%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRA003+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 0.45s 0.63s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRA003+1 : 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 % 0.16/0.34 % Computer : n025.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 00:14:01 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.63 % SZS status Theorem % 0.45/0.63 % SZS output start Proof % 0.45/0.63 ( % 0.45/0.63 (declare-sort $$unsorted 0) % 0.45/0.63 (declare-const tptp.graph $$unsorted) % 0.45/0.63 (declare-const tptp.number_of_in (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.edges $$unsorted) % 0.45/0.63 (declare-const tptp.triangle (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.shortest_path (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.tail_of (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.triangles $$unsorted) % 0.45/0.63 (declare-const tptp.in_path (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.head_of (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.sequential_pairs $$unsorted) % 0.45/0.63 (declare-const tptp.edge (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.path_cons (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.precedes (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.complete Bool) % 0.45/0.63 (declare-const tptp.path (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.vertex (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.on_path (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.empty $$unsorted) % 0.45/0.63 (declare-const tptp.n1 $$unsorted) % 0.45/0.63 (declare-const tptp.sequential (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.length_of (-> $$unsorted $$unsorted)) % 0.45/0.63 (define @t1 () (@var "E" $$unsorted)) % 0.45/0.63 (define @t2 () (tptp.tail_of @t1)) % 0.45/0.63 (define @t3 () (tptp.head_of @t1)) % 0.45/0.63 (define @t4 () (tptp.edge @t1)) % 0.45/0.63 (define @t5 () (@list @t1)) % 0.45/0.63 (define @t6 () (@var "V1" $$unsorted)) % 0.45/0.63 (define @t7 () (= @t6 @t2)) % 0.45/0.63 (define @t8 () (@var "V2" $$unsorted)) % 0.45/0.63 (define @t9 () (= @t8 @t3)) % 0.45/0.63 (define @t10 () (not (= @t6 @t8))) % 0.45/0.63 (define @t11 () (tptp.vertex @t8)) % 0.45/0.63 (define @t12 () (tptp.vertex @t6)) % 0.45/0.63 (define @t13 () (@var "P" $$unsorted)) % 0.45/0.63 (define @t14 () (tptp.path @t6 @t8 @t13)) % 0.45/0.63 (define @t15 () (@var "TP" $$unsorted)) % 0.45/0.63 (define @t16 () (tptp.path_cons @t1 @t15)) % 0.45/0.63 (define @t17 () (= @t13 @t16)) % 0.45/0.63 (define @t18 () (tptp.path @t3 @t8 @t15)) % 0.45/0.63 (define @t19 () (and @t18 @t17)) % 0.45/0.63 (define @t20 () (@list @t15)) % 0.45/0.63 (define @t21 () (exists @t20 @t19)) % 0.45/0.63 (define @t22 () (tptp.path_cons @t1 tptp.empty)) % 0.45/0.63 (define @t23 () (= @t13 @t22)) % 0.45/0.63 (define @t24 () (and @t9 @t23)) % 0.45/0.63 (define @t25 () (@list @t6 @t8 @t13)) % 0.45/0.63 (define @t26 () (xor @t24 @t21)) % 0.45/0.63 (define @t27 () (and @t4 @t7 @t26)) % 0.45/0.63 (define @t28 () (exists @t5 @t27)) % 0.45/0.63 (define @t29 () (and @t12 @t11 @t28)) % 0.45/0.63 (define @t30 () (=> @t14 @t29)) % 0.45/0.63 (define @t31 () (forall @t25 @t30)) % 0.45/0.63 (define @t32 () (and @t4 (tptp.in_path @t3 @t13) (tptp.in_path @t2 @t13))) % 0.45/0.63 (define @t33 () (tptp.on_path @t1 @t13)) % 0.45/0.63 (define @t34 () (and @t14 @t33)) % 0.45/0.63 (define @t35 () (forall (@list @t6 @t8 @t13 @t1) (=> @t34 @t32))) % 0.45/0.63 (define @t36 () (@var "V" $$unsorted)) % 0.45/0.63 (define @t37 () (@var "E2" $$unsorted)) % 0.45/0.63 (define @t38 () (@var "E1" $$unsorted)) % 0.45/0.63 (define @t39 () (not (= @t38 @t37))) % 0.45/0.63 (define @t40 () (tptp.edge @t37)) % 0.45/0.63 (define @t41 () (tptp.edge @t38)) % 0.45/0.63 (define @t42 () (tptp.sequential @t38 @t37)) % 0.45/0.63 (define @t43 () (@list @t38 @t37)) % 0.45/0.63 (define @t44 () (forall @t43 (= @t42 (and @t41 @t40 @t39 (= (tptp.head_of @t38) (tptp.tail_of @t37)))))) % 0.45/0.63 (define @t45 () (tptp.precedes @t38 @t37 @t13)) % 0.45/0.63 (define @t46 () (@var "E3" $$unsorted)) % 0.45/0.63 (define @t47 () (tptp.precedes @t46 @t37 @t13)) % 0.45/0.63 (define @t48 () (tptp.sequential @t38 @t46)) % 0.45/0.63 (define @t49 () (and @t48 @t47)) % 0.45/0.63 (define @t50 () (@list @t46)) % 0.45/0.63 (define @t51 () (exists @t50 @t49)) % 0.45/0.63 (define @t52 () (tptp.on_path @t37 @t13)) % 0.45/0.63 (define @t53 () (tptp.on_path @t38 @t13)) % 0.45/0.63 (define @t54 () (@list @t13 @t6 @t8)) % 0.45/0.63 (define @t55 () (xor @t42 @t51)) % 0.45/0.63 (define @t56 () (and @t53 @t52 @t55)) % 0.45/0.63 (define @t57 () (=> @t45 @t56)) % 0.45/0.63 (define @t58 () (forall @t43 @t57)) % 0.45/0.63 (define @t59 () (=> @t14 @t58)) % 0.45/0.63 (define @t60 () (forall @t54 @t59)) % 0.45/0.63 (define @t61 () (tptp.length_of @t13)) % 0.45/0.63 (define @t62 () (@var "SP" $$unsorted)) % 0.45/0.63 (define @t63 () (tptp.less_or_equal (tptp.length_of @t62) @t61)) % 0.45/0.63 (define @t64 () (@list @t13)) % 0.45/0.63 (define @t65 () (forall @t64 (=> @t14 @t63))) % 0.45/0.63 (define @t66 () (tptp.path @t6 @t8 @t62)) % 0.45/0.63 (define @t67 () (and @t66 @t10 @t65)) % 0.45/0.63 (define @t68 () (tptp.shortest_path @t6 @t8 @t62)) % 0.45/0.63 (define @t69 () (= @t68 @t67)) % 0.45/0.63 (define @t70 () (forall (@list @t6 @t8 @t62) @t69)) % 0.45/0.63 (define @t71 () (not (tptp.precedes @t37 @t38 @t13))) % 0.45/0.63 (define @t72 () (tptp.head_of @t37)) % 0.45/0.63 (define @t73 () (= (tptp.head_of @t46) @t72)) % 0.45/0.63 (define @t74 () (tptp.tail_of @t38)) % 0.45/0.63 (define @t75 () (= (tptp.tail_of @t46) @t74)) % 0.45/0.63 (define @t76 () (and @t75 @t73)) % 0.45/0.63 (define @t77 () (exists @t50 @t76)) % 0.45/0.63 (define @t78 () (not @t77)) % 0.45/0.63 (define @t79 () (and @t78 @t71)) % 0.45/0.63 (define @t80 () (tptp.shortest_path @t6 @t8 @t13)) % 0.45/0.63 (define @t81 () (and @t80 @t45)) % 0.45/0.63 (define @t82 () (=> @t81 @t79)) % 0.45/0.63 (define @t83 () (@list @t6 @t8 @t38 @t37 @t13)) % 0.45/0.63 (define @t84 () (forall @t83 @t82)) % 0.45/0.63 (define @t85 () (tptp.triangle @t38 @t37 @t46)) % 0.45/0.63 (define @t86 () (tptp.number_of_in tptp.sequential_pairs @t13)) % 0.45/0.63 (define @t87 () (@var "Things" $$unsorted)) % 0.45/0.63 (define @t88 () (@var "InThese" $$unsorted)) % 0.45/0.63 (define @t89 () (and @t12 @t11 @t10 @t41 @t40 @t39 @t14)) % 0.45/0.63 (define @t90 () (forall @t83 (=> @t81 @t89))) % 0.45/0.63 (define @t91 () (not @t90)) % 0.45/0.63 (define @t92 () (@var "BOUND_VARIABLE_7873" $$unsorted)) % 0.45/0.63 (define @t93 () (@var "BOUND_VARIABLE_7871" $$unsorted)) % 0.45/0.63 (define @t94 () (and (tptp.on_path @t93 @t13) (tptp.on_path @t92 @t13) (= (not (forall @t50 (or (not (tptp.sequential @t93 @t46)) (not (tptp.precedes @t46 @t92 @t13))))) (not (tptp.sequential @t93 @t92))))) % 0.45/0.63 (define @t95 () (not (tptp.precedes @t93 @t92 @t13))) % 0.45/0.63 (define @t96 () (not @t14)) % 0.45/0.63 (define @t97 () (or @t95 @t94)) % 0.45/0.63 (define @t98 () (or @t96 @t97)) % 0.45/0.63 (define @t99 () (forall (@list @t13 @t6 @t8 @t93 @t92) @t98)) % 0.45/0.63 (define @t100 () (@list @t93 @t92)) % 0.45/0.63 (define @t101 () (forall @t100 @t98)) % 0.45/0.63 (define @t102 () (forall @t100 @t97)) % 0.45/0.63 (define @t103 () (or @t96 @t102)) % 0.45/0.63 (define @t104 () (not @t42)) % 0.45/0.63 (define @t105 () (not (forall @t50 (or (not @t48) (not @t47))))) % 0.45/0.63 (define @t106 () (not @t45)) % 0.45/0.63 (define @t107 () (forall @t43 (or @t106 (and @t53 @t52 (= @t105 @t104))))) % 0.45/0.63 (define @t108 () (and @t53 @t52 (= @t104 @t105))) % 0.45/0.63 (define @t109 () (or @t106 @t108)) % 0.45/0.63 (define @t110 () (and @t53 @t52 (xor @t42 @t105))) % 0.45/0.63 (define @t111 () (forall @t50 (not @t49))) % 0.45/0.63 (define @t112 () (not @t111)) % 0.45/0.63 (define @t113 () (not @t80)) % 0.45/0.63 (define @t114 () (or @t113 @t106 @t89)) % 0.45/0.63 (define @t115 () (forall @t83 @t114)) % 0.45/0.63 (define @t116 () (@quantifiers_skolemize @t115 3)) % 0.45/0.63 (define @t117 () (@quantifiers_skolemize @t115 2)) % 0.45/0.63 (define @t118 () (@quantifiers_skolemize @t115 1)) % 0.45/0.63 (define @t119 () (@quantifiers_skolemize @t115 0)) % 0.45/0.63 (define @t120 () (@quantifiers_skolemize @t115 4)) % 0.45/0.63 (define @t121 () (@list @t119 @t118 @t120)) % 0.45/0.63 (define @t122 () (or @t113 @t106)) % 0.45/0.63 (define @t123 () (not @t81)) % 0.45/0.63 (define @t124 () (tptp.shortest_path @t119 @t118 @t120)) % 0.45/0.63 (define @t125 () (tptp.path @t119 @t118 @t120)) % 0.45/0.63 (define @t126 () (= @t117 @t116)) % 0.45/0.63 (define @t127 () (not @t126)) % 0.45/0.63 (define @t128 () (tptp.edge @t116)) % 0.45/0.63 (define @t129 () (tptp.edge @t117)) % 0.45/0.63 (define @t130 () (= @t119 @t118)) % 0.45/0.63 (define @t131 () (not @t130)) % 0.45/0.63 (define @t132 () (tptp.vertex @t118)) % 0.45/0.63 (define @t133 () (tptp.vertex @t119)) % 0.45/0.63 (define @t134 () (and @t133 @t132 @t131 @t129 @t128 @t127 @t125)) % 0.45/0.63 (define @t135 () (tptp.precedes @t117 @t116 @t120)) % 0.45/0.63 (define @t136 () (not @t135)) % 0.45/0.63 (define @t137 () (not @t124)) % 0.45/0.63 (define @t138 () (or @t137 @t136 @t134)) % 0.45/0.63 (define @t139 () (@list true)) % 0.45/0.63 (define @t140 () (@list @t138)) % 0.45/0.63 (define @t141 () (and @t125 @t131 (forall @t64 (or (not (tptp.path @t119 @t118 @t13)) (tptp.less_or_equal (tptp.length_of @t120) @t61))))) % 0.45/0.63 (define @t142 () (= @t124 @t141)) % 0.45/0.63 (define @t143 () (@list false false)) % 0.45/0.63 (define @t144 () (not @t141)) % 0.45/0.63 (define @t145 () (@list false)) % 0.45/0.63 (define @t146 () (@list @t141)) % 0.45/0.63 (define @t147 () (tptp.sequential @t117 @t116)) % 0.45/0.63 (define @t148 () (not @t147)) % 0.45/0.63 (define @t149 () (forall @t50 (or (not (tptp.sequential @t117 @t46)) (not (tptp.precedes @t46 @t116 @t120))))) % 0.45/0.63 (define @t150 () (not @t149)) % 0.45/0.63 (define @t151 () (= @t150 @t148)) % 0.45/0.63 (define @t152 () (tptp.on_path @t116 @t120)) % 0.45/0.63 (define @t153 () (and (tptp.on_path @t117 @t120) @t152 @t151)) % 0.45/0.63 (define @t154 () (not @t125)) % 0.45/0.63 (define @t155 () (or @t154 @t136 @t153)) % 0.45/0.63 (define @t156 () (@list false false false)) % 0.45/0.63 (define @t157 () (not @t153)) % 0.45/0.63 (define @t158 () (@list @t153)) % 0.45/0.63 (define @t159 () (@quantifiers_skolemize @t149 0)) % 0.45/0.63 (define @t160 () (not @t33)) % 0.45/0.63 (define @t161 () (tptp.tail_of @t116)) % 0.45/0.63 (define @t162 () (tptp.head_of @t116)) % 0.45/0.63 (define @t163 () (and @t128 (tptp.in_path @t162 @t120) (tptp.in_path @t161 @t120))) % 0.45/0.63 (define @t164 () (not @t152)) % 0.45/0.63 (define @t165 () (or @t154 @t164 @t163)) % 0.45/0.63 (define @t166 () (not (forall @t20 (or (not @t18) (not @t17))))) % 0.45/0.63 (define @t167 () (and (= @t3 @t8) @t23)) % 0.45/0.63 (define @t168 () (= @t2 @t6)) % 0.45/0.63 (define @t169 () (not @t168)) % 0.45/0.63 (define @t170 () (not @t4)) % 0.45/0.63 (define @t171 () (and @t12 @t11 (not (forall @t5 (or @t170 @t169 (= @t167 @t166)))))) % 0.45/0.63 (define @t172 () (xor @t167 @t166)) % 0.45/0.63 (define @t173 () (not @t172)) % 0.45/0.63 (define @t174 () (or @t170 @t169 @t173)) % 0.45/0.63 (define @t175 () (and @t4 @t168 @t172)) % 0.45/0.63 (define @t176 () (forall @t5 (not @t175))) % 0.45/0.63 (define @t177 () (not @t176)) % 0.45/0.63 (define @t178 () (forall @t20 (not @t19))) % 0.45/0.63 (define @t179 () (not @t178)) % 0.45/0.63 (define @t180 () (not (= @t120 @t16))) % 0.45/0.63 (define @t181 () (not (tptp.path @t3 @t118 @t15))) % 0.45/0.63 (define @t182 () (or @t181 @t180)) % 0.45/0.63 (define @t183 () (forall @t20 @t182)) % 0.45/0.63 (define @t184 () (not @t183)) % 0.45/0.63 (define @t185 () (= @t3 @t118)) % 0.45/0.63 (define @t186 () (and @t185 (= @t120 @t22))) % 0.45/0.63 (define @t187 () (= @t186 @t184)) % 0.45/0.63 (define @t188 () (not (= @t2 @t119))) % 0.45/0.63 (define @t189 () (or @t170 @t188 @t187)) % 0.45/0.63 (define @t190 () (forall @t5 @t189)) % 0.45/0.63 (define @t191 () (not @t190)) % 0.45/0.63 (define @t192 () (and @t133 @t132 @t191)) % 0.45/0.63 (define @t193 () (or @t154 @t192)) % 0.45/0.63 (define @t194 () (forall @t25 (or @t96 @t171))) % 0.45/0.63 (define @t195 () (forall @t5 (or @t170 @t188 (= (and @t185 (= @t22 @t120)) (not (forall @t20 (or @t181 (not (= @t16 @t120))))))))) % 0.45/0.63 (define @t196 () (and @t133 @t132 (not @t195))) % 0.45/0.63 (define @t197 () (or @t154 @t196)) % 0.45/0.63 (define @t198 () (not @t196)) % 0.45/0.63 (define @t199 () (@list @t196)) % 0.45/0.63 (define @t200 () (@var "BOUND_VARIABLE_7920" $$unsorted)) % 0.45/0.63 (define @t201 () (tptp.head_of @t200)) % 0.45/0.63 (define @t202 () (not (= @t201 @t72))) % 0.45/0.63 (define @t203 () (tptp.tail_of @t200)) % 0.45/0.63 (define @t204 () (not (= @t203 @t74))) % 0.45/0.63 (define @t205 () (or @t204 @t202)) % 0.45/0.63 (define @t206 () (and @t205 @t71)) % 0.45/0.63 (define @t207 () (or @t113 @t106 @t206)) % 0.45/0.63 (define @t208 () (@list @t6 @t8 @t38 @t37 @t13 @t200)) % 0.45/0.63 (define @t209 () (forall @t208 @t207)) % 0.45/0.63 (define @t210 () (@list @t200)) % 0.45/0.63 (define @t211 () (forall @t210 @t207)) % 0.45/0.63 (define @t212 () (forall @t210 @t71)) % 0.45/0.63 (define @t213 () (forall @t210 @t205)) % 0.45/0.63 (define @t214 () (and @t213 @t212)) % 0.45/0.63 (define @t215 () (forall @t210 @t206)) % 0.45/0.63 (define @t216 () (or @t113 @t106 @t215)) % 0.45/0.63 (define @t217 () (forall @t50 (or (not @t75) (not @t73)))) % 0.45/0.63 (define @t218 () (and @t217 @t71)) % 0.45/0.63 (define @t219 () (or @t113 @t106 @t218)) % 0.45/0.63 (define @t220 () (forall @t50 (not @t76))) % 0.45/0.63 (define @t221 () (not @t220)) % 0.45/0.63 (define @t222 () (tptp.precedes @t116 @t117 @t120)) % 0.45/0.63 (define @t223 () (not @t222)) % 0.45/0.63 (define @t224 () (@quantifiers_skolemize @t195 0)) % 0.45/0.63 (define @t225 () (tptp.head_of @t224)) % 0.45/0.63 (define @t226 () (not (= @t162 @t225))) % 0.45/0.63 (define @t227 () (tptp.tail_of @t117)) % 0.45/0.63 (define @t228 () (tptp.tail_of @t224)) % 0.45/0.63 (define @t229 () (not (= @t227 @t228))) % 0.45/0.63 (define @t230 () (or @t229 @t226)) % 0.45/0.63 (define @t231 () (and @t230 @t223)) % 0.45/0.63 (define @t232 () (or @t137 @t136 @t231)) % 0.45/0.63 (define @t233 () (forall @t208 (or @t113 @t106 (and (or (not (= @t74 @t203)) (not (= @t72 @t201))) @t71)))) % 0.45/0.63 (define @t234 () (and (or (not (= @t228 @t227)) (not (= @t225 @t162))) @t223)) % 0.45/0.63 (define @t235 () (or @t137 @t136 @t234)) % 0.45/0.63 (define @t236 () (not @t128)) % 0.45/0.63 (define @t237 () (not @t129)) % 0.45/0.63 (define @t238 () (not @t132)) % 0.45/0.63 (define @t239 () (not @t133)) % 0.45/0.63 (define @t240 () (tptp.head_of @t117)) % 0.45/0.63 (define @t241 () (and @t129 (tptp.edge @t159) (not (= @t117 @t159)) (= @t240 (tptp.tail_of @t159)))) % 0.45/0.63 (define @t242 () (not @t241)) % 0.45/0.63 (define @t243 () (@list @t129)) % 0.45/0.63 (define @t244 () (tptp.sequential @t117 @t159)) % 0.45/0.63 (define @t245 () (= @t244 @t241)) % 0.45/0.63 (define @t246 () (not @t244)) % 0.45/0.63 (define @t247 () (or @t246 (not (tptp.precedes @t159 @t116 @t120)))) % 0.45/0.63 (define @t248 () (not @t247)) % 0.45/0.63 (define @t249 () (not @t151)) % 0.45/0.63 (define @t250 () (and @t129 @t128 @t127 (= @t161 @t240))) % 0.45/0.63 (define @t251 () (not @t250)) % 0.45/0.63 (define @t252 () (and @t129 @t128 @t127 (= @t240 @t161))) % 0.45/0.63 (define @t253 () (= @t147 @t252)) % 0.45/0.63 (define @t254 () (= @t147 @t250)) % 0.45/0.63 (assume @p1 (forall @t5 (=> @t4 (not (= @t3 @t2))))) % 0.45/0.63 (assume @p2 (forall @t5 (=> @t4 (and (tptp.vertex @t3) (tptp.vertex @t2))))) % 0.45/0.63 (assume @p3 (=> tptp.complete (forall (@list @t6 @t8) (=> (and @t12 @t11 @t10) (exists @t5 (and @t4 (xor (and (= @t6 @t3) (= @t8 @t2)) (and @t9 @t7)))))))) % 0.45/0.63 (assume @p4 (forall @t25 (=> (and @t12 @t11 (exists @t5 (and @t4 @t7 (or @t24 @t21)))) @t14))) % 0.45/0.63 (assume @p5 @t31) % 0.45/0.63 (assume @p6 @t35) % 0.45/0.63 (assume @p7 (forall (@list @t6 @t8 @t13 @t36) (=> (and @t14 (tptp.in_path @t36 @t13)) (and (tptp.vertex @t36) (exists @t5 (and @t33 (or (= @t36 @t3) (= @t36 @t2)))))))) % 0.45/0.63 (assume @p8 @t44) % 0.45/0.63 (assume @p9 (forall @t54 (=> @t14 (forall @t43 (=> (and @t53 @t52 (or @t42 @t51)) @t45))))) % 0.45/0.63 (assume @p10 @t60) % 0.45/0.63 (assume @p11 @t70) % 0.45/0.63 (assume @p12 @t84) % 0.45/0.63 (assume @p13 (forall (@list @t38 @t37 @t46) (= @t85 (and @t41 @t40 (tptp.edge @t46) @t42 (tptp.sequential @t37 @t46) (tptp.sequential @t46 @t38))))) % 0.45/0.63 (assume @p14 (forall @t25 (=> @t14 (= @t61 (tptp.number_of_in tptp.edges @t13))))) % 0.45/0.63 (assume @p15 (forall @t25 (=> @t14 (= @t86 (tptp.minus @t61 tptp.n1))))) % 0.45/0.63 (assume @p16 (forall @t54 (=> (and @t14 (forall @t43 (=> (and @t53 @t52 @t42) (exists @t50 @t85)))) (= @t86 (tptp.number_of_in tptp.triangles @t13))))) % 0.45/0.63 (assume @p17 (forall (@list @t87 @t88) (tptp.less_or_equal (tptp.number_of_in @t87 @t88) (tptp.number_of_in @t87 tptp.graph)))) % 0.45/0.63 (assume @p18 @t91) % 0.45/0.63 (assume @p19 true) % 0.45/0.63 (step @p20 :rule aci_norm :args ((= @t98 (or @t96 @t95 @t94)))) % 0.45/0.63 (step @p21 :rule cong :premises (@p20) :args (@t99)) % 0.45/0.63 (step @p22 :rule quant-merge-prenex :args ((= (forall @t54 @t101) @t99))) % 0.45/0.63 (step @p23 :rule alpha_equiv :args (@t102 (@list @t93 @t92) (@list @t38 @t37))) % 0.45/0.63 (step @p24 :rule refl :args (@t96)) % 0.45/0.63 (step @p25 :rule nary_cong :premises (@p24 @p23) :args (@t103)) % 0.45/0.63 (step @p26 :rule quant-miniscope-or :args ((= @t101 @t103))) % 0.45/0.63 (step @p27 :rule trans :premises (@p26 @p25)) % 0.45/0.63 (step @p28 :rule symm :premises (@p27)) % 0.45/0.63 (step @p29 :rule cong :premises (@p28) :args ((forall @t54 (or @t96 @t107)))) % 0.45/0.63 (step @p30 :rule trans :premises (@p29 @p22)) % 0.45/0.63 (step @p31 :rule trans :premises (@p30 @p21)) % 0.45/0.63 (step @p32 :rule bool-impl-elim :args (@t14 @t107)) % 0.45/0.63 (step @p33 :rule cong :premises (@p32) :args ((forall @t54 (=> @t14 @t107)))) % 0.45/0.63 (step @p34 :rule trans :premises (@p33 @p31)) % 0.45/0.63 (step @p35 :rule eq-symm :args (@t104 @t105)) % 0.45/0.63 (step @p36 :rule refl :args (@t52)) % 0.45/0.63 (step @p37 :rule refl :args (@t53)) % 0.45/0.63 (step @p38 :rule nary_cong :premises (@p37 @p36 @p35) :args (@t108)) % 0.45/0.63 (step @p39 :rule refl :args (@t106)) % 0.45/0.63 (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t109)) % 0.45/0.63 (step @p41 :rule cong :premises (@p40) :args ((forall @t43 @t109))) % 0.45/0.63 (step @p42 :rule bool-xor-elim :args (@t42 @t105)) % 0.45/0.63 (step @p43 :rule refl :args (@t52)) % 0.45/0.63 (step @p44 :rule refl :args (@t53)) % 0.45/0.63 (step @p45 :rule nary_cong :premises (@p44 @p43 @p42) :args (@t110)) % 0.45/0.63 (step @p46 :rule refl :args (@t106)) % 0.45/0.63 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t106 @t110))) % 0.45/0.63 (step @p48 :rule bool-impl-elim :args (@t45 @t110)) % 0.45/0.63 (step @p49 :rule trans :premises (@p48 @p47)) % 0.45/0.63 (step @p50 :rule cong :premises (@p49) :args ((forall @t43 (=> @t45 @t110)))) % 0.45/0.63 (step @p51 :rule trans :premises (@p50 @p41)) % 0.45/0.63 (step @p52 :rule bool-and-de-morgan :args (@t48 @t47 true)) % 0.45/0.63 (step @p53 :rule cong :premises (@p52) :args (@t111)) % 0.45/0.63 (step @p54 :rule cong :premises (@p53) :args (@t112)) % 0.45/0.63 (step @p55 :rule exists-elim :args ((= @t51 @t112))) % 0.45/0.63 (step @p56 :rule trans :premises (@p55 @p54)) % 0.45/0.63 (step @p57 :rule refl :args (@t42)) % 0.45/0.63 (step @p58 :rule cong :premises (@p57 @p56) :args (@t55)) % 0.45/0.63 (step @p59 :rule nary_cong :premises (@p37 @p36 @p58) :args (@t56)) % 0.45/0.63 (step @p60 :rule refl :args (@t45)) % 0.45/0.63 (step @p61 :rule cong :premises (@p60 @p59) :args (@t57)) % 0.45/0.63 (step @p62 :rule cong :premises (@p61) :args (@t58)) % 0.45/0.63 (step @p63 :rule trans :premises (@p62 @p51)) % 0.45/0.63 (step @p64 :rule refl :args (@t14)) % 0.45/0.63 (step @p65 :rule cong :premises (@p64 @p63) :args (@t59)) % 0.45/0.63 (step @p66 :rule cong :premises (@p65) :args (@t60)) % 0.45/0.63 (step @p67 :rule trans :premises (@p66 @p34)) % 0.45/0.63 (step @p68 :rule eq_resolve :premises (@p10 @p67)) % 0.45/0.63 (step @p69 :rule instantiate :premises (@p68) :args ((@list @t120 @t119 @t118 @t117 @t116))) % 0.45/0.63 (step @p70 :rule bool-impl-elim :args (@t14 @t63)) % 0.45/0.63 (step @p71 :rule cong :premises (@p70) :args (@t65)) % 0.45/0.63 (step @p72 :rule refl :args (@t10)) % 0.45/0.63 (step @p73 :rule refl :args (@t66)) % 0.45/0.63 (step @p74 :rule nary_cong :premises (@p73 @p72 @p71) :args (@t67)) % 0.45/0.63 (step @p75 :rule refl :args (@t68)) % 0.45/0.63 (step @p76 :rule cong :premises (@p75 @p74) :args (@t69)) % 0.45/0.63 (step @p77 :rule cong :premises (@p76) :args (@t70)) % 0.45/0.63 (step @p78 :rule eq_resolve :premises (@p11 @p77)) % 0.45/0.63 (step @p79 :rule instantiate :premises (@p78) :args (@t121)) % 0.45/0.63 (step @p80 :rule aci_norm :args ((= (or @t122 @t89) @t114))) % 0.45/0.63 (step @p81 :rule refl :args (@t89)) % 0.45/0.63 (step @p82 :rule bool-and-de-morgan :args (@t80 @t45 true)) % 0.45/0.63 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t123 @t89))) % 0.45/0.63 (step @p84 :rule trans :premises (@p83 @p80)) % 0.45/0.63 (step @p85 :rule bool-impl-elim :args (@t81 @t89)) % 0.45/0.63 (step @p86 :rule trans :premises (@p85 @p84)) % 0.45/0.63 (step @p87 :rule cong :premises (@p86) :args (@t90)) % 0.45/0.63 (step @p88 :rule cong :premises (@p87) :args (@t91)) % 0.45/0.63 (step @p89 :rule eq_resolve :premises (@p18 @p88)) % 0.45/0.63 (step @p90 :rule skolemize :premises (@p89)) % 0.45/0.63 (step @p91 :rule bool-double-not-elim :args (@t124)) % 0.45/0.63 (step @p92 :rule refl :args (@t138)) % 0.45/0.63 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or @t138 (not @t137)))) % 0.45/0.63 (step @p94 :rule cnf_or_neg :args (@t138 0)) % 0.45/0.63 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 0.45/0.63 (step @p96 :rule reordering :premises (@p95) :args ((or @t124 @t138))) % 0.45/0.63 (step @p97 :rule chain_m_resolution :premises (@p96 @p90) :args (@t124 @t139 @t140)) % 0.45/0.63 (step @p98 :rule cnf_equiv_pos1 :args (@t142)) % 0.45/0.63 (step @p99 :rule reordering :premises (@p98) :args ((or @t137 @t141 (not @t142)))) % 0.45/0.63 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p79) :args (@t141 @t143 (@list @t124 @t142))) % 0.45/0.63 (step @p101 :rule cnf_and_pos :args (@t141 0)) % 0.45/0.63 (step @p102 :rule reordering :premises (@p101) :args ((or @t125 @t144))) % 0.45/0.63 (step @p103 :rule chain_m_resolution :premises (@p102 @p100) :args (@t125 @t145 @t146)) % 0.45/0.63 (step @p104 :rule bool-double-not-elim :args (@t135)) % 0.45/0.63 (step @p105 :rule nary_cong :premises (@p92 @p104) :args ((or @t138 (not @t136)))) % 0.45/0.63 (step @p106 :rule cnf_or_neg :args (@t138 1)) % 0.45/0.63 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 0.45/0.63 (step @p108 :rule reordering :premises (@p107) :args ((or @t135 @t138))) % 0.45/0.63 (step @p109 :rule chain_m_resolution :premises (@p108 @p90) :args (@t135 @t139 @t140)) % 0.45/0.63 (step @p110 :rule cnf_or_pos :args (@t155)) % 0.45/0.63 (step @p111 :rule reordering :premises (@p110) :args ((or @t136 @t154 @t153 (not @t155)))) % 0.45/0.63 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p103 @p69) :args (@t153 @t156 (@list @t135 @t125 @t155))) % 0.45/0.63 (step @p113 :rule cnf_and_pos :args (@t153 2)) % 0.45/0.63 (step @p114 :rule reordering :premises (@p113) :args ((or @t151 @t157))) % 0.45/0.63 (step @p115 :rule chain_m_resolution :premises (@p114 @p112) :args (@t151 @t145 @t158)) % 0.45/0.63 (step @p116 :rule instantiate :premises (@p8) :args ((@list @t117 @t159))) % 0.45/0.63 (step @p117 :rule aci_norm :args ((= (or (or @t96 @t160) @t32) (or @t96 @t160 @t32)))) % 0.45/0.63 (step @p118 :rule refl :args (@t32)) % 0.45/0.63 (step @p119 :rule bool-and-de-morgan :args (@t14 @t33 true)) % 0.45/0.63 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or (not @t34) @t32))) % 0.45/0.63 (step @p121 :rule trans :premises (@p120 @p117)) % 0.45/0.63 (step @p122 :rule bool-impl-elim :args (@t34 @t32)) % 0.45/0.63 (step @p123 :rule trans :premises (@p122 @p121)) % 0.45/0.63 (step @p124 :rule cong :premises (@p123) :args (@t35)) % 0.45/0.63 (step @p125 :rule eq_resolve :premises (@p6 @p124)) % 0.45/0.63 (step @p126 :rule instantiate :premises (@p125) :args ((@list @t119 @t118 @t120 @t116))) % 0.45/0.63 (step @p127 :rule cnf_and_pos :args (@t153 1)) % 0.45/0.63 (step @p128 :rule reordering :premises (@p127) :args ((or @t152 @t157))) % 0.45/0.63 (step @p129 :rule chain_m_resolution :premises (@p128 @p112) :args (@t152 @t145 @t158)) % 0.45/0.63 (step @p130 :rule cnf_or_pos :args (@t165)) % 0.45/0.63 (step @p131 :rule reordering :premises (@p130) :args ((or @t154 @t164 @t163 (not @t165)))) % 0.45/0.63 (step @p132 :rule chain_m_resolution :premises (@p131 @p103 @p129 @p126) :args (@t163 @t156 (@list @t125 @t152 @t165))) % 0.45/0.63 (step @p133 :rule cnf_and_pos :args (@t163 0)) % 0.45/0.63 (step @p134 :rule reordering :premises (@p133) :args ((or @t128 (not @t163)))) % 0.45/0.63 (step @p135 :rule chain_m_resolution :premises (@p134 @p132) :args (@t128 @t145 (@list @t163))) % 0.45/0.63 (step @p136 :rule bool-impl-elim :args (@t14 @t171)) % 0.45/0.63 (step @p137 :rule cong :premises (@p136) :args ((forall @t25 (=> @t14 @t171)))) % 0.45/0.63 (step @p138 :rule bool-not-xor-elim :args (@t167 @t166)) % 0.45/0.63 (step @p139 :rule refl :args (@t169)) % 0.45/0.63 (step @p140 :rule refl :args (@t170)) % 0.45/0.63 (step @p141 :rule nary_cong :premises (@p140 @p139 @p138) :args (@t174)) % 0.45/0.63 (step @p142 :rule aci_norm :args ((= (or @t170 (or @t169 @t173)) @t174))) % 0.45/0.63 (step @p143 :rule bool-and-de-morgan :args (@t168 @t172 true)) % 0.45/0.63 (step @p144 :rule nary_cong :premises (@p140 @p143) :args ((or @t170 (not (and @t168 @t172))))) % 0.45/0.63 (step @p145 :rule bool-and-de-morgan :args (@t4 @t168 (and @t172))) % 0.45/0.63 (step @p146 :rule trans :premises (@p145 @p144)) % 0.45/0.63 (step @p147 :rule trans :premises (@p146 @p142)) % 0.45/0.63 (step @p148 :rule trans :premises (@p147 @p141)) % 0.45/0.63 (step @p149 :rule cong :premises (@p148) :args (@t176)) % 0.45/0.63 (step @p150 :rule cong :premises (@p149) :args (@t177)) % 0.45/0.63 (step @p151 :rule exists-elim :args ((= (exists @t5 @t175) @t177))) % 0.45/0.63 (step @p152 :rule trans :premises (@p151 @p150)) % 0.45/0.63 (step @p153 :rule bool-and-de-morgan :args (@t18 @t17 true)) % 0.45/0.63 (step @p154 :rule cong :premises (@p153) :args (@t178)) % 0.45/0.63 (step @p155 :rule cong :premises (@p154) :args (@t179)) % 0.45/0.63 (step @p156 :rule exists-elim :args ((= @t21 @t179))) % 0.45/0.63 (step @p157 :rule trans :premises (@p156 @p155)) % 0.45/0.63 (step @p158 :rule refl :args (@t23)) % 0.45/0.63 (step @p159 :rule eq-symm :args (@t8 @t3)) % 0.45/0.63 (step @p160 :rule nary_cong :premises (@p159 @p158) :args (@t24)) % 0.45/0.63 (step @p161 :rule cong :premises (@p160 @p157) :args (@t26)) % 0.45/0.63 (step @p162 :rule eq-symm :args (@t6 @t2)) % 0.45/0.63 (step @p163 :rule refl :args (@t4)) % 0.45/0.63 (step @p164 :rule nary_cong :premises (@p163 @p162 @p161) :args (@t27)) % 0.45/0.63 (step @p165 :rule cong :premises (@p164) :args (@t28)) % 0.45/0.63 (step @p166 :rule trans :premises (@p165 @p152)) % 0.45/0.63 (step @p167 :rule refl :args (@t11)) % 0.45/0.63 (step @p168 :rule refl :args (@t12)) % 0.45/0.63 (step @p169 :rule nary_cong :premises (@p168 @p167 @p166) :args (@t29)) % 0.45/0.63 (step @p170 :rule cong :premises (@p64 @p169) :args (@t30)) % 0.45/0.63 (step @p171 :rule cong :premises (@p170) :args (@t31)) % 0.45/0.63 (step @p172 :rule trans :premises (@p171 @p137)) % 0.45/0.63 (step @p173 :rule eq_resolve :premises (@p5 @p172)) % 0.45/0.63 (step @p174 :rule eq-symm :args (@t120 @t16)) % 0.45/0.63 (step @p175 :rule cong :premises (@p174) :args (@t180)) % 0.45/0.63 (step @p176 :rule refl :args (@t181)) % 0.45/0.63 (step @p177 :rule nary_cong :premises (@p176 @p175) :args (@t182)) % 0.45/0.63 (step @p178 :rule cong :premises (@p177) :args (@t183)) % 0.45/0.63 (step @p179 :rule cong :premises (@p178) :args (@t184)) % 0.45/0.63 (step @p180 :rule eq-symm :args (@t120 @t22)) % 0.45/0.63 (step @p181 :rule refl :args (@t185)) % 0.45/0.63 (step @p182 :rule nary_cong :premises (@p181 @p180) :args (@t186)) % 0.45/0.63 (step @p183 :rule cong :premises (@p182 @p179) :args (@t187)) % 0.45/0.63 (step @p184 :rule refl :args (@t188)) % 0.45/0.63 (step @p185 :rule refl :args (@t170)) % 0.45/0.63 (step @p186 :rule nary_cong :premises (@p185 @p184 @p183) :args (@t189)) % 0.45/0.63 (step @p187 :rule cong :premises (@p186) :args (@t190)) % 0.45/0.63 (step @p188 :rule cong :premises (@p187) :args (@t191)) % 0.45/0.63 (step @p189 :rule refl :args (@t132)) % 0.45/0.63 (step @p190 :rule refl :args (@t133)) % 0.45/0.63 (step @p191 :rule nary_cong :premises (@p190 @p189 @p188) :args (@t192)) % 0.45/0.63 (step @p192 :rule refl :args (@t154)) % 0.45/0.63 (step @p193 :rule nary_cong :premises (@p192 @p191) :args (@t193)) % 0.45/0.63 (step @p194 :rule refl :args (@t194)) % 0.45/0.63 (step @p195 :rule cong :premises (@p194 @p193) :args ((=> @t194 @t193))) % 0.45/0.63 (assume-push @p374 @t194) % 0.45/0.63 (step @p197 :rule instantiate :premises (@p173) :args (@t121)) % 0.45/0.63 (step-pop @p375 :rule scope :premises (@p197)) % 0.45/0.63 (step @p198 :rule process_scope :premises (@p375) :args (@t193)) % 0.45/0.63 (step @p200 :rule eq_resolve :premises (@p198 @p195)) % 0.45/0.63 (step @p201 :rule implies_elim :premises (@p200)) % 0.45/0.63 (step @p202 :rule chain_m_resolution :premises (@p201 @p173) :args (@t197 @t145 (@list @t194))) % 0.45/0.63 (step @p203 :rule cnf_or_pos :args (@t197)) % 0.45/0.63 (step @p204 :rule reordering :premises (@p203) :args ((or @t154 @t196 (not @t197)))) % 0.45/0.63 (step @p205 :rule chain_m_resolution :premises (@p204 @p103 @p202) :args (@t196 @t143 (@list @t125 @t197))) % 0.45/0.63 (step @p206 :rule cnf_and_pos :args (@t196 1)) % 0.45/0.63 (step @p207 :rule 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:rule cong :premises (@p248) :args (@t221)) % 0.45/0.63 (step @p250 :rule exists-elim :args ((= @t77 @t221))) % 0.45/0.63 (step @p251 :rule trans :premises (@p250 @p249)) % 0.45/0.63 (step @p252 :rule cong :premises (@p251) :args (@t78)) % 0.45/0.63 (step @p253 :rule trans :premises (@p252 @p246)) % 0.45/0.63 (step @p254 :rule nary_cong :premises (@p253 @p214) :args (@t79)) % 0.45/0.63 (step @p255 :rule refl :args (@t81)) % 0.45/0.63 (step @p256 :rule cong :premises (@p255 @p254) :args (@t82)) % 0.45/0.63 (step @p257 :rule cong :premises (@p256) :args (@t84)) % 0.45/0.63 (step @p258 :rule trans :premises (@p257 @p245)) % 0.45/0.63 (step @p259 :rule eq_resolve :premises (@p12 @p258)) % 0.45/0.63 (step @p260 :rule refl :args (@t223)) % 0.45/0.63 (step @p261 :rule eq-symm :args (@t162 @t225)) % 0.45/0.63 (step @p262 :rule cong :premises (@p261) :args (@t226)) % 0.45/0.63 (step @p263 :rule eq-symm :args (@t227 @t228)) % 0.45/0.63 (step @p264 :rule cong :premises (@p263) :args (@t229)) % 0.45/0.63 (step @p265 :rule nary_cong :premises (@p264 @p262) :args (@t230)) % 0.45/0.63 (step @p266 :rule nary_cong :premises (@p265 @p260) :args (@t231)) % 0.45/0.63 (step @p267 :rule refl :args (@t136)) % 0.45/0.63 (step @p268 :rule refl :args (@t137)) % 0.45/0.63 (step @p269 :rule nary_cong :premises (@p268 @p267 @p266) :args (@t232)) % 0.45/0.63 (step @p270 :rule refl :args (@t233)) % 0.45/0.63 (step @p271 :rule cong :premises (@p270 @p269) :args ((=> @t233 @t232))) % 0.45/0.63 (assume-push @p376 @t233) % 0.45/0.63 (step @p273 :rule instantiate :premises (@p259) :args ((@list @t119 @t118 @t117 @t116 @t120 @t224))) % 0.45/0.63 (step-pop @p377 :rule scope :premises (@p273)) % 0.45/0.63 (step @p274 :rule process_scope :premises (@p377) :args (@t232)) % 0.45/0.63 (step @p276 :rule eq_resolve :premises (@p274 @p271)) % 0.45/0.63 (step @p277 :rule implies_elim :premises (@p276)) % 0.45/0.63 (step @p278 :rule chain_m_resolution :premises (@p277 @p259) :args (@t235 @t145 (@list @t233))) % 0.45/0.63 (step @p279 :rule cnf_or_pos :args (@t235)) % 0.45/0.63 (step @p280 :rule reordering :premises (@p279) :args ((or @t137 @t136 @t234 (not @t235)))) % 0.45/0.63 (step @p281 :rule chain_m_resolution :premises (@p280 @p97 @p109 @p278) :args (@t234 @t156 (@list @t124 @t135 @t235))) % 0.45/0.63 (step @p282 :rule cnf_and_pos :args (@t234 1)) % 0.45/0.63 (step @p283 :rule reordering :premises (@p282) :args ((or @t223 (not @t234)))) % 0.45/0.63 (step @p284 :rule chain_m_resolution :premises (@p283 @p281) :args (@t223 @t145 (@list @t234))) % 0.45/0.63 (step @p285 :rule bool-double-not-elim :args (@t222)) % 0.45/0.63 (step @p286 :rule refl :args (@t127)) % 0.45/0.63 (step @p287 :rule nary_cong :premises (@p267 @p286 @p285) :args ((or @t136 @t127 (not @t223)))) % 0.45/0.63 (assume-push @p378 @t135) % 0.45/0.63 (assume-push @p379 @t126) % 0.45/0.63 (assume-push @p380 @t223) % 0.45/0.63 (step @p291 :rule evaluate :args ((= false true))) % 0.45/0.63 (step @p292 :rule true_intro :premises (@p109)) % 0.45/0.63 (step @p293 :rule refl :args (@t120)) % 0.45/0.63 (step @p294 :rule symm :premises (@p379)) % 0.45/0.63 (step @p295 :rule cong :premises (@p294 @p379 @p293) :args (@t222)) % 0.45/0.63 (step @p296 :rule false_intro :premises (@p284)) % 0.45/0.63 (step @p297 :rule symm :premises (@p296)) % 0.45/0.63 (step @p298 :rule trans :premises (@p297 @p295 @p292)) % 0.45/0.63 (step @p299 false :rule eq_resolve :premises (@p298 @p291)) % 0.45/0.63 (step-pop @p381 :rule scope :premises (@p299)) % 0.45/0.63 (step-pop @p382 :rule scope :premises (@p381)) % 0.45/0.63 (step-pop @p383 :rule scope :premises (@p382)) % 0.45/0.63 (step @p300 :rule process_scope :premises (@p383) :args (false)) % 0.45/0.63 (step @p304 :rule not_and :premises (@p300)) % 0.45/0.63 (step @p305 :rule eq_resolve :premises (@p304 @p287)) % 0.45/0.63 (step @p306 :rule chain_m_resolution :premises (@p305 @p109 @p284) :args (@t127 (@list false true) (@list @t135 @t222))) % 0.45/0.63 (step @p307 :rule cnf_and_pos 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@t154))) % 0.45/0.63 (step @p321 :rule chain_m_resolution :premises (@p320 @p309 @p306 @p213 @p211 @p208 @p135 @p103) :args (@t237 (@list true true true false false false false) (@list @t130 @t126 @t134 @t133 @t132 @t128 @t125))) % 0.45/0.63 (step @p322 :rule cnf_and_pos :args (@t241 0)) % 0.45/0.63 (step @p323 :rule reordering :premises (@p322) :args ((or @t129 @t242))) % 0.45/0.63 (step @p324 :rule chain_m_resolution :premises (@p323 @p321) :args (@t242 @t139 @t243)) % 0.45/0.63 (step @p325 :rule cnf_equiv_pos1 :args (@t245)) % 0.45/0.63 (step @p326 :rule reordering :premises (@p325) :args ((or @t246 @t241 (not @t245)))) % 0.45/0.63 (step @p327 :rule chain_m_resolution :premises (@p326 @p324 @p116) :args (@t246 (@list true false) (@list @t241 @t245))) % 0.45/0.63 (step @p328 :rule bool-double-not-elim :args (@t244)) % 0.45/0.63 (step @p329 :rule refl :args (@t247)) % 0.45/0.63 (step @p330 :rule nary_cong :premises (@p329 @p328) :args ((or @t247 (not @t246)))) % 0.45/0.63 (step @p331 :rule cnf_or_neg :args (@t247 0)) % 0.45/0.63 (step @p332 :rule eq_resolve :premises (@p331 @p330)) % 0.45/0.63 (step @p333 :rule reordering :premises (@p332) :args ((or @t244 @t247))) % 0.45/0.63 (step @p334 :rule chain_m_resolution :premises (@p333 @p327) :args (@t247 @t139 (@list @t244))) % 0.45/0.63 (step @p335 :rule refl :args (@t248)) % 0.45/0.63 (step @p336 :rule bool-double-not-elim :args (@t149)) % 0.45/0.63 (step @p337 :rule nary_cong :premises (@p336 @p335) :args ((or (not @t150) @t248))) % 0.45/0.63 (assume-push @p384 @t150) % 0.45/0.63 (step @p339 :rule skolemize :premises (@p384)) % 0.45/0.63 (step-pop @p385 :rule scope :premises (@p339)) % 0.45/0.63 (step @p340 :rule process_scope :premises (@p385) :args (@t248)) % 0.45/0.63 (step @p342 :rule implies_elim :premises (@p340)) % 0.45/0.63 (step @p343 :rule eq_resolve :premises (@p342 @p337)) % 0.45/0.63 (step @p344 :rule chain_m_resolution :premises (@p343 @p334) :args (@t149 @t145 (@list @t247))) % 0.45/0.63 (step @p345 :rule bool-double-not-elim :args (@t147)) % 0.45/0.63 (step @p346 :rule refl :args (@t150)) % 0.45/0.63 (step @p347 :rule refl :args (@t249)) % 0.45/0.63 (step @p348 :rule nary_cong :premises (@p347 @p346 @p345) :args ((or @t249 @t150 (not @t148)))) % 0.45/0.63 (step @p349 :rule cnf_equiv_pos2 :args (@t151)) % 0.45/0.63 (step @p350 :rule eq_resolve :premises (@p349 @p348)) % 0.45/0.63 (step @p351 :rule reordering :premises (@p350) :args ((or @t150 @t147 @t249))) % 0.45/0.63 (step @p352 :rule chain_m_resolution :premises (@p351 @p344 @p115) :args (@t147 @t143 (@list @t149 @t151))) % 0.45/0.63 (step @p353 :rule cnf_and_pos :args (@t250 0)) % 0.45/0.63 (step @p354 :rule reordering :premises (@p353) :args ((or @t129 @t251))) % 0.45/0.63 (step @p355 :rule chain_m_resolution :premises (@p354 @p321) :args (@t251 @t139 @t243)) % 0.45/0.63 (step @p356 :rule eq-symm :args (@t240 @t161)) % 0.45/0.63 (step @p357 :rule refl :args (@t128)) % 0.45/0.63 (step @p358 :rule refl :args (@t129)) % 0.45/0.63 (step @p359 :rule nary_cong :premises (@p358 @p357 @p286 @p356) :args (@t252)) % 0.45/0.63 (step @p360 :rule refl :args (@t147)) % 0.45/0.63 (step @p361 :rule cong :premises (@p360 @p359) :args (@t253)) % 0.45/0.63 (step @p362 :rule refl :args (@t44)) % 0.45/0.63 (step @p363 :rule cong :premises (@p362 @p361) :args ((=> @t44 @t253))) % 0.45/0.63 (assume-push @p386 @t44) % 0.45/0.63 (step @p365 :rule instantiate :premises (@p8) :args ((@list @t117 @t116))) % 0.45/0.63 (step-pop @p387 :rule scope :premises (@p365)) % 0.45/0.63 (step @p366 :rule process_scope :premises (@p387) :args (@t253)) % 0.45/0.63 (step @p368 :rule eq_resolve :premises (@p366 @p363)) % 0.45/0.63 (step @p369 :rule implies_elim :premises (@p368)) % 0.45/0.63 (step @p370 :rule chain_m_resolution :premises (@p369 @p8) :args (@t254 @t145 (@list @t44))) % 0.45/0.63 (step @p371 :rule cnf_equiv_pos1 :args (@t254)) % 0.45/0.63 (step @p372 :rule reordering :premises (@p371) :args ((or @t148 @t250 (not @t254)))) % 0.45/0.63 (step @p373 false :rule chain_m_resolution :premises (@p372 @p370 @p355 @p352) :args (false (@list false true false) (@list @t254 @t250 @t147))) % 0.45/0.63 ) % 0.45/0.63 % SZS output end Proof % 0.45/0.63 % cvc5 exiting %------------------------------------------------------------------------------