%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV230+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 : n005.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 0.40s 0.64s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SWV230+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n005.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 19:59:33 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.64 % SZS status Theorem % 0.40/0.64 % SZS output start Proof % 0.40/0.64 ( % 0.40/0.64 (declare-sort $$unsorted 0) % 0.40/0.64 (declare-const tptp.q_ds1_filter $$unsorted) % 0.40/0.64 (declare-const tptp.def $$unsorted) % 0.40/0.64 (declare-const tptp.use $$unsorted) % 0.40/0.64 (declare-const tptp.true Bool) % 0.40/0.64 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.64 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.64 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.40/0.64 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.64 (declare-const tptp.xinit_noise $$unsorted) % 0.40/0.64 (declare-const tptp.n3 $$unsorted) % 0.40/0.64 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.64 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.40/0.64 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.40/0.64 (declare-const tptp.n0 $$unsorted) % 0.40/0.64 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.64 (declare-const tptp.n1 $$unsorted) % 0.40/0.64 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.40/0.64 (declare-const tptp.n5 $$unsorted) % 0.40/0.64 (declare-const tptp.r_ds1_filter $$unsorted) % 0.40/0.64 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.40/0.64 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.64 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.64 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.64 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.40/0.64 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.40/0.64 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.40/0.64 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.64 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.40/0.64 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.64 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.64 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.64 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.64 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.64 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.40/0.64 (declare-const tptp.n4 $$unsorted) % 0.40/0.64 (declare-const tptp.n2 $$unsorted) % 0.40/0.64 (define @t1 () (@var "Y" $$unsorted)) % 0.40/0.64 (define @t2 () (@var "X" $$unsorted)) % 0.40/0.64 (define @t3 () (= @t2 @t1)) % 0.40/0.64 (define @t4 () (tptp.gt @t1 @t2)) % 0.40/0.64 (define @t5 () (tptp.gt @t2 @t1)) % 0.40/0.64 (define @t6 () (@list @t2 @t1)) % 0.40/0.64 (define @t7 () (@var "Z" $$unsorted)) % 0.40/0.64 (define @t8 () (@list @t2 @t1 @t7)) % 0.40/0.64 (define @t9 () (@list @t2)) % 0.40/0.64 (define @t10 () (tptp.leq @t2 @t1)) % 0.40/0.64 (define @t11 () (tptp.succ @t2)) % 0.40/0.64 (define @t12 () (tptp.succ @t1)) % 0.40/0.64 (define @t13 () (@var "C" $$unsorted)) % 0.40/0.64 (define @t14 () (tptp.uniform_int_rnd @t13 @t2)) % 0.40/0.64 (define @t15 () (tptp.leq tptp.n0 @t2)) % 0.40/0.64 (define @t16 () (@list @t2 @t13)) % 0.40/0.64 (define @t17 () (@var "Val" $$unsorted)) % 0.40/0.64 (define @t18 () (@var "I" $$unsorted)) % 0.40/0.64 (define @t19 () (@var "U" $$unsorted)) % 0.40/0.64 (define @t20 () (@var "L" $$unsorted)) % 0.40/0.64 (define @t21 () (tptp.leq @t18 @t19)) % 0.40/0.64 (define @t22 () (@var "J" $$unsorted)) % 0.40/0.64 (define @t23 () (@var "U2" $$unsorted)) % 0.40/0.64 (define @t24 () (@var "L2" $$unsorted)) % 0.40/0.64 (define @t25 () (@var "U1" $$unsorted)) % 0.40/0.64 (define @t26 () (@var "L1" $$unsorted)) % 0.40/0.64 (define @t27 () (@var "A" $$unsorted)) % 0.40/0.64 (define @t28 () (tptp.trans @t27)) % 0.40/0.64 (define @t29 () (@var "N" $$unsorted)) % 0.40/0.64 (define @t30 () (tptp.leq @t22 @t29)) % 0.40/0.64 (define @t31 () (tptp.leq tptp.n0 @t22)) % 0.40/0.64 (define @t32 () (tptp.leq @t18 @t29)) % 0.40/0.64 (define @t33 () (tptp.leq tptp.n0 @t18)) % 0.40/0.64 (define @t34 () (and @t33 @t32 @t31 @t30)) % 0.40/0.64 (define @t35 () (@list @t18 @t22)) % 0.40/0.64 (define @t36 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t27 @t18 @t22) (tptp.a_select3 @t27 @t22 @t18))))) % 0.40/0.64 (define @t37 () (@list @t27 @t29)) % 0.40/0.64 (define @t38 () (tptp.inv @t27)) % 0.40/0.64 (define @t39 () (@var "VAL" $$unsorted)) % 0.40/0.64 (define @t40 () (@var "K" $$unsorted)) % 0.40/0.64 (define @t41 () (tptp.tptp_update3 @t27 @t40 @t40 @t39)) % 0.40/0.64 (define @t42 () (@var "B" $$unsorted)) % 0.40/0.64 (define @t43 () (tptp.tptp_madd @t27 @t42)) % 0.40/0.64 (define @t44 () (= (tptp.a_select3 @t42 @t18 @t22) (tptp.a_select3 @t42 @t22 @t18))) % 0.40/0.64 (define @t45 () (forall @t35 (=> @t34 @t44))) % 0.40/0.64 (define @t46 () (and @t36 @t45)) % 0.40/0.64 (define @t47 () (@list @t27 @t42 @t29)) % 0.40/0.64 (define @t48 () (tptp.tptp_msub @t27 @t42)) % 0.40/0.64 (define @t49 () (tptp.tptp_mmul @t27 (tptp.tptp_mmul @t42 @t28))) % 0.40/0.64 (define @t50 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t49 @t18 @t22) (tptp.a_select3 @t49 @t22 @t18))))) % 0.40/0.64 (define @t51 () (@var "M" $$unsorted)) % 0.40/0.64 (define @t52 () (and @t33 (tptp.leq @t18 @t51) @t31 (tptp.leq @t22 @t51))) % 0.40/0.64 (define @t53 () (@var "E" $$unsorted)) % 0.40/0.64 (define @t54 () (@var "F" $$unsorted)) % 0.40/0.64 (define @t55 () (@var "D" $$unsorted)) % 0.40/0.64 (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))))) % 0.40/0.64 (define @t57 () (@var "Body" $$unsorted)) % 0.40/0.64 (define @t58 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t57)) % 0.40/0.64 (define @t59 () (@list @t57)) % 0.40/0.64 (define @t60 () (tptp.succ @t11)) % 0.40/0.64 (define @t61 () (tptp.succ @t60)) % 0.40/0.64 (define @t62 () (tptp.succ @t61)) % 0.40/0.64 (define @t63 () (tptp.succ @t62)) % 0.40/0.64 (define @t64 () (tptp.pred @t2)) % 0.40/0.64 (define @t65 () (@var "V" $$unsorted)) % 0.40/0.64 (define @t66 () (tptp.tptp_update3 @t2 @t19 @t65 @t39)) % 0.40/0.64 (define @t67 () (@var "VAL2" $$unsorted)) % 0.40/0.64 (define @t68 () (not (= @t18 @t19))) % 0.40/0.64 (define @t69 () (@var "J0" $$unsorted)) % 0.40/0.64 (define @t70 () (@var "I0" $$unsorted)) % 0.40/0.64 (define @t71 () (tptp.leq @t70 @t19)) % 0.40/0.64 (define @t72 () (tptp.leq tptp.n0 @t70)) % 0.40/0.64 (define @t73 () (tptp.tptp_update2 @t2 @t19 @t39)) % 0.40/0.64 (define @t74 () (= tptp.n0 (tptp.a_select2 tptp.xinit_noise tptp.n4))) % 0.40/0.64 (define @t75 () (= tptp.n5 @t53)) % 0.40/0.64 (define @t76 () (= tptp.n4 @t54)) % 0.40/0.64 (define @t77 () (= tptp.n4 @t53)) % 0.40/0.64 (define @t78 () (= tptp.n5 @t54)) % 0.40/0.64 (define @t79 () (and @t75 @t78)) % 0.40/0.64 (define @t80 () (not @t79)) % 0.40/0.64 (define @t81 () (and @t76 @t75)) % 0.40/0.64 (define @t82 () (not @t81)) % 0.40/0.64 (define @t83 () (and @t77 @t78)) % 0.40/0.64 (define @t84 () (not @t83)) % 0.40/0.64 (define @t85 () (and (= tptp.n3 @t54) @t75)) % 0.40/0.64 (define @t86 () (not @t85)) % 0.40/0.64 (define @t87 () (and (= tptp.n3 @t53) @t78)) % 0.40/0.64 (define @t88 () (not @t87)) % 0.40/0.64 (define @t89 () (and (= tptp.n2 @t54) @t75)) % 0.40/0.64 (define @t90 () (not @t89)) % 0.40/0.64 (define @t91 () (and (= tptp.n2 @t53) @t78)) % 0.40/0.64 (define @t92 () (not @t91)) % 0.40/0.64 (define @t93 () (and (= tptp.n1 @t53) @t78)) % 0.40/0.64 (define @t94 () (not @t93)) % 0.40/0.64 (define @t95 () (= tptp.n0 @t53)) % 0.40/0.64 (define @t96 () (and @t95 @t78)) % 0.40/0.64 (define @t97 () (not @t96)) % 0.40/0.64 (define @t98 () (and @t97 @t94 @t92 @t90 @t88 @t86 @t84 @t82 @t80 (= tptp.n1 @t54) @t77 @t76 @t75)) % 0.40/0.64 (define @t99 () (=> @t98 @t74)) % 0.40/0.64 (define @t100 () (tptp.leq @t54 tptp.n5)) % 0.40/0.64 (define @t101 () (tptp.leq @t53 tptp.n5)) % 0.40/0.64 (define @t102 () (tptp.leq tptp.n0 @t54)) % 0.40/0.64 (define @t103 () (tptp.leq tptp.n0 @t53)) % 0.40/0.64 (define @t104 () (and @t103 @t102 @t101 @t100)) % 0.40/0.64 (define @t105 () (=> @t104 @t99)) % 0.40/0.64 (define @t106 () (@list @t53 @t54)) % 0.40/0.64 (define @t107 () (forall @t106 @t105)) % 0.40/0.64 (define @t108 () (= (tptp.a_select3 tptp.r_ds1_filter @t13 @t55) (tptp.a_select3 tptp.r_ds1_filter @t55 @t13))) % 0.40/0.64 (define @t109 () (tptp.leq @t55 tptp.n2)) % 0.40/0.64 (define @t110 () (tptp.leq @t13 tptp.n2)) % 0.40/0.64 (define @t111 () (tptp.leq tptp.n0 @t55)) % 0.40/0.64 (define @t112 () (tptp.leq tptp.n0 @t13)) % 0.40/0.64 (define @t113 () (and @t112 @t111 @t110 @t109)) % 0.40/0.64 (define @t114 () (forall (@list @t13 @t55) (=> @t113 @t108))) % 0.40/0.64 (define @t115 () (= (tptp.a_select3 tptp.q_ds1_filter @t27 @t42) (tptp.a_select3 tptp.q_ds1_filter @t42 @t27))) % 0.40/0.64 (define @t116 () (tptp.leq @t42 tptp.n5)) % 0.40/0.64 (define @t117 () (tptp.leq @t27 tptp.n5)) % 0.40/0.64 (define @t118 () (tptp.leq tptp.n0 @t42)) % 0.40/0.64 (define @t119 () (tptp.leq tptp.n0 @t27)) % 0.40/0.64 (define @t120 () (and @t119 @t118 @t117 @t116)) % 0.40/0.64 (define @t121 () (forall (@list @t27 @t42) (=> @t120 @t115))) % 0.40/0.64 (define @t122 () (and @t121 @t114)) % 0.40/0.64 (define @t123 () (=> @t122 @t107)) % 0.40/0.64 (define @t124 () (not @t123)) % 0.40/0.64 (define @t125 () (= @t2 tptp.n4)) % 0.40/0.64 (define @t126 () (= @t2 tptp.n3)) % 0.40/0.64 (define @t127 () (= @t2 tptp.n2)) % 0.40/0.64 (define @t128 () (= @t2 tptp.n1)) % 0.40/0.64 (define @t129 () (= @t2 tptp.n0)) % 0.40/0.64 (define @t130 () (tptp.succ tptp.n0)) % 0.40/0.64 (define @t131 () (tptp.succ @t130)) % 0.40/0.64 (define @t132 () (tptp.succ @t131)) % 0.40/0.64 (define @t133 () (tptp.succ @t132)) % 0.40/0.64 (define @t134 () (= tptp.n4 tptp.n5)) % 0.40/0.64 (define @t135 () (not @t134)) % 0.40/0.64 (define @t136 () (= tptp.n1 tptp.n5)) % 0.40/0.64 (define @t137 () (and @t134 @t136)) % 0.40/0.64 (define @t138 () (= tptp.n1 tptp.n4)) % 0.40/0.64 (define @t139 () (and @t138 @t134)) % 0.40/0.64 (define @t140 () (= tptp.n1 tptp.n3)) % 0.40/0.64 (define @t141 () (and @t140 @t134)) % 0.40/0.64 (define @t142 () (and (= tptp.n3 tptp.n4) @t136)) % 0.40/0.64 (define @t143 () (= tptp.n1 tptp.n2)) % 0.40/0.64 (define @t144 () (and @t143 @t134)) % 0.40/0.64 (define @t145 () (and (= tptp.n2 tptp.n4) @t136)) % 0.40/0.64 (define @t146 () (and @t138 @t136)) % 0.40/0.64 (define @t147 () (and (= tptp.n0 tptp.n4) @t136)) % 0.40/0.64 (define @t148 () (not (tptp.leq tptp.n4 tptp.n5))) % 0.40/0.64 (define @t149 () (not (tptp.leq tptp.n0 tptp.n4))) % 0.40/0.64 (define @t150 () (not @t138)) % 0.40/0.64 (define @t151 () (not (tptp.leq tptp.n1 tptp.n5))) % 0.40/0.64 (define @t152 () (not (tptp.leq tptp.n0 tptp.n1))) % 0.40/0.64 (define @t153 () (or @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t145 @t144 @t142 @t141 @t136 @t139 @t137 @t135)) % 0.40/0.64 (define @t154 () (or @t149 @t148 @t147 @t146 @t145 @t144 @t142 @t141 @t136 @t139 @t137 @t135)) % 0.40/0.64 (define @t155 () (= tptp.n4 tptp.n4)) % 0.40/0.64 (define @t156 () (not @t155)) % 0.40/0.64 (define @t157 () (and @t155 @t136)) % 0.40/0.64 (define @t158 () (and (= tptp.n4 tptp.n3) @t136)) % 0.40/0.64 (define @t159 () (and (= tptp.n4 tptp.n2) @t136)) % 0.40/0.64 (define @t160 () (and (= tptp.n4 tptp.n1) @t136)) % 0.40/0.64 (define @t161 () (or @t149 @t148 @t147 @t160 @t159 @t144 @t158 @t141 @t157 @t139 @t137 @t156 @t135)) % 0.40/0.64 (define @t162 () (= @t53 tptp.n5)) % 0.40/0.64 (define @t163 () (not @t162)) % 0.40/0.64 (define @t164 () (= @t53 tptp.n4)) % 0.40/0.64 (define @t165 () (not @t164)) % 0.40/0.64 (define @t166 () (and @t162 @t136)) % 0.40/0.64 (define @t167 () (and @t138 @t162)) % 0.40/0.64 (define @t168 () (and @t164 @t136)) % 0.40/0.64 (define @t169 () (and @t140 @t162)) % 0.40/0.64 (define @t170 () (= @t53 tptp.n3)) % 0.40/0.64 (define @t171 () (and @t170 @t136)) % 0.40/0.64 (define @t172 () (and @t143 @t162)) % 0.40/0.64 (define @t173 () (= @t53 tptp.n2)) % 0.40/0.64 (define @t174 () (and @t173 @t136)) % 0.40/0.64 (define @t175 () (= @t53 tptp.n1)) % 0.40/0.64 (define @t176 () (and @t175 @t136)) % 0.40/0.64 (define @t177 () (and @t95 @t136)) % 0.40/0.64 (define @t178 () (not @t101)) % 0.40/0.64 (define @t179 () (not @t103)) % 0.40/0.64 (define @t180 () (or @t165 @t179 @t178 @t177 @t176 @t174 @t172 @t171 @t169 @t168 @t167 @t166 @t165 @t163)) % 0.40/0.64 (define @t181 () (@list @t53)) % 0.40/0.64 (define @t182 () (or @t179 @t178 @t177 @t176 @t174 @t172 @t171 @t169 @t168 @t167 @t166 @t165 @t163)) % 0.40/0.64 (define @t183 () (forall @t181 @t182)) % 0.40/0.64 (define @t184 () (or @t152 @t151 @t150 @t183)) % 0.40/0.64 (define @t185 () (or @t152 @t151 @t150 @t182)) % 0.40/0.64 (define @t186 () (or @t179 @t178 @t152 @t151 @t177 @t176 @t174 @t172 @t171 @t169 @t168 @t167 @t166 @t165 @t150 @t163)) % 0.40/0.64 (define @t187 () (not (= tptp.n1 tptp.n1))) % 0.40/0.64 (define @t188 () (or @t179 @t178 @t152 @t151 @t177 @t176 @t174 @t172 @t171 @t169 @t168 @t167 @t166 @t187 @t165 @t150 @t163)) % 0.40/0.64 (define @t189 () (= @t54 tptp.n4)) % 0.40/0.64 (define @t190 () (not @t189)) % 0.40/0.64 (define @t191 () (= @t54 tptp.n1)) % 0.40/0.64 (define @t192 () (not @t191)) % 0.40/0.64 (define @t193 () (= @t54 tptp.n5)) % 0.40/0.64 (define @t194 () (and @t162 @t193)) % 0.40/0.64 (define @t195 () (and @t189 @t162)) % 0.40/0.64 (define @t196 () (and @t164 @t193)) % 0.40/0.64 (define @t197 () (and (= @t54 tptp.n3) @t162)) % 0.40/0.64 (define @t198 () (and @t170 @t193)) % 0.40/0.64 (define @t199 () (and (= @t54 tptp.n2) @t162)) % 0.40/0.64 (define @t200 () (and @t173 @t193)) % 0.40/0.64 (define @t201 () (and @t175 @t193)) % 0.40/0.64 (define @t202 () (and @t95 @t193)) % 0.40/0.64 (define @t203 () (not @t100)) % 0.40/0.64 (define @t204 () (not @t102)) % 0.40/0.64 (define @t205 () (or @t192 @t179 @t178 @t204 @t203 @t202 @t201 @t200 @t199 @t198 @t197 @t196 @t195 @t194 @t192 @t165 @t190 @t163)) % 0.40/0.64 (define @t206 () (@list @t54)) % 0.40/0.64 (define @t207 () (or @t179 @t178 @t204 @t203 @t202 @t201 @t200 @t199 @t198 @t197 @t196 @t195 @t194 @t192 @t165 @t190 @t163)) % 0.40/0.64 (define @t208 () (forall @t206 @t207)) % 0.40/0.64 (define @t209 () (forall @t181 @t208)) % 0.40/0.64 (define @t210 () (forall @t106 @t207)) % 0.40/0.64 (define @t211 () (or @t74 @t210)) % 0.40/0.64 (define @t212 () (or @t74 @t207)) % 0.40/0.64 (define @t213 () (or @t179 @t204 @t178 @t203 @t202 @t201 @t200 @t199 @t198 @t197 @t196 @t195 @t194 @t192 @t165 @t190 @t163 @t74)) % 0.40/0.64 (define @t214 () (or @t202 @t201 @t200 @t199 @t198 @t197 @t196 @t195 @t194 @t192 @t165 @t190 @t163 @t74)) % 0.40/0.64 (define @t215 () (or @t179 @t204 @t178 @t203)) % 0.40/0.64 (define @t216 () (not @t194)) % 0.40/0.64 (define @t217 () (not @t216)) % 0.40/0.64 (define @t218 () (not @t195)) % 0.40/0.64 (define @t219 () (not @t218)) % 0.40/0.64 (define @t220 () (not @t196)) % 0.40/0.64 (define @t221 () (not @t220)) % 0.40/0.64 (define @t222 () (not @t197)) % 0.40/0.64 (define @t223 () (not @t222)) % 0.40/0.64 (define @t224 () (not @t198)) % 0.40/0.64 (define @t225 () (not @t224)) % 0.40/0.64 (define @t226 () (not @t199)) % 0.40/0.64 (define @t227 () (not @t226)) % 0.40/0.64 (define @t228 () (not @t200)) % 0.40/0.64 (define @t229 () (not @t228)) % 0.40/0.64 (define @t230 () (not @t201)) % 0.40/0.64 (define @t231 () (not @t230)) % 0.40/0.64 (define @t232 () (not @t202)) % 0.40/0.64 (define @t233 () (not @t232)) % 0.40/0.64 (define @t234 () (or @t233 @t231 @t229 @t227 @t225 @t223 @t221 @t219 @t217 @t192 @t165 @t190 @t163)) % 0.40/0.64 (define @t235 () (and @t232 @t230 @t228 @t226 @t224 @t222 @t220 @t218 @t216 @t191 @t164 @t189 @t162)) % 0.40/0.64 (define @t236 () (=> @t235 @t74)) % 0.40/0.64 (define @t237 () (not @t109)) % 0.40/0.64 (define @t238 () (not @t110)) % 0.40/0.64 (define @t239 () (not @t111)) % 0.40/0.64 (define @t240 () (not @t112)) % 0.40/0.64 (define @t241 () (or @t240 @t239 @t238 @t237)) % 0.40/0.64 (define @t242 () (not @t116)) % 0.40/0.64 (define @t243 () (not @t117)) % 0.40/0.64 (define @t244 () (not @t118)) % 0.40/0.64 (define @t245 () (not @t119)) % 0.40/0.64 (define @t246 () (or @t245 @t244 @t243 @t242)) % 0.40/0.64 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.40/0.64 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.40/0.64 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.40/0.64 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.40/0.64 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.40/0.64 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.40/0.64 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.40/0.64 (assume @p8 (forall @t6 (=> @t4 @t10))) % 0.40/0.64 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.40/0.64 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.40/0.64 (assume @p11 (forall @t9 (tptp.gt @t11 @t2))) % 0.40/0.64 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t12)))) % 0.40/0.64 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t12 @t2)))) % 0.40/0.64 (assume @p14 (forall @t16 (=> @t15 (tptp.leq @t14 @t2)))) % 0.40/0.64 (assume @p15 (forall @t16 (=> @t15 (tptp.leq tptp.n0 @t14)))) % 0.40/0.64 (assume @p16 (forall (@list @t18 @t20 @t19 @t17) (=> (and (tptp.leq @t20 @t18) @t21) (= (tptp.a_select2 (tptp.tptp_const_array1 (tptp.dim @t20 @t19) @t17) @t18) @t17)))) % 0.40/0.64 (assume @p17 (forall (@list @t18 @t26 @t25 @t22 @t24 @t23 @t17) (=> (and (tptp.leq @t26 @t18) (tptp.leq @t18 @t25) (tptp.leq @t24 @t22) (tptp.leq @t22 @t23)) (= (tptp.a_select3 (tptp.tptp_const_array2 (tptp.dim @t26 @t25) (tptp.dim @t24 @t23) @t17) @t18 @t22) @t17)))) % 0.40/0.64 (assume @p18 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t28 @t18 @t22) (tptp.a_select3 @t28 @t22 @t18))))))) % 0.40/0.64 (assume @p19 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t38 @t18 @t22) (tptp.a_select3 @t38 @t22 @t18))))))) % 0.40/0.64 (assume @p20 (forall @t37 (=> @t36 (forall (@list @t18 @t22 @t40 @t39) (=> (and @t33 @t32 @t31 @t30 (tptp.leq tptp.n0 @t40) (tptp.leq @t40 @t29)) (= (tptp.a_select3 @t41 @t18 @t22) (tptp.a_select3 @t41 @t22 @t18))))))) % 0.40/0.64 (assume @p21 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t43 @t18 @t22) (tptp.a_select3 @t43 @t22 @t18))))))) % 0.40/0.64 (assume @p22 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t48 @t18 @t22) (tptp.a_select3 @t48 @t22 @t18))))))) % 0.40/0.64 (assume @p23 (forall @t47 (=> @t45 @t50))) % 0.40/0.64 (assume @p24 (forall (@list @t27 @t42 @t29 @t51) (=> (forall @t35 (=> @t52 @t44)) @t50))) % 0.40/0.64 (assume @p25 (forall (@list @t27 @t42 @t13 @t55 @t53 @t54 @t29 @t51) (=> (and (forall @t35 (=> @t52 (= (tptp.a_select3 @t55 @t18 @t22) (tptp.a_select3 @t55 @t22 @t18)))) @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t54 @t18 @t22) (tptp.a_select3 @t54 @t22 @t18))))) (forall @t35 (=> @t34 (= (tptp.a_select3 @t56 @t18 @t22) (tptp.a_select3 @t56 @t22 @t18))))))) % 0.40/0.64 (assume @p26 (forall @t59 (= @t58 tptp.n0))) % 0.40/0.64 (assume @p27 (forall @t59 (= tptp.tptp_float_0_0 @t58))) % 0.40/0.64 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.40/0.64 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t11))) % 0.40/0.64 (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t11))) % 0.40/0.64 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t60))) % 0.40/0.64 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t60))) % 0.40/0.64 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t61))) % 0.40/0.64 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t61))) % 0.40/0.64 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t62))) % 0.40/0.64 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t62))) % 0.40/0.64 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t63))) % 0.40/0.64 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t63))) % 0.40/0.64 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t64))) % 0.40/0.64 (assume @p40 (forall @t9 (= (tptp.pred @t11) @t2))) % 0.40/0.64 (assume @p41 (forall @t9 (= (tptp.succ @t64) @t2))) % 0.40/0.64 (assume @p42 (forall @t6 (= (tptp.leq @t11 @t12) @t10))) % 0.40/0.64 (assume @p43 (forall @t6 (=> (tptp.leq @t11 @t1) @t4))) % 0.40/0.64 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.40/0.64 (assume @p45 (forall (@list @t2 @t19 @t65 @t39) (= (tptp.a_select3 @t66 @t19 @t65) @t39))) % 0.40/0.64 (assume @p46 (forall (@list @t18 @t22 @t19 @t65 @t2 @t39 @t67) (=> (and @t68 (= @t22 @t65) (= (tptp.a_select3 @t2 @t19 @t65) @t39)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t18 @t22 @t67) @t19 @t65) @t39)))) % 0.40/0.64 (assume @p47 (forall (@list @t18 @t22 @t19 @t65 @t2 @t39) (=> (and (forall (@list @t70 @t69) (=> (and @t72 (tptp.leq tptp.n0 @t69) @t71 (tptp.leq @t69 @t65)) (= (tptp.a_select3 @t2 @t70 @t69) @t39))) @t33 @t21 @t31 (tptp.leq @t22 @t65)) (= (tptp.a_select3 @t66 @t18 @t22) @t39)))) % 0.40/0.64 (assume @p48 (forall (@list @t2 @t19 @t39) (= (tptp.a_select2 @t73 @t19) @t39))) % 0.40/0.64 (assume @p49 (forall (@list @t18 @t19 @t2 @t39 @t67) (=> (and @t68 (= (tptp.a_select2 @t2 @t19) @t39)) (= (tptp.a_select2 (tptp.tptp_update2 @t2 @t18 @t67) @t19) @t39)))) % 0.40/0.64 (assume @p50 (forall (@list @t18 @t19 @t2 @t39) (=> (and (forall (@list @t70) (=> (and @t72 @t71) (= (tptp.a_select2 @t2 @t70) @t39))) @t33 @t21) (= (tptp.a_select2 @t73 @t18) @t39)))) % 0.40/0.64 (assume @p51 tptp.true) % 0.40/0.64 (assume @p52 (not (= tptp.def tptp.use))) % 0.40/0.64 (assume @p53 @t124) % 0.40/0.64 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.40/0.64 (assume @p55 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.40/0.64 (assume @p56 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.40/0.64 (assume @p57 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.40/0.64 (assume @p58 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.40/0.64 (assume @p59 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.40/0.64 (assume @p60 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.40/0.64 (assume @p61 (tptp.gt tptp.n4 tptp.n0)) % 0.40/0.64 (assume @p62 (tptp.gt tptp.n5 tptp.n0)) % 0.40/0.64 (assume @p63 (tptp.gt tptp.n1 tptp.n0)) % 0.40/0.64 (assume @p64 (tptp.gt tptp.n2 tptp.n0)) % 0.40/0.64 (assume @p65 (tptp.gt tptp.n3 tptp.n0)) % 0.40/0.64 (assume @p66 (tptp.gt tptp.n4 tptp.n1)) % 0.40/0.64 (assume @p67 (tptp.gt tptp.n5 tptp.n1)) % 0.40/0.64 (assume @p68 (tptp.gt tptp.n2 tptp.n1)) % 0.40/0.64 (assume @p69 (tptp.gt tptp.n3 tptp.n1)) % 0.40/0.64 (assume @p70 (tptp.gt tptp.n4 tptp.n2)) % 0.40/0.64 (assume @p71 (tptp.gt tptp.n5 tptp.n2)) % 0.40/0.64 (assume @p72 (tptp.gt tptp.n3 tptp.n2)) % 0.40/0.64 (assume @p73 (tptp.gt tptp.n4 tptp.n3)) % 0.40/0.64 (assume @p74 (tptp.gt tptp.n5 tptp.n3)) % 0.40/0.64 (assume @p75 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n4)) (or @t129 @t128 @t127 @t126 @t125)))) % 0.40/0.64 (assume @p76 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n5)) (or @t129 @t128 @t127 @t126 @t125 (= @t2 tptp.n5))))) % 0.40/0.64 (assume @p77 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n0)) @t129))) % 0.40/0.64 (assume @p78 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n1)) (or @t129 @t128)))) % 0.40/0.64 (assume @p79 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n2)) (or @t129 @t128 @t127)))) % 0.40/0.64 (assume @p80 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n3)) (or @t129 @t128 @t127 @t126)))) % 0.40/0.64 (assume @p81 (= @t133 tptp.n4)) % 0.40/0.64 (assume @p82 (= (tptp.succ @t133) tptp.n5)) % 0.40/0.64 (assume @p83 (= @t130 tptp.n1)) % 0.40/0.64 (assume @p84 (= @t131 tptp.n2)) % 0.40/0.64 (assume @p85 (= @t132 tptp.n3)) % 0.40/0.64 (assume @p86 true) % 0.40/0.64 (step @p87 :rule aci_norm :args ((= (or @t74 @t153) (or @t74 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t145 @t144 @t142 @t141 @t136 @t139 @t137 @t135)))) % 0.40/0.64 (step @p88 :rule aci_norm :args ((= (or @t152 @t151 @t150 @t154) @t153))) % 0.40/0.64 (step @p89 :rule aci_norm :args ((= (or @t149 @t148 @t147 @t146 @t145 @t144 @t142 @t141 @t136 @t139 @t137 false @t135) @t154))) % 0.40/0.64 (step @p90 :rule refl :args (@t135)) % 0.40/0.64 (step @p91 :rule evaluate :args ((not true))) % 0.40/0.64 (step @p92 :rule eq-refl :args (tptp.n4)) % 0.40/0.64 (step @p93 :rule cong :premises (@p92) :args (@t156)) % 0.40/0.64 (step @p94 :rule trans :premises (@p93 @p91)) % 0.40/0.64 (step @p95 :rule refl :args (@t137)) % 0.40/0.64 (step @p96 :rule refl :args (@t139)) % 0.40/0.64 (step @p97 :rule aci_norm :args ((= (and true @t136) @t136))) % 0.40/0.64 (step @p98 :rule refl :args (@t136)) % 0.40/0.64 (step @p99 :rule nary_cong :premises (@p92 @p98) :args (@t157)) % 0.40/0.64 (step @p100 :rule trans :premises (@p99 @p97)) % 0.40/0.64 (step @p101 :rule refl :args (@t141)) % 0.40/0.64 (step @p102 :rule eq-symm :args (tptp.n4 tptp.n3)) % 0.40/0.64 (step @p103 :rule nary_cong :premises (@p102 @p98) :args (@t158)) % 0.40/0.64 (step @p104 :rule refl :args (@t144)) % 0.40/0.64 (step @p105 :rule eq-symm :args (tptp.n4 tptp.n2)) % 0.40/0.64 (step @p106 :rule nary_cong :premises (@p105 @p98) :args (@t159)) % 0.40/0.64 (step @p107 :rule eq-symm :args (tptp.n4 tptp.n1)) % 0.40/0.64 (step @p108 :rule nary_cong :premises (@p107 @p98) :args (@t160)) % 0.40/0.64 (step @p109 :rule refl :args (@t147)) % 0.40/0.64 (step @p110 :rule refl :args (@t148)) % 0.40/0.64 (step @p111 :rule refl :args (@t149)) % 0.40/0.64 (step @p112 :rule nary_cong :premises (@p111 @p110 @p109 @p108 @p106 @p104 @p103 @p101 @p100 @p96 @p95 @p94 @p90) :args (@t161)) % 0.40/0.64 (step @p113 :rule trans :premises (@p112 @p89)) % 0.40/0.64 (step @p114 :rule quant-var-elim-eq :args ((= (forall @t181 @t180) @t161))) % 0.40/0.64 (step @p115 :rule aci_norm :args ((= @t182 @t180))) % 0.40/0.64 (step @p116 :rule cong :premises (@p115) :args (@t183)) % 0.40/0.64 (step @p117 :rule trans :premises (@p116 @p114)) % 0.40/0.64 (step @p118 :rule trans :premises (@p117 @p113)) % 0.40/0.64 (step @p119 :rule refl :args (@t150)) % 0.40/0.64 (step @p120 :rule refl :args (@t151)) % 0.40/0.64 (step @p121 :rule refl :args (@t152)) % 0.40/0.64 (step @p122 :rule nary_cong :premises (@p121 @p120 @p119 @p118) :args (@t184)) % 0.40/0.64 (step @p123 :rule trans :premises (@p122 @p88)) % 0.40/0.64 (step @p124 :rule quant-miniscope-or :args ((= (forall @t181 @t185) @t184))) % 0.40/0.64 (step @p125 :rule aci_norm :args ((= @t186 @t185))) % 0.40/0.64 (step @p126 :rule cong :premises (@p125) :args ((forall @t181 @t186))) % 0.40/0.64 (step @p127 :rule trans :premises (@p126 @p124)) % 0.40/0.64 (step @p128 :rule trans :premises (@p127 @p123)) % 0.40/0.64 (step @p129 :rule aci_norm :args ((= (or @t179 @t178 @t152 @t151 @t177 @t176 @t174 @t172 @t171 @t169 @t168 @t167 @t166 false @t165 @t150 @t163) @t186))) % 0.40/0.64 (step @p130 :rule refl :args (@t163)) % 0.40/0.64 (step @p131 :rule refl :args (@t165)) % 0.40/0.64 (step @p132 :rule eq-refl :args (tptp.n1)) % 0.40/0.64 (step @p133 :rule cong :premises (@p132) :args (@t187)) % 0.40/0.64 (step @p134 :rule trans :premises (@p133 @p91)) % 0.40/0.64 (step @p135 :rule refl :args (@t166)) % 0.40/0.64 (step @p136 :rule refl :args (@t167)) % 0.40/0.64 (step @p137 :rule refl :args (@t168)) % 0.40/0.64 (step @p138 :rule refl :args (@t169)) % 0.40/0.64 (step @p139 :rule refl :args (@t171)) % 0.40/0.64 (step @p140 :rule refl :args (@t172)) % 0.40/0.64 (step @p141 :rule refl :args (@t174)) % 0.40/0.64 (step @p142 :rule refl :args (@t176)) % 0.40/0.64 (step @p143 :rule refl :args (@t177)) % 0.40/0.64 (step @p144 :rule refl :args (@t178)) % 0.40/0.64 (step @p145 :rule refl :args (@t179)) % 0.40/0.64 (step @p146 :rule nary_cong :premises (@p145 @p144 @p121 @p120 @p143 @p142 @p141 @p140 @p139 @p138 @p137 @p136 @p135 @p134 @p131 @p119 @p130) :args (@t188)) % 0.40/0.64 (step @p147 :rule trans :premises (@p146 @p129)) % 0.40/0.64 (step @p148 :rule cong :premises (@p147) :args ((forall @t181 @t188))) % 0.40/0.64 (step @p149 :rule trans :premises (@p148 @p128)) % 0.40/0.64 (step @p150 :rule quant-var-elim-eq :args ((= (forall @t206 @t205) @t188))) % 0.40/0.64 (step @p151 :rule aci_norm :args ((= @t207 @t205))) % 0.40/0.64 (step @p152 :rule cong 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:args ((= (or @t215 @t214) @t213))) % 0.40/0.64 (step @p168 :rule aci_norm :args ((= (or (or @t202 @t201 @t200 @t199 @t198 @t197 @t196 @t195 @t194 @t192 @t165 @t190 @t163) @t74) @t214))) % 0.40/0.64 (step @p169 :rule refl :args (@t74)) % 0.40/0.64 (step @p170 :rule refl :args (@t163)) % 0.40/0.64 (step @p171 :rule refl :args (@t190)) % 0.40/0.64 (step @p172 :rule refl :args (@t165)) % 0.40/0.64 (step @p173 :rule refl :args (@t192)) % 0.40/0.64 (step @p174 :rule bool-double-not-elim :args (@t194)) % 0.40/0.64 (step @p175 :rule bool-double-not-elim :args (@t195)) % 0.40/0.64 (step @p176 :rule bool-double-not-elim :args (@t196)) % 0.40/0.64 (step @p177 :rule bool-double-not-elim :args (@t197)) % 0.40/0.64 (step @p178 :rule bool-double-not-elim :args (@t198)) % 0.40/0.64 (step @p179 :rule bool-double-not-elim :args (@t199)) % 0.40/0.64 (step @p180 :rule bool-double-not-elim :args (@t200)) % 0.40/0.64 (step @p181 :rule bool-double-not-elim :args (@t201)) % 0.40/0.64 (step @p182 :rule bool-double-not-elim :args (@t202)) % 0.40/0.64 (step @p183 :rule nary_cong :premises (@p182 @p181 @p180 @p179 @p178 @p177 @p176 @p175 @p174 @p173 @p172 @p171 @p170) :args (@t234)) % 0.40/0.64 (step @p184 :rule aci_norm :args ((= (or @t233 (or @t231 (or @t229 (or @t227 (or @t225 (or @t223 (or @t221 (or @t219 (or @t217 (or @t192 (or @t165 (or @t190 @t163)))))))))))) @t234))) % 0.40/0.64 (step @p185 :rule trans :premises (@p184 @p183)) % 0.40/0.64 (step @p186 :rule bool-and-de-morgan :args (@t189 @t162 true)) % 0.40/0.64 (step @p187 :rule nary_cong :premises (@p172 @p186) :args ((or @t165 @t218))) % 0.40/0.64 (step @p188 :rule bool-and-de-morgan :args (@t164 @t189 (and @t162))) % 0.40/0.64 (step @p189 :rule trans :premises (@p188 @p187)) % 0.40/0.64 (step @p190 :rule nary_cong :premises (@p173 @p189) :args ((or @t192 (not (and @t164 @t189 @t162))))) % 0.40/0.64 (step @p191 :rule bool-and-de-morgan :args (@t191 @t164 (and @t189 @t162))) % 0.40/0.64 (step @p192 :rule trans :premises (@p191 @p190)) % 0.40/0.64 (step @p193 :rule refl :args (@t217)) % 0.40/0.64 (step @p194 :rule nary_cong :premises (@p193 @p192) :args ((or @t217 (not (and @t191 @t164 @t189 @t162))))) % 0.40/0.64 (step @p195 :rule bool-and-de-morgan :args (@t216 @t191 (and @t164 @t189 @t162))) % 0.40/0.64 (step @p196 :rule trans :premises (@p195 @p194)) % 0.40/0.64 (step @p197 :rule refl :args (@t219)) % 0.40/0.64 (step @p198 :rule nary_cong :premises (@p197 @p196) :args ((or @t219 (not (and @t216 @t191 @t164 @t189 @t162))))) % 0.40/0.64 (step @p199 :rule bool-and-de-morgan :args (@t218 @t216 (and @t191 @t164 @t189 @t162))) % 0.40/0.64 (step @p200 :rule trans :premises (@p199 @p198)) % 0.40/0.64 (step @p201 :rule refl :args (@t221)) % 0.40/0.64 (step @p202 :rule nary_cong :premises (@p201 @p200) :args ((or @t221 (not (and @t218 @t216 @t191 @t164 @t189 @t162))))) % 0.40/0.64 (step @p203 :rule bool-and-de-morgan :args (@t220 @t218 (and @t216 @t191 @t164 @t189 @t162))) % 0.40/0.64 (step @p204 :rule trans :premises (@p203 @p202)) % 0.40/0.64 (step @p205 :rule refl :args (@t223)) % 0.40/0.64 (step @p206 :rule nary_cong :premises (@p205 @p204) :args ((or @t223 (not (and @t220 @t218 @t216 @t191 @t164 @t189 @t162))))) % 0.40/0.64 (step @p207 :rule bool-and-de-morgan :args (@t222 @t220 (and @t218 @t216 @t191 @t164 @t189 @t162))) % 0.40/0.64 (step @p208 :rule trans :premises (@p207 @p206)) % 0.40/0.64 (step @p209 :rule refl :args (@t225)) % 0.40/0.64 (step @p210 :rule nary_cong :premises (@p209 @p208) :args ((or @t225 (not (and @t222 @t220 @t218 @t216 @t191 @t164 @t189 @t162))))) % 0.40/0.64 (step @p211 :rule bool-and-de-morgan :args (@t224 @t222 (and @t220 @t218 @t216 @t191 @t164 @t189 @t162))) % 0.40/0.64 (step @p212 :rule trans :premises (@p211 @p210)) % 0.40/0.64 (step @p213 :rule refl :args (@t227)) % 0.40/0.64 (step @p214 :rule nary_cong :premises (@p213 @p212) :args ((or @t227 (not (and @t224 @t222 @t220 @t218 @t216 @t191 @t164 @t189 @t162))))) % 0.40/0.64 (step @p215 :rule bool-and-de-morgan :args (@t226 @t224 (and @t222 @t220 @t218 @t216 @t191 @t164 @t189 @t162))) % 0.40/0.64 (step @p216 :rule trans :premises (@p215 @p214)) % 0.40/0.64 (step @p217 :rule refl :args (@t229)) % 0.40/0.64 (step @p218 :rule nary_cong :premises (@p217 @p216) :args ((or @t229 (not (and @t226 @t224 @t222 @t220 @t218 @t216 @t191 @t164 @t189 @t162))))) % 0.40/0.65 (step @p219 :rule bool-and-de-morgan :args (@t228 @t226 (and @t224 @t222 @t220 @t218 @t216 @t191 @t164 @t189 @t162))) % 0.40/0.65 (step @p220 :rule trans :premises (@p219 @p218)) % 0.40/0.65 (step @p221 :rule refl :args (@t231)) % 0.40/0.65 (step @p222 :rule nary_cong :premises (@p221 @p220) :args ((or @t231 (not (and @t228 @t226 @t224 @t222 @t220 @t218 @t216 @t191 @t164 @t189 @t162))))) % 0.40/0.65 (step @p223 :rule bool-and-de-morgan :args (@t230 @t228 (and @t226 @t224 @t222 @t220 @t218 @t216 @t191 @t164 @t189 @t162))) % 0.40/0.65 (step @p224 :rule trans :premises (@p223 @p222)) % 0.40/0.65 (step @p225 :rule refl :args (@t233)) % 0.40/0.65 (step @p226 :rule nary_cong :premises (@p225 @p224) :args ((or @t233 (not (and @t230 @t228 @t226 @t224 @t222 @t220 @t218 @t216 @t191 @t164 @t189 @t162))))) % 0.40/0.65 (step @p227 :rule bool-and-de-morgan :args (@t232 @t230 (and @t228 @t226 @t224 @t222 @t220 @t218 @t216 @t191 @t164 @t189 @t162))) % 0.40/0.65 (step @p228 :rule trans :premises (@p227 @p226)) % 0.40/0.65 (step @p229 :rule trans :premises (@p228 @p185)) % 0.40/0.65 (step @p230 :rule nary_cong :premises (@p229 @p169) :args ((or (not @t235) @t74))) % 0.40/0.65 (step @p231 :rule trans :premises (@p230 @p168)) % 0.40/0.65 (step @p232 :rule bool-impl-elim :args (@t235 @t74)) % 0.40/0.65 (step @p233 :rule trans :premises (@p232 @p231)) % 0.40/0.65 (step @p234 :rule aci_norm :args ((= (or @t179 (or @t204 (or @t178 @t203))) @t215))) % 0.40/0.65 (step @p235 :rule bool-and-de-morgan :args (@t101 @t100 true)) % 0.40/0.65 (step @p236 :rule refl :args (@t204)) % 0.40/0.65 (step @p237 :rule nary_cong :premises (@p236 @p235) :args ((or @t204 (not (and @t101 @t100))))) % 0.40/0.65 (step @p238 :rule bool-and-de-morgan :args (@t102 @t101 (and @t100))) % 0.40/0.65 (step @p239 :rule trans :premises (@p238 @p237)) % 0.40/0.65 (step @p240 :rule refl :args (@t179)) % 0.40/0.65 (step @p241 :rule nary_cong :premises (@p240 @p239) :args ((or @t179 (not (and @t102 @t101 @t100))))) % 0.40/0.65 (step @p242 :rule bool-and-de-morgan :args (@t103 @t102 (and @t101 @t100))) % 0.40/0.65 (step @p243 :rule trans :premises (@p242 @p241)) % 0.40/0.65 (step @p244 :rule trans :premises (@p243 @p234)) % 0.40/0.65 (step @p245 :rule nary_cong :premises (@p244 @p233) :args ((or (not @t104) @t236))) % 0.40/0.65 (step @p246 :rule trans :premises (@p245 @p167)) % 0.40/0.65 (step @p247 :rule bool-impl-elim :args (@t104 @t236)) % 0.40/0.65 (step @p248 :rule trans :premises (@p247 @p246)) % 0.40/0.65 (step @p249 :rule cong :premises (@p248) :args ((forall @t106 (=> @t104 @t236)))) % 0.40/0.65 (step @p250 :rule trans :premises (@p249 @p166)) % 0.40/0.65 (step @p251 :rule eq-symm :args (tptp.n5 @t53)) % 0.40/0.65 (step @p252 :rule eq-symm :args (tptp.n4 @t54)) % 0.40/0.65 (step @p253 :rule eq-symm :args (tptp.n4 @t53)) % 0.40/0.65 (step @p254 :rule eq-symm :args (tptp.n1 @t54)) % 0.40/0.65 (step @p255 :rule eq-symm :args (tptp.n5 @t54)) % 0.40/0.65 (step @p256 :rule nary_cong :premises (@p251 @p255) :args (@t79)) % 0.40/0.65 (step @p257 :rule cong :premises (@p256) :args (@t80)) % 0.40/0.65 (step @p258 :rule nary_cong :premises (@p252 @p251) :args (@t81)) % 0.40/0.65 (step @p259 :rule cong :premises (@p258) :args (@t82)) % 0.40/0.65 (step @p260 :rule nary_cong :premises (@p253 @p255) :args (@t83)) % 0.40/0.65 (step @p261 :rule cong :premises (@p260) :args (@t84)) % 0.40/0.65 (step @p262 :rule eq-symm :args (tptp.n3 @t54)) % 0.40/0.65 (step @p263 :rule nary_cong :premises (@p262 @p251) :args (@t85)) % 0.40/0.65 (step @p264 :rule cong :premises (@p263) :args (@t86)) % 0.40/0.65 (step @p265 :rule eq-symm :args (tptp.n3 @t53)) % 0.40/0.65 (step @p266 :rule nary_cong :premises (@p265 @p255) :args (@t87)) % 0.40/0.65 (step @p267 :rule cong :premises (@p266) :args (@t88)) % 0.40/0.65 (step @p268 :rule eq-symm :args (tptp.n2 @t54)) % 0.40/0.65 (step @p269 :rule nary_cong :premises (@p268 @p251) :args (@t89)) % 0.40/0.65 (step @p270 :rule cong :premises (@p269) :args (@t90)) % 0.40/0.65 (step @p271 :rule eq-symm :args (tptp.n2 @t53)) % 0.40/0.65 (step @p272 :rule nary_cong :premises (@p271 @p255) :args (@t91)) % 0.40/0.65 (step @p273 :rule cong :premises (@p272) :args (@t92)) % 0.40/0.65 (step @p274 :rule eq-symm :args (tptp.n1 @t53)) % 0.40/0.65 (step @p275 :rule nary_cong :premises (@p274 @p255) :args (@t93)) % 0.40/0.65 (step @p276 :rule cong :premises (@p275) :args (@t94)) % 0.40/0.65 (step @p277 :rule refl :args (@t95)) % 0.40/0.65 (step @p278 :rule nary_cong :premises (@p277 @p255) :args (@t96)) % 0.40/0.65 (step @p279 :rule cong :premises (@p278) :args (@t97)) % 0.40/0.65 (step @p280 :rule nary_cong :premises (@p279 @p276 @p273 @p270 @p267 @p264 @p261 @p259 @p257 @p254 @p253 @p252 @p251) :args (@t98)) % 0.40/0.65 (step @p281 :rule cong :premises (@p280 @p159) :args (@t99)) % 0.40/0.65 (step @p282 :rule refl :args (@t104)) % 0.40/0.65 (step @p283 :rule cong :premises (@p282 @p281) :args (@t105)) % 0.40/0.65 (step @p284 :rule cong :premises (@p283) :args (@t107)) % 0.40/0.65 (step @p285 :rule trans :premises (@p284 @p250)) % 0.40/0.65 (step @p286 :rule aci_norm :args ((= (or @t241 @t108) (or @t240 @t239 @t238 @t237 @t108)))) % 0.40/0.65 (step @p287 :rule refl :args (@t108)) % 0.40/0.65 (step @p288 :rule aci_norm :args ((= (or @t240 (or @t239 (or @t238 @t237))) @t241))) % 0.40/0.65 (step @p289 :rule bool-and-de-morgan :args (@t110 @t109 true)) % 0.40/0.65 (step @p290 :rule refl :args (@t239)) % 0.40/0.65 (step @p291 :rule nary_cong :premises (@p290 @p289) :args ((or @t239 (not (and @t110 @t109))))) % 0.40/0.65 (step @p292 :rule bool-and-de-morgan :args (@t111 @t110 (and @t109))) % 0.40/0.65 (step @p293 :rule trans :premises (@p292 @p291)) % 0.40/0.65 (step @p294 :rule refl :args (@t240)) % 0.40/0.65 (step @p295 :rule nary_cong :premises (@p294 @p293) :args ((or @t240 (not (and @t111 @t110 @t109))))) % 0.40/0.65 (step @p296 :rule bool-and-de-morgan :args (@t112 @t111 (and @t110 @t109))) % 0.40/0.65 (step @p297 :rule trans :premises (@p296 @p295)) % 0.40/0.65 (step @p298 :rule trans :premises (@p297 @p288)) % 0.40/0.65 (step @p299 :rule nary_cong :premises (@p298 @p287) :args ((or (not @t113) @t108))) % 0.40/0.65 (step @p300 :rule trans :premises (@p299 @p286)) % 0.40/0.65 (step @p301 :rule bool-impl-elim :args (@t113 @t108)) % 0.40/0.65 (step @p302 :rule trans :premises (@p301 @p300)) % 0.40/0.65 (step @p303 :rule cong :premises (@p302) :args (@t114)) % 0.40/0.65 (step @p304 :rule aci_norm :args ((= (or @t246 @t115) (or @t245 @t244 @t243 @t242 @t115)))) % 0.40/0.65 (step @p305 :rule refl :args (@t115)) % 0.40/0.65 (step @p306 :rule aci_norm :args ((= (or @t245 (or @t244 (or @t243 @t242))) @t246))) % 0.40/0.65 (step @p307 :rule bool-and-de-morgan :args (@t117 @t116 true)) % 0.40/0.65 (step @p308 :rule refl :args (@t244)) % 0.40/0.65 (step @p309 :rule nary_cong :premises (@p308 @p307) :args ((or @t244 (not (and @t117 @t116))))) % 0.40/0.65 (step @p310 :rule bool-and-de-morgan :args (@t118 @t117 (and @t116))) % 0.40/0.65 (step @p311 :rule trans :premises (@p310 @p309)) % 0.40/0.65 (step @p312 :rule refl :args (@t245)) % 0.40/0.65 (step @p313 :rule nary_cong :premises (@p312 @p311) :args ((or @t245 (not (and @t118 @t117 @t116))))) % 0.40/0.65 (step @p314 :rule bool-and-de-morgan :args (@t119 @t118 (and @t117 @t116))) % 0.40/0.65 (step @p315 :rule trans :premises (@p314 @p313)) % 0.40/0.65 (step @p316 :rule trans :premises (@p315 @p306)) % 0.40/0.65 (step @p317 :rule nary_cong :premises (@p316 @p305) :args ((or (not @t120) @t115))) % 0.40/0.65 (step @p318 :rule trans :premises (@p317 @p304)) % 0.40/0.65 (step @p319 :rule bool-impl-elim :args (@t120 @t115)) % 0.40/0.65 (step @p320 :rule trans :premises (@p319 @p318)) % 0.40/0.65 (step @p321 :rule cong :premises (@p320) :args (@t121)) % 0.40/0.65 (step @p322 :rule nary_cong :premises (@p321 @p303) :args (@t122)) % 0.40/0.65 (step @p323 :rule cong :premises (@p322 @p285) :args (@t123)) % 0.40/0.65 (step @p324 :rule cong :premises (@p323) :args (@t124)) % 0.40/0.65 (step @p325 :rule eq_resolve :premises (@p53 @p324)) % 0.40/0.65 (step @p326 :rule not_implies_elim2 :premises (@p325)) % 0.40/0.65 (step @p327 :rule not_or_elim :premises (@p326) :args (3)) % 0.40/0.65 (step @p328 :rule not_not_elim :premises (@p327)) % 0.40/0.65 (step @p329 :rule not_or_elim :premises (@p326) :args (13)) % 0.40/0.65 (step @p330 :rule not_and :premises (@p329)) % 0.40/0.65 (step @p331 :rule chain_m_resolution :premises (@p330 @p328) :args (@t135 (@list false) (@list @t138))) % 0.40/0.65 (step @p332 :rule not_or_elim :premises (@p326) :args (15)) % 0.40/0.65 (step @p333 :rule not_not_elim :premises (@p332)) % 0.40/0.65 (step @p334 false :rule chain_m_resolution :premises (@p333 @p331) :args (false (@list true) (@list @t134))) % 0.40/0.65 ) % 0.40/0.65 % SZS output end Proof % 0.40/0.65 % cvc5 exiting %------------------------------------------------------------------------------