%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU309+1 : 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 : n022.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 08:51:20 AM UTC 2026 % Result : Theorem 0.47s 0.64s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU309+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n022.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 16:55:38 EDT 2026 % 0.16/0.35 % CPUTime : % 0.34/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.47/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.47/0.64 % SZS status Theorem % 0.47/0.64 % SZS output start Proof % 0.47/0.64 ( % 0.47/0.64 (declare-sort $$unsorted 0) % 0.47/0.64 (declare-const tptp.empty_set $$unsorted) % 0.47/0.64 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.47/0.64 (define @t1 () (@var "A" $$unsorted)) % 0.47/0.64 (define @t2 () (@var "B" $$unsorted)) % 0.47/0.64 (define @t3 () (tptp.in @t1 @t2)) % 0.47/0.64 (define @t4 () (@list @t1 @t2)) % 0.47/0.64 (define @t5 () (tptp.v1_xcmplx_0 @t2)) % 0.47/0.64 (define @t6 () (tptp.element @t2 @t1)) % 0.47/0.64 (define @t7 () (@list @t2)) % 0.47/0.64 (define @t8 () (tptp.v1_membered @t1)) % 0.47/0.64 (define @t9 () (@list @t1)) % 0.47/0.64 (define @t10 () (tptp.v1_xreal_0 @t2)) % 0.47/0.64 (define @t11 () (tptp.v2_membered @t1)) % 0.47/0.64 (define @t12 () (tptp.v1_rat_1 @t2)) % 0.47/0.64 (define @t13 () (tptp.v3_membered @t1)) % 0.47/0.64 (define @t14 () (tptp.v1_int_1 @t2)) % 0.47/0.64 (define @t15 () (tptp.v4_membered @t1)) % 0.47/0.64 (define @t16 () (tptp.v5_membered @t1)) % 0.47/0.64 (define @t17 () (tptp.empty @t1)) % 0.47/0.64 (define @t18 () (tptp.v1_membered @t2)) % 0.47/0.64 (define @t19 () (tptp.powerset @t1)) % 0.47/0.64 (define @t20 () (tptp.element @t2 @t19)) % 0.47/0.64 (define @t21 () (tptp.v2_membered @t2)) % 0.47/0.64 (define @t22 () (tptp.v3_membered @t2)) % 0.47/0.64 (define @t23 () (tptp.v4_membered @t2)) % 0.47/0.64 (define @t24 () (tptp.set_intersection2 @t2 @t1)) % 0.47/0.64 (define @t25 () (tptp.set_intersection2 @t1 @t2)) % 0.47/0.64 (define @t26 () (@var "C" $$unsorted)) % 0.47/0.64 (define @t27 () (tptp.subset_intersection2 @t1 @t2 @t26)) % 0.47/0.64 (define @t28 () (= @t27 (tptp.subset_intersection2 @t1 @t26 @t2))) % 0.47/0.64 (define @t29 () (tptp.element @t26 @t19)) % 0.47/0.64 (define @t30 () (and @t20 @t29)) % 0.47/0.64 (define @t31 () (@list @t1 @t2 @t26)) % 0.47/0.64 (define @t32 () (forall @t31 (=> @t30 @t28))) % 0.47/0.64 (define @t33 () (tptp.the_carrier @t1)) % 0.47/0.64 (define @t34 () (tptp.cast_as_carrier_subset @t1)) % 0.47/0.64 (define @t35 () (tptp.one_sorted_str @t1)) % 0.47/0.64 (define @t36 () (tptp.powerset @t33)) % 0.47/0.64 (define @t37 () (tptp.element @t34 @t36)) % 0.47/0.64 (define @t38 () (forall @t9 (=> @t35 @t37))) % 0.47/0.64 (define @t39 () (tptp.subset_difference @t1 @t2 @t26)) % 0.47/0.64 (define @t40 () (tptp.element @t39 @t19)) % 0.47/0.64 (define @t41 () (forall @t31 (=> @t30 @t40))) % 0.47/0.64 (define @t42 () (tptp.v1_membered @t25)) % 0.47/0.64 (define @t43 () (tptp.v1_membered @t24)) % 0.47/0.64 (define @t44 () (tptp.v2_membered @t25)) % 0.47/0.64 (define @t45 () (tptp.v2_membered @t24)) % 0.47/0.64 (define @t46 () (tptp.v3_membered @t25)) % 0.47/0.64 (define @t47 () (tptp.v3_membered @t24)) % 0.47/0.64 (define @t48 () (tptp.v4_membered @t25)) % 0.47/0.64 (define @t49 () (tptp.v4_membered @t24)) % 0.47/0.64 (define @t50 () (tptp.set_difference @t1 @t2)) % 0.47/0.64 (define @t51 () (tptp.v1_membered @t50)) % 0.47/0.64 (define @t52 () (tptp.v2_membered @t50)) % 0.47/0.64 (define @t53 () (tptp.v3_membered @t50)) % 0.47/0.64 (define @t54 () (tptp.v4_membered @t50)) % 0.47/0.64 (define @t55 () (tptp.subset_intersection2 @t1 @t2 @t2)) % 0.47/0.64 (define @t56 () (=> @t30 (= @t55 @t2))) % 0.47/0.64 (define @t57 () (forall @t31 @t56)) % 0.47/0.64 (define @t58 () (not @t17)) % 0.47/0.64 (define @t59 () (tptp.empty @t2)) % 0.47/0.64 (define @t60 () (= @t27 (tptp.set_intersection2 @t2 @t26))) % 0.47/0.64 (define @t61 () (forall @t31 (=> @t30 @t60))) % 0.47/0.64 (define @t62 () (= @t39 (tptp.set_difference @t2 @t26))) % 0.47/0.64 (define @t63 () (forall @t31 (=> @t30 @t62))) % 0.47/0.64 (define @t64 () (tptp.subset_intersection2 @t33 @t2 @t34)) % 0.47/0.64 (define @t65 () (tptp.element @t2 @t36)) % 0.47/0.64 (define @t66 () (=> @t65 (= @t64 @t2))) % 0.47/0.64 (define @t67 () (forall @t7 @t66)) % 0.47/0.64 (define @t68 () (=> @t35 @t67)) % 0.47/0.64 (define @t69 () (forall @t9 @t68)) % 0.47/0.64 (define @t70 () (tptp.element @t1 @t2)) % 0.47/0.64 (define @t71 () (tptp.subset_difference @t33 @t34 (tptp.subset_difference @t33 @t34 @t2))) % 0.47/0.64 (define @t72 () (=> @t65 (= @t71 @t2))) % 0.47/0.64 (define @t73 () (forall @t7 @t72)) % 0.47/0.64 (define @t74 () (=> @t35 @t73)) % 0.47/0.64 (define @t75 () (forall @t9 @t74)) % 0.47/0.64 (define @t76 () (not @t75)) % 0.47/0.64 (define @t77 () (tptp.set_difference @t1 @t50)) % 0.47/0.64 (define @t78 () (forall @t4 (= @t77 @t25))) % 0.47/0.64 (define @t79 () (tptp.element @t2 (tptp.powerset @t26))) % 0.47/0.64 (define @t80 () (@var "BOUND_VARIABLE_8099" $$unsorted)) % 0.47/0.64 (define @t81 () (= @t80 (tptp.subset_difference @t33 @t34 (tptp.subset_difference @t33 @t34 @t80)))) % 0.47/0.64 (define @t82 () (not (tptp.element @t80 @t36))) % 0.47/0.64 (define @t83 () (not @t35)) % 0.47/0.64 (define @t84 () (or @t83 @t82 @t81)) % 0.47/0.64 (define @t85 () (or @t82 @t81)) % 0.47/0.64 (define @t86 () (or @t83 @t85)) % 0.47/0.64 (define @t87 () (@list @t1 @t80)) % 0.47/0.64 (define @t88 () (forall @t87 @t86)) % 0.47/0.64 (define @t89 () (@list @t80)) % 0.47/0.64 (define @t90 () (forall @t89 @t86)) % 0.47/0.64 (define @t91 () (forall @t89 @t85)) % 0.47/0.64 (define @t92 () (@list @t2)) % 0.47/0.64 (define @t93 () (or @t83 @t91)) % 0.47/0.64 (define @t94 () (= @t2 @t71)) % 0.47/0.64 (define @t95 () (not @t65)) % 0.47/0.64 (define @t96 () (forall @t7 (or @t95 @t94))) % 0.47/0.64 (define @t97 () (forall @t87 @t84)) % 0.47/0.64 (define @t98 () (@quantifiers_skolemize @t97 1)) % 0.47/0.64 (define @t99 () (@quantifiers_skolemize @t97 0)) % 0.47/0.64 (define @t100 () (tptp.cast_as_carrier_subset @t99)) % 0.47/0.64 (define @t101 () (tptp.the_carrier @t99)) % 0.47/0.64 (define @t102 () (tptp.subset_difference @t101 @t100 @t98)) % 0.47/0.64 (define @t103 () (tptp.subset_difference @t101 @t100 @t102)) % 0.47/0.64 (define @t104 () (= @t98 @t103)) % 0.47/0.64 (define @t105 () (tptp.powerset @t101)) % 0.47/0.64 (define @t106 () (tptp.element @t98 @t105)) % 0.47/0.64 (define @t107 () (not @t106)) % 0.47/0.64 (define @t108 () (tptp.one_sorted_str @t99)) % 0.47/0.64 (define @t109 () (not @t108)) % 0.47/0.64 (define @t110 () (or @t109 @t107 @t104)) % 0.47/0.64 (define @t111 () (not @t104)) % 0.47/0.64 (define @t112 () (@list true)) % 0.47/0.64 (define @t113 () (@list @t110)) % 0.47/0.64 (define @t114 () (= @t2 @t55)) % 0.47/0.64 (define @t115 () (not @t29)) % 0.47/0.64 (define @t116 () (not @t20)) % 0.47/0.64 (define @t117 () (or @t116 @t115)) % 0.47/0.64 (define @t118 () (not @t30)) % 0.47/0.64 (define @t119 () (= @t98 (tptp.subset_intersection2 @t101 @t98 @t98))) % 0.47/0.64 (define @t120 () (or @t107 @t107 @t119)) % 0.47/0.64 (define @t121 () (@list false false)) % 0.47/0.64 (define @t122 () (@var "BOUND_VARIABLE_8074" $$unsorted)) % 0.47/0.64 (define @t123 () (= @t122 (tptp.subset_intersection2 @t33 @t122 @t34))) % 0.47/0.64 (define @t124 () (not (tptp.element @t122 @t36))) % 0.47/0.64 (define @t125 () (or @t124 @t123)) % 0.47/0.64 (define @t126 () (or @t83 @t125)) % 0.47/0.64 (define @t127 () (forall (@list @t1 @t122) @t126)) % 0.47/0.64 (define @t128 () (@list @t122)) % 0.47/0.64 (define @t129 () (forall @t128 @t126)) % 0.47/0.64 (define @t130 () (forall @t128 @t125)) % 0.47/0.64 (define @t131 () (or @t83 @t130)) % 0.47/0.64 (define @t132 () (= @t2 @t64)) % 0.47/0.64 (define @t133 () (forall @t7 (or @t95 @t132))) % 0.47/0.64 (define @t134 () (tptp.subset_intersection2 @t101 @t98 @t100)) % 0.47/0.64 (define @t135 () (= @t98 @t134)) % 0.47/0.64 (define @t136 () (or @t109 @t107 @t135)) % 0.47/0.64 (define @t137 () (@list false false false)) % 0.47/0.64 (define @t138 () (@list @t101 @t100 @t98)) % 0.47/0.64 (define @t139 () (tptp.element @t100 @t105)) % 0.47/0.64 (define @t140 () (or @t109 @t139)) % 0.47/0.64 (define @t141 () (tptp.set_difference @t100 @t98)) % 0.47/0.64 (define @t142 () (= @t102 @t141)) % 0.47/0.64 (define @t143 () (not @t139)) % 0.47/0.64 (define @t144 () (or @t143 @t107 @t142)) % 0.47/0.64 (define @t145 () (tptp.element @t102 @t105)) % 0.47/0.64 (define @t146 () (or @t143 @t107 @t145)) % 0.47/0.64 (define @t147 () (= @t103 (tptp.set_difference @t100 @t102))) % 0.47/0.64 (define @t148 () (not @t145)) % 0.47/0.64 (define @t149 () (or @t143 @t148 @t147)) % 0.47/0.64 (define @t150 () (@list @t101 @t98 @t100)) % 0.47/0.64 (define @t151 () (tptp.subset_intersection2 @t101 @t100 @t98)) % 0.47/0.64 (define @t152 () (= @t134 @t151)) % 0.47/0.64 (define @t153 () (or @t107 @t143 @t152)) % 0.47/0.64 (define @t154 () (tptp.set_intersection2 @t98 @t100)) % 0.47/0.64 (define @t155 () (= @t134 @t154)) % 0.47/0.64 (define @t156 () (or @t107 @t143 @t155)) % 0.47/0.64 (define @t157 () (tptp.set_intersection2 @t100 @t98)) % 0.47/0.64 (define @t158 () (= @t154 @t157)) % 0.47/0.64 (define @t159 () (not @t158)) % 0.47/0.64 (define @t160 () (tptp.set_difference @t100 @t141)) % 0.47/0.64 (define @t161 () (= @t157 @t160)) % 0.47/0.64 (define @t162 () (not @t161)) % 0.47/0.64 (define @t163 () (not @t155)) % 0.47/0.64 (define @t164 () (not @t152)) % 0.47/0.64 (define @t165 () (not @t135)) % 0.47/0.64 (define @t166 () (not @t147)) % 0.47/0.64 (define @t167 () (not @t142)) % 0.47/0.64 (define @t168 () (not @t119)) % 0.47/0.64 (define @t169 () (= @t151 @t157)) % 0.47/0.64 (define @t170 () (not @t169)) % 0.47/0.64 (define @t171 () (and @t119 @t135 @t152 @t155 @t158 @t170)) % 0.47/0.64 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.47/0.64 (assume @p2 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.47/0.64 (assume @p3 (forall @t9 (=> @t11 (forall @t7 (=> @t6 (and @t5 @t10)))))) % 0.47/0.64 (assume @p4 (forall @t9 (=> @t13 (forall @t7 (=> @t6 (and @t5 @t10 @t12)))))) % 0.47/0.64 (assume @p5 (forall @t9 (=> @t15 (forall @t7 (=> @t6 (and @t5 @t10 @t14 @t12)))))) % 0.47/0.64 (assume @p6 (forall @t9 (=> @t16 (forall @t7 (=> @t6 (and @t5 (tptp.natural @t2) @t10 @t14 @t12)))))) % 0.47/0.64 (assume @p7 (forall @t9 (=> @t17 (and @t8 @t11 @t13 @t15 @t16)))) % 0.47/0.64 (assume @p8 (forall @t9 (=> @t8 (forall @t7 (=> @t20 @t18))))) % 0.47/0.64 (assume @p9 (forall @t9 (=> @t11 (forall @t7 (=> @t20 (and @t18 @t21)))))) % 0.47/0.64 (assume @p10 (forall @t9 (=> @t13 (forall @t7 (=> @t20 (and @t18 @t21 @t22)))))) % 0.47/0.64 (assume @p11 (forall @t9 (=> @t15 (forall @t7 (=> @t20 (and @t18 @t21 @t22 @t23)))))) % 0.47/0.64 (assume @p12 (forall @t9 (=> @t16 @t15))) % 0.47/0.64 (assume @p13 (forall @t9 (=> @t16 (forall @t7 (=> @t20 (and @t18 @t21 @t22 @t23 (tptp.v5_membered @t2))))))) % 0.47/0.64 (assume @p14 (forall @t9 (=> @t15 @t13))) % 0.47/0.64 (assume @p15 (forall @t9 (=> @t13 @t11))) % 0.47/0.64 (assume @p16 (forall @t9 (=> @t11 @t8))) % 0.47/0.64 (assume @p17 (forall @t4 (= @t25 @t24))) % 0.47/0.64 (assume @p18 @t32) % 0.47/0.64 (assume @p19 (forall @t9 (=> @t35 (= @t34 @t33)))) % 0.47/0.64 (assume @p20 true) % 0.47/0.64 (assume @p21 @t38) % 0.47/0.64 (assume @p22 (forall @t31 (=> @t30 (tptp.element @t27 @t19)))) % 0.47/0.64 (assume @p23 @t41) % 0.47/0.64 (assume @p24 (exists @t9 @t35)) % 0.47/0.64 (assume @p25 (forall @t9 (exists @t7 @t6))) % 0.47/0.64 (assume @p26 (forall @t9 (not (tptp.empty @t19)))) % 0.47/0.64 (assume @p27 (forall @t4 (=> @t8 @t42))) % 0.47/0.64 (assume @p28 (forall @t4 (=> @t8 @t43))) % 0.47/0.64 (assume @p29 (forall @t4 (=> @t11 (and @t42 @t44)))) % 0.47/0.64 (assume @p30 (forall @t4 (=> @t11 (and @t43 @t45)))) % 0.47/0.64 (assume @p31 (forall @t4 (=> @t13 (and @t42 @t44 @t46)))) % 0.47/0.64 (assume @p32 (forall @t4 (=> @t13 (and @t43 @t45 @t47)))) % 0.47/0.64 (assume @p33 (forall @t4 (=> @t15 (and @t42 @t44 @t46 @t48)))) % 0.47/0.64 (assume @p34 (forall @t4 (=> @t15 (and @t43 @t45 @t47 @t49)))) % 0.47/0.64 (assume @p35 (forall @t4 (=> @t16 (and @t42 @t44 @t46 @t48 (tptp.v5_membered @t25))))) % 0.47/0.64 (assume @p36 (forall @t4 (=> @t16 (and @t43 @t45 @t47 @t49 (tptp.v5_membered @t24))))) % 0.47/0.64 (assume @p37 (forall @t4 (=> @t8 @t51))) % 0.47/0.64 (assume @p38 (forall @t4 (=> @t11 (and @t51 @t52)))) % 0.47/0.64 (assume @p39 (forall @t4 (=> @t13 (and @t51 @t52 @t53)))) % 0.47/0.64 (assume @p40 (forall @t4 (=> @t15 (and @t51 @t52 @t53 @t54)))) % 0.47/0.64 (assume @p41 (forall @t4 (=> @t16 (and @t51 @t52 @t53 @t54 (tptp.v5_membered @t50))))) % 0.47/0.64 (assume @p42 (and (tptp.empty tptp.empty_set) (tptp.v1_membered tptp.empty_set) (tptp.v2_membered tptp.empty_set) (tptp.v3_membered tptp.empty_set) (tptp.v4_membered tptp.empty_set) (tptp.v5_membered tptp.empty_set))) % 0.47/0.64 (assume @p43 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.47/0.64 (assume @p44 @t57) % 0.47/0.64 (assume @p45 (exists @t9 (and @t58 @t8 @t11 @t13 @t15 @t16))) % 0.47/0.64 (assume @p46 (forall @t9 (=> @t58 (exists @t7 (and @t20 (not @t59)))))) % 0.47/0.64 (assume @p47 (forall @t9 (exists @t7 (and @t20 @t59)))) % 0.47/0.64 (assume @p48 @t61) % 0.47/0.64 (assume @p49 @t63) % 0.47/0.64 (assume @p50 (forall @t4 (tptp.subset @t1 @t1))) % 0.47/0.64 (assume @p51 @t69) % 0.47/0.64 (assume @p52 (forall @t4 (=> @t3 @t70))) % 0.47/0.64 (assume @p53 @t76) % 0.47/0.64 (assume @p54 (forall @t9 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.47/0.64 (assume @p55 (forall @t4 (=> @t70 (or @t59 @t3)))) % 0.47/0.64 (assume @p56 (forall @t9 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.47/0.64 (assume @p57 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.47/0.64 (assume @p58 @t78) % 0.47/0.64 (assume @p59 (forall @t9 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.47/0.64 (assume @p60 (forall @t31 (=> (and @t3 @t79) (tptp.element @t1 @t26)))) % 0.47/0.64 (assume @p61 (forall @t31 (not (and @t3 @t79 (tptp.empty @t26))))) % 0.47/0.64 (assume @p62 (forall @t9 (=> @t17 (= @t1 tptp.empty_set)))) % 0.47/0.64 (assume @p63 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0.47/0.65 (step-pop @p302 :rule scope :premises (@p301)) % 0.47/0.65 (step @p257 :rule process_scope :premises (@p302) :args (false)) % 0.47/0.65 (assume-push @p303 @t111) % 0.47/0.65 (assume-push @p304 @t119) % 0.47/0.65 (assume-push @p305 @t142) % 0.47/0.65 (assume-push @p306 @t147) % 0.47/0.65 (assume-push @p307 @t135) % 0.47/0.65 (assume-push @p308 @t152) % 0.47/0.65 (assume-push @p309 @t155) % 0.47/0.65 (assume-push @p310 @t161) % 0.47/0.65 (assume-push @p311 @t158) % 0.47/0.65 (step @p246 :rule false_intro :premises (@p95)) % 0.47/0.65 (step @p247 :rule symm :premises (@p190)) % 0.47/0.65 (step @p248 :rule symm :premises (@p174)) % 0.47/0.65 (step @p249 :rule refl :args (@t100)) % 0.47/0.65 (step @p250 :rule cong :premises (@p249 @p248) :args (@t160)) % 0.47/0.65 (step @p251 :rule trans :premises (@p194 @p250 @p247)) % 0.47/0.65 (step @p237 :rule symm :premises (@p155)) % 0.47/0.65 (step @p242 :rule symm :premises (@p206)) % 0.47/0.65 (step @p243 :rule trans :premises (@p242 @p237)) % 0.47/0.65 (step @p252 :rule cong :premises (@p243 @p251) :args (@t169)) % 0.47/0.65 (step @p273 :rule trans :premises (@p252 @p246)) % 0.47/0.65 (step @p274 :rule false_elim :premises (@p273)) % 0.47/0.65 (step @p275 :rule and_intro :premises (@p121 @p155 @p206 @p218 @p219 @p274)) % 0.47/0.65 (step-pop @p312 :rule scope :premises (@p275)) % 0.47/0.65 (step-pop @p313 :rule scope :premises (@p312)) % 0.47/0.65 (step-pop @p314 :rule scope :premises (@p313)) % 0.47/0.65 (step-pop @p315 :rule scope :premises (@p314)) % 0.47/0.65 (step-pop @p316 :rule scope :premises (@p315)) % 0.47/0.65 (step-pop @p317 :rule scope :premises (@p316)) % 0.47/0.65 (step-pop @p318 :rule scope :premises (@p317)) % 0.47/0.65 (step-pop @p319 :rule scope :premises (@p318)) % 0.47/0.65 (step-pop @p320 :rule scope :premises (@p319)) % 0.47/0.65 (step @p276 :rule process_scope :premises (@p320) :args (@t171)) % 0.47/0.65 (step @p286 :rule implies_elim :premises (@p276)) % 0.47/0.65 (step @p287 :rule resolution :premises (@p286 @p257) :args (true @t171)) % 0.47/0.65 (step @p288 :rule not_and :premises (@p287)) % 0.47/0.65 (step @p289 :rule eq_resolve :premises (@p288 @p229)) % 0.47/0.65 (step @p290 false :rule chain_m_resolution :premises (@p289 @p219 @p218 @p206 @p194 @p190 @p174 @p155 @p121 @p95) :args (false (@list false false false false false false false false true) (@list @t158 @t155 @t152 @t161 @t147 @t142 @t135 @t119 @t104))) % 0.47/0.65 ) % 0.47/0.65 % SZS output end Proof % 0.47/0.65 % cvc5 exiting %------------------------------------------------------------------------------