%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV190+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 : n003.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 09:00:41 AM UTC 2026 % Result : Theorem 0.45s 0.65s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV190+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n003.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:58:44 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.65 % SZS status Theorem % 0.45/0.65 % SZS output start Proof % 0.45/0.65 ( % 0.45/0.65 (declare-sort $$unsorted 0) % 0.45/0.65 (declare-const tptp.rho_defuse $$unsorted) % 0.45/0.65 (declare-const tptp.xinit_defuse $$unsorted) % 0.45/0.65 (declare-const tptp.xinit_mean_defuse $$unsorted) % 0.45/0.65 (declare-const tptp.def $$unsorted) % 0.45/0.65 (declare-const tptp.use $$unsorted) % 0.45/0.65 (declare-const tptp.true Bool) % 0.45/0.65 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.u_defuse $$unsorted) % 0.45/0.65 (declare-const tptp.n3 $$unsorted) % 0.45/0.65 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.45/0.65 (declare-const tptp.n0 $$unsorted) % 0.45/0.65 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.n1 $$unsorted) % 0.45/0.65 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.n5 $$unsorted) % 0.45/0.65 (declare-const tptp.sigma_defuse $$unsorted) % 0.45/0.65 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.xinit_noise_defuse $$unsorted) % 0.45/0.65 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.45/0.65 (declare-const tptp.n4 $$unsorted) % 0.45/0.65 (declare-const tptp.n2 $$unsorted) % 0.45/0.65 (define @t1 () (@var "Y" $$unsorted)) % 0.45/0.65 (define @t2 () (@var "X" $$unsorted)) % 0.45/0.65 (define @t3 () (= @t2 @t1)) % 0.45/0.65 (define @t4 () (tptp.gt @t1 @t2)) % 0.45/0.65 (define @t5 () (tptp.gt @t2 @t1)) % 0.45/0.65 (define @t6 () (@list @t2 @t1)) % 0.45/0.65 (define @t7 () (@var "Z" $$unsorted)) % 0.45/0.65 (define @t8 () (@list @t2 @t1 @t7)) % 0.45/0.65 (define @t9 () (@list @t2)) % 0.45/0.65 (define @t10 () (tptp.leq @t2 @t7)) % 0.45/0.65 (define @t11 () (tptp.leq @t1 @t7)) % 0.45/0.65 (define @t12 () (tptp.leq @t2 @t1)) % 0.45/0.65 (define @t13 () (and @t12 @t11)) % 0.45/0.65 (define @t14 () (forall @t8 (=> @t13 @t10))) % 0.45/0.65 (define @t15 () (forall @t6 (=> @t4 @t12))) % 0.45/0.65 (define @t16 () (tptp.succ @t2)) % 0.45/0.65 (define @t17 () (tptp.succ @t1)) % 0.45/0.65 (define @t18 () (@var "C" $$unsorted)) % 0.45/0.65 (define @t19 () (tptp.uniform_int_rnd @t18 @t2)) % 0.45/0.65 (define @t20 () (tptp.leq tptp.n0 @t2)) % 0.45/0.65 (define @t21 () (@list @t2 @t18)) % 0.45/0.65 (define @t22 () (@var "Val" $$unsorted)) % 0.45/0.65 (define @t23 () (@var "I" $$unsorted)) % 0.45/0.65 (define @t24 () (@var "U" $$unsorted)) % 0.45/0.65 (define @t25 () (@var "L" $$unsorted)) % 0.45/0.65 (define @t26 () (tptp.leq @t23 @t24)) % 0.45/0.65 (define @t27 () (@var "J" $$unsorted)) % 0.45/0.65 (define @t28 () (@var "U2" $$unsorted)) % 0.45/0.65 (define @t29 () (@var "L2" $$unsorted)) % 0.45/0.65 (define @t30 () (@var "U1" $$unsorted)) % 0.45/0.65 (define @t31 () (@var "L1" $$unsorted)) % 0.45/0.65 (define @t32 () (@var "A" $$unsorted)) % 0.45/0.65 (define @t33 () (tptp.trans @t32)) % 0.45/0.65 (define @t34 () (@var "N" $$unsorted)) % 0.45/0.65 (define @t35 () (tptp.leq @t27 @t34)) % 0.45/0.65 (define @t36 () (tptp.leq tptp.n0 @t27)) % 0.45/0.65 (define @t37 () (tptp.leq @t23 @t34)) % 0.45/0.65 (define @t38 () (tptp.leq tptp.n0 @t23)) % 0.45/0.65 (define @t39 () (and @t38 @t37 @t36 @t35)) % 0.45/0.65 (define @t40 () (@list @t23 @t27)) % 0.45/0.65 (define @t41 () (forall @t40 (=> @t39 (= (tptp.a_select3 @t32 @t23 @t27) (tptp.a_select3 @t32 @t27 @t23))))) % 0.45/0.65 (define @t42 () (@list @t32 @t34)) % 0.45/0.65 (define @t43 () (tptp.inv @t32)) % 0.45/0.65 (define @t44 () (@var "VAL" $$unsorted)) % 0.45/0.65 (define @t45 () (@var "K" $$unsorted)) % 0.45/0.65 (define @t46 () (tptp.tptp_update3 @t32 @t45 @t45 @t44)) % 0.45/0.65 (define @t47 () (@var "B" $$unsorted)) % 0.45/0.65 (define @t48 () (tptp.tptp_madd @t32 @t47)) % 0.45/0.65 (define @t49 () (= (tptp.a_select3 @t47 @t23 @t27) (tptp.a_select3 @t47 @t27 @t23))) % 0.45/0.65 (define @t50 () (forall @t40 (=> @t39 @t49))) % 0.45/0.65 (define @t51 () (and @t41 @t50)) % 0.45/0.65 (define @t52 () (@list @t32 @t47 @t34)) % 0.45/0.65 (define @t53 () (tptp.tptp_msub @t32 @t47)) % 0.45/0.65 (define @t54 () (tptp.tptp_mmul @t32 (tptp.tptp_mmul @t47 @t33))) % 0.45/0.65 (define @t55 () (forall @t40 (=> @t39 (= (tptp.a_select3 @t54 @t23 @t27) (tptp.a_select3 @t54 @t27 @t23))))) % 0.45/0.65 (define @t56 () (@var "M" $$unsorted)) % 0.45/0.65 (define @t57 () (and @t38 (tptp.leq @t23 @t56) @t36 (tptp.leq @t27 @t56))) % 0.45/0.65 (define @t58 () (@var "E" $$unsorted)) % 0.45/0.65 (define @t59 () (@var "F" $$unsorted)) % 0.45/0.65 (define @t60 () (@var "D" $$unsorted)) % 0.45/0.65 (define @t61 () (tptp.tptp_madd @t32 (tptp.tptp_mmul @t47 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t18 (tptp.tptp_mmul @t60 (tptp.trans @t18))) (tptp.tptp_mmul @t58 (tptp.tptp_mmul @t59 (tptp.trans @t58)))) (tptp.trans @t47))))) % 0.45/0.65 (define @t62 () (@var "Body" $$unsorted)) % 0.45/0.65 (define @t63 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t62)) % 0.45/0.65 (define @t64 () (@list @t62)) % 0.45/0.65 (define @t65 () (tptp.succ tptp.tptp_minus_1)) % 0.45/0.65 (define @t66 () (tptp.plus tptp.n1 @t2)) % 0.45/0.65 (define @t67 () (forall @t9 (= @t66 @t16))) % 0.45/0.65 (define @t68 () (tptp.succ @t16)) % 0.45/0.65 (define @t69 () (tptp.plus tptp.n2 @t2)) % 0.45/0.65 (define @t70 () (forall @t9 (= @t69 @t68))) % 0.45/0.65 (define @t71 () (tptp.succ @t68)) % 0.45/0.65 (define @t72 () (tptp.plus tptp.n3 @t2)) % 0.45/0.65 (define @t73 () (forall @t9 (= @t72 @t71))) % 0.45/0.65 (define @t74 () (tptp.succ @t71)) % 0.45/0.65 (define @t75 () (tptp.plus tptp.n4 @t2)) % 0.45/0.65 (define @t76 () (forall @t9 (= @t75 @t74))) % 0.45/0.65 (define @t77 () (tptp.succ @t74)) % 0.45/0.65 (define @t78 () (tptp.plus tptp.n5 @t2)) % 0.45/0.65 (define @t79 () (forall @t9 (= @t78 @t77))) % 0.45/0.65 (define @t80 () (tptp.pred @t2)) % 0.45/0.65 (define @t81 () (@var "V" $$unsorted)) % 0.45/0.65 (define @t82 () (tptp.tptp_update3 @t2 @t24 @t81 @t44)) % 0.45/0.65 (define @t83 () (@var "VAL2" $$unsorted)) % 0.45/0.65 (define @t84 () (not (= @t23 @t24))) % 0.45/0.65 (define @t85 () (@var "J0" $$unsorted)) % 0.45/0.65 (define @t86 () (@var "I0" $$unsorted)) % 0.45/0.65 (define @t87 () (tptp.leq @t86 @t24)) % 0.45/0.65 (define @t88 () (tptp.leq tptp.n0 @t86)) % 0.45/0.65 (define @t89 () (tptp.tptp_update2 @t2 @t24 @t44)) % 0.45/0.65 (define @t90 () (tptp.a_select3 tptp.u_defuse @t32 @t47)) % 0.45/0.65 (define @t91 () (tptp.leq @t47 tptp.tptp_minus_1)) % 0.45/0.65 (define @t92 () (tptp.leq @t32 tptp.n2)) % 0.45/0.65 (define @t93 () (tptp.leq tptp.n0 @t47)) % 0.45/0.65 (define @t94 () (tptp.leq tptp.n0 @t32)) % 0.45/0.65 (define @t95 () (and @t94 @t93 @t92 @t91)) % 0.45/0.65 (define @t96 () (=> @t95 (= @t90 tptp.use))) % 0.45/0.65 (define @t97 () (@list @t32 @t47)) % 0.45/0.65 (define @t98 () (forall @t97 @t96)) % 0.45/0.65 (define @t99 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n5)) % 0.45/0.65 (define @t100 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n4)) % 0.45/0.65 (define @t101 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n3)) % 0.45/0.65 (define @t102 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n2)) % 0.45/0.65 (define @t103 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n1)) % 0.45/0.65 (define @t104 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n0)) % 0.45/0.65 (define @t105 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n5)) % 0.45/0.65 (define @t106 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n4)) % 0.45/0.65 (define @t107 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n3)) % 0.45/0.65 (define @t108 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n2)) % 0.45/0.65 (define @t109 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n1)) % 0.45/0.65 (define @t110 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n0)) % 0.45/0.65 (define @t111 () (tptp.a_select2 tptp.xinit_defuse tptp.n5)) % 0.45/0.65 (define @t112 () (tptp.a_select2 tptp.xinit_defuse tptp.n4)) % 0.45/0.65 (define @t113 () (tptp.a_select2 tptp.xinit_defuse tptp.n3)) % 0.45/0.65 (define @t114 () (tptp.a_select3 tptp.u_defuse tptp.n2 tptp.n0)) % 0.45/0.65 (define @t115 () (tptp.a_select3 tptp.u_defuse tptp.n1 tptp.n0)) % 0.45/0.65 (define @t116 () (tptp.a_select3 tptp.u_defuse tptp.n0 tptp.n0)) % 0.45/0.65 (define @t117 () (tptp.a_select2 tptp.sigma_defuse tptp.n5)) % 0.45/0.65 (define @t118 () (tptp.a_select2 tptp.sigma_defuse tptp.n4)) % 0.45/0.65 (define @t119 () (tptp.a_select2 tptp.sigma_defuse tptp.n3)) % 0.45/0.65 (define @t120 () (tptp.a_select2 tptp.sigma_defuse tptp.n2)) % 0.45/0.65 (define @t121 () (tptp.a_select2 tptp.sigma_defuse tptp.n1)) % 0.45/0.65 (define @t122 () (tptp.a_select2 tptp.sigma_defuse tptp.n0)) % 0.45/0.65 (define @t123 () (tptp.a_select2 tptp.rho_defuse tptp.n2)) % 0.45/0.65 (define @t124 () (tptp.a_select2 tptp.rho_defuse tptp.n1)) % 0.45/0.65 (define @t125 () (tptp.a_select2 tptp.rho_defuse tptp.n0)) % 0.45/0.65 (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))) % 0.45/0.65 (define @t127 () (=> @t126 @t98)) % 0.45/0.65 (define @t128 () (not @t127)) % 0.45/0.65 (define @t129 () (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.45/0.65 (define @t130 () (= @t2 tptp.n4)) % 0.45/0.65 (define @t131 () (= @t2 tptp.n3)) % 0.45/0.65 (define @t132 () (= @t2 tptp.n2)) % 0.45/0.65 (define @t133 () (= @t2 tptp.n1)) % 0.45/0.65 (define @t134 () (= @t2 tptp.n0)) % 0.45/0.65 (define @t135 () (tptp.leq @t2 tptp.n0)) % 0.45/0.65 (define @t136 () (and @t20 @t135)) % 0.45/0.65 (define @t137 () (forall @t9 (=> @t136 @t134))) % 0.45/0.65 (define @t138 () (or @t134 @t133 @t132)) % 0.45/0.65 (define @t139 () (tptp.leq @t2 tptp.n2)) % 0.45/0.65 (define @t140 () (and @t20 @t139)) % 0.45/0.65 (define @t141 () (forall @t9 (=> @t140 @t138))) % 0.45/0.65 (define @t142 () (tptp.succ tptp.n0)) % 0.45/0.65 (define @t143 () (tptp.succ @t142)) % 0.45/0.65 (define @t144 () (tptp.succ @t143)) % 0.45/0.65 (define @t145 () (tptp.succ @t144)) % 0.45/0.65 (define @t146 () (tptp.succ @t145)) % 0.45/0.65 (define @t147 () (= tptp.use @t90)) % 0.45/0.65 (define @t148 () (not @t91)) % 0.45/0.65 (define @t149 () (not @t92)) % 0.45/0.65 (define @t150 () (not @t93)) % 0.45/0.65 (define @t151 () (not @t94)) % 0.45/0.65 (define @t152 () (or @t151 @t150 @t149 @t148 @t147)) % 0.45/0.65 (define @t153 () (or @t151 @t150 @t149 @t148)) % 0.45/0.65 (define @t154 () (forall @t97 @t152)) % 0.45/0.65 (define @t155 () (@quantifiers_skolemize @t154 0)) % 0.45/0.65 (define @t156 () (tptp.leq tptp.n0 @t155)) % 0.45/0.65 (define @t157 () (@quantifiers_skolemize @t154 1)) % 0.45/0.65 (define @t158 () (= tptp.use (tptp.a_select3 tptp.u_defuse @t155 @t157))) % 0.45/0.65 (define @t159 () (tptp.leq @t157 tptp.tptp_minus_1)) % 0.45/0.65 (define @t160 () (not @t159)) % 0.45/0.65 (define @t161 () (tptp.leq @t155 tptp.n2)) % 0.45/0.65 (define @t162 () (not @t161)) % 0.45/0.65 (define @t163 () (tptp.leq tptp.n0 @t157)) % 0.45/0.65 (define @t164 () (not @t163)) % 0.45/0.65 (define @t165 () (not @t156)) % 0.45/0.65 (define @t166 () (or @t165 @t164 @t162 @t160 @t158)) % 0.45/0.65 (define @t167 () (@list true)) % 0.45/0.65 (define @t168 () (@list @t166)) % 0.45/0.65 (define @t169 () (not @t139)) % 0.45/0.65 (define @t170 () (not @t20)) % 0.45/0.65 (define @t171 () (or @t170 @t169 @t134 @t133 @t132)) % 0.45/0.65 (define @t172 () (or @t165 @t162 (= @t155 tptp.n0) (= @t155 tptp.n1) (= @t155 tptp.n2))) % 0.45/0.65 (define @t173 () (forall @t9 @t171)) % 0.45/0.65 (define @t174 () (= tptp.n2 @t155)) % 0.45/0.65 (define @t175 () (= tptp.n1 @t155)) % 0.45/0.65 (define @t176 () (= tptp.n0 @t155)) % 0.45/0.65 (define @t177 () (or @t165 @t162 @t176 @t175 @t174)) % 0.45/0.65 (define @t178 () (@list false)) % 0.45/0.65 (define @t179 () (not @t135)) % 0.45/0.65 (define @t180 () (or @t170 @t179 @t134)) % 0.45/0.65 (define @t181 () (tptp.leq @t157 tptp.n0)) % 0.45/0.65 (define @t182 () (not @t181)) % 0.45/0.65 (define @t183 () (or @t164 @t182 (= @t157 tptp.n0))) % 0.45/0.65 (define @t184 () (forall @t9 @t180)) % 0.45/0.65 (define @t185 () (= tptp.n0 @t157)) % 0.45/0.65 (define @t186 () (or @t164 @t182 @t185)) % 0.45/0.65 (define @t187 () (@list @t184)) % 0.45/0.65 (define @t188 () (not @t11)) % 0.45/0.65 (define @t189 () (not @t12)) % 0.45/0.65 (define @t190 () (tptp.leq tptp.tptp_minus_1 tptp.n0)) % 0.45/0.65 (define @t191 () (not @t129)) % 0.45/0.65 (define @t192 () (or @t191 @t190)) % 0.45/0.65 (define @t193 () (not @t190)) % 0.45/0.65 (define @t194 () (or @t160 @t193 @t181)) % 0.45/0.65 (define @t195 () (@list false false false)) % 0.45/0.65 (define @t196 () (= tptp.use @t115)) % 0.45/0.65 (define @t197 () (and @t196 @t185 @t175)) % 0.45/0.65 (define @t198 () (not @t175)) % 0.45/0.65 (define @t199 () (tptp.leq tptp.n0 tptp.tptp_minus_1)) % 0.45/0.65 (define @t200 () (not @t199)) % 0.45/0.65 (define @t201 () (or @t200 @t193 (= tptp.tptp_minus_1 tptp.n0))) % 0.45/0.65 (define @t202 () (@list tptp.tptp_minus_1)) % 0.45/0.65 (define @t203 () (= tptp.n0 tptp.tptp_minus_1)) % 0.45/0.65 (define @t204 () (or @t200 @t193 @t203)) % 0.45/0.65 (define @t205 () (or @t164 @t160 @t199)) % 0.45/0.65 (define @t206 () (@list tptp.n0)) % 0.45/0.65 (define @t207 () (not @t174)) % 0.45/0.65 (define @t208 () (not @t203)) % 0.45/0.65 (define @t209 () (= @t146 (tptp.plus tptp.n5 tptp.n0))) % 0.45/0.65 (define @t210 () (not @t209)) % 0.45/0.65 (define @t211 () (tptp.plus tptp.n5 tptp.tptp_minus_1)) % 0.45/0.65 (define @t212 () (tptp.succ @t65)) % 0.45/0.65 (define @t213 () (tptp.succ @t212)) % 0.45/0.65 (define @t214 () (tptp.succ @t213)) % 0.45/0.65 (define @t215 () (= (tptp.succ @t214) @t211)) % 0.45/0.65 (define @t216 () (not @t215)) % 0.45/0.65 (define @t217 () (= @t145 (tptp.plus tptp.n4 tptp.n0))) % 0.45/0.65 (define @t218 () (not @t217)) % 0.45/0.65 (define @t219 () (tptp.plus tptp.n4 tptp.tptp_minus_1)) % 0.45/0.65 (define @t220 () (= @t214 @t219)) % 0.45/0.65 (define @t221 () (not @t220)) % 0.45/0.65 (define @t222 () (= @t144 (tptp.plus tptp.n3 tptp.n0))) % 0.45/0.65 (define @t223 () (not @t222)) % 0.45/0.65 (define @t224 () (tptp.plus tptp.n3 tptp.tptp_minus_1)) % 0.45/0.65 (define @t225 () (= @t213 @t224)) % 0.45/0.65 (define @t226 () (not @t225)) % 0.45/0.65 (define @t227 () (= @t143 (tptp.plus tptp.n2 tptp.n0))) % 0.45/0.65 (define @t228 () (not @t227)) % 0.45/0.65 (define @t229 () (tptp.plus tptp.n2 tptp.tptp_minus_1)) % 0.45/0.65 (define @t230 () (= @t212 @t229)) % 0.45/0.65 (define @t231 () (not @t230)) % 0.45/0.65 (define @t232 () (= tptp.n2 @t143)) % 0.45/0.65 (define @t233 () (not @t232)) % 0.45/0.65 (define @t234 () (= tptp.n1 @t142)) % 0.45/0.65 (define @t235 () (not @t234)) % 0.45/0.65 (define @t236 () (= tptp.n5 @t146)) % 0.45/0.65 (define @t237 () (not @t236)) % 0.45/0.65 (define @t238 () (= tptp.n0 @t65)) % 0.45/0.65 (define @t239 () (not @t238)) % 0.45/0.65 (define @t240 () (not @t198)) % 0.45/0.65 (define @t241 () (= tptp.n1 tptp.n5)) % 0.45/0.65 (define @t242 () (and @t238 @t236 @t234 @t232 @t230 @t227 @t225 @t222 @t220 @t217 @t215 @t209 @t198 @t203)) % 0.45/0.65 (define @t243 () (not @t176)) % 0.45/0.65 (define @t244 () (tptp.plus tptp.n1 tptp.tptp_minus_1)) % 0.45/0.65 (define @t245 () (= @t65 @t244)) % 0.45/0.65 (define @t246 () (not @t245)) % 0.45/0.65 (define @t247 () (= @t142 (tptp.plus tptp.n1 tptp.n0))) % 0.45/0.65 (define @t248 () (not @t247)) % 0.45/0.65 (define @t249 () (and @t238 @t236 @t234 @t247 @t245 @t230 @t227 @t225 @t222 @t220 @t217 @t215 @t209 @t198 @t203)) % 0.45/0.65 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.45/0.65 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.45/0.65 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.45/0.65 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.45/0.65 (assume @p5 @t14) % 0.45/0.65 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.45/0.65 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.45/0.65 (assume @p8 @t15) % 0.45/0.65 (assume @p9 (forall @t6 (=> (and @t12 (not @t3)) @t4))) % 0.45/0.65 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.45/0.65 (assume @p11 (forall @t9 (tptp.gt @t16 @t2))) % 0.45/0.65 (assume @p12 (forall @t6 (=> @t12 (tptp.leq @t2 @t17)))) % 0.45/0.65 (assume @p13 (forall @t6 (= @t12 (tptp.gt @t17 @t2)))) % 0.45/0.65 (assume @p14 (forall @t21 (=> @t20 (tptp.leq @t19 @t2)))) % 0.45/0.65 (assume @p15 (forall @t21 (=> @t20 (tptp.leq tptp.n0 @t19)))) % 0.45/0.65 (assume @p16 (forall (@list @t23 @t25 @t24 @t22) (=> (and (tptp.leq @t25 @t23) @t26) (= (tptp.a_select2 (tptp.tptp_const_array1 (tptp.dim @t25 @t24) @t22) @t23) @t22)))) % 0.45/0.65 (assume @p17 (forall (@list @t23 @t31 @t30 @t27 @t29 @t28 @t22) (=> (and (tptp.leq @t31 @t23) (tptp.leq @t23 @t30) (tptp.leq @t29 @t27) (tptp.leq @t27 @t28)) (= (tptp.a_select3 (tptp.tptp_const_array2 (tptp.dim @t31 @t30) (tptp.dim @t29 @t28) @t22) @t23 @t27) @t22)))) % 0.45/0.65 (assume @p18 (forall @t42 (=> @t41 (forall @t40 (=> @t39 (= (tptp.a_select3 @t33 @t23 @t27) (tptp.a_select3 @t33 @t27 @t23))))))) % 0.45/0.65 (assume @p19 (forall @t42 (=> @t41 (forall @t40 (=> @t39 (= (tptp.a_select3 @t43 @t23 @t27) (tptp.a_select3 @t43 @t27 @t23))))))) % 0.45/0.65 (assume @p20 (forall @t42 (=> @t41 (forall (@list @t23 @t27 @t45 @t44) (=> (and @t38 @t37 @t36 @t35 (tptp.leq tptp.n0 @t45) (tptp.leq @t45 @t34)) (= (tptp.a_select3 @t46 @t23 @t27) (tptp.a_select3 @t46 @t27 @t23))))))) % 0.45/0.65 (assume @p21 (forall @t52 (=> @t51 (forall @t40 (=> @t39 (= (tptp.a_select3 @t48 @t23 @t27) (tptp.a_select3 @t48 @t27 @t23))))))) % 0.45/0.65 (assume @p22 (forall @t52 (=> @t51 (forall @t40 (=> @t39 (= (tptp.a_select3 @t53 @t23 @t27) (tptp.a_select3 @t53 @t27 @t23))))))) % 0.45/0.65 (assume @p23 (forall @t52 (=> @t50 @t55))) % 0.45/0.65 (assume @p24 (forall (@list @t32 @t47 @t34 @t56) (=> (forall @t40 (=> @t57 @t49)) @t55))) % 0.45/0.65 (assume @p25 (forall (@list @t32 @t47 @t18 @t60 @t58 @t59 @t34 @t56) (=> (and (forall @t40 (=> @t57 (= (tptp.a_select3 @t60 @t23 @t27) (tptp.a_select3 @t60 @t27 @t23)))) @t41 (forall @t40 (=> @t39 (= (tptp.a_select3 @t59 @t23 @t27) (tptp.a_select3 @t59 @t27 @t23))))) (forall @t40 (=> @t39 (= (tptp.a_select3 @t61 @t23 @t27) (tptp.a_select3 @t61 @t27 @t23))))))) % 0.45/0.65 (assume @p26 (forall @t64 (= @t63 tptp.n0))) % 0.45/0.65 (assume @p27 (forall @t64 (= tptp.tptp_float_0_0 @t63))) % 0.45/0.65 (assume @p28 (= @t65 tptp.n0)) % 0.45/0.65 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t16))) % 0.45/0.65 (assume @p30 @t67) % 0.45/0.65 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t68))) % 0.45/0.65 (assume @p32 @t70) % 0.45/0.65 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t71))) % 0.45/0.65 (assume @p34 @t73) % 0.45/0.65 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t74))) % 0.45/0.65 (assume @p36 @t76) % 0.45/0.65 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t77))) % 0.45/0.65 (assume @p38 @t79) % 0.45/0.65 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t80))) % 0.45/0.65 (assume @p40 (forall @t9 (= (tptp.pred @t16) @t2))) % 0.45/0.65 (assume @p41 (forall @t9 (= (tptp.succ @t80) @t2))) % 0.45/0.65 (assume @p42 (forall @t6 (= (tptp.leq @t16 @t17) @t12))) % 0.45/0.65 (assume @p43 (forall @t6 (=> (tptp.leq @t16 @t1) @t4))) % 0.45/0.65 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.45/0.65 (assume @p45 (forall (@list @t2 @t24 @t81 @t44) (= (tptp.a_select3 @t82 @t24 @t81) @t44))) % 0.45/0.65 (assume @p46 (forall (@list @t23 @t27 @t24 @t81 @t2 @t44 @t83) (=> (and @t84 (= @t27 @t81) (= (tptp.a_select3 @t2 @t24 @t81) @t44)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t23 @t27 @t83) @t24 @t81) @t44)))) % 0.45/0.65 (assume @p47 (forall (@list @t23 @t27 @t24 @t81 @t2 @t44) (=> (and (forall (@list @t86 @t85) (=> (and @t88 (tptp.leq tptp.n0 @t85) @t87 (tptp.leq @t85 @t81)) (= (tptp.a_select3 @t2 @t86 @t85) @t44))) @t38 @t26 @t36 (tptp.leq @t27 @t81)) (= (tptp.a_select3 @t82 @t23 @t27) @t44)))) % 0.45/0.65 (assume @p48 (forall (@list @t2 @t24 @t44) (= (tptp.a_select2 @t89 @t24) @t44))) % 0.45/0.65 (assume @p49 (forall (@list @t23 @t24 @t2 @t44 @t83) (=> (and @t84 (= (tptp.a_select2 @t2 @t24) @t44)) (= (tptp.a_select2 (tptp.tptp_update2 @t2 @t23 @t83) @t24) @t44)))) % 0.45/0.65 (assume @p50 (forall (@list @t23 @t24 @t2 @t44) (=> (and (forall (@list @t86) (=> (and @t88 @t87) (= (tptp.a_select2 @t2 @t86) @t44))) @t38 @t26) (= (tptp.a_select2 @t89 @t23) @t44)))) % 0.45/0.65 (assume @p51 tptp.true) % 0.45/0.65 (assume @p52 (not (= tptp.def tptp.use))) % 0.45/0.65 (assume @p53 @t128) % 0.45/0.65 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.45/0.65 (assume @p55 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.45/0.65 (assume @p56 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.45/0.65 (assume @p57 @t129) % 0.45/0.65 (assume @p58 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.45/0.65 (assume @p59 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.45/0.65 (assume @p60 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.45/0.65 (assume @p61 (tptp.gt tptp.n4 tptp.n0)) % 0.45/0.65 (assume @p62 (tptp.gt tptp.n5 tptp.n0)) % 0.45/0.65 (assume @p63 (tptp.gt tptp.n1 tptp.n0)) % 0.45/0.65 (assume @p64 (tptp.gt tptp.n2 tptp.n0)) % 0.45/0.65 (assume @p65 (tptp.gt tptp.n3 tptp.n0)) % 0.45/0.65 (assume @p66 (tptp.gt tptp.n4 tptp.n1)) % 0.45/0.65 (assume @p67 (tptp.gt tptp.n5 tptp.n1)) % 0.45/0.65 (assume @p68 (tptp.gt tptp.n2 tptp.n1)) % 0.45/0.65 (assume @p69 (tptp.gt tptp.n3 tptp.n1)) % 0.45/0.65 (assume @p70 (tptp.gt tptp.n4 tptp.n2)) % 0.45/0.65 (assume @p71 (tptp.gt tptp.n5 tptp.n2)) % 0.45/0.65 (assume @p72 (tptp.gt tptp.n3 tptp.n2)) % 0.45/0.65 (assume @p73 (tptp.gt tptp.n4 tptp.n3)) % 0.45/0.65 (assume @p74 (tptp.gt tptp.n5 tptp.n3)) % 0.45/0.65 (assume @p75 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n4)) (or @t134 @t133 @t132 @t131 @t130)))) % 0.45/0.65 (assume @p76 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n5)) (or @t134 @t133 @t132 @t131 @t130 (= @t2 tptp.n5))))) % 0.45/0.65 (assume @p77 @t137) % 0.45/0.65 (assume @p78 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n1)) (or @t134 @t133)))) % 0.45/0.65 (assume @p79 @t141) % 0.45/0.65 (assume @p80 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n3)) (or @t134 @t133 @t132 @t131)))) % 0.45/0.65 (assume @p81 (= @t145 tptp.n4)) % 0.45/0.65 (assume @p82 (= @t146 tptp.n5)) % 0.45/0.65 (assume @p83 (= @t142 tptp.n1)) % 0.45/0.65 (assume @p84 (= @t143 tptp.n2)) % 0.45/0.65 (assume @p85 (= @t144 tptp.n3)) % 0.45/0.65 (assume @p86 true) % 0.45/0.65 (step @p87 :rule aci_norm :args ((= (or @t153 @t147) @t152))) % 0.45/0.65 (step @p88 :rule refl :args (@t147)) % 0.45/0.65 (step @p89 :rule aci_norm :args ((= (or @t151 (or @t150 (or @t149 @t148))) @t153))) % 0.45/0.65 (step @p90 :rule bool-and-de-morgan :args (@t92 @t91 true)) % 0.45/0.65 (step @p91 :rule refl :args (@t150)) % 0.45/0.65 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t150 (not (and @t92 @t91))))) % 0.45/0.65 (step @p93 :rule bool-and-de-morgan :args (@t93 @t92 (and @t91))) % 0.45/0.65 (step @p94 :rule trans :premises (@p93 @p92)) % 0.45/0.65 (step @p95 :rule refl :args (@t151)) % 0.45/0.65 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t151 (not (and @t93 @t92 @t91))))) % 0.45/0.65 (step @p97 :rule bool-and-de-morgan :args (@t94 @t93 (and @t92 @t91))) % 0.45/0.65 (step @p98 :rule trans :premises (@p97 @p96)) % 0.45/0.65 (step @p99 :rule trans :premises (@p98 @p89)) % 0.45/0.65 (step @p100 :rule nary_cong :premises (@p99 @p88) :args ((or (not @t95) @t147))) % 0.45/0.65 (step @p101 :rule trans :premises (@p100 @p87)) % 0.45/0.65 (step @p102 :rule bool-impl-elim :args (@t95 @t147)) % 0.45/0.65 (step @p103 :rule trans :premises (@p102 @p101)) % 0.45/0.65 (step @p104 :rule cong :premises (@p103) :args ((forall @t97 (=> @t95 @t147)))) % 0.45/0.65 (step @p105 :rule eq-symm :args (@t90 tptp.use)) % 0.45/0.65 (step @p106 :rule refl :args (@t95)) % 0.45/0.65 (step @p107 :rule cong :premises (@p106 @p105) :args (@t96)) % 0.45/0.65 (step @p108 :rule cong :premises (@p107) :args (@t98)) % 0.45/0.65 (step @p109 :rule trans :premises (@p108 @p104)) % 0.45/0.65 (step @p110 :rule eq-symm :args (@t99 tptp.use)) % 0.45/0.65 (step @p111 :rule eq-symm :args (@t100 tptp.use)) % 0.45/0.65 (step @p112 :rule eq-symm :args (@t101 tptp.use)) % 0.45/0.65 (step @p113 :rule eq-symm :args (@t102 tptp.use)) % 0.45/0.65 (step @p114 :rule eq-symm :args (@t103 tptp.use)) % 0.45/0.65 (step @p115 :rule eq-symm :args (@t104 tptp.use)) % 0.45/0.65 (step @p116 :rule eq-symm :args (@t105 tptp.use)) % 0.45/0.65 (step @p117 :rule eq-symm :args (@t106 tptp.use)) % 0.45/0.65 (step @p118 :rule eq-symm :args (@t107 tptp.use)) % 0.45/0.65 (step @p119 :rule eq-symm :args (@t108 tptp.use)) % 0.45/0.65 (step @p120 :rule eq-symm :args (@t109 tptp.use)) % 0.45/0.65 (step @p121 :rule eq-symm :args (@t110 tptp.use)) % 0.45/0.65 (step @p122 :rule eq-symm :args (@t111 tptp.use)) % 0.45/0.65 (step @p123 :rule eq-symm :args (@t112 tptp.use)) % 0.45/0.65 (step @p124 :rule eq-symm :args (@t113 tptp.use)) % 0.45/0.65 (step @p125 :rule eq-symm :args (@t114 tptp.use)) % 0.45/0.65 (step @p126 :rule eq-symm :args (@t115 tptp.use)) % 0.45/0.65 (step @p127 :rule eq-symm :args (@t116 tptp.use)) % 0.45/0.65 (step @p128 :rule eq-symm :args (@t117 tptp.use)) % 0.45/0.65 (step @p129 :rule eq-symm :args (@t118 tptp.use)) % 0.45/0.65 (step @p130 :rule eq-symm :args (@t119 tptp.use)) % 0.45/0.65 (step @p131 :rule eq-symm :args (@t120 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@p379 :rule cong :premises (@p307) :args (@t142)) % 0.45/0.65 (step @p380 :rule symm :premises (@p83)) % 0.45/0.65 (step @p381 :rule trans :premises (@p380 @p379 @p378 @p377 @p375 @p374 @p373 @p372 @p371 @p370 @p369 @p368 @p367 @p366 @p365 @p364 @p363 @p82)) % 0.45/0.65 (step @p382 :rule trans :premises (@p381 @p362)) % 0.45/0.65 (step @p383 :rule symm :premises (@p382)) % 0.45/0.65 (step @p384 :rule cong :premises (@p383 @p342) :args (@t174)) % 0.45/0.65 (step @p385 :rule trans :premises (@p384 @p341)) % 0.45/0.65 (step @p386 :rule false_elim :premises (@p385)) % 0.45/0.65 (step-pop @p539 :rule scope :premises (@p386)) % 0.45/0.65 (step-pop @p540 :rule scope :premises (@p539)) % 0.45/0.65 (step-pop @p541 :rule scope :premises (@p540)) % 0.45/0.65 (step @p387 :rule process_scope :premises (@p541) :args (@t207)) % 0.45/0.65 (step @p343 :rule symm :premises (@p287)) % 0.45/0.65 (step @p344 :rule symm :premises (@p283)) % 0.45/0.65 (step @p345 :rule refl :args (tptp.n5)) % 0.45/0.65 (step @p346 :rule cong :premises (@p345 @p344) :args (@t211)) % 0.45/0.65 (step @p348 :rule cong :premises (@p307) :args (@t142)) % 0.45/0.65 (step @p349 :rule cong :premises (@p348) :args (@t143)) % 0.45/0.65 (step @p350 :rule cong :premises (@p349) :args (@t144)) % 0.45/0.65 (step @p351 :rule cong :premises (@p350) :args (@t145)) % 0.45/0.65 (step @p352 :rule symm :premises (@p292)) % 0.45/0.65 (step @p353 :rule refl :args (tptp.n4)) % 0.45/0.65 (step @p354 :rule cong :premises (@p353 @p344) :args (@t219)) % 0.45/0.65 (step @p356 :rule symm :premises (@p297)) % 0.45/0.65 (step @p357 :rule refl :args (tptp.n3)) % 0.45/0.65 (step @p358 :rule cong :premises (@p357 @p344) :args (@t224)) % 0.45/0.65 (step @p391 :rule trans :premises (@p304 @p349 @p298 @p358 @p356 @p350 @p293 @p354 @p352 @p351 @p288 @p346 @p343 @p82)) % 0.45/0.65 (step @p375 :rule symm :premises (@p302)) % 0.45/0.65 (step @p376 :rule refl :args (tptp.n2)) % 0.45/0.65 (step @p377 :rule cong :premises (@p376 @p344) :args (@t229)) % 0.45/0.65 (step @p392 :rule trans :premises (@p305 @p348 @p303 @p377 @p375 @p349 @p298 @p358 @p356 @p350 @p293 @p354 @p352 @p351 @p288 @p346 @p343 @p82)) % 0.45/0.65 (step @p393 :rule and_intro :premises (@p534 @p392 @p391)) % 0.45/0.65 (step @p394 :rule modus_ponens :premises (@p393 @p387)) % 0.45/0.65 (step-pop @p542 :rule scope :premises (@p394)) % 0.45/0.65 (step-pop @p543 :rule scope :premises (@p542)) % 0.45/0.65 (step-pop @p544 :rule scope :premises (@p543)) % 0.45/0.65 (step-pop @p545 :rule scope :premises (@p544)) % 0.45/0.65 (step-pop @p546 :rule scope :premises (@p545)) % 0.45/0.65 (step-pop @p547 :rule scope :premises (@p546)) % 0.45/0.65 (step-pop @p548 :rule scope :premises (@p547)) % 0.45/0.65 (step-pop @p549 :rule scope :premises (@p548)) % 0.45/0.65 (step-pop @p550 :rule scope :premises (@p549)) % 0.45/0.65 (step-pop @p551 :rule scope :premises (@p550)) % 0.45/0.65 (step-pop @p552 :rule scope :premises (@p551)) % 0.45/0.65 (step-pop @p553 :rule scope :premises (@p552)) % 0.45/0.65 (step-pop @p554 :rule scope :premises (@p553)) % 0.45/0.65 (step-pop @p555 :rule scope :premises (@p554)) % 0.45/0.65 (step @p395 :rule process_scope :premises (@p555) :args (@t207)) % 0.45/0.65 (step @p410 :rule implies_elim :premises (@p395)) % 0.45/0.65 (step @p411 :rule cnf_and_neg :args (@t242)) % 0.45/0.65 (step @p412 :rule resolution :premises (@p411 @p410) :args (true @t242)) % 0.45/0.65 (step @p413 :rule eq_resolve :premises (@p412 @p323)) % 0.45/0.65 (step @p414 :rule reordering :premises (@p413) :args ((or @t239 @t237 @t235 @t233 @t175 @t207 @t231 @t228 @t226 @t223 @t221 @t218 @t216 @t210 @t208))) % 0.45/0.65 (step @p415 :rule chain_m_resolution :premises (@p414 @p307 @p306 @p305 @p304 @p264 @p303 @p302 @p298 @p297 @p293 @p292 @p288 @p287 @p283) :args (@t207 (@list false false false false true false false false false false false false false false) (@list @t238 @t236 @t234 @t232 @t175 @t230 @t227 @t225 @t222 @t220 @t217 @t215 @t209 @t203))) % 0.45/0.65 (step @p416 :rule eq-symm :args (@t66 @t16)) % 0.45/0.65 (step @p417 :rule cong :premises (@p416) :args (@t67)) % 0.45/0.65 (step @p418 :rule eq_resolve :premises (@p30 @p417)) % 0.45/0.65 (step @p419 :rule instantiate :premises (@p418) :args (@t202)) % 0.45/0.65 (step @p420 :rule instantiate :premises (@p418) :args (@t206)) % 0.45/0.65 (step @p421 :rule refl :args (@t243)) % 0.45/0.65 (step @p422 :rule refl :args (@t246)) % 0.45/0.65 (step @p423 :rule refl :args (@t248)) % 0.45/0.65 (step @p424 :rule nary_cong :premises (@p322 @p321 @p320 @p423 @p422 @p318 @p317 @p316 @p315 @p314 @p313 @p312 @p311 @p310 @p309 @p421) :args ((or @t239 @t237 @t235 @t248 @t246 @t231 @t228 @t226 @t223 @t221 @t218 @t216 @t210 @t240 @t208 @t243))) % 0.45/0.65 (assume-push @p556 @t238) % 0.45/0.65 (assume-push @p557 @t236) % 0.45/0.65 (assume-push @p558 @t234) % 0.45/0.65 (assume-push @p559 @t247) % 0.45/0.65 (assume-push @p560 @t245) % 0.45/0.65 (assume-push @p561 @t230) % 0.45/0.65 (assume-push @p562 @t227) % 0.45/0.65 (assume-push @p563 @t225) % 0.45/0.65 (assume-push @p564 @t222) % 0.45/0.65 (assume-push @p565 @t220) % 0.45/0.65 (assume-push @p566 @t217) % 0.45/0.65 (assume-push @p567 @t215) % 0.45/0.65 (assume-push @p568 @t209) % 0.45/0.65 (assume-push @p569 @t198) % 0.45/0.65 (assume-push @p570 @t203) % 0.45/0.65 (assume-push @p571 @t198) % 0.45/0.65 (assume-push @p572 @t241) % 0.45/0.65 (assume-push @p573 (= tptp.n0 tptp.n5)) % 0.45/0.65 (step @p443 :rule false_intro :premises (@p569)) % 0.45/0.65 (step @p342 :rule refl :args (@t155)) % 0.45/0.65 (step @p444 :rule symm :premises (@p287)) % 0.45/0.65 (step @p344 :rule symm :premises (@p283)) % 0.45/0.65 (step @p345 :rule refl :args (tptp.n5)) % 0.45/0.65 (step @p445 :rule cong :premises (@p345 @p344) :args (@t211)) % 0.45/0.65 (step @p446 :rule instantiate :premises (@p286) :args (@t202)) % 0.45/0.65 (step @p348 :rule cong :premises (@p307) :args (@t142)) % 0.45/0.65 (step @p349 :rule cong :premises (@p348) :args (@t143)) % 0.45/0.65 (step @p350 :rule cong :premises (@p349) :args (@t144)) % 0.45/0.65 (step @p447 :rule cong :premises (@p350) :args (@t145)) % 0.45/0.65 (step @p448 :rule symm :premises (@p292)) % 0.45/0.65 (step @p353 :rule refl :args (tptp.n4)) % 0.45/0.65 (step @p449 :rule cong :premises (@p353 @p344) :args (@t219)) % 0.45/0.65 (step @p450 :rule instantiate :premises (@p291) :args (@t202)) % 0.45/0.65 (step @p451 :rule cong :premises (@p349) :args (@t144)) % 0.45/0.65 (step @p452 :rule symm :premises (@p297)) % 0.45/0.65 (step @p357 :rule refl :args (tptp.n3)) % 0.45/0.65 (step @p453 :rule cong :premises (@p357 @p344) :args (@t224)) % 0.45/0.65 (step @p454 :rule instantiate :premises (@p296) :args (@t202)) % 0.45/0.65 (step @p455 :rule cong :premises (@p348) :args (@t143)) % 0.45/0.65 (step @p456 :rule symm :premises (@p302)) % 0.45/0.65 (step @p376 :rule refl :args (tptp.n2)) % 0.45/0.65 (step @p457 :rule cong :premises (@p376 @p344) :args (@t229)) % 0.45/0.65 (step @p458 :rule instantiate :premises (@p301) :args (@t202)) % 0.45/0.65 (step @p459 :rule cong :premises (@p307) :args (@t142)) % 0.45/0.65 (step @p460 :rule symm :premises (@p420)) % 0.45/0.65 (step @p461 :rule refl :args (tptp.n1)) % 0.45/0.65 (step @p462 :rule cong :premises (@p461 @p344) :args (@t244)) % 0.45/0.65 (step @p463 :rule instantiate :premises (@p418) :args (@t202)) % 0.45/0.65 (step @p464 :rule symm :premises (@p28)) % 0.45/0.65 (step @p465 :rule trans :premises (@p464 @p463 @p462 @p460 @p459 @p458 @p457 @p456 @p455 @p454 @p453 @p452 @p451 @p450 @p449 @p448 @p447 @p446 @p445 @p444 @p82)) % 0.45/0.65 (step @p466 :rule symm :premises (@p465)) % 0.45/0.65 (step @p343 :rule symm :premises (@p287)) % 0.45/0.65 (step @p346 :rule cong :premises (@p345 @p344) :args (@t211)) % 0.45/0.65 (step @p351 :rule cong :premises (@p350) :args (@t145)) % 0.45/0.65 (step @p352 :rule symm :premises (@p292)) % 0.45/0.65 (step @p354 :rule cong :premises (@p353 @p344) :args (@t219)) % 0.45/0.65 (step @p356 :rule symm :premises (@p297)) % 0.45/0.65 (step @p358 :rule cong :premises (@p357 @p344) :args (@t224)) % 0.45/0.65 (step @p375 :rule symm :premises (@p302)) % 0.45/0.65 (step @p377 :rule cong :premises (@p376 @p344) :args (@t229)) % 0.45/0.65 (step @p392 :rule trans :premises (@p305 @p348 @p303 @p377 @p375 @p349 @p298 @p358 @p356 @p350 @p293 @p354 @p352 @p351 @p288 @p346 @p343 @p82)) % 0.45/0.65 (step @p467 :rule trans :premises (@p392 @p466)) % 0.45/0.65 (step @p468 :rule symm :premises (@p467)) % 0.45/0.65 (step @p469 :rule cong :premises (@p468 @p342) :args (@t176)) % 0.45/0.65 (step @p470 :rule trans :premises (@p469 @p443)) % 0.45/0.65 (step @p471 :rule false_elim :premises (@p470)) % 0.45/0.65 (step-pop @p574 :rule scope :premises (@p471)) % 0.45/0.65 (step-pop @p575 :rule scope :premises (@p574)) % 0.45/0.65 (step-pop @p576 :rule scope :premises (@p575)) % 0.45/0.65 (step @p472 :rule process_scope :premises (@p576) :args (@t243)) % 0.45/0.65 (step @p343 :rule symm :premises (@p287)) % 0.45/0.65 (step @p344 :rule symm :premises (@p283)) % 0.45/0.65 (step @p345 :rule refl :args (tptp.n5)) % 0.45/0.65 (step @p346 :rule cong :premises (@p345 @p344) :args (@t211)) % 0.45/0.65 (step @p348 :rule cong :premises (@p307) :args (@t142)) % 0.45/0.65 (step @p349 :rule cong :premises (@p348) :args (@t143)) % 0.45/0.65 (step @p350 :rule cong :premises (@p349) :args (@t144)) % 0.45/0.65 (step @p351 :rule cong :premises (@p350) :args (@t145)) % 0.45/0.65 (step @p352 :rule symm :premises (@p292)) % 0.45/0.65 (step @p353 :rule refl :args (tptp.n4)) % 0.45/0.65 (step @p354 :rule cong :premises (@p353 @p344) :args (@t219)) % 0.45/0.65 (step @p356 :rule symm :premises (@p297)) % 0.45/0.65 (step @p357 :rule refl :args (tptp.n3)) % 0.45/0.65 (step @p358 :rule cong :premises (@p357 @p344) :args (@t224)) % 0.45/0.65 (step @p375 :rule symm :premises (@p302)) % 0.45/0.65 (step @p376 :rule refl :args (tptp.n2)) % 0.45/0.65 (step @p377 :rule cong :premises (@p376 @p344) :args (@t229)) % 0.45/0.65 (step @p460 :rule symm :premises (@p420)) % 0.45/0.65 (step @p461 :rule refl :args (tptp.n1)) % 0.45/0.65 (step @p462 :rule cong :premises (@p461 @p344) :args (@t244)) % 0.45/0.65 (step @p476 :rule trans :premises (@p307 @p419 @p462 @p460 @p348 @p303 @p377 @p375 @p349 @p298 @p358 @p356 @p350 @p293 @p354 @p352 @p351 @p288 @p346 @p343 @p82)) % 0.45/0.65 (step @p392 :rule trans :premises (@p305 @p348 @p303 @p377 @p375 @p349 @p298 @p358 @p356 @p350 @p293 @p354 @p352 @p351 @p288 @p346 @p343 @p82)) % 0.45/0.65 (step @p477 :rule and_intro :premises (@p569 @p392 @p476)) % 0.45/0.65 (step @p478 :rule modus_ponens :premises (@p477 @p472)) % 0.45/0.65 (step-pop @p577 :rule scope :premises (@p478)) % 0.45/0.65 (step-pop @p578 :rule scope :premises (@p577)) % 0.45/0.65 (step-pop @p579 :rule scope :premises (@p578)) % 0.45/0.65 (step-pop @p580 :rule scope :premises (@p579)) % 0.45/0.65 (step-pop @p581 :rule scope :premises (@p580)) % 0.45/0.65 (step-pop @p582 :rule scope :premises (@p581)) % 0.45/0.65 (step-pop @p583 :rule scope :premises (@p582)) % 0.45/0.65 (step-pop @p584 :rule scope :premises (@p583)) % 0.45/0.65 (step-pop @p585 :rule scope :premises (@p584)) % 0.45/0.65 (step-pop @p586 :rule scope :premises (@p585)) % 0.45/0.65 (step-pop @p587 :rule scope :premises (@p586)) % 0.45/0.65 (step-pop @p588 :rule scope :premises (@p587)) % 0.45/0.65 (step-pop @p589 :rule scope :premises (@p588)) % 0.45/0.65 (step-pop @p590 :rule scope :premises (@p589)) % 0.45/0.65 (step-pop @p591 :rule scope :premises (@p590)) % 0.45/0.65 (step @p479 :rule process_scope :premises (@p591) :args (@t243)) % 0.45/0.65 (step @p495 :rule implies_elim :premises (@p479)) % 0.45/0.65 (step @p496 :rule cnf_and_neg :args (@t249)) % 0.45/0.65 (step @p497 :rule resolution :premises (@p496 @p495) :args (true @t249)) % 0.45/0.65 (step @p498 :rule eq_resolve :premises (@p497 @p424)) % 0.45/0.65 (step @p499 :rule reordering :premises (@p498) :args ((or @t239 @t237 @t235 @t175 @t243 @t248 @t246 @t231 @t228 @t226 @t223 @t221 @t218 @t216 @t210 @t208))) % 0.45/0.65 (step @p500 :rule chain_m_resolution :premises (@p499 @p307 @p306 @p305 @p264 @p420 @p419 @p303 @p302 @p298 @p297 @p293 @p292 @p288 @p287 @p283) :args (@t243 (@list false false false true false false false false false false false false false false false) (@list @t238 @t236 @t234 @t175 @t247 @t245 @t230 @t227 @t225 @t222 @t220 @t217 @t215 @t209 @t203))) % 0.45/0.65 (step @p501 :rule cnf_or_pos :args (@t177)) % 0.45/0.65 (step @p502 :rule reordering :premises (@p501) :args ((or @t165 @t162 @t176 @t174 @t175 (not @t177)))) % 0.45/0.65 (step @p503 false :rule chain_m_resolution :premises (@p502 @p500 @p415 @p264 @p179 @p155 @p149) :args (false (@list true true true false false false) (@list @t176 @t174 @t175 @t177 @t161 @t156))) % 0.45/0.65 ) % 0.45/0.65 % SZS output end Proof % 0.45/0.65 % cvc5 exiting %------------------------------------------------------------------------------