%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV222+1 : TPTP v9.2.1. Bugfixed v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.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 09:00:45 AM UTC 2026 % Result : Theorem 0.45s 0.63s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV222+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n011.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:58:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.63 % SZS status Theorem % 0.45/0.63 % SZS output start Proof % 0.45/0.63 ( % 0.45/0.63 (declare-sort $$unsorted 0) % 0.45/0.63 (declare-const tptp.q_ds1_filter $$unsorted) % 0.45/0.63 (declare-const tptp.def $$unsorted) % 0.45/0.63 (declare-const tptp.use $$unsorted) % 0.45/0.63 (declare-const tptp.true Bool) % 0.45/0.63 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.xinit_noise $$unsorted) % 0.45/0.63 (declare-const tptp.n3 $$unsorted) % 0.45/0.63 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.45/0.63 (declare-const tptp.n0 $$unsorted) % 0.45/0.63 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.n1 $$unsorted) % 0.45/0.63 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.n5 $$unsorted) % 0.45/0.63 (declare-const tptp.r_ds1_filter $$unsorted) % 0.45/0.63 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.45/0.63 (declare-const tptp.n4 $$unsorted) % 0.45/0.63 (declare-const tptp.n2 $$unsorted) % 0.45/0.63 (define @t1 () (@var "Y" $$unsorted)) % 0.45/0.63 (define @t2 () (@var "X" $$unsorted)) % 0.45/0.63 (define @t3 () (= @t2 @t1)) % 0.45/0.63 (define @t4 () (tptp.gt @t1 @t2)) % 0.45/0.63 (define @t5 () (tptp.gt @t2 @t1)) % 0.45/0.63 (define @t6 () (@list @t2 @t1)) % 0.45/0.63 (define @t7 () (@var "Z" $$unsorted)) % 0.45/0.63 (define @t8 () (@list @t2 @t1 @t7)) % 0.45/0.63 (define @t9 () (@list @t2)) % 0.45/0.63 (define @t10 () (tptp.leq @t2 @t1)) % 0.45/0.63 (define @t11 () (tptp.succ @t2)) % 0.45/0.63 (define @t12 () (tptp.succ @t1)) % 0.45/0.63 (define @t13 () (@var "C" $$unsorted)) % 0.45/0.63 (define @t14 () (tptp.uniform_int_rnd @t13 @t2)) % 0.45/0.63 (define @t15 () (tptp.leq tptp.n0 @t2)) % 0.45/0.63 (define @t16 () (@list @t2 @t13)) % 0.45/0.63 (define @t17 () (@var "Val" $$unsorted)) % 0.45/0.63 (define @t18 () (@var "I" $$unsorted)) % 0.45/0.63 (define @t19 () (@var "U" $$unsorted)) % 0.45/0.63 (define @t20 () (@var "L" $$unsorted)) % 0.45/0.63 (define @t21 () (tptp.leq @t18 @t19)) % 0.45/0.63 (define @t22 () (@var "J" $$unsorted)) % 0.45/0.63 (define @t23 () (@var "U2" $$unsorted)) % 0.45/0.63 (define @t24 () (@var "L2" $$unsorted)) % 0.45/0.63 (define @t25 () (@var "U1" $$unsorted)) % 0.45/0.63 (define @t26 () (@var "L1" $$unsorted)) % 0.45/0.63 (define @t27 () (@var "A" $$unsorted)) % 0.45/0.63 (define @t28 () (tptp.trans @t27)) % 0.45/0.63 (define @t29 () (@var "N" $$unsorted)) % 0.45/0.63 (define @t30 () (tptp.leq @t22 @t29)) % 0.45/0.63 (define @t31 () (tptp.leq tptp.n0 @t22)) % 0.45/0.63 (define @t32 () (tptp.leq @t18 @t29)) % 0.45/0.63 (define @t33 () (tptp.leq tptp.n0 @t18)) % 0.45/0.63 (define @t34 () (and @t33 @t32 @t31 @t30)) % 0.45/0.63 (define @t35 () (@list @t18 @t22)) % 0.45/0.63 (define @t36 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t27 @t18 @t22) (tptp.a_select3 @t27 @t22 @t18))))) % 0.45/0.63 (define @t37 () (@list @t27 @t29)) % 0.45/0.63 (define @t38 () (tptp.inv @t27)) % 0.45/0.63 (define @t39 () (@var "VAL" $$unsorted)) % 0.45/0.63 (define @t40 () (@var "K" $$unsorted)) % 0.45/0.63 (define @t41 () (tptp.tptp_update3 @t27 @t40 @t40 @t39)) % 0.45/0.63 (define @t42 () (@var "B" $$unsorted)) % 0.45/0.63 (define @t43 () (tptp.tptp_madd @t27 @t42)) % 0.45/0.63 (define @t44 () (= (tptp.a_select3 @t42 @t18 @t22) (tptp.a_select3 @t42 @t22 @t18))) % 0.45/0.63 (define @t45 () (forall @t35 (=> @t34 @t44))) % 0.45/0.63 (define @t46 () (and @t36 @t45)) % 0.45/0.63 (define @t47 () (@list @t27 @t42 @t29)) % 0.45/0.63 (define @t48 () (tptp.tptp_msub @t27 @t42)) % 0.45/0.63 (define @t49 () (tptp.tptp_mmul @t27 (tptp.tptp_mmul @t42 @t28))) % 0.45/0.63 (define @t50 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t49 @t18 @t22) (tptp.a_select3 @t49 @t22 @t18))))) % 0.45/0.63 (define @t51 () (@var "M" $$unsorted)) % 0.45/0.63 (define @t52 () (and @t33 (tptp.leq @t18 @t51) @t31 (tptp.leq @t22 @t51))) % 0.45/0.63 (define @t53 () (@var "E" $$unsorted)) % 0.45/0.63 (define @t54 () (@var "F" $$unsorted)) % 0.45/0.63 (define @t55 () (@var "D" $$unsorted)) % 0.45/0.63 (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))))) % 0.45/0.63 (define @t57 () (@var "Body" $$unsorted)) % 0.45/0.63 (define @t58 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t57)) % 0.45/0.63 (define @t59 () (@list @t57)) % 0.45/0.63 (define @t60 () (tptp.succ @t11)) % 0.45/0.63 (define @t61 () (tptp.succ @t60)) % 0.45/0.63 (define @t62 () (tptp.succ @t61)) % 0.45/0.63 (define @t63 () (tptp.succ @t62)) % 0.45/0.63 (define @t64 () (tptp.pred @t2)) % 0.45/0.63 (define @t65 () (@var "V" $$unsorted)) % 0.45/0.63 (define @t66 () (tptp.tptp_update3 @t2 @t19 @t65 @t39)) % 0.45/0.63 (define @t67 () (@var "VAL2" $$unsorted)) % 0.45/0.63 (define @t68 () (not (= @t18 @t19))) % 0.45/0.63 (define @t69 () (@var "J0" $$unsorted)) % 0.45/0.63 (define @t70 () (@var "I0" $$unsorted)) % 0.45/0.63 (define @t71 () (tptp.leq @t70 @t19)) % 0.45/0.63 (define @t72 () (tptp.leq tptp.n0 @t70)) % 0.45/0.63 (define @t73 () (tptp.tptp_update2 @t2 @t19 @t39)) % 0.45/0.63 (define @t74 () (tptp.a_select2 tptp.xinit_noise tptp.n0)) % 0.45/0.63 (define @t75 () (= tptp.n3 @t54)) % 0.45/0.63 (define @t76 () (= tptp.n1 @t53)) % 0.45/0.63 (define @t77 () (= tptp.n0 @t54)) % 0.45/0.63 (define @t78 () (= tptp.n0 @t53)) % 0.45/0.63 (define @t79 () (= tptp.n5 @t54)) % 0.45/0.63 (define @t80 () (= tptp.n5 @t53)) % 0.45/0.63 (define @t81 () (and @t80 @t79)) % 0.45/0.63 (define @t82 () (not @t81)) % 0.45/0.63 (define @t83 () (= tptp.n4 @t54)) % 0.45/0.63 (define @t84 () (and @t83 @t80)) % 0.45/0.63 (define @t85 () (not @t84)) % 0.45/0.63 (define @t86 () (= tptp.n4 @t53)) % 0.45/0.63 (define @t87 () (and @t86 @t79)) % 0.45/0.63 (define @t88 () (not @t87)) % 0.45/0.63 (define @t89 () (and @t86 @t83)) % 0.45/0.63 (define @t90 () (not @t89)) % 0.45/0.63 (define @t91 () (and @t75 @t80)) % 0.45/0.63 (define @t92 () (not @t91)) % 0.45/0.63 (define @t93 () (and @t75 @t86)) % 0.45/0.63 (define @t94 () (not @t93)) % 0.45/0.63 (define @t95 () (= tptp.n3 @t53)) % 0.45/0.63 (define @t96 () (and @t95 @t79)) % 0.45/0.63 (define @t97 () (not @t96)) % 0.45/0.63 (define @t98 () (and @t95 @t83)) % 0.45/0.63 (define @t99 () (not @t98)) % 0.45/0.63 (define @t100 () (and @t95 @t75)) % 0.45/0.63 (define @t101 () (not @t100)) % 0.45/0.63 (define @t102 () (= tptp.n2 @t54)) % 0.45/0.63 (define @t103 () (and @t102 @t80)) % 0.45/0.63 (define @t104 () (not @t103)) % 0.45/0.63 (define @t105 () (and @t102 @t86)) % 0.45/0.63 (define @t106 () (not @t105)) % 0.45/0.63 (define @t107 () (and @t102 @t95)) % 0.45/0.63 (define @t108 () (not @t107)) % 0.45/0.63 (define @t109 () (= tptp.n2 @t53)) % 0.45/0.63 (define @t110 () (and @t109 @t79)) % 0.45/0.63 (define @t111 () (not @t110)) % 0.45/0.63 (define @t112 () (and @t109 @t83)) % 0.45/0.63 (define @t113 () (not @t112)) % 0.45/0.63 (define @t114 () (and @t109 @t75)) % 0.45/0.63 (define @t115 () (not @t114)) % 0.45/0.63 (define @t116 () (and @t109 @t102)) % 0.45/0.63 (define @t117 () (not @t116)) % 0.45/0.63 (define @t118 () (= tptp.n1 @t54)) % 0.45/0.63 (define @t119 () (and @t118 @t80)) % 0.45/0.63 (define @t120 () (not @t119)) % 0.45/0.63 (define @t121 () (and @t118 @t86)) % 0.45/0.63 (define @t122 () (not @t121)) % 0.45/0.63 (define @t123 () (and @t118 @t95)) % 0.45/0.63 (define @t124 () (not @t123)) % 0.45/0.63 (define @t125 () (and @t118 @t109)) % 0.45/0.63 (define @t126 () (not @t125)) % 0.45/0.63 (define @t127 () (and @t76 @t79)) % 0.45/0.63 (define @t128 () (not @t127)) % 0.45/0.63 (define @t129 () (and @t76 @t83)) % 0.45/0.63 (define @t130 () (not @t129)) % 0.45/0.63 (define @t131 () (and @t76 @t75)) % 0.45/0.63 (define @t132 () (not @t131)) % 0.45/0.63 (define @t133 () (and @t76 @t102)) % 0.45/0.63 (define @t134 () (not @t133)) % 0.45/0.63 (define @t135 () (and @t76 @t118)) % 0.45/0.63 (define @t136 () (not @t135)) % 0.45/0.63 (define @t137 () (and @t77 @t80)) % 0.45/0.63 (define @t138 () (not @t137)) % 0.45/0.63 (define @t139 () (and @t77 @t86)) % 0.45/0.63 (define @t140 () (not @t139)) % 0.45/0.63 (define @t141 () (and @t77 @t95)) % 0.45/0.63 (define @t142 () (not @t141)) % 0.45/0.63 (define @t143 () (and @t77 @t109)) % 0.45/0.63 (define @t144 () (not @t143)) % 0.45/0.63 (define @t145 () (and @t77 @t76)) % 0.45/0.63 (define @t146 () (not @t145)) % 0.45/0.63 (define @t147 () (and @t78 @t79)) % 0.45/0.63 (define @t148 () (not @t147)) % 0.45/0.63 (define @t149 () (and @t78 @t83)) % 0.45/0.63 (define @t150 () (not @t149)) % 0.45/0.63 (define @t151 () (and @t78 @t75)) % 0.45/0.63 (define @t152 () (not @t151)) % 0.45/0.63 (define @t153 () (and @t78 @t102)) % 0.45/0.63 (define @t154 () (not @t153)) % 0.45/0.63 (define @t155 () (and @t78 @t118)) % 0.45/0.63 (define @t156 () (not @t155)) % 0.45/0.63 (define @t157 () (and @t156 @t154 @t152 @t150 @t148 @t146 @t144 @t142 @t140 @t138 @t136 @t134 @t132 @t130 @t128 @t126 @t124 @t122 @t120 @t117 @t115 @t113 @t111 @t108 @t106 @t104 @t101 @t99 @t97 @t94 @t92 @t90 @t88 @t85 @t82 @t78 @t77 @t76 @t75)) % 0.45/0.63 (define @t158 () (=> @t157 (= @t74 tptp.n0))) % 0.45/0.63 (define @t159 () (tptp.leq @t54 tptp.n5)) % 0.45/0.63 (define @t160 () (tptp.leq @t53 tptp.n5)) % 0.45/0.63 (define @t161 () (tptp.leq tptp.n0 @t54)) % 0.45/0.63 (define @t162 () (tptp.leq tptp.n0 @t53)) % 0.45/0.63 (define @t163 () (and @t162 @t161 @t160 @t159)) % 0.45/0.63 (define @t164 () (=> @t163 @t158)) % 0.45/0.63 (define @t165 () (@list @t53 @t54)) % 0.45/0.63 (define @t166 () (forall @t165 @t164)) % 0.45/0.63 (define @t167 () (= (tptp.a_select3 tptp.r_ds1_filter @t13 @t55) (tptp.a_select3 tptp.r_ds1_filter @t55 @t13))) % 0.45/0.63 (define @t168 () (tptp.leq @t55 tptp.n2)) % 0.45/0.63 (define @t169 () (tptp.leq @t13 tptp.n2)) % 0.45/0.63 (define @t170 () (tptp.leq tptp.n0 @t55)) % 0.45/0.63 (define @t171 () (tptp.leq tptp.n0 @t13)) % 0.45/0.63 (define @t172 () (and @t171 @t170 @t169 @t168)) % 0.45/0.63 (define @t173 () (@list @t13 @t55)) % 0.45/0.63 (define @t174 () (forall @t173 (=> @t172 @t167))) % 0.45/0.63 (define @t175 () (= (tptp.a_select3 tptp.q_ds1_filter @t27 @t42) (tptp.a_select3 tptp.q_ds1_filter @t42 @t27))) % 0.45/0.63 (define @t176 () (tptp.leq @t42 tptp.n5)) % 0.45/0.63 (define @t177 () (tptp.leq @t27 tptp.n5)) % 0.45/0.63 (define @t178 () (tptp.leq tptp.n0 @t42)) % 0.45/0.63 (define @t179 () (tptp.leq tptp.n0 @t27)) % 0.45/0.63 (define @t180 () (and @t179 @t178 @t177 @t176)) % 0.45/0.63 (define @t181 () (@list @t27 @t42)) % 0.45/0.63 (define @t182 () (forall @t181 (=> @t180 @t175))) % 0.45/0.63 (define @t183 () (and @t182 @t174)) % 0.45/0.63 (define @t184 () (=> @t183 @t166)) % 0.45/0.63 (define @t185 () (not @t184)) % 0.45/0.63 (define @t186 () (= @t2 tptp.n4)) % 0.45/0.63 (define @t187 () (= @t2 tptp.n3)) % 0.45/0.63 (define @t188 () (= @t2 tptp.n2)) % 0.45/0.63 (define @t189 () (= @t2 tptp.n1)) % 0.45/0.63 (define @t190 () (= @t2 tptp.n0)) % 0.45/0.63 (define @t191 () (tptp.succ tptp.n0)) % 0.45/0.63 (define @t192 () (tptp.succ @t191)) % 0.45/0.63 (define @t193 () (tptp.succ @t192)) % 0.45/0.63 (define @t194 () (tptp.succ @t193)) % 0.45/0.63 (define @t195 () (not @t168)) % 0.45/0.63 (define @t196 () (not @t169)) % 0.45/0.63 (define @t197 () (not @t170)) % 0.45/0.63 (define @t198 () (not @t171)) % 0.45/0.63 (define @t199 () (or @t198 @t197 @t196 @t195 @t167)) % 0.45/0.63 (define @t200 () (not @t176)) % 0.45/0.63 (define @t201 () (not @t177)) % 0.45/0.63 (define @t202 () (not @t178)) % 0.45/0.63 (define @t203 () (not @t179)) % 0.45/0.63 (define @t204 () (or @t203 @t202 @t201 @t200 @t175)) % 0.45/0.63 (define @t205 () (= tptp.n0 @t74)) % 0.45/0.63 (define @t206 () (@list @t54)) % 0.45/0.63 (define @t207 () (= @t54 tptp.n2)) % 0.45/0.63 (define @t208 () (= @t54 tptp.n1)) % 0.45/0.63 (define @t209 () (not @t159)) % 0.45/0.63 (define @t210 () (not @t161)) % 0.45/0.63 (define @t211 () (not (tptp.leq tptp.n0 tptp.n5))) % 0.45/0.63 (define @t212 () (not (tptp.leq tptp.n0 tptp.n0))) % 0.45/0.63 (define @t213 () (= @t54 tptp.n3)) % 0.45/0.63 (define @t214 () (= tptp.n0 tptp.n1)) % 0.45/0.63 (define @t215 () (not @t214)) % 0.45/0.63 (define @t216 () (not @t77)) % 0.45/0.63 (define @t217 () (= @t54 tptp.n5)) % 0.45/0.63 (define @t218 () (= tptp.n0 tptp.n5)) % 0.45/0.63 (define @t219 () (and @t218 @t217)) % 0.45/0.63 (define @t220 () (= @t54 tptp.n4)) % 0.45/0.63 (define @t221 () (and @t220 @t218)) % 0.45/0.63 (define @t222 () (= tptp.n0 tptp.n4)) % 0.45/0.63 (define @t223 () (and @t222 @t217)) % 0.45/0.63 (define @t224 () (and @t222 @t220)) % 0.45/0.63 (define @t225 () (and @t213 @t218)) % 0.45/0.63 (define @t226 () (and @t213 @t222)) % 0.45/0.63 (define @t227 () (= tptp.n0 tptp.n3)) % 0.45/0.63 (define @t228 () (and @t227 @t217)) % 0.45/0.63 (define @t229 () (and @t227 @t220)) % 0.45/0.63 (define @t230 () (and @t227 @t213)) % 0.45/0.63 (define @t231 () (and @t207 @t218)) % 0.45/0.63 (define @t232 () (and @t207 @t222)) % 0.45/0.63 (define @t233 () (and @t207 @t227)) % 0.45/0.63 (define @t234 () (= tptp.n0 tptp.n2)) % 0.45/0.63 (define @t235 () (and @t234 @t217)) % 0.45/0.63 (define @t236 () (and @t234 @t220)) % 0.45/0.63 (define @t237 () (and @t234 @t213)) % 0.45/0.63 (define @t238 () (and @t234 @t207)) % 0.45/0.63 (define @t239 () (and @t208 @t218)) % 0.45/0.63 (define @t240 () (and @t208 @t222)) % 0.45/0.63 (define @t241 () (and @t208 @t227)) % 0.45/0.63 (define @t242 () (and @t208 @t234)) % 0.45/0.63 (define @t243 () (and @t214 @t217)) % 0.45/0.63 (define @t244 () (and @t214 @t220)) % 0.45/0.63 (define @t245 () (and @t214 @t213)) % 0.45/0.63 (define @t246 () (and @t214 @t207)) % 0.45/0.63 (define @t247 () (and @t214 @t208)) % 0.45/0.63 (define @t248 () (and @t77 @t218)) % 0.45/0.63 (define @t249 () (and @t77 @t222)) % 0.45/0.63 (define @t250 () (and @t77 @t227)) % 0.45/0.63 (define @t251 () (and @t77 @t234)) % 0.45/0.63 (define @t252 () (and @t77 @t214)) % 0.45/0.63 (define @t253 () (not @t213)) % 0.45/0.63 (define @t254 () (or @t212 @t211 @t210 @t209 @t208 @t207 @t213 @t220 @t217 @t252 @t251 @t250 @t249 @t248 @t247 @t246 @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t233 @t232 @t231 @t230 @t229 @t228 @t226 @t225 @t224 @t223 @t221 @t219 @t216 @t215 @t253)) % 0.45/0.63 (define @t255 () (= tptp.n0 tptp.n0)) % 0.45/0.63 (define @t256 () (not @t255)) % 0.45/0.63 (define @t257 () (and @t255 @t217)) % 0.45/0.63 (define @t258 () (and @t255 @t220)) % 0.45/0.63 (define @t259 () (and @t255 @t213)) % 0.45/0.63 (define @t260 () (and @t255 @t207)) % 0.45/0.63 (define @t261 () (and @t255 @t208)) % 0.45/0.63 (define @t262 () (or @t212 @t211 @t210 @t209 @t261 @t260 @t259 @t258 @t257 @t252 @t251 @t250 @t249 @t248 @t247 @t246 @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t233 @t232 @t231 @t230 @t229 @t228 @t226 @t225 @t224 @t223 @t221 @t219 @t256 @t216 @t215 @t253)) % 0.45/0.63 (define @t263 () (= @t53 tptp.n1)) % 0.45/0.63 (define @t264 () (not @t263)) % 0.45/0.63 (define @t265 () (not @t78)) % 0.45/0.63 (define @t266 () (= @t53 tptp.n5)) % 0.45/0.63 (define @t267 () (and @t266 @t217)) % 0.45/0.63 (define @t268 () (and @t220 @t266)) % 0.45/0.63 (define @t269 () (= @t53 tptp.n4)) % 0.45/0.63 (define @t270 () (and @t269 @t217)) % 0.45/0.63 (define @t271 () (and @t269 @t220)) % 0.45/0.63 (define @t272 () (and @t213 @t266)) % 0.45/0.63 (define @t273 () (and @t213 @t269)) % 0.45/0.63 (define @t274 () (= @t53 tptp.n3)) % 0.45/0.63 (define @t275 () (and @t274 @t217)) % 0.45/0.63 (define @t276 () (and @t274 @t220)) % 0.45/0.63 (define @t277 () (and @t274 @t213)) % 0.45/0.63 (define @t278 () (and @t207 @t266)) % 0.45/0.63 (define @t279 () (and @t207 @t269)) % 0.45/0.63 (define @t280 () (and @t207 @t274)) % 0.45/0.63 (define @t281 () (= @t53 tptp.n2)) % 0.45/0.63 (define @t282 () (and @t281 @t217)) % 0.45/0.63 (define @t283 () (and @t281 @t220)) % 0.45/0.63 (define @t284 () (and @t281 @t213)) % 0.45/0.63 (define @t285 () (and @t281 @t207)) % 0.45/0.63 (define @t286 () (and @t208 @t266)) % 0.45/0.63 (define @t287 () (and @t208 @t269)) % 0.45/0.63 (define @t288 () (and @t208 @t274)) % 0.45/0.63 (define @t289 () (and @t208 @t281)) % 0.45/0.63 (define @t290 () (and @t263 @t217)) % 0.45/0.63 (define @t291 () (and @t263 @t220)) % 0.45/0.63 (define @t292 () (and @t263 @t213)) % 0.45/0.63 (define @t293 () (and @t263 @t207)) % 0.45/0.63 (define @t294 () (and @t263 @t208)) % 0.45/0.63 (define @t295 () (and @t77 @t266)) % 0.45/0.63 (define @t296 () (and @t77 @t269)) % 0.45/0.63 (define @t297 () (and @t77 @t274)) % 0.45/0.63 (define @t298 () (and @t77 @t281)) % 0.45/0.63 (define @t299 () (and @t77 @t263)) % 0.45/0.63 (define @t300 () (and @t78 @t217)) % 0.45/0.63 (define @t301 () (and @t78 @t220)) % 0.45/0.63 (define @t302 () (and @t78 @t213)) % 0.45/0.63 (define @t303 () (and @t78 @t207)) % 0.45/0.63 (define @t304 () (and @t78 @t208)) % 0.45/0.63 (define @t305 () (not @t160)) % 0.45/0.63 (define @t306 () (not @t162)) % 0.45/0.63 (define @t307 () (@list @t53)) % 0.45/0.63 (define @t308 () (or @t265 @t306 @t305 @t210 @t209 @t304 @t303 @t302 @t301 @t300 @t299 @t298 @t297 @t296 @t295 @t294 @t293 @t292 @t291 @t290 @t289 @t288 @t287 @t286 @t285 @t284 @t283 @t282 @t280 @t279 @t278 @t277 @t276 @t275 @t273 @t272 @t271 @t270 @t268 @t267 @t265 @t216 @t264 @t253)) % 0.45/0.63 (define @t309 () (or @t306 @t305 @t210 @t209 @t304 @t303 @t302 @t301 @t300 @t299 @t298 @t297 @t296 @t295 @t294 @t293 @t292 @t291 @t290 @t289 @t288 @t287 @t286 @t285 @t284 @t283 @t282 @t280 @t279 @t278 @t277 @t276 @t275 @t273 @t272 @t271 @t270 @t268 @t267 @t265 @t216 @t264 @t253)) % 0.45/0.63 (define @t310 () (forall @t307 @t309)) % 0.45/0.63 (define @t311 () (forall @t206 @t310)) % 0.45/0.63 (define @t312 () (forall (@list @t54 @t53) @t309)) % 0.45/0.63 (define @t313 () (forall @t165 @t309)) % 0.45/0.63 (define @t314 () (or @t205 @t313)) % 0.45/0.63 (define @t315 () (or @t205 @t309)) % 0.45/0.63 (define @t316 () (or @t306 @t210 @t305 @t209 @t304 @t303 @t302 @t301 @t300 @t299 @t298 @t297 @t296 @t295 @t294 @t293 @t292 @t291 @t290 @t289 @t288 @t287 @t286 @t285 @t284 @t283 @t282 @t280 @t279 @t278 @t277 @t276 @t275 @t273 @t272 @t271 @t270 @t268 @t267 @t265 @t216 @t264 @t253 @t205)) % 0.45/0.63 (define @t317 () (or @t304 @t303 @t302 @t301 @t300 @t299 @t298 @t297 @t296 @t295 @t294 @t293 @t292 @t291 @t290 @t289 @t288 @t287 @t286 @t285 @t284 @t283 @t282 @t280 @t279 @t278 @t277 @t276 @t275 @t273 @t272 @t271 @t270 @t268 @t267 @t265 @t216 @t264 @t253 @t205)) % 0.45/0.63 (define @t318 () (or @t306 @t210 @t305 @t209)) % 0.45/0.63 (define @t319 () (not @t267)) % 0.45/0.63 (define @t320 () (not @t319)) % 0.45/0.63 (define @t321 () (not @t268)) % 0.45/0.63 (define @t322 () (not @t321)) % 0.45/0.63 (define @t323 () (not @t270)) % 0.45/0.63 (define @t324 () (not @t323)) % 0.45/0.63 (define @t325 () (not @t271)) % 0.45/0.63 (define @t326 () (not @t325)) % 0.45/0.63 (define @t327 () (not @t272)) % 0.45/0.63 (define @t328 () (not @t327)) % 0.45/0.63 (define @t329 () (not @t273)) % 0.45/0.63 (define @t330 () (not @t329)) % 0.45/0.63 (define @t331 () (not @t275)) % 0.45/0.63 (define @t332 () (not @t331)) % 0.45/0.63 (define @t333 () (not @t276)) % 0.45/0.63 (define @t334 () (not @t333)) % 0.45/0.63 (define @t335 () (not @t277)) % 0.45/0.63 (define @t336 () (not @t335)) % 0.45/0.63 (define @t337 () (not @t278)) % 0.45/0.63 (define @t338 () (not @t337)) % 0.45/0.63 (define @t339 () (not @t279)) % 0.45/0.63 (define @t340 () (not @t339)) % 0.45/0.63 (define @t341 () (not @t280)) % 0.45/0.63 (define @t342 () (not @t341)) % 0.45/0.63 (define @t343 () (not @t282)) % 0.45/0.63 (define @t344 () (not @t343)) % 0.45/0.63 (define @t345 () (not @t283)) % 0.45/0.63 (define @t346 () (not @t345)) % 0.45/0.63 (define @t347 () (not @t284)) % 0.45/0.63 (define @t348 () (not @t347)) % 0.45/0.63 (define @t349 () (not @t285)) % 0.45/0.63 (define @t350 () (not @t349)) % 0.45/0.63 (define @t351 () (not @t286)) % 0.45/0.63 (define @t352 () (not @t351)) % 0.45/0.63 (define @t353 () (not @t287)) % 0.45/0.63 (define @t354 () (not @t353)) % 0.45/0.63 (define @t355 () (not @t288)) % 0.45/0.63 (define @t356 () (not @t355)) % 0.45/0.63 (define @t357 () (not @t289)) % 0.45/0.63 (define @t358 () (not @t357)) % 0.45/0.63 (define @t359 () (not @t290)) % 0.45/0.63 (define @t360 () (not @t359)) % 0.45/0.63 (define @t361 () (not @t291)) % 0.45/0.63 (define @t362 () (not @t361)) % 0.45/0.63 (define @t363 () (not @t292)) % 0.45/0.63 (define @t364 () (not @t363)) % 0.45/0.63 (define @t365 () (not @t293)) % 0.45/0.63 (define @t366 () (not @t365)) % 0.45/0.63 (define @t367 () (not @t294)) % 0.45/0.63 (define @t368 () (not @t367)) % 0.45/0.63 (define @t369 () (not @t295)) % 0.45/0.63 (define @t370 () (not @t369)) % 0.45/0.63 (define @t371 () (not @t296)) % 0.45/0.63 (define @t372 () (not @t371)) % 0.45/0.63 (define @t373 () (not @t297)) % 0.45/0.63 (define @t374 () (not @t373)) % 0.45/0.63 (define @t375 () (not @t298)) % 0.45/0.63 (define @t376 () (not @t375)) % 0.45/0.63 (define @t377 () (not @t299)) % 0.45/0.63 (define @t378 () (not @t377)) % 0.45/0.63 (define @t379 () (not @t300)) % 0.45/0.63 (define @t380 () (not @t379)) % 0.45/0.63 (define @t381 () (not @t301)) % 0.45/0.63 (define @t382 () (not @t381)) % 0.45/0.63 (define @t383 () (not @t302)) % 0.45/0.63 (define @t384 () (not @t383)) % 0.45/0.63 (define @t385 () (not @t303)) % 0.45/0.63 (define @t386 () (not @t385)) % 0.45/0.63 (define @t387 () (not @t304)) % 0.45/0.63 (define @t388 () (not @t387)) % 0.45/0.63 (define @t389 () (or @t388 @t386 @t384 @t382 @t380 @t378 @t376 @t374 @t372 @t370 @t368 @t366 @t364 @t362 @t360 @t358 @t356 @t354 @t352 @t350 @t348 @t346 @t344 @t342 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322 @t320 @t265 @t216 @t264 @t253)) % 0.45/0.63 (define @t390 () (and @t387 @t385 @t383 @t381 @t379 @t377 @t375 @t373 @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213)) % 0.45/0.64 (define @t391 () (=> @t390 @t205)) % 0.45/0.64 (define @t392 () (or @t198 @t197 @t196 @t195)) % 0.45/0.64 (define @t393 () (or @t203 @t202 @t201 @t200)) % 0.45/0.64 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.45/0.64 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.45/0.64 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.45/0.64 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.45/0.64 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.45/0.64 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.45/0.64 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.45/0.64 (assume @p8 (forall @t6 (=> @t4 @t10))) % 0.45/0.64 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.45/0.64 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.45/0.64 (assume @p11 (forall @t9 (tptp.gt @t11 @t2))) % 0.45/0.64 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t12)))) % 0.45/0.64 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t12 @t2)))) % 0.45/0.64 (assume @p14 (forall @t16 (=> @t15 (tptp.leq @t14 @t2)))) % 0.45/0.64 (assume @p15 (forall @t16 (=> @t15 (tptp.leq tptp.n0 @t14)))) % 0.45/0.64 (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)))) % 0.45/0.64 (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)))) % 0.45/0.64 (assume @p18 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t28 @t18 @t22) (tptp.a_select3 @t28 @t22 @t18))))))) % 0.45/0.64 (assume @p19 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t38 @t18 @t22) (tptp.a_select3 @t38 @t22 @t18))))))) % 0.45/0.64 (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))))))) % 0.45/0.64 (assume @p21 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t43 @t18 @t22) (tptp.a_select3 @t43 @t22 @t18))))))) % 0.45/0.64 (assume @p22 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t48 @t18 @t22) (tptp.a_select3 @t48 @t22 @t18))))))) % 0.45/0.64 (assume @p23 (forall @t47 (=> @t45 @t50))) % 0.45/0.64 (assume @p24 (forall (@list @t27 @t42 @t29 @t51) (=> (forall @t35 (=> @t52 @t44)) @t50))) % 0.45/0.64 (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))))))) % 0.45/0.64 (assume @p26 (forall @t59 (= @t58 tptp.n0))) % 0.45/0.64 (assume @p27 (forall @t59 (= tptp.tptp_float_0_0 @t58))) % 0.45/0.64 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.45/0.64 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t11))) % 0.45/0.64 (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t11))) % 0.45/0.64 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t60))) % 0.45/0.64 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t60))) % 0.45/0.64 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t61))) % 0.45/0.64 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t61))) % 0.45/0.64 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t62))) % 0.45/0.64 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t62))) % 0.45/0.64 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t63))) % 0.45/0.64 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t63))) % 0.45/0.64 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t64))) % 0.45/0.64 (assume @p40 (forall @t9 (= (tptp.pred @t11) @t2))) % 0.45/0.64 (assume @p41 (forall @t9 (= (tptp.succ @t64) @t2))) % 0.45/0.64 (assume @p42 (forall @t6 (= (tptp.leq @t11 @t12) @t10))) % 0.45/0.64 (assume @p43 (forall @t6 (=> (tptp.leq @t11 @t1) @t4))) % 0.45/0.64 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.45/0.64 (assume @p45 (forall (@list @t2 @t19 @t65 @t39) (= (tptp.a_select3 @t66 @t19 @t65) @t39))) % 0.45/0.64 (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)))) % 0.45/0.64 (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)))) % 0.45/0.64 (assume @p48 (forall (@list @t2 @t19 @t39) (= (tptp.a_select2 @t73 @t19) @t39))) % 0.45/0.64 (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)))) % 0.45/0.64 (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)))) % 0.45/0.64 (assume @p51 tptp.true) % 0.45/0.64 (assume @p52 (not (= tptp.def tptp.use))) % 0.45/0.64 (assume @p53 @t185) % 0.45/0.64 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.45/0.64 (assume @p55 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.45/0.64 (assume @p56 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.45/0.64 (assume @p57 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.45/0.64 (assume @p58 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.45/0.64 (assume @p59 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.45/0.64 (assume @p60 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.45/0.64 (assume @p61 (tptp.gt tptp.n4 tptp.n0)) % 0.45/0.64 (assume @p62 (tptp.gt tptp.n5 tptp.n0)) % 0.45/0.64 (assume @p63 (tptp.gt tptp.n1 tptp.n0)) % 0.45/0.64 (assume @p64 (tptp.gt tptp.n2 tptp.n0)) % 0.45/0.64 (assume @p65 (tptp.gt tptp.n3 tptp.n0)) % 0.45/0.64 (assume @p66 (tptp.gt tptp.n4 tptp.n1)) % 0.45/0.64 (assume @p67 (tptp.gt tptp.n5 tptp.n1)) % 0.45/0.64 (assume @p68 (tptp.gt tptp.n2 tptp.n1)) % 0.45/0.64 (assume @p69 (tptp.gt tptp.n3 tptp.n1)) % 0.45/0.64 (assume @p70 (tptp.gt tptp.n4 tptp.n2)) % 0.45/0.64 (assume @p71 (tptp.gt tptp.n5 tptp.n2)) % 0.45/0.64 (assume @p72 (tptp.gt tptp.n3 tptp.n2)) % 0.45/0.64 (assume @p73 (tptp.gt tptp.n4 tptp.n3)) % 0.45/0.64 (assume @p74 (tptp.gt tptp.n5 tptp.n3)) % 0.45/0.64 (assume @p75 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n4)) (or @t190 @t189 @t188 @t187 @t186)))) % 0.45/0.64 (assume @p76 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n5)) (or @t190 @t189 @t188 @t187 @t186 (= @t2 tptp.n5))))) % 0.45/0.64 (assume @p77 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n0)) @t190))) % 0.45/0.64 (assume @p78 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n1)) (or @t190 @t189)))) % 0.45/0.64 (assume @p79 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n2)) (or @t190 @t189 @t188)))) % 0.45/0.64 (assume @p80 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n3)) (or @t190 @t189 @t188 @t187)))) % 0.45/0.64 (assume @p81 (= @t194 tptp.n4)) % 0.45/0.64 (assume @p82 (= (tptp.succ @t194) tptp.n5)) % 0.45/0.64 (assume @p83 (= @t191 tptp.n1)) % 0.45/0.64 (assume @p84 (= @t192 tptp.n2)) % 0.45/0.64 (assume @p85 (= @t193 tptp.n3)) % 0.45/0.64 (assume @p86 true) % 0.45/0.64 (step @p87 :rule evaluate :args ((not true))) % 0.45/0.64 (step @p88 :rule bool-impl-true1 :args ((and (forall @t181 @t204) (forall @t173 @t199)))) % 0.45/0.64 (step @p89 :rule absorb :args ((= (or @t205 true) true))) % 0.45/0.64 (step @p90 :rule quant-unused-vars :args ((= (forall @t206 true) true))) % 0.45/0.64 (step @p91 :rule bool-or-taut :args ((or @t212 @t211 @t210 @t209 @t208 @t207) @t213 (or @t220 @t217 @t252 @t251 @t250 @t249 @t248 @t247 @t246 @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t233 @t232 @t231 @t230 @t229 @t228 @t226 @t225 @t224 @t223 @t221 @t219 @t216 @t215) false)) % 0.45/0.64 (step @p92 :rule cong :premises (@p91) :args ((forall @t206 @t254))) % 0.45/0.64 (step @p93 :rule trans :premises (@p92 @p90)) % 0.45/0.64 (step @p94 :rule aci_norm :args ((= (or @t212 @t211 @t210 @t209 @t208 @t207 @t213 @t220 @t217 @t252 @t251 @t250 @t249 @t248 @t247 @t246 @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t233 @t232 @t231 @t230 @t229 @t228 @t226 @t225 @t224 @t223 @t221 @t219 false @t216 @t215 @t253) @t254))) % 0.45/0.64 (step @p95 :rule refl :args (@t253)) % 0.45/0.64 (step @p96 :rule refl :args (@t215)) % 0.45/0.64 (step @p97 :rule refl :args (@t216)) % 0.45/0.64 (step @p98 :rule eq-refl :args (tptp.n0)) % 0.45/0.64 (step @p99 :rule cong :premises (@p98) :args (@t256)) % 0.45/0.64 (step @p100 :rule trans :premises (@p99 @p87)) % 0.45/0.64 (step @p101 :rule refl :args (@t219)) % 0.45/0.64 (step @p102 :rule refl :args (@t221)) % 0.45/0.64 (step @p103 :rule refl :args (@t223)) % 0.45/0.64 (step @p104 :rule refl :args (@t224)) % 0.45/0.64 (step @p105 :rule refl :args (@t225)) % 0.45/0.64 (step @p106 :rule refl :args (@t226)) % 0.45/0.64 (step @p107 :rule refl :args (@t228)) % 0.45/0.64 (step @p108 :rule refl :args (@t229)) % 0.45/0.64 (step @p109 :rule refl :args (@t230)) % 0.45/0.64 (step @p110 :rule refl :args (@t231)) % 0.45/0.64 (step @p111 :rule refl :args (@t232)) % 0.45/0.64 (step @p112 :rule refl :args (@t233)) % 0.45/0.64 (step @p113 :rule refl :args (@t235)) % 0.45/0.64 (step @p114 :rule refl :args (@t236)) % 0.45/0.64 (step @p115 :rule refl :args (@t237)) % 0.45/0.64 (step @p116 :rule refl :args (@t238)) % 0.45/0.64 (step @p117 :rule refl :args (@t239)) % 0.45/0.64 (step @p118 :rule refl :args (@t240)) % 0.45/0.64 (step @p119 :rule refl :args (@t241)) % 0.45/0.64 (step @p120 :rule refl :args (@t242)) % 0.45/0.64 (step @p121 :rule refl :args (@t243)) % 0.45/0.64 (step @p122 :rule refl :args (@t244)) % 0.45/0.64 (step @p123 :rule refl :args (@t245)) % 0.45/0.64 (step @p124 :rule refl :args (@t246)) % 0.45/0.64 (step @p125 :rule refl :args (@t247)) % 0.45/0.64 (step @p126 :rule refl :args (@t248)) % 0.45/0.64 (step @p127 :rule refl :args (@t249)) % 0.45/0.64 (step @p128 :rule refl :args (@t250)) % 0.45/0.64 (step @p129 :rule refl :args (@t251)) % 0.45/0.64 (step @p130 :rule refl :args (@t252)) % 0.45/0.64 (step @p131 :rule aci_norm :args ((= (and true @t217) @t217))) % 0.45/0.64 (step @p132 :rule refl :args (@t217)) % 0.45/0.64 (step @p133 :rule nary_cong :premises (@p98 @p132) :args (@t257)) % 0.45/0.64 (step @p134 :rule trans :premises (@p133 @p131)) % 0.45/0.64 (step @p135 :rule aci_norm :args ((= (and true @t220) @t220))) % 0.45/0.64 (step @p136 :rule refl :args (@t220)) % 0.45/0.64 (step @p137 :rule nary_cong :premises (@p98 @p136) :args (@t258)) % 0.45/0.64 (step @p138 :rule trans :premises (@p137 @p135)) % 0.45/0.64 (step @p139 :rule aci_norm :args ((= (and true @t213) @t213))) % 0.45/0.64 (step @p140 :rule refl :args (@t213)) % 0.45/0.64 (step @p141 :rule nary_cong :premises (@p98 @p140) :args (@t259)) % 0.45/0.64 (step @p142 :rule trans :premises (@p141 @p139)) % 0.45/0.64 (step @p143 :rule aci_norm :args ((= (and true @t207) @t207))) % 0.45/0.64 (step @p144 :rule refl :args (@t207)) % 0.45/0.64 (step @p145 :rule nary_cong :premises (@p98 @p144) :args (@t260)) % 0.45/0.64 (step @p146 :rule trans :premises (@p145 @p143)) % 0.45/0.64 (step @p147 :rule aci_norm :args ((= (and true @t208) @t208))) % 0.45/0.64 (step @p148 :rule refl :args (@t208)) % 0.45/0.64 (step @p149 :rule nary_cong :premises (@p98 @p148) :args (@t261)) % 0.45/0.64 (step @p150 :rule trans :premises (@p149 @p147)) % 0.45/0.64 (step @p151 :rule refl :args (@t209)) % 0.45/0.64 (step @p152 :rule refl :args (@t210)) % 0.45/0.64 (step @p153 :rule refl :args (@t211)) % 0.45/0.64 (step @p154 :rule refl :args (@t212)) % 0.45/0.64 (step @p155 :rule nary_cong :premises (@p154 @p153 @p152 @p151 @p150 @p146 @p142 @p138 @p134 @p130 @p129 @p128 @p127 @p126 @p125 @p124 @p123 @p122 @p121 @p120 @p119 @p118 @p117 @p116 @p115 @p114 @p113 @p112 @p111 @p110 @p109 @p108 @p107 @p106 @p105 @p104 @p103 @p102 @p101 @p100 @p97 @p96 @p95) :args (@t262)) % 0.45/0.64 (step @p156 :rule trans :premises (@p155 @p94)) % 0.45/0.64 (step @p157 :rule cong :premises (@p156) :args ((forall @t206 @t262))) % 0.45/0.64 (step @p158 :rule trans :premises (@p157 @p93)) % 0.45/0.64 (step @p159 :rule quant-var-elim-eq :args ((= (forall @t307 (or (not (= @t53 tptp.n0)) @t306 @t305 @t210 @t209 @t304 @t303 @t302 @t301 @t300 @t299 @t298 @t297 @t296 @t295 @t294 @t293 @t292 @t291 @t290 @t289 @t288 @t287 @t286 @t285 @t284 @t283 @t282 @t280 @t279 @t278 @t277 @t276 @t275 @t273 @t272 @t271 @t270 @t268 @t267 @t265 @t216 @t264 @t253)) @t262))) % 0.45/0.64 (step @p160 :rule refl :args (@t253)) % 0.45/0.64 (step @p161 :rule refl :args (@t264)) % 0.45/0.64 (step @p162 :rule refl :args (@t216)) % 0.45/0.64 (step @p163 :rule refl :args (@t265)) % 0.45/0.64 (step @p164 :rule refl :args (@t267)) % 0.45/0.64 (step @p165 :rule refl :args (@t268)) % 0.45/0.64 (step @p166 :rule refl :args (@t270)) % 0.45/0.64 (step @p167 :rule refl :args (@t271)) % 0.45/0.64 (step @p168 :rule refl :args (@t272)) % 0.45/0.64 (step @p169 :rule refl :args (@t273)) % 0.45/0.64 (step @p170 :rule refl :args (@t275)) % 0.45/0.64 (step @p171 :rule refl :args (@t276)) % 0.45/0.64 (step @p172 :rule refl :args (@t277)) % 0.45/0.64 (step @p173 :rule refl :args (@t278)) % 0.45/0.64 (step @p174 :rule refl :args (@t279)) % 0.45/0.64 (step @p175 :rule refl :args (@t280)) % 0.45/0.64 (step @p176 :rule refl :args (@t282)) % 0.45/0.64 (step @p177 :rule refl :args (@t283)) % 0.45/0.64 (step @p178 :rule refl :args (@t284)) % 0.45/0.64 (step @p179 :rule refl :args (@t285)) % 0.45/0.64 (step @p180 :rule refl :args (@t286)) % 0.45/0.64 (step @p181 :rule refl :args (@t287)) % 0.45/0.64 (step @p182 :rule refl :args (@t288)) % 0.45/0.64 (step @p183 :rule refl :args (@t289)) % 0.45/0.64 (step @p184 :rule refl :args (@t290)) % 0.45/0.64 (step @p185 :rule refl :args (@t291)) % 0.45/0.64 (step @p186 :rule refl :args (@t292)) % 0.45/0.64 (step @p187 :rule refl :args (@t293)) % 0.45/0.64 (step @p188 :rule refl :args (@t294)) % 0.45/0.64 (step @p189 :rule refl :args (@t295)) % 0.45/0.64 (step @p190 :rule refl :args (@t296)) % 0.45/0.64 (step @p191 :rule refl :args (@t297)) % 0.45/0.64 (step @p192 :rule refl :args (@t298)) % 0.45/0.64 (step @p193 :rule refl :args (@t299)) % 0.45/0.64 (step @p194 :rule refl :args (@t300)) % 0.45/0.64 (step @p195 :rule refl :args (@t301)) % 0.45/0.64 (step @p196 :rule refl :args (@t302)) % 0.45/0.64 (step @p197 :rule refl :args (@t303)) % 0.45/0.64 (step @p198 :rule refl :args (@t304)) % 0.45/0.64 (step @p199 :rule refl :args (@t209)) % 0.45/0.64 (step @p200 :rule refl :args (@t210)) % 0.45/0.64 (step @p201 :rule refl :args (@t305)) % 0.45/0.64 (step @p202 :rule refl :args (@t306)) % 0.45/0.64 (step @p203 :rule eq-symm :args (tptp.n0 @t53)) % 0.45/0.64 (step @p204 :rule cong :premises (@p203) :args (@t265)) % 0.45/0.64 (step @p205 :rule nary_cong :premises (@p204 @p202 @p201 @p200 @p199 @p198 @p197 @p196 @p195 @p194 @p193 @p192 @p191 @p190 @p189 @p188 @p187 @p186 @p185 @p184 @p183 @p182 @p181 @p180 @p179 @p178 @p177 @p176 @p175 @p174 @p173 @p172 @p171 @p170 @p169 @p168 @p167 @p166 @p165 @p164 @p163 @p162 @p161 @p160) :args (@t308)) % 0.45/0.64 (step @p206 :rule aci_norm :args ((= @t309 @t308))) % 0.45/0.64 (step @p207 :rule trans :premises (@p206 @p205)) % 0.45/0.64 (step @p208 :rule cong :premises (@p207) :args (@t310)) % 0.45/0.64 (step @p209 :rule trans :premises (@p208 @p159)) % 0.45/0.64 (step @p210 :rule cong :premises (@p209) :args (@t311)) % 0.45/0.64 (step @p211 :rule quant-merge-prenex :args ((= @t311 @t312))) % 0.45/0.64 (step @p212 :rule symm :premises (@p211)) % 0.45/0.64 (step @p213 :rule quant_var_reordering :args ((= @t313 @t312))) % 0.45/0.64 (step @p214 :rule trans :premises (@p213 @p212 @p210)) % 0.45/0.64 (step @p215 :rule trans :premises (@p214 @p158)) % 0.45/0.64 (step @p216 :rule refl :args (@t205)) % 0.45/0.64 (step @p217 :rule nary_cong :premises (@p216 @p215) :args (@t314)) % 0.45/0.64 (step @p218 :rule trans :premises (@p217 @p89)) % 0.45/0.64 (step @p219 :rule quant-miniscope-or :args ((= (forall @t165 @t315) @t314))) % 0.45/0.64 (step @p220 :rule aci_norm :args ((= @t316 @t315))) % 0.45/0.64 (step @p221 :rule cong :premises (@p220) :args ((forall @t165 @t316))) % 0.45/0.64 (step @p222 :rule trans :premises (@p221 @p219)) % 0.45/0.64 (step @p223 :rule trans :premises (@p222 @p218)) % 0.45/0.64 (step @p224 :rule aci_norm :args ((= (or @t318 @t317) @t316))) % 0.45/0.64 (step @p225 :rule aci_norm :args ((= (or (or @t304 @t303 @t302 @t301 @t300 @t299 @t298 @t297 @t296 @t295 @t294 @t293 @t292 @t291 @t290 @t289 @t288 @t287 @t286 @t285 @t284 @t283 @t282 @t280 @t279 @t278 @t277 @t276 @t275 @t273 @t272 @t271 @t270 @t268 @t267 @t265 @t216 @t264 @t253) @t205) @t317))) % 0.45/0.64 (step @p226 :rule refl :args (@t205)) % 0.45/0.64 (step @p227 :rule bool-double-not-elim :args (@t267)) % 0.45/0.64 (step @p228 :rule bool-double-not-elim :args (@t268)) % 0.45/0.64 (step @p229 :rule bool-double-not-elim :args (@t270)) % 0.45/0.64 (step @p230 :rule bool-double-not-elim :args (@t271)) % 0.45/0.64 (step @p231 :rule bool-double-not-elim :args (@t272)) % 0.45/0.64 (step @p232 :rule bool-double-not-elim :args (@t273)) % 0.45/0.64 (step @p233 :rule bool-double-not-elim :args (@t275)) % 0.45/0.64 (step @p234 :rule bool-double-not-elim :args (@t276)) % 0.45/0.64 (step @p235 :rule bool-double-not-elim :args (@t277)) % 0.45/0.64 (step @p236 :rule bool-double-not-elim :args (@t278)) % 0.45/0.64 (step @p237 :rule bool-double-not-elim :args (@t279)) % 0.45/0.64 (step @p238 :rule bool-double-not-elim :args (@t280)) % 0.45/0.64 (step @p239 :rule bool-double-not-elim :args (@t282)) % 0.45/0.64 (step @p240 :rule bool-double-not-elim :args (@t283)) % 0.45/0.64 (step @p241 :rule bool-double-not-elim :args (@t284)) % 0.45/0.64 (step @p242 :rule bool-double-not-elim :args (@t285)) % 0.45/0.64 (step @p243 :rule bool-double-not-elim :args (@t286)) % 0.45/0.64 (step @p244 :rule bool-double-not-elim :args (@t287)) % 0.45/0.64 (step @p245 :rule bool-double-not-elim :args (@t288)) % 0.45/0.64 (step @p246 :rule bool-double-not-elim :args (@t289)) % 0.45/0.64 (step @p247 :rule bool-double-not-elim :args (@t290)) % 0.45/0.64 (step @p248 :rule bool-double-not-elim :args (@t291)) % 0.45/0.64 (step @p249 :rule bool-double-not-elim :args (@t292)) % 0.45/0.64 (step @p250 :rule bool-double-not-elim :args (@t293)) % 0.45/0.64 (step @p251 :rule bool-double-not-elim :args (@t294)) % 0.45/0.64 (step @p252 :rule bool-double-not-elim :args (@t295)) % 0.45/0.64 (step @p253 :rule bool-double-not-elim :args (@t296)) % 0.45/0.64 (step @p254 :rule bool-double-not-elim :args (@t297)) % 0.45/0.64 (step @p255 :rule bool-double-not-elim :args (@t298)) % 0.45/0.64 (step @p256 :rule bool-double-not-elim :args (@t299)) % 0.45/0.64 (step @p257 :rule bool-double-not-elim :args (@t300)) % 0.45/0.64 (step @p258 :rule bool-double-not-elim :args (@t301)) % 0.45/0.64 (step @p259 :rule bool-double-not-elim :args (@t302)) % 0.45/0.64 (step @p260 :rule bool-double-not-elim :args (@t303)) % 0.45/0.64 (step @p261 :rule bool-double-not-elim :args (@t304)) % 0.45/0.64 (step @p262 :rule nary_cong :premises (@p261 @p260 @p259 @p258 @p257 @p256 @p255 @p254 @p253 @p252 @p251 @p250 @p249 @p248 @p247 @p246 @p245 @p244 @p243 @p242 @p241 @p240 @p239 @p238 @p237 @p236 @p235 @p234 @p233 @p232 @p231 @p230 @p229 @p228 @p227 @p163 @p162 @p161 @p160) :args (@t389)) % 0.45/0.64 (step @p263 :rule aci_norm :args ((= (or @t388 (or @t386 (or @t384 (or @t382 (or @t380 (or @t378 (or @t376 (or @t374 (or @t372 (or @t370 (or @t368 (or @t366 (or @t364 (or @t362 (or @t360 (or @t358 (or @t356 (or @t354 (or @t352 (or @t350 (or @t348 (or @t346 (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 @t265 (or @t216 (or @t264 @t253)))))))))))))))))))))))))))))))))))))) @t389))) % 0.45/0.64 (step @p264 :rule trans :premises (@p263 @p262)) % 0.45/0.64 (step @p265 :rule bool-and-de-morgan :args (@t263 @t213 true)) % 0.45/0.64 (step @p266 :rule nary_cong :premises (@p162 @p265) :args ((or @t216 @t363))) % 0.45/0.64 (step @p267 :rule bool-and-de-morgan :args (@t77 @t263 (and @t213))) % 0.45/0.64 (step @p268 :rule trans :premises (@p267 @p266)) % 0.45/0.64 (step @p269 :rule nary_cong :premises (@p163 @p268) :args ((or @t265 (not (and @t77 @t263 @t213))))) % 0.45/0.64 (step @p270 :rule bool-and-de-morgan :args (@t78 @t77 (and @t263 @t213))) % 0.45/0.64 (step @p271 :rule trans :premises (@p270 @p269)) % 0.45/0.64 (step @p272 :rule refl :args (@t320)) % 0.45/0.64 (step @p273 :rule nary_cong :premises (@p272 @p271) :args ((or @t320 (not (and @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p274 :rule bool-and-de-morgan :args (@t319 @t78 (and @t77 @t263 @t213))) % 0.45/0.64 (step @p275 :rule trans :premises (@p274 @p273)) % 0.45/0.64 (step @p276 :rule refl :args (@t322)) % 0.45/0.64 (step @p277 :rule nary_cong :premises (@p276 @p275) :args ((or @t322 (not (and @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p278 :rule bool-and-de-morgan :args (@t321 @t319 (and @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p279 :rule trans :premises (@p278 @p277)) % 0.45/0.64 (step @p280 :rule refl :args (@t324)) % 0.45/0.64 (step @p281 :rule nary_cong :premises (@p280 @p279) :args ((or @t324 (not (and @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p282 :rule bool-and-de-morgan :args (@t323 @t321 (and @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p283 :rule trans :premises (@p282 @p281)) % 0.45/0.64 (step @p284 :rule refl :args (@t326)) % 0.45/0.64 (step @p285 :rule nary_cong :premises (@p284 @p283) :args ((or @t326 (not (and @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p286 :rule bool-and-de-morgan :args (@t325 @t323 (and @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p287 :rule trans :premises (@p286 @p285)) % 0.45/0.64 (step @p288 :rule refl :args (@t328)) % 0.45/0.64 (step @p289 :rule nary_cong :premises (@p288 @p287) :args ((or @t328 (not (and @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p290 :rule bool-and-de-morgan :args (@t327 @t325 (and @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p291 :rule trans :premises (@p290 @p289)) % 0.45/0.64 (step @p292 :rule refl :args (@t330)) % 0.45/0.64 (step @p293 :rule nary_cong :premises (@p292 @p291) :args ((or @t330 (not (and @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p294 :rule bool-and-de-morgan :args (@t329 @t327 (and @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p295 :rule trans :premises (@p294 @p293)) % 0.45/0.64 (step @p296 :rule refl :args (@t332)) % 0.45/0.64 (step @p297 :rule nary_cong :premises (@p296 @p295) :args ((or @t332 (not (and @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p298 :rule bool-and-de-morgan :args (@t331 @t329 (and @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p299 :rule trans :premises (@p298 @p297)) % 0.45/0.64 (step @p300 :rule refl :args (@t334)) % 0.45/0.64 (step @p301 :rule nary_cong :premises (@p300 @p299) :args ((or @t334 (not (and @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p302 :rule bool-and-de-morgan :args (@t333 @t331 (and @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p303 :rule trans :premises (@p302 @p301)) % 0.45/0.64 (step @p304 :rule refl :args (@t336)) % 0.45/0.64 (step @p305 :rule nary_cong :premises (@p304 @p303) :args ((or @t336 (not (and @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p306 :rule bool-and-de-morgan :args (@t335 @t333 (and @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p307 :rule trans :premises (@p306 @p305)) % 0.45/0.64 (step @p308 :rule refl :args (@t338)) % 0.45/0.64 (step @p309 :rule nary_cong :premises (@p308 @p307) :args ((or @t338 (not (and @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p310 :rule bool-and-de-morgan :args (@t337 @t335 (and @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p311 :rule trans :premises (@p310 @p309)) % 0.45/0.64 (step @p312 :rule refl :args (@t340)) % 0.45/0.64 (step @p313 :rule nary_cong :premises (@p312 @p311) :args ((or @t340 (not (and @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p314 :rule bool-and-de-morgan :args (@t339 @t337 (and @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p315 :rule trans :premises (@p314 @p313)) % 0.45/0.64 (step @p316 :rule refl :args (@t342)) % 0.45/0.64 (step @p317 :rule nary_cong :premises (@p316 @p315) :args ((or @t342 (not (and @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p318 :rule bool-and-de-morgan :args (@t341 @t339 (and @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p319 :rule trans :premises (@p318 @p317)) % 0.45/0.64 (step @p320 :rule refl :args (@t344)) % 0.45/0.64 (step @p321 :rule nary_cong :premises (@p320 @p319) :args ((or @t344 (not (and @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p322 :rule bool-and-de-morgan :args (@t343 @t341 (and @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p323 :rule trans :premises (@p322 @p321)) % 0.45/0.64 (step @p324 :rule refl :args (@t346)) % 0.45/0.64 (step @p325 :rule nary_cong :premises (@p324 @p323) :args ((or @t346 (not (and @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p326 :rule bool-and-de-morgan :args (@t345 @t343 (and @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p327 :rule trans :premises (@p326 @p325)) % 0.45/0.64 (step @p328 :rule refl :args (@t348)) % 0.45/0.64 (step @p329 :rule nary_cong :premises (@p328 @p327) :args ((or @t348 (not (and @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p330 :rule bool-and-de-morgan :args (@t347 @t345 (and @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p331 :rule trans :premises (@p330 @p329)) % 0.45/0.64 (step @p332 :rule refl :args (@t350)) % 0.45/0.64 (step @p333 :rule nary_cong :premises (@p332 @p331) :args ((or @t350 (not (and @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p334 :rule bool-and-de-morgan :args (@t349 @t347 (and @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p335 :rule trans :premises (@p334 @p333)) % 0.45/0.64 (step @p336 :rule refl :args (@t352)) % 0.45/0.64 (step @p337 :rule nary_cong :premises (@p336 @p335) :args ((or @t352 (not (and @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p338 :rule bool-and-de-morgan :args (@t351 @t349 (and @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p339 :rule trans :premises (@p338 @p337)) % 0.45/0.64 (step @p340 :rule refl :args (@t354)) % 0.45/0.64 (step @p341 :rule nary_cong :premises (@p340 @p339) :args ((or @t354 (not (and @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p342 :rule bool-and-de-morgan :args (@t353 @t351 (and @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p343 :rule trans :premises (@p342 @p341)) % 0.45/0.64 (step @p344 :rule refl :args (@t356)) % 0.45/0.64 (step @p345 :rule nary_cong :premises (@p344 @p343) :args ((or @t356 (not (and @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p346 :rule bool-and-de-morgan :args (@t355 @t353 (and @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p347 :rule trans :premises (@p346 @p345)) % 0.45/0.64 (step @p348 :rule refl :args (@t358)) % 0.45/0.64 (step @p349 :rule nary_cong :premises (@p348 @p347) :args ((or @t358 (not (and @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p350 :rule bool-and-de-morgan :args (@t357 @t355 (and @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p351 :rule trans :premises (@p350 @p349)) % 0.45/0.64 (step @p352 :rule refl :args (@t360)) % 0.45/0.64 (step @p353 :rule nary_cong :premises (@p352 @p351) :args ((or @t360 (not (and @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p354 :rule bool-and-de-morgan :args (@t359 @t357 (and @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p355 :rule trans :premises (@p354 @p353)) % 0.45/0.64 (step @p356 :rule refl :args (@t362)) % 0.45/0.64 (step @p357 :rule nary_cong :premises (@p356 @p355) :args ((or @t362 (not (and @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p358 :rule bool-and-de-morgan :args (@t361 @t359 (and @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p359 :rule trans :premises (@p358 @p357)) % 0.45/0.64 (step @p360 :rule refl :args (@t364)) % 0.45/0.64 (step @p361 :rule nary_cong :premises (@p360 @p359) :args ((or @t364 (not (and @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p362 :rule bool-and-de-morgan :args (@t363 @t361 (and @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p363 :rule trans :premises (@p362 @p361)) % 0.45/0.64 (step @p364 :rule refl :args (@t366)) % 0.45/0.64 (step @p365 :rule nary_cong :premises (@p364 @p363) :args ((or @t366 (not (and @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p366 :rule bool-and-de-morgan :args (@t365 @t363 (and @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p367 :rule trans :premises (@p366 @p365)) % 0.45/0.64 (step @p368 :rule refl :args (@t368)) % 0.45/0.64 (step @p369 :rule nary_cong :premises (@p368 @p367) :args ((or @t368 (not (and @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p370 :rule bool-and-de-morgan :args (@t367 @t365 (and @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p371 :rule trans :premises (@p370 @p369)) % 0.45/0.64 (step @p372 :rule refl :args (@t370)) % 0.45/0.64 (step @p373 :rule nary_cong :premises (@p372 @p371) :args ((or @t370 (not (and @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p374 :rule bool-and-de-morgan :args (@t369 @t367 (and @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p375 :rule trans :premises (@p374 @p373)) % 0.45/0.64 (step @p376 :rule refl :args (@t372)) % 0.45/0.64 (step @p377 :rule nary_cong :premises (@p376 @p375) :args ((or @t372 (not (and @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p378 :rule bool-and-de-morgan :args (@t371 @t369 (and @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p379 :rule trans :premises (@p378 @p377)) % 0.45/0.64 (step @p380 :rule refl :args (@t374)) % 0.45/0.64 (step @p381 :rule nary_cong :premises (@p380 @p379) :args ((or @t374 (not (and @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p382 :rule bool-and-de-morgan :args (@t373 @t371 (and @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p383 :rule trans :premises (@p382 @p381)) % 0.45/0.64 (step @p384 :rule refl :args (@t376)) % 0.45/0.64 (step @p385 :rule nary_cong :premises (@p384 @p383) :args ((or @t376 (not (and @t373 @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p386 :rule bool-and-de-morgan :args (@t375 @t373 (and @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p387 :rule trans :premises (@p386 @p385)) % 0.45/0.64 (step @p388 :rule refl :args (@t378)) % 0.45/0.64 (step @p389 :rule nary_cong :premises (@p388 @p387) :args ((or @t378 (not (and @t375 @t373 @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p390 :rule bool-and-de-morgan :args (@t377 @t375 (and @t373 @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p391 :rule trans :premises (@p390 @p389)) % 0.45/0.64 (step @p392 :rule refl :args (@t380)) % 0.45/0.64 (step @p393 :rule nary_cong :premises (@p392 @p391) :args ((or @t380 (not (and @t377 @t375 @t373 @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p394 :rule bool-and-de-morgan :args (@t379 @t377 (and @t375 @t373 @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p395 :rule trans :premises (@p394 @p393)) % 0.45/0.64 (step @p396 :rule refl :args (@t382)) % 0.45/0.64 (step @p397 :rule nary_cong :premises (@p396 @p395) :args ((or @t382 (not (and @t379 @t377 @t375 @t373 @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p398 :rule bool-and-de-morgan :args (@t381 @t379 (and @t377 @t375 @t373 @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p399 :rule trans :premises (@p398 @p397)) % 0.45/0.64 (step @p400 :rule refl :args (@t384)) % 0.45/0.64 (step @p401 :rule nary_cong :premises (@p400 @p399) :args ((or @t384 (not (and @t381 @t379 @t377 @t375 @t373 @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p402 :rule bool-and-de-morgan :args (@t383 @t381 (and @t379 @t377 @t375 @t373 @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p403 :rule trans :premises (@p402 @p401)) % 0.45/0.64 (step @p404 :rule refl :args (@t386)) % 0.45/0.64 (step @p405 :rule nary_cong :premises (@p404 @p403) :args ((or @t386 (not (and @t383 @t381 @t379 @t377 @t375 @t373 @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p406 :rule bool-and-de-morgan :args (@t385 @t383 (and @t381 @t379 @t377 @t375 @t373 @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p407 :rule trans :premises (@p406 @p405)) % 0.45/0.64 (step @p408 :rule refl :args (@t388)) % 0.45/0.64 (step @p409 :rule nary_cong :premises (@p408 @p407) :args ((or @t388 (not (and @t385 @t383 @t381 @t379 @t377 @t375 @t373 @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))))) % 0.45/0.64 (step @p410 :rule bool-and-de-morgan :args (@t387 @t385 (and @t383 @t381 @t379 @t377 @t375 @t373 @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t78 @t77 @t263 @t213))) % 0.45/0.64 (step @p411 :rule trans :premises (@p410 @p409)) % 0.45/0.64 (step @p412 :rule trans :premises (@p411 @p264)) % 0.45/0.64 (step @p413 :rule nary_cong :premises (@p412 @p226) :args ((or (not @t390) @t205))) % 0.45/0.64 (step @p414 :rule trans :premises (@p413 @p225)) % 0.45/0.64 (step @p415 :rule bool-impl-elim :args (@t390 @t205)) % 0.45/0.64 (step @p416 :rule trans :premises (@p415 @p414)) % 0.45/0.64 (step @p417 :rule aci_norm :args ((= (or @t306 (or @t210 (or @t305 @t209))) @t318))) % 0.45/0.64 (step @p418 :rule bool-and-de-morgan :args (@t160 @t159 true)) % 0.45/0.64 (step @p419 :rule nary_cong :premises (@p200 @p418) :args ((or @t210 (not (and @t160 @t159))))) % 0.45/0.64 (step @p420 :rule bool-and-de-morgan :args (@t161 @t160 (and @t159))) % 0.45/0.64 (step @p421 :rule trans :premises (@p420 @p419)) % 0.45/0.64 (step @p422 :rule nary_cong :premises (@p202 @p421) :args ((or @t306 (not (and @t161 @t160 @t159))))) % 0.45/0.64 (step @p423 :rule bool-and-de-morgan :args (@t162 @t161 (and @t160 @t159))) % 0.45/0.64 (step @p424 :rule trans :premises (@p423 @p422)) % 0.45/0.64 (step @p425 :rule trans :premises (@p424 @p417)) % 0.45/0.64 (step @p426 :rule nary_cong :premises (@p425 @p416) :args ((or (not @t163) @t391))) % 0.45/0.64 (step @p427 :rule trans :premises (@p426 @p224)) % 0.45/0.64 (step @p428 :rule bool-impl-elim :args (@t163 @t391)) % 0.45/0.64 (step @p429 :rule trans :premises (@p428 @p427)) % 0.45/0.64 (step @p430 :rule cong :premises (@p429) :args ((forall @t165 (=> @t163 @t391)))) % 0.45/0.64 (step @p431 :rule trans :premises (@p430 @p223)) % 0.45/0.64 (step @p432 :rule eq-symm :args (@t74 tptp.n0)) % 0.45/0.64 (step @p433 :rule eq-symm :args (tptp.n3 @t54)) % 0.45/0.64 (step @p434 :rule eq-symm :args (tptp.n1 @t53)) % 0.45/0.64 (step @p435 :rule refl :args (@t77)) % 0.45/0.64 (step @p436 :rule refl :args (@t78)) % 0.45/0.64 (step @p437 :rule eq-symm :args (tptp.n5 @t54)) % 0.45/0.64 (step @p438 :rule eq-symm :args (tptp.n5 @t53)) % 0.45/0.64 (step @p439 :rule nary_cong :premises (@p438 @p437) :args (@t81)) % 0.45/0.64 (step @p440 :rule cong :premises (@p439) :args (@t82)) % 0.45/0.64 (step @p441 :rule eq-symm :args (tptp.n4 @t54)) % 0.45/0.64 (step @p442 :rule nary_cong :premises (@p441 @p438) :args (@t84)) % 0.45/0.64 (step @p443 :rule cong :premises (@p442) :args (@t85)) % 0.45/0.64 (step @p444 :rule eq-symm :args (tptp.n4 @t53)) % 0.45/0.64 (step @p445 :rule nary_cong :premises (@p444 @p437) :args (@t87)) % 0.45/0.64 (step @p446 :rule cong :premises (@p445) :args (@t88)) % 0.45/0.64 (step @p447 :rule nary_cong :premises (@p444 @p441) :args (@t89)) % 0.45/0.64 (step @p448 :rule cong :premises (@p447) :args (@t90)) % 0.45/0.64 (step @p449 :rule nary_cong :premises (@p433 @p438) :args (@t91)) % 0.45/0.64 (step @p450 :rule cong :premises (@p449) :args (@t92)) % 0.45/0.64 (step @p451 :rule nary_cong :premises (@p433 @p444) :args (@t93)) % 0.45/0.64 (step @p452 :rule cong :premises (@p451) :args (@t94)) % 0.45/0.64 (step @p453 :rule eq-symm :args (tptp.n3 @t53)) % 0.45/0.64 (step @p454 :rule nary_cong :premises (@p453 @p437) :args (@t96)) % 0.45/0.64 (step @p455 :rule cong :premises (@p454) :args (@t97)) % 0.45/0.64 (step @p456 :rule nary_cong :premises (@p453 @p441) :args (@t98)) % 0.45/0.64 (step @p457 :rule cong :premises (@p456) :args (@t99)) % 0.45/0.64 (step @p458 :rule nary_cong :premises (@p453 @p433) :args (@t100)) % 0.45/0.64 (step @p459 :rule cong :premises (@p458) :args (@t101)) % 0.45/0.64 (step @p460 :rule eq-symm :args (tptp.n2 @t54)) % 0.45/0.64 (step @p461 :rule nary_cong :premises (@p460 @p438) :args (@t103)) % 0.45/0.64 (step @p462 :rule cong :premises (@p461) :args (@t104)) % 0.45/0.64 (step @p463 :rule nary_cong :premises (@p460 @p444) :args (@t105)) % 0.45/0.64 (step @p464 :rule cong :premises (@p463) :args (@t106)) % 0.45/0.64 (step @p465 :rule nary_cong :premises (@p460 @p453) :args (@t107)) % 0.45/0.64 (step @p466 :rule cong :premises (@p465) :args (@t108)) % 0.45/0.64 (step @p467 :rule eq-symm :args (tptp.n2 @t53)) % 0.45/0.64 (step @p468 :rule nary_cong :premises (@p467 @p437) :args (@t110)) % 0.45/0.64 (step @p469 :rule cong :premises (@p468) :args (@t111)) % 0.45/0.64 (step @p470 :rule nary_cong :premises (@p467 @p441) :args (@t112)) % 0.45/0.64 (step @p471 :rule cong :premises (@p470) :args (@t113)) % 0.45/0.64 (step @p472 :rule nary_cong :premises (@p467 @p433) :args (@t114)) % 0.45/0.64 (step @p473 :rule cong :premises (@p472) :args (@t115)) % 0.45/0.64 (step @p474 :rule nary_cong :premises (@p467 @p460) :args (@t116)) % 0.45/0.64 (step @p475 :rule cong :premises (@p474) :args (@t117)) % 0.45/0.64 (step @p476 :rule eq-symm :args (tptp.n1 @t54)) % 0.45/0.64 (step @p477 :rule nary_cong :premises (@p476 @p438) :args (@t119)) % 0.45/0.64 (step @p478 :rule cong :premises (@p477) :args (@t120)) % 0.45/0.64 (step @p479 :rule nary_cong :premises (@p476 @p444) :args (@t121)) % 0.45/0.64 (step @p480 :rule cong :premises (@p479) :args (@t122)) % 0.45/0.64 (step @p481 :rule nary_cong :premises (@p476 @p453) :args (@t123)) % 0.45/0.64 (step @p482 :rule cong :premises (@p481) :args (@t124)) % 0.45/0.64 (step @p483 :rule nary_cong :premises (@p476 @p467) :args (@t125)) % 0.45/0.64 (step @p484 :rule cong :premises (@p483) :args (@t126)) % 0.45/0.64 (step @p485 :rule nary_cong :premises (@p434 @p437) :args (@t127)) % 0.45/0.64 (step @p486 :rule cong :premises (@p485) :args (@t128)) % 0.45/0.64 (step @p487 :rule nary_cong :premises (@p434 @p441) :args (@t129)) % 0.45/0.64 (step @p488 :rule cong :premises (@p487) :args (@t130)) % 0.45/0.64 (step @p489 :rule nary_cong :premises (@p434 @p433) :args (@t131)) % 0.45/0.64 (step @p490 :rule cong :premises (@p489) :args (@t132)) % 0.45/0.64 (step @p491 :rule nary_cong :premises (@p434 @p460) :args (@t133)) % 0.45/0.64 (step @p492 :rule cong :premises (@p491) :args (@t134)) % 0.45/0.64 (step @p493 :rule nary_cong :premises (@p434 @p476) :args (@t135)) % 0.45/0.64 (step @p494 :rule cong :premises (@p493) :args (@t136)) % 0.45/0.64 (step @p495 :rule nary_cong :premises (@p435 @p438) :args (@t137)) % 0.45/0.64 (step @p496 :rule cong :premises (@p495) :args (@t138)) % 0.45/0.64 (step @p497 :rule nary_cong :premises (@p435 @p444) :args (@t139)) % 0.45/0.64 (step @p498 :rule cong :premises (@p497) :args (@t140)) % 0.45/0.64 (step @p499 :rule nary_cong :premises (@p435 @p453) :args (@t141)) % 0.45/0.64 (step @p500 :rule cong :premises (@p499) :args (@t142)) % 0.45/0.64 (step @p501 :rule nary_cong :premises (@p435 @p467) :args (@t143)) % 0.45/0.64 (step @p502 :rule cong :premises (@p501) :args (@t144)) % 0.45/0.64 (step @p503 :rule nary_cong :premises (@p435 @p434) :args (@t145)) % 0.45/0.64 (step @p504 :rule cong :premises (@p503) :args (@t146)) % 0.45/0.64 (step @p505 :rule nary_cong :premises (@p436 @p437) :args (@t147)) % 0.45/0.64 (step @p506 :rule cong :premises (@p505) :args (@t148)) % 0.45/0.64 (step @p507 :rule nary_cong :premises (@p436 @p441) :args (@t149)) % 0.45/0.64 (step @p508 :rule cong :premises (@p507) :args (@t150)) % 0.45/0.64 (step @p509 :rule nary_cong :premises (@p436 @p433) :args (@t151)) % 0.45/0.64 (step @p510 :rule cong :premises (@p509) :args (@t152)) % 0.45/0.64 (step @p511 :rule nary_cong :premises (@p436 @p460) :args (@t153)) % 0.45/0.64 (step @p512 :rule cong :premises (@p511) :args (@t154)) % 0.45/0.64 (step @p513 :rule nary_cong :premises (@p436 @p476) :args (@t155)) % 0.45/0.64 (step @p514 :rule cong :premises (@p513) :args (@t156)) % 0.45/0.64 (step @p515 :rule nary_cong :premises (@p514 @p512 @p510 @p508 @p506 @p504 @p502 @p500 @p498 @p496 @p494 @p492 @p490 @p488 @p486 @p484 @p482 @p480 @p478 @p475 @p473 @p471 @p469 @p466 @p464 @p462 @p459 @p457 @p455 @p452 @p450 @p448 @p446 @p443 @p440 @p436 @p435 @p434 @p433) :args (@t157)) % 0.45/0.64 (step @p516 :rule cong :premises (@p515 @p432) :args (@t158)) % 0.45/0.64 (step @p517 :rule refl :args (@t163)) % 0.45/0.64 (step @p518 :rule cong :premises (@p517 @p516) :args (@t164)) % 0.45/0.64 (step @p519 :rule cong :premises (@p518) :args (@t166)) % 0.45/0.64 (step @p520 :rule trans :premises (@p519 @p431)) % 0.45/0.64 (step @p521 :rule aci_norm :args ((= (or @t392 @t167) @t199))) % 0.45/0.64 (step @p522 :rule refl :args (@t167)) % 0.45/0.64 (step @p523 :rule aci_norm :args ((= (or @t198 (or @t197 (or @t196 @t195))) @t392))) % 0.45/0.64 (step @p524 :rule bool-and-de-morgan :args (@t169 @t168 true)) % 0.45/0.64 (step @p525 :rule refl :args (@t197)) % 0.45/0.64 (step @p526 :rule nary_cong :premises (@p525 @p524) :args ((or @t197 (not (and @t169 @t168))))) % 0.45/0.64 (step @p527 :rule bool-and-de-morgan :args (@t170 @t169 (and @t168))) % 0.45/0.64 (step @p528 :rule trans :premises (@p527 @p526)) % 0.45/0.64 (step @p529 :rule refl :args (@t198)) % 0.45/0.64 (step @p530 :rule nary_cong :premises (@p529 @p528) :args ((or @t198 (not (and @t170 @t169 @t168))))) % 0.45/0.64 (step @p531 :rule bool-and-de-morgan :args (@t171 @t170 (and @t169 @t168))) % 0.45/0.64 (step @p532 :rule trans :premises (@p531 @p530)) % 0.45/0.64 (step @p533 :rule trans :premises (@p532 @p523)) % 0.45/0.64 (step @p534 :rule nary_cong :premises (@p533 @p522) :args ((or (not @t172) @t167))) % 0.45/0.64 (step @p535 :rule trans :premises (@p534 @p521)) % 0.45/0.64 (step @p536 :rule bool-impl-elim :args (@t172 @t167)) % 0.45/0.64 (step @p537 :rule trans :premises (@p536 @p535)) % 0.45/0.64 (step @p538 :rule cong :premises (@p537) :args (@t174)) % 0.45/0.64 (step @p539 :rule aci_norm :args ((= (or @t393 @t175) @t204))) % 0.45/0.64 (step @p540 :rule refl :args (@t175)) % 0.45/0.64 (step @p541 :rule aci_norm :args ((= (or @t203 (or @t202 (or @t201 @t200))) @t393))) % 0.45/0.64 (step @p542 :rule bool-and-de-morgan :args (@t177 @t176 true)) % 0.45/0.64 (step @p543 :rule refl :args (@t202)) % 0.45/0.64 (step @p544 :rule nary_cong :premises (@p543 @p542) :args ((or @t202 (not (and @t177 @t176))))) % 0.45/0.64 (step @p545 :rule bool-and-de-morgan :args (@t178 @t177 (and @t176))) % 0.45/0.64 (step @p546 :rule trans :premises (@p545 @p544)) % 0.45/0.64 (step @p547 :rule refl :args (@t203)) % 0.45/0.64 (step @p548 :rule nary_cong :premises (@p547 @p546) :args ((or @t203 (not (and @t178 @t177 @t176))))) % 0.45/0.64 (step @p549 :rule bool-and-de-morgan :args (@t179 @t178 (and @t177 @t176))) % 0.45/0.64 (step @p550 :rule trans :premises (@p549 @p548)) % 0.45/0.64 (step @p551 :rule trans :premises (@p550 @p541)) % 0.45/0.64 (step @p552 :rule nary_cong :premises (@p551 @p540) :args ((or (not @t180) @t175))) % 0.45/0.64 (step @p553 :rule trans :premises (@p552 @p539)) % 0.45/0.64 (step @p554 :rule bool-impl-elim :args (@t180 @t175)) % 0.45/0.64 (step @p555 :rule trans :premises (@p554 @p553)) % 0.45/0.64 (step @p556 :rule cong :premises (@p555) :args (@t182)) % 0.45/0.64 (step @p557 :rule nary_cong :premises (@p556 @p538) :args (@t183)) % 0.45/0.64 (step @p558 :rule cong :premises (@p557 @p520) :args (@t184)) % 0.45/0.64 (step @p559 :rule trans :premises (@p558 @p88)) % 0.45/0.64 (step @p560 :rule cong :premises (@p559) :args (@t185)) % 0.45/0.64 (step @p561 :rule trans :premises (@p560 @p87)) % 0.45/0.64 (step @p562 false :rule eq_resolve :premises (@p53 @p561)) % 0.45/0.64 ) % 0.45/0.64 % SZS output end Proof % 0.45/0.64 % cvc5 exiting %------------------------------------------------------------------------------