%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV188+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 : n029.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 0.53s 0.73s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV188+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.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 19:59:02 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.53/0.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.73 % SZS status Theorem % 0.53/0.73 % SZS output start Proof % 0.53/0.73 ( % 0.53/0.73 (declare-sort $$unsorted 0) % 0.53/0.73 (declare-const tptp.n135299 $$unsorted) % 0.53/0.73 (declare-const tptp.rho_init $$unsorted) % 0.53/0.73 (declare-const tptp.center_init $$unsorted) % 0.53/0.73 (declare-const tptp.rhoold_init $$unsorted) % 0.53/0.73 (declare-const tptp.sigmaold_init $$unsorted) % 0.53/0.73 (declare-const tptp.mu_init $$unsorted) % 0.53/0.73 (declare-const tptp.def $$unsorted) % 0.53/0.73 (declare-const tptp.use $$unsorted) % 0.53/0.73 (declare-const tptp.true Bool) % 0.53/0.73 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.muold_init $$unsorted) % 0.53/0.73 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.init $$unsorted) % 0.53/0.73 (declare-const tptp.n3 $$unsorted) % 0.53/0.73 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.53/0.73 (declare-const tptp.n0 $$unsorted) % 0.53/0.73 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.n1 $$unsorted) % 0.53/0.73 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.n5 $$unsorted) % 0.53/0.73 (declare-const tptp.q_init $$unsorted) % 0.53/0.73 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.loopcounter $$unsorted) % 0.53/0.73 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.53/0.73 (declare-const tptp.n4 $$unsorted) % 0.53/0.73 (declare-const tptp.n2 $$unsorted) % 0.53/0.73 (define @t1 () (@var "Y" $$unsorted)) % 0.53/0.73 (define @t2 () (@var "X" $$unsorted)) % 0.53/0.73 (define @t3 () (= @t2 @t1)) % 0.53/0.73 (define @t4 () (tptp.gt @t1 @t2)) % 0.53/0.73 (define @t5 () (tptp.gt @t2 @t1)) % 0.53/0.73 (define @t6 () (@list @t2 @t1)) % 0.53/0.73 (define @t7 () (@var "Z" $$unsorted)) % 0.53/0.73 (define @t8 () (@list @t2 @t1 @t7)) % 0.53/0.73 (define @t9 () (@list @t2)) % 0.53/0.73 (define @t10 () (tptp.leq @t2 @t7)) % 0.53/0.73 (define @t11 () (tptp.leq @t1 @t7)) % 0.53/0.73 (define @t12 () (tptp.leq @t2 @t1)) % 0.53/0.73 (define @t13 () (and @t12 @t11)) % 0.53/0.73 (define @t14 () (forall @t8 (=> @t13 @t10))) % 0.53/0.73 (define @t15 () (forall @t6 (=> @t4 @t12))) % 0.53/0.73 (define @t16 () (tptp.succ @t2)) % 0.53/0.73 (define @t17 () (tptp.succ @t1)) % 0.53/0.73 (define @t18 () (@var "C" $$unsorted)) % 0.53/0.73 (define @t19 () (tptp.uniform_int_rnd @t18 @t2)) % 0.53/0.73 (define @t20 () (tptp.leq tptp.n0 @t2)) % 0.53/0.73 (define @t21 () (@list @t2 @t18)) % 0.53/0.73 (define @t22 () (@var "Val" $$unsorted)) % 0.53/0.73 (define @t23 () (@var "I" $$unsorted)) % 0.53/0.73 (define @t24 () (@var "U" $$unsorted)) % 0.53/0.73 (define @t25 () (@var "L" $$unsorted)) % 0.53/0.73 (define @t26 () (tptp.leq @t23 @t24)) % 0.53/0.73 (define @t27 () (@var "J" $$unsorted)) % 0.53/0.73 (define @t28 () (@var "U2" $$unsorted)) % 0.53/0.73 (define @t29 () (@var "L2" $$unsorted)) % 0.53/0.73 (define @t30 () (@var "U1" $$unsorted)) % 0.53/0.73 (define @t31 () (@var "L1" $$unsorted)) % 0.53/0.73 (define @t32 () (@var "A" $$unsorted)) % 0.53/0.73 (define @t33 () (tptp.trans @t32)) % 0.53/0.73 (define @t34 () (@var "N" $$unsorted)) % 0.53/0.73 (define @t35 () (tptp.leq @t27 @t34)) % 0.53/0.73 (define @t36 () (tptp.leq tptp.n0 @t27)) % 0.53/0.73 (define @t37 () (tptp.leq @t23 @t34)) % 0.53/0.73 (define @t38 () (tptp.leq tptp.n0 @t23)) % 0.53/0.73 (define @t39 () (and @t38 @t37 @t36 @t35)) % 0.53/0.73 (define @t40 () (@list @t23 @t27)) % 0.53/0.73 (define @t41 () (forall @t40 (=> @t39 (= (tptp.a_select3 @t32 @t23 @t27) (tptp.a_select3 @t32 @t27 @t23))))) % 0.53/0.73 (define @t42 () (@list @t32 @t34)) % 0.53/0.73 (define @t43 () (tptp.inv @t32)) % 0.53/0.73 (define @t44 () (@var "VAL" $$unsorted)) % 0.53/0.73 (define @t45 () (@var "K" $$unsorted)) % 0.53/0.73 (define @t46 () (tptp.tptp_update3 @t32 @t45 @t45 @t44)) % 0.53/0.73 (define @t47 () (@var "B" $$unsorted)) % 0.53/0.73 (define @t48 () (tptp.tptp_madd @t32 @t47)) % 0.53/0.73 (define @t49 () (= (tptp.a_select3 @t47 @t23 @t27) (tptp.a_select3 @t47 @t27 @t23))) % 0.53/0.73 (define @t50 () (forall @t40 (=> @t39 @t49))) % 0.53/0.73 (define @t51 () (and @t41 @t50)) % 0.53/0.73 (define @t52 () (@list @t32 @t47 @t34)) % 0.53/0.73 (define @t53 () (tptp.tptp_msub @t32 @t47)) % 0.53/0.73 (define @t54 () (tptp.tptp_mmul @t32 (tptp.tptp_mmul @t47 @t33))) % 0.53/0.73 (define @t55 () (forall @t40 (=> @t39 (= (tptp.a_select3 @t54 @t23 @t27) (tptp.a_select3 @t54 @t27 @t23))))) % 0.53/0.73 (define @t56 () (@var "M" $$unsorted)) % 0.53/0.73 (define @t57 () (and @t38 (tptp.leq @t23 @t56) @t36 (tptp.leq @t27 @t56))) % 0.53/0.73 (define @t58 () (@var "E" $$unsorted)) % 0.53/0.73 (define @t59 () (@var "F" $$unsorted)) % 0.53/0.73 (define @t60 () (@var "D" $$unsorted)) % 0.53/0.73 (define @t61 () (tptp.tptp_madd @t32 (tptp.tptp_mmul @t47 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t18 (tptp.tptp_mmul @t60 (tptp.trans @t18))) (tptp.tptp_mmul @t58 (tptp.tptp_mmul @t59 (tptp.trans @t58)))) (tptp.trans @t47))))) % 0.53/0.73 (define @t62 () (@var "Body" $$unsorted)) % 0.53/0.73 (define @t63 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t62)) % 0.53/0.73 (define @t64 () (@list @t62)) % 0.53/0.73 (define @t65 () (tptp.succ tptp.tptp_minus_1)) % 0.53/0.73 (define @t66 () (tptp.plus tptp.n1 @t2)) % 0.53/0.73 (define @t67 () (forall @t9 (= @t66 @t16))) % 0.53/0.73 (define @t68 () (tptp.succ @t16)) % 0.53/0.73 (define @t69 () (tptp.plus tptp.n2 @t2)) % 0.53/0.73 (define @t70 () (forall @t9 (= @t69 @t68))) % 0.53/0.73 (define @t71 () (tptp.succ @t68)) % 0.53/0.73 (define @t72 () (tptp.plus tptp.n3 @t2)) % 0.53/0.73 (define @t73 () (forall @t9 (= @t72 @t71))) % 0.53/0.73 (define @t74 () (tptp.succ @t71)) % 0.53/0.73 (define @t75 () (tptp.plus tptp.n4 @t2)) % 0.53/0.73 (define @t76 () (forall @t9 (= @t75 @t74))) % 0.53/0.73 (define @t77 () (tptp.succ @t74)) % 0.53/0.73 (define @t78 () (tptp.pred @t2)) % 0.53/0.73 (define @t79 () (@var "V" $$unsorted)) % 0.53/0.73 (define @t80 () (tptp.tptp_update3 @t2 @t24 @t79 @t44)) % 0.53/0.73 (define @t81 () (@var "VAL2" $$unsorted)) % 0.53/0.73 (define @t82 () (not (= @t23 @t24))) % 0.53/0.73 (define @t83 () (@var "J0" $$unsorted)) % 0.53/0.73 (define @t84 () (@var "I0" $$unsorted)) % 0.53/0.73 (define @t85 () (tptp.leq @t84 @t24)) % 0.53/0.73 (define @t86 () (tptp.leq tptp.n0 @t84)) % 0.53/0.73 (define @t87 () (tptp.tptp_update2 @t2 @t24 @t44)) % 0.53/0.73 (define @t88 () (@var "H" $$unsorted)) % 0.53/0.73 (define @t89 () (tptp.a_select2 tptp.mu_init @t88)) % 0.53/0.73 (define @t90 () (tptp.leq @t88 tptp.tptp_minus_1)) % 0.53/0.73 (define @t91 () (tptp.leq tptp.n0 @t88)) % 0.53/0.73 (define @t92 () (and @t91 @t90)) % 0.53/0.73 (define @t93 () (=> @t92 (= @t89 tptp.init))) % 0.53/0.73 (define @t94 () (@list @t88)) % 0.53/0.73 (define @t95 () (forall @t94 @t93)) % 0.53/0.73 (define @t96 () (@var "G" $$unsorted)) % 0.53/0.73 (define @t97 () (tptp.a_select2 tptp.sigmaold_init @t96)) % 0.53/0.73 (define @t98 () (tptp.leq @t96 tptp.n4)) % 0.53/0.73 (define @t99 () (tptp.leq tptp.n0 @t96)) % 0.53/0.73 (define @t100 () (and @t99 @t98)) % 0.53/0.73 (define @t101 () (=> @t100 (= @t97 tptp.init))) % 0.53/0.73 (define @t102 () (@list @t96)) % 0.53/0.73 (define @t103 () (forall @t102 @t101)) % 0.53/0.73 (define @t104 () (tptp.gt tptp.loopcounter tptp.n1)) % 0.53/0.73 (define @t105 () (=> @t104 @t103)) % 0.53/0.73 (define @t106 () (tptp.a_select2 tptp.rhoold_init @t59)) % 0.53/0.73 (define @t107 () (tptp.leq @t59 tptp.n4)) % 0.53/0.73 (define @t108 () (tptp.leq tptp.n0 @t59)) % 0.53/0.73 (define @t109 () (and @t108 @t107)) % 0.53/0.73 (define @t110 () (=> @t109 (= @t106 tptp.init))) % 0.53/0.73 (define @t111 () (@list @t59)) % 0.53/0.73 (define @t112 () (forall @t111 @t110)) % 0.53/0.73 (define @t113 () (=> @t104 @t112)) % 0.53/0.73 (define @t114 () (tptp.a_select2 tptp.muold_init @t58)) % 0.53/0.73 (define @t115 () (tptp.leq @t58 tptp.n4)) % 0.53/0.73 (define @t116 () (tptp.leq tptp.n0 @t58)) % 0.53/0.73 (define @t117 () (and @t116 @t115)) % 0.53/0.73 (define @t118 () (=> @t117 (= @t114 tptp.init))) % 0.53/0.73 (define @t119 () (@list @t58)) % 0.53/0.73 (define @t120 () (forall @t119 @t118)) % 0.53/0.73 (define @t121 () (=> @t104 @t120)) % 0.53/0.73 (define @t122 () (tptp.a_select3 tptp.center_init @t60 tptp.n0)) % 0.53/0.73 (define @t123 () (tptp.leq @t60 tptp.n4)) % 0.53/0.73 (define @t124 () (tptp.leq tptp.n0 @t60)) % 0.53/0.73 (define @t125 () (and @t124 @t123)) % 0.53/0.73 (define @t126 () (=> @t125 (= @t122 tptp.init))) % 0.53/0.73 (define @t127 () (@list @t60)) % 0.53/0.73 (define @t128 () (forall @t127 @t126)) % 0.53/0.73 (define @t129 () (tptp.a_select2 tptp.rho_init @t18)) % 0.53/0.73 (define @t130 () (tptp.leq @t18 tptp.n4)) % 0.53/0.73 (define @t131 () (tptp.leq tptp.n0 @t18)) % 0.53/0.73 (define @t132 () (and @t131 @t130)) % 0.53/0.73 (define @t133 () (=> @t132 (= @t129 tptp.init))) % 0.53/0.73 (define @t134 () (@list @t18)) % 0.53/0.73 (define @t135 () (forall @t134 @t133)) % 0.53/0.73 (define @t136 () (tptp.a_select3 tptp.q_init @t32 @t47)) % 0.53/0.73 (define @t137 () (tptp.leq @t47 tptp.n4)) % 0.53/0.73 (define @t138 () (tptp.leq tptp.n0 @t47)) % 0.53/0.73 (define @t139 () (and @t138 @t137)) % 0.53/0.73 (define @t140 () (=> @t139 (= @t136 tptp.init))) % 0.53/0.73 (define @t141 () (@list @t47)) % 0.53/0.73 (define @t142 () (forall @t141 @t140)) % 0.53/0.73 (define @t143 () (tptp.leq @t32 tptp.n135299)) % 0.53/0.73 (define @t144 () (tptp.leq tptp.n0 @t32)) % 0.53/0.73 (define @t145 () (and @t144 @t143)) % 0.53/0.73 (define @t146 () (=> @t145 @t142)) % 0.53/0.73 (define @t147 () (@list @t32)) % 0.53/0.73 (define @t148 () (forall @t147 @t146)) % 0.53/0.73 (define @t149 () (and @t148 @t135 @t128 @t121 @t113 @t105)) % 0.53/0.73 (define @t150 () (=> @t149 @t95)) % 0.53/0.73 (define @t151 () (not @t150)) % 0.53/0.73 (define @t152 () (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.53/0.73 (define @t153 () (= @t2 tptp.n4)) % 0.53/0.73 (define @t154 () (= @t2 tptp.n3)) % 0.53/0.73 (define @t155 () (= @t2 tptp.n2)) % 0.53/0.73 (define @t156 () (= @t2 tptp.n1)) % 0.53/0.73 (define @t157 () (= @t2 tptp.n0)) % 0.53/0.73 (define @t158 () (tptp.leq @t2 tptp.n0)) % 0.53/0.73 (define @t159 () (and @t20 @t158)) % 0.53/0.73 (define @t160 () (forall @t9 (=> @t159 @t157))) % 0.53/0.73 (define @t161 () (tptp.succ tptp.n0)) % 0.53/0.73 (define @t162 () (tptp.succ @t161)) % 0.53/0.73 (define @t163 () (tptp.succ @t162)) % 0.53/0.73 (define @t164 () (tptp.succ @t163)) % 0.53/0.73 (define @t165 () (@list tptp.tptp_minus_1)) % 0.53/0.73 (define @t166 () (not @t158)) % 0.53/0.73 (define @t167 () (not @t20)) % 0.53/0.73 (define @t168 () (or @t167 @t166 @t157)) % 0.53/0.73 (define @t169 () (tptp.leq tptp.tptp_minus_1 tptp.n0)) % 0.53/0.73 (define @t170 () (not @t169)) % 0.53/0.73 (define @t171 () (tptp.leq tptp.n0 tptp.tptp_minus_1)) % 0.53/0.73 (define @t172 () (not @t171)) % 0.53/0.73 (define @t173 () (or @t172 @t170 (= tptp.tptp_minus_1 tptp.n0))) % 0.53/0.73 (define @t174 () (forall @t9 @t168)) % 0.53/0.73 (define @t175 () (= tptp.n0 tptp.tptp_minus_1)) % 0.53/0.73 (define @t176 () (or @t172 @t170 @t175)) % 0.53/0.73 (define @t177 () (not @t152)) % 0.53/0.73 (define @t178 () (or @t177 @t169)) % 0.53/0.73 (define @t179 () (not @t11)) % 0.53/0.73 (define @t180 () (not @t12)) % 0.53/0.73 (define @t181 () (= tptp.init @t89)) % 0.53/0.73 (define @t182 () (not @t90)) % 0.53/0.73 (define @t183 () (not @t91)) % 0.53/0.73 (define @t184 () (or @t183 @t182 @t181)) % 0.53/0.73 (define @t185 () (@quantifiers_skolemize (forall @t94 @t184) 0)) % 0.53/0.73 (define @t186 () (= tptp.init @t97)) % 0.53/0.73 (define @t187 () (not @t98)) % 0.53/0.73 (define @t188 () (not @t99)) % 0.53/0.73 (define @t189 () (= tptp.init @t106)) % 0.53/0.73 (define @t190 () (not @t107)) % 0.53/0.73 (define @t191 () (not @t108)) % 0.53/0.73 (define @t192 () (= tptp.init @t114)) % 0.53/0.73 (define @t193 () (not @t115)) % 0.53/0.73 (define @t194 () (not @t116)) % 0.53/0.73 (define @t195 () (= tptp.init @t122)) % 0.53/0.73 (define @t196 () (not @t123)) % 0.53/0.73 (define @t197 () (not @t124)) % 0.53/0.73 (define @t198 () (= tptp.init @t129)) % 0.53/0.73 (define @t199 () (not @t130)) % 0.53/0.73 (define @t200 () (not @t131)) % 0.53/0.73 (define @t201 () (@var "BOUND_VARIABLE_8431" $$unsorted)) % 0.53/0.73 (define @t202 () (= tptp.init (tptp.a_select3 tptp.q_init @t32 @t201))) % 0.53/0.73 (define @t203 () (not (tptp.leq @t201 tptp.n4))) % 0.53/0.73 (define @t204 () (not (tptp.leq tptp.n0 @t201))) % 0.53/0.73 (define @t205 () (not @t143)) % 0.53/0.73 (define @t206 () (not @t144)) % 0.53/0.73 (define @t207 () (or @t204 @t203 @t202)) % 0.53/0.73 (define @t208 () (or @t206 @t205 @t207)) % 0.53/0.73 (define @t209 () (forall (@list @t32 @t201) @t208)) % 0.53/0.73 (define @t210 () (@list @t201)) % 0.53/0.73 (define @t211 () (forall @t210 @t208)) % 0.53/0.73 (define @t212 () (forall @t210 @t207)) % 0.53/0.73 (define @t213 () (or @t206 @t205 @t212)) % 0.53/0.73 (define @t214 () (= tptp.init @t136)) % 0.53/0.73 (define @t215 () (not @t137)) % 0.53/0.73 (define @t216 () (not @t138)) % 0.53/0.73 (define @t217 () (or @t216 @t215 @t214)) % 0.53/0.73 (define @t218 () (forall @t141 @t217)) % 0.53/0.73 (define @t219 () (or @t206 @t205 @t218)) % 0.53/0.73 (define @t220 () (tptp.leq @t185 tptp.tptp_minus_1)) % 0.53/0.73 (define @t221 () (not @t220)) % 0.53/0.73 (define @t222 () (tptp.leq tptp.n0 @t185)) % 0.53/0.73 (define @t223 () (not @t222)) % 0.53/0.73 (define @t224 () (or @t223 @t221 (= tptp.init (tptp.a_select2 tptp.mu_init @t185)))) % 0.53/0.73 (define @t225 () (@list true)) % 0.53/0.73 (define @t226 () (@list @t224)) % 0.53/0.73 (define @t227 () (or @t223 @t221 @t171)) % 0.53/0.73 (define @t228 () (@list false false false)) % 0.53/0.73 (define @t229 () (@list tptp.n0)) % 0.53/0.73 (define @t230 () (tptp.succ @t65)) % 0.53/0.73 (define @t231 () (tptp.succ @t230)) % 0.53/0.73 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.53/0.73 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.53/0.73 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.53/0.73 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.53/0.73 (assume @p5 @t14) % 0.53/0.73 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.53/0.73 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.53/0.73 (assume @p8 @t15) % 0.53/0.73 (assume @p9 (forall @t6 (=> (and @t12 (not @t3)) @t4))) % 0.53/0.73 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.53/0.73 (assume @p11 (forall @t9 (tptp.gt @t16 @t2))) % 0.53/0.73 (assume @p12 (forall @t6 (=> @t12 (tptp.leq @t2 @t17)))) % 0.53/0.73 (assume @p13 (forall @t6 (= @t12 (tptp.gt @t17 @t2)))) % 0.53/0.73 (assume @p14 (forall @t21 (=> @t20 (tptp.leq @t19 @t2)))) % 0.53/0.73 (assume @p15 (forall @t21 (=> @t20 (tptp.leq tptp.n0 @t19)))) % 0.53/0.73 (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)))) % 0.53/0.73 (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)))) % 0.53/0.73 (assume @p18 (forall @t42 (=> @t41 (forall @t40 (=> @t39 (= (tptp.a_select3 @t33 @t23 @t27) (tptp.a_select3 @t33 @t27 @t23))))))) % 0.53/0.73 (assume @p19 (forall @t42 (=> @t41 (forall @t40 (=> @t39 (= (tptp.a_select3 @t43 @t23 @t27) (tptp.a_select3 @t43 @t27 @t23))))))) % 0.53/0.73 (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))))))) % 0.53/0.73 (assume @p21 (forall @t52 (=> @t51 (forall @t40 (=> @t39 (= (tptp.a_select3 @t48 @t23 @t27) (tptp.a_select3 @t48 @t27 @t23))))))) % 0.53/0.73 (assume @p22 (forall @t52 (=> @t51 (forall @t40 (=> @t39 (= (tptp.a_select3 @t53 @t23 @t27) (tptp.a_select3 @t53 @t27 @t23))))))) % 0.53/0.73 (assume @p23 (forall @t52 (=> @t50 @t55))) % 0.53/0.73 (assume @p24 (forall (@list @t32 @t47 @t34 @t56) (=> (forall @t40 (=> @t57 @t49)) @t55))) % 0.53/0.73 (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))))))) % 0.53/0.73 (assume @p26 (forall @t64 (= @t63 tptp.n0))) % 0.53/0.73 (assume @p27 (forall @t64 (= tptp.tptp_float_0_0 @t63))) % 0.53/0.73 (assume @p28 (= @t65 tptp.n0)) % 0.53/0.73 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t16))) % 0.53/0.73 (assume @p30 @t67) % 0.53/0.73 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t68))) % 0.53/0.73 (assume @p32 @t70) % 0.53/0.73 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t71))) % 0.53/0.73 (assume @p34 @t73) % 0.53/0.73 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t74))) % 0.53/0.73 (assume @p36 @t76) % 0.53/0.73 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t77))) % 0.53/0.73 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t77))) % 0.53/0.73 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t78))) % 0.53/0.73 (assume @p40 (forall @t9 (= (tptp.pred @t16) @t2))) % 0.53/0.73 (assume @p41 (forall @t9 (= (tptp.succ @t78) @t2))) % 0.53/0.73 (assume @p42 (forall @t6 (= (tptp.leq @t16 @t17) @t12))) % 0.53/0.73 (assume @p43 (forall @t6 (=> (tptp.leq @t16 @t1) @t4))) % 0.53/0.73 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.53/0.73 (assume @p45 (forall (@list @t2 @t24 @t79 @t44) (= (tptp.a_select3 @t80 @t24 @t79) @t44))) % 0.53/0.73 (assume @p46 (forall (@list @t23 @t27 @t24 @t79 @t2 @t44 @t81) (=> (and @t82 (= @t27 @t79) (= (tptp.a_select3 @t2 @t24 @t79) @t44)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t23 @t27 @t81) @t24 @t79) @t44)))) % 0.53/0.73 (assume @p47 (forall (@list @t23 @t27 @t24 @t79 @t2 @t44) (=> (and (forall (@list @t84 @t83) (=> (and @t86 (tptp.leq tptp.n0 @t83) @t85 (tptp.leq @t83 @t79)) (= (tptp.a_select3 @t2 @t84 @t83) @t44))) @t38 @t26 @t36 (tptp.leq @t27 @t79)) (= (tptp.a_select3 @t80 @t23 @t27) @t44)))) % 0.53/0.73 (assume @p48 (forall (@list @t2 @t24 @t44) (= (tptp.a_select2 @t87 @t24) @t44))) % 0.53/0.73 (assume @p49 (forall (@list @t23 @t24 @t2 @t44 @t81) (=> (and @t82 (= (tptp.a_select2 @t2 @t24) @t44)) (= (tptp.a_select2 (tptp.tptp_update2 @t2 @t23 @t81) @t24) @t44)))) % 0.53/0.73 (assume @p50 (forall (@list @t23 @t24 @t2 @t44) (=> (and (forall (@list @t84) (=> (and @t86 @t85) (= (tptp.a_select2 @t2 @t84) @t44))) @t38 @t26) (= (tptp.a_select2 @t87 @t23) @t44)))) % 0.53/0.73 (assume @p51 tptp.true) % 0.53/0.73 (assume @p52 (not (= tptp.def tptp.use))) % 0.53/0.73 (assume @p53 @t151) % 0.53/0.73 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.53/0.73 (assume @p55 (tptp.gt tptp.n135299 tptp.n4)) % 0.53/0.73 (assume @p56 (tptp.gt tptp.n135299 tptp.n5)) % 0.53/0.73 (assume @p57 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.53/0.73 (assume @p58 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.53/0.73 (assume @p59 (tptp.gt tptp.n135299 tptp.tptp_minus_1)) % 0.53/0.73 (assume @p60 @t152) % 0.53/0.73 (assume @p61 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.53/0.73 (assume @p62 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.53/0.73 (assume @p63 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.53/0.73 (assume @p64 (tptp.gt tptp.n4 tptp.n0)) % 0.53/0.73 (assume @p65 (tptp.gt tptp.n5 tptp.n0)) % 0.53/0.73 (assume @p66 (tptp.gt tptp.n135299 tptp.n0)) % 0.53/0.73 (assume @p67 (tptp.gt tptp.n1 tptp.n0)) % 0.53/0.73 (assume @p68 (tptp.gt tptp.n2 tptp.n0)) % 0.53/0.73 (assume @p69 (tptp.gt tptp.n3 tptp.n0)) % 0.53/0.73 (assume @p70 (tptp.gt tptp.n4 tptp.n1)) % 0.53/0.73 (assume @p71 (tptp.gt tptp.n5 tptp.n1)) % 0.53/0.73 (assume @p72 (tptp.gt tptp.n135299 tptp.n1)) % 0.53/0.73 (assume @p73 (tptp.gt tptp.n2 tptp.n1)) % 0.53/0.73 (assume @p74 (tptp.gt tptp.n3 tptp.n1)) % 0.53/0.73 (assume @p75 (tptp.gt tptp.n4 tptp.n2)) % 0.53/0.73 (assume @p76 (tptp.gt tptp.n5 tptp.n2)) % 0.53/0.73 (assume @p77 (tptp.gt tptp.n135299 tptp.n2)) % 0.53/0.73 (assume @p78 (tptp.gt tptp.n3 tptp.n2)) % 0.53/0.73 (assume @p79 (tptp.gt tptp.n4 tptp.n3)) % 0.53/0.73 (assume @p80 (tptp.gt tptp.n5 tptp.n3)) % 0.53/0.73 (assume @p81 (tptp.gt tptp.n135299 tptp.n3)) % 0.53/0.73 (assume @p82 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n4)) (or @t157 @t156 @t155 @t154 @t153)))) % 0.53/0.73 (assume @p83 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n5)) (or @t157 @t156 @t155 @t154 @t153 (= @t2 tptp.n5))))) % 0.53/0.73 (assume @p84 @t160) % 0.53/0.73 (assume @p85 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n1)) (or @t157 @t156)))) % 0.53/0.73 (assume @p86 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n2)) (or @t157 @t156 @t155)))) % 0.53/0.73 (assume @p87 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n3)) (or @t157 @t156 @t155 @t154)))) % 0.53/0.73 (assume @p88 (= @t164 tptp.n4)) % 0.53/0.73 (assume @p89 (= (tptp.succ @t164) tptp.n5)) % 0.53/0.73 (assume @p90 (= @t161 tptp.n1)) % 0.53/0.73 (assume @p91 (= @t162 tptp.n2)) % 0.53/0.73 (assume @p92 (= @t163 tptp.n3)) % 0.53/0.73 (assume @p93 true) % 0.53/0.73 (step @p94 :rule evaluate :args ((= false true))) % 0.53/0.73 (step @p95 :rule true_intro :premises (@p64)) % 0.53/0.73 (step @p96 :rule eq-symm :args (@t66 @t16)) % 0.53/0.73 (step @p97 :rule cong :premises (@p96) :args (@t67)) % 0.53/0.73 (step @p98 :rule eq_resolve :premises (@p30 @p97)) % 0.53/0.73 (step @p99 :rule instantiate :premises (@p98) :args (@t165)) % 0.53/0.73 (step @p100 :rule symm :premises (@p99)) % 0.53/0.73 (step @p101 :rule aci_norm :args ((= (or (or @t167 @t166) @t157) @t168))) % 0.53/0.73 (step @p102 :rule refl :args (@t157)) % 0.53/0.73 (step @p103 :rule bool-and-de-morgan :args (@t20 @t158 true)) % 0.53/0.73 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or (not @t159) @t157))) % 0.53/0.73 (step @p105 :rule trans :premises (@p104 @p101)) % 0.53/0.73 (step @p106 :rule bool-impl-elim :args (@t159 @t157)) % 0.53/0.73 (step @p107 :rule trans :premises (@p106 @p105)) % 0.53/0.73 (step @p108 :rule cong :premises (@p107) :args (@t160)) % 0.53/0.73 (step @p109 :rule eq_resolve :premises (@p84 @p108)) % 0.53/0.73 (step @p110 :rule eq-symm :args (tptp.tptp_minus_1 tptp.n0)) % 0.53/0.73 (step @p111 :rule refl :args (@t170)) % 0.53/0.73 (step @p112 :rule refl :args (@t172)) % 0.53/0.73 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110) :args (@t173)) % 0.53/0.73 (step @p114 :rule refl :args (@t174)) % 0.53/0.73 (step @p115 :rule cong :premises (@p114 @p113) :args ((=> @t174 @t173))) % 0.53/0.73 (assume-push @p325 @t174) % 0.53/0.73 (step @p117 :rule instantiate :premises (@p109) :args (@t165)) % 0.53/0.73 (step-pop @p326 :rule scope :premises (@p117)) % 0.53/0.73 (step @p118 :rule process_scope :premises (@p326) :args (@t173)) % 0.53/0.73 (step @p120 :rule eq_resolve :premises (@p118 @p115)) % 0.53/0.73 (step @p121 :rule implies_elim :premises (@p120)) % 0.53/0.73 (step @p122 :rule chain_m_resolution :premises (@p121 @p109) :args (@t176 (@list false) (@list @t174))) % 0.53/0.73 (step @p123 :rule bool-impl-elim :args (@t4 @t12)) % 0.53/0.73 (step @p124 :rule cong :premises (@p123) :args (@t15)) % 0.53/0.73 (step @p125 :rule eq_resolve :premises (@p8 @p124)) % 0.53/0.73 (step @p126 :rule instantiate :premises (@p125) :args ((@list tptp.tptp_minus_1 tptp.n0))) % 0.53/0.73 (step @p127 :rule cnf_or_pos :args (@t178)) % 0.53/0.73 (step @p128 :rule reordering :premises (@p127) :args ((or @t177 @t169 (not @t178)))) % 0.53/0.73 (step @p129 :rule chain_m_resolution :premises (@p128 @p60 @p126) :args (@t169 (@list false false) (@list @t152 @t178))) % 0.53/0.73 (step @p130 :rule aci_norm :args ((= (or (or @t180 @t179) @t10) (or @t180 @t179 @t10)))) % 0.53/0.73 (step @p131 :rule refl :args (@t10)) % 0.53/0.73 (step @p132 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 0.53/0.73 (step @p133 :rule nary_cong :premises (@p132 @p131) :args ((or (not @t13) @t10))) % 0.53/0.73 (step @p134 :rule trans :premises (@p133 @p130)) % 0.53/0.73 (step @p135 :rule bool-impl-elim :args (@t13 @t10)) % 0.53/0.73 (step @p136 :rule trans :premises (@p135 @p134)) % 0.53/0.73 (step @p137 :rule cong :premises (@p136) :args (@t14)) % 0.53/0.73 (step @p138 :rule eq_resolve :premises (@p5 @p137)) % 0.53/0.73 (step @p139 :rule instantiate :premises (@p138) :args ((@list tptp.n0 @t185 tptp.tptp_minus_1))) % 0.53/0.73 (step @p140 :rule aci_norm :args ((= (or (or @t183 @t182) @t181) @t184))) % 0.53/0.73 (step @p141 :rule refl :args (@t181)) % 0.53/0.73 (step @p142 :rule bool-and-de-morgan :args (@t91 @t90 true)) % 0.53/0.73 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or (not @t92) @t181))) % 0.53/0.73 (step @p144 :rule trans :premises (@p143 @p140)) % 0.53/0.73 (step @p145 :rule bool-impl-elim :args (@t92 @t181)) % 0.53/0.73 (step @p146 :rule trans :premises (@p145 @p144)) % 0.53/0.73 (step @p147 :rule cong :premises (@p146) :args ((forall @t94 (=> @t92 @t181)))) % 0.53/0.73 (step @p148 :rule eq-symm :args (@t89 tptp.init)) % 0.53/0.73 (step @p149 :rule refl :args (@t92)) % 0.53/0.73 (step @p150 :rule cong :premises (@p149 @p148) :args (@t93)) % 0.53/0.73 (step @p151 :rule cong :premises (@p150) :args (@t95)) % 0.53/0.73 (step @p152 :rule trans :premises (@p151 @p147)) % 0.53/0.73 (step @p153 :rule aci_norm :args ((= (or (or @t188 @t187) @t186) (or @t188 @t187 @t186)))) % 0.53/0.73 (step @p154 :rule refl :args (@t186)) % 0.53/0.73 (step @p155 :rule bool-and-de-morgan :args (@t99 @t98 true)) % 0.53/0.73 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((or (not @t100) @t186))) % 0.53/0.73 (step @p157 :rule trans :premises (@p156 @p153)) % 0.53/0.73 (step @p158 :rule bool-impl-elim :args (@t100 @t186)) % 0.53/0.73 (step @p159 :rule trans :premises (@p158 @p157)) % 0.53/0.73 (step @p160 :rule cong :premises (@p159) :args ((forall @t102 (=> @t100 @t186)))) % 0.53/0.73 (step @p161 :rule eq-symm :args (@t97 tptp.init)) % 0.53/0.73 (step @p162 :rule refl :args (@t100)) % 0.53/0.73 (step @p163 :rule cong :premises (@p162 @p161) :args (@t101)) % 0.53/0.73 (step @p164 :rule cong :premises (@p163) :args (@t103)) % 0.53/0.73 (step @p165 :rule trans :premises (@p164 @p160)) % 0.53/0.73 (step @p166 :rule refl :args (@t104)) % 0.53/0.73 (step @p167 :rule cong :premises (@p166 @p165) :args (@t105)) % 0.53/0.73 (step @p168 :rule aci_norm :args ((= (or (or @t191 @t190) @t189) (or @t191 @t190 @t189)))) % 0.53/0.73 (step @p169 :rule refl :args (@t189)) % 0.53/0.73 (step @p170 :rule bool-and-de-morgan :args (@t108 @t107 true)) % 0.53/0.73 (step @p171 :rule nary_cong :premises (@p170 @p169) :args ((or (not @t109) @t189))) % 0.53/0.73 (step @p172 :rule trans :premises (@p171 @p168)) % 0.53/0.73 (step @p173 :rule bool-impl-elim :args (@t109 @t189)) % 0.53/0.73 (step @p174 :rule trans :premises (@p173 @p172)) % 0.53/0.73 (step @p175 :rule cong :premises (@p174) :args ((forall @t111 (=> @t109 @t189)))) % 0.53/0.73 (step @p176 :rule eq-symm :args (@t106 tptp.init)) % 0.53/0.73 (step @p177 :rule refl :args (@t109)) % 0.53/0.73 (step @p178 :rule cong :premises (@p177 @p176) :args (@t110)) % 0.53/0.73 (step @p179 :rule cong :premises (@p178) :args (@t112)) % 0.53/0.73 (step @p180 :rule trans :premises (@p179 @p175)) % 0.53/0.73 (step @p181 :rule cong :premises (@p166 @p180) :args (@t113)) % 0.53/0.73 (step @p182 :rule aci_norm :args ((= (or (or @t194 @t193) @t192) (or @t194 @t193 @t192)))) % 0.53/0.73 (step @p183 :rule refl :args (@t192)) % 0.53/0.73 (step @p184 :rule bool-and-de-morgan :args (@t116 @t115 true)) % 0.53/0.73 (step @p185 :rule nary_cong :premises (@p184 @p183) :args ((or (not @t117) @t192))) % 0.53/0.73 (step @p186 :rule trans :premises (@p185 @p182)) % 0.53/0.73 (step @p187 :rule bool-impl-elim :args (@t117 @t192)) % 0.53/0.73 (step @p188 :rule trans :premises (@p187 @p186)) % 0.53/0.73 (step @p189 :rule cong :premises (@p188) :args ((forall @t119 (=> @t117 @t192)))) % 0.53/0.73 (step @p190 :rule eq-symm :args (@t114 tptp.init)) % 0.53/0.73 (step @p191 :rule refl :args (@t117)) % 0.53/0.73 (step @p192 :rule cong :premises (@p191 @p190) :args (@t118)) % 0.53/0.73 (step @p193 :rule cong :premises (@p192) :args (@t120)) % 0.53/0.73 (step @p194 :rule trans :premises (@p193 @p189)) % 0.53/0.73 (step @p195 :rule cong :premises (@p166 @p194) :args (@t121)) % 0.53/0.73 (step @p196 :rule aci_norm :args ((= (or (or @t197 @t196) @t195) (or @t197 @t196 @t195)))) % 0.53/0.73 (step @p197 :rule refl :args (@t195)) % 0.53/0.73 (step @p198 :rule bool-and-de-morgan :args (@t124 @t123 true)) % 0.53/0.73 (step @p199 :rule nary_cong :premises (@p198 @p197) :args ((or (not @t125) @t195))) % 0.53/0.73 (step @p200 :rule trans :premises (@p199 @p196)) % 0.53/0.73 (step @p201 :rule bool-impl-elim :args (@t125 @t195)) % 0.53/0.73 (step @p202 :rule trans :premises (@p201 @p200)) % 0.53/0.73 (step @p203 :rule cong :premises (@p202) :args ((forall @t127 (=> @t125 @t195)))) % 0.53/0.73 (step @p204 :rule eq-symm :args (@t122 tptp.init)) % 0.53/0.73 (step @p205 :rule refl :args (@t125)) % 0.53/0.73 (step @p206 :rule cong :premises (@p205 @p204) :args (@t126)) % 0.53/0.73 (step @p207 :rule cong :premises (@p206) :args (@t128)) % 0.53/0.73 (step @p208 :rule trans :premises (@p207 @p203)) % 0.53/0.73 (step @p209 :rule aci_norm :args ((= (or (or @t200 @t199) @t198) (or @t200 @t199 @t198)))) % 0.53/0.73 (step @p210 :rule refl :args (@t198)) % 0.53/0.73 (step @p211 :rule bool-and-de-morgan :args (@t131 @t130 true)) % 0.53/0.73 (step @p212 :rule nary_cong :premises (@p211 @p210) :args ((or (not @t132) @t198))) % 0.53/0.73 (step @p213 :rule trans :premises (@p212 @p209)) % 0.53/0.73 (step @p214 :rule bool-impl-elim :args (@t132 @t198)) % 0.53/0.73 (step @p215 :rule trans :premises (@p214 @p213)) % 0.53/0.73 (step @p216 :rule cong :premises (@p215) :args ((forall @t134 (=> @t132 @t198)))) % 0.53/0.73 (step @p217 :rule eq-symm :args (@t129 tptp.init)) % 0.53/0.73 (step @p218 :rule refl :args (@t132)) % 0.53/0.73 (step @p219 :rule cong :premises (@p218 @p217) :args (@t133)) % 0.53/0.73 (step @p220 :rule cong :premises (@p219) :args (@t135)) % 0.53/0.73 (step @p221 :rule trans :premises (@p220 @p216)) % 0.53/0.73 (step @p222 :rule aci_norm :args ((= @t208 (or @t206 @t205 @t204 @t203 @t202)))) % 0.53/0.73 (step @p223 :rule cong :premises (@p222) :args (@t209)) % 0.53/0.73 (step @p224 :rule quant-merge-prenex :args ((= (forall @t147 @t211) @t209))) % 0.53/0.73 (step @p225 :rule alpha_equiv :args (@t212 (@list @t201) (@list @t47))) % 0.53/0.73 (step @p226 :rule refl :args (@t205)) % 0.53/0.73 (step @p227 :rule refl :args (@t206)) % 0.53/0.73 (step @p228 :rule nary_cong :premises (@p227 @p226 @p225) :args (@t213)) % 0.53/0.73 (step @p229 :rule quant-miniscope-or :args ((= @t211 @t213))) % 0.53/0.73 (step @p230 :rule trans :premises (@p229 @p228)) % 0.53/0.73 (step @p231 :rule symm :premises (@p230)) % 0.53/0.73 (step @p232 :rule cong :premises (@p231) :args ((forall @t147 @t219))) % 0.53/0.73 (step @p233 :rule trans :premises (@p232 @p224)) % 0.53/0.73 (step @p234 :rule trans :premises (@p233 @p223)) % 0.53/0.73 (step @p235 :rule aci_norm :args ((= (or (or @t206 @t205) @t218) @t219))) % 0.53/0.73 (step @p236 :rule refl :args (@t218)) % 0.53/0.73 (step @p237 :rule bool-and-de-morgan :args (@t144 @t143 true)) % 0.53/0.73 (step @p238 :rule nary_cong :premises (@p237 @p236) :args ((or (not @t145) @t218))) % 0.53/0.73 (step @p239 :rule trans :premises (@p238 @p235)) % 0.53/0.73 (step @p240 :rule bool-impl-elim :args (@t145 @t218)) % 0.53/0.73 (step @p241 :rule trans :premises (@p240 @p239)) % 0.53/0.73 (step @p242 :rule cong :premises (@p241) :args ((forall @t147 (=> @t145 @t218)))) % 0.53/0.73 (step @p243 :rule trans :premises (@p242 @p234)) % 0.53/0.73 (step @p244 :rule aci_norm :args ((= (or (or @t216 @t215) @t214) @t217))) % 0.53/0.73 (step @p245 :rule refl :args (@t214)) % 0.53/0.73 (step @p246 :rule bool-and-de-morgan :args (@t138 @t137 true)) % 0.53/0.73 (step @p247 :rule nary_cong :premises (@p246 @p245) :args ((or (not @t139) @t214))) % 0.53/0.73 (step @p248 :rule trans :premises (@p247 @p244)) % 0.53/0.73 (step @p249 :rule bool-impl-elim :args (@t139 @t214)) % 0.53/0.73 (step @p250 :rule trans :premises (@p249 @p248)) % 0.53/0.73 (step @p251 :rule cong :premises (@p250) :args ((forall @t141 (=> @t139 @t214)))) % 0.53/0.73 (step @p252 :rule eq-symm :args (@t136 tptp.init)) % 0.53/0.73 (step @p253 :rule refl :args (@t139)) % 0.53/0.73 (step @p254 :rule cong :premises (@p253 @p252) :args (@t140)) % 0.53/0.73 (step @p255 :rule cong :premises (@p254) :args (@t142)) % 0.53/0.73 (step @p256 :rule trans :premises (@p255 @p251)) % 0.53/0.73 (step @p257 :rule refl :args (@t145)) % 0.53/0.73 (step @p258 :rule cong :premises (@p257 @p256) :args (@t146)) % 0.53/0.73 (step @p259 :rule cong :premises (@p258) :args (@t148)) % 0.53/0.73 (step @p260 :rule trans :premises (@p259 @p243)) % 0.53/0.73 (step @p261 :rule nary_cong :premises (@p260 @p221 @p208 @p195 @p181 @p167) :args (@t149)) % 0.53/0.73 (step @p262 :rule cong :premises (@p261 @p152) :args (@t150)) % 0.53/0.73 (step @p263 :rule cong :premises (@p262) :args (@t151)) % 0.53/0.73 (step @p264 :rule eq_resolve :premises (@p53 @p263)) % 0.53/0.73 (step @p265 :rule not_implies_elim2 :premises (@p264)) % 0.53/0.73 (step @p266 :rule skolemize :premises (@p265)) % 0.53/0.73 (step @p267 :rule bool-double-not-elim :args (@t220)) % 0.53/0.73 (step @p268 :rule refl :args (@t224)) % 0.53/0.73 (step @p269 :rule nary_cong :premises (@p268 @p267) :args ((or @t224 (not @t221)))) % 0.53/0.73 (step @p270 :rule cnf_or_neg :args (@t224 1)) % 0.53/0.73 (step @p271 :rule eq_resolve :premises (@p270 @p269)) % 0.53/0.73 (step @p272 :rule reordering :premises (@p271) :args ((or @t220 @t224))) % 0.53/0.73 (step @p273 :rule chain_m_resolution :premises (@p272 @p266) :args (@t220 @t225 @t226)) % 0.53/0.73 (step @p274 :rule bool-double-not-elim :args (@t222)) % 0.53/0.73 (step @p275 :rule nary_cong :premises (@p268 @p274) :args ((or @t224 (not @t223)))) % 0.53/0.73 (step @p276 :rule cnf_or_neg :args (@t224 0)) % 0.53/0.73 (step @p277 :rule eq_resolve :premises (@p276 @p275)) % 0.53/0.73 (step @p278 :rule reordering :premises (@p277) :args ((or @t222 @t224))) % 0.53/0.73 (step @p279 :rule chain_m_resolution :premises (@p278 @p266) :args (@t222 @t225 @t226)) % 0.53/0.73 (step @p280 :rule cnf_or_pos :args (@t227)) % 0.53/0.73 (step @p281 :rule reordering :premises (@p280) :args ((or @t223 @t221 @t171 (not @t227)))) % 0.53/0.73 (step @p282 :rule chain_m_resolution :premises (@p281 @p279 @p273 @p139) :args (@t171 @t228 (@list @t222 @t220 @t227))) % 0.53/0.73 (step @p283 :rule cnf_or_pos :args (@t176)) % 0.53/0.73 (step @p284 :rule reordering :premises (@p283) :args ((or @t172 @t170 @t175 (not @t176)))) % 0.53/0.73 (step @p285 :rule chain_m_resolution :premises (@p284 @p282 @p129 @p122) :args (@t175 @t228 (@list @t171 @t169 @t176))) % 0.53/0.73 (step @p286 :rule refl :args (tptp.n1)) % 0.53/0.73 (step @p287 :rule cong :premises (@p286 @p285) :args ((tptp.plus tptp.n1 tptp.n0))) % 0.53/0.73 (step @p288 :rule instantiate :premises (@p98) :args (@t229)) % 0.53/0.73 (step @p289 :rule cong :premises (@p28) :args (@t230)) % 0.53/0.73 (step @p290 :rule eq-symm :args (@t69 @t68)) % 0.53/0.73 (step @p291 :rule cong :premises (@p290) :args (@t70)) % 0.53/0.73 (step @p292 :rule eq_resolve :premises (@p32 @p291)) % 0.53/0.73 (step @p293 :rule instantiate :premises (@p292) :args (@t165)) % 0.53/0.73 (step @p294 :rule symm :premises (@p293)) % 0.53/0.73 (step @p295 :rule refl :args (tptp.n2)) % 0.53/0.73 (step @p296 :rule cong :premises (@p295 @p285) :args ((tptp.plus tptp.n2 tptp.n0))) % 0.53/0.73 (step @p297 :rule instantiate :premises (@p292) :args (@t229)) % 0.53/0.73 (step @p298 :rule cong :premises (@p289) :args (@t231)) % 0.53/0.73 (step @p299 :rule eq-symm :args (@t72 @t71)) % 0.53/0.73 (step @p300 :rule cong :premises (@p299) :args (@t73)) % 0.53/0.73 (step @p301 :rule eq_resolve :premises (@p34 @p300)) % 0.53/0.73 (step @p302 :rule instantiate :premises (@p301) :args (@t165)) % 0.53/0.73 (step @p303 :rule symm :premises (@p302)) % 0.53/0.73 (step @p304 :rule refl :args (tptp.n3)) % 0.53/0.73 (step @p305 :rule cong :premises (@p304 @p285) :args ((tptp.plus tptp.n3 tptp.n0))) % 0.53/0.73 (step @p306 :rule instantiate :premises (@p301) :args (@t229)) % 0.53/0.73 (step @p307 :rule cong :premises (@p298) :args ((tptp.succ @t231))) % 0.53/0.73 (step @p308 :rule eq-symm :args (@t75 @t74)) % 0.53/0.73 (step @p309 :rule cong :premises (@p308) :args (@t76)) % 0.53/0.73 (step @p310 :rule eq_resolve :premises (@p36 @p309)) % 0.53/0.73 (step @p311 :rule instantiate :premises (@p310) :args (@t165)) % 0.53/0.73 (step @p312 :rule symm :premises (@p311)) % 0.53/0.73 (step @p313 :rule refl :args (tptp.n4)) % 0.53/0.73 (step @p314 :rule cong :premises (@p313 @p285) :args ((tptp.plus tptp.n4 tptp.n0))) % 0.53/0.73 (step @p315 :rule instantiate :premises (@p310) :args (@t229)) % 0.53/0.73 (step @p316 :rule symm :premises (@p88)) % 0.53/0.73 (step @p317 :rule trans :premises (@p316 @p315 @p314 @p312 @p307 @p306 @p305 @p303 @p298 @p297 @p296 @p294 @p289 @p288 @p287 @p100 @p28)) % 0.53/0.73 (step @p318 :rule cong :premises (@p88 @p317) :args ((tptp.gt @t164 tptp.n4))) % 0.53/0.73 (step @p319 :rule cong :premises (@p316 @p313) :args ((tptp.gt tptp.n4 tptp.n4))) % 0.53/0.73 (step @p320 :rule instantiate :premises (@p3) :args ((@list tptp.n4))) % 0.53/0.73 (step @p321 :rule false_intro :premises (@p320)) % 0.53/0.73 (step @p322 :rule symm :premises (@p321)) % 0.53/0.73 (step @p323 :rule trans :premises (@p322 @p319 @p318 @p95)) % 0.53/0.73 (step @p324 false :rule eq_resolve :premises (@p323 @p94)) % 0.53/0.73 ) % 0.53/0.73 % SZS output end Proof % 0.53/0.73 % cvc5 exiting %------------------------------------------------------------------------------