%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET061+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 : n019.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 08:47:11 AM UTC 2026 % Result : Theorem 15.94s 16.14s % Output : Proof 15.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET061+1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.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 14:49:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.94/16.14 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.94/16.14 --- Run --no-e-matching --full-saturate-quant at 6... % 15.94/16.14 % SZS status Theorem % 15.94/16.14 % SZS output start Proof % 15.94/16.14 ( % 15.94/16.14 (declare-sort $$unsorted 0) % 15.94/16.14 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 15.94/16.14 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 15.94/16.14 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.94/16.14 (declare-const tptp.element_relation $$unsorted) % 15.94/16.14 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 15.94/16.14 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 15.94/16.14 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 15.94/16.14 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 15.94/16.14 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.94/16.14 (declare-const tptp.universal_class $$unsorted) % 15.94/16.14 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 15.94/16.14 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.94/16.14 (declare-const tptp.inductive (-> $$unsorted Bool)) % 15.94/16.14 (declare-const tptp.function (-> $$unsorted Bool)) % 15.94/16.14 (declare-const tptp.subclass (-> $$unsorted $$unsorted Bool)) % 15.94/16.14 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 15.94/16.14 (declare-const tptp.sum_class (-> $$unsorted $$unsorted)) % 15.94/16.14 (declare-const tptp.null_class $$unsorted) % 15.94/16.14 (declare-const tptp.rotate (-> $$unsorted $$unsorted)) % 15.94/16.14 (declare-const tptp.flip (-> $$unsorted $$unsorted)) % 15.94/16.14 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 15.94/16.14 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 15.94/16.14 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 15.94/16.14 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 15.94/16.14 (declare-const tptp.successor_relation $$unsorted) % 15.94/16.14 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 15.94/16.14 (declare-const tptp.power_class (-> $$unsorted $$unsorted)) % 15.94/16.14 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 15.94/16.14 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 15.94/16.14 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 15.94/16.14 (declare-const tptp.identity_relation $$unsorted) % 15.94/16.14 (define @t1 () (@var "Y" $$unsorted)) % 15.94/16.14 (define @t2 () (@var "U" $$unsorted)) % 15.94/16.14 (define @t3 () (tptp.member @t2 @t1)) % 15.94/16.14 (define @t4 () (@var "X" $$unsorted)) % 15.94/16.14 (define @t5 () (tptp.member @t2 @t4)) % 15.94/16.14 (define @t6 () (@list @t2)) % 15.94/16.14 (define @t7 () (tptp.subclass @t4 @t1)) % 15.94/16.14 (define @t8 () (@list @t4 @t1)) % 15.94/16.14 (define @t9 () (@list @t4)) % 15.94/16.14 (define @t10 () (or (= @t2 @t4) (= @t2 @t1))) % 15.94/16.14 (define @t11 () (tptp.member @t2 tptp.universal_class)) % 15.94/16.14 (define @t12 () (and @t11 @t10)) % 15.94/16.14 (define @t13 () (tptp.unordered_pair @t4 @t1)) % 15.94/16.14 (define @t14 () (tptp.member @t2 @t13)) % 15.94/16.14 (define @t15 () (= @t14 @t12)) % 15.94/16.14 (define @t16 () (@list @t2 @t4 @t1)) % 15.94/16.14 (define @t17 () (forall @t16 @t15)) % 15.94/16.14 (define @t18 () (tptp.singleton @t4)) % 15.94/16.14 (define @t19 () (tptp.singleton @t1)) % 15.94/16.14 (define @t20 () (tptp.ordered_pair @t4 @t1)) % 15.94/16.14 (define @t21 () (@var "V" $$unsorted)) % 15.94/16.14 (define @t22 () (tptp.cross_product @t4 @t1)) % 15.94/16.14 (define @t23 () (tptp.ordered_pair @t2 @t21)) % 15.94/16.14 (define @t24 () (tptp.member @t1 tptp.universal_class)) % 15.94/16.14 (define @t25 () (tptp.member @t4 tptp.universal_class)) % 15.94/16.14 (define @t26 () (@var "Z" $$unsorted)) % 15.94/16.14 (define @t27 () (@list @t4 @t1 @t26)) % 15.94/16.14 (define @t28 () (tptp.cross_product tptp.universal_class tptp.universal_class)) % 15.94/16.14 (define @t29 () (tptp.member @t26 @t1)) % 15.94/16.14 (define @t30 () (tptp.member @t26 @t4)) % 15.94/16.14 (define @t31 () (not @t30)) % 15.94/16.14 (define @t32 () (tptp.member @t26 tptp.universal_class)) % 15.94/16.14 (define @t33 () (@list @t4 @t26)) % 15.94/16.14 (define @t34 () (@var "XR" $$unsorted)) % 15.94/16.14 (define @t35 () (@var "W" $$unsorted)) % 15.94/16.14 (define @t36 () (tptp.cross_product @t28 tptp.universal_class)) % 15.94/16.14 (define @t37 () (tptp.ordered_pair @t23 @t35)) % 15.94/16.14 (define @t38 () (tptp.member @t37 @t36)) % 15.94/16.14 (define @t39 () (tptp.rotate @t4)) % 15.94/16.14 (define @t40 () (tptp.flip @t4)) % 15.94/16.14 (define @t41 () (tptp.successor @t4)) % 15.94/16.14 (define @t42 () (@list @t1)) % 15.94/16.14 (define @t43 () (@list @t26)) % 15.94/16.14 (define @t44 () (tptp.inductive @t4)) % 15.94/16.14 (define @t45 () (tptp.sum_class @t4)) % 15.94/16.14 (define @t46 () (@list @t2 @t4)) % 15.94/16.14 (define @t47 () (@var "YR" $$unsorted)) % 15.94/16.14 (define @t48 () (tptp.compose @t47 @t34)) % 15.94/16.14 (define @t49 () (@var "XF" $$unsorted)) % 15.94/16.14 (define @t50 () (tptp.function @t49)) % 15.94/16.14 (define @t51 () (@list @t49)) % 15.94/16.14 (define @t52 () (forall @t6 (not (and @t5 @t3)))) % 15.94/16.14 (define @t53 () (tptp.disjoint @t4 @t1)) % 15.94/16.14 (define @t54 () (= @t53 @t52)) % 15.94/16.14 (define @t55 () (forall @t8 @t54)) % 15.94/16.14 (define @t56 () (tptp.disjoint @t2 @t4)) % 15.94/16.14 (define @t57 () (and @t11 @t5 @t56)) % 15.94/16.14 (define @t58 () (exists @t6 @t57)) % 15.94/16.14 (define @t59 () (= @t4 tptp.null_class)) % 15.94/16.14 (define @t60 () (not @t59)) % 15.94/16.14 (define @t61 () (=> @t60 @t58)) % 15.94/16.14 (define @t62 () (forall @t9 @t61)) % 15.94/16.14 (define @t63 () (tptp.apply @t49 @t1)) % 15.94/16.14 (define @t64 () (forall @t43 @t31)) % 15.94/16.14 (define @t65 () (exists @t9 @t64)) % 15.94/16.14 (define @t66 () (not @t65)) % 15.94/16.14 (define @t67 () (forall @t9 (not @t64))) % 15.94/16.14 (define @t68 () (tptp.unordered_pair tptp.universal_class tptp.universal_class)) % 15.94/16.14 (define @t69 () (@list @t68)) % 15.94/16.14 (define @t70 () (forall @t43 (not (tptp.member @t26 @t68)))) % 15.94/16.14 (define @t71 () (@quantifiers_skolemize @t70 0)) % 15.94/16.14 (define @t72 () (tptp.member @t71 @t68)) % 15.94/16.14 (define @t73 () (not @t70)) % 15.94/16.14 (define @t74 () (not @t72)) % 15.94/16.14 (define @t75 () (not @t74)) % 15.94/16.14 (define @t76 () (@list true)) % 15.94/16.14 (define @t77 () (not @t56)) % 15.94/16.14 (define @t78 () (not @t5)) % 15.94/16.14 (define @t79 () (not @t11)) % 15.94/16.14 (define @t80 () (or @t79 @t78 @t77)) % 15.94/16.14 (define @t81 () (not (forall @t6 @t80))) % 15.94/16.14 (define @t82 () (forall @t6 (not @t57))) % 15.94/16.14 (define @t83 () (not @t82)) % 15.94/16.14 (define @t84 () (not (tptp.member @t2 @t68))) % 15.94/16.14 (define @t85 () (forall @t6 (or @t79 @t84 (not (tptp.disjoint @t2 @t68))))) % 15.94/16.14 (define @t86 () (not @t85)) % 15.94/16.14 (define @t87 () (or (= @t68 tptp.null_class) @t86)) % 15.94/16.14 (define @t88 () (forall @t9 (or @t59 @t81))) % 15.94/16.14 (define @t89 () (= tptp.null_class @t68)) % 15.94/16.14 (define @t90 () (or @t89 @t86)) % 15.94/16.14 (define @t91 () (@list false)) % 15.94/16.14 (define @t92 () (@quantifiers_skolemize @t85 0)) % 15.94/16.14 (define @t93 () (= tptp.universal_class @t92)) % 15.94/16.14 (define @t94 () (or @t93 @t93)) % 15.94/16.14 (define @t95 () (tptp.member @t92 tptp.universal_class)) % 15.94/16.14 (define @t96 () (and @t95 @t94)) % 15.94/16.14 (define @t97 () (tptp.member @t92 @t68)) % 15.94/16.14 (define @t98 () (= @t97 @t96)) % 15.94/16.14 (define @t99 () (forall @t16 (= @t14 (and @t11 (or (= @t4 @t2) (= @t1 @t2)))))) % 15.94/16.14 (define @t100 () (and @t95 @t93)) % 15.94/16.14 (define @t101 () (= @t97 @t100)) % 15.94/16.14 (define @t102 () (@list @t99)) % 15.94/16.14 (define @t103 () (not @t100)) % 15.94/16.14 (define @t104 () (tptp.member tptp.universal_class tptp.universal_class)) % 15.94/16.14 (define @t105 () (= tptp.universal_class tptp.universal_class)) % 15.94/16.14 (define @t106 () (or @t105 @t105)) % 15.94/16.14 (define @t107 () (and @t104 @t106)) % 15.94/16.14 (define @t108 () (tptp.member tptp.universal_class @t68)) % 15.94/16.14 (define @t109 () (= @t108 @t107)) % 15.94/16.14 (define @t110 () (= @t108 @t104)) % 15.94/16.14 (define @t111 () (not @t110)) % 15.94/16.14 (define @t112 () (not @t108)) % 15.94/16.14 (define @t113 () (@list tptp.universal_class)) % 15.94/16.14 (define @t114 () (not @t89)) % 15.94/16.14 (define @t115 () (tptp.member tptp.universal_class tptp.null_class)) % 15.94/16.14 (define @t116 () (not @t115)) % 15.94/16.14 (define @t117 () (= true false)) % 15.94/16.14 (define @t118 () (and @t116 @t89 @t108)) % 15.94/16.14 (define @t119 () (tptp.disjoint @t92 @t68)) % 15.94/16.14 (define @t120 () (not @t119)) % 15.94/16.14 (define @t121 () (not @t97)) % 15.94/16.14 (define @t122 () (not @t95)) % 15.94/16.14 (define @t123 () (or @t122 @t121 @t120)) % 15.94/16.14 (define @t124 () (not @t123)) % 15.94/16.14 (define @t125 () (forall @t6 (or (not (tptp.member @t2 @t92)) @t84))) % 15.94/16.14 (define @t126 () (= @t119 @t125)) % 15.94/16.14 (define @t127 () (tptp.member tptp.universal_class @t92)) % 15.94/16.14 (define @t128 () (not @t127)) % 15.94/16.14 (define @t129 () (or @t128 @t112)) % 15.94/16.14 (define @t130 () (not @t93)) % 15.94/16.14 (define @t131 () (not @t104)) % 15.94/16.14 (define @t132 () (and @t128 @t93 @t104)) % 15.94/16.14 (define @t133 () (@list true false)) % 15.94/16.14 (define @t134 () (and @t131 @t93 @t95)) % 15.94/16.14 (define @t135 () (@list true false false)) % 15.94/16.14 (define @t136 () (tptp.member @t71 tptp.null_class)) % 15.94/16.14 (define @t137 () (not @t136)) % 15.94/16.14 (define @t138 () (and @t137 @t89 @t72)) % 15.94/16.14 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 15.94/16.14 (assume @p2 (forall @t9 (tptp.subclass @t4 tptp.universal_class))) % 15.94/16.14 (assume @p3 (forall @t8 (= (= @t4 @t1) (and @t7 (tptp.subclass @t1 @t4))))) % 15.94/16.14 (assume @p4 @t17) % 15.94/16.14 (assume @p5 (forall @t8 (tptp.member @t13 tptp.universal_class))) % 15.94/16.14 (assume @p6 (forall @t9 (= @t18 (tptp.unordered_pair @t4 @t4)))) % 15.94/16.14 (assume @p7 (forall @t8 (= @t20 (tptp.unordered_pair @t18 (tptp.unordered_pair @t4 @t19))))) % 15.94/16.14 (assume @p8 (forall (@list @t2 @t21 @t4 @t1) (= (tptp.member @t23 @t22) (and @t5 (tptp.member @t21 @t1))))) % 15.94/16.14 (assume @p9 (forall @t8 (=> (and @t25 @t24) (and (= (tptp.first @t20) @t4) (= (tptp.second @t20) @t1))))) % 15.94/16.14 (assume @p10 (forall @t27 (=> (tptp.member @t26 @t22) (= @t26 (tptp.ordered_pair (tptp.first @t26) (tptp.second @t26)))))) % 15.94/16.14 (assume @p11 (forall @t8 (= (tptp.member @t20 tptp.element_relation) (and @t24 (tptp.member @t4 @t1))))) % 15.94/16.14 (assume @p12 (tptp.subclass tptp.element_relation @t28)) % 15.94/16.14 (assume @p13 (forall @t27 (= (tptp.member @t26 (tptp.intersection @t4 @t1)) (and @t30 @t29)))) % 15.94/16.14 (assume @p14 (forall @t33 (= (tptp.member @t26 (tptp.complement @t4)) (and @t32 @t31)))) % 15.94/16.14 (assume @p15 (forall (@list @t4 @t34 @t1) (= (tptp.restrict @t34 @t4 @t1) (tptp.intersection @t34 @t22)))) % 15.94/16.14 (assume @p16 (forall @t9 (not (tptp.member @t4 tptp.null_class)))) % 15.94/16.14 (assume @p17 (forall @t33 (= (tptp.member @t26 (tptp.domain_of @t4)) (and @t32 (not (= (tptp.restrict @t4 (tptp.singleton @t26) tptp.universal_class) tptp.null_class)))))) % 15.94/16.14 (assume @p18 (forall (@list @t4 @t2 @t21 @t35) (= (tptp.member @t37 @t39) (and @t38 (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t21 @t35) @t2) @t4))))) % 15.94/16.14 (assume @p19 (forall @t9 (tptp.subclass @t39 @t36))) % 15.94/16.14 (assume @p20 (forall (@list @t2 @t21 @t35 @t4) (= (tptp.member @t37 @t40) (and @t38 (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t21 @t2) @t35) @t4))))) % 15.94/16.14 (assume @p21 (forall @t9 (tptp.subclass @t40 @t36))) % 15.94/16.14 (assume @p22 (forall @t27 (= (tptp.member @t26 (tptp.union @t4 @t1)) (or @t30 @t29)))) % 15.94/16.14 (assume @p23 (forall @t9 (= @t41 (tptp.union @t4 @t18)))) % 15.94/16.14 (assume @p24 (tptp.subclass tptp.successor_relation @t28)) % 15.94/16.14 (assume @p25 (forall @t8 (= (tptp.member @t20 tptp.successor_relation) (and @t25 @t24 (= @t41 @t1))))) % 15.94/16.14 (assume @p26 (forall @t42 (= (tptp.inverse @t1) (tptp.domain_of (tptp.flip (tptp.cross_product @t1 tptp.universal_class)))))) % 15.94/16.14 (assume @p27 (forall @t43 (= (tptp.range_of @t26) (tptp.domain_of (tptp.inverse @t26))))) % 15.94/16.14 (assume @p28 (forall (@list @t4 @t34) (= (tptp.image @t34 @t4) (tptp.range_of (tptp.restrict @t34 @t4 tptp.universal_class))))) % 15.94/16.14 (assume @p29 (forall @t9 (= @t44 (and (tptp.member tptp.null_class @t4) (tptp.subclass (tptp.image tptp.successor_relation @t4) @t4))))) % 15.94/16.14 (assume @p30 (exists @t9 (and @t25 @t44 (forall @t42 (=> (tptp.inductive @t1) @t7))))) % 15.94/16.14 (assume @p31 (forall @t46 (= (tptp.member @t2 @t45) (exists @t42 (and @t3 (tptp.member @t1 @t4)))))) % 15.94/16.14 (assume @p32 (forall @t9 (=> @t25 (tptp.member @t45 tptp.universal_class)))) % 15.94/16.14 (assume @p33 (forall @t46 (= (tptp.member @t2 (tptp.power_class @t4)) (and @t11 (tptp.subclass @t2 @t4))))) % 15.94/16.14 (assume @p34 (forall @t6 (=> @t11 (tptp.member (tptp.power_class @t2) tptp.universal_class)))) % 15.94/16.14 (assume @p35 (forall (@list @t34 @t47) (tptp.subclass @t48 @t28))) % 15.94/16.14 (assume @p36 (forall (@list @t34 @t47 @t2 @t21) (= (tptp.member @t23 @t48) (and @t11 (tptp.member @t21 (tptp.image @t47 (tptp.image @t34 (tptp.singleton @t2)))))))) % 15.94/16.14 (assume @p37 (forall @t43 (= (tptp.member @t26 tptp.identity_relation) (exists @t9 (and @t25 (= @t26 (tptp.ordered_pair @t4 @t4))))))) % 15.94/16.14 (assume @p38 (forall @t51 (= @t50 (and (tptp.subclass @t49 @t28) (tptp.subclass (tptp.compose @t49 (tptp.inverse @t49)) tptp.identity_relation))))) % 15.94/16.14 (assume @p39 (forall (@list @t4 @t49) (=> (and @t25 @t50) (tptp.member (tptp.image @t49 @t4) tptp.universal_class)))) % 15.94/16.14 (assume @p40 @t55) % 15.94/16.14 (assume @p41 @t62) % 15.94/16.14 (assume @p42 (forall (@list @t49 @t1) (= @t63 (tptp.sum_class (tptp.image @t49 @t19))))) % 15.94/16.14 (assume @p43 (exists @t51 (and @t50 (forall @t42 (=> @t24 (or (= @t1 tptp.null_class) (tptp.member @t63 @t1))))))) % 15.94/16.14 (assume @p44 @t66) % 15.94/16.14 (assume @p45 true) % 15.94/16.14 (step @p46 :rule bool-double-not-elim :args (@t67)) % 15.94/16.14 (step @p47 :rule exists-elim :args ((= @t65 (not @t67)))) % 15.94/16.14 (step @p48 :rule cong :premises (@p47) :args (@t66)) % 15.94/16.14 (step @p49 :rule trans :premises (@p48 @p46)) % 15.94/16.14 (step @p50 :rule eq_resolve :premises (@p44 @p49)) % 15.94/16.14 (step @p51 :rule instantiate :premises (@p50) :args (@t69)) % 15.94/16.14 (step @p52 :rule refl :args (@t72)) % 15.94/16.14 (step @p53 :rule bool-double-not-elim :args (@t70)) % 15.94/16.14 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or (not @t73) @t72))) % 15.94/16.14 (step @p55 :rule bool-double-not-elim :args (@t72)) % 15.94/16.14 (step @p56 :rule refl :args (@t73)) % 15.94/16.14 (step @p57 :rule cong :premises (@p56 @p55) :args ((=> @t73 @t75))) % 15.94/16.14 (assume-push @p319 @t73) % 15.94/16.14 (step @p59 :rule skolemize :premises (@p51)) % 15.94/16.14 (step-pop @p320 :rule scope :premises (@p59)) % 15.94/16.14 (step @p60 :rule process_scope :premises (@p320) :args (@t75)) % 15.94/16.14 (step @p62 :rule eq_resolve :premises (@p60 @p57)) % 15.94/16.14 (step @p63 :rule implies_elim :premises (@p62)) % 15.94/16.14 (step @p64 :rule eq_resolve :premises (@p63 @p54)) % 15.94/16.14 (step @p65 :rule chain_m_resolution :premises (@p64 @p51) :args (@t72 @t76 (@list @t70))) % 15.94/16.14 (step @p66 :rule refl :args (@t81)) % 15.94/16.14 (step @p67 :rule bool-double-not-elim :args (@t59)) % 15.94/16.14 (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or (not @t60) @t81))) % 15.94/16.14 (step @p69 :rule bool-impl-elim :args (@t60 @t81)) % 15.94/16.14 (step @p70 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@p187 :rule process_scope :premises (@p340) :args (@t124)) % 15.94/16.14 (step @p189 :rule implies_elim :premises (@p187)) % 15.94/16.14 (step @p190 :rule eq_resolve :premises (@p189 @p184)) % 15.94/16.14 (step @p191 :rule bool-double-not-elim :args (@t97)) % 15.94/16.14 (step @p192 :rule refl :args (@t123)) % 15.94/16.14 (step @p193 :rule nary_cong :premises (@p192 @p191) :args ((or @t123 (not @t121)))) % 15.94/16.14 (step @p194 :rule cnf_or_neg :args (@t123 1)) % 15.94/16.14 (step @p195 :rule eq_resolve :premises (@p194 @p193)) % 15.94/16.14 (step @p196 :rule reordering :premises (@p195) :args ((or @t97 @t123))) % 15.94/16.14 (step @p197 :rule bool-double-not-elim :args (@t119)) % 15.94/16.14 (step @p198 :rule nary_cong :premises (@p192 @p197) :args ((or @t123 (not @t120)))) % 15.94/16.14 (step @p199 :rule cnf_or_neg :args (@t123 2)) % 15.94/16.14 (step @p200 :rule eq_resolve :premises (@p199 @p198)) % 15.94/16.14 (step @p201 :rule reordering :premises (@p200) :args ((or @t119 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(@p203 @p282 @p122) :args (@t121 @t133 (@list @t100 @t101))) % 15.94/16.14 (step @p284 :rule chain_m_resolution :premises (@p196 @p283) :args (@t123 @t76 (@list @t97))) % 15.94/16.14 (step @p285 :rule chain_m_resolution :premises (@p190 @p284) :args (@t85 @t91 (@list @t123))) % 15.94/16.14 (step @p286 :rule chain_m_resolution :premises (@p181 @p285 @p99) :args (@t89 (@list false false) (@list @t85 @t90))) % 15.94/16.14 (step @p287 :rule instantiate :premises (@p16) :args ((@list @t71))) % 15.94/16.14 (step @p288 :rule bool-double-not-elim :args (@t136)) % 15.94/16.14 (step @p289 :rule refl :args (@t74)) % 15.94/16.14 (step @p290 :rule nary_cong :premises (@p147 @p289 @p288) :args ((or @t114 @t74 (not @t137)))) % 15.94/16.14 (assume-push @p367 @t137) % 15.94/16.14 (assume-push @p368 @t89) % 15.94/16.14 (assume-push @p369 @t72) % 15.94/16.14 (step @p154 :rule evaluate :args (@t117)) % 15.94/16.14 (step @p294 :rule false_intro :premises (@p287)) % 15.94/16.14 (step @p295 :rule symm :premises (@p368)) % 15.94/16.14 (step @p296 :rule refl :args (@t71)) % 15.94/16.14 (step @p297 :rule cong :premises (@p296 @p295) :args (@t72)) % 15.94/16.14 (step @p298 :rule true_intro :premises (@p65)) % 15.94/16.14 (step @p299 :rule symm :premises (@p298)) % 15.94/16.14 (step @p300 :rule trans :premises (@p299 @p297 @p294)) % 15.94/16.14 (step @p301 false :rule eq_resolve :premises (@p300 @p154)) % 15.94/16.14 (step-pop @p370 :rule scope :premises (@p301)) % 15.94/16.14 (step-pop @p371 :rule scope :premises (@p370)) % 15.94/16.14 (step-pop @p372 :rule scope :premises (@p371)) % 15.94/16.14 (step @p302 :rule process_scope :premises (@p372) :args (false)) % 15.94/16.14 (assume-push @p373 @t89) % 15.94/16.14 (assume-push @p374 @t72) % 15.94/16.14 (assume-push @p375 @t137) % 15.94/16.14 (step @p309 :rule and_intro :premises (@p287 @p373 @p65)) % 15.94/16.14 (step-pop @p376 :rule scope :premises (@p309)) % 15.94/16.14 (step-pop @p377 :rule scope :premises (@p376)) % 15.94/16.14 (step-pop @p378 :rule scope :premises (@p377)) % 15.94/16.14 (step @p310 :rule process_scope :premises (@p378) :args (@t138)) % 15.94/16.14 (step @p314 :rule implies_elim :premises (@p310)) % 15.94/16.14 (step @p315 :rule resolution :premises (@p314 @p302) :args (true @t138)) % 15.94/16.14 (step @p316 :rule not_and :premises (@p315)) % 15.94/16.14 (step @p317 :rule eq_resolve :premises (@p316 @p290)) % 15.94/16.14 (step @p318 false :rule chain_m_resolution :premises (@p317 @p287 @p286 @p65) :args (false @t135 (@list @t136 @t89 @t72))) % 15.94/16.14 ) % 15.94/16.14 % SZS output end Proof % 15.94/16.14 % cvc5 exiting %------------------------------------------------------------------------------