%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV228+1 : TPTP v9.2.1. Bugfixed v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n010.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 09:00:46 AM UTC 2026 % Result : Theorem 0.39s 0.67s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWV228+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n010.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 19:59:25 EDT 2026 % 0.19/0.35 % CPUTime : % 0.28/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.67 % SZS status Theorem % 0.39/0.67 % SZS output start Proof % 0.39/0.67 ( % 0.39/0.67 (declare-sort $$unsorted 0) % 0.39/0.67 (declare-const tptp.q_ds1_filter $$unsorted) % 0.39/0.67 (declare-const tptp.def $$unsorted) % 0.39/0.67 (declare-const tptp.use $$unsorted) % 0.39/0.67 (declare-const tptp.true Bool) % 0.39/0.67 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.67 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.67 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.39/0.67 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.67 (declare-const tptp.xinit_noise $$unsorted) % 0.39/0.67 (declare-const tptp.n3 $$unsorted) % 0.39/0.67 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.67 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.39/0.67 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.39/0.67 (declare-const tptp.n0 $$unsorted) % 0.39/0.67 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.67 (declare-const tptp.n1 $$unsorted) % 0.39/0.67 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.39/0.67 (declare-const tptp.n5 $$unsorted) % 0.39/0.67 (declare-const tptp.r_ds1_filter $$unsorted) % 0.39/0.67 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.39/0.67 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.67 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.67 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.67 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.39/0.67 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.39/0.67 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.39/0.67 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.67 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.39/0.67 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.67 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.67 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.67 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.67 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.67 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.39/0.67 (declare-const tptp.n4 $$unsorted) % 0.39/0.67 (declare-const tptp.n2 $$unsorted) % 0.39/0.67 (define @t1 () (@var "Y" $$unsorted)) % 0.39/0.67 (define @t2 () (@var "X" $$unsorted)) % 0.39/0.67 (define @t3 () (= @t2 @t1)) % 0.39/0.67 (define @t4 () (tptp.gt @t1 @t2)) % 0.39/0.67 (define @t5 () (tptp.gt @t2 @t1)) % 0.39/0.67 (define @t6 () (@list @t2 @t1)) % 0.39/0.67 (define @t7 () (@var "Z" $$unsorted)) % 0.39/0.67 (define @t8 () (@list @t2 @t1 @t7)) % 0.39/0.67 (define @t9 () (@list @t2)) % 0.39/0.67 (define @t10 () (tptp.leq @t2 @t1)) % 0.39/0.67 (define @t11 () (tptp.succ @t2)) % 0.39/0.67 (define @t12 () (tptp.succ @t1)) % 0.39/0.67 (define @t13 () (@var "C" $$unsorted)) % 0.39/0.67 (define @t14 () (tptp.uniform_int_rnd @t13 @t2)) % 0.39/0.67 (define @t15 () (tptp.leq tptp.n0 @t2)) % 0.39/0.67 (define @t16 () (@list @t2 @t13)) % 0.39/0.67 (define @t17 () (@var "Val" $$unsorted)) % 0.39/0.67 (define @t18 () (@var "I" $$unsorted)) % 0.39/0.67 (define @t19 () (@var "U" $$unsorted)) % 0.39/0.67 (define @t20 () (@var "L" $$unsorted)) % 0.39/0.67 (define @t21 () (tptp.leq @t18 @t19)) % 0.39/0.67 (define @t22 () (@var "J" $$unsorted)) % 0.39/0.67 (define @t23 () (@var "U2" $$unsorted)) % 0.39/0.67 (define @t24 () (@var "L2" $$unsorted)) % 0.39/0.67 (define @t25 () (@var "U1" $$unsorted)) % 0.39/0.67 (define @t26 () (@var "L1" $$unsorted)) % 0.39/0.67 (define @t27 () (@var "A" $$unsorted)) % 0.39/0.67 (define @t28 () (tptp.trans @t27)) % 0.39/0.67 (define @t29 () (@var "N" $$unsorted)) % 0.39/0.67 (define @t30 () (tptp.leq @t22 @t29)) % 0.39/0.67 (define @t31 () (tptp.leq tptp.n0 @t22)) % 0.39/0.67 (define @t32 () (tptp.leq @t18 @t29)) % 0.39/0.67 (define @t33 () (tptp.leq tptp.n0 @t18)) % 0.39/0.67 (define @t34 () (and @t33 @t32 @t31 @t30)) % 0.39/0.67 (define @t35 () (@list @t18 @t22)) % 0.39/0.67 (define @t36 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t27 @t18 @t22) (tptp.a_select3 @t27 @t22 @t18))))) % 0.39/0.67 (define @t37 () (@list @t27 @t29)) % 0.39/0.67 (define @t38 () (tptp.inv @t27)) % 0.39/0.67 (define @t39 () (@var "VAL" $$unsorted)) % 0.39/0.67 (define @t40 () (@var "K" $$unsorted)) % 0.39/0.67 (define @t41 () (tptp.tptp_update3 @t27 @t40 @t40 @t39)) % 0.39/0.67 (define @t42 () (@var "B" $$unsorted)) % 0.39/0.67 (define @t43 () (tptp.tptp_madd @t27 @t42)) % 0.39/0.67 (define @t44 () (= (tptp.a_select3 @t42 @t18 @t22) (tptp.a_select3 @t42 @t22 @t18))) % 0.39/0.67 (define @t45 () (forall @t35 (=> @t34 @t44))) % 0.39/0.67 (define @t46 () (and @t36 @t45)) % 0.39/0.67 (define @t47 () (@list @t27 @t42 @t29)) % 0.39/0.67 (define @t48 () (tptp.tptp_msub @t27 @t42)) % 0.39/0.67 (define @t49 () (tptp.tptp_mmul @t27 (tptp.tptp_mmul @t42 @t28))) % 0.39/0.67 (define @t50 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t49 @t18 @t22) (tptp.a_select3 @t49 @t22 @t18))))) % 0.39/0.67 (define @t51 () (@var "M" $$unsorted)) % 0.39/0.67 (define @t52 () (and @t33 (tptp.leq @t18 @t51) @t31 (tptp.leq @t22 @t51))) % 0.39/0.67 (define @t53 () (@var "E" $$unsorted)) % 0.39/0.67 (define @t54 () (@var "F" $$unsorted)) % 0.39/0.67 (define @t55 () (@var "D" $$unsorted)) % 0.39/0.67 (define @t56 () (tptp.tptp_madd @t27 (tptp.tptp_mmul @t42 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t13 (tptp.tptp_mmul @t55 (tptp.trans @t13))) (tptp.tptp_mmul @t53 (tptp.tptp_mmul @t54 (tptp.trans @t53)))) (tptp.trans @t42))))) % 0.39/0.67 (define @t57 () (@var "Body" $$unsorted)) % 0.39/0.67 (define @t58 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t57)) % 0.39/0.67 (define @t59 () (@list @t57)) % 0.39/0.67 (define @t60 () (tptp.succ @t11)) % 0.39/0.67 (define @t61 () (tptp.succ @t60)) % 0.39/0.67 (define @t62 () (tptp.succ @t61)) % 0.39/0.67 (define @t63 () (tptp.succ @t62)) % 0.39/0.67 (define @t64 () (tptp.pred @t2)) % 0.39/0.67 (define @t65 () (@var "V" $$unsorted)) % 0.39/0.67 (define @t66 () (tptp.tptp_update3 @t2 @t19 @t65 @t39)) % 0.39/0.67 (define @t67 () (@var "VAL2" $$unsorted)) % 0.39/0.67 (define @t68 () (not (= @t18 @t19))) % 0.39/0.67 (define @t69 () (@var "J0" $$unsorted)) % 0.39/0.67 (define @t70 () (@var "I0" $$unsorted)) % 0.39/0.67 (define @t71 () (tptp.leq @t70 @t19)) % 0.39/0.67 (define @t72 () (tptp.leq tptp.n0 @t70)) % 0.39/0.67 (define @t73 () (tptp.tptp_update2 @t2 @t19 @t39)) % 0.39/0.67 (define @t74 () (= tptp.n0 (tptp.a_select2 tptp.xinit_noise tptp.n3))) % 0.39/0.67 (define @t75 () (= tptp.n3 @t54)) % 0.39/0.67 (define @t76 () (= tptp.n3 @t53)) % 0.39/0.67 (define @t77 () (= tptp.n0 @t54)) % 0.39/0.67 (define @t78 () (= tptp.n5 @t54)) % 0.39/0.67 (define @t79 () (= tptp.n5 @t53)) % 0.39/0.67 (define @t80 () (and @t79 @t78)) % 0.39/0.67 (define @t81 () (not @t80)) % 0.39/0.67 (define @t82 () (= tptp.n4 @t54)) % 0.39/0.67 (define @t83 () (and @t82 @t79)) % 0.39/0.67 (define @t84 () (not @t83)) % 0.39/0.67 (define @t85 () (= tptp.n4 @t53)) % 0.39/0.67 (define @t86 () (and @t85 @t78)) % 0.39/0.67 (define @t87 () (not @t86)) % 0.39/0.67 (define @t88 () (and @t85 @t82)) % 0.39/0.67 (define @t89 () (not @t88)) % 0.39/0.67 (define @t90 () (and @t75 @t79)) % 0.39/0.67 (define @t91 () (not @t90)) % 0.39/0.67 (define @t92 () (and @t75 @t85)) % 0.39/0.67 (define @t93 () (not @t92)) % 0.39/0.67 (define @t94 () (and @t76 @t78)) % 0.39/0.67 (define @t95 () (not @t94)) % 0.39/0.67 (define @t96 () (and @t76 @t82)) % 0.39/0.67 (define @t97 () (not @t96)) % 0.39/0.67 (define @t98 () (and @t76 @t75)) % 0.39/0.67 (define @t99 () (not @t98)) % 0.39/0.67 (define @t100 () (= tptp.n2 @t54)) % 0.39/0.67 (define @t101 () (and @t100 @t79)) % 0.39/0.67 (define @t102 () (not @t101)) % 0.39/0.67 (define @t103 () (and @t100 @t85)) % 0.39/0.67 (define @t104 () (not @t103)) % 0.39/0.67 (define @t105 () (and @t100 @t76)) % 0.39/0.67 (define @t106 () (not @t105)) % 0.39/0.67 (define @t107 () (= tptp.n2 @t53)) % 0.39/0.67 (define @t108 () (and @t107 @t78)) % 0.39/0.67 (define @t109 () (not @t108)) % 0.39/0.67 (define @t110 () (and @t107 @t82)) % 0.39/0.67 (define @t111 () (not @t110)) % 0.39/0.67 (define @t112 () (= tptp.n1 @t54)) % 0.39/0.67 (define @t113 () (and @t112 @t79)) % 0.39/0.67 (define @t114 () (not @t113)) % 0.39/0.67 (define @t115 () (and @t112 @t85)) % 0.39/0.67 (define @t116 () (not @t115)) % 0.39/0.67 (define @t117 () (and @t112 @t76)) % 0.39/0.67 (define @t118 () (not @t117)) % 0.39/0.67 (define @t119 () (= tptp.n1 @t53)) % 0.39/0.67 (define @t120 () (and @t119 @t78)) % 0.39/0.67 (define @t121 () (not @t120)) % 0.39/0.67 (define @t122 () (and @t119 @t82)) % 0.39/0.67 (define @t123 () (not @t122)) % 0.39/0.67 (define @t124 () (and @t77 @t79)) % 0.39/0.67 (define @t125 () (not @t124)) % 0.39/0.67 (define @t126 () (and @t77 @t85)) % 0.39/0.67 (define @t127 () (not @t126)) % 0.39/0.67 (define @t128 () (= tptp.n0 @t53)) % 0.39/0.67 (define @t129 () (and @t128 @t78)) % 0.39/0.67 (define @t130 () (not @t129)) % 0.39/0.67 (define @t131 () (and @t128 @t82)) % 0.39/0.67 (define @t132 () (not @t131)) % 0.39/0.67 (define @t133 () (and @t132 @t130 @t127 @t125 @t123 @t121 @t118 @t116 @t114 @t111 @t109 @t106 @t104 @t102 @t99 @t97 @t95 @t93 @t91 @t89 @t87 @t84 @t81 @t77 @t76 @t75)) % 0.39/0.67 (define @t134 () (=> @t133 @t74)) % 0.39/0.67 (define @t135 () (tptp.leq @t54 tptp.n5)) % 0.39/0.67 (define @t136 () (tptp.leq @t53 tptp.n5)) % 0.39/0.67 (define @t137 () (tptp.leq tptp.n0 @t54)) % 0.39/0.67 (define @t138 () (tptp.leq tptp.n0 @t53)) % 0.39/0.67 (define @t139 () (and @t138 @t137 @t136 @t135)) % 0.39/0.67 (define @t140 () (=> @t139 @t134)) % 0.39/0.67 (define @t141 () (@list @t53 @t54)) % 0.39/0.67 (define @t142 () (forall @t141 @t140)) % 0.39/0.67 (define @t143 () (= (tptp.a_select3 tptp.r_ds1_filter @t13 @t55) (tptp.a_select3 tptp.r_ds1_filter @t55 @t13))) % 0.39/0.67 (define @t144 () (tptp.leq @t55 tptp.n2)) % 0.39/0.67 (define @t145 () (tptp.leq @t13 tptp.n2)) % 0.39/0.67 (define @t146 () (tptp.leq tptp.n0 @t55)) % 0.39/0.67 (define @t147 () (tptp.leq tptp.n0 @t13)) % 0.39/0.67 (define @t148 () (and @t147 @t146 @t145 @t144)) % 0.39/0.67 (define @t149 () (forall (@list @t13 @t55) (=> @t148 @t143))) % 0.39/0.67 (define @t150 () (= (tptp.a_select3 tptp.q_ds1_filter @t27 @t42) (tptp.a_select3 tptp.q_ds1_filter @t42 @t27))) % 0.39/0.67 (define @t151 () (tptp.leq @t42 tptp.n5)) % 0.39/0.67 (define @t152 () (tptp.leq @t27 tptp.n5)) % 0.39/0.67 (define @t153 () (tptp.leq tptp.n0 @t42)) % 0.39/0.67 (define @t154 () (tptp.leq tptp.n0 @t27)) % 0.39/0.67 (define @t155 () (and @t154 @t153 @t152 @t151)) % 0.39/0.67 (define @t156 () (forall (@list @t27 @t42) (=> @t155 @t150))) % 0.39/0.67 (define @t157 () (and @t156 @t149)) % 0.39/0.67 (define @t158 () (=> @t157 @t142)) % 0.39/0.67 (define @t159 () (not @t158)) % 0.39/0.67 (define @t160 () (= @t2 tptp.n4)) % 0.39/0.67 (define @t161 () (= @t2 tptp.n3)) % 0.39/0.67 (define @t162 () (= @t2 tptp.n2)) % 0.39/0.67 (define @t163 () (= @t2 tptp.n1)) % 0.39/0.67 (define @t164 () (= @t2 tptp.n0)) % 0.39/0.67 (define @t165 () (tptp.succ tptp.n0)) % 0.39/0.67 (define @t166 () (tptp.succ @t165)) % 0.39/0.67 (define @t167 () (tptp.succ @t166)) % 0.39/0.67 (define @t168 () (tptp.succ @t167)) % 0.39/0.67 (define @t169 () (= tptp.n0 tptp.n5)) % 0.39/0.67 (define @t170 () (= tptp.n3 tptp.n5)) % 0.39/0.67 (define @t171 () (and @t170 @t169)) % 0.39/0.67 (define @t172 () (= tptp.n0 tptp.n4)) % 0.39/0.67 (define @t173 () (and @t172 @t170)) % 0.39/0.67 (define @t174 () (= tptp.n3 tptp.n4)) % 0.39/0.67 (define @t175 () (and @t174 @t169)) % 0.39/0.67 (define @t176 () (and @t174 @t172)) % 0.39/0.67 (define @t177 () (= tptp.n0 tptp.n3)) % 0.39/0.67 (define @t178 () (and @t177 @t170)) % 0.39/0.67 (define @t179 () (and @t177 @t174)) % 0.39/0.67 (define @t180 () (= tptp.n0 tptp.n2)) % 0.39/0.67 (define @t181 () (and @t180 @t170)) % 0.39/0.67 (define @t182 () (and @t180 @t174)) % 0.39/0.67 (define @t183 () (= tptp.n2 tptp.n3)) % 0.39/0.67 (define @t184 () (and @t183 @t169)) % 0.39/0.67 (define @t185 () (and @t183 @t172)) % 0.39/0.67 (define @t186 () (= tptp.n0 tptp.n1)) % 0.39/0.67 (define @t187 () (and @t186 @t170)) % 0.39/0.67 (define @t188 () (and @t186 @t174)) % 0.39/0.67 (define @t189 () (= tptp.n1 tptp.n3)) % 0.39/0.67 (define @t190 () (and @t189 @t169)) % 0.39/0.67 (define @t191 () (and @t189 @t172)) % 0.39/0.67 (define @t192 () (and @t177 @t169)) % 0.39/0.67 (define @t193 () (and @t177 @t172)) % 0.39/0.67 (define @t194 () (not (tptp.leq tptp.n3 tptp.n5))) % 0.39/0.67 (define @t195 () (not (tptp.leq tptp.n0 tptp.n3))) % 0.39/0.67 (define @t196 () (not @t177)) % 0.39/0.67 (define @t197 () (not (tptp.leq tptp.n0 tptp.n5))) % 0.39/0.67 (define @t198 () (not (tptp.leq tptp.n0 tptp.n0))) % 0.39/0.67 (define @t199 () (or @t198 @t197 @t196 @t195 @t194 @t193 @t192 @t174 @t170 @t191 @t190 @t186 @t188 @t187 @t185 @t184 @t180 @t182 @t181 @t177 @t172 @t169 @t179 @t178 @t176 @t175 @t173 @t171)) % 0.39/0.67 (define @t200 () (or @t195 @t194 @t193 @t192 @t174 @t170 @t191 @t190 @t186 @t188 @t187 @t185 @t184 @t180 @t182 @t181 @t177 @t172 @t169 @t179 @t178 @t176 @t175 @t173 @t171)) % 0.39/0.67 (define @t201 () (= tptp.n3 tptp.n3)) % 0.39/0.67 (define @t202 () (not @t201)) % 0.39/0.67 (define @t203 () (and @t201 @t169)) % 0.39/0.67 (define @t204 () (and @t201 @t172)) % 0.39/0.67 (define @t205 () (and @t201 @t177)) % 0.39/0.67 (define @t206 () (and @t180 @t201)) % 0.39/0.67 (define @t207 () (= tptp.n3 tptp.n2)) % 0.39/0.67 (define @t208 () (and @t207 @t169)) % 0.39/0.67 (define @t209 () (and @t207 @t172)) % 0.39/0.67 (define @t210 () (and @t186 @t201)) % 0.39/0.67 (define @t211 () (= tptp.n3 tptp.n1)) % 0.39/0.67 (define @t212 () (and @t211 @t169)) % 0.39/0.67 (define @t213 () (and @t211 @t172)) % 0.39/0.67 (define @t214 () (or @t195 @t194 @t193 @t192 @t174 @t170 @t213 @t212 @t210 @t188 @t187 @t209 @t208 @t206 @t182 @t181 @t205 @t204 @t203 @t179 @t178 @t176 @t175 @t173 @t171 @t202)) % 0.39/0.67 (define @t215 () (= @t53 tptp.n3)) % 0.39/0.67 (define @t216 () (not @t215)) % 0.39/0.67 (define @t217 () (= @t53 tptp.n5)) % 0.39/0.67 (define @t218 () (and @t217 @t169)) % 0.39/0.67 (define @t219 () (and @t172 @t217)) % 0.39/0.67 (define @t220 () (= @t53 tptp.n4)) % 0.39/0.67 (define @t221 () (and @t220 @t169)) % 0.39/0.67 (define @t222 () (and @t220 @t172)) % 0.39/0.67 (define @t223 () (and @t177 @t217)) % 0.39/0.67 (define @t224 () (and @t177 @t220)) % 0.39/0.67 (define @t225 () (and @t215 @t169)) % 0.39/0.67 (define @t226 () (and @t215 @t172)) % 0.39/0.67 (define @t227 () (and @t215 @t177)) % 0.39/0.67 (define @t228 () (and @t180 @t217)) % 0.39/0.67 (define @t229 () (and @t180 @t220)) % 0.39/0.67 (define @t230 () (and @t180 @t215)) % 0.39/0.67 (define @t231 () (= @t53 tptp.n2)) % 0.39/0.67 (define @t232 () (and @t231 @t169)) % 0.39/0.67 (define @t233 () (and @t231 @t172)) % 0.39/0.67 (define @t234 () (and @t186 @t217)) % 0.39/0.67 (define @t235 () (and @t186 @t220)) % 0.39/0.67 (define @t236 () (and @t186 @t215)) % 0.39/0.67 (define @t237 () (= @t53 tptp.n1)) % 0.39/0.67 (define @t238 () (and @t237 @t169)) % 0.39/0.67 (define @t239 () (and @t237 @t172)) % 0.39/0.67 (define @t240 () (and @t128 @t169)) % 0.39/0.67 (define @t241 () (and @t128 @t172)) % 0.39/0.67 (define @t242 () (not @t136)) % 0.39/0.67 (define @t243 () (not @t138)) % 0.39/0.67 (define @t244 () (or @t216 @t243 @t242 @t241 @t240 @t220 @t217 @t239 @t238 @t236 @t235 @t234 @t233 @t232 @t230 @t229 @t228 @t227 @t226 @t225 @t224 @t223 @t222 @t221 @t219 @t218 @t216)) % 0.39/0.67 (define @t245 () (@list @t53)) % 0.39/0.67 (define @t246 () (or @t243 @t242 @t241 @t240 @t220 @t217 @t239 @t238 @t236 @t235 @t234 @t233 @t232 @t230 @t229 @t228 @t227 @t226 @t225 @t224 @t223 @t222 @t221 @t219 @t218 @t216)) % 0.39/0.67 (define @t247 () (forall @t245 @t246)) % 0.39/0.67 (define @t248 () (or @t198 @t197 @t196 @t247)) % 0.39/0.67 (define @t249 () (or @t198 @t197 @t196 @t246)) % 0.39/0.67 (define @t250 () (or @t243 @t242 @t198 @t197 @t241 @t240 @t220 @t217 @t239 @t238 @t236 @t235 @t234 @t233 @t232 @t230 @t229 @t228 @t227 @t226 @t225 @t224 @t223 @t222 @t221 @t219 @t218 @t216 @t196)) % 0.39/0.67 (define @t251 () (= tptp.n0 tptp.n0)) % 0.39/0.67 (define @t252 () (not @t251)) % 0.39/0.67 (define @t253 () (and @t251 @t217)) % 0.39/0.67 (define @t254 () (and @t251 @t220)) % 0.39/0.67 (define @t255 () (or @t243 @t242 @t198 @t197 @t241 @t240 @t254 @t253 @t239 @t238 @t236 @t235 @t234 @t233 @t232 @t230 @t229 @t228 @t227 @t226 @t225 @t224 @t223 @t222 @t221 @t219 @t218 @t252 @t216 @t196)) % 0.39/0.67 (define @t256 () (= @t54 tptp.n3)) % 0.39/0.67 (define @t257 () (not @t256)) % 0.39/0.67 (define @t258 () (not @t77)) % 0.39/0.67 (define @t259 () (= @t54 tptp.n5)) % 0.39/0.67 (define @t260 () (and @t217 @t259)) % 0.39/0.67 (define @t261 () (= @t54 tptp.n4)) % 0.39/0.67 (define @t262 () (and @t261 @t217)) % 0.39/0.67 (define @t263 () (and @t220 @t259)) % 0.39/0.67 (define @t264 () (and @t220 @t261)) % 0.39/0.67 (define @t265 () (and @t256 @t217)) % 0.39/0.67 (define @t266 () (and @t256 @t220)) % 0.39/0.67 (define @t267 () (and @t215 @t259)) % 0.39/0.67 (define @t268 () (and @t215 @t261)) % 0.39/0.67 (define @t269 () (and @t215 @t256)) % 0.39/0.67 (define @t270 () (= @t54 tptp.n2)) % 0.39/0.67 (define @t271 () (and @t270 @t217)) % 0.39/0.67 (define @t272 () (and @t270 @t220)) % 0.39/0.67 (define @t273 () (and @t270 @t215)) % 0.39/0.67 (define @t274 () (and @t231 @t259)) % 0.39/0.67 (define @t275 () (and @t231 @t261)) % 0.39/0.67 (define @t276 () (= @t54 tptp.n1)) % 0.39/0.67 (define @t277 () (and @t276 @t217)) % 0.39/0.67 (define @t278 () (and @t276 @t220)) % 0.39/0.67 (define @t279 () (and @t276 @t215)) % 0.39/0.67 (define @t280 () (and @t237 @t259)) % 0.39/0.67 (define @t281 () (and @t237 @t261)) % 0.39/0.67 (define @t282 () (and @t77 @t217)) % 0.39/0.67 (define @t283 () (and @t77 @t220)) % 0.39/0.67 (define @t284 () (and @t128 @t259)) % 0.39/0.67 (define @t285 () (and @t128 @t261)) % 0.39/0.67 (define @t286 () (not @t135)) % 0.39/0.67 (define @t287 () (not @t137)) % 0.39/0.67 (define @t288 () (@list @t54)) % 0.39/0.67 (define @t289 () (or @t258 @t243 @t242 @t287 @t286 @t285 @t284 @t283 @t282 @t281 @t280 @t279 @t278 @t277 @t275 @t274 @t273 @t272 @t271 @t269 @t268 @t267 @t266 @t265 @t264 @t263 @t262 @t260 @t258 @t216 @t257)) % 0.39/0.67 (define @t290 () (or @t243 @t242 @t287 @t286 @t285 @t284 @t283 @t282 @t281 @t280 @t279 @t278 @t277 @t275 @t274 @t273 @t272 @t271 @t269 @t268 @t267 @t266 @t265 @t264 @t263 @t262 @t260 @t258 @t216 @t257)) % 0.39/0.67 (define @t291 () (forall @t288 @t290)) % 0.39/0.67 (define @t292 () (forall @t245 @t291)) % 0.39/0.67 (define @t293 () (forall @t141 @t290)) % 0.39/0.67 (define @t294 () (or @t74 @t293)) % 0.39/0.67 (define @t295 () (or @t74 @t290)) % 0.39/0.67 (define @t296 () (or @t243 @t287 @t242 @t286 @t285 @t284 @t283 @t282 @t281 @t280 @t279 @t278 @t277 @t275 @t274 @t273 @t272 @t271 @t269 @t268 @t267 @t266 @t265 @t264 @t263 @t262 @t260 @t258 @t216 @t257 @t74)) % 0.39/0.67 (define @t297 () (or @t285 @t284 @t283 @t282 @t281 @t280 @t279 @t278 @t277 @t275 @t274 @t273 @t272 @t271 @t269 @t268 @t267 @t266 @t265 @t264 @t263 @t262 @t260 @t258 @t216 @t257 @t74)) % 0.39/0.67 (define @t298 () (or @t243 @t287 @t242 @t286)) % 0.39/0.67 (define @t299 () (not @t260)) % 0.39/0.67 (define @t300 () (not @t299)) % 0.39/0.67 (define @t301 () (not @t262)) % 0.39/0.67 (define @t302 () (not @t301)) % 0.39/0.67 (define @t303 () (not @t263)) % 0.39/0.67 (define @t304 () (not @t303)) % 0.39/0.67 (define @t305 () (not @t264)) % 0.39/0.67 (define @t306 () (not @t305)) % 0.39/0.67 (define @t307 () (not @t265)) % 0.39/0.67 (define @t308 () (not @t307)) % 0.39/0.67 (define @t309 () (not @t266)) % 0.39/0.67 (define @t310 () (not @t309)) % 0.39/0.67 (define @t311 () (not @t267)) % 0.39/0.67 (define @t312 () (not @t311)) % 0.39/0.67 (define @t313 () (not @t268)) % 0.39/0.67 (define @t314 () (not @t313)) % 0.39/0.67 (define @t315 () (not @t269)) % 0.39/0.67 (define @t316 () (not @t315)) % 0.39/0.67 (define @t317 () (not @t271)) % 0.39/0.67 (define @t318 () (not @t317)) % 0.39/0.67 (define @t319 () (not @t272)) % 0.39/0.67 (define @t320 () (not @t319)) % 0.39/0.67 (define @t321 () (not @t273)) % 0.39/0.67 (define @t322 () (not @t321)) % 0.39/0.67 (define @t323 () (not @t274)) % 0.39/0.67 (define @t324 () (not @t323)) % 0.39/0.67 (define @t325 () (not @t275)) % 0.39/0.67 (define @t326 () (not @t325)) % 0.39/0.67 (define @t327 () (not @t277)) % 0.39/0.67 (define @t328 () (not @t327)) % 0.39/0.67 (define @t329 () (not @t278)) % 0.39/0.67 (define @t330 () (not @t329)) % 0.39/0.67 (define @t331 () (not @t279)) % 0.39/0.67 (define @t332 () (not @t331)) % 0.39/0.67 (define @t333 () (not @t280)) % 0.39/0.67 (define @t334 () (not @t333)) % 0.39/0.67 (define @t335 () (not @t281)) % 0.39/0.67 (define @t336 () (not @t335)) % 0.39/0.67 (define @t337 () (not @t282)) % 0.39/0.67 (define @t338 () (not @t337)) % 0.39/0.67 (define @t339 () (not @t283)) % 0.39/0.67 (define @t340 () (not @t339)) % 0.39/0.67 (define @t341 () (not @t284)) % 0.39/0.67 (define @t342 () (not @t341)) % 0.39/0.67 (define @t343 () (not @t285)) % 0.39/0.67 (define @t344 () (not @t343)) % 0.39/0.67 (define @t345 () (or @t344 @t342 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322 @t320 @t318 @t316 @t314 @t312 @t310 @t308 @t306 @t304 @t302 @t300 @t258 @t216 @t257)) % 0.39/0.67 (define @t346 () (and @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t315 @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256)) % 0.39/0.67 (define @t347 () (=> @t346 @t74)) % 0.39/0.67 (define @t348 () (not @t144)) % 0.39/0.67 (define @t349 () (not @t145)) % 0.39/0.67 (define @t350 () (not @t146)) % 0.39/0.67 (define @t351 () (not @t147)) % 0.39/0.67 (define @t352 () (or @t351 @t350 @t349 @t348)) % 0.39/0.67 (define @t353 () (not @t151)) % 0.39/0.67 (define @t354 () (not @t152)) % 0.39/0.67 (define @t355 () (not @t153)) % 0.39/0.67 (define @t356 () (not @t154)) % 0.39/0.67 (define @t357 () (or @t356 @t355 @t354 @t353)) % 0.39/0.67 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.39/0.67 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.39/0.67 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.39/0.67 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.39/0.67 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.39/0.67 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.39/0.67 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.39/0.67 (assume @p8 (forall @t6 (=> @t4 @t10))) % 0.39/0.67 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.39/0.67 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.39/0.67 (assume @p11 (forall @t9 (tptp.gt @t11 @t2))) % 0.39/0.67 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t12)))) % 0.39/0.67 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t12 @t2)))) % 0.39/0.67 (assume @p14 (forall @t16 (=> @t15 (tptp.leq @t14 @t2)))) % 0.39/0.67 (assume @p15 (forall @t16 (=> @t15 (tptp.leq tptp.n0 @t14)))) % 0.39/0.67 (assume @p16 (forall (@list @t18 @t20 @t19 @t17) (=> (and (tptp.leq @t20 @t18) @t21) (= (tptp.a_select2 (tptp.tptp_const_array1 (tptp.dim @t20 @t19) @t17) @t18) @t17)))) % 0.39/0.67 (assume @p17 (forall (@list @t18 @t26 @t25 @t22 @t24 @t23 @t17) (=> (and (tptp.leq @t26 @t18) (tptp.leq @t18 @t25) (tptp.leq @t24 @t22) (tptp.leq @t22 @t23)) (= (tptp.a_select3 (tptp.tptp_const_array2 (tptp.dim @t26 @t25) (tptp.dim @t24 @t23) @t17) @t18 @t22) @t17)))) % 0.39/0.67 (assume @p18 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t28 @t18 @t22) (tptp.a_select3 @t28 @t22 @t18))))))) % 0.39/0.67 (assume @p19 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t38 @t18 @t22) (tptp.a_select3 @t38 @t22 @t18))))))) % 0.39/0.67 (assume @p20 (forall @t37 (=> @t36 (forall (@list @t18 @t22 @t40 @t39) (=> (and @t33 @t32 @t31 @t30 (tptp.leq tptp.n0 @t40) (tptp.leq @t40 @t29)) (= (tptp.a_select3 @t41 @t18 @t22) (tptp.a_select3 @t41 @t22 @t18))))))) % 0.39/0.67 (assume @p21 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t43 @t18 @t22) (tptp.a_select3 @t43 @t22 @t18))))))) % 0.39/0.67 (assume @p22 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t48 @t18 @t22) (tptp.a_select3 @t48 @t22 @t18))))))) % 0.39/0.67 (assume @p23 (forall @t47 (=> @t45 @t50))) % 0.39/0.67 (assume @p24 (forall (@list @t27 @t42 @t29 @t51) (=> (forall @t35 (=> @t52 @t44)) @t50))) % 0.39/0.67 (assume @p25 (forall (@list @t27 @t42 @t13 @t55 @t53 @t54 @t29 @t51) (=> (and (forall @t35 (=> @t52 (= (tptp.a_select3 @t55 @t18 @t22) (tptp.a_select3 @t55 @t22 @t18)))) @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t54 @t18 @t22) (tptp.a_select3 @t54 @t22 @t18))))) (forall @t35 (=> @t34 (= (tptp.a_select3 @t56 @t18 @t22) (tptp.a_select3 @t56 @t22 @t18))))))) % 0.39/0.67 (assume @p26 (forall @t59 (= @t58 tptp.n0))) % 0.39/0.67 (assume @p27 (forall @t59 (= tptp.tptp_float_0_0 @t58))) % 0.39/0.67 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.39/0.67 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t11))) % 0.39/0.67 (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t11))) % 0.39/0.67 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t60))) % 0.39/0.67 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t60))) % 0.39/0.67 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t61))) % 0.39/0.67 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t61))) % 0.39/0.67 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t62))) % 0.39/0.67 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t62))) % 0.39/0.67 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t63))) % 0.39/0.67 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t63))) % 0.39/0.67 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t64))) % 0.39/0.67 (assume @p40 (forall @t9 (= (tptp.pred @t11) @t2))) % 0.39/0.67 (assume @p41 (forall @t9 (= (tptp.succ @t64) @t2))) % 0.39/0.67 (assume @p42 (forall @t6 (= (tptp.leq @t11 @t12) @t10))) % 0.39/0.67 (assume @p43 (forall @t6 (=> (tptp.leq @t11 @t1) @t4))) % 0.39/0.67 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.39/0.67 (assume @p45 (forall (@list @t2 @t19 @t65 @t39) (= (tptp.a_select3 @t66 @t19 @t65) @t39))) % 0.39/0.67 (assume @p46 (forall (@list @t18 @t22 @t19 @t65 @t2 @t39 @t67) (=> (and @t68 (= @t22 @t65) (= (tptp.a_select3 @t2 @t19 @t65) @t39)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t18 @t22 @t67) @t19 @t65) @t39)))) % 0.39/0.67 (assume @p47 (forall (@list @t18 @t22 @t19 @t65 @t2 @t39) (=> (and (forall (@list @t70 @t69) (=> (and @t72 (tptp.leq tptp.n0 @t69) @t71 (tptp.leq @t69 @t65)) (= (tptp.a_select3 @t2 @t70 @t69) @t39))) @t33 @t21 @t31 (tptp.leq @t22 @t65)) (= (tptp.a_select3 @t66 @t18 @t22) @t39)))) % 0.39/0.67 (assume @p48 (forall (@list @t2 @t19 @t39) (= (tptp.a_select2 @t73 @t19) @t39))) % 0.39/0.67 (assume @p49 (forall (@list @t18 @t19 @t2 @t39 @t67) (=> (and @t68 (= (tptp.a_select2 @t2 @t19) @t39)) (= (tptp.a_select2 (tptp.tptp_update2 @t2 @t18 @t67) @t19) @t39)))) % 0.39/0.67 (assume @p50 (forall (@list @t18 @t19 @t2 @t39) (=> (and (forall (@list @t70) (=> (and @t72 @t71) (= (tptp.a_select2 @t2 @t70) @t39))) @t33 @t21) (= (tptp.a_select2 @t73 @t18) @t39)))) % 0.39/0.67 (assume @p51 tptp.true) % 0.39/0.67 (assume @p52 (not (= tptp.def tptp.use))) % 0.39/0.67 (assume @p53 @t159) % 0.39/0.67 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.39/0.67 (assume @p55 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.39/0.67 (assume @p56 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.39/0.67 (assume @p57 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.39/0.67 (assume @p58 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.39/0.67 (assume @p59 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.39/0.67 (assume @p60 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.39/0.67 (assume @p61 (tptp.gt tptp.n4 tptp.n0)) % 0.39/0.67 (assume @p62 (tptp.gt tptp.n5 tptp.n0)) % 0.39/0.67 (assume @p63 (tptp.gt tptp.n1 tptp.n0)) % 0.39/0.67 (assume @p64 (tptp.gt tptp.n2 tptp.n0)) % 0.39/0.67 (assume @p65 (tptp.gt tptp.n3 tptp.n0)) % 0.39/0.67 (assume @p66 (tptp.gt tptp.n4 tptp.n1)) % 0.39/0.67 (assume @p67 (tptp.gt tptp.n5 tptp.n1)) % 0.39/0.67 (assume @p68 (tptp.gt tptp.n2 tptp.n1)) % 0.39/0.67 (assume @p69 (tptp.gt tptp.n3 tptp.n1)) % 0.39/0.67 (assume @p70 (tptp.gt tptp.n4 tptp.n2)) % 0.39/0.67 (assume @p71 (tptp.gt tptp.n5 tptp.n2)) % 0.39/0.67 (assume @p72 (tptp.gt tptp.n3 tptp.n2)) % 0.39/0.67 (assume @p73 (tptp.gt tptp.n4 tptp.n3)) % 0.39/0.67 (assume @p74 (tptp.gt tptp.n5 tptp.n3)) % 0.39/0.67 (assume @p75 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n4)) (or @t164 @t163 @t162 @t161 @t160)))) % 0.39/0.67 (assume @p76 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n5)) (or @t164 @t163 @t162 @t161 @t160 (= @t2 tptp.n5))))) % 0.39/0.67 (assume @p77 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n0)) @t164))) % 0.39/0.67 (assume @p78 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n1)) (or @t164 @t163)))) % 0.39/0.67 (assume @p79 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n2)) (or @t164 @t163 @t162)))) % 0.39/0.67 (assume @p80 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n3)) (or @t164 @t163 @t162 @t161)))) % 0.39/0.67 (assume @p81 (= @t168 tptp.n4)) % 0.39/0.67 (assume @p82 (= (tptp.succ @t168) tptp.n5)) % 0.39/0.67 (assume @p83 (= @t165 tptp.n1)) % 0.39/0.67 (assume @p84 (= @t166 tptp.n2)) % 0.39/0.67 (assume @p85 (= @t167 tptp.n3)) % 0.39/0.67 (assume @p86 true) % 0.39/0.67 (step @p87 :rule aci_norm :args ((= (or @t74 @t199) (or @t74 @t198 @t197 @t196 @t195 @t194 @t193 @t192 @t174 @t170 @t191 @t190 @t186 @t188 @t187 @t185 @t184 @t180 @t182 @t181 @t177 @t172 @t169 @t179 @t178 @t176 @t175 @t173 @t171)))) % 0.39/0.67 (step @p88 :rule aci_norm :args ((= (or @t198 @t197 @t196 @t200) @t199))) % 0.39/0.67 (step @p89 :rule aci_norm :args ((= (or @t195 @t194 @t193 @t192 @t174 @t170 @t191 @t190 @t186 @t188 @t187 @t185 @t184 @t180 @t182 @t181 @t177 @t172 @t169 @t179 @t178 @t176 @t175 @t173 @t171 false) @t200))) % 0.39/0.67 (step @p90 :rule evaluate :args ((not true))) % 0.39/0.67 (step @p91 :rule eq-refl :args (tptp.n3)) % 0.39/0.67 (step @p92 :rule cong :premises (@p91) :args (@t202)) % 0.39/0.67 (step @p93 :rule trans :premises (@p92 @p90)) % 0.39/0.67 (step @p94 :rule refl :args (@t171)) % 0.39/0.67 (step @p95 :rule refl :args (@t173)) % 0.39/0.67 (step @p96 :rule refl :args (@t175)) % 0.39/0.67 (step @p97 :rule refl :args (@t176)) % 0.39/0.67 (step @p98 :rule refl :args (@t178)) % 0.39/0.67 (step @p99 :rule refl :args (@t179)) % 0.39/0.67 (step @p100 :rule aci_norm :args ((= (and true @t169) @t169))) % 0.39/0.67 (step @p101 :rule refl :args (@t169)) % 0.39/0.67 (step @p102 :rule nary_cong :premises (@p91 @p101) :args (@t203)) % 0.39/0.67 (step @p103 :rule trans :premises (@p102 @p100)) % 0.39/0.67 (step @p104 :rule aci_norm :args ((= (and true @t172) @t172))) % 0.39/0.67 (step @p105 :rule refl :args (@t172)) % 0.39/0.67 (step @p106 :rule nary_cong :premises (@p91 @p105) :args (@t204)) % 0.39/0.67 (step @p107 :rule trans :premises (@p106 @p104)) % 0.39/0.67 (step @p108 :rule aci_norm :args ((= (and true @t177) @t177))) % 0.39/0.67 (step @p109 :rule refl :args (@t177)) % 0.39/0.67 (step @p110 :rule nary_cong :premises (@p91 @p109) :args (@t205)) % 0.39/0.67 (step @p111 :rule trans :premises (@p110 @p108)) % 0.39/0.67 (step @p112 :rule refl :args (@t181)) % 0.39/0.67 (step @p113 :rule refl :args (@t182)) % 0.39/0.67 (step @p114 :rule aci_norm :args ((= (and @t180 true) @t180))) % 0.39/0.67 (step @p115 :rule refl :args (@t180)) % 0.39/0.67 (step @p116 :rule nary_cong :premises (@p115 @p91) :args (@t206)) % 0.39/0.67 (step @p117 :rule trans :premises (@p116 @p114)) % 0.39/0.67 (step @p118 :rule eq-symm :args (tptp.n3 tptp.n2)) % 0.39/0.67 (step @p119 :rule nary_cong :premises (@p118 @p101) :args (@t208)) % 0.39/0.67 (step @p120 :rule nary_cong :premises (@p118 @p105) :args (@t209)) % 0.39/0.67 (step @p121 :rule refl :args (@t187)) % 0.39/0.67 (step @p122 :rule refl :args (@t188)) % 0.39/0.67 (step @p123 :rule aci_norm :args ((= (and @t186 true) @t186))) % 0.39/0.67 (step @p124 :rule refl :args (@t186)) % 0.39/0.67 (step @p125 :rule nary_cong :premises (@p124 @p91) :args (@t210)) % 0.39/0.67 (step @p126 :rule trans :premises (@p125 @p123)) % 0.39/0.67 (step @p127 :rule eq-symm :args (tptp.n3 tptp.n1)) % 0.39/0.67 (step @p128 :rule nary_cong :premises (@p127 @p101) :args (@t212)) % 0.39/0.67 (step @p129 :rule nary_cong :premises (@p127 @p105) :args (@t213)) % 0.39/0.67 (step @p130 :rule refl :args (@t170)) % 0.39/0.67 (step @p131 :rule refl :args (@t174)) % 0.39/0.67 (step @p132 :rule refl :args (@t192)) % 0.39/0.67 (step @p133 :rule refl :args (@t193)) % 0.39/0.67 (step @p134 :rule refl :args (@t194)) % 0.39/0.67 (step @p135 :rule refl :args (@t195)) % 0.39/0.67 (step @p136 :rule nary_cong :premises (@p135 @p134 @p133 @p132 @p131 @p130 @p129 @p128 @p126 @p122 @p121 @p120 @p119 @p117 @p113 @p112 @p111 @p107 @p103 @p99 @p98 @p97 @p96 @p95 @p94 @p93) :args (@t214)) % 0.39/0.67 (step @p137 :rule trans :premises (@p136 @p89)) % 0.39/0.67 (step @p138 :rule quant-var-elim-eq :args ((= (forall @t245 @t244) @t214))) % 0.39/0.67 (step @p139 :rule aci_norm :args ((= @t246 @t244))) % 0.39/0.67 (step @p140 :rule cong :premises (@p139) :args (@t247)) % 0.39/0.67 (step @p141 :rule trans :premises (@p140 @p138)) % 0.39/0.67 (step @p142 :rule trans :premises (@p141 @p137)) % 0.39/0.67 (step @p143 :rule refl :args (@t196)) % 0.39/0.67 (step @p144 :rule refl :args (@t197)) % 0.39/0.67 (step @p145 :rule refl :args (@t198)) % 0.39/0.67 (step @p146 :rule nary_cong :premises (@p145 @p144 @p143 @p142) :args (@t248)) % 0.39/0.67 (step @p147 :rule trans :premises (@p146 @p88)) % 0.39/0.67 (step @p148 :rule quant-miniscope-or :args ((= (forall @t245 @t249) @t248))) % 0.39/0.67 (step @p149 :rule aci_norm :args ((= @t250 @t249))) % 0.39/0.67 (step @p150 :rule cong :premises (@p149) :args ((forall @t245 @t250))) % 0.39/0.67 (step @p151 :rule trans :premises (@p150 @p148)) % 0.39/0.67 (step @p152 :rule trans :premises (@p151 @p147)) % 0.39/0.67 (step @p153 :rule aci_norm :args ((= (or @t243 @t242 @t198 @t197 @t241 @t240 @t220 @t217 @t239 @t238 @t236 @t235 @t234 @t233 @t232 @t230 @t229 @t228 @t227 @t226 @t225 @t224 @t223 @t222 @t221 @t219 @t218 false @t216 @t196) @t250))) % 0.39/0.67 (step @p154 :rule refl :args (@t216)) % 0.39/0.67 (step @p155 :rule eq-refl :args (tptp.n0)) % 0.39/0.67 (step @p156 :rule cong :premises (@p155) :args (@t252)) % 0.39/0.67 (step @p157 :rule trans :premises (@p156 @p90)) % 0.39/0.67 (step @p158 :rule refl :args (@t218)) % 0.39/0.67 (step @p159 :rule refl :args (@t219)) % 0.39/0.67 (step @p160 :rule refl :args (@t221)) % 0.39/0.67 (step @p161 :rule refl :args (@t222)) % 0.39/0.67 (step @p162 :rule refl :args (@t223)) % 0.39/0.67 (step @p163 :rule refl :args (@t224)) % 0.39/0.67 (step @p164 :rule refl :args (@t225)) % 0.39/0.67 (step @p165 :rule refl :args (@t226)) % 0.39/0.67 (step @p166 :rule refl :args (@t227)) % 0.39/0.67 (step @p167 :rule refl :args (@t228)) % 0.39/0.67 (step @p168 :rule refl :args (@t229)) % 0.39/0.67 (step @p169 :rule refl :args (@t230)) % 0.39/0.67 (step @p170 :rule refl :args (@t232)) % 0.39/0.67 (step @p171 :rule refl :args (@t233)) % 0.39/0.67 (step @p172 :rule refl :args (@t234)) % 0.39/0.67 (step @p173 :rule refl :args (@t235)) % 0.39/0.67 (step @p174 :rule refl :args (@t236)) % 0.39/0.67 (step @p175 :rule refl :args (@t238)) % 0.39/0.67 (step @p176 :rule refl :args (@t239)) % 0.39/0.67 (step @p177 :rule aci_norm :args ((= (and true @t217) @t217))) % 0.39/0.67 (step @p178 :rule refl :args (@t217)) % 0.39/0.67 (step @p179 :rule nary_cong :premises (@p155 @p178) :args (@t253)) % 0.39/0.67 (step @p180 :rule trans :premises (@p179 @p177)) % 0.39/0.67 (step @p181 :rule aci_norm :args ((= (and true @t220) @t220))) % 0.39/0.67 (step @p182 :rule refl :args (@t220)) % 0.39/0.67 (step @p183 :rule nary_cong :premises (@p155 @p182) :args (@t254)) % 0.39/0.67 (step @p184 :rule trans :premises (@p183 @p181)) % 0.39/0.67 (step @p185 :rule refl :args (@t240)) % 0.39/0.67 (step @p186 :rule refl :args (@t241)) % 0.39/0.67 (step @p187 :rule refl :args (@t242)) % 0.39/0.67 (step @p188 :rule refl :args (@t243)) % 0.39/0.67 (step @p189 :rule nary_cong :premises (@p188 @p187 @p145 @p144 @p186 @p185 @p184 @p180 @p176 @p175 @p174 @p173 @p172 @p171 @p170 @p169 @p168 @p167 @p166 @p165 @p164 @p163 @p162 @p161 @p160 @p159 @p158 @p157 @p154 @p143) :args (@t255)) % 0.39/0.67 (step @p190 :rule trans :premises (@p189 @p153)) % 0.39/0.67 (step @p191 :rule cong :premises (@p190) :args ((forall @t245 @t255))) % 0.39/0.67 (step @p192 :rule trans :premises (@p191 @p152)) % 0.39/0.67 (step @p193 :rule quant-var-elim-eq :args ((= (forall @t288 (or (not (= @t54 tptp.n0)) @t243 @t242 @t287 @t286 @t285 @t284 @t283 @t282 @t281 @t280 @t279 @t278 @t277 @t275 @t274 @t273 @t272 @t271 @t269 @t268 @t267 @t266 @t265 @t264 @t263 @t262 @t260 @t258 @t216 @t257)) @t255))) % 0.39/0.67 (step @p194 :rule refl :args (@t257)) % 0.39/0.67 (step @p195 :rule refl :args (@t216)) % 0.39/0.67 (step @p196 :rule refl :args (@t258)) % 0.39/0.67 (step @p197 :rule refl :args (@t260)) % 0.39/0.67 (step @p198 :rule refl :args (@t262)) % 0.39/0.67 (step @p199 :rule refl :args (@t263)) % 0.39/0.67 (step @p200 :rule refl :args (@t264)) % 0.39/0.67 (step @p201 :rule refl :args (@t265)) % 0.39/0.67 (step @p202 :rule refl :args (@t266)) % 0.39/0.67 (step @p203 :rule refl :args (@t267)) % 0.39/0.67 (step @p204 :rule refl :args (@t268)) % 0.39/0.67 (step @p205 :rule refl :args (@t269)) % 0.39/0.67 (step @p206 :rule refl :args (@t271)) % 0.39/0.67 (step @p207 :rule refl :args (@t272)) % 0.39/0.67 (step @p208 :rule refl :args (@t273)) % 0.39/0.67 (step @p209 :rule refl :args (@t274)) % 0.39/0.67 (step @p210 :rule refl :args (@t275)) % 0.39/0.67 (step @p211 :rule refl :args (@t277)) % 0.39/0.67 (step @p212 :rule refl :args (@t278)) % 0.39/0.67 (step @p213 :rule refl :args (@t279)) % 0.39/0.67 (step @p214 :rule refl :args (@t280)) % 0.39/0.67 (step @p215 :rule refl :args (@t281)) % 0.39/0.67 (step @p216 :rule refl :args (@t282)) % 0.39/0.67 (step @p217 :rule refl :args (@t283)) % 0.39/0.67 (step @p218 :rule refl :args (@t284)) % 0.39/0.67 (step @p219 :rule refl :args (@t285)) % 0.39/0.67 (step @p220 :rule refl :args (@t286)) % 0.39/0.67 (step @p221 :rule refl :args (@t287)) % 0.39/0.67 (step @p222 :rule refl :args (@t242)) % 0.39/0.67 (step @p223 :rule refl :args (@t243)) % 0.39/0.67 (step @p224 :rule eq-symm :args (tptp.n0 @t54)) % 0.39/0.67 (step @p225 :rule cong :premises (@p224) :args (@t258)) % 0.39/0.67 (step @p226 :rule nary_cong :premises (@p225 @p223 @p222 @p221 @p220 @p219 @p218 @p217 @p216 @p215 @p214 @p213 @p212 @p211 @p210 @p209 @p208 @p207 @p206 @p205 @p204 @p203 @p202 @p201 @p200 @p199 @p198 @p197 @p196 @p195 @p194) :args (@t289)) % 0.39/0.67 (step @p227 :rule aci_norm :args ((= @t290 @t289))) % 0.39/0.67 (step @p228 :rule trans :premises (@p227 @p226)) % 0.39/0.67 (step @p229 :rule cong :premises (@p228) :args (@t291)) % 0.39/0.67 (step @p230 :rule trans :premises (@p229 @p193)) % 0.39/0.67 (step @p231 :rule cong :premises (@p230) :args (@t292)) % 0.39/0.67 (step @p232 :rule quant-merge-prenex :args ((= @t292 @t293))) % 0.39/0.67 (step @p233 :rule symm :premises (@p232)) % 0.39/0.67 (step @p234 :rule trans :premises (@p233 @p231)) % 0.39/0.67 (step @p235 :rule trans :premises (@p234 @p192)) % 0.39/0.67 (step @p236 :rule refl :args (@t74)) % 0.39/0.67 (step @p237 :rule nary_cong :premises (@p236 @p235) :args (@t294)) % 0.39/0.67 (step @p238 :rule trans :premises (@p237 @p87)) % 0.39/0.67 (step @p239 :rule quant-miniscope-or :args ((= (forall @t141 @t295) @t294))) % 0.39/0.67 (step @p240 :rule aci_norm :args ((= @t296 @t295))) % 0.39/0.67 (step @p241 :rule cong :premises (@p240) :args ((forall @t141 @t296))) % 0.39/0.67 (step @p242 :rule trans :premises (@p241 @p239)) % 0.39/0.67 (step @p243 :rule trans :premises (@p242 @p238)) % 0.39/0.67 (step @p244 :rule aci_norm :args ((= (or @t298 @t297) @t296))) % 0.39/0.67 (step @p245 :rule aci_norm :args ((= (or (or @t285 @t284 @t283 @t282 @t281 @t280 @t279 @t278 @t277 @t275 @t274 @t273 @t272 @t271 @t269 @t268 @t267 @t266 @t265 @t264 @t263 @t262 @t260 @t258 @t216 @t257) @t74) @t297))) % 0.39/0.67 (step @p246 :rule refl :args (@t74)) % 0.39/0.67 (step @p247 :rule bool-double-not-elim :args (@t260)) % 0.39/0.67 (step @p248 :rule bool-double-not-elim :args (@t262)) % 0.39/0.67 (step @p249 :rule bool-double-not-elim :args (@t263)) % 0.39/0.67 (step @p250 :rule bool-double-not-elim :args (@t264)) % 0.39/0.67 (step @p251 :rule bool-double-not-elim :args (@t265)) % 0.39/0.67 (step @p252 :rule bool-double-not-elim :args (@t266)) % 0.39/0.67 (step @p253 :rule bool-double-not-elim :args (@t267)) % 0.39/0.67 (step @p254 :rule bool-double-not-elim :args (@t268)) % 0.39/0.67 (step @p255 :rule bool-double-not-elim :args (@t269)) % 0.39/0.67 (step @p256 :rule bool-double-not-elim :args (@t271)) % 0.39/0.67 (step @p257 :rule bool-double-not-elim :args (@t272)) % 0.39/0.67 (step @p258 :rule bool-double-not-elim :args (@t273)) % 0.39/0.67 (step @p259 :rule bool-double-not-elim :args (@t274)) % 0.39/0.67 (step @p260 :rule bool-double-not-elim :args (@t275)) % 0.39/0.67 (step @p261 :rule bool-double-not-elim :args (@t277)) % 0.39/0.67 (step @p262 :rule bool-double-not-elim :args (@t278)) % 0.39/0.67 (step @p263 :rule bool-double-not-elim :args (@t279)) % 0.39/0.67 (step @p264 :rule bool-double-not-elim :args (@t280)) % 0.39/0.67 (step @p265 :rule bool-double-not-elim :args (@t281)) % 0.39/0.67 (step @p266 :rule bool-double-not-elim :args (@t282)) % 0.39/0.67 (step @p267 :rule bool-double-not-elim :args (@t283)) % 0.39/0.67 (step @p268 :rule bool-double-not-elim :args (@t284)) % 0.39/0.67 (step @p269 :rule bool-double-not-elim :args (@t285)) % 0.39/0.67 (step @p270 :rule nary_cong :premises (@p269 @p268 @p267 @p266 @p265 @p264 @p263 @p262 @p261 @p260 @p259 @p258 @p257 @p256 @p255 @p254 @p253 @p252 @p251 @p250 @p249 @p248 @p247 @p196 @p195 @p194) :args (@t345)) % 0.39/0.67 (step @p271 :rule aci_norm :args ((= (or @t344 (or @t342 (or @t340 (or @t338 (or @t336 (or @t334 (or @t332 (or @t330 (or @t328 (or @t326 (or @t324 (or @t322 (or @t320 (or @t318 (or @t316 (or @t314 (or @t312 (or @t310 (or @t308 (or @t306 (or @t304 (or @t302 (or @t300 (or @t258 (or @t216 @t257))))))))))))))))))))))))) @t345))) % 0.39/0.67 (step @p272 :rule trans :premises (@p271 @p270)) % 0.39/0.67 (step @p273 :rule bool-and-de-morgan :args (@t215 @t256 true)) % 0.39/0.67 (step @p274 :rule nary_cong :premises (@p196 @p273) :args ((or @t258 @t315))) % 0.39/0.67 (step @p275 :rule bool-and-de-morgan :args (@t77 @t215 (and @t256))) % 0.39/0.67 (step @p276 :rule trans :premises (@p275 @p274)) % 0.39/0.67 (step @p277 :rule refl :args (@t300)) % 0.39/0.67 (step @p278 :rule nary_cong :premises (@p277 @p276) :args ((or @t300 (not (and @t77 @t215 @t256))))) % 0.39/0.67 (step @p279 :rule bool-and-de-morgan :args (@t299 @t77 (and @t215 @t256))) % 0.39/0.67 (step @p280 :rule trans :premises (@p279 @p278)) % 0.39/0.67 (step @p281 :rule refl :args (@t302)) % 0.39/0.67 (step @p282 :rule nary_cong :premises (@p281 @p280) :args ((or @t302 (not (and @t299 @t77 @t215 @t256))))) % 0.39/0.67 (step @p283 :rule bool-and-de-morgan :args (@t301 @t299 (and @t77 @t215 @t256))) % 0.39/0.67 (step @p284 :rule trans :premises (@p283 @p282)) % 0.39/0.67 (step @p285 :rule refl :args (@t304)) % 0.39/0.67 (step @p286 :rule nary_cong :premises (@p285 @p284) :args ((or @t304 (not (and @t301 @t299 @t77 @t215 @t256))))) % 0.39/0.67 (step @p287 :rule bool-and-de-morgan :args (@t303 @t301 (and @t299 @t77 @t215 @t256))) % 0.39/0.67 (step @p288 :rule trans :premises (@p287 @p286)) % 0.39/0.67 (step @p289 :rule refl :args (@t306)) % 0.39/0.67 (step @p290 :rule nary_cong :premises (@p289 @p288) :args ((or @t306 (not (and @t303 @t301 @t299 @t77 @t215 @t256))))) % 0.39/0.67 (step @p291 :rule bool-and-de-morgan :args (@t305 @t303 (and @t301 @t299 @t77 @t215 @t256))) % 0.39/0.67 (step @p292 :rule trans :premises (@p291 @p290)) % 0.39/0.67 (step @p293 :rule refl :args (@t308)) % 0.39/0.67 (step @p294 :rule nary_cong :premises (@p293 @p292) :args ((or @t308 (not (and @t305 @t303 @t301 @t299 @t77 @t215 @t256))))) % 0.39/0.67 (step @p295 :rule bool-and-de-morgan :args (@t307 @t305 (and @t303 @t301 @t299 @t77 @t215 @t256))) % 0.39/0.67 (step @p296 :rule trans :premises (@p295 @p294)) % 0.39/0.67 (step @p297 :rule refl :args (@t310)) % 0.39/0.67 (step @p298 :rule nary_cong :premises (@p297 @p296) :args ((or @t310 (not (and @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))))) % 0.39/0.67 (step @p299 :rule bool-and-de-morgan :args (@t309 @t307 (and @t305 @t303 @t301 @t299 @t77 @t215 @t256))) % 0.39/0.67 (step @p300 :rule trans :premises (@p299 @p298)) % 0.39/0.67 (step @p301 :rule refl :args (@t312)) % 0.39/0.67 (step @p302 :rule nary_cong :premises (@p301 @p300) :args ((or @t312 (not (and @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))))) % 0.39/0.67 (step @p303 :rule bool-and-de-morgan :args (@t311 @t309 (and @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))) % 0.39/0.67 (step @p304 :rule trans :premises (@p303 @p302)) % 0.39/0.67 (step @p305 :rule refl :args (@t314)) % 0.39/0.67 (step @p306 :rule nary_cong :premises (@p305 @p304) :args ((or @t314 (not (and @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))))) % 0.39/0.67 (step @p307 :rule bool-and-de-morgan :args (@t313 @t311 (and @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))) % 0.39/0.67 (step @p308 :rule trans :premises (@p307 @p306)) % 0.39/0.67 (step @p309 :rule refl :args (@t316)) % 0.39/0.67 (step @p310 :rule nary_cong :premises (@p309 @p308) :args ((or @t316 (not (and @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))))) % 0.39/0.67 (step @p311 :rule bool-and-de-morgan :args (@t315 @t313 (and @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))) % 0.39/0.67 (step @p312 :rule trans :premises (@p311 @p310)) % 0.39/0.67 (step @p313 :rule refl :args (@t318)) % 0.39/0.67 (step @p314 :rule nary_cong :premises (@p313 @p312) :args ((or @t318 (not (and @t315 @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))))) % 0.39/0.67 (step @p315 :rule bool-and-de-morgan :args (@t317 @t315 (and @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))) % 0.39/0.67 (step @p316 :rule trans :premises (@p315 @p314)) % 0.39/0.67 (step @p317 :rule refl :args (@t320)) % 0.39/0.67 (step @p318 :rule nary_cong :premises (@p317 @p316) :args ((or @t320 (not (and @t317 @t315 @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))))) % 0.39/0.67 (step @p319 :rule bool-and-de-morgan :args (@t319 @t317 (and @t315 @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))) % 0.39/0.67 (step @p320 :rule trans :premises (@p319 @p318)) % 0.39/0.67 (step @p321 :rule refl :args (@t322)) % 0.39/0.67 (step @p322 :rule nary_cong :premises (@p321 @p320) :args ((or @t322 (not (and @t319 @t317 @t315 @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))))) % 0.39/0.67 (step @p323 :rule bool-and-de-morgan :args (@t321 @t319 (and @t317 @t315 @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))) % 0.39/0.67 (step @p324 :rule trans :premises (@p323 @p322)) % 0.39/0.67 (step @p325 :rule refl :args (@t324)) % 0.39/0.67 (step @p326 :rule nary_cong :premises (@p325 @p324) :args ((or @t324 (not (and @t321 @t319 @t317 @t315 @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))))) % 0.39/0.67 (step @p327 :rule bool-and-de-morgan :args (@t323 @t321 (and @t319 @t317 @t315 @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))) % 0.39/0.67 (step @p328 :rule trans :premises (@p327 @p326)) % 0.39/0.67 (step @p329 :rule refl :args (@t326)) % 0.39/0.67 (step @p330 :rule nary_cong :premises (@p329 @p328) :args ((or @t326 (not (and @t323 @t321 @t319 @t317 @t315 @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))))) % 0.39/0.67 (step @p331 :rule bool-and-de-morgan :args (@t325 @t323 (and @t321 @t319 @t317 @t315 @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))) % 0.39/0.67 (step @p332 :rule trans :premises (@p331 @p330)) % 0.39/0.67 (step @p333 :rule refl :args (@t328)) % 0.39/0.67 (step @p334 :rule nary_cong :premises (@p333 @p332) :args ((or @t328 (not (and @t325 @t323 @t321 @t319 @t317 @t315 @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))))) % 0.39/0.67 (step @p335 :rule bool-and-de-morgan :args (@t327 @t325 (and @t323 @t321 @t319 @t317 @t315 @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))) % 0.39/0.67 (step @p336 :rule trans :premises (@p335 @p334)) % 0.39/0.67 (step @p337 :rule refl :args (@t330)) % 0.39/0.67 (step @p338 :rule nary_cong :premises (@p337 @p336) :args ((or @t330 (not (and @t327 @t325 @t323 @t321 @t319 @t317 @t315 @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))))) % 0.39/0.67 (step @p339 :rule bool-and-de-morgan :args (@t329 @t327 (and @t325 @t323 @t321 @t319 @t317 @t315 @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))) % 0.39/0.67 (step @p340 :rule trans :premises (@p339 @p338)) % 0.39/0.67 (step @p341 :rule refl :args (@t332)) % 0.39/0.67 (step @p342 :rule nary_cong :premises (@p341 @p340) :args ((or @t332 (not (and @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t315 @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))))) % 0.39/0.67 (step @p343 :rule bool-and-de-morgan :args (@t331 @t329 (and @t327 @t325 @t323 @t321 @t319 @t317 @t315 @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))) % 0.39/0.67 (step @p344 :rule trans :premises (@p343 @p342)) % 0.39/0.67 (step @p345 :rule refl :args (@t334)) % 0.39/0.67 (step @p346 :rule nary_cong :premises (@p345 @p344) :args ((or @t334 (not (and @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t315 @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))))) % 0.39/0.67 (step @p347 :rule bool-and-de-morgan :args (@t333 @t331 (and @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t315 @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))) % 0.39/0.67 (step @p348 :rule trans :premises (@p347 @p346)) % 0.39/0.67 (step @p349 :rule refl :args (@t336)) % 0.39/0.67 (step @p350 :rule nary_cong :premises (@p349 @p348) :args ((or @t336 (not (and @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t315 @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))))) % 0.39/0.67 (step @p351 :rule bool-and-de-morgan :args (@t335 @t333 (and @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t315 @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))) % 0.39/0.67 (step @p352 :rule trans :premises (@p351 @p350)) % 0.39/0.67 (step @p353 :rule refl :args (@t338)) % 0.39/0.67 (step @p354 :rule nary_cong :premises (@p353 @p352) :args ((or @t338 (not (and @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t315 @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))))) % 0.39/0.67 (step @p355 :rule bool-and-de-morgan :args (@t337 @t335 (and @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t315 @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))) % 0.39/0.67 (step @p356 :rule trans :premises (@p355 @p354)) % 0.39/0.67 (step @p357 :rule refl :args (@t340)) % 0.39/0.67 (step @p358 :rule nary_cong :premises (@p357 @p356) :args ((or @t340 (not (and @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t315 @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))))) % 0.39/0.67 (step @p359 :rule bool-and-de-morgan :args (@t339 @t337 (and @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t315 @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))) % 0.39/0.67 (step @p360 :rule trans :premises (@p359 @p358)) % 0.39/0.67 (step @p361 :rule refl :args (@t342)) % 0.39/0.67 (step @p362 :rule nary_cong :premises (@p361 @p360) :args ((or @t342 (not (and @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t315 @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))))) % 0.39/0.67 (step @p363 :rule bool-and-de-morgan :args (@t341 @t339 (and @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t315 @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))) % 0.39/0.67 (step @p364 :rule trans :premises (@p363 @p362)) % 0.39/0.67 (step @p365 :rule refl :args (@t344)) % 0.39/0.67 (step @p366 :rule nary_cong :premises (@p365 @p364) :args ((or @t344 (not (and @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t315 @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))))) % 0.39/0.67 (step @p367 :rule bool-and-de-morgan :args (@t343 @t341 (and @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t315 @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t77 @t215 @t256))) % 0.39/0.67 (step @p368 :rule trans :premises (@p367 @p366)) % 0.39/0.67 (step @p369 :rule trans :premises (@p368 @p272)) % 0.39/0.67 (step @p370 :rule nary_cong :premises (@p369 @p246) :args ((or (not @t346) @t74))) % 0.39/0.67 (step @p371 :rule trans :premises (@p370 @p245)) % 0.39/0.67 (step @p372 :rule bool-impl-elim :args (@t346 @t74)) % 0.39/0.67 (step @p373 :rule trans :premises (@p372 @p371)) % 0.39/0.67 (step @p374 :rule aci_norm :args ((= (or @t243 (or @t287 (or @t242 @t286))) @t298))) % 0.39/0.67 (step @p375 :rule bool-and-de-morgan :args (@t136 @t135 true)) % 0.39/0.67 (step @p376 :rule nary_cong :premises (@p221 @p375) :args ((or @t287 (not (and @t136 @t135))))) % 0.39/0.67 (step @p377 :rule bool-and-de-morgan :args (@t137 @t136 (and @t135))) % 0.39/0.67 (step @p378 :rule trans :premises (@p377 @p376)) % 0.39/0.67 (step @p379 :rule nary_cong :premises (@p223 @p378) :args ((or @t243 (not (and @t137 @t136 @t135))))) % 0.39/0.67 (step @p380 :rule bool-and-de-morgan :args (@t138 @t137 (and @t136 @t135))) % 0.39/0.67 (step @p381 :rule trans :premises (@p380 @p379)) % 0.39/0.67 (step @p382 :rule trans :premises (@p381 @p374)) % 0.39/0.67 (step @p383 :rule nary_cong :premises (@p382 @p373) :args ((or (not @t139) @t347))) % 0.39/0.67 (step @p384 :rule trans :premises (@p383 @p244)) % 0.39/0.67 (step @p385 :rule bool-impl-elim :args (@t139 @t347)) % 0.39/0.67 (step @p386 :rule trans :premises (@p385 @p384)) % 0.39/0.67 (step @p387 :rule cong :premises (@p386) :args ((forall @t141 (=> @t139 @t347)))) % 0.39/0.67 (step @p388 :rule trans :premises (@p387 @p243)) % 0.39/0.67 (step @p389 :rule eq-symm :args (tptp.n3 @t54)) % 0.39/0.67 (step @p390 :rule eq-symm :args (tptp.n3 @t53)) % 0.39/0.67 (step @p391 :rule refl :args (@t77)) % 0.39/0.67 (step @p392 :rule eq-symm :args (tptp.n5 @t54)) % 0.39/0.67 (step @p393 :rule eq-symm :args (tptp.n5 @t53)) % 0.39/0.67 (step @p394 :rule nary_cong :premises (@p393 @p392) :args (@t80)) % 0.39/0.67 (step @p395 :rule cong :premises (@p394) :args (@t81)) % 0.39/0.67 (step @p396 :rule eq-symm :args (tptp.n4 @t54)) % 0.39/0.67 (step @p397 :rule nary_cong :premises (@p396 @p393) :args (@t83)) % 0.39/0.67 (step @p398 :rule cong :premises (@p397) :args (@t84)) % 0.39/0.67 (step @p399 :rule eq-symm :args (tptp.n4 @t53)) % 0.39/0.67 (step @p400 :rule nary_cong :premises (@p399 @p392) :args (@t86)) % 0.39/0.67 (step @p401 :rule cong :premises (@p400) :args (@t87)) % 0.39/0.67 (step @p402 :rule nary_cong :premises (@p399 @p396) :args (@t88)) % 0.39/0.67 (step @p403 :rule cong :premises (@p402) :args (@t89)) % 0.39/0.67 (step @p404 :rule nary_cong :premises (@p389 @p393) :args (@t90)) % 0.39/0.67 (step @p405 :rule cong :premises (@p404) :args (@t91)) % 0.39/0.67 (step @p406 :rule nary_cong :premises (@p389 @p399) :args (@t92)) % 0.39/0.67 (step @p407 :rule cong :premises (@p406) :args (@t93)) % 0.39/0.67 (step @p408 :rule nary_cong :premises (@p390 @p392) :args (@t94)) % 0.39/0.67 (step @p409 :rule cong :premises (@p408) :args (@t95)) % 0.39/0.67 (step @p410 :rule nary_cong :premises (@p390 @p396) :args (@t96)) % 0.39/0.67 (step @p411 :rule cong :premises (@p410) :args (@t97)) % 0.39/0.67 (step @p412 :rule nary_cong :premises (@p390 @p389) :args (@t98)) % 0.39/0.67 (step @p413 :rule cong :premises (@p412) :args (@t99)) % 0.39/0.67 (step @p414 :rule eq-symm :args (tptp.n2 @t54)) % 0.39/0.67 (step @p415 :rule nary_cong :premises (@p414 @p393) :args (@t101)) % 0.39/0.67 (step @p416 :rule cong :premises (@p415) :args (@t102)) % 0.39/0.67 (step @p417 :rule nary_cong :premises (@p414 @p399) :args (@t103)) % 0.39/0.67 (step @p418 :rule cong :premises (@p417) :args (@t104)) % 0.39/0.67 (step @p419 :rule nary_cong :premises (@p414 @p390) :args (@t105)) % 0.39/0.67 (step @p420 :rule cong :premises (@p419) :args (@t106)) % 0.39/0.67 (step @p421 :rule eq-symm :args (tptp.n2 @t53)) % 0.39/0.67 (step @p422 :rule nary_cong :premises (@p421 @p392) :args (@t108)) % 0.39/0.67 (step @p423 :rule cong :premises (@p422) :args (@t109)) % 0.39/0.67 (step @p424 :rule nary_cong :premises (@p421 @p396) :args (@t110)) % 0.39/0.67 (step @p425 :rule cong :premises (@p424) :args (@t111)) % 0.39/0.67 (step @p426 :rule eq-symm :args (tptp.n1 @t54)) % 0.39/0.67 (step @p427 :rule nary_cong :premises (@p426 @p393) :args (@t113)) % 0.39/0.67 (step @p428 :rule cong :premises (@p427) :args (@t114)) % 0.39/0.67 (step @p429 :rule nary_cong :premises (@p426 @p399) :args (@t115)) % 0.39/0.67 (step @p430 :rule cong :premises (@p429) :args (@t116)) % 0.39/0.67 (step @p431 :rule nary_cong :premises (@p426 @p390) :args (@t117)) % 0.39/0.67 (step @p432 :rule cong :premises (@p431) :args (@t118)) % 0.39/0.67 (step @p433 :rule eq-symm :args (tptp.n1 @t53)) % 0.39/0.67 (step @p434 :rule nary_cong :premises (@p433 @p392) :args (@t120)) % 0.39/0.67 (step @p435 :rule cong :premises (@p434) :args (@t121)) % 0.39/0.67 (step @p436 :rule nary_cong :premises (@p433 @p396) :args (@t122)) % 0.39/0.67 (step @p437 :rule cong :premises (@p436) :args (@t123)) % 0.39/0.67 (step @p438 :rule nary_cong :premises (@p391 @p393) :args (@t124)) % 0.39/0.67 (step @p439 :rule cong :premises (@p438) :args (@t125)) % 0.39/0.67 (step @p440 :rule nary_cong :premises (@p391 @p399) :args (@t126)) % 0.39/0.67 (step @p441 :rule cong :premises (@p440) :args (@t127)) % 0.39/0.67 (step @p442 :rule refl :args (@t128)) % 0.39/0.67 (step @p443 :rule nary_cong :premises (@p442 @p392) :args (@t129)) % 0.39/0.67 (step @p444 :rule cong :premises (@p443) :args (@t130)) % 0.39/0.67 (step @p445 :rule nary_cong :premises (@p442 @p396) :args (@t131)) % 0.39/0.67 (step @p446 :rule cong :premises (@p445) :args (@t132)) % 0.39/0.67 (step @p447 :rule nary_cong :premises (@p446 @p444 @p441 @p439 @p437 @p435 @p432 @p430 @p428 @p425 @p423 @p420 @p418 @p416 @p413 @p411 @p409 @p407 @p405 @p403 @p401 @p398 @p395 @p391 @p390 @p389) :args (@t133)) % 0.39/0.67 (step @p448 :rule cong :premises (@p447 @p236) :args (@t134)) % 0.39/0.67 (step @p449 :rule refl :args (@t139)) % 0.39/0.67 (step @p450 :rule cong :premises (@p449 @p448) :args (@t140)) % 0.39/0.67 (step @p451 :rule cong :premises (@p450) :args (@t142)) % 0.39/0.67 (step @p452 :rule trans :premises (@p451 @p388)) % 0.39/0.67 (step @p453 :rule aci_norm :args ((= (or @t352 @t143) (or @t351 @t350 @t349 @t348 @t143)))) % 0.39/0.67 (step @p454 :rule refl :args (@t143)) % 0.39/0.67 (step @p455 :rule aci_norm :args ((= (or @t351 (or @t350 (or @t349 @t348))) @t352))) % 0.39/0.67 (step @p456 :rule bool-and-de-morgan :args (@t145 @t144 true)) % 0.39/0.67 (step @p457 :rule refl :args (@t350)) % 0.39/0.67 (step @p458 :rule nary_cong :premises (@p457 @p456) :args ((or @t350 (not (and @t145 @t144))))) % 0.39/0.67 (step @p459 :rule bool-and-de-morgan :args (@t146 @t145 (and @t144))) % 0.39/0.67 (step @p460 :rule trans :premises (@p459 @p458)) % 0.39/0.67 (step @p461 :rule refl :args (@t351)) % 0.39/0.67 (step @p462 :rule nary_cong :premises (@p461 @p460) :args ((or @t351 (not (and @t146 @t145 @t144))))) % 0.39/0.67 (step @p463 :rule bool-and-de-morgan :args (@t147 @t146 (and @t145 @t144))) % 0.39/0.67 (step @p464 :rule trans :premises (@p463 @p462)) % 0.39/0.67 (step @p465 :rule trans :premises (@p464 @p455)) % 0.39/0.67 (step @p466 :rule nary_cong :premises (@p465 @p454) :args ((or (not @t148) @t143))) % 0.39/0.67 (step @p467 :rule trans :premises (@p466 @p453)) % 0.39/0.67 (step @p468 :rule bool-impl-elim :args (@t148 @t143)) % 0.39/0.67 (step @p469 :rule trans :premises (@p468 @p467)) % 0.39/0.67 (step @p470 :rule cong :premises (@p469) :args (@t149)) % 0.39/0.67 (step @p471 :rule aci_norm :args ((= (or @t357 @t150) (or @t356 @t355 @t354 @t353 @t150)))) % 0.39/0.67 (step @p472 :rule refl :args (@t150)) % 0.39/0.67 (step @p473 :rule aci_norm :args ((= (or @t356 (or @t355 (or @t354 @t353))) @t357))) % 0.39/0.67 (step @p474 :rule bool-and-de-morgan :args (@t152 @t151 true)) % 0.39/0.67 (step @p475 :rule refl :args (@t355)) % 0.39/0.67 (step @p476 :rule nary_cong :premises (@p475 @p474) :args ((or @t355 (not (and @t152 @t151))))) % 0.39/0.67 (step @p477 :rule bool-and-de-morgan :args (@t153 @t152 (and @t151))) % 0.39/0.67 (step @p478 :rule trans :premises (@p477 @p476)) % 0.39/0.67 (step @p479 :rule refl :args (@t356)) % 0.39/0.67 (step @p480 :rule nary_cong :premises (@p479 @p478) :args ((or @t356 (not (and @t153 @t152 @t151))))) % 0.39/0.67 (step @p481 :rule bool-and-de-morgan :args (@t154 @t153 (and @t152 @t151))) % 0.39/0.67 (step @p482 :rule trans :premises (@p481 @p480)) % 0.39/0.67 (step @p483 :rule trans :premises (@p482 @p473)) % 0.39/0.67 (step @p484 :rule nary_cong :premises (@p483 @p472) :args ((or (not @t155) @t150))) % 0.39/0.67 (step @p485 :rule trans :premises (@p484 @p471)) % 0.39/0.67 (step @p486 :rule bool-impl-elim :args (@t155 @t150)) % 0.39/0.67 (step @p487 :rule trans :premises (@p486 @p485)) % 0.39/0.67 (step @p488 :rule cong :premises (@p487) :args (@t156)) % 0.39/0.67 (step @p489 :rule nary_cong :premises (@p488 @p470) :args (@t157)) % 0.39/0.67 (step @p490 :rule cong :premises (@p489 @p452) :args (@t158)) % 0.39/0.67 (step @p491 :rule cong :premises (@p490) :args (@t159)) % 0.39/0.67 (step @p492 :rule eq_resolve :premises (@p53 @p491)) % 0.39/0.67 (step @p493 :rule not_implies_elim2 :premises (@p492)) % 0.39/0.67 (step @p494 :rule not_or_elim :premises (@p493) :args (3)) % 0.39/0.67 (step @p495 :rule not_not_elim :premises (@p494)) % 0.39/0.67 (step @p496 :rule not_or_elim :premises (@p493) :args (20)) % 0.39/0.67 (step @p497 false :rule chain_m_resolution :premises (@p496 @p495) :args (false (@list false) (@list @t177))) % 0.39/0.67 ) % 0.39/0.67 % SZS output end Proof % 0.39/0.67 % cvc5 exiting %------------------------------------------------------------------------------