%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRA009+2 : 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 : n028.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 08:18:31 AM UTC 2026 % Result : Theorem 34.86s 35.07s % Output : Proof 34.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRA009+2 : TPTP v9.2.1. Bugfixed v3.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n028.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 00:14:35 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 34.86/35.07 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.86/35.07 --- Run --no-e-matching --full-saturate-quant at 6... % 34.86/35.07 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.86/35.07 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.86/35.07 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.86/35.07 % SZS status Theorem % 34.86/35.07 % SZS output start Proof % 34.86/35.07 ( % 34.86/35.07 (declare-sort $$unsorted 0) % 34.86/35.07 (declare-const tptp.graph $$unsorted) % 34.86/35.07 (declare-const tptp.number_of_in (-> $$unsorted $$unsorted $$unsorted)) % 34.86/35.07 (declare-const tptp.edges $$unsorted) % 34.86/35.07 (declare-const tptp.triangle (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.86/35.07 (declare-const tptp.shortest_path (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.86/35.07 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 34.86/35.07 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 34.86/35.07 (declare-const tptp.tail_of (-> $$unsorted $$unsorted)) % 34.86/35.07 (declare-const tptp.triangles $$unsorted) % 34.86/35.07 (declare-const tptp.in_path (-> $$unsorted $$unsorted Bool)) % 34.86/35.07 (declare-const tptp.head_of (-> $$unsorted $$unsorted)) % 34.86/35.07 (declare-const tptp.sequential_pairs $$unsorted) % 34.86/35.07 (declare-const tptp.edge (-> $$unsorted Bool)) % 34.86/35.07 (declare-const tptp.path_cons (-> $$unsorted $$unsorted $$unsorted)) % 34.86/35.07 (declare-const tptp.precedes (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.86/35.07 (declare-const tptp.complete Bool) % 34.86/35.07 (declare-const tptp.path (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.86/35.07 (declare-const tptp.vertex (-> $$unsorted Bool)) % 34.86/35.07 (declare-const tptp.on_path (-> $$unsorted $$unsorted Bool)) % 34.86/35.07 (declare-const tptp.empty $$unsorted) % 34.86/35.07 (declare-const tptp.n1 $$unsorted) % 34.86/35.07 (declare-const tptp.sequential (-> $$unsorted $$unsorted Bool)) % 34.86/35.07 (declare-const tptp.length_of (-> $$unsorted $$unsorted)) % 34.86/35.07 (define @t1 () (@var "E" $$unsorted)) % 34.86/35.07 (define @t2 () (tptp.tail_of @t1)) % 34.86/35.07 (define @t3 () (tptp.head_of @t1)) % 34.86/35.07 (define @t4 () (not (= @t3 @t2))) % 34.86/35.07 (define @t5 () (tptp.edge @t1)) % 34.86/35.07 (define @t6 () (@list @t1)) % 34.86/35.07 (define @t7 () (forall @t6 (=> @t5 @t4))) % 34.86/35.07 (define @t8 () (and (tptp.vertex @t3) (tptp.vertex @t2))) % 34.86/35.07 (define @t9 () (forall @t6 (=> @t5 @t8))) % 34.86/35.07 (define @t10 () (@var "V1" $$unsorted)) % 34.86/35.07 (define @t11 () (= @t10 @t2)) % 34.86/35.07 (define @t12 () (@var "V2" $$unsorted)) % 34.86/35.07 (define @t13 () (= @t12 @t3)) % 34.86/35.07 (define @t14 () (and @t13 @t11)) % 34.86/35.07 (define @t15 () (and (= @t10 @t3) (= @t12 @t2))) % 34.86/35.07 (define @t16 () (xor @t15 @t14)) % 34.86/35.07 (define @t17 () (and @t5 @t16)) % 34.86/35.07 (define @t18 () (exists @t6 @t17)) % 34.86/35.07 (define @t19 () (= @t10 @t12)) % 34.86/35.07 (define @t20 () (not @t19)) % 34.86/35.07 (define @t21 () (tptp.vertex @t12)) % 34.86/35.07 (define @t22 () (tptp.vertex @t10)) % 34.86/35.07 (define @t23 () (and @t22 @t21 @t20)) % 34.86/35.07 (define @t24 () (=> @t23 @t18)) % 34.86/35.07 (define @t25 () (@list @t10 @t12)) % 34.86/35.07 (define @t26 () (forall @t25 @t24)) % 34.86/35.07 (define @t27 () (=> tptp.complete @t26)) % 34.86/35.07 (define @t28 () (@var "P" $$unsorted)) % 34.86/35.07 (define @t29 () (tptp.path @t10 @t12 @t28)) % 34.86/35.07 (define @t30 () (@var "TP" $$unsorted)) % 34.86/35.07 (define @t31 () (exists (@list @t30) (and (tptp.path @t3 @t12 @t30) (= @t28 (tptp.path_cons @t1 @t30))))) % 34.86/35.07 (define @t32 () (and @t13 (= @t28 (tptp.path_cons @t1 tptp.empty)))) % 34.86/35.07 (define @t33 () (@list @t10 @t12 @t28)) % 34.86/35.07 (define @t34 () (tptp.on_path @t1 @t28)) % 34.86/35.07 (define @t35 () (@var "V" $$unsorted)) % 34.86/35.07 (define @t36 () (@var "E2" $$unsorted)) % 34.86/35.07 (define @t37 () (@var "E1" $$unsorted)) % 34.86/35.07 (define @t38 () (tptp.edge @t36)) % 34.86/35.07 (define @t39 () (tptp.edge @t37)) % 34.86/35.07 (define @t40 () (tptp.sequential @t37 @t36)) % 34.86/35.07 (define @t41 () (@list @t37 @t36)) % 34.86/35.07 (define @t42 () (forall @t41 (= @t40 (and @t39 @t38 (not (= @t37 @t36)) (= (tptp.head_of @t37) (tptp.tail_of @t36)))))) % 34.86/35.07 (define @t43 () (tptp.precedes @t37 @t36 @t28)) % 34.86/35.07 (define @t44 () (@var "E3" $$unsorted)) % 34.86/35.07 (define @t45 () (tptp.precedes @t44 @t36 @t28)) % 34.86/35.07 (define @t46 () (tptp.sequential @t37 @t44)) % 34.86/35.07 (define @t47 () (and @t46 @t45)) % 34.86/35.07 (define @t48 () (@list @t44)) % 34.86/35.07 (define @t49 () (exists @t48 @t47)) % 34.86/35.07 (define @t50 () (or @t40 @t49)) % 34.86/35.07 (define @t51 () (tptp.on_path @t36 @t28)) % 34.86/35.07 (define @t52 () (tptp.on_path @t37 @t28)) % 34.86/35.07 (define @t53 () (and @t52 @t51 @t50)) % 34.86/35.07 (define @t54 () (=> @t53 @t43)) % 34.86/35.07 (define @t55 () (forall @t41 @t54)) % 34.86/35.07 (define @t56 () (=> @t29 @t55)) % 34.86/35.07 (define @t57 () (@list @t28 @t10 @t12)) % 34.86/35.07 (define @t58 () (forall @t57 @t56)) % 34.86/35.07 (define @t59 () (tptp.length_of @t28)) % 34.86/35.07 (define @t60 () (@var "SP" $$unsorted)) % 34.86/35.07 (define @t61 () (tptp.less_or_equal (tptp.length_of @t60) @t59)) % 34.86/35.07 (define @t62 () (@list @t28)) % 34.86/35.07 (define @t63 () (forall @t62 (=> @t29 @t61))) % 34.86/35.07 (define @t64 () (tptp.path @t10 @t12 @t60)) % 34.86/35.07 (define @t65 () (and @t64 @t20 @t63)) % 34.86/35.07 (define @t66 () (tptp.shortest_path @t10 @t12 @t60)) % 34.86/35.07 (define @t67 () (= @t66 @t65)) % 34.86/35.07 (define @t68 () (forall (@list @t10 @t12 @t60) @t67)) % 34.86/35.07 (define @t69 () (not (tptp.precedes @t36 @t37 @t28))) % 34.86/35.07 (define @t70 () (tptp.head_of @t36)) % 34.86/35.07 (define @t71 () (= (tptp.head_of @t44) @t70)) % 34.86/35.07 (define @t72 () (tptp.tail_of @t37)) % 34.86/35.07 (define @t73 () (= (tptp.tail_of @t44) @t72)) % 34.86/35.07 (define @t74 () (and @t73 @t71)) % 34.86/35.07 (define @t75 () (exists @t48 @t74)) % 34.86/35.07 (define @t76 () (not @t75)) % 34.86/35.07 (define @t77 () (and @t76 @t69)) % 34.86/35.07 (define @t78 () (tptp.shortest_path @t10 @t12 @t28)) % 34.86/35.07 (define @t79 () (and @t78 @t43)) % 34.86/35.07 (define @t80 () (=> @t79 @t77)) % 34.86/35.07 (define @t81 () (@list @t10 @t12 @t37 @t36 @t28)) % 34.86/35.07 (define @t82 () (forall @t81 @t80)) % 34.86/35.07 (define @t83 () (tptp.triangle @t37 @t36 @t44)) % 34.86/35.07 (define @t84 () (tptp.number_of_in tptp.sequential_pairs @t28)) % 34.86/35.07 (define @t85 () (exists @t48 @t83)) % 34.86/35.07 (define @t86 () (and @t52 @t51 @t40)) % 34.86/35.07 (define @t87 () (=> @t86 @t85)) % 34.86/35.07 (define @t88 () (forall @t41 @t87)) % 34.86/35.07 (define @t89 () (@var "Things" $$unsorted)) % 34.86/35.07 (define @t90 () (@var "InThese" $$unsorted)) % 34.86/35.07 (define @t91 () (=> @t78 @t88)) % 34.86/35.07 (define @t92 () (forall @t57 @t91)) % 34.86/35.07 (define @t93 () (=> tptp.complete @t92)) % 34.86/35.07 (define @t94 () (not @t93)) % 34.86/35.07 (define @t95 () (@var "BOUND_VARIABLE_7972" $$unsorted)) % 34.86/35.07 (define @t96 () (@var "BOUND_VARIABLE_7970" $$unsorted)) % 34.86/35.07 (define @t97 () (not (forall @t48 (not (tptp.triangle @t96 @t95 @t44))))) % 34.86/35.07 (define @t98 () (not (tptp.sequential @t96 @t95))) % 34.86/35.07 (define @t99 () (not (tptp.on_path @t95 @t28))) % 34.86/35.07 (define @t100 () (not (tptp.on_path @t96 @t28))) % 34.86/35.07 (define @t101 () (not @t78)) % 34.86/35.07 (define @t102 () (or @t101 @t100 @t99 @t98 @t97)) % 34.86/35.07 (define @t103 () (@list @t28 @t10 @t12 @t96 @t95)) % 34.86/35.07 (define @t104 () (forall @t103 @t102)) % 34.86/35.07 (define @t105 () (@quantifiers_skolemize @t104 4)) % 34.86/35.07 (define @t106 () (@quantifiers_skolemize @t104 3)) % 34.86/35.07 (define @t107 () (or @t100 @t99 @t98 @t97)) % 34.86/35.07 (define @t108 () (or @t101 @t107)) % 34.86/35.07 (define @t109 () (forall @t103 @t108)) % 34.86/35.07 (define @t110 () (@list @t96 @t95)) % 34.86/35.07 (define @t111 () (forall @t110 @t108)) % 34.86/35.07 (define @t112 () (forall @t110 @t107)) % 34.86/35.07 (define @t113 () (or @t101 @t112)) % 34.86/35.07 (define @t114 () (not (forall @t48 (not @t83)))) % 34.86/35.07 (define @t115 () (not @t40)) % 34.86/35.07 (define @t116 () (not @t51)) % 34.86/35.07 (define @t117 () (not @t52)) % 34.86/35.07 (define @t118 () (or @t117 @t116 @t115 @t114)) % 34.86/35.07 (define @t119 () (forall @t41 @t118)) % 34.86/35.07 (define @t120 () (or @t117 @t116 @t115)) % 34.86/35.07 (define @t121 () (=> tptp.complete @t104)) % 34.86/35.07 (define @t122 () (tptp.sequential @t106 @t105)) % 34.86/35.07 (define @t123 () (forall @t48 (not (tptp.triangle @t106 @t105 @t44)))) % 34.86/35.07 (define @t124 () (not @t123)) % 34.86/35.07 (define @t125 () (not @t122)) % 34.86/35.07 (define @t126 () (@quantifiers_skolemize @t104 0)) % 34.86/35.07 (define @t127 () (tptp.on_path @t105 @t126)) % 34.86/35.07 (define @t128 () (not @t127)) % 34.86/35.07 (define @t129 () (tptp.on_path @t106 @t126)) % 34.86/35.07 (define @t130 () (not @t129)) % 34.86/35.07 (define @t131 () (@quantifiers_skolemize @t104 2)) % 34.86/35.07 (define @t132 () (@quantifiers_skolemize @t104 1)) % 34.86/35.07 (define @t133 () (tptp.shortest_path @t132 @t131 @t126)) % 34.86/35.07 (define @t134 () (not @t133)) % 34.86/35.07 (define @t135 () (or @t134 @t130 @t128 @t125 @t124)) % 34.86/35.07 (define @t136 () (@list true)) % 34.86/35.07 (define @t137 () (@list @t135)) % 34.86/35.07 (define @t138 () (tptp.tail_of @t105)) % 34.86/35.07 (define @t139 () (tptp.head_of @t106)) % 34.86/35.07 (define @t140 () (= @t139 @t138)) % 34.86/35.07 (define @t141 () (= @t106 @t105)) % 34.86/35.07 (define @t142 () (not @t141)) % 34.86/35.07 (define @t143 () (tptp.edge @t105)) % 34.86/35.07 (define @t144 () (tptp.edge @t106)) % 34.86/35.07 (define @t145 () (and @t144 @t143 @t142 @t140)) % 34.86/35.07 (define @t146 () (= @t122 @t145)) % 34.86/35.07 (define @t147 () (@list false false)) % 34.86/35.07 (define @t148 () (not @t145)) % 34.86/35.07 (define @t149 () (@list false)) % 34.86/35.07 (define @t150 () (@list @t145)) % 34.86/35.07 (define @t151 () (tptp.head_of @t105)) % 34.86/35.07 (define @t152 () (not (= @t151 @t138))) % 34.86/35.07 (define @t153 () (not @t143)) % 34.86/35.07 (define @t154 () (or @t153 @t152)) % 34.86/35.07 (define @t155 () (not @t5)) % 34.86/35.07 (define @t156 () (forall @t6 (or @t155 @t4))) % 34.86/35.07 (define @t157 () (@list @t105)) % 34.86/35.07 (define @t158 () (= @t138 @t151)) % 34.86/35.07 (define @t159 () (not @t158)) % 34.86/35.07 (define @t160 () (or @t153 @t159)) % 34.86/35.07 (define @t161 () (and (= @t3 @t12) (= @t2 @t10))) % 34.86/35.07 (define @t162 () (and (= @t3 @t10) (= @t2 @t12))) % 34.86/35.07 (define @t163 () (not (forall @t6 (or @t155 (= @t162 @t161))))) % 34.86/35.07 (define @t164 () (not @t21)) % 34.86/35.07 (define @t165 () (not @t22)) % 34.86/35.07 (define @t166 () (or @t165 @t164 @t19 @t163)) % 34.86/35.07 (define @t167 () (forall @t25 @t166)) % 34.86/35.07 (define @t168 () (not @t20)) % 34.86/35.07 (define @t169 () (or @t165 @t164 @t168)) % 34.86/35.07 (define @t170 () (xor @t162 @t161)) % 34.86/35.07 (define @t171 () (and @t5 @t170)) % 34.86/35.07 (define @t172 () (forall @t6 (not @t171))) % 34.86/35.07 (define @t173 () (not @t172)) % 34.86/35.07 (define @t174 () (tptp.tail_of @t106)) % 34.86/35.07 (define @t175 () (not (= @t105 @t106))) % 34.86/35.07 (define @t176 () (and @t143 @t144 @t175 (= @t151 @t174))) % 34.86/35.07 (define @t177 () (tptp.sequential @t105 @t106)) % 34.86/35.07 (define @t178 () (= @t177 @t176)) % 34.86/35.07 (define @t179 () (= @t174 @t151)) % 34.86/35.07 (define @t180 () (and @t143 @t144 @t142 @t179)) % 34.86/35.07 (define @t181 () (= @t177 @t180)) % 34.86/35.07 (define @t182 () (@list @t42)) % 34.86/35.07 (define @t183 () (@var "BOUND_VARIABLE_7830" $$unsorted)) % 34.86/35.07 (define @t184 () (@var "BOUND_VARIABLE_7828" $$unsorted)) % 34.86/35.07 (define @t185 () (tptp.precedes @t184 @t183 @t28)) % 34.86/35.07 (define @t186 () (@var "BOUND_VARIABLE_7832" $$unsorted)) % 34.86/35.07 (define @t187 () (and (not (tptp.sequential @t184 @t183)) (or (not (tptp.sequential @t184 @t186)) (not (tptp.precedes @t186 @t183 @t28))))) % 34.86/35.07 (define @t188 () (not (tptp.on_path @t183 @t28))) % 34.86/35.07 (define @t189 () (not (tptp.on_path @t184 @t28))) % 34.86/35.07 (define @t190 () (not @t29)) % 34.86/35.07 (define @t191 () (or @t189 @t188 @t187 @t185)) % 34.86/35.07 (define @t192 () (or @t190 @t191)) % 34.86/35.07 (define @t193 () (forall (@list @t28 @t10 @t12 @t184 @t183 @t186) @t192)) % 34.86/35.07 (define @t194 () (@list @t184 @t183 @t186)) % 34.86/35.07 (define @t195 () (forall @t194 @t192)) % 34.86/35.07 (define @t196 () (forall @t194 @t191)) % 34.86/35.07 (define @t197 () (@var "BOUND_VARIABLE_7813" $$unsorted)) % 34.86/35.07 (define @t198 () (or @t190 @t196)) % 34.86/35.07 (define @t199 () (or (not (tptp.sequential @t37 @t197)) (not (tptp.precedes @t197 @t36 @t28)))) % 34.86/35.07 (define @t200 () (and @t115 @t199)) % 34.86/35.07 (define @t201 () (or @t117 @t116 @t200 @t43)) % 34.86/35.07 (define @t202 () (forall (@list @t37 @t36 @t197) @t201)) % 34.86/35.07 (define @t203 () (@list @t197)) % 34.86/35.07 (define @t204 () (forall @t203 @t201)) % 34.86/35.07 (define @t205 () (forall @t203 @t199)) % 34.86/35.07 (define @t206 () (@list @t44)) % 34.86/35.07 (define @t207 () (forall @t203 @t115)) % 34.86/35.07 (define @t208 () (and @t207 @t205)) % 34.86/35.07 (define @t209 () (forall @t203 @t200)) % 34.86/35.07 (define @t210 () (or @t117 @t116 @t209 @t43)) % 34.86/35.07 (define @t211 () (forall @t48 (or (not @t46) (not @t45)))) % 34.86/35.07 (define @t212 () (and @t115 @t211)) % 34.86/35.07 (define @t213 () (or @t117 @t116 @t212 @t43)) % 34.86/35.07 (define @t214 () (not @t211)) % 34.86/35.07 (define @t215 () (or @t40 @t214)) % 34.86/35.07 (define @t216 () (not @t215)) % 34.86/35.07 (define @t217 () (or @t117 @t116 @t216)) % 34.86/35.07 (define @t218 () (and @t52 @t51 @t215)) % 34.86/35.07 (define @t219 () (forall @t48 (not @t47))) % 34.86/35.07 (define @t220 () (not @t219)) % 34.86/35.07 (define @t221 () (@var "BOUND_VARIABLE_7920" $$unsorted)) % 34.86/35.07 (define @t222 () (tptp.head_of @t221)) % 34.86/35.07 (define @t223 () (not (= @t222 @t70))) % 34.86/35.07 (define @t224 () (tptp.tail_of @t221)) % 34.86/35.07 (define @t225 () (not (= @t224 @t72))) % 34.86/35.07 (define @t226 () (or @t225 @t223)) % 34.86/35.07 (define @t227 () (and @t226 @t69)) % 34.86/35.07 (define @t228 () (not @t43)) % 34.86/35.07 (define @t229 () (or @t101 @t228 @t227)) % 34.86/35.07 (define @t230 () (forall (@list @t10 @t12 @t37 @t36 @t28 @t221) @t229)) % 34.86/35.07 (define @t231 () (@list @t221)) % 34.86/35.07 (define @t232 () (forall @t231 @t229)) % 34.86/35.07 (define @t233 () (forall @t231 @t69)) % 34.86/35.07 (define @t234 () (forall @t231 @t226)) % 34.86/35.07 (define @t235 () (and @t234 @t233)) % 34.86/35.07 (define @t236 () (forall @t231 @t227)) % 34.86/35.07 (define @t237 () (or @t101 @t228 @t236)) % 34.86/35.07 (define @t238 () (forall @t48 (or (not @t73) (not @t71)))) % 34.86/35.07 (define @t239 () (and @t238 @t69)) % 34.86/35.07 (define @t240 () (or @t101 @t228 @t239)) % 34.86/35.07 (define @t241 () (forall @t48 (not @t74))) % 34.86/35.07 (define @t242 () (not @t241)) % 34.86/35.07 (define @t243 () (@quantifiers_skolemize (forall @t41 (or (not (tptp.on_path @t37 @t126)) (not (tptp.on_path @t36 @t126)) @t115 @t114)) 0)) % 34.86/35.07 (define @t244 () (and @t125 (or (not (tptp.sequential @t106 @t126)) (not (tptp.precedes @t126 @t105 @t126))))) % 34.86/35.07 (define @t245 () (not @t244)) % 34.86/35.07 (define @t246 () (tptp.path @t132 @t131 @t126)) % 34.86/35.07 (define @t247 () (and @t246 (not (= @t132 @t131)) (forall @t62 (or (not (tptp.path @t132 @t131 @t28)) (tptp.less_or_equal (tptp.length_of @t126) @t59))))) % 34.86/35.07 (define @t248 () (= @t133 @t247)) % 34.86/35.07 (define @t249 () (tptp.precedes @t106 @t105 @t126)) % 34.86/35.07 (define @t250 () (not @t246)) % 34.86/35.07 (define @t251 () (or @t250 @t130 @t128 @t244 @t249)) % 34.86/35.07 (define @t252 () (@list false false false true false)) % 34.86/35.07 (define @t253 () (tptp.precedes @t105 @t106 @t126)) % 34.86/35.07 (define @t254 () (not @t253)) % 34.86/35.07 (define @t255 () (and (or (not (= @t174 (tptp.tail_of @t243))) (not (= @t151 (tptp.head_of @t243)))) @t254)) % 34.86/35.07 (define @t256 () (not @t249)) % 34.86/35.07 (define @t257 () (or @t134 @t256 @t255)) % 34.86/35.07 (define @t258 () (@list false false false)) % 34.86/35.07 (define @t259 () (not @t177)) % 34.86/35.07 (define @t260 () (and @t259 (or (not (tptp.sequential @t105 @t105)) @t254))) % 34.86/35.07 (define @t261 () (or @t250 @t128 @t130 @t260 @t253)) % 34.86/35.07 (define @t262 () (not @t180)) % 34.86/35.07 (define @t263 () (@list true false)) % 34.86/35.07 (define @t264 () (not @t179)) % 34.86/35.07 (define @t265 () (not @t144)) % 34.86/35.07 (define @t266 () (tptp.vertex @t151)) % 34.86/35.07 (define @t267 () (and @t266 (tptp.vertex @t138))) % 34.86/35.07 (define @t268 () (or @t153 @t267)) % 34.86/35.07 (define @t269 () (tptp.vertex @t174)) % 34.86/35.07 (define @t270 () (and (tptp.vertex @t139) @t269)) % 34.86/35.07 (define @t271 () (or @t265 @t270)) % 34.86/35.07 (define @t272 () (forall @t6 (or @t155 (= (and (= @t3 @t174) (= @t2 @t151)) (and (= @t3 @t151) (= @t2 @t174)))))) % 34.86/35.07 (define @t273 () (not @t272)) % 34.86/35.07 (define @t274 () (not @t266)) % 34.86/35.07 (define @t275 () (not @t269)) % 34.86/35.07 (define @t276 () (or @t275 @t274 @t179 @t273)) % 34.86/35.07 (define @t277 () (@list false false true false)) % 34.86/35.07 (define @t278 () (@quantifiers_skolemize @t272 0)) % 34.86/35.07 (define @t279 () (tptp.tail_of @t278)) % 34.86/35.07 (define @t280 () (= @t174 @t279)) % 34.86/35.07 (define @t281 () (tptp.head_of @t278)) % 34.86/35.07 (define @t282 () (= @t151 @t281)) % 34.86/35.07 (define @t283 () (and @t282 @t280)) % 34.86/35.07 (define @t284 () (= @t151 @t279)) % 34.86/35.07 (define @t285 () (= @t174 @t281)) % 34.86/35.07 (define @t286 () (and @t285 @t284)) % 34.86/35.07 (define @t287 () (= @t286 @t283)) % 34.86/35.07 (define @t288 () (tptp.edge @t278)) % 34.86/35.07 (define @t289 () (not @t288)) % 34.86/35.07 (define @t290 () (or @t289 @t287)) % 34.86/35.07 (define @t291 () (not @t290)) % 34.86/35.07 (define @t292 () (and (= @t281 @t151) (= @t279 @t174))) % 34.86/35.07 (define @t293 () (= @t281 @t174)) % 34.86/35.07 (define @t294 () (and @t293 (= @t279 @t151))) % 34.86/35.07 (define @t295 () (= @t294 @t292)) % 34.86/35.07 (define @t296 () (or @t289 @t295)) % 34.86/35.07 (define @t297 () (not @t296)) % 34.86/35.07 (define @t298 () (@list @t290)) % 34.86/35.07 (define @t299 () (not @t283)) % 34.86/35.07 (define @t300 () (not @t282)) % 34.86/35.07 (define @t301 () (not @t280)) % 34.86/35.07 (define @t302 () (or @t301 @t300)) % 34.86/35.07 (define @t303 () (and @t302 @t254)) % 34.86/35.07 (define @t304 () (or @t134 @t256 @t303)) % 34.86/35.07 (define @t305 () (not @t286)) % 34.86/35.07 (define @t306 () (@list @t286)) % 34.86/35.07 (define @t307 () (tptp.sequential @t278 @t106)) % 34.86/35.07 (define @t308 () (tptp.sequential @t105 @t278)) % 34.86/35.07 (define @t309 () (and @t144 @t143 @t288 @t122 @t308 @t307)) % 34.86/35.07 (define @t310 () (tptp.triangle @t106 @t105 @t278)) % 34.86/35.07 (define @t311 () (= @t310 @t309)) % 34.86/35.07 (define @t312 () (not @t309)) % 34.86/35.07 (define @t313 () (not @t308)) % 34.86/35.07 (define @t314 () (not (= @t278 @t106))) % 34.86/35.07 (define @t315 () (and @t288 @t144 @t314 @t293)) % 34.86/35.07 (define @t316 () (= @t307 @t315)) % 34.86/35.07 (define @t317 () (= @t106 @t278)) % 34.86/35.07 (define @t318 () (not @t317)) % 34.86/35.07 (define @t319 () (and @t288 @t144 @t318 @t285)) % 34.86/35.07 (define @t320 () (= @t307 @t319)) % 34.86/35.07 (define @t321 () (not @t285)) % 34.86/35.07 (define @t322 () (= @t105 @t278)) % 34.86/35.07 (define @t323 () (not @t322)) % 34.86/35.07 (define @t324 () (and @t143 @t288 @t323 @t284)) % 34.86/35.07 (define @t325 () (= @t308 @t324)) % 34.86/35.07 (define @t326 () (not @t324)) % 34.86/35.07 (define @t327 () (not @t284)) % 34.86/35.07 (define @t328 () (not @t140)) % 34.86/35.07 (define @t329 () (= @t139 @t279)) % 34.86/35.07 (define @t330 () (and @t140 @t329 @t284 @t159)) % 34.86/35.07 (assume @p1 @t7) % 34.86/35.07 (assume @p2 @t9) % 34.86/35.07 (assume @p3 @t27) % 34.86/35.07 (assume @p4 (forall @t33 (=> (and @t22 @t21 (exists @t6 (and @t5 @t11 (or @t32 @t31)))) @t29))) % 34.86/35.07 (assume @p5 (forall @t33 (=> @t29 (and @t22 @t21 (exists @t6 (and @t5 @t11 (xor @t32 @t31))))))) % 34.86/35.07 (assume @p6 (forall (@list @t10 @t12 @t28 @t1) (=> (and @t29 @t34) (and @t5 (tptp.in_path @t3 @t28) (tptp.in_path @t2 @t28))))) % 34.86/35.07 (assume @p7 (forall (@list @t10 @t12 @t28 @t35) (=> (and @t29 (tptp.in_path @t35 @t28)) (and (tptp.vertex @t35) (exists @t6 (and @t34 (or (= @t35 @t3) (= @t35 @t2)))))))) % 34.86/35.07 (assume @p8 @t42) % 34.86/35.07 (assume @p9 @t58) % 34.86/35.07 (assume @p10 (forall @t57 (=> @t29 (forall @t41 (=> @t43 (and @t52 @t51 (xor @t40 @t49))))))) % 34.86/35.07 (assume @p11 @t68) % 34.86/35.07 (assume @p12 @t82) % 34.86/35.07 (assume @p13 (forall (@list @t37 @t36 @t44) (= @t83 (and @t39 @t38 (tptp.edge @t44) @t40 (tptp.sequential @t36 @t44) (tptp.sequential @t44 @t37))))) % 34.86/35.07 (assume @p14 (forall @t33 (=> @t29 (= @t59 (tptp.number_of_in tptp.edges @t28))))) % 34.86/35.07 (assume @p15 (forall @t33 (=> @t29 (= @t84 (tptp.minus @t59 tptp.n1))))) % 34.86/35.07 (assume @p16 (forall @t57 (=> (and @t29 @t88) (= @t84 (tptp.number_of_in tptp.triangles @t28))))) % 34.86/35.07 (assume @p17 (forall (@list @t89 @t90) (tptp.less_or_equal (tptp.number_of_in @t89 @t90) (tptp.number_of_in @t89 tptp.graph)))) % 34.86/35.07 (assume @p18 @t94) % 34.86/35.07 (assume @p19 true) % 34.86/35.07 (step @p20 :rule instantiate :premises (@p8) :args ((@list @t106 @t105))) % 34.86/35.07 (step @p21 :rule bool-impl-true2 :args (@t104)) % 34.86/35.07 (step @p22 :rule cong :premises (@p21) :args ((not (=> true @t104)))) % 34.86/35.07 (step @p23 :rule refl :args (@t104)) % 34.86/35.07 (step @p24 :rule bool-eq-true :args (tptp.complete)) % 34.86/35.07 (step @p25 :rule symm :premises (@p24)) % 34.86/35.07 (step @p26 :rule aci_norm :args ((= @t108 @t102))) % 34.86/35.07 (step @p27 :rule cong :premises (@p26) :args (@t109)) % 34.86/35.07 (step @p28 :rule quant-merge-prenex :args ((= (forall @t57 @t111) @t109))) % 34.86/35.07 (step @p29 :rule alpha_equiv :args (@t112 (@list @t96 @t95) (@list @t37 @t36))) % 34.86/35.07 (step @p30 :rule refl :args (@t101)) % 34.86/35.07 (step @p31 :rule nary_cong :premises (@p30 @p29) :args (@t113)) % 34.86/35.07 (step @p32 :rule quant-miniscope-or :args ((= @t111 @t113))) % 34.86/35.07 (step @p33 :rule trans :premises (@p32 @p31)) % 34.86/35.07 (step @p34 :rule symm :premises (@p33)) % 34.86/35.07 (step @p35 :rule cong :premises (@p34) :args ((forall @t57 (or @t101 @t119)))) % 34.86/35.07 (step @p36 :rule trans :premises (@p35 @p28)) % 34.86/35.07 (step @p37 :rule trans :premises (@p36 @p27)) % 34.86/35.07 (step @p38 :rule bool-impl-elim :args (@t78 @t119)) % 34.86/35.07 (step @p39 :rule cong :premises (@p38) :args ((forall @t57 (=> @t78 @t119)))) % 34.86/35.07 (step @p40 :rule trans :premises (@p39 @p37)) % 34.86/35.07 (step @p41 :rule aci_norm :args ((= (or @t120 @t114) @t118))) % 34.86/35.07 (step @p42 :rule refl :args (@t114)) % 34.86/35.07 (step @p43 :rule aci_norm :args ((= (or @t117 (or @t116 @t115)) @t120))) % 34.86/35.07 (step @p44 :rule bool-and-de-morgan :args (@t51 @t40 true)) % 34.86/35.07 (step @p45 :rule refl :args (@t117)) % 34.86/35.07 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t117 (not (and @t51 @t40))))) % 34.86/35.07 (step @p47 :rule bool-and-de-morgan :args (@t52 @t51 (and @t40))) % 34.86/35.07 (step @p48 :rule trans :premises (@p47 @p46)) % 34.86/35.07 (step @p49 :rule trans :premises (@p48 @p43)) % 34.86/35.07 (step @p50 :rule nary_cong :premises (@p49 @p42) :args ((or (not @t86) @t114))) % 34.86/35.07 (step @p51 :rule trans :premises (@p50 @p41)) % 34.86/35.07 (step @p52 :rule bool-impl-elim :args (@t86 @t114)) % 34.86/35.07 (step @p53 :rule trans :premises (@p52 @p51)) % 34.86/35.07 (step @p54 :rule cong :premises (@p53) :args ((forall @t41 (=> @t86 @t114)))) % 34.86/35.07 (step @p55 :rule exists-elim :args ((= @t85 @t114))) % 34.86/35.07 (step @p56 :rule refl :args (@t86)) % 34.86/35.07 (step @p57 :rule cong :premises (@p56 @p55) :args (@t87)) % 34.86/35.07 (step @p58 :rule cong :premises (@p57) :args (@t88)) % 34.86/35.07 (step @p59 :rule trans :premises (@p58 @p54)) % 34.86/35.07 (step @p60 :rule refl :args (@t78)) % 34.86/35.07 (step @p61 :rule cong :premises (@p60 @p59) :args (@t91)) % 34.86/35.07 (step @p62 :rule cong :premises (@p61) :args (@t92)) % 34.86/35.07 (step @p63 :rule trans :premises (@p62 @p40)) % 34.86/35.07 (step @p64 :rule refl :args (tptp.complete)) % 34.86/35.07 (step @p65 :rule cong :premises (@p64 @p63) :args (@t93)) % 34.86/35.07 (step @p66 :rule cong :premises (@p65) :args (@t94)) % 34.86/35.07 (step @p67 :rule eq_resolve :premises (@p18 @p66)) % 34.86/35.07 (step @p68 :rule not_implies_elim1 :premises (@p67)) % 34.86/35.07 (step @p69 :rule eq_resolve :premises (@p68 @p25)) % 34.86/35.07 (step @p70 :rule cong :premises (@p69 @p23) :args (@t121)) % 34.86/35.07 (step @p71 :rule cong :premises (@p70) :args ((not @t121))) % 34.86/35.07 (step @p72 :rule trans :premises (@p71 @p22)) % 34.86/35.07 (step @p73 :rule trans :premises (@p66 @p72)) % 34.86/35.07 (step @p74 :rule eq_resolve :premises (@p18 @p73)) % 34.86/35.07 (step @p75 :rule skolemize :premises (@p74)) % 34.86/35.07 (step @p76 :rule bool-double-not-elim :args (@t122)) % 34.86/35.07 (step @p77 :rule refl :args (@t135)) % 34.86/35.07 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or @t135 (not @t125)))) % 34.86/35.07 (step @p79 :rule cnf_or_neg :args (@t135 3)) % 34.86/35.07 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 34.86/35.07 (step @p81 :rule reordering :premises (@p80) :args ((or @t122 @t135))) % 34.86/35.07 (step @p82 :rule chain_m_resolution :premises (@p81 @p75) :args (@t122 @t136 @t137)) % 34.86/35.07 (step @p83 :rule cnf_equiv_pos1 :args (@t146)) % 34.86/35.07 (step @p84 :rule reordering :premises (@p83) :args ((or @t125 @t145 (not @t146)))) % 34.86/35.07 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p20) :args (@t145 @t147 (@list @t122 @t146))) % 34.86/35.07 (step @p86 :rule cnf_and_pos :args (@t145 3)) % 34.86/35.07 (step @p87 :rule reordering :premises (@p86) :args ((or @t140 @t148))) % 34.86/35.07 (step @p88 :rule chain_m_resolution :premises (@p87 @p85) :args (@t140 @t149 @t150)) % 34.86/35.07 (step @p89 :rule bool-impl-elim :args (@t5 @t4)) % 34.86/35.07 (step @p90 :rule cong :premises (@p89) :args (@t7)) % 34.86/35.07 (step @p91 :rule eq_resolve :premises (@p1 @p90)) % 34.86/35.07 (step @p92 :rule eq-symm :args (@t151 @t138)) % 34.86/35.07 (step @p93 :rule cong :premises (@p92) :args (@t152)) % 34.86/35.07 (step @p94 :rule refl :args (@t153)) % 34.86/35.07 (step @p95 :rule nary_cong :premises (@p94 @p93) :args (@t154)) % 34.86/35.07 (step @p96 :rule refl :args (@t156)) % 34.86/35.07 (step @p97 :rule cong :premises (@p96 @p95) :args ((=> @t156 @t154))) % 34.86/35.07 (assume-push @p560 @t156) % 34.86/35.07 (step @p99 :rule instantiate :premises (@p91) :args (@t157)) % 34.86/35.07 (step-pop @p561 :rule scope :premises (@p99)) % 34.86/35.07 (step @p100 :rule process_scope :premises (@p561) :args (@t154)) % 34.86/35.07 (step @p102 :rule eq_resolve :premises (@p100 @p97)) % 34.86/35.07 (step @p103 :rule implies_elim :premises (@p102)) % 34.86/35.07 (step @p104 :rule chain_m_resolution :premises (@p103 @p91) :args (@t160 @t149 (@list @t156))) % 34.86/35.07 (step @p105 :rule cnf_and_pos :args (@t145 1)) % 34.86/35.07 (step @p106 :rule reordering :premises (@p105) :args ((or @t143 @t148))) % 34.86/35.07 (step @p107 :rule chain_m_resolution :premises (@p106 @p85) :args (@t143 @t149 @t150)) % 34.86/35.07 (step @p108 :rule cnf_or_pos :args (@t160)) % 34.86/35.07 (step @p109 :rule reordering :premises (@p108) :args ((or @t153 @t159 (not @t160)))) % 34.86/35.07 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p104) :args (@t159 @t147 (@list @t143 @t160))) % 34.86/35.07 (step @p111 :rule bool-impl-true2 :args (@t167)) % 34.86/35.07 (step @p112 :rule refl :args (@t167)) % 34.86/35.07 (step @p113 :rule cong :premises (@p69 @p112) :args ((=> tptp.complete @t167))) % 34.86/35.07 (step @p114 :rule trans :premises (@p113 @p111)) % 34.86/35.07 (step @p115 :rule aci_norm :args ((= (or (or @t165 @t164 @t19) @t163) @t166))) % 34.86/35.07 (step @p116 :rule refl :args (@t163)) % 34.86/35.07 (step @p117 :rule bool-double-not-elim :args (@t19)) % 34.86/35.07 (step @p118 :rule refl :args (@t164)) % 34.86/35.07 (step @p119 :rule refl :args (@t165)) % 34.86/35.07 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117) :args (@t169)) % 34.86/35.07 (step @p121 :rule aci_norm :args ((= (or @t165 (or @t164 @t168)) @t169))) % 34.86/35.07 (step @p122 :rule trans :premises (@p121 @p120)) % 34.86/35.07 (step @p123 :rule bool-and-de-morgan :args (@t21 @t20 true)) % 34.86/35.07 (step @p124 :rule nary_cong :premises (@p119 @p123) :args ((or @t165 (not (and @t21 @t20))))) % 34.86/35.07 (step @p125 :rule bool-and-de-morgan :args (@t22 @t21 (and @t20))) % 34.86/35.07 (step @p126 :rule trans :premises (@p125 @p124)) % 34.86/35.07 (step @p127 :rule trans :premises (@p126 @p122)) % 34.86/35.07 (step @p128 :rule nary_cong :premises (@p127 @p116) :args ((or (not @t23) @t163))) % 34.86/35.07 (step @p129 :rule trans :premises (@p128 @p115)) % 34.86/35.07 (step @p130 :rule bool-impl-elim :args (@t23 @t163)) % 34.86/35.07 (step @p131 :rule trans :premises (@p130 @p129)) % 34.86/35.07 (step @p132 :rule cong :premises (@p131) :args ((forall @t25 (=> @t23 @t163)))) % 34.86/35.07 (step @p133 :rule bool-not-xor-elim :args (@t162 @t161)) % 34.86/35.07 (step @p134 :rule refl :args (@t155)) % 34.86/35.07 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t155 (not @t170)))) % 34.86/35.07 (step @p136 :rule bool-and-de-morgan :args (@t5 @t170 true)) % 34.86/35.07 (step @p137 :rule trans :premises (@p136 @p135)) % 34.86/35.07 (step @p138 :rule cong :premises (@p137) :args (@t172)) % 34.86/35.07 (step @p139 :rule cong :premises (@p138) :args (@t173)) % 34.86/35.07 (step @p140 :rule exists-elim :args ((= (exists @t6 @t171) @t173))) % 34.86/35.07 (step @p141 :rule trans :premises (@p140 @p139)) % 34.86/35.07 (step @p142 :rule eq-symm :args (@t10 @t2)) % 34.86/35.07 (step @p143 :rule eq-symm :args (@t12 @t3)) % 34.86/35.07 (step @p144 :rule nary_cong :premises (@p143 @p142) :args (@t14)) % 34.86/35.07 (step @p145 :rule eq-symm :args (@t12 @t2)) % 34.86/35.07 (step @p146 :rule eq-symm :args (@t10 @t3)) % 34.86/35.07 (step @p147 :rule nary_cong :premises (@p146 @p145) :args (@t15)) % 34.86/35.07 (step @p148 :rule cong :premises (@p147 @p144) :args (@t16)) % 34.86/35.07 (step @p149 :rule refl :args (@t5)) % 34.86/35.07 (step @p150 :rule nary_cong :premises (@p149 @p148) :args (@t17)) % 34.86/35.07 (step @p151 :rule cong :premises (@p150) :args (@t18)) % 34.86/35.07 (step @p152 :rule trans :premises (@p151 @p141)) % 34.86/35.07 (step @p153 :rule refl :args (@t23)) % 34.86/35.07 (step @p154 :rule cong :premises (@p153 @p152) :args (@t24)) % 34.86/35.07 (step @p155 :rule cong :premises (@p154) :args (@t26)) % 34.86/35.07 (step @p156 :rule trans :premises (@p155 @p132)) % 34.86/35.07 (step @p157 :rule cong :premises (@p64 @p156) :args (@t27)) % 34.86/35.07 (step @p158 :rule trans :premises (@p157 @p114)) % 34.86/35.07 (step @p159 :rule eq_resolve :premises (@p3 @p158)) % 34.86/35.07 (step @p160 :rule instantiate :premises (@p159) :args ((@list @t174 @t151))) % 34.86/35.07 (step @p161 :rule eq-symm :args (@t151 @t174)) % 34.86/35.07 (step @p162 :rule eq-symm :args (@t105 @t106)) % 34.86/35.07 (step @p163 :rule cong 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34.86/35.07 (step @p327 :rule chain_m_resolution :premises (@p326 @p75) :args (@t127 @t136 @t137)) % 34.86/35.07 (step @p328 :rule bool-double-not-elim :args (@t129)) % 34.86/35.07 (step @p329 :rule nary_cong :premises (@p77 @p328) :args ((or @t135 (not @t130)))) % 34.86/35.07 (step @p330 :rule cnf_or_neg :args (@t135 1)) % 34.86/35.07 (step @p331 :rule eq_resolve :premises (@p330 @p329)) % 34.86/35.07 (step @p332 :rule reordering :premises (@p331) :args ((or @t129 @t135))) % 34.86/35.07 (step @p333 :rule chain_m_resolution :premises (@p332 @p75) :args (@t129 @t136 @t137)) % 34.86/35.07 (step @p334 :rule cnf_or_pos :args (@t251)) % 34.86/35.07 (step @p335 :rule reordering :premises (@p334) :args ((or @t130 @t128 @t250 @t249 @t244 (not @t251)))) % 34.86/35.07 (step @p336 :rule chain_m_resolution :premises (@p335 @p333 @p327 @p321 @p299 @p296) :args (@t249 @t252 (@list @t129 @t127 @t246 @t244 @t251))) % 34.86/35.07 (step @p337 :rule cnf_or_pos :args (@t257)) % 34.86/35.07 (step @p338 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chain_m_resolution :premises (@p347 @p345) :args (@t259 @t149 (@list @t260))) % 34.86/35.07 (step @p349 :rule cnf_equiv_pos2 :args (@t181)) % 34.86/35.07 (step @p350 :rule reordering :premises (@p349) :args ((or @t177 @t262 (not @t181)))) % 34.86/35.07 (step @p351 :rule chain_m_resolution :premises (@p350 @p348 @p177) :args (@t262 @t263 (@list @t177 @t181))) % 34.86/35.07 (step @p352 :rule cnf_and_pos :args (@t145 0)) % 34.86/35.07 (step @p353 :rule reordering :premises (@p352) :args ((or @t144 @t148))) % 34.86/35.07 (step @p354 :rule chain_m_resolution :premises (@p353 @p85) :args (@t144 @t149 @t150)) % 34.86/35.07 (step @p355 :rule cnf_and_pos :args (@t145 2)) % 34.86/35.07 (step @p356 :rule reordering :premises (@p355) :args ((or @t142 @t148))) % 34.86/35.07 (step @p357 :rule chain_m_resolution :premises (@p356 @p85) :args (@t142 @t149 @t150)) % 34.86/35.07 (step @p358 :rule refl :args (@t264)) % 34.86/35.07 (step @p359 :rule bool-double-not-elim :args (@t141)) % 34.86/35.07 (step @p360 :rule refl :args (@t265)) % 34.86/35.07 (step @p361 :rule refl :args (@t180)) % 34.86/35.07 (step @p362 :rule nary_cong :premises (@p361 @p94 @p360 @p359 @p358) :args ((or @t180 @t153 @t265 (not @t142) @t264))) % 34.86/35.07 (step @p363 :rule cnf_and_neg :args (@t180)) % 34.86/35.07 (step @p364 :rule eq_resolve :premises (@p363 @p362)) % 34.86/35.07 (step @p365 :rule reordering :premises (@p364) :args ((or @t141 @t265 @t153 @t180 @t264))) % 34.86/35.07 (step @p366 :rule chain_m_resolution :premises (@p365 @p357 @p354 @p107 @p351) :args (@t264 (@list true false false true) (@list @t141 @t144 @t143 @t180))) % 34.86/35.07 (step @p367 :rule bool-impl-elim :args (@t5 @t8)) % 34.86/35.07 (step @p368 :rule cong :premises (@p367) :args (@t9)) % 34.86/35.07 (step @p369 :rule eq_resolve :premises (@p2 @p368)) % 34.86/35.07 (step @p370 :rule instantiate :premises (@p369) :args (@t157)) % 34.86/35.07 (step @p371 :rule cnf_or_pos :args (@t268)) % 34.86/35.07 (step @p372 :rule reordering :premises (@p371) :args ((or @t153 @t267 (not @t268)))) % 34.86/35.07 (step @p373 :rule chain_m_resolution :premises (@p372 @p107 @p370) :args (@t267 @t147 (@list @t143 @t268))) % 34.86/35.07 (step @p374 :rule cnf_and_pos :args (@t267 0)) % 34.86/35.07 (step @p375 :rule reordering :premises (@p374) :args ((or @t266 (not @t267)))) % 34.86/35.07 (step @p376 :rule chain_m_resolution :premises (@p375 @p373) :args (@t266 @t149 (@list @t267))) % 34.86/35.07 (step @p377 :rule instantiate :premises (@p369) :args ((@list @t106))) % 34.86/35.07 (step @p378 :rule cnf_or_pos :args (@t271)) % 34.86/35.07 (step @p379 :rule reordering :premises (@p378) :args ((or @t265 @t270 (not @t271)))) % 34.86/35.07 (step @p380 :rule chain_m_resolution :premises (@p379 @p354 @p377) :args (@t270 @t147 (@list @t144 @t271))) % 34.86/35.07 (step @p381 :rule cnf_and_pos :args (@t270 1)) % 34.86/35.07 (step @p382 :rule reordering :premises (@p381) :args ((or @t269 (not @t270)))) % 34.86/35.07 (step @p383 :rule chain_m_resolution :premises (@p382 @p380) :args (@t269 @t149 (@list @t270))) % 34.86/35.07 (step @p384 :rule cnf_or_pos :args (@t276)) % 34.86/35.07 (step @p385 :rule reordering :premises (@p384) :args ((or @t275 @t274 @t179 @t273 (not @t276)))) % 34.86/35.07 (step @p386 :rule chain_m_resolution :premises (@p385 @p383 @p376 @p366 @p160) :args (@t273 @t277 (@list @t269 @t266 @t179 @t276))) % 34.86/35.07 (step @p387 :rule refl :args (@t291)) % 34.86/35.07 (step @p388 :rule bool-double-not-elim :args (@t272)) % 34.86/35.07 (step @p389 :rule nary_cong :premises (@p388 @p387) :args ((or (not @t273) @t291))) % 34.86/35.07 (step @p390 :rule eq-symm :args (@t279 @t174)) % 34.86/35.07 (step @p391 :rule eq-symm :args (@t281 @t151)) % 34.86/35.07 (step @p392 :rule nary_cong :premises (@p391 @p390) :args (@t292)) % 34.86/35.07 (step @p393 :rule eq-symm :args (@t279 @t151)) % 34.86/35.07 (step @p394 :rule eq-symm :args (@t281 @t174)) % 34.86/35.07 (step @p395 :rule nary_cong :premises (@p394 @p393) :args (@t294)) % 34.86/35.07 (step @p396 :rule cong :premises (@p395 @p392) :args (@t295)) % 34.86/35.07 (step @p397 :rule refl :args (@t289)) % 34.86/35.07 (step @p398 :rule nary_cong :premises (@p397 @p396) :args (@t296)) % 34.86/35.07 (step @p399 :rule cong :premises (@p398) :args (@t297)) % 34.86/35.07 (step @p400 :rule refl :args (@t273)) % 34.86/35.07 (step @p401 :rule cong :premises (@p400 @p399) :args ((=> @t273 @t297))) % 34.86/35.07 (assume-push @p564 @t273) % 34.86/35.07 (step @p403 :rule skolemize :premises (@p386)) % 34.86/35.07 (step-pop @p565 :rule scope :premises (@p403)) % 34.86/35.07 (step @p404 :rule process_scope :premises (@p565) :args (@t297)) % 34.86/35.07 (step @p406 :rule eq_resolve :premises (@p404 @p401)) % 34.86/35.07 (step @p407 :rule implies_elim :premises (@p406)) % 34.86/35.07 (step @p408 :rule eq_resolve :premises (@p407 @p389)) % 34.86/35.07 (step @p409 :rule chain_m_resolution :premises (@p408 @p386) :args (@t291 @t136 (@list @t272))) % 34.86/35.07 (step @p410 :rule cnf_or_neg :args (@t290 1)) % 34.86/35.07 (step @p411 :rule chain_m_resolution :premises (@p410 @p409) :args ((not @t287) @t136 @t298)) % 34.86/35.07 (step @p412 :rule cnf_and_pos :args (@t283 0)) % 34.86/35.07 (step @p413 :rule reordering :premises (@p412) :args ((or @t282 @t299))) % 34.86/35.07 (step @p414 :rule cnf_and_pos :args (@t283 1)) % 34.86/35.07 (step @p415 :rule reordering :premises (@p414) :args ((or @t280 @t299))) % 34.86/35.07 (step @p416 :rule instantiate :premises (@p294) :args ((@list @t132 @t131 @t106 @t105 @t126 @t278))) % 34.86/35.07 (step @p417 :rule cnf_or_pos :args (@t304)) % 34.86/35.07 (step @p418 :rule reordering :premises (@p417) :args ((or @t134 @t256 @t303 (not @t304)))) % 34.86/35.07 (step @p419 :rule chain_m_resolution :premises (@p418 @p315 @p336 @p416) :args (@t303 @t258 (@list @t133 @t249 @t304))) % 34.86/35.07 (step @p420 :rule cnf_and_pos :args (@t303 0)) % 34.86/35.07 (step @p421 :rule reordering :premises (@p420) :args ((or @t302 (not @t303)))) % 34.86/35.07 (step @p422 :rule chain_m_resolution :premises (@p421 @p419) :args (@t302 @t149 (@list @t303))) % 34.86/35.07 (step @p423 :rule cnf_or_pos :args (@t302)) % 34.86/35.07 (step @p424 :rule reordering :premises (@p423) :args ((or @t300 @t301 (not @t302)))) % 34.86/35.07 (step @p425 :rule chain_m_resolution :premises (@p424 @p422 @p415 @p413) :args (@t299 @t258 (@list @t302 @t280 @t282))) % 34.86/35.07 (step @p426 :rule cnf_equiv_neg1 :args (@t287)) % 34.86/35.07 (step @p427 :rule reordering :premises (@p426) :args ((or @t286 @t283 @t287))) % 34.86/35.07 (step @p428 :rule chain_m_resolution :premises (@p427 @p425 @p411) :args (@t286 (@list true true) (@list @t283 @t287))) % 34.86/35.07 (step @p429 :rule cnf_and_pos :args (@t286 1)) % 34.86/35.07 (step @p430 :rule reordering :premises (@p429) :args ((or @t284 @t305))) % 34.86/35.07 (step @p431 :rule chain_m_resolution :premises (@p430 @p428) :args (@t284 @t149 @t306)) % 34.86/35.07 (step @p432 :rule instantiate :premises (@p8) :args ((@list @t105 @t278))) % 34.86/35.07 (step @p433 :rule cnf_and_pos :args (@t286 0)) % 34.86/35.07 (step @p434 :rule reordering :premises (@p433) :args ((or @t285 @t305))) % 34.86/35.07 (step @p435 :rule chain_m_resolution :premises (@p434 @p428) :args (@t285 @t149 @t306)) % 34.86/35.07 (step @p436 :rule bool-double-not-elim :args (@t288)) % 34.86/35.07 (step @p437 :rule refl :args (@t290)) % 34.86/35.07 (step @p438 :rule nary_cong :premises (@p437 @p436) :args ((or @t290 (not @t289)))) % 34.86/35.07 (step @p439 :rule cnf_or_neg :args (@t290 0)) % 34.86/35.07 (step @p440 :rule eq_resolve :premises (@p439 @p438)) % 34.86/35.07 (step @p441 :rule reordering :premises (@p440) :args ((or @t288 @t290))) % 34.86/35.07 (step @p442 :rule chain_m_resolution :premises (@p441 @p409) :args (@t288 @t136 @t298)) % 34.86/35.07 (step @p443 :rule instantiate :premises (@p13) :args ((@list @t106 @t105 @t278))) % 34.86/35.07 (step @p444 :rule bool-double-not-elim :args (@t123)) % 34.86/35.07 (step @p445 :rule nary_cong :premises (@p77 @p444) :args ((or @t135 (not @t124)))) % 34.86/35.07 (step @p446 :rule cnf_or_neg :args (@t135 4)) % 34.86/35.07 (step @p447 :rule eq_resolve :premises (@p446 @p445)) % 34.86/35.07 (step @p448 :rule reordering :premises (@p447) :args ((or @t123 @t135))) % 34.86/35.07 (step @p449 :rule chain_m_resolution :premises (@p448 @p75) :args (@t123 @t136 @t137)) % 34.86/35.07 (step @p450 :rule instantiate :premises (@p449) :args ((@list @t278))) % 34.86/35.07 (step @p451 :rule cnf_equiv_pos2 :args (@t311)) % 34.86/35.07 (step @p452 :rule reordering :premises (@p451) :args ((or @t310 @t312 (not @t311)))) % 34.86/35.07 (step @p453 :rule chain_m_resolution :premises (@p452 @p450 @p443) :args (@t312 @t263 (@list @t310 @t311))) % 34.86/35.07 (step @p454 :rule cnf_and_neg :args (@t309)) % 34.86/35.07 (step @p455 :rule reordering :premises (@p454) :args ((or @t125 @t265 @t153 @t289 (not @t307) @t313 @t309))) % 34.86/35.07 (step @p456 :rule eq-symm :args (@t278 @t106)) % 34.86/35.07 (step @p457 :rule cong :premises (@p456) :args (@t314)) % 34.86/35.07 (step @p458 :rule refl :args (@t288)) % 34.86/35.07 (step @p459 :rule nary_cong :premises (@p458 @p164 @p457 @p394) :args (@t315)) % 34.86/35.07 (step @p460 :rule refl :args (@t307)) % 34.86/35.07 (step @p461 :rule cong :premises (@p460 @p459) :args (@t316)) % 34.86/35.07 (step @p462 :rule cong :premises (@p169 @p461) :args ((=> @t42 @t316))) % 34.86/35.07 (assume-push @p566 @t42) % 34.86/35.07 (step @p464 :rule instantiate :premises (@p8) :args ((@list @t278 @t106))) % 34.86/35.07 (step-pop @p567 :rule scope :premises (@p464)) % 34.86/35.07 (step @p465 :rule process_scope :premises (@p567) :args (@t316)) % 34.86/35.07 (step @p467 :rule eq_resolve :premises (@p465 @p462)) % 34.86/35.07 (step @p468 :rule implies_elim :premises (@p467)) % 34.86/35.07 (step @p469 :rule chain_m_resolution :premises (@p468 @p8) :args (@t320 @t149 @t182)) % 34.86/35.07 (step @p470 :rule cnf_equiv_pos2 :args (@t320)) % 34.86/35.07 (step @p471 :rule reordering :premises (@p470) :args ((or @t307 (not @t319) (not @t320)))) % 34.86/35.07 (step @p472 :rule refl :args (@t321)) % 34.86/35.07 (step @p473 :rule bool-double-not-elim :args (@t317)) % 34.86/35.07 (step @p474 :rule refl :args (@t319)) % 34.86/35.07 (step @p475 :rule nary_cong :premises (@p474 @p397 @p360 @p473 @p472) :args ((or @t319 @t289 @t265 (not @t318) @t321))) % 34.86/35.07 (step @p476 :rule cnf_and_neg :args (@t319)) % 34.86/35.07 (step @p477 :rule eq_resolve :premises (@p476 @p475)) % 34.86/35.07 (step @p478 :rule reordering :premises (@p477) :args ((or @t265 @t289 @t321 @t317 @t319))) % 34.86/35.07 (step @p479 :rule refl :args (@t313)) % 34.86/35.07 (step @p480 :rule refl :args (@t318)) % 34.86/35.07 (step @p481 :rule bool-double-not-elim :args (@t177)) % 34.86/35.07 (step @p482 :rule nary_cong :premises (@p481 @p480 @p479) :args ((or (not @t259) @t318 @t313))) % 34.86/35.07 (assume-push @p568 @t259) % 34.86/35.07 (assume-push @p569 @t317) % 34.86/35.07 (assume-push @p570 @t308) % 34.86/35.07 (step @p486 :rule evaluate :args ((= true false))) % 34.86/35.07 (step @p487 :rule false_intro :premises (@p348)) % 34.86/35.07 (step @p488 :rule symm :premises (@p569)) % 34.86/35.07 (step @p489 :rule refl :args (@t105)) % 34.86/35.07 (step @p490 :rule cong :premises (@p489 @p488) :args (@t308)) % 34.86/35.07 (step @p491 :rule true_intro :premises (@p570)) % 34.86/35.07 (step @p492 :rule symm :premises (@p491)) % 34.86/35.07 (step @p493 :rule trans :premises (@p492 @p490 @p487)) % 34.86/35.07 (step @p494 false :rule eq_resolve :premises (@p493 @p486)) % 34.86/35.07 (step-pop @p571 :rule scope :premises (@p494)) % 34.86/35.07 (step-pop @p572 :rule scope :premises (@p571)) % 34.86/35.07 (step-pop @p573 :rule scope :premises (@p572)) % 34.86/35.07 (step @p495 :rule process_scope :premises (@p573) :args (false)) % 34.86/35.07 (step @p499 :rule not_and :premises (@p495)) % 34.86/35.07 (step @p500 :rule eq_resolve :premises (@p499 @p482)) % 34.86/35.07 (step @p501 :rule chain_m_resolution :premises (@p500 @p348 @p478 @p442 @p354 @p471 @p469 @p455 @p453 @p442 @p107 @p354 @p82) :args ((or @t321 @t313) (@list true false false false true false true true false false false false) (@list @t177 @t317 @t288 @t144 @t319 @t320 @t307 @t309 @t288 @t143 @t144 @t122))) % 34.86/35.07 (step @p502 :rule chain_m_resolution :premises (@p501 @p435) :args (@t313 @t149 (@list @t285))) % 34.86/35.07 (step @p503 :rule cnf_equiv_pos2 :args (@t325)) % 34.86/35.07 (step @p504 :rule reordering :premises (@p503) :args ((or @t308 @t326 (not @t325)))) % 34.86/35.07 (step @p505 :rule chain_m_resolution :premises (@p504 @p502 @p432) :args (@t326 @t263 (@list @t308 @t325))) % 34.86/35.07 (step @p506 :rule refl :args (@t327)) % 34.86/35.07 (step @p507 :rule bool-double-not-elim :args (@t322)) % 34.86/35.07 (step @p508 :rule refl :args (@t324)) % 34.86/35.07 (step @p509 :rule nary_cong :premises (@p508 @p94 @p397 @p507 @p506) :args ((or @t324 @t153 @t289 (not @t323) @t327))) % 34.86/35.07 (step @p510 :rule cnf_and_neg :args (@t324)) % 34.86/35.07 (step @p511 :rule eq_resolve :premises (@p510 @p509)) % 34.86/35.07 (step @p512 :rule reordering :premises (@p511) :args ((or @t153 @t289 @t327 @t322 @t324))) % 34.86/35.07 (step @p513 :rule chain_m_resolution :premises (@p512 @p107 @p442 @p431 @p505) :args (@t322 (@list false false false true) (@list @t143 @t288 @t284 @t324))) % 34.86/35.07 (step @p514 :rule refl :args (@t323)) % 34.86/35.07 (step @p515 :rule bool-double-not-elim :args (@t158)) % 34.86/35.07 (step @p516 :rule refl :args (@t328)) % 34.86/35.07 (step @p517 :rule nary_cong :premises (@p516 @p515 @p506 @p514) :args ((or @t328 (not @t159) @t327 @t323))) % 34.86/35.07 (assume-push @p574 @t140) % 34.86/35.07 (assume-push @p575 @t329) % 34.86/35.07 (assume-push @p576 @t284) % 34.86/35.07 (assume-push @p577 @t159) % 34.86/35.07 (step @p522 :rule evaluate :args ((= false true))) % 34.86/35.07 (step @p523 :rule symm :premises (@p575)) % 34.86/35.07 (step @p524 :rule trans :premises (@p431 @p523 @p88)) % 34.86/35.07 (step @p525 :rule symm :premises (@p524)) % 34.86/35.07 (step @p526 :rule true_intro :premises (@p525)) % 34.86/35.07 (step @p527 :rule false_intro :premises (@p110)) % 34.86/35.07 (step @p528 :rule symm :premises (@p527)) % 34.86/35.07 (step @p529 :rule trans :premises (@p528 @p526)) % 34.86/35.07 (step @p530 false :rule eq_resolve :premises (@p529 @p522)) % 34.86/35.07 (step-pop @p578 :rule scope :premises (@p530)) % 34.86/35.07 (step-pop @p579 :rule scope :premises (@p578)) % 34.86/35.07 (step-pop @p580 :rule scope :premises (@p579)) % 34.86/35.07 (step-pop @p581 :rule scope :premises (@p580)) % 34.86/35.07 (step @p531 :rule process_scope :premises (@p581) :args (false)) % 34.86/35.07 (assume-push @p582 @t140) % 34.86/35.07 (assume-push @p583 @t159) % 34.86/35.07 (assume-push @p584 @t284) % 34.86/35.07 (assume-push @p585 @t322) % 34.86/35.07 (assume-push @p586 @t322) % 34.86/35.07 (assume-push @p587 @t140) % 34.86/35.07 (step @p542 :rule cong :premises (@p585) :args (@t138)) % 34.86/35.07 (step @p543 :rule trans :premises (@p88 @p542)) % 34.86/35.07 (step-pop @p588 :rule scope :premises (@p543)) % 34.86/35.07 (step-pop @p589 :rule scope :premises (@p588)) % 34.86/35.07 (step @p544 :rule process_scope :premises (@p589) :args (@t329)) % 34.86/35.07 (step @p547 :rule and_intro :premises (@p585 @p88)) % 34.86/35.07 (step @p548 :rule modus_ponens :premises (@p547 @p544)) % 34.86/35.07 (step @p549 :rule and_intro :premises (@p88 @p548 @p431 @p110)) % 34.86/35.07 (step-pop @p590 :rule scope :premises (@p549)) % 34.86/35.07 (step-pop @p591 :rule scope :premises (@p590)) % 34.86/35.07 (step-pop @p592 :rule scope :premises (@p591)) % 34.86/35.07 (step-pop @p593 :rule scope :premises (@p592)) % 34.86/35.07 (step @p550 :rule process_scope :premises (@p593) :args (@t330)) % 34.86/35.07 (step @p555 :rule implies_elim :premises (@p550)) % 34.86/35.07 (step @p556 :rule resolution :premises (@p555 @p531) :args (true @t330)) % 34.86/35.07 (step @p557 :rule not_and :premises (@p556)) % 34.86/35.07 (step @p558 :rule eq_resolve :premises (@p557 @p517)) % 34.86/35.07 (step @p559 false :rule chain_m_resolution :premises (@p558 @p513 @p431 @p110 @p88) :args (false @t277 (@list @t322 @t284 @t158 @t140))) % 34.86/35.07 ) % 34.86/35.07 % SZS output end Proof % 34.86/35.07 % cvc5 exiting %------------------------------------------------------------------------------