%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRA012+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 08:18:32 AM UTC 2026 % Result : Theorem 206.23s 206.55s % Output : Proof 206.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRA012+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 % 0.17/0.34 % Computer : n025.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 00:14:46 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 206.23/206.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 206.23/206.55 --- Run --no-e-matching --full-saturate-quant at 6... % 206.23/206.55 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 206.23/206.55 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 206.23/206.55 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 206.23/206.55 --- Run --trigger-sel=max --full-saturate-quant at 15... % 206.23/206.55 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 206.23/206.55 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 206.23/206.55 --- Run --prenex-quant=none --full-saturate-quant at 30... % 206.23/206.55 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 206.23/206.55 --- Run --relevant-triggers --full-saturate-quant at 30... % 206.23/206.55 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 206.23/206.55 % SZS status Theorem % 206.23/206.55 % SZS output start Proof % 206.23/206.55 ( % 206.23/206.55 (declare-sort $$unsorted 0) % 206.23/206.55 (declare-const tptp.graph $$unsorted) % 206.23/206.55 (declare-const tptp.number_of_in (-> $$unsorted $$unsorted $$unsorted)) % 206.23/206.55 (declare-const tptp.edges $$unsorted) % 206.23/206.55 (declare-const tptp.triangle (-> $$unsorted $$unsorted $$unsorted Bool)) % 206.23/206.55 (declare-const tptp.shortest_path (-> $$unsorted $$unsorted $$unsorted Bool)) % 206.23/206.55 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 206.23/206.55 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 206.23/206.55 (declare-const tptp.tail_of (-> $$unsorted $$unsorted)) % 206.23/206.55 (declare-const tptp.triangles $$unsorted) % 206.23/206.55 (declare-const tptp.in_path (-> $$unsorted $$unsorted Bool)) % 206.23/206.55 (declare-const tptp.head_of (-> $$unsorted $$unsorted)) % 206.23/206.55 (declare-const tptp.sequential_pairs $$unsorted) % 206.23/206.55 (declare-const tptp.edge (-> $$unsorted Bool)) % 206.23/206.55 (declare-const tptp.path_cons (-> $$unsorted $$unsorted $$unsorted)) % 206.23/206.55 (declare-const tptp.precedes (-> $$unsorted $$unsorted $$unsorted Bool)) % 206.23/206.55 (declare-const tptp.complete Bool) % 206.23/206.55 (declare-const tptp.path (-> $$unsorted $$unsorted $$unsorted Bool)) % 206.23/206.55 (declare-const tptp.vertex (-> $$unsorted Bool)) % 206.23/206.55 (declare-const tptp.on_path (-> $$unsorted $$unsorted Bool)) % 206.23/206.55 (declare-const tptp.empty $$unsorted) % 206.23/206.55 (declare-const tptp.n1 $$unsorted) % 206.23/206.55 (declare-const tptp.sequential (-> $$unsorted $$unsorted Bool)) % 206.23/206.55 (declare-const tptp.length_of (-> $$unsorted $$unsorted)) % 206.23/206.55 (define @t1 () (@var "E" $$unsorted)) % 206.23/206.55 (define @t2 () (tptp.tail_of @t1)) % 206.23/206.55 (define @t3 () (tptp.head_of @t1)) % 206.23/206.55 (define @t4 () (not (= @t3 @t2))) % 206.23/206.55 (define @t5 () (tptp.edge @t1)) % 206.23/206.55 (define @t6 () (@list @t1)) % 206.23/206.55 (define @t7 () (forall @t6 (=> @t5 @t4))) % 206.23/206.55 (define @t8 () (and (tptp.vertex @t3) (tptp.vertex @t2))) % 206.23/206.55 (define @t9 () (forall @t6 (=> @t5 @t8))) % 206.23/206.55 (define @t10 () (@var "V1" $$unsorted)) % 206.23/206.55 (define @t11 () (= @t10 @t2)) % 206.23/206.55 (define @t12 () (@var "V2" $$unsorted)) % 206.23/206.55 (define @t13 () (= @t12 @t3)) % 206.23/206.55 (define @t14 () (and @t13 @t11)) % 206.23/206.55 (define @t15 () (and (= @t10 @t3) (= @t12 @t2))) % 206.23/206.55 (define @t16 () (xor @t15 @t14)) % 206.23/206.55 (define @t17 () (and @t5 @t16)) % 206.23/206.55 (define @t18 () (exists @t6 @t17)) % 206.23/206.55 (define @t19 () (= @t10 @t12)) % 206.23/206.55 (define @t20 () (not @t19)) % 206.23/206.55 (define @t21 () (tptp.vertex @t12)) % 206.23/206.55 (define @t22 () (tptp.vertex @t10)) % 206.23/206.55 (define @t23 () (and @t22 @t21 @t20)) % 206.23/206.55 (define @t24 () (=> @t23 @t18)) % 206.23/206.55 (define @t25 () (@list @t10 @t12)) % 206.23/206.55 (define @t26 () (forall @t25 @t24)) % 206.23/206.55 (define @t27 () (=> tptp.complete @t26)) % 206.23/206.55 (define @t28 () (@var "P" $$unsorted)) % 206.23/206.55 (define @t29 () (tptp.path @t10 @t12 @t28)) % 206.23/206.55 (define @t30 () (@var "TP" $$unsorted)) % 206.23/206.55 (define @t31 () (exists (@list @t30) (and (tptp.path @t3 @t12 @t30) (= @t28 (tptp.path_cons @t1 @t30))))) % 206.23/206.55 (define @t32 () (and @t13 (= @t28 (tptp.path_cons @t1 tptp.empty)))) % 206.23/206.55 (define @t33 () (@list @t10 @t12 @t28)) % 206.23/206.55 (define @t34 () (and @t5 (tptp.in_path @t3 @t28) (tptp.in_path @t2 @t28))) % 206.23/206.55 (define @t35 () (tptp.on_path @t1 @t28)) % 206.23/206.55 (define @t36 () (and @t29 @t35)) % 206.23/206.55 (define @t37 () (@list @t10 @t12 @t28 @t1)) % 206.23/206.55 (define @t38 () (forall @t37 (=> @t36 @t34))) % 206.23/206.55 (define @t39 () (@var "V" $$unsorted)) % 206.23/206.55 (define @t40 () (or (= @t39 @t3) (= @t39 @t2))) % 206.23/206.55 (define @t41 () (and @t35 @t40)) % 206.23/206.55 (define @t42 () (exists @t6 @t41)) % 206.23/206.55 (define @t43 () (tptp.vertex @t39)) % 206.23/206.55 (define @t44 () (and @t43 @t42)) % 206.23/206.55 (define @t45 () (tptp.in_path @t39 @t28)) % 206.23/206.55 (define @t46 () (and @t29 @t45)) % 206.23/206.55 (define @t47 () (=> @t46 @t44)) % 206.23/206.55 (define @t48 () (@list @t10 @t12 @t28 @t39)) % 206.23/206.55 (define @t49 () (forall @t48 @t47)) % 206.23/206.55 (define @t50 () (@var "E2" $$unsorted)) % 206.23/206.55 (define @t51 () (@var "E1" $$unsorted)) % 206.23/206.55 (define @t52 () (not (= @t51 @t50))) % 206.23/206.55 (define @t53 () (tptp.edge @t50)) % 206.23/206.55 (define @t54 () (tptp.edge @t51)) % 206.23/206.55 (define @t55 () (tptp.sequential @t51 @t50)) % 206.23/206.55 (define @t56 () (@list @t51 @t50)) % 206.23/206.55 (define @t57 () (forall @t56 (= @t55 (and @t54 @t53 @t52 (= (tptp.head_of @t51) (tptp.tail_of @t50)))))) % 206.23/206.55 (define @t58 () (tptp.precedes @t51 @t50 @t28)) % 206.23/206.55 (define @t59 () (@var "E3" $$unsorted)) % 206.23/206.55 (define @t60 () (tptp.precedes @t59 @t50 @t28)) % 206.23/206.55 (define @t61 () (tptp.sequential @t51 @t59)) % 206.23/206.55 (define @t62 () (and @t61 @t60)) % 206.23/206.55 (define @t63 () (@list @t59)) % 206.23/206.55 (define @t64 () (exists @t63 @t62)) % 206.23/206.55 (define @t65 () (or @t55 @t64)) % 206.23/206.55 (define @t66 () (tptp.on_path @t50 @t28)) % 206.23/206.55 (define @t67 () (tptp.on_path @t51 @t28)) % 206.23/206.55 (define @t68 () (and @t67 @t66 @t65)) % 206.23/206.55 (define @t69 () (=> @t68 @t58)) % 206.23/206.55 (define @t70 () (forall @t56 @t69)) % 206.23/206.55 (define @t71 () (=> @t29 @t70)) % 206.23/206.55 (define @t72 () (@list @t28 @t10 @t12)) % 206.23/206.55 (define @t73 () (forall @t72 @t71)) % 206.23/206.55 (define @t74 () (xor @t55 @t64)) % 206.23/206.55 (define @t75 () (and @t67 @t66 @t74)) % 206.23/206.55 (define @t76 () (=> @t58 @t75)) % 206.23/206.55 (define @t77 () (forall @t56 @t76)) % 206.23/206.55 (define @t78 () (=> @t29 @t77)) % 206.23/206.55 (define @t79 () (forall @t72 @t78)) % 206.23/206.55 (define @t80 () (tptp.length_of @t28)) % 206.23/206.55 (define @t81 () (@var "SP" $$unsorted)) % 206.23/206.55 (define @t82 () (tptp.less_or_equal (tptp.length_of @t81) @t80)) % 206.23/206.55 (define @t83 () (@list @t28)) % 206.23/206.55 (define @t84 () (forall @t83 (=> @t29 @t82))) % 206.23/206.55 (define @t85 () (tptp.path @t10 @t12 @t81)) % 206.23/206.55 (define @t86 () (and @t85 @t20 @t84)) % 206.23/206.55 (define @t87 () (tptp.shortest_path @t10 @t12 @t81)) % 206.23/206.55 (define @t88 () (= @t87 @t86)) % 206.23/206.55 (define @t89 () (@list @t10 @t12 @t81)) % 206.23/206.55 (define @t90 () (forall @t89 @t88)) % 206.23/206.55 (define @t91 () (not (tptp.precedes @t50 @t51 @t28))) % 206.23/206.55 (define @t92 () (tptp.head_of @t50)) % 206.23/206.55 (define @t93 () (= (tptp.head_of @t59) @t92)) % 206.23/206.55 (define @t94 () (tptp.tail_of @t51)) % 206.23/206.55 (define @t95 () (= (tptp.tail_of @t59) @t94)) % 206.23/206.55 (define @t96 () (and @t95 @t93)) % 206.23/206.55 (define @t97 () (exists @t63 @t96)) % 206.23/206.55 (define @t98 () (not @t97)) % 206.23/206.55 (define @t99 () (and @t98 @t91)) % 206.23/206.55 (define @t100 () (tptp.shortest_path @t10 @t12 @t28)) % 206.23/206.55 (define @t101 () (and @t100 @t58)) % 206.23/206.55 (define @t102 () (=> @t101 @t99)) % 206.23/206.55 (define @t103 () (@list @t10 @t12 @t51 @t50 @t28)) % 206.23/206.55 (define @t104 () (forall @t103 @t102)) % 206.23/206.55 (define @t105 () (tptp.triangle @t51 @t50 @t59)) % 206.23/206.55 (define @t106 () (tptp.minus @t80 tptp.n1)) % 206.23/206.55 (define @t107 () (tptp.number_of_in tptp.sequential_pairs @t28)) % 206.23/206.55 (define @t108 () (= @t107 @t106)) % 206.23/206.55 (define @t109 () (forall @t33 (=> @t29 @t108))) % 206.23/206.55 (define @t110 () (tptp.number_of_in tptp.triangles @t28)) % 206.23/206.55 (define @t111 () (= @t107 @t110)) % 206.23/206.55 (define @t112 () (exists @t63 @t105)) % 206.23/206.55 (define @t113 () (and @t67 @t66 @t55)) % 206.23/206.55 (define @t114 () (=> @t113 @t112)) % 206.23/206.55 (define @t115 () (forall @t56 @t114)) % 206.23/206.55 (define @t116 () (and @t29 @t115)) % 206.23/206.55 (define @t117 () (=> @t116 @t111)) % 206.23/206.55 (define @t118 () (forall @t72 @t117)) % 206.23/206.55 (define @t119 () (@var "Things" $$unsorted)) % 206.23/206.55 (define @t120 () (@var "InThese" $$unsorted)) % 206.23/206.55 (define @t121 () (=> @t100 (= @t110 @t106))) % 206.23/206.55 (define @t122 () (forall @t72 @t121)) % 206.23/206.55 (define @t123 () (=> tptp.complete @t122)) % 206.23/206.55 (define @t124 () (not @t123)) % 206.23/206.55 (define @t125 () (@const 0 (-> $$unsorted it_4_$$unsorted))) % 206.23/206.55 (define @t126 () (_ @t125 @t1)) % 206.23/206.55 (define @t127 () (@const 1 (-> $$unsorted it_4_$$unsorted))) % 206.23/206.55 (define @t128 () (_ @t127 @t1)) % 206.23/206.55 (define @t129 () (not @t5)) % 206.23/206.55 (define @t130 () (forall @t6 (or @t129 (not (= @t128 @t126))))) % 206.23/206.55 (define @t131 () (not (forall @t63 (not @t105)))) % 206.23/206.55 (define @t132 () (not @t55)) % 206.23/206.55 (define @t133 () (@var "b_P" it_15_$$unsorted)) % 206.23/206.55 (define @t134 () (@const 2 it_90_$$unsorted)) % 206.23/206.55 (define @t135 () (@const 3 (-> it_90_$$unsorted it_15_$$unsorted it_71_$$unsorted))) % 206.23/206.55 (define @t136 () (@const 4 it_99_$$unsorted)) % 206.23/206.55 (define @t137 () (@const 5 (-> it_15_$$unsorted it_71_$$unsorted))) % 206.23/206.55 (define @t138 () (@const 6 (-> it_71_$$unsorted it_99_$$unsorted it_71_$$unsorted))) % 206.23/206.55 (define @t139 () (@var "b_V2" it_4_$$unsorted)) % 206.23/206.55 (define @t140 () (@var "b_V1" it_4_$$unsorted)) % 206.23/206.55 (define @t141 () (@const 7 (-> it_4_$$unsorted it_4_$$unsorted it_15_$$unsorted Bool))) % 206.23/206.55 (define @t142 () (forall (@list @t133 @t140 @t139) (or (not (_ @t141 @t140 @t139 @t133)) (= (_ @t138 (_ @t137 @t133) @t136) (_ @t135 @t134 @t133))))) % 206.23/206.55 (define @t143 () (@quantifiers_skolemize @t142 0)) % 206.23/206.55 (define @t144 () (@const 8 (-> $$unsorted it_15_$$unsorted Bool))) % 206.23/206.55 (define @t145 () (forall @t56 (or (not (_ @t144 @t51 @t143)) (not (_ @t144 @t50 @t143)) @t132 @t131))) % 206.23/206.55 (define @t146 () (@quantifiers_skolemize @t145 1)) % 206.23/206.55 (define @t147 () (_ @t127 @t146)) % 206.23/206.55 (define @t148 () (_ @t125 @t146)) % 206.23/206.55 (define @t149 () (not (= @t147 @t148))) % 206.23/206.55 (define @t150 () (tptp.edge @t146)) % 206.23/206.55 (define @t151 () (not @t150)) % 206.23/206.55 (define @t152 () (or @t151 @t149)) % 206.23/206.55 (define @t153 () (@list @t146)) % 206.23/206.55 (define @t154 () (= @t148 @t147)) % 206.23/206.55 (define @t155 () (not @t154)) % 206.23/206.55 (define @t156 () (or @t151 @t155)) % 206.23/206.55 (define @t157 () (@list false)) % 206.23/206.55 (define @t158 () (forall @t56 (= @t55 (and @t54 @t53 @t52 (= (_ @t127 @t51) (_ @t125 @t50)))))) % 206.23/206.55 (define @t159 () (@quantifiers_skolemize @t145 0)) % 206.23/206.55 (define @t160 () (@var "b_P" it_15_$$unsorted)) % 206.23/206.55 (define @t161 () (@const 9 it_90_$$unsorted)) % 206.23/206.55 (define @t162 () (@var "b_V2" it_4_$$unsorted)) % 206.23/206.55 (define @t163 () (@var "b_V1" it_4_$$unsorted)) % 206.23/206.55 (define @t164 () (@const 10 (-> it_4_$$unsorted it_4_$$unsorted it_15_$$unsorted Bool))) % 206.23/206.55 (define @t165 () (forall (@list @t160 @t163 @t162) (or (not (_ @t164 @t163 @t162 @t160)) (not (forall @t56 (or (not (_ @t144 @t51 @t160)) (not (_ @t144 @t50 @t160)) @t132 @t131))) (= (_ @t135 @t161 @t160) (_ @t135 @t134 @t160))))) % 206.23/206.55 (define @t166 () (not @t66)) % 206.23/206.55 (define @t167 () (not @t67)) % 206.23/206.55 (define @t168 () (or @t167 @t166 @t132 @t131)) % 206.23/206.55 (define @t169 () (forall @t56 @t168)) % 206.23/206.55 (define @t170 () (not @t169)) % 206.23/206.55 (define @t171 () (not @t29)) % 206.23/206.55 (define @t172 () (or @t171 @t170 @t111)) % 206.23/206.55 (define @t173 () (and @t29 @t169)) % 206.23/206.55 (define @t174 () (or @t167 @t166 @t132)) % 206.23/206.55 (define @t175 () (_ @t135 @t161 @t143)) % 206.23/206.55 (define @t176 () (_ @t135 @t134 @t143)) % 206.23/206.55 (define @t177 () (not @t145)) % 206.23/206.55 (define @t178 () (@quantifiers_skolemize @t142 2)) % 206.23/206.55 (define @t179 () (@quantifiers_skolemize @t142 1)) % 206.23/206.55 (define @t180 () (_ @t164 @t179 @t178 @t143)) % 206.23/206.55 (define @t181 () (not @t180)) % 206.23/206.55 (define @t182 () (or @t181 @t177 (= @t175 @t176))) % 206.23/206.55 (define @t183 () (= @t176 @t175)) % 206.23/206.55 (define @t184 () (or @t181 @t177 @t183)) % 206.23/206.55 (define @t185 () (@var "b_P" it_15_$$unsorted)) % 206.23/206.55 (define @t186 () (@var "b_V2" it_4_$$unsorted)) % 206.23/206.55 (define @t187 () (@var "b_V1" it_4_$$unsorted)) % 206.23/206.55 (define @t188 () (forall (@list @t187 @t186 @t185) (or (not (_ @t164 @t187 @t186 @t185)) (= (_ @t135 @t161 @t185) (_ @t138 (_ @t137 @t185) @t136))))) % 206.23/206.55 (define @t189 () (_ @t137 @t143)) % 206.23/206.55 (define @t190 () (_ @t138 @t189 @t136)) % 206.23/206.55 (define @t191 () (or @t181 (= @t175 @t190))) % 206.23/206.55 (define @t192 () (@list @t179 @t178 @t143)) % 206.23/206.55 (define @t193 () (= @t190 @t175)) % 206.23/206.55 (define @t194 () (or @t181 @t193)) % 206.23/206.55 (define @t195 () (@var "b_P" it_15_$$unsorted)) % 206.23/206.55 (define @t196 () (_ @t137 @t195)) % 206.23/206.55 (define @t197 () (@var "b_SP" it_15_$$unsorted)) % 206.23/206.55 (define @t198 () (@const 11 (-> it_71_$$unsorted it_71_$$unsorted Bool))) % 206.23/206.55 (define @t199 () (@var "b_V2" it_4_$$unsorted)) % 206.23/206.55 (define @t200 () (@var "b_V1" it_4_$$unsorted)) % 206.23/206.55 (define @t201 () (@list @t195)) % 206.23/206.55 (define @t202 () (=> tptp.complete @t142)) % 206.23/206.55 (define @t203 () (not @t202)) % 206.23/206.55 (define @t204 () (= @t106 @t110)) % 206.23/206.55 (define @t205 () (not @t100)) % 206.23/206.55 (define @t206 () (_ @t141 @t179 @t178 @t143)) % 206.23/206.55 (define @t207 () (= @t190 @t176)) % 206.23/206.55 (define @t208 () (not @t206)) % 206.23/206.55 (define @t209 () (or @t208 @t207)) % 206.23/206.55 (define @t210 () (@list true)) % 206.23/206.55 (define @t211 () (@list @t209)) % 206.23/206.55 (define @t212 () (and @t180 (not (= @t179 @t178)) (forall @t201 (or (not (_ @t164 @t179 @t178 @t195)) (_ @t198 @t189 @t196))))) % 206.23/206.55 (define @t213 () (= @t206 @t212)) % 206.23/206.55 (define @t214 () (@list false false)) % 206.23/206.55 (define @t215 () (not @t207)) % 206.23/206.55 (define @t216 () (not @t183)) % 206.23/206.55 (define @t217 () (not @t193)) % 206.23/206.55 (define @t218 () (= false true)) % 206.23/206.55 (define @t219 () (and @t193 @t183 @t215)) % 206.23/206.55 (define @t220 () (@list true false)) % 206.23/206.55 (define @t221 () (@list false true false)) % 206.23/206.55 (define @t222 () (forall @t63 (not (tptp.triangle @t159 @t146 @t59)))) % 206.23/206.55 (define @t223 () (not @t222)) % 206.23/206.55 (define @t224 () (tptp.sequential @t159 @t146)) % 206.23/206.55 (define @t225 () (not @t224)) % 206.23/206.55 (define @t226 () (_ @t144 @t146 @t143)) % 206.23/206.55 (define @t227 () (not @t226)) % 206.23/206.55 (define @t228 () (_ @t144 @t159 @t143)) % 206.23/206.55 (define @t229 () (not @t228)) % 206.23/206.55 (define @t230 () (or @t229 @t227 @t225 @t223)) % 206.23/206.55 (define @t231 () (not @t230)) % 206.23/206.55 (define @t232 () (@list @t230)) % 206.23/206.55 (define @t233 () (_ @t127 @t159)) % 206.23/206.55 (define @t234 () (= @t159 @t146)) % 206.23/206.55 (define @t235 () (not @t234)) % 206.23/206.55 (define @t236 () (tptp.edge @t159)) % 206.23/206.55 (define @t237 () (and @t236 @t150 @t235 (= @t233 @t148))) % 206.23/206.55 (define @t238 () (= @t224 @t237)) % 206.23/206.55 (define @t239 () (not @t237)) % 206.23/206.55 (define @t240 () (@list @t237)) % 206.23/206.55 (define @t241 () (@var "b_V1" it_4_$$unsorted)) % 206.23/206.55 (define @t242 () (@var "b_V2" it_4_$$unsorted)) % 206.23/206.55 (define @t243 () (@const 12 (-> it_4_$$unsorted Bool))) % 206.23/206.55 (define @t244 () (forall (@list @t241 @t242) (or (not (_ @t243 @t241)) (not (_ @t243 @t242)) (= @t241 @t242) (not (forall @t6 (or @t129 (= (and (= @t128 @t241) (= @t126 @t242)) (and (= @t128 @t242) (= @t126 @t241))))))))) % 206.23/206.55 (define @t245 () (=> tptp.complete @t244)) % 206.23/206.55 (define @t246 () (and (= @t3 @t12) (= @t2 @t10))) % 206.23/206.55 (define @t247 () (and (= @t3 @t10) (= @t2 @t12))) % 206.23/206.55 (define @t248 () (not (forall @t6 (or @t129 (= @t247 @t246))))) % 206.23/206.55 (define @t249 () (not @t21)) % 206.23/206.55 (define @t250 () (not @t22)) % 206.23/206.55 (define @t251 () (or @t250 @t249 @t19 @t248)) % 206.23/206.55 (define @t252 () (not @t20)) % 206.23/206.55 (define @t253 () (or @t250 @t249 @t252)) % 206.23/206.55 (define @t254 () (xor @t247 @t246)) % 206.23/206.55 (define @t255 () (and @t5 @t254)) % 206.23/206.55 (define @t256 () (forall @t6 (not @t255))) % 206.23/206.55 (define @t257 () (not @t256)) % 206.23/206.55 (define @t258 () (_ @t125 @t159)) % 206.23/206.55 (define @t259 () (= @t147 @t258)) % 206.23/206.55 (define @t260 () (not (= @t146 @t159))) % 206.23/206.55 (define @t261 () (and @t150 @t236 @t260 @t259)) % 206.23/206.55 (define @t262 () (tptp.sequential @t146 @t159)) % 206.23/206.55 (define @t263 () (= @t262 @t261)) % 206.23/206.55 (define @t264 () (and @t150 @t236 @t235 @t259)) % 206.23/206.55 (define @t265 () (= @t262 @t264)) % 206.23/206.55 (define @t266 () (@list @t158)) % 206.23/206.55 (define @t267 () (@var "b_P" it_15_$$unsorted)) % 206.23/206.55 (define @t268 () (@var "BOUND_VARIABLE_7831" $$unsorted)) % 206.23/206.55 (define @t269 () (@var "BOUND_VARIABLE_7829" $$unsorted)) % 206.23/206.55 (define @t270 () (@const 13 (-> $$unsorted $$unsorted it_15_$$unsorted Bool))) % 206.23/206.55 (define @t271 () (@var "BOUND_VARIABLE_7833" $$unsorted)) % 206.23/206.55 (define @t272 () (not (tptp.sequential @t269 @t271))) % 206.23/206.55 (define @t273 () (not (tptp.sequential @t269 @t268))) % 206.23/206.55 (define @t274 () (@var "b_V2" it_4_$$unsorted)) % 206.23/206.55 (define @t275 () (@var "b_V1" it_4_$$unsorted)) % 206.23/206.55 (define @t276 () (tptp.precedes @t269 @t268 @t28)) % 206.23/206.55 (define @t277 () (and @t273 (or @t272 (not (tptp.precedes @t271 @t268 @t28))))) % 206.23/206.55 (define @t278 () (not (tptp.on_path @t268 @t28))) % 206.23/206.55 (define @t279 () (not (tptp.on_path @t269 @t28))) % 206.23/206.55 (define @t280 () (or @t171 @t279 @t278 @t277 @t276)) % 206.23/206.55 (define @t281 () (@list @t28 @t10 @t12 @t269 @t268 @t271)) % 206.23/206.55 (define @t282 () (or @t279 @t278 @t277 @t276)) % 206.23/206.55 (define @t283 () (or @t171 @t282)) % 206.23/206.55 (define @t284 () (forall @t281 @t283)) % 206.23/206.55 (define @t285 () (@list @t269 @t268 @t271)) % 206.23/206.55 (define @t286 () (forall @t285 @t283)) % 206.23/206.55 (define @t287 () (forall @t285 @t282)) % 206.23/206.55 (define @t288 () (@var "BOUND_VARIABLE_7814" $$unsorted)) % 206.23/206.55 (define @t289 () (or @t171 @t287)) % 206.23/206.55 (define @t290 () (or (not (tptp.sequential @t51 @t288)) (not (tptp.precedes @t288 @t50 @t28)))) % 206.23/206.55 (define @t291 () (and @t132 @t290)) % 206.23/206.55 (define @t292 () (or @t167 @t166 @t291 @t58)) % 206.23/206.55 (define @t293 () (forall (@list @t51 @t50 @t288) @t292)) % 206.23/206.55 (define @t294 () (@list @t288)) % 206.23/206.55 (define @t295 () (forall @t294 @t292)) % 206.23/206.55 (define @t296 () (forall @t294 @t290)) % 206.23/206.55 (define @t297 () (@list @t59)) % 206.23/206.55 (define @t298 () (forall @t294 @t132)) % 206.23/206.55 (define @t299 () (and @t298 @t296)) % 206.23/206.55 (define @t300 () (forall @t294 @t291)) % 206.23/206.55 (define @t301 () (or @t167 @t166 @t300 @t58)) % 206.23/206.55 (define @t302 () (forall @t63 (or (not @t61) (not @t60)))) % 206.23/206.55 (define @t303 () (and @t132 @t302)) % 206.23/206.55 (define @t304 () (or @t167 @t166 @t303 @t58)) % 206.23/206.55 (define @t305 () (not @t302)) % 206.23/206.55 (define @t306 () (or @t55 @t305)) % 206.23/206.55 (define @t307 () (not @t306)) % 206.23/206.55 (define @t308 () (or @t167 @t166 @t307)) % 206.23/206.55 (define @t309 () (and @t67 @t66 @t306)) % 206.23/206.55 (define @t310 () (forall @t63 (not @t62))) % 206.23/206.55 (define @t311 () (not @t310)) % 206.23/206.55 (define @t312 () (@var "b_P" it_15_$$unsorted)) % 206.23/206.55 (define @t313 () (@var "BOUND_VARIABLE_7874" $$unsorted)) % 206.23/206.55 (define @t314 () (@var "BOUND_VARIABLE_7872" $$unsorted)) % 206.23/206.55 (define @t315 () (not (tptp.sequential @t314 @t59))) % 206.23/206.55 (define @t316 () (not (tptp.sequential @t314 @t313))) % 206.23/206.55 (define @t317 () (@var "b_V2" it_4_$$unsorted)) % 206.23/206.55 (define @t318 () (@var "b_V1" it_4_$$unsorted)) % 206.23/206.55 (define @t319 () (and (tptp.on_path @t314 @t28) (tptp.on_path @t313 @t28) (= (not (forall @t63 (or @t315 (not (tptp.precedes @t59 @t313 @t28))))) @t316))) % 206.23/206.55 (define @t320 () (not (tptp.precedes @t314 @t313 @t28))) % 206.23/206.55 (define @t321 () (or @t171 @t320 @t319)) % 206.23/206.55 (define @t322 () (@list @t28 @t10 @t12 @t314 @t313)) % 206.23/206.55 (define @t323 () (or @t320 @t319)) % 206.23/206.55 (define @t324 () (or @t171 @t323)) % 206.23/206.55 (define @t325 () (forall @t322 @t324)) % 206.23/206.55 (define @t326 () (@list @t314 @t313)) % 206.23/206.55 (define @t327 () (forall @t326 @t324)) % 206.23/206.55 (define @t328 () (forall @t326 @t323)) % 206.23/206.55 (define @t329 () (or @t171 @t328)) % 206.23/206.55 (define @t330 () (not @t58)) % 206.23/206.55 (define @t331 () (forall @t56 (or @t330 (and @t67 @t66 (= @t305 @t132))))) % 206.23/206.55 (define @t332 () (and @t67 @t66 (= @t132 @t305))) % 206.23/206.55 (define @t333 () (or @t330 @t332)) % 206.23/206.55 (define @t334 () (and @t67 @t66 (xor @t55 @t305))) % 206.23/206.55 (define @t335 () (_ @t270 @t146 @t146 @t143)) % 206.23/206.55 (define @t336 () (not @t335)) % 206.23/206.55 (define @t337 () (or @t225 @t336)) % 206.23/206.55 (define @t338 () (and @t225 @t337)) % 206.23/206.55 (define @t339 () (not @t338)) % 206.23/206.55 (define @t340 () (_ @t270 @t159 @t146 @t143)) % 206.23/206.55 (define @t341 () (or @t181 @t229 @t227 @t338 @t340)) % 206.23/206.55 (define @t342 () (forall @t63 (or (not (tptp.sequential @t159 @t59)) (not (_ @t270 @t59 @t146 @t143))))) % 206.23/206.55 (define @t343 () (not @t342)) % 206.23/206.55 (define @t344 () (= @t225 @t343)) % 206.23/206.55 (define @t345 () (and @t228 @t226 @t344)) % 206.23/206.55 (define @t346 () (not @t340)) % 206.23/206.55 (define @t347 () (or @t181 @t346 @t345)) % 206.23/206.55 (define @t348 () (@list false false false)) % 206.23/206.55 (define @t349 () (not @t344)) % 206.23/206.55 (define @t350 () (not @t262)) % 206.23/206.55 (define @t351 () (or @t350 @t346)) % 206.23/206.55 (define @t352 () (and (not (tptp.sequential @t146 @t146)) @t351)) % 206.23/206.55 (define @t353 () (or @t181 @t227 @t227 @t352 @t335)) % 206.23/206.55 (define @t354 () (@list false false true false)) % 206.23/206.55 (define @t355 () (not @t264)) % 206.23/206.55 (define @t356 () (not @t259)) % 206.23/206.55 (define @t357 () (not @t236)) % 206.23/206.55 (define @t358 () (@var "b_V" it_4_$$unsorted)) % 206.23/206.55 (define @t359 () (@var "b_P" it_15_$$unsorted)) % 206.23/206.55 (define @t360 () (@const 14 (-> it_4_$$unsorted it_15_$$unsorted Bool))) % 206.23/206.55 (define @t361 () (@var "b_V2" it_4_$$unsorted)) % 206.23/206.55 (define @t362 () (@var "b_V1" it_4_$$unsorted)) % 206.23/206.55 (define @t363 () (= @t2 @t39)) % 206.23/206.55 (define @t364 () (= @t3 @t39)) % 206.23/206.55 (define @t365 () (not @t35)) % 206.23/206.55 (define @t366 () (and @t43 (not (forall @t6 (or @t365 (and (not @t364) (not @t363))))))) % 206.23/206.55 (define @t367 () (not @t45)) % 206.23/206.55 (define @t368 () (or @t171 @t367 @t366)) % 206.23/206.55 (define @t369 () (or @t364 @t363)) % 206.23/206.55 (define @t370 () (and @t35 @t369)) % 206.23/206.55 (define @t371 () (forall @t6 (not @t370))) % 206.23/206.55 (define @t372 () (not @t371)) % 206.23/206.55 (define @t373 () (@var "b_P" it_15_$$unsorted)) % 206.23/206.55 (define @t374 () (@var "b_V2" it_4_$$unsorted)) % 206.23/206.55 (define @t375 () (@var "b_V1" it_4_$$unsorted)) % 206.23/206.55 (define @t376 () (or @t171 @t365 @t34)) % 206.23/206.55 (define @t377 () (_ @t360 @t258 @t143)) % 206.23/206.55 (define @t378 () (and @t236 (_ @t360 @t233 @t143) @t377)) % 206.23/206.55 (define @t379 () (or @t181 @t229 @t378)) % 206.23/206.55 (define @t380 () (= @t126 @t258)) % 206.23/206.55 (define @t381 () (= @t128 @t258)) % 206.23/206.55 (define @t382 () (_ @t243 @t258)) % 206.23/206.55 (define @t383 () (and @t382 (not (forall @t6 (or (not (_ @t144 @t1 @t143)) (and (not @t381) (not @t380))))))) % 206.23/206.55 (define @t384 () (not @t377)) % 206.23/206.55 (define @t385 () (or @t181 @t384 @t383)) % 206.23/206.55 (define @t386 () (_ @t243 @t147)) % 206.23/206.55 (define @t387 () (and @t386 (_ @t243 @t148))) % 206.23/206.55 (define @t388 () (or @t151 @t387)) % 206.23/206.55 (define @t389 () (forall @t6 (or @t129 (= (and (= @t128 @t147) @t380) (and @t381 (= @t126 @t147)))))) % 206.23/206.55 (define @t390 () (not @t389)) % 206.23/206.55 (define @t391 () (not @t382)) % 206.23/206.55 (define @t392 () (not @t386)) % 206.23/206.55 (define @t393 () (or @t392 @t391 @t259 @t390)) % 206.23/206.55 (define @t394 () (@quantifiers_skolemize @t389 0)) % 206.23/206.55 (define @t395 () (_ @t125 @t394)) % 206.23/206.55 (define @t396 () (= @t147 @t395)) % 206.23/206.55 (define @t397 () (_ @t127 @t394)) % 206.23/206.55 (define @t398 () (= @t258 @t397)) % 206.23/206.55 (define @t399 () (and @t398 @t396)) % 206.23/206.55 (define @t400 () (= @t258 @t395)) % 206.23/206.55 (define @t401 () (= @t147 @t397)) % 206.23/206.55 (define @t402 () (and @t401 @t400)) % 206.23/206.55 (define @t403 () (= @t402 @t399)) % 206.23/206.55 (define @t404 () (tptp.edge @t394)) % 206.23/206.55 (define @t405 () (not @t404)) % 206.23/206.55 (define @t406 () (or @t405 @t403)) % 206.23/206.55 (define @t407 () (not @t406)) % 206.23/206.55 (define @t408 () (= @t397 @t258)) % 206.23/206.55 (define @t409 () (and @t408 (= @t395 @t147))) % 206.23/206.55 (define @t410 () (and (= @t397 @t147) (= @t395 @t258))) % 206.23/206.55 (define @t411 () (= @t410 @t409)) % 206.23/206.55 (define @t412 () (or @t405 @t411)) % 206.23/206.55 (define @t413 () (not @t412)) % 206.23/206.55 (define @t414 () (@list @t406)) % 206.23/206.55 (define @t415 () (@var "b_P" it_15_$$unsorted)) % 206.23/206.55 (define @t416 () (@var "BOUND_VARIABLE_7921" $$unsorted)) % 206.23/206.55 (define @t417 () (@var "b_V2" it_4_$$unsorted)) % 206.23/206.55 (define @t418 () (@var "b_V1" it_4_$$unsorted)) % 206.23/206.55 (define @t419 () (tptp.head_of @t416)) % 206.23/206.55 (define @t420 () (tptp.tail_of @t416)) % 206.23/206.55 (define @t421 () (@list @t10 @t12 @t51 @t50 @t28 @t416)) % 206.23/206.55 (define @t422 () (not (= @t419 @t92))) % 206.23/206.55 (define @t423 () (not (= @t420 @t94))) % 206.23/206.55 (define @t424 () (or @t423 @t422)) % 206.23/206.55 (define @t425 () (and @t424 @t91)) % 206.23/206.55 (define @t426 () (or @t205 @t330 @t425)) % 206.23/206.55 (define @t427 () (forall @t421 @t426)) % 206.23/206.55 (define @t428 () (@list @t416)) % 206.23/206.55 (define @t429 () (forall @t428 @t426)) % 206.23/206.55 (define @t430 () (forall @t428 @t91)) % 206.23/206.55 (define @t431 () (forall @t428 @t424)) % 206.23/206.55 (define @t432 () (and @t431 @t430)) % 206.23/206.55 (define @t433 () (forall @t428 @t425)) % 206.23/206.55 (define @t434 () (or @t205 @t330 @t433)) % 206.23/206.55 (define @t435 () (forall @t63 (or (not @t95) (not @t93)))) % 206.23/206.55 (define @t436 () (and @t435 @t91)) % 206.23/206.55 (define @t437 () (or @t205 @t330 @t436)) % 206.23/206.55 (define @t438 () (forall @t63 (not @t96))) % 206.23/206.55 (define @t439 () (not @t438)) % 206.23/206.55 (define @t440 () (not @t401)) % 206.23/206.55 (define @t441 () (not @t400)) % 206.23/206.55 (define @t442 () (or @t441 @t440)) % 206.23/206.55 (define @t443 () (and @t442 (not (_ @t270 @t146 @t159 @t143)))) % 206.23/206.55 (define @t444 () (or @t208 @t346 @t443)) % 206.23/206.55 (define @t445 () (not @t402)) % 206.23/206.55 (define @t446 () (not @t399)) % 206.23/206.55 (define @t447 () (not @t398)) % 206.23/206.55 (define @t448 () (and @t398 @t401 @t356)) % 206.23/206.55 (define @t449 () (@list @t399)) % 206.23/206.55 (define @t450 () (not (= @t394 @t159))) % 206.23/206.55 (define @t451 () (and @t404 @t236 @t450 @t408)) % 206.23/206.55 (define @t452 () (tptp.sequential @t394 @t159)) % 206.23/206.55 (define @t453 () (= @t452 @t451)) % 206.23/206.55 (define @t454 () (= @t159 @t394)) % 206.23/206.55 (define @t455 () (not @t454)) % 206.23/206.55 (define @t456 () (and @t404 @t236 @t455 @t398)) % 206.23/206.55 (define @t457 () (= @t452 @t456)) % 206.23/206.55 (define @t458 () (and @t398 @t396 @t454)) % 206.23/206.55 (define @t459 () (not @t396)) % 206.23/206.55 (define @t460 () (@list false false false true)) % 206.23/206.55 (define @t461 () (tptp.triangle @t159 @t146 @t394)) % 206.23/206.55 (define @t462 () (not @t461)) % 206.23/206.55 (define @t463 () (tptp.sequential @t146 @t394)) % 206.23/206.55 (define @t464 () (and @t236 @t150 @t404 @t224 @t463 @t452)) % 206.23/206.55 (define @t465 () (= @t461 @t464)) % 206.23/206.55 (define @t466 () (not @t464)) % 206.23/206.55 (define @t467 () (not @t463)) % 206.23/206.55 (define @t468 () (= @t146 @t394)) % 206.23/206.55 (define @t469 () (not @t468)) % 206.23/206.55 (define @t470 () (and @t150 @t404 @t469 @t396)) % 206.23/206.55 (define @t471 () (= @t463 @t470)) % 206.23/206.55 (define @t472 () (not @t470)) % 206.23/206.55 (define @t473 () (and @t396 @t468)) % 206.23/206.55 (assume @p1 @t7) % 206.23/206.55 (assume @p2 @t9) % 206.23/206.55 (assume @p3 @t27) % 206.23/206.55 (assume @p4 (forall @t33 (=> (and @t22 @t21 (exists @t6 (and @t5 @t11 (or @t32 @t31)))) @t29))) % 206.23/206.55 (assume @p5 (forall @t33 (=> @t29 (and @t22 @t21 (exists @t6 (and @t5 @t11 (xor @t32 @t31))))))) % 206.23/206.55 (assume @p6 @t38) % 206.23/206.55 (assume @p7 @t49) % 206.23/206.55 (assume @p8 @t57) % 206.23/206.55 (assume @p9 @t73) % 206.23/206.55 (assume @p10 @t79) % 206.23/206.55 (assume @p11 @t90) % 206.23/206.55 (assume @p12 @t104) % 206.23/206.55 (assume @p13 (forall (@list @t51 @t50 @t59) (= @t105 (and @t54 @t53 (tptp.edge @t59) @t55 (tptp.sequential @t50 @t59) (tptp.sequential @t59 @t51))))) % 206.23/206.55 (assume @p14 (forall @t33 (=> @t29 (= @t80 (tptp.number_of_in tptp.edges @t28))))) % 206.23/206.55 (assume @p15 @t109) % 206.23/206.55 (assume @p16 @t118) % 206.23/206.55 (assume @p17 (forall (@list @t119 @t120) (tptp.less_or_equal (tptp.number_of_in @t119 @t120) (tptp.number_of_in @t119 tptp.graph)))) % 206.23/206.55 (assume @p18 @t124) % 206.23/206.55 (assume @p19 true) % 206.23/206.55 ; WARNING: add trust step for TRUST % 206.23/206.55 ; trust TRUST PREPROCESS_SORT_INFER % 206.23/206.55 (step @p20 :rule trust :premises () :args ((= (forall @t6 (or @t129 @t4)) @t130))) % 206.23/206.55 (step @p21 :rule bool-impl-elim :args (@t5 @t4)) % 206.23/206.55 (step @p22 :rule cong :premises (@p21) :args (@t7)) % 206.23/206.55 (step @p23 :rule trans :premises (@p22 @p20)) % 206.23/206.55 (step @p24 :rule eq_resolve :premises (@p1 @p23)) % 206.23/206.55 (step @p25 :rule eq-symm :args (@t147 @t148)) % 206.23/206.55 (step @p26 :rule cong :premises (@p25) :args (@t149)) % 206.23/206.55 (step @p27 :rule refl :args (@t151)) % 206.23/206.55 (step @p28 :rule nary_cong :premises (@p27 @p26) :args (@t152)) % 206.23/206.55 (step @p29 :rule refl :args (@t130)) % 206.23/206.55 (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t130 @t152))) % 206.23/206.55 (assume-push @p780 @t130) % 206.23/206.55 (step @p32 :rule instantiate :premises (@p24) :args (@t153)) % 206.23/206.55 (step-pop @p781 :rule scope :premises (@p32)) % 206.23/206.55 (step @p33 :rule process_scope :premises (@p781) :args (@t152)) % 206.23/206.55 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 206.23/206.55 (step @p36 :rule implies_elim :premises (@p35)) % 206.23/206.55 (step @p37 :rule chain_m_resolution :premises (@p36 @p24) :args (@t156 @t157 (@list @t130))) % 206.23/206.55 ; trust TRUST PREPROCESS_SORT_INFER % 206.23/206.55 (step @p38 :rule trust :premises () :args ((= @t57 @t158))) % 206.23/206.55 (step @p39 :rule eq_resolve :premises (@p8 @p38)) % 206.23/206.55 (step @p40 :rule instantiate :premises (@p39) :args ((@list @t159 @t146))) % 206.23/206.55 ; trust TRUST PREPROCESS_SORT_INFER % 206.23/206.55 (step @p41 :rule trust :premises () :args ((= (forall @t72 @t172) @t165))) % 206.23/206.55 (step @p42 :rule aci_norm :args ((= (or (or @t171 @t170) @t111) @t172))) % 206.23/206.55 (step @p43 :rule refl :args (@t111)) % 206.23/206.55 (step @p44 :rule bool-and-de-morgan :args (@t29 @t169 true)) % 206.23/206.55 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or (not @t173) @t111))) % 206.23/206.55 (step @p46 :rule trans :premises (@p45 @p42)) % 206.23/206.55 (step @p47 :rule bool-impl-elim :args (@t173 @t111)) % 206.23/206.55 (step @p48 :rule trans :premises (@p47 @p46)) % 206.23/206.55 (step @p49 :rule cong :premises (@p48) :args ((forall @t72 (=> @t173 @t111)))) % 206.23/206.55 (step @p50 :rule refl :args (@t111)) % 206.23/206.55 (step @p51 :rule aci_norm :args ((= (or @t174 @t131) @t168))) % 206.23/206.55 (step @p52 :rule refl :args (@t131)) % 206.23/206.55 (step @p53 :rule aci_norm :args ((= (or @t167 (or @t166 @t132)) @t174))) % 206.23/206.55 (step @p54 :rule bool-and-de-morgan :args (@t66 @t55 true)) % 206.23/206.55 (step @p55 :rule refl :args (@t167)) % 206.23/206.55 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t167 (not (and @t66 @t55))))) % 206.23/206.55 (step @p57 :rule bool-and-de-morgan :args (@t67 @t66 (and @t55))) % 206.23/206.55 (step @p58 :rule trans :premises (@p57 @p56)) % 206.23/206.55 (step @p59 :rule trans :premises (@p58 @p53)) % 206.23/206.55 (step @p60 :rule nary_cong :premises (@p59 @p52) :args ((or (not @t113) @t131))) % 206.23/206.55 (step @p61 :rule trans :premises (@p60 @p51)) % 206.23/206.55 (step @p62 :rule bool-impl-elim :args (@t113 @t131)) % 206.23/206.55 (step @p63 :rule trans :premises (@p62 @p61)) % 206.23/206.55 (step @p64 :rule cong :premises (@p63) :args ((forall @t56 (=> @t113 @t131)))) % 206.23/206.55 (step @p65 :rule exists-elim :args ((= @t112 @t131))) % 206.23/206.55 (step @p66 :rule refl :args (@t113)) % 206.23/206.55 (step @p67 :rule cong :premises (@p66 @p65) :args (@t114)) % 206.23/206.55 (step @p68 :rule cong :premises (@p67) :args (@t115)) % 206.23/206.55 (step @p69 :rule trans :premises (@p68 @p64)) % 206.23/206.55 (step @p70 :rule refl :args (@t29)) % 206.23/206.55 (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t116)) % 206.23/206.55 (step @p72 :rule cong :premises (@p71 @p50) :args (@t117)) % 206.23/206.55 (step @p73 :rule cong :premises (@p72) :args (@t118)) % 206.23/206.55 (step @p74 :rule trans :premises (@p73 @p49)) % 206.23/206.55 (step @p75 :rule trans :premises (@p74 @p41)) % 206.23/206.55 (step @p76 :rule eq_resolve :premises (@p16 @p75)) % 206.23/206.55 (step @p77 :rule eq-symm :args (@t175 @t176)) % 206.23/206.55 (step @p78 :rule refl :args (@t177)) % 206.23/206.55 (step @p79 :rule refl :args (@t181)) % 206.23/206.55 (step @p80 :rule nary_cong :premises (@p79 @p78 @p77) :args (@t182)) % 206.23/206.55 (step @p81 :rule refl :args (@t165)) % 206.23/206.55 (step @p82 :rule cong :premises (@p81 @p80) :args ((=> @t165 @t182))) % 206.23/206.55 (assume-push @p782 @t165) % 206.23/206.55 (step @p84 :rule instantiate :premises (@p76) :args ((@list @t143 @t179 @t178))) % 206.23/206.55 (step-pop @p783 :rule scope :premises (@p84)) % 206.23/206.55 (step @p85 :rule process_scope :premises (@p783) :args (@t182)) % 206.23/206.55 (step @p87 :rule eq_resolve :premises (@p85 @p82)) % 206.23/206.55 (step @p88 :rule implies_elim :premises (@p87)) % 206.23/206.55 (step @p89 :rule chain_m_resolution :premises (@p88 @p76) :args (@t184 @t157 (@list @t165))) % 206.23/206.55 ; trust TRUST PREPROCESS_SORT_INFER % 206.23/206.55 (step @p90 :rule trust :premises () :args ((= (forall @t33 (or @t171 @t108)) @t188))) % 206.23/206.55 (step @p91 :rule bool-impl-elim :args (@t29 @t108)) % 206.23/206.55 (step @p92 :rule cong :premises (@p91) :args (@t109)) % 206.23/206.55 (step @p93 :rule trans :premises (@p92 @p90)) % 206.23/206.55 (step @p94 :rule eq_resolve :premises (@p15 @p93)) % 206.23/206.55 (step @p95 :rule eq-symm :args (@t175 @t190)) % 206.23/206.55 (step @p96 :rule nary_cong :premises (@p79 @p95) :args (@t191)) % 206.23/206.55 (step @p97 :rule refl :args (@t188)) % 206.23/206.55 (step @p98 :rule cong :premises (@p97 @p96) :args ((=> @t188 @t191))) % 206.23/206.55 (assume-push @p784 @t188) % 206.23/206.55 (step @p100 :rule instantiate :premises (@p94) :args (@t192)) % 206.23/206.55 (step-pop @p785 :rule scope :premises (@p100)) % 206.23/206.55 (step @p101 :rule process_scope :premises (@p785) :args (@t191)) % 206.23/206.55 (step @p103 :rule eq_resolve :premises (@p101 @p98)) % 206.23/206.55 (step @p104 :rule implies_elim :premises (@p103)) % 206.23/206.55 (step @p105 :rule chain_m_resolution :premises (@p104 @p94) :args (@t194 @t157 (@list @t188))) % 206.23/206.55 ; trust TRUST PREPROCESS_SORT_INFER % 206.23/206.55 (step @p106 :rule trust :premises () :args ((= (forall @t89 (= @t87 (and @t85 @t20 (forall @t83 (or @t171 @t82))))) (forall (@list @t200 @t199 @t197) (= (_ @t141 @t200 @t199 @t197) (and (_ @t164 @t200 @t199 @t197) (not (= @t200 @t199)) (forall @t201 (or (not (_ @t164 @t200 @t199 @t195)) (_ @t198 (_ @t137 @t197) @t196))))))))) % 206.23/206.55 (step @p107 :rule bool-impl-elim :args (@t29 @t82)) % 206.23/206.55 (step @p108 :rule cong :premises (@p107) :args (@t84)) % 206.23/206.55 (step @p109 :rule refl :args (@t20)) % 206.23/206.55 (step @p110 :rule refl :args (@t85)) % 206.23/206.55 (step @p111 :rule nary_cong :premises (@p110 @p109 @p108) :args (@t86)) % 206.23/206.55 (step @p112 :rule refl :args (@t87)) % 206.23/206.55 (step @p113 :rule cong :premises (@p112 @p111) :args (@t88)) % 206.23/206.55 (step @p114 :rule cong :premises (@p113) :args (@t90)) % 206.23/206.55 (step @p115 :rule trans :premises (@p114 @p106)) % 206.23/206.55 (step @p116 :rule eq_resolve :premises (@p11 @p115)) % 206.23/206.55 (step @p117 :rule instantiate :premises (@p116) :args (@t192)) % 206.23/206.55 (step @p118 :rule bool-impl-true2 :args (@t142)) % 206.23/206.55 (step @p119 :rule cong :premises (@p118) :args ((not (=> true @t142)))) % 206.23/206.55 (step @p120 :rule refl :args (@t142)) % 206.23/206.55 (step @p121 :rule bool-eq-true :args (tptp.complete)) % 206.23/206.55 (step @p122 :rule symm :premises (@p121)) % 206.23/206.55 ; trust TRUST PREPROCESS_SORT_INFER % 206.23/206.55 (step @p123 :rule trust :premises () :args ((= (not (=> tptp.complete (forall @t72 (or @t205 @t204)))) @t203))) % 206.23/206.55 (step @p124 :rule bool-impl-elim :args (@t100 @t204)) % 206.23/206.55 (step @p125 :rule cong :premises (@p124) :args ((forall @t72 (=> @t100 @t204)))) % 206.23/206.55 (step @p126 :rule eq-symm :args (@t110 @t106)) % 206.23/206.55 (step @p127 :rule refl :args (@t100)) % 206.23/206.55 (step @p128 :rule cong :premises (@p127 @p126) :args (@t121)) % 206.23/206.55 (step @p129 :rule cong :premises (@p128) :args (@t122)) % 206.23/206.55 (step @p130 :rule trans :premises (@p129 @p125)) % 206.23/206.55 (step @p131 :rule refl :args (tptp.complete)) % 206.23/206.55 (step @p132 :rule cong :premises (@p131 @p130) :args (@t123)) % 206.23/206.55 (step @p133 :rule cong :premises (@p132) :args (@t124)) % 206.23/206.55 (step @p134 :rule trans :premises (@p133 @p123)) % 206.23/206.55 (step @p135 :rule eq_resolve :premises (@p18 @p134)) % 206.23/206.55 (step @p136 :rule not_implies_elim1 :premises (@p135)) % 206.23/206.55 (step @p137 :rule eq_resolve :premises (@p136 @p122)) % 206.23/206.55 (step @p138 :rule cong :premises (@p137 @p120) :args (@t202)) % 206.23/206.55 (step @p139 :rule cong :premises (@p138) :args (@t203)) % 206.23/206.55 (step @p140 :rule trans :premises (@p139 @p119)) % 206.23/206.55 (step @p141 :rule trans :premises (@p133 @p123 @p140)) % 206.23/206.55 (step @p142 :rule eq_resolve :premises (@p18 @p141)) % 206.23/206.55 (step @p143 :rule skolemize :premises (@p142)) % 206.23/206.55 (step @p144 :rule bool-double-not-elim :args (@t206)) % 206.23/206.55 (step @p145 :rule refl :args (@t209)) % 206.23/206.55 (step @p146 :rule nary_cong :premises (@p145 @p144) :args ((or @t209 (not @t208)))) % 206.23/206.55 (step @p147 :rule cnf_or_neg :args (@t209 0)) % 206.23/206.55 (step @p148 :rule eq_resolve :premises (@p147 @p146)) % 206.23/206.55 (step @p149 :rule reordering :premises (@p148) :args ((or @t206 @t209))) % 206.23/206.55 (step @p150 :rule chain_m_resolution :premises (@p149 @p143) :args (@t206 @t210 @t211)) % 206.23/206.55 (step @p151 :rule cnf_equiv_pos1 :args (@t213)) % 206.23/206.55 (step @p152 :rule reordering :premises (@p151) :args ((or @t208 @t212 (not @t213)))) % 206.23/206.55 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p117) :args (@t212 @t214 (@list @t206 @t213))) % 206.23/206.55 (step @p154 :rule cnf_and_pos :args (@t212 0)) % 206.23/206.55 (step @p155 :rule reordering :premises (@p154) :args ((or @t180 (not @t212)))) % 206.23/206.55 (step @p156 :rule chain_m_resolution :premises (@p155 @p153) :args (@t180 @t157 (@list @t212))) % 206.23/206.55 (step @p157 :rule cnf_or_pos :args (@t194)) % 206.23/206.55 (step @p158 :rule reordering :premises (@p157) :args ((or @t181 @t193 (not @t194)))) % 206.23/206.55 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p105) :args (@t193 @t214 (@list @t180 @t194))) % 206.23/206.55 (step @p160 :rule cnf_or_neg :args (@t209 1)) % 206.23/206.55 (step @p161 :rule chain_m_resolution :premises (@p160 @p143) :args (@t215 @t210 @t211)) % 206.23/206.55 (step @p162 :rule refl :args (@t216)) % 206.23/206.55 (step @p163 :rule refl :args (@t217)) % 206.23/206.55 (step @p164 :rule bool-double-not-elim :args (@t207)) % 206.23/206.55 (step @p165 :rule nary_cong :premises (@p164 @p163 @p162) :args ((or (not @t215) @t217 @t216))) % 206.23/206.55 (assume-push @p786 @t193) % 206.23/206.55 (assume-push @p787 @t183) % 206.23/206.55 (assume-push @p788 @t215) % 206.23/206.55 (step @p169 :rule evaluate :args (@t218)) % 206.23/206.55 (step @p170 :rule symm :premises (@p787)) % 206.23/206.55 (step @p171 :rule trans :premises (@p159 @p170)) % 206.23/206.55 (step @p172 :rule true_intro :premises (@p171)) % 206.23/206.55 (step @p173 :rule false_intro :premises (@p161)) % 206.23/206.55 (step @p174 :rule symm :premises (@p173)) % 206.23/206.55 (step @p175 :rule trans :premises (@p174 @p172)) % 206.23/206.55 (step @p176 false :rule eq_resolve :premises (@p175 @p169)) % 206.23/206.55 (step-pop @p789 :rule scope :premises (@p176)) % 206.23/206.55 (step-pop @p790 :rule scope :premises (@p789)) % 206.23/206.55 (step-pop @p791 :rule scope :premises (@p790)) % 206.23/206.55 (step @p177 :rule process_scope :premises (@p791) :args (false)) % 206.23/206.55 (assume-push @p792 @t215) % 206.23/206.55 (assume-push @p793 @t193) % 206.23/206.55 (assume-push @p794 @t183) % 206.23/206.55 (step @p184 :rule and_intro :premises (@p159 @p794 @p161)) % 206.23/206.55 (step-pop @p795 :rule scope :premises (@p184)) % 206.23/206.55 (step-pop @p796 :rule scope :premises (@p795)) % 206.23/206.55 (step-pop @p797 :rule scope :premises (@p796)) % 206.23/206.55 (step @p185 :rule process_scope :premises (@p797) :args (@t219)) % 206.23/206.55 (step @p189 :rule implies_elim :premises (@p185)) % 206.23/206.55 (step @p190 :rule resolution :premises (@p189 @p177) :args (true @t219)) % 206.23/206.55 (step @p191 :rule not_and :premises (@p190)) % 206.23/206.55 (step @p192 :rule eq_resolve :premises (@p191 @p165)) % 206.23/206.55 (step @p193 :rule chain_m_resolution :premises (@p192 @p161 @p159) :args (@t216 @t220 (@list @t207 @t193))) % 206.23/206.55 (step @p194 :rule cnf_or_pos :args (@t184)) % 206.23/206.55 (step @p195 :rule reordering :premises (@p194) :args ((or @t181 @t177 @t183 (not @t184)))) % 206.23/206.55 (step @p196 :rule chain_m_resolution :premises (@p195 @p156 @p193 @p89) :args (@t177 @t221 (@list @t180 @t183 @t184))) % 206.23/206.55 (step @p197 :rule refl :args (@t231)) % 206.23/206.55 (step @p198 :rule bool-double-not-elim :args (@t145)) % 206.23/206.55 (step @p199 :rule nary_cong :premises (@p198 @p197) :args ((or (not @t177) @t231))) % 206.23/206.55 (assume-push @p798 @t177) % 206.23/206.55 (step @p201 :rule skolemize :premises (@p798)) % 206.23/206.55 (step-pop @p799 :rule scope :premises (@p201)) % 206.23/206.55 (step @p202 :rule process_scope :premises (@p799) :args (@t231)) % 206.23/206.55 (step @p204 :rule implies_elim :premises (@p202)) % 206.23/206.55 (step @p205 :rule eq_resolve :premises (@p204 @p199)) % 206.23/206.55 (step @p206 :rule chain_m_resolution :premises (@p205 @p196) :args (@t231 @t210 (@list @t145))) % 206.23/206.55 (step @p207 :rule bool-double-not-elim :args (@t224)) % 206.23/206.55 (step @p208 :rule refl :args (@t230)) % 206.23/206.55 (step @p209 :rule nary_cong :premises (@p208 @p207) :args ((or @t230 (not @t225)))) % 206.23/206.55 (step @p210 :rule cnf_or_neg :args (@t230 2)) % 206.23/206.55 (step @p211 :rule eq_resolve :premises (@p210 @p209)) % 206.23/206.55 (step @p212 :rule reordering :premises (@p211) :args ((or @t224 @t230))) % 206.23/206.55 (step @p213 :rule chain_m_resolution :premises (@p212 @p206) :args (@t224 @t210 @t232)) % 206.23/206.55 (step @p214 :rule cnf_equiv_pos1 :args (@t238)) % 206.23/206.55 (step @p215 :rule reordering :premises (@p214) :args ((or @t225 @t237 (not @t238)))) % 206.23/206.55 (step @p216 :rule chain_m_resolution :premises (@p215 @p213 @p40) :args (@t237 @t214 (@list @t224 @t238))) % 206.23/206.55 (step @p217 :rule cnf_and_pos :args (@t237 1)) % 206.23/206.55 (step @p218 :rule reordering :premises (@p217) :args ((or @t150 @t239))) % 206.23/206.55 (step @p219 :rule chain_m_resolution :premises (@p218 @p216) :args (@t150 @t157 @t240)) % 206.23/206.55 (step @p220 :rule cnf_or_pos :args (@t156)) % 206.23/206.55 (step @p221 :rule reordering :premises (@p220) :args ((or @t151 @t155 (not @t156)))) % 206.23/206.55 (step @p222 :rule chain_m_resolution :premises (@p221 @p219 @p37) :args (@t155 @t214 (@list @t150 @t156))) % 206.23/206.55 (step @p223 :rule bool-impl-true2 :args (@t244)) % 206.23/206.55 (step @p224 :rule refl :args (@t244)) % 206.23/206.55 (step @p225 :rule cong :premises (@p137 @p224) :args (@t245)) % 206.23/206.55 (step @p226 :rule trans :premises (@p225 @p223)) % 206.23/206.55 ; trust TRUST PREPROCESS_SORT_INFER % 206.23/206.55 (step @p227 :rule trust :premises () :args ((= (=> tptp.complete (forall @t25 @t251)) @t245))) % 206.23/206.55 (step @p228 :rule aci_norm :args ((= (or (or @t250 @t249 @t19) @t248) @t251))) % 206.23/206.55 (step @p229 :rule refl :args (@t248)) % 206.23/206.55 (step @p230 :rule bool-double-not-elim :args (@t19)) % 206.23/206.55 (step @p231 :rule refl :args (@t249)) % 206.23/206.55 (step @p232 :rule refl :args (@t250)) % 206.23/206.55 (step @p233 :rule nary_cong :premises (@p232 @p231 @p230) :args (@t253)) % 206.23/206.55 (step @p234 :rule aci_norm :args ((= (or @t250 (or @t249 @t252)) @t253))) % 206.23/206.55 (step @p235 :rule trans :premises (@p234 @p233)) % 206.23/206.55 (step @p236 :rule bool-and-de-morgan :args (@t21 @t20 true)) % 206.23/206.55 (step @p237 :rule nary_cong :premises (@p232 @p236) :args ((or @t250 (not (and @t21 @t20))))) % 206.23/206.55 (step @p238 :rule bool-and-de-morgan :args (@t22 @t21 (and @t20))) % 206.23/206.55 (step @p239 :rule trans :premises (@p238 @p237)) % 206.23/206.55 (step @p240 :rule trans :premises (@p239 @p235)) % 206.23/206.55 (step @p241 :rule nary_cong :premises (@p240 @p229) :args ((or (not @t23) @t248))) % 206.23/206.55 (step @p242 :rule trans :premises (@p241 @p228)) % 206.23/206.55 (step @p243 :rule bool-impl-elim :args (@t23 @t248)) % 206.23/206.55 (step @p244 :rule trans :premises (@p243 @p242)) % 206.23/206.55 (step @p245 :rule cong :premises (@p244) :args ((forall @t25 (=> @t23 @t248)))) % 206.23/206.55 (step @p246 :rule bool-not-xor-elim :args (@t247 @t246)) % 206.23/206.55 (step @p247 :rule refl :args (@t129)) % 206.23/206.55 (step @p248 :rule nary_cong :premises (@p247 @p246) :args ((or @t129 (not @t254)))) % 206.23/206.55 (step @p249 :rule bool-and-de-morgan :args (@t5 @t254 true)) % 206.23/206.55 (step @p250 :rule trans :premises (@p249 @p248)) % 206.23/206.55 (step @p251 :rule cong :premises (@p250) :args (@t256)) % 206.23/206.55 (step @p252 :rule cong :premises (@p251) :args (@t257)) % 206.23/206.55 (step @p253 :rule exists-elim :args ((= (exists @t6 @t255) @t257))) % 206.23/206.55 (step @p254 :rule trans :premises (@p253 @p252)) % 206.23/206.55 (step @p255 :rule eq-symm :args (@t10 @t2)) % 206.23/206.55 (step @p256 :rule eq-symm :args (@t12 @t3)) % 206.23/206.55 (step @p257 :rule nary_cong :premises (@p256 @p255) :args (@t14)) % 206.23/206.55 (step @p258 :rule eq-symm :args (@t12 @t2)) % 206.23/206.55 (step @p259 :rule eq-symm :args (@t10 @t3)) % 206.23/206.55 (step @p260 :rule nary_cong :premises (@p259 @p258) :args (@t15)) % 206.23/206.55 (step @p261 :rule cong :premises (@p260 @p257) :args (@t16)) % 206.23/206.55 (step @p262 :rule refl :args (@t5)) % 206.23/206.55 (step @p263 :rule nary_cong :premises (@p262 @p261) :args (@t17)) % 206.23/206.55 (step @p264 :rule cong :premises (@p263) :args (@t18)) % 206.23/206.55 (step @p265 :rule trans :premises (@p264 @p254)) % 206.23/206.55 (step @p266 :rule refl :args (@t23)) % 206.23/206.55 (step @p267 :rule cong :premises (@p266 @p265) :args (@t24)) % 206.23/206.55 (step @p268 :rule cong :premises (@p267) :args (@t26)) % 206.23/206.55 (step @p269 :rule trans :premises (@p268 @p245)) % 206.23/206.55 (step @p270 :rule cong :premises (@p131 @p269) :args (@t27)) % 206.23/206.55 (step @p271 :rule trans :premises (@p270 @p227 @p226)) % 206.23/206.55 (step @p272 :rule eq_resolve :premises (@p3 @p271)) % 206.23/206.55 (step @p273 :rule instantiate :premises (@p272) :args ((@list @t147 @t258))) % 206.23/206.55 (step @p274 :rule refl :args (@t259)) % 206.23/206.55 (step @p275 :rule eq-symm :args (@t146 @t159)) % 206.23/206.55 (step @p276 :rule cong :premises (@p275) :args (@t260)) % 206.23/206.55 (step @p277 :rule refl :args (@t236)) % 206.23/206.55 (step @p278 :rule refl :args (@t150)) % 206.23/206.55 (step @p279 :rule nary_cong :premises (@p278 @p277 @p276 @p274) :args (@t261)) % 206.23/206.55 (step @p280 :rule refl :args (@t262)) % 206.23/206.55 (step @p281 :rule cong :premises (@p280 @p279) :args (@t263)) % 206.23/206.55 (step @p282 :rule refl :args (@t158)) % 206.23/206.55 (step @p283 :rule cong :premises (@p282 @p281) :args ((=> @t158 @t263))) % 206.23/206.55 (assume-push @p800 @t158) % 206.23/206.55 (step @p285 :rule instantiate :premises (@p39) :args ((@list @t146 @t159))) % 206.23/206.55 (step-pop @p801 :rule scope :premises (@p285)) % 206.23/206.55 (step @p286 :rule process_scope :premises (@p801) :args (@t263)) % 206.23/206.55 (step @p288 :rule eq_resolve :premises (@p286 @p283)) % 206.23/206.55 (step @p289 :rule implies_elim :premises (@p288)) % 206.23/206.55 (step @p290 :rule chain_m_resolution :premises (@p289 @p39) :args (@t265 @t157 @t266)) % 206.23/206.55 ; trust TRUST PREPROCESS_SORT_INFER % 206.23/206.55 (step @p291 :rule trust :premises () :args ((= (forall @t281 @t280) (forall (@list @t267 @t275 @t274 @t269 @t268 @t271) (or (not (_ @t164 @t275 @t274 @t267)) (not (_ @t144 @t269 @t267)) (not (_ @t144 @t268 @t267)) (and @t273 (or @t272 (not (_ @t270 @t271 @t268 @t267)))) (_ @t270 @t269 @t268 @t267)))))) % 206.23/206.55 (step @p292 :rule aci_norm :args ((= @t283 @t280))) % 206.23/206.55 (step @p293 :rule cong :premises (@p292) :args (@t284)) % 206.23/206.55 (step @p294 :rule quant-merge-prenex :args ((= (forall @t72 @t286) @t284))) % 206.23/206.55 (step @p295 :rule alpha_equiv :args (@t287 (@list @t269 @t268 @t271) (@list @t51 @t50 @t288))) % 206.23/206.55 (step @p296 :rule refl :args (@t171)) % 206.23/206.55 (step @p297 :rule nary_cong :premises (@p296 @p295) :args (@t289)) % 206.23/206.55 (step @p298 :rule quant-miniscope-or :args ((= @t286 @t289))) % 206.23/206.55 (step @p299 :rule trans :premises (@p298 @p297)) % 206.23/206.55 (step @p300 :rule symm :premises (@p299)) % 206.23/206.55 (step @p301 :rule cong :premises (@p300) :args ((forall @t72 (or @t171 @t293)))) % 206.23/206.55 (step @p302 :rule trans :premises (@p301 @p294)) % 206.23/206.55 (step @p303 :rule trans :premises (@p302 @p293)) % 206.23/206.55 (step @p304 :rule bool-impl-elim :args (@t29 @t293)) % 206.23/206.55 (step @p305 :rule cong :premises (@p304) :args ((forall @t72 (=> @t29 @t293)))) % 206.23/206.55 (step @p306 :rule trans :premises (@p305 @p303)) % 206.23/206.55 (step @p307 :rule quant-merge-prenex :args ((= (forall @t56 @t295) @t293))) % 206.23/206.55 (step @p308 :rule refl :args (@t58)) % 206.23/206.55 (step @p309 :rule alpha_equiv :args (@t296 (@list @t288) @t297)) % 206.23/206.55 (step @p310 :rule quant-unused-vars :args ((= @t298 @t132))) % 206.23/206.55 (step @p311 :rule nary_cong :premises (@p310 @p309) :args (@t299)) % 206.23/206.55 (step @p312 :rule quant-miniscope-and :args ((= @t300 @t299))) % 206.23/206.55 (step @p313 :rule trans :premises (@p312 @p311)) % 206.23/206.55 (step @p314 :rule refl :args (@t166)) % 206.23/206.55 (step @p315 :rule nary_cong :premises (@p55 @p314 @p313 @p308) :args (@t301)) % 206.23/206.55 (step @p316 :rule quant-miniscope-or :args ((= @t295 @t301))) % 206.23/206.55 (step @p317 :rule trans :premises (@p316 @p315)) % 206.23/206.55 (step @p318 :rule symm :premises (@p317)) % 206.23/206.55 (step @p319 :rule cong :premises (@p318) :args ((forall @t56 @t304))) % 206.23/206.55 (step @p320 :rule trans :premises (@p319 @p307)) % 206.23/206.55 (step @p321 :rule aci_norm :args ((= (or (or @t167 @t166 @t303) @t58) @t304))) % 206.23/206.55 (step @p322 :rule bool-double-not-elim :args (@t302)) % 206.23/206.55 (step @p323 :rule refl :args (@t132)) % 206.23/206.55 (step @p324 :rule nary_cong :premises (@p323 @p322) :args ((and @t132 (not @t305)))) % 206.23/206.55 (step @p325 :rule bool-or-de-morgan :args (@t55 @t305 false)) % 206.23/206.55 (step @p326 :rule trans :premises (@p325 @p324)) % 206.23/206.55 (step @p327 :rule nary_cong :premises (@p55 @p314 @p326) :args (@t308)) % 206.23/206.55 (step @p328 :rule aci_norm :args ((= (or @t167 (or @t166 @t307)) @t308))) % 206.23/206.55 (step @p329 :rule bool-and-de-morgan :args (@t66 @t306 true)) % 206.23/206.55 (step @p330 :rule nary_cong :premises (@p55 @p329) :args ((or @t167 (not (and @t66 @t306))))) % 206.23/206.55 (step @p331 :rule bool-and-de-morgan :args (@t67 @t66 (and @t306))) % 206.23/206.55 (step @p332 :rule trans :premises (@p331 @p330)) % 206.23/206.55 (step @p333 :rule trans :premises (@p332 @p328)) % 206.23/206.55 (step @p334 :rule trans :premises (@p333 @p327)) % 206.23/206.55 (step @p335 :rule nary_cong :premises (@p334 @p308) :args ((or (not @t309) @t58))) % 206.23/206.55 (step @p336 :rule trans :premises (@p335 @p321)) % 206.23/206.55 (step @p337 :rule bool-impl-elim :args (@t309 @t58)) % 206.23/206.55 (step @p338 :rule trans :premises (@p337 @p336)) % 206.23/206.55 (step @p339 :rule cong :premises (@p338) :args ((forall @t56 (=> @t309 @t58)))) % 206.23/206.55 (step @p340 :rule trans :premises (@p339 @p320)) % 206.23/206.55 (step @p341 :rule refl :args (@t58)) % 206.23/206.55 (step @p342 :rule bool-and-de-morgan :args (@t61 @t60 true)) % 206.23/206.55 (step @p343 :rule cong :premises (@p342) :args (@t310)) % 206.23/206.55 (step @p344 :rule cong :premises (@p343) :args (@t311)) % 206.23/206.55 (step @p345 :rule exists-elim :args ((= @t64 @t311))) % 206.23/206.55 (step @p346 :rule trans :premises (@p345 @p344)) % 206.23/206.55 (step @p347 :rule refl :args (@t55)) % 206.23/206.55 (step @p348 :rule nary_cong :premises (@p347 @p346) :args (@t65)) % 206.23/206.55 (step @p349 :rule refl :args (@t66)) % 206.23/206.55 (step @p350 :rule refl :args (@t67)) % 206.23/206.55 (step @p351 :rule nary_cong :premises (@p350 @p349 @p348) :args (@t68)) % 206.23/206.55 (step @p352 :rule cong :premises (@p351 @p341) :args (@t69)) % 206.23/206.55 (step @p353 :rule cong :premises (@p352) :args (@t70)) % 206.23/206.55 (step @p354 :rule trans :premises (@p353 @p340)) % 206.23/206.55 (step @p355 :rule cong :premises (@p70 @p354) :args (@t71)) % 206.23/206.55 (step @p356 :rule cong :premises (@p355) :args (@t73)) % 206.23/206.55 (step @p357 :rule trans :premises (@p356 @p306)) % 206.23/206.55 (step @p358 :rule trans :premises (@p357 @p291)) % 206.23/206.55 (step @p359 :rule eq_resolve :premises (@p9 @p358)) % 206.23/206.55 (step @p360 :rule instantiate :premises (@p359) :args ((@list @t143 @t179 @t178 @t146 @t146 @t159))) % 206.23/206.55 ; trust TRUST PREPROCESS_SORT_INFER % 206.23/206.55 (step @p361 :rule trust :premises () :args ((= (forall @t322 @t321) (forall (@list @t312 @t318 @t317 @t314 @t313) (or (not (_ @t164 @t318 @t317 @t312)) (not (_ @t270 @t314 @t313 @t312)) (and (_ @t144 @t314 @t312) (_ @t144 @t313 @t312) (= @t316 (not (forall @t63 (or @t315 (not (_ @t270 @t59 @t313 @t312)))))))))))) % 206.23/206.55 (step @p362 :rule aci_norm :args ((= @t324 @t321))) % 206.23/206.55 (step @p363 :rule cong :premises (@p362) :args (@t325)) % 206.23/206.55 (step @p364 :rule quant-merge-prenex :args ((= (forall @t72 @t327) @t325))) % 206.23/206.55 (step @p365 :rule alpha_equiv :args (@t328 (@list @t314 @t313) (@list @t51 @t50))) % 206.23/206.55 (step @p366 :rule nary_cong :premises (@p296 @p365) :args (@t329)) % 206.23/206.55 (step @p367 :rule quant-miniscope-or :args ((= @t327 @t329))) % 206.23/206.55 (step @p368 :rule trans :premises (@p367 @p366)) % 206.23/206.55 (step @p369 :rule symm :premises (@p368)) % 206.23/206.55 (step @p370 :rule cong :premises (@p369) :args ((forall @t72 (or @t171 @t331)))) % 206.23/206.55 (step @p371 :rule trans :premises (@p370 @p364)) % 206.23/206.55 (step @p372 :rule trans :premises (@p371 @p363)) % 206.23/206.55 (step @p373 :rule bool-impl-elim :args (@t29 @t331)) % 206.23/206.55 (step @p374 :rule cong :premises (@p373) :args ((forall @t72 (=> @t29 @t331)))) % 206.23/206.55 (step @p375 :rule trans :premises (@p374 @p372)) % 206.23/206.55 (step @p376 :rule eq-symm :args (@t132 @t305)) % 206.23/206.55 (step @p377 :rule nary_cong :premises (@p350 @p349 @p376) :args (@t332)) % 206.23/206.55 (step @p378 :rule refl :args (@t330)) % 206.23/206.55 (step @p379 :rule nary_cong :premises (@p378 @p377) :args (@t333)) % 206.23/206.55 (step @p380 :rule cong :premises (@p379) :args ((forall @t56 @t333))) % 206.23/206.55 (step @p381 :rule bool-xor-elim :args (@t55 @t305)) % 206.23/206.55 (step @p382 :rule refl :args (@t66)) % 206.23/206.55 (step @p383 :rule refl :args (@t67)) % 206.23/206.55 (step @p384 :rule nary_cong :premises (@p383 @p382 @p381) :args (@t334)) % 206.23/206.55 (step @p385 :rule refl :args (@t330)) % 206.23/206.55 (step @p386 :rule nary_cong :premises (@p385 @p384) :args ((or @t330 @t334))) % 206.23/206.55 (step @p387 :rule bool-impl-elim :args (@t58 @t334)) % 206.23/206.55 (step @p388 :rule trans :premises (@p387 @p386)) % 206.23/206.55 (step @p389 :rule cong :premises (@p388) :args ((forall @t56 (=> @t58 @t334)))) % 206.23/206.55 (step @p390 :rule trans :premises (@p389 @p380)) % 206.23/206.55 (step @p391 :rule cong :premises (@p347 @p346) :args (@t74)) % 206.23/206.55 (step @p392 :rule nary_cong :premises (@p350 @p349 @p391) :args (@t75)) % 206.23/206.55 (step @p393 :rule cong :premises (@p341 @p392) :args (@t76)) % 206.23/206.55 (step @p394 :rule cong :premises (@p393) :args (@t77)) % 206.23/206.55 (step @p395 :rule trans :premises (@p394 @p390)) % 206.23/206.55 (step @p396 :rule cong :premises (@p70 @p395) :args (@t78)) % 206.23/206.55 (step @p397 :rule cong :premises (@p396) :args (@t79)) % 206.23/206.55 (step @p398 :rule trans :premises (@p397 @p375)) % 206.23/206.55 (step @p399 :rule trans :premises (@p398 @p361)) % 206.23/206.55 (step @p400 :rule eq_resolve :premises (@p10 @p399)) % 206.23/206.55 (step @p401 :rule instantiate :premises (@p400) :args ((@list @t143 @t179 @t178 @t159 @t146))) % 206.23/206.55 (step @p402 :rule instantiate :premises (@p359) :args ((@list @t143 @t179 @t178 @t159 @t146 @t146))) % 206.23/206.55 (step @p403 :rule cnf_and_pos :args (@t338 0)) % 206.23/206.55 (step @p404 :rule reordering :premises (@p403) :args ((or @t225 @t339))) % 206.23/206.55 (step @p405 :rule chain_m_resolution :premises (@p404 @p213) :args (@t339 @t157 (@list @t224))) % 206.23/206.55 (step @p406 :rule bool-double-not-elim :args (@t226)) % 206.23/206.55 (step @p407 :rule nary_cong :premises (@p208 @p406) :args ((or @t230 (not @t227)))) % 206.23/206.55 (step @p408 :rule cnf_or_neg :args (@t230 1)) % 206.23/206.55 (step @p409 :rule eq_resolve :premises (@p408 @p407)) % 206.23/206.55 (step @p410 :rule reordering :premises (@p409) :args ((or @t226 @t230))) % 206.23/206.55 (step @p411 :rule chain_m_resolution :premises (@p410 @p206) :args (@t226 @t210 @t232)) % 206.23/206.55 (step @p412 :rule bool-double-not-elim :args (@t228)) % 206.23/206.55 (step @p413 :rule nary_cong :premises (@p208 @p412) :args ((or @t230 (not @t229)))) % 206.23/206.55 (step @p414 :rule cnf_or_neg :args (@t230 0)) % 206.23/206.55 (step @p415 :rule eq_resolve :premises (@p414 @p413)) % 206.23/206.55 (step @p416 :rule reordering :premises (@p415) :args ((or @t228 @t230))) % 206.23/206.55 (step @p417 :rule chain_m_resolution :premises (@p416 @p206) :args (@t228 @t210 @t232)) % 206.23/206.55 (step @p418 :rule cnf_or_pos :args (@t341)) % 206.23/206.55 (step @p419 :rule reordering :premises (@p418) :args ((or @t181 @t229 @t227 @t338 @t340 (not @t341)))) % 206.23/206.55 (step @p420 :rule chain_m_resolution :premises (@p419 @p156 @p417 @p411 @p405 @p402) :args (@t340 (@list false false false true false) (@list @t180 @t228 @t226 @t338 @t341))) % 206.23/206.55 (step @p421 :rule cnf_or_pos :args (@t347)) % 206.23/206.55 (step @p422 :rule reordering :premises (@p421) :args ((or @t181 @t346 @t345 (not @t347)))) % 206.23/206.55 (step @p423 :rule chain_m_resolution :premises (@p422 @p156 @p420 @p401) :args (@t345 @t348 (@list @t180 @t340 @t347))) % 206.23/206.55 (step @p424 :rule cnf_and_pos :args (@t345 2)) % 206.23/206.55 (step @p425 :rule reordering :premises (@p424) :args ((or @t344 (not @t345)))) % 206.23/206.55 (step @p426 :rule chain_m_resolution :premises (@p425 @p423) :args (@t344 @t157 (@list @t345))) % 206.23/206.55 (step @p427 :rule bool-double-not-elim :args (@t342)) % 206.23/206.55 (step @p428 :rule refl :args (@t225)) % 206.23/206.55 (step @p429 :rule refl :args (@t349)) % 206.23/206.55 (step @p430 :rule nary_cong :premises (@p429 @p428 @p427) :args ((or @t349 @t225 (not @t343)))) % 206.23/206.55 (step @p431 :rule cnf_equiv_pos2 :args (@t344)) % 206.23/206.55 (step @p432 :rule eq_resolve :premises (@p431 @p430)) % 206.23/206.55 (step @p433 :rule reordering :premises (@p432) :args ((or @t225 @t342 @t349))) % 206.23/206.55 (step @p434 :rule chain_m_resolution :premises (@p433 @p213 @p426) :args (@t342 @t214 (@list @t224 @t344))) % 206.23/206.55 (assume-push @p802 @t342) % 206.23/206.55 (step @p436 :rule instantiate :premises (@p802) :args (@t153)) % 206.23/206.55 (step-pop @p803 :rule scope :premises (@p436)) % 206.23/206.55 (step @p437 :rule process_scope :premises (@p803) :args (@t337)) % 206.23/206.55 (step @p439 :rule implies_elim :premises (@p437)) % 206.23/206.55 (step @p440 :rule reordering :premises (@p439) :args ((or @t337 @t343))) % 206.23/206.55 (step @p441 :rule chain_m_resolution :premises (@p440 @p434) :args (@t337 @t157 (@list @t342))) % 206.23/206.55 (step @p442 :rule cnf_or_pos :args (@t337)) % 206.23/206.55 (step @p443 :rule reordering :premises (@p442) :args ((or @t225 @t336 (not @t337)))) % 206.23/206.55 (step @p444 :rule chain_m_resolution :premises (@p443 @p213 @p441) :args (@t336 @t214 (@list @t224 @t337))) % 206.23/206.55 (step @p445 :rule cnf_or_pos :args (@t353)) % 206.23/206.55 (step @p446 :rule factoring :premises (@p445)) % 206.23/206.55 (step @p447 :rule reordering :premises (@p446) :args ((or @t181 @t227 @t335 @t352 (not @t353)))) % 206.23/206.55 (step @p448 :rule chain_m_resolution :premises (@p447 @p156 @p411 @p444 @p360) :args (@t352 @t354 (@list @t180 @t226 @t335 @t353))) % 206.23/206.55 (step @p449 :rule cnf_and_pos :args (@t352 1)) % 206.23/206.55 (step @p450 :rule reordering :premises (@p449) :args ((or @t351 (not @t352)))) % 206.23/206.55 (step @p451 :rule chain_m_resolution :premises (@p450 @p448) :args (@t351 @t157 (@list @t352))) % 206.23/206.55 (step @p452 :rule cnf_or_pos :args (@t351)) % 206.23/206.55 (step @p453 :rule reordering :premises (@p452) :args ((or @t346 @t350 (not @t351)))) % 206.23/206.55 (step @p454 :rule chain_m_resolution :premises (@p453 @p420 @p451) :args (@t350 @t214 (@list @t340 @t351))) % 206.23/206.55 (step @p455 :rule cnf_equiv_pos2 :args (@t265)) % 206.23/206.55 (step @p456 :rule reordering :premises (@p455) :args ((or @t262 @t355 (not @t265)))) % 206.23/206.55 (step @p457 :rule chain_m_resolution :premises (@p456 @p454 @p290) :args (@t355 @t220 (@list @t262 @t265))) % 206.23/206.55 (step @p458 :rule cnf_and_pos :args (@t237 0)) % 206.23/206.55 (step @p459 :rule reordering :premises (@p458) :args ((or @t236 @t239))) % 206.23/206.55 (step @p460 :rule chain_m_resolution :premises (@p459 @p216) :args (@t236 @t157 @t240)) % 206.23/206.55 (step @p461 :rule cnf_and_pos :args (@t237 2)) % 206.23/206.55 (step @p462 :rule reordering :premises (@p461) :args ((or @t235 @t239))) % 206.23/206.55 (step @p463 :rule chain_m_resolution :premises (@p462 @p216) :args (@t235 @t157 @t240)) % 206.23/206.55 (step @p464 :rule refl :args (@t356)) % 206.23/206.55 (step @p465 :rule bool-double-not-elim :args (@t234)) % 206.23/206.55 (step @p466 :rule refl :args (@t357)) % 206.23/206.55 (step @p467 :rule refl :args (@t264)) % 206.23/206.55 (step @p468 :rule nary_cong :premises (@p467 @p27 @p466 @p465 @p464) :args ((or @t264 @t151 @t357 (not @t235) @t356))) % 206.23/206.55 (step @p469 :rule cnf_and_neg :args (@t264)) % 206.23/206.55 (step @p470 :rule eq_resolve :premises (@p469 @p468)) % 206.23/206.55 (step @p471 :rule reordering :premises (@p470) :args ((or @t234 @t357 @t151 @t264 @t356))) % 206.23/206.55 (step @p472 :rule chain_m_resolution :premises (@p471 @p463 @p460 @p219 @p457) :args (@t356 (@list true false false true) (@list @t234 @t236 @t150 @t264))) % 206.23/206.55 ; trust TRUST PREPROCESS_SORT_INFER % 206.23/206.55 (step @p473 :rule trust :premises () :args ((= (forall @t48 @t368) (forall (@list @t362 @t361 @t359 @t358) (or (not (_ @t164 @t362 @t361 @t359)) (not (_ @t360 @t358 @t359)) (and (_ @t243 @t358) (not (forall @t6 (or (not (_ @t144 @t1 @t359)) (and (not (= @t128 @t358)) (not (= @t126 @t358)))))))))))) % 206.23/206.55 (step @p474 :rule aci_norm :args ((= (or (or @t171 @t367) @t366) @t368))) % 206.23/206.55 (step @p475 :rule refl :args (@t366)) % 206.23/206.55 (step @p476 :rule bool-and-de-morgan :args (@t29 @t45 true)) % 206.23/206.55 (step @p477 :rule nary_cong :premises (@p476 @p475) :args ((or (not @t46) @t366))) % 206.23/206.55 (step @p478 :rule trans :premises (@p477 @p474)) % 206.23/206.55 (step @p479 :rule bool-impl-elim :args (@t46 @t366)) % 206.23/206.55 (step @p480 :rule trans :premises (@p479 @p478)) % 206.23/206.55 (step @p481 :rule cong :premises (@p480) :args ((forall @t48 (=> @t46 @t366)))) % 206.23/206.55 (step @p482 :rule bool-or-de-morgan :args (@t364 @t363 false)) % 206.23/206.55 (step @p483 :rule refl :args (@t365)) % 206.23/206.55 (step @p484 :rule nary_cong :premises (@p483 @p482) :args ((or @t365 (not @t369)))) % 206.23/206.55 (step @p485 :rule bool-and-de-morgan :args (@t35 @t369 true)) % 206.23/206.55 (step @p486 :rule trans :premises (@p485 @p484)) % 206.23/206.55 (step @p487 :rule cong :premises (@p486) :args (@t371)) % 206.23/206.55 (step @p488 :rule cong :premises (@p487) :args (@t372)) % 206.23/206.55 (step @p489 :rule exists-elim :args ((= (exists @t6 @t370) @t372))) % 206.23/206.55 (step @p490 :rule trans :premises (@p489 @p488)) % 206.23/206.55 (step @p491 :rule eq-symm :args (@t39 @t2)) % 206.23/206.55 (step @p492 :rule eq-symm :args (@t39 @t3)) % 206.23/206.55 (step @p493 :rule nary_cong :premises (@p492 @p491) :args (@t40)) % 206.23/206.55 (step @p494 :rule refl :args (@t35)) % 206.23/206.55 (step @p495 :rule nary_cong :premises (@p494 @p493) :args (@t41)) % 206.23/206.55 (step @p496 :rule cong :premises (@p495) :args (@t42)) % 206.23/206.55 (step @p497 :rule trans :premises (@p496 @p490)) % 206.23/206.55 (step @p498 :rule refl :args (@t43)) % 206.23/206.55 (step @p499 :rule nary_cong :premises (@p498 @p497) :args (@t44)) % 206.23/206.55 (step @p500 :rule refl :args (@t46)) % 206.23/206.55 (step @p501 :rule cong :premises (@p500 @p499) :args (@t47)) % 206.23/206.55 (step @p502 :rule cong :premises (@p501) :args (@t49)) % 206.23/206.55 (step @p503 :rule trans :premises (@p502 @p481)) % 206.23/206.55 (step @p504 :rule trans :premises (@p503 @p473)) % 206.23/206.55 (step @p505 :rule eq_resolve :premises (@p7 @p504)) % 206.23/206.55 (step @p506 :rule instantiate :premises (@p505) :args ((@list @t179 @t178 @t143 @t258))) % 206.23/206.55 ; trust TRUST PREPROCESS_SORT_INFER % 206.23/206.55 (step @p507 :rule trust :premises () :args ((= (forall @t37 @t376) (forall (@list @t375 @t374 @t373 @t1) (or (not (_ @t164 @t375 @t374 @t373)) (not (_ @t144 @t1 @t373)) (and @t5 (_ @t360 @t128 @t373) (_ @t360 @t126 @t373))))))) % 206.23/206.55 (step @p508 :rule aci_norm :args ((= (or (or @t171 @t365) @t34) @t376))) % 206.23/206.55 (step @p509 :rule refl :args (@t34)) % 206.23/206.55 (step @p510 :rule bool-and-de-morgan :args (@t29 @t35 true)) % 206.23/206.55 (step @p511 :rule nary_cong :premises (@p510 @p509) :args ((or (not @t36) @t34))) % 206.23/206.55 (step @p512 :rule trans :premises (@p511 @p508)) % 206.23/206.55 (step @p513 :rule bool-impl-elim :args (@t36 @t34)) % 206.23/206.55 (step @p514 :rule trans :premises (@p513 @p512)) % 206.23/206.55 (step @p515 :rule cong :premises (@p514) :args (@t38)) % 206.23/206.55 (step @p516 :rule trans :premises (@p515 @p507)) % 206.23/206.55 (step @p517 :rule eq_resolve :premises (@p6 @p516)) % 206.23/206.55 (step @p518 :rule instantiate :premises (@p517) :args ((@list @t179 @t178 @t143 @t159))) % 206.23/206.55 (step @p519 :rule cnf_or_pos :args (@t379)) % 206.23/206.55 (step @p520 :rule reordering :premises (@p519) :args ((or @t181 @t229 @t378 (not @t379)))) % 206.23/206.55 (step @p521 :rule chain_m_resolution :premises (@p520 @p156 @p417 @p518) :args (@t378 @t348 (@list @t180 @t228 @t379))) % 206.23/206.55 (step @p522 :rule cnf_and_pos :args (@t378 2)) % 206.23/206.55 (step @p523 :rule reordering :premises (@p522) :args ((or @t377 (not @t378)))) % 206.23/206.55 (step @p524 :rule chain_m_resolution :premises (@p523 @p521) :args (@t377 @t157 (@list @t378))) % 206.23/206.55 (step @p525 :rule cnf_or_pos :args (@t385)) % 206.23/206.55 (step @p526 :rule reordering :premises (@p525) :args ((or @t181 @t384 @t383 (not @t385)))) % 206.23/206.55 (step @p527 :rule chain_m_resolution :premises (@p526 @p156 @p524 @p506) :args (@t383 @t348 (@list @t180 @t377 @t385))) % 206.23/206.55 (step @p528 :rule cnf_and_pos :args (@t383 0)) % 206.23/206.55 (step @p529 :rule reordering :premises (@p528) :args ((or @t382 (not @t383)))) % 206.23/206.55 (step @p530 :rule chain_m_resolution :premises (@p529 @p527) :args (@t382 @t157 (@list @t383))) % 206.23/206.55 ; trust TRUST PREPROCESS_SORT_INFER % 206.23/206.55 (step @p531 :rule trust :premises () :args ((= (forall @t6 (or @t129 @t8)) (forall @t6 (or @t129 (and (_ @t243 @t128) (_ @t243 @t126))))))) % 206.23/206.55 (step @p532 :rule bool-impl-elim :args (@t5 @t8)) % 206.23/206.55 (step @p533 :rule cong :premises (@p532) :args (@t9)) % 206.23/206.55 (step @p534 :rule trans :premises (@p533 @p531)) % 206.23/206.55 (step @p535 :rule eq_resolve :premises (@p2 @p534)) % 206.23/206.55 (step @p536 :rule instantiate :premises (@p535) :args (@t153)) % 206.23/206.55 (step @p537 :rule cnf_or_pos :args (@t388)) % 206.23/206.55 (step @p538 :rule reordering :premises (@p537) :args ((or @t151 @t387 (not @t388)))) % 206.23/206.55 (step @p539 :rule chain_m_resolution :premises (@p538 @p219 @p536) :args (@t387 @t214 (@list @t150 @t388))) % 206.23/206.55 (step @p540 :rule cnf_and_pos :args (@t387 0)) % 206.23/206.55 (step @p541 :rule reordering :premises (@p540) :args ((or @t386 (not @t387)))) % 206.23/206.55 (step @p542 :rule chain_m_resolution :premises (@p541 @p539) :args (@t386 @t157 (@list @t387))) % 206.23/206.55 (step @p543 :rule cnf_or_pos :args (@t393)) % 206.23/206.55 (step @p544 :rule reordering :premises (@p543) :args ((or @t392 @t391 @t259 @t390 (not @t393)))) % 206.23/206.55 (step @p545 :rule chain_m_resolution :premises (@p544 @p542 @p530 @p472 @p273) :args (@t390 @t354 (@list @t386 @t382 @t259 @t393))) % 206.23/206.55 (step @p546 :rule refl :args (@t407)) % 206.23/206.55 (step @p547 :rule bool-double-not-elim :args (@t389)) % 206.23/206.55 (step @p548 :rule nary_cong :premises (@p547 @p546) :args ((or (not @t390) @t407))) % 206.23/206.55 (step @p549 :rule eq-symm :args (@t395 @t147)) % 206.23/206.55 (step @p550 :rule eq-symm :args (@t397 @t258)) % 206.23/206.55 (step @p551 :rule nary_cong :premises (@p550 @p549) :args (@t409)) % 206.23/206.55 (step @p552 :rule eq-symm :args (@t395 @t258)) % 206.23/206.55 (step @p553 :rule eq-symm :args (@t397 @t147)) % 206.23/206.55 (step @p554 :rule nary_cong :premises (@p553 @p552) :args (@t410)) % 206.23/206.55 (step @p555 :rule cong :premises (@p554 @p551) :args (@t411)) % 206.23/206.55 (step @p556 :rule refl :args (@t405)) % 206.23/206.55 (step @p557 :rule nary_cong :premises (@p556 @p555) :args (@t412)) % 206.23/206.55 (step @p558 :rule cong :premises (@p557) :args (@t413)) % 206.23/206.55 (step @p559 :rule refl :args (@t390)) % 206.23/206.55 (step @p560 :rule cong :premises (@p559 @p558) :args ((=> @t390 @t413))) % 206.23/206.55 (assume-push @p804 @t390) % 206.23/206.55 (step @p562 :rule skolemize :premises (@p804)) % 206.23/206.55 (step-pop @p805 :rule scope :premises (@p562)) % 206.23/206.55 (step @p563 :rule process_scope :premises (@p805) :args (@t413)) % 206.23/206.55 (step @p565 :rule eq_resolve :premises (@p563 @p560)) % 206.23/206.55 (step @p566 :rule implies_elim :premises (@p565)) % 206.23/206.55 (step @p567 :rule eq_resolve :premises (@p566 @p548)) % 206.23/206.55 (step @p568 :rule chain_m_resolution :premises (@p567 @p545) :args (@t407 @t210 (@list @t389))) % 206.23/206.55 (step @p569 :rule cnf_or_neg :args (@t406 1)) % 206.23/206.55 (step @p570 :rule chain_m_resolution :premises (@p569 @p568) :args ((not @t403) @t210 @t414)) % 206.23/206.55 ; trust TRUST PREPROCESS_SORT_INFER % 206.23/206.55 (step @p571 :rule trust :premises () :args ((= (forall @t421 (or @t205 @t330 (and (or (not (= @t94 @t420)) (not (= @t92 @t419))) @t91))) (forall (@list @t418 @t417 @t51 @t50 @t415 @t416) (or (not (_ @t141 @t418 @t417 @t415)) (not (_ @t270 @t51 @t50 @t415)) (and (or (not (= (_ @t125 @t51) (_ @t125 @t416))) (not (= (_ @t127 @t50) (_ @t127 @t416)))) (not (_ @t270 @t50 @t51 @t415)))))))) % 206.23/206.55 (step @p572 :rule refl :args (@t91)) % 206.23/206.55 (step @p573 :rule eq-symm :args (@t419 @t92)) % 206.23/206.55 (step @p574 :rule cong :premises (@p573) :args (@t422)) % 206.23/206.55 (step @p575 :rule eq-symm :args (@t420 @t94)) % 206.23/206.55 (step @p576 :rule cong :premises (@p575) :args (@t423)) % 206.23/206.55 (step @p577 :rule nary_cong :premises (@p576 @p574) :args (@t424)) % 206.23/206.55 (step @p578 :rule nary_cong :premises (@p577 @p572) :args (@t425)) % 206.23/206.55 (step @p579 :rule refl :args (@t205)) % 206.23/206.55 (step @p580 :rule nary_cong :premises (@p579 @p378 @p578) :args (@t426)) % 206.23/206.55 (step @p581 :rule cong :premises (@p580) :args (@t427)) % 206.23/206.55 (step @p582 :rule quant-merge-prenex :args ((= (forall @t103 @t429) @t427))) % 206.23/206.55 (step @p583 :rule quant-unused-vars :args ((= @t430 @t91))) % 206.23/206.55 (step @p584 :rule alpha_equiv :args (@t431 (@list @t416) @t297)) % 206.23/206.55 (step @p585 :rule nary_cong :premises (@p584 @p583) :args (@t432)) % 206.23/206.55 (step @p586 :rule quant-miniscope-and :args ((= @t433 @t432))) % 206.23/206.55 (step @p587 :rule trans :premises (@p586 @p585)) % 206.23/206.55 (step @p588 :rule refl :args (@t205)) % 206.23/206.55 (step @p589 :rule nary_cong :premises (@p588 @p385 @p587) :args (@t434)) % 206.23/206.55 (step @p590 :rule quant-miniscope-or :args ((= @t429 @t434))) % 206.23/206.55 (step @p591 :rule trans :premises (@p590 @p589)) % 206.23/206.55 (step @p592 :rule symm :premises (@p591)) % 206.23/206.55 (step @p593 :rule cong :premises (@p592) :args ((forall @t103 @t437))) % 206.23/206.55 (step @p594 :rule trans :premises (@p593 @p582)) % 206.23/206.55 (step @p595 :rule trans :premises (@p594 @p581)) % 206.23/206.55 (step @p596 :rule aci_norm :args ((= (or (or @t205 @t330) @t436) @t437))) % 206.23/206.55 (step @p597 :rule refl :args (@t436)) % 206.23/206.55 (step @p598 :rule bool-and-de-morgan :args (@t100 @t58 true)) % 206.23/206.55 (step @p599 :rule nary_cong :premises (@p598 @p597) :args ((or (not @t101) @t436))) % 206.23/206.55 (step @p600 :rule trans :premises (@p599 @p596)) % 206.23/206.55 (step @p601 :rule bool-impl-elim :args (@t101 @t436)) % 206.23/206.55 (step @p602 :rule trans :premises (@p601 @p600)) % 206.23/206.55 (step @p603 :rule cong :premises (@p602) :args ((forall @t103 (=> @t101 @t436)))) % 206.23/206.55 (step @p604 :rule trans :premises (@p603 @p595)) % 206.23/206.55 (step @p605 :rule bool-double-not-elim :args (@t435)) % 206.23/206.55 (step @p606 :rule bool-and-de-morgan :args (@t95 @t93 true)) % 206.23/206.55 (step @p607 :rule cong :premises (@p606) :args (@t438)) % 206.23/206.55 (step @p608 :rule cong :premises (@p607) :args (@t439)) % 206.23/206.55 (step @p609 :rule exists-elim :args ((= @t97 @t439))) % 206.23/206.55 (step @p610 :rule trans :premises (@p609 @p608)) % 206.23/206.55 (step @p611 :rule cong :premises (@p610) :args (@t98)) % 206.23/206.55 (step @p612 :rule trans :premises (@p611 @p605)) % 206.23/206.55 (step @p613 :rule nary_cong :premises (@p612 @p572) :args (@t99)) % 206.23/206.55 (step @p614 :rule refl :args (@t101)) % 206.23/206.55 (step @p615 :rule cong :premises (@p614 @p613) :args (@t102)) % 206.23/206.55 (step @p616 :rule cong :premises (@p615) :args (@t104)) % 206.23/206.55 (step @p617 :rule trans :premises (@p616 @p604)) % 206.23/206.55 (step @p618 :rule trans :premises (@p617 @p571)) % 206.23/206.55 (step @p619 :rule eq_resolve :premises (@p12 @p618)) % 206.23/206.55 (step @p620 :rule instantiate :premises (@p619) :args ((@list @t179 @t178 @t159 @t146 @t143 @t394))) % 206.23/206.55 (step @p621 :rule cnf_or_pos :args (@t444)) % 206.23/206.55 (step @p622 :rule reordering :premises (@p621) :args ((or @t208 @t346 @t443 (not @t444)))) % 206.23/206.55 (step @p623 :rule chain_m_resolution :premises (@p622 @p150 @p420 @p620) :args (@t443 @t348 (@list @t206 @t340 @t444))) % 206.23/206.55 (step @p624 :rule cnf_and_pos :args (@t443 0)) % 206.23/206.55 (step @p625 :rule reordering :premises (@p624) :args ((or @t442 (not @t443)))) % 206.23/206.55 (step @p626 :rule chain_m_resolution :premises (@p625 @p623) :args (@t442 @t157 (@list @t443))) % 206.23/206.55 (step @p627 :rule cnf_or_pos :args (@t442)) % 206.23/206.55 (step @p628 :rule reordering :premises (@p627) :args ((or @t440 @t441 (not @t442)))) % 206.23/206.55 (step @p629 :rule cnf_and_pos :args (@t402 1)) % 206.23/206.55 (step @p630 :rule reordering :premises (@p629) :args ((or @t400 @t445))) % 206.23/206.55 (step @p631 :rule cnf_equiv_neg1 :args (@t403)) % 206.23/206.55 (step @p632 :rule reordering :premises (@p631) :args ((or @t402 @t399 @t403))) % 206.23/206.55 (step @p633 :rule cnf_and_pos :args (@t399 0)) % 206.23/206.55 (step @p634 :rule reordering :premises (@p633) :args ((or @t398 @t446))) % 206.23/206.55 (step @p635 :rule refl :args (@t447)) % 206.23/206.55 (step @p636 :rule refl :args (@t440)) % 206.23/206.55 (step @p637 :rule bool-double-not-elim :args (@t259)) % 206.23/206.55 (step @p638 :rule nary_cong :premises (@p637 @p636 @p635) :args ((or (not @t356) @t440 @t447))) % 206.23/206.55 (assume-push @p806 @t398) % 206.23/206.55 (assume-push @p807 @t401) % 206.23/206.55 (assume-push @p808 @t356) % 206.23/206.55 (step @p169 :rule evaluate :args (@t218)) % 206.23/206.55 (step @p642 :rule symm :premises (@p806)) % 206.23/206.55 (step @p643 :rule trans :premises (@p807 @p642)) % 206.23/206.55 (step @p644 :rule true_intro :premises (@p643)) % 206.23/206.55 (step @p645 :rule false_intro :premises (@p808)) % 206.23/206.55 (step @p646 :rule symm :premises (@p645)) % 206.23/206.55 (step @p647 :rule trans :premises (@p646 @p644)) % 206.23/206.55 (step @p648 false :rule eq_resolve :premises (@p647 @p169)) % 206.23/206.55 (step-pop @p809 :rule scope :premises (@p648)) % 206.23/206.55 (step-pop @p810 :rule scope :premises (@p809)) % 206.23/206.55 (step-pop @p811 :rule scope :premises (@p810)) % 206.23/206.55 (step @p649 :rule process_scope :premises (@p811) :args (false)) % 206.23/206.55 (assume-push @p812 @t356) % 206.23/206.55 (assume-push @p813 @t401) % 206.23/206.55 (assume-push @p814 @t398) % 206.23/206.55 (step @p656 :rule and_intro :premises (@p814 @p813 @p812)) % 206.23/206.55 (step-pop @p815 :rule scope :premises (@p656)) % 206.23/206.55 (step-pop @p816 :rule scope :premises (@p815)) % 206.23/206.55 (step-pop @p817 :rule scope :premises (@p816)) % 206.23/206.55 (step @p657 :rule process_scope :premises (@p817) :args (@t448)) % 206.23/206.55 (step @p661 :rule implies_elim :premises (@p657)) % 206.23/206.55 (step @p662 :rule resolution :premises (@p661 @p649) :args (true @t448)) % 206.23/206.55 (step @p663 :rule not_and :premises (@p662)) % 206.23/206.55 (step @p664 :rule eq_resolve :premises (@p663 @p638)) % 206.23/206.55 (step @p665 :rule chain_m_resolution :premises (@p664 @p472 @p634 @p632 @p570 @p630 @p628 @p626) :args (@t440 (@list true false false true true true false) (@list @t259 @t398 @t399 @t403 @t402 @t400 @t442))) % 206.23/206.55 (step @p666 :rule cnf_and_pos :args (@t402 0)) % 206.23/206.55 (step @p667 :rule reordering :premises (@p666) :args ((or @t401 @t445))) % 206.23/206.55 (step @p668 :rule chain_m_resolution :premises (@p667 @p665) :args (@t445 @t210 (@list @t401))) % 206.23/206.55 (step @p669 :rule chain_m_resolution :premises (@p632 @p668 @p570) :args (@t399 (@list true true) (@list @t402 @t403))) % 206.23/206.55 (step @p670 :rule cnf_and_pos :args (@t399 1)) % 206.23/206.55 (step @p671 :rule reordering :premises (@p670) :args ((or @t396 @t446))) % 206.23/206.55 (step @p672 :rule chain_m_resolution :premises (@p671 @p669) :args (@t396 @t157 @t449)) % 206.23/206.55 (step @p673 :rule instantiate :premises (@p39) :args ((@list @t146 @t394))) % 206.23/206.55 (step @p674 :rule eq-symm :args (@t394 @t159)) % 206.23/206.55 (step @p675 :rule cong :premises (@p674) :args (@t450)) % 206.23/206.55 (step @p676 :rule refl :args (@t404)) % 206.23/206.55 (step @p677 :rule nary_cong :premises (@p676 @p277 @p675 @p550) :args (@t451)) % 206.23/206.55 (step @p678 :rule refl :args (@t452)) % 206.23/206.55 (step @p679 :rule cong :premises (@p678 @p677) :args (@t453)) % 206.23/206.55 (step @p680 :rule cong :premises (@p282 @p679) :args ((=> @t158 @t453))) % 206.23/206.55 (assume-push @p818 @t158) % 206.23/206.55 (step @p682 :rule instantiate :premises (@p39) :args ((@list @t394 @t159))) % 206.23/206.55 (step-pop @p819 :rule scope :premises (@p682)) % 206.23/206.55 (step @p683 :rule process_scope :premises (@p819) :args (@t453)) % 206.23/206.55 (step @p685 :rule eq_resolve :premises (@p683 @p680)) % 206.23/206.55 (step @p686 :rule implies_elim :premises (@p685)) % 206.23/206.55 (step @p687 :rule chain_m_resolution :premises (@p686 @p39) :args (@t457 @t157 @t266)) % 206.23/206.55 (step @p688 :rule chain_m_resolution :premises (@p634 @p669) :args (@t398 @t157 @t449)) % 206.23/206.55 (assume-push @p820 @t398) % 206.23/206.55 (assume-push @p821 @t396) % 206.23/206.55 (assume-push @p822 @t454) % 206.23/206.55 (assume-push @p823 @t398) % 206.23/206.55 (assume-push @p824 @t454) % 206.23/206.55 (assume-push @p825 @t396) % 206.23/206.55 (step @p695 :rule symm :premises (@p822)) % 206.23/206.55 (step @p696 :rule cong :premises (@p695) :args (@t395)) % 206.23/206.55 (step @p697 :rule trans :premises (@p821 @p696 @p820)) % 206.23/206.55 (step-pop @p826 :rule scope :premises (@p697)) % 206.23/206.55 (step-pop @p827 :rule scope :premises (@p826)) % 206.23/206.55 (step-pop @p828 :rule scope :premises (@p827)) % 206.23/206.55 (step @p698 :rule process_scope :premises (@p828) :args (@t401)) % 206.23/206.55 (step @p702 :rule and_intro :premises (@p820 @p822 @p821)) % 206.23/206.55 (step @p703 :rule modus_ponens :premises (@p702 @p698)) % 206.23/206.55 (step-pop @p829 :rule scope :premises (@p703)) % 206.23/206.55 (step-pop @p830 :rule scope :premises (@p829)) % 206.23/206.55 (step-pop @p831 :rule scope :premises (@p830)) % 206.23/206.55 (step @p704 :rule process_scope :premises (@p831) :args (@t401)) % 206.23/206.55 (step @p708 :rule implies_elim :premises (@p704)) % 206.23/206.55 (step @p709 :rule cnf_and_neg :args (@t458)) % 206.23/206.55 (step @p710 :rule resolution :premises (@p709 @p708) :args (true @t458)) % 206.23/206.55 (step @p711 :rule reordering :premises (@p710) :args ((or @t401 @t447 @t459 @t455))) % 206.23/206.55 (step @p712 :rule chain_m_resolution :premises (@p711 @p688 @p665 @p672) :args (@t455 @t221 (@list @t398 @t401 @t396))) % 206.23/206.55 (step @p713 :rule bool-double-not-elim :args (@t404)) % 206.23/206.55 (step @p714 :rule refl :args (@t406)) % 206.23/206.55 (step @p715 :rule nary_cong :premises (@p714 @p713) :args ((or @t406 (not @t405)))) % 206.23/206.55 (step @p716 :rule cnf_or_neg :args (@t406 0)) % 206.23/206.55 (step @p717 :rule eq_resolve :premises (@p716 @p715)) % 206.23/206.55 (step @p718 :rule reordering :premises (@p717) :args ((or @t404 @t406))) % 206.23/206.55 (step @p719 :rule chain_m_resolution :premises (@p718 @p568) :args (@t404 @t210 @t414)) % 206.23/206.55 (step @p720 :rule bool-double-not-elim :args (@t454)) % 206.23/206.55 (step @p721 :rule refl :args (@t456)) % 206.23/206.55 (step @p722 :rule nary_cong :premises (@p721 @p556 @p466 @p720 @p635) :args ((or @t456 @t405 @t357 (not @t455) @t447))) % 206.23/206.55 (step @p723 :rule cnf_and_neg :args (@t456)) % 206.23/206.55 (step @p724 :rule eq_resolve :premises (@p723 @p722)) % 206.23/206.55 (step @p725 :rule reordering :premises (@p724) :args ((or @t357 @t405 @t447 @t454 @t456))) % 206.23/206.55 (step @p726 :rule chain_m_resolution :premises (@p725 @p460 @p719 @p688 @p712) :args (@t456 @t460 (@list @t236 @t404 @t398 @t454))) % 206.23/206.55 (step @p727 :rule cnf_equiv_pos2 :args (@t457)) % 206.23/206.55 (step @p728 :rule reordering :premises (@p727) :args ((or @t452 (not @t456) (not @t457)))) % 206.23/206.55 (step @p729 :rule chain_m_resolution :premises (@p728 @p726 @p687) :args (@t452 @t214 (@list @t456 @t457))) % 206.23/206.55 (step @p730 :rule instantiate :premises (@p13) :args ((@list @t159 @t146 @t394))) % 206.23/206.55 (step @p731 :rule bool-double-not-elim :args (@t222)) % 206.23/206.55 (step @p732 :rule nary_cong :premises (@p208 @p731) :args ((or @t230 (not @t223)))) % 206.23/206.55 (step @p733 :rule cnf_or_neg :args (@t230 3)) % 206.23/206.55 (step @p734 :rule eq_resolve :premises (@p733 @p732)) % 206.23/206.55 (step @p735 :rule reordering :premises (@p734) :args ((or @t222 @t230))) % 206.23/206.55 (step @p736 :rule chain_m_resolution :premises (@p735 @p206) :args (@t222 @t210 @t232)) % 206.23/206.55 (assume-push @p832 @t222) % 206.23/206.55 (step @p738 :rule instantiate :premises (@p832) :args ((@list @t394))) % 206.23/206.55 (step-pop @p833 :rule scope :premises (@p738)) % 206.23/206.55 (step @p739 :rule process_scope :premises (@p833) :args (@t462)) % 206.23/206.55 (step @p741 :rule implies_elim :premises (@p739)) % 206.23/206.55 (step @p742 :rule chain_m_resolution :premises (@p741 @p736) :args (@t462 @t157 (@list @t222))) % 206.23/206.55 (step @p743 :rule cnf_equiv_pos2 :args (@t465)) % 206.23/206.55 (step @p744 :rule reordering :premises (@p743) :args ((or @t461 @t466 (not @t465)))) % 206.23/206.55 (step @p745 :rule chain_m_resolution :premises (@p744 @p742 @p730) :args (@t466 @t220 (@list @t461 @t465))) % 206.23/206.55 (step @p746 :rule cnf_and_neg :args (@t464)) % 206.23/206.55 (step @p747 :rule reordering :premises (@p746) :args ((or @t225 @t357 @t151 @t405 @t464 @t467 (not @t452)))) % 206.23/206.55 (step @p748 :rule chain_m_resolution :premises (@p747 @p213 @p460 @p219 @p719 @p745 @p729) :args (@t467 (@list false false false false true false) (@list @t224 @t236 @t150 @t404 @t464 @t452))) % 206.23/206.55 (step @p749 :rule cnf_equiv_pos2 :args (@t471)) % 206.23/206.55 (step @p750 :rule reordering :premises (@p749) :args ((or @t463 @t472 (not @t471)))) % 206.23/206.55 (step @p751 :rule chain_m_resolution :premises (@p750 @p748 @p673) :args (@t472 @t220 (@list @t463 @t471))) % 206.23/206.55 (step @p752 :rule refl :args (@t459)) % 206.23/206.55 (step @p753 :rule bool-double-not-elim :args (@t468)) % 206.23/206.55 (step @p754 :rule refl :args (@t470)) % 206.23/206.55 (step @p755 :rule nary_cong :premises (@p754 @p27 @p556 @p753 @p752) :args ((or @t470 @t151 @t405 (not @t469) @t459))) % 206.23/206.55 (step @p756 :rule cnf_and_neg :args (@t470)) % 206.23/206.55 (step @p757 :rule eq_resolve :premises (@p756 @p755)) % 206.23/206.55 (step @p758 :rule reordering :premises (@p757) :args ((or @t151 @t405 @t459 @t468 @t470))) % 206.23/206.55 (step @p759 :rule chain_m_resolution :premises (@p758 @p219 @p719 @p672 @p751) :args (@t468 @t460 (@list @t150 @t404 @t396 @t470))) % 206.23/206.55 (assume-push @p834 @t396) % 206.23/206.55 (assume-push @p835 @t468) % 206.23/206.55 (assume-push @p836 @t396) % 206.23/206.55 (assume-push @p837 @t468) % 206.23/206.55 (step @p764 :rule symm :premises (@p834)) % 206.23/206.55 (step @p765 :rule cong :premises (@p835) :args (@t148)) % 206.23/206.55 (step @p766 :rule trans :premises (@p765 @p764)) % 206.23/206.55 (step-pop @p838 :rule scope :premises (@p766)) % 206.23/206.55 (step-pop @p839 :rule scope :premises (@p838)) % 206.23/206.55 (step @p767 :rule process_scope :premises (@p839) :args (@t154)) % 206.23/206.55 (step @p770 :rule and_intro :premises (@p834 @p835)) % 206.23/206.55 (step @p771 :rule modus_ponens :premises (@p770 @p767)) % 206.23/206.55 (step-pop @p840 :rule scope :premises (@p771)) % 206.23/206.55 (step-pop @p841 :rule scope :premises (@p840)) % 206.23/206.55 (step @p772 :rule process_scope :premises (@p841) :args (@t154)) % 206.23/206.55 (step @p775 :rule implies_elim :premises (@p772)) % 206.23/206.55 (step @p776 :rule cnf_and_neg :args (@t473)) % 206.23/206.55 (step @p777 :rule resolution :premises (@p776 @p775) :args (true @t473)) % 206.23/206.55 (step @p778 :rule reordering :premises (@p777) :args ((or @t154 @t459 @t469))) % 206.23/206.55 (step @p779 false :rule chain_m_resolution :premises (@p778 @p759 @p672 @p222) :args (false (@list false false true) (@list @t468 @t396 @t154))) % 206.23/206.55 ) % 206.23/206.55 % SZS output end Proof % 206.23/206.55 % cvc5 exiting %------------------------------------------------------------------------------