%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU156+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:50:45 AM UTC 2026 % Result : Theorem 0.48s 0.64s % Output : Proof 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU156+2 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n007.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:32:11 EDT 2026 % 0.18/0.35 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.48/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.48/0.64 % SZS status Theorem % 0.48/0.64 % SZS output start Proof % 0.48/0.64 ( % 0.48/0.64 (declare-sort $$unsorted 0) % 0.48/0.64 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.48/0.64 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.48/0.64 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.48/0.64 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 0.48/0.64 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.48/0.64 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.64 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.48/0.64 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.64 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.48/0.64 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.64 (declare-const tptp.empty_set $$unsorted) % 0.48/0.64 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.48/0.64 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.64 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.64 (define @t1 () (@var "A" $$unsorted)) % 0.48/0.64 (define @t2 () (@var "B" $$unsorted)) % 0.48/0.64 (define @t3 () (not (tptp.in @t2 @t1))) % 0.48/0.64 (define @t4 () (tptp.in @t1 @t2)) % 0.48/0.64 (define @t5 () (@list @t1 @t2)) % 0.48/0.64 (define @t6 () (tptp.proper_subset @t2 @t1)) % 0.48/0.64 (define @t7 () (tptp.proper_subset @t1 @t2)) % 0.48/0.64 (define @t8 () (tptp.unordered_pair @t1 @t2)) % 0.48/0.64 (define @t9 () (tptp.set_union2 @t2 @t1)) % 0.48/0.64 (define @t10 () (tptp.set_union2 @t1 @t2)) % 0.48/0.64 (define @t11 () (tptp.set_intersection2 @t1 @t2)) % 0.48/0.64 (define @t12 () (tptp.subset @t1 @t2)) % 0.48/0.64 (define @t13 () (= @t1 @t2)) % 0.48/0.64 (define @t14 () (@var "C" $$unsorted)) % 0.48/0.64 (define @t15 () (tptp.in @t14 @t2)) % 0.48/0.64 (define @t16 () (@list @t14)) % 0.48/0.64 (define @t17 () (tptp.singleton @t1)) % 0.48/0.64 (define @t18 () (= @t1 tptp.empty_set)) % 0.48/0.64 (define @t19 () (@list @t1)) % 0.48/0.64 (define @t20 () (@var "D" $$unsorted)) % 0.48/0.64 (define @t21 () (tptp.in @t20 @t14)) % 0.48/0.64 (define @t22 () (@list @t20)) % 0.48/0.64 (define @t23 () (@list @t1 @t2 @t14)) % 0.48/0.64 (define @t24 () (tptp.in @t20 @t2)) % 0.48/0.64 (define @t25 () (tptp.in @t20 @t1)) % 0.48/0.64 (define @t26 () (tptp.in @t14 @t1)) % 0.48/0.64 (define @t27 () (tptp.set_difference @t1 @t2)) % 0.48/0.64 (define @t28 () (tptp.ordered_pair @t1 @t2)) % 0.48/0.64 (define @t29 () (tptp.disjoint @t1 @t2)) % 0.48/0.64 (define @t30 () (not @t13)) % 0.48/0.64 (define @t31 () (tptp.empty @t1)) % 0.48/0.64 (define @t32 () (not @t31)) % 0.48/0.64 (define @t33 () (tptp.disjoint @t17 @t2)) % 0.48/0.64 (define @t34 () (tptp.singleton @t2)) % 0.48/0.64 (define @t35 () (= @t1 @t20)) % 0.48/0.64 (define @t36 () (not @t35)) % 0.48/0.64 (define @t37 () (= @t1 @t14)) % 0.48/0.64 (define @t38 () (not @t37)) % 0.48/0.64 (define @t39 () (= @t8 (tptp.unordered_pair @t14 @t20))) % 0.48/0.64 (define @t40 () (@list @t1 @t2 @t14 @t20)) % 0.48/0.64 (define @t41 () (forall @t40 (not (and @t39 @t38 @t36)))) % 0.48/0.64 (define @t42 () (tptp.set_intersection2 @t2 @t14)) % 0.48/0.64 (define @t43 () (tptp.subset @t1 @t14)) % 0.48/0.64 (define @t44 () (and @t37 (= @t2 @t20))) % 0.48/0.64 (define @t45 () (= @t28 (tptp.ordered_pair @t14 @t20))) % 0.48/0.64 (define @t46 () (forall @t40 (=> @t45 @t44))) % 0.48/0.64 (define @t47 () (not @t46)) % 0.48/0.64 (define @t48 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 0.48/0.64 (define @t49 () (and @t26 @t15)) % 0.48/0.64 (define @t50 () (not @t29)) % 0.48/0.64 (define @t51 () (tptp.in @t14 @t11)) % 0.48/0.64 (define @t52 () (tptp.unordered_pair @t1 @t1)) % 0.48/0.64 (define @t53 () (forall @t19 (= @t52 @t17))) % 0.48/0.64 (define @t54 () (tptp.empty @t2)) % 0.48/0.64 (define @t55 () (= @t17 (tptp.unordered_pair @t2 @t14))) % 0.48/0.64 (define @t56 () (forall @t23 (=> @t55 @t13))) % 0.48/0.64 (define @t57 () (forall @t40 (or (not @t45) @t44))) % 0.48/0.64 (define @t58 () (@quantifiers_skolemize @t57 3)) % 0.48/0.64 (define @t59 () (@quantifiers_skolemize @t57 2)) % 0.48/0.64 (define @t60 () (tptp.ordered_pair @t59 @t58)) % 0.48/0.64 (define @t61 () (@quantifiers_skolemize @t57 1)) % 0.48/0.64 (define @t62 () (@quantifiers_skolemize @t57 0)) % 0.48/0.64 (define @t63 () (tptp.ordered_pair @t62 @t61)) % 0.48/0.64 (define @t64 () (= @t63 @t60)) % 0.48/0.64 (define @t65 () (= @t61 @t58)) % 0.48/0.64 (define @t66 () (= @t62 @t59)) % 0.48/0.64 (define @t67 () (and @t66 @t65)) % 0.48/0.64 (define @t68 () (not @t64)) % 0.48/0.64 (define @t69 () (or @t68 @t67)) % 0.48/0.64 (define @t70 () (@list true)) % 0.48/0.64 (define @t71 () (@list @t69)) % 0.48/0.64 (define @t72 () (@list @t62 @t61)) % 0.48/0.64 (define @t73 () (@list @t59 @t58)) % 0.48/0.64 (define @t74 () (not @t39)) % 0.48/0.64 (define @t75 () (not @t36)) % 0.48/0.64 (define @t76 () (not @t38)) % 0.48/0.64 (define @t77 () (or @t74 @t76 @t75)) % 0.48/0.64 (define @t78 () (tptp.unordered_pair @t59 @t58)) % 0.48/0.64 (define @t79 () (tptp.singleton @t62)) % 0.48/0.64 (define @t80 () (tptp.unordered_pair @t62 @t61)) % 0.48/0.64 (define @t81 () (tptp.singleton @t59)) % 0.48/0.64 (define @t82 () (tptp.unordered_pair @t78 @t81)) % 0.48/0.64 (define @t83 () (tptp.unordered_pair @t80 @t79)) % 0.48/0.64 (define @t84 () (not (= @t82 @t83))) % 0.48/0.64 (define @t85 () (or @t84 (= @t78 @t80) (= @t78 @t79))) % 0.48/0.64 (define @t86 () (forall @t40 (or @t74 @t37 @t35))) % 0.48/0.64 (define @t87 () (= @t79 @t78)) % 0.48/0.64 (define @t88 () (= @t80 @t78)) % 0.48/0.64 (define @t89 () (= @t83 @t82)) % 0.48/0.64 (define @t90 () (not @t89)) % 0.48/0.64 (define @t91 () (or @t90 @t88 @t87)) % 0.48/0.64 (define @t92 () (@list false)) % 0.48/0.64 (define @t93 () (@list @t86)) % 0.48/0.64 (define @t94 () (tptp.unordered_pair @t58 @t59)) % 0.48/0.64 (define @t95 () (= @t78 @t94)) % 0.48/0.64 (define @t96 () (= @t80 @t94)) % 0.48/0.64 (define @t97 () (and @t95 @t88)) % 0.48/0.64 (define @t98 () (tptp.unordered_pair @t61 @t62)) % 0.48/0.64 (define @t99 () (= @t80 @t98)) % 0.48/0.64 (define @t100 () (= @t78 @t98)) % 0.48/0.64 (define @t101 () (and @t99 @t88)) % 0.48/0.64 (define @t102 () (tptp.unordered_pair @t59 @t59)) % 0.48/0.64 (define @t103 () (tptp.unordered_pair @t62 @t62)) % 0.48/0.64 (define @t104 () (not (= @t102 @t103))) % 0.48/0.64 (define @t105 () (= @t59 @t62)) % 0.48/0.64 (define @t106 () (or @t104 @t105 @t105)) % 0.48/0.64 (define @t107 () (= @t103 @t102)) % 0.48/0.64 (define @t108 () (not @t107)) % 0.48/0.64 (define @t109 () (or @t108 @t66 @t66)) % 0.48/0.64 (define @t110 () (= @t81 @t80)) % 0.48/0.64 (define @t111 () (not @t110)) % 0.48/0.64 (define @t112 () (or @t111 @t105)) % 0.48/0.64 (define @t113 () (forall @t23 (or (not @t55) @t13))) % 0.48/0.64 (define @t114 () (= @t80 @t81)) % 0.48/0.64 (define @t115 () (not @t114)) % 0.48/0.64 (define @t116 () (or @t115 @t66)) % 0.48/0.64 (define @t117 () (tptp.unordered_pair @t81 @t78)) % 0.48/0.64 (define @t118 () (not (= @t117 @t83))) % 0.48/0.64 (define @t119 () (or @t118 @t110 (= @t81 @t79))) % 0.48/0.64 (define @t120 () (= @t79 @t81)) % 0.48/0.64 (define @t121 () (= @t83 @t117)) % 0.48/0.64 (define @t122 () (not @t121)) % 0.48/0.64 (define @t123 () (or @t122 @t114 @t120)) % 0.48/0.64 (define @t124 () (not @t120)) % 0.48/0.64 (define @t125 () (= @t81 @t102)) % 0.48/0.64 (define @t126 () (not @t125)) % 0.48/0.64 (define @t127 () (= @t79 @t103)) % 0.48/0.64 (define @t128 () (not @t127)) % 0.48/0.64 (define @t129 () (and @t127 @t125 @t108)) % 0.48/0.64 (define @t130 () (not @t65)) % 0.48/0.64 (define @t131 () (not (= @t94 @t80))) % 0.48/0.64 (define @t132 () (or @t131 (= @t58 @t62) (= @t58 @t61))) % 0.48/0.64 (define @t133 () (= @t62 @t58)) % 0.48/0.64 (define @t134 () (not @t96)) % 0.48/0.64 (define @t135 () (or @t134 @t133 @t65)) % 0.48/0.64 (define @t136 () (= @t61 @t59)) % 0.48/0.64 (define @t137 () (not (= @t98 @t78))) % 0.48/0.64 (define @t138 () (or @t137 @t136 @t65)) % 0.48/0.64 (define @t139 () (not @t100)) % 0.48/0.64 (define @t140 () (or @t139 @t136 @t65)) % 0.48/0.64 (define @t141 () (not @t136)) % 0.48/0.64 (define @t142 () (not @t133)) % 0.48/0.64 (define @t143 () (not @t66)) % 0.48/0.64 (define @t144 () (and @t66 @t130 @t133)) % 0.48/0.64 (define @t145 () (not @t88)) % 0.48/0.64 (define @t146 () (or @t122 @t114 @t88)) % 0.48/0.64 (define @t147 () (not @t87)) % 0.48/0.64 (define @t148 () (and @t66 @t127 @t125 @t145 @t114)) % 0.48/0.64 (define @t149 () (= @t60 @t82)) % 0.48/0.64 (define @t150 () (not @t149)) % 0.48/0.64 (define @t151 () (= @t63 @t83)) % 0.48/0.64 (define @t152 () (not @t151)) % 0.48/0.64 (define @t153 () (and @t90 @t151 @t149 @t64)) % 0.48/0.64 (assume @p1 (forall @t5 (=> @t4 @t3))) % 0.48/0.64 (assume @p2 (forall @t5 (=> @t7 (not @t6)))) % 0.48/0.64 (assume @p3 (forall @t5 (= @t8 (tptp.unordered_pair @t2 @t1)))) % 0.48/0.64 (assume @p4 (forall @t5 (= @t10 @t9))) % 0.48/0.64 (assume @p5 (forall @t5 (= @t11 (tptp.set_intersection2 @t2 @t1)))) % 0.48/0.64 (assume @p6 (forall @t5 (= @t13 (and @t12 (tptp.subset @t2 @t1))))) % 0.48/0.64 (assume @p7 (forall @t5 (= (= @t2 @t17) (forall @t16 (= @t15 (= @t14 @t1)))))) % 0.48/0.64 (assume @p8 (forall @t19 (= @t18 (forall (@list @t2) @t3)))) % 0.48/0.64 (assume @p9 (forall @t5 (= (= @t2 (tptp.powerset @t1)) (forall @t16 (= @t15 (tptp.subset @t14 @t1)))))) % 0.48/0.64 (assume @p10 (forall @t23 (= (= @t14 @t8) (forall @t22 (= @t21 (or (= @t20 @t1) (= @t20 @t2))))))) % 0.48/0.64 (assume @p11 (forall @t23 (= (= @t14 @t10) (forall @t22 (= @t21 (or @t25 @t24)))))) % 0.48/0.64 (assume @p12 (forall @t5 (= @t12 (forall @t16 (=> @t26 @t15))))) % 0.48/0.64 (assume @p13 (forall @t23 (= (= @t14 @t11) (forall @t22 (= @t21 (and @t25 @t24)))))) % 0.48/0.64 (assume @p14 (forall @t5 (= (= @t2 (tptp.union @t1)) (forall @t16 (= @t15 (exists @t22 (and (tptp.in @t14 @t20) @t25))))))) % 0.48/0.64 (assume @p15 (forall @t23 (= (= @t14 @t27) (forall @t22 (= @t21 (and @t25 (not @t24))))))) % 0.48/0.64 (assume @p16 (forall @t5 (= @t28 (tptp.unordered_pair @t8 @t17)))) % 0.48/0.64 (assume @p17 (forall @t5 (= @t29 (= @t11 tptp.empty_set)))) % 0.48/0.64 (assume @p18 (forall @t5 (= @t7 (and @t12 @t30)))) % 0.48/0.64 (assume @p19 true) % 0.48/0.64 (assume @p20 (tptp.empty tptp.empty_set)) % 0.48/0.64 (assume @p21 (forall @t5 (not (tptp.empty @t28)))) % 0.48/0.64 (assume @p22 (forall @t5 (=> @t32 (not (tptp.empty @t10))))) % 0.48/0.64 (assume @p23 (forall @t5 (=> @t32 (not (tptp.empty @t9))))) % 0.48/0.64 (assume @p24 (forall @t5 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.48/0.64 (assume @p25 (forall @t5 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.48/0.64 (assume @p26 (forall @t5 (not (tptp.proper_subset @t1 @t1)))) % 0.48/0.64 (assume @p27 (forall @t19 (not (= @t17 tptp.empty_set)))) % 0.48/0.64 (assume @p28 (forall @t5 (=> @t4 (= (tptp.set_union2 @t17 @t2) @t2)))) % 0.48/0.64 (assume @p29 (forall @t5 (not (and @t33 @t4)))) % 0.48/0.64 (assume @p30 (forall @t5 (=> (not @t4) @t33))) % 0.48/0.64 (assume @p31 (forall @t5 (= (tptp.subset @t17 @t2) @t4))) % 0.48/0.64 (assume @p32 (forall @t5 (= (= @t27 tptp.empty_set) @t12))) % 0.48/0.64 (assume @p33 (forall @t23 (=> @t12 (or @t26 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t14))))))) % 0.48/0.64 (assume @p34 (forall @t5 (= (tptp.subset @t1 @t34) (or @t18 (= @t1 @t34))))) % 0.48/0.64 (assume @p35 (forall @t5 (=> @t4 (tptp.subset @t1 (tptp.union @t2))))) % 0.48/0.64 (assume @p36 (exists @t19 @t31)) % 0.48/0.64 (assume @p37 (exists @t19 @t32)) % 0.48/0.64 (assume @p38 (forall @t5 (tptp.subset @t1 @t1))) % 0.48/0.64 (assume @p39 (forall @t5 (=> @t29 (tptp.disjoint @t2 @t1)))) % 0.48/0.64 (assume @p40 @t41) % 0.48/0.64 (assume @p41 (forall @t5 (=> @t12 (= @t10 @t2)))) % 0.48/0.64 (assume @p42 (forall @t5 (tptp.subset @t11 @t1))) % 0.48/0.64 (assume @p43 (forall @t23 (=> (and @t12 @t43) (tptp.subset @t1 @t42)))) % 0.48/0.64 (assume @p44 (forall @t19 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.48/0.64 (assume @p45 (forall @t23 (=> (and @t12 (tptp.subset @t2 @t14)) @t43))) % 0.48/0.64 (assume @p46 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 0.48/0.64 (assume @p47 (forall @t23 (=> @t12 (tptp.subset (tptp.set_intersection2 @t1 @t14) @t42)))) % 0.48/0.64 (assume @p48 (forall @t5 (=> @t12 (= @t11 @t1)))) % 0.48/0.64 (assume @p49 (forall @t19 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.48/0.64 (assume @p50 (forall @t5 (=> (forall @t16 (= @t26 @t15)) @t13))) % 0.48/0.64 (assume @p51 (forall @t19 (tptp.subset tptp.empty_set @t1))) % 0.48/0.64 (assume @p52 (forall @t23 (=> @t12 (tptp.subset (tptp.set_difference @t1 @t14) (tptp.set_difference @t2 @t14))))) % 0.48/0.64 (assume @p53 @t47) % 0.48/0.64 (assume @p54 (forall @t5 (tptp.subset @t27 @t1))) % 0.48/0.64 (assume @p55 (forall @t5 (= @t48 @t10))) % 0.48/0.64 (assume @p56 (forall @t19 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.48/0.64 (assume @p57 (forall @t5 (and (not (and @t50 (forall @t16 (not @t49)))) (not (and (exists @t16 @t49) @t29))))) % 0.48/0.64 (assume @p58 (forall @t19 (=> (tptp.subset @t1 tptp.empty_set) @t18))) % 0.48/0.64 (assume @p59 (forall @t5 (= (tptp.set_difference @t10 @t2) @t27))) % 0.48/0.64 (assume @p60 (forall @t5 (=> @t12 (= @t2 @t48)))) % 0.48/0.64 (assume @p61 (forall @t5 (= (tptp.set_difference @t1 @t27) @t11))) % 0.48/0.64 (assume @p62 (forall @t19 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.48/0.64 (assume @p63 (forall @t5 (and (not (and @t50 (forall @t16 (not @t51)))) (not (and (exists @t16 @t51) @t29))))) % 0.48/0.64 (assume @p64 (forall @t5 (not (and @t12 @t6)))) % 0.48/0.64 (assume @p65 (forall @t23 (=> (and @t12 (tptp.disjoint @t2 @t14)) (tptp.disjoint @t1 @t14)))) % 0.48/0.64 (assume @p66 @t53) % 0.48/0.64 (assume @p67 (forall @t19 (=> @t31 @t18))) % 0.48/0.64 (assume @p68 (forall @t5 (=> (tptp.subset @t17 @t34) @t13))) % 0.48/0.64 (assume @p69 (forall @t5 (not (and @t4 @t54)))) % 0.48/0.64 (assume @p70 (forall @t5 (tptp.subset @t1 @t10))) % 0.48/0.64 (assume @p71 (forall @t5 (= @t29 (= @t27 @t1)))) % 0.48/0.64 (assume @p72 (forall @t5 (not (and @t31 @t30 @t54)))) % 0.48/0.64 (assume @p73 (forall @t23 (=> (and @t12 (tptp.subset @t14 @t2)) (tptp.subset (tptp.set_union2 @t1 @t14) @t2)))) % 0.48/0.64 (assume @p74 @t56) % 0.48/0.64 (assume @p75 (forall @t23 (=> @t55 (= @t2 @t14)))) % 0.48/0.64 (step @p76 :rule bool-impl-elim :args (@t45 @t44)) % 0.48/0.64 (step @p77 :rule cong :premises (@p76) :args (@t46)) % 0.48/0.64 (step @p78 :rule cong :premises (@p77) :args (@t47)) % 0.48/0.64 (step @p79 :rule eq_resolve :premises (@p53 @p78)) % 0.48/0.64 (step @p80 :rule skolemize :premises (@p79)) % 0.48/0.64 (step @p81 :rule bool-double-not-elim :args (@t64)) % 0.48/0.64 (step @p82 :rule refl :args (@t69)) % 0.48/0.64 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t69 (not @t68)))) % 0.48/0.64 (step @p84 :rule cnf_or_neg :args (@t69 0)) % 0.48/0.64 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.48/0.64 (step @p86 :rule reordering :premises (@p85) :args ((or @t64 @t69))) % 0.48/0.64 (step @p87 :rule chain_m_resolution :premises (@p86 @p80) :args (@t64 @t70 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:premises (@p205 @p457 @p325 @p324)) % 0.48/0.64 (step @p327 :rule cong :premises (@p326 @p323) :args (@t87)) % 0.48/0.64 (step @p328 :rule trans :premises (@p327 @p322)) % 0.48/0.64 (step @p329 :rule false_elim :premises (@p328)) % 0.48/0.64 (step-pop @p462 :rule scope :premises (@p329)) % 0.48/0.64 (step-pop @p463 :rule scope :premises (@p462)) % 0.48/0.64 (step-pop @p464 :rule scope :premises (@p463)) % 0.48/0.64 (step-pop @p465 :rule scope :premises (@p464)) % 0.48/0.64 (step-pop @p466 :rule scope :premises (@p465)) % 0.48/0.64 (step @p330 :rule process_scope :premises (@p466) :args (@t147)) % 0.48/0.64 (assume-push @p467 @t125) % 0.48/0.64 (assume-push @p468 @t66) % 0.48/0.64 (assume-push @p469 @t127) % 0.48/0.64 (step @p339 :rule cong :premises (@p452) :args (@t79)) % 0.48/0.64 (step @p340 :rule symm :premises (@p205)) % 0.48/0.64 (step @p341 :rule trans :premises (@p340 @p339 @p206)) % 0.48/0.64 (step-pop @p470 :rule scope :premises (@p341)) % 0.48/0.64 (step-pop @p471 :rule scope :premises (@p470)) % 0.48/0.64 (step-pop @p472 :rule scope :premises (@p471)) % 0.48/0.64 (step @p342 :rule process_scope :premises (@p472) :args (@t107)) % 0.48/0.64 (step @p346 :rule and_intro :premises (@p206 @p452 @p205)) % 0.48/0.64 (step @p347 :rule modus_ponens :premises (@p346 @p342)) % 0.48/0.64 (step @p348 :rule and_intro :premises (@p347 @p456 @p455 @p206 @p205)) % 0.48/0.64 (step @p349 :rule modus_ponens :premises (@p348 @p330)) % 0.48/0.64 (step-pop @p473 :rule scope :premises (@p349)) % 0.48/0.64 (step-pop @p474 :rule scope :premises (@p473)) % 0.48/0.64 (step-pop @p475 :rule scope :premises (@p474)) % 0.48/0.64 (step-pop @p476 :rule scope :premises (@p475)) % 0.48/0.64 (step-pop @p477 :rule scope :premises (@p476)) % 0.48/0.64 (step @p350 :rule process_scope :premises (@p477) :args (@t147)) % 0.48/0.64 (step @p356 :rule implies_elim :premises (@p350)) % 0.48/0.64 (step @p357 :rule cnf_and_neg :args (@t148)) % 0.48/0.64 (step @p358 :rule resolution :premises (@p357 @p356) :args (true @t148)) % 0.48/0.64 (step @p359 :rule eq_resolve :premises (@p358 @p311)) % 0.48/0.64 (step @p360 :rule chain_m_resolution :premises (@p359 @p236 @p205 @p206 @p304 @p307) :args (@t147 (@list false false false true false) (@list @t66 @t127 @t125 @t88 @t114))) % 0.48/0.64 (step @p361 :rule cnf_or_pos :args (@t91)) % 0.48/0.64 (step @p362 :rule reordering :premises (@p361) :args ((or @t88 @t87 @t90 (not @t91)))) % 0.48/0.64 (step @p363 :rule chain_m_resolution :premises (@p362 @p304 @p360 @p116) :args (@t90 (@list true true false) (@list @t88 @t87 @t91))) % 0.48/0.64 (step @p364 :rule bool-double-not-elim :args (@t89)) % 0.48/0.64 (step @p365 :rule refl :args (@t150)) % 0.48/0.64 (step @p366 :rule refl :args (@t152)) % 0.48/0.64 (step @p367 :rule refl :args (@t68)) % 0.48/0.64 (step @p368 :rule nary_cong :premises (@p367 @p366 @p365 @p364) :args ((or @t68 @t152 @t150 (not @t90)))) % 0.48/0.64 (assume-push @p478 @t90) % 0.48/0.64 (assume-push @p479 @t151) % 0.48/0.64 (assume-push @p480 @t149) % 0.48/0.64 (assume-push @p481 @t64) % 0.48/0.64 (step @p373 :rule evaluate :args ((= true false))) % 0.48/0.64 (step @p374 :rule false_intro :premises (@p478)) % 0.48/0.64 (step @p375 :rule trans :premises (@p119 @p87 @p89)) % 0.48/0.64 (step @p376 :rule true_intro :premises (@p375)) % 0.48/0.64 (step @p377 :rule symm :premises (@p376)) % 0.48/0.64 (step @p378 :rule trans :premises (@p377 @p374)) % 0.48/0.64 (step @p379 false :rule eq_resolve :premises (@p378 @p373)) % 0.48/0.64 (step-pop @p482 :rule scope :premises (@p379)) % 0.48/0.64 (step-pop @p483 :rule scope :premises (@p482)) % 0.48/0.64 (step-pop @p484 :rule scope :premises (@p483)) % 0.48/0.64 (step-pop @p485 :rule scope :premises (@p484)) % 0.48/0.64 (step @p380 :rule process_scope :premises (@p485) :args (false)) % 0.48/0.64 (assume-push @p486 @t64) % 0.48/0.64 (assume-push @p487 @t151) % 0.48/0.64 (assume-push @p488 @t149) % 0.48/0.64 (assume-push @p489 @t90) % 0.48/0.64 (step @p389 :rule and_intro :premises (@p489 @p88 @p89 @p87)) % 0.48/0.64 (step-pop @p490 :rule scope :premises (@p389)) % 0.48/0.64 (step-pop @p491 :rule scope :premises (@p490)) % 0.48/0.64 (step-pop @p492 :rule scope :premises (@p491)) % 0.48/0.64 (step-pop @p493 :rule scope :premises (@p492)) % 0.48/0.64 (step @p390 :rule process_scope :premises (@p493) :args (@t153)) % 0.48/0.64 (step @p395 :rule implies_elim :premises (@p390)) % 0.48/0.64 (step @p396 :rule resolution :premises (@p395 @p380) :args (true @t153)) % 0.48/0.64 (step @p397 :rule not_and :premises (@p396)) % 0.48/0.64 (step @p398 :rule eq_resolve :premises (@p397 @p368)) % 0.48/0.64 (step @p399 false :rule chain_m_resolution :premises (@p398 @p363 @p89 @p88 @p87) :args (false (@list true false false false) (@list @t89 @t149 @t151 @t64))) % 0.48/0.64 ) % 0.48/0.64 % SZS output end Proof % 0.48/0.64 % cvc5 exiting %------------------------------------------------------------------------------