%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV194+1 : TPTP v9.2.1. Bugfixed v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 09:00:42 AM UTC 2026 % Result : Theorem 0.15s 0.42s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWV194+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 19:58:48 EDT 2026 % 0.08/0.25 % CPUTime : % 0.15/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.42 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.42 % SZS status Theorem % 0.15/0.42 % SZS output start Proof % 0.15/0.42 ( % 0.15/0.42 (declare-sort $$unsorted 0) % 0.15/0.42 (declare-const tptp.rho_defuse $$unsorted) % 0.15/0.42 (declare-const tptp.xinit_defuse $$unsorted) % 0.15/0.42 (declare-const tptp.xinit_mean_defuse $$unsorted) % 0.15/0.42 (declare-const tptp.n998 $$unsorted) % 0.15/0.42 (declare-const tptp.z_defuse $$unsorted) % 0.15/0.42 (declare-const tptp.def $$unsorted) % 0.15/0.42 (declare-const tptp.use $$unsorted) % 0.15/0.42 (declare-const tptp.true Bool) % 0.15/0.42 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.42 (declare-const tptp.pv5 $$unsorted) % 0.15/0.42 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.42 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.15/0.42 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.42 (declare-const tptp.u_defuse $$unsorted) % 0.15/0.42 (declare-const tptp.n3 $$unsorted) % 0.15/0.42 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.42 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.15/0.42 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.15/0.42 (declare-const tptp.n0 $$unsorted) % 0.15/0.42 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.42 (declare-const tptp.n1 $$unsorted) % 0.15/0.42 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.15/0.42 (declare-const tptp.n5 $$unsorted) % 0.15/0.42 (declare-const tptp.sigma_defuse $$unsorted) % 0.15/0.42 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.15/0.42 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.42 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.42 (declare-const tptp.xinit_noise_defuse $$unsorted) % 0.15/0.42 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.42 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.15/0.42 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.15/0.42 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.15/0.42 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.42 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.15/0.42 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.42 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.42 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.42 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.42 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.42 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.15/0.42 (declare-const tptp.n4 $$unsorted) % 0.15/0.42 (declare-const tptp.n2 $$unsorted) % 0.15/0.42 (define @t1 () (@var "Y" $$unsorted)) % 0.15/0.42 (define @t2 () (@var "X" $$unsorted)) % 0.15/0.42 (define @t3 () (= @t2 @t1)) % 0.15/0.42 (define @t4 () (tptp.gt @t1 @t2)) % 0.15/0.42 (define @t5 () (tptp.gt @t2 @t1)) % 0.15/0.42 (define @t6 () (@list @t2 @t1)) % 0.15/0.42 (define @t7 () (@var "Z" $$unsorted)) % 0.15/0.42 (define @t8 () (@list @t2 @t1 @t7)) % 0.15/0.42 (define @t9 () (@list @t2)) % 0.15/0.42 (define @t10 () (tptp.leq @t2 @t1)) % 0.15/0.42 (define @t11 () (tptp.leq @t2 (tptp.pred @t1))) % 0.15/0.42 (define @t12 () (forall @t6 (= @t11 @t4))) % 0.15/0.42 (define @t13 () (tptp.succ @t2)) % 0.15/0.42 (define @t14 () (tptp.succ @t1)) % 0.15/0.42 (define @t15 () (@var "C" $$unsorted)) % 0.15/0.42 (define @t16 () (tptp.uniform_int_rnd @t15 @t2)) % 0.15/0.42 (define @t17 () (tptp.leq tptp.n0 @t2)) % 0.15/0.42 (define @t18 () (@list @t2 @t15)) % 0.15/0.42 (define @t19 () (@var "Val" $$unsorted)) % 0.15/0.42 (define @t20 () (@var "I" $$unsorted)) % 0.15/0.42 (define @t21 () (@var "U" $$unsorted)) % 0.15/0.42 (define @t22 () (@var "L" $$unsorted)) % 0.15/0.42 (define @t23 () (tptp.leq @t20 @t21)) % 0.15/0.42 (define @t24 () (@var "J" $$unsorted)) % 0.15/0.42 (define @t25 () (@var "U2" $$unsorted)) % 0.15/0.42 (define @t26 () (@var "L2" $$unsorted)) % 0.15/0.42 (define @t27 () (@var "U1" $$unsorted)) % 0.15/0.42 (define @t28 () (@var "L1" $$unsorted)) % 0.15/0.42 (define @t29 () (@var "A" $$unsorted)) % 0.15/0.42 (define @t30 () (tptp.trans @t29)) % 0.15/0.42 (define @t31 () (@var "N" $$unsorted)) % 0.15/0.42 (define @t32 () (tptp.leq @t24 @t31)) % 0.15/0.42 (define @t33 () (tptp.leq tptp.n0 @t24)) % 0.15/0.42 (define @t34 () (tptp.leq @t20 @t31)) % 0.15/0.42 (define @t35 () (tptp.leq tptp.n0 @t20)) % 0.15/0.42 (define @t36 () (and @t35 @t34 @t33 @t32)) % 0.15/0.42 (define @t37 () (@list @t20 @t24)) % 0.15/0.42 (define @t38 () (forall @t37 (=> @t36 (= (tptp.a_select3 @t29 @t20 @t24) (tptp.a_select3 @t29 @t24 @t20))))) % 0.15/0.42 (define @t39 () (@list @t29 @t31)) % 0.15/0.42 (define @t40 () (tptp.inv @t29)) % 0.15/0.42 (define @t41 () (@var "VAL" $$unsorted)) % 0.15/0.42 (define @t42 () (@var "K" $$unsorted)) % 0.15/0.42 (define @t43 () (tptp.tptp_update3 @t29 @t42 @t42 @t41)) % 0.15/0.42 (define @t44 () (@var "B" $$unsorted)) % 0.15/0.42 (define @t45 () (tptp.tptp_madd @t29 @t44)) % 0.15/0.42 (define @t46 () (= (tptp.a_select3 @t44 @t20 @t24) (tptp.a_select3 @t44 @t24 @t20))) % 0.15/0.42 (define @t47 () (forall @t37 (=> @t36 @t46))) % 0.15/0.42 (define @t48 () (and @t38 @t47)) % 0.15/0.42 (define @t49 () (@list @t29 @t44 @t31)) % 0.15/0.42 (define @t50 () (tptp.tptp_msub @t29 @t44)) % 0.15/0.42 (define @t51 () (tptp.tptp_mmul @t29 (tptp.tptp_mmul @t44 @t30))) % 0.15/0.42 (define @t52 () (forall @t37 (=> @t36 (= (tptp.a_select3 @t51 @t20 @t24) (tptp.a_select3 @t51 @t24 @t20))))) % 0.15/0.42 (define @t53 () (@var "M" $$unsorted)) % 0.15/0.42 (define @t54 () (and @t35 (tptp.leq @t20 @t53) @t33 (tptp.leq @t24 @t53))) % 0.15/0.42 (define @t55 () (@var "E" $$unsorted)) % 0.15/0.42 (define @t56 () (@var "F" $$unsorted)) % 0.15/0.42 (define @t57 () (@var "D" $$unsorted)) % 0.15/0.42 (define @t58 () (tptp.tptp_madd @t29 (tptp.tptp_mmul @t44 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t15 (tptp.tptp_mmul @t57 (tptp.trans @t15))) (tptp.tptp_mmul @t55 (tptp.tptp_mmul @t56 (tptp.trans @t55)))) (tptp.trans @t44))))) % 0.15/0.42 (define @t59 () (@var "Body" $$unsorted)) % 0.15/0.42 (define @t60 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t59)) % 0.15/0.42 (define @t61 () (@list @t59)) % 0.15/0.42 (define @t62 () (tptp.succ @t13)) % 0.15/0.42 (define @t63 () (tptp.succ @t62)) % 0.15/0.42 (define @t64 () (tptp.succ @t63)) % 0.15/0.42 (define @t65 () (tptp.succ @t64)) % 0.15/0.42 (define @t66 () (tptp.pred @t2)) % 0.15/0.42 (define @t67 () (@var "V" $$unsorted)) % 0.15/0.42 (define @t68 () (tptp.tptp_update3 @t2 @t21 @t67 @t41)) % 0.15/0.42 (define @t69 () (@var "VAL2" $$unsorted)) % 0.15/0.42 (define @t70 () (not (= @t20 @t21))) % 0.15/0.42 (define @t71 () (@var "J0" $$unsorted)) % 0.15/0.42 (define @t72 () (@var "I0" $$unsorted)) % 0.15/0.42 (define @t73 () (tptp.leq @t72 @t21)) % 0.15/0.42 (define @t74 () (tptp.leq tptp.n0 @t72)) % 0.15/0.42 (define @t75 () (tptp.tptp_update2 @t2 @t21 @t41)) % 0.15/0.42 (define @t76 () (tptp.a_select3 tptp.u_defuse @t55 @t56)) % 0.15/0.42 (define @t77 () (tptp.leq @t56 tptp.pv5)) % 0.15/0.42 (define @t78 () (tptp.leq @t55 tptp.n2)) % 0.15/0.42 (define @t79 () (tptp.leq tptp.n0 @t56)) % 0.15/0.42 (define @t80 () (tptp.leq tptp.n0 @t55)) % 0.15/0.42 (define @t81 () (and @t80 @t79 @t78 @t77)) % 0.15/0.42 (define @t82 () (=> @t81 (= @t76 tptp.use))) % 0.15/0.42 (define @t83 () (@list @t55 @t56)) % 0.15/0.42 (define @t84 () (forall @t83 @t82)) % 0.15/0.42 (define @t85 () (tptp.a_select3 tptp.z_defuse @t15 @t57)) % 0.15/0.42 (define @t86 () (tptp.pred tptp.pv5)) % 0.15/0.42 (define @t87 () (tptp.leq @t57 @t86)) % 0.15/0.42 (define @t88 () (tptp.leq @t15 tptp.n2)) % 0.15/0.42 (define @t89 () (tptp.leq tptp.n0 @t57)) % 0.15/0.42 (define @t90 () (tptp.leq tptp.n0 @t15)) % 0.15/0.42 (define @t91 () (and @t90 @t89 @t88 @t87)) % 0.15/0.42 (define @t92 () (=> @t91 (= @t85 tptp.use))) % 0.15/0.42 (define @t93 () (@list @t15 @t57)) % 0.15/0.42 (define @t94 () (forall @t93 @t92)) % 0.15/0.42 (define @t95 () (tptp.a_select3 tptp.u_defuse @t29 @t44)) % 0.15/0.42 (define @t96 () (tptp.leq @t44 @t86)) % 0.15/0.42 (define @t97 () (tptp.leq @t29 tptp.n2)) % 0.15/0.42 (define @t98 () (tptp.leq tptp.n0 @t44)) % 0.15/0.42 (define @t99 () (tptp.leq tptp.n0 @t29)) % 0.15/0.42 (define @t100 () (and @t99 @t98 @t97 @t96)) % 0.15/0.42 (define @t101 () (=> @t100 (= @t95 tptp.use))) % 0.15/0.42 (define @t102 () (@list @t29 @t44)) % 0.15/0.42 (define @t103 () (forall @t102 @t101)) % 0.15/0.42 (define @t104 () (tptp.gt tptp.pv5 tptp.n0)) % 0.15/0.42 (define @t105 () (tptp.leq tptp.pv5 tptp.n998)) % 0.15/0.42 (define @t106 () (tptp.leq tptp.pv5 tptp.n0)) % 0.15/0.42 (define @t107 () (tptp.leq tptp.n0 tptp.pv5)) % 0.15/0.42 (define @t108 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n5)) % 0.15/0.42 (define @t109 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n4)) % 0.15/0.42 (define @t110 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n3)) % 0.15/0.42 (define @t111 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n2)) % 0.15/0.42 (define @t112 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n1)) % 0.15/0.42 (define @t113 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n0)) % 0.15/0.42 (define @t114 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n5)) % 0.15/0.42 (define @t115 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n4)) % 0.15/0.42 (define @t116 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n3)) % 0.15/0.42 (define @t117 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n2)) % 0.15/0.42 (define @t118 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n1)) % 0.15/0.42 (define @t119 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n0)) % 0.15/0.42 (define @t120 () (tptp.a_select2 tptp.xinit_defuse tptp.n5)) % 0.15/0.42 (define @t121 () (tptp.a_select2 tptp.xinit_defuse tptp.n4)) % 0.15/0.42 (define @t122 () (tptp.a_select2 tptp.xinit_defuse tptp.n3)) % 0.15/0.42 (define @t123 () (tptp.a_select3 tptp.u_defuse tptp.n2 tptp.n0)) % 0.15/0.42 (define @t124 () (tptp.a_select3 tptp.u_defuse tptp.n1 tptp.n0)) % 0.15/0.42 (define @t125 () (tptp.a_select3 tptp.u_defuse tptp.n0 tptp.n0)) % 0.15/0.42 (define @t126 () (tptp.a_select2 tptp.sigma_defuse tptp.n5)) % 0.15/0.42 (define @t127 () (tptp.a_select2 tptp.sigma_defuse tptp.n4)) % 0.15/0.42 (define @t128 () (tptp.a_select2 tptp.sigma_defuse tptp.n3)) % 0.15/0.42 (define @t129 () (tptp.a_select2 tptp.sigma_defuse tptp.n2)) % 0.15/0.42 (define @t130 () (tptp.a_select2 tptp.sigma_defuse tptp.n1)) % 0.15/0.42 (define @t131 () (tptp.a_select2 tptp.sigma_defuse tptp.n0)) % 0.15/0.42 (define @t132 () (tptp.a_select2 tptp.rho_defuse tptp.n2)) % 0.15/0.42 (define @t133 () (tptp.a_select2 tptp.rho_defuse tptp.n1)) % 0.15/0.42 (define @t134 () (tptp.a_select2 tptp.rho_defuse tptp.n0)) % 0.15/0.42 (define @t135 () (and (= @t134 tptp.use) (= @t133 tptp.use) (= @t132 tptp.use) (= @t131 tptp.use) (= @t130 tptp.use) (= @t129 tptp.use) (= @t128 tptp.use) (= @t127 tptp.use) (= @t126 tptp.use) (= @t125 tptp.use) (= @t124 tptp.use) (= @t123 tptp.use) (= @t122 tptp.use) (= @t121 tptp.use) (= @t120 tptp.use) (= @t119 tptp.use) (= @t118 tptp.use) (= @t117 tptp.use) (= @t116 tptp.use) (= @t115 tptp.use) (= @t114 tptp.use) (= @t113 tptp.use) (= @t112 tptp.use) (= @t111 tptp.use) (= @t110 tptp.use) (= @t109 tptp.use) (= @t108 tptp.use) @t107 @t106 @t105 @t104 @t103 @t94)) % 0.15/0.42 (define @t136 () (=> @t135 @t84)) % 0.15/0.42 (define @t137 () (not @t136)) % 0.15/0.42 (define @t138 () (= @t2 tptp.n4)) % 0.15/0.42 (define @t139 () (= @t2 tptp.n3)) % 0.15/0.42 (define @t140 () (= @t2 tptp.n2)) % 0.15/0.42 (define @t141 () (= @t2 tptp.n1)) % 0.15/0.42 (define @t142 () (= @t2 tptp.n0)) % 0.15/0.42 (define @t143 () (tptp.leq @t2 tptp.n0)) % 0.15/0.42 (define @t144 () (and @t17 @t143)) % 0.15/0.42 (define @t145 () (forall @t9 (=> @t144 @t142))) % 0.15/0.42 (define @t146 () (tptp.succ tptp.n0)) % 0.15/0.42 (define @t147 () (tptp.succ @t146)) % 0.15/0.42 (define @t148 () (tptp.succ @t147)) % 0.15/0.42 (define @t149 () (tptp.succ @t148)) % 0.15/0.42 (define @t150 () (= tptp.use @t76)) % 0.15/0.42 (define @t151 () (not @t77)) % 0.15/0.42 (define @t152 () (not @t78)) % 0.15/0.42 (define @t153 () (not @t79)) % 0.15/0.42 (define @t154 () (not @t80)) % 0.15/0.42 (define @t155 () (or @t154 @t153 @t152 @t151 @t150)) % 0.15/0.42 (define @t156 () (or @t154 @t153 @t152 @t151)) % 0.15/0.42 (define @t157 () (= tptp.use @t85)) % 0.15/0.42 (define @t158 () (not @t87)) % 0.15/0.42 (define @t159 () (not @t88)) % 0.15/0.42 (define @t160 () (not @t89)) % 0.15/0.42 (define @t161 () (not @t90)) % 0.15/0.42 (define @t162 () (or @t161 @t160 @t159 @t158)) % 0.15/0.42 (define @t163 () (= tptp.use @t95)) % 0.15/0.42 (define @t164 () (not @t96)) % 0.15/0.42 (define @t165 () (not @t97)) % 0.15/0.42 (define @t166 () (not @t98)) % 0.15/0.42 (define @t167 () (not @t99)) % 0.15/0.42 (define @t168 () (or @t167 @t166 @t165 @t164)) % 0.15/0.42 (define @t169 () (tptp.leq tptp.n0 @t86)) % 0.15/0.42 (define @t170 () (= @t104 @t169)) % 0.15/0.42 (define @t171 () (not @t143)) % 0.15/0.42 (define @t172 () (not @t17)) % 0.15/0.42 (define @t173 () (or @t172 @t171 @t142)) % 0.15/0.42 (define @t174 () (forall @t83 @t155)) % 0.15/0.42 (define @t175 () (@quantifiers_skolemize @t174 1)) % 0.15/0.42 (define @t176 () (tptp.leq @t175 tptp.n0)) % 0.15/0.42 (define @t177 () (not @t176)) % 0.15/0.42 (define @t178 () (tptp.leq tptp.n0 @t175)) % 0.15/0.42 (define @t179 () (not @t178)) % 0.15/0.42 (define @t180 () (or @t179 @t177 (= @t175 tptp.n0))) % 0.15/0.42 (define @t181 () (forall @t9 @t173)) % 0.15/0.42 (define @t182 () (= tptp.n0 @t175)) % 0.15/0.42 (define @t183 () (or @t179 @t177 @t182)) % 0.15/0.42 (define @t184 () (@list false)) % 0.15/0.42 (define @t185 () (@list @t181)) % 0.15/0.42 (define @t186 () (tptp.leq @t175 tptp.pv5)) % 0.15/0.42 (define @t187 () (@quantifiers_skolemize @t174 0)) % 0.15/0.42 (define @t188 () (= tptp.use (tptp.a_select3 tptp.u_defuse @t187 @t175))) % 0.15/0.42 (define @t189 () (not @t186)) % 0.15/0.42 (define @t190 () (tptp.leq @t187 tptp.n2)) % 0.15/0.42 (define @t191 () (not @t190)) % 0.15/0.42 (define @t192 () (tptp.leq tptp.n0 @t187)) % 0.15/0.42 (define @t193 () (not @t192)) % 0.15/0.42 (define @t194 () (or @t193 @t179 @t191 @t189 @t188)) % 0.15/0.42 (define @t195 () (@list true)) % 0.15/0.42 (define @t196 () (@list @t194)) % 0.15/0.42 (define @t197 () (not @t106)) % 0.15/0.42 (define @t198 () (not @t107)) % 0.15/0.42 (define @t199 () (or @t198 @t197 (= tptp.pv5 tptp.n0))) % 0.15/0.42 (define @t200 () (= tptp.n0 tptp.pv5)) % 0.15/0.42 (define @t201 () (or @t198 @t197 @t200)) % 0.15/0.42 (define @t202 () (@list false false false)) % 0.15/0.42 (define @t203 () (tptp.leq @t175 @t86)) % 0.15/0.42 (define @t204 () (not @t203)) % 0.15/0.42 (define @t205 () (or @t193 @t179 @t191 @t204 @t188)) % 0.15/0.42 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.15/0.42 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.15/0.42 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.15/0.42 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.15/0.42 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.15/0.42 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.15/0.42 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.15/0.42 (assume @p8 (forall @t6 (=> @t4 @t10))) % 0.15/0.42 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.15/0.42 (assume @p10 @t12) % 0.15/0.42 (assume @p11 (forall @t9 (tptp.gt @t13 @t2))) % 0.15/0.42 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t14)))) % 0.15/0.42 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t14 @t2)))) % 0.15/0.42 (assume @p14 (forall @t18 (=> @t17 (tptp.leq @t16 @t2)))) % 0.15/0.42 (assume @p15 (forall @t18 (=> @t17 (tptp.leq tptp.n0 @t16)))) % 0.15/0.42 (assume @p16 (forall (@list @t20 @t22 @t21 @t19) (=> (and (tptp.leq @t22 @t20) @t23) (= (tptp.a_select2 (tptp.tptp_const_array1 (tptp.dim @t22 @t21) @t19) @t20) @t19)))) % 0.15/0.42 (assume @p17 (forall (@list @t20 @t28 @t27 @t24 @t26 @t25 @t19) (=> (and (tptp.leq @t28 @t20) (tptp.leq @t20 @t27) (tptp.leq @t26 @t24) (tptp.leq @t24 @t25)) (= (tptp.a_select3 (tptp.tptp_const_array2 (tptp.dim @t28 @t27) (tptp.dim @t26 @t25) @t19) @t20 @t24) @t19)))) % 0.15/0.42 (assume @p18 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (= (tptp.a_select3 @t30 @t20 @t24) (tptp.a_select3 @t30 @t24 @t20))))))) % 0.15/0.42 (assume @p19 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (= (tptp.a_select3 @t40 @t20 @t24) (tptp.a_select3 @t40 @t24 @t20))))))) % 0.15/0.42 (assume @p20 (forall @t39 (=> @t38 (forall (@list @t20 @t24 @t42 @t41) (=> (and @t35 @t34 @t33 @t32 (tptp.leq tptp.n0 @t42) (tptp.leq @t42 @t31)) (= (tptp.a_select3 @t43 @t20 @t24) (tptp.a_select3 @t43 @t24 @t20))))))) % 0.15/0.42 (assume @p21 (forall @t49 (=> @t48 (forall @t37 (=> @t36 (= (tptp.a_select3 @t45 @t20 @t24) (tptp.a_select3 @t45 @t24 @t20))))))) % 0.15/0.42 (assume @p22 (forall @t49 (=> @t48 (forall @t37 (=> @t36 (= (tptp.a_select3 @t50 @t20 @t24) (tptp.a_select3 @t50 @t24 @t20))))))) % 0.15/0.42 (assume @p23 (forall @t49 (=> @t47 @t52))) % 0.15/0.42 (assume @p24 (forall (@list @t29 @t44 @t31 @t53) (=> (forall @t37 (=> @t54 @t46)) @t52))) % 0.15/0.42 (assume @p25 (forall (@list @t29 @t44 @t15 @t57 @t55 @t56 @t31 @t53) (=> (and (forall @t37 (=> @t54 (= (tptp.a_select3 @t57 @t20 @t24) (tptp.a_select3 @t57 @t24 @t20)))) @t38 (forall @t37 (=> @t36 (= (tptp.a_select3 @t56 @t20 @t24) (tptp.a_select3 @t56 @t24 @t20))))) (forall @t37 (=> @t36 (= (tptp.a_select3 @t58 @t20 @t24) (tptp.a_select3 @t58 @t24 @t20))))))) % 0.15/0.42 (assume @p26 (forall @t61 (= @t60 tptp.n0))) % 0.15/0.42 (assume @p27 (forall @t61 (= tptp.tptp_float_0_0 @t60))) % 0.15/0.42 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.15/0.42 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t13))) % 0.15/0.42 (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t13))) % 0.15/0.42 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t62))) % 0.15/0.42 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t62))) % 0.15/0.42 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t63))) % 0.15/0.42 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t63))) % 0.15/0.42 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t64))) % 0.15/0.42 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t64))) % 0.15/0.42 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t65))) % 0.15/0.42 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t65))) % 0.15/0.42 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t66))) % 0.15/0.42 (assume @p40 (forall @t9 (= (tptp.pred @t13) @t2))) % 0.15/0.42 (assume @p41 (forall @t9 (= (tptp.succ @t66) @t2))) % 0.15/0.42 (assume @p42 (forall @t6 (= (tptp.leq @t13 @t14) @t10))) % 0.15/0.42 (assume @p43 (forall @t6 (=> (tptp.leq @t13 @t1) @t4))) % 0.15/0.42 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.15/0.42 (assume @p45 (forall (@list @t2 @t21 @t67 @t41) (= (tptp.a_select3 @t68 @t21 @t67) @t41))) % 0.15/0.42 (assume @p46 (forall (@list @t20 @t24 @t21 @t67 @t2 @t41 @t69) (=> (and @t70 (= @t24 @t67) (= (tptp.a_select3 @t2 @t21 @t67) @t41)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t20 @t24 @t69) @t21 @t67) @t41)))) % 0.15/0.42 (assume @p47 (forall (@list @t20 @t24 @t21 @t67 @t2 @t41) (=> (and (forall (@list @t72 @t71) (=> (and @t74 (tptp.leq tptp.n0 @t71) @t73 (tptp.leq @t71 @t67)) (= (tptp.a_select3 @t2 @t72 @t71) @t41))) @t35 @t23 @t33 (tptp.leq @t24 @t67)) (= (tptp.a_select3 @t68 @t20 @t24) @t41)))) % 0.15/0.42 (assume @p48 (forall (@list @t2 @t21 @t41) (= (tptp.a_select2 @t75 @t21) @t41))) % 0.15/0.42 (assume @p49 (forall (@list @t20 @t21 @t2 @t41 @t69) (=> (and @t70 (= (tptp.a_select2 @t2 @t21) @t41)) (= (tptp.a_select2 (tptp.tptp_update2 @t2 @t20 @t69) @t21) @t41)))) % 0.15/0.42 (assume @p50 (forall (@list @t20 @t21 @t2 @t41) (=> (and (forall (@list @t72) (=> (and @t74 @t73) (= (tptp.a_select2 @t2 @t72) @t41))) @t35 @t23) (= (tptp.a_select2 @t75 @t20) @t41)))) % 0.15/0.42 (assume @p51 tptp.true) % 0.15/0.42 (assume @p52 (not (= tptp.def tptp.use))) % 0.15/0.42 (assume @p53 @t137) % 0.15/0.42 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.15/0.42 (assume @p55 (tptp.gt tptp.n998 tptp.n4)) % 0.15/0.42 (assume @p56 (tptp.gt tptp.n998 tptp.n5)) % 0.15/0.42 (assume @p57 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.15/0.42 (assume @p58 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.15/0.42 (assume @p59 (tptp.gt tptp.n998 tptp.tptp_minus_1)) % 0.15/0.42 (assume @p60 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.15/0.42 (assume @p61 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.15/0.42 (assume @p62 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.15/0.42 (assume @p63 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.15/0.42 (assume @p64 (tptp.gt tptp.n4 tptp.n0)) % 0.15/0.42 (assume @p65 (tptp.gt tptp.n5 tptp.n0)) % 0.15/0.42 (assume @p66 (tptp.gt tptp.n998 tptp.n0)) % 0.15/0.42 (assume @p67 (tptp.gt tptp.n1 tptp.n0)) % 0.15/0.42 (assume @p68 (tptp.gt tptp.n2 tptp.n0)) % 0.15/0.42 (assume @p69 (tptp.gt tptp.n3 tptp.n0)) % 0.15/0.42 (assume @p70 (tptp.gt tptp.n4 tptp.n1)) % 0.15/0.42 (assume @p71 (tptp.gt tptp.n5 tptp.n1)) % 0.15/0.42 (assume @p72 (tptp.gt tptp.n998 tptp.n1)) % 0.15/0.42 (assume @p73 (tptp.gt tptp.n2 tptp.n1)) % 0.15/0.42 (assume @p74 (tptp.gt tptp.n3 tptp.n1)) % 0.15/0.42 (assume @p75 (tptp.gt tptp.n4 tptp.n2)) % 0.15/0.42 (assume @p76 (tptp.gt tptp.n5 tptp.n2)) % 0.15/0.42 (assume @p77 (tptp.gt tptp.n998 tptp.n2)) % 0.15/0.42 (assume @p78 (tptp.gt tptp.n3 tptp.n2)) % 0.15/0.42 (assume @p79 (tptp.gt tptp.n4 tptp.n3)) % 0.15/0.42 (assume @p80 (tptp.gt tptp.n5 tptp.n3)) % 0.15/0.42 (assume @p81 (tptp.gt tptp.n998 tptp.n3)) % 0.15/0.42 (assume @p82 (forall @t9 (=> (and @t17 (tptp.leq @t2 tptp.n4)) (or @t142 @t141 @t140 @t139 @t138)))) % 0.15/0.42 (assume @p83 (forall @t9 (=> (and @t17 (tptp.leq @t2 tptp.n5)) (or @t142 @t141 @t140 @t139 @t138 (= @t2 tptp.n5))))) % 0.15/0.42 (assume @p84 @t145) % 0.15/0.42 (assume @p85 (forall @t9 (=> (and @t17 (tptp.leq @t2 tptp.n1)) (or @t142 @t141)))) % 0.15/0.42 (assume @p86 (forall @t9 (=> (and @t17 (tptp.leq @t2 tptp.n2)) (or @t142 @t141 @t140)))) % 0.15/0.42 (assume @p87 (forall @t9 (=> (and @t17 (tptp.leq @t2 tptp.n3)) (or @t142 @t141 @t140 @t139)))) % 0.15/0.42 (assume @p88 (= @t149 tptp.n4)) % 0.15/0.42 (assume @p89 (= (tptp.succ @t149) tptp.n5)) % 0.15/0.42 (assume @p90 (= @t146 tptp.n1)) % 0.15/0.42 (assume @p91 (= @t147 tptp.n2)) % 0.15/0.42 (assume @p92 (= @t148 tptp.n3)) % 0.15/0.42 (assume @p93 true) % 0.15/0.42 (step @p94 :rule evaluate :args ((= false true))) % 0.15/0.42 (step @p95 :rule eq-symm :args (@t11 @t4)) % 0.15/0.42 (step @p96 :rule cong :premises (@p95) :args (@t12)) % 0.15/0.42 (step @p97 :rule eq_resolve :premises (@p10 @p96)) % 0.15/0.42 (step @p98 :rule instantiate :premises (@p97) :args ((@list tptp.n0 tptp.pv5))) % 0.15/0.42 (step @p99 :rule aci_norm :args ((= (or @t156 @t150) @t155))) % 0.15/0.42 (step @p100 :rule refl :args (@t150)) % 0.15/0.42 (step @p101 :rule aci_norm :args ((= (or @t154 (or @t153 (or @t152 @t151))) @t156))) % 0.15/0.42 (step @p102 :rule bool-and-de-morgan :args (@t78 @t77 true)) % 0.15/0.42 (step @p103 :rule refl :args (@t153)) % 0.15/0.42 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or @t153 (not (and @t78 @t77))))) % 0.15/0.42 (step @p105 :rule bool-and-de-morgan :args (@t79 @t78 (and @t77))) % 0.15/0.42 (step @p106 :rule trans :premises (@p105 @p104)) % 0.15/0.42 (step @p107 :rule refl :args (@t154)) % 0.15/0.42 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or @t154 (not (and @t79 @t78 @t77))))) % 0.15/0.42 (step @p109 :rule bool-and-de-morgan :args (@t80 @t79 (and @t78 @t77))) % 0.15/0.42 (step @p110 :rule trans :premises (@p109 @p108)) % 0.15/0.42 (step @p111 :rule trans :premises (@p110 @p101)) % 0.15/0.42 (step @p112 :rule nary_cong :premises (@p111 @p100) :args ((or (not @t81) @t150))) % 0.15/0.42 (step @p113 :rule trans :premises (@p112 @p99)) % 0.15/0.42 (step @p114 :rule bool-impl-elim :args (@t81 @t150)) % 0.15/0.42 (step @p115 :rule trans :premises (@p114 @p113)) % 0.15/0.42 (step @p116 :rule cong :premises (@p115) :args ((forall @t83 (=> @t81 @t150)))) % 0.15/0.42 (step @p117 :rule eq-symm :args (@t76 tptp.use)) % 0.15/0.42 (step @p118 :rule refl :args (@t81)) % 0.15/0.42 (step @p119 :rule cong :premises (@p118 @p117) :args (@t82)) % 0.15/0.42 (step @p120 :rule cong :premises (@p119) :args (@t84)) % 0.15/0.42 (step @p121 :rule trans :premises (@p120 @p116)) % 0.15/0.42 (step @p122 :rule aci_norm :args ((= (or @t162 @t157) (or @t161 @t160 @t159 @t158 @t157)))) % 0.15/0.42 (step @p123 :rule refl :args (@t157)) % 0.15/0.42 (step @p124 :rule aci_norm :args ((= (or @t161 (or @t160 (or @t159 @t158))) @t162))) % 0.15/0.42 (step @p125 :rule bool-and-de-morgan :args (@t88 @t87 true)) % 0.15/0.42 (step @p126 :rule refl :args (@t160)) % 0.15/0.42 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or @t160 (not (and @t88 @t87))))) % 0.15/0.42 (step @p128 :rule bool-and-de-morgan :args (@t89 @t88 (and @t87))) % 0.15/0.42 (step @p129 :rule trans :premises (@p128 @p127)) % 0.15/0.42 (step @p130 :rule refl :args (@t161)) % 0.15/0.42 (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((or @t161 (not (and @t89 @t88 @t87))))) % 0.15/0.42 (step @p132 :rule bool-and-de-morgan :args (@t90 @t89 (and @t88 @t87))) % 0.15/0.42 (step @p133 :rule trans :premises (@p132 @p131)) % 0.15/0.42 (step @p134 :rule trans :premises (@p133 @p124)) % 0.15/0.42 (step @p135 :rule nary_cong :premises (@p134 @p123) :args ((or (not @t91) @t157))) % 0.15/0.42 (step @p136 :rule trans :premises (@p135 @p122)) % 0.15/0.42 (step @p137 :rule bool-impl-elim :args (@t91 @t157)) % 0.15/0.42 (step @p138 :rule trans :premises (@p137 @p136)) % 0.15/0.42 (step @p139 :rule cong :premises (@p138) :args ((forall @t93 (=> @t91 @t157)))) % 0.15/0.42 (step @p140 :rule eq-symm :args (@t85 tptp.use)) % 0.15/0.42 (step @p141 :rule refl :args (@t91)) % 0.15/0.42 (step @p142 :rule cong :premises (@p141 @p140) :args (@t92)) % 0.15/0.42 (step @p143 :rule cong :premises (@p142) :args (@t94)) % 0.15/0.42 (step @p144 :rule trans :premises (@p143 @p139)) % 0.15/0.42 (step @p145 :rule aci_norm :args ((= (or @t168 @t163) (or @t167 @t166 @t165 @t164 @t163)))) % 0.15/0.42 (step @p146 :rule refl :args (@t163)) % 0.15/0.42 (step @p147 :rule aci_norm :args ((= (or @t167 (or @t166 (or @t165 @t164))) @t168))) % 0.15/0.42 (step @p148 :rule bool-and-de-morgan :args (@t97 @t96 true)) % 0.15/0.42 (step @p149 :rule refl :args (@t166)) % 0.15/0.42 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or @t166 (not (and @t97 @t96))))) % 0.15/0.42 (step @p151 :rule bool-and-de-morgan :args (@t98 @t97 (and @t96))) % 0.15/0.42 (step @p152 :rule trans :premises (@p151 @p150)) % 0.15/0.42 (step @p153 :rule refl :args (@t167)) % 0.15/0.42 (step @p154 :rule nary_cong :premises (@p153 @p152) :args ((or @t167 (not (and @t98 @t97 @t96))))) % 0.15/0.42 (step @p155 :rule bool-and-de-morgan :args (@t99 @t98 (and @t97 @t96))) % 0.15/0.42 (step @p156 :rule trans :premises (@p155 @p154)) % 0.15/0.42 (step @p157 :rule trans :premises (@p156 @p147)) % 0.15/0.42 (step @p158 :rule nary_cong :premises (@p157 @p146) :args ((or (not @t100) @t163))) % 0.15/0.42 (step @p159 :rule trans :premises (@p158 @p145)) % 0.15/0.42 (step @p160 :rule bool-impl-elim :args (@t100 @t163)) % 0.15/0.42 (step @p161 :rule trans :premises (@p160 @p159)) % 0.15/0.42 (step @p162 :rule cong :premises (@p161) :args ((forall @t102 (=> @t100 @t163)))) % 0.15/0.42 (step @p163 :rule eq-symm :args (@t95 tptp.use)) % 0.15/0.42 (step @p164 :rule refl :args (@t100)) % 0.15/0.42 (step @p165 :rule cong :premises (@p164 @p163) :args (@t101)) % 0.15/0.42 (step @p166 :rule cong :premises (@p165) :args (@t103)) % 0.15/0.42 (step @p167 :rule trans :premises (@p166 @p162)) % 0.15/0.42 (step @p168 :rule refl :args (@t104)) % 0.15/0.42 (step @p169 :rule refl :args (@t105)) % 0.15/0.42 (step @p170 :rule refl :args (@t106)) % 0.15/0.42 (step @p171 :rule refl :args (@t107)) % 0.15/0.42 (step @p172 :rule eq-symm :args (@t108 tptp.use)) % 0.15/0.42 (step @p173 :rule eq-symm :args (@t109 tptp.use)) % 0.15/0.42 (step @p174 :rule eq-symm :args (@t110 tptp.use)) % 0.15/0.42 (step @p175 :rule eq-symm :args (@t111 tptp.use)) % 0.15/0.42 (step @p176 :rule eq-symm :args (@t112 tptp.use)) % 0.15/0.42 (step @p177 :rule eq-symm :args (@t113 tptp.use)) % 0.15/0.42 (step @p178 :rule eq-symm :args (@t114 tptp.use)) % 0.15/0.42 (step @p179 :rule eq-symm :args (@t115 tptp.use)) % 0.15/0.42 (step @p180 :rule eq-symm :args (@t116 tptp.use)) % 0.15/0.42 (step @p181 :rule eq-symm :args (@t117 tptp.use)) % 0.15/0.42 (step @p182 :rule eq-symm :args (@t118 tptp.use)) % 0.15/0.42 (step @p183 :rule eq-symm :args (@t119 tptp.use)) % 0.15/0.42 (step @p184 :rule eq-symm :args (@t120 tptp.use)) % 0.15/0.42 (step @p185 :rule eq-symm :args (@t121 tptp.use)) % 0.15/0.42 (step @p186 :rule eq-symm :args (@t122 tptp.use)) % 0.15/0.42 (step @p187 :rule eq-symm :args (@t123 tptp.use)) % 0.15/0.42 (step @p188 :rule eq-symm :args (@t124 tptp.use)) % 0.15/0.42 (step @p189 :rule eq-symm :args (@t125 tptp.use)) % 0.15/0.42 (step @p190 :rule eq-symm :args (@t126 tptp.use)) % 0.15/0.42 (step @p191 :rule eq-symm :args (@t127 tptp.use)) % 0.15/0.42 (step @p192 :rule eq-symm :args (@t128 tptp.use)) % 0.15/0.42 (step @p193 :rule eq-symm :args (@t129 tptp.use)) % 0.15/0.42 (step @p194 :rule eq-symm :args (@t130 tptp.use)) % 0.15/0.42 (step @p195 :rule eq-symm :args (@t131 tptp.use)) % 0.15/0.42 (step @p196 :rule eq-symm :args (@t132 tptp.use)) % 0.15/0.42 (step @p197 :rule eq-symm :args (@t133 tptp.use)) % 0.15/0.42 (step @p198 :rule eq-symm :args (@t134 tptp.use)) % 0.15/0.42 (step @p199 :rule nary_cong :premises (@p198 @p197 @p196 @p195 @p194 @p193 @p192 @p191 @p190 @p189 @p188 @p187 @p186 @p185 @p184 @p183 @p182 @p181 @p180 @p179 @p178 @p177 @p176 @p175 @p174 @p173 @p172 @p171 @p170 @p169 @p168 @p167 @p144) :args (@t135)) % 0.15/0.42 (step @p200 :rule cong :premises (@p199 @p121) :args (@t136)) % 0.15/0.42 (step @p201 :rule cong :premises (@p200) :args (@t137)) % 0.15/0.42 (step @p202 :rule eq_resolve :premises (@p53 @p201)) % 0.15/0.42 (step @p203 :rule not_implies_elim1 :premises (@p202)) % 0.15/0.42 (step @p204 :rule and_elim :premises (@p203) :args (30)) % 0.15/0.42 (step @p205 :rule cnf_equiv_pos1 :args (@t170)) % 0.15/0.42 (step @p206 :rule reordering :premises (@p205) :args ((or (not @t104) @t169 (not @t170)))) % 0.15/0.42 (step @p207 :rule chain_m_resolution :premises (@p206 @p204 @p98) :args (@t169 (@list false false) (@list @t104 @t170))) % 0.15/0.42 (step @p208 :rule true_intro :premises (@p207)) % 0.15/0.42 (step @p209 :rule refl :args (@t86)) % 0.15/0.42 (step @p210 :rule aci_norm :args ((= (or (or @t172 @t171) @t142) @t173))) % 0.15/0.42 (step @p211 :rule refl :args (@t142)) % 0.15/0.42 (step @p212 :rule bool-and-de-morgan :args (@t17 @t143 true)) % 0.15/0.42 (step @p213 :rule nary_cong :premises (@p212 @p211) :args ((or (not @t144) @t142))) % 0.15/0.42 (step @p214 :rule trans :premises (@p213 @p210)) % 0.15/0.42 (step @p215 :rule bool-impl-elim :args (@t144 @t142)) % 0.15/0.42 (step @p216 :rule trans :premises (@p215 @p214)) % 0.15/0.42 (step @p217 :rule cong :premises (@p216) :args (@t145)) % 0.15/0.42 (step @p218 :rule eq_resolve :premises (@p84 @p217)) % 0.15/0.42 (step @p219 :rule eq-symm :args (@t175 tptp.n0)) % 0.15/0.42 (step @p220 :rule refl :args (@t177)) % 0.15/0.42 (step @p221 :rule refl :args (@t179)) % 0.15/0.42 (step @p222 :rule nary_cong :premises (@p221 @p220 @p219) :args (@t180)) % 0.15/0.42 (step @p223 :rule refl :args (@t181)) % 0.15/0.42 (step @p224 :rule cong :premises (@p223 @p222) :args ((=> @t181 @t180))) % 0.15/0.42 (assume-push @p297 @t181) % 0.15/0.42 (step @p226 :rule instantiate :premises (@p218) :args ((@list @t175))) % 0.15/0.42 (step-pop @p298 :rule scope :premises (@p226)) % 0.15/0.42 (step @p227 :rule process_scope :premises (@p298) :args (@t180)) % 0.15/0.42 (step @p229 :rule eq_resolve :premises (@p227 @p224)) % 0.15/0.42 (step @p230 :rule implies_elim :premises (@p229)) % 0.15/0.42 (step @p231 :rule chain_m_resolution :premises (@p230 @p218) :args (@t183 @t184 @t185)) % 0.15/0.42 (step @p232 :rule not_implies_elim2 :premises (@p202)) % 0.15/0.42 (step @p233 :rule skolemize :premises (@p232)) % 0.15/0.42 (step @p234 :rule bool-double-not-elim :args (@t186)) % 0.15/0.42 (step @p235 :rule refl :args (@t194)) % 0.15/0.42 (step @p236 :rule nary_cong :premises (@p235 @p234) :args ((or @t194 (not @t189)))) % 0.15/0.42 (step @p237 :rule cnf_or_neg :args (@t194 3)) % 0.15/0.42 (step @p238 :rule eq_resolve :premises (@p237 @p236)) % 0.15/0.42 (step @p239 :rule reordering :premises (@p238) :args ((or @t186 @t194))) % 0.15/0.42 (step @p240 :rule chain_m_resolution :premises (@p239 @p233) :args (@t186 @t195 @t196)) % 0.15/0.42 (step @p241 :rule true_intro :premises (@p240)) % 0.15/0.42 (step @p242 :rule eq-symm :args (tptp.pv5 tptp.n0)) % 0.15/0.42 (step @p243 :rule refl :args (@t197)) % 0.15/0.42 (step @p244 :rule refl :args (@t198)) % 0.15/0.42 (step @p245 :rule nary_cong :premises (@p244 @p243 @p242) :args (@t199)) % 0.15/0.42 (step @p246 :rule cong :premises (@p223 @p245) :args ((=> @t181 @t199))) % 0.15/0.42 (assume-push @p299 @t181) % 0.15/0.42 (step @p248 :rule instantiate :premises (@p218) :args ((@list tptp.pv5))) % 0.15/0.42 (step-pop @p300 :rule scope :premises (@p248)) % 0.15/0.42 (step @p249 :rule process_scope :premises (@p300) :args (@t199)) % 0.15/0.42 (step @p251 :rule eq_resolve :premises (@p249 @p246)) % 0.15/0.42 (step @p252 :rule implies_elim :premises (@p251)) % 0.15/0.42 (step @p253 :rule chain_m_resolution :premises (@p252 @p218) :args (@t201 @t184 @t185)) % 0.15/0.42 (step @p254 :rule and_elim :premises (@p203) :args (28)) % 0.15/0.42 (step @p255 :rule and_elim :premises (@p203) :args (27)) % 0.15/0.42 (step @p256 :rule cnf_or_pos :args (@t201)) % 0.15/0.42 (step @p257 :rule reordering :premises (@p256) :args ((or @t198 @t197 @t200 (not @t201)))) % 0.15/0.42 (step @p258 :rule chain_m_resolution :premises (@p257 @p255 @p254 @p253) :args (@t200 @t202 (@list @t107 @t106 @t201))) % 0.15/0.42 (step @p259 :rule refl :args (@t175)) % 0.15/0.42 (step @p260 :rule cong :premises (@p259 @p258) :args (@t176)) % 0.15/0.42 (step @p261 :rule trans :premises (@p260 @p241)) % 0.15/0.42 (step @p262 :rule true_elim :premises (@p261)) % 0.15/0.42 (step @p263 :rule bool-double-not-elim :args (@t178)) % 0.15/0.42 (step @p264 :rule nary_cong :premises (@p235 @p263) :args ((or @t194 (not @t179)))) % 0.15/0.42 (step @p265 :rule cnf_or_neg :args (@t194 1)) % 0.15/0.42 (step @p266 :rule eq_resolve :premises (@p265 @p264)) % 0.15/0.42 (step @p267 :rule reordering :premises (@p266) :args ((or @t178 @t194))) % 0.15/0.42 (step @p268 :rule chain_m_resolution :premises (@p267 @p233) :args (@t178 @t195 @t196)) % 0.15/0.42 (step @p269 :rule cnf_or_pos :args (@t183)) % 0.15/0.42 (step @p270 :rule reordering :premises (@p269) :args ((or @t179 @t182 @t177 (not @t183)))) % 0.15/0.42 (step @p271 :rule chain_m_resolution :premises (@p270 @p268 @p262 @p231) :args (@t182 @t202 (@list @t178 @t176 @t183))) % 0.15/0.42 (step @p272 :rule symm :premises (@p271)) % 0.15/0.42 (step @p273 :rule cong :premises (@p272 @p209) :args (@t203)) % 0.15/0.42 (step @p274 :rule and_elim :premises (@p203) :args (31)) % 0.15/0.42 (step @p275 :rule instantiate :premises (@p274) :args ((@list @t187 @t175))) % 0.15/0.42 (step @p276 :rule cnf_or_neg :args (@t194 4)) % 0.15/0.42 (step @p277 :rule chain_m_resolution :premises (@p276 @p233) :args ((not @t188) @t195 @t196)) % 0.15/0.42 (step @p278 :rule bool-double-not-elim :args (@t190)) % 0.15/0.42 (step @p279 :rule nary_cong :premises (@p235 @p278) :args ((or @t194 (not @t191)))) % 0.15/0.42 (step @p280 :rule cnf_or_neg :args (@t194 2)) % 0.15/0.42 (step @p281 :rule eq_resolve :premises (@p280 @p279)) % 0.15/0.42 (step @p282 :rule reordering :premises (@p281) :args ((or @t190 @t194))) % 0.15/0.42 (step @p283 :rule chain_m_resolution :premises (@p282 @p233) :args (@t190 @t195 @t196)) % 0.15/0.42 (step @p284 :rule bool-double-not-elim :args (@t192)) % 0.15/0.42 (step @p285 :rule nary_cong :premises (@p235 @p284) :args ((or @t194 (not @t193)))) % 0.15/0.42 (step @p286 :rule cnf_or_neg :args (@t194 0)) % 0.15/0.42 (step @p287 :rule eq_resolve :premises (@p286 @p285)) % 0.15/0.42 (step @p288 :rule reordering :premises (@p287) :args ((or @t192 @t194))) % 0.15/0.42 (step @p289 :rule chain_m_resolution :premises (@p288 @p233) :args (@t192 @t195 @t196)) % 0.15/0.42 (step @p290 :rule cnf_or_pos :args (@t205)) % 0.15/0.42 (step @p291 :rule reordering :premises (@p290) :args ((or @t193 @t179 @t191 @t188 @t204 (not @t205)))) % 0.15/0.42 (step @p292 :rule chain_m_resolution :premises (@p291 @p289 @p268 @p283 @p277 @p275) :args (@t204 (@list false false false true false) (@list @t192 @t178 @t190 @t188 @t205))) % 0.15/0.42 (step @p293 :rule false_intro :premises (@p292)) % 0.15/0.42 (step @p294 :rule symm :premises (@p293)) % 0.15/0.42 (step @p295 :rule trans :premises (@p294 @p273 @p208)) % 0.15/0.42 (step @p296 false :rule eq_resolve :premises (@p295 @p94)) % 0.15/0.42 ) % 0.15/0.42 % SZS output end Proof % 0.15/0.42 % cvc5 exiting %------------------------------------------------------------------------------