t51 @t1))))))) % 3.85/4.12 (assume @p44 @t56) % 3.85/4.12 (assume @p45 true) % 3.85/4.12 (step @p46 :rule evaluate :args ((= false true))) % 3.85/4.12 (step @p47 :rule eq-symm :args (@t2 @t1)) % 3.85/4.12 (step @p48 :rule eq-symm :args (@t2 @t4)) % 3.85/4.12 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t10)) % 3.85/4.12 (step @p50 :rule refl :args (@t11)) % 3.85/4.12 (step @p51 :rule nary_cong :premises (@p50 @p49) :args (@t12)) % 3.85/4.12 (step @p52 :rule refl :args (@t14)) % 3.85/4.12 (step @p53 :rule cong :premises (@p52 @p51) :args (@t15)) % 3.85/4.12 (step @p54 :rule cong :premises (@p53) :args (@t17)) % 3.85/4.12 (step @p55 :rule eq_resolve :premises (@p4 @p54)) % 3.85/4.12 (step @p56 :rule eq-symm :args (@t65 @t66)) % 3.85/4.12 (step @p57 :rule aci_norm :args ((= (and @t66 true) @t66))) % 3.85/4.12 (step @p58 :rule absorb :args ((= (or @t67 true) true))) % 3.85/4.12 (step @p59 :rule eq-refl :args (@t62)) % 3.85/4.12 (step @p60 :rule refl :args (@t67)) % 3.85/4.12 (step @p61 :rule nary_cong :premises (@p60 @p59) :args (@t68)) % 3.85/4.12 (step @p62 :rule trans :premises (@p61 @p58)) % 3.85/4.12 (step @p63 :rule refl :args (@t66)) % 3.85/4.12 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t69)) % 3.85/4.12 (step @p65 :rule trans :premises (@p64 @p57)) % 3.85/4.12 (step @p66 :rule refl :args (@t65)) % 3.85/4.12 (step @p67 :rule cong :premises (@p66 @p65) :args (@t70)) % 3.85/4.12 (step @p68 :rule trans :premises (@p67 @p56)) % 3.85/4.12 (step @p69 :rule refl :args (@t71)) % 3.85/4.12 (step @p70 :rule cong :premises (@p69 @p68) :args ((=> @t71 @t70))) % 3.85/4.12 (assume-push @p192 @t71) % 3.85/4.12 (step @p72 :rule instantiate :premises (@p55) :args ((@list @t62 @t63 @t62))) % 3.85/4.12 (step-pop @p193 :rule scope :premises (@p72)) % 3.85/4.12 (step @p73 :rule process_scope :premises (@p193) :args (@t70)) % 3.85/4.12 (step @p75 :rule eq_resolve :premises (@p73 @p70)) % 3.85/4.12 (step @p76 :rule implies_elim :premises (@p75)) % 3.85/4.12 (step @p77 :rule chain_m_resolution :premises (@p76 @p55) :args (@t72 @t73 @t74)) % 3.85/4.12 (step @p78 :rule aci_norm :args ((= (or @t75 @t52) @t60))) % 3.85/4.12 (step @p79 :rule refl :args (@t52)) % 3.85/4.12 (step @p80 :rule aci_norm :args ((= (or @t59 (or @t58 @t57)) @t75))) % 3.85/4.12 (step @p81 :rule bool-and-de-morgan :args (@t31 @t53 true)) % 3.85/4.12 (step @p82 :rule refl :args (@t59)) % 3.85/4.12 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t59 (not (and @t31 @t53))))) % 3.85/4.12 (step @p84 :rule bool-and-de-morgan :args (@t24 @t31 (and @t53))) % 3.85/4.12 (step @p85 :rule trans :premises (@p84 @p83)) % 3.85/4.12 (step @p86 :rule trans :premises (@p85 @p80)) % 3.85/4.12 (step @p87 :rule nary_cong :premises (@p86 @p79) :args ((or (not @t54) @t52))) % 3.85/4.12 (step @p88 :rule trans :premises (@p87 @p78)) % 3.85/4.12 (step @p89 :rule bool-impl-elim :args (@t54 @t52)) % 3.85/4.12 (step @p90 :rule trans :premises (@p89 @p88)) % 3.85/4.12 (step @p91 :rule cong :premises (@p90) :args (@t55)) % 3.85/4.12 (step @p92 :rule cong :premises (@p91) :args (@t56)) % 3.85/4.12 (step @p93 :rule eq_resolve :premises (@p44 @p92)) % 3.85/4.12 (step @p94 :rule skolemize :premises (@p93)) % 3.85/4.12 (step @p95 :rule bool-double-not-elim :args (@t66)) % 3.85/4.12 (step @p96 :rule refl :args (@t84)) % 3.85/4.12 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t84 (not @t81)))) % 3.85/4.12 (step @p98 :rule cnf_or_neg :args (@t84 1)) % 3.85/4.12 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 3.85/4.12 (step @p100 :rule reordering :premises (@p99) :args ((or @t66 @t84))) % 3.85/4.12 (step @p101 :rule chain_m_resolution :premises (@p100 @p94) :args (@t66 @t85 @t86)) % 3.85/4.12 (step @p102 :rule cnf_equiv_pos1 :args (@t72)) % 3.85/4.12 (step @p103 :rule reordering :premises (@p102) :args ((or @t81 @t65 (not @t72)))) % 3.85/4.12 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p77) :args (@t65 @t87 (@list @t66 @t72))) % 3.85/4.12 (step @p105 :rule true_intro :premises (@p104)) % 3.85/4.12 (step @p106 :rule bool-double-not-elim :args (@t79)) % 3.85/4.12 (step @p107 :rule nary_cong :premises (@p96 @p106) :args ((or @t84 (not @t80)))) % 3.85/4.12 (step @p108 :rule cnf_or_neg :args (@t84 2)) % 3.85/4.12 (step @p109 :rule eq_resolve :premises (@p108 @p107)) % 3.85/4.12 (step @p110 :rule reordering :premises (@p109) :args ((or @t79 @t84))) % 3.85/4.12 (step @p111 :rule chain_m_resolution :premises (@p110 @p94) :args (@t79 @t85 @t86)) % 3.85/4.12 (step @p112 :rule refl :args (@t62)) % 3.85/4.12 (step @p113 :rule cong :premises (@p112 @p111) :args (@t88)) % 3.85/4.12 (step @p114 :rule instantiate :premises (@p55) :args ((@list @t62 @t63 @t76))) % 3.85/4.12 (step @p115 :rule cnf_or_neg :args (@t84 3)) % 3.85/4.12 (step @p116 :rule chain_m_resolution :premises (@p115 @p94) :args ((not @t77) @t85 @t86)) % 3.85/4.12 (step @p117 :rule false_intro :premises (@p116)) % 3.85/4.12 (step @p118 :rule eq-symm :args (@t62 @t76)) % 3.85/4.12 (step @p119 :rule refl :args (@t89)) % 3.85/4.12 (step @p120 :rule nary_cong :premises (@p119 @p118) :args (@t90)) % 3.85/4.12 (step @p121 :rule refl :args (@t82)) % 3.85/4.12 (step @p122 :rule nary_cong :premises (@p121 @p120) :args (@t91)) % 3.85/4.12 (step @p123 :rule refl :args (@t92)) % 3.85/4.12 (step @p124 :rule cong :premises (@p123 @p122) :args (@t93)) % 3.85/4.12 (step @p125 :rule cong :premises (@p69 @p124) :args ((=> @t71 @t93))) % 3.85/4.12 (assume-push @p194 @t71) % 3.85/4.12 (step @p127 :rule instantiate :premises (@p55) :args ((@list @t76 @t63 @t62))) % 3.85/4.12 (step-pop @p195 :rule scope :premises (@p127)) % 3.85/4.12 (step @p128 :rule process_scope :premises (@p195) :args (@t93)) % 3.85/4.12 (step @p130 :rule eq_resolve :premises (@p128 @p125)) % 3.85/4.12 (step @p131 :rule implies_elim :premises (@p130)) % 3.85/4.12 (step @p132 :rule chain_m_resolution :premises (@p131 @p55) :args (@t96 @t73 @t74)) % 3.85/4.12 (step @p133 :rule eq-symm :args (@t97 @t82)) % 3.85/4.12 (step @p134 :rule aci_norm :args ((= (and @t82 true) @t82))) % 3.85/4.12 (step @p135 :rule absorb :args ((= (or @t89 true) true))) % 3.85/4.12 (step @p136 :rule eq-refl :args (@t76)) % 3.85/4.12 (step @p137 :rule nary_cong :premises (@p119 @p136) :args (@t98)) % 3.85/4.12 (step @p138 :rule trans :premises (@p137 @p135)) % 3.85/4.12 (step @p139 :rule nary_cong :premises (@p121 @p138) :args (@t99)) % 3.85/4.12 (step @p140 :rule trans :premises (@p139 @p134)) % 3.85/4.12 (step @p141 :rule refl :args (@t97)) % 3.85/4.12 (step @p142 :rule cong :premises (@p141 @p140) :args (@t100)) % 3.85/4.12 (step @p143 :rule trans :premises (@p142 @p133)) % 3.85/4.12 (step @p144 :rule cong :premises (@p69 @p143) :args ((=> @t71 @t100))) % 3.85/4.12 (assume-push @p196 @t71) % 3.85/4.12 (step @p146 :rule instantiate :premises (@p55) :args ((@list @t76 @t63 @t76))) % 3.85/4.12 (step-pop @p197 :rule scope :premises (@p146)) % 3.85/4.12 (step @p147 :rule process_scope :premises (@p197) :args (@t100)) % 3.85/4.12 (step @p149 :rule eq_resolve :premises (@p147 @p144)) % 3.85/4.12 (step @p150 :rule implies_elim :premises (@p149)) % 3.85/4.12 (step @p151 :rule chain_m_resolution :premises (@p150 @p55) :args (@t101 @t73 @t74)) % 3.85/4.12 (step @p152 :rule bool-double-not-elim :args (@t82)) % 3.85/4.12 (step @p153 :rule nary_cong :premises (@p96 @p152) :args ((or @t84 (not @t83)))) % 0.36/4.14 (step @p154 :rule cnf_or_neg :args (@t84 0)) % 0.36/4.14 (step @p155 :rule eq_resolve :premises (@p154 @p153)) % 0.36/4.14 (step @p156 :rule reordering :premises (@p155) :args ((or @t82 @t84))) % 0.36/4.14 (step @p157 :rule chain_m_resolution :premises (@p156 @p94) :args (@t82 @t85 @t86)) % 0.36/4.14 (step @p158 :rule cnf_equiv_pos1 :args (@t101)) % 0.36/4.14 (step @p159 :rule reordering :premises (@p158) :args ((or @t83 @t97 (not @t101)))) % 0.36/4.14 (step @p160 :rule chain_m_resolution :premises (@p159 @p157 @p151) :args (@t97 @t87 (@list @t82 @t101))) % 0.36/4.14 (step @p161 :rule true_intro :premises (@p160)) % 0.36/4.14 (step @p162 :rule symm :premises (@p111)) % 0.36/4.14 (step @p163 :rule refl :args (@t76)) % 0.36/4.14 (step @p164 :rule cong :premises (@p163 @p162) :args (@t92)) % 0.36/4.14 (step @p165 :rule trans :premises (@p164 @p161)) % 0.36/4.14 (step @p166 :rule true_elim :premises (@p165)) % 0.36/4.14 (step @p167 :rule cnf_equiv_pos1 :args (@t96)) % 0.36/4.14 (step @p168 :rule reordering :premises (@p167) :args ((or @t95 (not @t92) (not @t96)))) % 0.36/4.14 (step @p169 :rule chain_m_resolution :premises (@p168 @p166 @p132) :args (@t95 @t87 (@list @t92 @t96))) % 0.36/4.14 (step @p170 :rule cnf_and_pos :args (@t95 1)) % 0.36/4.14 (step @p171 :rule reordering :premises (@p170) :args ((or @t94 (not @t95)))) % 0.36/4.14 (step @p172 :rule chain_m_resolution :premises (@p171 @p169) :args (@t94 @t73 (@list @t95))) % 0.36/4.14 (step @p173 :rule cnf_or_pos :args (@t94)) % 0.36/4.14 (step @p174 :rule reordering :premises (@p173) :args ((or @t77 @t89 (not @t94)))) % 0.36/4.14 (step @p175 :rule chain_m_resolution :premises (@p174 @p116 @p172) :args (@t89 @t102 (@list @t77 @t94))) % 0.36/4.14 (step @p176 :rule cong :premises (@p175 @p112) :args (@t67)) % 0.36/4.14 (step @p177 :rule trans :premises (@p176 @p117)) % 0.36/4.14 (step @p178 :rule false_elim :premises (@p177)) % 0.36/4.14 (step @p179 :rule cnf_or_pos :args (@t103)) % 0.36/4.14 (step @p180 :rule reordering :premises (@p179) :args ((or @t77 @t67 @t104))) % 0.36/4.14 (step @p181 :rule chain_m_resolution :premises (@p180 @p116 @p178) :args (@t104 (@list true true) (@list @t77 @t67))) % 0.36/4.14 (step @p182 :rule cnf_and_pos :args (@t105 1)) % 0.36/4.14 (step @p183 :rule reordering :premises (@p182) :args ((or @t103 @t106))) % 0.36/4.14 (step @p184 :rule chain_m_resolution :premises (@p183 @p181) :args (@t106 @t85 (@list @t103))) % 0.36/4.14 (step @p185 :rule cnf_equiv_pos1 :args (@t107)) % 0.36/4.14 (step @p186 :rule reordering :premises (@p185) :args ((or @t105 @t108 (not @t107)))) % 0.36/4.14 (step @p187 :rule chain_m_resolution :premises (@p186 @p184 @p114) :args (@t108 @t102 (@list @t105 @t107))) % 0.36/4.14 (step @p188 :rule false_intro :premises (@p187)) % 0.36/4.14 (step @p189 :rule symm :premises (@p188)) % 0.36/4.14 (step @p190 :rule trans :premises (@p189 @p113 @p105)) % 0.36/4.14 (step @p191 false :rule eq_resolve :premises (@p190 @p46)) % 0.36/4.14 ) % 0.36/4.14 % SZS output end Proof % 0.36/4.14 % cvc5 exiting %------------------------------------------------------------------------------