%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRA006+1 : 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 : n025.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 15.86s 16.10s % Output : Proof 15.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRA006+1 : 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 % 0.14/0.34 % Computer : n025.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Tue Jun 2 00:14:16 EDT 2026 % 0.14/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 15.86/16.10 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.86/16.10 --- Run --no-e-matching --full-saturate-quant at 6... % 15.86/16.10 % SZS status Theorem % 15.86/16.10 % SZS output start Proof % 15.86/16.10 ( % 15.86/16.10 (declare-sort $$unsorted 0) % 15.86/16.10 (declare-const tptp.graph $$unsorted) % 15.86/16.10 (declare-const tptp.number_of_in (-> $$unsorted $$unsorted $$unsorted)) % 15.86/16.10 (declare-const tptp.edges $$unsorted) % 15.86/16.10 (declare-const tptp.triangle (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.86/16.10 (declare-const tptp.shortest_path (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.86/16.10 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 15.86/16.10 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 15.86/16.10 (declare-const tptp.tail_of (-> $$unsorted $$unsorted)) % 15.86/16.10 (declare-const tptp.triangles $$unsorted) % 15.86/16.10 (declare-const tptp.in_path (-> $$unsorted $$unsorted Bool)) % 15.86/16.10 (declare-const tptp.head_of (-> $$unsorted $$unsorted)) % 15.86/16.10 (declare-const tptp.sequential_pairs $$unsorted) % 15.86/16.10 (declare-const tptp.edge (-> $$unsorted Bool)) % 15.86/16.10 (declare-const tptp.path_cons (-> $$unsorted $$unsorted $$unsorted)) % 15.86/16.10 (declare-const tptp.precedes (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.86/16.10 (declare-const tptp.complete Bool) % 15.86/16.10 (declare-const tptp.path (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.86/16.10 (declare-const tptp.vertex (-> $$unsorted Bool)) % 15.86/16.10 (declare-const tptp.on_path (-> $$unsorted $$unsorted Bool)) % 15.86/16.10 (declare-const tptp.empty $$unsorted) % 15.86/16.10 (declare-const tptp.n1 $$unsorted) % 15.86/16.10 (declare-const tptp.sequential (-> $$unsorted $$unsorted Bool)) % 15.86/16.10 (declare-const tptp.length_of (-> $$unsorted $$unsorted)) % 15.86/16.10 (define @t1 () (@var "E" $$unsorted)) % 15.86/16.10 (define @t2 () (tptp.tail_of @t1)) % 15.86/16.10 (define @t3 () (tptp.head_of @t1)) % 15.86/16.10 (define @t4 () (not (= @t3 @t2))) % 15.86/16.10 (define @t5 () (tptp.edge @t1)) % 15.86/16.10 (define @t6 () (@list @t1)) % 15.86/16.10 (define @t7 () (forall @t6 (=> @t5 @t4))) % 15.86/16.10 (define @t8 () (and (tptp.vertex @t3) (tptp.vertex @t2))) % 15.86/16.10 (define @t9 () (forall @t6 (=> @t5 @t8))) % 15.86/16.10 (define @t10 () (@var "V1" $$unsorted)) % 15.86/16.10 (define @t11 () (= @t10 @t2)) % 15.86/16.10 (define @t12 () (@var "V2" $$unsorted)) % 15.86/16.10 (define @t13 () (= @t12 @t3)) % 15.86/16.10 (define @t14 () (and @t13 @t11)) % 15.86/16.10 (define @t15 () (and (= @t10 @t3) (= @t12 @t2))) % 15.86/16.10 (define @t16 () (xor @t15 @t14)) % 15.86/16.10 (define @t17 () (and @t5 @t16)) % 15.86/16.10 (define @t18 () (exists @t6 @t17)) % 15.86/16.10 (define @t19 () (= @t10 @t12)) % 15.86/16.10 (define @t20 () (not @t19)) % 15.86/16.10 (define @t21 () (tptp.vertex @t12)) % 15.86/16.10 (define @t22 () (tptp.vertex @t10)) % 15.86/16.10 (define @t23 () (and @t22 @t21 @t20)) % 15.86/16.10 (define @t24 () (=> @t23 @t18)) % 15.86/16.10 (define @t25 () (@list @t10 @t12)) % 15.86/16.10 (define @t26 () (forall @t25 @t24)) % 15.86/16.10 (define @t27 () (=> tptp.complete @t26)) % 15.86/16.10 (define @t28 () (@var "P" $$unsorted)) % 15.86/16.10 (define @t29 () (tptp.path @t10 @t12 @t28)) % 15.86/16.10 (define @t30 () (@var "TP" $$unsorted)) % 15.86/16.10 (define @t31 () (exists (@list @t30) (and (tptp.path @t3 @t12 @t30) (= @t28 (tptp.path_cons @t1 @t30))))) % 15.86/16.10 (define @t32 () (and @t13 (= @t28 (tptp.path_cons @t1 tptp.empty)))) % 15.86/16.10 (define @t33 () (@list @t10 @t12 @t28)) % 15.86/16.10 (define @t34 () (and @t5 (tptp.in_path @t3 @t28) (tptp.in_path @t2 @t28))) % 15.86/16.10 (define @t35 () (tptp.on_path @t1 @t28)) % 15.86/16.10 (define @t36 () (and @t29 @t35)) % 15.86/16.10 (define @t37 () (@list @t10 @t12 @t28 @t1)) % 15.86/16.10 (define @t38 () (forall @t37 (=> @t36 @t34))) % 15.86/16.10 (define @t39 () (@var "V" $$unsorted)) % 15.86/16.10 (define @t40 () (@var "E2" $$unsorted)) % 15.86/16.10 (define @t41 () (@var "E1" $$unsorted)) % 15.86/16.10 (define @t42 () (tptp.edge @t40)) % 15.86/16.10 (define @t43 () (tptp.edge @t41)) % 15.86/16.10 (define @t44 () (tptp.sequential @t41 @t40)) % 15.86/16.10 (define @t45 () (@list @t41 @t40)) % 15.86/16.10 (define @t46 () (forall @t45 (= @t44 (and @t43 @t42 (not (= @t41 @t40)) (= (tptp.head_of @t41) (tptp.tail_of @t40)))))) % 15.86/16.10 (define @t47 () (tptp.precedes @t41 @t40 @t28)) % 15.86/16.10 (define @t48 () (@var "E3" $$unsorted)) % 15.86/16.10 (define @t49 () (tptp.precedes @t48 @t40 @t28)) % 15.86/16.10 (define @t50 () (tptp.sequential @t41 @t48)) % 15.86/16.10 (define @t51 () (and @t50 @t49)) % 15.86/16.10 (define @t52 () (@list @t48)) % 15.86/16.10 (define @t53 () (exists @t52 @t51)) % 15.86/16.10 (define @t54 () (or @t44 @t53)) % 15.86/16.10 (define @t55 () (tptp.on_path @t40 @t28)) % 15.86/16.10 (define @t56 () (tptp.on_path @t41 @t28)) % 15.86/16.10 (define @t57 () (and @t56 @t55 @t54)) % 15.86/16.10 (define @t58 () (=> @t57 @t47)) % 15.86/16.10 (define @t59 () (forall @t45 @t58)) % 15.86/16.10 (define @t60 () (=> @t29 @t59)) % 15.86/16.10 (define @t61 () (@list @t28 @t10 @t12)) % 15.86/16.10 (define @t62 () (forall @t61 @t60)) % 15.86/16.10 (define @t63 () (xor @t44 @t53)) % 15.86/16.10 (define @t64 () (and @t56 @t55 @t63)) % 15.86/16.10 (define @t65 () (=> @t47 @t64)) % 15.86/16.10 (define @t66 () (forall @t45 @t65)) % 15.86/16.10 (define @t67 () (=> @t29 @t66)) % 15.86/16.10 (define @t68 () (forall @t61 @t67)) % 15.86/16.10 (define @t69 () (tptp.length_of @t28)) % 15.86/16.10 (define @t70 () (@var "SP" $$unsorted)) % 15.86/16.10 (define @t71 () (tptp.less_or_equal (tptp.length_of @t70) @t69)) % 15.86/16.10 (define @t72 () (@list @t28)) % 15.86/16.10 (define @t73 () (forall @t72 (=> @t29 @t71))) % 15.86/16.10 (define @t74 () (tptp.path @t10 @t12 @t70)) % 15.86/16.10 (define @t75 () (and @t74 @t20 @t73)) % 15.86/16.10 (define @t76 () (tptp.shortest_path @t10 @t12 @t70)) % 15.86/16.10 (define @t77 () (= @t76 @t75)) % 15.86/16.10 (define @t78 () (@list @t10 @t12 @t70)) % 15.86/16.10 (define @t79 () (forall @t78 @t77)) % 15.86/16.10 (define @t80 () (not (tptp.precedes @t40 @t41 @t28))) % 15.86/16.10 (define @t81 () (tptp.head_of @t40)) % 15.86/16.10 (define @t82 () (tptp.head_of @t48)) % 15.86/16.10 (define @t83 () (= @t82 @t81)) % 15.86/16.10 (define @t84 () (tptp.tail_of @t41)) % 15.86/16.10 (define @t85 () (tptp.tail_of @t48)) % 15.86/16.10 (define @t86 () (= @t85 @t84)) % 15.86/16.10 (define @t87 () (and @t86 @t83)) % 15.86/16.10 (define @t88 () (exists @t52 @t87)) % 15.86/16.10 (define @t89 () (not @t88)) % 15.86/16.10 (define @t90 () (and @t89 @t80)) % 15.86/16.10 (define @t91 () (tptp.shortest_path @t10 @t12 @t28)) % 15.86/16.10 (define @t92 () (and @t91 @t47)) % 15.86/16.10 (define @t93 () (=> @t92 @t90)) % 15.86/16.10 (define @t94 () (@list @t10 @t12 @t41 @t40 @t28)) % 15.86/16.10 (define @t95 () (forall @t94 @t93)) % 15.86/16.10 (define @t96 () (tptp.edge @t48)) % 15.86/16.10 (define @t97 () (tptp.triangle @t41 @t40 @t48)) % 15.86/16.10 (define @t98 () (tptp.number_of_in tptp.sequential_pairs @t28)) % 15.86/16.10 (define @t99 () (@var "Things" $$unsorted)) % 15.86/16.10 (define @t100 () (@var "InThese" $$unsorted)) % 15.86/16.10 (define @t101 () (= @t85 @t81)) % 15.86/16.10 (define @t102 () (and @t96 @t101 (= @t82 @t84))) % 15.86/16.10 (define @t103 () (exists @t52 @t102)) % 15.86/16.10 (define @t104 () (and @t96 @t86 @t83)) % 15.86/16.10 (define @t105 () (exists @t52 @t104)) % 15.86/16.10 (define @t106 () (xor @t105 @t103)) % 15.86/16.10 (define @t107 () (=> @t92 @t106)) % 15.86/16.10 (define @t108 () (forall @t94 @t107)) % 15.86/16.10 (define @t109 () (=> tptp.complete @t108)) % 15.86/16.10 (define @t110 () (not @t109)) % 15.86/16.10 (define @t111 () (= @t84 @t82)) % 15.86/16.10 (define @t112 () (not @t111)) % 15.86/16.10 (define @t113 () (not @t101)) % 15.86/16.10 (define @t114 () (not @t96)) % 15.86/16.10 (define @t115 () (or @t114 @t113 @t112)) % 15.86/16.10 (define @t116 () (not (forall @t52 @t115))) % 15.86/16.10 (define @t117 () (not @t83)) % 15.86/16.10 (define @t118 () (not @t86)) % 15.86/16.10 (define @t119 () (or @t114 @t118 @t117)) % 15.86/16.10 (define @t120 () (forall @t52 @t119)) % 15.86/16.10 (define @t121 () (= @t120 @t116)) % 15.86/16.10 (define @t122 () (not @t47)) % 15.86/16.10 (define @t123 () (not @t91)) % 15.86/16.10 (define @t124 () (or @t123 @t122 @t121)) % 15.86/16.10 (define @t125 () (forall @t94 @t124)) % 15.86/16.10 (define @t126 () (or @t123 @t122)) % 15.86/16.10 (define @t127 () (not @t120)) % 15.86/16.10 (define @t128 () (xor @t127 @t116)) % 15.86/16.10 (define @t129 () (not @t92)) % 15.86/16.10 (define @t130 () (and @t96 @t101 @t111)) % 15.86/16.10 (define @t131 () (forall @t52 (not @t130))) % 15.86/16.10 (define @t132 () (not @t131)) % 15.86/16.10 (define @t133 () (or @t118 @t117)) % 15.86/16.10 (define @t134 () (not @t87)) % 15.86/16.10 (define @t135 () (forall @t52 (not @t104))) % 15.86/16.10 (define @t136 () (not @t135)) % 15.86/16.10 (define @t137 () (=> tptp.complete @t125)) % 15.86/16.10 (define @t138 () (@quantifiers_skolemize @t125 2)) % 15.86/16.10 (define @t139 () (tptp.tail_of @t138)) % 15.86/16.10 (define @t140 () (@quantifiers_skolemize @t125 3)) % 15.86/16.10 (define @t141 () (tptp.head_of @t140)) % 15.86/16.10 (define @t142 () (not (= @t85 @t141))) % 15.86/16.10 (define @t143 () (forall @t52 (or @t114 @t142 (not (= @t82 @t139))))) % 15.86/16.10 (define @t144 () (not @t143)) % 15.86/16.10 (define @t145 () (forall @t52 (or @t114 (not (= @t85 @t139)) (not (= @t82 @t141))))) % 15.86/16.10 (define @t146 () (= @t145 @t144)) % 15.86/16.10 (define @t147 () (@quantifiers_skolemize @t125 4)) % 15.86/16.10 (define @t148 () (tptp.precedes @t138 @t140 @t147)) % 15.86/16.10 (define @t149 () (not @t148)) % 15.86/16.10 (define @t150 () (@quantifiers_skolemize @t125 1)) % 15.86/16.10 (define @t151 () (@quantifiers_skolemize @t125 0)) % 15.86/16.10 (define @t152 () (tptp.shortest_path @t151 @t150 @t147)) % 15.86/16.10 (define @t153 () (not @t152)) % 15.86/16.10 (define @t154 () (or @t153 @t149 @t146)) % 15.86/16.10 (define @t155 () (not @t154)) % 15.86/16.10 (define @t156 () (not @t125)) % 15.86/16.10 (define @t157 () (not (= @t139 @t82))) % 15.86/16.10 (define @t158 () (or @t114 @t142 @t157)) % 15.86/16.10 (define @t159 () (forall @t52 @t158)) % 15.86/16.10 (define @t160 () (not @t159)) % 15.86/16.10 (define @t161 () (= @t145 @t160)) % 15.86/16.10 (define @t162 () (or @t153 @t149 @t161)) % 15.86/16.10 (define @t163 () (not @t162)) % 15.86/16.10 (define @t164 () (@list true)) % 15.86/16.10 (define @t165 () (@list @t154)) % 15.86/16.10 (define @t166 () (@var "BOUND_VARIABLE_7927" $$unsorted)) % 15.86/16.10 (define @t167 () (tptp.head_of @t166)) % 15.86/16.10 (define @t168 () (not (= @t167 @t81))) % 15.86/16.10 (define @t169 () (tptp.tail_of @t166)) % 15.86/16.10 (define @t170 () (not (= @t169 @t84))) % 15.86/16.10 (define @t171 () (or @t170 @t168)) % 15.86/16.10 (define @t172 () (and @t171 @t80)) % 15.86/16.10 (define @t173 () (or @t123 @t122 @t172)) % 15.86/16.10 (define @t174 () (forall (@list @t10 @t12 @t41 @t40 @t28 @t166) @t173)) % 15.86/16.10 (define @t175 () (@list @t166)) % 15.86/16.10 (define @t176 () (forall @t175 @t173)) % 15.86/16.10 (define @t177 () (forall @t175 @t80)) % 15.86/16.10 (define @t178 () (forall @t175 @t171)) % 15.86/16.10 (define @t179 () (@list @t48)) % 15.86/16.10 (define @t180 () (and @t178 @t177)) % 15.86/16.10 (define @t181 () (forall @t175 @t172)) % 15.86/16.10 (define @t182 () (or @t123 @t122 @t181)) % 15.86/16.10 (define @t183 () (forall @t52 @t133)) % 15.86/16.10 (define @t184 () (and @t183 @t80)) % 15.86/16.10 (define @t185 () (or @t123 @t122 @t184)) % 15.86/16.10 (define @t186 () (forall @t52 @t134)) % 15.86/16.10 (define @t187 () (not @t186)) % 15.86/16.10 (define @t188 () (@quantifiers_skolemize @t145 0)) % 15.86/16.10 (define @t189 () (not @t145)) % 15.86/16.10 (define @t190 () (not @t5)) % 15.86/16.10 (define @t191 () (forall @t6 (or @t190 (= (and (= @t3 @t139) (= @t2 @t141)) (and (= @t3 @t141) (= @t2 @t139)))))) % 15.86/16.10 (define @t192 () (@quantifiers_skolemize @t191 0)) % 15.86/16.10 (define @t193 () (tptp.head_of @t192)) % 15.86/16.10 (define @t194 () (= @t193 @t141)) % 15.86/16.10 (define @t195 () (not @t194)) % 15.86/16.10 (define @t196 () (tptp.tail_of @t192)) % 15.86/16.10 (define @t197 () (= @t196 @t139)) % 15.86/16.10 (define @t198 () (not @t197)) % 15.86/16.10 (define @t199 () (tptp.edge @t192)) % 15.86/16.10 (define @t200 () (not @t199)) % 15.86/16.10 (define @t201 () (or @t200 @t198 @t195)) % 15.86/16.10 (define @t202 () (@list @t192)) % 15.86/16.10 (define @t203 () (= @t193 @t139)) % 15.86/16.10 (define @t204 () (not @t203)) % 15.86/16.10 (define @t205 () (= @t196 @t141)) % 15.86/16.10 (define @t206 () (not @t205)) % 15.86/16.10 (define @t207 () (or @t200 @t206 @t204)) % 15.86/16.10 (define @t208 () (@list @t140)) % 15.86/16.10 (define @t209 () (not @t35)) % 15.86/16.10 (define @t210 () (not @t29)) % 15.86/16.10 (define @t211 () (or @t210 @t209 @t34)) % 15.86/16.10 (define @t212 () (@var "BOUND_VARIABLE_7880" $$unsorted)) % 15.86/16.10 (define @t213 () (@var "BOUND_VARIABLE_7878" $$unsorted)) % 15.86/16.10 (define @t214 () (and (tptp.on_path @t213 @t28) (tptp.on_path @t212 @t28) (= (not (forall @t52 (or (not (tptp.sequential @t213 @t48)) (not (tptp.precedes @t48 @t212 @t28))))) (not (tptp.sequential @t213 @t212))))) % 15.86/16.10 (define @t215 () (not (tptp.precedes @t213 @t212 @t28))) % 15.86/16.10 (define @t216 () (or @t210 @t215 @t214)) % 15.86/16.10 (define @t217 () (or @t215 @t214)) % 15.86/16.10 (define @t218 () (or @t210 @t217)) % 15.86/16.10 (define @t219 () (@list @t28 @t10 @t12 @t213 @t212)) % 15.86/16.10 (define @t220 () (forall @t219 @t218)) % 15.86/16.10 (define @t221 () (@list @t213 @t212)) % 15.86/16.10 (define @t222 () (forall @t221 @t218)) % 15.86/16.10 (define @t223 () (forall @t221 @t217)) % 15.86/16.10 (define @t224 () (or @t210 @t223)) % 15.86/16.10 (define @t225 () (not @t44)) % 15.86/16.10 (define @t226 () (forall @t52 (or (not @t50) (not @t49)))) % 15.86/16.10 (define @t227 () (not @t226)) % 15.86/16.10 (define @t228 () (forall @t45 (or @t122 (and @t56 @t55 (= @t227 @t225))))) % 15.86/16.10 (define @t229 () (and @t56 @t55 (= @t225 @t227))) % 15.86/16.10 (define @t230 () (or @t122 @t229)) % 15.86/16.10 (define @t231 () (and @t56 @t55 (xor @t44 @t227))) % 15.86/16.10 (define @t232 () (forall @t52 (not @t51))) % 15.86/16.10 (define @t233 () (not @t232)) % 15.86/16.10 (define @t234 () (not (forall @t52 (or (not (tptp.sequential @t138 @t48)) (not (tptp.precedes @t48 @t140 @t147)))))) % 15.86/16.10 (define @t235 () (not (tptp.sequential @t138 @t140))) % 15.86/16.10 (define @t236 () (tptp.on_path @t140 @t147)) % 15.86/16.10 (define @t237 () (tptp.on_path @t138 @t147)) % 15.86/16.10 (define @t238 () (and @t237 @t236 (= @t234 @t235))) % 15.86/16.10 (define @t239 () (tptp.path @t151 @t150 @t147)) % 15.86/16.10 (define @t240 () (not @t239)) % 15.86/16.10 (define @t241 () (or @t240 @t149 @t238)) % 15.86/16.10 (define @t242 () (forall @t219 @t216)) % 15.86/16.10 (define @t243 () (and @t237 @t236 (= @t235 @t234))) % 15.86/16.10 (define @t244 () (or @t240 @t149 @t243)) % 15.86/16.10 (define @t245 () (@list false)) % 15.86/16.10 (define @t246 () (and @t239 (not (= @t151 @t150)) (forall @t72 (or (not (tptp.path @t151 @t150 @t28)) (tptp.less_or_equal (tptp.length_of @t147) @t69))))) % 15.86/16.10 (define @t247 () (= @t152 @t246)) % 15.86/16.10 (define @t248 () (@list false false)) % 15.86/16.10 (define @t249 () (@list false false false)) % 15.86/16.10 (define @t250 () (not @t243)) % 15.86/16.10 (define @t251 () (@list @t243)) % 15.86/16.10 (define @t252 () (tptp.tail_of @t140)) % 15.86/16.10 (define @t253 () (tptp.edge @t140)) % 15.86/16.10 (define @t254 () (and @t253 (tptp.in_path @t141 @t147) (tptp.in_path @t252 @t147))) % 15.86/16.10 (define @t255 () (not @t236)) % 15.86/16.10 (define @t256 () (or @t240 @t255 @t254)) % 15.86/16.10 (define @t257 () (= @t141 @t252)) % 15.86/16.10 (define @t258 () (not @t257)) % 15.86/16.10 (define @t259 () (not @t253)) % 15.86/16.10 (define @t260 () (or @t259 @t258)) % 15.86/16.10 (define @t261 () (= @t139 @t141)) % 15.86/16.10 (define @t262 () (= @t138 @t140)) % 15.86/16.10 (define @t263 () (and @t261 @t262)) % 15.86/16.10 (define @t264 () (not @t262)) % 15.86/16.10 (define @t265 () (not @t261)) % 15.86/16.10 (define @t266 () (tptp.head_of @t138)) % 15.86/16.10 (define @t267 () (tptp.edge @t138)) % 15.86/16.10 (define @t268 () (and @t267 (tptp.in_path @t266 @t147) (tptp.in_path @t139 @t147))) % 15.86/16.10 (define @t269 () (not @t237)) % 15.86/16.10 (define @t270 () (or @t240 @t269 @t268)) % 15.86/16.10 (define @t271 () (not (= @t140 @t138))) % 15.86/16.10 (define @t272 () (and @t253 @t267 @t271 (= @t141 @t139))) % 15.86/16.10 (define @t273 () (tptp.sequential @t140 @t138)) % 15.86/16.10 (define @t274 () (= @t273 @t272)) % 15.86/16.10 (define @t275 () (and @t253 @t267 @t264 @t261)) % 15.86/16.10 (define @t276 () (= @t273 @t275)) % 15.86/16.10 (define @t277 () (@var "BOUND_VARIABLE_7837" $$unsorted)) % 15.86/16.10 (define @t278 () (@var "BOUND_VARIABLE_7835" $$unsorted)) % 15.86/16.10 (define @t279 () (tptp.precedes @t278 @t277 @t28)) % 15.86/16.10 (define @t280 () (@var "BOUND_VARIABLE_7839" $$unsorted)) % 15.86/16.10 (define @t281 () (and (not (tptp.sequential @t278 @t277)) (or (not (tptp.sequential @t278 @t280)) (not (tptp.precedes @t280 @t277 @t28))))) % 15.86/16.10 (define @t282 () (not (tptp.on_path @t277 @t28))) % 15.86/16.10 (define @t283 () (not (tptp.on_path @t278 @t28))) % 15.86/16.10 (define @t284 () (or @t283 @t282 @t281 @t279)) % 15.86/16.10 (define @t285 () (or @t210 @t284)) % 15.86/16.10 (define @t286 () (forall (@list @t28 @t10 @t12 @t278 @t277 @t280) @t285)) % 15.86/16.10 (define @t287 () (@list @t278 @t277 @t280)) % 15.86/16.10 (define @t288 () (forall @t287 @t285)) % 15.86/16.10 (define @t289 () (forall @t287 @t284)) % 15.86/16.10 (define @t290 () (@var "BOUND_VARIABLE_7820" $$unsorted)) % 15.86/16.10 (define @t291 () (or @t210 @t289)) % 15.86/16.10 (define @t292 () (or (not (tptp.sequential @t41 @t290)) (not (tptp.precedes @t290 @t40 @t28)))) % 15.86/16.10 (define @t293 () (and @t225 @t292)) % 15.86/16.10 (define @t294 () (not @t55)) % 15.86/16.10 (define @t295 () (not @t56)) % 15.86/16.10 (define @t296 () (or @t295 @t294 @t293 @t47)) % 15.86/16.10 (define @t297 () (forall (@list @t41 @t40 @t290) @t296)) % 15.86/16.10 (define @t298 () (@list @t290)) % 15.86/16.10 (define @t299 () (forall @t298 @t296)) % 15.86/16.10 (define @t300 () (forall @t298 @t292)) % 15.86/16.10 (define @t301 () (forall @t298 @t225)) % 15.86/16.10 (define @t302 () (and @t301 @t300)) % 15.86/16.10 (define @t303 () (forall @t298 @t293)) % 15.86/16.10 (define @t304 () (or @t295 @t294 @t303 @t47)) % 15.86/16.10 (define @t305 () (and @t225 @t226)) % 15.86/16.10 (define @t306 () (or @t295 @t294 @t305 @t47)) % 15.86/16.10 (define @t307 () (or @t44 @t227)) % 15.86/16.10 (define @t308 () (not @t307)) % 15.86/16.10 (define @t309 () (or @t295 @t294 @t308)) % 15.86/16.10 (define @t310 () (and @t56 @t55 @t307)) % 15.86/16.10 (define @t311 () (tptp.precedes @t140 @t140 @t147)) % 15.86/16.10 (define @t312 () (not @t311)) % 15.86/16.10 (define @t313 () (and (or (not (= @t252 (tptp.tail_of @t147))) (not (= @t141 (tptp.head_of @t147)))) @t312)) % 15.86/16.10 (define @t314 () (or @t153 @t312 @t313)) % 15.86/16.10 (define @t315 () (not @t273)) % 15.86/16.10 (define @t316 () (or @t315 @t149)) % 15.86/16.10 (define @t317 () (and (not (tptp.sequential @t140 @t140)) @t316)) % 15.86/16.10 (define @t318 () (or @t240 @t255 @t255 @t317 @t311)) % 15.86/16.10 (define @t319 () (not @t275)) % 15.86/16.10 (define @t320 () (not @t267)) % 15.86/16.10 (define @t321 () (and (= @t3 @t12) (= @t2 @t10))) % 15.86/16.10 (define @t322 () (and (= @t3 @t10) (= @t2 @t12))) % 15.86/16.10 (define @t323 () (not (forall @t6 (or @t190 (= @t322 @t321))))) % 15.86/16.10 (define @t324 () (not @t21)) % 15.86/16.10 (define @t325 () (not @t22)) % 15.86/16.10 (define @t326 () (or @t325 @t324 @t19 @t323)) % 15.86/16.10 (define @t327 () (forall @t25 @t326)) % 15.86/16.10 (define @t328 () (not @t20)) % 15.86/16.10 (define @t329 () (or @t325 @t324 @t328)) % 15.86/16.10 (define @t330 () (xor @t322 @t321)) % 15.86/16.10 (define @t331 () (and @t5 @t330)) % 15.86/16.10 (define @t332 () (forall @t6 (not @t331))) % 15.86/16.10 (define @t333 () (not @t332)) % 15.86/16.10 (define @t334 () (tptp.vertex @t141)) % 15.86/16.10 (define @t335 () (and @t334 (tptp.vertex @t252))) % 15.86/16.10 (define @t336 () (or @t259 @t335)) % 15.86/16.10 (define @t337 () (tptp.vertex @t139)) % 15.86/16.10 (define @t338 () (and (tptp.vertex @t266) @t337)) % 15.86/16.10 (define @t339 () (or @t320 @t338)) % 15.86/16.10 (define @t340 () (not @t191)) % 15.86/16.10 (define @t341 () (not @t334)) % 15.86/16.10 (define @t342 () (not @t337)) % 15.86/16.10 (define @t343 () (or @t342 @t341 @t261 @t340)) % 15.86/16.10 (define @t344 () (forall @t78 (= @t76 (and @t74 @t20 (forall @t72 (or @t210 @t71)))))) % 15.86/16.10 (define @t345 () (forall @t37 @t211)) % 15.86/16.10 (define @t346 () (forall @t6 (or @t190 @t8))) % 15.86/16.10 (define @t347 () (= @t139 @t196)) % 15.86/16.10 (define @t348 () (= @t141 @t193)) % 15.86/16.10 (define @t349 () (and @t348 @t347)) % 15.86/16.10 (define @t350 () (= @t141 @t196)) % 15.86/16.10 (define @t351 () (= @t139 @t193)) % 15.86/16.10 (define @t352 () (and @t351 @t350)) % 15.86/16.10 (define @t353 () (= @t352 @t349)) % 15.86/16.10 (define @t354 () (or @t200 @t353)) % 15.86/16.10 (define @t355 () (not @t354)) % 15.86/16.10 (define @t356 () (and @t194 @t197)) % 15.86/16.10 (define @t357 () (and @t203 @t205)) % 15.86/16.10 (define @t358 () (= @t357 @t356)) % 15.86/16.10 (define @t359 () (or @t200 @t358)) % 15.86/16.10 (define @t360 () (not @t359)) % 15.86/16.10 (define @t361 () (not @t351)) % 15.86/16.10 (define @t362 () (not @t350)) % 15.86/16.10 (define @t363 () (or @t200 @t362 @t361)) % 15.86/16.10 (define @t364 () (not @t363)) % 15.86/16.10 (define @t365 () (not @t352)) % 15.86/16.10 (define @t366 () (not @t349)) % 15.86/16.10 (define @t367 () (not @t348)) % 15.86/16.10 (define @t368 () (and @t351 @t348 @t265)) % 15.86/16.10 (define @t369 () (not @t347)) % 15.86/16.10 (define @t370 () (or @t200 @t369 @t367)) % 15.86/16.10 (define @t371 () (not @t370)) % 15.86/16.10 (define @t372 () (tptp.head_of @t188)) % 15.86/16.10 (define @t373 () (= @t141 @t372)) % 15.86/16.10 (define @t374 () (not @t373)) % 15.86/16.10 (define @t375 () (tptp.tail_of @t188)) % 15.86/16.10 (define @t376 () (= @t139 @t375)) % 15.86/16.10 (define @t377 () (not @t376)) % 15.86/16.10 (define @t378 () (not (tptp.edge @t188))) % 15.86/16.10 (define @t379 () (or @t378 @t377 @t374)) % 15.86/16.10 (define @t380 () (not @t379)) % 15.86/16.10 (define @t381 () (not (= @t372 @t141))) % 15.86/16.10 (define @t382 () (not (= @t375 @t139))) % 15.86/16.10 (define @t383 () (or @t378 @t382 @t381)) % 15.86/16.10 (define @t384 () (not @t383)) % 15.86/16.10 (define @t385 () (@list @t379)) % 15.86/16.10 (define @t386 () (or @t377 @t374)) % 15.86/16.10 (define @t387 () (not @t386)) % 15.86/16.10 (define @t388 () (and @t386 (not (tptp.precedes @t140 @t138 @t147)))) % 15.86/16.10 (define @t389 () (not @t388)) % 15.86/16.10 (define @t390 () (or @t153 @t149 @t388)) % 15.86/16.10 (assume @p1 @t7) % 15.86/16.10 (assume @p2 @t9) % 15.86/16.10 (assume @p3 @t27) % 15.86/16.10 (assume @p4 (forall @t33 (=> (and @t22 @t21 (exists @t6 (and @t5 @t11 (or @t32 @t31)))) @t29))) % 15.86/16.10 (assume @p5 (forall @t33 (=> @t29 (and @t22 @t21 (exists @t6 (and @t5 @t11 (xor @t32 @t31))))))) % 15.86/16.10 (assume @p6 @t38) % 15.86/16.10 (assume @p7 (forall (@list @t10 @t12 @t28 @t39) (=> (and @t29 (tptp.in_path @t39 @t28)) (and (tptp.vertex @t39) (exists @t6 (and @t35 (or (= @t39 @t3) (= @t39 @t2)))))))) % 15.86/16.10 (assume @p8 @t46) % 15.86/16.10 (assume @p9 @t62) % 15.86/16.10 (assume @p10 @t68) % 15.86/16.10 (assume @p11 @t79) % 15.86/16.10 (assume @p12 @t95) % 15.86/16.10 (assume @p13 (forall (@list @t41 @t40 @t48) (= @t97 (and @t43 @t42 @t96 @t44 (tptp.sequential @t40 @t48) (tptp.sequential @t48 @t41))))) % 15.86/16.10 (assume @p14 (forall @t33 (=> @t29 (= @t69 (tptp.number_of_in tptp.edges @t28))))) % 15.86/16.10 (assume @p15 (forall @t33 (=> @t29 (= @t98 (tptp.minus @t69 tptp.n1))))) % 15.86/16.10 (assume @p16 (forall @t61 (=> (and @t29 (forall @t45 (=> (and @t56 @t55 @t44) (exists @t52 @t97)))) (= @t98 (tptp.number_of_in tptp.triangles @t28))))) % 15.86/16.10 (assume @p17 (forall (@list @t99 @t100) (tptp.less_or_equal (tptp.number_of_in @t99 @t100) (tptp.number_of_in @t99 tptp.graph)))) % 15.86/16.10 (assume @p18 @t110) % 15.86/16.10 (assume @p19 true) % 15.86/16.10 (step @p20 :rule bool-impl-true2 :args (@t125)) % 15.86/16.10 (step @p21 :rule cong :premises (@p20) :args ((not (=> true @t125)))) % 15.86/16.10 (step @p22 :rule refl :args (@t125)) % 15.86/16.10 (step @p23 :rule bool-eq-true :args (tptp.complete)) % 15.86/16.10 (step @p24 :rule symm :premises (@p23)) % 15.86/16.10 (step @p25 :rule aci_norm :args ((= (or @t126 @t121) @t124))) % 15.86/16.10 (step @p26 :rule refl :args (@t116)) % 15.86/16.10 (step @p27 :rule bool-double-not-elim :args (@t120)) % 15.86/16.10 (step @p28 :rule cong :premises (@p27 @p26) :args ((= (not @t127) @t116))) % 15.86/16.10 (step @p29 :rule bool-xor-elim :args (@t127 @t116)) % 15.86/16.10 (step @p30 :rule trans :premises (@p29 @p28)) % 15.86/16.10 (step @p31 :rule bool-and-de-morgan :args (@t91 @t47 true)) % 15.86/16.10 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or @t129 @t128))) % 15.86/16.10 (step @p33 :rule trans :premises (@p32 @p25)) % 15.86/16.10 (step @p34 :rule bool-impl-elim :args (@t92 @t128)) % 15.86/16.10 (step @p35 :rule trans :premises (@p34 @p33)) % 15.86/16.10 (step @p36 :rule cong :premises (@p35) :args ((forall @t94 (=> @t92 @t128)))) % 15.86/16.10 (step @p37 :rule aci_norm :args ((= (or @t114 (or @t113 @t112)) @t115))) % 15.86/16.10 (step @p38 :rule bool-and-de-morgan :args (@t101 @t111 true)) % 15.86/16.10 (step @p39 :rule refl :args (@t114)) % 15.86/16.10 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or @t114 (not (and @t101 @t111))))) % 15.86/16.10 (step @p41 :rule bool-and-de-morgan :args (@t96 @t101 (and @t111))) % 15.86/16.10 (step @p42 :rule trans :premises (@p41 @p40)) % 15.86/16.10 (step @p43 :rule trans :premises (@p42 @p37)) % 15.86/16.10 (step @p44 :rule cong :premises (@p43) :args (@t131)) % 15.86/16.10 (step @p45 :rule cong :premises (@p44) :args (@t132)) % 15.86/16.10 (step @p46 :rule exists-elim :args ((= (exists @t52 @t130) @t132))) % 15.86/16.10 (step @p47 :rule trans :premises (@p46 @p45)) % 15.86/16.10 (step @p48 :rule eq-symm :args (@t82 @t84)) % 15.86/16.10 (step @p49 :rule refl :args (@t101)) % 15.86/16.10 (step @p50 :rule refl :args (@t96)) % 15.86/16.10 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48) :args (@t102)) % 15.86/16.10 (step @p52 :rule cong :premises (@p51) :args (@t103)) % 15.86/16.10 (step @p53 :rule trans :premises (@p52 @p47)) % 15.86/16.10 (step @p54 :rule aci_norm :args ((= (or @t114 @t133) @t119))) % 15.86/16.10 (step @p55 :rule bool-and-de-morgan :args (@t86 @t83 true)) % 15.86/16.10 (step @p56 :rule nary_cong :premises (@p39 @p55) :args ((or @t114 @t134))) % 15.86/16.10 (step @p57 :rule bool-and-de-morgan :args (@t96 @t86 (and @t83))) % 15.86/16.10 (step @p58 :rule trans :premises (@p57 @p56)) % 15.86/16.10 (step @p59 :rule trans :premises (@p58 @p54)) % 15.86/16.10 (step @p60 :rule cong :premises (@p59) :args (@t135)) % 15.86/16.10 (step @p61 :rule cong :premises (@p60) :args (@t136)) % 15.86/16.10 (step @p62 :rule exists-elim :args ((= @t105 @t136))) % 15.86/16.10 (step @p63 :rule trans :premises (@p62 @p61)) % 15.86/16.10 (step @p64 :rule cong :premises (@p63 @p53) :args (@t106)) % 15.86/16.10 (step @p65 :rule refl :args (@t92)) % 15.86/16.10 (step @p66 :rule cong :premises (@p65 @p64) :args (@t107)) % 15.86/16.10 (step @p67 :rule cong :premises (@p66) :args (@t108)) % 15.86/16.10 (step @p68 :rule trans :premises (@p67 @p36)) % 15.86/16.10 (step @p69 :rule refl :args (tptp.complete)) % 15.86/16.10 (step @p70 :rule cong :premises (@p69 @p68) :args (@t109)) % 15.86/16.10 (step @p71 :rule cong :premises (@p70) :args (@t110)) % 15.86/16.10 (step @p72 :rule eq_resolve :premises (@p18 @p71)) % 15.86/16.10 (step @p73 :rule not_implies_elim1 :premises (@p72)) % 15.86/16.10 (step @p74 :rule eq_resolve :premises (@p73 @p24)) % 15.86/16.10 (step @p75 :rule cong :premises (@p74 @p22) :args (@t137)) % 15.86/16.10 (step @p76 :rule cong :premises (@p75) :args ((not @t137))) % 15.86/16.10 (step @p77 :rule trans :premises (@p76 @p21)) % 15.86/16.10 (step @p78 :rule trans :premises (@p71 @p77)) % 15.86/16.10 (step @p79 :rule eq_resolve :premises (@p18 @p78)) % 15.86/16.10 (step @p80 :rule refl :args (@t155)) % 15.86/16.10 (step @p81 :rule bool-double-not-elim :args (@t125)) % 15.86/16.10 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or (not @t156) @t155))) % 15.86/16.10 (step @p83 :rule eq-symm :args (@t139 @t82)) % 15.86/16.10 (step @p84 :rule cong :premises (@p83) :args (@t157)) % 15.86/16.10 (step @p85 :rule refl :args (@t142)) % 15.86/16.10 (step @p86 :rule refl :args (@t114)) % 15.86/16.10 (step @p87 :rule nary_cong :premises (@p86 @p85 @p84) :args (@t158)) % 15.86/16.10 (step @p88 :rule cong :premises (@p87) :args (@t159)) % 15.86/16.10 (step @p89 :rule cong :premises (@p88) :args (@t160)) % 15.86/16.10 (step @p90 :rule refl :args (@t145)) % 15.86/16.10 (step @p91 :rule cong :premises (@p90 @p89) :args (@t161)) % 15.86/16.10 (step @p92 :rule refl :args (@t149)) % 15.86/16.10 (step @p93 :rule refl :args (@t153)) % 15.86/16.10 (step @p94 :rule nary_cong :premises (@p93 @p92 @p91) :args (@t162)) % 15.86/16.10 (step @p95 :rule cong :premises (@p94) :args (@t163)) % 15.86/16.10 (step @p96 :rule refl :args (@t156)) % 15.86/16.10 (step @p97 :rule cong :premises (@p96 @p95) :args ((=> @t156 @t163))) % 15.86/16.10 (assume-push @p649 @t156) % 15.86/16.10 (step @p99 :rule skolemize :premises (@p79)) % 15.86/16.10 (step-pop @p650 :rule scope :premises (@p99)) % 15.86/16.10 (step @p100 :rule process_scope :premises (@p650) :args (@t163)) % 15.86/16.10 (step @p102 :rule eq_resolve :premises (@p100 @p97)) % 15.86/16.10 (step @p103 :rule implies_elim :premises (@p102)) % 15.86/16.10 (step @p104 :rule eq_resolve :premises (@p103 @p82)) % 15.86/16.10 (step @p105 :rule chain_m_resolution :premises (@p104 @p79) :args (@t155 @t164 (@list @t125))) % 15.86/16.10 (step @p106 :rule bool-double-not-elim :args (@t152)) % 15.86/16.10 (step @p107 :rule refl :args (@t154)) % 15.86/16.10 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or @t154 (not @t153)))) % 15.86/16.10 (step @p109 :rule cnf_or_neg :args (@t154 0)) % 15.86/16.10 (step @p110 :rule eq_resolve :premises (@p109 @p108)) % 15.86/16.10 (step @p111 :rule reordering :premises (@p110) :args ((or @t152 @t154))) % 15.86/16.10 (step @p112 :rule chain_m_resolution :premises (@p111 @p105) :args (@t152 @t164 @t165)) % 15.86/16.10 (step @p113 :rule bool-double-not-elim 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@p546 :rule skolemize :premises (@p679)) % 15.86/16.10 (step-pop @p680 :rule scope :premises (@p546)) % 15.86/16.10 (step @p547 :rule process_scope :premises (@p680) :args (@t360)) % 15.86/16.10 (step @p549 :rule eq_resolve :premises (@p547 @p544)) % 15.86/16.10 (step @p550 :rule implies_elim :premises (@p549)) % 15.86/16.10 (step @p551 :rule eq_resolve :premises (@p550 @p537)) % 15.86/16.10 (step @p552 :rule cnf_or_neg :args (@t354 1)) % 15.86/16.10 (step @p553 :rule bool-double-not-elim :args (@t199)) % 15.86/16.10 (step @p554 :rule refl :args (@t354)) % 15.86/16.10 (step @p555 :rule nary_cong :premises (@p554 @p553) :args ((or @t354 (not @t200)))) % 15.86/16.10 (step @p556 :rule cnf_or_neg :args (@t354 0)) % 15.86/16.10 (step @p557 :rule eq_resolve :premises (@p556 @p555)) % 15.86/16.10 (step @p558 :rule reordering :premises (@p557) :args ((or @t199 @t354))) % 15.86/16.10 (step @p559 :rule cnf_or_pos :args (@t363)) % 15.86/16.10 (step @p560 :rule reordering :premises (@p559) :args ((or @t200 @t361 @t362 @t364))) % 15.86/16.10 (step @p561 :rule cnf_and_pos :args (@t352 1)) % 15.86/16.10 (step @p562 :rule reordering :premises (@p561) :args ((or @t350 @t365))) % 15.86/16.10 (step @p563 :rule cnf_equiv_neg1 :args (@t353)) % 15.86/16.10 (step @p564 :rule reordering :premises (@p563) :args ((or @t352 @t349 @t353))) % 15.86/16.10 (step @p565 :rule cnf_and_pos :args (@t349 0)) % 15.86/16.10 (step @p566 :rule reordering :premises (@p565) :args ((or @t348 @t366))) % 15.86/16.10 (step @p567 :rule refl :args (@t367)) % 15.86/16.10 (step @p568 :rule refl :args (@t361)) % 15.86/16.10 (step @p569 :rule bool-double-not-elim :args (@t261)) % 15.86/16.10 (step @p570 :rule nary_cong :premises (@p569 @p568 @p567) :args ((or (not @t265) @t361 @t367))) % 15.86/16.10 (assume-push @p681 @t351) % 15.86/16.10 (assume-push @p682 @t348) % 15.86/16.10 (assume-push @p683 @t265) % 15.86/16.10 (step @p574 :rule evaluate :args ((= false true))) % 15.86/16.10 (step @p575 :rule symm :premises (@p681)) % 15.86/16.10 (step @p576 :rule trans :premises (@p682 @p575)) % 15.86/16.10 (step @p577 :rule symm :premises (@p576)) % 15.86/16.10 (step @p578 :rule true_intro :premises (@p577)) % 15.86/16.10 (step @p579 :rule false_intro :premises (@p683)) % 15.86/16.10 (step @p580 :rule symm :premises (@p579)) % 15.86/16.10 (step @p581 :rule trans :premises (@p580 @p578)) % 15.86/16.10 (step @p582 false :rule eq_resolve :premises (@p581 @p574)) % 15.86/16.10 (step-pop @p684 :rule scope :premises (@p582)) % 15.86/16.10 (step-pop @p685 :rule scope :premises (@p684)) % 15.86/16.10 (step-pop @p686 :rule scope :premises (@p685)) % 15.86/16.10 (step @p583 :rule process_scope :premises (@p686) :args (false)) % 15.86/16.10 (assume-push @p687 @t265) % 15.86/16.10 (assume-push @p688 @t351) % 15.86/16.10 (assume-push @p689 @t348) % 15.86/16.10 (step @p590 :rule and_intro :premises (@p688 @p689 @p687)) % 15.86/16.10 (step-pop @p690 :rule scope :premises (@p590)) % 15.86/16.10 (step-pop @p691 :rule scope :premises (@p690)) % 15.86/16.10 (step-pop @p692 :rule scope :premises (@p691)) % 15.86/16.10 (step @p591 :rule process_scope :premises (@p692) :args (@t368)) % 15.86/16.10 (step @p595 :rule implies_elim :premises (@p591)) % 15.86/16.10 (step @p596 :rule resolution :premises (@p595 @p583) :args (true @t368)) % 15.86/16.10 (step @p597 :rule not_and :premises (@p596)) % 15.86/16.10 (step @p598 :rule eq_resolve :premises (@p597 @p570)) % 15.86/16.10 (step @p599 :rule chain_m_resolution :premises (@p598 @p566 @p564 @p562 @p560 @p558 @p552 @p551 @p510 @p534 @p490 @p500 @p497 @p530 @p303 @p300 @p297 @p526 @p507 @p504 @p522 @p494 @p335 @p332 @p518 @p213 @p329 @p294 @p117 @p291 @p288 @p111 @p104 @p79 @p514 @p285 @p275 @p261) :args ((or @t261 @t361 @t364) (@list false false true true false true true true false false false false false false false false false false false false false false false false false false false false false false false true true false false false false) (@list @t348 @t349 @t352 @t350 @t199 @t353 @t354 @t191 @t343 @t327 @t334 @t335 @t336 @t253 @t254 @t236 @t256 @t337 @t338 @t339 @t346 @t267 @t268 @t270 @t345 @t237 @t243 @t148 @t239 @t246 @t152 @t154 @t125 @t247 @t344 @t244 @t242))) % 15.86/16.10 (step @p600 :rule cnf_and_pos :args (@t352 0)) % 15.86/16.10 (step @p601 :rule reordering :premises (@p600) :args ((or @t351 @t365))) % 15.86/16.10 (step @p602 :rule cnf_and_pos :args (@t349 1)) % 15.86/16.10 (step @p603 :rule reordering :premises (@p602) :args ((or @t347 @t366))) % 15.86/16.10 (step @p604 :rule cnf_or_pos :args (@t370)) % 15.86/16.10 (step @p605 :rule reordering :premises (@p604) :args ((or @t200 @t367 @t369 @t371))) % 15.86/16.10 (step @p606 :rule chain_m_resolution :premises (@p605 @p603 @p566 @p564 @p552 @p558 @p601 @p551 @p599 @p510 @p508 @p501 @p491) :args ((or @t261 @t364 @t371) (@list false false false true false true true true true false false false) (@list @t347 @t348 @t349 @t353 @t199 @t352 @t354 @t351 @t191 @t337 @t334 @t343))) % 15.86/16.10 (step @p607 :rule chain_m_resolution :premises (@p606 @p441 @p200 @p187 @p174 @p167) :args (@t189 (@list true false false false true) (@list @t261 @t363 @t370 @t143 @t146))) % 15.86/16.10 (step @p608 :rule refl :args (@t380)) % 15.86/16.10 (step @p609 :rule bool-double-not-elim :args (@t145)) % 15.86/16.10 (step @p610 :rule nary_cong :premises (@p609 @p608) :args ((or (not @t189) @t380))) % 15.86/16.10 (step @p611 :rule eq-symm :args (@t372 @t141)) % 15.86/16.10 (step @p612 :rule cong :premises (@p611) :args (@t381)) % 15.86/16.10 (step @p613 :rule eq-symm :args (@t375 @t139)) % 15.86/16.10 (step @p614 :rule cong :premises (@p613) :args (@t382)) % 15.86/16.10 (step @p615 :rule refl :args (@t378)) % 15.86/16.10 (step @p616 :rule nary_cong :premises (@p615 @p614 @p612) :args (@t383)) % 15.86/16.10 (step @p617 :rule cong :premises (@p616) :args (@t384)) % 15.86/16.10 (step @p618 :rule cong :premises (@p169 @p617) :args ((=> @t189 @t384))) % 15.86/16.10 (assume-push @p693 @t189) % 15.86/16.10 (step @p620 :rule skolemize :premises (@p693)) % 15.86/16.10 (step-pop @p694 :rule scope :premises (@p620)) % 15.86/16.10 (step @p621 :rule process_scope :premises (@p694) :args (@t384)) % 15.86/16.10 (step @p623 :rule eq_resolve :premises (@p621 @p618)) % 15.86/16.10 (step @p624 :rule implies_elim :premises (@p623)) % 15.86/16.10 (step @p625 :rule eq_resolve :premises (@p624 @p610)) % 15.86/16.10 (step @p626 :rule chain_m_resolution :premises (@p625 @p607) :args (@t380 @t164 (@list @t145))) % 15.86/16.10 (step @p627 :rule bool-double-not-elim :args (@t373)) % 15.86/16.10 (step @p628 :rule refl :args (@t379)) % 15.86/16.10 (step @p629 :rule nary_cong :premises (@p628 @p627) :args ((or @t379 (not @t374)))) % 15.86/16.10 (step @p630 :rule cnf_or_neg :args (@t379 2)) % 15.86/16.10 (step @p631 :rule eq_resolve :premises (@p630 @p629)) % 15.86/16.10 (step @p632 :rule reordering :premises (@p631) :args ((or @t373 @t379))) % 15.86/16.10 (step @p633 :rule chain_m_resolution :premises (@p632 @p626) :args (@t373 @t164 @t385)) % 15.86/16.10 (step @p634 :rule bool-double-not-elim :args (@t376)) % 15.86/16.10 (step @p635 :rule nary_cong :premises (@p628 @p634) :args ((or @t379 (not @t377)))) % 15.86/16.10 (step @p636 :rule cnf_or_neg :args (@t379 1)) % 15.86/16.10 (step @p637 :rule eq_resolve :premises (@p636 @p635)) % 15.86/16.10 (step @p638 :rule reordering :premises (@p637) :args ((or @t376 @t379))) % 15.86/16.10 (step @p639 :rule chain_m_resolution :premises (@p638 @p626) :args (@t376 @t164 @t385)) % 15.86/16.10 (step @p640 :rule cnf_or_pos :args (@t386)) % 15.86/16.10 (step @p641 :rule reordering :premises (@p640) :args ((or @t377 @t374 @t387))) % 15.86/16.10 (step @p642 :rule chain_m_resolution :premises (@p641 @p639 @p633) :args (@t387 @t248 (@list @t376 @t373))) % 15.86/16.10 (step @p643 :rule cnf_and_pos :args (@t388 0)) % 15.86/16.10 (step @p644 :rule reordering :premises (@p643) :args ((or @t386 @t389))) % 15.86/16.10 (step @p645 :rule chain_m_resolution :premises (@p644 @p642) :args (@t389 @t164 (@list @t386))) % 15.86/16.10 (step @p646 :rule cnf_or_pos :args (@t390)) % 15.86/16.10 (step @p647 :rule reordering :premises (@p646) :args ((or @t153 @t149 @t388 (not @t390)))) % 15.86/16.10 (step @p648 false :rule chain_m_resolution :premises (@p647 @p645 @p165 @p118 @p112) :args (false (@list true false false false) (@list @t388 @t390 @t148 @t152))) % 15.86/16.10 ) % 15.86/16.10 % SZS output end Proof % 15.86/16.10 % cvc5 exiting %------------------------------------------------------------------------------