%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRA011+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 : n007.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 08:18:32 AM UTC 2026 % Result : Theorem 206.54s 206.83s % Output : Proof 206.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRA011+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 % 0.17/0.35 % Computer : n007.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 00:13:56 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 206.54/206.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 206.54/206.83 --- Run --no-e-matching --full-saturate-quant at 6... % 206.54/206.83 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 206.54/206.83 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 206.54/206.83 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 206.54/206.83 --- Run --trigger-sel=max --full-saturate-quant at 15... % 206.54/206.83 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 206.54/206.83 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 206.54/206.83 --- Run --prenex-quant=none --full-saturate-quant at 30... % 206.54/206.83 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 206.54/206.83 --- Run --relevant-triggers --full-saturate-quant at 30... % 206.54/206.83 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 206.54/206.83 % SZS status Theorem % 206.54/206.83 % SZS output start Proof % 206.54/206.83 ( % 206.54/206.83 (declare-sort $$unsorted 0) % 206.54/206.83 (declare-const tptp.graph $$unsorted) % 206.54/206.83 (declare-const tptp.number_of_in (-> $$unsorted $$unsorted $$unsorted)) % 206.54/206.83 (declare-const tptp.edges $$unsorted) % 206.54/206.83 (declare-const tptp.triangle (-> $$unsorted $$unsorted $$unsorted Bool)) % 206.54/206.83 (declare-const tptp.shortest_path (-> $$unsorted $$unsorted $$unsorted Bool)) % 206.54/206.83 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 206.54/206.83 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 206.54/206.83 (declare-const tptp.tail_of (-> $$unsorted $$unsorted)) % 206.54/206.83 (declare-const tptp.triangles $$unsorted) % 206.54/206.83 (declare-const tptp.in_path (-> $$unsorted $$unsorted Bool)) % 206.54/206.83 (declare-const tptp.head_of (-> $$unsorted $$unsorted)) % 206.54/206.83 (declare-const tptp.sequential_pairs $$unsorted) % 206.54/206.83 (declare-const tptp.edge (-> $$unsorted Bool)) % 206.54/206.83 (declare-const tptp.path_cons (-> $$unsorted $$unsorted $$unsorted)) % 206.54/206.83 (declare-const tptp.precedes (-> $$unsorted $$unsorted $$unsorted Bool)) % 206.54/206.83 (declare-const tptp.complete Bool) % 206.54/206.83 (declare-const tptp.path (-> $$unsorted $$unsorted $$unsorted Bool)) % 206.54/206.83 (declare-const tptp.vertex (-> $$unsorted Bool)) % 206.54/206.83 (declare-const tptp.on_path (-> $$unsorted $$unsorted Bool)) % 206.54/206.83 (declare-const tptp.empty $$unsorted) % 206.54/206.83 (declare-const tptp.n1 $$unsorted) % 206.54/206.83 (declare-const tptp.sequential (-> $$unsorted $$unsorted Bool)) % 206.54/206.83 (declare-const tptp.length_of (-> $$unsorted $$unsorted)) % 206.54/206.83 (define @t1 () (@var "E" $$unsorted)) % 206.54/206.83 (define @t2 () (tptp.tail_of @t1)) % 206.54/206.83 (define @t3 () (tptp.head_of @t1)) % 206.54/206.83 (define @t4 () (not (= @t3 @t2))) % 206.54/206.83 (define @t5 () (tptp.edge @t1)) % 206.54/206.83 (define @t6 () (@list @t1)) % 206.54/206.83 (define @t7 () (forall @t6 (=> @t5 @t4))) % 206.54/206.83 (define @t8 () (and (tptp.vertex @t3) (tptp.vertex @t2))) % 206.54/206.83 (define @t9 () (forall @t6 (=> @t5 @t8))) % 206.54/206.83 (define @t10 () (@var "V1" $$unsorted)) % 206.54/206.83 (define @t11 () (= @t10 @t2)) % 206.54/206.83 (define @t12 () (@var "V2" $$unsorted)) % 206.54/206.83 (define @t13 () (= @t12 @t3)) % 206.54/206.83 (define @t14 () (and @t13 @t11)) % 206.54/206.83 (define @t15 () (and (= @t10 @t3) (= @t12 @t2))) % 206.54/206.83 (define @t16 () (xor @t15 @t14)) % 206.54/206.83 (define @t17 () (and @t5 @t16)) % 206.54/206.83 (define @t18 () (exists @t6 @t17)) % 206.54/206.83 (define @t19 () (= @t10 @t12)) % 206.54/206.83 (define @t20 () (not @t19)) % 206.54/206.83 (define @t21 () (tptp.vertex @t12)) % 206.54/206.83 (define @t22 () (tptp.vertex @t10)) % 206.54/206.83 (define @t23 () (and @t22 @t21 @t20)) % 206.54/206.83 (define @t24 () (=> @t23 @t18)) % 206.54/206.83 (define @t25 () (@list @t10 @t12)) % 206.54/206.83 (define @t26 () (forall @t25 @t24)) % 206.54/206.83 (define @t27 () (=> tptp.complete @t26)) % 206.54/206.83 (define @t28 () (@var "P" $$unsorted)) % 206.54/206.83 (define @t29 () (tptp.path @t10 @t12 @t28)) % 206.54/206.83 (define @t30 () (@var "TP" $$unsorted)) % 206.54/206.83 (define @t31 () (exists (@list @t30) (and (tptp.path @t3 @t12 @t30) (= @t28 (tptp.path_cons @t1 @t30))))) % 206.54/206.83 (define @t32 () (and @t13 (= @t28 (tptp.path_cons @t1 tptp.empty)))) % 206.54/206.83 (define @t33 () (@list @t10 @t12 @t28)) % 206.54/206.83 (define @t34 () (and @t5 (tptp.in_path @t3 @t28) (tptp.in_path @t2 @t28))) % 206.54/206.83 (define @t35 () (tptp.on_path @t1 @t28)) % 206.54/206.83 (define @t36 () (and @t29 @t35)) % 206.54/206.83 (define @t37 () (@list @t10 @t12 @t28 @t1)) % 206.54/206.83 (define @t38 () (forall @t37 (=> @t36 @t34))) % 206.54/206.83 (define @t39 () (@var "V" $$unsorted)) % 206.54/206.83 (define @t40 () (or (= @t39 @t3) (= @t39 @t2))) % 206.54/206.83 (define @t41 () (and @t35 @t40)) % 206.54/206.83 (define @t42 () (exists @t6 @t41)) % 206.54/206.83 (define @t43 () (tptp.vertex @t39)) % 206.54/206.83 (define @t44 () (and @t43 @t42)) % 206.54/206.83 (define @t45 () (tptp.in_path @t39 @t28)) % 206.54/206.83 (define @t46 () (and @t29 @t45)) % 206.54/206.83 (define @t47 () (=> @t46 @t44)) % 206.54/206.83 (define @t48 () (@list @t10 @t12 @t28 @t39)) % 206.54/206.83 (define @t49 () (forall @t48 @t47)) % 206.54/206.83 (define @t50 () (@var "E2" $$unsorted)) % 206.54/206.83 (define @t51 () (@var "E1" $$unsorted)) % 206.54/206.83 (define @t52 () (not (= @t51 @t50))) % 206.54/206.83 (define @t53 () (tptp.edge @t50)) % 206.54/206.83 (define @t54 () (tptp.edge @t51)) % 206.54/206.83 (define @t55 () (tptp.sequential @t51 @t50)) % 206.54/206.83 (define @t56 () (@list @t51 @t50)) % 206.54/206.83 (define @t57 () (forall @t56 (= @t55 (and @t54 @t53 @t52 (= (tptp.head_of @t51) (tptp.tail_of @t50)))))) % 206.54/206.83 (define @t58 () (tptp.precedes @t51 @t50 @t28)) % 206.54/206.83 (define @t59 () (@var "E3" $$unsorted)) % 206.54/206.83 (define @t60 () (tptp.precedes @t59 @t50 @t28)) % 206.54/206.83 (define @t61 () (tptp.sequential @t51 @t59)) % 206.54/206.83 (define @t62 () (and @t61 @t60)) % 206.54/206.83 (define @t63 () (@list @t59)) % 206.54/206.83 (define @t64 () (exists @t63 @t62)) % 206.54/206.83 (define @t65 () (or @t55 @t64)) % 206.54/206.83 (define @t66 () (tptp.on_path @t50 @t28)) % 206.54/206.83 (define @t67 () (tptp.on_path @t51 @t28)) % 206.54/206.83 (define @t68 () (and @t67 @t66 @t65)) % 206.54/206.83 (define @t69 () (=> @t68 @t58)) % 206.54/206.83 (define @t70 () (forall @t56 @t69)) % 206.54/206.83 (define @t71 () (=> @t29 @t70)) % 206.54/206.83 (define @t72 () (@list @t28 @t10 @t12)) % 206.54/206.83 (define @t73 () (forall @t72 @t71)) % 206.54/206.83 (define @t74 () (xor @t55 @t64)) % 206.54/206.83 (define @t75 () (and @t67 @t66 @t74)) % 206.54/206.83 (define @t76 () (=> @t58 @t75)) % 206.54/206.83 (define @t77 () (forall @t56 @t76)) % 206.54/206.83 (define @t78 () (=> @t29 @t77)) % 206.54/206.83 (define @t79 () (forall @t72 @t78)) % 206.54/206.83 (define @t80 () (tptp.length_of @t28)) % 206.54/206.83 (define @t81 () (@var "SP" $$unsorted)) % 206.54/206.83 (define @t82 () (tptp.less_or_equal (tptp.length_of @t81) @t80)) % 206.54/206.83 (define @t83 () (@list @t28)) % 206.54/206.83 (define @t84 () (forall @t83 (=> @t29 @t82))) % 206.54/206.83 (define @t85 () (tptp.path @t10 @t12 @t81)) % 206.54/206.83 (define @t86 () (and @t85 @t20 @t84)) % 206.54/206.83 (define @t87 () (tptp.shortest_path @t10 @t12 @t81)) % 206.54/206.83 (define @t88 () (= @t87 @t86)) % 206.54/206.83 (define @t89 () (@list @t10 @t12 @t81)) % 206.54/206.83 (define @t90 () (forall @t89 @t88)) % 206.54/206.83 (define @t91 () (not (tptp.precedes @t50 @t51 @t28))) % 206.54/206.83 (define @t92 () (tptp.head_of @t50)) % 206.54/206.83 (define @t93 () (= (tptp.head_of @t59) @t92)) % 206.54/206.83 (define @t94 () (tptp.tail_of @t51)) % 206.54/206.83 (define @t95 () (= (tptp.tail_of @t59) @t94)) % 206.54/206.83 (define @t96 () (and @t95 @t93)) % 206.54/206.83 (define @t97 () (exists @t63 @t96)) % 206.54/206.83 (define @t98 () (not @t97)) % 206.54/206.83 (define @t99 () (and @t98 @t91)) % 206.54/206.83 (define @t100 () (tptp.shortest_path @t10 @t12 @t28)) % 206.54/206.83 (define @t101 () (and @t100 @t58)) % 206.54/206.83 (define @t102 () (=> @t101 @t99)) % 206.54/206.83 (define @t103 () (@list @t10 @t12 @t51 @t50 @t28)) % 206.54/206.83 (define @t104 () (forall @t103 @t102)) % 206.54/206.83 (define @t105 () (tptp.triangle @t51 @t50 @t59)) % 206.54/206.83 (define @t106 () (tptp.number_of_in tptp.sequential_pairs @t28)) % 206.54/206.83 (define @t107 () (= @t106 (tptp.number_of_in tptp.triangles @t28))) % 206.54/206.83 (define @t108 () (exists @t63 @t105)) % 206.54/206.83 (define @t109 () (and @t67 @t66 @t55)) % 206.54/206.83 (define @t110 () (=> @t109 @t108)) % 206.54/206.83 (define @t111 () (forall @t56 @t110)) % 206.54/206.83 (define @t112 () (and @t29 @t111)) % 206.54/206.83 (define @t113 () (=> @t112 @t107)) % 206.54/206.83 (define @t114 () (forall @t72 @t113)) % 206.54/206.83 (define @t115 () (@var "Things" $$unsorted)) % 206.54/206.83 (define @t116 () (@var "InThese" $$unsorted)) % 206.54/206.83 (define @t117 () (forall @t72 (=> @t100 @t107))) % 206.54/206.83 (define @t118 () (=> tptp.complete @t117)) % 206.54/206.83 (define @t119 () (not @t118)) % 206.54/206.83 (define @t120 () (@var "b_P" it_15_$$unsorted)) % 206.54/206.83 (define @t121 () (@const 0 it_90_$$unsorted)) % 206.54/206.83 (define @t122 () (@const 1 (-> it_90_$$unsorted it_15_$$unsorted it_71_$$unsorted))) % 206.54/206.83 (define @t123 () (@const 2 it_90_$$unsorted)) % 206.54/206.83 (define @t124 () (not (forall @t63 (not @t105)))) % 206.54/206.83 (define @t125 () (not @t55)) % 206.54/206.83 (define @t126 () (@const 3 (-> $$unsorted it_15_$$unsorted Bool))) % 206.54/206.83 (define @t127 () (@var "b_V2" it_4_$$unsorted)) % 206.54/206.83 (define @t128 () (@var "b_V1" it_4_$$unsorted)) % 206.54/206.83 (define @t129 () (@const 4 (-> it_4_$$unsorted it_4_$$unsorted it_15_$$unsorted Bool))) % 206.54/206.83 (define @t130 () (not @t66)) % 206.54/206.83 (define @t131 () (not @t67)) % 206.54/206.83 (define @t132 () (or @t131 @t130 @t125 @t124)) % 206.54/206.83 (define @t133 () (forall @t56 @t132)) % 206.54/206.83 (define @t134 () (not @t133)) % 206.54/206.83 (define @t135 () (not @t29)) % 206.54/206.83 (define @t136 () (or @t135 @t134 @t107)) % 206.54/206.83 (define @t137 () (and @t29 @t133)) % 206.54/206.83 (define @t138 () (or @t131 @t130 @t125)) % 206.54/206.83 (define @t139 () (@var "b_P" it_15_$$unsorted)) % 206.54/206.83 (define @t140 () (@var "b_V2" it_4_$$unsorted)) % 206.54/206.83 (define @t141 () (@var "b_V1" it_4_$$unsorted)) % 206.54/206.83 (define @t142 () (@const 5 (-> it_4_$$unsorted it_4_$$unsorted it_15_$$unsorted Bool))) % 206.54/206.83 (define @t143 () (forall (@list @t139 @t141 @t140) (or (not (_ @t142 @t141 @t140 @t139)) (= (_ @t122 @t123 @t139) (_ @t122 @t121 @t139))))) % 206.54/206.83 (define @t144 () (@quantifiers_skolemize @t143 2)) % 206.54/206.83 (define @t145 () (@quantifiers_skolemize @t143 1)) % 206.54/206.83 (define @t146 () (@quantifiers_skolemize @t143 0)) % 206.54/206.83 (define @t147 () (@var "b_P" it_15_$$unsorted)) % 206.54/206.83 (define @t148 () (@const 6 (-> it_15_$$unsorted it_71_$$unsorted))) % 206.54/206.83 (define @t149 () (_ @t148 @t147)) % 206.54/206.83 (define @t150 () (@var "b_SP" it_15_$$unsorted)) % 206.54/206.83 (define @t151 () (@const 7 (-> it_71_$$unsorted it_71_$$unsorted Bool))) % 206.54/206.83 (define @t152 () (@var "b_V2" it_4_$$unsorted)) % 206.54/206.83 (define @t153 () (@var "b_V1" it_4_$$unsorted)) % 206.54/206.83 (define @t154 () (@list @t147)) % 206.54/206.83 (define @t155 () (=> tptp.complete @t143)) % 206.54/206.83 (define @t156 () (not @t155)) % 206.54/206.83 (define @t157 () (not @t100)) % 206.54/206.83 (define @t158 () (_ @t142 @t145 @t144 @t146)) % 206.54/206.83 (define @t159 () (= (_ @t122 @t123 @t146) (_ @t122 @t121 @t146))) % 206.54/206.83 (define @t160 () (not @t158)) % 206.54/206.83 (define @t161 () (or @t160 @t159)) % 206.54/206.83 (define @t162 () (@list true)) % 206.54/206.83 (define @t163 () (@list @t161)) % 206.54/206.83 (define @t164 () (_ @t129 @t145 @t144 @t146)) % 206.54/206.83 (define @t165 () (and @t164 (not (= @t145 @t144)) (forall @t154 (or (not (_ @t129 @t145 @t144 @t147)) (_ @t151 (_ @t148 @t146) @t149))))) % 206.54/206.83 (define @t166 () (= @t158 @t165)) % 206.54/206.83 (define @t167 () (@list false false)) % 206.54/206.83 (define @t168 () (@list false)) % 206.54/206.83 (define @t169 () (forall @t56 (or (not (_ @t126 @t51 @t146)) (not (_ @t126 @t50 @t146)) @t125 @t124))) % 206.54/206.83 (define @t170 () (not @t169)) % 206.54/206.83 (define @t171 () (not @t164)) % 206.54/206.83 (define @t172 () (or @t171 @t170 @t159)) % 206.54/206.83 (define @t173 () (@quantifiers_skolemize @t169 1)) % 206.54/206.83 (define @t174 () (@quantifiers_skolemize @t169 0)) % 206.54/206.83 (define @t175 () (forall @t63 (not (tptp.triangle @t174 @t173 @t59)))) % 206.54/206.83 (define @t176 () (not @t175)) % 206.54/206.83 (define @t177 () (tptp.sequential @t174 @t173)) % 206.54/206.83 (define @t178 () (not @t177)) % 206.54/206.83 (define @t179 () (_ @t126 @t173 @t146)) % 206.54/206.83 (define @t180 () (not @t179)) % 206.54/206.83 (define @t181 () (_ @t126 @t174 @t146)) % 206.54/206.83 (define @t182 () (not @t181)) % 206.54/206.83 (define @t183 () (or @t182 @t180 @t178 @t176)) % 206.54/206.83 (define @t184 () (@list @t183)) % 206.54/206.83 (define @t185 () (@const 8 (-> $$unsorted it_4_$$unsorted))) % 206.54/206.83 (define @t186 () (_ @t185 @t173)) % 206.54/206.83 (define @t187 () (@const 9 (-> $$unsorted it_4_$$unsorted))) % 206.54/206.83 (define @t188 () (_ @t187 @t1)) % 206.54/206.83 (define @t189 () (_ @t187 @t174)) % 206.54/206.83 (define @t190 () (_ @t185 @t1)) % 206.54/206.83 (define @t191 () (= @t190 @t189)) % 206.54/206.83 (define @t192 () (= @t188 @t189)) % 206.54/206.83 (define @t193 () (not @t5)) % 206.54/206.83 (define @t194 () (forall @t6 (or @t193 (= (and (= @t190 @t186) @t192) (and @t191 (= @t188 @t186)))))) % 206.54/206.83 (define @t195 () (@quantifiers_skolemize @t194 0)) % 206.54/206.83 (define @t196 () (forall @t56 (= @t55 (and @t54 @t53 @t52 (= (_ @t185 @t51) (_ @t187 @t50)))))) % 206.54/206.83 (define @t197 () (forall @t6 (or @t193 (not (= @t190 @t188))))) % 206.54/206.83 (define @t198 () (_ @t187 @t173)) % 206.54/206.83 (define @t199 () (not (= @t186 @t198))) % 206.54/206.83 (define @t200 () (tptp.edge @t173)) % 206.54/206.83 (define @t201 () (not @t200)) % 206.54/206.83 (define @t202 () (or @t201 @t199)) % 206.54/206.83 (define @t203 () (@list @t173)) % 206.54/206.83 (define @t204 () (= @t198 @t186)) % 206.54/206.83 (define @t205 () (not @t204)) % 206.54/206.83 (define @t206 () (or @t201 @t205)) % 206.54/206.83 (define @t207 () (_ @t185 @t174)) % 206.54/206.83 (define @t208 () (= @t174 @t173)) % 206.54/206.83 (define @t209 () (not @t208)) % 206.54/206.83 (define @t210 () (tptp.edge @t174)) % 206.54/206.83 (define @t211 () (and @t210 @t200 @t209 (= @t207 @t198))) % 206.54/206.83 (define @t212 () (= @t177 @t211)) % 206.54/206.83 (define @t213 () (not @t211)) % 206.54/206.83 (define @t214 () (@list @t211)) % 206.54/206.83 (define @t215 () (@var "b_V1" it_4_$$unsorted)) % 206.54/206.83 (define @t216 () (@var "b_V2" it_4_$$unsorted)) % 206.54/206.83 (define @t217 () (@const 10 (-> it_4_$$unsorted Bool))) % 206.54/206.83 (define @t218 () (forall (@list @t215 @t216) (or (not (_ @t217 @t215)) (not (_ @t217 @t216)) (= @t215 @t216) (not (forall @t6 (or @t193 (= (and (= @t190 @t215) (= @t188 @t216)) (and (= @t190 @t216) (= @t188 @t215))))))))) % 206.54/206.83 (define @t219 () (=> tptp.complete @t218)) % 206.54/206.83 (define @t220 () (and (= @t3 @t12) (= @t2 @t10))) % 206.54/206.83 (define @t221 () (and (= @t3 @t10) (= @t2 @t12))) % 206.54/206.83 (define @t222 () (not (forall @t6 (or @t193 (= @t221 @t220))))) % 206.54/206.83 (define @t223 () (not @t21)) % 206.54/206.83 (define @t224 () (not @t22)) % 206.54/206.83 (define @t225 () (or @t224 @t223 @t19 @t222)) % 206.54/206.83 (define @t226 () (not @t20)) % 206.54/206.83 (define @t227 () (or @t224 @t223 @t226)) % 206.54/206.83 (define @t228 () (xor @t221 @t220)) % 206.54/206.83 (define @t229 () (and @t5 @t228)) % 206.54/206.83 (define @t230 () (forall @t6 (not @t229))) % 206.54/206.83 (define @t231 () (not @t230)) % 206.54/206.83 (define @t232 () (= @t186 @t189)) % 206.54/206.83 (define @t233 () (not (= @t173 @t174))) % 206.54/206.83 (define @t234 () (and @t200 @t210 @t233 @t232)) % 206.54/206.83 (define @t235 () (tptp.sequential @t173 @t174)) % 206.54/206.83 (define @t236 () (= @t235 @t234)) % 206.54/206.83 (define @t237 () (and @t200 @t210 @t209 @t232)) % 206.54/206.83 (define @t238 () (= @t235 @t237)) % 206.54/206.83 (define @t239 () (@list @t196)) % 206.54/206.83 (define @t240 () (@var "b_P" it_15_$$unsorted)) % 206.54/206.83 (define @t241 () (@var "BOUND_VARIABLE_7830" $$unsorted)) % 206.54/206.83 (define @t242 () (@var "BOUND_VARIABLE_7828" $$unsorted)) % 206.54/206.83 (define @t243 () (@const 11 (-> $$unsorted $$unsorted it_15_$$unsorted Bool))) % 206.54/206.83 (define @t244 () (@var "BOUND_VARIABLE_7832" $$unsorted)) % 206.54/206.83 (define @t245 () (not (tptp.sequential @t242 @t244))) % 206.54/206.83 (define @t246 () (not (tptp.sequential @t242 @t241))) % 206.54/206.83 (define @t247 () (@var "b_V2" it_4_$$unsorted)) % 206.54/206.83 (define @t248 () (@var "b_V1" it_4_$$unsorted)) % 206.54/206.83 (define @t249 () (tptp.precedes @t242 @t241 @t28)) % 206.54/206.83 (define @t250 () (and @t246 (or @t245 (not (tptp.precedes @t244 @t241 @t28))))) % 206.54/206.83 (define @t251 () (not (tptp.on_path @t241 @t28))) % 206.54/206.83 (define @t252 () (not (tptp.on_path @t242 @t28))) % 206.54/206.83 (define @t253 () (or @t135 @t252 @t251 @t250 @t249)) % 206.54/206.83 (define @t254 () (@list @t28 @t10 @t12 @t242 @t241 @t244)) % 206.54/206.83 (define @t255 () (or @t252 @t251 @t250 @t249)) % 206.54/206.83 (define @t256 () (or @t135 @t255)) % 206.54/206.83 (define @t257 () (forall @t254 @t256)) % 206.54/206.83 (define @t258 () (@list @t242 @t241 @t244)) % 206.54/206.83 (define @t259 () (forall @t258 @t256)) % 206.54/206.83 (define @t260 () (forall @t258 @t255)) % 206.54/206.83 (define @t261 () (@var "BOUND_VARIABLE_7813" $$unsorted)) % 206.54/206.83 (define @t262 () (or @t135 @t260)) % 206.54/206.83 (define @t263 () (or (not (tptp.sequential @t51 @t261)) (not (tptp.precedes @t261 @t50 @t28)))) % 206.54/206.83 (define @t264 () (and @t125 @t263)) % 206.54/206.83 (define @t265 () (or @t131 @t130 @t264 @t58)) % 206.54/206.83 (define @t266 () (forall (@list @t51 @t50 @t261) @t265)) % 206.54/206.83 (define @t267 () (@list @t261)) % 206.54/206.83 (define @t268 () (forall @t267 @t265)) % 206.54/206.83 (define @t269 () (forall @t267 @t263)) % 206.54/206.83 (define @t270 () (@list @t59)) % 206.54/206.83 (define @t271 () (forall @t267 @t125)) % 206.54/206.83 (define @t272 () (and @t271 @t269)) % 206.54/206.83 (define @t273 () (forall @t267 @t264)) % 206.54/206.83 (define @t274 () (or @t131 @t130 @t273 @t58)) % 206.54/206.83 (define @t275 () (forall @t63 (or (not @t61) (not @t60)))) % 206.54/206.83 (define @t276 () (and @t125 @t275)) % 206.54/206.83 (define @t277 () (or @t131 @t130 @t276 @t58)) % 206.54/206.83 (define @t278 () (not @t275)) % 206.54/206.83 (define @t279 () (or @t55 @t278)) % 206.54/206.83 (define @t280 () (not @t279)) % 206.54/206.83 (define @t281 () (or @t131 @t130 @t280)) % 206.54/206.83 (define @t282 () (and @t67 @t66 @t279)) % 206.54/206.83 (define @t283 () (forall @t63 (not @t62))) % 206.54/206.83 (define @t284 () (not @t283)) % 206.54/206.83 (define @t285 () (@var "b_P" it_15_$$unsorted)) % 206.54/206.83 (define @t286 () (@var "BOUND_VARIABLE_7873" $$unsorted)) % 206.54/206.83 (define @t287 () (@var "BOUND_VARIABLE_7871" $$unsorted)) % 206.54/206.83 (define @t288 () (not (tptp.sequential @t287 @t59))) % 206.54/206.83 (define @t289 () (not (tptp.sequential @t287 @t286))) % 206.54/206.83 (define @t290 () (@var "b_V2" it_4_$$unsorted)) % 206.54/206.83 (define @t291 () (@var "b_V1" it_4_$$unsorted)) % 206.54/206.83 (define @t292 () (and (tptp.on_path @t287 @t28) (tptp.on_path @t286 @t28) (= (not (forall @t63 (or @t288 (not (tptp.precedes @t59 @t286 @t28))))) @t289))) % 206.54/206.83 (define @t293 () (not (tptp.precedes @t287 @t286 @t28))) % 206.54/206.83 (define @t294 () (or @t135 @t293 @t292)) % 206.54/206.83 (define @t295 () (@list @t28 @t10 @t12 @t287 @t286)) % 206.54/206.83 (define @t296 () (or @t293 @t292)) % 206.54/206.83 (define @t297 () (or @t135 @t296)) % 206.54/206.83 (define @t298 () (forall @t295 @t297)) % 206.54/206.83 (define @t299 () (@list @t287 @t286)) % 206.54/206.83 (define @t300 () (forall @t299 @t297)) % 206.54/206.83 (define @t301 () (forall @t299 @t296)) % 206.54/206.83 (define @t302 () (or @t135 @t301)) % 206.54/206.83 (define @t303 () (not @t58)) % 206.54/206.83 (define @t304 () (forall @t56 (or @t303 (and @t67 @t66 (= @t278 @t125))))) % 206.54/206.83 (define @t305 () (and @t67 @t66 (= @t125 @t278))) % 206.54/206.83 (define @t306 () (or @t303 @t305)) % 206.54/206.83 (define @t307 () (and @t67 @t66 (xor @t55 @t278))) % 206.54/206.83 (define @t308 () (_ @t243 @t173 @t173 @t146)) % 206.54/206.83 (define @t309 () (not @t308)) % 206.54/206.83 (define @t310 () (or @t178 @t309)) % 206.54/206.83 (define @t311 () (and @t178 @t310)) % 206.54/206.83 (define @t312 () (not @t311)) % 206.54/206.83 (define @t313 () (_ @t243 @t174 @t173 @t146)) % 206.54/206.83 (define @t314 () (or @t171 @t182 @t180 @t311 @t313)) % 206.54/206.83 (define @t315 () (forall @t63 (or (not (tptp.sequential @t174 @t59)) (not (_ @t243 @t59 @t173 @t146))))) % 206.54/206.83 (define @t316 () (not @t315)) % 206.54/206.83 (define @t317 () (= @t178 @t316)) % 206.54/206.83 (define @t318 () (and @t181 @t179 @t317)) % 206.54/206.83 (define @t319 () (not @t313)) % 206.54/206.83 (define @t320 () (or @t171 @t319 @t318)) % 206.54/206.83 (define @t321 () (@list false false false)) % 206.54/206.83 (define @t322 () (not @t317)) % 206.54/206.83 (define @t323 () (not @t235)) % 206.54/206.83 (define @t324 () (or @t323 @t319)) % 206.54/206.83 (define @t325 () (and (not (tptp.sequential @t173 @t173)) @t324)) % 206.54/206.83 (define @t326 () (or @t171 @t180 @t180 @t325 @t308)) % 206.54/206.83 (define @t327 () (@list false false true false)) % 206.54/206.83 (define @t328 () (not @t237)) % 206.54/206.83 (define @t329 () (not @t232)) % 206.54/206.83 (define @t330 () (not @t210)) % 206.54/206.83 (define @t331 () (@var "b_V" it_4_$$unsorted)) % 206.54/206.83 (define @t332 () (@var "b_P" it_15_$$unsorted)) % 206.54/206.83 (define @t333 () (@const 12 (-> it_4_$$unsorted it_15_$$unsorted Bool))) % 206.54/206.83 (define @t334 () (@var "b_V2" it_4_$$unsorted)) % 206.54/206.83 (define @t335 () (@var "b_V1" it_4_$$unsorted)) % 206.54/206.83 (define @t336 () (= @t2 @t39)) % 206.54/206.83 (define @t337 () (= @t3 @t39)) % 206.54/206.83 (define @t338 () (not @t35)) % 206.54/206.83 (define @t339 () (and @t43 (not (forall @t6 (or @t338 (and (not @t337) (not @t336))))))) % 206.54/206.83 (define @t340 () (not @t45)) % 206.54/206.83 (define @t341 () (or @t135 @t340 @t339)) % 206.54/206.83 (define @t342 () (or @t337 @t336)) % 206.54/206.83 (define @t343 () (and @t35 @t342)) % 206.54/206.83 (define @t344 () (forall @t6 (not @t343))) % 206.54/206.83 (define @t345 () (not @t344)) % 206.54/206.83 (define @t346 () (@var "b_P" it_15_$$unsorted)) % 206.54/206.83 (define @t347 () (@var "b_V2" it_4_$$unsorted)) % 206.54/206.83 (define @t348 () (@var "b_V1" it_4_$$unsorted)) % 206.54/206.83 (define @t349 () (or @t135 @t338 @t34)) % 206.54/206.83 (define @t350 () (_ @t333 @t189 @t146)) % 206.54/206.83 (define @t351 () (and @t210 (_ @t333 @t207 @t146) @t350)) % 206.54/206.83 (define @t352 () (or @t171 @t182 @t351)) % 206.54/206.83 (define @t353 () (_ @t217 @t189)) % 206.54/206.83 (define @t354 () (and @t353 (not (forall @t6 (or (not (_ @t126 @t1 @t146)) (and (not @t191) (not @t192))))))) % 206.54/206.83 (define @t355 () (not @t350)) % 206.54/206.83 (define @t356 () (or @t171 @t355 @t354)) % 206.54/206.83 (define @t357 () (_ @t217 @t186)) % 206.54/206.83 (define @t358 () (and @t357 (_ @t217 @t198))) % 206.54/206.83 (define @t359 () (or @t201 @t358)) % 206.54/206.83 (define @t360 () (not @t194)) % 206.54/206.83 (define @t361 () (not @t353)) % 206.54/206.83 (define @t362 () (not @t357)) % 206.54/206.83 (define @t363 () (or @t362 @t361 @t232 @t360)) % 206.54/206.83 (define @t364 () (_ @t187 @t195)) % 206.54/206.83 (define @t365 () (= @t186 @t364)) % 206.54/206.83 (define @t366 () (_ @t185 @t195)) % 206.54/206.84 (define @t367 () (= @t189 @t366)) % 206.54/206.84 (define @t368 () (and @t367 @t365)) % 206.54/206.84 (define @t369 () (= @t189 @t364)) % 206.54/206.84 (define @t370 () (= @t186 @t366)) % 206.54/206.84 (define @t371 () (and @t370 @t369)) % 206.54/206.84 (define @t372 () (= @t371 @t368)) % 206.54/206.84 (define @t373 () (tptp.edge @t195)) % 206.54/206.84 (define @t374 () (not @t373)) % 206.54/206.84 (define @t375 () (or @t374 @t372)) % 206.54/206.84 (define @t376 () (not @t375)) % 206.54/206.84 (define @t377 () (= @t366 @t189)) % 206.54/206.84 (define @t378 () (and @t377 (= @t364 @t186))) % 206.54/206.84 (define @t379 () (and (= @t366 @t186) (= @t364 @t189))) % 206.54/206.84 (define @t380 () (= @t379 @t378)) % 206.54/206.84 (define @t381 () (or @t374 @t380)) % 206.54/206.84 (define @t382 () (not @t381)) % 206.54/206.84 (define @t383 () (@list @t375)) % 206.54/206.84 (define @t384 () (@var "b_P" it_15_$$unsorted)) % 206.54/206.84 (define @t385 () (@var "BOUND_VARIABLE_7920" $$unsorted)) % 206.54/206.84 (define @t386 () (@var "b_V2" it_4_$$unsorted)) % 206.54/206.84 (define @t387 () (@var "b_V1" it_4_$$unsorted)) % 206.54/206.84 (define @t388 () (tptp.head_of @t385)) % 206.54/206.84 (define @t389 () (tptp.tail_of @t385)) % 206.54/206.84 (define @t390 () (@list @t10 @t12 @t51 @t50 @t28 @t385)) % 206.54/206.84 (define @t391 () (not (= @t388 @t92))) % 206.54/206.84 (define @t392 () (not (= @t389 @t94))) % 206.54/206.84 (define @t393 () (or @t392 @t391)) % 206.54/206.84 (define @t394 () (and @t393 @t91)) % 206.54/206.84 (define @t395 () (or @t157 @t303 @t394)) % 206.54/206.84 (define @t396 () (forall @t390 @t395)) % 206.54/206.84 (define @t397 () (@list @t385)) % 206.54/206.84 (define @t398 () (forall @t397 @t395)) % 206.54/206.84 (define @t399 () (forall @t397 @t91)) % 206.54/206.84 (define @t400 () (forall @t397 @t393)) % 206.54/206.84 (define @t401 () (and @t400 @t399)) % 206.54/206.84 (define @t402 () (forall @t397 @t394)) % 206.54/206.84 (define @t403 () (or @t157 @t303 @t402)) % 206.54/206.84 (define @t404 () (forall @t63 (or (not @t95) (not @t93)))) % 206.54/206.84 (define @t405 () (and @t404 @t91)) % 206.54/206.84 (define @t406 () (or @t157 @t303 @t405)) % 206.54/206.84 (define @t407 () (forall @t63 (not @t96))) % 206.54/206.84 (define @t408 () (not @t407)) % 206.54/206.84 (define @t409 () (not @t370)) % 206.54/206.84 (define @t410 () (not @t369)) % 206.54/206.84 (define @t411 () (or @t410 @t409)) % 206.54/206.84 (define @t412 () (and @t411 (not (_ @t243 @t173 @t174 @t146)))) % 206.54/206.84 (define @t413 () (or @t160 @t319 @t412)) % 206.54/206.84 (define @t414 () (not @t371)) % 206.54/206.84 (define @t415 () (not @t368)) % 206.54/206.84 (define @t416 () (not @t367)) % 206.54/206.84 (define @t417 () (and @t367 @t370 @t329)) % 206.54/206.84 (define @t418 () (@list @t368)) % 206.54/206.84 (define @t419 () (= @t173 @t195)) % 206.54/206.84 (define @t420 () (and @t365 @t419)) % 206.54/206.84 (define @t421 () (not @t419)) % 206.54/206.84 (define @t422 () (not @t365)) % 206.54/206.84 (define @t423 () (and @t200 @t373 @t421 @t365)) % 206.54/206.84 (define @t424 () (@list false false false true)) % 206.54/206.84 (define @t425 () (tptp.sequential @t173 @t195)) % 206.54/206.84 (define @t426 () (= @t425 @t423)) % 206.54/206.84 (define @t427 () (not (= @t195 @t174))) % 206.54/206.84 (define @t428 () (and @t373 @t210 @t427 @t377)) % 206.54/206.84 (define @t429 () (tptp.sequential @t195 @t174)) % 206.54/206.84 (define @t430 () (= @t429 @t428)) % 206.54/206.84 (define @t431 () (= @t174 @t195)) % 206.54/206.84 (define @t432 () (not @t431)) % 206.54/206.84 (define @t433 () (and @t373 @t210 @t432 @t367)) % 206.54/206.84 (define @t434 () (= @t429 @t433)) % 206.54/206.84 (define @t435 () (and @t367 @t365 @t431)) % 206.54/206.84 (define @t436 () (and @t210 @t200 @t373 @t177 @t425 @t429)) % 206.54/206.84 (define @t437 () (tptp.triangle @t174 @t173 @t195)) % 206.54/206.84 (define @t438 () (= @t437 @t436)) % 206.54/206.84 (assume @p1 @t7) % 206.54/206.84 (assume @p2 @t9) % 206.54/206.84 (assume @p3 @t27) % 206.54/206.84 (assume @p4 (forall @t33 (=> (and @t22 @t21 (exists @t6 (and @t5 @t11 (or @t32 @t31)))) @t29))) % 206.54/206.84 (assume @p5 (forall @t33 (=> @t29 (and @t22 @t21 (exists @t6 (and @t5 @t11 (xor @t32 @t31))))))) % 206.54/206.84 (assume @p6 @t38) % 206.54/206.84 (assume @p7 @t49) % 206.54/206.84 (assume @p8 @t57) % 206.54/206.84 (assume @p9 @t73) % 206.54/206.84 (assume @p10 @t79) % 206.54/206.84 (assume @p11 @t90) % 206.54/206.84 (assume @p12 @t104) % 206.54/206.84 (assume @p13 (forall (@list @t51 @t50 @t59) (= @t105 (and @t54 @t53 (tptp.edge @t59) @t55 (tptp.sequential @t50 @t59) (tptp.sequential @t59 @t51))))) % 206.54/206.84 (assume @p14 (forall @t33 (=> @t29 (= @t80 (tptp.number_of_in tptp.edges @t28))))) % 206.54/206.84 (assume @p15 (forall @t33 (=> @t29 (= @t106 (tptp.minus @t80 tptp.n1))))) % 206.54/206.84 (assume @p16 @t114) % 206.54/206.84 (assume @p17 (forall (@list @t115 @t116) (tptp.less_or_equal (tptp.number_of_in @t115 @t116) (tptp.number_of_in @t115 tptp.graph)))) % 206.54/206.84 (assume @p18 @t119) % 206.54/206.84 (assume @p19 true) % 206.54/206.84 ; WARNING: add trust step for TRUST % 206.54/206.84 ; trust TRUST PREPROCESS_SORT_INFER % 206.54/206.84 (step @p20 :rule trust :premises () :args ((= (forall @t72 @t136) (forall (@list @t120 @t128 @t127) (or (not (_ @t129 @t128 @t127 @t120)) (not (forall @t56 (or (not (_ @t126 @t51 @t120)) (not (_ @t126 @t50 @t120)) @t125 @t124))) (= (_ @t122 @t123 @t120) (_ @t122 @t121 @t120))))))) % 206.54/206.84 (step @p21 :rule aci_norm :args ((= (or (or @t135 @t134) @t107) @t136))) % 206.54/206.84 (step @p22 :rule refl :args (@t107)) % 206.54/206.84 (step @p23 :rule bool-and-de-morgan :args (@t29 @t133 true)) % 206.54/206.84 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or (not @t137) @t107))) % 206.54/206.84 (step @p25 :rule trans :premises (@p24 @p21)) % 206.54/206.84 (step @p26 :rule bool-impl-elim :args (@t137 @t107)) % 206.54/206.84 (step @p27 :rule trans :premises (@p26 @p25)) % 206.54/206.84 (step @p28 :rule cong :premises (@p27) :args ((forall @t72 (=> @t137 @t107)))) % 206.54/206.84 (step @p29 :rule refl :args (@t107)) % 206.54/206.84 (step @p30 :rule aci_norm :args ((= (or @t138 @t124) @t132))) % 206.54/206.84 (step @p31 :rule refl :args (@t124)) % 206.54/206.84 (step @p32 :rule aci_norm :args ((= (or @t131 (or @t130 @t125)) @t138))) % 206.54/206.84 (step @p33 :rule bool-and-de-morgan :args (@t66 @t55 true)) % 206.54/206.84 (step @p34 :rule refl :args (@t131)) % 206.54/206.84 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t131 (not (and @t66 @t55))))) % 206.54/206.84 (step @p36 :rule bool-and-de-morgan :args (@t67 @t66 (and @t55))) % 206.54/206.84 (step @p37 :rule trans :premises (@p36 @p35)) % 206.54/206.84 (step @p38 :rule trans :premises (@p37 @p32)) % 206.54/206.84 (step @p39 :rule nary_cong :premises (@p38 @p31) :args ((or (not @t109) @t124))) % 206.54/206.84 (step @p40 :rule trans :premises (@p39 @p30)) % 206.54/206.84 (step @p41 :rule bool-impl-elim :args (@t109 @t124)) % 206.54/206.84 (step @p42 :rule trans :premises (@p41 @p40)) % 206.54/206.84 (step @p43 :rule cong :premises (@p42) :args ((forall @t56 (=> @t109 @t124)))) % 206.54/206.84 (step @p44 :rule exists-elim :args ((= @t108 @t124))) % 206.54/206.84 (step @p45 :rule refl :args (@t109)) % 206.54/206.84 (step @p46 :rule cong :premises (@p45 @p44) :args (@t110)) % 206.54/206.84 (step @p47 :rule cong :premises (@p46) :args (@t111)) % 206.54/206.84 (step @p48 :rule trans :premises (@p47 @p43)) % 206.54/206.84 (step @p49 :rule refl :args (@t29)) % 206.54/206.84 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t112)) % 206.54/206.84 (step @p51 :rule cong :premises (@p50 @p29) :args (@t113)) % 206.54/206.84 (step @p52 :rule cong :premises (@p51) :args (@t114)) % 206.54/206.84 (step @p53 :rule trans :premises (@p52 @p28)) % 206.54/206.84 (step @p54 :rule trans :premises (@p53 @p20)) % 206.54/206.84 (step @p55 :rule eq_resolve :premises (@p16 @p54)) % 206.54/206.84 (step @p56 :rule instantiate :premises (@p55) :args ((@list @t146 @t145 @t144))) % 206.54/206.84 ; trust TRUST PREPROCESS_SORT_INFER % 206.54/206.84 (step @p57 :rule trust :premises () :args ((= (forall @t89 (= @t87 (and @t85 @t20 (forall @t83 (or @t135 @t82))))) (forall (@list @t153 @t152 @t150) (= (_ @t142 @t153 @t152 @t150) (and (_ @t129 @t153 @t152 @t150) (not (= @t153 @t152)) (forall @t154 (or (not (_ @t129 @t153 @t152 @t147)) (_ @t151 (_ @t148 @t150) @t149))))))))) % 206.54/206.84 (step @p58 :rule bool-impl-elim :args (@t29 @t82)) % 206.54/206.84 (step @p59 :rule cong :premises (@p58) :args (@t84)) % 206.54/206.84 (step @p60 :rule refl :args (@t20)) % 206.54/206.84 (step @p61 :rule refl :args (@t85)) % 206.54/206.84 (step @p62 :rule nary_cong :premises (@p61 @p60 @p59) :args (@t86)) % 206.54/206.84 (step @p63 :rule refl :args (@t87)) % 206.54/206.84 (step @p64 :rule cong :premises (@p63 @p62) :args (@t88)) % 206.54/206.84 (step @p65 :rule cong :premises (@p64) :args (@t90)) % 206.54/206.84 (step @p66 :rule trans :premises (@p65 @p57)) % 206.54/206.84 (step @p67 :rule eq_resolve :premises (@p11 @p66)) % 206.54/206.84 (step @p68 :rule instantiate :premises (@p67) :args ((@list @t145 @t144 @t146))) % 206.54/206.84 (step @p69 :rule bool-impl-true2 :args (@t143)) % 206.54/206.84 (step @p70 :rule cong :premises (@p69) :args ((not (=> true @t143)))) % 206.54/206.84 (step @p71 :rule refl :args (@t143)) % 206.54/206.84 (step @p72 :rule bool-eq-true :args (tptp.complete)) % 206.54/206.84 (step @p73 :rule symm :premises (@p72)) % 206.54/206.84 ; trust TRUST PREPROCESS_SORT_INFER % 206.54/206.84 (step @p74 :rule trust :premises () :args ((= (not (=> tptp.complete (forall @t72 (or @t157 @t107)))) @t156))) % 206.54/206.84 (step @p75 :rule bool-impl-elim :args (@t100 @t107)) % 206.54/206.84 (step @p76 :rule cong :premises (@p75) :args (@t117)) % 206.54/206.84 (step @p77 :rule refl :args (tptp.complete)) % 206.54/206.84 (step @p78 :rule cong :premises (@p77 @p76) :args (@t118)) % 206.54/206.84 (step @p79 :rule cong :premises (@p78) :args (@t119)) % 206.54/206.84 (step @p80 :rule trans :premises (@p79 @p74)) % 206.54/206.84 (step @p81 :rule eq_resolve :premises (@p18 @p80)) % 206.54/206.84 (step @p82 :rule not_implies_elim1 :premises (@p81)) % 206.54/206.84 (step @p83 :rule eq_resolve :premises (@p82 @p73)) % 206.54/206.84 (step @p84 :rule cong :premises (@p83 @p71) :args (@t155)) % 206.54/206.84 (step @p85 :rule cong :premises (@p84) :args (@t156)) % 206.54/206.84 (step @p86 :rule trans :premises (@p85 @p70)) % 206.54/206.84 (step @p87 :rule trans :premises (@p79 @p74 @p86)) % 206.54/206.84 (step @p88 :rule eq_resolve :premises (@p18 @p87)) % 206.54/206.84 (step @p89 :rule skolemize :premises (@p88)) % 206.54/206.84 (step @p90 :rule bool-double-not-elim :args (@t158)) % 206.54/206.84 (step @p91 :rule refl :args (@t161)) % 206.54/206.84 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t161 (not @t160)))) % 206.54/206.84 (step @p93 :rule cnf_or_neg :args (@t161 0)) % 206.54/206.84 (step @p94 :rule eq_resolve :premises (@p93 @p92)) % 206.54/206.84 (step @p95 :rule reordering :premises (@p94) :args ((or @t158 @t161))) % 206.54/206.84 (step @p96 :rule chain_m_resolution :premises (@p95 @p89) :args (@t158 @t162 @t163)) % 206.54/206.84 (step @p97 :rule cnf_equiv_pos1 :args (@t166)) % 206.54/206.84 (step @p98 :rule reordering :premises (@p97) :args ((or @t160 @t165 (not @t166)))) % 206.54/206.84 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p68) :args (@t165 @t167 (@list @t158 @t166))) % 206.54/206.84 (step @p100 :rule cnf_and_pos :args (@t165 0)) % 206.54/206.84 (step @p101 :rule reordering :premises (@p100) :args ((or @t164 (not @t165)))) % 206.54/206.84 (step @p102 :rule chain_m_resolution :premises (@p101 @p99) :args (@t164 @t168 (@list @t165))) % 206.54/206.84 (step @p103 :rule cnf_or_neg :args (@t161 1)) % 206.54/206.84 (step @p104 :rule chain_m_resolution :premises (@p103 @p89) :args ((not @t159) @t162 @t163)) % 206.54/206.84 (step @p105 :rule cnf_or_pos :args (@t172)) % 206.54/206.84 (step @p106 :rule reordering :premises (@p105) :args ((or @t159 @t171 @t170 (not @t172)))) % 206.54/206.84 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p102 @p56) :args (@t170 (@list true false false) (@list @t159 @t164 @t172))) % 206.54/206.84 (step @p108 :rule skolemize :premises (@p107)) % 206.54/206.84 (step @p109 :rule bool-double-not-elim :args (@t175)) % 206.54/206.84 (step @p110 :rule refl :args (@t183)) % 206.54/206.84 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or @t183 (not @t176)))) % 206.54/206.84 (step @p112 :rule cnf_or_neg :args (@t183 3)) % 206.54/206.84 (step @p113 :rule eq_resolve :premises (@p112 @p111)) % 206.54/206.84 (step @p114 :rule reordering :premises (@p113) :args ((or @t175 @t183))) % 206.54/206.84 (step @p115 :rule chain_m_resolution :premises (@p114 @p108) :args (@t175 @t162 @t184)) % 206.54/206.84 (step @p116 :rule instantiate :premises (@p13) :args ((@list @t174 @t173 @t195))) % 206.54/206.84 ; trust TRUST PREPROCESS_SORT_INFER % 206.54/206.84 (step @p117 :rule trust :premises () :args ((= @t57 @t196))) % 206.54/206.84 (step @p118 :rule eq_resolve :premises (@p8 @p117)) % 206.54/206.84 (step @p119 :rule instantiate :premises (@p118) :args ((@list @t173 @t195))) % 206.54/206.84 ; trust TRUST PREPROCESS_SORT_INFER % 206.54/206.84 (step @p120 :rule trust :premises () :args ((= (forall @t6 (or @t193 @t4)) @t197))) % 206.54/206.84 (step @p121 :rule bool-impl-elim :args (@t5 @t4)) % 206.54/206.84 (step @p122 :rule cong :premises (@p121) :args (@t7)) % 206.54/206.84 (step @p123 :rule trans :premises (@p122 @p120)) % 206.54/206.84 (step @p124 :rule eq_resolve :premises (@p1 @p123)) % 206.54/206.84 (step @p125 :rule eq-symm :args (@t186 @t198)) % 206.54/206.84 (step @p126 :rule cong :premises (@p125) :args (@t199)) % 206.54/206.84 (step @p127 :rule refl :args (@t201)) % 206.54/206.84 (step @p128 :rule nary_cong :premises (@p127 @p126) :args (@t202)) % 206.54/206.84 (step @p129 :rule refl :args (@t197)) % 206.54/206.84 (step @p130 :rule cong :premises (@p129 @p128) :args ((=> @t197 @t202))) % 206.54/206.84 (assume-push @p698 @t197) % 206.54/206.84 (step @p132 :rule instantiate :premises (@p124) :args (@t203)) % 206.54/206.84 (step-pop @p699 :rule scope :premises (@p132)) % 206.54/206.84 (step @p133 :rule process_scope :premises (@p699) :args (@t202)) % 206.54/206.84 (step @p135 :rule eq_resolve :premises (@p133 @p130)) % 206.54/206.84 (step @p136 :rule implies_elim :premises (@p135)) % 206.54/206.84 (step @p137 :rule chain_m_resolution :premises (@p136 @p124) :args (@t206 @t168 (@list @t197))) % 206.54/206.84 (step @p138 :rule instantiate :premises (@p118) :args ((@list @t174 @t173))) % 206.54/206.84 (step @p139 :rule bool-double-not-elim :args (@t177)) % 206.54/206.84 (step @p140 :rule nary_cong :premises (@p110 @p139) :args ((or @t183 (not @t178)))) % 206.54/206.84 (step @p141 :rule cnf_or_neg :args (@t183 2)) % 206.54/206.84 (step @p142 :rule eq_resolve :premises (@p141 @p140)) % 206.54/206.84 (step @p143 :rule reordering :premises (@p142) :args ((or @t177 @t183))) % 206.54/206.84 (step @p144 :rule chain_m_resolution :premises (@p143 @p108) :args (@t177 @t162 @t184)) % 206.54/206.84 (step @p145 :rule cnf_equiv_pos1 :args (@t212)) % 206.54/206.84 (step @p146 :rule reordering :premises (@p145) :args ((or @t178 @t211 (not @t212)))) % 206.54/206.84 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p138) :args (@t211 @t167 (@list @t177 @t212))) % 206.54/206.84 (step @p148 :rule cnf_and_pos :args (@t211 1)) % 206.54/206.84 (step @p149 :rule reordering :premises (@p148) :args ((or @t200 @t213))) % 206.54/206.84 (step @p150 :rule chain_m_resolution :premises (@p149 @p147) :args (@t200 @t168 @t214)) % 206.54/206.84 (step @p151 :rule cnf_or_pos :args (@t206)) % 206.54/206.84 (step @p152 :rule reordering :premises (@p151) :args ((or @t201 @t205 (not @t206)))) % 206.54/206.84 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p137) :args (@t205 @t167 (@list @t200 @t206))) % 206.54/206.84 (step @p154 :rule bool-impl-true2 :args (@t218)) % 206.54/206.84 (step @p155 :rule refl :args (@t218)) % 206.54/206.84 (step @p156 :rule cong :premises (@p83 @p155) :args (@t219)) % 206.54/206.84 (step @p157 :rule trans :premises (@p156 @p154)) % 206.54/206.84 ; trust TRUST PREPROCESS_SORT_INFER % 206.54/206.84 (step @p158 :rule trust :premises () :args ((= (=> tptp.complete (forall @t25 @t225)) @t219))) % 206.54/206.84 (step @p159 :rule aci_norm :args ((= (or (or @t224 @t223 @t19) @t222) @t225))) % 206.54/206.84 (step @p160 :rule refl :args (@t222)) % 206.54/206.84 (step @p161 :rule bool-double-not-elim :args (@t19)) % 206.54/206.84 (step @p162 :rule refl :args (@t223)) % 206.54/206.84 (step @p163 :rule refl :args (@t224)) % 206.54/206.84 (step @p164 :rule nary_cong :premises (@p163 @p162 @p161) :args (@t227)) % 206.54/206.84 (step @p165 :rule aci_norm :args ((= (or @t224 (or @t223 @t226)) @t227))) % 206.54/206.84 (step @p166 :rule trans :premises (@p165 @p164)) % 206.54/206.84 (step @p167 :rule bool-and-de-morgan :args (@t21 @t20 true)) % 206.54/206.84 (step @p168 :rule nary_cong :premises (@p163 @p167) :args ((or @t224 (not (and @t21 @t20))))) % 206.54/206.84 (step @p169 :rule bool-and-de-morgan :args (@t22 @t21 (and @t20))) % 206.54/206.84 (step @p170 :rule trans :premises (@p169 @p168)) % 206.54/206.84 (step @p171 :rule trans :premises (@p170 @p166)) % 206.54/206.84 (step @p172 :rule nary_cong :premises (@p171 @p160) :args ((or (not @t23) @t222))) % 206.54/206.84 (step @p173 :rule trans :premises (@p172 @p159)) % 206.54/206.84 (step @p174 :rule bool-impl-elim :args (@t23 @t222)) % 206.54/206.84 (step @p175 :rule trans :premises (@p174 @p173)) % 206.54/206.84 (step @p176 :rule cong :premises (@p175) :args ((forall @t25 (=> @t23 @t222)))) % 206.54/206.84 (step @p177 :rule bool-not-xor-elim :args (@t221 @t220)) % 206.54/206.84 (step @p178 :rule refl :args (@t193)) % 206.54/206.84 (step @p179 :rule nary_cong :premises (@p178 @p177) :args ((or @t193 (not @t228)))) % 206.54/206.84 (step @p180 :rule bool-and-de-morgan :args (@t5 @t228 true)) % 206.54/206.84 (step @p181 :rule trans :premises (@p180 @p179)) % 206.54/206.84 (step @p182 :rule cong :premises (@p181) :args (@t230)) % 206.54/206.84 (step @p183 :rule cong :premises (@p182) :args (@t231)) % 206.54/206.84 (step @p184 :rule exists-elim :args ((= (exists @t6 @t229) @t231))) % 206.54/206.84 (step @p185 :rule trans :premises (@p184 @p183)) % 206.54/206.84 (step @p186 :rule eq-symm :args (@t10 @t2)) % 206.54/206.84 (step @p187 :rule eq-symm :args (@t12 @t3)) % 206.54/206.84 (step @p188 :rule nary_cong :premises (@p187 @p186) :args (@t14)) % 206.54/206.84 (step @p189 :rule eq-symm :args (@t12 @t2)) % 206.54/206.84 (step @p190 :rule eq-symm :args (@t10 @t3)) % 206.54/206.84 (step @p191 :rule nary_cong :premises (@p190 @p189) :args (@t15)) % 206.54/206.84 (step @p192 :rule cong :premises (@p191 @p188) :args (@t16)) % 206.54/206.84 (step @p193 :rule refl :args (@t5)) % 206.54/206.84 (step @p194 :rule nary_cong :premises (@p193 @p192) :args (@t17)) % 206.54/206.84 (step @p195 :rule cong :premises (@p194) :args (@t18)) % 206.54/206.84 (step @p196 :rule trans :premises (@p195 @p185)) % 206.54/206.84 (step @p197 :rule refl :args (@t23)) % 206.54/206.84 (step @p198 :rule cong :premises (@p197 @p196) :args (@t24)) % 206.54/206.84 (step @p199 :rule cong :premises (@p198) :args (@t26)) % 206.54/206.84 (step @p200 :rule trans :premises (@p199 @p176)) % 206.54/206.84 (step @p201 :rule cong :premises (@p77 @p200) :args (@t27)) % 206.54/206.84 (step @p202 :rule trans :premises (@p201 @p158 @p157)) % 206.54/206.84 (step @p203 :rule eq_resolve :premises (@p3 @p202)) % 206.54/206.84 (step @p204 :rule instantiate :premises (@p203) :args ((@list @t186 @t189))) % 206.54/206.84 (step @p205 :rule refl :args (@t232)) % 206.54/206.84 (step @p206 :rule eq-symm :args (@t173 @t174)) % 206.54/206.84 (step @p207 :rule cong :premises (@p206) :args (@t233)) % 206.54/206.84 (step @p208 :rule refl :args (@t210)) % 206.54/206.84 (step @p209 :rule refl :args (@t200)) % 206.54/206.84 (step @p210 :rule nary_cong :premises (@p209 @p208 @p207 @p205) :args (@t234)) % 206.54/206.84 (step @p211 :rule refl :args (@t235)) % 206.54/206.84 (step @p212 :rule cong :premises (@p211 @p210) :args (@t236)) % 206.54/206.84 (step @p213 :rule refl :args (@t196)) % 206.54/206.84 (step @p214 :rule cong :premises (@p213 @p212) :args ((=> @t196 @t236))) % 206.54/206.84 (assume-push @p700 @t196) % 206.54/206.84 (step @p216 :rule instantiate :premises (@p118) :args ((@list @t173 @t174))) % 206.54/206.84 (step-pop @p701 :rule scope :premises (@p216)) % 206.54/206.84 (step @p217 :rule process_scope :premises (@p701) :args (@t236)) % 206.54/206.84 (step @p219 :rule eq_resolve :premises (@p217 @p214)) % 206.54/206.84 (step @p220 :rule implies_elim :premises (@p219)) % 206.54/206.84 (step @p221 :rule chain_m_resolution :premises (@p220 @p118) :args (@t238 @t168 @t239)) % 206.54/206.84 ; trust TRUST PREPROCESS_SORT_INFER % 206.54/206.84 (step @p222 :rule trust :premises () :args ((= (forall @t254 @t253) (forall (@list @t240 @t248 @t247 @t242 @t241 @t244) (or (not (_ @t129 @t248 @t247 @t240)) (not (_ @t126 @t242 @t240)) (not (_ @t126 @t241 @t240)) (and @t246 (or @t245 (not (_ @t243 @t244 @t241 @t240)))) (_ @t243 @t242 @t241 @t240)))))) % 206.54/206.84 (step @p223 :rule aci_norm :args ((= @t256 @t253))) % 206.54/206.84 (step @p224 :rule cong :premises (@p223) :args (@t257)) % 206.54/206.84 (step @p225 :rule quant-merge-prenex :args ((= (forall @t72 @t259) @t257))) % 206.54/206.84 (step @p226 :rule alpha_equiv :args (@t260 (@list @t242 @t241 @t244) (@list @t51 @t50 @t261))) % 206.54/206.84 (step @p227 :rule refl :args (@t135)) % 206.54/206.84 (step @p228 :rule nary_cong :premises (@p227 @p226) :args (@t262)) % 206.54/206.84 (step @p229 :rule quant-miniscope-or :args ((= @t259 @t262))) % 206.54/206.84 (step @p230 :rule trans :premises (@p229 @p228)) % 206.54/206.84 (step @p231 :rule symm :premises (@p230)) % 206.54/206.84 (step @p232 :rule cong :premises (@p231) :args ((forall @t72 (or @t135 @t266)))) % 206.54/206.84 (step @p233 :rule trans :premises (@p232 @p225)) % 206.54/206.84 (step @p234 :rule trans :premises (@p233 @p224)) % 206.54/206.84 (step @p235 :rule bool-impl-elim :args (@t29 @t266)) % 206.54/206.84 (step @p236 :rule cong :premises (@p235) :args ((forall @t72 (=> @t29 @t266)))) % 206.54/206.84 (step @p237 :rule trans :premises (@p236 @p234)) % 206.54/206.84 (step @p238 :rule quant-merge-prenex :args ((= (forall @t56 @t268) @t266))) % 206.54/206.84 (step @p239 :rule refl :args (@t58)) % 206.54/206.84 (step @p240 :rule alpha_equiv :args (@t269 (@list @t261) @t270)) % 206.54/206.84 (step @p241 :rule quant-unused-vars :args ((= @t271 @t125))) % 206.54/206.84 (step @p242 :rule nary_cong :premises (@p241 @p240) :args (@t272)) % 206.54/206.84 (step @p243 :rule quant-miniscope-and :args ((= @t273 @t272))) % 206.54/206.84 (step @p244 :rule trans :premises (@p243 @p242)) % 206.54/206.84 (step @p245 :rule refl :args (@t130)) % 206.54/206.84 (step @p246 :rule nary_cong :premises (@p34 @p245 @p244 @p239) :args (@t274)) % 206.54/206.84 (step @p247 :rule quant-miniscope-or :args ((= @t268 @t274))) % 206.54/206.84 (step @p248 :rule trans :premises (@p247 @p246)) % 206.54/206.84 (step @p249 :rule symm :premises (@p248)) % 206.54/206.84 (step @p250 :rule cong :premises (@p249) :args ((forall @t56 @t277))) % 206.54/206.84 (step @p251 :rule trans :premises (@p250 @p238)) % 206.54/206.84 (step @p252 :rule aci_norm :args ((= (or (or @t131 @t130 @t276) @t58) @t277))) % 206.54/206.84 (step @p253 :rule bool-double-not-elim :args (@t275)) % 206.54/206.84 (step @p254 :rule refl :args (@t125)) % 206.54/206.84 (step @p255 :rule nary_cong :premises (@p254 @p253) :args ((and @t125 (not @t278)))) % 206.54/206.84 (step @p256 :rule bool-or-de-morgan :args (@t55 @t278 false)) % 206.54/206.84 (step @p257 :rule trans :premises (@p256 @p255)) % 206.54/206.84 (step @p258 :rule nary_cong :premises (@p34 @p245 @p257) :args (@t281)) % 206.54/206.84 (step @p259 :rule aci_norm :args ((= (or @t131 (or @t130 @t280)) @t281))) % 206.54/206.84 (step @p260 :rule bool-and-de-morgan :args (@t66 @t279 true)) % 206.54/206.84 (step @p261 :rule nary_cong :premises (@p34 @p260) :args ((or @t131 (not (and @t66 @t279))))) % 206.54/206.84 (step @p262 :rule bool-and-de-morgan :args (@t67 @t66 (and @t279))) % 206.54/206.84 (step @p263 :rule trans :premises (@p262 @p261)) % 206.54/206.84 (step @p264 :rule trans :premises (@p263 @p259)) % 206.54/206.84 (step @p265 :rule trans :premises (@p264 @p258)) % 206.54/206.84 (step @p266 :rule nary_cong :premises (@p265 @p239) :args ((or (not @t282) @t58))) % 206.54/206.84 (step @p267 :rule trans :premises (@p266 @p252)) % 206.54/206.84 (step @p268 :rule bool-impl-elim :args (@t282 @t58)) % 206.54/206.84 (step @p269 :rule trans :premises (@p268 @p267)) % 206.54/206.84 (step @p270 :rule cong :premises (@p269) :args ((forall @t56 (=> @t282 @t58)))) % 206.54/206.84 (step @p271 :rule trans :premises (@p270 @p251)) % 206.54/206.84 (step @p272 :rule refl :args (@t58)) % 206.54/206.84 (step @p273 :rule bool-and-de-morgan :args (@t61 @t60 true)) % 206.54/206.84 (step @p274 :rule cong :premises (@p273) :args (@t283)) % 206.54/206.84 (step @p275 :rule cong :premises (@p274) :args (@t284)) % 206.54/206.84 (step @p276 :rule exists-elim :args ((= @t64 @t284))) % 206.54/206.84 (step @p277 :rule trans :premises (@p276 @p275)) % 206.54/206.84 (step @p278 :rule refl :args (@t55)) % 206.54/206.84 (step @p279 :rule nary_cong :premises (@p278 @p277) :args (@t65)) % 206.54/206.84 (step @p280 :rule refl :args (@t66)) % 206.54/206.84 (step @p281 :rule refl :args (@t67)) % 206.54/206.84 (step @p282 :rule nary_cong :premises (@p281 @p280 @p279) :args (@t68)) % 206.54/206.84 (step @p283 :rule cong :premises (@p282 @p272) :args (@t69)) % 206.54/206.84 (step @p284 :rule cong :premises (@p283) :args (@t70)) % 206.54/206.84 (step @p285 :rule trans :premises (@p284 @p271)) % 206.54/206.84 (step @p286 :rule cong :premises (@p49 @p285) :args (@t71)) % 206.54/206.84 (step @p287 :rule cong :premises (@p286) :args (@t73)) % 206.54/206.84 (step @p288 :rule trans :premises (@p287 @p237)) % 206.54/206.84 (step @p289 :rule trans :premises (@p288 @p222)) % 206.54/206.84 (step @p290 :rule eq_resolve :premises (@p9 @p289)) % 206.54/206.84 (step @p291 :rule instantiate :premises (@p290) :args ((@list @t146 @t145 @t144 @t173 @t173 @t174))) % 206.54/206.84 ; trust TRUST PREPROCESS_SORT_INFER % 206.54/206.84 (step @p292 :rule trust :premises () :args ((= (forall @t295 @t294) (forall (@list @t285 @t291 @t290 @t287 @t286) (or (not (_ @t129 @t291 @t290 @t285)) (not (_ @t243 @t287 @t286 @t285)) (and (_ @t126 @t287 @t285) (_ @t126 @t286 @t285) (= @t289 (not (forall @t63 (or @t288 (not (_ @t243 @t59 @t286 @t285)))))))))))) % 206.54/206.84 (step @p293 :rule aci_norm :args ((= @t297 @t294))) % 206.54/206.84 (step @p294 :rule cong :premises (@p293) :args (@t298)) % 206.54/206.84 (step @p295 :rule quant-merge-prenex :args ((= (forall @t72 @t300) @t298))) % 206.54/206.84 (step @p296 :rule alpha_equiv :args (@t301 (@list @t287 @t286) (@list @t51 @t50))) % 206.54/206.84 (step @p297 :rule nary_cong :premises (@p227 @p296) :args (@t302)) % 206.54/206.84 (step @p298 :rule quant-miniscope-or :args ((= @t300 @t302))) % 206.54/206.84 (step @p299 :rule trans :premises (@p298 @p297)) % 206.54/206.84 (step @p300 :rule symm :premises (@p299)) % 206.54/206.84 (step @p301 :rule cong :premises (@p300) :args ((forall @t72 (or @t135 @t304)))) % 206.54/206.84 (step @p302 :rule trans :premises (@p301 @p295)) % 206.54/206.84 (step @p303 :rule trans :premises (@p302 @p294)) % 206.54/206.84 (step @p304 :rule bool-impl-elim :args (@t29 @t304)) % 206.54/206.84 (step @p305 :rule cong :premises (@p304) :args ((forall @t72 (=> @t29 @t304)))) % 206.54/206.84 (step @p306 :rule trans :premises (@p305 @p303)) % 206.54/206.84 (step @p307 :rule eq-symm :args (@t125 @t278)) % 206.54/206.84 (step @p308 :rule nary_cong :premises (@p281 @p280 @p307) :args (@t305)) % 206.54/206.84 (step @p309 :rule refl :args (@t303)) % 206.54/206.84 (step @p310 :rule nary_cong :premises (@p309 @p308) :args (@t306)) % 206.54/206.84 (step @p311 :rule cong :premises (@p310) :args ((forall @t56 @t306))) % 206.54/206.84 (step @p312 :rule bool-xor-elim :args (@t55 @t278)) % 206.54/206.84 (step @p313 :rule refl :args (@t66)) % 206.54/206.84 (step @p314 :rule refl :args (@t67)) % 206.54/206.84 (step @p315 :rule nary_cong :premises (@p314 @p313 @p312) :args (@t307)) % 206.54/206.84 (step @p316 :rule refl :args (@t303)) % 206.54/206.84 (step @p317 :rule nary_cong :premises (@p316 @p315) :args ((or @t303 @t307))) % 206.54/206.84 (step @p318 :rule bool-impl-elim :args (@t58 @t307)) % 206.54/206.84 (step @p319 :rule trans :premises (@p318 @p317)) % 206.54/206.84 (step @p320 :rule cong :premises (@p319) :args ((forall @t56 (=> @t58 @t307)))) % 206.54/206.84 (step @p321 :rule trans :premises (@p320 @p311)) % 206.54/206.84 (step @p322 :rule cong :premises (@p278 @p277) :args (@t74)) % 206.54/206.84 (step @p323 :rule nary_cong :premises (@p281 @p280 @p322) :args (@t75)) % 206.54/206.84 (step @p324 :rule cong :premises (@p272 @p323) :args (@t76)) % 206.54/206.84 (step @p325 :rule cong :premises (@p324) :args (@t77)) % 206.54/206.84 (step @p326 :rule trans :premises (@p325 @p321)) % 206.54/206.84 (step @p327 :rule cong :premises (@p49 @p326) :args (@t78)) % 206.54/206.84 (step @p328 :rule cong :premises (@p327) :args (@t79)) % 206.54/206.84 (step @p329 :rule trans :premises (@p328 @p306)) % 206.54/206.84 (step @p330 :rule trans :premises (@p329 @p292)) % 206.54/206.84 (step @p331 :rule eq_resolve :premises (@p10 @p330)) % 206.54/206.84 (step @p332 :rule instantiate :premises (@p331) :args ((@list @t146 @t145 @t144 @t174 @t173))) % 206.54/206.84 (step @p333 :rule instantiate :premises (@p290) :args ((@list @t146 @t145 @t144 @t174 @t173 @t173))) % 206.54/206.84 (step @p334 :rule cnf_and_pos :args (@t311 0)) % 206.54/206.84 (step @p335 :rule reordering :premises (@p334) :args ((or @t178 @t312))) % 206.54/206.84 (step @p336 :rule chain_m_resolution :premises (@p335 @p144) :args (@t312 @t168 (@list @t177))) % 206.54/206.84 (step @p337 :rule bool-double-not-elim :args (@t179)) % 206.54/206.84 (step @p338 :rule nary_cong :premises (@p110 @p337) :args ((or @t183 (not @t180)))) % 206.54/206.84 (step @p339 :rule cnf_or_neg :args (@t183 1)) % 206.54/206.84 (step @p340 :rule eq_resolve :premises (@p339 @p338)) % 206.54/206.84 (step @p341 :rule reordering :premises (@p340) :args ((or @t179 @t183))) % 206.54/206.84 (step @p342 :rule chain_m_resolution :premises (@p341 @p108) :args (@t179 @t162 @t184)) % 206.54/206.84 (step @p343 :rule bool-double-not-elim :args (@t181)) % 206.54/206.84 (step @p344 :rule nary_cong :premises (@p110 @p343) :args ((or @t183 (not @t182)))) % 206.54/206.84 (step @p345 :rule cnf_or_neg :args (@t183 0)) % 206.54/206.84 (step @p346 :rule eq_resolve :premises (@p345 @p344)) % 206.54/206.84 (step @p347 :rule reordering :premises (@p346) :args ((or @t181 @t183))) % 206.54/206.84 (step @p348 :rule chain_m_resolution :premises (@p347 @p108) :args (@t181 @t162 @t184)) % 206.54/206.84 (step @p349 :rule cnf_or_pos :args (@t314)) % 206.54/206.84 (step @p350 :rule reordering :premises (@p349) :args ((or @t171 @t182 @t180 @t311 @t313 (not @t314)))) % 206.54/206.84 (step @p351 :rule chain_m_resolution :premises (@p350 @p102 @p348 @p342 @p336 @p333) :args (@t313 (@list false false false true false) (@list @t164 @t181 @t179 @t311 @t314))) % 206.54/206.84 (step @p352 :rule cnf_or_pos :args (@t320)) % 206.54/206.84 (step @p353 :rule reordering :premises (@p352) :args ((or @t171 @t319 @t318 (not @t320)))) % 206.54/206.84 (step @p354 :rule chain_m_resolution :premises (@p353 @p102 @p351 @p332) :args (@t318 @t321 (@list @t164 @t313 @t320))) % 206.54/206.84 (step @p355 :rule cnf_and_pos :args (@t318 2)) % 206.54/206.84 (step @p356 :rule reordering :premises (@p355) :args ((or @t317 (not @t318)))) % 206.54/206.84 (step @p357 :rule chain_m_resolution :premises (@p356 @p354) :args (@t317 @t168 (@list @t318))) % 206.54/206.84 (step @p358 :rule bool-double-not-elim :args (@t315)) % 206.54/206.84 (step @p359 :rule refl :args (@t178)) % 206.54/206.84 (step @p360 :rule refl :args (@t322)) % 206.54/206.84 (step @p361 :rule nary_cong :premises (@p360 @p359 @p358) :args ((or @t322 @t178 (not @t316)))) % 206.54/206.84 (step @p362 :rule cnf_equiv_pos2 :args (@t317)) % 206.54/206.84 (step @p363 :rule eq_resolve :premises (@p362 @p361)) % 206.54/206.84 (step @p364 :rule reordering :premises (@p363) :args ((or @t178 @t315 @t322))) % 206.54/206.84 (step @p365 :rule chain_m_resolution :premises (@p364 @p144 @p357) :args (@t315 @t167 (@list @t177 @t317))) % 206.54/206.84 (step @p366 :rule instantiate :premises (@p365) :args (@t203)) % 206.54/206.84 (step @p367 :rule cnf_or_pos :args (@t310)) % 206.54/206.84 (step @p368 :rule reordering :premises (@p367) :args ((or @t178 @t309 (not @t310)))) % 206.54/206.84 (step @p369 :rule chain_m_resolution :premises (@p368 @p144 @p366) :args (@t309 @t167 (@list @t177 @t310))) % 206.54/206.84 (step @p370 :rule cnf_or_pos :args (@t326)) % 206.54/206.84 (step @p371 :rule factoring :premises (@p370)) % 206.54/206.84 (step @p372 :rule reordering :premises (@p371) :args ((or @t171 @t180 @t308 @t325 (not @t326)))) % 206.54/206.84 (step @p373 :rule chain_m_resolution :premises (@p372 @p102 @p342 @p369 @p291) :args (@t325 @t327 (@list @t164 @t179 @t308 @t326))) % 206.54/206.84 (step @p374 :rule cnf_and_pos :args (@t325 1)) % 206.54/206.84 (step @p375 :rule reordering :premises (@p374) :args ((or @t324 (not @t325)))) % 206.54/206.84 (step @p376 :rule chain_m_resolution :premises (@p375 @p373) :args (@t324 @t168 (@list @t325))) % 206.54/206.84 (step @p377 :rule cnf_or_pos :args (@t324)) % 206.54/206.84 (step @p378 :rule reordering :premises (@p377) :args ((or @t319 @t323 (not @t324)))) % 206.54/206.84 (step @p379 :rule chain_m_resolution :premises (@p378 @p351 @p376) :args (@t323 @t167 (@list @t313 @t324))) % 206.54/206.84 (step @p380 :rule cnf_equiv_pos2 :args (@t238)) % 206.54/206.84 (step @p381 :rule reordering :premises (@p380) :args ((or @t235 @t328 (not @t238)))) % 206.54/206.84 (step @p382 :rule chain_m_resolution :premises (@p381 @p379 @p221) :args (@t328 (@list true false) (@list @t235 @t238))) % 206.54/206.84 (step @p383 :rule cnf_and_pos :args (@t211 0)) % 206.54/206.84 (step @p384 :rule reordering :premises (@p383) :args ((or @t210 @t213))) % 206.54/206.84 (step @p385 :rule chain_m_resolution :premises (@p384 @p147) :args (@t210 @t168 @t214)) % 206.54/206.84 (step @p386 :rule cnf_and_pos :args (@t211 2)) % 206.54/206.84 (step @p387 :rule reordering :premises (@p386) :args ((or @t209 @t213))) % 206.54/206.84 (step @p388 :rule chain_m_resolution :premises (@p387 @p147) :args (@t209 @t168 @t214)) % 206.54/206.84 (step @p389 :rule refl :args (@t329)) % 206.54/206.84 (step @p390 :rule bool-double-not-elim :args (@t208)) % 206.54/206.84 (step @p391 :rule refl :args (@t330)) % 206.54/206.84 (step @p392 :rule refl :args (@t237)) % 206.54/206.84 (step @p393 :rule nary_cong :premises (@p392 @p127 @p391 @p390 @p389) :args ((or @t237 @t201 @t330 (not @t209) @t329))) % 206.54/206.84 (step @p394 :rule cnf_and_neg :args (@t237)) % 206.54/206.84 (step @p395 :rule eq_resolve :premises (@p394 @p393)) % 206.54/206.84 (step @p396 :rule reordering :premises (@p395) :args ((or @t208 @t330 @t201 @t237 @t329))) % 206.54/206.84 (step @p397 :rule chain_m_resolution :premises (@p396 @p388 @p385 @p150 @p382) :args (@t329 (@list true false false true) (@list @t208 @t210 @t200 @t237))) % 206.54/206.84 ; trust TRUST PREPROCESS_SORT_INFER % 206.54/206.84 (step @p398 :rule trust :premises () :args ((= (forall @t48 @t341) (forall (@list @t335 @t334 @t332 @t331) (or (not (_ @t129 @t335 @t334 @t332)) (not (_ @t333 @t331 @t332)) (and (_ @t217 @t331) (not (forall @t6 (or (not (_ @t126 @t1 @t332)) (and (not (= @t190 @t331)) (not (= @t188 @t331)))))))))))) % 206.54/206.84 (step @p399 :rule aci_norm :args ((= (or (or @t135 @t340) @t339) @t341))) % 206.54/206.84 (step @p400 :rule refl :args (@t339)) % 206.54/206.84 (step @p401 :rule bool-and-de-morgan :args (@t29 @t45 true)) % 206.54/206.84 (step @p402 :rule nary_cong :premises (@p401 @p400) :args ((or (not @t46) @t339))) % 206.54/206.84 (step @p403 :rule trans :premises (@p402 @p399)) % 206.54/206.84 (step @p404 :rule bool-impl-elim :args (@t46 @t339)) % 206.54/206.84 (step @p405 :rule trans :premises (@p404 @p403)) % 206.54/206.84 (step @p406 :rule cong :premises (@p405) :args ((forall @t48 (=> @t46 @t339)))) % 206.54/206.84 (step @p407 :rule bool-or-de-morgan :args (@t337 @t336 false)) % 206.54/206.84 (step @p408 :rule refl :args (@t338)) % 206.54/206.84 (step @p409 :rule nary_cong :premises (@p408 @p407) :args ((or @t338 (not @t342)))) % 206.54/206.84 (step @p410 :rule bool-and-de-morgan :args (@t35 @t342 true)) % 206.54/206.84 (step @p411 :rule trans :premises (@p410 @p409)) % 206.54/206.84 (step @p412 :rule cong :premises (@p411) :args (@t344)) % 206.54/206.84 (step @p413 :rule cong :premises (@p412) :args (@t345)) % 206.54/206.84 (step @p414 :rule exists-elim :args ((= (exists @t6 @t343) @t345))) % 206.54/206.84 (step @p415 :rule trans :premises (@p414 @p413)) % 206.54/206.84 (step @p416 :rule eq-symm :args (@t39 @t2)) % 206.54/206.84 (step @p417 :rule eq-symm :args (@t39 @t3)) % 206.54/206.84 (step @p418 :rule nary_cong :premises (@p417 @p416) :args (@t40)) % 206.54/206.84 (step @p419 :rule refl :args (@t35)) % 206.54/206.84 (step @p420 :rule nary_cong :premises (@p419 @p418) :args (@t41)) % 206.54/206.84 (step @p421 :rule cong :premises (@p420) :args (@t42)) % 206.54/206.84 (step @p422 :rule trans :premises (@p421 @p415)) % 206.54/206.84 (step @p423 :rule refl :args (@t43)) % 206.54/206.84 (step @p424 :rule nary_cong :premises (@p423 @p422) :args (@t44)) % 206.54/206.84 (step @p425 :rule refl :args (@t46)) % 206.54/206.84 (step @p426 :rule cong :premises (@p425 @p424) :args (@t47)) % 206.54/206.84 (step @p427 :rule cong :premises (@p426) :args (@t49)) % 206.54/206.84 (step @p428 :rule trans :premises (@p427 @p406)) % 206.54/206.84 (step @p429 :rule trans :premises (@p428 @p398)) % 206.54/206.84 (step @p430 :rule eq_resolve :premises (@p7 @p429)) % 206.54/206.84 (step @p431 :rule instantiate :premises (@p430) :args ((@list @t145 @t144 @t146 @t189))) % 206.54/206.84 ; trust TRUST PREPROCESS_SORT_INFER % 206.54/206.84 (step @p432 :rule trust :premises () :args ((= (forall @t37 @t349) (forall (@list @t348 @t347 @t346 @t1) (or (not (_ @t129 @t348 @t347 @t346)) (not (_ @t126 @t1 @t346)) (and @t5 (_ @t333 @t190 @t346) (_ @t333 @t188 @t346))))))) % 206.54/206.84 (step @p433 :rule aci_norm :args ((= (or (or @t135 @t338) @t34) @t349))) % 206.54/206.84 (step @p434 :rule refl :args (@t34)) % 206.54/206.84 (step @p435 :rule bool-and-de-morgan :args (@t29 @t35 true)) % 206.54/206.84 (step @p436 :rule nary_cong :premises (@p435 @p434) :args ((or (not @t36) @t34))) % 206.54/206.84 (step @p437 :rule trans :premises (@p436 @p433)) % 206.54/206.84 (step @p438 :rule bool-impl-elim :args (@t36 @t34)) % 206.54/206.84 (step @p439 :rule trans :premises (@p438 @p437)) % 206.54/206.84 (step @p440 :rule cong :premises (@p439) :args (@t38)) % 206.54/206.84 (step @p441 :rule trans :premises (@p440 @p432)) % 206.54/206.84 (step @p442 :rule eq_resolve :premises (@p6 @p441)) % 206.54/206.84 (step @p443 :rule instantiate :premises (@p442) :args ((@list @t145 @t144 @t146 @t174))) % 206.54/206.84 (step @p444 :rule cnf_or_pos :args (@t352)) % 206.54/206.84 (step @p445 :rule reordering :premises (@p444) :args ((or @t171 @t182 @t351 (not @t352)))) % 206.54/206.84 (step @p446 :rule chain_m_resolution :premises (@p445 @p102 @p348 @p443) :args (@t351 @t321 (@list @t164 @t181 @t352))) % 206.54/206.84 (step @p447 :rule cnf_and_pos :args (@t351 2)) % 206.54/206.84 (step @p448 :rule reordering :premises (@p447) :args ((or @t350 (not @t351)))) % 206.54/206.84 (step @p449 :rule chain_m_resolution :premises (@p448 @p446) :args (@t350 @t168 (@list @t351))) % 206.54/206.84 (step @p450 :rule cnf_or_pos :args (@t356)) % 206.54/206.84 (step @p451 :rule reordering :premises (@p450) :args ((or @t171 @t355 @t354 (not @t356)))) % 206.54/206.84 (step @p452 :rule chain_m_resolution :premises (@p451 @p102 @p449 @p431) :args (@t354 @t321 (@list @t164 @t350 @t356))) % 206.54/206.84 (step @p453 :rule cnf_and_pos :args (@t354 0)) % 206.54/206.84 (step @p454 :rule reordering :premises (@p453) :args ((or @t353 (not @t354)))) % 206.54/206.84 (step @p455 :rule chain_m_resolution :premises (@p454 @p452) :args (@t353 @t168 (@list @t354))) % 206.54/206.84 ; trust TRUST PREPROCESS_SORT_INFER % 206.54/206.84 (step @p456 :rule trust :premises () :args ((= (forall @t6 (or @t193 @t8)) (forall @t6 (or @t193 (and (_ @t217 @t190) (_ @t217 @t188))))))) % 206.54/206.84 (step @p457 :rule bool-impl-elim :args (@t5 @t8)) % 206.54/206.84 (step @p458 :rule cong :premises (@p457) :args (@t9)) % 206.54/206.84 (step @p459 :rule trans :premises (@p458 @p456)) % 206.54/206.84 (step @p460 :rule eq_resolve :premises (@p2 @p459)) % 206.54/206.84 (step @p461 :rule instantiate :premises (@p460) :args (@t203)) % 206.54/206.84 (step @p462 :rule cnf_or_pos :args (@t359)) % 206.54/206.84 (step @p463 :rule reordering :premises (@p462) :args ((or @t201 @t358 (not @t359)))) % 206.54/206.84 (step @p464 :rule chain_m_resolution :premises (@p463 @p150 @p461) :args (@t358 @t167 (@list @t200 @t359))) % 206.54/206.84 (step @p465 :rule cnf_and_pos :args (@t358 0)) % 206.54/206.84 (step @p466 :rule reordering :premises (@p465) :args ((or @t357 (not @t358)))) % 206.54/206.84 (step @p467 :rule chain_m_resolution :premises (@p466 @p464) :args (@t357 @t168 (@list @t358))) % 206.54/206.84 (step @p468 :rule cnf_or_pos :args (@t363)) % 206.54/206.84 (step @p469 :rule reordering :premises (@p468) :args ((or @t362 @t361 @t232 @t360 (not @t363)))) % 206.54/206.84 (step @p470 :rule chain_m_resolution :premises (@p469 @p467 @p455 @p397 @p204) :args (@t360 @t327 (@list @t357 @t353 @t232 @t363))) % 206.54/206.84 (step @p471 :rule refl :args (@t376)) % 206.54/206.84 (step @p472 :rule bool-double-not-elim :args (@t194)) % 206.54/206.84 (step @p473 :rule nary_cong :premises (@p472 @p471) :args ((or (not @t360) @t376))) % 206.54/206.84 (step @p474 :rule eq-symm :args (@t364 @t186)) % 206.54/206.84 (step @p475 :rule eq-symm :args (@t366 @t189)) % 206.54/206.84 (step @p476 :rule nary_cong :premises (@p475 @p474) :args (@t378)) % 206.54/206.84 (step @p477 :rule eq-symm :args (@t364 @t189)) % 206.54/206.84 (step @p478 :rule eq-symm :args (@t366 @t186)) % 206.54/206.84 (step @p479 :rule nary_cong :premises (@p478 @p477) :args (@t379)) % 206.54/206.84 (step @p480 :rule cong :premises (@p479 @p476) :args (@t380)) % 206.54/206.84 (step @p481 :rule refl :args (@t374)) % 206.54/206.84 (step @p482 :rule nary_cong :premises (@p481 @p480) :args (@t381)) % 206.54/206.84 (step @p483 :rule cong :premises (@p482) :args (@t382)) % 206.54/206.84 (step @p484 :rule refl :args (@t360)) % 206.54/206.84 (step @p485 :rule cong :premises (@p484 @p483) :args ((=> @t360 @t382))) % 206.54/206.84 (assume-push @p702 @t360) % 206.54/206.84 (step @p487 :rule skolemize :premises (@p470)) % 206.54/206.84 (step-pop @p703 :rule scope :premises (@p487)) % 206.54/206.84 (step @p488 :rule process_scope :premises (@p703) :args (@t382)) % 206.54/206.84 (step @p490 :rule eq_resolve :premises (@p488 @p485)) % 206.54/206.84 (step @p491 :rule implies_elim :premises (@p490)) % 206.54/206.84 (step @p492 :rule eq_resolve :premises (@p491 @p473)) % 206.54/206.84 (step @p493 :rule chain_m_resolution :premises (@p492 @p470) :args (@t376 @t162 (@list @t194))) % 206.54/206.84 (step @p494 :rule cnf_or_neg :args (@t375 1)) % 206.54/206.84 (step @p495 :rule chain_m_resolution :premises (@p494 @p493) :args ((not @t372) @t162 @t383)) % 206.54/206.84 ; trust TRUST PREPROCESS_SORT_INFER % 206.54/206.84 (step @p496 :rule trust :premises () :args ((= (forall @t390 (or @t157 @t303 (and (or (not (= @t94 @t389)) (not (= @t92 @t388))) @t91))) (forall (@list @t387 @t386 @t51 @t50 @t384 @t385) (or (not (_ @t142 @t387 @t386 @t384)) (not (_ @t243 @t51 @t50 @t384)) (and (or (not (= (_ @t187 @t51) (_ @t187 @t385))) (not (= (_ @t185 @t50) (_ @t185 @t385)))) (not (_ @t243 @t50 @t51 @t384)))))))) % 206.54/206.84 (step @p497 :rule refl :args (@t91)) % 206.54/206.84 (step @p498 :rule eq-symm :args (@t388 @t92)) % 206.54/206.84 (step @p499 :rule cong :premises (@p498) :args (@t391)) % 206.54/206.84 (step @p500 :rule eq-symm :args (@t389 @t94)) % 206.54/206.84 (step @p501 :rule cong :premises (@p500) :args (@t392)) % 206.54/206.84 (step @p502 :rule nary_cong :premises (@p501 @p499) :args (@t393)) % 206.54/206.84 (step @p503 :rule nary_cong :premises (@p502 @p497) :args (@t394)) % 206.54/206.84 (step @p504 :rule refl :args (@t157)) % 206.54/206.84 (step @p505 :rule nary_cong :premises (@p504 @p309 @p503) :args (@t395)) % 206.54/206.84 (step @p506 :rule cong :premises (@p505) :args (@t396)) % 206.54/206.84 (step @p507 :rule quant-merge-prenex :args ((= (forall @t103 @t398) @t396))) % 206.54/206.84 (step @p508 :rule quant-unused-vars :args ((= @t399 @t91))) % 206.54/206.84 (step @p509 :rule alpha_equiv :args (@t400 (@list @t385) @t270)) % 206.54/206.84 (step @p510 :rule nary_cong :premises (@p509 @p508) :args (@t401)) % 206.54/206.84 (step @p511 :rule quant-miniscope-and :args ((= @t402 @t401))) % 206.54/206.84 (step @p512 :rule trans :premises (@p511 @p510)) % 206.54/206.84 (step @p513 :rule refl :args (@t157)) % 206.54/206.84 (step @p514 :rule nary_cong :premises (@p513 @p316 @p512) :args (@t403)) % 206.54/206.84 (step @p515 :rule quant-miniscope-or :args ((= @t398 @t403))) % 206.54/206.84 (step @p516 :rule trans :premises (@p515 @p514)) % 206.54/206.84 (step @p517 :rule symm :premises (@p516)) % 206.54/206.84 (step @p518 :rule cong :premises (@p517) :args ((forall @t103 @t406))) % 206.54/206.84 (step @p519 :rule trans :premises (@p518 @p507)) % 206.54/206.84 (step @p520 :rule trans :premises (@p519 @p506)) % 206.54/206.84 (step @p521 :rule aci_norm :args ((= (or (or @t157 @t303) @t405) @t406))) % 206.54/206.84 (step @p522 :rule refl :args (@t405)) % 206.54/206.84 (step @p523 :rule bool-and-de-morgan :args (@t100 @t58 true)) % 206.54/206.84 (step @p524 :rule nary_cong :premises (@p523 @p522) :args ((or (not @t101) @t405))) % 206.54/206.84 (step @p525 :rule trans :premises (@p524 @p521)) % 206.54/206.84 (step @p526 :rule bool-impl-elim :args (@t101 @t405)) % 206.54/206.84 (step @p527 :rule trans :premises (@p526 @p525)) % 206.54/206.84 (step @p528 :rule cong :premises (@p527) :args ((forall @t103 (=> @t101 @t405)))) % 206.54/206.84 (step @p529 :rule trans :premises (@p528 @p520)) % 206.54/206.84 (step @p530 :rule bool-double-not-elim :args (@t404)) % 206.54/206.84 (step @p531 :rule bool-and-de-morgan :args (@t95 @t93 true)) % 206.54/206.84 (step @p532 :rule cong :premises (@p531) :args (@t407)) % 206.54/206.84 (step @p533 :rule cong :premises (@p532) :args (@t408)) % 206.54/206.84 (step @p534 :rule exists-elim :args ((= @t97 @t408))) % 206.54/206.84 (step @p535 :rule trans :premises (@p534 @p533)) % 206.54/206.84 (step @p536 :rule cong :premises (@p535) :args (@t98)) % 206.54/206.84 (step @p537 :rule trans :premises (@p536 @p530)) % 206.54/206.84 (step @p538 :rule nary_cong :premises (@p537 @p497) :args (@t99)) % 206.54/206.84 (step @p539 :rule refl :args (@t101)) % 206.54/206.84 (step @p540 :rule cong :premises (@p539 @p538) :args (@t102)) % 206.54/206.84 (step @p541 :rule cong :premises (@p540) :args (@t104)) % 206.54/206.84 (step @p542 :rule trans :premises (@p541 @p529)) % 206.54/206.84 (step @p543 :rule trans :premises (@p542 @p496)) % 206.54/206.84 (step @p544 :rule eq_resolve :premises (@p12 @p543)) % 206.54/206.84 (step @p545 :rule instantiate :premises (@p544) :args ((@list @t145 @t144 @t174 @t173 @t146 @t195))) % 206.54/206.84 (step @p546 :rule cnf_or_pos :args (@t413)) % 206.54/206.84 (step @p547 :rule reordering :premises (@p546) :args ((or @t160 @t319 @t412 (not @t413)))) % 206.54/206.84 (step @p548 :rule chain_m_resolution :premises (@p547 @p96 @p351 @p545) :args (@t412 @t321 (@list @t158 @t313 @t413))) % 206.54/206.84 (step @p549 :rule cnf_and_pos :args (@t412 0)) % 206.54/206.84 (step @p550 :rule reordering :premises (@p549) :args ((or @t411 (not @t412)))) % 206.54/206.84 (step @p551 :rule chain_m_resolution :premises (@p550 @p548) :args (@t411 @t168 (@list @t412))) % 206.54/206.84 (step @p552 :rule cnf_or_pos :args (@t411)) % 206.54/206.84 (step @p553 :rule reordering :premises (@p552) :args ((or @t409 @t410 (not @t411)))) % 206.54/206.84 (step @p554 :rule cnf_and_pos :args (@t371 1)) % 206.54/206.84 (step @p555 :rule reordering :premises (@p554) :args ((or @t369 @t414))) % 206.54/206.84 (step @p556 :rule cnf_equiv_neg1 :args (@t372)) % 206.54/206.84 (step @p557 :rule reordering :premises (@p556) :args ((or @t371 @t368 @t372))) % 206.54/206.84 (step @p558 :rule cnf_and_pos :args (@t368 0)) % 206.54/206.84 (step @p559 :rule reordering :premises (@p558) :args ((or @t367 @t415))) % 206.54/206.84 (step @p560 :rule refl :args (@t416)) % 206.54/206.84 (step @p561 :rule refl :args (@t409)) % 206.54/206.84 (step @p562 :rule bool-double-not-elim :args (@t232)) % 206.54/206.84 (step @p563 :rule nary_cong :premises (@p562 @p561 @p560) :args ((or (not @t329) @t409 @t416))) % 206.54/206.84 (assume-push @p704 @t367) % 206.54/206.84 (assume-push @p705 @t370) % 206.54/206.84 (assume-push @p706 @t329) % 206.54/206.84 (step @p567 :rule evaluate :args ((= false true))) % 206.54/206.84 (step @p568 :rule symm :premises (@p704)) % 206.54/206.84 (step @p569 :rule trans :premises (@p705 @p568)) % 206.54/206.84 (step @p570 :rule true_intro :premises (@p569)) % 206.54/206.84 (step @p571 :rule false_intro :premises (@p397)) % 206.54/206.84 (step @p572 :rule symm :premises (@p571)) % 206.54/206.84 (step @p573 :rule trans :premises (@p572 @p570)) % 206.54/206.84 (step @p574 false :rule eq_resolve :premises (@p573 @p567)) % 206.54/206.84 (step-pop @p707 :rule scope :premises (@p574)) % 206.54/206.84 (step-pop @p708 :rule scope :premises (@p707)) % 206.54/206.84 (step-pop @p709 :rule scope :premises (@p708)) % 206.54/206.84 (step @p575 :rule process_scope :premises (@p709) :args (false)) % 206.54/206.84 (assume-push @p710 @t329) % 206.54/206.84 (assume-push @p711 @t370) % 206.54/206.84 (assume-push @p712 @t367) % 206.54/206.84 (step @p582 :rule and_intro :premises (@p712 @p711 @p397)) % 206.54/206.84 (step-pop @p713 :rule scope :premises (@p582)) % 206.54/206.84 (step-pop @p714 :rule scope :premises (@p713)) % 206.54/206.84 (step-pop @p715 :rule scope :premises (@p714)) % 206.54/206.84 (step @p583 :rule process_scope :premises (@p715) :args (@t417)) % 206.54/206.84 (step @p587 :rule implies_elim :premises (@p583)) % 206.54/206.84 (step @p588 :rule resolution :premises (@p587 @p575) :args (true @t417)) % 206.54/206.84 (step @p589 :rule not_and :premises (@p588)) % 206.54/206.84 (step @p590 :rule eq_resolve :premises (@p589 @p563)) % 206.54/206.84 (step @p591 :rule chain_m_resolution :premises (@p590 @p397 @p559 @p557 @p495 @p555 @p553 @p551) :args (@t409 (@list true false false true true true false) (@list @t232 @t367 @t368 @t372 @t371 @t369 @t411))) % 206.54/206.84 (step @p592 :rule cnf_and_pos :args (@t371 0)) % 206.54/206.84 (step @p593 :rule reordering :premises (@p592) :args ((or @t370 @t414))) % 206.54/206.84 (step @p594 :rule chain_m_resolution :premises (@p593 @p591) :args (@t414 @t162 (@list @t370))) % 206.54/206.84 (step @p595 :rule chain_m_resolution :premises (@p557 @p594 @p495) :args (@t368 (@list true true) (@list @t371 @t372))) % 206.54/206.84 (step @p596 :rule cnf_and_pos :args (@t368 1)) % 206.54/206.84 (step @p597 :rule reordering :premises (@p596) :args ((or @t365 @t415))) % 206.54/206.84 (step @p598 :rule chain_m_resolution :premises (@p597 @p595) :args (@t365 @t168 @t418)) % 206.54/206.84 (assume-push @p716 @t365) % 206.54/206.84 (assume-push @p717 @t419) % 206.54/206.84 (assume-push @p718 @t365) % 206.54/206.84 (assume-push @p719 @t419) % 206.54/206.84 (step @p603 :rule symm :premises (@p716)) % 206.54/206.84 (step @p604 :rule cong :premises (@p717) :args (@t198)) % 206.54/206.84 (step @p605 :rule trans :premises (@p604 @p603)) % 206.54/206.84 (step-pop @p720 :rule scope :premises (@p605)) % 206.54/206.84 (step-pop @p721 :rule scope :premises (@p720)) % 206.54/206.84 (step @p606 :rule process_scope :premises (@p721) :args (@t204)) % 206.54/206.84 (step @p609 :rule and_intro :premises (@p716 @p717)) % 206.54/206.84 (step @p610 :rule modus_ponens :premises (@p609 @p606)) % 206.54/206.84 (step-pop @p722 :rule scope :premises (@p610)) % 206.54/206.84 (step-pop @p723 :rule scope :premises (@p722)) % 206.54/206.84 (step @p611 :rule process_scope :premises (@p723) :args (@t204)) % 206.54/206.84 (step @p614 :rule implies_elim :premises (@p611)) % 206.54/206.84 (step @p615 :rule cnf_and_neg :args (@t420)) % 206.54/206.84 (step @p616 :rule resolution :premises (@p615 @p614) :args (true @t420)) % 206.54/206.84 (step @p617 :rule reordering :premises (@p616) :args ((or @t204 @t422 @t421))) % 206.54/206.84 (step @p618 :rule chain_m_resolution :premises (@p617 @p598 @p153) :args (@t421 (@list false true) (@list @t365 @t204))) % 206.54/206.84 (step @p619 :rule bool-double-not-elim :args (@t373)) % 206.54/206.84 (step @p620 :rule refl :args (@t375)) % 206.54/206.84 (step @p621 :rule nary_cong :premises (@p620 @p619) :args ((or @t375 (not @t374)))) % 206.54/206.84 (step @p622 :rule cnf_or_neg :args (@t375 0)) % 206.54/206.84 (step @p623 :rule eq_resolve :premises (@p622 @p621)) % 206.54/206.84 (step @p624 :rule reordering :premises (@p623) :args ((or @t373 @t375))) % 206.54/206.84 (step @p625 :rule chain_m_resolution :premises (@p624 @p493) :args (@t373 @t162 @t383)) % 206.54/206.84 (step @p626 :rule refl :args (@t422)) % 206.54/206.84 (step @p627 :rule bool-double-not-elim :args (@t419)) % 206.54/206.84 (step @p628 :rule refl :args (@t423)) % 206.54/206.84 (step @p629 :rule nary_cong :premises (@p628 @p127 @p481 @p627 @p626) :args ((or @t423 @t201 @t374 (not @t421) @t422))) % 206.54/206.84 (step @p630 :rule cnf_and_neg :args (@t423)) % 206.54/206.84 (step @p631 :rule eq_resolve :premises (@p630 @p629)) % 206.54/206.84 (step @p632 :rule reordering :premises (@p631) :args ((or @t201 @t374 @t422 @t419 @t423))) % 206.54/206.84 (step @p633 :rule chain_m_resolution :premises (@p632 @p150 @p625 @p598 @p618) :args (@t423 @t424 (@list @t200 @t373 @t365 @t419))) % 206.54/206.84 (step @p634 :rule cnf_equiv_pos2 :args (@t426)) % 206.54/206.84 (step @p635 :rule reordering :premises (@p634) :args ((or @t425 (not @t423) (not @t426)))) % 206.54/206.84 (step @p636 :rule chain_m_resolution :premises (@p635 @p633 @p119) :args (@t425 @t167 (@list @t423 @t426))) % 206.54/206.84 (step @p637 :rule eq-symm :args (@t195 @t174)) % 206.54/206.84 (step @p638 :rule cong :premises (@p637) :args (@t427)) % 206.54/206.84 (step @p639 :rule refl :args (@t373)) % 206.54/206.84 (step @p640 :rule nary_cong :premises (@p639 @p208 @p638 @p475) :args (@t428)) % 206.54/206.84 (step @p641 :rule refl :args (@t429)) % 206.54/206.84 (step @p642 :rule cong :premises (@p641 @p640) :args (@t430)) % 206.54/206.84 (step @p643 :rule cong :premises (@p213 @p642) :args ((=> @t196 @t430))) % 206.54/206.84 (assume-push @p724 @t196) % 206.54/206.84 (step @p645 :rule instantiate :premises (@p118) :args ((@list @t195 @t174))) % 206.54/206.84 (step-pop @p725 :rule scope :premises (@p645)) % 206.54/206.84 (step @p646 :rule process_scope :premises (@p725) :args (@t430)) % 206.54/206.84 (step @p648 :rule eq_resolve :premises (@p646 @p643)) % 206.54/206.84 (step @p649 :rule implies_elim :premises (@p648)) % 206.54/206.84 (step @p650 :rule chain_m_resolution :premises (@p649 @p118) :args (@t434 @t168 @t239)) % 206.54/206.84 (step @p651 :rule chain_m_resolution :premises (@p559 @p595) :args (@t367 @t168 @t418)) % 206.54/206.84 (assume-push @p726 @t367) % 206.54/206.84 (assume-push @p727 @t365) % 206.54/206.84 (assume-push @p728 @t431) % 206.54/206.84 (assume-push @p729 @t367) % 206.54/206.84 (assume-push @p730 @t431) % 206.54/206.84 (assume-push @p731 @t365) % 206.54/206.84 (step @p658 :rule symm :premises (@p728)) % 206.54/206.84 (step @p659 :rule cong :premises (@p658) :args (@t364)) % 206.54/206.84 (step @p660 :rule trans :premises (@p727 @p659 @p726)) % 206.54/206.84 (step-pop @p732 :rule scope :premises (@p660)) % 206.54/206.84 (step-pop @p733 :rule scope :premises (@p732)) % 206.54/206.84 (step-pop @p734 :rule scope :premises (@p733)) % 206.54/206.84 (step @p661 :rule process_scope :premises (@p734) :args (@t370)) % 206.54/206.84 (step @p665 :rule and_intro :premises (@p726 @p728 @p727)) % 206.54/206.84 (step @p666 :rule modus_ponens :premises (@p665 @p661)) % 206.54/206.84 (step-pop @p735 :rule scope :premises (@p666)) % 206.54/206.84 (step-pop @p736 :rule scope :premises (@p735)) % 206.54/206.84 (step-pop @p737 :rule scope :premises (@p736)) % 206.54/206.84 (step @p667 :rule process_scope :premises (@p737) :args (@t370)) % 206.54/206.84 (step @p671 :rule implies_elim :premises (@p667)) % 206.54/206.84 (step @p672 :rule cnf_and_neg :args (@t435)) % 206.54/206.84 (step @p673 :rule resolution :premises (@p672 @p671) :args (true @t435)) % 206.54/206.84 (step @p674 :rule reordering :premises (@p673) :args ((or @t370 @t416 @t422 @t432))) % 206.54/206.84 (step @p675 :rule chain_m_resolution :premises (@p674 @p651 @p591 @p598) :args (@t432 (@list false true false) (@list @t367 @t370 @t365))) % 206.54/206.84 (step @p676 :rule bool-double-not-elim :args (@t431)) % 206.54/206.84 (step @p677 :rule refl :args (@t433)) % 206.54/206.84 (step @p678 :rule nary_cong :premises (@p677 @p481 @p391 @p676 @p560) :args ((or @t433 @t374 @t330 (not @t432) @t416))) % 206.54/206.84 (step @p679 :rule cnf_and_neg :args (@t433)) % 206.54/206.84 (step @p680 :rule eq_resolve :premises (@p679 @p678)) % 206.54/206.84 (step @p681 :rule reordering :premises (@p680) :args ((or @t330 @t374 @t416 @t431 @t433))) % 206.54/206.84 (step @p682 :rule chain_m_resolution :premises (@p681 @p385 @p625 @p651 @p675) :args (@t433 @t424 (@list @t210 @t373 @t367 @t431))) % 206.54/206.84 (step @p683 :rule cnf_equiv_pos2 :args (@t434)) % 206.54/206.84 (step @p684 :rule reordering :premises (@p683) :args ((or @t429 (not @t433) (not @t434)))) % 206.54/206.84 (step @p685 :rule chain_m_resolution :premises (@p684 @p682 @p650) :args (@t429 @t167 (@list @t433 @t434))) % 206.54/206.84 (step @p686 :rule cnf_and_neg :args (@t436)) % 206.54/206.84 (step @p687 :rule reordering :premises (@p686) :args ((or @t178 @t330 @t201 @t374 (not @t429) (not @t425) @t436))) % 206.54/206.84 (step @p688 :rule chain_m_resolution :premises (@p687 @p144 @p385 @p150 @p625 @p685 @p636) :args (@t436 (@list false false false false false false) (@list @t177 @t210 @t200 @t373 @t429 @t425))) % 206.54/206.84 (step @p689 :rule cnf_equiv_pos2 :args (@t438)) % 206.54/206.84 (step @p690 :rule reordering :premises (@p689) :args ((or @t437 (not @t436) (not @t438)))) % 206.54/206.84 (step @p691 :rule chain_m_resolution :premises (@p690 @p688 @p116) :args (@t437 @t167 (@list @t436 @t438))) % 206.54/206.84 (assume-push @p738 @t175) % 206.54/206.84 (step @p693 :rule instantiate :premises (@p115) :args ((@list @t195))) % 206.54/206.84 (step-pop @p739 :rule scope :premises (@p693)) % 206.54/206.84 (step @p694 :rule process_scope :premises (@p739) :args ((not @t437))) % 206.54/206.84 (step @p696 :rule implies_elim :premises (@p694)) % 206.54/206.84 (step @p697 false :rule chain_m_resolution :premises (@p696 @p691 @p115) :args (false @t167 (@list @t437 @t175))) % 206.54/206.84 ) % 206.54/206.84 % SZS output end Proof % 206.54/206.84 % cvc5 exiting %------------------------------------------------------------------------------