%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV092+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 : n015.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 09:00:30 AM UTC 2026 % Result : Theorem 0.38s 0.69s % Output : Proof 0.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV092+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n015.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:55:04 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.69 % SZS status Theorem % 0.38/0.69 % SZS output start Proof % 0.38/0.69 ( % 0.38/0.69 (declare-sort $$unsorted 0) % 0.38/0.69 (declare-const tptp.rho_defuse $$unsorted) % 0.38/0.69 (declare-const tptp.xinit_defuse $$unsorted) % 0.38/0.69 (declare-const tptp.xinit_mean_defuse $$unsorted) % 0.38/0.69 (declare-const tptp.def $$unsorted) % 0.38/0.69 (declare-const tptp.use $$unsorted) % 0.38/0.69 (declare-const tptp.true Bool) % 0.38/0.69 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.z_defuse $$unsorted) % 0.38/0.69 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.38/0.69 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.u_defuse $$unsorted) % 0.38/0.69 (declare-const tptp.n3 $$unsorted) % 0.38/0.69 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.38/0.69 (declare-const tptp.n0 $$unsorted) % 0.38/0.69 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.n1 $$unsorted) % 0.38/0.69 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.n5 $$unsorted) % 0.38/0.69 (declare-const tptp.sigma_defuse $$unsorted) % 0.38/0.69 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.38/0.69 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.xinit_noise_defuse $$unsorted) % 0.38/0.69 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.38/0.69 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.38/0.69 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.38/0.69 (declare-const tptp.n4 $$unsorted) % 0.38/0.69 (declare-const tptp.n2 $$unsorted) % 0.38/0.69 (define @t1 () (@var "Y" $$unsorted)) % 0.38/0.69 (define @t2 () (@var "X" $$unsorted)) % 0.38/0.69 (define @t3 () (= @t2 @t1)) % 0.38/0.69 (define @t4 () (tptp.gt @t1 @t2)) % 0.38/0.69 (define @t5 () (tptp.gt @t2 @t1)) % 0.38/0.69 (define @t6 () (@list @t2 @t1)) % 0.38/0.69 (define @t7 () (@var "Z" $$unsorted)) % 0.38/0.69 (define @t8 () (@list @t2 @t1 @t7)) % 0.38/0.69 (define @t9 () (@list @t2)) % 0.38/0.69 (define @t10 () (tptp.leq @t2 @t7)) % 0.38/0.69 (define @t11 () (tptp.leq @t1 @t7)) % 0.38/0.69 (define @t12 () (tptp.leq @t2 @t1)) % 0.38/0.69 (define @t13 () (and @t12 @t11)) % 0.38/0.69 (define @t14 () (forall @t8 (=> @t13 @t10))) % 0.38/0.69 (define @t15 () (forall @t6 (=> @t4 @t12))) % 0.38/0.69 (define @t16 () (tptp.succ @t2)) % 0.38/0.69 (define @t17 () (tptp.succ @t1)) % 0.38/0.69 (define @t18 () (@var "C" $$unsorted)) % 0.38/0.69 (define @t19 () (tptp.uniform_int_rnd @t18 @t2)) % 0.38/0.69 (define @t20 () (tptp.leq tptp.n0 @t2)) % 0.38/0.69 (define @t21 () (@list @t2 @t18)) % 0.38/0.69 (define @t22 () (@var "Val" $$unsorted)) % 0.38/0.69 (define @t23 () (@var "I" $$unsorted)) % 0.38/0.69 (define @t24 () (@var "U" $$unsorted)) % 0.38/0.69 (define @t25 () (@var "L" $$unsorted)) % 0.38/0.69 (define @t26 () (tptp.leq @t23 @t24)) % 0.38/0.69 (define @t27 () (@var "J" $$unsorted)) % 0.38/0.69 (define @t28 () (@var "U2" $$unsorted)) % 0.38/0.69 (define @t29 () (@var "L2" $$unsorted)) % 0.38/0.69 (define @t30 () (@var "U1" $$unsorted)) % 0.38/0.69 (define @t31 () (@var "L1" $$unsorted)) % 0.38/0.69 (define @t32 () (@var "A" $$unsorted)) % 0.38/0.69 (define @t33 () (tptp.trans @t32)) % 0.38/0.69 (define @t34 () (@var "N" $$unsorted)) % 0.38/0.69 (define @t35 () (tptp.leq @t27 @t34)) % 0.38/0.69 (define @t36 () (tptp.leq tptp.n0 @t27)) % 0.38/0.69 (define @t37 () (tptp.leq @t23 @t34)) % 0.38/0.69 (define @t38 () (tptp.leq tptp.n0 @t23)) % 0.38/0.69 (define @t39 () (and @t38 @t37 @t36 @t35)) % 0.38/0.69 (define @t40 () (@list @t23 @t27)) % 0.38/0.69 (define @t41 () (forall @t40 (=> @t39 (= (tptp.a_select3 @t32 @t23 @t27) (tptp.a_select3 @t32 @t27 @t23))))) % 0.38/0.69 (define @t42 () (@list @t32 @t34)) % 0.38/0.69 (define @t43 () (tptp.inv @t32)) % 0.38/0.69 (define @t44 () (@var "VAL" $$unsorted)) % 0.38/0.69 (define @t45 () (@var "K" $$unsorted)) % 0.38/0.69 (define @t46 () (tptp.tptp_update3 @t32 @t45 @t45 @t44)) % 0.38/0.69 (define @t47 () (@var "B" $$unsorted)) % 0.38/0.69 (define @t48 () (tptp.tptp_madd @t32 @t47)) % 0.38/0.69 (define @t49 () (= (tptp.a_select3 @t47 @t23 @t27) (tptp.a_select3 @t47 @t27 @t23))) % 0.38/0.69 (define @t50 () (forall @t40 (=> @t39 @t49))) % 0.38/0.69 (define @t51 () (and @t41 @t50)) % 0.38/0.69 (define @t52 () (@list @t32 @t47 @t34)) % 0.38/0.69 (define @t53 () (tptp.tptp_msub @t32 @t47)) % 0.38/0.69 (define @t54 () (tptp.tptp_mmul @t32 (tptp.tptp_mmul @t47 @t33))) % 0.38/0.69 (define @t55 () (forall @t40 (=> @t39 (= (tptp.a_select3 @t54 @t23 @t27) (tptp.a_select3 @t54 @t27 @t23))))) % 0.38/0.69 (define @t56 () (@var "M" $$unsorted)) % 0.38/0.69 (define @t57 () (and @t38 (tptp.leq @t23 @t56) @t36 (tptp.leq @t27 @t56))) % 0.38/0.69 (define @t58 () (@var "E" $$unsorted)) % 0.38/0.69 (define @t59 () (@var "F" $$unsorted)) % 0.38/0.69 (define @t60 () (@var "D" $$unsorted)) % 0.38/0.69 (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))))) % 0.38/0.69 (define @t62 () (@var "Body" $$unsorted)) % 0.38/0.69 (define @t63 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t62)) % 0.38/0.69 (define @t64 () (@list @t62)) % 0.38/0.69 (define @t65 () (tptp.succ tptp.tptp_minus_1)) % 0.38/0.69 (define @t66 () (tptp.plus tptp.n1 @t2)) % 0.38/0.69 (define @t67 () (forall @t9 (= @t66 @t16))) % 0.38/0.69 (define @t68 () (tptp.succ @t16)) % 0.38/0.69 (define @t69 () (tptp.plus tptp.n2 @t2)) % 0.38/0.69 (define @t70 () (forall @t9 (= @t69 @t68))) % 0.38/0.69 (define @t71 () (tptp.succ @t68)) % 0.38/0.69 (define @t72 () (tptp.plus tptp.n3 @t2)) % 0.38/0.69 (define @t73 () (forall @t9 (= @t72 @t71))) % 0.38/0.69 (define @t74 () (tptp.succ @t71)) % 0.38/0.69 (define @t75 () (tptp.plus tptp.n4 @t2)) % 0.38/0.69 (define @t76 () (forall @t9 (= @t75 @t74))) % 0.38/0.69 (define @t77 () (tptp.succ @t74)) % 0.38/0.69 (define @t78 () (tptp.pred @t2)) % 0.38/0.69 (define @t79 () (tptp.pred @t16)) % 0.38/0.69 (define @t80 () (forall @t9 (= @t79 @t2))) % 0.38/0.69 (define @t81 () (@var "V" $$unsorted)) % 0.38/0.69 (define @t82 () (tptp.tptp_update3 @t2 @t24 @t81 @t44)) % 0.38/0.69 (define @t83 () (@var "VAL2" $$unsorted)) % 0.38/0.69 (define @t84 () (not (= @t23 @t24))) % 0.38/0.69 (define @t85 () (@var "J0" $$unsorted)) % 0.38/0.69 (define @t86 () (@var "I0" $$unsorted)) % 0.38/0.69 (define @t87 () (tptp.leq @t86 @t24)) % 0.38/0.69 (define @t88 () (tptp.leq tptp.n0 @t86)) % 0.38/0.69 (define @t89 () (tptp.tptp_update2 @t2 @t24 @t44)) % 0.38/0.69 (define @t90 () (tptp.a_select3 tptp.z_defuse @t32 @t47)) % 0.38/0.69 (define @t91 () (tptp.a_select3 tptp.u_defuse @t32 @t47)) % 0.38/0.69 (define @t92 () (and (= @t91 tptp.use) (= @t90 tptp.use))) % 0.38/0.69 (define @t93 () (tptp.minus tptp.n0 tptp.n1)) % 0.38/0.69 (define @t94 () (tptp.leq @t47 @t93)) % 0.38/0.69 (define @t95 () (tptp.leq @t32 tptp.n2)) % 0.38/0.69 (define @t96 () (tptp.leq tptp.n0 @t47)) % 0.38/0.69 (define @t97 () (tptp.leq tptp.n0 @t32)) % 0.38/0.69 (define @t98 () (and @t97 @t96 @t95 @t94)) % 0.38/0.69 (define @t99 () (=> @t98 @t92)) % 0.38/0.69 (define @t100 () (@list @t32 @t47)) % 0.38/0.69 (define @t101 () (forall @t100 @t99)) % 0.38/0.69 (define @t102 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n5)) % 0.38/0.69 (define @t103 () (= @t102 tptp.use)) % 0.38/0.69 (define @t104 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n4)) % 0.38/0.69 (define @t105 () (= @t104 tptp.use)) % 0.38/0.69 (define @t106 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n3)) % 0.38/0.69 (define @t107 () (= @t106 tptp.use)) % 0.38/0.69 (define @t108 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n2)) % 0.38/0.69 (define @t109 () (= @t108 tptp.use)) % 0.38/0.69 (define @t110 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n1)) % 0.38/0.69 (define @t111 () (= @t110 tptp.use)) % 0.38/0.69 (define @t112 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n0)) % 0.38/0.69 (define @t113 () (= @t112 tptp.use)) % 0.38/0.69 (define @t114 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n5)) % 0.38/0.69 (define @t115 () (= @t114 tptp.use)) % 0.38/0.69 (define @t116 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n4)) % 0.38/0.69 (define @t117 () (= @t116 tptp.use)) % 0.38/0.69 (define @t118 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n3)) % 0.38/0.69 (define @t119 () (= @t118 tptp.use)) % 0.38/0.69 (define @t120 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n2)) % 0.38/0.69 (define @t121 () (= @t120 tptp.use)) % 0.38/0.69 (define @t122 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n1)) % 0.38/0.69 (define @t123 () (= @t122 tptp.use)) % 0.38/0.69 (define @t124 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n0)) % 0.38/0.69 (define @t125 () (= @t124 tptp.use)) % 0.38/0.69 (define @t126 () (tptp.a_select2 tptp.xinit_defuse tptp.n5)) % 0.38/0.69 (define @t127 () (= @t126 tptp.use)) % 0.38/0.69 (define @t128 () (tptp.a_select2 tptp.xinit_defuse tptp.n4)) % 0.38/0.69 (define @t129 () (= @t128 tptp.use)) % 0.38/0.69 (define @t130 () (tptp.a_select2 tptp.xinit_defuse tptp.n3)) % 0.38/0.69 (define @t131 () (= @t130 tptp.use)) % 0.38/0.69 (define @t132 () (tptp.a_select3 tptp.u_defuse tptp.n2 tptp.n0)) % 0.38/0.69 (define @t133 () (= @t132 tptp.use)) % 0.38/0.69 (define @t134 () (tptp.a_select3 tptp.u_defuse tptp.n1 tptp.n0)) % 0.38/0.69 (define @t135 () (= @t134 tptp.use)) % 0.38/0.69 (define @t136 () (tptp.a_select3 tptp.u_defuse tptp.n0 tptp.n0)) % 0.38/0.69 (define @t137 () (= @t136 tptp.use)) % 0.38/0.69 (define @t138 () (tptp.a_select2 tptp.sigma_defuse tptp.n5)) % 0.38/0.69 (define @t139 () (= @t138 tptp.use)) % 0.38/0.69 (define @t140 () (tptp.a_select2 tptp.sigma_defuse tptp.n4)) % 0.38/0.69 (define @t141 () (= @t140 tptp.use)) % 0.38/0.69 (define @t142 () (tptp.a_select2 tptp.sigma_defuse tptp.n3)) % 0.38/0.69 (define @t143 () (= @t142 tptp.use)) % 0.38/0.69 (define @t144 () (tptp.a_select2 tptp.sigma_defuse tptp.n2)) % 0.38/0.69 (define @t145 () (= @t144 tptp.use)) % 0.38/0.69 (define @t146 () (tptp.a_select2 tptp.sigma_defuse tptp.n1)) % 0.38/0.69 (define @t147 () (= @t146 tptp.use)) % 0.38/0.69 (define @t148 () (tptp.a_select2 tptp.sigma_defuse tptp.n0)) % 0.38/0.69 (define @t149 () (= @t148 tptp.use)) % 0.38/0.69 (define @t150 () (tptp.a_select2 tptp.rho_defuse tptp.n2)) % 0.38/0.69 (define @t151 () (= @t150 tptp.use)) % 0.38/0.69 (define @t152 () (tptp.a_select2 tptp.rho_defuse tptp.n1)) % 0.38/0.69 (define @t153 () (= @t152 tptp.use)) % 0.38/0.69 (define @t154 () (tptp.a_select2 tptp.rho_defuse tptp.n0)) % 0.38/0.69 (define @t155 () (= @t154 tptp.use)) % 0.38/0.69 (define @t156 () (and @t155 @t153 @t151 @t149 @t147 @t145 @t143 @t141 @t139 @t137 @t135 @t133 @t131 @t129 @t127 @t125 @t123 @t121 @t119 @t117 @t115 @t113 @t111 @t109 @t107 @t105 @t103 @t101)) % 0.38/0.69 (define @t157 () (and @t155 @t153 @t151 @t149 @t147 @t145 @t143 @t141 @t139 @t137 @t135 @t133 @t131 @t129 @t127 @t125 @t123 @t121 @t119 @t117 @t115 @t113 @t111 @t109 @t107 @t105 @t103)) % 0.38/0.69 (define @t158 () (=> @t157 @t156)) % 0.38/0.69 (define @t159 () (not @t158)) % 0.38/0.69 (define @t160 () (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.38/0.69 (define @t161 () (= @t2 tptp.n4)) % 0.38/0.69 (define @t162 () (= @t2 tptp.n3)) % 0.38/0.69 (define @t163 () (= @t2 tptp.n2)) % 0.38/0.69 (define @t164 () (= @t2 tptp.n1)) % 0.38/0.69 (define @t165 () (= @t2 tptp.n0)) % 0.38/0.69 (define @t166 () (tptp.leq @t2 tptp.n0)) % 0.38/0.69 (define @t167 () (and @t20 @t166)) % 0.38/0.69 (define @t168 () (forall @t9 (=> @t167 @t165))) % 0.38/0.69 (define @t169 () (tptp.succ tptp.n0)) % 0.38/0.69 (define @t170 () (tptp.succ @t169)) % 0.38/0.69 (define @t171 () (tptp.succ @t170)) % 0.38/0.69 (define @t172 () (tptp.succ @t171)) % 0.38/0.69 (define @t173 () (@list tptp.tptp_minus_1)) % 0.38/0.69 (define @t174 () (@list tptp.n0)) % 0.38/0.69 (define @t175 () (not @t166)) % 0.38/0.69 (define @t176 () (not @t20)) % 0.38/0.69 (define @t177 () (or @t176 @t175 @t165)) % 0.38/0.69 (define @t178 () (tptp.leq @t93 tptp.n0)) % 0.38/0.69 (define @t179 () (not @t178)) % 0.38/0.69 (define @t180 () (tptp.leq tptp.n0 @t93)) % 0.38/0.69 (define @t181 () (not @t180)) % 0.38/0.69 (define @t182 () (or @t181 @t179 (= @t93 tptp.n0))) % 0.38/0.69 (define @t183 () (forall @t9 @t177)) % 0.38/0.69 (define @t184 () (= tptp.n0 @t93)) % 0.38/0.69 (define @t185 () (or @t181 @t179 @t184)) % 0.38/0.69 (define @t186 () (not @t11)) % 0.38/0.69 (define @t187 () (not @t12)) % 0.38/0.69 (define @t188 () (and (= tptp.use @t91) (= tptp.use @t90))) % 0.38/0.69 (define @t189 () (not @t94)) % 0.38/0.69 (define @t190 () (not @t95)) % 0.38/0.69 (define @t191 () (not @t96)) % 0.38/0.69 (define @t192 () (not @t97)) % 0.38/0.69 (define @t193 () (or @t192 @t191 @t190 @t189 @t188)) % 0.38/0.69 (define @t194 () (forall @t100 @t193)) % 0.38/0.69 (define @t195 () (@quantifiers_skolemize @t194 1)) % 0.38/0.69 (define @t196 () (or @t192 @t191 @t190 @t189)) % 0.38/0.69 (define @t197 () (tptp.leq @t195 @t93)) % 0.38/0.69 (define @t198 () (@quantifiers_skolemize @t194 0)) % 0.38/0.69 (define @t199 () (not @t197)) % 0.38/0.69 (define @t200 () (tptp.leq tptp.n0 @t195)) % 0.38/0.69 (define @t201 () (not @t200)) % 0.38/0.69 (define @t202 () (or (not (tptp.leq tptp.n0 @t198)) @t201 (not (tptp.leq @t198 tptp.n2)) @t199 (and (= tptp.use (tptp.a_select3 tptp.u_defuse @t198 @t195)) (= tptp.use (tptp.a_select3 tptp.z_defuse @t198 @t195))))) % 0.38/0.69 (define @t203 () (@list true)) % 0.38/0.69 (define @t204 () (@list @t202)) % 0.38/0.69 (define @t205 () (or @t201 @t199 @t180)) % 0.38/0.69 (define @t206 () (@list false false false)) % 0.38/0.69 (define @t207 () (tptp.leq tptp.tptp_minus_1 tptp.n0)) % 0.38/0.69 (define @t208 () (not @t160)) % 0.38/0.69 (define @t209 () (or @t208 @t207)) % 0.38/0.69 (define @t210 () (tptp.succ @t65)) % 0.38/0.69 (define @t211 () (tptp.succ @t210)) % 0.38/0.69 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.38/0.69 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.38/0.69 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.38/0.69 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.38/0.69 (assume @p5 @t14) % 0.38/0.69 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.38/0.69 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.38/0.69 (assume @p8 @t15) % 0.38/0.69 (assume @p9 (forall @t6 (=> (and @t12 (not @t3)) @t4))) % 0.38/0.69 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.38/0.69 (assume @p11 (forall @t9 (tptp.gt @t16 @t2))) % 0.38/0.69 (assume @p12 (forall @t6 (=> @t12 (tptp.leq @t2 @t17)))) % 0.38/0.69 (assume @p13 (forall @t6 (= @t12 (tptp.gt @t17 @t2)))) % 0.38/0.69 (assume @p14 (forall @t21 (=> @t20 (tptp.leq @t19 @t2)))) % 0.38/0.69 (assume @p15 (forall @t21 (=> @t20 (tptp.leq tptp.n0 @t19)))) % 0.38/0.69 (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)))) % 0.38/0.69 (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)))) % 0.38/0.69 (assume @p18 (forall @t42 (=> @t41 (forall @t40 (=> @t39 (= (tptp.a_select3 @t33 @t23 @t27) (tptp.a_select3 @t33 @t27 @t23))))))) % 0.38/0.69 (assume @p19 (forall @t42 (=> @t41 (forall @t40 (=> @t39 (= (tptp.a_select3 @t43 @t23 @t27) (tptp.a_select3 @t43 @t27 @t23))))))) % 0.38/0.69 (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))))))) % 0.38/0.69 (assume @p21 (forall @t52 (=> @t51 (forall @t40 (=> @t39 (= (tptp.a_select3 @t48 @t23 @t27) (tptp.a_select3 @t48 @t27 @t23))))))) % 0.38/0.69 (assume @p22 (forall @t52 (=> @t51 (forall @t40 (=> @t39 (= (tptp.a_select3 @t53 @t23 @t27) (tptp.a_select3 @t53 @t27 @t23))))))) % 0.38/0.69 (assume @p23 (forall @t52 (=> @t50 @t55))) % 0.38/0.69 (assume @p24 (forall (@list @t32 @t47 @t34 @t56) (=> (forall @t40 (=> @t57 @t49)) @t55))) % 0.38/0.69 (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))))))) % 0.38/0.69 (assume @p26 (forall @t64 (= @t63 tptp.n0))) % 0.38/0.69 (assume @p27 (forall @t64 (= tptp.tptp_float_0_0 @t63))) % 0.38/0.69 (assume @p28 (= @t65 tptp.n0)) % 0.38/0.69 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t16))) % 0.38/0.69 (assume @p30 @t67) % 0.38/0.69 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t68))) % 0.38/0.69 (assume @p32 @t70) % 0.38/0.69 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t71))) % 0.38/0.69 (assume @p34 @t73) % 0.38/0.69 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t74))) % 0.38/0.69 (assume @p36 @t76) % 0.38/0.69 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t77))) % 0.38/0.69 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t77))) % 0.38/0.69 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t78))) % 0.38/0.69 (assume @p40 @t80) % 0.38/0.69 (assume @p41 (forall @t9 (= (tptp.succ @t78) @t2))) % 0.38/0.69 (assume @p42 (forall @t6 (= (tptp.leq @t16 @t17) @t12))) % 0.38/0.69 (assume @p43 (forall @t6 (=> (tptp.leq @t16 @t1) @t4))) % 0.38/0.69 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.38/0.69 (assume @p45 (forall (@list @t2 @t24 @t81 @t44) (= (tptp.a_select3 @t82 @t24 @t81) @t44))) % 0.38/0.69 (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)))) % 0.38/0.69 (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)))) % 0.38/0.69 (assume @p48 (forall (@list @t2 @t24 @t44) (= (tptp.a_select2 @t89 @t24) @t44))) % 0.38/0.69 (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)))) % 0.38/0.69 (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)))) % 0.38/0.69 (assume @p51 tptp.true) % 0.38/0.69 (assume @p52 (not (= tptp.def tptp.use))) % 0.38/0.69 (assume @p53 @t159) % 0.38/0.69 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.38/0.69 (assume @p55 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.38/0.69 (assume @p56 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.38/0.69 (assume @p57 @t160) % 0.38/0.69 (assume @p58 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.38/0.69 (assume @p59 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.38/0.69 (assume @p60 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.38/0.69 (assume @p61 (tptp.gt tptp.n4 tptp.n0)) % 0.38/0.69 (assume @p62 (tptp.gt tptp.n5 tptp.n0)) % 0.38/0.69 (assume @p63 (tptp.gt tptp.n1 tptp.n0)) % 0.38/0.69 (assume @p64 (tptp.gt tptp.n2 tptp.n0)) % 0.38/0.69 (assume @p65 (tptp.gt tptp.n3 tptp.n0)) % 0.38/0.69 (assume @p66 (tptp.gt tptp.n4 tptp.n1)) % 0.38/0.69 (assume @p67 (tptp.gt tptp.n5 tptp.n1)) % 0.38/0.69 (assume @p68 (tptp.gt tptp.n2 tptp.n1)) % 0.38/0.69 (assume @p69 (tptp.gt tptp.n3 tptp.n1)) % 0.38/0.69 (assume @p70 (tptp.gt tptp.n4 tptp.n2)) % 0.38/0.69 (assume @p71 (tptp.gt tptp.n5 tptp.n2)) % 0.38/0.69 (assume @p72 (tptp.gt tptp.n3 tptp.n2)) % 0.38/0.69 (assume @p73 (tptp.gt tptp.n4 tptp.n3)) % 0.38/0.69 (assume @p74 (tptp.gt tptp.n5 tptp.n3)) % 0.38/0.69 (assume @p75 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n4)) (or @t165 @t164 @t163 @t162 @t161)))) % 0.38/0.69 (assume @p76 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n5)) (or @t165 @t164 @t163 @t162 @t161 (= @t2 tptp.n5))))) % 0.38/0.69 (assume @p77 @t168) % 0.38/0.69 (assume @p78 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n1)) (or @t165 @t164)))) % 0.38/0.69 (assume @p79 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n2)) (or @t165 @t164 @t163)))) % 0.38/0.69 (assume @p80 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n3)) (or @t165 @t164 @t163 @t162)))) % 0.38/0.69 (assume @p81 (= @t172 tptp.n4)) % 0.38/0.69 (assume @p82 (= (tptp.succ @t172) tptp.n5)) % 0.38/0.69 (assume @p83 (= @t169 tptp.n1)) % 0.38/0.69 (assume @p84 (= @t170 tptp.n2)) % 0.38/0.69 (assume @p85 (= @t171 tptp.n3)) % 0.38/0.69 (assume @p86 true) % 0.38/0.69 (step @p87 :rule evaluate :args ((= false true))) % 0.38/0.69 (step @p88 :rule true_intro :premises (@p61)) % 0.38/0.69 (step @p89 :rule eq-symm :args (@t66 @t16)) % 0.38/0.69 (step @p90 :rule cong :premises (@p89) :args (@t67)) % 0.38/0.69 (step @p91 :rule eq_resolve :premises (@p30 @p90)) % 0.38/0.69 (step @p92 :rule instantiate :premises (@p91) :args (@t173)) % 0.38/0.69 (step @p93 :rule symm :premises (@p92)) % 0.38/0.69 (step @p94 :rule eq-symm :args (@t79 @t2)) % 0.38/0.69 (step @p95 :rule cong :premises (@p94) :args (@t80)) % 0.38/0.69 (step @p96 :rule eq_resolve :premises (@p40 @p95)) % 0.38/0.69 (step @p97 :rule instantiate :premises (@p96) :args (@t173)) % 0.38/0.69 (step @p98 :rule symm :premises (@p97)) % 0.38/0.69 (step @p99 :rule symm :premises (@p28)) % 0.38/0.69 (step @p100 :rule cong :premises (@p99) :args ((tptp.pred tptp.n0))) % 0.38/0.69 (step @p101 :rule instantiate :premises (@p39) :args (@t174)) % 0.38/0.69 (step @p102 :rule aci_norm :args ((= (or (or @t176 @t175) @t165) @t177))) % 0.38/0.69 (step @p103 :rule refl :args (@t165)) % 0.38/0.69 (step @p104 :rule bool-and-de-morgan :args (@t20 @t166 true)) % 0.38/0.69 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or (not @t167) @t165))) % 0.38/0.69 (step @p106 :rule trans :premises (@p105 @p102)) % 0.38/0.69 (step @p107 :rule bool-impl-elim :args (@t167 @t165)) % 0.38/0.69 (step @p108 :rule trans :premises (@p107 @p106)) % 0.38/0.69 (step @p109 :rule cong :premises (@p108) :args (@t168)) % 0.38/0.69 (step @p110 :rule eq_resolve :premises (@p77 @p109)) % 0.38/0.69 (step @p111 :rule eq-symm :args (@t93 tptp.n0)) % 0.38/0.69 (step @p112 :rule refl :args (@t179)) % 0.38/0.69 (step @p113 :rule refl :args (@t181)) % 0.38/0.69 (step @p114 :rule nary_cong :premises (@p113 @p112 @p111) :args (@t182)) % 0.38/0.69 (step @p115 :rule refl :args (@t183)) % 0.38/0.69 (step @p116 :rule cong :premises (@p115 @p114) :args ((=> @t183 @t182))) % 0.38/0.69 (assume-push @p295 @t183) % 0.38/0.69 (step @p118 :rule instantiate :premises (@p110) :args ((@list @t93))) % 0.38/0.69 (step-pop @p296 :rule scope :premises (@p118)) % 0.38/0.69 (step @p119 :rule process_scope :premises (@p296) :args (@t182)) % 0.38/0.69 (step @p121 :rule eq_resolve :premises (@p119 @p116)) % 0.38/0.69 (step @p122 :rule implies_elim :premises (@p121)) % 0.38/0.69 (step @p123 :rule chain_m_resolution :premises (@p122 @p110) :args (@t185 (@list false) (@list @t183))) % 0.38/0.69 (step @p124 :rule aci_norm :args ((= (or (or @t187 @t186) @t10) (or @t187 @t186 @t10)))) % 0.38/0.69 (step @p125 :rule refl :args (@t10)) % 0.38/0.69 (step @p126 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 0.38/0.69 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or (not @t13) @t10))) % 0.38/0.69 (step @p128 :rule trans :premises (@p127 @p124)) % 0.38/0.69 (step @p129 :rule bool-impl-elim :args (@t13 @t10)) % 0.38/0.69 (step @p130 :rule trans :premises (@p129 @p128)) % 0.38/0.69 (step @p131 :rule cong :premises (@p130) :args (@t14)) % 0.38/0.69 (step @p132 :rule eq_resolve :premises (@p5 @p131)) % 0.38/0.69 (step @p133 :rule instantiate :premises (@p132) :args ((@list tptp.n0 @t195 @t93))) % 0.38/0.69 (step @p134 :rule aci_norm :args ((= (or @t196 @t188) @t193))) % 0.38/0.69 (step @p135 :rule refl :args (@t188)) % 0.38/0.69 (step @p136 :rule aci_norm :args ((= (or @t192 (or @t191 (or @t190 @t189))) @t196))) % 0.38/0.69 (step @p137 :rule bool-and-de-morgan :args (@t95 @t94 true)) % 0.38/0.69 (step @p138 :rule refl :args (@t191)) % 0.38/0.69 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((or @t191 (not (and @t95 @t94))))) % 0.38/0.69 (step @p140 :rule bool-and-de-morgan :args (@t96 @t95 (and @t94))) % 0.38/0.69 (step @p141 :rule trans :premises (@p140 @p139)) % 0.38/0.69 (step @p142 :rule refl :args (@t192)) % 0.38/0.69 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or @t192 (not (and @t96 @t95 @t94))))) % 0.38/0.69 (step @p144 :rule bool-and-de-morgan :args (@t97 @t96 (and @t95 @t94))) % 0.38/0.69 (step @p145 :rule trans :premises (@p144 @p143)) % 0.38/0.69 (step @p146 :rule trans :premises (@p145 @p136)) % 0.38/0.69 (step @p147 :rule nary_cong :premises (@p146 @p135) :args ((or (not @t98) @t188))) % 0.38/0.69 (step @p148 :rule trans :premises (@p147 @p134)) % 0.38/0.69 (step @p149 :rule bool-impl-elim :args (@t98 @t188)) % 0.38/0.69 (step @p150 :rule trans :premises (@p149 @p148)) % 0.38/0.69 (step @p151 :rule cong :premises (@p150) :args ((forall @t100 (=> @t98 @t188)))) % 0.38/0.69 (step @p152 :rule eq-symm :args (@t90 tptp.use)) % 0.38/0.69 (step @p153 :rule eq-symm :args (@t91 tptp.use)) % 0.38/0.69 (step @p154 :rule nary_cong :premises (@p153 @p152) :args (@t92)) % 0.38/0.69 (step @p155 :rule refl :args (@t98)) % 0.38/0.69 (step @p156 :rule cong :premises (@p155 @p154) :args (@t99)) % 0.38/0.69 (step @p157 :rule cong :premises (@p156) :args (@t101)) % 0.38/0.69 (step @p158 :rule trans :premises (@p157 @p151)) % 0.38/0.69 (step @p159 :rule eq-symm :args (@t102 tptp.use)) % 0.38/0.69 (step @p160 :rule eq-symm :args (@t104 tptp.use)) % 0.38/0.69 (step @p161 :rule eq-symm :args (@t106 tptp.use)) % 0.38/0.69 (step @p162 :rule eq-symm :args (@t108 tptp.use)) % 0.38/0.69 (step @p163 :rule eq-symm :args (@t110 tptp.use)) % 0.38/0.69 (step @p164 :rule eq-symm :args (@t112 tptp.use)) % 0.38/0.69 (step @p165 :rule eq-symm :args (@t114 tptp.use)) % 0.38/0.69 (step @p166 :rule eq-symm :args (@t116 tptp.use)) % 0.38/0.69 (step @p167 :rule eq-symm :args (@t118 tptp.use)) % 0.38/0.69 (step @p168 :rule eq-symm :args (@t120 tptp.use)) % 0.38/0.69 (step @p169 :rule eq-symm :args (@t122 tptp.use)) % 0.38/0.69 (step @p170 :rule eq-symm :args (@t124 tptp.use)) % 0.38/0.69 (step @p171 :rule eq-symm :args (@t126 tptp.use)) % 0.38/0.69 (step @p172 :rule eq-symm :args (@t128 tptp.use)) % 0.38/0.69 (step @p173 :rule eq-symm :args (@t130 tptp.use)) % 0.38/0.69 (step @p174 :rule eq-symm :args (@t132 tptp.use)) % 0.38/0.69 (step @p175 :rule eq-symm :args (@t134 tptp.use)) % 0.38/0.69 (step @p176 :rule eq-symm :args (@t136 tptp.use)) % 0.38/0.69 (step @p177 :rule eq-symm :args (@t138 tptp.use)) % 0.38/0.69 (step @p178 :rule eq-symm :args (@t140 tptp.use)) % 0.38/0.69 (step @p179 :rule eq-symm :args (@t142 tptp.use)) % 0.38/0.69 (step @p180 :rule eq-symm :args (@t144 tptp.use)) % 0.38/0.69 (step @p181 :rule eq-symm :args (@t146 tptp.use)) % 0.38/0.69 (step @p182 :rule eq-symm :args (@t148 tptp.use)) % 0.38/0.69 (step @p183 :rule eq-symm :args (@t150 tptp.use)) % 0.38/0.69 (step @p184 :rule eq-symm :args (@t152 tptp.use)) % 0.38/0.69 (step @p185 :rule eq-symm :args (@t154 tptp.use)) % 0.38/0.69 (step @p186 :rule nary_cong :premises (@p185 @p184 @p183 @p182 @p181 @p180 @p179 @p178 @p177 @p176 @p175 @p174 @p173 @p172 @p171 @p170 @p169 @p168 @p167 @p166 @p165 @p164 @p163 @p162 @p161 @p160 @p159 @p158) :args (@t156)) % 0.38/0.69 (step @p187 :rule nary_cong :premises (@p185 @p184 @p183 @p182 @p181 @p180 @p179 @p178 @p177 @p176 @p175 @p174 @p173 @p172 @p171 @p170 @p169 @p168 @p167 @p166 @p165 @p164 @p163 @p162 @p161 @p160 @p159) :args (@t157)) % 0.38/0.69 (step @p188 :rule cong :premises (@p187 @p186) :args (@t158)) % 0.38/0.69 (step @p189 :rule cong :premises (@p188) :args (@t159)) % 0.38/0.69 (step @p190 :rule eq_resolve :premises (@p53 @p189)) % 0.38/0.69 (step @p191 :rule not_implies_elim1 :premises (@p190)) % 0.38/0.69 (step @p192 :rule and_elim :premises (@p191) :args (26)) % 0.38/0.69 (step @p193 :rule and_elim :premises (@p191) :args (25)) % 0.38/0.69 (step @p194 :rule and_elim :premises (@p191) :args (24)) % 0.38/0.69 (step @p195 :rule and_elim :premises (@p191) :args (23)) % 0.38/0.69 (step @p196 :rule and_elim :premises (@p191) :args (22)) % 0.38/0.69 (step @p197 :rule and_elim :premises (@p191) :args (21)) % 0.38/0.69 (step @p198 :rule and_elim :premises (@p191) :args (20)) % 0.38/0.69 (step @p199 :rule and_elim :premises (@p191) :args (19)) % 0.38/0.69 (step @p200 :rule and_elim :premises (@p191) :args (18)) % 0.38/0.69 (step @p201 :rule and_elim :premises (@p191) :args (17)) % 0.38/0.69 (step @p202 :rule and_elim :premises (@p191) :args (16)) % 0.38/0.69 (step @p203 :rule and_elim :premises (@p191) :args (15)) % 0.38/0.69 (step @p204 :rule and_elim :premises (@p191) :args (14)) % 0.38/0.69 (step @p205 :rule and_elim :premises (@p191) :args (13)) % 0.38/0.69 (step @p206 :rule and_elim :premises (@p191) :args (12)) % 0.38/0.69 (step @p207 :rule and_elim :premises (@p191) :args (11)) % 0.38/0.69 (step @p208 :rule and_elim :premises (@p191) :args (10)) % 0.38/0.69 (step @p209 :rule and_elim :premises (@p191) :args (9)) % 0.38/0.69 (step @p210 :rule and_elim :premises (@p191) :args (8)) % 0.38/0.69 (step @p211 :rule and_elim :premises (@p191) :args (7)) % 0.38/0.69 (step @p212 :rule and_elim :premises (@p191) :args (6)) % 0.38/0.69 (step @p213 :rule and_elim :premises (@p191) :args (5)) % 0.38/0.69 (step @p214 :rule and_elim :premises (@p191) :args (4)) % 0.38/0.69 (step @p215 :rule and_elim :premises (@p191) :args (3)) % 0.38/0.69 (step @p216 :rule and_elim :premises (@p191) :args (2)) % 0.38/0.69 (step @p217 :rule and_elim :premises (@p191) :args (1)) % 0.38/0.69 (step @p218 :rule and_elim :premises (@p191) :args (0)) % 0.38/0.69 (step @p219 :rule not_implies_elim2 :premises (@p190)) % 0.38/0.69 (step @p220 :rule not_and :premises (@p219)) % 0.38/0.69 (step @p221 :rule chain_m_resolution :premises (@p220 @p218 @p217 @p216 @p215 @p214 @p213 @p212 @p211 @p210 @p209 @p208 @p207 @p206 @p205 @p204 @p203 @p202 @p201 @p200 @p199 @p198 @p197 @p196 @p195 @p194 @p193 @p192) :args ((not @t194) (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false) (@list (= tptp.use @t154) (= tptp.use @t152) (= tptp.use @t150) (= tptp.use @t148) (= tptp.use @t146) (= tptp.use @t144) (= tptp.use @t142) (= tptp.use @t140) (= tptp.use @t138) (= tptp.use @t136) (= tptp.use @t134) (= tptp.use @t132) (= tptp.use @t130) (= tptp.use @t128) (= tptp.use @t126) (= tptp.use @t124) (= tptp.use @t122) (= tptp.use @t120) (= tptp.use @t118) (= tptp.use @t116) (= tptp.use @t114) (= tptp.use @t112) (= tptp.use @t110) (= tptp.use @t108) (= tptp.use @t106) (= tptp.use @t104) (= tptp.use @t102)))) % 0.38/0.69 (step @p222 :rule skolemize :premises (@p221)) % 0.38/0.69 (step @p223 :rule bool-double-not-elim :args (@t197)) % 0.38/0.69 (step @p224 :rule refl :args (@t202)) % 0.38/0.69 (step @p225 :rule nary_cong :premises (@p224 @p223) :args ((or @t202 (not @t199)))) % 0.38/0.69 (step @p226 :rule cnf_or_neg :args (@t202 3)) % 0.38/0.69 (step @p227 :rule eq_resolve :premises (@p226 @p225)) % 0.38/0.69 (step @p228 :rule reordering :premises (@p227) :args ((or @t197 @t202))) % 0.38/0.69 (step @p229 :rule chain_m_resolution :premises (@p228 @p222) :args (@t197 @t203 @t204)) % 0.38/0.69 (step @p230 :rule bool-double-not-elim :args (@t200)) % 0.38/0.69 (step @p231 :rule nary_cong :premises (@p224 @p230) :args ((or @t202 (not @t201)))) % 0.38/0.69 (step @p232 :rule cnf_or_neg :args (@t202 1)) % 0.38/0.69 (step @p233 :rule eq_resolve :premises (@p232 @p231)) % 0.38/0.69 (step @p234 :rule reordering :premises (@p233) :args ((or @t200 @t202))) % 0.38/0.69 (step @p235 :rule chain_m_resolution :premises (@p234 @p222) :args (@t200 @t203 @t204)) % 0.38/0.69 (step @p236 :rule cnf_or_pos :args (@t205)) % 0.38/0.69 (step @p237 :rule reordering :premises (@p236) :args ((or @t201 @t199 @t180 (not @t205)))) % 0.38/0.69 (step @p238 :rule chain_m_resolution :premises (@p237 @p235 @p229 @p133) :args (@t180 @t206 (@list @t200 @t197 @t205))) % 0.38/0.69 (step @p239 :rule bool-impl-elim :args (@t4 @t12)) % 0.38/0.69 (step @p240 :rule cong :premises (@p239) :args (@t15)) % 0.38/0.69 (step @p241 :rule eq_resolve :premises (@p8 @p240)) % 0.38/0.69 (step @p242 :rule instantiate :premises (@p241) :args ((@list tptp.tptp_minus_1 tptp.n0))) % 0.38/0.69 (step @p243 :rule cnf_or_pos :args (@t209)) % 0.38/0.69 (step @p244 :rule reordering :premises (@p243) :args ((or @t208 @t207 (not @t209)))) % 0.38/0.69 (step @p245 :rule chain_m_resolution :premises (@p244 @p57 @p242) :args (@t207 (@list false false) (@list @t160 @t209))) % 0.38/0.69 (step @p246 :rule true_intro :premises (@p245)) % 0.38/0.69 (step @p247 :rule refl :args (tptp.n0)) % 0.38/0.69 (step @p248 :rule trans :premises (@p101 @p100 @p98)) % 0.38/0.69 (step @p249 :rule cong :premises (@p248 @p247) :args (@t178)) % 0.55/0.70 (step @p250 :rule trans :premises (@p249 @p246)) % 0.55/0.70 (step @p251 :rule true_elim :premises (@p250)) % 0.55/0.70 (step @p252 :rule cnf_or_pos :args (@t185)) % 0.55/0.70 (step @p253 :rule reordering :premises (@p252) :args ((or @t179 @t181 @t184 (not @t185)))) % 0.55/0.70 (step @p254 :rule chain_m_resolution :premises (@p253 @p251 @p238 @p123) :args (@t184 @t206 (@list @t178 @t180 @t185))) % 0.55/0.70 (step @p255 :rule trans :premises (@p254 @p101 @p100 @p98)) % 0.55/0.70 (step @p256 :rule refl :args (tptp.n1)) % 0.55/0.70 (step @p257 :rule cong :premises (@p256 @p255) :args ((tptp.plus tptp.n1 tptp.n0))) % 0.55/0.70 (step @p258 :rule instantiate :premises (@p91) :args (@t174)) % 0.55/0.70 (step @p259 :rule cong :premises (@p28) :args (@t210)) % 0.55/0.70 (step @p260 :rule eq-symm :args (@t69 @t68)) % 0.55/0.70 (step @p261 :rule cong :premises (@p260) :args (@t70)) % 0.55/0.70 (step @p262 :rule eq_resolve :premises (@p32 @p261)) % 0.55/0.70 (step @p263 :rule instantiate :premises (@p262) :args (@t173)) % 0.55/0.70 (step @p264 :rule symm :premises (@p263)) % 0.55/0.70 (step @p265 :rule refl :args (tptp.n2)) % 0.55/0.70 (step @p266 :rule cong :premises (@p265 @p255) :args ((tptp.plus tptp.n2 tptp.n0))) % 0.55/0.70 (step @p267 :rule instantiate :premises (@p262) :args (@t174)) % 0.55/0.70 (step @p268 :rule cong :premises (@p259) :args (@t211)) % 0.55/0.70 (step @p269 :rule eq-symm :args (@t72 @t71)) % 0.55/0.70 (step @p270 :rule cong :premises (@p269) :args (@t73)) % 0.55/0.70 (step @p271 :rule eq_resolve :premises (@p34 @p270)) % 0.55/0.70 (step @p272 :rule instantiate :premises (@p271) :args (@t173)) % 0.55/0.70 (step @p273 :rule symm :premises (@p272)) % 0.55/0.70 (step @p274 :rule refl :args (tptp.n3)) % 0.55/0.70 (step @p275 :rule cong :premises (@p274 @p255) :args ((tptp.plus tptp.n3 tptp.n0))) % 0.55/0.70 (step @p276 :rule instantiate :premises (@p271) :args (@t174)) % 0.55/0.70 (step @p277 :rule cong :premises (@p268) :args ((tptp.succ @t211))) % 0.55/0.70 (step @p278 :rule eq-symm :args (@t75 @t74)) % 0.55/0.70 (step @p279 :rule cong :premises (@p278) :args (@t76)) % 0.55/0.70 (step @p280 :rule eq_resolve :premises (@p36 @p279)) % 0.55/0.70 (step @p281 :rule instantiate :premises (@p280) :args (@t173)) % 0.55/0.70 (step @p282 :rule symm :premises (@p281)) % 0.55/0.70 (step @p283 :rule refl :args (tptp.n4)) % 0.55/0.70 (step @p284 :rule cong :premises (@p283 @p255) :args ((tptp.plus tptp.n4 tptp.n0))) % 0.55/0.70 (step @p285 :rule instantiate :premises (@p280) :args (@t174)) % 0.55/0.70 (step @p286 :rule symm :premises (@p81)) % 0.55/0.70 (step @p287 :rule trans :premises (@p286 @p285 @p284 @p282 @p277 @p276 @p275 @p273 @p268 @p267 @p266 @p264 @p259 @p258 @p257 @p93 @p28)) % 0.55/0.70 (step @p288 :rule cong :premises (@p81 @p287) :args ((tptp.gt @t172 tptp.n4))) % 0.55/0.70 (step @p289 :rule cong :premises (@p286 @p283) :args ((tptp.gt tptp.n4 tptp.n4))) % 0.55/0.70 (step @p290 :rule instantiate :premises (@p3) :args ((@list tptp.n4))) % 0.55/0.70 (step @p291 :rule false_intro :premises (@p290)) % 0.55/0.70 (step @p292 :rule symm :premises (@p291)) % 0.55/0.70 (step @p293 :rule trans :premises (@p292 @p289 @p288 @p88)) % 0.55/0.70 (step @p294 false :rule eq_resolve :premises (@p293 @p87)) % 0.55/0.70 ) % 0.55/0.70 % SZS output end Proof % 0.55/0.70 % cvc5 exiting %------------------------------------------------------------------------------