%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRA008+1 : TPTP v9.2.1. Bugfixed v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.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 34.05s 34.26s % Output : Proof 34.05s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRA008+1 : TPTP v9.2.1. Bugfixed v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n005.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 00:14:03 EDT 2026 % 0.16/0.35 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 34.05/34.26 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.05/34.26 --- Run --no-e-matching --full-saturate-quant at 6... % 34.05/34.26 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.05/34.26 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.05/34.26 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.05/34.26 % SZS status Theorem % 34.05/34.26 % SZS output start Proof % 34.05/34.26 ( % 34.05/34.26 (declare-sort $$unsorted 0) % 34.05/34.26 (declare-const tptp.graph $$unsorted) % 34.05/34.26 (declare-const tptp.number_of_in (-> $$unsorted $$unsorted $$unsorted)) % 34.05/34.26 (declare-const tptp.edges $$unsorted) % 34.05/34.26 (declare-const tptp.triangle (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.05/34.26 (declare-const tptp.shortest_path (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.05/34.26 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 34.05/34.26 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 34.05/34.26 (declare-const tptp.tail_of (-> $$unsorted $$unsorted)) % 34.05/34.26 (declare-const tptp.triangles $$unsorted) % 34.05/34.26 (declare-const tptp.in_path (-> $$unsorted $$unsorted Bool)) % 34.05/34.26 (declare-const tptp.head_of (-> $$unsorted $$unsorted)) % 34.05/34.26 (declare-const tptp.sequential_pairs $$unsorted) % 34.05/34.26 (declare-const tptp.edge (-> $$unsorted Bool)) % 34.05/34.26 (declare-const tptp.path_cons (-> $$unsorted $$unsorted $$unsorted)) % 34.05/34.26 (declare-const tptp.precedes (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.05/34.26 (declare-const tptp.complete Bool) % 34.05/34.26 (declare-const tptp.path (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.05/34.26 (declare-const tptp.vertex (-> $$unsorted Bool)) % 34.05/34.26 (declare-const tptp.on_path (-> $$unsorted $$unsorted Bool)) % 34.05/34.26 (declare-const tptp.empty $$unsorted) % 34.05/34.26 (declare-const tptp.n1 $$unsorted) % 34.05/34.26 (declare-const tptp.sequential (-> $$unsorted $$unsorted Bool)) % 34.05/34.26 (declare-const tptp.length_of (-> $$unsorted $$unsorted)) % 34.05/34.26 (define @t1 () (@var "E" $$unsorted)) % 34.05/34.26 (define @t2 () (tptp.tail_of @t1)) % 34.05/34.26 (define @t3 () (tptp.head_of @t1)) % 34.05/34.26 (define @t4 () (not (= @t3 @t2))) % 34.05/34.26 (define @t5 () (tptp.edge @t1)) % 34.05/34.26 (define @t6 () (@list @t1)) % 34.05/34.26 (define @t7 () (forall @t6 (=> @t5 @t4))) % 34.05/34.26 (define @t8 () (and (tptp.vertex @t3) (tptp.vertex @t2))) % 34.05/34.26 (define @t9 () (forall @t6 (=> @t5 @t8))) % 34.05/34.26 (define @t10 () (@var "V1" $$unsorted)) % 34.05/34.26 (define @t11 () (= @t10 @t2)) % 34.05/34.26 (define @t12 () (@var "V2" $$unsorted)) % 34.05/34.26 (define @t13 () (= @t12 @t3)) % 34.05/34.26 (define @t14 () (and @t13 @t11)) % 34.05/34.26 (define @t15 () (and (= @t10 @t3) (= @t12 @t2))) % 34.05/34.26 (define @t16 () (xor @t15 @t14)) % 34.05/34.26 (define @t17 () (and @t5 @t16)) % 34.05/34.26 (define @t18 () (exists @t6 @t17)) % 34.05/34.26 (define @t19 () (= @t10 @t12)) % 34.05/34.26 (define @t20 () (not @t19)) % 34.05/34.26 (define @t21 () (tptp.vertex @t12)) % 34.05/34.26 (define @t22 () (tptp.vertex @t10)) % 34.05/34.26 (define @t23 () (and @t22 @t21 @t20)) % 34.05/34.26 (define @t24 () (=> @t23 @t18)) % 34.05/34.26 (define @t25 () (@list @t10 @t12)) % 34.05/34.26 (define @t26 () (forall @t25 @t24)) % 34.05/34.26 (define @t27 () (=> tptp.complete @t26)) % 34.05/34.26 (define @t28 () (@var "P" $$unsorted)) % 34.05/34.26 (define @t29 () (tptp.path @t10 @t12 @t28)) % 34.05/34.26 (define @t30 () (@var "TP" $$unsorted)) % 34.05/34.26 (define @t31 () (exists (@list @t30) (and (tptp.path @t3 @t12 @t30) (= @t28 (tptp.path_cons @t1 @t30))))) % 34.05/34.26 (define @t32 () (and @t13 (= @t28 (tptp.path_cons @t1 tptp.empty)))) % 34.05/34.26 (define @t33 () (@list @t10 @t12 @t28)) % 34.05/34.26 (define @t34 () (tptp.on_path @t1 @t28)) % 34.05/34.26 (define @t35 () (@var "V" $$unsorted)) % 34.05/34.26 (define @t36 () (@var "E2" $$unsorted)) % 34.05/34.26 (define @t37 () (@var "E1" $$unsorted)) % 34.05/34.26 (define @t38 () (tptp.edge @t36)) % 34.05/34.26 (define @t39 () (tptp.edge @t37)) % 34.05/34.26 (define @t40 () (tptp.sequential @t37 @t36)) % 34.05/34.26 (define @t41 () (@list @t37 @t36)) % 34.05/34.26 (define @t42 () (forall @t41 (= @t40 (and @t39 @t38 (not (= @t37 @t36)) (= (tptp.head_of @t37) (tptp.tail_of @t36)))))) % 34.05/34.26 (define @t43 () (tptp.precedes @t37 @t36 @t28)) % 34.05/34.26 (define @t44 () (@var "E3" $$unsorted)) % 34.05/34.26 (define @t45 () (tptp.precedes @t44 @t36 @t28)) % 34.05/34.26 (define @t46 () (tptp.sequential @t37 @t44)) % 34.05/34.26 (define @t47 () (and @t46 @t45)) % 34.05/34.26 (define @t48 () (@list @t44)) % 34.05/34.26 (define @t49 () (exists @t48 @t47)) % 34.05/34.26 (define @t50 () (or @t40 @t49)) % 34.05/34.26 (define @t51 () (tptp.on_path @t36 @t28)) % 34.05/34.26 (define @t52 () (tptp.on_path @t37 @t28)) % 34.05/34.26 (define @t53 () (and @t52 @t51 @t50)) % 34.05/34.26 (define @t54 () (=> @t53 @t43)) % 34.05/34.26 (define @t55 () (forall @t41 @t54)) % 34.05/34.26 (define @t56 () (=> @t29 @t55)) % 34.05/34.26 (define @t57 () (@list @t28 @t10 @t12)) % 34.05/34.26 (define @t58 () (forall @t57 @t56)) % 34.05/34.26 (define @t59 () (xor @t40 @t49)) % 34.05/34.26 (define @t60 () (and @t52 @t51 @t59)) % 34.05/34.26 (define @t61 () (=> @t43 @t60)) % 34.05/34.26 (define @t62 () (forall @t41 @t61)) % 34.05/34.26 (define @t63 () (=> @t29 @t62)) % 34.05/34.26 (define @t64 () (forall @t57 @t63)) % 34.05/34.26 (define @t65 () (tptp.length_of @t28)) % 34.05/34.26 (define @t66 () (@var "SP" $$unsorted)) % 34.05/34.26 (define @t67 () (tptp.less_or_equal (tptp.length_of @t66) @t65)) % 34.05/34.26 (define @t68 () (@list @t28)) % 34.05/34.26 (define @t69 () (forall @t68 (=> @t29 @t67))) % 34.05/34.26 (define @t70 () (tptp.path @t10 @t12 @t66)) % 34.05/34.26 (define @t71 () (and @t70 @t20 @t69)) % 34.05/34.26 (define @t72 () (tptp.shortest_path @t10 @t12 @t66)) % 34.05/34.26 (define @t73 () (= @t72 @t71)) % 34.05/34.26 (define @t74 () (forall (@list @t10 @t12 @t66) @t73)) % 34.05/34.26 (define @t75 () (not (tptp.precedes @t36 @t37 @t28))) % 34.05/34.26 (define @t76 () (tptp.head_of @t36)) % 34.05/34.26 (define @t77 () (= (tptp.head_of @t44) @t76)) % 34.05/34.26 (define @t78 () (tptp.tail_of @t37)) % 34.05/34.26 (define @t79 () (= (tptp.tail_of @t44) @t78)) % 34.05/34.26 (define @t80 () (and @t79 @t77)) % 34.05/34.26 (define @t81 () (exists @t48 @t80)) % 34.05/34.26 (define @t82 () (not @t81)) % 34.05/34.26 (define @t83 () (and @t82 @t75)) % 34.05/34.26 (define @t84 () (tptp.shortest_path @t10 @t12 @t28)) % 34.05/34.26 (define @t85 () (and @t84 @t43)) % 34.05/34.26 (define @t86 () (=> @t85 @t83)) % 34.05/34.26 (define @t87 () (@list @t10 @t12 @t37 @t36 @t28)) % 34.05/34.26 (define @t88 () (forall @t87 @t86)) % 34.05/34.26 (define @t89 () (tptp.triangle @t37 @t36 @t44)) % 34.05/34.26 (define @t90 () (tptp.number_of_in tptp.sequential_pairs @t28)) % 34.05/34.26 (define @t91 () (exists @t48 @t89)) % 34.05/34.26 (define @t92 () (@var "Things" $$unsorted)) % 34.05/34.26 (define @t93 () (@var "InThese" $$unsorted)) % 34.05/34.26 (define @t94 () (and @t84 @t43 @t40)) % 34.05/34.26 (define @t95 () (=> @t94 @t91)) % 34.05/34.26 (define @t96 () (forall @t87 @t95)) % 34.05/34.26 (define @t97 () (=> tptp.complete @t96)) % 34.05/34.26 (define @t98 () (not @t97)) % 34.05/34.26 (define @t99 () (not (forall @t48 (not @t89)))) % 34.05/34.26 (define @t100 () (not @t40)) % 34.05/34.26 (define @t101 () (not @t43)) % 34.05/34.26 (define @t102 () (not @t84)) % 34.05/34.26 (define @t103 () (or @t102 @t101 @t100 @t99)) % 34.05/34.26 (define @t104 () (forall @t87 @t103)) % 34.05/34.26 (define @t105 () (@quantifiers_skolemize @t104 3)) % 34.05/34.26 (define @t106 () (@quantifiers_skolemize @t104 2)) % 34.05/34.26 (define @t107 () (or @t102 @t101 @t100)) % 34.05/34.26 (define @t108 () (=> tptp.complete @t104)) % 34.05/34.26 (define @t109 () (tptp.sequential @t106 @t105)) % 34.05/34.26 (define @t110 () (forall @t48 (not (tptp.triangle @t106 @t105 @t44)))) % 34.05/34.26 (define @t111 () (not @t110)) % 34.05/34.26 (define @t112 () (not @t109)) % 34.05/34.26 (define @t113 () (@quantifiers_skolemize @t104 4)) % 34.05/34.26 (define @t114 () (tptp.precedes @t106 @t105 @t113)) % 34.05/34.26 (define @t115 () (not @t114)) % 34.05/34.26 (define @t116 () (@quantifiers_skolemize @t104 1)) % 34.05/34.26 (define @t117 () (@quantifiers_skolemize @t104 0)) % 34.05/34.26 (define @t118 () (tptp.shortest_path @t117 @t116 @t113)) % 34.05/34.26 (define @t119 () (not @t118)) % 34.05/34.26 (define @t120 () (or @t119 @t115 @t112 @t111)) % 34.05/34.26 (define @t121 () (@list true)) % 34.05/34.26 (define @t122 () (@list @t120)) % 34.05/34.26 (define @t123 () (tptp.tail_of @t105)) % 34.05/34.26 (define @t124 () (tptp.head_of @t106)) % 34.05/34.26 (define @t125 () (= @t124 @t123)) % 34.05/34.26 (define @t126 () (= @t106 @t105)) % 34.05/34.26 (define @t127 () (not @t126)) % 34.05/34.26 (define @t128 () (tptp.edge @t105)) % 34.05/34.26 (define @t129 () (tptp.edge @t106)) % 34.05/34.26 (define @t130 () (and @t129 @t128 @t127 @t125)) % 34.05/34.26 (define @t131 () (= @t109 @t130)) % 34.05/34.26 (define @t132 () (@list false false)) % 34.05/34.26 (define @t133 () (not @t130)) % 34.05/34.26 (define @t134 () (@list false)) % 34.05/34.26 (define @t135 () (@list @t130)) % 34.05/34.26 (define @t136 () (tptp.head_of @t105)) % 34.05/34.26 (define @t137 () (not (= @t136 @t123))) % 34.05/34.26 (define @t138 () (not @t128)) % 34.05/34.26 (define @t139 () (or @t138 @t137)) % 34.05/34.26 (define @t140 () (not @t5)) % 34.05/34.26 (define @t141 () (forall @t6 (or @t140 @t4))) % 34.05/34.26 (define @t142 () (@list @t105)) % 34.05/34.26 (define @t143 () (= @t123 @t136)) % 34.05/34.26 (define @t144 () (not @t143)) % 34.05/34.26 (define @t145 () (or @t138 @t144)) % 34.05/34.26 (define @t146 () (and (= @t3 @t12) (= @t2 @t10))) % 34.05/34.26 (define @t147 () (and (= @t3 @t10) (= @t2 @t12))) % 34.05/34.26 (define @t148 () (not (forall @t6 (or @t140 (= @t147 @t146))))) % 34.05/34.26 (define @t149 () (not @t21)) % 34.05/34.26 (define @t150 () (not @t22)) % 34.05/34.26 (define @t151 () (or @t150 @t149 @t19 @t148)) % 34.05/34.26 (define @t152 () (forall @t25 @t151)) % 34.05/34.26 (define @t153 () (not @t20)) % 34.05/34.26 (define @t154 () (or @t150 @t149 @t153)) % 34.05/34.26 (define @t155 () (xor @t147 @t146)) % 34.05/34.26 (define @t156 () (and @t5 @t155)) % 34.05/34.26 (define @t157 () (forall @t6 (not @t156))) % 34.05/34.26 (define @t158 () (not @t157)) % 34.05/34.26 (define @t159 () (tptp.tail_of @t106)) % 34.05/34.26 (define @t160 () (not (= @t105 @t106))) % 34.05/34.26 (define @t161 () (and @t128 @t129 @t160 (= @t136 @t159))) % 34.05/34.26 (define @t162 () (tptp.sequential @t105 @t106)) % 34.05/34.26 (define @t163 () (= @t162 @t161)) % 34.05/34.26 (define @t164 () (= @t159 @t136)) % 34.05/34.26 (define @t165 () (and @t128 @t129 @t127 @t164)) % 34.05/34.26 (define @t166 () (= @t162 @t165)) % 34.05/34.26 (define @t167 () (@list @t42)) % 34.05/34.26 (define @t168 () (@var "BOUND_VARIABLE_7831" $$unsorted)) % 34.05/34.26 (define @t169 () (@var "BOUND_VARIABLE_7829" $$unsorted)) % 34.05/34.26 (define @t170 () (tptp.precedes @t169 @t168 @t28)) % 34.05/34.26 (define @t171 () (@var "BOUND_VARIABLE_7833" $$unsorted)) % 34.05/34.26 (define @t172 () (and (not (tptp.sequential @t169 @t168)) (or (not (tptp.sequential @t169 @t171)) (not (tptp.precedes @t171 @t168 @t28))))) % 34.05/34.26 (define @t173 () (not (tptp.on_path @t168 @t28))) % 34.05/34.26 (define @t174 () (not (tptp.on_path @t169 @t28))) % 34.05/34.26 (define @t175 () (not @t29)) % 34.05/34.26 (define @t176 () (or @t174 @t173 @t172 @t170)) % 34.05/34.26 (define @t177 () (or @t175 @t176)) % 34.05/34.26 (define @t178 () (forall (@list @t28 @t10 @t12 @t169 @t168 @t171) @t177)) % 34.05/34.26 (define @t179 () (@list @t169 @t168 @t171)) % 34.05/34.26 (define @t180 () (forall @t179 @t177)) % 34.05/34.26 (define @t181 () (forall @t179 @t176)) % 34.05/34.26 (define @t182 () (@var "BOUND_VARIABLE_7814" $$unsorted)) % 34.05/34.26 (define @t183 () (or @t175 @t181)) % 34.05/34.26 (define @t184 () (or (not (tptp.sequential @t37 @t182)) (not (tptp.precedes @t182 @t36 @t28)))) % 34.05/34.26 (define @t185 () (and @t100 @t184)) % 34.05/34.26 (define @t186 () (not @t51)) % 34.05/34.26 (define @t187 () (not @t52)) % 34.05/34.26 (define @t188 () (or @t187 @t186 @t185 @t43)) % 34.05/34.26 (define @t189 () (forall (@list @t37 @t36 @t182) @t188)) % 34.05/34.26 (define @t190 () (@list @t182)) % 34.05/34.26 (define @t191 () (forall @t190 @t188)) % 34.05/34.26 (define @t192 () (forall @t190 @t184)) % 34.05/34.26 (define @t193 () (@list @t44)) % 34.05/34.26 (define @t194 () (forall @t190 @t100)) % 34.05/34.26 (define @t195 () (and @t194 @t192)) % 34.05/34.26 (define @t196 () (forall @t190 @t185)) % 34.05/34.26 (define @t197 () (or @t187 @t186 @t196 @t43)) % 34.05/34.26 (define @t198 () (forall @t48 (or (not @t46) (not @t45)))) % 34.05/34.26 (define @t199 () (and @t100 @t198)) % 34.05/34.26 (define @t200 () (or @t187 @t186 @t199 @t43)) % 34.05/34.26 (define @t201 () (not @t198)) % 34.05/34.26 (define @t202 () (or @t40 @t201)) % 34.05/34.26 (define @t203 () (not @t202)) % 34.05/34.26 (define @t204 () (or @t187 @t186 @t203)) % 34.05/34.26 (define @t205 () (and @t52 @t51 @t202)) % 34.05/34.26 (define @t206 () (forall @t48 (not @t47))) % 34.05/34.26 (define @t207 () (not @t206)) % 34.05/34.26 (define @t208 () (@var "BOUND_VARIABLE_7874" $$unsorted)) % 34.05/34.26 (define @t209 () (@var "BOUND_VARIABLE_7872" $$unsorted)) % 34.05/34.26 (define @t210 () (and (tptp.on_path @t209 @t28) (tptp.on_path @t208 @t28) (= (not (forall @t48 (or (not (tptp.sequential @t209 @t44)) (not (tptp.precedes @t44 @t208 @t28))))) (not (tptp.sequential @t209 @t208))))) % 34.05/34.26 (define @t211 () (not (tptp.precedes @t209 @t208 @t28))) % 34.05/34.26 (define @t212 () (or @t175 @t211 @t210)) % 34.05/34.26 (define @t213 () (or @t211 @t210)) % 34.05/34.26 (define @t214 () (or @t175 @t213)) % 34.05/34.26 (define @t215 () (@list @t28 @t10 @t12 @t209 @t208)) % 34.05/34.26 (define @t216 () (forall @t215 @t214)) % 34.05/34.26 (define @t217 () (@list @t209 @t208)) % 34.05/34.26 (define @t218 () (forall @t217 @t214)) % 34.05/34.26 (define @t219 () (forall @t217 @t213)) % 34.05/34.26 (define @t220 () (or @t175 @t219)) % 34.05/34.26 (define @t221 () (forall @t41 (or @t101 (and @t52 @t51 (= @t201 @t100))))) % 34.05/34.26 (define @t222 () (and @t52 @t51 (= @t100 @t201))) % 34.05/34.26 (define @t223 () (or @t101 @t222)) % 34.05/34.26 (define @t224 () (and @t52 @t51 (xor @t40 @t201))) % 34.05/34.26 (define @t225 () (not (forall @t48 (or (not (tptp.sequential @t106 @t44)) (not (tptp.precedes @t44 @t105 @t113)))))) % 34.05/34.26 (define @t226 () (tptp.on_path @t105 @t113)) % 34.05/34.26 (define @t227 () (tptp.on_path @t106 @t113)) % 34.05/34.26 (define @t228 () (and @t227 @t226 (= @t225 @t112))) % 34.05/34.26 (define @t229 () (tptp.path @t117 @t116 @t113)) % 34.05/34.26 (define @t230 () (not @t229)) % 34.05/34.26 (define @t231 () (or @t230 @t115 @t228)) % 34.05/34.26 (define @t232 () (forall @t215 @t212)) % 34.05/34.26 (define @t233 () (and @t227 @t226 (= @t112 @t225))) % 34.05/34.26 (define @t234 () (or @t230 @t115 @t233)) % 34.05/34.26 (define @t235 () (and @t229 (not (= @t117 @t116)) (forall @t68 (or (not (tptp.path @t117 @t116 @t28)) (tptp.less_or_equal (tptp.length_of @t113) @t65))))) % 34.05/34.26 (define @t236 () (= @t118 @t235)) % 34.05/34.26 (define @t237 () (@list false false false)) % 34.05/34.26 (define @t238 () (not @t233)) % 34.05/34.26 (define @t239 () (@list @t233)) % 34.05/34.26 (define @t240 () (@var "BOUND_VARIABLE_7921" $$unsorted)) % 34.05/34.26 (define @t241 () (tptp.head_of @t240)) % 34.05/34.26 (define @t242 () (not (= @t241 @t76))) % 34.05/34.26 (define @t243 () (tptp.tail_of @t240)) % 34.05/34.26 (define @t244 () (not (= @t243 @t78))) % 34.05/34.26 (define @t245 () (or @t244 @t242)) % 34.05/34.26 (define @t246 () (and @t245 @t75)) % 34.05/34.26 (define @t247 () (or @t102 @t101 @t246)) % 34.05/34.26 (define @t248 () (@list @t10 @t12 @t37 @t36 @t28 @t240)) % 34.05/34.26 (define @t249 () (forall @t248 @t247)) % 34.05/34.26 (define @t250 () (@list @t240)) % 34.05/34.26 (define @t251 () (forall @t250 @t247)) % 34.05/34.26 (define @t252 () (forall @t250 @t75)) % 34.05/34.26 (define @t253 () (forall @t250 @t245)) % 34.05/34.26 (define @t254 () (and @t253 @t252)) % 34.05/34.26 (define @t255 () (forall @t250 @t246)) % 34.05/34.26 (define @t256 () (or @t102 @t101 @t255)) % 34.05/34.26 (define @t257 () (forall @t48 (or (not @t79) (not @t77)))) % 34.05/34.26 (define @t258 () (and @t257 @t75)) % 34.05/34.26 (define @t259 () (or @t102 @t101 @t258)) % 34.05/34.26 (define @t260 () (forall @t48 (not @t80))) % 34.05/34.26 (define @t261 () (not @t260)) % 34.05/34.26 (define @t262 () (tptp.precedes @t105 @t106 @t113)) % 34.05/34.26 (define @t263 () (not @t262)) % 34.05/34.26 (define @t264 () (not (= @t123 @t159))) % 34.05/34.26 (define @t265 () (not (= @t136 @t136))) % 34.05/34.26 (define @t266 () (not (= @t159 @t123))) % 34.05/34.26 (define @t267 () (or @t266 @t265)) % 34.05/34.26 (define @t268 () (and @t267 @t263)) % 34.05/34.26 (define @t269 () (or @t119 @t115 @t268)) % 34.05/34.26 (define @t270 () (forall @t248 (or @t102 @t101 (and (or (not (= @t78 @t243)) (not (= @t76 @t241))) @t75)))) % 34.05/34.26 (define @t271 () (and @t264 @t263)) % 34.05/34.26 (define @t272 () (or @t119 @t115 @t271)) % 34.05/34.26 (define @t273 () (not @t162)) % 34.05/34.26 (define @t274 () (and @t273 (or (not (tptp.sequential @t105 @t105)) @t263))) % 34.05/34.26 (define @t275 () (not @t227)) % 34.05/34.26 (define @t276 () (not @t226)) % 34.05/34.26 (define @t277 () (or @t230 @t276 @t275 @t274 @t262)) % 34.05/34.26 (define @t278 () (not @t165)) % 34.05/34.26 (define @t279 () (@list true false)) % 34.05/34.26 (define @t280 () (not @t164)) % 34.05/34.26 (define @t281 () (not @t129)) % 34.05/34.26 (define @t282 () (tptp.vertex @t136)) % 34.05/34.26 (define @t283 () (and @t282 (tptp.vertex @t123))) % 34.05/34.26 (define @t284 () (or @t138 @t283)) % 34.05/34.26 (define @t285 () (tptp.vertex @t159)) % 34.05/34.26 (define @t286 () (and (tptp.vertex @t124) @t285)) % 34.05/34.26 (define @t287 () (or @t281 @t286)) % 34.05/34.26 (define @t288 () (forall @t6 (or @t140 (= (and (= @t3 @t159) (= @t2 @t136)) (and (= @t3 @t136) (= @t2 @t159)))))) % 34.05/34.26 (define @t289 () (not @t288)) % 34.05/34.26 (define @t290 () (not @t282)) % 34.05/34.26 (define @t291 () (not @t285)) % 34.05/34.26 (define @t292 () (or @t291 @t290 @t164 @t289)) % 34.05/34.26 (define @t293 () (@list false false true false)) % 34.05/34.26 (define @t294 () (@quantifiers_skolemize @t288 0)) % 34.05/34.26 (define @t295 () (tptp.tail_of @t294)) % 34.05/34.26 (define @t296 () (= @t159 @t295)) % 34.05/34.26 (define @t297 () (tptp.head_of @t294)) % 34.05/34.26 (define @t298 () (= @t136 @t297)) % 34.05/34.26 (define @t299 () (and @t298 @t296)) % 34.05/34.26 (define @t300 () (= @t136 @t295)) % 34.05/34.26 (define @t301 () (= @t159 @t297)) % 34.05/34.26 (define @t302 () (and @t301 @t300)) % 34.05/34.26 (define @t303 () (= @t302 @t299)) % 34.05/34.26 (define @t304 () (tptp.edge @t294)) % 34.05/34.26 (define @t305 () (not @t304)) % 34.05/34.26 (define @t306 () (or @t305 @t303)) % 34.05/34.26 (define @t307 () (not @t306)) % 34.05/34.26 (define @t308 () (and (= @t297 @t136) (= @t295 @t159))) % 34.05/34.26 (define @t309 () (= @t297 @t159)) % 34.05/34.26 (define @t310 () (and @t309 (= @t295 @t136))) % 34.05/34.26 (define @t311 () (= @t310 @t308)) % 34.05/34.26 (define @t312 () (or @t305 @t311)) % 34.05/34.26 (define @t313 () (not @t312)) % 34.05/34.26 (define @t314 () (@list @t306)) % 34.05/34.26 (define @t315 () (not @t299)) % 34.05/34.26 (define @t316 () (not @t298)) % 34.05/34.26 (define @t317 () (not @t296)) % 34.05/34.26 (define @t318 () (or @t317 @t316)) % 34.05/34.26 (define @t319 () (and @t318 @t263)) % 34.05/34.26 (define @t320 () (or @t119 @t115 @t319)) % 34.05/34.26 (define @t321 () (not @t302)) % 34.05/34.26 (define @t322 () (@list @t302)) % 34.05/34.26 (define @t323 () (tptp.sequential @t294 @t106)) % 34.05/34.26 (define @t324 () (tptp.sequential @t105 @t294)) % 34.05/34.26 (define @t325 () (and @t129 @t128 @t304 @t109 @t324 @t323)) % 34.05/34.26 (define @t326 () (tptp.triangle @t106 @t105 @t294)) % 34.05/34.26 (define @t327 () (= @t326 @t325)) % 34.05/34.26 (define @t328 () (not @t325)) % 34.05/34.26 (define @t329 () (not @t324)) % 34.05/34.26 (define @t330 () (not (= @t294 @t106))) % 34.05/34.26 (define @t331 () (and @t304 @t129 @t330 @t309)) % 34.05/34.26 (define @t332 () (= @t323 @t331)) % 34.05/34.26 (define @t333 () (= @t106 @t294)) % 34.05/34.26 (define @t334 () (not @t333)) % 34.05/34.26 (define @t335 () (and @t304 @t129 @t334 @t301)) % 34.05/34.26 (define @t336 () (= @t323 @t335)) % 34.05/34.26 (define @t337 () (not @t301)) % 34.05/34.26 (define @t338 () (= @t105 @t294)) % 34.05/34.26 (define @t339 () (not @t338)) % 34.05/34.26 (define @t340 () (and @t128 @t304 @t339 @t300)) % 34.05/34.26 (define @t341 () (= @t324 @t340)) % 34.05/34.26 (define @t342 () (not @t340)) % 34.05/34.26 (define @t343 () (not @t300)) % 34.05/34.26 (define @t344 () (not @t125)) % 34.05/34.26 (define @t345 () (= @t124 @t295)) % 34.05/34.26 (define @t346 () (and @t125 @t345 @t300 @t144)) % 34.05/34.26 (assume @p1 @t7) % 34.05/34.26 (assume @p2 @t9) % 34.05/34.26 (assume @p3 @t27) % 34.05/34.26 (assume @p4 (forall @t33 (=> (and @t22 @t21 (exists @t6 (and @t5 @t11 (or @t32 @t31)))) @t29))) % 34.05/34.26 (assume @p5 (forall @t33 (=> @t29 (and @t22 @t21 (exists @t6 (and @t5 @t11 (xor @t32 @t31))))))) % 34.05/34.26 (assume @p6 (forall (@list @t10 @t12 @t28 @t1) (=> (and @t29 @t34) (and @t5 (tptp.in_path @t3 @t28) (tptp.in_path @t2 @t28))))) % 34.05/34.26 (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)))))))) % 34.05/34.26 (assume @p8 @t42) % 34.05/34.26 (assume @p9 @t58) % 34.05/34.26 (assume @p10 @t64) % 34.05/34.26 (assume @p11 @t74) % 34.05/34.26 (assume @p12 @t88) % 34.05/34.26 (assume @p13 (forall (@list @t37 @t36 @t44) (= @t89 (and @t39 @t38 (tptp.edge @t44) @t40 (tptp.sequential @t36 @t44) (tptp.sequential @t44 @t37))))) % 34.05/34.26 (assume @p14 (forall @t33 (=> @t29 (= @t65 (tptp.number_of_in tptp.edges @t28))))) % 34.05/34.26 (assume @p15 (forall @t33 (=> @t29 (= @t90 (tptp.minus @t65 tptp.n1))))) % 34.05/34.26 (assume @p16 (forall @t57 (=> (and @t29 (forall @t41 (=> (and @t52 @t51 @t40) @t91))) (= @t90 (tptp.number_of_in tptp.triangles @t28))))) % 34.05/34.26 (assume @p17 (forall (@list @t92 @t93) (tptp.less_or_equal (tptp.number_of_in @t92 @t93) (tptp.number_of_in @t92 tptp.graph)))) % 34.05/34.26 (assume @p18 @t98) % 34.05/34.26 (assume @p19 true) % 34.05/34.26 (step @p20 :rule instantiate :premises (@p8) :args ((@list @t106 @t105))) % 34.05/34.26 (step @p21 :rule bool-impl-true2 :args (@t104)) % 34.05/34.26 (step @p22 :rule cong :premises (@p21) :args ((not (=> true @t104)))) % 34.05/34.26 (step @p23 :rule refl :args (@t104)) % 34.05/34.26 (step @p24 :rule bool-eq-true :args (tptp.complete)) % 34.05/34.26 (step @p25 :rule symm :premises (@p24)) % 34.05/34.26 (step @p26 :rule aci_norm :args ((= (or @t107 @t99) @t103))) % 34.05/34.26 (step @p27 :rule refl :args (@t99)) % 34.05/34.26 (step @p28 :rule aci_norm :args ((= (or @t102 (or @t101 @t100)) @t107))) % 34.05/34.26 (step @p29 :rule bool-and-de-morgan :args (@t43 @t40 true)) % 34.05/34.26 (step @p30 :rule refl :args (@t102)) % 34.05/34.26 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t102 (not (and @t43 @t40))))) % 34.05/34.26 (step @p32 :rule bool-and-de-morgan :args (@t84 @t43 (and @t40))) % 34.05/34.26 (step @p33 :rule trans :premises (@p32 @p31)) % 34.05/34.26 (step @p34 :rule trans :premises (@p33 @p28)) % 34.05/34.26 (step @p35 :rule nary_cong :premises (@p34 @p27) :args ((or (not @t94) @t99))) % 34.05/34.26 (step @p36 :rule trans :premises (@p35 @p26)) % 34.05/34.26 (step @p37 :rule bool-impl-elim :args (@t94 @t99)) % 34.05/34.26 (step @p38 :rule trans :premises (@p37 @p36)) % 34.05/34.26 (step @p39 :rule cong :premises (@p38) :args ((forall @t87 (=> @t94 @t99)))) % 34.05/34.26 (step @p40 :rule exists-elim :args ((= @t91 @t99))) % 34.05/34.26 (step @p41 :rule refl :args (@t94)) % 34.05/34.26 (step @p42 :rule cong :premises (@p41 @p40) :args (@t95)) % 34.05/34.26 (step @p43 :rule cong :premises (@p42) :args (@t96)) % 34.05/34.26 (step @p44 :rule trans :premises (@p43 @p39)) % 34.05/34.26 (step @p45 :rule refl :args (tptp.complete)) % 34.05/34.26 (step @p46 :rule cong :premises (@p45 @p44) :args (@t97)) % 34.05/34.26 (step @p47 :rule cong :premises (@p46) :args (@t98)) % 34.05/34.26 (step @p48 :rule eq_resolve :premises (@p18 @p47)) % 34.05/34.26 (step @p49 :rule not_implies_elim1 :premises (@p48)) % 34.05/34.26 (step @p50 :rule eq_resolve :premises (@p49 @p25)) % 34.05/34.26 (step @p51 :rule cong :premises (@p50 @p23) :args (@t108)) % 34.05/34.26 (step @p52 :rule cong :premises (@p51) :args ((not @t108))) % 34.05/34.26 (step @p53 :rule trans :premises (@p52 @p22)) % 34.05/34.26 (step @p54 :rule trans :premises (@p47 @p53)) % 34.05/34.26 (step @p55 :rule eq_resolve :premises (@p18 @p54)) % 34.05/34.26 (step @p56 :rule skolemize :premises (@p55)) % 34.05/34.26 (step @p57 :rule bool-double-not-elim :args (@t109)) % 34.05/34.26 (step @p58 :rule refl :args (@t120)) % 34.05/34.26 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t120 (not @t112)))) % 34.05/34.26 (step @p60 :rule cnf_or_neg :args (@t120 2)) % 34.05/34.26 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 34.05/34.26 (step @p62 :rule reordering :premises (@p61) :args ((or @t109 @t120))) % 34.05/34.26 (step @p63 :rule chain_m_resolution :premises (@p62 @p56) :args (@t109 @t121 @t122)) % 34.05/34.26 (step @p64 :rule cnf_equiv_pos1 :args (@t131)) % 34.05/34.26 (step @p65 :rule reordering :premises (@p64) :args ((or @t112 @t130 (not @t131)))) % 34.05/34.26 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p20) :args (@t130 @t132 (@list @t109 @t131))) % 34.05/34.26 (step @p67 :rule cnf_and_pos :args (@t130 3)) % 34.05/34.26 (step @p68 :rule reordering :premises (@p67) :args ((or @t125 @t133))) % 34.05/34.26 (step @p69 :rule chain_m_resolution :premises (@p68 @p66) :args (@t125 @t134 @t135)) % 34.05/34.26 (step @p70 :rule bool-impl-elim :args (@t5 @t4)) % 34.05/34.26 (step @p71 :rule cong :premises (@p70) :args (@t7)) % 34.05/34.26 (step @p72 :rule eq_resolve :premises (@p1 @p71)) % 34.05/34.26 (step @p73 :rule eq-symm :args (@t136 @t123)) % 34.05/34.26 (step @p74 :rule cong :premises (@p73) :args (@t137)) % 34.05/34.26 (step @p75 :rule refl :args (@t138)) % 34.05/34.26 (step @p76 :rule nary_cong :premises (@p75 @p74) :args (@t139)) % 34.05/34.26 (step @p77 :rule refl :args (@t141)) % 34.05/34.26 (step @p78 :rule cong :premises (@p77 @p76) :args ((=> @t141 @t139))) % 34.05/34.26 (assume-push @p611 @t141) % 34.05/34.26 (step @p80 :rule instantiate :premises (@p72) :args (@t142)) % 34.05/34.26 (step-pop @p612 :rule scope :premises (@p80)) % 34.05/34.26 (step @p81 :rule process_scope :premises (@p612) :args (@t139)) % 34.05/34.26 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 34.05/34.26 (step @p84 :rule implies_elim :premises (@p83)) % 34.05/34.26 (step @p85 :rule chain_m_resolution :premises (@p84 @p72) :args (@t145 @t134 (@list @t141))) % 34.05/34.26 (step @p86 :rule cnf_and_pos :args (@t130 1)) % 34.05/34.26 (step @p87 :rule reordering :premises (@p86) :args ((or @t128 @t133))) % 34.05/34.26 (step @p88 :rule chain_m_resolution :premises (@p87 @p66) :args (@t128 @t134 @t135)) % 34.05/34.26 (step @p89 :rule cnf_or_pos :args (@t145)) % 34.05/34.26 (step @p90 :rule reordering :premises (@p89) :args ((or @t138 @t144 (not @t145)))) % 34.05/34.26 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p85) :args (@t144 @t132 (@list @t128 @t145))) % 34.05/34.26 (step @p92 :rule bool-impl-true2 :args (@t152)) % 34.05/34.26 (step @p93 :rule refl :args (@t152)) % 34.05/34.26 (step @p94 :rule cong :premises (@p50 @p93) :args ((=> tptp.complete @t152))) % 34.05/34.26 (step @p95 :rule trans :premises (@p94 @p92)) % 34.05/34.26 (step @p96 :rule aci_norm :args ((= (or (or @t150 @t149 @t19) @t148) @t151))) % 34.05/34.26 (step @p97 :rule refl :args (@t148)) % 34.05/34.26 (step @p98 :rule bool-double-not-elim :args (@t19)) % 34.05/34.26 (step @p99 :rule refl :args (@t149)) % 34.05/34.26 (step @p100 :rule refl :args (@t150)) % 34.05/34.26 (step @p101 :rule nary_cong :premises (@p100 @p99 @p98) :args (@t154)) % 34.05/34.26 (step @p102 :rule aci_norm :args ((= (or @t150 (or @t149 @t153)) @t154))) % 34.05/34.26 (step @p103 :rule trans :premises (@p102 @p101)) % 34.05/34.26 (step @p104 :rule bool-and-de-morgan :args (@t21 @t20 true)) % 34.05/34.26 (step @p105 :rule nary_cong :premises (@p100 @p104) :args ((or @t150 (not (and @t21 @t20))))) % 34.05/34.26 (step @p106 :rule bool-and-de-morgan :args (@t22 @t21 (and @t20))) % 34.05/34.26 (step @p107 :rule trans :premises (@p106 @p105)) % 34.05/34.26 (step @p108 :rule trans :premises (@p107 @p103)) % 34.05/34.26 (step @p109 :rule nary_cong :premises (@p108 @p97) :args ((or (not @t23) @t148))) % 34.05/34.26 (step @p110 :rule trans :premises (@p109 @p96)) % 34.05/34.26 (step @p111 :rule bool-impl-elim :args (@t23 @t148)) % 34.05/34.26 (step @p112 :rule trans :premises (@p111 @p110)) % 34.05/34.26 (step @p113 :rule cong :premises (@p112) :args ((forall @t25 (=> @t23 @t148)))) % 34.05/34.26 (step @p114 :rule bool-not-xor-elim :args (@t147 @t146)) % 34.05/34.26 (step @p115 :rule refl :args (@t140)) % 34.05/34.26 (step @p116 :rule nary_cong :premises (@p115 @p114) :args ((or @t140 (not @t155)))) % 34.05/34.26 (step @p117 :rule bool-and-de-morgan :args (@t5 @t155 true)) % 34.05/34.26 (step @p118 :rule trans :premises (@p117 @p116)) % 34.05/34.26 (step @p119 :rule cong :premises (@p118) :args (@t157)) % 34.05/34.26 (step @p120 :rule cong :premises (@p119) :args (@t158)) % 34.05/34.26 (step @p121 :rule exists-elim :args ((= (exists @t6 @t156) @t158))) % 34.05/34.26 (step @p122 :rule trans :premises (@p121 @p120)) % 34.05/34.26 (step @p123 :rule eq-symm :args (@t10 @t2)) % 34.05/34.26 (step @p124 :rule eq-symm :args (@t12 @t3)) % 34.05/34.26 (step @p125 :rule nary_cong :premises (@p124 @p123) :args (@t14)) % 34.05/34.26 (step @p126 :rule eq-symm :args (@t12 @t2)) % 34.05/34.26 (step @p127 :rule eq-symm :args (@t10 @t3)) % 34.05/34.26 (step @p128 :rule nary_cong :premises (@p127 @p126) :args (@t15)) % 34.05/34.26 (step @p129 :rule cong :premises (@p128 @p125) :args (@t16)) % 34.05/34.26 (step @p130 :rule refl :args (@t5)) % 34.05/34.26 (step @p131 :rule nary_cong :premises (@p130 @p129) :args (@t17)) % 34.05/34.26 (step @p132 :rule cong :premises (@p131) :args (@t18)) % 34.05/34.26 (step @p133 :rule trans :premises (@p132 @p122)) % 34.05/34.26 (step @p134 :rule refl :args (@t23)) % 34.05/34.26 (step @p135 :rule cong :premises (@p134 @p133) :args (@t24)) % 34.05/34.26 (step @p136 :rule cong :premises (@p135) :args (@t26)) % 34.05/34.26 (step @p137 :rule trans :premises (@p136 @p113)) % 34.05/34.26 (step @p138 :rule cong :premises (@p45 @p137) :args (@t27)) % 34.05/34.26 (step @p139 :rule trans :premises (@p138 @p95)) % 34.05/34.26 (step @p140 :rule eq_resolve :premises (@p3 @p139)) % 34.05/34.26 (step @p141 :rule instantiate :premises (@p140) :args ((@list @t159 @t136))) % 34.05/34.26 (step @p142 :rule eq-symm :args (@t136 @t159)) % 34.05/34.26 (step @p143 :rule eq-symm :args (@t105 @t106)) % 34.05/34.26 (step @p144 :rule cong :premises (@p143) :args (@t160)) % 34.05/34.26 (step @p145 :rule refl :args (@t129)) % 34.05/34.26 (step @p146 :rule refl :args (@t128)) % 34.05/34.26 (step @p147 :rule nary_cong :premises (@p146 @p145 @p144 @p142) :args (@t161)) % 34.05/34.26 (step @p148 :rule refl :args (@t162)) % 34.05/34.26 (step @p149 :rule cong :premises (@p148 @p147) :args (@t163)) % 34.05/34.26 (step @p150 :rule refl :args (@t42)) % 34.05/34.26 (step @p151 :rule cong :premises (@p150 @p149) :args ((=> @t42 @t163))) % 34.05/34.26 (assume-push 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@p568 :rule nary_cong :premises (@p567 @p566 @p557 @p565) :args ((or @t344 (not @t144) @t343 @t339))) % 34.05/34.26 (assume-push @p629 @t125) % 34.05/34.26 (assume-push @p630 @t345) % 34.05/34.26 (assume-push @p631 @t300) % 34.05/34.26 (assume-push @p632 @t144) % 34.05/34.26 (step @p573 :rule evaluate :args ((= false true))) % 34.05/34.26 (step @p574 :rule symm :premises (@p630)) % 34.05/34.26 (step @p575 :rule trans :premises (@p482 @p574 @p69)) % 34.05/34.26 (step @p576 :rule symm :premises (@p575)) % 34.05/34.26 (step @p577 :rule true_intro :premises (@p576)) % 34.05/34.26 (step @p578 :rule false_intro :premises (@p91)) % 34.05/34.26 (step @p579 :rule symm :premises (@p578)) % 34.05/34.26 (step @p580 :rule trans :premises (@p579 @p577)) % 34.05/34.26 (step @p581 false :rule eq_resolve :premises (@p580 @p573)) % 34.05/34.26 (step-pop @p633 :rule scope :premises (@p581)) % 34.05/34.26 (step-pop @p634 :rule scope :premises (@p633)) % 34.05/34.26 (step-pop @p635 :rule scope :premises (@p634)) % 34.05/34.26 (step-pop @p636 :rule scope :premises (@p635)) % 34.05/34.26 (step @p582 :rule process_scope :premises (@p636) :args (false)) % 34.05/34.26 (assume-push @p637 @t125) % 34.05/34.26 (assume-push @p638 @t144) % 34.05/34.26 (assume-push @p639 @t300) % 34.05/34.26 (assume-push @p640 @t338) % 34.05/34.26 (assume-push @p641 @t338) % 34.05/34.26 (assume-push @p642 @t125) % 34.05/34.26 (step @p593 :rule cong :premises (@p640) :args (@t123)) % 34.05/34.26 (step @p594 :rule trans :premises (@p69 @p593)) % 34.05/34.26 (step-pop @p643 :rule scope :premises (@p594)) % 34.05/34.26 (step-pop @p644 :rule scope :premises (@p643)) % 34.05/34.26 (step @p595 :rule process_scope :premises (@p644) :args (@t345)) % 34.05/34.26 (step @p598 :rule and_intro :premises (@p640 @p69)) % 34.05/34.26 (step @p599 :rule modus_ponens :premises (@p598 @p595)) % 34.05/34.26 (step @p600 :rule and_intro :premises (@p69 @p599 @p482 @p91)) % 34.05/34.26 (step-pop @p645 :rule scope :premises (@p600)) % 34.05/34.26 (step-pop @p646 :rule scope :premises (@p645)) % 34.05/34.26 (step-pop @p647 :rule scope :premises (@p646)) % 34.05/34.26 (step-pop @p648 :rule scope :premises (@p647)) % 34.05/34.26 (step @p601 :rule process_scope :premises (@p648) :args (@t346)) % 34.05/34.26 (step @p606 :rule implies_elim :premises (@p601)) % 34.05/34.26 (step @p607 :rule resolution :premises (@p606 @p582) :args (true @t346)) % 34.05/34.26 (step @p608 :rule not_and :premises (@p607)) % 34.05/34.26 (step @p609 :rule eq_resolve :premises (@p608 @p568)) % 34.05/34.26 (step @p610 false :rule chain_m_resolution :premises (@p609 @p564 @p482 @p91 @p69) :args (false @t293 (@list @t338 @t300 @t143 @t125))) % 34.05/34.26 ) % 34.05/34.26 % SZS output end Proof % 34.05/34.26 % cvc5 exiting %------------------------------------------------------------------------------