%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV205+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 : n020.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 09:00:43 AM UTC 2026 % Result : Theorem 0.47s 0.64s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV205+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n020.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:59:40 EDT 2026 % 0.15/0.34 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.47/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.47/0.64 % SZS status Theorem % 0.47/0.64 % SZS output start Proof % 0.47/0.64 ( % 0.47/0.64 (declare-sort $$unsorted 0) % 0.47/0.64 (declare-const tptp.rho_defuse $$unsorted) % 0.47/0.64 (declare-const tptp.xinit_defuse $$unsorted) % 0.47/0.64 (declare-const tptp.xinit_mean_defuse $$unsorted) % 0.47/0.64 (declare-const tptp.z_defuse $$unsorted) % 0.47/0.64 (declare-const tptp.def $$unsorted) % 0.47/0.64 (declare-const tptp.use $$unsorted) % 0.47/0.64 (declare-const tptp.true Bool) % 0.47/0.64 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.n998 $$unsorted) % 0.47/0.64 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.u_defuse $$unsorted) % 0.47/0.64 (declare-const tptp.n3 $$unsorted) % 0.47/0.64 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.47/0.64 (declare-const tptp.n0 $$unsorted) % 0.47/0.64 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.n1 $$unsorted) % 0.47/0.64 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.n5 $$unsorted) % 0.47/0.64 (declare-const tptp.sigma_defuse $$unsorted) % 0.47/0.64 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.xinit_noise_defuse $$unsorted) % 0.47/0.64 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.47/0.64 (declare-const tptp.n4 $$unsorted) % 0.47/0.64 (declare-const tptp.n2 $$unsorted) % 0.47/0.64 (define @t1 () (@var "Y" $$unsorted)) % 0.47/0.64 (define @t2 () (@var "X" $$unsorted)) % 0.47/0.64 (define @t3 () (= @t2 @t1)) % 0.47/0.64 (define @t4 () (tptp.gt @t1 @t2)) % 0.47/0.64 (define @t5 () (tptp.gt @t2 @t1)) % 0.47/0.64 (define @t6 () (@list @t2 @t1)) % 0.47/0.64 (define @t7 () (@var "Z" $$unsorted)) % 0.47/0.64 (define @t8 () (@list @t2 @t1 @t7)) % 0.47/0.64 (define @t9 () (@list @t2)) % 0.47/0.64 (define @t10 () (tptp.leq @t2 @t1)) % 0.47/0.64 (define @t11 () (tptp.succ @t2)) % 0.47/0.64 (define @t12 () (tptp.succ @t1)) % 0.47/0.64 (define @t13 () (@var "C" $$unsorted)) % 0.47/0.64 (define @t14 () (tptp.uniform_int_rnd @t13 @t2)) % 0.47/0.64 (define @t15 () (tptp.leq tptp.n0 @t2)) % 0.47/0.64 (define @t16 () (@list @t2 @t13)) % 0.47/0.64 (define @t17 () (@var "Val" $$unsorted)) % 0.47/0.64 (define @t18 () (@var "I" $$unsorted)) % 0.47/0.64 (define @t19 () (@var "U" $$unsorted)) % 0.47/0.64 (define @t20 () (@var "L" $$unsorted)) % 0.47/0.64 (define @t21 () (tptp.leq @t18 @t19)) % 0.47/0.64 (define @t22 () (@var "J" $$unsorted)) % 0.47/0.64 (define @t23 () (@var "U2" $$unsorted)) % 0.47/0.64 (define @t24 () (@var "L2" $$unsorted)) % 0.47/0.64 (define @t25 () (@var "U1" $$unsorted)) % 0.47/0.64 (define @t26 () (@var "L1" $$unsorted)) % 0.47/0.64 (define @t27 () (@var "A" $$unsorted)) % 0.47/0.64 (define @t28 () (tptp.trans @t27)) % 0.47/0.64 (define @t29 () (@var "N" $$unsorted)) % 0.47/0.64 (define @t30 () (tptp.leq @t22 @t29)) % 0.47/0.64 (define @t31 () (tptp.leq tptp.n0 @t22)) % 0.47/0.64 (define @t32 () (tptp.leq @t18 @t29)) % 0.47/0.64 (define @t33 () (tptp.leq tptp.n0 @t18)) % 0.47/0.64 (define @t34 () (and @t33 @t32 @t31 @t30)) % 0.47/0.64 (define @t35 () (@list @t18 @t22)) % 0.47/0.64 (define @t36 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t27 @t18 @t22) (tptp.a_select3 @t27 @t22 @t18))))) % 0.47/0.64 (define @t37 () (@list @t27 @t29)) % 0.47/0.64 (define @t38 () (tptp.inv @t27)) % 0.47/0.64 (define @t39 () (@var "VAL" $$unsorted)) % 0.47/0.64 (define @t40 () (@var "K" $$unsorted)) % 0.47/0.64 (define @t41 () (tptp.tptp_update3 @t27 @t40 @t40 @t39)) % 0.47/0.64 (define @t42 () (@var "B" $$unsorted)) % 0.47/0.64 (define @t43 () (tptp.tptp_madd @t27 @t42)) % 0.47/0.65 (define @t44 () (= (tptp.a_select3 @t42 @t18 @t22) (tptp.a_select3 @t42 @t22 @t18))) % 0.47/0.65 (define @t45 () (forall @t35 (=> @t34 @t44))) % 0.47/0.65 (define @t46 () (and @t36 @t45)) % 0.47/0.65 (define @t47 () (@list @t27 @t42 @t29)) % 0.47/0.65 (define @t48 () (tptp.tptp_msub @t27 @t42)) % 0.47/0.65 (define @t49 () (tptp.tptp_mmul @t27 (tptp.tptp_mmul @t42 @t28))) % 0.47/0.65 (define @t50 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t49 @t18 @t22) (tptp.a_select3 @t49 @t22 @t18))))) % 0.47/0.65 (define @t51 () (@var "M" $$unsorted)) % 0.47/0.65 (define @t52 () (and @t33 (tptp.leq @t18 @t51) @t31 (tptp.leq @t22 @t51))) % 0.47/0.65 (define @t53 () (@var "E" $$unsorted)) % 0.47/0.65 (define @t54 () (@var "F" $$unsorted)) % 0.47/0.65 (define @t55 () (@var "D" $$unsorted)) % 0.47/0.65 (define @t56 () (tptp.tptp_madd @t27 (tptp.tptp_mmul @t42 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t13 (tptp.tptp_mmul @t55 (tptp.trans @t13))) (tptp.tptp_mmul @t53 (tptp.tptp_mmul @t54 (tptp.trans @t53)))) (tptp.trans @t42))))) % 0.47/0.65 (define @t57 () (@var "Body" $$unsorted)) % 0.47/0.65 (define @t58 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t57)) % 0.47/0.65 (define @t59 () (@list @t57)) % 0.47/0.65 (define @t60 () (tptp.succ @t11)) % 0.47/0.65 (define @t61 () (tptp.succ @t60)) % 0.47/0.65 (define @t62 () (tptp.succ @t61)) % 0.47/0.65 (define @t63 () (tptp.succ @t62)) % 0.47/0.65 (define @t64 () (tptp.pred @t2)) % 0.47/0.65 (define @t65 () (@var "V" $$unsorted)) % 0.47/0.65 (define @t66 () (tptp.tptp_update3 @t2 @t19 @t65 @t39)) % 0.47/0.65 (define @t67 () (@var "VAL2" $$unsorted)) % 0.47/0.65 (define @t68 () (not (= @t18 @t19))) % 0.47/0.65 (define @t69 () (@var "J0" $$unsorted)) % 0.47/0.65 (define @t70 () (@var "I0" $$unsorted)) % 0.47/0.65 (define @t71 () (tptp.leq @t70 @t19)) % 0.47/0.65 (define @t72 () (tptp.leq tptp.n0 @t70)) % 0.47/0.65 (define @t73 () (tptp.tptp_update2 @t2 @t19 @t39)) % 0.47/0.65 (define @t74 () (tptp.a_select2 tptp.sigma_defuse @t53)) % 0.47/0.65 (define @t75 () (tptp.leq @t53 tptp.n5)) % 0.47/0.65 (define @t76 () (tptp.leq tptp.n0 @t53)) % 0.47/0.65 (define @t77 () (and @t76 @t75)) % 0.47/0.65 (define @t78 () (=> @t77 (= @t74 tptp.use))) % 0.47/0.65 (define @t79 () (@list @t53)) % 0.47/0.65 (define @t80 () (forall @t79 @t78)) % 0.47/0.65 (define @t81 () (tptp.a_select3 tptp.z_defuse @t13 @t55)) % 0.47/0.65 (define @t82 () (tptp.leq @t55 tptp.n998)) % 0.47/0.65 (define @t83 () (tptp.leq @t13 tptp.n2)) % 0.47/0.65 (define @t84 () (tptp.leq tptp.n0 @t55)) % 0.47/0.65 (define @t85 () (tptp.leq tptp.n0 @t13)) % 0.47/0.65 (define @t86 () (and @t85 @t84 @t83 @t82)) % 0.47/0.65 (define @t87 () (=> @t86 (= @t81 tptp.use))) % 0.47/0.65 (define @t88 () (@list @t13 @t55)) % 0.47/0.65 (define @t89 () (forall @t88 @t87)) % 0.47/0.65 (define @t90 () (tptp.a_select3 tptp.u_defuse @t27 @t42)) % 0.47/0.65 (define @t91 () (tptp.leq @t42 tptp.n998)) % 0.47/0.65 (define @t92 () (tptp.leq @t27 tptp.n2)) % 0.47/0.65 (define @t93 () (tptp.leq tptp.n0 @t42)) % 0.47/0.65 (define @t94 () (tptp.leq tptp.n0 @t27)) % 0.47/0.65 (define @t95 () (and @t94 @t93 @t92 @t91)) % 0.47/0.65 (define @t96 () (=> @t95 (= @t90 tptp.use))) % 0.47/0.65 (define @t97 () (@list @t27 @t42)) % 0.47/0.65 (define @t98 () (forall @t97 @t96)) % 0.47/0.65 (define @t99 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n5)) % 0.47/0.65 (define @t100 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n4)) % 0.47/0.65 (define @t101 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n3)) % 0.47/0.65 (define @t102 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n2)) % 0.47/0.65 (define @t103 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n1)) % 0.47/0.65 (define @t104 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n0)) % 0.47/0.65 (define @t105 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n5)) % 0.47/0.65 (define @t106 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n4)) % 0.47/0.65 (define @t107 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n3)) % 0.47/0.65 (define @t108 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n2)) % 0.47/0.65 (define @t109 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n1)) % 0.47/0.65 (define @t110 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n0)) % 0.47/0.65 (define @t111 () (tptp.a_select2 tptp.xinit_defuse tptp.n5)) % 0.47/0.65 (define @t112 () (tptp.a_select2 tptp.xinit_defuse tptp.n4)) % 0.47/0.65 (define @t113 () (tptp.a_select2 tptp.xinit_defuse tptp.n3)) % 0.47/0.65 (define @t114 () (tptp.a_select3 tptp.u_defuse tptp.n2 tptp.n0)) % 0.47/0.65 (define @t115 () (tptp.a_select3 tptp.u_defuse tptp.n1 tptp.n0)) % 0.47/0.65 (define @t116 () (tptp.a_select3 tptp.u_defuse tptp.n0 tptp.n0)) % 0.47/0.65 (define @t117 () (tptp.a_select2 tptp.sigma_defuse tptp.n5)) % 0.47/0.65 (define @t118 () (tptp.a_select2 tptp.sigma_defuse tptp.n4)) % 0.47/0.65 (define @t119 () (tptp.a_select2 tptp.sigma_defuse tptp.n3)) % 0.47/0.65 (define @t120 () (tptp.a_select2 tptp.sigma_defuse tptp.n2)) % 0.47/0.65 (define @t121 () (tptp.a_select2 tptp.sigma_defuse tptp.n1)) % 0.47/0.65 (define @t122 () (tptp.a_select2 tptp.sigma_defuse tptp.n0)) % 0.47/0.65 (define @t123 () (tptp.a_select2 tptp.rho_defuse tptp.n2)) % 0.47/0.65 (define @t124 () (tptp.a_select2 tptp.rho_defuse tptp.n1)) % 0.47/0.65 (define @t125 () (tptp.a_select2 tptp.rho_defuse tptp.n0)) % 0.47/0.65 (define @t126 () (and (= @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 tptp.use) (= @t106 tptp.use) (= @t105 tptp.use) (= @t104 tptp.use) (= @t103 tptp.use) (= @t102 tptp.use) (= @t101 tptp.use) (= @t100 tptp.use) (= @t99 tptp.use) @t98 @t89)) % 0.47/0.65 (define @t127 () (=> @t126 @t80)) % 0.47/0.65 (define @t128 () (not @t127)) % 0.47/0.65 (define @t129 () (= @t2 tptp.n4)) % 0.47/0.65 (define @t130 () (= @t2 tptp.n3)) % 0.47/0.65 (define @t131 () (= @t2 tptp.n2)) % 0.47/0.65 (define @t132 () (= @t2 tptp.n1)) % 0.47/0.65 (define @t133 () (= @t2 tptp.n0)) % 0.47/0.65 (define @t134 () (= @t2 tptp.n5)) % 0.47/0.65 (define @t135 () (or @t133 @t132 @t131 @t130 @t129 @t134)) % 0.47/0.65 (define @t136 () (tptp.leq @t2 tptp.n5)) % 0.47/0.65 (define @t137 () (and @t15 @t136)) % 0.47/0.65 (define @t138 () (forall @t9 (=> @t137 @t135))) % 0.47/0.65 (define @t139 () (tptp.succ tptp.n0)) % 0.47/0.65 (define @t140 () (tptp.succ @t139)) % 0.47/0.65 (define @t141 () (tptp.succ @t140)) % 0.47/0.65 (define @t142 () (tptp.succ @t141)) % 0.47/0.65 (define @t143 () (= tptp.use @t74)) % 0.47/0.65 (define @t144 () (not @t75)) % 0.47/0.65 (define @t145 () (not @t76)) % 0.47/0.65 (define @t146 () (or @t145 @t144 @t143)) % 0.47/0.65 (define @t147 () (= tptp.use @t81)) % 0.47/0.65 (define @t148 () (not @t82)) % 0.47/0.65 (define @t149 () (not @t83)) % 0.47/0.65 (define @t150 () (not @t84)) % 0.47/0.65 (define @t151 () (not @t85)) % 0.47/0.65 (define @t152 () (or @t151 @t150 @t149 @t148)) % 0.47/0.65 (define @t153 () (= tptp.use @t90)) % 0.47/0.65 (define @t154 () (not @t91)) % 0.47/0.65 (define @t155 () (not @t92)) % 0.47/0.65 (define @t156 () (not @t93)) % 0.47/0.65 (define @t157 () (not @t94)) % 0.47/0.65 (define @t158 () (or @t157 @t156 @t155 @t154)) % 0.47/0.65 (define @t159 () (@quantifiers_skolemize (forall @t79 @t146) 0)) % 0.47/0.65 (define @t160 () (= tptp.use (tptp.a_select2 tptp.sigma_defuse @t159))) % 0.47/0.65 (define @t161 () (tptp.leq @t159 tptp.n5)) % 0.47/0.65 (define @t162 () (not @t161)) % 0.47/0.65 (define @t163 () (tptp.leq tptp.n0 @t159)) % 0.47/0.65 (define @t164 () (not @t163)) % 0.47/0.65 (define @t165 () (or @t164 @t162 @t160)) % 0.47/0.65 (define @t166 () (@list true)) % 0.47/0.65 (define @t167 () (@list @t165)) % 0.47/0.65 (define @t168 () (not @t136)) % 0.47/0.65 (define @t169 () (not @t15)) % 0.47/0.65 (define @t170 () (or @t169 @t168 @t133 @t132 @t131 @t130 @t129 @t134)) % 0.47/0.65 (define @t171 () (or @t164 @t162 (= @t159 tptp.n0) (= @t159 tptp.n1) (= @t159 tptp.n2) (= @t159 tptp.n3) (= @t159 tptp.n4) (= @t159 tptp.n5))) % 0.47/0.65 (define @t172 () (forall @t9 @t170)) % 0.47/0.65 (define @t173 () (= tptp.n5 @t159)) % 0.47/0.65 (define @t174 () (= tptp.n4 @t159)) % 0.47/0.65 (define @t175 () (= tptp.n3 @t159)) % 0.47/0.65 (define @t176 () (= tptp.n2 @t159)) % 0.47/0.65 (define @t177 () (= tptp.n1 @t159)) % 0.47/0.65 (define @t178 () (= tptp.n0 @t159)) % 0.47/0.65 (define @t179 () (or @t164 @t162 @t178 @t177 @t176 @t175 @t174 @t173)) % 0.47/0.65 (define @t180 () (= tptp.use @t118)) % 0.47/0.65 (define @t181 () (and @t180 @t174)) % 0.47/0.65 (define @t182 () (not @t174)) % 0.47/0.65 (define @t183 () (@list false true)) % 0.47/0.65 (define @t184 () (= tptp.use @t119)) % 0.47/0.65 (define @t185 () (and @t184 @t175)) % 0.47/0.65 (define @t186 () (not @t175)) % 0.47/0.65 (define @t187 () (= tptp.use @t120)) % 0.47/0.65 (define @t188 () (and @t187 @t176)) % 0.47/0.65 (define @t189 () (not @t176)) % 0.47/0.65 (define @t190 () (= tptp.use @t121)) % 0.47/0.65 (define @t191 () (and @t190 @t177)) % 0.47/0.65 (define @t192 () (not @t177)) % 0.47/0.65 (define @t193 () (= tptp.use @t117)) % 0.47/0.65 (define @t194 () (and @t193 @t173)) % 0.47/0.65 (define @t195 () (not @t173)) % 0.47/0.65 (define @t196 () (= tptp.use @t122)) % 0.47/0.65 (define @t197 () (and @t196 @t178)) % 0.47/0.65 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.47/0.65 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.47/0.65 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.47/0.65 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.47/0.65 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.47/0.65 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.47/0.65 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.47/0.65 (assume @p8 (forall @t6 (=> @t4 @t10))) % 0.47/0.65 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.47/0.65 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.47/0.65 (assume @p11 (forall @t9 (tptp.gt @t11 @t2))) % 0.47/0.65 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t12)))) % 0.47/0.65 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t12 @t2)))) % 0.47/0.65 (assume @p14 (forall @t16 (=> @t15 (tptp.leq @t14 @t2)))) % 0.47/0.65 (assume @p15 (forall @t16 (=> @t15 (tptp.leq tptp.n0 @t14)))) % 0.47/0.65 (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)))) % 0.47/0.65 (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)))) % 0.47/0.65 (assume @p18 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t28 @t18 @t22) (tptp.a_select3 @t28 @t22 @t18))))))) % 0.47/0.65 (assume @p19 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t38 @t18 @t22) (tptp.a_select3 @t38 @t22 @t18))))))) % 0.47/0.65 (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))))))) % 0.47/0.65 (assume @p21 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t43 @t18 @t22) (tptp.a_select3 @t43 @t22 @t18))))))) % 0.47/0.65 (assume @p22 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t48 @t18 @t22) (tptp.a_select3 @t48 @t22 @t18))))))) % 0.47/0.65 (assume @p23 (forall @t47 (=> @t45 @t50))) % 0.47/0.65 (assume @p24 (forall (@list @t27 @t42 @t29 @t51) (=> (forall @t35 (=> @t52 @t44)) @t50))) % 0.47/0.65 (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))))))) % 0.47/0.65 (assume @p26 (forall @t59 (= @t58 tptp.n0))) % 0.47/0.65 (assume @p27 (forall @t59 (= tptp.tptp_float_0_0 @t58))) % 0.47/0.65 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.47/0.65 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t11))) % 0.47/0.65 (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t11))) % 0.47/0.65 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t60))) % 0.47/0.65 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t60))) % 0.47/0.65 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t61))) % 0.47/0.65 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t61))) % 0.47/0.65 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t62))) % 0.47/0.65 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t62))) % 0.47/0.65 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t63))) % 0.47/0.65 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t63))) % 0.47/0.65 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t64))) % 0.47/0.65 (assume @p40 (forall @t9 (= (tptp.pred @t11) @t2))) % 0.47/0.65 (assume @p41 (forall @t9 (= (tptp.succ @t64) @t2))) % 0.47/0.65 (assume @p42 (forall @t6 (= (tptp.leq @t11 @t12) @t10))) % 0.47/0.65 (assume @p43 (forall @t6 (=> (tptp.leq @t11 @t1) @t4))) % 0.47/0.65 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.47/0.65 (assume @p45 (forall (@list @t2 @t19 @t65 @t39) (= (tptp.a_select3 @t66 @t19 @t65) @t39))) % 0.47/0.65 (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)))) % 0.47/0.65 (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)))) % 0.47/0.65 (assume @p48 (forall (@list @t2 @t19 @t39) (= (tptp.a_select2 @t73 @t19) @t39))) % 0.47/0.65 (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)))) % 0.47/0.65 (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)))) % 0.47/0.65 (assume @p51 tptp.true) % 0.47/0.65 (assume @p52 (not (= tptp.def tptp.use))) % 0.47/0.65 (assume @p53 @t128) % 0.47/0.65 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.47/0.65 (assume @p55 (tptp.gt tptp.n998 tptp.n4)) % 0.47/0.65 (assume @p56 (tptp.gt tptp.n998 tptp.n5)) % 0.47/0.65 (assume @p57 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.47/0.65 (assume @p58 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.47/0.65 (assume @p59 (tptp.gt tptp.n998 tptp.tptp_minus_1)) % 0.47/0.65 (assume @p60 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.47/0.65 (assume @p61 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.47/0.65 (assume @p62 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.47/0.65 (assume @p63 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.47/0.65 (assume @p64 (tptp.gt tptp.n4 tptp.n0)) % 0.47/0.65 (assume @p65 (tptp.gt tptp.n5 tptp.n0)) % 0.47/0.65 (assume @p66 (tptp.gt tptp.n998 tptp.n0)) % 0.47/0.65 (assume @p67 (tptp.gt tptp.n1 tptp.n0)) % 0.47/0.65 (assume @p68 (tptp.gt tptp.n2 tptp.n0)) % 0.47/0.65 (assume @p69 (tptp.gt tptp.n3 tptp.n0)) % 0.47/0.65 (assume @p70 (tptp.gt tptp.n4 tptp.n1)) % 0.47/0.65 (assume @p71 (tptp.gt tptp.n5 tptp.n1)) % 0.47/0.65 (assume @p72 (tptp.gt tptp.n998 tptp.n1)) % 0.47/0.65 (assume @p73 (tptp.gt tptp.n2 tptp.n1)) % 0.47/0.65 (assume @p74 (tptp.gt tptp.n3 tptp.n1)) % 0.47/0.65 (assume @p75 (tptp.gt tptp.n4 tptp.n2)) % 0.47/0.65 (assume @p76 (tptp.gt tptp.n5 tptp.n2)) % 0.47/0.65 (assume @p77 (tptp.gt tptp.n998 tptp.n2)) % 0.47/0.65 (assume @p78 (tptp.gt tptp.n3 tptp.n2)) % 0.47/0.65 (assume @p79 (tptp.gt tptp.n4 tptp.n3)) % 0.47/0.65 (assume @p80 (tptp.gt tptp.n5 tptp.n3)) % 0.47/0.65 (assume @p81 (tptp.gt tptp.n998 tptp.n3)) % 0.47/0.65 (assume @p82 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n4)) (or @t133 @t132 @t131 @t130 @t129)))) % 0.47/0.65 (assume @p83 @t138) % 0.47/0.65 (assume @p84 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n0)) @t133))) % 0.47/0.65 (assume @p85 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n1)) (or @t133 @t132)))) % 0.47/0.65 (assume @p86 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n2)) (or @t133 @t132 @t131)))) % 0.47/0.65 (assume @p87 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n3)) (or @t133 @t132 @t131 @t130)))) % 0.47/0.65 (assume @p88 (= @t142 tptp.n4)) % 0.47/0.65 (assume @p89 (= (tptp.succ @t142) tptp.n5)) % 0.47/0.65 (assume @p90 (= @t139 tptp.n1)) % 0.47/0.65 (assume @p91 (= @t140 tptp.n2)) % 0.47/0.65 (assume @p92 (= @t141 tptp.n3)) % 0.47/0.65 (assume @p93 true) % 0.47/0.65 (step @p94 :rule aci_norm :args ((= (or (or @t145 @t144) @t143) @t146))) % 0.47/0.65 (step @p95 :rule refl :args (@t143)) % 0.47/0.65 (step @p96 :rule bool-and-de-morgan :args (@t76 @t75 true)) % 0.47/0.65 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or (not @t77) @t143))) % 0.47/0.65 (step @p98 :rule trans :premises (@p97 @p94)) % 0.47/0.65 (step @p99 :rule bool-impl-elim :args (@t77 @t143)) % 0.47/0.65 (step @p100 :rule trans :premises (@p99 @p98)) % 0.47/0.65 (step @p101 :rule cong :premises (@p100) :args ((forall @t79 (=> @t77 @t143)))) % 0.47/0.65 (step @p102 :rule eq-symm :args (@t74 tptp.use)) % 0.47/0.65 (step @p103 :rule refl :args (@t77)) % 0.47/0.65 (step @p104 :rule cong :premises (@p103 @p102) :args (@t78)) % 0.47/0.65 (step @p105 :rule cong :premises (@p104) :args (@t80)) % 0.47/0.65 (step @p106 :rule trans :premises (@p105 @p101)) % 0.47/0.65 (step @p107 :rule aci_norm :args ((= (or @t152 @t147) (or @t151 @t150 @t149 @t148 @t147)))) % 0.47/0.65 (step @p108 :rule refl :args (@t147)) % 0.47/0.65 (step @p109 :rule aci_norm :args ((= (or @t151 (or @t150 (or @t149 @t148))) @t152))) % 0.47/0.65 (step @p110 :rule bool-and-de-morgan :args (@t83 @t82 true)) % 0.47/0.65 (step @p111 :rule refl :args (@t150)) % 0.47/0.65 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or @t150 (not (and @t83 @t82))))) % 0.47/0.65 (step @p113 :rule bool-and-de-morgan :args (@t84 @t83 (and @t82))) % 0.47/0.65 (step @p114 :rule trans :premises (@p113 @p112)) % 0.47/0.65 (step @p115 :rule refl :args (@t151)) % 0.47/0.65 (step @p116 :rule nary_cong :premises (@p115 @p114) :args ((or @t151 (not (and @t84 @t83 @t82))))) % 0.47/0.65 (step @p117 :rule bool-and-de-morgan :args (@t85 @t84 (and @t83 @t82))) % 0.47/0.65 (step @p118 :rule trans :premises (@p117 @p116)) % 0.47/0.65 (step @p119 :rule trans :premises (@p118 @p109)) % 0.47/0.65 (step @p120 :rule nary_cong :premises (@p119 @p108) :args ((or (not @t86) @t147))) % 0.47/0.65 (step @p121 :rule trans :premises (@p120 @p107)) % 0.47/0.65 (step @p122 :rule bool-impl-elim :args (@t86 @t147)) % 0.47/0.65 (step @p123 :rule trans :premises (@p122 @p121)) % 0.47/0.65 (step @p124 :rule cong :premises (@p123) :args ((forall @t88 (=> @t86 @t147)))) % 0.47/0.65 (step @p125 :rule eq-symm :args (@t81 tptp.use)) % 0.47/0.65 (step @p126 :rule refl :args (@t86)) % 0.47/0.65 (step @p127 :rule cong :premises (@p126 @p125) :args (@t87)) % 0.47/0.65 (step @p128 :rule cong :premises (@p127) :args (@t89)) % 0.47/0.65 (step @p129 :rule trans :premises (@p128 @p124)) % 0.47/0.65 (step @p130 :rule aci_norm :args ((= (or @t158 @t153) (or @t157 @t156 @t155 @t154 @t153)))) % 0.47/0.65 (step @p131 :rule refl :args (@t153)) % 0.47/0.65 (step @p132 :rule aci_norm :args ((= (or @t157 (or @t156 (or @t155 @t154))) @t158))) % 0.47/0.65 (step @p133 :rule bool-and-de-morgan :args (@t92 @t91 true)) % 0.47/0.65 (step @p134 :rule refl :args (@t156)) % 0.47/0.65 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t156 (not (and @t92 @t91))))) % 0.47/0.65 (step @p136 :rule bool-and-de-morgan :args (@t93 @t92 (and @t91))) % 0.47/0.65 (step @p137 :rule trans :premises (@p136 @p135)) % 0.47/0.65 (step @p138 :rule refl :args (@t157)) % 0.47/0.65 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((or @t157 (not (and @t93 @t92 @t91))))) % 0.47/0.65 (step @p140 :rule bool-and-de-morgan :args (@t94 @t93 (and @t92 @t91))) % 0.47/0.65 (step @p141 :rule trans :premises (@p140 @p139)) % 0.47/0.65 (step @p142 :rule trans :premises (@p141 @p132)) % 0.47/0.65 (step @p143 :rule nary_cong :premises (@p142 @p131) :args ((or (not @t95) @t153))) % 0.47/0.65 (step @p144 :rule trans :premises (@p143 @p130)) % 0.47/0.65 (step @p145 :rule bool-impl-elim :args (@t95 @t153)) % 0.47/0.65 (step @p146 :rule trans :premises (@p145 @p144)) % 0.47/0.65 (step @p147 :rule cong :premises (@p146) :args ((forall @t97 (=> @t95 @t153)))) % 0.47/0.65 (step @p148 :rule eq-symm :args (@t90 tptp.use)) % 0.47/0.65 (step @p149 :rule refl :args (@t95)) % 0.47/0.65 (step @p150 :rule cong :premises (@p149 @p148) :args (@t96)) % 0.47/0.65 (step @p151 :rule cong :premises (@p150) :args (@t98)) % 0.47/0.65 (step @p152 :rule trans :premises (@p151 @p147)) % 0.47/0.65 (step @p153 :rule eq-symm :args (@t99 tptp.use)) % 0.47/0.65 (step @p154 :rule eq-symm :args (@t100 tptp.use)) % 0.47/0.65 (step @p155 :rule eq-symm :args (@t101 tptp.use)) % 0.47/0.65 (step @p156 :rule eq-symm :args (@t102 tptp.use)) % 0.47/0.65 (step @p157 :rule eq-symm :args (@t103 tptp.use)) % 0.47/0.65 (step @p158 :rule eq-symm :args (@t104 tptp.use)) % 0.47/0.65 (step @p159 :rule eq-symm :args (@t105 tptp.use)) % 0.47/0.65 (step @p160 :rule eq-symm :args (@t106 tptp.use)) % 0.47/0.65 (step @p161 :rule eq-symm :args (@t107 tptp.use)) % 0.47/0.65 (step @p162 :rule eq-symm :args (@t108 tptp.use)) % 0.47/0.65 (step @p163 :rule eq-symm :args (@t109 tptp.use)) % 0.47/0.65 (step @p164 :rule eq-symm :args (@t110 tptp.use)) % 0.47/0.65 (step @p165 :rule eq-symm :args (@t111 tptp.use)) % 0.47/0.65 (step @p166 :rule eq-symm :args (@t112 tptp.use)) % 0.47/0.65 (step @p167 :rule eq-symm :args (@t113 tptp.use)) % 0.47/0.65 (step @p168 :rule eq-symm :args (@t114 tptp.use)) % 0.47/0.65 (step @p169 :rule eq-symm :args (@t115 tptp.use)) % 0.47/0.65 (step @p170 :rule eq-symm :args (@t116 tptp.use)) % 0.47/0.65 (step @p171 :rule eq-symm :args (@t117 tptp.use)) % 0.47/0.65 (step @p172 :rule eq-symm :args (@t118 tptp.use)) % 0.47/0.65 (step @p173 :rule eq-symm :args (@t119 tptp.use)) % 0.47/0.65 (step @p174 :rule eq-symm :args (@t120 tptp.use)) % 0.47/0.65 (step @p175 :rule eq-symm :args (@t121 tptp.use)) % 0.47/0.65 (step @p176 :rule eq-symm :args (@t122 tptp.use)) % 0.47/0.65 (step @p177 :rule eq-symm :args (@t123 tptp.use)) % 0.47/0.65 (step @p178 :rule eq-symm :args (@t124 tptp.use)) % 0.47/0.65 (step @p179 :rule eq-symm :args (@t125 tptp.use)) % 0.47/0.65 (step @p180 :rule nary_cong :premises (@p179 @p178 @p177 @p176 @p175 @p174 @p173 @p172 @p171 @p170 @p169 @p168 @p167 @p166 @p165 @p164 @p163 @p162 @p161 @p160 @p159 @p158 @p157 @p156 @p155 @p154 @p153 @p152 @p129) :args (@t126)) % 0.47/0.65 (step @p181 :rule cong :premises (@p180 @p106) :args (@t127)) % 0.47/0.65 (step @p182 :rule cong :premises (@p181) :args (@t128)) % 0.47/0.65 (step @p183 :rule eq_resolve :premises (@p53 @p182)) % 0.47/0.65 (step @p184 :rule not_implies_elim1 :premises (@p183)) % 0.47/0.65 (step @p185 :rule and_elim :premises (@p184) :args (3)) % 0.47/0.65 (step @p186 :rule not_implies_elim2 :premises (@p183)) % 0.47/0.65 (step @p187 :rule skolemize :premises (@p186)) % 0.47/0.65 (step @p188 :rule cnf_or_neg :args (@t165 2)) % 0.47/0.65 (step @p189 :rule chain_m_resolution :premises (@p188 @p187) :args ((not @t160) @t166 @t167)) % 0.47/0.65 (step @p190 :rule aci_norm :args ((= (or (or @t169 @t168) @t135) @t170))) % 0.47/0.65 (step @p191 :rule refl :args (@t135)) % 0.47/0.65 (step @p192 :rule bool-and-de-morgan :args (@t15 @t136 true)) % 0.47/0.65 (step @p193 :rule nary_cong :premises (@p192 @p191) :args ((or (not @t137) @t135))) % 0.47/0.65 (step @p194 :rule trans :premises (@p193 @p190)) % 0.47/0.65 (step @p195 :rule bool-impl-elim :args (@t137 @t135)) % 0.47/0.65 (step @p196 :rule trans :premises (@p195 @p194)) % 0.47/0.65 (step @p197 :rule cong :premises (@p196) :args (@t138)) % 0.47/0.65 (step @p198 :rule eq_resolve :premises (@p83 @p197)) % 0.47/0.65 (step @p199 :rule eq-symm :args (@t159 tptp.n5)) % 0.47/0.65 (step @p200 :rule eq-symm :args (@t159 tptp.n4)) % 0.47/0.65 (step @p201 :rule eq-symm :args (@t159 tptp.n3)) % 0.47/0.65 (step @p202 :rule eq-symm :args (@t159 tptp.n2)) % 0.47/0.65 (step @p203 :rule eq-symm :args (@t159 tptp.n1)) % 0.47/0.65 (step @p204 :rule eq-symm :args (@t159 tptp.n0)) % 0.47/0.65 (step @p205 :rule refl :args (@t162)) % 0.47/0.65 (step @p206 :rule refl :args (@t164)) % 0.47/0.65 (step @p207 :rule nary_cong :premises (@p206 @p205 @p204 @p203 @p202 @p201 @p200 @p199) :args (@t171)) % 0.47/0.65 (step @p208 :rule refl :args (@t172)) % 0.47/0.65 (step @p209 :rule cong :premises (@p208 @p207) :args ((=> @t172 @t171))) % 0.47/0.65 (assume-push @p353 @t172) % 0.47/0.65 (step @p211 :rule instantiate :premises (@p198) :args ((@list @t159))) % 0.47/0.65 (step-pop @p354 :rule scope :premises (@p211)) % 0.47/0.65 (step @p212 :rule process_scope :premises (@p354) :args (@t171)) % 0.47/0.65 (step @p214 :rule eq_resolve :premises (@p212 @p209)) % 0.47/0.65 (step @p215 :rule implies_elim :premises (@p214)) % 0.47/0.65 (step @p216 :rule chain_m_resolution :premises (@p215 @p198) :args (@t179 (@list false) (@list @t172))) % 0.47/0.65 (step @p217 :rule and_elim :premises (@p184) :args (7)) % 0.47/0.65 (assume-push @p355 @t180) % 0.47/0.65 (assume-push @p356 @t174) % 0.47/0.65 (assume-push @p357 @t174) % 0.47/0.65 (assume-push @p358 @t180) % 0.47/0.65 (step @p222 :rule refl :args (tptp.sigma_defuse)) % 0.47/0.65 (step @p223 :rule cong :premises (@p222 @p356) :args (@t118)) % 0.47/0.65 (step @p224 :rule trans :premises (@p217 @p223)) % 0.47/0.65 (step-pop @p359 :rule scope :premises (@p224)) % 0.47/0.65 (step-pop @p360 :rule scope :premises (@p359)) % 0.47/0.65 (step @p225 :rule process_scope :premises (@p360) :args (@t160)) % 0.47/0.65 (step @p228 :rule and_intro :premises (@p356 @p217)) % 0.47/0.65 (step @p229 :rule modus_ponens :premises (@p228 @p225)) % 0.47/0.65 (step-pop @p361 :rule scope :premises (@p229)) % 0.47/0.65 (step-pop @p362 :rule scope :premises (@p361)) % 0.47/0.65 (step @p230 :rule process_scope :premises (@p362) :args (@t160)) % 0.47/0.65 (step @p233 :rule implies_elim :premises (@p230)) % 0.47/0.65 (step @p234 :rule cnf_and_neg :args (@t181)) % 0.47/0.65 (step @p235 :rule resolution :premises (@p234 @p233) :args (true @t181)) % 0.47/0.65 (step @p236 :rule reordering :premises (@p235) :args ((or (not @t180) @t160 @t182))) % 0.47/0.65 (step @p237 :rule chain_m_resolution :premises (@p236 @p217 @p189) :args (@t182 @t183 (@list @t180 @t160))) % 0.47/0.65 (step @p238 :rule and_elim :premises (@p184) :args (6)) % 0.47/0.65 (assume-push @p363 @t184) % 0.47/0.65 (assume-push @p364 @t175) % 0.47/0.65 (assume-push @p365 @t175) % 0.47/0.65 (assume-push @p366 @t184) % 0.47/0.65 (step @p222 :rule refl :args (tptp.sigma_defuse)) % 0.47/0.65 (step @p243 :rule cong :premises (@p222 @p364) :args (@t119)) % 0.47/0.65 (step @p244 :rule trans :premises (@p238 @p243)) % 0.47/0.65 (step-pop @p367 :rule scope :premises (@p244)) % 0.47/0.65 (step-pop @p368 :rule scope :premises (@p367)) % 0.47/0.65 (step @p245 :rule process_scope :premises (@p368) :args (@t160)) % 0.47/0.65 (step @p248 :rule and_intro :premises (@p364 @p238)) % 0.47/0.65 (step @p249 :rule modus_ponens :premises (@p248 @p245)) % 0.47/0.65 (step-pop @p369 :rule scope :premises (@p249)) % 0.47/0.65 (step-pop @p370 :rule scope :premises (@p369)) % 0.47/0.65 (step @p250 :rule process_scope :premises (@p370) :args (@t160)) % 0.47/0.65 (step @p253 :rule implies_elim :premises (@p250)) % 0.47/0.65 (step @p254 :rule cnf_and_neg :args (@t185)) % 0.47/0.65 (step @p255 :rule resolution :premises (@p254 @p253) :args (true @t185)) % 0.47/0.65 (step @p256 :rule reordering :premises (@p255) :args ((or (not @t184) @t160 @t186))) % 0.47/0.65 (step @p257 :rule chain_m_resolution :premises (@p256 @p238 @p189) :args (@t186 @t183 (@list @t184 @t160))) % 0.47/0.65 (step @p258 :rule and_elim :premises (@p184) :args (5)) % 0.47/0.65 (assume-push @p371 @t187) % 0.47/0.65 (assume-push @p372 @t176) % 0.47/0.65 (assume-push @p373 @t176) % 0.47/0.65 (assume-push @p374 @t187) % 0.47/0.65 (step @p222 :rule refl :args (tptp.sigma_defuse)) % 0.47/0.65 (step @p263 :rule cong :premises (@p222 @p372) :args (@t120)) % 0.47/0.65 (step @p264 :rule trans :premises (@p258 @p263)) % 0.47/0.65 (step-pop @p375 :rule scope :premises (@p264)) % 0.47/0.65 (step-pop @p376 :rule scope :premises (@p375)) % 0.47/0.65 (step @p265 :rule process_scope :premises (@p376) :args (@t160)) % 0.47/0.65 (step @p268 :rule and_intro :premises (@p372 @p258)) % 0.47/0.65 (step @p269 :rule modus_ponens :premises (@p268 @p265)) % 0.47/0.65 (step-pop @p377 :rule scope :premises (@p269)) % 0.47/0.65 (step-pop @p378 :rule scope :premises (@p377)) % 0.47/0.65 (step @p270 :rule process_scope :premises (@p378) :args (@t160)) % 0.47/0.65 (step @p273 :rule implies_elim :premises (@p270)) % 0.47/0.65 (step @p274 :rule cnf_and_neg :args (@t188)) % 0.47/0.65 (step @p275 :rule resolution :premises (@p274 @p273) :args (true @t188)) % 0.47/0.65 (step @p276 :rule reordering :premises (@p275) :args ((or (not @t187) @t160 @t189))) % 0.47/0.65 (step @p277 :rule chain_m_resolution :premises (@p276 @p258 @p189) :args (@t189 @t183 (@list @t187 @t160))) % 0.47/0.65 (step @p278 :rule and_elim :premises (@p184) :args (4)) % 0.47/0.65 (assume-push @p379 @t190) % 0.47/0.65 (assume-push @p380 @t177) % 0.47/0.65 (assume-push @p381 @t177) % 0.47/0.65 (assume-push @p382 @t190) % 0.47/0.65 (step @p222 :rule refl :args (tptp.sigma_defuse)) % 0.47/0.65 (step @p283 :rule cong :premises (@p222 @p380) :args (@t121)) % 0.47/0.65 (step @p284 :rule trans :premises (@p278 @p283)) % 0.47/0.65 (step-pop @p383 :rule scope :premises (@p284)) % 0.47/0.65 (step-pop @p384 :rule scope :premises (@p383)) % 0.47/0.65 (step @p285 :rule process_scope :premises (@p384) :args (@t160)) % 0.47/0.65 (step @p288 :rule and_intro :premises (@p380 @p278)) % 0.47/0.65 (step @p289 :rule modus_ponens :premises (@p288 @p285)) % 0.47/0.65 (step-pop @p385 :rule scope :premises (@p289)) % 0.47/0.65 (step-pop @p386 :rule scope :premises (@p385)) % 0.47/0.65 (step @p290 :rule process_scope :premises (@p386) :args (@t160)) % 0.47/0.65 (step @p293 :rule implies_elim :premises (@p290)) % 0.47/0.65 (step @p294 :rule cnf_and_neg :args (@t191)) % 0.47/0.65 (step @p295 :rule resolution :premises (@p294 @p293) :args (true @t191)) % 0.47/0.65 (step @p296 :rule reordering :premises (@p295) :args ((or (not @t190) @t160 @t192))) % 0.47/0.65 (step @p297 :rule chain_m_resolution :premises (@p296 @p278 @p189) :args (@t192 @t183 (@list @t190 @t160))) % 0.47/0.65 (step @p298 :rule and_elim :premises (@p184) :args (8)) % 0.47/0.65 (assume-push @p387 @t193) % 0.47/0.65 (assume-push @p388 @t173) % 0.47/0.65 (assume-push @p389 @t173) % 0.47/0.65 (assume-push @p390 @t193) % 0.47/0.65 (step @p222 :rule refl :args (tptp.sigma_defuse)) % 0.47/0.65 (step @p303 :rule cong :premises (@p222 @p388) :args (@t117)) % 0.47/0.65 (step @p304 :rule trans :premises (@p298 @p303)) % 0.47/0.65 (step-pop @p391 :rule scope :premises (@p304)) % 0.47/0.65 (step-pop @p392 :rule scope :premises (@p391)) % 0.47/0.65 (step @p305 :rule process_scope :premises (@p392) :args (@t160)) % 0.47/0.65 (step @p308 :rule and_intro :premises (@p388 @p298)) % 0.47/0.65 (step @p309 :rule modus_ponens :premises (@p308 @p305)) % 0.47/0.65 (step-pop @p393 :rule scope :premises (@p309)) % 0.47/0.65 (step-pop @p394 :rule scope :premises (@p393)) % 0.47/0.65 (step @p310 :rule process_scope :premises (@p394) :args (@t160)) % 0.47/0.65 (step @p313 :rule implies_elim :premises (@p310)) % 0.47/0.65 (step @p314 :rule cnf_and_neg :args (@t194)) % 0.47/0.65 (step @p315 :rule resolution :premises (@p314 @p313) :args (true @t194)) % 0.47/0.65 (step @p316 :rule reordering :premises (@p315) :args ((or (not @t193) @t160 @t195))) % 0.47/0.65 (step @p317 :rule chain_m_resolution :premises (@p316 @p298 @p189) :args (@t195 @t183 (@list @t193 @t160))) % 0.47/0.65 (step @p318 :rule bool-double-not-elim :args (@t161)) % 0.47/0.65 (step @p319 :rule refl :args (@t165)) % 0.47/0.65 (step @p320 :rule nary_cong :premises (@p319 @p318) :args ((or @t165 (not @t162)))) % 0.47/0.65 (step @p321 :rule cnf_or_neg :args (@t165 1)) % 0.47/0.65 (step @p322 :rule eq_resolve :premises (@p321 @p320)) % 0.47/0.65 (step @p323 :rule reordering :premises (@p322) :args ((or @t161 @t165))) % 0.47/0.65 (step @p324 :rule chain_m_resolution :premises (@p323 @p187) :args (@t161 @t166 @t167)) % 0.47/0.65 (step @p325 :rule bool-double-not-elim :args (@t163)) % 0.47/0.65 (step @p326 :rule nary_cong :premises (@p319 @p325) :args ((or @t165 (not @t164)))) % 0.47/0.65 (step @p327 :rule cnf_or_neg :args (@t165 0)) % 0.47/0.65 (step @p328 :rule eq_resolve :premises (@p327 @p326)) % 0.47/0.65 (step @p329 :rule reordering :premises (@p328) :args ((or @t163 @t165))) % 0.47/0.65 (step @p330 :rule chain_m_resolution :premises (@p329 @p187) :args (@t163 @t166 @t167)) % 0.47/0.65 (step @p331 :rule cnf_or_pos :args (@t179)) % 0.47/0.65 (step @p332 :rule reordering :premises (@p331) :args ((or @t164 @t162 @t178 @t173 @t177 @t176 @t175 @t174 (not @t179)))) % 0.47/0.65 (step @p333 :rule chain_m_resolution :premises (@p332 @p330 @p324 @p317 @p297 @p277 @p257 @p237 @p216) :args (@t178 (@list false false true true true true true false) (@list @t163 @t161 @t173 @t177 @t176 @t175 @t174 @t179))) % 0.47/0.65 (assume-push @p395 @t196) % 0.47/0.65 (assume-push @p396 @t178) % 0.47/0.65 (assume-push @p397 @t178) % 0.47/0.65 (assume-push @p398 @t196) % 0.47/0.65 (step @p222 :rule refl :args (tptp.sigma_defuse)) % 0.47/0.65 (step @p338 :rule cong :premises (@p222 @p396) :args (@t122)) % 0.47/0.65 (step @p339 :rule trans :premises (@p185 @p338)) % 0.47/0.65 (step-pop @p399 :rule scope :premises (@p339)) % 0.47/0.65 (step-pop @p400 :rule scope :premises (@p399)) % 0.47/0.65 (step @p340 :rule process_scope :premises (@p400) :args (@t160)) % 0.47/0.65 (step @p343 :rule and_intro :premises (@p396 @p185)) % 0.47/0.65 (step @p344 :rule modus_ponens :premises (@p343 @p340)) % 0.47/0.65 (step-pop @p401 :rule scope :premises (@p344)) % 0.47/0.65 (step-pop @p402 :rule scope :premises (@p401)) % 0.47/0.65 (step @p345 :rule process_scope :premises (@p402) :args (@t160)) % 0.47/0.65 (step @p348 :rule implies_elim :premises (@p345)) % 0.47/0.65 (step @p349 :rule cnf_and_neg :args (@t197)) % 0.47/0.65 (step @p350 :rule resolution :premises (@p349 @p348) :args (true @t197)) % 0.47/0.65 (step @p351 :rule reordering :premises (@p350) :args ((or (not @t196) @t160 (not @t178)))) % 0.47/0.65 (step @p352 false :rule chain_m_resolution :premises (@p351 @p333 @p189 @p185) :args (false (@list false true false) (@list @t178 @t160 @t196))) % 0.47/0.65 ) % 0.47/0.65 % SZS output end Proof % 0.47/0.65 % cvc5 exiting %------------------------------------------------------------------------------