%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV227+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 : n017.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 0.45s 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 : SWV227+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n017.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:58:01 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.51 %----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.n4)) % 0.45/0.63 (define @t75 () (= tptp.n5 @t53)) % 0.45/0.63 (define @t76 () (= tptp.n4 @t54)) % 0.45/0.63 (define @t77 () (= tptp.n4 @t53)) % 0.45/0.63 (define @t78 () (= tptp.n2 @t54)) % 0.45/0.63 (define @t79 () (= tptp.n5 @t54)) % 0.45/0.63 (define @t80 () (and @t75 @t79)) % 0.45/0.63 (define @t81 () (not @t80)) % 0.45/0.63 (define @t82 () (and @t76 @t75)) % 0.45/0.63 (define @t83 () (not @t82)) % 0.45/0.63 (define @t84 () (and @t77 @t79)) % 0.45/0.63 (define @t85 () (not @t84)) % 0.45/0.63 (define @t86 () (and @t77 @t76)) % 0.45/0.63 (define @t87 () (not @t86)) % 0.45/0.63 (define @t88 () (= tptp.n3 @t54)) % 0.45/0.63 (define @t89 () (and @t88 @t75)) % 0.45/0.63 (define @t90 () (not @t89)) % 0.45/0.63 (define @t91 () (and @t88 @t77)) % 0.45/0.63 (define @t92 () (not @t91)) % 0.45/0.63 (define @t93 () (= tptp.n3 @t53)) % 0.45/0.63 (define @t94 () (and @t93 @t79)) % 0.45/0.63 (define @t95 () (not @t94)) % 0.45/0.63 (define @t96 () (and @t93 @t76)) % 0.45/0.63 (define @t97 () (not @t96)) % 0.45/0.63 (define @t98 () (and @t93 @t88)) % 0.45/0.63 (define @t99 () (not @t98)) % 0.45/0.63 (define @t100 () (and @t78 @t75)) % 0.45/0.63 (define @t101 () (not @t100)) % 0.45/0.63 (define @t102 () (= tptp.n2 @t53)) % 0.45/0.63 (define @t103 () (and @t102 @t79)) % 0.45/0.63 (define @t104 () (not @t103)) % 0.45/0.63 (define @t105 () (and @t102 @t76)) % 0.45/0.63 (define @t106 () (not @t105)) % 0.45/0.63 (define @t107 () (and @t102 @t88)) % 0.45/0.63 (define @t108 () (not @t107)) % 0.45/0.63 (define @t109 () (and (= tptp.n1 @t54) @t75)) % 0.45/0.63 (define @t110 () (not @t109)) % 0.45/0.63 (define @t111 () (= tptp.n1 @t53)) % 0.45/0.63 (define @t112 () (and @t111 @t79)) % 0.45/0.63 (define @t113 () (not @t112)) % 0.45/0.63 (define @t114 () (and @t111 @t76)) % 0.45/0.63 (define @t115 () (not @t114)) % 0.45/0.63 (define @t116 () (and @t111 @t88)) % 0.45/0.63 (define @t117 () (not @t116)) % 0.45/0.63 (define @t118 () (= tptp.n0 @t54)) % 0.45/0.63 (define @t119 () (and @t118 @t75)) % 0.45/0.63 (define @t120 () (not @t119)) % 0.45/0.63 (define @t121 () (= tptp.n0 @t53)) % 0.45/0.63 (define @t122 () (and @t121 @t79)) % 0.45/0.63 (define @t123 () (not @t122)) % 0.45/0.63 (define @t124 () (and @t121 @t76)) % 0.45/0.63 (define @t125 () (not @t124)) % 0.45/0.63 (define @t126 () (and @t121 @t88)) % 0.45/0.63 (define @t127 () (not @t126)) % 0.45/0.63 (define @t128 () (and @t127 @t125 @t123 @t120 @t117 @t115 @t113 @t110 @t108 @t106 @t104 @t101 @t99 @t97 @t95 @t92 @t90 @t87 @t85 @t83 @t81 @t78 @t77 @t76 @t75)) % 0.45/0.63 (define @t129 () (=> @t128 (= @t74 tptp.n0))) % 0.45/0.63 (define @t130 () (tptp.leq @t54 tptp.n5)) % 0.45/0.63 (define @t131 () (tptp.leq @t53 tptp.n5)) % 0.45/0.63 (define @t132 () (tptp.leq tptp.n0 @t54)) % 0.45/0.63 (define @t133 () (tptp.leq tptp.n0 @t53)) % 0.45/0.63 (define @t134 () (and @t133 @t132 @t131 @t130)) % 0.45/0.63 (define @t135 () (=> @t134 @t129)) % 0.45/0.63 (define @t136 () (@list @t53 @t54)) % 0.45/0.63 (define @t137 () (forall @t136 @t135)) % 0.45/0.63 (define @t138 () (= (tptp.a_select3 tptp.r_ds1_filter @t13 @t55) (tptp.a_select3 tptp.r_ds1_filter @t55 @t13))) % 0.45/0.63 (define @t139 () (tptp.leq @t55 tptp.n2)) % 0.45/0.63 (define @t140 () (tptp.leq @t13 tptp.n2)) % 0.45/0.63 (define @t141 () (tptp.leq tptp.n0 @t55)) % 0.45/0.63 (define @t142 () (tptp.leq tptp.n0 @t13)) % 0.45/0.63 (define @t143 () (and @t142 @t141 @t140 @t139)) % 0.45/0.63 (define @t144 () (@list @t13 @t55)) % 0.45/0.63 (define @t145 () (forall @t144 (=> @t143 @t138))) % 0.45/0.63 (define @t146 () (= (tptp.a_select3 tptp.q_ds1_filter @t27 @t42) (tptp.a_select3 tptp.q_ds1_filter @t42 @t27))) % 0.45/0.63 (define @t147 () (tptp.leq @t42 tptp.n5)) % 0.45/0.63 (define @t148 () (tptp.leq @t27 tptp.n5)) % 0.45/0.63 (define @t149 () (tptp.leq tptp.n0 @t42)) % 0.45/0.63 (define @t150 () (tptp.leq tptp.n0 @t27)) % 0.45/0.63 (define @t151 () (and @t150 @t149 @t148 @t147)) % 0.45/0.63 (define @t152 () (@list @t27 @t42)) % 0.45/0.63 (define @t153 () (forall @t152 (=> @t151 @t146))) % 0.45/0.63 (define @t154 () (and @t153 @t145)) % 0.45/0.63 (define @t155 () (=> @t154 @t137)) % 0.45/0.63 (define @t156 () (not @t155)) % 0.45/0.63 (define @t157 () (= @t2 tptp.n4)) % 0.45/0.63 (define @t158 () (= @t2 tptp.n3)) % 0.45/0.63 (define @t159 () (= @t2 tptp.n2)) % 0.45/0.63 (define @t160 () (= @t2 tptp.n1)) % 0.45/0.63 (define @t161 () (= @t2 tptp.n0)) % 0.45/0.63 (define @t162 () (tptp.succ tptp.n0)) % 0.45/0.63 (define @t163 () (tptp.succ @t162)) % 0.45/0.63 (define @t164 () (tptp.succ @t163)) % 0.45/0.63 (define @t165 () (tptp.succ @t164)) % 0.45/0.63 (define @t166 () (not @t139)) % 0.45/0.63 (define @t167 () (not @t140)) % 0.45/0.63 (define @t168 () (not @t141)) % 0.45/0.63 (define @t169 () (not @t142)) % 0.45/0.63 (define @t170 () (or @t169 @t168 @t167 @t166 @t138)) % 0.45/0.63 (define @t171 () (not @t147)) % 0.45/0.63 (define @t172 () (not @t148)) % 0.45/0.63 (define @t173 () (not @t149)) % 0.45/0.63 (define @t174 () (not @t150)) % 0.45/0.63 (define @t175 () (or @t174 @t173 @t172 @t171 @t146)) % 0.45/0.63 (define @t176 () (= tptp.n0 @t74)) % 0.45/0.63 (define @t177 () (@list @t53)) % 0.45/0.63 (define @t178 () (= tptp.n2 tptp.n5)) % 0.45/0.63 (define @t179 () (= @t53 tptp.n2)) % 0.45/0.63 (define @t180 () (and @t179 @t178)) % 0.45/0.63 (define @t181 () (= tptp.n2 tptp.n4)) % 0.45/0.63 (define @t182 () (and @t179 @t181)) % 0.45/0.63 (define @t183 () (= tptp.n2 tptp.n3)) % 0.45/0.63 (define @t184 () (and @t179 @t183)) % 0.45/0.63 (define @t185 () (= @t53 tptp.n5)) % 0.45/0.63 (define @t186 () (and (= tptp.n1 tptp.n2) @t185)) % 0.45/0.63 (define @t187 () (= @t53 tptp.n1)) % 0.45/0.63 (define @t188 () (and @t187 @t178)) % 0.45/0.63 (define @t189 () (and @t187 @t181)) % 0.45/0.63 (define @t190 () (and @t187 @t183)) % 0.45/0.63 (define @t191 () (and (= tptp.n0 tptp.n2) @t185)) % 0.45/0.63 (define @t192 () (and @t121 @t178)) % 0.45/0.63 (define @t193 () (and @t121 @t181)) % 0.45/0.63 (define @t194 () (and @t121 @t183)) % 0.45/0.63 (define @t195 () (not (tptp.leq tptp.n2 tptp.n5))) % 0.45/0.63 (define @t196 () (not (tptp.leq tptp.n0 tptp.n2))) % 0.45/0.63 (define @t197 () (not @t131)) % 0.45/0.63 (define @t198 () (not @t133)) % 0.45/0.63 (define @t199 () (not @t181)) % 0.45/0.63 (define @t200 () (= @t53 tptp.n4)) % 0.45/0.63 (define @t201 () (not @t200)) % 0.45/0.63 (define @t202 () (and @t185 @t178)) % 0.45/0.63 (define @t203 () (and @t181 @t185)) % 0.45/0.63 (define @t204 () (and @t200 @t178)) % 0.45/0.63 (define @t205 () (and @t200 @t181)) % 0.45/0.63 (define @t206 () (and @t183 @t185)) % 0.45/0.63 (define @t207 () (and @t183 @t200)) % 0.45/0.63 (define @t208 () (= @t53 tptp.n3)) % 0.45/0.63 (define @t209 () (and @t208 @t178)) % 0.45/0.63 (define @t210 () (and @t208 @t181)) % 0.45/0.63 (define @t211 () (and @t208 @t183)) % 0.45/0.63 (define @t212 () (not @t185)) % 0.45/0.63 (define @t213 () (or @t198 @t197 @t196 @t195 @t194 @t193 @t192 @t191 @t190 @t189 @t188 @t186 @t184 @t182 @t180 @t185 @t211 @t210 @t209 @t207 @t206 @t205 @t204 @t203 @t202 @t201 @t199 @t212)) % 0.45/0.63 (define @t214 () (= tptp.n2 tptp.n2)) % 0.45/0.63 (define @t215 () (not @t214)) % 0.45/0.63 (define @t216 () (and @t214 @t185)) % 0.45/0.63 (define @t217 () (and (= tptp.n2 tptp.n1) @t185)) % 0.45/0.63 (define @t218 () (or @t198 @t197 @t196 @t195 @t194 @t193 @t192 @t191 @t190 @t189 @t188 @t217 @t184 @t182 @t180 @t216 @t211 @t210 @t209 @t207 @t206 @t205 @t204 @t203 @t202 @t215 @t201 @t199 @t212)) % 0.45/0.63 (define @t219 () (= @t54 tptp.n4)) % 0.45/0.63 (define @t220 () (not @t219)) % 0.45/0.63 (define @t221 () (= @t54 tptp.n2)) % 0.45/0.63 (define @t222 () (not @t221)) % 0.45/0.63 (define @t223 () (= @t54 tptp.n5)) % 0.45/0.63 (define @t224 () (and @t185 @t223)) % 0.45/0.63 (define @t225 () (and @t219 @t185)) % 0.45/0.63 (define @t226 () (and @t200 @t223)) % 0.45/0.63 (define @t227 () (and @t200 @t219)) % 0.45/0.63 (define @t228 () (= @t54 tptp.n3)) % 0.45/0.63 (define @t229 () (and @t228 @t185)) % 0.45/0.63 (define @t230 () (and @t228 @t200)) % 0.45/0.63 (define @t231 () (and @t208 @t223)) % 0.45/0.63 (define @t232 () (and @t208 @t219)) % 0.45/0.63 (define @t233 () (and @t208 @t228)) % 0.45/0.63 (define @t234 () (and @t221 @t185)) % 0.45/0.63 (define @t235 () (and @t179 @t223)) % 0.45/0.63 (define @t236 () (and @t179 @t219)) % 0.45/0.63 (define @t237 () (and @t179 @t228)) % 0.45/0.63 (define @t238 () (and (= @t54 tptp.n1) @t185)) % 0.45/0.63 (define @t239 () (and @t187 @t223)) % 0.45/0.63 (define @t240 () (and @t187 @t219)) % 0.45/0.63 (define @t241 () (and @t187 @t228)) % 0.45/0.63 (define @t242 () (and @t118 @t185)) % 0.45/0.63 (define @t243 () (and @t121 @t223)) % 0.45/0.63 (define @t244 () (and @t121 @t219)) % 0.45/0.63 (define @t245 () (and @t121 @t228)) % 0.45/0.63 (define @t246 () (not @t130)) % 0.45/0.63 (define @t247 () (not @t132)) % 0.45/0.63 (define @t248 () (or @t222 @t198 @t197 @t247 @t246 @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t234 @t233 @t232 @t231 @t230 @t229 @t227 @t226 @t225 @t224 @t222 @t201 @t220 @t212)) % 0.45/0.63 (define @t249 () (@list @t54)) % 0.45/0.63 (define @t250 () (or @t198 @t197 @t247 @t246 @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t234 @t233 @t232 @t231 @t230 @t229 @t227 @t226 @t225 @t224 @t222 @t201 @t220 @t212)) % 0.45/0.63 (define @t251 () (forall @t249 @t250)) % 0.45/0.63 (define @t252 () (forall @t177 @t251)) % 0.45/0.63 (define @t253 () (forall @t136 @t250)) % 0.45/0.63 (define @t254 () (or @t176 @t253)) % 0.45/0.63 (define @t255 () (or @t176 @t250)) % 0.45/0.63 (define @t256 () (or @t198 @t247 @t197 @t246 @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t234 @t233 @t232 @t231 @t230 @t229 @t227 @t226 @t225 @t224 @t222 @t201 @t220 @t212 @t176)) % 0.45/0.63 (define @t257 () (or @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t234 @t233 @t232 @t231 @t230 @t229 @t227 @t226 @t225 @t224 @t222 @t201 @t220 @t212 @t176)) % 0.45/0.63 (define @t258 () (or @t198 @t247 @t197 @t246)) % 0.45/0.63 (define @t259 () (not @t224)) % 0.45/0.63 (define @t260 () (not @t259)) % 0.45/0.63 (define @t261 () (not @t225)) % 0.45/0.63 (define @t262 () (not @t261)) % 0.45/0.63 (define @t263 () (not @t226)) % 0.45/0.63 (define @t264 () (not @t263)) % 0.45/0.63 (define @t265 () (not @t227)) % 0.45/0.63 (define @t266 () (not @t265)) % 0.45/0.63 (define @t267 () (not @t229)) % 0.45/0.63 (define @t268 () (not @t267)) % 0.45/0.63 (define @t269 () (not @t230)) % 0.45/0.63 (define @t270 () (not @t269)) % 0.45/0.63 (define @t271 () (not @t231)) % 0.45/0.63 (define @t272 () (not @t271)) % 0.45/0.63 (define @t273 () (not @t232)) % 0.45/0.63 (define @t274 () (not @t273)) % 0.45/0.63 (define @t275 () (not @t233)) % 0.45/0.63 (define @t276 () (not @t275)) % 0.45/0.63 (define @t277 () (not @t234)) % 0.45/0.63 (define @t278 () (not @t277)) % 0.45/0.63 (define @t279 () (not @t235)) % 0.45/0.63 (define @t280 () (not @t279)) % 0.45/0.63 (define @t281 () (not @t236)) % 0.45/0.63 (define @t282 () (not @t281)) % 0.45/0.63 (define @t283 () (not @t237)) % 0.45/0.63 (define @t284 () (not @t283)) % 0.45/0.63 (define @t285 () (not @t238)) % 0.45/0.63 (define @t286 () (not @t285)) % 0.45/0.63 (define @t287 () (not @t239)) % 0.45/0.63 (define @t288 () (not @t287)) % 0.45/0.63 (define @t289 () (not @t240)) % 0.45/0.63 (define @t290 () (not @t289)) % 0.45/0.63 (define @t291 () (not @t241)) % 0.45/0.63 (define @t292 () (not @t291)) % 0.45/0.63 (define @t293 () (not @t242)) % 0.45/0.63 (define @t294 () (not @t293)) % 0.45/0.63 (define @t295 () (not @t243)) % 0.45/0.63 (define @t296 () (not @t295)) % 0.45/0.63 (define @t297 () (not @t244)) % 0.45/0.63 (define @t298 () (not @t297)) % 0.45/0.63 (define @t299 () (not @t245)) % 0.45/0.63 (define @t300 () (not @t299)) % 0.45/0.63 (define @t301 () (or @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t272 @t270 @t268 @t266 @t264 @t262 @t260 @t222 @t201 @t220 @t212)) % 0.45/0.63 (define @t302 () (and @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185)) % 0.45/0.63 (define @t303 () (=> @t302 @t176)) % 0.45/0.63 (define @t304 () (or @t169 @t168 @t167 @t166)) % 0.45/0.63 (define @t305 () (or @t174 @t173 @t172 @t171)) % 0.45/0.63 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.45/0.63 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.45/0.63 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.45/0.63 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.45/0.63 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.45/0.63 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.45/0.63 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.45/0.63 (assume @p8 (forall @t6 (=> @t4 @t10))) % 0.45/0.63 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.45/0.63 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.45/0.63 (assume @p11 (forall @t9 (tptp.gt @t11 @t2))) % 0.45/0.63 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t12)))) % 0.45/0.63 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t12 @t2)))) % 0.45/0.63 (assume @p14 (forall @t16 (=> @t15 (tptp.leq @t14 @t2)))) % 0.45/0.63 (assume @p15 (forall @t16 (=> @t15 (tptp.leq tptp.n0 @t14)))) % 0.45/0.63 (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)))) % 0.45/0.63 (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)))) % 0.45/0.63 (assume @p18 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t28 @t18 @t22) (tptp.a_select3 @t28 @t22 @t18))))))) % 0.45/0.63 (assume @p19 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t38 @t18 @t22) (tptp.a_select3 @t38 @t22 @t18))))))) % 0.45/0.63 (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))))))) % 0.45/0.63 (assume @p21 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t43 @t18 @t22) (tptp.a_select3 @t43 @t22 @t18))))))) % 0.45/0.63 (assume @p22 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t48 @t18 @t22) (tptp.a_select3 @t48 @t22 @t18))))))) % 0.45/0.63 (assume @p23 (forall @t47 (=> @t45 @t50))) % 0.45/0.63 (assume @p24 (forall (@list @t27 @t42 @t29 @t51) (=> (forall @t35 (=> @t52 @t44)) @t50))) % 0.45/0.63 (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))))))) % 0.45/0.63 (assume @p26 (forall @t59 (= @t58 tptp.n0))) % 0.45/0.63 (assume @p27 (forall @t59 (= tptp.tptp_float_0_0 @t58))) % 0.45/0.63 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.45/0.63 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t11))) % 0.45/0.63 (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t11))) % 0.45/0.63 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t60))) % 0.45/0.63 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t60))) % 0.45/0.63 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t61))) % 0.45/0.63 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t61))) % 0.45/0.63 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t62))) % 0.45/0.63 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t62))) % 0.45/0.63 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t63))) % 0.45/0.63 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t63))) % 0.45/0.63 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t64))) % 0.45/0.63 (assume @p40 (forall @t9 (= (tptp.pred @t11) @t2))) % 0.45/0.63 (assume @p41 (forall @t9 (= (tptp.succ @t64) @t2))) % 0.45/0.63 (assume @p42 (forall @t6 (= (tptp.leq @t11 @t12) @t10))) % 0.45/0.63 (assume @p43 (forall @t6 (=> (tptp.leq @t11 @t1) @t4))) % 0.45/0.63 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.45/0.63 (assume @p45 (forall (@list @t2 @t19 @t65 @t39) (= (tptp.a_select3 @t66 @t19 @t65) @t39))) % 0.45/0.63 (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)))) % 0.45/0.63 (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)))) % 0.45/0.63 (assume @p48 (forall (@list @t2 @t19 @t39) (= (tptp.a_select2 @t73 @t19) @t39))) % 0.45/0.63 (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)))) % 0.45/0.63 (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)))) % 0.45/0.63 (assume @p51 tptp.true) % 0.45/0.63 (assume @p52 (not (= tptp.def tptp.use))) % 0.45/0.63 (assume @p53 @t156) % 0.45/0.63 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.45/0.63 (assume @p55 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.45/0.63 (assume @p56 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.45/0.63 (assume @p57 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.45/0.63 (assume @p58 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.45/0.63 (assume @p59 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.45/0.63 (assume @p60 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.45/0.63 (assume @p61 (tptp.gt tptp.n4 tptp.n0)) % 0.45/0.63 (assume @p62 (tptp.gt tptp.n5 tptp.n0)) % 0.45/0.63 (assume @p63 (tptp.gt tptp.n1 tptp.n0)) % 0.45/0.63 (assume @p64 (tptp.gt tptp.n2 tptp.n0)) % 0.45/0.63 (assume @p65 (tptp.gt tptp.n3 tptp.n0)) % 0.45/0.63 (assume @p66 (tptp.gt tptp.n4 tptp.n1)) % 0.45/0.63 (assume @p67 (tptp.gt tptp.n5 tptp.n1)) % 0.45/0.63 (assume @p68 (tptp.gt tptp.n2 tptp.n1)) % 0.45/0.63 (assume @p69 (tptp.gt tptp.n3 tptp.n1)) % 0.45/0.63 (assume @p70 (tptp.gt tptp.n4 tptp.n2)) % 0.45/0.63 (assume @p71 (tptp.gt tptp.n5 tptp.n2)) % 0.45/0.63 (assume @p72 (tptp.gt tptp.n3 tptp.n2)) % 0.45/0.63 (assume @p73 (tptp.gt tptp.n4 tptp.n3)) % 0.45/0.63 (assume @p74 (tptp.gt tptp.n5 tptp.n3)) % 0.45/0.63 (assume @p75 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n4)) (or @t161 @t160 @t159 @t158 @t157)))) % 0.45/0.63 (assume @p76 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n5)) (or @t161 @t160 @t159 @t158 @t157 (= @t2 tptp.n5))))) % 0.45/0.63 (assume @p77 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n0)) @t161))) % 0.45/0.63 (assume @p78 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n1)) (or @t161 @t160)))) % 0.45/0.63 (assume @p79 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n2)) (or @t161 @t160 @t159)))) % 0.45/0.63 (assume @p80 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n3)) (or @t161 @t160 @t159 @t158)))) % 0.45/0.63 (assume @p81 (= @t165 tptp.n4)) % 0.45/0.63 (assume @p82 (= (tptp.succ @t165) tptp.n5)) % 0.45/0.63 (assume @p83 (= @t162 tptp.n1)) % 0.45/0.63 (assume @p84 (= @t163 tptp.n2)) % 0.45/0.63 (assume @p85 (= @t164 tptp.n3)) % 0.45/0.63 (assume @p86 true) % 0.45/0.63 (step @p87 :rule evaluate :args ((not true))) % 0.45/0.63 (step @p88 :rule bool-impl-true1 :args ((and (forall @t152 @t175) (forall @t144 @t170)))) % 0.45/0.63 (step @p89 :rule absorb :args ((= (or @t176 true) true))) % 0.45/0.63 (step @p90 :rule quant-unused-vars :args ((= (forall @t177 true) true))) % 0.45/0.63 (step @p91 :rule bool-or-taut :args ((or @t198 @t197 @t196 @t195 @t194 @t193 @t192 @t191 @t190 @t189 @t188 @t186 @t184 @t182 @t180) @t185 (or @t211 @t210 @t209 @t207 @t206 @t205 @t204 @t203 @t202 @t201 @t199) false)) % 0.45/0.63 (step @p92 :rule cong :premises (@p91) :args ((forall @t177 @t213))) % 0.45/0.63 (step @p93 :rule trans :premises (@p92 @p90)) % 0.45/0.63 (step @p94 :rule aci_norm :args ((= (or @t198 @t197 @t196 @t195 @t194 @t193 @t192 @t191 @t190 @t189 @t188 @t186 @t184 @t182 @t180 @t185 @t211 @t210 @t209 @t207 @t206 @t205 @t204 @t203 @t202 false @t201 @t199 @t212) @t213))) % 0.45/0.63 (step @p95 :rule refl :args (@t212)) % 0.45/0.63 (step @p96 :rule refl :args (@t199)) % 0.45/0.63 (step @p97 :rule refl :args (@t201)) % 0.45/0.63 (step @p98 :rule eq-refl :args (tptp.n2)) % 0.45/0.63 (step @p99 :rule cong :premises (@p98) :args (@t215)) % 0.45/0.63 (step @p100 :rule trans :premises (@p99 @p87)) % 0.45/0.63 (step @p101 :rule refl :args (@t202)) % 0.45/0.63 (step @p102 :rule refl :args (@t203)) % 0.45/0.63 (step @p103 :rule refl :args (@t204)) % 0.45/0.63 (step @p104 :rule refl :args (@t205)) % 0.45/0.63 (step @p105 :rule refl :args (@t206)) % 0.45/0.63 (step @p106 :rule refl :args (@t207)) % 0.45/0.63 (step @p107 :rule refl :args (@t209)) % 0.45/0.63 (step @p108 :rule refl :args (@t210)) % 0.45/0.63 (step @p109 :rule refl :args (@t211)) % 0.45/0.63 (step @p110 :rule aci_norm :args ((= (and true @t185) @t185))) % 0.45/0.63 (step @p111 :rule refl :args (@t185)) % 0.45/0.63 (step @p112 :rule nary_cong :premises (@p98 @p111) :args (@t216)) % 0.45/0.63 (step @p113 :rule trans :premises (@p112 @p110)) % 0.45/0.63 (step @p114 :rule refl :args (@t180)) % 0.45/0.63 (step @p115 :rule refl :args (@t182)) % 0.45/0.63 (step @p116 :rule refl :args (@t184)) % 0.45/0.63 (step @p117 :rule eq-symm :args (tptp.n2 tptp.n1)) % 0.45/0.63 (step @p118 :rule nary_cong :premises (@p117 @p111) :args (@t217)) % 0.45/0.63 (step @p119 :rule refl :args (@t188)) % 0.45/0.63 (step @p120 :rule refl :args (@t189)) % 0.45/0.63 (step @p121 :rule refl :args (@t190)) % 0.45/0.63 (step @p122 :rule refl :args (@t191)) % 0.45/0.63 (step @p123 :rule refl :args (@t192)) % 0.45/0.63 (step @p124 :rule refl :args (@t193)) % 0.45/0.63 (step @p125 :rule refl :args (@t194)) % 0.45/0.63 (step @p126 :rule refl :args (@t195)) % 0.45/0.63 (step @p127 :rule refl :args (@t196)) % 0.45/0.63 (step @p128 :rule refl :args (@t197)) % 0.45/0.63 (step @p129 :rule refl :args (@t198)) % 0.45/0.63 (step @p130 :rule nary_cong :premises (@p129 @p128 @p127 @p126 @p125 @p124 @p123 @p122 @p121 @p120 @p119 @p118 @p116 @p115 @p114 @p113 @p109 @p108 @p107 @p106 @p105 @p104 @p103 @p102 @p101 @p100 @p97 @p96 @p95) :args (@t218)) % 0.45/0.63 (step @p131 :rule trans :premises (@p130 @p94)) % 0.45/0.63 (step @p132 :rule cong :premises (@p131) :args ((forall @t177 @t218))) % 0.45/0.63 (step @p133 :rule trans :premises (@p132 @p93)) % 0.45/0.63 (step @p134 :rule quant-var-elim-eq :args ((= (forall @t249 @t248) @t218))) % 0.45/0.63 (step @p135 :rule aci_norm :args ((= @t250 @t248))) % 0.45/0.63 (step @p136 :rule cong :premises (@p135) :args (@t251)) % 0.45/0.63 (step @p137 :rule trans :premises (@p136 @p134)) % 0.45/0.63 (step @p138 :rule cong :premises (@p137) :args (@t252)) % 0.45/0.63 (step @p139 :rule quant-merge-prenex :args ((= @t252 @t253))) % 0.45/0.63 (step @p140 :rule symm :premises (@p139)) % 0.45/0.63 (step @p141 :rule trans :premises (@p140 @p138)) % 0.45/0.63 (step @p142 :rule trans :premises (@p141 @p133)) % 0.45/0.63 (step @p143 :rule refl :args (@t176)) % 0.45/0.63 (step @p144 :rule nary_cong :premises (@p143 @p142) :args (@t254)) % 0.45/0.63 (step @p145 :rule trans :premises (@p144 @p89)) % 0.45/0.63 (step @p146 :rule quant-miniscope-or :args ((= (forall @t136 @t255) @t254))) % 0.45/0.63 (step @p147 :rule aci_norm :args ((= @t256 @t255))) % 0.45/0.63 (step @p148 :rule cong :premises (@p147) :args ((forall @t136 @t256))) % 0.45/0.63 (step @p149 :rule trans :premises (@p148 @p146)) % 0.45/0.63 (step @p150 :rule trans :premises (@p149 @p145)) % 0.45/0.63 (step @p151 :rule aci_norm :args ((= (or @t258 @t257) @t256))) % 0.45/0.63 (step @p152 :rule aci_norm :args ((= (or (or @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t234 @t233 @t232 @t231 @t230 @t229 @t227 @t226 @t225 @t224 @t222 @t201 @t220 @t212) @t176) @t257))) % 0.45/0.63 (step @p153 :rule refl :args (@t176)) % 0.45/0.63 (step @p154 :rule refl :args (@t212)) % 0.45/0.63 (step @p155 :rule refl :args (@t220)) % 0.45/0.63 (step @p156 :rule refl :args (@t201)) % 0.45/0.63 (step @p157 :rule refl :args (@t222)) % 0.45/0.63 (step @p158 :rule bool-double-not-elim :args (@t224)) % 0.45/0.63 (step @p159 :rule bool-double-not-elim :args (@t225)) % 0.45/0.63 (step @p160 :rule bool-double-not-elim :args (@t226)) % 0.45/0.63 (step @p161 :rule bool-double-not-elim :args (@t227)) % 0.45/0.63 (step @p162 :rule bool-double-not-elim :args (@t229)) % 0.45/0.63 (step @p163 :rule bool-double-not-elim :args (@t230)) % 0.45/0.63 (step @p164 :rule bool-double-not-elim :args (@t231)) % 0.45/0.63 (step @p165 :rule bool-double-not-elim :args (@t232)) % 0.45/0.63 (step @p166 :rule bool-double-not-elim :args (@t233)) % 0.45/0.63 (step @p167 :rule bool-double-not-elim :args (@t234)) % 0.45/0.63 (step @p168 :rule bool-double-not-elim :args (@t235)) % 0.45/0.63 (step @p169 :rule bool-double-not-elim :args (@t236)) % 0.45/0.63 (step @p170 :rule bool-double-not-elim :args (@t237)) % 0.45/0.63 (step @p171 :rule bool-double-not-elim :args (@t238)) % 0.45/0.63 (step @p172 :rule bool-double-not-elim :args (@t239)) % 0.45/0.63 (step @p173 :rule bool-double-not-elim :args (@t240)) % 0.45/0.63 (step @p174 :rule bool-double-not-elim :args (@t241)) % 0.45/0.63 (step @p175 :rule bool-double-not-elim :args (@t242)) % 0.45/0.63 (step @p176 :rule bool-double-not-elim :args (@t243)) % 0.45/0.63 (step @p177 :rule bool-double-not-elim :args (@t244)) % 0.45/0.63 (step @p178 :rule bool-double-not-elim :args (@t245)) % 0.45/0.63 (step @p179 :rule nary_cong :premises (@p178 @p177 @p176 @p175 @p174 @p173 @p172 @p171 @p170 @p169 @p168 @p167 @p166 @p165 @p164 @p163 @p162 @p161 @p160 @p159 @p158 @p157 @p156 @p155 @p154) :args (@t301)) % 0.45/0.63 (step @p180 :rule aci_norm :args ((= (or @t300 (or @t298 (or @t296 (or @t294 (or @t292 (or @t290 (or @t288 (or @t286 (or @t284 (or @t282 (or @t280 (or @t278 (or @t276 (or @t274 (or @t272 (or @t270 (or @t268 (or @t266 (or @t264 (or @t262 (or @t260 (or @t222 (or @t201 (or @t220 @t212)))))))))))))))))))))))) @t301))) % 0.45/0.63 (step @p181 :rule trans :premises (@p180 @p179)) % 0.45/0.63 (step @p182 :rule bool-and-de-morgan :args (@t219 @t185 true)) % 0.45/0.63 (step @p183 :rule nary_cong :premises (@p156 @p182) :args ((or @t201 @t261))) % 0.45/0.63 (step @p184 :rule bool-and-de-morgan :args (@t200 @t219 (and @t185))) % 0.45/0.63 (step @p185 :rule trans :premises (@p184 @p183)) % 0.45/0.63 (step @p186 :rule nary_cong :premises (@p157 @p185) :args ((or @t222 (not (and @t200 @t219 @t185))))) % 0.45/0.63 (step @p187 :rule bool-and-de-morgan :args (@t221 @t200 (and @t219 @t185))) % 0.45/0.63 (step @p188 :rule trans :premises (@p187 @p186)) % 0.45/0.63 (step @p189 :rule refl :args (@t260)) % 0.45/0.63 (step @p190 :rule nary_cong :premises (@p189 @p188) :args ((or @t260 (not (and @t221 @t200 @t219 @t185))))) % 0.45/0.63 (step @p191 :rule bool-and-de-morgan :args (@t259 @t221 (and @t200 @t219 @t185))) % 0.45/0.63 (step @p192 :rule trans :premises (@p191 @p190)) % 0.45/0.63 (step @p193 :rule refl :args (@t262)) % 0.45/0.63 (step @p194 :rule nary_cong :premises (@p193 @p192) :args ((or @t262 (not (and @t259 @t221 @t200 @t219 @t185))))) % 0.45/0.63 (step @p195 :rule bool-and-de-morgan :args (@t261 @t259 (and @t221 @t200 @t219 @t185))) % 0.45/0.63 (step @p196 :rule trans :premises (@p195 @p194)) % 0.45/0.63 (step @p197 :rule refl :args (@t264)) % 0.45/0.63 (step @p198 :rule nary_cong :premises (@p197 @p196) :args ((or @t264 (not (and @t261 @t259 @t221 @t200 @t219 @t185))))) % 0.45/0.63 (step @p199 :rule bool-and-de-morgan :args (@t263 @t261 (and @t259 @t221 @t200 @t219 @t185))) % 0.45/0.63 (step @p200 :rule trans :premises (@p199 @p198)) % 0.45/0.63 (step @p201 :rule refl :args (@t266)) % 0.45/0.63 (step @p202 :rule nary_cong :premises (@p201 @p200) :args ((or @t266 (not (and @t263 @t261 @t259 @t221 @t200 @t219 @t185))))) % 0.45/0.63 (step @p203 :rule bool-and-de-morgan :args (@t265 @t263 (and @t261 @t259 @t221 @t200 @t219 @t185))) % 0.45/0.63 (step @p204 :rule trans :premises (@p203 @p202)) % 0.45/0.63 (step @p205 :rule refl :args (@t268)) % 0.45/0.63 (step @p206 :rule nary_cong :premises (@p205 @p204) :args ((or @t268 (not (and @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))))) % 0.45/0.63 (step @p207 :rule bool-and-de-morgan :args (@t267 @t265 (and @t263 @t261 @t259 @t221 @t200 @t219 @t185))) % 0.45/0.63 (step @p208 :rule trans :premises (@p207 @p206)) % 0.45/0.63 (step @p209 :rule refl :args (@t270)) % 0.45/0.63 (step @p210 :rule nary_cong :premises (@p209 @p208) :args ((or @t270 (not (and @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))))) % 0.45/0.63 (step @p211 :rule bool-and-de-morgan :args (@t269 @t267 (and @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))) % 0.45/0.63 (step @p212 :rule trans :premises (@p211 @p210)) % 0.45/0.63 (step @p213 :rule refl :args (@t272)) % 0.45/0.63 (step @p214 :rule nary_cong :premises (@p213 @p212) :args ((or @t272 (not (and @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))))) % 0.45/0.63 (step @p215 :rule bool-and-de-morgan :args (@t271 @t269 (and @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))) % 0.45/0.63 (step @p216 :rule trans :premises (@p215 @p214)) % 0.45/0.63 (step @p217 :rule refl :args (@t274)) % 0.45/0.63 (step @p218 :rule nary_cong :premises (@p217 @p216) :args ((or @t274 (not (and @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))))) % 0.45/0.63 (step @p219 :rule bool-and-de-morgan :args (@t273 @t271 (and @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))) % 0.45/0.63 (step @p220 :rule trans :premises (@p219 @p218)) % 0.45/0.63 (step @p221 :rule refl :args (@t276)) % 0.45/0.63 (step @p222 :rule nary_cong :premises (@p221 @p220) :args ((or @t276 (not (and @t273 @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))))) % 0.45/0.63 (step @p223 :rule bool-and-de-morgan :args (@t275 @t273 (and @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))) % 0.45/0.63 (step @p224 :rule trans :premises (@p223 @p222)) % 0.45/0.63 (step @p225 :rule refl :args (@t278)) % 0.45/0.63 (step @p226 :rule nary_cong :premises (@p225 @p224) :args ((or @t278 (not (and @t275 @t273 @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))))) % 0.45/0.63 (step @p227 :rule bool-and-de-morgan :args (@t277 @t275 (and @t273 @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))) % 0.45/0.63 (step @p228 :rule trans :premises (@p227 @p226)) % 0.45/0.63 (step @p229 :rule refl :args (@t280)) % 0.45/0.63 (step @p230 :rule nary_cong :premises (@p229 @p228) :args ((or @t280 (not (and @t277 @t275 @t273 @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))))) % 0.45/0.63 (step @p231 :rule bool-and-de-morgan :args (@t279 @t277 (and @t275 @t273 @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))) % 0.45/0.63 (step @p232 :rule trans :premises (@p231 @p230)) % 0.45/0.63 (step @p233 :rule refl :args (@t282)) % 0.45/0.63 (step @p234 :rule nary_cong :premises (@p233 @p232) :args ((or @t282 (not (and @t279 @t277 @t275 @t273 @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))))) % 0.45/0.63 (step @p235 :rule bool-and-de-morgan :args (@t281 @t279 (and @t277 @t275 @t273 @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))) % 0.45/0.63 (step @p236 :rule trans :premises (@p235 @p234)) % 0.45/0.63 (step @p237 :rule refl :args (@t284)) % 0.45/0.63 (step @p238 :rule nary_cong :premises (@p237 @p236) :args ((or @t284 (not (and @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))))) % 0.45/0.63 (step @p239 :rule bool-and-de-morgan :args (@t283 @t281 (and @t279 @t277 @t275 @t273 @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))) % 0.45/0.63 (step @p240 :rule trans :premises (@p239 @p238)) % 0.45/0.63 (step @p241 :rule refl :args (@t286)) % 0.45/0.63 (step @p242 :rule nary_cong :premises (@p241 @p240) :args ((or @t286 (not (and @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))))) % 0.45/0.63 (step @p243 :rule bool-and-de-morgan :args (@t285 @t283 (and @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))) % 0.45/0.63 (step @p244 :rule trans :premises (@p243 @p242)) % 0.45/0.63 (step @p245 :rule refl :args (@t288)) % 0.45/0.63 (step @p246 :rule nary_cong :premises (@p245 @p244) :args ((or @t288 (not (and @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))))) % 0.45/0.63 (step @p247 :rule bool-and-de-morgan :args (@t287 @t285 (and @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))) % 0.45/0.63 (step @p248 :rule trans :premises (@p247 @p246)) % 0.45/0.63 (step @p249 :rule refl :args (@t290)) % 0.45/0.63 (step @p250 :rule nary_cong :premises (@p249 @p248) :args ((or @t290 (not (and @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))))) % 0.45/0.63 (step @p251 :rule bool-and-de-morgan :args (@t289 @t287 (and @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))) % 0.45/0.63 (step @p252 :rule trans :premises (@p251 @p250)) % 0.45/0.63 (step @p253 :rule refl :args (@t292)) % 0.45/0.63 (step @p254 :rule nary_cong :premises (@p253 @p252) :args ((or @t292 (not (and @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))))) % 0.45/0.63 (step @p255 :rule bool-and-de-morgan :args (@t291 @t289 (and @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))) % 0.45/0.63 (step @p256 :rule trans :premises (@p255 @p254)) % 0.45/0.63 (step @p257 :rule refl :args (@t294)) % 0.45/0.63 (step @p258 :rule nary_cong :premises (@p257 @p256) :args ((or @t294 (not (and @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))))) % 0.45/0.63 (step @p259 :rule bool-and-de-morgan :args (@t293 @t291 (and @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))) % 0.45/0.63 (step @p260 :rule trans :premises (@p259 @p258)) % 0.45/0.63 (step @p261 :rule refl :args (@t296)) % 0.45/0.63 (step @p262 :rule nary_cong :premises (@p261 @p260) :args ((or @t296 (not (and @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))))) % 0.45/0.63 (step @p263 :rule bool-and-de-morgan :args (@t295 @t293 (and @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))) % 0.45/0.63 (step @p264 :rule trans :premises (@p263 @p262)) % 0.45/0.63 (step @p265 :rule refl :args (@t298)) % 0.45/0.63 (step @p266 :rule nary_cong :premises (@p265 @p264) :args ((or @t298 (not (and @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))))) % 0.45/0.63 (step @p267 :rule bool-and-de-morgan :args (@t297 @t295 (and @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))) % 0.45/0.63 (step @p268 :rule trans :premises (@p267 @p266)) % 0.45/0.63 (step @p269 :rule refl :args (@t300)) % 0.45/0.63 (step @p270 :rule nary_cong :premises (@p269 @p268) :args ((or @t300 (not (and @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))))) % 0.45/0.63 (step @p271 :rule bool-and-de-morgan :args (@t299 @t297 (and @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t221 @t200 @t219 @t185))) % 0.45/0.63 (step @p272 :rule trans :premises (@p271 @p270)) % 0.45/0.63 (step @p273 :rule trans :premises (@p272 @p181)) % 0.45/0.63 (step @p274 :rule nary_cong :premises (@p273 @p153) :args ((or (not @t302) @t176))) % 0.45/0.63 (step @p275 :rule trans :premises (@p274 @p152)) % 0.45/0.63 (step @p276 :rule bool-impl-elim :args (@t302 @t176)) % 0.45/0.63 (step @p277 :rule trans :premises (@p276 @p275)) % 0.45/0.63 (step @p278 :rule aci_norm :args ((= (or @t198 (or @t247 (or @t197 @t246))) @t258))) % 0.45/0.63 (step @p279 :rule bool-and-de-morgan :args (@t131 @t130 true)) % 0.45/0.63 (step @p280 :rule refl :args (@t247)) % 0.45/0.63 (step @p281 :rule nary_cong :premises (@p280 @p279) :args ((or @t247 (not (and @t131 @t130))))) % 0.45/0.63 (step @p282 :rule bool-and-de-morgan :args (@t132 @t131 (and @t130))) % 0.45/0.63 (step @p283 :rule trans :premises (@p282 @p281)) % 0.45/0.63 (step @p284 :rule refl :args (@t198)) % 0.45/0.63 (step @p285 :rule nary_cong :premises (@p284 @p283) :args ((or @t198 (not (and @t132 @t131 @t130))))) % 0.45/0.63 (step @p286 :rule bool-and-de-morgan :args (@t133 @t132 (and @t131 @t130))) % 0.45/0.63 (step @p287 :rule trans :premises (@p286 @p285)) % 0.45/0.63 (step @p288 :rule trans :premises (@p287 @p278)) % 0.45/0.63 (step @p289 :rule nary_cong :premises (@p288 @p277) :args ((or (not @t134) @t303))) % 0.45/0.63 (step @p290 :rule trans :premises (@p289 @p151)) % 0.45/0.63 (step @p291 :rule bool-impl-elim :args (@t134 @t303)) % 0.45/0.63 (step @p292 :rule trans :premises (@p291 @p290)) % 0.45/0.63 (step @p293 :rule cong :premises (@p292) :args ((forall @t136 (=> @t134 @t303)))) % 0.45/0.63 (step @p294 :rule trans :premises (@p293 @p150)) % 0.45/0.63 (step @p295 :rule eq-symm :args (@t74 tptp.n0)) % 0.45/0.63 (step @p296 :rule eq-symm :args (tptp.n5 @t53)) % 0.45/0.63 (step @p297 :rule eq-symm :args (tptp.n4 @t54)) % 0.45/0.63 (step @p298 :rule eq-symm :args (tptp.n4 @t53)) % 0.45/0.63 (step @p299 :rule eq-symm :args (tptp.n2 @t54)) % 0.45/0.63 (step @p300 :rule eq-symm :args (tptp.n5 @t54)) % 0.45/0.63 (step @p301 :rule nary_cong :premises (@p296 @p300) :args (@t80)) % 0.45/0.63 (step @p302 :rule cong :premises (@p301) :args (@t81)) % 0.45/0.63 (step @p303 :rule nary_cong :premises (@p297 @p296) :args (@t82)) % 0.45/0.63 (step @p304 :rule cong :premises (@p303) :args (@t83)) % 0.45/0.63 (step @p305 :rule nary_cong :premises (@p298 @p300) :args (@t84)) % 0.45/0.63 (step @p306 :rule cong :premises (@p305) :args (@t85)) % 0.45/0.63 (step @p307 :rule nary_cong :premises (@p298 @p297) :args (@t86)) % 0.45/0.63 (step @p308 :rule cong :premises (@p307) :args (@t87)) % 0.45/0.63 (step @p309 :rule eq-symm :args (tptp.n3 @t54)) % 0.45/0.63 (step @p310 :rule nary_cong :premises (@p309 @p296) :args (@t89)) % 0.45/0.63 (step @p311 :rule cong :premises (@p310) :args (@t90)) % 0.45/0.63 (step @p312 :rule nary_cong :premises (@p309 @p298) :args (@t91)) % 0.45/0.63 (step @p313 :rule cong :premises (@p312) :args (@t92)) % 0.45/0.63 (step @p314 :rule eq-symm :args (tptp.n3 @t53)) % 0.45/0.63 (step @p315 :rule nary_cong :premises (@p314 @p300) :args (@t94)) % 0.45/0.63 (step @p316 :rule cong :premises (@p315) :args (@t95)) % 0.45/0.63 (step @p317 :rule nary_cong :premises (@p314 @p297) :args (@t96)) % 0.45/0.63 (step @p318 :rule cong :premises (@p317) :args (@t97)) % 0.45/0.63 (step @p319 :rule nary_cong :premises (@p314 @p309) :args (@t98)) % 0.45/0.63 (step @p320 :rule cong :premises (@p319) :args (@t99)) % 0.45/0.63 (step @p321 :rule nary_cong :premises (@p299 @p296) :args (@t100)) % 0.45/0.63 (step @p322 :rule cong :premises (@p321) :args (@t101)) % 0.45/0.63 (step @p323 :rule eq-symm :args (tptp.n2 @t53)) % 0.45/0.63 (step @p324 :rule nary_cong :premises (@p323 @p300) :args (@t103)) % 0.45/0.63 (step @p325 :rule cong :premises (@p324) :args (@t104)) % 0.45/0.63 (step @p326 :rule nary_cong :premises (@p323 @p297) :args (@t105)) % 0.45/0.63 (step @p327 :rule cong :premises (@p326) :args (@t106)) % 0.45/0.63 (step @p328 :rule nary_cong :premises (@p323 @p309) :args (@t107)) % 0.45/0.63 (step @p329 :rule cong :premises (@p328) :args (@t108)) % 0.45/0.63 (step @p330 :rule eq-symm :args (tptp.n1 @t54)) % 0.45/0.63 (step @p331 :rule nary_cong :premises (@p330 @p296) :args (@t109)) % 0.45/0.63 (step @p332 :rule cong :premises (@p331) :args (@t110)) % 0.45/0.63 (step @p333 :rule eq-symm :args (tptp.n1 @t53)) % 0.45/0.63 (step @p334 :rule nary_cong :premises (@p333 @p300) :args (@t112)) % 0.45/0.63 (step @p335 :rule cong :premises (@p334) :args (@t113)) % 0.45/0.63 (step @p336 :rule nary_cong :premises (@p333 @p297) :args (@t114)) % 0.45/0.63 (step @p337 :rule cong :premises (@p336) :args (@t115)) % 0.45/0.63 (step @p338 :rule nary_cong :premises (@p333 @p309) :args (@t116)) % 0.45/0.63 (step @p339 :rule cong :premises (@p338) :args (@t117)) % 0.45/0.63 (step @p340 :rule refl :args (@t118)) % 0.45/0.63 (step @p341 :rule nary_cong :premises (@p340 @p296) :args (@t119)) % 0.45/0.63 (step @p342 :rule cong :premises (@p341) :args (@t120)) % 0.45/0.63 (step @p343 :rule refl :args (@t121)) % 0.45/0.63 (step @p344 :rule nary_cong :premises (@p343 @p300) :args (@t122)) % 0.45/0.63 (step @p345 :rule cong :premises (@p344) :args (@t123)) % 0.45/0.63 (step @p346 :rule nary_cong :premises (@p343 @p297) :args (@t124)) % 0.45/0.63 (step @p347 :rule cong :premises (@p346) :args (@t125)) % 0.45/0.63 (step @p348 :rule nary_cong :premises (@p343 @p309) :args (@t126)) % 0.45/0.63 (step @p349 :rule cong :premises (@p348) :args (@t127)) % 0.45/0.63 (step @p350 :rule nary_cong :premises (@p349 @p347 @p345 @p342 @p339 @p337 @p335 @p332 @p329 @p327 @p325 @p322 @p320 @p318 @p316 @p313 @p311 @p308 @p306 @p304 @p302 @p299 @p298 @p297 @p296) :args (@t128)) % 0.45/0.63 (step @p351 :rule cong :premises (@p350 @p295) :args (@t129)) % 0.45/0.63 (step @p352 :rule refl :args (@t134)) % 0.45/0.63 (step @p353 :rule cong :premises (@p352 @p351) :args (@t135)) % 0.45/0.63 (step @p354 :rule cong :premises (@p353) :args (@t137)) % 0.45/0.63 (step @p355 :rule trans :premises (@p354 @p294)) % 0.45/0.63 (step @p356 :rule aci_norm :args ((= (or @t304 @t138) @t170))) % 0.45/0.63 (step @p357 :rule refl :args (@t138)) % 0.45/0.63 (step @p358 :rule aci_norm :args ((= (or @t169 (or @t168 (or @t167 @t166))) @t304))) % 0.45/0.63 (step @p359 :rule bool-and-de-morgan :args (@t140 @t139 true)) % 0.45/0.63 (step @p360 :rule refl :args (@t168)) % 0.45/0.63 (step @p361 :rule nary_cong :premises (@p360 @p359) :args ((or @t168 (not (and @t140 @t139))))) % 0.45/0.63 (step @p362 :rule bool-and-de-morgan :args (@t141 @t140 (and @t139))) % 0.45/0.63 (step @p363 :rule trans :premises (@p362 @p361)) % 0.45/0.63 (step @p364 :rule refl :args (@t169)) % 0.45/0.63 (step @p365 :rule nary_cong :premises (@p364 @p363) :args ((or @t169 (not (and @t141 @t140 @t139))))) % 0.45/0.63 (step @p366 :rule bool-and-de-morgan :args (@t142 @t141 (and @t140 @t139))) % 0.45/0.63 (step @p367 :rule trans :premises (@p366 @p365)) % 0.45/0.63 (step @p368 :rule trans :premises (@p367 @p358)) % 0.45/0.63 (step @p369 :rule nary_cong :premises (@p368 @p357) :args ((or (not @t143) @t138))) % 0.45/0.63 (step @p370 :rule trans :premises (@p369 @p356)) % 0.45/0.63 (step @p371 :rule bool-impl-elim :args (@t143 @t138)) % 0.45/0.63 (step @p372 :rule trans :premises (@p371 @p370)) % 0.45/0.63 (step @p373 :rule cong :premises (@p372) :args (@t145)) % 0.45/0.63 (step @p374 :rule aci_norm :args ((= (or @t305 @t146) @t175))) % 0.45/0.63 (step @p375 :rule refl :args (@t146)) % 0.45/0.63 (step @p376 :rule aci_norm :args ((= (or @t174 (or @t173 (or @t172 @t171))) @t305))) % 0.45/0.63 (step @p377 :rule bool-and-de-morgan :args (@t148 @t147 true)) % 0.45/0.63 (step @p378 :rule refl :args (@t173)) % 0.45/0.63 (step @p379 :rule nary_cong :premises (@p378 @p377) :args ((or @t173 (not (and @t148 @t147))))) % 0.45/0.63 (step @p380 :rule bool-and-de-morgan :args (@t149 @t148 (and @t147))) % 0.45/0.63 (step @p381 :rule trans :premises (@p380 @p379)) % 0.45/0.63 (step @p382 :rule refl :args (@t174)) % 0.45/0.63 (step @p383 :rule nary_cong :premises (@p382 @p381) :args ((or @t174 (not (and @t149 @t148 @t147))))) % 0.45/0.63 (step @p384 :rule bool-and-de-morgan :args (@t150 @t149 (and @t148 @t147))) % 0.45/0.63 (step @p385 :rule trans :premises (@p384 @p383)) % 0.45/0.63 (step @p386 :rule trans :premises (@p385 @p376)) % 0.45/0.63 (step @p387 :rule nary_cong :premises (@p386 @p375) :args ((or (not @t151) @t146))) % 0.45/0.63 (step @p388 :rule trans :premises (@p387 @p374)) % 0.45/0.63 (step @p389 :rule bool-impl-elim :args (@t151 @t146)) % 0.45/0.63 (step @p390 :rule trans :premises (@p389 @p388)) % 0.45/0.63 (step @p391 :rule cong :premises (@p390) :args (@t153)) % 0.45/0.63 (step @p392 :rule nary_cong :premises (@p391 @p373) :args (@t154)) % 0.45/0.63 (step @p393 :rule cong :premises (@p392 @p355) :args (@t155)) % 0.45/0.63 (step @p394 :rule trans :premises (@p393 @p88)) % 0.45/0.63 (step @p395 :rule cong :premises (@p394) :args (@t156)) % 0.45/0.63 (step @p396 :rule trans :premises (@p395 @p87)) % 0.45/0.63 (step @p397 false :rule eq_resolve :premises (@p53 @p396)) % 0.45/0.63 ) % 0.45/0.63 % SZS output end Proof % 0.45/0.63 % cvc5 exiting %------------------------------------------------------------------------------