%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRA002+3 : TPTP v9.2.1. Bugfixed v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:18:30 AM UTC 2026 % Result : Theorem 4.12s 4.33s % Output : Proof 4.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRA002+3 : TPTP v9.2.1. Bugfixed v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n011.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 % 0.16/0.34 % DateTime : Tue Jun 2 00:13:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 4.12/4.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 4.12/4.33 % SZS status Theorem % 4.12/4.33 % SZS output start Proof % 4.12/4.33 ( % 4.12/4.33 (declare-sort $$unsorted 0) % 4.12/4.33 (declare-const tptp.graph $$unsorted) % 4.12/4.33 (declare-const tptp.number_of_in (-> $$unsorted $$unsorted $$unsorted)) % 4.12/4.33 (declare-const tptp.edges $$unsorted) % 4.12/4.33 (declare-const tptp.triangle (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.12/4.33 (declare-const tptp.shortest_path (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.12/4.33 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 4.12/4.33 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 4.12/4.33 (declare-const tptp.tail_of (-> $$unsorted $$unsorted)) % 4.12/4.33 (declare-const tptp.triangles $$unsorted) % 4.12/4.33 (declare-const tptp.in_path (-> $$unsorted $$unsorted Bool)) % 4.12/4.33 (declare-const tptp.head_of (-> $$unsorted $$unsorted)) % 4.12/4.33 (declare-const tptp.sequential_pairs $$unsorted) % 4.12/4.33 (declare-const tptp.edge (-> $$unsorted Bool)) % 4.12/4.33 (declare-const tptp.path_cons (-> $$unsorted $$unsorted $$unsorted)) % 4.12/4.33 (declare-const tptp.precedes (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.12/4.33 (declare-const tptp.complete Bool) % 4.12/4.33 (declare-const tptp.path (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.12/4.33 (declare-const tptp.vertex (-> $$unsorted Bool)) % 4.12/4.33 (declare-const tptp.on_path (-> $$unsorted $$unsorted Bool)) % 4.12/4.33 (declare-const tptp.empty $$unsorted) % 4.12/4.33 (declare-const tptp.n1 $$unsorted) % 4.12/4.33 (declare-const tptp.sequential (-> $$unsorted $$unsorted Bool)) % 4.12/4.33 (declare-const tptp.length_of (-> $$unsorted $$unsorted)) % 4.12/4.33 (define @t1 () (@var "E" $$unsorted)) % 4.12/4.33 (define @t2 () (tptp.tail_of @t1)) % 4.12/4.33 (define @t3 () (tptp.head_of @t1)) % 4.12/4.33 (define @t4 () (tptp.edge @t1)) % 4.12/4.33 (define @t5 () (@list @t1)) % 4.12/4.33 (define @t6 () (@var "V1" $$unsorted)) % 4.12/4.33 (define @t7 () (= @t6 @t2)) % 4.12/4.33 (define @t8 () (@var "V2" $$unsorted)) % 4.12/4.33 (define @t9 () (= @t8 @t3)) % 4.12/4.33 (define @t10 () (not (= @t6 @t8))) % 4.12/4.33 (define @t11 () (tptp.vertex @t8)) % 4.12/4.33 (define @t12 () (tptp.vertex @t6)) % 4.12/4.33 (define @t13 () (@var "P" $$unsorted)) % 4.12/4.33 (define @t14 () (tptp.path @t6 @t8 @t13)) % 4.12/4.33 (define @t15 () (@var "TP" $$unsorted)) % 4.12/4.33 (define @t16 () (exists (@list @t15) (and (tptp.path @t3 @t8 @t15) (= @t13 (tptp.path_cons @t1 @t15))))) % 4.12/4.33 (define @t17 () (and @t9 (= @t13 (tptp.path_cons @t1 tptp.empty)))) % 4.12/4.33 (define @t18 () (@list @t6 @t8 @t13)) % 4.12/4.33 (define @t19 () (tptp.on_path @t1 @t13)) % 4.12/4.33 (define @t20 () (@var "V" $$unsorted)) % 4.12/4.33 (define @t21 () (@var "E2" $$unsorted)) % 4.12/4.33 (define @t22 () (@var "E1" $$unsorted)) % 4.12/4.33 (define @t23 () (tptp.edge @t21)) % 4.12/4.33 (define @t24 () (tptp.edge @t22)) % 4.12/4.33 (define @t25 () (tptp.sequential @t22 @t21)) % 4.12/4.33 (define @t26 () (@list @t22 @t21)) % 4.12/4.33 (define @t27 () (tptp.precedes @t22 @t21 @t13)) % 4.12/4.33 (define @t28 () (@var "E3" $$unsorted)) % 4.12/4.33 (define @t29 () (tptp.precedes @t28 @t21 @t13)) % 4.12/4.33 (define @t30 () (tptp.sequential @t22 @t28)) % 4.12/4.33 (define @t31 () (and @t30 @t29)) % 4.12/4.33 (define @t32 () (@list @t28)) % 4.12/4.33 (define @t33 () (exists @t32 @t31)) % 4.12/4.33 (define @t34 () (or @t25 @t33)) % 4.12/4.33 (define @t35 () (tptp.on_path @t21 @t13)) % 4.12/4.33 (define @t36 () (tptp.on_path @t22 @t13)) % 4.12/4.33 (define @t37 () (and @t36 @t35 @t34)) % 4.12/4.33 (define @t38 () (=> @t37 @t27)) % 4.12/4.33 (define @t39 () (forall @t26 @t38)) % 4.12/4.33 (define @t40 () (=> @t14 @t39)) % 4.12/4.33 (define @t41 () (@list @t13 @t6 @t8)) % 4.12/4.33 (define @t42 () (forall @t41 @t40)) % 4.12/4.33 (define @t43 () (tptp.length_of @t13)) % 4.12/4.33 (define @t44 () (@var "SP" $$unsorted)) % 4.12/4.33 (define @t45 () (tptp.less_or_equal (tptp.length_of @t44) @t43)) % 4.12/4.33 (define @t46 () (@list @t13)) % 4.12/4.33 (define @t47 () (forall @t46 (=> @t14 @t45))) % 4.12/4.33 (define @t48 () (tptp.path @t6 @t8 @t44)) % 4.12/4.33 (define @t49 () (and @t48 @t10 @t47)) % 4.12/4.33 (define @t50 () (tptp.shortest_path @t6 @t8 @t44)) % 4.12/4.33 (define @t51 () (= @t50 @t49)) % 4.12/4.33 (define @t52 () (forall (@list @t6 @t8 @t44) @t51)) % 4.12/4.33 (define @t53 () (tptp.shortest_path @t6 @t8 @t13)) % 4.12/4.33 (define @t54 () (@list @t6 @t8 @t22 @t21 @t13)) % 4.12/4.33 (define @t55 () (tptp.triangle @t22 @t21 @t28)) % 4.12/4.33 (define @t56 () (tptp.minus @t43 tptp.n1)) % 4.12/4.33 (define @t57 () (tptp.number_of_in tptp.sequential_pairs @t13)) % 4.12/4.33 (define @t58 () (= @t57 @t56)) % 4.12/4.33 (define @t59 () (forall @t18 (=> @t14 @t58))) % 4.12/4.33 (define @t60 () (= @t57 (tptp.number_of_in tptp.triangles @t13))) % 4.12/4.33 (define @t61 () (exists @t32 @t55)) % 4.12/4.33 (define @t62 () (and @t36 @t35 @t25)) % 4.12/4.33 (define @t63 () (=> @t62 @t61)) % 4.12/4.33 (define @t64 () (forall @t26 @t63)) % 4.12/4.33 (define @t65 () (and @t14 @t64)) % 4.12/4.33 (define @t66 () (=> @t65 @t60)) % 4.12/4.33 (define @t67 () (forall @t41 @t66)) % 4.12/4.33 (define @t68 () (@var "Things" $$unsorted)) % 4.12/4.33 (define @t69 () (@var "InThese" $$unsorted)) % 4.12/4.33 (define @t70 () (and @t53 @t27 @t25)) % 4.12/4.33 (define @t71 () (=> @t70 @t61)) % 4.12/4.33 (define @t72 () (forall @t54 @t71)) % 4.12/4.33 (define @t73 () (=> tptp.complete @t72)) % 4.12/4.33 (define @t74 () (tptp.number_of_in tptp.triangles tptp.graph)) % 4.12/4.33 (define @t75 () (tptp.less_or_equal @t56 @t74)) % 4.12/4.33 (define @t76 () (forall @t41 (=> @t53 @t75))) % 4.12/4.33 (define @t77 () (=> tptp.complete @t76)) % 4.12/4.33 (define @t78 () (not @t77)) % 4.12/4.33 (define @t79 () (not (forall @t32 (not @t55)))) % 4.12/4.33 (define @t80 () (not @t25)) % 4.12/4.33 (define @t81 () (not @t27)) % 4.12/4.33 (define @t82 () (not @t53)) % 4.12/4.33 (define @t83 () (or @t82 @t81 @t80 @t79)) % 4.12/4.33 (define @t84 () (or @t82 @t81 @t80)) % 4.12/4.33 (define @t85 () (forall @t54 @t83)) % 4.12/4.33 (define @t86 () (@list false)) % 4.12/4.33 (define @t87 () (@var "BOUND_VARIABLE_7836" $$unsorted)) % 4.12/4.33 (define @t88 () (@var "BOUND_VARIABLE_7834" $$unsorted)) % 4.12/4.33 (define @t89 () (tptp.precedes @t88 @t87 @t13)) % 4.12/4.33 (define @t90 () (@var "BOUND_VARIABLE_7838" $$unsorted)) % 4.12/4.33 (define @t91 () (and (not (tptp.sequential @t88 @t87)) (or (not (tptp.sequential @t88 @t90)) (not (tptp.precedes @t90 @t87 @t13))))) % 4.12/4.33 (define @t92 () (not (tptp.on_path @t87 @t13))) % 4.12/4.33 (define @t93 () (not (tptp.on_path @t88 @t13))) % 4.12/4.33 (define @t94 () (not @t14)) % 4.12/4.33 (define @t95 () (or @t93 @t92 @t91 @t89)) % 4.12/4.33 (define @t96 () (or @t94 @t95)) % 4.12/4.33 (define @t97 () (forall (@list @t13 @t6 @t8 @t88 @t87 @t90) @t96)) % 4.12/4.33 (define @t98 () (@list @t88 @t87 @t90)) % 4.12/4.33 (define @t99 () (forall @t98 @t96)) % 4.12/4.33 (define @t100 () (forall @t98 @t95)) % 4.12/4.33 (define @t101 () (@var "BOUND_VARIABLE_7819" $$unsorted)) % 4.12/4.33 (define @t102 () (or @t94 @t100)) % 4.12/4.33 (define @t103 () (or (not (tptp.sequential @t22 @t101)) (not (tptp.precedes @t101 @t21 @t13)))) % 4.12/4.33 (define @t104 () (and @t80 @t103)) % 4.12/4.33 (define @t105 () (not @t35)) % 4.12/4.33 (define @t106 () (not @t36)) % 4.12/4.33 (define @t107 () (or @t106 @t105 @t104 @t27)) % 4.12/4.33 (define @t108 () (forall (@list @t22 @t21 @t101) @t107)) % 4.12/4.33 (define @t109 () (@list @t101)) % 4.12/4.33 (define @t110 () (forall @t109 @t107)) % 4.12/4.33 (define @t111 () (forall @t109 @t103)) % 4.12/4.33 (define @t112 () (forall @t109 @t80)) % 4.12/4.33 (define @t113 () (and @t112 @t111)) % 4.12/4.33 (define @t114 () (forall @t109 @t104)) % 4.12/4.33 (define @t115 () (or @t106 @t105 @t114 @t27)) % 4.12/4.33 (define @t116 () (forall @t32 (or (not @t30) (not @t29)))) % 4.12/4.33 (define @t117 () (and @t80 @t116)) % 4.12/4.33 (define @t118 () (or @t106 @t105 @t117 @t27)) % 4.12/4.33 (define @t119 () (not @t116)) % 4.12/4.33 (define @t120 () (or @t25 @t119)) % 4.12/4.33 (define @t121 () (not @t120)) % 4.12/4.33 (define @t122 () (or @t106 @t105 @t121)) % 4.12/4.33 (define @t123 () (and @t36 @t35 @t120)) % 4.12/4.33 (define @t124 () (forall @t32 (not @t31))) % 4.12/4.33 (define @t125 () (not @t124)) % 4.12/4.33 (define @t126 () (forall @t41 (or @t82 @t75))) % 4.12/4.33 (define @t127 () (@quantifiers_skolemize @t126 0)) % 4.12/4.33 (define @t128 () (forall @t26 (or (not (tptp.on_path @t22 @t127)) (not (tptp.on_path @t21 @t127)) @t80 @t79))) % 4.12/4.33 (define @t129 () (@quantifiers_skolemize @t128 0)) % 4.12/4.33 (define @t130 () (@quantifiers_skolemize @t128 1)) % 4.12/4.33 (define @t131 () (@quantifiers_skolemize @t126 2)) % 4.12/4.33 (define @t132 () (@quantifiers_skolemize @t126 1)) % 4.12/4.33 (define @t133 () (or @t106 @t105 @t80 @t79)) % 4.12/4.33 (define @t134 () (forall @t26 @t133)) % 4.12/4.33 (define @t135 () (not @t134)) % 4.12/4.33 (define @t136 () (and @t14 @t134)) % 4.12/4.33 (define @t137 () (or @t106 @t105 @t80)) % 4.12/4.33 (define @t138 () (tptp.number_of_in tptp.sequential_pairs @t127)) % 4.12/4.33 (define @t139 () (tptp.length_of @t127)) % 4.12/4.33 (define @t140 () (tptp.minus @t139 tptp.n1)) % 4.12/4.33 (define @t141 () (tptp.path @t132 @t131 @t127)) % 4.12/4.33 (define @t142 () (not @t141)) % 4.12/4.33 (define @t143 () (or @t142 (= @t138 @t140))) % 4.12/4.33 (define @t144 () (forall @t18 (or @t94 @t58))) % 4.12/4.33 (define @t145 () (@list @t132 @t131 @t127)) % 4.12/4.33 (define @t146 () (= @t140 @t138)) % 4.12/4.33 (define @t147 () (or @t142 @t146)) % 4.12/4.33 (define @t148 () (tptp.shortest_path @t132 @t131 @t127)) % 4.12/4.33 (define @t149 () (tptp.less_or_equal @t140 @t74)) % 4.12/4.33 (define @t150 () (not @t148)) % 4.12/4.33 (define @t151 () (or @t150 @t149)) % 4.12/4.33 (define @t152 () (@list true)) % 4.12/4.33 (define @t153 () (@list @t151)) % 4.12/4.33 (define @t154 () (and @t141 (not (= @t132 @t131)) (forall @t46 (or (not (tptp.path @t132 @t131 @t13)) (tptp.less_or_equal @t139 @t43))))) % 4.12/4.33 (define @t155 () (= @t148 @t154)) % 4.12/4.33 (define @t156 () (@list false false)) % 4.12/4.33 (define @t157 () (not @t149)) % 4.12/4.33 (define @t158 () (tptp.number_of_in tptp.triangles @t127)) % 4.12/4.33 (define @t159 () (tptp.less_or_equal @t158 @t74)) % 4.12/4.33 (define @t160 () (not @t159)) % 4.12/4.33 (define @t161 () (= @t138 @t158)) % 4.12/4.33 (define @t162 () (not @t161)) % 4.12/4.33 (define @t163 () (not @t146)) % 4.12/4.33 (define @t164 () (not @t128)) % 4.12/4.33 (define @t165 () (or @t142 @t164 @t161)) % 4.12/4.33 (define @t166 () (forall @t32 (not (tptp.triangle @t129 @t130 @t28)))) % 4.12/4.33 (define @t167 () (not @t166)) % 4.12/4.33 (define @t168 () (tptp.sequential @t129 @t130)) % 4.12/4.33 (define @t169 () (not @t168)) % 4.12/4.33 (define @t170 () (tptp.on_path @t130 @t127)) % 4.12/4.33 (define @t171 () (not @t170)) % 4.12/4.33 (define @t172 () (tptp.on_path @t129 @t127)) % 4.12/4.33 (define @t173 () (not @t172)) % 4.12/4.33 (define @t174 () (or @t173 @t171 @t169 @t167)) % 4.12/4.33 (define @t175 () (not @t174)) % 4.12/4.33 (define @t176 () (@list @t174)) % 4.12/4.33 (define @t177 () (tptp.precedes @t129 @t130 @t127)) % 4.12/4.33 (define @t178 () (not @t177)) % 4.12/4.33 (define @t179 () (and @t169 (or (not (tptp.sequential @t129 @t129)) @t178))) % 4.12/4.33 (define @t180 () (not @t179)) % 4.12/4.33 (define @t181 () (or @t142 @t173 @t171 @t179 @t177)) % 4.12/4.33 (define @t182 () (or @t150 @t178 @t169 @t167)) % 4.12/4.33 (define @t183 () (not @t182)) % 4.12/4.33 (assume @p1 (forall @t5 (=> @t4 (not (= @t3 @t2))))) % 4.12/4.33 (assume @p2 (forall @t5 (=> @t4 (and (tptp.vertex @t3) (tptp.vertex @t2))))) % 4.12/4.33 (assume @p3 (=> tptp.complete (forall (@list @t6 @t8) (=> (and @t12 @t11 @t10) (exists @t5 (and @t4 (xor (and (= @t6 @t3) (= @t8 @t2)) (and @t9 @t7)))))))) % 4.12/4.33 (assume @p4 (forall @t18 (=> (and @t12 @t11 (exists @t5 (and @t4 @t7 (or @t17 @t16)))) @t14))) % 4.12/4.33 (assume @p5 (forall @t18 (=> @t14 (and @t12 @t11 (exists @t5 (and @t4 @t7 (xor @t17 @t16))))))) % 4.12/4.33 (assume @p6 (forall (@list @t6 @t8 @t13 @t1) (=> (and @t14 @t19) (and @t4 (tptp.in_path @t3 @t13) (tptp.in_path @t2 @t13))))) % 4.12/4.33 (assume @p7 (forall (@list @t6 @t8 @t13 @t20) (=> (and @t14 (tptp.in_path @t20 @t13)) (and (tptp.vertex @t20) (exists @t5 (and @t19 (or (= @t20 @t3) (= @t20 @t2)))))))) % 4.12/4.33 (assume @p8 (forall @t26 (= @t25 (and @t24 @t23 (not (= @t22 @t21)) (= (tptp.head_of @t22) (tptp.tail_of @t21)))))) % 4.12/4.33 (assume @p9 @t42) % 4.12/4.33 (assume @p10 (forall @t41 (=> @t14 (forall @t26 (=> @t27 (and @t36 @t35 (xor @t25 @t33))))))) % 4.12/4.33 (assume @p11 @t52) % 4.12/4.33 (assume @p12 (forall @t54 (=> (and @t53 @t27) (and (not (exists @t32 (and (= (tptp.tail_of @t28) (tptp.tail_of @t22)) (= (tptp.head_of @t28) (tptp.head_of @t21))))) (not (tptp.precedes @t21 @t22 @t13)))))) % 4.12/4.33 (assume @p13 (forall (@list @t22 @t21 @t28) (= @t55 (and @t24 @t23 (tptp.edge @t28) @t25 (tptp.sequential @t21 @t28) (tptp.sequential @t28 @t22))))) % 4.12/4.33 (assume @p14 (forall @t18 (=> @t14 (= @t43 (tptp.number_of_in tptp.edges @t13))))) % 4.12/4.33 (assume @p15 @t59) % 4.12/4.33 (assume @p16 @t67) % 4.12/4.33 (assume @p17 (forall (@list @t68 @t69) (tptp.less_or_equal (tptp.number_of_in @t68 @t69) (tptp.number_of_in @t68 tptp.graph)))) % 4.12/4.33 (assume @p18 @t73) % 4.12/4.33 (assume @p19 @t78) % 4.12/4.33 (assume @p20 true) % 4.12/4.33 (step @p21 :rule bool-impl-elim :args (@t53 @t75)) % 4.12/4.33 (step @p22 :rule cong :premises (@p21) :args (@t76)) % 4.12/4.33 (step @p23 :rule refl :args (tptp.complete)) % 4.12/4.33 (step @p24 :rule cong :premises (@p23 @p22) :args (@t77)) % 4.12/4.33 (step @p25 :rule cong :premises (@p24) :args (@t78)) % 4.12/4.33 (step @p26 :rule eq_resolve :premises (@p19 @p25)) % 4.12/4.33 (step @p27 :rule not_implies_elim1 :premises (@p26)) % 4.12/4.33 (step @p28 :rule aci_norm :args ((= (or @t84 @t79) @t83))) % 4.12/4.33 (step @p29 :rule refl :args (@t79)) % 4.12/4.33 (step @p30 :rule aci_norm :args ((= (or @t82 (or @t81 @t80)) @t84))) % 4.12/4.33 (step @p31 :rule bool-and-de-morgan :args (@t27 @t25 true)) % 4.12/4.33 (step @p32 :rule refl :args (@t82)) % 4.12/4.33 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t82 (not (and @t27 @t25))))) % 4.12/4.33 (step @p34 :rule bool-and-de-morgan :args (@t53 @t27 (and @t25))) % 4.12/4.33 (step @p35 :rule trans :premises (@p34 @p33)) % 4.12/4.33 (step @p36 :rule trans :premises (@p35 @p30)) % 4.12/4.33 (step @p37 :rule nary_cong :premises (@p36 @p29) :args ((or (not @t70) @t79))) % 4.12/4.33 (step @p38 :rule trans :premises (@p37 @p28)) % 4.12/4.33 (step @p39 :rule bool-impl-elim :args (@t70 @t79)) % 4.12/4.33 (step @p40 :rule trans :premises (@p39 @p38)) % 4.12/4.33 (step @p41 :rule cong :premises (@p40) :args ((forall @t54 (=> @t70 @t79)))) % 4.12/4.33 (step @p42 :rule exists-elim :args ((= @t61 @t79))) % 4.12/4.33 (step @p43 :rule refl :args (@t70)) % 4.12/4.33 (step @p44 :rule cong :premises (@p43 @p42) :args (@t71)) % 4.12/4.33 (step @p45 :rule cong :premises (@p44) 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:premises (@p243 @p242)) % 4.12/4.33 (step @p245 :rule reordering :premises (@p244) :args ((or @t168 @t174))) % 4.12/4.33 (step @p246 :rule chain_m_resolution :premises (@p245 @p239) :args (@t168 @t152 @t176)) % 4.12/4.33 (step @p247 :rule cnf_and_pos :args (@t179 0)) % 4.12/4.33 (step @p248 :rule reordering :premises (@p247) :args ((or @t169 @t180))) % 4.12/4.33 (step @p249 :rule chain_m_resolution :premises (@p248 @p246) :args (@t180 @t86 (@list @t168))) % 4.12/4.33 (step @p250 :rule bool-double-not-elim :args (@t170)) % 4.12/4.33 (step @p251 :rule nary_cong :premises (@p241 @p250) :args ((or @t174 (not @t171)))) % 4.12/4.33 (step @p252 :rule cnf_or_neg :args (@t174 1)) % 4.12/4.33 (step @p253 :rule eq_resolve :premises (@p252 @p251)) % 4.12/4.33 (step @p254 :rule reordering :premises (@p253) :args ((or @t170 @t174))) % 4.12/4.35 (step @p255 :rule chain_m_resolution :premises (@p254 @p239) :args (@t170 @t152 @t176)) % 4.12/4.35 (step @p256 :rule bool-double-not-elim :args (@t172)) % 4.12/4.35 (step @p257 :rule nary_cong :premises (@p241 @p256) :args ((or @t174 (not @t173)))) % 4.12/4.35 (step @p258 :rule cnf_or_neg :args (@t174 0)) % 4.12/4.35 (step @p259 :rule eq_resolve :premises (@p258 @p257)) % 4.12/4.35 (step @p260 :rule reordering :premises (@p259) :args ((or @t172 @t174))) % 4.12/4.35 (step @p261 :rule chain_m_resolution :premises (@p260 @p239) :args (@t172 @t152 @t176)) % 4.12/4.35 (step @p262 :rule cnf_or_pos :args (@t181)) % 4.12/4.35 (step @p263 :rule reordering :premises (@p262) :args ((or @t142 @t173 @t171 @t177 @t179 (not @t181)))) % 4.12/4.35 (step @p264 :rule chain_m_resolution :premises (@p263 @p193 @p261 @p255 @p249 @p121) :args (@t177 (@list false false false true false) (@list @t141 @t172 @t170 @t179 @t181))) % 4.12/4.35 (step @p265 :rule bool-double-not-elim :args (@t166)) % 4.12/4.35 (step @p266 :rule nary_cong :premises (@p241 @p265) :args ((or @t174 (not @t167)))) % 4.12/4.35 (step @p267 :rule cnf_or_neg :args (@t174 3)) % 4.12/4.35 (step @p268 :rule eq_resolve :premises (@p267 @p266)) % 4.12/4.35 (step @p269 :rule reordering :premises (@p268) :args ((or @t166 @t174))) % 4.12/4.35 (step @p270 :rule chain_m_resolution :premises (@p269 @p239) :args (@t166 @t152 @t176)) % 4.12/4.35 (step @p271 :rule cnf_or_pos :args (@t182)) % 4.12/4.35 (step @p272 :rule reordering :premises (@p271) :args ((or @t150 @t169 @t167 @t178 @t183))) % 4.12/4.35 (step @p273 :rule chain_m_resolution :premises (@p272 @p187 @p246 @p270 @p264) :args (@t183 (@list false false false false) (@list @t148 @t168 @t166 @t177))) % 4.12/4.35 (assume-push @p292 @t85) % 4.12/4.35 (step @p275 :rule instantiate :premises (@p51) :args ((@list @t132 @t131 @t129 @t130 @t127))) % 4.12/4.35 (step-pop @p293 :rule scope :premises (@p275)) % 4.12/4.35 (step @p276 :rule process_scope :premises (@p293) :args (@t182)) % 4.12/4.35 (step @p278 :rule implies_elim :premises (@p276)) % 4.12/4.35 (step @p279 false :rule chain_m_resolution :premises (@p278 @p273 @p51) :args (false (@list true false) (@list @t182 @t85))) % 4.12/4.35 ) % 4.12/4.35 % SZS output end Proof % 4.12/4.35 % cvc5 exiting %------------------------------------------------------------------------------