%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRA007+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 : n016.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 35.75s 36.01s % Output : Proof 35.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRA007+2 : TPTP v9.2.1. Bugfixed v3.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 00:14:39 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 35.75/36.01 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.75/36.01 --- Run --no-e-matching --full-saturate-quant at 6... % 35.75/36.01 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.75/36.01 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.75/36.01 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.75/36.01 % SZS status Theorem % 35.75/36.01 % SZS output start Proof % 35.75/36.01 ( % 35.75/36.01 (declare-sort $$unsorted 0) % 35.75/36.01 (declare-const tptp.graph $$unsorted) % 35.75/36.01 (declare-const tptp.number_of_in (-> $$unsorted $$unsorted $$unsorted)) % 35.75/36.01 (declare-const tptp.edges $$unsorted) % 35.75/36.01 (declare-const tptp.triangle (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.75/36.01 (declare-const tptp.shortest_path (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.75/36.01 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 35.75/36.01 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 35.75/36.01 (declare-const tptp.tail_of (-> $$unsorted $$unsorted)) % 35.75/36.01 (declare-const tptp.triangles $$unsorted) % 35.75/36.01 (declare-const tptp.in_path (-> $$unsorted $$unsorted Bool)) % 35.75/36.01 (declare-const tptp.head_of (-> $$unsorted $$unsorted)) % 35.75/36.01 (declare-const tptp.sequential_pairs $$unsorted) % 35.75/36.01 (declare-const tptp.edge (-> $$unsorted Bool)) % 35.75/36.01 (declare-const tptp.path_cons (-> $$unsorted $$unsorted $$unsorted)) % 35.75/36.01 (declare-const tptp.precedes (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.75/36.01 (declare-const tptp.complete Bool) % 35.75/36.01 (declare-const tptp.path (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.75/36.01 (declare-const tptp.vertex (-> $$unsorted Bool)) % 35.75/36.01 (declare-const tptp.on_path (-> $$unsorted $$unsorted Bool)) % 35.75/36.01 (declare-const tptp.empty $$unsorted) % 35.75/36.01 (declare-const tptp.n1 $$unsorted) % 35.75/36.01 (declare-const tptp.sequential (-> $$unsorted $$unsorted Bool)) % 35.75/36.01 (declare-const tptp.length_of (-> $$unsorted $$unsorted)) % 35.75/36.01 (define @t1 () (@var "E" $$unsorted)) % 35.75/36.01 (define @t2 () (tptp.tail_of @t1)) % 35.75/36.01 (define @t3 () (tptp.head_of @t1)) % 35.75/36.01 (define @t4 () (tptp.edge @t1)) % 35.75/36.01 (define @t5 () (@list @t1)) % 35.75/36.01 (define @t6 () (and (tptp.vertex @t3) (tptp.vertex @t2))) % 35.75/36.01 (define @t7 () (forall @t5 (=> @t4 @t6))) % 35.75/36.01 (define @t8 () (@var "V1" $$unsorted)) % 35.75/36.01 (define @t9 () (= @t8 @t2)) % 35.75/36.01 (define @t10 () (@var "V2" $$unsorted)) % 35.75/36.01 (define @t11 () (= @t10 @t3)) % 35.75/36.01 (define @t12 () (and @t11 @t9)) % 35.75/36.01 (define @t13 () (and (= @t8 @t3) (= @t10 @t2))) % 35.75/36.01 (define @t14 () (xor @t13 @t12)) % 35.75/36.01 (define @t15 () (and @t4 @t14)) % 35.75/36.01 (define @t16 () (exists @t5 @t15)) % 35.75/36.01 (define @t17 () (= @t8 @t10)) % 35.75/36.01 (define @t18 () (not @t17)) % 35.75/36.01 (define @t19 () (tptp.vertex @t10)) % 35.75/36.01 (define @t20 () (tptp.vertex @t8)) % 35.75/36.01 (define @t21 () (and @t20 @t19 @t18)) % 35.75/36.01 (define @t22 () (=> @t21 @t16)) % 35.75/36.01 (define @t23 () (@list @t8 @t10)) % 35.75/36.01 (define @t24 () (forall @t23 @t22)) % 35.75/36.01 (define @t25 () (=> tptp.complete @t24)) % 35.75/36.01 (define @t26 () (@var "P" $$unsorted)) % 35.75/36.01 (define @t27 () (tptp.path @t8 @t10 @t26)) % 35.75/36.01 (define @t28 () (@var "TP" $$unsorted)) % 35.75/36.01 (define @t29 () (tptp.path_cons @t1 @t28)) % 35.75/36.01 (define @t30 () (@list @t28)) % 35.75/36.01 (define @t31 () (exists @t30 (and (tptp.path @t3 @t10 @t28) (= @t26 @t29)))) % 35.75/36.01 (define @t32 () (tptp.path_cons @t1 tptp.empty)) % 35.75/36.01 (define @t33 () (and @t11 (= @t26 @t32))) % 35.75/36.01 (define @t34 () (@list @t8 @t10 @t26)) % 35.75/36.01 (define @t35 () (and @t4 (tptp.in_path @t3 @t26) (tptp.in_path @t2 @t26))) % 35.75/36.01 (define @t36 () (tptp.on_path @t1 @t26)) % 35.75/36.01 (define @t37 () (and @t27 @t36)) % 35.75/36.01 (define @t38 () (forall (@list @t8 @t10 @t26 @t1) (=> @t37 @t35))) % 35.75/36.01 (define @t39 () (@var "V" $$unsorted)) % 35.75/36.01 (define @t40 () (@var "E2" $$unsorted)) % 35.75/36.01 (define @t41 () (@var "E1" $$unsorted)) % 35.75/36.01 (define @t42 () (tptp.edge @t40)) % 35.75/36.01 (define @t43 () (tptp.edge @t41)) % 35.75/36.01 (define @t44 () (tptp.sequential @t41 @t40)) % 35.75/36.01 (define @t45 () (@list @t41 @t40)) % 35.75/36.01 (define @t46 () (forall @t45 (= @t44 (and @t43 @t42 (not (= @t41 @t40)) (= (tptp.head_of @t41) (tptp.tail_of @t40)))))) % 35.75/36.01 (define @t47 () (tptp.precedes @t41 @t40 @t26)) % 35.75/36.01 (define @t48 () (@var "E3" $$unsorted)) % 35.75/36.01 (define @t49 () (tptp.precedes @t48 @t40 @t26)) % 35.75/36.01 (define @t50 () (tptp.sequential @t41 @t48)) % 35.75/36.01 (define @t51 () (and @t50 @t49)) % 35.75/36.01 (define @t52 () (@list @t48)) % 35.75/36.01 (define @t53 () (exists @t52 @t51)) % 35.75/36.01 (define @t54 () (or @t44 @t53)) % 35.75/36.01 (define @t55 () (tptp.on_path @t40 @t26)) % 35.75/36.01 (define @t56 () (tptp.on_path @t41 @t26)) % 35.75/36.01 (define @t57 () (and @t56 @t55 @t54)) % 35.75/36.01 (define @t58 () (=> @t57 @t47)) % 35.75/36.01 (define @t59 () (forall @t45 @t58)) % 35.75/36.01 (define @t60 () (=> @t27 @t59)) % 35.75/36.01 (define @t61 () (@list @t26 @t8 @t10)) % 35.75/36.01 (define @t62 () (forall @t61 @t60)) % 35.75/36.01 (define @t63 () (xor @t44 @t53)) % 35.75/36.01 (define @t64 () (and @t56 @t55 @t63)) % 35.75/36.01 (define @t65 () (=> @t47 @t64)) % 35.75/36.01 (define @t66 () (forall @t45 @t65)) % 35.75/36.01 (define @t67 () (=> @t27 @t66)) % 35.75/36.01 (define @t68 () (forall @t61 @t67)) % 35.75/36.01 (define @t69 () (tptp.length_of @t26)) % 35.75/36.01 (define @t70 () (@var "SP" $$unsorted)) % 35.75/36.01 (define @t71 () (tptp.less_or_equal (tptp.length_of @t70) @t69)) % 35.75/36.01 (define @t72 () (@list @t26)) % 35.75/36.01 (define @t73 () (forall @t72 (=> @t27 @t71))) % 35.75/36.01 (define @t74 () (tptp.path @t8 @t10 @t70)) % 35.75/36.01 (define @t75 () (and @t74 @t18 @t73)) % 35.75/36.01 (define @t76 () (tptp.shortest_path @t8 @t10 @t70)) % 35.75/36.01 (define @t77 () (= @t76 @t75)) % 35.75/36.01 (define @t78 () (forall (@list @t8 @t10 @t70) @t77)) % 35.75/36.01 (define @t79 () (not (tptp.precedes @t40 @t41 @t26))) % 35.75/36.01 (define @t80 () (tptp.head_of @t40)) % 35.75/36.01 (define @t81 () (tptp.head_of @t48)) % 35.75/36.01 (define @t82 () (= @t81 @t80)) % 35.75/36.01 (define @t83 () (tptp.tail_of @t41)) % 35.75/36.01 (define @t84 () (tptp.tail_of @t48)) % 35.75/36.01 (define @t85 () (= @t84 @t83)) % 35.75/36.01 (define @t86 () (and @t85 @t82)) % 35.75/36.01 (define @t87 () (exists @t52 @t86)) % 35.75/36.01 (define @t88 () (not @t87)) % 35.75/36.01 (define @t89 () (and @t88 @t79)) % 35.75/36.01 (define @t90 () (tptp.shortest_path @t8 @t10 @t26)) % 35.75/36.01 (define @t91 () (and @t90 @t47)) % 35.75/36.01 (define @t92 () (=> @t91 @t89)) % 35.75/36.01 (define @t93 () (@list @t8 @t10 @t41 @t40 @t26)) % 35.75/36.01 (define @t94 () (forall @t93 @t92)) % 35.75/36.01 (define @t95 () (tptp.edge @t48)) % 35.75/36.01 (define @t96 () (tptp.triangle @t41 @t40 @t48)) % 35.75/36.01 (define @t97 () (tptp.number_of_in tptp.sequential_pairs @t26)) % 35.75/36.01 (define @t98 () (@var "Things" $$unsorted)) % 35.75/36.01 (define @t99 () (@var "InThese" $$unsorted)) % 35.75/36.01 (define @t100 () (= @t84 @t80)) % 35.75/36.01 (define @t101 () (and @t95 @t100 (= @t81 @t83))) % 35.75/36.01 (define @t102 () (exists @t52 @t101)) % 35.75/36.01 (define @t103 () (=> @t91 @t102)) % 35.75/36.01 (define @t104 () (forall @t93 @t103)) % 35.75/36.01 (define @t105 () (=> tptp.complete @t104)) % 35.75/36.01 (define @t106 () (not @t105)) % 35.75/36.01 (define @t107 () (@var "BOUND_VARIABLE_7929" $$unsorted)) % 35.75/36.01 (define @t108 () (tptp.head_of @t107)) % 35.75/36.01 (define @t109 () (not (= @t108 @t80))) % 35.75/36.01 (define @t110 () (tptp.tail_of @t107)) % 35.75/36.01 (define @t111 () (not (= @t110 @t83))) % 35.75/36.01 (define @t112 () (or @t111 @t109)) % 35.75/36.01 (define @t113 () (and @t112 @t79)) % 35.75/36.01 (define @t114 () (not @t47)) % 35.75/36.01 (define @t115 () (not @t90)) % 35.75/36.01 (define @t116 () (or @t115 @t114 @t113)) % 35.75/36.01 (define @t117 () (forall (@list @t8 @t10 @t41 @t40 @t26 @t107) @t116)) % 35.75/36.01 (define @t118 () (@list @t107)) % 35.75/36.01 (define @t119 () (forall @t118 @t116)) % 35.75/36.01 (define @t120 () (forall @t118 @t79)) % 35.75/36.01 (define @t121 () (forall @t118 @t112)) % 35.75/36.01 (define @t122 () (@list @t48)) % 35.75/36.01 (define @t123 () (and @t121 @t120)) % 35.75/36.01 (define @t124 () (forall @t118 @t113)) % 35.75/36.01 (define @t125 () (or @t115 @t114 @t124)) % 35.75/36.01 (define @t126 () (forall @t52 (or (not @t85) (not @t82)))) % 35.75/36.01 (define @t127 () (and @t126 @t79)) % 35.75/36.01 (define @t128 () (or @t115 @t114 @t127)) % 35.75/36.01 (define @t129 () (or @t115 @t114)) % 35.75/36.01 (define @t130 () (not @t91)) % 35.75/36.01 (define @t131 () (forall @t52 (not @t86))) % 35.75/36.01 (define @t132 () (not @t131)) % 35.75/36.01 (define @t133 () (= @t83 @t81)) % 35.75/36.01 (define @t134 () (not @t133)) % 35.75/36.01 (define @t135 () (not @t100)) % 35.75/36.01 (define @t136 () (not @t95)) % 35.75/36.01 (define @t137 () (or @t136 @t135 @t134)) % 35.75/36.01 (define @t138 () (not (forall @t52 @t137))) % 35.75/36.01 (define @t139 () (or @t115 @t114 @t138)) % 35.75/36.01 (define @t140 () (forall @t93 @t139)) % 35.75/36.01 (define @t141 () (@quantifiers_skolemize @t140 3)) % 35.75/36.01 (define @t142 () (tptp.head_of @t141)) % 35.75/36.01 (define @t143 () (@quantifiers_skolemize @t140 2)) % 35.75/36.01 (define @t144 () (tptp.tail_of @t143)) % 35.75/36.01 (define @t145 () (not @t4)) % 35.75/36.01 (define @t146 () (forall @t5 (or @t145 (= (and (= @t3 @t142) (= @t2 @t144)) (and (= @t3 @t144) (= @t2 @t142)))))) % 35.75/36.01 (define @t147 () (@quantifiers_skolemize @t146 0)) % 35.75/36.01 (define @t148 () (@quantifiers_skolemize @t140 4)) % 35.75/36.01 (define @t149 () (@quantifiers_skolemize @t140 1)) % 35.75/36.01 (define @t150 () (@quantifiers_skolemize @t140 0)) % 35.75/36.01 (define @t151 () (and @t95 @t100 @t133)) % 35.75/36.01 (define @t152 () (forall @t52 (not @t151))) % 35.75/36.01 (define @t153 () (not @t152)) % 35.75/36.01 (define @t154 () (=> tptp.complete @t140)) % 35.75/36.01 (define @t155 () (not (= @t84 @t142))) % 35.75/36.01 (define @t156 () (forall @t52 (or @t136 @t155 (not (= @t81 @t144))))) % 35.75/36.01 (define @t157 () (not @t156)) % 35.75/36.01 (define @t158 () (tptp.precedes @t143 @t141 @t148)) % 35.75/36.01 (define @t159 () (not @t158)) % 35.75/36.01 (define @t160 () (tptp.shortest_path @t150 @t149 @t148)) % 35.75/36.01 (define @t161 () (not @t160)) % 35.75/36.01 (define @t162 () (or @t161 @t159 @t157)) % 35.75/36.01 (define @t163 () (not @t162)) % 35.75/36.01 (define @t164 () (not @t140)) % 35.75/36.01 (define @t165 () (not (= @t144 @t81))) % 35.75/36.01 (define @t166 () (or @t136 @t155 @t165)) % 35.75/36.01 (define @t167 () (forall @t52 @t166)) % 35.75/36.01 (define @t168 () (not @t167)) % 35.75/36.01 (define @t169 () (or @t161 @t159 @t168)) % 35.75/36.01 (define @t170 () (not @t169)) % 35.75/36.01 (define @t171 () (@list true)) % 35.75/36.01 (define @t172 () (@list @t162)) % 35.75/36.01 (define @t173 () (tptp.precedes @t141 @t143 @t148)) % 35.75/36.01 (define @t174 () (not @t173)) % 35.75/36.01 (define @t175 () (tptp.head_of @t147)) % 35.75/36.01 (define @t176 () (= @t142 @t175)) % 35.75/36.01 (define @t177 () (not @t176)) % 35.75/36.01 (define @t178 () (tptp.tail_of @t147)) % 35.75/36.01 (define @t179 () (= @t144 @t178)) % 35.75/36.01 (define @t180 () (not @t179)) % 35.75/36.01 (define @t181 () (or @t180 @t177)) % 35.75/36.01 (define @t182 () (and @t181 @t174)) % 35.75/36.01 (define @t183 () (or @t161 @t159 @t182)) % 35.75/36.01 (define @t184 () (@list false false false)) % 35.75/36.01 (define @t185 () (@list false)) % 35.75/36.01 (define @t186 () (and (= @t3 @t10) (= @t2 @t8))) % 35.75/36.01 (define @t187 () (and (= @t3 @t8) (= @t2 @t10))) % 35.75/36.02 (define @t188 () (not (forall @t5 (or @t145 (= @t187 @t186))))) % 35.75/36.02 (define @t189 () (not @t19)) % 35.75/36.02 (define @t190 () (not @t20)) % 35.75/36.02 (define @t191 () (or @t190 @t189 @t17 @t188)) % 35.75/36.02 (define @t192 () (forall @t23 @t191)) % 35.75/36.02 (define @t193 () (not @t18)) % 35.75/36.02 (define @t194 () (or @t190 @t189 @t193)) % 35.75/36.02 (define @t195 () (xor @t187 @t186)) % 35.75/36.02 (define @t196 () (and @t4 @t195)) % 35.75/36.02 (define @t197 () (forall @t5 (not @t196))) % 35.75/36.02 (define @t198 () (not @t197)) % 35.75/36.02 (define @t199 () (not @t36)) % 35.75/36.02 (define @t200 () (not @t27)) % 35.75/36.02 (define @t201 () (@var "BOUND_VARIABLE_7882" $$unsorted)) % 35.75/36.02 (define @t202 () (@var "BOUND_VARIABLE_7880" $$unsorted)) % 35.75/36.02 (define @t203 () (and (tptp.on_path @t202 @t26) (tptp.on_path @t201 @t26) (= (not (forall @t52 (or (not (tptp.sequential @t202 @t48)) (not (tptp.precedes @t48 @t201 @t26))))) (not (tptp.sequential @t202 @t201))))) % 35.75/36.02 (define @t204 () (not (tptp.precedes @t202 @t201 @t26))) % 35.75/36.02 (define @t205 () (or @t204 @t203)) % 35.75/36.02 (define @t206 () (or @t200 @t205)) % 35.75/36.02 (define @t207 () (forall (@list @t26 @t8 @t10 @t202 @t201) @t206)) % 35.75/36.02 (define @t208 () (@list @t202 @t201)) % 35.75/36.02 (define @t209 () (forall @t208 @t206)) % 35.75/36.02 (define @t210 () (forall @t208 @t205)) % 35.75/36.02 (define @t211 () (or @t200 @t210)) % 35.75/36.02 (define @t212 () (not @t44)) % 35.75/36.02 (define @t213 () (forall @t52 (or (not @t50) (not @t49)))) % 35.75/36.02 (define @t214 () (not @t213)) % 35.75/36.02 (define @t215 () (forall @t45 (or @t114 (and @t56 @t55 (= @t214 @t212))))) % 35.75/36.02 (define @t216 () (and @t56 @t55 (= @t212 @t214))) % 35.75/36.02 (define @t217 () (or @t114 @t216)) % 35.75/36.02 (define @t218 () (and @t56 @t55 (xor @t44 @t214))) % 35.75/36.02 (define @t219 () (forall @t52 (not @t51))) % 35.75/36.02 (define @t220 () (not @t219)) % 35.75/36.02 (define @t221 () (tptp.path @t150 @t149 @t148)) % 35.75/36.02 (define @t222 () (and @t221 (not (= @t150 @t149)) (forall @t72 (or (not (tptp.path @t150 @t149 @t26)) (tptp.less_or_equal (tptp.length_of @t148) @t69))))) % 35.75/36.02 (define @t223 () (= @t160 @t222)) % 35.75/36.02 (define @t224 () (@list false false)) % 35.75/36.02 (define @t225 () (tptp.on_path @t141 @t148)) % 35.75/36.02 (define @t226 () (tptp.on_path @t143 @t148)) % 35.75/36.02 (define @t227 () (and @t226 @t225 (= (not (forall @t52 (or (not (tptp.sequential @t143 @t48)) (not (tptp.precedes @t48 @t141 @t148))))) (not (tptp.sequential @t143 @t141))))) % 35.75/36.02 (define @t228 () (not @t221)) % 35.75/36.02 (define @t229 () (or @t228 @t159 @t227)) % 35.75/36.02 (define @t230 () (not @t227)) % 35.75/36.02 (define @t231 () (@list @t227)) % 35.75/36.02 (define @t232 () (tptp.tail_of @t141)) % 35.75/36.02 (define @t233 () (tptp.edge @t141)) % 35.75/36.02 (define @t234 () (and @t233 (tptp.in_path @t142 @t148) (tptp.in_path @t232 @t148))) % 35.75/36.02 (define @t235 () (not @t225)) % 35.75/36.02 (define @t236 () (or @t228 @t235 @t234)) % 35.75/36.02 (define @t237 () (tptp.vertex @t142)) % 35.75/36.02 (define @t238 () (and @t237 (tptp.vertex @t232))) % 35.75/36.02 (define @t239 () (not @t233)) % 35.75/36.02 (define @t240 () (or @t239 @t238)) % 35.75/36.02 (define @t241 () (tptp.head_of @t143)) % 35.75/36.02 (define @t242 () (tptp.edge @t143)) % 35.75/36.02 (define @t243 () (and @t242 (tptp.in_path @t241 @t148) (tptp.in_path @t144 @t148))) % 35.75/36.02 (define @t244 () (not @t226)) % 35.75/36.02 (define @t245 () (or @t228 @t244 @t243)) % 35.75/36.02 (define @t246 () (tptp.vertex @t144)) % 35.75/36.02 (define @t247 () (and (tptp.vertex @t241) @t246)) % 35.75/36.02 (define @t248 () (not @t242)) % 35.75/36.02 (define @t249 () (or @t248 @t247)) % 35.75/36.02 (define @t250 () (= @t142 @t144)) % 35.75/36.02 (define @t251 () (not (= @t141 @t143))) % 35.75/36.02 (define @t252 () (and @t233 @t242 @t251 @t250)) % 35.75/36.02 (define @t253 () (tptp.sequential @t141 @t143)) % 35.75/36.02 (define @t254 () (= @t253 @t252)) % 35.75/36.02 (define @t255 () (= @t143 @t141)) % 35.75/36.02 (define @t256 () (not @t255)) % 35.75/36.02 (define @t257 () (and @t233 @t242 @t256 @t250)) % 35.75/36.02 (define @t258 () (= @t253 @t257)) % 35.75/36.02 (define @t259 () (@var "BOUND_VARIABLE_7839" $$unsorted)) % 35.75/36.02 (define @t260 () (@var "BOUND_VARIABLE_7837" $$unsorted)) % 35.75/36.02 (define @t261 () (tptp.precedes @t260 @t259 @t26)) % 35.75/36.02 (define @t262 () (@var "BOUND_VARIABLE_7841" $$unsorted)) % 35.75/36.02 (define @t263 () (and (not (tptp.sequential @t260 @t259)) (or (not (tptp.sequential @t260 @t262)) (not (tptp.precedes @t262 @t259 @t26))))) % 35.75/36.02 (define @t264 () (not (tptp.on_path @t259 @t26))) % 35.75/36.02 (define @t265 () (not (tptp.on_path @t260 @t26))) % 35.75/36.02 (define @t266 () (or @t265 @t264 @t263 @t261)) % 35.75/36.02 (define @t267 () (or @t200 @t266)) % 35.75/36.02 (define @t268 () (forall (@list @t26 @t8 @t10 @t260 @t259 @t262) @t267)) % 35.75/36.02 (define @t269 () (@list @t260 @t259 @t262)) % 35.75/36.02 (define @t270 () (forall @t269 @t267)) % 35.75/36.02 (define @t271 () (forall @t269 @t266)) % 35.75/36.02 (define @t272 () (@var "BOUND_VARIABLE_7822" $$unsorted)) % 35.75/36.02 (define @t273 () (or @t200 @t271)) % 35.75/36.02 (define @t274 () (or (not (tptp.sequential @t41 @t272)) (not (tptp.precedes @t272 @t40 @t26)))) % 35.75/36.02 (define @t275 () (and @t212 @t274)) % 35.75/36.02 (define @t276 () (not @t55)) % 35.75/36.02 (define @t277 () (not @t56)) % 35.75/36.02 (define @t278 () (or @t277 @t276 @t275 @t47)) % 35.75/36.02 (define @t279 () (forall (@list @t41 @t40 @t272) @t278)) % 35.75/36.02 (define @t280 () (@list @t272)) % 35.75/36.02 (define @t281 () (forall @t280 @t278)) % 35.75/36.02 (define @t282 () (forall @t280 @t274)) % 35.75/36.02 (define @t283 () (forall @t280 @t212)) % 35.75/36.02 (define @t284 () (and @t283 @t282)) % 35.75/36.02 (define @t285 () (forall @t280 @t275)) % 35.75/36.02 (define @t286 () (or @t277 @t276 @t285 @t47)) % 35.75/36.02 (define @t287 () (and @t212 @t213)) % 35.75/36.02 (define @t288 () (or @t277 @t276 @t287 @t47)) % 35.75/36.02 (define @t289 () (or @t44 @t214)) % 35.75/36.02 (define @t290 () (not @t289)) % 35.75/36.02 (define @t291 () (or @t277 @t276 @t290)) % 35.75/36.02 (define @t292 () (and @t56 @t55 @t289)) % 35.75/36.02 (define @t293 () (tptp.precedes @t141 @t141 @t148)) % 35.75/36.02 (define @t294 () (not @t293)) % 35.75/36.02 (define @t295 () (and (or (not (= @t232 (tptp.tail_of @t148))) (not (= @t142 (tptp.head_of @t148)))) @t294)) % 35.75/36.02 (define @t296 () (or @t161 @t294 @t295)) % 35.75/36.02 (define @t297 () (not @t253)) % 35.75/36.02 (define @t298 () (or @t297 @t159)) % 35.75/36.02 (define @t299 () (and (not (tptp.sequential @t141 @t141)) @t298)) % 35.75/36.02 (define @t300 () (or @t228 @t235 @t235 @t299 @t293)) % 35.75/36.02 (define @t301 () (not @t257)) % 35.75/36.02 (define @t302 () (@quantifiers_skolemize (forall @t5 (or @t145 (not (= @t2 @t150)) (= (and (= @t3 @t149) (= @t32 @t148)) (not (forall @t30 (or (not (tptp.path @t3 @t149 @t28)) (not (= @t29 @t148)))))))) 0)) % 35.75/36.02 (define @t303 () (and (or (not (= @t144 (tptp.tail_of @t302))) (not (= @t142 (tptp.head_of @t302)))) @t174)) % 35.75/36.02 (define @t304 () (or @t161 @t159 @t303)) % 35.75/36.02 (define @t305 () (not @t250)) % 35.75/36.02 (define @t306 () (not @t146)) % 35.75/36.02 (define @t307 () (not @t246)) % 35.75/36.02 (define @t308 () (not @t237)) % 35.75/36.02 (define @t309 () (or @t308 @t307 @t250 @t306)) % 35.75/36.02 (define @t310 () (= @t142 @t178)) % 35.75/36.02 (define @t311 () (= @t144 @t175)) % 35.75/36.02 (define @t312 () (and @t311 @t310)) % 35.75/36.02 (define @t313 () (and @t176 @t179)) % 35.75/36.02 (define @t314 () (= @t313 @t312)) % 35.75/36.02 (define @t315 () (tptp.edge @t147)) % 35.75/36.02 (define @t316 () (not @t315)) % 35.75/36.02 (define @t317 () (or @t316 @t314)) % 35.75/36.02 (define @t318 () (not @t317)) % 35.75/36.02 (define @t319 () (= @t178 @t142)) % 35.75/36.02 (define @t320 () (= @t175 @t144)) % 35.75/36.02 (define @t321 () (and @t320 @t319)) % 35.75/36.02 (define @t322 () (and (= @t175 @t142) (= @t178 @t144))) % 35.75/36.02 (define @t323 () (= @t322 @t321)) % 35.75/36.02 (define @t324 () (or @t316 @t323)) % 35.75/36.02 (define @t325 () (not @t324)) % 35.75/36.02 (define @t326 () (@list @t317)) % 35.75/36.02 (define @t327 () (not @t312)) % 35.75/36.02 (define @t328 () (not @t320)) % 35.75/36.02 (define @t329 () (not @t319)) % 35.75/36.02 (define @t330 () (or @t316 @t329 @t328)) % 35.75/36.02 (define @t331 () (not @t311)) % 35.75/36.02 (define @t332 () (not @t310)) % 35.75/36.02 (define @t333 () (or @t316 @t332 @t331)) % 35.75/36.02 (define @t334 () (not @t313)) % 35.75/36.02 (define @t335 () (@list @t313)) % 35.75/36.02 (assume @p1 (forall @t5 (=> @t4 (not (= @t3 @t2))))) % 35.75/36.02 (assume @p2 @t7) % 35.75/36.02 (assume @p3 @t25) % 35.75/36.02 (assume @p4 (forall @t34 (=> (and @t20 @t19 (exists @t5 (and @t4 @t9 (or @t33 @t31)))) @t27))) % 35.75/36.02 (assume @p5 (forall @t34 (=> @t27 (and @t20 @t19 (exists @t5 (and @t4 @t9 (xor @t33 @t31))))))) % 35.75/36.02 (assume @p6 @t38) % 35.75/36.02 (assume @p7 (forall (@list @t8 @t10 @t26 @t39) (=> (and @t27 (tptp.in_path @t39 @t26)) (and (tptp.vertex @t39) (exists @t5 (and @t36 (or (= @t39 @t3) (= @t39 @t2)))))))) % 35.75/36.02 (assume @p8 @t46) % 35.75/36.02 (assume @p9 @t62) % 35.75/36.02 (assume @p10 @t68) % 35.75/36.02 (assume @p11 @t78) % 35.75/36.02 (assume @p12 @t94) % 35.75/36.02 (assume @p13 (forall (@list @t41 @t40 @t48) (= @t96 (and @t43 @t42 @t95 @t44 (tptp.sequential @t40 @t48) (tptp.sequential @t48 @t41))))) % 35.75/36.02 (assume @p14 (forall @t34 (=> @t27 (= @t69 (tptp.number_of_in tptp.edges @t26))))) % 35.75/36.02 (assume @p15 (forall @t34 (=> @t27 (= @t97 (tptp.minus @t69 tptp.n1))))) % 35.75/36.02 (assume @p16 (forall @t61 (=> (and @t27 (forall @t45 (=> (and @t56 @t55 @t44) (exists @t52 @t96)))) (= @t97 (tptp.number_of_in tptp.triangles @t26))))) % 35.75/36.02 (assume @p17 (forall (@list @t98 @t99) (tptp.less_or_equal (tptp.number_of_in @t98 @t99) (tptp.number_of_in @t98 tptp.graph)))) % 35.75/36.02 (assume @p18 (forall @t93 (=> @t91 (not (exists @t52 (and @t95 @t85 @t82)))))) % 35.75/36.02 (assume @p19 @t106) % 35.75/36.02 (assume @p20 true) % 35.75/36.02 (step @p21 :rule refl :args (@t79)) % 35.75/36.02 (step @p22 :rule eq-symm :args (@t108 @t80)) % 35.75/36.02 (step @p23 :rule cong :premises (@p22) :args (@t109)) % 35.75/36.02 (step @p24 :rule eq-symm :args (@t110 @t83)) % 35.75/36.02 (step @p25 :rule cong :premises (@p24) :args (@t111)) % 35.75/36.02 (step @p26 :rule nary_cong :premises (@p25 @p23) :args (@t112)) % 35.75/36.02 (step @p27 :rule nary_cong :premises (@p26 @p21) :args (@t113)) % 35.75/36.02 (step @p28 :rule refl :args (@t114)) % 35.75/36.02 (step @p29 :rule refl :args (@t115)) % 35.75/36.02 (step @p30 :rule nary_cong :premises (@p29 @p28 @p27) :args (@t116)) % 35.75/36.02 (step @p31 :rule cong :premises (@p30) :args (@t117)) % 35.75/36.02 (step @p32 :rule quant-merge-prenex :args ((= (forall @t93 @t119) @t117))) % 35.75/36.02 (step @p33 :rule quant-unused-vars :args ((= @t120 @t79))) % 35.75/36.02 (step @p34 :rule alpha_equiv :args (@t121 (@list @t107) @t122)) % 35.75/36.02 (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t123)) % 35.75/36.02 (step @p36 :rule quant-miniscope-and :args ((= @t124 @t123))) % 35.75/36.02 (step @p37 :rule trans :premises (@p36 @p35)) % 35.75/36.02 (step @p38 :rule refl :args (@t114)) % 35.75/36.02 (step @p39 :rule refl :args (@t115)) % 35.75/36.02 (step @p40 :rule nary_cong :premises (@p39 @p38 @p37) :args (@t125)) % 35.75/36.02 (step @p41 :rule quant-miniscope-or :args ((= @t119 @t125))) % 35.75/36.02 (step @p42 :rule trans :premises (@p41 @p40)) % 35.75/36.02 (step @p43 :rule symm :premises (@p42)) % 35.75/36.02 (step @p44 :rule cong :premises (@p43) :args ((forall @t93 @t128))) % 35.75/36.02 (step @p45 :rule trans :premises (@p44 @p32)) % 35.75/36.02 (step @p46 :rule trans :premises (@p45 @p31)) % 35.75/36.02 (step @p47 :rule aci_norm :args ((= (or @t129 @t127) @t128))) % 35.75/36.02 (step @p48 :rule refl :args (@t127)) % 35.75/36.02 (step @p49 :rule bool-and-de-morgan :args (@t90 @t47 true)) % 35.75/36.02 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or @t130 @t127))) % 35.75/36.02 (step @p51 :rule trans :premises (@p50 @p47)) % 35.75/36.02 (step @p52 :rule bool-impl-elim :args (@t91 @t127)) % 35.75/36.02 (step @p53 :rule trans :premises (@p52 @p51)) % 35.75/36.02 (step @p54 :rule cong :premises (@p53) :args ((forall @t93 (=> @t91 @t127)))) % 35.75/36.02 (step @p55 :rule trans :premises (@p54 @p46)) % 35.75/36.02 (step @p56 :rule bool-double-not-elim :args (@t126)) % 35.75/36.02 (step @p57 :rule bool-and-de-morgan :args (@t85 @t82 true)) % 35.75/36.02 (step @p58 :rule cong :premises (@p57) :args (@t131)) % 35.75/36.02 (step @p59 :rule cong :premises (@p58) :args (@t132)) % 35.75/36.02 (step @p60 :rule exists-elim :args ((= @t87 @t132))) % 35.75/36.02 (step @p61 :rule trans :premises (@p60 @p59)) % 35.75/36.02 (step @p62 :rule cong :premises (@p61) :args (@t88)) % 35.75/36.02 (step @p63 :rule trans :premises (@p62 @p56)) % 35.75/36.02 (step @p64 :rule nary_cong :premises (@p63 @p21) :args (@t89)) % 35.75/36.02 (step @p65 :rule refl :args (@t91)) % 35.75/36.02 (step @p66 :rule cong :premises (@p65 @p64) :args (@t92)) % 35.75/36.02 (step @p67 :rule cong :premises (@p66) :args (@t94)) % 35.75/36.02 (step @p68 :rule trans :premises (@p67 @p55)) % 35.75/36.02 (step @p69 :rule eq_resolve :premises (@p12 @p68)) % 35.75/36.02 (step @p70 :rule instantiate :premises (@p69) :args ((@list @t150 @t149 @t143 @t141 @t148 @t147))) % 35.75/36.02 (step @p71 :rule bool-impl-true2 :args (@t140)) % 35.75/36.02 (step @p72 :rule cong :premises (@p71) :args ((not (=> true @t140)))) % 35.75/36.02 (step @p73 :rule refl :args (@t140)) % 35.75/36.02 (step @p74 :rule bool-eq-true :args (tptp.complete)) % 35.75/36.02 (step @p75 :rule symm :premises (@p74)) % 35.75/36.02 (step @p76 :rule aci_norm :args ((= (or @t129 @t138) @t139))) % 35.75/36.02 (step @p77 :rule refl :args (@t138)) % 35.75/36.02 (step @p78 :rule nary_cong :premises (@p49 @p77) :args ((or @t130 @t138))) % 35.75/36.02 (step @p79 :rule trans :premises (@p78 @p76)) % 35.75/36.02 (step @p80 :rule bool-impl-elim :args (@t91 @t138)) % 35.75/36.02 (step @p81 :rule trans :premises (@p80 @p79)) % 35.75/36.02 (step @p82 :rule cong :premises (@p81) :args ((forall @t93 (=> @t91 @t138)))) % 35.75/36.02 (step @p83 :rule aci_norm :args ((= (or @t136 (or @t135 @t134)) @t137))) % 35.75/36.02 (step @p84 :rule bool-and-de-morgan :args (@t100 @t133 true)) % 35.75/36.02 (step @p85 :rule refl :args (@t136)) % 35.75/36.02 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or @t136 (not (and @t100 @t133))))) % 35.75/36.02 (step @p87 :rule bool-and-de-morgan :args (@t95 @t100 (and @t133))) % 35.75/36.02 (step @p88 :rule trans :premises (@p87 @p86)) % 35.75/36.02 (step @p89 :rule trans :premises (@p88 @p83)) % 35.75/36.02 (step @p90 :rule cong :premises (@p89) :args (@t152)) % 35.75/36.02 (step @p91 :rule cong :premises (@p90) :args (@t153)) % 35.75/36.02 (step @p92 :rule exists-elim :args ((= (exists @t52 @t151) @t153))) % 35.75/36.02 (step @p93 :rule trans :premises (@p92 @p91)) % 35.75/36.02 (step @p94 :rule eq-symm :args (@t81 @t83)) % 35.75/36.02 (step @p95 :rule refl :args (@t100)) % 35.75/36.02 (step @p96 :rule refl :args (@t95)) % 35.75/36.02 (step @p97 :rule nary_cong :premises (@p96 @p95 @p94) :args (@t101)) % 35.75/36.02 (step @p98 :rule cong :premises (@p97) :args (@t102)) % 35.75/36.02 (step @p99 :rule trans :premises (@p98 @p93)) % 35.75/36.02 (step @p100 :rule cong :premises (@p65 @p99) :args (@t103)) % 35.75/36.02 (step @p101 :rule cong :premises (@p100) :args (@t104)) % 35.75/36.02 (step @p102 :rule trans :premises (@p101 @p82)) % 35.75/36.02 (step @p103 :rule refl :args (tptp.complete)) % 35.75/36.02 (step @p104 :rule cong :premises (@p103 @p102) :args (@t105)) % 35.75/36.02 (step @p105 :rule cong :premises (@p104) :args (@t106)) % 35.75/36.02 (step @p106 :rule eq_resolve :premises (@p19 @p105)) % 35.75/36.02 (step @p107 :rule not_implies_elim1 :premises (@p106)) % 35.75/36.02 (step @p108 :rule eq_resolve :premises (@p107 @p75)) % 35.75/36.02 (step @p109 :rule cong :premises (@p108 @p73) :args (@t154)) % 35.75/36.02 (step @p110 :rule cong :premises (@p109) :args ((not @t154))) % 35.75/36.02 (step @p111 :rule trans :premises (@p110 @p72)) % 35.75/36.02 (step @p112 :rule trans :premises (@p105 @p111)) % 35.75/36.02 (step @p113 :rule eq_resolve :premises (@p19 @p112)) % 35.75/36.02 (step @p114 :rule refl :args (@t163)) % 35.75/36.02 (step @p115 :rule bool-double-not-elim :args (@t140)) % 35.75/36.02 (step @p116 :rule nary_cong :premises (@p115 @p114) :args ((or (not @t164) @t163))) % 35.75/36.02 (step @p117 :rule eq-symm :args (@t144 @t81)) % 35.75/36.02 (step @p118 :rule cong :premises (@p117) :args (@t165)) % 35.75/36.02 (step @p119 :rule refl :args (@t155)) % 35.75/36.02 (step @p120 :rule refl :args (@t136)) % 35.75/36.02 (step @p121 :rule nary_cong :premises (@p120 @p119 @p118) :args (@t166)) % 35.75/36.02 (step @p122 :rule cong :premises (@p121) :args (@t167)) % 35.75/36.02 (step @p123 :rule cong :premises (@p122) :args (@t168)) % 35.75/36.02 (step @p124 :rule refl :args (@t159)) % 35.75/36.02 (step @p125 :rule refl :args (@t161)) % 35.75/36.02 (step @p126 :rule nary_cong :premises (@p125 @p124 @p123) :args (@t169)) % 35.75/36.02 (step @p127 :rule cong :premises (@p126) :args (@t170)) % 35.75/36.02 (step @p128 :rule refl :args (@t164)) % 35.75/36.02 (step @p129 :rule cong :premises (@p128 @p127) :args ((=> @t164 @t170))) % 35.75/36.02 (assume-push @p526 @t164) % 35.75/36.02 (step @p131 :rule skolemize :premises (@p113)) % 35.75/36.02 (step-pop @p527 :rule scope :premises (@p131)) % 35.75/36.02 (step @p132 :rule process_scope :premises (@p527) :args (@t170)) % 35.75/36.02 (step @p134 :rule eq_resolve :premises (@p132 @p129)) % 35.75/36.02 (step @p135 :rule implies_elim :premises (@p134)) % 35.75/36.02 (step @p136 :rule eq_resolve :premises (@p135 @p116)) % 35.75/36.02 (step @p137 :rule chain_m_resolution :premises (@p136 @p113) :args (@t163 @t171 (@list @t140))) % 35.75/36.02 (step @p138 :rule bool-double-not-elim :args (@t158)) % 35.75/36.02 (step @p139 :rule refl :args (@t162)) % 35.75/36.02 (step @p140 :rule nary_cong :premises (@p139 @p138) :args ((or @t162 (not @t159)))) % 35.75/36.02 (step @p141 :rule cnf_or_neg :args (@t162 1)) % 35.75/36.02 (step @p142 :rule eq_resolve :premises (@p141 @p140)) % 35.75/36.02 (step @p143 :rule reordering :premises (@p142) :args ((or @t158 @t162))) % 35.75/36.02 (step @p144 :rule chain_m_resolution :premises (@p143 @p137) :args (@t158 @t171 @t172)) % 35.75/36.02 (step @p145 :rule bool-double-not-elim :args (@t160)) % 35.75/36.02 (step @p146 :rule nary_cong :premises (@p139 @p145) :args ((or @t162 (not @t161)))) % 35.75/36.02 (step @p147 :rule cnf_or_neg :args (@t162 0)) % 35.75/36.02 (step @p148 :rule eq_resolve :premises (@p147 @p146)) % 35.75/36.02 (step @p149 :rule reordering :premises (@p148) :args ((or @t160 @t162))) % 35.75/36.02 (step @p150 :rule chain_m_resolution :premises (@p149 @p137) :args (@t160 @t171 @t172)) % 35.75/36.02 (step @p151 :rule cnf_or_pos :args (@t183)) % 35.75/36.02 (step @p152 :rule reordering :premises (@p151) :args ((or @t161 @t159 @t182 (not @t183)))) % 35.75/36.02 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p144 @p70) :args (@t182 @t184 (@list @t160 @t158 @t183))) % 35.75/36.02 (step @p154 :rule cnf_and_pos :args (@t182 0)) % 35.75/36.02 (step @p155 :rule reordering :premises (@p154) :args ((or @t181 (not @t182)))) % 35.75/36.02 (step @p156 :rule chain_m_resolution :premises (@p155 @p153) :args (@t181 @t185 (@list @t182))) % 35.75/36.02 (step @p157 :rule bool-impl-true2 :args (@t192)) % 35.75/36.02 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bool-or-de-morgan :args (@t44 @t214 false)) % 35.75/36.02 (step @p371 :rule trans :premises (@p370 @p369)) % 35.75/36.02 (step @p372 :rule nary_cong :premises (@p359 @p358 @p371) :args (@t291)) % 35.75/36.02 (step @p373 :rule aci_norm :args ((= (or @t277 (or @t276 @t290)) @t291))) % 35.75/36.02 (step @p374 :rule bool-and-de-morgan :args (@t55 @t289 true)) % 35.75/36.02 (step @p375 :rule nary_cong :premises (@p359 @p374) :args ((or @t277 (not (and @t55 @t289))))) % 35.75/36.02 (step @p376 :rule bool-and-de-morgan :args (@t56 @t55 (and @t289))) % 35.75/36.02 (step @p377 :rule trans :premises (@p376 @p375)) % 35.75/36.02 (step @p378 :rule trans :premises (@p377 @p373)) % 35.75/36.02 (step @p379 :rule trans :premises (@p378 @p372)) % 35.75/36.02 (step @p380 :rule nary_cong :premises (@p379 @p352) :args ((or (not @t292) @t47))) % 35.75/36.02 (step @p381 :rule trans :premises (@p380 @p366)) % 35.75/36.02 (step @p382 :rule bool-impl-elim :args (@t292 @t47)) % 35.75/36.02 (step @p383 :rule trans :premises (@p382 @p381)) % 35.75/36.02 (step @p384 :rule cong :premises (@p383) :args ((forall @t45 (=> @t292 @t47)))) % 35.75/36.02 (step @p385 :rule trans :premises (@p384 @p365)) % 35.75/36.02 (step @p386 :rule nary_cong :premises (@p256 @p255) :args (@t54)) % 35.75/36.02 (step @p387 :rule nary_cong :premises (@p238 @p237 @p386) :args (@t57)) % 35.75/36.02 (step @p388 :rule cong :premises (@p387 @p259) :args (@t58)) % 35.75/36.02 (step @p389 :rule cong :premises (@p388) :args (@t59)) % 35.75/36.02 (step @p390 :rule trans :premises (@p389 @p385)) % 35.75/36.02 (step @p391 :rule cong :premises (@p263 @p390) :args (@t60)) % 35.75/36.02 (step @p392 :rule cong :premises (@p391) :args (@t62)) % 35.75/36.02 (step @p393 :rule trans :premises (@p392 @p350)) % 35.75/36.02 (step @p394 :rule eq_resolve :premises (@p9 @p393)) % 35.75/36.02 (step @p395 :rule instantiate :premises (@p394) :args ((@list @t148 @t150 @t149 @t141 @t141 @t143))) % 35.75/36.02 (step @p396 :rule cnf_and_pos :args (@t295 1)) % 35.75/36.02 (step @p397 :rule reordering :premises (@p396) :args ((or @t294 (not @t295)))) % 35.75/36.02 (step @p398 :rule instantiate :premises (@p69) :args ((@list @t150 @t149 @t141 @t141 @t148 @t148))) % 35.75/36.02 (step @p399 :rule cnf_or_pos :args (@t296)) % 35.75/36.02 (step @p400 :rule reordering :premises (@p399) :args ((or @t161 @t294 @t295 (not @t296)))) % 35.75/36.02 (step @p401 :rule chain_m_resolution :premises (@p400 @p398 @p150 @p397) :args (@t294 (@list false false true) (@list @t296 @t160 @t295))) % 35.75/36.02 (step @p402 :rule cnf_or_pos :args (@t300)) % 35.75/36.02 (step @p403 :rule factoring :premises (@p402)) % 35.75/36.02 (step @p404 :rule reordering :premises (@p403) :args ((or @t228 @t235 @t299 @t293 (not @t300)))) % 35.75/36.02 (step @p405 :rule chain_m_resolution :premises (@p404 @p284 @p290 @p401 @p395) :args (@t299 (@list false false true false) (@list @t221 @t225 @t293 @t300))) % 35.75/36.02 (step @p406 :rule cnf_and_pos :args (@t299 1)) % 35.75/36.02 (step @p407 :rule reordering :premises (@p406) :args ((or @t298 (not @t299)))) % 35.75/36.02 (step @p408 :rule chain_m_resolution :premises (@p407 @p405) :args (@t298 @t185 (@list @t299))) % 35.75/36.02 (step @p409 :rule cnf_or_pos :args (@t298)) % 35.75/36.02 (step @p410 :rule reordering :premises (@p409) :args ((or @t159 @t297 (not @t298)))) % 35.75/36.02 (step @p411 :rule chain_m_resolution :premises (@p410 @p144 @p408) :args (@t297 @t224 (@list @t158 @t298))) % 35.75/36.02 (step @p412 :rule cnf_equiv_pos2 :args (@t258)) % 35.75/36.02 (step @p413 :rule reordering :premises (@p412) :args ((or @t253 @t301 (not @t258)))) % 35.75/36.02 (step @p414 :rule chain_m_resolution :premises (@p413 @p411 @p336) :args (@t301 (@list true false) (@list @t253 @t258))) % 35.75/36.02 (step @p415 :rule instantiate :premises (@p69) :args ((@list @t150 @t149 @t143 @t141 @t148 @t302))) % 35.75/36.02 (step @p416 :rule cnf_or_pos :args (@t304)) % 35.75/36.02 (step @p417 :rule reordering :premises (@p416) :args ((or @t161 @t159 @t303 (not @t304)))) % 35.75/36.02 (step @p418 :rule chain_m_resolution :premises (@p417 @p150 @p144 @p415) :args (@t303 @t184 (@list @t160 @t158 @t304))) % 35.75/36.02 (step @p419 :rule cnf_and_pos :args (@t303 1)) % 35.75/36.02 (step @p420 :rule reordering :premises (@p419) :args ((or @t174 (not @t303)))) % 35.75/36.02 (step @p421 :rule chain_m_resolution :premises (@p420 @p418) :args (@t174 @t185 (@list @t303))) % 35.75/36.02 (step @p422 :rule bool-double-not-elim :args (@t173)) % 35.75/36.02 (step @p423 :rule refl :args (@t256)) % 35.75/36.02 (step @p424 :rule nary_cong :premises (@p124 @p423 @p422) :args ((or @t159 @t256 (not @t174)))) % 35.75/36.02 (assume-push @p530 @t158) % 35.75/36.02 (assume-push @p531 @t255) % 35.75/36.02 (assume-push @p532 @t174) % 35.75/36.02 (step @p428 :rule evaluate :args ((= false true))) % 35.75/36.02 (step @p429 :rule true_intro :premises (@p144)) % 35.75/36.02 (step @p430 :rule refl :args (@t148)) % 35.75/36.02 (step @p431 :rule symm :premises (@p531)) % 35.75/36.02 (step @p432 :rule cong :premises (@p431 @p531 @p430) :args (@t173)) % 35.75/36.02 (step @p433 :rule false_intro :premises (@p421)) % 35.75/36.02 (step @p434 :rule symm :premises (@p433)) % 35.75/36.02 (step @p435 :rule trans :premises (@p434 @p432 @p429)) % 35.75/36.02 (step @p436 false :rule eq_resolve :premises (@p435 @p428)) % 35.75/36.02 (step-pop @p533 :rule scope :premises (@p436)) % 35.75/36.02 (step-pop @p534 :rule scope :premises (@p533)) % 35.75/36.02 (step-pop @p535 :rule scope :premises (@p534)) % 35.75/36.02 (step @p437 :rule process_scope :premises (@p535) :args (false)) % 35.75/36.02 (step @p441 :rule not_and :premises (@p437)) % 35.75/36.02 (step @p442 :rule eq_resolve :premises (@p441 @p424)) % 35.75/36.02 (step @p443 :rule chain_m_resolution :premises (@p442 @p144 @p421) :args (@t256 (@list false true) (@list @t158 @t173))) % 35.75/36.02 (step @p444 :rule refl :args (@t305)) % 35.75/36.02 (step @p445 :rule bool-double-not-elim :args (@t255)) % 35.75/36.02 (step @p446 :rule refl :args (@t248)) % 35.75/36.02 (step @p447 :rule refl :args (@t239)) % 35.75/36.02 (step @p448 :rule refl :args (@t257)) % 35.75/36.02 (step @p449 :rule nary_cong :premises (@p448 @p447 @p446 @p445 @p444) :args ((or @t257 @t239 @t248 (not @t256) @t305))) % 35.75/36.02 (step @p450 :rule cnf_and_neg :args (@t257)) % 35.75/36.02 (step @p451 :rule eq_resolve :premises (@p450 @p449)) % 35.75/36.02 (step @p452 :rule reordering :premises (@p451) :args ((or @t255 @t248 @t239 @t305 @t257))) % 35.75/36.02 (step @p453 :rule chain_m_resolution :premises (@p452 @p443 @p313 @p296 @p414) :args (@t305 (@list true false false true) (@list @t255 @t242 @t233 @t257))) % 35.75/36.02 (step @p454 :rule cnf_or_pos :args (@t309)) % 35.75/36.02 (step @p455 :rule reordering :premises (@p454) :args ((or @t250 @t307 @t308 @t306 (not @t309)))) % 35.75/36.02 (step @p456 :rule chain_m_resolution :premises (@p455 @p453 @p319 @p302 @p206) :args (@t306 (@list true false false false) (@list @t250 @t246 @t237 @t309))) % 35.75/36.02 (step @p457 :rule refl :args (@t318)) % 35.75/36.02 (step @p458 :rule bool-double-not-elim :args (@t146)) % 35.75/36.02 (step @p459 :rule nary_cong :premises (@p458 @p457) :args ((or (not @t306) @t318))) % 35.75/36.02 (step @p460 :rule eq-symm :args (@t178 @t142)) % 35.75/36.02 (step @p461 :rule eq-symm :args (@t175 @t144)) % 35.75/36.02 (step @p462 :rule nary_cong :premises (@p461 @p460) :args (@t321)) % 35.75/36.02 (step @p463 :rule eq-symm :args (@t178 @t144)) % 35.75/36.02 (step @p464 :rule eq-symm :args (@t175 @t142)) % 35.75/36.02 (step @p465 :rule nary_cong :premises (@p464 @p463) :args (@t322)) % 35.75/36.02 (step @p466 :rule cong :premises (@p465 @p462) :args (@t323)) % 35.75/36.02 (step @p467 :rule refl :args (@t316)) % 35.75/36.02 (step @p468 :rule nary_cong :premises (@p467 @p466) :args (@t324)) % 35.75/36.02 (step @p469 :rule cong :premises (@p468) :args (@t325)) % 35.75/36.02 (step @p470 :rule refl :args (@t306)) % 35.75/36.02 (step @p471 :rule cong :premises (@p470 @p469) :args ((=> @t306 @t325))) % 35.75/36.02 (assume-push @p536 @t306) % 35.75/36.02 (step @p473 :rule skolemize :premises (@p536)) % 35.75/36.02 (step-pop @p537 :rule scope :premises (@p473)) % 35.75/36.02 (step @p474 :rule process_scope :premises (@p537) :args (@t325)) % 35.75/36.02 (step @p476 :rule eq_resolve :premises (@p474 @p471)) % 35.75/36.02 (step @p477 :rule implies_elim :premises (@p476)) % 35.75/36.02 (step @p478 :rule eq_resolve :premises (@p477 @p459)) % 35.75/36.02 (step @p479 :rule chain_m_resolution :premises (@p478 @p456) :args (@t318 @t171 (@list @t146))) % 35.75/36.02 (step @p480 :rule cnf_or_neg :args (@t317 1)) % 35.75/36.02 (step @p481 :rule chain_m_resolution :premises (@p480 @p479) :args ((not @t314) @t171 @t326)) % 35.75/36.02 (step @p482 :rule cnf_and_pos :args (@t312 0)) % 35.75/36.02 (step @p483 :rule reordering :premises (@p482) :args ((or @t311 @t327))) % 35.75/36.02 (step @p484 :rule cnf_and_pos :args (@t312 1)) % 35.75/36.02 (step @p485 :rule reordering :premises (@p484) :args ((or @t310 @t327))) % 35.75/36.02 (step @p486 :rule bool-double-not-elim :args (@t315)) % 35.75/36.02 (step @p487 :rule refl :args (@t317)) % 35.75/36.02 (step @p488 :rule nary_cong :premises (@p487 @p486) :args ((or @t317 (not @t316)))) % 35.75/36.02 (step @p489 :rule cnf_or_neg :args (@t317 0)) % 35.75/36.02 (step @p490 :rule eq_resolve :premises (@p489 @p488)) % 35.75/36.02 (step @p491 :rule reordering :premises (@p490) :args ((or @t315 @t317))) % 35.75/36.02 (step @p492 :rule chain_m_resolution :premises (@p491 @p479) :args (@t315 @t171 @t326)) % 35.75/36.02 (step @p493 :rule bool-double-not-elim :args (@t156)) % 35.75/36.02 (step @p494 :rule nary_cong :premises (@p139 @p493) :args ((or @t162 (not @t157)))) % 35.75/36.02 (step @p495 :rule cnf_or_neg :args (@t162 2)) % 35.75/36.02 (step @p496 :rule eq_resolve :premises (@p495 @p494)) % 35.75/36.02 (step @p497 :rule reordering :premises (@p496) :args ((or @t156 @t162))) % 35.75/36.02 (step @p498 :rule chain_m_resolution :premises (@p497 @p137) :args (@t156 @t171 @t172)) % 35.75/36.02 (step @p499 :rule cong :premises (@p461) :args (@t328)) % 35.75/36.02 (step @p500 :rule cong :premises (@p460) :args (@t329)) % 35.75/36.02 (step @p501 :rule nary_cong :premises (@p467 @p500 @p499) :args (@t330)) % 35.75/36.02 (step @p502 :rule refl :args (@t156)) % 35.75/36.02 (step @p503 :rule cong :premises (@p502 @p501) :args ((=> @t156 @t330))) % 35.75/36.02 (assume-push @p538 @t156) % 35.75/36.02 (step @p505 :rule instantiate :premises (@p498) :args ((@list @t147))) % 35.75/36.02 (step-pop @p539 :rule scope :premises (@p505)) % 35.75/36.02 (step @p506 :rule process_scope :premises (@p539) :args (@t330)) % 35.75/36.02 (step @p508 :rule eq_resolve :premises (@p506 @p503)) % 35.75/36.02 (step @p509 :rule implies_elim :premises (@p508)) % 35.75/36.02 (step @p510 :rule chain_m_resolution :premises (@p509 @p498) :args (@t333 @t185 (@list @t156))) % 35.75/36.02 (step @p511 :rule cnf_or_pos :args (@t333)) % 35.75/36.02 (step @p512 :rule reordering :premises (@p511) :args ((or @t316 @t331 @t332 (not @t333)))) % 35.75/36.02 (step @p513 :rule chain_m_resolution :premises (@p512 @p510 @p492 @p485 @p483) :args (@t327 (@list false false false false) (@list @t333 @t315 @t310 @t311))) % 35.75/36.02 (step @p514 :rule cnf_equiv_neg1 :args (@t314)) % 35.75/36.02 (step @p515 :rule reordering :premises (@p514) :args ((or @t313 @t312 @t314))) % 35.75/36.02 (step @p516 :rule chain_m_resolution :premises (@p515 @p513 @p481) :args (@t313 (@list true true) (@list @t312 @t314))) % 35.75/36.02 (step @p517 :rule cnf_and_pos :args (@t313 0)) % 35.75/36.02 (step @p518 :rule reordering :premises (@p517) :args ((or @t176 @t334))) % 35.75/36.02 (step @p519 :rule chain_m_resolution :premises (@p518 @p516) :args (@t176 @t185 @t335)) % 35.75/36.02 (step @p520 :rule cnf_and_pos :args (@t313 1)) % 35.75/36.02 (step @p521 :rule reordering :premises (@p520) :args ((or @t179 @t334))) % 35.75/36.02 (step @p522 :rule chain_m_resolution :premises (@p521 @p516) :args (@t179 @t185 @t335)) % 35.75/36.02 (step @p523 :rule cnf_or_pos :args (@t181)) % 35.75/36.02 (step @p524 :rule reordering :premises (@p523) :args ((or @t177 @t180 (not @t181)))) % 35.75/36.02 (step @p525 false :rule chain_m_resolution :premises (@p524 @p522 @p519 @p156) :args (false @t184 (@list @t179 @t176 @t181))) % 35.75/36.02 ) % 35.75/36.02 % SZS output end Proof % 35.75/36.02 % cvc5 exiting %------------------------------------------------------------------------------