%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV231+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 : n016.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 0.37s 0.63s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV231+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n016.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 20:00:09 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.63 % SZS status Theorem % 0.37/0.63 % SZS output start Proof % 0.37/0.63 ( % 0.37/0.63 (declare-sort $$unsorted 0) % 0.37/0.63 (declare-const tptp.q_ds1_filter $$unsorted) % 0.37/0.63 (declare-const tptp.def $$unsorted) % 0.37/0.63 (declare-const tptp.use $$unsorted) % 0.37/0.63 (declare-const tptp.true Bool) % 0.37/0.63 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.xinit_noise $$unsorted) % 0.37/0.63 (declare-const tptp.n3 $$unsorted) % 0.37/0.63 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.37/0.63 (declare-const tptp.n0 $$unsorted) % 0.37/0.63 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.n1 $$unsorted) % 0.37/0.63 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.n5 $$unsorted) % 0.37/0.63 (declare-const tptp.r_ds1_filter $$unsorted) % 0.37/0.63 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.37/0.63 (declare-const tptp.n4 $$unsorted) % 0.37/0.63 (declare-const tptp.n2 $$unsorted) % 0.37/0.63 (define @t1 () (@var "Y" $$unsorted)) % 0.37/0.63 (define @t2 () (@var "X" $$unsorted)) % 0.37/0.63 (define @t3 () (= @t2 @t1)) % 0.37/0.63 (define @t4 () (tptp.gt @t1 @t2)) % 0.37/0.63 (define @t5 () (tptp.gt @t2 @t1)) % 0.37/0.63 (define @t6 () (@list @t2 @t1)) % 0.37/0.63 (define @t7 () (@var "Z" $$unsorted)) % 0.37/0.63 (define @t8 () (@list @t2 @t1 @t7)) % 0.37/0.63 (define @t9 () (@list @t2)) % 0.37/0.63 (define @t10 () (tptp.leq @t2 @t1)) % 0.37/0.63 (define @t11 () (tptp.succ @t2)) % 0.37/0.63 (define @t12 () (tptp.succ @t1)) % 0.37/0.63 (define @t13 () (@var "C" $$unsorted)) % 0.37/0.63 (define @t14 () (tptp.uniform_int_rnd @t13 @t2)) % 0.37/0.63 (define @t15 () (tptp.leq tptp.n0 @t2)) % 0.37/0.63 (define @t16 () (@list @t2 @t13)) % 0.37/0.63 (define @t17 () (@var "Val" $$unsorted)) % 0.37/0.63 (define @t18 () (@var "I" $$unsorted)) % 0.37/0.63 (define @t19 () (@var "U" $$unsorted)) % 0.37/0.63 (define @t20 () (@var "L" $$unsorted)) % 0.37/0.63 (define @t21 () (tptp.leq @t18 @t19)) % 0.37/0.63 (define @t22 () (@var "J" $$unsorted)) % 0.37/0.63 (define @t23 () (@var "U2" $$unsorted)) % 0.37/0.63 (define @t24 () (@var "L2" $$unsorted)) % 0.37/0.63 (define @t25 () (@var "U1" $$unsorted)) % 0.37/0.63 (define @t26 () (@var "L1" $$unsorted)) % 0.37/0.63 (define @t27 () (@var "A" $$unsorted)) % 0.37/0.63 (define @t28 () (tptp.trans @t27)) % 0.37/0.63 (define @t29 () (@var "N" $$unsorted)) % 0.37/0.63 (define @t30 () (tptp.leq @t22 @t29)) % 0.37/0.63 (define @t31 () (tptp.leq tptp.n0 @t22)) % 0.37/0.63 (define @t32 () (tptp.leq @t18 @t29)) % 0.37/0.63 (define @t33 () (tptp.leq tptp.n0 @t18)) % 0.37/0.63 (define @t34 () (and @t33 @t32 @t31 @t30)) % 0.37/0.63 (define @t35 () (@list @t18 @t22)) % 0.37/0.63 (define @t36 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t27 @t18 @t22) (tptp.a_select3 @t27 @t22 @t18))))) % 0.37/0.63 (define @t37 () (@list @t27 @t29)) % 0.37/0.63 (define @t38 () (tptp.inv @t27)) % 0.37/0.63 (define @t39 () (@var "VAL" $$unsorted)) % 0.37/0.63 (define @t40 () (@var "K" $$unsorted)) % 0.37/0.63 (define @t41 () (tptp.tptp_update3 @t27 @t40 @t40 @t39)) % 0.37/0.63 (define @t42 () (@var "B" $$unsorted)) % 0.37/0.63 (define @t43 () (tptp.tptp_madd @t27 @t42)) % 0.37/0.63 (define @t44 () (= (tptp.a_select3 @t42 @t18 @t22) (tptp.a_select3 @t42 @t22 @t18))) % 0.37/0.63 (define @t45 () (forall @t35 (=> @t34 @t44))) % 0.37/0.63 (define @t46 () (and @t36 @t45)) % 0.37/0.63 (define @t47 () (@list @t27 @t42 @t29)) % 0.37/0.63 (define @t48 () (tptp.tptp_msub @t27 @t42)) % 0.37/0.63 (define @t49 () (tptp.tptp_mmul @t27 (tptp.tptp_mmul @t42 @t28))) % 0.37/0.63 (define @t50 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t49 @t18 @t22) (tptp.a_select3 @t49 @t22 @t18))))) % 0.37/0.63 (define @t51 () (@var "M" $$unsorted)) % 0.37/0.63 (define @t52 () (and @t33 (tptp.leq @t18 @t51) @t31 (tptp.leq @t22 @t51))) % 0.37/0.63 (define @t53 () (@var "E" $$unsorted)) % 0.37/0.63 (define @t54 () (@var "F" $$unsorted)) % 0.37/0.63 (define @t55 () (@var "D" $$unsorted)) % 0.37/0.63 (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))))) % 0.37/0.63 (define @t57 () (@var "Body" $$unsorted)) % 0.37/0.63 (define @t58 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t57)) % 0.37/0.63 (define @t59 () (@list @t57)) % 0.37/0.63 (define @t60 () (tptp.succ @t11)) % 0.37/0.63 (define @t61 () (tptp.succ @t60)) % 0.37/0.63 (define @t62 () (tptp.succ @t61)) % 0.37/0.63 (define @t63 () (tptp.succ @t62)) % 0.37/0.63 (define @t64 () (tptp.pred @t2)) % 0.37/0.63 (define @t65 () (@var "V" $$unsorted)) % 0.37/0.63 (define @t66 () (tptp.tptp_update3 @t2 @t19 @t65 @t39)) % 0.37/0.63 (define @t67 () (@var "VAL2" $$unsorted)) % 0.37/0.63 (define @t68 () (not (= @t18 @t19))) % 0.37/0.63 (define @t69 () (@var "J0" $$unsorted)) % 0.37/0.63 (define @t70 () (@var "I0" $$unsorted)) % 0.37/0.63 (define @t71 () (tptp.leq @t70 @t19)) % 0.37/0.63 (define @t72 () (tptp.leq tptp.n0 @t70)) % 0.37/0.63 (define @t73 () (tptp.tptp_update2 @t2 @t19 @t39)) % 0.37/0.63 (define @t74 () (= tptp.n0 (tptp.a_select2 tptp.xinit_noise tptp.n5))) % 0.37/0.63 (define @t75 () (= tptp.n5 @t54)) % 0.37/0.63 (define @t76 () (= tptp.n5 @t53)) % 0.37/0.63 (define @t77 () (= tptp.n4 @t54)) % 0.37/0.63 (define @t78 () (= tptp.n3 @t53)) % 0.37/0.63 (define @t79 () (and @t76 @t75)) % 0.37/0.63 (define @t80 () (not @t79)) % 0.37/0.63 (define @t81 () (and @t77 @t76)) % 0.37/0.63 (define @t82 () (not @t81)) % 0.37/0.63 (define @t83 () (= tptp.n4 @t53)) % 0.37/0.63 (define @t84 () (and @t83 @t75)) % 0.37/0.63 (define @t85 () (not @t84)) % 0.37/0.63 (define @t86 () (and @t83 @t77)) % 0.37/0.63 (define @t87 () (not @t86)) % 0.37/0.63 (define @t88 () (= tptp.n3 @t54)) % 0.37/0.63 (define @t89 () (and @t88 @t76)) % 0.37/0.63 (define @t90 () (not @t89)) % 0.37/0.63 (define @t91 () (and @t88 @t83)) % 0.37/0.63 (define @t92 () (not @t91)) % 0.37/0.63 (define @t93 () (and @t78 @t75)) % 0.37/0.63 (define @t94 () (not @t93)) % 0.37/0.63 (define @t95 () (= tptp.n2 @t54)) % 0.37/0.63 (define @t96 () (and @t95 @t76)) % 0.37/0.63 (define @t97 () (not @t96)) % 0.37/0.63 (define @t98 () (and @t95 @t83)) % 0.37/0.63 (define @t99 () (not @t98)) % 0.37/0.63 (define @t100 () (= tptp.n1 @t54)) % 0.37/0.63 (define @t101 () (and @t100 @t76)) % 0.37/0.63 (define @t102 () (not @t101)) % 0.37/0.63 (define @t103 () (and @t100 @t83)) % 0.37/0.63 (define @t104 () (not @t103)) % 0.37/0.63 (define @t105 () (= tptp.n0 @t54)) % 0.37/0.63 (define @t106 () (and @t105 @t76)) % 0.37/0.63 (define @t107 () (not @t106)) % 0.37/0.63 (define @t108 () (and @t105 @t83)) % 0.37/0.63 (define @t109 () (not @t108)) % 0.37/0.63 (define @t110 () (and @t109 @t107 @t104 @t102 @t99 @t97 @t94 @t92 @t90 @t87 @t85 @t82 @t80 @t78 @t77 @t76 @t75)) % 0.37/0.63 (define @t111 () (=> @t110 @t74)) % 0.37/0.63 (define @t112 () (tptp.leq @t54 tptp.n5)) % 0.37/0.63 (define @t113 () (tptp.leq @t53 tptp.n5)) % 0.37/0.63 (define @t114 () (tptp.leq tptp.n0 @t54)) % 0.37/0.63 (define @t115 () (tptp.leq tptp.n0 @t53)) % 0.37/0.63 (define @t116 () (and @t115 @t114 @t113 @t112)) % 0.37/0.63 (define @t117 () (=> @t116 @t111)) % 0.37/0.63 (define @t118 () (@list @t53 @t54)) % 0.37/0.63 (define @t119 () (forall @t118 @t117)) % 0.37/0.63 (define @t120 () (= (tptp.a_select3 tptp.r_ds1_filter @t13 @t55) (tptp.a_select3 tptp.r_ds1_filter @t55 @t13))) % 0.37/0.63 (define @t121 () (tptp.leq @t55 tptp.n2)) % 0.37/0.63 (define @t122 () (tptp.leq @t13 tptp.n2)) % 0.37/0.63 (define @t123 () (tptp.leq tptp.n0 @t55)) % 0.37/0.63 (define @t124 () (tptp.leq tptp.n0 @t13)) % 0.37/0.63 (define @t125 () (and @t124 @t123 @t122 @t121)) % 0.37/0.63 (define @t126 () (@list @t13 @t55)) % 0.37/0.63 (define @t127 () (forall @t126 (=> @t125 @t120))) % 0.37/0.63 (define @t128 () (= (tptp.a_select3 tptp.q_ds1_filter @t27 @t42) (tptp.a_select3 tptp.q_ds1_filter @t42 @t27))) % 0.37/0.63 (define @t129 () (tptp.leq @t42 tptp.n5)) % 0.37/0.63 (define @t130 () (tptp.leq @t27 tptp.n5)) % 0.37/0.63 (define @t131 () (tptp.leq tptp.n0 @t42)) % 0.37/0.63 (define @t132 () (tptp.leq tptp.n0 @t27)) % 0.37/0.63 (define @t133 () (and @t132 @t131 @t130 @t129)) % 0.37/0.63 (define @t134 () (@list @t27 @t42)) % 0.37/0.63 (define @t135 () (forall @t134 (=> @t133 @t128))) % 0.37/0.63 (define @t136 () (and @t135 @t127)) % 0.37/0.63 (define @t137 () (=> @t136 @t119)) % 0.37/0.63 (define @t138 () (not @t137)) % 0.37/0.63 (define @t139 () (= @t2 tptp.n4)) % 0.37/0.63 (define @t140 () (= @t2 tptp.n3)) % 0.37/0.63 (define @t141 () (= @t2 tptp.n2)) % 0.37/0.63 (define @t142 () (= @t2 tptp.n1)) % 0.37/0.63 (define @t143 () (= @t2 tptp.n0)) % 0.37/0.63 (define @t144 () (tptp.succ tptp.n0)) % 0.37/0.63 (define @t145 () (tptp.succ @t144)) % 0.37/0.63 (define @t146 () (tptp.succ @t145)) % 0.37/0.63 (define @t147 () (tptp.succ @t146)) % 0.37/0.63 (define @t148 () (not @t121)) % 0.37/0.63 (define @t149 () (not @t122)) % 0.37/0.63 (define @t150 () (not @t123)) % 0.37/0.63 (define @t151 () (not @t124)) % 0.37/0.63 (define @t152 () (or @t151 @t150 @t149 @t148 @t120)) % 0.37/0.63 (define @t153 () (not @t129)) % 0.37/0.63 (define @t154 () (not @t130)) % 0.37/0.63 (define @t155 () (not @t131)) % 0.37/0.63 (define @t156 () (not @t132)) % 0.37/0.63 (define @t157 () (or @t156 @t155 @t154 @t153 @t128)) % 0.37/0.63 (define @t158 () (@list @t54)) % 0.37/0.63 (define @t159 () (= tptp.n3 tptp.n5)) % 0.37/0.63 (define @t160 () (= @t54 tptp.n2)) % 0.37/0.63 (define @t161 () (and @t160 @t159)) % 0.37/0.63 (define @t162 () (= tptp.n3 tptp.n4)) % 0.37/0.63 (define @t163 () (and @t160 @t162)) % 0.37/0.63 (define @t164 () (= @t54 tptp.n1)) % 0.37/0.63 (define @t165 () (and @t164 @t159)) % 0.37/0.63 (define @t166 () (and @t164 @t162)) % 0.37/0.63 (define @t167 () (and @t105 @t159)) % 0.37/0.63 (define @t168 () (and @t105 @t162)) % 0.37/0.63 (define @t169 () (not @t112)) % 0.37/0.63 (define @t170 () (not @t114)) % 0.37/0.63 (define @t171 () (not (tptp.leq tptp.n3 tptp.n5))) % 0.37/0.63 (define @t172 () (not (tptp.leq tptp.n0 tptp.n3))) % 0.37/0.63 (define @t173 () (= @t54 tptp.n5)) % 0.37/0.63 (define @t174 () (not @t159)) % 0.37/0.63 (define @t175 () (= @t54 tptp.n4)) % 0.37/0.63 (define @t176 () (not @t175)) % 0.37/0.63 (define @t177 () (and @t159 @t173)) % 0.37/0.63 (define @t178 () (and @t175 @t159)) % 0.37/0.63 (define @t179 () (and @t162 @t173)) % 0.37/0.63 (define @t180 () (and @t162 @t175)) % 0.37/0.63 (define @t181 () (= @t54 tptp.n3)) % 0.37/0.63 (define @t182 () (and @t181 @t159)) % 0.37/0.63 (define @t183 () (and @t181 @t162)) % 0.37/0.63 (define @t184 () (not @t173)) % 0.37/0.63 (define @t185 () (or @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t163 @t161 @t173 @t183 @t182 @t180 @t179 @t178 @t177 @t176 @t174 @t184)) % 0.37/0.63 (define @t186 () (= tptp.n3 tptp.n3)) % 0.37/0.63 (define @t187 () (not @t186)) % 0.37/0.63 (define @t188 () (and @t186 @t173)) % 0.37/0.63 (define @t189 () (or @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t163 @t161 @t188 @t183 @t182 @t180 @t179 @t178 @t177 @t187 @t176 @t174 @t184)) % 0.37/0.63 (define @t190 () (= @t53 tptp.n5)) % 0.37/0.63 (define @t191 () (not @t190)) % 0.37/0.63 (define @t192 () (= @t53 tptp.n3)) % 0.37/0.63 (define @t193 () (not @t192)) % 0.37/0.63 (define @t194 () (and @t190 @t173)) % 0.37/0.63 (define @t195 () (and @t175 @t190)) % 0.37/0.63 (define @t196 () (= @t53 tptp.n4)) % 0.37/0.63 (define @t197 () (and @t196 @t173)) % 0.37/0.63 (define @t198 () (and @t196 @t175)) % 0.37/0.63 (define @t199 () (and @t181 @t190)) % 0.37/0.63 (define @t200 () (and @t181 @t196)) % 0.37/0.63 (define @t201 () (and @t192 @t173)) % 0.37/0.63 (define @t202 () (and @t160 @t190)) % 0.37/0.63 (define @t203 () (and @t160 @t196)) % 0.37/0.63 (define @t204 () (and @t164 @t190)) % 0.37/0.63 (define @t205 () (and @t164 @t196)) % 0.37/0.63 (define @t206 () (and @t105 @t190)) % 0.37/0.63 (define @t207 () (and @t105 @t196)) % 0.37/0.63 (define @t208 () (not @t113)) % 0.37/0.63 (define @t209 () (not @t115)) % 0.37/0.63 (define @t210 () (or @t193 @t209 @t208 @t170 @t169 @t207 @t206 @t205 @t204 @t203 @t202 @t201 @t200 @t199 @t198 @t197 @t195 @t194 @t193 @t176 @t191 @t184)) % 0.37/0.63 (define @t211 () (@list @t53)) % 0.37/0.63 (define @t212 () (or @t209 @t208 @t170 @t169 @t207 @t206 @t205 @t204 @t203 @t202 @t201 @t200 @t199 @t198 @t197 @t195 @t194 @t193 @t176 @t191 @t184)) % 0.37/0.63 (define @t213 () (forall @t211 @t212)) % 0.37/0.63 (define @t214 () (forall @t158 @t213)) % 0.37/0.63 (define @t215 () (forall (@list @t54 @t53) @t212)) % 0.37/0.63 (define @t216 () (forall @t118 @t212)) % 0.37/0.63 (define @t217 () (or @t74 @t216)) % 0.37/0.63 (define @t218 () (or @t74 @t212)) % 0.37/0.63 (define @t219 () (or @t209 @t170 @t208 @t169 @t207 @t206 @t205 @t204 @t203 @t202 @t201 @t200 @t199 @t198 @t197 @t195 @t194 @t193 @t176 @t191 @t184 @t74)) % 0.37/0.63 (define @t220 () (or @t207 @t206 @t205 @t204 @t203 @t202 @t201 @t200 @t199 @t198 @t197 @t195 @t194 @t193 @t176 @t191 @t184 @t74)) % 0.37/0.63 (define @t221 () (or @t209 @t170 @t208 @t169)) % 0.37/0.63 (define @t222 () (not @t194)) % 0.37/0.63 (define @t223 () (not @t222)) % 0.37/0.63 (define @t224 () (not @t195)) % 0.37/0.63 (define @t225 () (not @t224)) % 0.37/0.63 (define @t226 () (not @t197)) % 0.37/0.63 (define @t227 () (not @t226)) % 0.37/0.63 (define @t228 () (not @t198)) % 0.37/0.63 (define @t229 () (not @t228)) % 0.37/0.63 (define @t230 () (not @t199)) % 0.37/0.63 (define @t231 () (not @t230)) % 0.37/0.63 (define @t232 () (not @t200)) % 0.37/0.63 (define @t233 () (not @t232)) % 0.37/0.63 (define @t234 () (not @t201)) % 0.37/0.63 (define @t235 () (not @t234)) % 0.37/0.63 (define @t236 () (not @t202)) % 0.37/0.63 (define @t237 () (not @t236)) % 0.37/0.63 (define @t238 () (not @t203)) % 0.37/0.63 (define @t239 () (not @t238)) % 0.37/0.63 (define @t240 () (not @t204)) % 0.37/0.63 (define @t241 () (not @t240)) % 0.37/0.63 (define @t242 () (not @t205)) % 0.37/0.63 (define @t243 () (not @t242)) % 0.37/0.63 (define @t244 () (not @t206)) % 0.37/0.63 (define @t245 () (not @t244)) % 0.37/0.63 (define @t246 () (not @t207)) % 0.37/0.63 (define @t247 () (not @t246)) % 0.37/0.63 (define @t248 () (or @t247 @t245 @t243 @t241 @t239 @t237 @t235 @t233 @t231 @t229 @t227 @t225 @t223 @t193 @t176 @t191 @t184)) % 0.37/0.63 (define @t249 () (and @t246 @t244 @t242 @t240 @t238 @t236 @t234 @t232 @t230 @t228 @t226 @t224 @t222 @t192 @t175 @t190 @t173)) % 0.37/0.63 (define @t250 () (=> @t249 @t74)) % 0.37/0.63 (define @t251 () (or @t151 @t150 @t149 @t148)) % 0.37/0.63 (define @t252 () (or @t156 @t155 @t154 @t153)) % 0.37/0.63 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.37/0.63 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.37/0.63 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.37/0.63 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.37/0.63 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.37/0.63 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.37/0.63 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.37/0.63 (assume @p8 (forall @t6 (=> @t4 @t10))) % 0.37/0.63 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.37/0.63 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.37/0.63 (assume @p11 (forall @t9 (tptp.gt @t11 @t2))) % 0.37/0.63 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t12)))) % 0.37/0.63 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t12 @t2)))) % 0.37/0.63 (assume @p14 (forall @t16 (=> @t15 (tptp.leq @t14 @t2)))) % 0.37/0.63 (assume @p15 (forall @t16 (=> @t15 (tptp.leq tptp.n0 @t14)))) % 0.37/0.63 (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)))) % 0.37/0.63 (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)))) % 0.37/0.63 (assume @p18 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t28 @t18 @t22) (tptp.a_select3 @t28 @t22 @t18))))))) % 0.37/0.63 (assume @p19 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t38 @t18 @t22) (tptp.a_select3 @t38 @t22 @t18))))))) % 0.37/0.63 (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))))))) % 0.37/0.63 (assume @p21 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t43 @t18 @t22) (tptp.a_select3 @t43 @t22 @t18))))))) % 0.37/0.63 (assume @p22 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t48 @t18 @t22) (tptp.a_select3 @t48 @t22 @t18))))))) % 0.37/0.63 (assume @p23 (forall @t47 (=> @t45 @t50))) % 0.37/0.63 (assume @p24 (forall (@list @t27 @t42 @t29 @t51) (=> (forall @t35 (=> @t52 @t44)) @t50))) % 0.37/0.63 (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))))))) % 0.37/0.63 (assume @p26 (forall @t59 (= @t58 tptp.n0))) % 0.37/0.63 (assume @p27 (forall @t59 (= tptp.tptp_float_0_0 @t58))) % 0.37/0.63 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.37/0.63 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t11))) % 0.37/0.63 (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t11))) % 0.37/0.63 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t60))) % 0.37/0.63 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t60))) % 0.37/0.63 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t61))) % 0.37/0.63 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t61))) % 0.37/0.63 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t62))) % 0.37/0.63 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t62))) % 0.37/0.63 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t63))) % 0.37/0.63 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t63))) % 0.37/0.63 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t64))) % 0.37/0.63 (assume @p40 (forall @t9 (= (tptp.pred @t11) @t2))) % 0.37/0.63 (assume @p41 (forall @t9 (= (tptp.succ @t64) @t2))) % 0.37/0.63 (assume @p42 (forall @t6 (= (tptp.leq @t11 @t12) @t10))) % 0.37/0.63 (assume @p43 (forall @t6 (=> (tptp.leq @t11 @t1) @t4))) % 0.37/0.63 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.37/0.63 (assume @p45 (forall (@list @t2 @t19 @t65 @t39) (= (tptp.a_select3 @t66 @t19 @t65) @t39))) % 0.37/0.63 (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)))) % 0.37/0.63 (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)))) % 0.37/0.63 (assume @p48 (forall (@list @t2 @t19 @t39) (= (tptp.a_select2 @t73 @t19) @t39))) % 0.37/0.63 (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)))) % 0.37/0.63 (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)))) % 0.37/0.63 (assume @p51 tptp.true) % 0.37/0.63 (assume @p52 (not (= tptp.def tptp.use))) % 0.37/0.63 (assume @p53 @t138) % 0.37/0.63 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.37/0.63 (assume @p55 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.37/0.63 (assume @p56 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.37/0.63 (assume @p57 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.37/0.63 (assume @p58 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.37/0.63 (assume @p59 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.37/0.63 (assume @p60 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.37/0.63 (assume @p61 (tptp.gt tptp.n4 tptp.n0)) % 0.37/0.63 (assume @p62 (tptp.gt tptp.n5 tptp.n0)) % 0.37/0.63 (assume @p63 (tptp.gt tptp.n1 tptp.n0)) % 0.37/0.63 (assume @p64 (tptp.gt tptp.n2 tptp.n0)) % 0.37/0.63 (assume @p65 (tptp.gt tptp.n3 tptp.n0)) % 0.37/0.63 (assume @p66 (tptp.gt tptp.n4 tptp.n1)) % 0.37/0.63 (assume @p67 (tptp.gt tptp.n5 tptp.n1)) % 0.37/0.63 (assume @p68 (tptp.gt tptp.n2 tptp.n1)) % 0.37/0.63 (assume @p69 (tptp.gt tptp.n3 tptp.n1)) % 0.37/0.63 (assume @p70 (tptp.gt tptp.n4 tptp.n2)) % 0.37/0.63 (assume @p71 (tptp.gt tptp.n5 tptp.n2)) % 0.37/0.63 (assume @p72 (tptp.gt tptp.n3 tptp.n2)) % 0.37/0.63 (assume @p73 (tptp.gt tptp.n4 tptp.n3)) % 0.37/0.63 (assume @p74 (tptp.gt tptp.n5 tptp.n3)) % 0.37/0.63 (assume @p75 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n4)) (or @t143 @t142 @t141 @t140 @t139)))) % 0.37/0.63 (assume @p76 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n5)) (or @t143 @t142 @t141 @t140 @t139 (= @t2 tptp.n5))))) % 0.37/0.63 (assume @p77 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n0)) @t143))) % 0.37/0.63 (assume @p78 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n1)) (or @t143 @t142)))) % 0.37/0.63 (assume @p79 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n2)) (or @t143 @t142 @t141)))) % 0.37/0.63 (assume @p80 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n3)) (or @t143 @t142 @t141 @t140)))) % 0.37/0.63 (assume @p81 (= @t147 tptp.n4)) % 0.37/0.63 (assume @p82 (= (tptp.succ @t147) tptp.n5)) % 0.37/0.63 (assume @p83 (= @t144 tptp.n1)) % 0.37/0.63 (assume @p84 (= @t145 tptp.n2)) % 0.37/0.63 (assume @p85 (= @t146 tptp.n3)) % 0.37/0.63 (assume @p86 true) % 0.37/0.63 (step @p87 :rule evaluate :args ((not true))) % 0.37/0.63 (step @p88 :rule bool-impl-true1 :args ((and (forall @t134 @t157) (forall @t126 @t152)))) % 0.37/0.63 (step @p89 :rule absorb :args ((= (or @t74 true) true))) % 0.37/0.63 (step @p90 :rule quant-unused-vars :args ((= (forall @t158 true) true))) % 0.37/0.63 (step @p91 :rule bool-or-taut :args ((or @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t163 @t161) @t173 (or @t183 @t182 @t180 @t179 @t178 @t177 @t176 @t174) false)) % 0.37/0.63 (step @p92 :rule cong :premises (@p91) :args ((forall @t158 @t185))) % 0.37/0.63 (step @p93 :rule trans :premises (@p92 @p90)) % 0.37/0.63 (step @p94 :rule aci_norm :args ((= (or @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t163 @t161 @t173 @t183 @t182 @t180 @t179 @t178 @t177 false @t176 @t174 @t184) @t185))) % 0.37/0.63 (step @p95 :rule refl :args (@t184)) % 0.37/0.63 (step @p96 :rule refl :args (@t174)) % 0.37/0.63 (step @p97 :rule refl :args (@t176)) % 0.37/0.63 (step @p98 :rule eq-refl :args (tptp.n3)) % 0.37/0.63 (step @p99 :rule cong :premises (@p98) :args (@t187)) % 0.37/0.63 (step @p100 :rule trans :premises (@p99 @p87)) % 0.37/0.63 (step @p101 :rule refl :args (@t177)) % 0.37/0.63 (step @p102 :rule refl :args (@t178)) % 0.37/0.63 (step @p103 :rule refl :args (@t179)) % 0.37/0.63 (step @p104 :rule refl :args (@t180)) % 0.37/0.63 (step @p105 :rule refl :args (@t182)) % 0.37/0.63 (step @p106 :rule refl :args (@t183)) % 0.37/0.63 (step @p107 :rule aci_norm :args ((= (and true @t173) @t173))) % 0.37/0.63 (step @p108 :rule refl :args (@t173)) % 0.37/0.63 (step @p109 :rule nary_cong :premises (@p98 @p108) :args (@t188)) % 0.37/0.63 (step @p110 :rule trans :premises (@p109 @p107)) % 0.37/0.63 (step @p111 :rule refl :args (@t161)) % 0.37/0.63 (step @p112 :rule refl :args (@t163)) % 0.37/0.63 (step @p113 :rule refl :args (@t165)) % 0.37/0.63 (step @p114 :rule refl :args (@t166)) % 0.37/0.63 (step @p115 :rule refl :args (@t167)) % 0.37/0.63 (step @p116 :rule refl :args (@t168)) % 0.37/0.63 (step @p117 :rule refl :args (@t169)) % 0.37/0.63 (step @p118 :rule refl :args (@t170)) % 0.37/0.63 (step @p119 :rule refl :args (@t171)) % 0.37/0.63 (step @p120 :rule refl :args (@t172)) % 0.37/0.63 (step @p121 :rule nary_cong :premises (@p120 @p119 @p118 @p117 @p116 @p115 @p114 @p113 @p112 @p111 @p110 @p106 @p105 @p104 @p103 @p102 @p101 @p100 @p97 @p96 @p95) :args (@t189)) % 0.37/0.63 (step @p122 :rule trans :premises (@p121 @p94)) % 0.37/0.63 (step @p123 :rule cong :premises (@p122) :args ((forall @t158 @t189))) % 0.37/0.63 (step @p124 :rule trans :premises (@p123 @p93)) % 0.37/0.63 (step @p125 :rule quant-var-elim-eq :args ((= (forall @t211 @t210) @t189))) % 0.37/0.63 (step @p126 :rule aci_norm :args ((= @t212 @t210))) % 0.37/0.63 (step @p127 :rule cong :premises (@p126) :args (@t213)) % 0.37/0.63 (step @p128 :rule trans :premises (@p127 @p125)) % 0.37/0.63 (step @p129 :rule cong :premises (@p128) :args (@t214)) % 0.37/0.63 (step @p130 :rule quant-merge-prenex :args ((= @t214 @t215))) % 0.37/0.63 (step @p131 :rule symm :premises (@p130)) % 0.37/0.63 (step @p132 :rule quant_var_reordering :args ((= @t216 @t215))) % 0.37/0.63 (step @p133 :rule trans :premises (@p132 @p131 @p129)) % 0.37/0.63 (step @p134 :rule trans :premises (@p133 @p124)) % 0.37/0.63 (step @p135 :rule refl :args (@t74)) % 0.37/0.63 (step @p136 :rule nary_cong :premises (@p135 @p134) :args (@t217)) % 0.37/0.63 (step @p137 :rule trans :premises (@p136 @p89)) % 0.37/0.63 (step @p138 :rule quant-miniscope-or :args ((= (forall @t118 @t218) @t217))) % 0.37/0.63 (step @p139 :rule aci_norm :args ((= @t219 @t218))) % 0.37/0.63 (step @p140 :rule cong :premises (@p139) :args ((forall @t118 @t219))) % 0.37/0.63 (step @p141 :rule trans :premises (@p140 @p138)) % 0.37/0.63 (step @p142 :rule trans :premises (@p141 @p137)) % 0.37/0.63 (step @p143 :rule aci_norm :args ((= (or @t221 @t220) @t219))) % 0.37/0.63 (step @p144 :rule aci_norm :args ((= (or (or @t207 @t206 @t205 @t204 @t203 @t202 @t201 @t200 @t199 @t198 @t197 @t195 @t194 @t193 @t176 @t191 @t184) @t74) @t220))) % 0.37/0.63 (step @p145 :rule refl :args (@t74)) % 0.37/0.63 (step @p146 :rule refl :args (@t184)) % 0.37/0.63 (step @p147 :rule refl :args (@t191)) % 0.37/0.63 (step @p148 :rule refl :args (@t176)) % 0.37/0.63 (step @p149 :rule refl :args (@t193)) % 0.37/0.63 (step @p150 :rule bool-double-not-elim :args (@t194)) % 0.37/0.63 (step @p151 :rule bool-double-not-elim :args (@t195)) % 0.37/0.63 (step @p152 :rule bool-double-not-elim :args (@t197)) % 0.37/0.63 (step @p153 :rule bool-double-not-elim :args (@t198)) % 0.37/0.63 (step @p154 :rule bool-double-not-elim :args (@t199)) % 0.37/0.63 (step @p155 :rule bool-double-not-elim :args (@t200)) % 0.37/0.63 (step @p156 :rule bool-double-not-elim :args (@t201)) % 0.37/0.63 (step @p157 :rule bool-double-not-elim :args (@t202)) % 0.37/0.63 (step @p158 :rule bool-double-not-elim :args (@t203)) % 0.37/0.63 (step @p159 :rule bool-double-not-elim :args (@t204)) % 0.37/0.63 (step @p160 :rule bool-double-not-elim :args (@t205)) % 0.37/0.63 (step @p161 :rule bool-double-not-elim :args (@t206)) % 0.37/0.63 (step @p162 :rule bool-double-not-elim :args (@t207)) % 0.37/0.63 (step @p163 :rule nary_cong :premises (@p162 @p161 @p160 @p159 @p158 @p157 @p156 @p155 @p154 @p153 @p152 @p151 @p150 @p149 @p148 @p147 @p146) :args (@t248)) % 0.37/0.63 (step @p164 :rule aci_norm :args ((= (or @t247 (or @t245 (or @t243 (or @t241 (or @t239 (or @t237 (or @t235 (or @t233 (or @t231 (or @t229 (or @t227 (or @t225 (or @t223 (or @t193 (or @t176 (or @t191 @t184)))))))))))))))) @t248))) % 0.37/0.63 (step @p165 :rule trans :premises (@p164 @p163)) % 0.37/0.63 (step @p166 :rule bool-and-de-morgan :args (@t190 @t173 true)) % 0.37/0.63 (step @p167 :rule nary_cong :premises (@p148 @p166) :args ((or @t176 @t222))) % 0.37/0.63 (step @p168 :rule bool-and-de-morgan :args (@t175 @t190 (and @t173))) % 0.37/0.63 (step @p169 :rule trans :premises (@p168 @p167)) % 0.37/0.63 (step @p170 :rule nary_cong :premises (@p149 @p169) :args ((or @t193 (not (and @t175 @t190 @t173))))) % 0.37/0.63 (step @p171 :rule bool-and-de-morgan :args (@t192 @t175 (and @t190 @t173))) % 0.37/0.63 (step @p172 :rule trans :premises (@p171 @p170)) % 0.37/0.63 (step @p173 :rule refl :args (@t223)) % 0.37/0.63 (step @p174 :rule nary_cong :premises (@p173 @p172) :args ((or @t223 (not (and @t192 @t175 @t190 @t173))))) % 0.37/0.63 (step @p175 :rule bool-and-de-morgan :args (@t222 @t192 (and @t175 @t190 @t173))) % 0.37/0.63 (step @p176 :rule trans :premises (@p175 @p174)) % 0.37/0.63 (step @p177 :rule refl :args (@t225)) % 0.37/0.63 (step @p178 :rule nary_cong :premises (@p177 @p176) :args ((or @t225 (not (and @t222 @t192 @t175 @t190 @t173))))) % 0.37/0.63 (step @p179 :rule bool-and-de-morgan :args (@t224 @t222 (and @t192 @t175 @t190 @t173))) % 0.37/0.63 (step @p180 :rule trans :premises (@p179 @p178)) % 0.37/0.63 (step @p181 :rule refl :args (@t227)) % 0.37/0.63 (step @p182 :rule nary_cong :premises (@p181 @p180) :args ((or @t227 (not (and @t224 @t222 @t192 @t175 @t190 @t173))))) % 0.37/0.63 (step @p183 :rule bool-and-de-morgan :args (@t226 @t224 (and @t222 @t192 @t175 @t190 @t173))) % 0.37/0.63 (step @p184 :rule trans :premises (@p183 @p182)) % 0.37/0.63 (step @p185 :rule refl :args (@t229)) % 0.37/0.63 (step @p186 :rule nary_cong :premises (@p185 @p184) :args ((or @t229 (not (and @t226 @t224 @t222 @t192 @t175 @t190 @t173))))) % 0.37/0.63 (step @p187 :rule bool-and-de-morgan :args (@t228 @t226 (and @t224 @t222 @t192 @t175 @t190 @t173))) % 0.37/0.63 (step @p188 :rule trans :premises (@p187 @p186)) % 0.37/0.63 (step @p189 :rule refl :args (@t231)) % 0.37/0.63 (step @p190 :rule nary_cong :premises (@p189 @p188) :args ((or @t231 (not (and @t228 @t226 @t224 @t222 @t192 @t175 @t190 @t173))))) % 0.37/0.63 (step @p191 :rule bool-and-de-morgan :args (@t230 @t228 (and @t226 @t224 @t222 @t192 @t175 @t190 @t173))) % 0.37/0.63 (step @p192 :rule trans :premises (@p191 @p190)) % 0.37/0.63 (step @p193 :rule refl :args (@t233)) % 0.37/0.63 (step @p194 :rule nary_cong :premises (@p193 @p192) :args ((or @t233 (not (and @t230 @t228 @t226 @t224 @t222 @t192 @t175 @t190 @t173))))) % 0.37/0.63 (step @p195 :rule bool-and-de-morgan :args (@t232 @t230 (and @t228 @t226 @t224 @t222 @t192 @t175 @t190 @t173))) % 0.37/0.63 (step @p196 :rule trans :premises (@p195 @p194)) % 0.37/0.63 (step @p197 :rule refl :args (@t235)) % 0.37/0.63 (step @p198 :rule nary_cong :premises (@p197 @p196) :args ((or @t235 (not (and @t232 @t230 @t228 @t226 @t224 @t222 @t192 @t175 @t190 @t173))))) % 0.37/0.63 (step @p199 :rule bool-and-de-morgan :args (@t234 @t232 (and @t230 @t228 @t226 @t224 @t222 @t192 @t175 @t190 @t173))) % 0.37/0.63 (step @p200 :rule trans :premises (@p199 @p198)) % 0.37/0.63 (step @p201 :rule refl :args (@t237)) % 0.37/0.63 (step @p202 :rule nary_cong :premises (@p201 @p200) :args ((or @t237 (not (and @t234 @t232 @t230 @t228 @t226 @t224 @t222 @t192 @t175 @t190 @t173))))) % 0.37/0.63 (step @p203 :rule bool-and-de-morgan :args (@t236 @t234 (and @t232 @t230 @t228 @t226 @t224 @t222 @t192 @t175 @t190 @t173))) % 0.37/0.63 (step @p204 :rule trans :premises (@p203 @p202)) % 0.37/0.63 (step @p205 :rule refl :args (@t239)) % 0.37/0.63 (step @p206 :rule nary_cong :premises (@p205 @p204) :args ((or @t239 (not (and @t236 @t234 @t232 @t230 @t228 @t226 @t224 @t222 @t192 @t175 @t190 @t173))))) % 0.37/0.63 (step @p207 :rule bool-and-de-morgan :args (@t238 @t236 (and @t234 @t232 @t230 @t228 @t226 @t224 @t222 @t192 @t175 @t190 @t173))) % 0.37/0.63 (step @p208 :rule trans :premises (@p207 @p206)) % 0.37/0.63 (step @p209 :rule refl :args (@t241)) % 0.37/0.63 (step @p210 :rule nary_cong :premises (@p209 @p208) :args ((or @t241 (not (and @t238 @t236 @t234 @t232 @t230 @t228 @t226 @t224 @t222 @t192 @t175 @t190 @t173))))) % 0.37/0.63 (step @p211 :rule bool-and-de-morgan :args (@t240 @t238 (and @t236 @t234 @t232 @t230 @t228 @t226 @t224 @t222 @t192 @t175 @t190 @t173))) % 0.37/0.63 (step @p212 :rule trans :premises (@p211 @p210)) % 0.37/0.63 (step @p213 :rule refl :args (@t243)) % 0.37/0.63 (step @p214 :rule nary_cong :premises (@p213 @p212) :args ((or @t243 (not (and @t240 @t238 @t236 @t234 @t232 @t230 @t228 @t226 @t224 @t222 @t192 @t175 @t190 @t173))))) % 0.37/0.63 (step @p215 :rule bool-and-de-morgan :args (@t242 @t240 (and @t238 @t236 @t234 @t232 @t230 @t228 @t226 @t224 @t222 @t192 @t175 @t190 @t173))) % 0.37/0.63 (step @p216 :rule trans :premises (@p215 @p214)) % 0.37/0.63 (step @p217 :rule refl :args (@t245)) % 0.37/0.63 (step @p218 :rule nary_cong :premises (@p217 @p216) :args ((or @t245 (not (and @t242 @t240 @t238 @t236 @t234 @t232 @t230 @t228 @t226 @t224 @t222 @t192 @t175 @t190 @t173))))) % 0.37/0.63 (step @p219 :rule bool-and-de-morgan :args (@t244 @t242 (and @t240 @t238 @t236 @t234 @t232 @t230 @t228 @t226 @t224 @t222 @t192 @t175 @t190 @t173))) % 0.37/0.63 (step @p220 :rule trans :premises (@p219 @p218)) % 0.37/0.63 (step @p221 :rule refl :args (@t247)) % 0.37/0.63 (step @p222 :rule nary_cong :premises (@p221 @p220) :args ((or @t247 (not (and @t244 @t242 @t240 @t238 @t236 @t234 @t232 @t230 @t228 @t226 @t224 @t222 @t192 @t175 @t190 @t173))))) % 0.37/0.63 (step @p223 :rule bool-and-de-morgan :args (@t246 @t244 (and @t242 @t240 @t238 @t236 @t234 @t232 @t230 @t228 @t226 @t224 @t222 @t192 @t175 @t190 @t173))) % 0.37/0.63 (step @p224 :rule trans :premises (@p223 @p222)) % 0.37/0.63 (step @p225 :rule trans :premises (@p224 @p165)) % 0.37/0.63 (step @p226 :rule nary_cong :premises (@p225 @p145) :args ((or (not @t249) @t74))) % 0.37/0.63 (step @p227 :rule trans :premises (@p226 @p144)) % 0.37/0.63 (step @p228 :rule bool-impl-elim :args (@t249 @t74)) % 0.37/0.63 (step @p229 :rule trans :premises (@p228 @p227)) % 0.37/0.63 (step @p230 :rule aci_norm :args ((= (or @t209 (or @t170 (or @t208 @t169))) @t221))) % 0.37/0.63 (step @p231 :rule bool-and-de-morgan :args (@t113 @t112 true)) % 0.37/0.63 (step @p232 :rule refl :args (@t170)) % 0.37/0.63 (step @p233 :rule nary_cong :premises (@p232 @p231) :args ((or @t170 (not (and @t113 @t112))))) % 0.37/0.63 (step @p234 :rule bool-and-de-morgan :args (@t114 @t113 (and @t112))) % 0.37/0.63 (step @p235 :rule trans :premises (@p234 @p233)) % 0.37/0.63 (step @p236 :rule refl :args (@t209)) % 0.37/0.63 (step @p237 :rule nary_cong :premises (@p236 @p235) :args ((or @t209 (not (and @t114 @t113 @t112))))) % 0.37/0.63 (step @p238 :rule bool-and-de-morgan :args (@t115 @t114 (and @t113 @t112))) % 0.37/0.63 (step @p239 :rule trans :premises (@p238 @p237)) % 0.37/0.63 (step @p240 :rule trans :premises (@p239 @p230)) % 0.37/0.63 (step @p241 :rule nary_cong :premises (@p240 @p229) :args ((or (not @t116) @t250))) % 0.37/0.63 (step @p242 :rule trans :premises (@p241 @p143)) % 0.37/0.63 (step @p243 :rule bool-impl-elim :args (@t116 @t250)) % 0.37/0.63 (step @p244 :rule trans :premises (@p243 @p242)) % 0.37/0.63 (step @p245 :rule cong :premises (@p244) :args ((forall @t118 (=> @t116 @t250)))) % 0.37/0.63 (step @p246 :rule trans :premises (@p245 @p142)) % 0.37/0.63 (step @p247 :rule eq-symm :args (tptp.n5 @t54)) % 0.37/0.63 (step @p248 :rule eq-symm :args (tptp.n5 @t53)) % 0.37/0.63 (step @p249 :rule eq-symm :args (tptp.n4 @t54)) % 0.37/0.63 (step @p250 :rule eq-symm :args (tptp.n3 @t53)) % 0.37/0.63 (step @p251 :rule nary_cong :premises (@p248 @p247) :args (@t79)) % 0.37/0.63 (step @p252 :rule cong :premises (@p251) :args (@t80)) % 0.37/0.63 (step @p253 :rule nary_cong :premises (@p249 @p248) :args (@t81)) % 0.37/0.63 (step @p254 :rule cong :premises (@p253) :args (@t82)) % 0.37/0.63 (step @p255 :rule eq-symm :args (tptp.n4 @t53)) % 0.37/0.63 (step @p256 :rule nary_cong :premises (@p255 @p247) :args (@t84)) % 0.37/0.63 (step @p257 :rule cong :premises (@p256) :args (@t85)) % 0.37/0.63 (step @p258 :rule nary_cong :premises (@p255 @p249) :args (@t86)) % 0.37/0.63 (step @p259 :rule cong :premises (@p258) :args (@t87)) % 0.37/0.63 (step @p260 :rule eq-symm :args (tptp.n3 @t54)) % 0.37/0.63 (step @p261 :rule nary_cong :premises (@p260 @p248) :args (@t89)) % 0.37/0.63 (step @p262 :rule cong :premises (@p261) :args (@t90)) % 0.37/0.63 (step @p263 :rule nary_cong :premises (@p260 @p255) :args (@t91)) % 0.37/0.63 (step @p264 :rule cong :premises (@p263) :args (@t92)) % 0.37/0.63 (step @p265 :rule nary_cong :premises (@p250 @p247) :args (@t93)) % 0.37/0.63 (step @p266 :rule cong :premises (@p265) :args (@t94)) % 0.37/0.63 (step @p267 :rule eq-symm :args (tptp.n2 @t54)) % 0.37/0.63 (step @p268 :rule nary_cong :premises (@p267 @p248) :args (@t96)) % 0.37/0.63 (step @p269 :rule cong :premises (@p268) :args (@t97)) % 0.37/0.63 (step @p270 :rule nary_cong :premises (@p267 @p255) :args (@t98)) % 0.37/0.63 (step @p271 :rule cong :premises (@p270) :args (@t99)) % 0.37/0.63 (step @p272 :rule eq-symm :args (tptp.n1 @t54)) % 0.37/0.63 (step @p273 :rule nary_cong :premises (@p272 @p248) :args (@t101)) % 0.37/0.63 (step @p274 :rule cong :premises (@p273) :args (@t102)) % 0.37/0.63 (step @p275 :rule nary_cong :premises (@p272 @p255) :args (@t103)) % 0.37/0.63 (step @p276 :rule cong :premises (@p275) :args (@t104)) % 0.37/0.63 (step @p277 :rule refl :args (@t105)) % 0.37/0.63 (step @p278 :rule nary_cong :premises (@p277 @p248) :args (@t106)) % 0.37/0.63 (step @p279 :rule cong :premises (@p278) :args (@t107)) % 0.37/0.63 (step @p280 :rule nary_cong :premises (@p277 @p255) :args (@t108)) % 0.37/0.63 (step @p281 :rule cong :premises (@p280) :args (@t109)) % 0.37/0.63 (step @p282 :rule nary_cong :premises (@p281 @p279 @p276 @p274 @p271 @p269 @p266 @p264 @p262 @p259 @p257 @p254 @p252 @p250 @p249 @p248 @p247) :args (@t110)) % 0.37/0.63 (step @p283 :rule cong :premises (@p282 @p135) :args (@t111)) % 0.37/0.63 (step @p284 :rule refl :args (@t116)) % 0.37/0.63 (step @p285 :rule cong :premises (@p284 @p283) :args (@t117)) % 0.37/0.63 (step @p286 :rule cong :premises (@p285) :args (@t119)) % 0.37/0.63 (step @p287 :rule trans :premises (@p286 @p246)) % 0.37/0.63 (step @p288 :rule aci_norm :args ((= (or @t251 @t120) @t152))) % 0.37/0.63 (step @p289 :rule refl :args (@t120)) % 0.37/0.63 (step @p290 :rule aci_norm :args ((= (or @t151 (or @t150 (or @t149 @t148))) @t251))) % 0.37/0.63 (step @p291 :rule bool-and-de-morgan :args (@t122 @t121 true)) % 0.37/0.63 (step @p292 :rule refl :args (@t150)) % 0.37/0.63 (step @p293 :rule nary_cong :premises (@p292 @p291) :args ((or @t150 (not (and @t122 @t121))))) % 0.37/0.63 (step @p294 :rule bool-and-de-morgan :args (@t123 @t122 (and @t121))) % 0.37/0.63 (step @p295 :rule trans :premises (@p294 @p293)) % 0.37/0.63 (step @p296 :rule refl :args (@t151)) % 0.37/0.63 (step @p297 :rule nary_cong :premises (@p296 @p295) :args ((or @t151 (not (and @t123 @t122 @t121))))) % 0.37/0.63 (step @p298 :rule bool-and-de-morgan :args (@t124 @t123 (and @t122 @t121))) % 0.37/0.63 (step @p299 :rule trans :premises (@p298 @p297)) % 0.37/0.63 (step @p300 :rule trans :premises (@p299 @p290)) % 0.37/0.63 (step @p301 :rule nary_cong :premises (@p300 @p289) :args ((or (not @t125) @t120))) % 0.37/0.63 (step @p302 :rule trans :premises (@p301 @p288)) % 0.37/0.63 (step @p303 :rule bool-impl-elim :args (@t125 @t120)) % 0.37/0.63 (step @p304 :rule trans :premises (@p303 @p302)) % 0.37/0.63 (step @p305 :rule cong :premises (@p304) :args (@t127)) % 0.37/0.63 (step @p306 :rule aci_norm :args ((= (or @t252 @t128) @t157))) % 0.37/0.63 (step @p307 :rule refl :args (@t128)) % 0.37/0.63 (step @p308 :rule aci_norm :args ((= (or @t156 (or @t155 (or @t154 @t153))) @t252))) % 0.37/0.63 (step @p309 :rule bool-and-de-morgan :args (@t130 @t129 true)) % 0.37/0.63 (step @p310 :rule refl :args (@t155)) % 0.37/0.63 (step @p311 :rule nary_cong :premises (@p310 @p309) :args ((or @t155 (not (and @t130 @t129))))) % 0.37/0.63 (step @p312 :rule bool-and-de-morgan :args (@t131 @t130 (and @t129))) % 0.37/0.63 (step @p313 :rule trans :premises (@p312 @p311)) % 0.37/0.63 (step @p314 :rule refl :args (@t156)) % 0.37/0.63 (step @p315 :rule nary_cong :premises (@p314 @p313) :args ((or @t156 (not (and @t131 @t130 @t129))))) % 0.37/0.63 (step @p316 :rule bool-and-de-morgan :args (@t132 @t131 (and @t130 @t129))) % 0.37/0.63 (step @p317 :rule trans :premises (@p316 @p315)) % 0.37/0.63 (step @p318 :rule trans :premises (@p317 @p308)) % 0.37/0.63 (step @p319 :rule nary_cong :premises (@p318 @p307) :args ((or (not @t133) @t128))) % 0.37/0.63 (step @p320 :rule trans :premises (@p319 @p306)) % 0.37/0.63 (step @p321 :rule bool-impl-elim :args (@t133 @t128)) % 0.37/0.63 (step @p322 :rule trans :premises (@p321 @p320)) % 0.37/0.63 (step @p323 :rule cong :premises (@p322) :args (@t135)) % 0.37/0.63 (step @p324 :rule nary_cong :premises (@p323 @p305) :args (@t136)) % 0.37/0.63 (step @p325 :rule cong :premises (@p324 @p287) :args (@t137)) % 0.37/0.63 (step @p326 :rule trans :premises (@p325 @p88)) % 0.37/0.63 (step @p327 :rule cong :premises (@p326) :args (@t138)) % 0.37/0.63 (step @p328 :rule trans :premises (@p327 @p87)) % 0.37/0.63 (step @p329 false :rule eq_resolve :premises (@p53 @p328)) % 0.37/0.63 ) % 0.37/0.63 % SZS output end Proof % 0.37/0.64 % cvc5 exiting %------------------------------------------------------------------------------