%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRA002+1 : TPTP v9.2.1. Bugfixed v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:18:30 AM UTC 2026 % Result : Theorem 205.32s 205.65s % Output : Proof 205.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GRA002+1 : TPTP v9.2.1. Bugfixed v3.2.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n012.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 00:13:33 EDT 2026 % 0.06/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 205.32/205.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 205.32/205.65 --- Run --no-e-matching --full-saturate-quant at 6... % 205.32/205.65 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 205.32/205.65 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 205.32/205.65 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 205.32/205.65 --- Run --trigger-sel=max --full-saturate-quant at 15... % 205.32/205.65 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 205.32/205.65 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 205.32/205.65 --- Run --prenex-quant=none --full-saturate-quant at 30... % 205.32/205.65 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 205.32/205.65 --- Run --relevant-triggers --full-saturate-quant at 30... % 205.32/205.65 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 205.32/205.65 % SZS status Theorem % 205.32/205.65 % SZS output start Proof % 205.32/205.65 ( % 205.32/205.65 (declare-sort $$unsorted 0) % 205.32/205.65 (declare-const tptp.graph $$unsorted) % 205.32/205.65 (declare-const tptp.number_of_in (-> $$unsorted $$unsorted $$unsorted)) % 205.32/205.65 (declare-const tptp.edges $$unsorted) % 205.32/205.65 (declare-const tptp.triangle (-> $$unsorted $$unsorted $$unsorted Bool)) % 205.32/205.65 (declare-const tptp.shortest_path (-> $$unsorted $$unsorted $$unsorted Bool)) % 205.32/205.65 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 205.32/205.65 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 205.32/205.65 (declare-const tptp.tail_of (-> $$unsorted $$unsorted)) % 205.32/205.65 (declare-const tptp.triangles $$unsorted) % 205.32/205.65 (declare-const tptp.in_path (-> $$unsorted $$unsorted Bool)) % 205.32/205.65 (declare-const tptp.head_of (-> $$unsorted $$unsorted)) % 205.32/205.65 (declare-const tptp.sequential_pairs $$unsorted) % 205.32/205.65 (declare-const tptp.edge (-> $$unsorted Bool)) % 205.32/205.65 (declare-const tptp.path_cons (-> $$unsorted $$unsorted $$unsorted)) % 205.32/205.65 (declare-const tptp.precedes (-> $$unsorted $$unsorted $$unsorted Bool)) % 205.32/205.65 (declare-const tptp.complete Bool) % 205.32/205.65 (declare-const tptp.path (-> $$unsorted $$unsorted $$unsorted Bool)) % 205.32/205.65 (declare-const tptp.vertex (-> $$unsorted Bool)) % 205.32/205.65 (declare-const tptp.on_path (-> $$unsorted $$unsorted Bool)) % 205.32/205.65 (declare-const tptp.empty $$unsorted) % 205.32/205.65 (declare-const tptp.n1 $$unsorted) % 205.32/205.65 (declare-const tptp.sequential (-> $$unsorted $$unsorted Bool)) % 205.32/205.65 (declare-const tptp.length_of (-> $$unsorted $$unsorted)) % 205.32/205.65 (define @t1 () (@var "E" $$unsorted)) % 205.32/205.65 (define @t2 () (tptp.tail_of @t1)) % 205.32/205.65 (define @t3 () (tptp.head_of @t1)) % 205.32/205.65 (define @t4 () (not (= @t3 @t2))) % 205.32/205.65 (define @t5 () (tptp.edge @t1)) % 205.32/205.65 (define @t6 () (@list @t1)) % 205.32/205.65 (define @t7 () (forall @t6 (=> @t5 @t4))) % 205.32/205.65 (define @t8 () (and (tptp.vertex @t3) (tptp.vertex @t2))) % 205.32/205.65 (define @t9 () (forall @t6 (=> @t5 @t8))) % 205.32/205.65 (define @t10 () (@var "V1" $$unsorted)) % 205.32/205.65 (define @t11 () (= @t10 @t2)) % 205.32/205.65 (define @t12 () (@var "V2" $$unsorted)) % 205.32/205.65 (define @t13 () (= @t12 @t3)) % 205.32/205.65 (define @t14 () (and @t13 @t11)) % 205.32/205.65 (define @t15 () (and (= @t10 @t3) (= @t12 @t2))) % 205.32/205.65 (define @t16 () (xor @t15 @t14)) % 205.32/205.65 (define @t17 () (and @t5 @t16)) % 205.32/205.65 (define @t18 () (exists @t6 @t17)) % 205.32/205.65 (define @t19 () (= @t10 @t12)) % 205.32/205.65 (define @t20 () (not @t19)) % 205.32/205.65 (define @t21 () (tptp.vertex @t12)) % 205.32/205.65 (define @t22 () (tptp.vertex @t10)) % 205.32/205.65 (define @t23 () (and @t22 @t21 @t20)) % 205.32/205.65 (define @t24 () (=> @t23 @t18)) % 205.32/205.65 (define @t25 () (@list @t10 @t12)) % 205.32/205.65 (define @t26 () (forall @t25 @t24)) % 205.32/205.65 (define @t27 () (=> tptp.complete @t26)) % 205.32/205.65 (define @t28 () (@var "P" $$unsorted)) % 205.32/205.65 (define @t29 () (tptp.path @t10 @t12 @t28)) % 205.32/205.65 (define @t30 () (@var "TP" $$unsorted)) % 205.32/205.65 (define @t31 () (exists (@list @t30) (and (tptp.path @t3 @t12 @t30) (= @t28 (tptp.path_cons @t1 @t30))))) % 205.32/205.65 (define @t32 () (and @t13 (= @t28 (tptp.path_cons @t1 tptp.empty)))) % 205.32/205.65 (define @t33 () (@list @t10 @t12 @t28)) % 205.32/205.65 (define @t34 () (and @t5 (tptp.in_path @t3 @t28) (tptp.in_path @t2 @t28))) % 205.32/205.65 (define @t35 () (tptp.on_path @t1 @t28)) % 205.32/205.65 (define @t36 () (and @t29 @t35)) % 205.32/205.65 (define @t37 () (@list @t10 @t12 @t28 @t1)) % 205.32/205.65 (define @t38 () (forall @t37 (=> @t36 @t34))) % 205.32/205.65 (define @t39 () (@var "V" $$unsorted)) % 205.32/205.65 (define @t40 () (or (= @t39 @t3) (= @t39 @t2))) % 205.32/205.65 (define @t41 () (and @t35 @t40)) % 205.32/205.65 (define @t42 () (exists @t6 @t41)) % 205.32/205.65 (define @t43 () (tptp.vertex @t39)) % 205.32/205.65 (define @t44 () (and @t43 @t42)) % 205.32/205.65 (define @t45 () (tptp.in_path @t39 @t28)) % 205.32/205.65 (define @t46 () (and @t29 @t45)) % 205.32/205.65 (define @t47 () (=> @t46 @t44)) % 205.32/205.65 (define @t48 () (@list @t10 @t12 @t28 @t39)) % 205.32/205.65 (define @t49 () (forall @t48 @t47)) % 205.32/205.65 (define @t50 () (@var "E2" $$unsorted)) % 205.32/205.65 (define @t51 () (@var "E1" $$unsorted)) % 205.32/205.65 (define @t52 () (not (= @t51 @t50))) % 205.32/205.65 (define @t53 () (tptp.edge @t50)) % 205.32/205.65 (define @t54 () (tptp.edge @t51)) % 205.32/205.65 (define @t55 () (tptp.sequential @t51 @t50)) % 205.32/205.65 (define @t56 () (@list @t51 @t50)) % 205.32/205.65 (define @t57 () (forall @t56 (= @t55 (and @t54 @t53 @t52 (= (tptp.head_of @t51) (tptp.tail_of @t50)))))) % 205.32/205.65 (define @t58 () (tptp.precedes @t51 @t50 @t28)) % 205.32/205.65 (define @t59 () (@var "E3" $$unsorted)) % 205.32/205.65 (define @t60 () (tptp.precedes @t59 @t50 @t28)) % 205.32/205.65 (define @t61 () (tptp.sequential @t51 @t59)) % 205.32/205.65 (define @t62 () (and @t61 @t60)) % 205.32/205.65 (define @t63 () (@list @t59)) % 205.32/205.65 (define @t64 () (exists @t63 @t62)) % 205.32/205.65 (define @t65 () (or @t55 @t64)) % 205.32/205.65 (define @t66 () (tptp.on_path @t50 @t28)) % 205.32/205.65 (define @t67 () (tptp.on_path @t51 @t28)) % 205.32/205.65 (define @t68 () (and @t67 @t66 @t65)) % 205.32/205.65 (define @t69 () (=> @t68 @t58)) % 205.32/205.65 (define @t70 () (forall @t56 @t69)) % 205.32/205.65 (define @t71 () (=> @t29 @t70)) % 205.32/205.65 (define @t72 () (@list @t28 @t10 @t12)) % 205.32/205.65 (define @t73 () (forall @t72 @t71)) % 205.32/205.65 (define @t74 () (xor @t55 @t64)) % 205.32/205.65 (define @t75 () (and @t67 @t66 @t74)) % 205.32/205.65 (define @t76 () (=> @t58 @t75)) % 205.32/205.65 (define @t77 () (forall @t56 @t76)) % 205.32/205.65 (define @t78 () (=> @t29 @t77)) % 205.32/205.65 (define @t79 () (forall @t72 @t78)) % 205.32/205.65 (define @t80 () (tptp.length_of @t28)) % 205.32/205.65 (define @t81 () (@var "SP" $$unsorted)) % 205.32/205.65 (define @t82 () (tptp.less_or_equal (tptp.length_of @t81) @t80)) % 205.32/205.65 (define @t83 () (@list @t28)) % 205.32/205.65 (define @t84 () (forall @t83 (=> @t29 @t82))) % 205.32/205.65 (define @t85 () (tptp.path @t10 @t12 @t81)) % 205.32/205.65 (define @t86 () (and @t85 @t20 @t84)) % 205.32/205.65 (define @t87 () (tptp.shortest_path @t10 @t12 @t81)) % 205.32/205.65 (define @t88 () (= @t87 @t86)) % 205.32/205.65 (define @t89 () (@list @t10 @t12 @t81)) % 205.32/205.65 (define @t90 () (forall @t89 @t88)) % 205.32/205.65 (define @t91 () (not (tptp.precedes @t50 @t51 @t28))) % 205.32/205.65 (define @t92 () (tptp.head_of @t50)) % 205.32/205.65 (define @t93 () (= (tptp.head_of @t59) @t92)) % 205.32/205.65 (define @t94 () (tptp.tail_of @t51)) % 205.32/205.65 (define @t95 () (= (tptp.tail_of @t59) @t94)) % 205.32/205.65 (define @t96 () (and @t95 @t93)) % 205.32/205.65 (define @t97 () (exists @t63 @t96)) % 205.32/205.65 (define @t98 () (not @t97)) % 205.32/205.65 (define @t99 () (and @t98 @t91)) % 205.32/205.65 (define @t100 () (tptp.shortest_path @t10 @t12 @t28)) % 205.32/205.65 (define @t101 () (and @t100 @t58)) % 205.32/205.65 (define @t102 () (=> @t101 @t99)) % 205.32/205.65 (define @t103 () (@list @t10 @t12 @t51 @t50 @t28)) % 205.32/205.65 (define @t104 () (forall @t103 @t102)) % 205.32/205.65 (define @t105 () (tptp.triangle @t51 @t50 @t59)) % 205.32/205.65 (define @t106 () (tptp.minus @t80 tptp.n1)) % 205.32/205.65 (define @t107 () (tptp.number_of_in tptp.sequential_pairs @t28)) % 205.32/205.65 (define @t108 () (= @t107 @t106)) % 205.32/205.65 (define @t109 () (forall @t33 (=> @t29 @t108))) % 205.32/205.65 (define @t110 () (= @t107 (tptp.number_of_in tptp.triangles @t28))) % 205.32/205.65 (define @t111 () (exists @t63 @t105)) % 205.32/205.65 (define @t112 () (and @t67 @t66 @t55)) % 205.32/205.65 (define @t113 () (=> @t112 @t111)) % 205.32/205.65 (define @t114 () (forall @t56 @t113)) % 205.32/205.65 (define @t115 () (and @t29 @t114)) % 205.32/205.65 (define @t116 () (=> @t115 @t110)) % 205.32/205.65 (define @t117 () (forall @t72 @t116)) % 205.32/205.65 (define @t118 () (@var "Things" $$unsorted)) % 205.32/205.65 (define @t119 () (@var "InThese" $$unsorted)) % 205.32/205.65 (define @t120 () (forall (@list @t118 @t119) (tptp.less_or_equal (tptp.number_of_in @t118 @t119) (tptp.number_of_in @t118 tptp.graph)))) % 205.32/205.65 (define @t121 () (tptp.less_or_equal @t106 (tptp.number_of_in tptp.triangles tptp.graph))) % 205.32/205.65 (define @t122 () (forall @t72 (=> @t100 @t121))) % 205.32/205.65 (define @t123 () (=> tptp.complete @t122)) % 205.32/205.65 (define @t124 () (not @t123)) % 205.32/205.65 (define @t125 () (@const 0 (-> $$unsorted it_4_$$unsorted))) % 205.32/205.65 (define @t126 () (@const 1 (-> $$unsorted it_4_$$unsorted))) % 205.32/205.65 (define @t127 () (forall @t56 (= @t55 (and @t54 @t53 @t52 (= (_ @t126 @t51) (_ @t125 @t50)))))) % 205.32/205.65 (define @t128 () (not (forall @t63 (not @t105)))) % 205.32/205.65 (define @t129 () (not @t55)) % 205.32/205.65 (define @t130 () (@const 2 it_15_$$unsorted)) % 205.32/205.65 (define @t131 () (@const 3 it_90_$$unsorted)) % 205.32/205.65 (define @t132 () (@const 4 (-> it_90_$$unsorted it_15_$$unsorted it_71_$$unsorted))) % 205.32/205.65 (define @t133 () (_ @t132 @t131 @t130)) % 205.32/205.65 (define @t134 () (@const 5 it_99_$$unsorted)) % 205.32/205.65 (define @t135 () (@var "b_P" it_15_$$unsorted)) % 205.32/205.65 (define @t136 () (@const 6 (-> it_15_$$unsorted it_71_$$unsorted))) % 205.32/205.65 (define @t137 () (@const 7 (-> it_71_$$unsorted it_99_$$unsorted it_71_$$unsorted))) % 205.32/205.65 (define @t138 () (@const 8 (-> it_71_$$unsorted it_71_$$unsorted Bool))) % 205.32/205.65 (define @t139 () (@var "b_V2" it_4_$$unsorted)) % 205.32/205.65 (define @t140 () (@var "b_V1" it_4_$$unsorted)) % 205.32/205.65 (define @t141 () (@const 9 (-> it_4_$$unsorted it_4_$$unsorted it_15_$$unsorted Bool))) % 205.32/205.65 (define @t142 () (forall (@list @t135 @t140 @t139) (or (not (_ @t141 @t140 @t139 @t135)) (_ @t138 (_ @t137 (_ @t136 @t135) @t134) @t133)))) % 205.32/205.65 (define @t143 () (@quantifiers_skolemize @t142 0)) % 205.32/205.65 (define @t144 () (@const 10 (-> $$unsorted it_15_$$unsorted Bool))) % 205.32/205.65 (define @t145 () (forall @t56 (or (not (_ @t144 @t51 @t143)) (not (_ @t144 @t50 @t143)) @t129 @t128))) % 205.32/205.65 (define @t146 () (@quantifiers_skolemize @t145 1)) % 205.32/205.65 (define @t147 () (@quantifiers_skolemize @t145 0)) % 205.32/205.65 (define @t148 () (@var "b_P" it_15_$$unsorted)) % 205.32/205.65 (define @t149 () (@const 11 it_90_$$unsorted)) % 205.32/205.65 (define @t150 () (@var "b_V2" it_4_$$unsorted)) % 205.32/205.65 (define @t151 () (@var "b_V1" it_4_$$unsorted)) % 205.32/205.65 (define @t152 () (@const 12 (-> it_4_$$unsorted it_4_$$unsorted it_15_$$unsorted Bool))) % 205.32/205.65 (define @t153 () (not @t66)) % 205.32/205.65 (define @t154 () (not @t67)) % 205.32/205.65 (define @t155 () (or @t154 @t153 @t129 @t128)) % 205.32/205.65 (define @t156 () (forall @t56 @t155)) % 205.32/205.65 (define @t157 () (not @t156)) % 205.32/205.65 (define @t158 () (not @t29)) % 205.32/205.65 (define @t159 () (or @t158 @t157 @t110)) % 205.32/205.65 (define @t160 () (and @t29 @t156)) % 205.32/205.65 (define @t161 () (or @t154 @t153 @t129)) % 205.32/205.65 (define @t162 () (@quantifiers_skolemize @t142 2)) % 205.32/205.65 (define @t163 () (@quantifiers_skolemize @t142 1)) % 205.32/205.65 (define @t164 () (@var "b_Things" it_90_$$unsorted)) % 205.32/205.65 (define @t165 () (@var "b_InThese" it_15_$$unsorted)) % 205.32/205.65 (define @t166 () (@var "b_P" it_15_$$unsorted)) % 205.32/205.65 (define @t167 () (@var "b_V2" it_4_$$unsorted)) % 205.32/205.65 (define @t168 () (@var "b_V1" it_4_$$unsorted)) % 205.32/205.65 (define @t169 () (forall (@list @t168 @t167 @t166) (or (not (_ @t152 @t168 @t167 @t166)) (= (_ @t132 @t149 @t166) (_ @t137 (_ @t136 @t166) @t134))))) % 205.32/205.65 (define @t170 () (_ @t132 @t149 @t143)) % 205.32/205.65 (define @t171 () (_ @t136 @t143)) % 205.32/205.65 (define @t172 () (_ @t137 @t171 @t134)) % 205.32/205.65 (define @t173 () (_ @t152 @t163 @t162 @t143)) % 205.32/205.65 (define @t174 () (not @t173)) % 205.32/205.65 (define @t175 () (or @t174 (= @t170 @t172))) % 205.32/205.65 (define @t176 () (@list @t163 @t162 @t143)) % 205.32/205.65 (define @t177 () (= @t172 @t170)) % 205.32/205.65 (define @t178 () (or @t174 @t177)) % 205.32/205.65 (define @t179 () (@list false)) % 205.32/205.65 (define @t180 () (@var "b_P" it_15_$$unsorted)) % 205.32/205.65 (define @t181 () (_ @t136 @t180)) % 205.32/205.65 (define @t182 () (@var "b_SP" it_15_$$unsorted)) % 205.32/205.65 (define @t183 () (@var "b_V2" it_4_$$unsorted)) % 205.32/205.65 (define @t184 () (@var "b_V1" it_4_$$unsorted)) % 205.32/205.65 (define @t185 () (@list @t180)) % 205.32/205.65 (define @t186 () (=> tptp.complete @t142)) % 205.32/205.65 (define @t187 () (not @t186)) % 205.32/205.65 (define @t188 () (not @t100)) % 205.32/205.65 (define @t189 () (_ @t141 @t163 @t162 @t143)) % 205.32/205.65 (define @t190 () (_ @t138 @t172 @t133)) % 205.32/205.65 (define @t191 () (not @t189)) % 205.32/205.65 (define @t192 () (or @t191 @t190)) % 205.32/205.65 (define @t193 () (@list true)) % 205.32/205.65 (define @t194 () (@list @t192)) % 205.32/205.65 (define @t195 () (and @t173 (not (= @t163 @t162)) (forall @t185 (or (not (_ @t152 @t163 @t162 @t180)) (_ @t138 @t171 @t181))))) % 205.32/205.65 (define @t196 () (= @t189 @t195)) % 205.32/205.65 (define @t197 () (@list false false)) % 205.32/205.65 (define @t198 () (not @t190)) % 205.32/205.65 (define @t199 () (_ @t132 @t131 @t143)) % 205.32/205.65 (define @t200 () (_ @t138 @t199 @t133)) % 205.32/205.65 (define @t201 () (not @t200)) % 205.32/205.65 (define @t202 () (= @t170 @t199)) % 205.32/205.65 (define @t203 () (not @t202)) % 205.32/205.65 (define @t204 () (not @t177)) % 205.32/205.65 (define @t205 () (not @t145)) % 205.32/205.65 (define @t206 () (or @t174 @t205 @t202)) % 205.32/205.65 (define @t207 () (@list false true false)) % 205.32/205.65 (define @t208 () (forall @t63 (not (tptp.triangle @t147 @t146 @t59)))) % 205.32/205.65 (define @t209 () (not @t208)) % 205.32/205.65 (define @t210 () (tptp.sequential @t147 @t146)) % 205.32/205.65 (define @t211 () (not @t210)) % 205.32/205.65 (define @t212 () (_ @t144 @t146 @t143)) % 205.32/205.65 (define @t213 () (not @t212)) % 205.32/205.65 (define @t214 () (_ @t144 @t147 @t143)) % 205.32/205.65 (define @t215 () (not @t214)) % 205.32/205.65 (define @t216 () (or @t215 @t213 @t211 @t209)) % 205.32/205.65 (define @t217 () (not @t216)) % 205.32/205.65 (define @t218 () (@list @t216)) % 205.32/205.65 (define @t219 () (_ @t125 @t146)) % 205.32/205.65 (define @t220 () (_ @t126 @t147)) % 205.32/205.65 (define @t221 () (= @t220 @t219)) % 205.32/205.65 (define @t222 () (= @t147 @t146)) % 205.32/205.65 (define @t223 () (not @t222)) % 205.32/205.65 (define @t224 () (tptp.edge @t146)) % 205.32/205.65 (define @t225 () (tptp.edge @t147)) % 205.32/205.65 (define @t226 () (and @t225 @t224 @t223 @t221)) % 205.32/205.65 (define @t227 () (= @t210 @t226)) % 205.32/205.65 (define @t228 () (not @t226)) % 205.32/205.65 (define @t229 () (@list @t226)) % 205.32/205.65 (define @t230 () (_ @t125 @t1)) % 205.32/205.65 (define @t231 () (_ @t126 @t1)) % 205.32/205.65 (define @t232 () (not @t5)) % 205.32/205.65 (define @t233 () (forall @t6 (or @t232 (not (= @t231 @t230))))) % 205.32/205.65 (define @t234 () (_ @t126 @t146)) % 205.32/205.65 (define @t235 () (not (= @t234 @t219))) % 205.32/205.65 (define @t236 () (not @t224)) % 205.32/205.65 (define @t237 () (or @t236 @t235)) % 205.32/205.65 (define @t238 () (@list @t146)) % 205.32/205.65 (define @t239 () (= @t219 @t234)) % 205.32/205.65 (define @t240 () (not @t239)) % 205.32/205.65 (define @t241 () (or @t236 @t240)) % 205.32/205.65 (define @t242 () (@var "b_P" it_15_$$unsorted)) % 205.32/205.65 (define @t243 () (@const 13 (-> it_4_$$unsorted it_15_$$unsorted Bool))) % 205.32/205.65 (define @t244 () (@var "b_V2" it_4_$$unsorted)) % 205.32/205.65 (define @t245 () (@var "b_V1" it_4_$$unsorted)) % 205.32/205.65 (define @t246 () (not @t35)) % 205.32/205.65 (define @t247 () (or @t158 @t246 @t34)) % 205.32/205.65 (define @t248 () (and @t224 (_ @t243 @t234 @t143) (_ @t243 @t219 @t143))) % 205.32/205.65 (define @t249 () (or @t174 @t213 @t248)) % 205.32/205.65 (define @t250 () (@list false false false)) % 205.32/205.65 (define @t251 () (= @t220 @t234)) % 205.32/205.65 (define @t252 () (not @t251)) % 205.32/205.65 (define @t253 () (not @t221)) % 205.32/205.65 (define @t254 () (and @t221 @t240)) % 205.32/205.65 (define @t255 () (@list true false)) % 205.32/205.65 (define @t256 () (@var "b_V1" it_4_$$unsorted)) % 205.32/205.65 (define @t257 () (@var "b_V2" it_4_$$unsorted)) % 205.32/205.65 (define @t258 () (@const 14 (-> it_4_$$unsorted Bool))) % 205.32/205.65 (define @t259 () (forall (@list @t256 @t257) (or (not (_ @t258 @t256)) (not (_ @t258 @t257)) (= @t256 @t257) (not (forall @t6 (or @t232 (= (and (= @t231 @t256) (= @t230 @t257)) (and (= @t231 @t257) (= @t230 @t256))))))))) % 205.32/205.65 (define @t260 () (=> tptp.complete @t259)) % 205.32/205.65 (define @t261 () (and (= @t3 @t12) (= @t2 @t10))) % 205.32/205.65 (define @t262 () (and (= @t3 @t10) (= @t2 @t12))) % 205.32/205.65 (define @t263 () (not (forall @t6 (or @t232 (= @t262 @t261))))) % 205.32/205.65 (define @t264 () (not @t21)) % 205.32/205.65 (define @t265 () (not @t22)) % 205.32/205.65 (define @t266 () (or @t265 @t264 @t19 @t263)) % 205.32/205.65 (define @t267 () (not @t20)) % 205.32/205.65 (define @t268 () (or @t265 @t264 @t267)) % 205.32/205.65 (define @t269 () (xor @t262 @t261)) % 205.32/205.65 (define @t270 () (and @t5 @t269)) % 205.32/205.65 (define @t271 () (forall @t6 (not @t270))) % 205.32/205.65 (define @t272 () (not @t271)) % 205.32/205.65 (define @t273 () (_ @t125 @t147)) % 205.32/205.65 (define @t274 () (= @t234 @t273)) % 205.32/205.65 (define @t275 () (not (= @t146 @t147))) % 205.32/205.65 (define @t276 () (and @t224 @t225 @t275 @t274)) % 205.32/205.65 (define @t277 () (tptp.sequential @t146 @t147)) % 205.32/205.65 (define @t278 () (= @t277 @t276)) % 205.32/205.65 (define @t279 () (and @t224 @t225 @t223 @t274)) % 205.32/205.65 (define @t280 () (= @t277 @t279)) % 205.32/205.65 (define @t281 () (@list @t127)) % 205.32/205.65 (define @t282 () (@var "b_P" it_15_$$unsorted)) % 205.32/205.65 (define @t283 () (@var "BOUND_VARIABLE_7832" $$unsorted)) % 205.32/205.65 (define @t284 () (@var "BOUND_VARIABLE_7830" $$unsorted)) % 205.32/205.65 (define @t285 () (@const 15 (-> $$unsorted $$unsorted it_15_$$unsorted Bool))) % 205.32/205.65 (define @t286 () (@var "BOUND_VARIABLE_7834" $$unsorted)) % 205.32/205.65 (define @t287 () (not (tptp.sequential @t284 @t286))) % 205.32/205.65 (define @t288 () (not (tptp.sequential @t284 @t283))) % 205.32/205.65 (define @t289 () (@var "b_V2" it_4_$$unsorted)) % 205.32/205.65 (define @t290 () (@var "b_V1" it_4_$$unsorted)) % 205.32/205.65 (define @t291 () (tptp.precedes @t284 @t283 @t28)) % 205.32/205.65 (define @t292 () (and @t288 (or @t287 (not (tptp.precedes @t286 @t283 @t28))))) % 205.32/205.65 (define @t293 () (not (tptp.on_path @t283 @t28))) % 205.32/205.65 (define @t294 () (not (tptp.on_path @t284 @t28))) % 205.32/205.65 (define @t295 () (or @t158 @t294 @t293 @t292 @t291)) % 205.32/205.65 (define @t296 () (@list @t28 @t10 @t12 @t284 @t283 @t286)) % 205.32/205.65 (define @t297 () (or @t294 @t293 @t292 @t291)) % 205.32/205.65 (define @t298 () (or @t158 @t297)) % 205.32/205.65 (define @t299 () (forall @t296 @t298)) % 205.32/205.65 (define @t300 () (@list @t284 @t283 @t286)) % 205.32/205.65 (define @t301 () (forall @t300 @t298)) % 205.32/205.65 (define @t302 () (forall @t300 @t297)) % 205.32/205.65 (define @t303 () (@var "BOUND_VARIABLE_7815" $$unsorted)) % 205.32/205.65 (define @t304 () (or @t158 @t302)) % 205.32/205.65 (define @t305 () (or (not (tptp.sequential @t51 @t303)) (not (tptp.precedes @t303 @t50 @t28)))) % 205.32/205.65 (define @t306 () (and @t129 @t305)) % 205.32/205.65 (define @t307 () (or @t154 @t153 @t306 @t58)) % 205.32/205.65 (define @t308 () (forall (@list @t51 @t50 @t303) @t307)) % 205.32/205.65 (define @t309 () (@list @t303)) % 205.32/205.65 (define @t310 () (forall @t309 @t307)) % 205.32/205.65 (define @t311 () (forall @t309 @t305)) % 205.32/205.65 (define @t312 () (@list @t59)) % 205.32/205.65 (define @t313 () (forall @t309 @t129)) % 205.32/205.65 (define @t314 () (and @t313 @t311)) % 205.32/205.65 (define @t315 () (forall @t309 @t306)) % 205.32/205.65 (define @t316 () (or @t154 @t153 @t315 @t58)) % 205.32/205.65 (define @t317 () (forall @t63 (or (not @t61) (not @t60)))) % 205.32/205.65 (define @t318 () (and @t129 @t317)) % 205.32/205.65 (define @t319 () (or @t154 @t153 @t318 @t58)) % 205.32/205.65 (define @t320 () (not @t317)) % 205.32/205.65 (define @t321 () (or @t55 @t320)) % 205.32/205.65 (define @t322 () (not @t321)) % 205.32/205.65 (define @t323 () (or @t154 @t153 @t322)) % 205.32/205.65 (define @t324 () (and @t67 @t66 @t321)) % 205.32/205.65 (define @t325 () (forall @t63 (not @t62))) % 205.32/205.65 (define @t326 () (not @t325)) % 205.32/205.65 (define @t327 () (@var "b_P" it_15_$$unsorted)) % 205.32/205.65 (define @t328 () (@var "BOUND_VARIABLE_7875" $$unsorted)) % 205.32/205.65 (define @t329 () (@var "BOUND_VARIABLE_7873" $$unsorted)) % 205.32/205.65 (define @t330 () (not (tptp.sequential @t329 @t59))) % 205.32/205.65 (define @t331 () (not (tptp.sequential @t329 @t328))) % 205.32/205.65 (define @t332 () (@var "b_V2" it_4_$$unsorted)) % 205.32/205.65 (define @t333 () (@var "b_V1" it_4_$$unsorted)) % 205.32/205.65 (define @t334 () (and (tptp.on_path @t329 @t28) (tptp.on_path @t328 @t28) (= (not (forall @t63 (or @t330 (not (tptp.precedes @t59 @t328 @t28))))) @t331))) % 205.32/205.65 (define @t335 () (not (tptp.precedes @t329 @t328 @t28))) % 205.32/205.65 (define @t336 () (or @t158 @t335 @t334)) % 205.32/205.65 (define @t337 () (@list @t28 @t10 @t12 @t329 @t328)) % 205.32/205.65 (define @t338 () (or @t335 @t334)) % 205.32/205.65 (define @t339 () (or @t158 @t338)) % 205.32/205.65 (define @t340 () (forall @t337 @t339)) % 205.32/205.65 (define @t341 () (@list @t329 @t328)) % 205.32/205.65 (define @t342 () (forall @t341 @t339)) % 205.32/205.65 (define @t343 () (forall @t341 @t338)) % 205.32/205.65 (define @t344 () (or @t158 @t343)) % 205.32/205.65 (define @t345 () (not @t58)) % 205.32/205.65 (define @t346 () (forall @t56 (or @t345 (and @t67 @t66 (= @t320 @t129))))) % 205.32/205.65 (define @t347 () (and @t67 @t66 (= @t129 @t320))) % 205.32/205.65 (define @t348 () (or @t345 @t347)) % 205.32/205.65 (define @t349 () (and @t67 @t66 (xor @t55 @t320))) % 205.32/205.65 (define @t350 () (_ @t285 @t146 @t146 @t143)) % 205.32/205.65 (define @t351 () (not @t350)) % 205.32/205.65 (define @t352 () (or @t211 @t351)) % 205.32/205.65 (define @t353 () (and @t211 @t352)) % 205.32/205.65 (define @t354 () (not @t353)) % 205.32/205.65 (define @t355 () (_ @t285 @t147 @t146 @t143)) % 205.32/205.65 (define @t356 () (or @t174 @t215 @t213 @t353 @t355)) % 205.32/205.65 (define @t357 () (forall @t63 (or (not (tptp.sequential @t147 @t59)) (not (_ @t285 @t59 @t146 @t143))))) % 205.32/205.65 (define @t358 () (not @t357)) % 205.32/205.65 (define @t359 () (= @t211 @t358)) % 205.32/205.65 (define @t360 () (and @t214 @t212 @t359)) % 205.32/205.65 (define @t361 () (not @t355)) % 205.32/205.65 (define @t362 () (or @t174 @t361 @t360)) % 205.32/205.65 (define @t363 () (not @t359)) % 205.32/205.65 (define @t364 () (not @t277)) % 205.32/205.65 (define @t365 () (or @t364 @t361)) % 205.32/205.65 (define @t366 () (and (not (tptp.sequential @t146 @t146)) @t365)) % 205.32/205.65 (define @t367 () (or @t174 @t213 @t213 @t366 @t350)) % 205.32/205.65 (define @t368 () (@list false false true false)) % 205.32/205.65 (define @t369 () (not @t279)) % 205.32/205.65 (define @t370 () (not @t274)) % 205.32/205.65 (define @t371 () (not @t225)) % 205.32/205.65 (define @t372 () (@var "b_V" it_4_$$unsorted)) % 205.32/205.65 (define @t373 () (@var "b_P" it_15_$$unsorted)) % 205.32/205.65 (define @t374 () (@var "b_V2" it_4_$$unsorted)) % 205.32/205.65 (define @t375 () (@var "b_V1" it_4_$$unsorted)) % 205.32/205.65 (define @t376 () (= @t2 @t39)) % 205.32/205.65 (define @t377 () (= @t3 @t39)) % 205.32/205.65 (define @t378 () (and @t43 (not (forall @t6 (or @t246 (and (not @t377) (not @t376))))))) % 205.32/205.65 (define @t379 () (not @t45)) % 205.32/205.65 (define @t380 () (or @t158 @t379 @t378)) % 205.32/205.65 (define @t381 () (or @t377 @t376)) % 205.32/205.65 (define @t382 () (and @t35 @t381)) % 205.32/205.65 (define @t383 () (forall @t6 (not @t382))) % 205.32/205.65 (define @t384 () (not @t383)) % 205.32/205.65 (define @t385 () (_ @t243 @t273 @t143)) % 205.32/205.65 (define @t386 () (and @t225 (_ @t243 @t220 @t143) @t385)) % 205.32/205.65 (define @t387 () (or @t174 @t215 @t386)) % 205.32/205.65 (define @t388 () (= @t230 @t273)) % 205.32/205.65 (define @t389 () (= @t231 @t273)) % 205.32/205.65 (define @t390 () (_ @t258 @t273)) % 205.32/205.65 (define @t391 () (and @t390 (not (forall @t6 (or (not (_ @t144 @t1 @t143)) (and (not @t389) (not @t388))))))) % 205.32/205.65 (define @t392 () (not @t385)) % 205.32/205.65 (define @t393 () (or @t174 @t392 @t391)) % 205.32/205.65 (define @t394 () (_ @t258 @t234)) % 205.32/205.65 (define @t395 () (and @t394 (_ @t258 @t219))) % 205.32/205.65 (define @t396 () (or @t236 @t395)) % 205.32/205.65 (define @t397 () (forall @t6 (or @t232 (= (and (= @t231 @t234) @t388) (and @t389 (= @t230 @t234)))))) % 205.32/205.65 (define @t398 () (not @t397)) % 205.32/205.65 (define @t399 () (not @t390)) % 205.32/205.65 (define @t400 () (not @t394)) % 205.32/205.65 (define @t401 () (or @t400 @t399 @t274 @t398)) % 205.32/205.65 (define @t402 () (@quantifiers_skolemize @t397 0)) % 205.32/205.65 (define @t403 () (_ @t125 @t402)) % 205.32/205.65 (define @t404 () (= @t234 @t403)) % 205.32/205.65 (define @t405 () (_ @t126 @t402)) % 205.32/205.65 (define @t406 () (= @t273 @t405)) % 205.32/205.65 (define @t407 () (and @t406 @t404)) % 205.32/205.65 (define @t408 () (= @t273 @t403)) % 205.32/205.65 (define @t409 () (= @t234 @t405)) % 205.32/205.65 (define @t410 () (and @t409 @t408)) % 205.32/205.65 (define @t411 () (= @t410 @t407)) % 205.32/205.65 (define @t412 () (tptp.edge @t402)) % 205.32/205.65 (define @t413 () (not @t412)) % 205.32/205.65 (define @t414 () (or @t413 @t411)) % 205.32/205.65 (define @t415 () (not @t414)) % 205.32/205.65 (define @t416 () (= @t405 @t273)) % 205.32/205.65 (define @t417 () (and @t416 (= @t403 @t234))) % 205.32/205.65 (define @t418 () (and (= @t405 @t234) (= @t403 @t273))) % 205.32/205.65 (define @t419 () (= @t418 @t417)) % 205.32/205.65 (define @t420 () (or @t413 @t419)) % 205.32/205.65 (define @t421 () (not @t420)) % 205.32/205.65 (define @t422 () (@list @t414)) % 205.32/205.65 (define @t423 () (@var "b_P" it_15_$$unsorted)) % 205.32/205.65 (define @t424 () (@var "BOUND_VARIABLE_7922" $$unsorted)) % 205.32/205.65 (define @t425 () (@var "b_V2" it_4_$$unsorted)) % 205.32/205.65 (define @t426 () (@var "b_V1" it_4_$$unsorted)) % 205.32/205.65 (define @t427 () (tptp.head_of @t424)) % 205.32/205.65 (define @t428 () (tptp.tail_of @t424)) % 205.32/205.65 (define @t429 () (@list @t10 @t12 @t51 @t50 @t28 @t424)) % 205.32/205.65 (define @t430 () (not (= @t427 @t92))) % 205.32/205.65 (define @t431 () (not (= @t428 @t94))) % 205.32/205.65 (define @t432 () (or @t431 @t430)) % 205.32/205.65 (define @t433 () (and @t432 @t91)) % 205.32/205.65 (define @t434 () (or @t188 @t345 @t433)) % 205.32/205.65 (define @t435 () (forall @t429 @t434)) % 205.32/205.65 (define @t436 () (@list @t424)) % 205.32/205.65 (define @t437 () (forall @t436 @t434)) % 205.32/205.65 (define @t438 () (forall @t436 @t91)) % 205.32/205.65 (define @t439 () (forall @t436 @t432)) % 205.32/205.65 (define @t440 () (and @t439 @t438)) % 205.32/205.65 (define @t441 () (forall @t436 @t433)) % 205.32/205.65 (define @t442 () (or @t188 @t345 @t441)) % 205.32/205.65 (define @t443 () (forall @t63 (or (not @t95) (not @t93)))) % 205.32/205.65 (define @t444 () (and @t443 @t91)) % 205.32/205.65 (define @t445 () (or @t188 @t345 @t444)) % 205.32/205.65 (define @t446 () (forall @t63 (not @t96))) % 205.32/205.65 (define @t447 () (not @t446)) % 205.32/205.65 (define @t448 () (not @t409)) % 205.32/205.65 (define @t449 () (not @t408)) % 205.32/205.65 (define @t450 () (or @t449 @t448)) % 205.32/205.65 (define @t451 () (and @t450 (not (_ @t285 @t146 @t147 @t143)))) % 205.32/205.65 (define @t452 () (or @t191 @t361 @t451)) % 205.32/205.65 (define @t453 () (not @t410)) % 205.32/205.65 (define @t454 () (not @t407)) % 205.32/205.65 (define @t455 () (not @t406)) % 205.32/205.65 (define @t456 () (and @t406 @t409 @t370)) % 205.32/205.65 (define @t457 () (@list @t407)) % 205.32/205.65 (define @t458 () (not (= @t402 @t147))) % 205.32/205.65 (define @t459 () (and @t412 @t225 @t458 @t416)) % 205.32/205.65 (define @t460 () (tptp.sequential @t402 @t147)) % 205.32/205.65 (define @t461 () (= @t460 @t459)) % 205.32/205.65 (define @t462 () (= @t147 @t402)) % 205.32/205.65 (define @t463 () (not @t462)) % 205.32/205.65 (define @t464 () (and @t412 @t225 @t463 @t406)) % 205.32/205.65 (define @t465 () (= @t460 @t464)) % 205.32/205.65 (define @t466 () (and @t406 @t404 @t462)) % 205.32/205.65 (define @t467 () (not @t404)) % 205.32/205.65 (define @t468 () (@list false false false true)) % 205.32/205.65 (define @t469 () (tptp.triangle @t147 @t146 @t402)) % 205.32/205.65 (define @t470 () (not @t469)) % 205.32/205.65 (define @t471 () (tptp.sequential @t146 @t402)) % 205.32/205.65 (define @t472 () (and @t225 @t224 @t412 @t210 @t471 @t460)) % 205.32/205.65 (define @t473 () (= @t469 @t472)) % 205.32/205.65 (define @t474 () (not @t472)) % 205.32/205.65 (define @t475 () (not @t471)) % 205.32/205.65 (define @t476 () (= @t146 @t402)) % 205.32/205.65 (define @t477 () (not @t476)) % 205.32/205.65 (define @t478 () (and @t224 @t412 @t477 @t404)) % 205.32/205.65 (define @t479 () (= @t471 @t478)) % 205.32/205.65 (define @t480 () (not @t478)) % 205.32/205.65 (define @t481 () (and @t221 @t404 @t476)) % 205.32/205.65 (assume @p1 @t7) % 205.32/205.65 (assume @p2 @t9) % 205.32/205.65 (assume @p3 @t27) % 205.32/205.65 (assume @p4 (forall @t33 (=> (and @t22 @t21 (exists @t6 (and @t5 @t11 (or @t32 @t31)))) @t29))) % 205.32/205.65 (assume @p5 (forall @t33 (=> @t29 (and @t22 @t21 (exists @t6 (and @t5 @t11 (xor @t32 @t31))))))) % 205.32/205.65 (assume @p6 @t38) % 205.32/205.65 (assume @p7 @t49) % 205.32/205.65 (assume @p8 @t57) % 205.32/205.65 (assume @p9 @t73) % 205.32/205.65 (assume @p10 @t79) % 205.32/205.65 (assume @p11 @t90) % 205.32/205.65 (assume @p12 @t104) % 205.32/205.65 (assume @p13 (forall (@list @t51 @t50 @t59) (= @t105 (and @t54 @t53 (tptp.edge @t59) @t55 (tptp.sequential @t50 @t59) (tptp.sequential @t59 @t51))))) % 205.32/205.65 (assume @p14 (forall @t33 (=> @t29 (= @t80 (tptp.number_of_in tptp.edges @t28))))) % 205.32/205.65 (assume @p15 @t109) % 205.32/205.65 (assume @p16 @t117) % 205.32/205.65 (assume @p17 @t120) % 205.32/205.65 (assume @p18 @t124) % 205.32/205.65 (assume @p19 true) % 205.32/205.65 ; WARNING: add trust step for TRUST % 205.32/205.65 ; trust TRUST PREPROCESS_SORT_INFER % 205.32/205.65 (step @p20 :rule trust :premises () :args ((= @t57 @t127))) % 205.32/205.65 (step @p21 :rule eq_resolve :premises (@p8 @p20)) % 205.32/205.65 (step @p22 :rule instantiate :premises (@p21) :args ((@list @t147 @t146))) % 205.32/205.65 ; trust TRUST PREPROCESS_SORT_INFER % 205.32/205.65 (step @p23 :rule trust :premises () :args ((= (forall @t72 @t159) (forall (@list @t148 @t151 @t150) (or (not (_ @t152 @t151 @t150 @t148)) (not (forall @t56 (or (not (_ @t144 @t51 @t148)) (not (_ @t144 @t50 @t148)) @t129 @t128))) (= (_ @t132 @t149 @t148) (_ @t132 @t131 @t148))))))) % 205.32/205.65 (step @p24 :rule aci_norm :args ((= (or (or @t158 @t157) @t110) @t159))) % 205.32/205.65 (step @p25 :rule refl :args (@t110)) % 205.32/205.65 (step @p26 :rule bool-and-de-morgan :args (@t29 @t156 true)) % 205.32/205.65 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or (not @t160) @t110))) % 205.32/205.65 (step @p28 :rule trans :premises (@p27 @p24)) % 205.32/205.65 (step @p29 :rule bool-impl-elim :args (@t160 @t110)) % 205.32/205.65 (step @p30 :rule trans :premises (@p29 @p28)) % 205.32/205.65 (step @p31 :rule cong :premises (@p30) :args ((forall @t72 (=> @t160 @t110)))) % 205.32/205.65 (step @p32 :rule refl :args (@t110)) % 205.32/205.65 (step @p33 :rule aci_norm :args ((= (or @t161 @t128) @t155))) % 205.32/205.65 (step @p34 :rule refl :args (@t128)) % 205.32/205.65 (step @p35 :rule aci_norm :args ((= (or @t154 (or @t153 @t129)) @t161))) % 205.32/205.65 (step @p36 :rule bool-and-de-morgan :args (@t66 @t55 true)) % 205.32/205.65 (step @p37 :rule refl :args (@t154)) % 205.32/205.65 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t154 (not (and @t66 @t55))))) % 205.32/205.65 (step @p39 :rule bool-and-de-morgan :args (@t67 @t66 (and @t55))) % 205.32/205.65 (step @p40 :rule trans :premises (@p39 @p38)) % 205.32/205.65 (step @p41 :rule trans :premises (@p40 @p35)) % 205.32/205.65 (step @p42 :rule nary_cong :premises (@p41 @p34) :args ((or (not @t112) @t128))) % 205.32/205.65 (step @p43 :rule trans :premises (@p42 @p33)) % 205.32/205.65 (step @p44 :rule bool-impl-elim :args (@t112 @t128)) % 205.32/205.65 (step @p45 :rule trans :premises (@p44 @p43)) % 205.32/205.65 (step @p46 :rule cong :premises (@p45) :args ((forall @t56 (=> @t112 @t128)))) % 205.32/205.65 (step @p47 :rule exists-elim :args ((= @t111 @t128))) % 205.32/205.65 (step @p48 :rule refl :args (@t112)) % 205.32/205.65 (step @p49 :rule cong :premises (@p48 @p47) :args (@t113)) % 205.32/205.65 (step @p50 :rule cong :premises (@p49) :args (@t114)) % 205.32/205.65 (step @p51 :rule trans :premises (@p50 @p46)) % 205.32/205.65 (step @p52 :rule refl :args (@t29)) % 205.32/205.65 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t115)) % 205.32/205.65 (step @p54 :rule cong :premises (@p53 @p32) :args (@t116)) % 205.32/205.65 (step @p55 :rule cong :premises (@p54) :args (@t117)) % 205.32/205.65 (step @p56 :rule trans :premises (@p55 @p31)) % 205.32/205.65 (step @p57 :rule trans :premises (@p56 @p23)) % 205.32/205.65 (step @p58 :rule eq_resolve :premises (@p16 @p57)) % 205.32/205.65 (step @p59 :rule instantiate :premises (@p58) :args ((@list @t143 @t163 @t162))) % 205.32/205.65 ; trust TRUST PREPROCESS_SORT_INFER % 205.32/205.65 (step @p60 :rule trust :premises () :args ((= @t120 (forall (@list @t164 @t165) (_ @t138 (_ @t132 @t164 @t165) (_ @t132 @t164 @t130)))))) % 205.32/205.65 (step @p61 :rule eq_resolve :premises (@p17 @p60)) % 205.32/205.65 (step @p62 :rule instantiate :premises (@p61) :args ((@list @t131 @t143))) % 205.32/205.65 ; trust TRUST PREPROCESS_SORT_INFER % 205.32/205.65 (step @p63 :rule trust :premises () :args ((= (forall @t33 (or @t158 @t108)) @t169))) % 205.32/205.65 (step @p64 :rule bool-impl-elim :args (@t29 @t108)) % 205.32/205.65 (step @p65 :rule cong :premises (@p64) :args (@t109)) % 205.32/205.65 (step @p66 :rule trans :premises (@p65 @p63)) % 205.32/205.65 (step @p67 :rule eq_resolve :premises (@p15 @p66)) % 205.32/205.65 (step @p68 :rule eq-symm :args (@t170 @t172)) % 205.32/205.65 (step @p69 :rule refl :args (@t174)) % 205.32/205.65 (step @p70 :rule nary_cong :premises (@p69 @p68) :args (@t175)) % 205.32/205.65 (step @p71 :rule refl :args (@t169)) % 205.32/205.65 (step @p72 :rule cong :premises (@p71 @p70) :args ((=> @t169 @t175))) % 205.32/205.65 (assume-push @p801 @t169) % 205.32/205.65 (step @p74 :rule instantiate :premises (@p67) :args (@t176)) % 205.32/205.65 (step-pop @p802 :rule scope :premises (@p74)) % 205.32/205.65 (step @p75 :rule process_scope :premises (@p802) :args (@t175)) % 205.32/205.65 (step @p77 :rule eq_resolve :premises (@p75 @p72)) % 205.32/205.65 (step @p78 :rule implies_elim :premises (@p77)) % 205.32/205.65 (step @p79 :rule chain_m_resolution :premises (@p78 @p67) :args (@t178 @t179 (@list @t169))) % 205.32/205.65 ; trust TRUST PREPROCESS_SORT_INFER % 205.32/205.65 (step @p80 :rule trust :premises () :args ((= (forall @t89 (= @t87 (and @t85 @t20 (forall @t83 (or @t158 @t82))))) (forall (@list @t184 @t183 @t182) (= (_ @t141 @t184 @t183 @t182) (and (_ @t152 @t184 @t183 @t182) (not (= @t184 @t183)) (forall @t185 (or (not (_ @t152 @t184 @t183 @t180)) (_ @t138 (_ @t136 @t182) @t181))))))))) % 205.32/205.65 (step @p81 :rule bool-impl-elim :args (@t29 @t82)) % 205.32/205.65 (step @p82 :rule cong :premises (@p81) :args (@t84)) % 205.32/205.65 (step @p83 :rule refl :args (@t20)) % 205.32/205.65 (step @p84 :rule refl :args (@t85)) % 205.32/205.65 (step @p85 :rule nary_cong :premises (@p84 @p83 @p82) :args (@t86)) % 205.32/205.65 (step @p86 :rule refl :args (@t87)) % 205.32/205.65 (step @p87 :rule cong :premises (@p86 @p85) :args (@t88)) % 205.32/205.65 (step @p88 :rule cong :premises (@p87) :args (@t90)) % 205.32/205.65 (step @p89 :rule trans :premises (@p88 @p80)) % 205.32/205.65 (step @p90 :rule eq_resolve :premises (@p11 @p89)) % 205.32/205.65 (step @p91 :rule instantiate :premises (@p90) :args (@t176)) % 205.32/205.65 (step @p92 :rule bool-impl-true2 :args (@t142)) % 205.32/205.65 (step @p93 :rule cong :premises (@p92) :args ((not (=> true @t142)))) % 205.32/205.65 (step @p94 :rule refl :args (@t142)) % 205.32/205.65 (step @p95 :rule bool-eq-true :args (tptp.complete)) % 205.32/205.65 (step @p96 :rule symm :premises (@p95)) % 205.32/205.65 ; trust TRUST PREPROCESS_SORT_INFER % 205.32/205.65 (step @p97 :rule trust :premises () :args ((= (not (=> tptp.complete (forall @t72 (or @t188 @t121)))) @t187))) % 205.32/205.65 (step @p98 :rule bool-impl-elim :args (@t100 @t121)) % 205.32/205.65 (step @p99 :rule cong :premises (@p98) :args (@t122)) % 205.32/205.65 (step @p100 :rule refl :args (tptp.complete)) % 205.32/205.65 (step @p101 :rule cong :premises (@p100 @p99) :args (@t123)) % 205.32/205.65 (step @p102 :rule cong :premises (@p101) :args (@t124)) % 205.32/205.65 (step @p103 :rule trans :premises (@p102 @p97)) % 205.32/205.65 (step @p104 :rule eq_resolve :premises (@p18 @p103)) % 205.32/205.65 (step @p105 :rule not_implies_elim1 :premises (@p104)) % 205.32/205.65 (step @p106 :rule eq_resolve :premises (@p105 @p96)) % 205.32/205.65 (step @p107 :rule cong :premises (@p106 @p94) :args (@t186)) % 205.32/205.65 (step @p108 :rule cong :premises (@p107) :args (@t187)) % 205.32/205.65 (step @p109 :rule trans :premises (@p108 @p93)) % 205.32/205.65 (step @p110 :rule trans :premises (@p102 @p97 @p109)) % 205.32/205.65 (step @p111 :rule eq_resolve :premises (@p18 @p110)) % 205.32/205.65 (step @p112 :rule skolemize :premises (@p111)) % 205.32/205.65 (step @p113 :rule bool-double-not-elim :args (@t189)) % 205.32/205.65 (step @p114 :rule refl :args (@t192)) % 205.32/205.65 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or @t192 (not @t191)))) % 205.32/205.65 (step @p116 :rule cnf_or_neg :args (@t192 0)) % 205.32/205.65 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 205.32/205.65 (step @p118 :rule reordering :premises (@p117) :args ((or @t189 @t192))) % 205.32/205.65 (step @p119 :rule chain_m_resolution :premises (@p118 @p112) :args (@t189 @t193 @t194)) % 205.32/205.65 (step @p120 :rule cnf_equiv_pos1 :args (@t196)) % 205.32/205.65 (step @p121 :rule reordering :premises (@p120) :args ((or @t191 @t195 (not @t196)))) % 205.32/205.65 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p91) :args (@t195 @t197 (@list @t189 @t196))) % 205.32/205.65 (step @p123 :rule cnf_and_pos :args (@t195 0)) % 205.32/205.65 (step @p124 :rule reordering :premises (@p123) :args ((or @t173 (not @t195)))) % 205.32/205.65 (step @p125 :rule chain_m_resolution :premises (@p124 @p122) :args (@t173 @t179 (@list @t195))) % 205.32/205.65 (step @p126 :rule cnf_or_pos :args (@t178)) % 205.32/205.65 (step @p127 :rule reordering :premises (@p126) :args ((or @t174 @t177 (not @t178)))) % 205.32/205.65 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p79) :args (@t177 @t197 (@list @t173 @t178))) % 205.32/205.65 (step @p129 :rule cnf_or_neg :args (@t192 1)) % 205.32/205.65 (step @p130 :rule chain_m_resolution :premises (@p129 @p112) :args (@t198 @t193 @t194)) % 205.32/205.65 (step @p131 :rule refl :args (@t201)) % 205.32/205.65 (step @p132 :rule refl :args (@t203)) % 205.32/205.65 (step @p133 :rule refl :args (@t204)) % 205.32/205.65 (step @p134 :rule bool-double-not-elim :args (@t190)) % 205.32/205.65 (step @p135 :rule nary_cong :premises (@p134 @p133 @p132 @p131) :args ((or (not @t198) @t204 @t203 @t201))) % 205.32/205.65 (assume-push @p803 @t198) % 205.32/205.65 (assume-push @p804 @t177) % 205.32/205.65 (assume-push @p805 @t202) % 205.32/205.65 (assume-push @p806 @t200) % 205.32/205.65 (step @p140 :rule evaluate :args ((= true false))) % 205.32/205.65 (step @p141 :rule false_intro :premises (@p130)) % 205.32/205.65 (step @p142 :rule refl :args (@t133)) % 205.32/205.65 (step @p143 :rule symm :premises (@p128)) % 205.32/205.65 (step @p144 :rule symm :premises (@p805)) % 205.32/205.65 (step @p145 :rule trans :premises (@p144 @p143)) % 205.32/205.65 (step @p146 :rule cong :premises (@p145 @p142) :args (@t200)) % 205.32/205.65 (step @p147 :rule true_intro :premises (@p62)) % 205.32/205.65 (step @p148 :rule symm :premises (@p147)) % 205.32/205.65 (step @p149 :rule trans :premises (@p148 @p146 @p141)) % 205.32/205.65 (step @p150 false :rule eq_resolve :premises (@p149 @p140)) % 205.32/205.65 (step-pop @p807 :rule scope :premises (@p150)) % 205.32/205.65 (step-pop @p808 :rule scope :premises (@p807)) % 205.32/205.65 (step-pop @p809 :rule scope :premises (@p808)) % 205.32/205.65 (step-pop @p810 :rule scope :premises (@p809)) % 205.32/205.65 (step @p151 :rule process_scope :premises (@p810) :args (false)) % 205.32/205.65 (step @p156 :rule not_and :premises (@p151)) % 205.32/205.65 (step @p157 :rule eq_resolve :premises (@p156 @p135)) % 205.32/205.65 (step @p158 :rule chain_m_resolution :premises (@p157 @p130 @p128 @p62) :args (@t203 (@list true false false) (@list @t190 @t177 @t200))) % 205.32/205.65 (step @p159 :rule cnf_or_pos :args (@t206)) % 205.32/205.65 (step @p160 :rule reordering :premises (@p159) :args ((or @t174 @t205 @t202 (not @t206)))) % 205.32/205.65 (step @p161 :rule chain_m_resolution :premises (@p160 @p125 @p158 @p59) :args (@t205 @t207 (@list @t173 @t202 @t206))) % 205.32/205.65 (step @p162 :rule refl :args (@t217)) % 205.32/205.65 (step @p163 :rule bool-double-not-elim :args (@t145)) % 205.32/205.65 (step @p164 :rule nary_cong :premises (@p163 @p162) :args ((or (not @t205) @t217))) % 205.32/205.65 (assume-push @p811 @t205) % 205.32/205.65 (step @p166 :rule skolemize :premises (@p811)) % 205.32/205.65 (step-pop @p812 :rule scope :premises (@p166)) % 205.32/205.65 (step @p167 :rule process_scope :premises (@p812) :args (@t217)) % 205.32/205.65 (step @p169 :rule implies_elim :premises (@p167)) % 205.32/205.65 (step @p170 :rule eq_resolve :premises (@p169 @p164)) % 205.32/205.65 (step @p171 :rule chain_m_resolution :premises (@p170 @p161) :args (@t217 @t193 (@list @t145))) % 205.32/205.65 (step @p172 :rule bool-double-not-elim :args (@t210)) % 205.32/205.65 (step @p173 :rule refl :args (@t216)) % 205.32/205.65 (step @p174 :rule nary_cong :premises (@p173 @p172) :args ((or @t216 (not @t211)))) % 205.32/205.65 (step @p175 :rule cnf_or_neg :args (@t216 2)) % 205.32/205.65 (step @p176 :rule eq_resolve :premises (@p175 @p174)) % 205.32/205.65 (step @p177 :rule reordering :premises (@p176) :args ((or @t210 @t216))) % 205.32/205.65 (step @p178 :rule chain_m_resolution :premises (@p177 @p171) :args (@t210 @t193 @t218)) % 205.32/205.65 (step @p179 :rule cnf_equiv_pos1 :args (@t227)) % 205.32/205.65 (step @p180 :rule reordering :premises (@p179) :args ((or @t211 @t226 (not @t227)))) % 205.32/205.65 (step @p181 :rule chain_m_resolution :premises (@p180 @p178 @p22) :args (@t226 @t197 (@list @t210 @t227))) % 205.32/205.65 (step @p182 :rule cnf_and_pos :args (@t226 3)) % 205.32/205.65 (step @p183 :rule reordering :premises (@p182) :args ((or @t221 @t228))) % 205.32/205.65 (step @p184 :rule chain_m_resolution :premises (@p183 @p181) :args (@t221 @t179 @t229)) % 205.32/205.65 ; trust TRUST PREPROCESS_SORT_INFER % 205.32/205.65 (step @p185 :rule trust :premises () :args ((= (forall @t6 (or @t232 @t4)) @t233))) % 205.32/205.65 (step @p186 :rule bool-impl-elim :args (@t5 @t4)) % 205.32/205.65 (step @p187 :rule cong :premises (@p186) :args (@t7)) % 205.32/205.65 (step @p188 :rule trans :premises (@p187 @p185)) % 205.32/205.65 (step @p189 :rule eq_resolve :premises (@p1 @p188)) % 205.32/205.65 (step @p190 :rule eq-symm :args (@t234 @t219)) % 205.32/205.65 (step @p191 :rule cong :premises (@p190) :args (@t235)) % 205.32/205.65 (step @p192 :rule refl :args (@t236)) % 205.32/205.65 (step @p193 :rule nary_cong :premises (@p192 @p191) :args (@t237)) % 205.32/205.65 (step @p194 :rule refl :args (@t233)) % 205.32/205.65 (step @p195 :rule cong :premises (@p194 @p193) :args ((=> @t233 @t237))) % 205.32/205.65 (assume-push @p813 @t233) % 205.32/205.65 (step @p197 :rule instantiate :premises (@p189) :args (@t238)) % 205.32/205.65 (step-pop @p814 :rule scope :premises (@p197)) % 205.32/205.65 (step @p198 :rule process_scope :premises (@p814) :args (@t237)) % 205.32/205.65 (step @p200 :rule eq_resolve :premises (@p198 @p195)) % 205.32/205.65 (step @p201 :rule implies_elim :premises (@p200)) % 205.32/205.65 (step @p202 :rule chain_m_resolution :premises (@p201 @p189) :args (@t241 @t179 (@list @t233))) % 205.32/205.65 ; trust TRUST PREPROCESS_SORT_INFER % 205.32/205.65 (step @p203 :rule trust :premises () :args ((= (forall @t37 @t247) (forall (@list @t245 @t244 @t242 @t1) (or (not (_ @t152 @t245 @t244 @t242)) (not (_ @t144 @t1 @t242)) (and @t5 (_ @t243 @t231 @t242) (_ @t243 @t230 @t242))))))) % 205.32/205.65 (step @p204 :rule aci_norm :args ((= (or (or @t158 @t246) @t34) @t247))) % 205.32/205.65 (step @p205 :rule refl :args (@t34)) % 205.32/205.65 (step @p206 :rule bool-and-de-morgan :args (@t29 @t35 true)) % 205.32/205.65 (step @p207 :rule nary_cong :premises (@p206 @p205) :args ((or (not @t36) @t34))) % 205.32/205.65 (step @p208 :rule trans :premises (@p207 @p204)) % 205.32/205.65 (step @p209 :rule bool-impl-elim :args (@t36 @t34)) % 205.32/205.65 (step @p210 :rule trans :premises (@p209 @p208)) % 205.32/205.65 (step @p211 :rule cong :premises (@p210) :args (@t38)) % 205.32/205.65 (step @p212 :rule trans :premises (@p211 @p203)) % 205.32/205.65 (step @p213 :rule eq_resolve :premises (@p6 @p212)) % 205.32/205.65 (step @p214 :rule instantiate :premises (@p213) :args ((@list @t163 @t162 @t143 @t146))) % 205.32/205.65 (step @p215 :rule bool-double-not-elim :args (@t212)) % 205.32/205.65 (step @p216 :rule nary_cong :premises (@p173 @p215) :args ((or @t216 (not @t213)))) % 205.32/205.65 (step @p217 :rule cnf_or_neg :args (@t216 1)) % 205.32/205.65 (step @p218 :rule eq_resolve :premises (@p217 @p216)) % 205.32/205.65 (step @p219 :rule reordering :premises (@p218) :args ((or @t212 @t216))) % 205.32/205.65 (step @p220 :rule chain_m_resolution :premises (@p219 @p171) :args (@t212 @t193 @t218)) % 205.32/205.65 (step @p221 :rule cnf_or_pos :args (@t249)) % 205.32/205.65 (step @p222 :rule reordering :premises (@p221) :args ((or @t174 @t213 @t248 (not @t249)))) % 205.32/205.65 (step @p223 :rule chain_m_resolution :premises (@p222 @p125 @p220 @p214) :args (@t248 @t250 (@list @t173 @t212 @t249))) % 205.32/205.65 (step @p224 :rule cnf_and_pos :args (@t248 0)) % 205.32/205.65 (step @p225 :rule reordering :premises (@p224) :args ((or @t224 (not @t248)))) % 205.32/205.65 (step @p226 :rule chain_m_resolution :premises (@p225 @p223) :args (@t224 @t179 (@list @t248))) % 205.32/205.65 (step @p227 :rule cnf_or_pos :args (@t241)) % 205.32/205.65 (step @p228 :rule reordering :premises (@p227) :args ((or @t236 @t240 (not @t241)))) % 205.32/205.65 (step @p229 :rule chain_m_resolution :premises (@p228 @p226 @p202) :args (@t240 @t197 (@list @t224 @t241))) % 205.32/205.65 (step @p230 :rule refl :args (@t252)) % 205.32/205.65 (step @p231 :rule bool-double-not-elim :args (@t239)) % 205.32/205.65 (step @p232 :rule refl :args (@t253)) % 205.32/205.65 (step @p233 :rule nary_cong :premises (@p232 @p231 @p230) :args ((or @t253 (not @t240) @t252))) % 205.32/205.65 (assume-push @p815 @t221) % 205.32/205.65 (assume-push @p816 @t240) % 205.32/205.65 (assume-push @p817 @t221) % 205.32/205.65 (assume-push @p818 @t240) % 205.32/205.65 (step @p238 :rule false_intro :premises (@p816)) % 205.32/205.65 (step @p239 :rule refl :args (@t234)) % 205.32/205.65 (step @p240 :rule cong :premises (@p815 @p239) :args (@t251)) % 205.32/205.65 (step @p241 :rule trans :premises (@p240 @p238)) % 205.32/205.65 (step @p242 :rule false_elim :premises (@p241)) % 205.32/205.65 (step-pop @p819 :rule scope :premises (@p242)) % 205.32/205.65 (step-pop @p820 :rule scope :premises (@p819)) % 205.32/205.65 (step @p243 :rule process_scope :premises (@p820) :args (@t252)) % 205.32/205.65 (step @p246 :rule and_intro :premises (@p815 @p816)) % 205.32/205.65 (step @p247 :rule modus_ponens :premises (@p246 @p243)) % 205.32/205.65 (step-pop @p821 :rule scope :premises (@p247)) % 205.32/205.65 (step-pop @p822 :rule scope :premises (@p821)) % 205.32/205.65 (step @p248 :rule process_scope :premises (@p822) :args (@t252)) % 205.32/205.65 (step @p251 :rule implies_elim :premises (@p248)) % 205.32/205.65 (step @p252 :rule cnf_and_neg :args (@t254)) % 205.32/205.65 (step @p253 :rule resolution :premises (@p252 @p251) :args (true @t254)) % 205.32/205.65 (step @p254 :rule eq_resolve :premises (@p253 @p233)) % 205.32/205.65 (step @p255 :rule chain_m_resolution :premises (@p254 @p229 @p184) :args (@t252 @t255 (@list @t239 @t221))) % 205.32/205.65 (step @p256 :rule bool-impl-true2 :args (@t259)) % 205.32/205.65 (step @p257 :rule refl :args (@t259)) % 205.32/205.65 (step @p258 :rule cong :premises (@p106 @p257) :args (@t260)) % 205.32/205.65 (step @p259 :rule trans :premises (@p258 @p256)) % 205.32/205.65 ; trust TRUST PREPROCESS_SORT_INFER % 205.32/205.65 (step @p260 :rule trust :premises () :args ((= (=> tptp.complete (forall @t25 @t266)) @t260))) % 205.32/205.65 (step @p261 :rule aci_norm :args ((= (or (or @t265 @t264 @t19) @t263) @t266))) % 205.32/205.65 (step @p262 :rule refl :args (@t263)) % 205.32/205.65 (step @p263 :rule bool-double-not-elim :args (@t19)) % 205.32/205.65 (step @p264 :rule refl :args (@t264)) % 205.32/205.65 (step @p265 :rule refl :args (@t265)) % 205.32/205.65 (step @p266 :rule nary_cong :premises (@p265 @p264 @p263) :args (@t268)) % 205.32/205.65 (step @p267 :rule aci_norm :args ((= (or @t265 (or @t264 @t267)) @t268))) % 205.32/205.65 (step @p268 :rule trans :premises (@p267 @p266)) % 205.32/205.65 (step @p269 :rule bool-and-de-morgan :args (@t21 @t20 true)) % 205.32/205.65 (step @p270 :rule nary_cong :premises (@p265 @p269) :args ((or @t265 (not (and @t21 @t20))))) % 205.32/205.65 (step @p271 :rule bool-and-de-morgan :args (@t22 @t21 (and @t20))) % 205.32/205.65 (step @p272 :rule trans :premises (@p271 @p270)) % 205.32/205.65 (step @p273 :rule trans :premises (@p272 @p268)) % 205.32/205.65 (step @p274 :rule nary_cong :premises (@p273 @p262) :args ((or (not @t23) @t263))) % 205.32/205.65 (step @p275 :rule trans :premises (@p274 @p261)) % 205.32/205.65 (step @p276 :rule bool-impl-elim :args (@t23 @t263)) % 205.32/205.65 (step @p277 :rule trans :premises (@p276 @p275)) % 205.32/205.65 (step @p278 :rule cong :premises (@p277) :args ((forall @t25 (=> @t23 @t263)))) % 205.32/205.65 (step @p279 :rule bool-not-xor-elim :args (@t262 @t261)) % 205.32/205.65 (step @p280 :rule refl :args (@t232)) % 205.32/205.65 (step @p281 :rule nary_cong :premises (@p280 @p279) :args ((or @t232 (not @t269)))) % 205.32/205.65 (step @p282 :rule bool-and-de-morgan :args (@t5 @t269 true)) % 205.32/205.65 (step @p283 :rule trans :premises (@p282 @p281)) % 205.32/205.65 (step @p284 :rule cong :premises (@p283) :args (@t271)) % 205.32/205.65 (step @p285 :rule cong :premises (@p284) :args (@t272)) % 205.32/205.65 (step @p286 :rule exists-elim :args ((= (exists @t6 @t270) @t272))) % 205.32/205.65 (step @p287 :rule trans :premises (@p286 @p285)) % 205.32/205.65 (step @p288 :rule eq-symm :args (@t10 @t2)) % 205.32/205.65 (step @p289 :rule eq-symm :args (@t12 @t3)) % 205.32/205.65 (step @p290 :rule nary_cong :premises (@p289 @p288) :args (@t14)) % 205.32/205.65 (step @p291 :rule eq-symm :args (@t12 @t2)) % 205.32/205.65 (step @p292 :rule eq-symm :args (@t10 @t3)) % 205.32/205.65 (step @p293 :rule nary_cong :premises (@p292 @p291) :args (@t15)) % 205.32/205.65 (step @p294 :rule cong :premises (@p293 @p290) :args (@t16)) % 205.32/205.65 (step @p295 :rule refl :args (@t5)) % 205.32/205.65 (step @p296 :rule nary_cong :premises (@p295 @p294) :args (@t17)) % 205.32/205.65 (step @p297 :rule cong :premises (@p296) :args (@t18)) % 205.32/205.65 (step @p298 :rule trans :premises (@p297 @p287)) % 205.32/205.65 (step @p299 :rule refl :args (@t23)) % 205.32/205.65 (step @p300 :rule cong :premises (@p299 @p298) :args (@t24)) % 205.32/205.65 (step @p301 :rule cong :premises (@p300) :args (@t26)) % 205.32/205.65 (step @p302 :rule trans :premises (@p301 @p278)) % 205.32/205.65 (step @p303 :rule cong :premises (@p100 @p302) :args (@t27)) % 205.32/205.65 (step @p304 :rule trans :premises (@p303 @p260 @p259)) % 205.32/205.65 (step @p305 :rule eq_resolve :premises (@p3 @p304)) % 205.32/205.65 (step @p306 :rule instantiate :premises (@p305) :args ((@list @t234 @t273))) % 205.32/205.65 (step @p307 :rule refl :args (@t274)) % 205.32/205.65 (step @p308 :rule eq-symm :args (@t146 @t147)) % 205.32/205.65 (step @p309 :rule cong :premises (@p308) :args (@t275)) % 205.32/205.65 (step @p310 :rule refl :args (@t225)) % 205.32/205.65 (step @p311 :rule refl :args (@t224)) % 205.32/205.65 (step @p312 :rule nary_cong :premises (@p311 @p310 @p309 @p307) :args (@t276)) % 205.32/205.65 (step @p313 :rule refl :args (@t277)) % 205.32/205.65 (step @p314 :rule cong :premises (@p313 @p312) :args (@t278)) % 205.32/205.65 (step @p315 :rule refl :args (@t127)) % 205.32/205.65 (step @p316 :rule cong :premises (@p315 @p314) :args ((=> @t127 @t278))) % 205.32/205.65 (assume-push @p823 @t127) % 205.32/205.65 (step @p318 :rule instantiate :premises (@p21) :args ((@list @t146 @t147))) % 205.32/205.65 (step-pop @p824 :rule scope :premises (@p318)) % 205.32/205.65 (step @p319 :rule process_scope :premises (@p824) :args (@t278)) % 205.32/205.65 (step @p321 :rule eq_resolve :premises (@p319 @p316)) % 205.32/205.65 (step @p322 :rule implies_elim :premises (@p321)) % 205.32/205.65 (step @p323 :rule chain_m_resolution :premises (@p322 @p21) :args (@t280 @t179 @t281)) % 205.32/205.65 ; trust TRUST PREPROCESS_SORT_INFER % 205.32/205.65 (step @p324 :rule trust :premises () :args ((= (forall @t296 @t295) (forall (@list @t282 @t290 @t289 @t284 @t283 @t286) (or (not (_ @t152 @t290 @t289 @t282)) (not (_ @t144 @t284 @t282)) (not (_ @t144 @t283 @t282)) (and @t288 (or @t287 (not (_ @t285 @t286 @t283 @t282)))) (_ @t285 @t284 @t283 @t282)))))) % 205.32/205.65 (step @p325 :rule aci_norm :args ((= @t298 @t295))) % 205.32/205.65 (step @p326 :rule cong :premises (@p325) :args (@t299)) % 205.32/205.65 (step @p327 :rule quant-merge-prenex :args ((= (forall @t72 @t301) @t299))) % 205.32/205.65 (step @p328 :rule alpha_equiv :args (@t302 (@list @t284 @t283 @t286) (@list @t51 @t50 @t303))) % 205.32/205.65 (step @p329 :rule refl :args (@t158)) % 205.32/205.65 (step @p330 :rule nary_cong :premises (@p329 @p328) :args (@t304)) % 205.32/205.65 (step @p331 :rule quant-miniscope-or :args ((= @t301 @t304))) % 205.32/205.65 (step @p332 :rule trans :premises (@p331 @p330)) % 205.32/205.65 (step @p333 :rule symm :premises (@p332)) % 205.32/205.65 (step @p334 :rule cong :premises (@p333) :args ((forall @t72 (or @t158 @t308)))) % 205.32/205.65 (step @p335 :rule trans :premises (@p334 @p327)) % 205.32/205.65 (step @p336 :rule trans :premises (@p335 @p326)) % 205.32/205.65 (step @p337 :rule bool-impl-elim :args (@t29 @t308)) % 205.32/205.65 (step @p338 :rule cong :premises (@p337) :args ((forall @t72 (=> @t29 @t308)))) % 205.32/205.65 (step @p339 :rule trans :premises (@p338 @p336)) % 205.32/205.65 (step @p340 :rule quant-merge-prenex :args ((= (forall @t56 @t310) @t308))) % 205.32/205.65 (step @p341 :rule refl :args (@t58)) % 205.32/205.65 (step @p342 :rule alpha_equiv :args (@t311 (@list @t303) @t312)) % 205.32/205.65 (step @p343 :rule quant-unused-vars :args ((= @t313 @t129))) % 205.32/205.65 (step @p344 :rule nary_cong :premises (@p343 @p342) :args (@t314)) % 205.32/205.65 (step @p345 :rule quant-miniscope-and :args ((= @t315 @t314))) % 205.32/205.65 (step @p346 :rule trans :premises (@p345 @p344)) % 205.32/205.65 (step @p347 :rule refl :args (@t153)) % 205.32/205.65 (step @p348 :rule nary_cong :premises (@p37 @p347 @p346 @p341) :args (@t316)) % 205.32/205.65 (step @p349 :rule quant-miniscope-or :args ((= @t310 @t316))) % 205.32/205.65 (step @p350 :rule trans :premises (@p349 @p348)) % 205.32/205.65 (step @p351 :rule symm :premises (@p350)) % 205.32/205.65 (step @p352 :rule cong :premises (@p351) :args ((forall @t56 @t319))) % 205.32/205.65 (step @p353 :rule trans :premises (@p352 @p340)) % 205.32/205.65 (step @p354 :rule aci_norm :args ((= (or (or @t154 @t153 @t318) @t58) @t319))) % 205.32/205.65 (step @p355 :rule bool-double-not-elim :args (@t317)) % 205.32/205.65 (step @p356 :rule refl :args (@t129)) % 205.32/205.65 (step @p357 :rule nary_cong :premises (@p356 @p355) :args ((and @t129 (not @t320)))) % 205.32/205.65 (step @p358 :rule bool-or-de-morgan :args (@t55 @t320 false)) % 205.32/205.65 (step @p359 :rule trans :premises (@p358 @p357)) % 205.32/205.65 (step @p360 :rule nary_cong :premises (@p37 @p347 @p359) :args (@t323)) % 205.32/205.65 (step @p361 :rule aci_norm :args ((= (or @t154 (or @t153 @t322)) @t323))) % 205.32/205.65 (step @p362 :rule bool-and-de-morgan :args (@t66 @t321 true)) % 205.32/205.65 (step @p363 :rule nary_cong :premises (@p37 @p362) :args ((or @t154 (not (and @t66 @t321))))) % 205.32/205.65 (step @p364 :rule bool-and-de-morgan :args (@t67 @t66 (and @t321))) % 205.32/205.65 (step @p365 :rule trans :premises (@p364 @p363)) % 205.32/205.65 (step @p366 :rule trans :premises (@p365 @p361)) % 205.32/205.65 (step @p367 :rule trans :premises (@p366 @p360)) % 205.32/205.65 (step @p368 :rule nary_cong :premises (@p367 @p341) :args ((or (not @t324) @t58))) % 205.32/205.65 (step @p369 :rule trans :premises (@p368 @p354)) % 205.32/205.65 (step @p370 :rule bool-impl-elim :args (@t324 @t58)) % 205.32/205.65 (step @p371 :rule trans :premises (@p370 @p369)) % 205.32/205.65 (step @p372 :rule cong :premises (@p371) :args ((forall @t56 (=> @t324 @t58)))) % 205.32/205.65 (step @p373 :rule trans :premises (@p372 @p353)) % 205.32/205.65 (step @p374 :rule refl :args (@t58)) % 205.32/205.65 (step @p375 :rule bool-and-de-morgan :args (@t61 @t60 true)) % 205.32/205.65 (step @p376 :rule cong :premises (@p375) :args (@t325)) % 205.32/205.65 (step @p377 :rule cong :premises (@p376) :args (@t326)) % 205.32/205.65 (step @p378 :rule exists-elim :args ((= @t64 @t326))) % 205.32/205.65 (step @p379 :rule trans :premises (@p378 @p377)) % 205.32/205.65 (step @p380 :rule refl :args (@t55)) % 205.32/205.65 (step @p381 :rule nary_cong :premises (@p380 @p379) :args (@t65)) % 205.32/205.65 (step @p382 :rule refl :args (@t66)) % 205.32/205.65 (step @p383 :rule refl :args (@t67)) % 205.32/205.65 (step @p384 :rule nary_cong :premises (@p383 @p382 @p381) :args (@t68)) % 205.32/205.65 (step @p385 :rule cong :premises (@p384 @p374) :args (@t69)) % 205.32/205.65 (step @p386 :rule cong :premises (@p385) :args (@t70)) % 205.32/205.65 (step @p387 :rule trans :premises (@p386 @p373)) % 205.32/205.65 (step @p388 :rule cong :premises (@p52 @p387) :args (@t71)) % 205.32/205.65 (step @p389 :rule cong :premises (@p388) :args (@t73)) % 205.32/205.65 (step @p390 :rule trans :premises (@p389 @p339)) % 205.32/205.65 (step @p391 :rule trans :premises (@p390 @p324)) % 205.32/205.65 (step @p392 :rule eq_resolve :premises (@p9 @p391)) % 205.32/205.65 (step @p393 :rule instantiate :premises (@p392) :args ((@list @t143 @t163 @t162 @t146 @t146 @t147))) % 205.32/205.65 ; trust TRUST PREPROCESS_SORT_INFER % 205.32/205.65 (step @p394 :rule trust :premises () :args ((= (forall @t337 @t336) (forall (@list @t327 @t333 @t332 @t329 @t328) (or (not (_ @t152 @t333 @t332 @t327)) (not (_ @t285 @t329 @t328 @t327)) (and (_ @t144 @t329 @t327) (_ @t144 @t328 @t327) (= @t331 (not (forall @t63 (or @t330 (not (_ @t285 @t59 @t328 @t327)))))))))))) % 205.32/205.65 (step @p395 :rule aci_norm :args ((= @t339 @t336))) % 205.32/205.65 (step @p396 :rule cong :premises (@p395) :args (@t340)) % 205.32/205.65 (step @p397 :rule quant-merge-prenex :args ((= (forall @t72 @t342) @t340))) % 205.32/205.65 (step @p398 :rule alpha_equiv :args (@t343 (@list @t329 @t328) (@list @t51 @t50))) % 205.32/205.65 (step @p399 :rule nary_cong :premises (@p329 @p398) :args (@t344)) % 205.32/205.65 (step @p400 :rule quant-miniscope-or :args ((= @t342 @t344))) % 205.32/205.65 (step @p401 :rule trans :premises (@p400 @p399)) % 205.32/205.65 (step @p402 :rule symm :premises (@p401)) % 205.32/205.65 (step @p403 :rule cong :premises (@p402) :args ((forall @t72 (or @t158 @t346)))) % 205.32/205.65 (step @p404 :rule trans :premises (@p403 @p397)) % 205.32/205.65 (step @p405 :rule trans :premises (@p404 @p396)) % 205.32/205.65 (step @p406 :rule bool-impl-elim :args (@t29 @t346)) % 205.32/205.65 (step @p407 :rule cong :premises (@p406) :args ((forall @t72 (=> @t29 @t346)))) % 205.32/205.65 (step @p408 :rule trans :premises (@p407 @p405)) % 205.32/205.65 (step @p409 :rule eq-symm :args (@t129 @t320)) % 205.32/205.65 (step @p410 :rule nary_cong :premises (@p383 @p382 @p409) :args (@t347)) % 205.32/205.65 (step @p411 :rule refl :args (@t345)) % 205.32/205.65 (step @p412 :rule nary_cong :premises (@p411 @p410) :args (@t348)) % 205.32/205.65 (step @p413 :rule cong :premises (@p412) :args ((forall @t56 @t348))) % 205.32/205.65 (step @p414 :rule bool-xor-elim :args (@t55 @t320)) % 205.32/205.65 (step @p415 :rule refl :args (@t66)) % 205.32/205.65 (step @p416 :rule refl :args (@t67)) % 205.32/205.65 (step @p417 :rule nary_cong :premises (@p416 @p415 @p414) :args (@t349)) % 205.32/205.65 (step @p418 :rule refl :args (@t345)) % 205.32/205.65 (step @p419 :rule nary_cong :premises (@p418 @p417) :args ((or @t345 @t349))) % 205.32/205.65 (step @p420 :rule bool-impl-elim :args (@t58 @t349)) % 205.32/205.65 (step @p421 :rule trans :premises (@p420 @p419)) % 205.32/205.65 (step @p422 :rule cong :premises (@p421) :args ((forall @t56 (=> @t58 @t349)))) % 205.32/205.65 (step @p423 :rule trans :premises (@p422 @p413)) % 205.32/205.65 (step @p424 :rule cong :premises (@p380 @p379) :args (@t74)) % 205.32/205.65 (step @p425 :rule nary_cong :premises (@p383 @p382 @p424) :args (@t75)) % 205.32/205.65 (step @p426 :rule cong :premises (@p374 @p425) :args (@t76)) % 205.32/205.65 (step @p427 :rule cong :premises (@p426) :args (@t77)) % 205.32/205.65 (step @p428 :rule trans :premises (@p427 @p423)) % 205.32/205.65 (step @p429 :rule cong :premises (@p52 @p428) :args (@t78)) % 205.32/205.65 (step @p430 :rule cong :premises (@p429) :args (@t79)) % 205.32/205.65 (step @p431 :rule trans :premises (@p430 @p408)) % 205.32/205.65 (step @p432 :rule trans :premises (@p431 @p394)) % 205.32/205.65 (step @p433 :rule eq_resolve :premises (@p10 @p432)) % 205.32/205.65 (step @p434 :rule instantiate :premises (@p433) :args ((@list @t143 @t163 @t162 @t147 @t146))) % 205.32/205.65 (step @p435 :rule instantiate :premises (@p392) :args ((@list @t143 @t163 @t162 @t147 @t146 @t146))) % 205.32/205.65 (step @p436 :rule cnf_and_pos :args (@t353 0)) % 205.32/205.65 (step @p437 :rule reordering :premises (@p436) :args ((or @t211 @t354))) % 205.32/205.65 (step @p438 :rule chain_m_resolution :premises (@p437 @p178) :args (@t354 @t179 (@list @t210))) % 205.32/205.65 (step @p439 :rule bool-double-not-elim :args (@t214)) % 205.32/205.65 (step @p440 :rule nary_cong :premises (@p173 @p439) :args ((or @t216 (not @t215)))) % 205.32/205.65 (step @p441 :rule cnf_or_neg :args (@t216 0)) % 205.32/205.65 (step @p442 :rule eq_resolve :premises (@p441 @p440)) % 205.32/205.65 (step @p443 :rule reordering :premises (@p442) :args ((or @t214 @t216))) % 205.32/205.65 (step @p444 :rule chain_m_resolution :premises (@p443 @p171) :args (@t214 @t193 @t218)) % 205.32/205.65 (step @p445 :rule cnf_or_pos :args (@t356)) % 205.32/205.65 (step @p446 :rule reordering :premises (@p445) :args ((or @t174 @t215 @t213 @t353 @t355 (not @t356)))) % 205.32/205.65 (step @p447 :rule chain_m_resolution :premises (@p446 @p125 @p444 @p220 @p438 @p435) :args (@t355 (@list false false false true false) (@list @t173 @t214 @t212 @t353 @t356))) % 205.32/205.65 (step @p448 :rule cnf_or_pos :args (@t362)) % 205.32/205.65 (step @p449 :rule reordering :premises (@p448) :args ((or @t174 @t361 @t360 (not @t362)))) % 205.32/205.65 (step @p450 :rule chain_m_resolution :premises (@p449 @p125 @p447 @p434) :args (@t360 @t250 (@list @t173 @t355 @t362))) % 205.32/205.65 (step @p451 :rule cnf_and_pos :args (@t360 2)) % 205.32/205.65 (step @p452 :rule reordering :premises (@p451) :args ((or @t359 (not @t360)))) % 205.32/205.65 (step @p453 :rule chain_m_resolution :premises (@p452 @p450) :args (@t359 @t179 (@list @t360))) % 205.32/205.65 (step @p454 :rule bool-double-not-elim :args (@t357)) % 205.32/205.65 (step @p455 :rule refl :args (@t211)) % 205.32/205.65 (step @p456 :rule refl :args (@t363)) % 205.32/205.65 (step @p457 :rule nary_cong :premises (@p456 @p455 @p454) :args ((or @t363 @t211 (not @t358)))) % 205.32/205.65 (step @p458 :rule cnf_equiv_pos2 :args (@t359)) % 205.32/205.65 (step @p459 :rule eq_resolve :premises (@p458 @p457)) % 205.32/205.65 (step @p460 :rule reordering :premises (@p459) :args ((or @t211 @t357 @t363))) % 205.32/205.65 (step @p461 :rule chain_m_resolution :premises (@p460 @p178 @p453) :args (@t357 @t197 (@list @t210 @t359))) % 205.32/205.65 (assume-push @p825 @t357) % 205.32/205.65 (step @p463 :rule instantiate :premises (@p825) :args (@t238)) % 205.32/205.65 (step-pop @p826 :rule scope :premises (@p463)) % 205.32/205.65 (step @p464 :rule process_scope :premises (@p826) :args (@t352)) % 205.32/205.65 (step @p466 :rule implies_elim :premises (@p464)) % 205.32/205.65 (step @p467 :rule reordering :premises (@p466) :args ((or @t352 @t358))) % 205.32/205.65 (step @p468 :rule chain_m_resolution :premises (@p467 @p461) :args (@t352 @t179 (@list @t357))) % 205.32/205.65 (step @p469 :rule cnf_or_pos :args (@t352)) % 205.32/205.65 (step @p470 :rule reordering :premises (@p469) :args ((or @t211 @t351 (not @t352)))) % 205.32/205.65 (step @p471 :rule chain_m_resolution :premises (@p470 @p178 @p468) :args (@t351 @t197 (@list @t210 @t352))) % 205.32/205.65 (step @p472 :rule cnf_or_pos :args (@t367)) % 205.32/205.65 (step @p473 :rule factoring :premises (@p472)) % 205.32/205.65 (step @p474 :rule reordering :premises (@p473) :args ((or @t174 @t213 @t350 @t366 (not @t367)))) % 205.32/205.65 (step @p475 :rule chain_m_resolution :premises (@p474 @p125 @p220 @p471 @p393) :args (@t366 @t368 (@list @t173 @t212 @t350 @t367))) % 205.32/205.65 (step @p476 :rule cnf_and_pos :args (@t366 1)) % 205.32/205.65 (step @p477 :rule reordering :premises (@p476) :args ((or @t365 (not @t366)))) % 205.32/205.65 (step @p478 :rule chain_m_resolution :premises (@p477 @p475) :args (@t365 @t179 (@list @t366))) % 205.32/205.65 (step @p479 :rule cnf_or_pos :args (@t365)) % 205.32/205.65 (step @p480 :rule reordering :premises (@p479) :args ((or @t361 @t364 (not @t365)))) % 205.32/205.65 (step @p481 :rule chain_m_resolution :premises (@p480 @p447 @p478) :args (@t364 @t197 (@list @t355 @t365))) % 205.32/205.65 (step @p482 :rule cnf_equiv_pos2 :args (@t280)) % 205.32/205.65 (step @p483 :rule reordering :premises (@p482) :args ((or @t277 @t369 (not @t280)))) % 205.32/205.65 (step @p484 :rule chain_m_resolution :premises (@p483 @p481 @p323) :args (@t369 @t255 (@list @t277 @t280))) % 205.32/205.65 (step @p485 :rule cnf_and_pos :args (@t226 0)) % 205.32/205.65 (step @p486 :rule reordering :premises (@p485) :args ((or @t225 @t228))) % 205.32/205.65 (step @p487 :rule chain_m_resolution :premises (@p486 @p181) :args (@t225 @t179 @t229)) % 205.32/205.65 (step @p488 :rule cnf_and_pos :args (@t226 2)) % 205.32/205.65 (step @p489 :rule reordering :premises (@p488) :args ((or @t223 @t228))) % 205.32/205.65 (step @p490 :rule chain_m_resolution :premises (@p489 @p181) :args (@t223 @t179 @t229)) % 205.32/205.65 (step @p491 :rule refl :args (@t370)) % 205.32/205.65 (step @p492 :rule bool-double-not-elim :args (@t222)) % 205.32/205.65 (step @p493 :rule refl :args (@t371)) % 205.32/205.65 (step @p494 :rule refl :args (@t279)) % 205.32/205.65 (step @p495 :rule nary_cong :premises (@p494 @p192 @p493 @p492 @p491) :args ((or @t279 @t236 @t371 (not @t223) @t370))) % 205.32/205.65 (step @p496 :rule cnf_and_neg :args (@t279)) % 205.32/205.65 (step @p497 :rule eq_resolve :premises (@p496 @p495)) % 205.32/205.65 (step @p498 :rule reordering :premises (@p497) :args ((or @t222 @t371 @t236 @t279 @t370))) % 205.32/205.65 (step @p499 :rule chain_m_resolution :premises (@p498 @p490 @p487 @p226 @p484) :args (@t370 (@list true false false true) (@list @t222 @t225 @t224 @t279))) % 205.32/205.65 ; trust TRUST PREPROCESS_SORT_INFER % 205.32/205.65 (step @p500 :rule trust :premises () :args ((= (forall @t48 @t380) (forall (@list @t375 @t374 @t373 @t372) (or (not (_ @t152 @t375 @t374 @t373)) (not (_ @t243 @t372 @t373)) (and (_ @t258 @t372) (not (forall @t6 (or (not (_ @t144 @t1 @t373)) (and (not (= @t231 @t372)) (not (= @t230 @t372)))))))))))) % 205.32/205.65 (step @p501 :rule aci_norm :args ((= (or (or @t158 @t379) @t378) @t380))) % 205.32/205.65 (step @p502 :rule refl :args (@t378)) % 205.32/205.65 (step @p503 :rule bool-and-de-morgan :args (@t29 @t45 true)) % 205.32/205.65 (step @p504 :rule nary_cong :premises (@p503 @p502) :args ((or (not @t46) @t378))) % 205.32/205.65 (step @p505 :rule trans :premises (@p504 @p501)) % 205.32/205.65 (step @p506 :rule bool-impl-elim :args (@t46 @t378)) % 205.32/205.65 (step @p507 :rule trans :premises (@p506 @p505)) % 205.32/205.65 (step @p508 :rule cong :premises (@p507) :args ((forall @t48 (=> @t46 @t378)))) % 205.32/205.65 (step @p509 :rule bool-or-de-morgan :args (@t377 @t376 false)) % 205.32/205.65 (step @p510 :rule refl :args (@t246)) % 205.32/205.65 (step @p511 :rule nary_cong :premises (@p510 @p509) :args ((or @t246 (not @t381)))) % 205.32/205.65 (step @p512 :rule bool-and-de-morgan :args (@t35 @t381 true)) % 205.32/205.65 (step @p513 :rule trans :premises (@p512 @p511)) % 205.32/205.65 (step @p514 :rule cong :premises (@p513) :args (@t383)) % 205.32/205.65 (step @p515 :rule cong :premises (@p514) :args (@t384)) % 205.32/205.65 (step @p516 :rule exists-elim :args ((= (exists @t6 @t382) @t384))) % 205.32/205.65 (step @p517 :rule trans :premises (@p516 @p515)) % 205.32/205.65 (step @p518 :rule eq-symm :args (@t39 @t2)) % 205.32/205.65 (step @p519 :rule eq-symm :args (@t39 @t3)) % 205.32/205.65 (step @p520 :rule nary_cong :premises (@p519 @p518) :args (@t40)) % 205.32/205.65 (step @p521 :rule refl :args (@t35)) % 205.32/205.65 (step @p522 :rule nary_cong :premises (@p521 @p520) :args (@t41)) % 205.32/205.65 (step @p523 :rule cong :premises (@p522) :args (@t42)) % 205.32/205.65 (step @p524 :rule trans :premises (@p523 @p517)) % 205.32/205.65 (step @p525 :rule refl :args (@t43)) % 205.32/205.65 (step @p526 :rule nary_cong :premises (@p525 @p524) :args (@t44)) % 205.32/205.65 (step @p527 :rule refl :args (@t46)) % 205.32/205.65 (step @p528 :rule cong :premises (@p527 @p526) :args (@t47)) % 205.32/205.65 (step @p529 :rule cong :premises (@p528) :args (@t49)) % 205.32/205.65 (step @p530 :rule trans :premises (@p529 @p508)) % 205.32/205.65 (step @p531 :rule trans :premises (@p530 @p500)) % 205.32/205.65 (step @p532 :rule eq_resolve :premises (@p7 @p531)) % 205.32/205.65 (step @p533 :rule instantiate :premises (@p532) :args ((@list @t163 @t162 @t143 @t273))) % 205.32/205.65 (step @p534 :rule instantiate :premises (@p213) :args ((@list @t163 @t162 @t143 @t147))) % 205.32/205.65 (step @p535 :rule cnf_or_pos :args (@t387)) % 205.32/205.65 (step @p536 :rule reordering :premises (@p535) :args ((or @t174 @t215 @t386 (not @t387)))) % 205.32/205.65 (step @p537 :rule chain_m_resolution :premises (@p536 @p125 @p444 @p534) :args (@t386 @t250 (@list @t173 @t214 @t387))) % 205.32/205.65 (step @p538 :rule cnf_and_pos :args (@t386 2)) % 205.32/205.65 (step @p539 :rule reordering :premises (@p538) :args ((or @t385 (not @t386)))) % 205.32/205.65 (step @p540 :rule chain_m_resolution :premises (@p539 @p537) :args (@t385 @t179 (@list @t386))) % 205.32/205.65 (step @p541 :rule cnf_or_pos :args (@t393)) % 205.32/205.65 (step @p542 :rule reordering :premises (@p541) :args ((or @t174 @t392 @t391 (not @t393)))) % 205.32/205.65 (step @p543 :rule chain_m_resolution :premises (@p542 @p125 @p540 @p533) :args (@t391 @t250 (@list @t173 @t385 @t393))) % 205.32/205.65 (step @p544 :rule cnf_and_pos :args (@t391 0)) % 205.32/205.65 (step @p545 :rule reordering :premises (@p544) :args ((or @t390 (not @t391)))) % 205.32/205.65 (step @p546 :rule chain_m_resolution :premises (@p545 @p543) :args (@t390 @t179 (@list @t391))) % 205.32/205.65 ; trust TRUST PREPROCESS_SORT_INFER % 205.32/205.65 (step @p547 :rule trust :premises () :args ((= (forall @t6 (or @t232 @t8)) (forall @t6 (or @t232 (and (_ @t258 @t231) (_ @t258 @t230))))))) % 205.32/205.65 (step @p548 :rule bool-impl-elim :args (@t5 @t8)) % 205.32/205.65 (step @p549 :rule cong :premises (@p548) :args (@t9)) % 205.32/205.65 (step @p550 :rule trans :premises (@p549 @p547)) % 205.32/205.65 (step @p551 :rule eq_resolve :premises (@p2 @p550)) % 205.32/205.65 (step @p552 :rule instantiate :premises (@p551) :args (@t238)) % 205.32/205.65 (step @p553 :rule cnf_or_pos :args (@t396)) % 205.32/205.65 (step @p554 :rule reordering :premises (@p553) :args ((or @t236 @t395 (not @t396)))) % 205.32/205.65 (step @p555 :rule chain_m_resolution :premises (@p554 @p226 @p552) :args (@t395 @t197 (@list @t224 @t396))) % 205.32/205.65 (step @p556 :rule cnf_and_pos :args (@t395 0)) % 205.32/205.65 (step @p557 :rule reordering :premises (@p556) :args ((or @t394 (not @t395)))) % 205.32/205.65 (step @p558 :rule chain_m_resolution :premises (@p557 @p555) :args (@t394 @t179 (@list @t395))) % 205.32/205.65 (step @p559 :rule cnf_or_pos :args (@t401)) % 205.32/205.65 (step @p560 :rule reordering :premises (@p559) :args ((or @t400 @t399 @t274 @t398 (not @t401)))) % 205.32/205.65 (step @p561 :rule chain_m_resolution :premises (@p560 @p558 @p546 @p499 @p306) :args (@t398 @t368 (@list @t394 @t390 @t274 @t401))) % 205.32/205.65 (step @p562 :rule refl :args (@t415)) % 205.32/205.65 (step @p563 :rule bool-double-not-elim :args (@t397)) % 205.32/205.65 (step @p564 :rule nary_cong :premises (@p563 @p562) :args ((or (not @t398) @t415))) % 205.32/205.65 (step @p565 :rule eq-symm :args (@t403 @t234)) % 205.32/205.65 (step @p566 :rule eq-symm :args (@t405 @t273)) % 205.32/205.65 (step @p567 :rule nary_cong :premises (@p566 @p565) :args (@t417)) % 205.32/205.65 (step @p568 :rule eq-symm :args (@t403 @t273)) % 205.32/205.65 (step @p569 :rule eq-symm :args (@t405 @t234)) % 205.32/205.65 (step @p570 :rule nary_cong :premises (@p569 @p568) :args (@t418)) % 205.32/205.65 (step @p571 :rule cong :premises (@p570 @p567) :args (@t419)) % 205.32/205.65 (step @p572 :rule refl :args (@t413)) % 205.32/205.65 (step @p573 :rule nary_cong :premises (@p572 @p571) :args (@t420)) % 205.32/205.65 (step @p574 :rule cong :premises (@p573) :args (@t421)) % 205.32/205.65 (step @p575 :rule refl :args (@t398)) % 205.32/205.65 (step @p576 :rule cong :premises (@p575 @p574) :args ((=> @t398 @t421))) % 205.32/205.65 (assume-push @p827 @t398) % 205.32/205.65 (step @p578 :rule skolemize :premises (@p827)) % 205.32/205.65 (step-pop @p828 :rule scope :premises (@p578)) % 205.32/205.65 (step @p579 :rule process_scope :premises (@p828) :args (@t421)) % 205.32/205.65 (step @p581 :rule eq_resolve :premises (@p579 @p576)) % 205.32/205.65 (step @p582 :rule implies_elim :premises (@p581)) % 205.32/205.65 (step @p583 :rule eq_resolve :premises (@p582 @p564)) % 205.32/205.65 (step @p584 :rule chain_m_resolution :premises (@p583 @p561) :args (@t415 @t193 (@list @t397))) % 205.32/205.65 (step @p585 :rule cnf_or_neg :args (@t414 1)) % 205.32/205.65 (step @p586 :rule chain_m_resolution :premises (@p585 @p584) :args ((not @t411) @t193 @t422)) % 205.32/205.65 ; trust TRUST PREPROCESS_SORT_INFER % 205.32/205.65 (step @p587 :rule trust :premises () :args ((= (forall @t429 (or @t188 @t345 (and (or (not (= @t94 @t428)) (not (= @t92 @t427))) @t91))) (forall (@list @t426 @t425 @t51 @t50 @t423 @t424) (or (not (_ @t141 @t426 @t425 @t423)) (not (_ @t285 @t51 @t50 @t423)) (and (or (not (= (_ @t125 @t51) (_ @t125 @t424))) (not (= (_ @t126 @t50) (_ @t126 @t424)))) (not (_ @t285 @t50 @t51 @t423)))))))) % 205.32/205.65 (step @p588 :rule refl :args (@t91)) % 205.32/205.65 (step @p589 :rule eq-symm :args (@t427 @t92)) % 205.32/205.65 (step @p590 :rule cong :premises (@p589) :args (@t430)) % 205.32/205.65 (step @p591 :rule eq-symm :args (@t428 @t94)) % 205.32/205.65 (step @p592 :rule cong :premises (@p591) :args (@t431)) % 205.32/205.65 (step @p593 :rule nary_cong :premises (@p592 @p590) :args (@t432)) % 205.32/205.65 (step @p594 :rule nary_cong :premises (@p593 @p588) :args (@t433)) % 205.32/205.65 (step @p595 :rule refl :args (@t188)) % 205.32/205.65 (step @p596 :rule nary_cong :premises (@p595 @p411 @p594) :args (@t434)) % 205.32/205.65 (step @p597 :rule cong :premises (@p596) :args (@t435)) % 205.32/205.65 (step @p598 :rule quant-merge-prenex :args ((= (forall @t103 @t437) @t435))) % 205.32/205.65 (step @p599 :rule quant-unused-vars :args ((= @t438 @t91))) % 205.32/205.65 (step @p600 :rule alpha_equiv :args (@t439 (@list @t424) @t312)) % 205.32/205.65 (step @p601 :rule nary_cong :premises (@p600 @p599) :args (@t440)) % 205.32/205.65 (step @p602 :rule quant-miniscope-and :args ((= @t441 @t440))) % 205.32/205.65 (step @p603 :rule trans :premises (@p602 @p601)) % 205.32/205.65 (step @p604 :rule refl :args (@t188)) % 205.32/205.65 (step @p605 :rule nary_cong :premises (@p604 @p418 @p603) :args (@t442)) % 205.32/205.65 (step @p606 :rule quant-miniscope-or :args ((= @t437 @t442))) % 205.32/205.65 (step @p607 :rule trans :premises (@p606 @p605)) % 205.32/205.65 (step @p608 :rule symm :premises (@p607)) % 205.32/205.65 (step @p609 :rule cong :premises (@p608) :args ((forall @t103 @t445))) % 205.32/205.65 (step @p610 :rule trans :premises (@p609 @p598)) % 205.32/205.65 (step @p611 :rule trans :premises (@p610 @p597)) % 205.32/205.65 (step @p612 :rule aci_norm :args ((= (or (or @t188 @t345) @t444) @t445))) % 205.32/205.65 (step @p613 :rule refl :args (@t444)) % 205.32/205.65 (step @p614 :rule bool-and-de-morgan :args (@t100 @t58 true)) % 205.32/205.65 (step @p615 :rule nary_cong :premises (@p614 @p613) :args ((or (not @t101) @t444))) % 205.32/205.65 (step @p616 :rule trans :premises (@p615 @p612)) % 205.32/205.65 (step @p617 :rule bool-impl-elim :args (@t101 @t444)) % 205.32/205.65 (step @p618 :rule trans :premises (@p617 @p616)) % 205.32/205.65 (step @p619 :rule cong :premises (@p618) :args ((forall @t103 (=> @t101 @t444)))) % 205.32/205.65 (step @p620 :rule trans :premises (@p619 @p611)) % 205.32/205.65 (step @p621 :rule bool-double-not-elim :args (@t443)) % 205.32/205.65 (step @p622 :rule bool-and-de-morgan :args (@t95 @t93 true)) % 205.32/205.65 (step @p623 :rule cong :premises (@p622) :args (@t446)) % 205.32/205.65 (step @p624 :rule cong :premises (@p623) :args (@t447)) % 205.32/205.65 (step @p625 :rule exists-elim :args ((= @t97 @t447))) % 205.32/205.65 (step @p626 :rule trans :premises (@p625 @p624)) % 205.32/205.65 (step @p627 :rule cong :premises (@p626) :args (@t98)) % 205.32/205.65 (step @p628 :rule trans :premises (@p627 @p621)) % 205.32/205.65 (step @p629 :rule nary_cong :premises (@p628 @p588) :args (@t99)) % 205.32/205.65 (step @p630 :rule refl :args (@t101)) % 205.32/205.65 (step @p631 :rule cong :premises (@p630 @p629) :args (@t102)) % 205.32/205.65 (step @p632 :rule cong :premises (@p631) :args (@t104)) % 205.32/205.65 (step @p633 :rule trans :premises (@p632 @p620)) % 205.32/205.65 (step @p634 :rule trans :premises (@p633 @p587)) % 205.32/205.65 (step @p635 :rule eq_resolve :premises (@p12 @p634)) % 205.32/205.65 (step @p636 :rule instantiate :premises (@p635) :args ((@list @t163 @t162 @t147 @t146 @t143 @t402))) % 205.32/205.65 (step @p637 :rule cnf_or_pos :args (@t452)) % 205.32/205.65 (step @p638 :rule reordering :premises (@p637) :args ((or @t191 @t361 @t451 (not @t452)))) % 205.32/205.65 (step @p639 :rule chain_m_resolution :premises (@p638 @p119 @p447 @p636) :args (@t451 @t250 (@list @t189 @t355 @t452))) % 205.32/205.65 (step @p640 :rule cnf_and_pos :args (@t451 0)) % 205.32/205.65 (step @p641 :rule reordering :premises (@p640) :args ((or @t450 (not @t451)))) % 205.32/205.65 (step @p642 :rule chain_m_resolution :premises (@p641 @p639) :args (@t450 @t179 (@list @t451))) % 205.32/205.65 (step @p643 :rule cnf_or_pos :args (@t450)) % 205.32/205.65 (step @p644 :rule reordering :premises (@p643) :args ((or @t448 @t449 (not @t450)))) % 205.32/205.65 (step @p645 :rule cnf_and_pos :args (@t410 1)) % 205.32/205.65 (step @p646 :rule reordering :premises (@p645) :args ((or @t408 @t453))) % 205.32/205.65 (step @p647 :rule cnf_equiv_neg1 :args (@t411)) % 205.32/205.65 (step @p648 :rule reordering :premises (@p647) :args ((or @t410 @t407 @t411))) % 205.32/205.65 (step @p649 :rule cnf_and_pos :args (@t407 0)) % 205.32/205.65 (step @p650 :rule reordering :premises (@p649) :args ((or @t406 @t454))) % 205.32/205.65 (step @p651 :rule refl :args (@t455)) % 205.32/205.65 (step @p652 :rule refl :args (@t448)) % 205.32/205.65 (step @p653 :rule bool-double-not-elim :args (@t274)) % 205.32/205.65 (step @p654 :rule nary_cong :premises (@p653 @p652 @p651) :args ((or (not @t370) @t448 @t455))) % 205.32/205.65 (assume-push @p829 @t406) % 205.32/205.65 (assume-push @p830 @t409) % 205.32/205.65 (assume-push @p831 @t370) % 205.32/205.65 (step @p658 :rule evaluate :args ((= false true))) % 205.32/205.65 (step @p659 :rule symm :premises (@p829)) % 205.32/205.65 (step @p660 :rule trans :premises (@p830 @p659)) % 205.32/205.65 (step @p661 :rule true_intro :premises (@p660)) % 205.32/205.65 (step @p662 :rule false_intro :premises (@p831)) % 205.32/205.65 (step @p663 :rule symm :premises (@p662)) % 205.32/205.65 (step @p664 :rule trans :premises (@p663 @p661)) % 205.32/205.65 (step @p665 false :rule eq_resolve :premises (@p664 @p658)) % 205.32/205.65 (step-pop @p832 :rule scope :premises (@p665)) % 205.32/205.65 (step-pop @p833 :rule scope :premises (@p832)) % 205.32/205.65 (step-pop @p834 :rule scope :premises (@p833)) % 205.32/205.65 (step @p666 :rule process_scope :premises (@p834) :args (false)) % 205.32/205.65 (assume-push @p835 @t370) % 205.32/205.65 (assume-push @p836 @t409) % 205.32/205.65 (assume-push @p837 @t406) % 205.32/205.65 (step @p673 :rule and_intro :premises (@p837 @p836 @p835)) % 205.32/205.65 (step-pop @p838 :rule scope :premises (@p673)) % 205.32/205.65 (step-pop @p839 :rule scope :premises (@p838)) % 205.32/205.65 (step-pop @p840 :rule scope :premises (@p839)) % 205.32/205.65 (step @p674 :rule process_scope :premises (@p840) :args (@t456)) % 205.32/205.65 (step @p678 :rule implies_elim :premises (@p674)) % 205.32/205.65 (step @p679 :rule resolution :premises (@p678 @p666) :args (true @t456)) % 205.32/205.65 (step @p680 :rule not_and :premises (@p679)) % 205.32/205.65 (step @p681 :rule eq_resolve :premises (@p680 @p654)) % 205.32/205.65 (step @p682 :rule chain_m_resolution :premises (@p681 @p499 @p650 @p648 @p586 @p646 @p644 @p642) :args (@t448 (@list true false false true true true false) (@list @t274 @t406 @t407 @t411 @t410 @t408 @t450))) % 205.32/205.65 (step @p683 :rule cnf_and_pos :args (@t410 0)) % 205.32/205.65 (step @p684 :rule reordering :premises (@p683) :args ((or @t409 @t453))) % 205.32/205.65 (step @p685 :rule chain_m_resolution :premises (@p684 @p682) :args (@t453 @t193 (@list @t409))) % 205.32/205.65 (step @p686 :rule chain_m_resolution :premises (@p648 @p685 @p586) :args (@t407 (@list true true) (@list @t410 @t411))) % 205.32/205.65 (step @p687 :rule cnf_and_pos :args (@t407 1)) % 205.32/205.65 (step @p688 :rule reordering :premises (@p687) :args ((or @t404 @t454))) % 205.32/205.65 (step @p689 :rule chain_m_resolution :premises (@p688 @p686) :args (@t404 @t179 @t457)) % 205.32/205.65 (step @p690 :rule instantiate :premises (@p21) :args ((@list @t146 @t402))) % 205.32/205.65 (step @p691 :rule eq-symm :args (@t402 @t147)) % 205.32/205.65 (step @p692 :rule cong :premises (@p691) :args (@t458)) % 205.32/205.65 (step @p693 :rule refl :args (@t412)) % 205.32/205.65 (step @p694 :rule nary_cong :premises (@p693 @p310 @p692 @p566) :args (@t459)) % 205.32/205.65 (step @p695 :rule refl :args (@t460)) % 205.32/205.65 (step @p696 :rule cong :premises (@p695 @p694) :args (@t461)) % 205.32/205.65 (step @p697 :rule cong :premises (@p315 @p696) :args ((=> @t127 @t461))) % 205.32/205.65 (assume-push @p841 @t127) % 205.32/205.65 (step @p699 :rule instantiate :premises (@p21) :args ((@list @t402 @t147))) % 205.32/205.65 (step-pop @p842 :rule scope :premises (@p699)) % 205.32/205.65 (step @p700 :rule process_scope :premises (@p842) :args (@t461)) % 205.32/205.65 (step @p702 :rule eq_resolve :premises (@p700 @p697)) % 205.32/205.65 (step @p703 :rule implies_elim :premises (@p702)) % 205.32/205.65 (step @p704 :rule chain_m_resolution :premises (@p703 @p21) :args (@t465 @t179 @t281)) % 205.32/205.65 (step @p705 :rule chain_m_resolution :premises (@p650 @p686) :args (@t406 @t179 @t457)) % 205.32/205.65 (assume-push @p843 @t406) % 205.32/205.65 (assume-push @p844 @t404) % 205.32/205.65 (assume-push @p845 @t462) % 205.32/205.65 (assume-push @p846 @t406) % 205.32/205.65 (assume-push @p847 @t462) % 205.32/205.65 (assume-push @p848 @t404) % 205.32/205.65 (step @p712 :rule symm :premises (@p845)) % 205.32/205.65 (step @p713 :rule cong :premises (@p712) :args (@t403)) % 205.32/205.65 (step @p714 :rule trans :premises (@p844 @p713 @p843)) % 205.32/205.65 (step-pop @p849 :rule scope :premises (@p714)) % 205.32/205.65 (step-pop @p850 :rule scope :premises (@p849)) % 205.32/205.65 (step-pop @p851 :rule scope :premises (@p850)) % 205.32/205.65 (step @p715 :rule process_scope :premises (@p851) :args (@t409)) % 205.32/205.65 (step @p719 :rule and_intro :premises (@p843 @p845 @p844)) % 205.32/205.65 (step @p720 :rule modus_ponens :premises (@p719 @p715)) % 205.32/205.65 (step-pop @p852 :rule scope :premises (@p720)) % 205.32/205.65 (step-pop @p853 :rule scope :premises (@p852)) % 205.32/205.65 (step-pop @p854 :rule scope :premises (@p853)) % 205.32/205.65 (step @p721 :rule process_scope :premises (@p854) :args (@t409)) % 205.32/205.65 (step @p725 :rule implies_elim :premises (@p721)) % 205.32/205.65 (step @p726 :rule cnf_and_neg :args (@t466)) % 205.32/205.65 (step @p727 :rule resolution :premises (@p726 @p725) :args (true @t466)) % 205.32/205.65 (step @p728 :rule reordering :premises (@p727) :args ((or @t409 @t455 @t467 @t463))) % 205.32/205.65 (step @p729 :rule chain_m_resolution :premises (@p728 @p705 @p682 @p689) :args (@t463 @t207 (@list @t406 @t409 @t404))) % 205.32/205.65 (step @p730 :rule bool-double-not-elim :args (@t412)) % 205.32/205.65 (step @p731 :rule refl :args (@t414)) % 205.32/205.65 (step @p732 :rule nary_cong :premises (@p731 @p730) :args ((or @t414 (not @t413)))) % 205.32/205.65 (step @p733 :rule cnf_or_neg :args (@t414 0)) % 205.32/205.65 (step @p734 :rule eq_resolve :premises (@p733 @p732)) % 205.32/205.65 (step @p735 :rule reordering :premises (@p734) :args ((or @t412 @t414))) % 205.32/205.65 (step @p736 :rule chain_m_resolution :premises (@p735 @p584) :args (@t412 @t193 @t422)) % 205.32/205.65 (step @p737 :rule bool-double-not-elim :args (@t462)) % 205.32/205.65 (step @p738 :rule refl :args (@t464)) % 205.32/205.65 (step @p739 :rule nary_cong :premises (@p738 @p572 @p493 @p737 @p651) :args ((or @t464 @t413 @t371 (not @t463) @t455))) % 205.32/205.65 (step @p740 :rule cnf_and_neg :args (@t464)) % 205.32/205.65 (step @p741 :rule eq_resolve :premises (@p740 @p739)) % 205.32/205.65 (step @p742 :rule reordering :premises (@p741) :args ((or @t371 @t413 @t455 @t462 @t464))) % 205.32/205.65 (step @p743 :rule chain_m_resolution :premises (@p742 @p487 @p736 @p705 @p729) :args (@t464 @t468 (@list @t225 @t412 @t406 @t462))) % 205.32/205.65 (step @p744 :rule cnf_equiv_pos2 :args (@t465)) % 205.32/205.65 (step @p745 :rule reordering :premises (@p744) :args ((or @t460 (not @t464) (not @t465)))) % 205.32/205.65 (step @p746 :rule chain_m_resolution :premises (@p745 @p743 @p704) :args (@t460 @t197 (@list @t464 @t465))) % 205.32/205.65 (step @p747 :rule instantiate :premises (@p13) :args ((@list @t147 @t146 @t402))) % 205.32/205.65 (step @p748 :rule bool-double-not-elim :args (@t208)) % 205.32/205.65 (step @p749 :rule nary_cong :premises (@p173 @p748) :args ((or @t216 (not @t209)))) % 205.32/205.65 (step @p750 :rule cnf_or_neg :args (@t216 3)) % 205.32/205.65 (step @p751 :rule eq_resolve :premises (@p750 @p749)) % 205.32/205.65 (step @p752 :rule reordering :premises (@p751) :args ((or @t208 @t216))) % 205.32/205.65 (step @p753 :rule chain_m_resolution :premises (@p752 @p171) :args (@t208 @t193 @t218)) % 205.32/205.65 (assume-push @p855 @t208) % 205.32/205.65 (step @p755 :rule instantiate :premises (@p855) :args ((@list @t402))) % 205.32/205.65 (step-pop @p856 :rule scope :premises (@p755)) % 205.32/205.65 (step @p756 :rule process_scope :premises (@p856) :args (@t470)) % 205.32/205.65 (step @p758 :rule implies_elim :premises (@p756)) % 205.32/205.65 (step @p759 :rule chain_m_resolution :premises (@p758 @p753) :args (@t470 @t179 (@list @t208))) % 205.32/205.65 (step @p760 :rule cnf_equiv_pos2 :args (@t473)) % 205.32/205.65 (step @p761 :rule reordering :premises (@p760) :args ((or @t469 @t474 (not @t473)))) % 205.32/205.65 (step @p762 :rule chain_m_resolution :premises (@p761 @p759 @p747) :args (@t474 @t255 (@list @t469 @t473))) % 205.32/205.65 (step @p763 :rule cnf_and_neg :args (@t472)) % 205.32/205.65 (step @p764 :rule reordering :premises (@p763) :args ((or @t211 @t371 @t236 @t413 @t472 @t475 (not @t460)))) % 205.32/205.65 (step @p765 :rule chain_m_resolution :premises (@p764 @p178 @p487 @p226 @p736 @p762 @p746) :args (@t475 (@list false false false false true false) (@list @t210 @t225 @t224 @t412 @t472 @t460))) % 205.32/205.65 (step @p766 :rule cnf_equiv_pos2 :args (@t479)) % 205.32/205.65 (step @p767 :rule reordering :premises (@p766) :args ((or @t471 @t480 (not @t479)))) % 205.32/205.65 (step @p768 :rule chain_m_resolution :premises (@p767 @p765 @p690) :args (@t480 @t255 (@list @t471 @t479))) % 205.32/205.65 (step @p769 :rule refl :args (@t467)) % 205.32/205.65 (step @p770 :rule bool-double-not-elim :args (@t476)) % 205.32/205.65 (step @p771 :rule refl :args (@t478)) % 205.32/205.65 (step @p772 :rule nary_cong :premises (@p771 @p192 @p572 @p770 @p769) :args ((or @t478 @t236 @t413 (not @t477) @t467))) % 205.32/205.65 (step @p773 :rule cnf_and_neg :args (@t478)) % 205.32/205.65 (step @p774 :rule eq_resolve :premises (@p773 @p772)) % 205.32/205.65 (step @p775 :rule reordering :premises (@p774) :args ((or @t236 @t413 @t467 @t476 @t478))) % 205.32/205.65 (step @p776 :rule chain_m_resolution :premises (@p775 @p226 @p736 @p689 @p768) :args (@t476 @t468 (@list @t224 @t412 @t404 @t478))) % 205.32/205.65 (assume-push @p857 @t221) % 205.32/205.65 (assume-push @p858 @t404) % 205.32/205.65 (assume-push @p859 @t476) % 205.32/205.65 (assume-push @p860 @t404) % 205.32/205.65 (assume-push @p861 @t476) % 205.32/205.65 (assume-push @p862 @t221) % 205.32/205.65 (step @p783 :rule symm :premises (@p858)) % 205.32/205.65 (step @p784 :rule cong :premises (@p859) :args (@t219)) % 205.32/205.65 (step @p785 :rule trans :premises (@p857 @p784 @p783)) % 205.32/205.65 (step-pop @p863 :rule scope :premises (@p785)) % 205.32/205.65 (step-pop @p864 :rule scope :premises (@p863)) % 205.32/205.65 (step-pop @p865 :rule scope :premises (@p864)) % 205.32/205.65 (step @p786 :rule process_scope :premises (@p865) :args (@t251)) % 205.32/205.65 (step @p790 :rule and_intro :premises (@p858 @p859 @p857)) % 205.32/205.65 (step @p791 :rule modus_ponens :premises (@p790 @p786)) % 205.32/205.65 (step-pop @p866 :rule scope :premises (@p791)) % 205.32/205.65 (step-pop @p867 :rule scope :premises (@p866)) % 205.32/205.65 (step-pop @p868 :rule scope :premises (@p867)) % 205.32/205.65 (step @p792 :rule process_scope :premises (@p868) :args (@t251)) % 205.32/205.65 (step @p796 :rule implies_elim :premises (@p792)) % 205.32/205.65 (step @p797 :rule cnf_and_neg :args (@t481)) % 205.32/205.65 (step @p798 :rule resolution :premises (@p797 @p796) :args (true @t481)) % 205.32/205.65 (step @p799 :rule reordering :premises (@p798) :args ((or @t253 @t251 @t467 @t477))) % 205.32/205.65 (step @p800 false :rule chain_m_resolution :premises (@p799 @p776 @p689 @p255 @p184) :args (false @t368 (@list @t476 @t404 @t251 @t221))) % 205.32/205.65 ) % 205.32/205.65 % SZS output end Proof % 205.32/205.65 % cvc5 exiting %------------------------------------------------------------------------------