%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV042+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 : n007.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 09:00:24 AM UTC 2026 % Result : Theorem 0.43s 0.66s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV042+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n007.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 19:52:56 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.43/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.43/0.66 % SZS status Theorem % 0.43/0.66 % SZS output start Proof % 0.43/0.66 ( % 0.43/0.66 (declare-sort $$unsorted 0) % 0.43/0.66 (declare-const tptp.simplex7_init $$unsorted) % 0.43/0.66 (declare-const tptp.s_center7_init $$unsorted) % 0.43/0.66 (declare-const tptp.loopcounter $$unsorted) % 0.43/0.66 (declare-const tptp.pvar1402_init $$unsorted) % 0.43/0.66 (declare-const tptp.def $$unsorted) % 0.43/0.66 (declare-const tptp.use $$unsorted) % 0.43/0.66 (declare-const tptp.true Bool) % 0.43/0.66 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.66 (declare-const tptp.pvar1401_init $$unsorted) % 0.43/0.66 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.66 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.43/0.66 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.66 (declare-const tptp.s_values7_init $$unsorted) % 0.43/0.66 (declare-const tptp.n3 $$unsorted) % 0.43/0.66 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.66 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.43/0.66 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.43/0.66 (declare-const tptp.n0 $$unsorted) % 0.43/0.66 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.66 (declare-const tptp.n1 $$unsorted) % 0.43/0.66 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.43/0.66 (declare-const tptp.n5 $$unsorted) % 0.43/0.66 (declare-const tptp.init $$unsorted) % 0.43/0.66 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.43/0.66 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.66 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.66 (declare-const tptp.pvar1400_init $$unsorted) % 0.43/0.66 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.66 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.43/0.66 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.43/0.66 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.43/0.66 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.66 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.43/0.66 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.66 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.66 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.66 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.66 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.66 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.43/0.66 (declare-const tptp.n4 $$unsorted) % 0.43/0.66 (declare-const tptp.n2 $$unsorted) % 0.43/0.66 (define @t1 () (@var "Y" $$unsorted)) % 0.43/0.66 (define @t2 () (@var "X" $$unsorted)) % 0.43/0.66 (define @t3 () (= @t2 @t1)) % 0.43/0.66 (define @t4 () (tptp.gt @t1 @t2)) % 0.43/0.66 (define @t5 () (tptp.gt @t2 @t1)) % 0.43/0.66 (define @t6 () (@list @t2 @t1)) % 0.43/0.66 (define @t7 () (@var "Z" $$unsorted)) % 0.43/0.66 (define @t8 () (@list @t2 @t1 @t7)) % 0.43/0.66 (define @t9 () (@list @t2)) % 0.43/0.66 (define @t10 () (tptp.leq @t2 @t1)) % 0.43/0.66 (define @t11 () (tptp.succ @t2)) % 0.43/0.66 (define @t12 () (tptp.succ @t1)) % 0.43/0.66 (define @t13 () (@var "C" $$unsorted)) % 0.43/0.66 (define @t14 () (tptp.uniform_int_rnd @t13 @t2)) % 0.43/0.66 (define @t15 () (tptp.leq tptp.n0 @t2)) % 0.43/0.66 (define @t16 () (@list @t2 @t13)) % 0.43/0.66 (define @t17 () (@var "Val" $$unsorted)) % 0.43/0.66 (define @t18 () (@var "I" $$unsorted)) % 0.43/0.66 (define @t19 () (@var "U" $$unsorted)) % 0.43/0.66 (define @t20 () (@var "L" $$unsorted)) % 0.43/0.66 (define @t21 () (tptp.leq @t18 @t19)) % 0.43/0.66 (define @t22 () (@var "J" $$unsorted)) % 0.43/0.66 (define @t23 () (@var "U2" $$unsorted)) % 0.43/0.66 (define @t24 () (@var "L2" $$unsorted)) % 0.43/0.66 (define @t25 () (@var "U1" $$unsorted)) % 0.43/0.66 (define @t26 () (@var "L1" $$unsorted)) % 0.43/0.66 (define @t27 () (@var "A" $$unsorted)) % 0.43/0.66 (define @t28 () (tptp.trans @t27)) % 0.43/0.66 (define @t29 () (@var "N" $$unsorted)) % 0.43/0.66 (define @t30 () (tptp.leq @t22 @t29)) % 0.43/0.66 (define @t31 () (tptp.leq tptp.n0 @t22)) % 0.43/0.66 (define @t32 () (tptp.leq @t18 @t29)) % 0.43/0.66 (define @t33 () (tptp.leq tptp.n0 @t18)) % 0.43/0.66 (define @t34 () (and @t33 @t32 @t31 @t30)) % 0.43/0.66 (define @t35 () (@list @t18 @t22)) % 0.43/0.66 (define @t36 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t27 @t18 @t22) (tptp.a_select3 @t27 @t22 @t18))))) % 0.43/0.66 (define @t37 () (@list @t27 @t29)) % 0.43/0.66 (define @t38 () (tptp.inv @t27)) % 0.43/0.66 (define @t39 () (@var "VAL" $$unsorted)) % 0.43/0.66 (define @t40 () (@var "K" $$unsorted)) % 0.43/0.66 (define @t41 () (tptp.tptp_update3 @t27 @t40 @t40 @t39)) % 0.43/0.66 (define @t42 () (@var "B" $$unsorted)) % 0.43/0.66 (define @t43 () (tptp.tptp_madd @t27 @t42)) % 0.43/0.66 (define @t44 () (= (tptp.a_select3 @t42 @t18 @t22) (tptp.a_select3 @t42 @t22 @t18))) % 0.43/0.66 (define @t45 () (forall @t35 (=> @t34 @t44))) % 0.43/0.66 (define @t46 () (and @t36 @t45)) % 0.43/0.66 (define @t47 () (@list @t27 @t42 @t29)) % 0.43/0.66 (define @t48 () (tptp.tptp_msub @t27 @t42)) % 0.43/0.66 (define @t49 () (tptp.tptp_mmul @t27 (tptp.tptp_mmul @t42 @t28))) % 0.43/0.66 (define @t50 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t49 @t18 @t22) (tptp.a_select3 @t49 @t22 @t18))))) % 0.43/0.66 (define @t51 () (@var "M" $$unsorted)) % 0.43/0.66 (define @t52 () (and @t33 (tptp.leq @t18 @t51) @t31 (tptp.leq @t22 @t51))) % 0.43/0.66 (define @t53 () (@var "E" $$unsorted)) % 0.43/0.66 (define @t54 () (@var "F" $$unsorted)) % 0.43/0.66 (define @t55 () (@var "D" $$unsorted)) % 0.43/0.66 (define @t56 () (tptp.tptp_madd @t27 (tptp.tptp_mmul @t42 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t13 (tptp.tptp_mmul @t55 (tptp.trans @t13))) (tptp.tptp_mmul @t53 (tptp.tptp_mmul @t54 (tptp.trans @t53)))) (tptp.trans @t42))))) % 0.43/0.66 (define @t57 () (@var "Body" $$unsorted)) % 0.43/0.66 (define @t58 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t57)) % 0.43/0.66 (define @t59 () (@list @t57)) % 0.43/0.66 (define @t60 () (tptp.plus tptp.n1 @t2)) % 0.43/0.66 (define @t61 () (forall @t9 (= @t60 @t11))) % 0.43/0.66 (define @t62 () (tptp.succ @t11)) % 0.43/0.66 (define @t63 () (tptp.succ @t62)) % 0.43/0.66 (define @t64 () (tptp.succ @t63)) % 0.43/0.66 (define @t65 () (tptp.succ @t64)) % 0.43/0.66 (define @t66 () (tptp.pred @t2)) % 0.43/0.66 (define @t67 () (tptp.pred @t11)) % 0.43/0.66 (define @t68 () (forall @t9 (= @t67 @t2))) % 0.43/0.66 (define @t69 () (@var "V" $$unsorted)) % 0.43/0.66 (define @t70 () (tptp.tptp_update3 @t2 @t19 @t69 @t39)) % 0.43/0.66 (define @t71 () (@var "VAL2" $$unsorted)) % 0.43/0.66 (define @t72 () (not (= @t18 @t19))) % 0.43/0.66 (define @t73 () (@var "J0" $$unsorted)) % 0.43/0.66 (define @t74 () (@var "I0" $$unsorted)) % 0.43/0.66 (define @t75 () (tptp.leq @t74 @t19)) % 0.43/0.66 (define @t76 () (tptp.leq tptp.n0 @t74)) % 0.43/0.66 (define @t77 () (tptp.tptp_update2 @t2 @t19 @t39)) % 0.43/0.66 (define @t78 () (and (= tptp.pvar1400_init tptp.init) (= tptp.pvar1401_init tptp.init) (= tptp.pvar1402_init tptp.init))) % 0.43/0.66 (define @t79 () (tptp.gt tptp.loopcounter tptp.n1)) % 0.43/0.66 (define @t80 () (=> @t79 @t78)) % 0.43/0.66 (define @t81 () (@var "H" $$unsorted)) % 0.43/0.66 (define @t82 () (tptp.a_select2 tptp.s_center7_init @t81)) % 0.43/0.66 (define @t83 () (tptp.leq @t81 tptp.n2)) % 0.43/0.66 (define @t84 () (tptp.leq tptp.n0 @t81)) % 0.43/0.66 (define @t85 () (and @t84 @t83)) % 0.43/0.66 (define @t86 () (=> @t85 (= @t82 tptp.init))) % 0.43/0.66 (define @t87 () (@list @t81)) % 0.43/0.66 (define @t88 () (forall @t87 @t86)) % 0.43/0.66 (define @t89 () (@var "G" $$unsorted)) % 0.43/0.66 (define @t90 () (tptp.a_select2 tptp.s_values7_init @t89)) % 0.43/0.66 (define @t91 () (tptp.leq @t89 tptp.n3)) % 0.43/0.66 (define @t92 () (tptp.leq tptp.n0 @t89)) % 0.43/0.66 (define @t93 () (and @t92 @t91)) % 0.43/0.66 (define @t94 () (=> @t93 (= @t90 tptp.init))) % 0.43/0.66 (define @t95 () (@list @t89)) % 0.43/0.66 (define @t96 () (forall @t95 @t94)) % 0.43/0.66 (define @t97 () (tptp.a_select3 tptp.simplex7_init @t54 @t53)) % 0.43/0.66 (define @t98 () (tptp.leq @t54 tptp.n3)) % 0.43/0.66 (define @t99 () (tptp.leq tptp.n0 @t54)) % 0.43/0.66 (define @t100 () (and @t99 @t98)) % 0.43/0.66 (define @t101 () (=> @t100 (= @t97 tptp.init))) % 0.43/0.66 (define @t102 () (@list @t54)) % 0.43/0.66 (define @t103 () (forall @t102 @t101)) % 0.43/0.66 (define @t104 () (tptp.leq @t53 tptp.n2)) % 0.43/0.66 (define @t105 () (tptp.leq tptp.n0 @t53)) % 0.43/0.66 (define @t106 () (and @t105 @t104)) % 0.43/0.66 (define @t107 () (=> @t106 @t103)) % 0.43/0.66 (define @t108 () (@list @t53)) % 0.43/0.66 (define @t109 () (forall @t108 @t107)) % 0.43/0.66 (define @t110 () (and @t109 @t96 @t88 @t80)) % 0.43/0.66 (define @t111 () (tptp.a_select2 tptp.s_center7_init @t55)) % 0.43/0.66 (define @t112 () (tptp.plus tptp.n1 tptp.n2)) % 0.43/0.66 (define @t113 () (tptp.minus @t112 tptp.n1)) % 0.43/0.66 (define @t114 () (tptp.leq @t55 @t113)) % 0.43/0.66 (define @t115 () (tptp.leq tptp.n0 @t55)) % 0.43/0.66 (define @t116 () (and @t115 @t114)) % 0.43/0.66 (define @t117 () (=> @t116 (= @t111 tptp.init))) % 0.43/0.66 (define @t118 () (@list @t55)) % 0.43/0.66 (define @t119 () (forall @t118 @t117)) % 0.43/0.66 (define @t120 () (tptp.a_select2 tptp.s_values7_init @t13)) % 0.43/0.66 (define @t121 () (tptp.leq @t13 tptp.n3)) % 0.43/0.66 (define @t122 () (tptp.leq tptp.n0 @t13)) % 0.43/0.66 (define @t123 () (and @t122 @t121)) % 0.43/0.66 (define @t124 () (=> @t123 (= @t120 tptp.init))) % 0.43/0.66 (define @t125 () (@list @t13)) % 0.43/0.66 (define @t126 () (forall @t125 @t124)) % 0.43/0.66 (define @t127 () (tptp.a_select3 tptp.simplex7_init @t42 @t27)) % 0.43/0.66 (define @t128 () (tptp.leq @t42 tptp.n3)) % 0.43/0.66 (define @t129 () (tptp.leq tptp.n0 @t42)) % 0.43/0.66 (define @t130 () (and @t129 @t128)) % 0.43/0.66 (define @t131 () (=> @t130 (= @t127 tptp.init))) % 0.43/0.66 (define @t132 () (@list @t42)) % 0.43/0.66 (define @t133 () (forall @t132 @t131)) % 0.43/0.66 (define @t134 () (tptp.leq @t27 tptp.n2)) % 0.43/0.66 (define @t135 () (tptp.leq tptp.n0 @t27)) % 0.43/0.66 (define @t136 () (and @t135 @t134)) % 0.43/0.66 (define @t137 () (=> @t136 @t133)) % 0.43/0.66 (define @t138 () (@list @t27)) % 0.43/0.66 (define @t139 () (forall @t138 @t137)) % 0.43/0.66 (define @t140 () (and @t139 @t126 @t119 @t80)) % 0.43/0.66 (define @t141 () (=> @t140 @t110)) % 0.43/0.66 (define @t142 () (not @t141)) % 0.43/0.66 (define @t143 () (= @t2 tptp.n4)) % 0.43/0.66 (define @t144 () (= @t2 tptp.n3)) % 0.43/0.66 (define @t145 () (= @t2 tptp.n2)) % 0.43/0.66 (define @t146 () (= @t2 tptp.n1)) % 0.43/0.66 (define @t147 () (= @t2 tptp.n0)) % 0.43/0.66 (define @t148 () (tptp.succ tptp.n0)) % 0.43/0.66 (define @t149 () (tptp.succ @t148)) % 0.43/0.66 (define @t150 () (tptp.succ @t149)) % 0.43/0.66 (define @t151 () (tptp.succ @t150)) % 0.43/0.66 (define @t152 () (= tptp.init @t82)) % 0.43/0.66 (define @t153 () (not @t83)) % 0.43/0.66 (define @t154 () (not @t84)) % 0.43/0.66 (define @t155 () (or @t154 @t153 @t152)) % 0.43/0.66 (define @t156 () (forall @t87 @t155)) % 0.43/0.66 (define @t157 () (@quantifiers_skolemize @t156 0)) % 0.43/0.66 (define @t158 () (tptp.leq tptp.n0 @t157)) % 0.43/0.66 (define @t159 () (= tptp.init (tptp.a_select2 tptp.s_center7_init @t157))) % 0.43/0.66 (define @t160 () (tptp.leq @t157 tptp.n2)) % 0.43/0.66 (define @t161 () (not @t160)) % 0.43/0.66 (define @t162 () (not @t158)) % 0.43/0.66 (define @t163 () (or @t162 @t161 @t159)) % 0.43/0.66 (define @t164 () (= tptp.init @t90)) % 0.43/0.66 (define @t165 () (not @t91)) % 0.43/0.66 (define @t166 () (not @t92)) % 0.43/0.66 (define @t167 () (or @t166 @t165 @t164)) % 0.43/0.66 (define @t168 () (@var "BOUND_VARIABLE_8480" $$unsorted)) % 0.43/0.66 (define @t169 () (= tptp.init (tptp.a_select3 tptp.simplex7_init @t168 @t53))) % 0.43/0.66 (define @t170 () (not (tptp.leq @t168 tptp.n3))) % 0.43/0.66 (define @t171 () (not (tptp.leq tptp.n0 @t168))) % 0.43/0.66 (define @t172 () (not @t104)) % 0.43/0.66 (define @t173 () (not @t105)) % 0.43/0.66 (define @t174 () (or @t173 @t172 @t171 @t170 @t169)) % 0.43/0.66 (define @t175 () (or @t171 @t170 @t169)) % 0.43/0.66 (define @t176 () (or @t173 @t172 @t175)) % 0.43/0.66 (define @t177 () (@list @t53 @t168)) % 0.43/0.66 (define @t178 () (forall @t177 @t176)) % 0.43/0.66 (define @t179 () (@list @t168)) % 0.43/0.66 (define @t180 () (forall @t179 @t176)) % 0.43/0.66 (define @t181 () (forall @t179 @t175)) % 0.43/0.66 (define @t182 () (or @t173 @t172 @t181)) % 0.43/0.66 (define @t183 () (= tptp.init @t97)) % 0.43/0.66 (define @t184 () (not @t98)) % 0.43/0.66 (define @t185 () (not @t99)) % 0.43/0.66 (define @t186 () (or @t185 @t184 @t183)) % 0.43/0.66 (define @t187 () (forall @t102 @t186)) % 0.43/0.66 (define @t188 () (or @t173 @t172 @t187)) % 0.43/0.66 (define @t189 () (= tptp.init @t111)) % 0.43/0.66 (define @t190 () (not @t114)) % 0.43/0.66 (define @t191 () (not @t115)) % 0.43/0.66 (define @t192 () (= tptp.init @t120)) % 0.43/0.66 (define @t193 () (not @t121)) % 0.43/0.66 (define @t194 () (not @t122)) % 0.43/0.66 (define @t195 () (or @t194 @t193 @t192)) % 0.43/0.66 (define @t196 () (@var "BOUND_VARIABLE_8425" $$unsorted)) % 0.43/0.66 (define @t197 () (= tptp.init (tptp.a_select3 tptp.simplex7_init @t196 @t27))) % 0.43/0.66 (define @t198 () (not (tptp.leq @t196 tptp.n3))) % 0.43/0.66 (define @t199 () (not (tptp.leq tptp.n0 @t196))) % 0.43/0.66 (define @t200 () (not @t134)) % 0.43/0.66 (define @t201 () (not @t135)) % 0.43/0.66 (define @t202 () (or @t201 @t200 @t199 @t198 @t197)) % 0.43/0.66 (define @t203 () (or @t199 @t198 @t197)) % 0.43/0.66 (define @t204 () (or @t201 @t200 @t203)) % 0.43/0.66 (define @t205 () (@list @t27 @t196)) % 0.43/0.66 (define @t206 () (forall @t205 @t204)) % 0.43/0.66 (define @t207 () (@list @t196)) % 0.43/0.66 (define @t208 () (forall @t207 @t204)) % 0.43/0.66 (define @t209 () (forall @t207 @t203)) % 0.43/0.66 (define @t210 () (or @t201 @t200 @t209)) % 0.43/0.66 (define @t211 () (= tptp.init @t127)) % 0.43/0.66 (define @t212 () (not @t128)) % 0.43/0.66 (define @t213 () (not @t129)) % 0.43/0.66 (define @t214 () (or @t213 @t212 @t211)) % 0.43/0.66 (define @t215 () (forall @t132 @t214)) % 0.43/0.66 (define @t216 () (or @t201 @t200 @t215)) % 0.43/0.66 (define @t217 () (tptp.leq @t157 @t113)) % 0.43/0.66 (define @t218 () (not @t217)) % 0.43/0.66 (define @t219 () (or @t162 @t218 @t159)) % 0.43/0.66 (define @t220 () (@list @t149)) % 0.43/0.66 (define @t221 () (= tptp.n2 @t149)) % 0.43/0.66 (define @t222 () (= @t150 (tptp.plus tptp.n1 @t149))) % 0.43/0.66 (define @t223 () (= @t149 (tptp.pred @t150))) % 0.43/0.66 (define @t224 () (tptp.pred @t112)) % 0.43/0.66 (define @t225 () (= @t113 @t224)) % 0.43/0.66 (define @t226 () (and @t221 @t160 @t222 @t223 @t225)) % 0.43/0.66 (define @t227 () (not @t163)) % 0.43/0.66 (define @t228 () (not @t156)) % 0.43/0.66 (define @t229 () (@list false)) % 0.43/0.66 (define @t230 () (forall @t125 @t195)) % 0.43/0.66 (define @t231 () (forall @t95 @t167)) % 0.43/0.66 (define @t232 () (forall @t205 @t202)) % 0.43/0.66 (define @t233 () (forall @t177 @t174)) % 0.43/0.66 (define @t234 () (and (= tptp.init tptp.pvar1400_init) (= tptp.init tptp.pvar1401_init) (= tptp.init tptp.pvar1402_init))) % 0.43/0.66 (define @t235 () (=> @t79 @t234)) % 0.43/0.66 (define @t236 () (@list true)) % 0.43/0.66 (define @t237 () (@list @t235)) % 0.43/0.66 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.43/0.66 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.43/0.66 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.43/0.66 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.43/0.66 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.43/0.66 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.43/0.66 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.43/0.66 (assume @p8 (forall @t6 (=> @t4 @t10))) % 0.43/0.66 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.43/0.66 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.43/0.66 (assume @p11 (forall @t9 (tptp.gt @t11 @t2))) % 0.43/0.66 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t12)))) % 0.43/0.66 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t12 @t2)))) % 0.43/0.66 (assume @p14 (forall @t16 (=> @t15 (tptp.leq @t14 @t2)))) % 0.43/0.66 (assume @p15 (forall @t16 (=> @t15 (tptp.leq tptp.n0 @t14)))) % 0.43/0.66 (assume @p16 (forall (@list @t18 @t20 @t19 @t17) (=> (and (tptp.leq @t20 @t18) @t21) (= (tptp.a_select2 (tptp.tptp_const_array1 (tptp.dim @t20 @t19) @t17) @t18) @t17)))) % 0.43/0.66 (assume @p17 (forall (@list @t18 @t26 @t25 @t22 @t24 @t23 @t17) (=> (and (tptp.leq @t26 @t18) (tptp.leq @t18 @t25) (tptp.leq @t24 @t22) (tptp.leq @t22 @t23)) (= (tptp.a_select3 (tptp.tptp_const_array2 (tptp.dim @t26 @t25) (tptp.dim @t24 @t23) @t17) @t18 @t22) @t17)))) % 0.43/0.66 (assume @p18 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t28 @t18 @t22) (tptp.a_select3 @t28 @t22 @t18))))))) % 0.43/0.66 (assume @p19 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t38 @t18 @t22) (tptp.a_select3 @t38 @t22 @t18))))))) % 0.43/0.66 (assume @p20 (forall @t37 (=> @t36 (forall (@list @t18 @t22 @t40 @t39) (=> (and @t33 @t32 @t31 @t30 (tptp.leq tptp.n0 @t40) (tptp.leq @t40 @t29)) (= (tptp.a_select3 @t41 @t18 @t22) (tptp.a_select3 @t41 @t22 @t18))))))) % 0.43/0.66 (assume @p21 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t43 @t18 @t22) (tptp.a_select3 @t43 @t22 @t18))))))) % 0.43/0.66 (assume @p22 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t48 @t18 @t22) (tptp.a_select3 @t48 @t22 @t18))))))) % 0.43/0.66 (assume @p23 (forall @t47 (=> @t45 @t50))) % 0.43/0.66 (assume @p24 (forall (@list @t27 @t42 @t29 @t51) (=> (forall @t35 (=> @t52 @t44)) @t50))) % 0.43/0.66 (assume @p25 (forall (@list @t27 @t42 @t13 @t55 @t53 @t54 @t29 @t51) (=> (and (forall @t35 (=> @t52 (= (tptp.a_select3 @t55 @t18 @t22) (tptp.a_select3 @t55 @t22 @t18)))) @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t54 @t18 @t22) (tptp.a_select3 @t54 @t22 @t18))))) (forall @t35 (=> @t34 (= (tptp.a_select3 @t56 @t18 @t22) (tptp.a_select3 @t56 @t22 @t18))))))) % 0.43/0.66 (assume @p26 (forall @t59 (= @t58 tptp.n0))) % 0.43/0.66 (assume @p27 (forall @t59 (= tptp.tptp_float_0_0 @t58))) % 0.43/0.66 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.43/0.66 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t11))) % 0.43/0.66 (assume @p30 @t61) % 0.43/0.66 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t62))) % 0.43/0.66 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t62))) % 0.43/0.66 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t63))) % 0.43/0.66 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t63))) % 0.43/0.66 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t64))) % 0.43/0.66 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t64))) % 0.43/0.66 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t65))) % 0.43/0.66 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t65))) % 0.43/0.66 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t66))) % 0.43/0.66 (assume @p40 @t68) % 0.43/0.66 (assume @p41 (forall @t9 (= (tptp.succ @t66) @t2))) % 0.43/0.66 (assume @p42 (forall @t6 (= (tptp.leq @t11 @t12) @t10))) % 0.43/0.66 (assume @p43 (forall @t6 (=> (tptp.leq @t11 @t1) @t4))) % 0.43/0.66 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.43/0.66 (assume @p45 (forall (@list @t2 @t19 @t69 @t39) (= (tptp.a_select3 @t70 @t19 @t69) @t39))) % 0.43/0.66 (assume @p46 (forall (@list @t18 @t22 @t19 @t69 @t2 @t39 @t71) (=> (and @t72 (= @t22 @t69) (= (tptp.a_select3 @t2 @t19 @t69) @t39)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t18 @t22 @t71) @t19 @t69) @t39)))) % 0.43/0.66 (assume @p47 (forall (@list @t18 @t22 @t19 @t69 @t2 @t39) (=> (and (forall (@list @t74 @t73) (=> (and @t76 (tptp.leq tptp.n0 @t73) @t75 (tptp.leq @t73 @t69)) (= (tptp.a_select3 @t2 @t74 @t73) @t39))) @t33 @t21 @t31 (tptp.leq @t22 @t69)) (= (tptp.a_select3 @t70 @t18 @t22) @t39)))) % 0.43/0.66 (assume @p48 (forall (@list @t2 @t19 @t39) (= (tptp.a_select2 @t77 @t19) @t39))) % 0.43/0.66 (assume @p49 (forall (@list @t18 @t19 @t2 @t39 @t71) (=> (and @t72 (= (tptp.a_select2 @t2 @t19) @t39)) (= (tptp.a_select2 (tptp.tptp_update2 @t2 @t18 @t71) @t19) @t39)))) % 0.43/0.66 (assume @p50 (forall (@list @t18 @t19 @t2 @t39) (=> (and (forall (@list @t74) (=> (and @t76 @t75) (= (tptp.a_select2 @t2 @t74) @t39))) @t33 @t21) (= (tptp.a_select2 @t77 @t18) @t39)))) % 0.43/0.66 (assume @p51 tptp.true) % 0.43/0.66 (assume @p52 (not (= tptp.def tptp.use))) % 0.43/0.66 (assume @p53 @t142) % 0.43/0.66 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.43/0.66 (assume @p55 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.43/0.66 (assume @p56 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.43/0.66 (assume @p57 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.43/0.66 (assume @p58 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.43/0.66 (assume @p59 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.43/0.66 (assume @p60 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.43/0.66 (assume @p61 (tptp.gt tptp.n4 tptp.n0)) % 0.43/0.66 (assume @p62 (tptp.gt tptp.n5 tptp.n0)) % 0.43/0.66 (assume @p63 (tptp.gt tptp.n1 tptp.n0)) % 0.43/0.66 (assume @p64 (tptp.gt tptp.n2 tptp.n0)) % 0.43/0.66 (assume @p65 (tptp.gt tptp.n3 tptp.n0)) % 0.43/0.66 (assume @p66 (tptp.gt tptp.n4 tptp.n1)) % 0.43/0.66 (assume @p67 (tptp.gt tptp.n5 tptp.n1)) % 0.43/0.66 (assume @p68 (tptp.gt tptp.n2 tptp.n1)) % 0.43/0.66 (assume @p69 (tptp.gt tptp.n3 tptp.n1)) % 0.43/0.66 (assume @p70 (tptp.gt tptp.n4 tptp.n2)) % 0.43/0.66 (assume @p71 (tptp.gt tptp.n5 tptp.n2)) % 0.43/0.66 (assume @p72 (tptp.gt tptp.n3 tptp.n2)) % 0.43/0.66 (assume @p73 (tptp.gt tptp.n4 tptp.n3)) % 0.43/0.66 (assume @p74 (tptp.gt tptp.n5 tptp.n3)) % 0.43/0.66 (assume @p75 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n4)) (or @t147 @t146 @t145 @t144 @t143)))) % 0.43/0.66 (assume @p76 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n5)) (or @t147 @t146 @t145 @t144 @t143 (= @t2 tptp.n5))))) % 0.43/0.66 (assume @p77 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n0)) @t147))) % 0.43/0.66 (assume @p78 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n1)) (or @t147 @t146)))) % 0.43/0.66 (assume @p79 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n2)) (or @t147 @t146 @t145)))) % 0.43/0.66 (assume @p80 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n3)) (or @t147 @t146 @t145 @t144)))) % 0.43/0.66 (assume @p81 (= @t151 tptp.n4)) % 0.43/0.66 (assume @p82 (= (tptp.succ @t151) tptp.n5)) % 0.43/0.66 (assume @p83 (= @t148 tptp.n1)) % 0.43/0.66 (assume @p84 (= @t149 tptp.n2)) % 0.43/0.66 (assume @p85 (= @t150 tptp.n3)) % 0.43/0.66 (assume @p86 true) % 0.43/0.66 (step @p87 :rule bool-double-not-elim :args (@t158)) % 0.43/0.66 (step @p88 :rule refl :args (@t163)) % 0.43/0.66 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or @t163 (not @t162)))) % 0.43/0.66 (step @p90 :rule cnf_or_neg :args (@t163 0)) % 0.43/0.66 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 0.43/0.66 (step @p92 :rule reordering :premises (@p91) :args ((or @t158 @t163))) % 0.43/0.66 (step @p93 :rule bool-double-not-elim :args (@t160)) % 0.43/0.66 (step @p94 :rule nary_cong :premises (@p88 @p93) :args ((or @t163 (not @t161)))) % 0.43/0.66 (step @p95 :rule cnf_or_neg :args (@t163 1)) % 0.43/0.66 (step @p96 :rule eq_resolve :premises (@p95 @p94)) % 0.43/0.66 (step @p97 :rule reordering :premises (@p96) :args ((or @t160 @t163))) % 0.43/0.66 (step @p98 :rule cnf_or_neg :args (@t163 2)) % 0.43/0.66 (step @p99 :rule eq-symm :args (tptp.pvar1402_init tptp.init)) % 0.43/0.66 (step @p100 :rule eq-symm :args (tptp.pvar1401_init tptp.init)) % 0.43/0.66 (step @p101 :rule eq-symm :args (tptp.pvar1400_init tptp.init)) % 0.43/0.66 (step @p102 :rule nary_cong :premises (@p101 @p100 @p99) :args (@t78)) % 0.43/0.66 (step @p103 :rule refl :args (@t79)) % 0.43/0.66 (step @p104 :rule cong :premises (@p103 @p102) :args (@t80)) % 0.43/0.66 (step @p105 :rule aci_norm :args ((= (or (or @t154 @t153) @t152) @t155))) % 0.43/0.66 (step @p106 :rule refl :args (@t152)) % 0.43/0.66 (step @p107 :rule bool-and-de-morgan :args (@t84 @t83 true)) % 0.43/0.66 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or (not @t85) @t152))) % 0.43/0.66 (step @p109 :rule trans :premises (@p108 @p105)) % 0.43/0.66 (step @p110 :rule bool-impl-elim :args (@t85 @t152)) % 0.43/0.66 (step @p111 :rule trans :premises (@p110 @p109)) % 0.43/0.66 (step @p112 :rule cong :premises (@p111) :args ((forall @t87 (=> @t85 @t152)))) % 0.43/0.66 (step @p113 :rule eq-symm :args (@t82 tptp.init)) % 0.43/0.66 (step @p114 :rule refl :args (@t85)) % 0.43/0.66 (step @p115 :rule cong :premises (@p114 @p113) :args (@t86)) % 0.43/0.66 (step @p116 :rule cong :premises (@p115) :args (@t88)) % 0.43/0.66 (step @p117 :rule trans :premises (@p116 @p112)) % 0.43/0.66 (step @p118 :rule aci_norm :args ((= (or (or @t166 @t165) @t164) @t167))) % 0.43/0.66 (step @p119 :rule refl :args (@t164)) % 0.43/0.66 (step @p120 :rule bool-and-de-morgan :args (@t92 @t91 true)) % 0.43/0.66 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or (not @t93) @t164))) % 0.43/0.66 (step @p122 :rule trans :premises (@p121 @p118)) % 0.43/0.66 (step @p123 :rule bool-impl-elim :args (@t93 @t164)) % 0.43/0.66 (step @p124 :rule trans :premises (@p123 @p122)) % 0.43/0.66 (step @p125 :rule cong :premises (@p124) :args ((forall @t95 (=> @t93 @t164)))) % 0.43/0.66 (step @p126 :rule eq-symm :args (@t90 tptp.init)) % 0.43/0.66 (step @p127 :rule refl :args (@t93)) % 0.43/0.66 (step @p128 :rule cong :premises (@p127 @p126) :args (@t94)) % 0.43/0.66 (step @p129 :rule cong :premises (@p128) :args (@t96)) % 0.43/0.66 (step @p130 :rule trans :premises (@p129 @p125)) % 0.43/0.66 (step @p131 :rule aci_norm :args ((= @t176 @t174))) % 0.43/0.66 (step @p132 :rule cong :premises (@p131) :args (@t178)) % 0.43/0.66 (step @p133 :rule quant-merge-prenex :args ((= (forall @t108 @t180) @t178))) % 0.43/0.66 (step @p134 :rule alpha_equiv :args (@t181 (@list @t168) (@list @t54))) % 0.43/0.66 (step @p135 :rule refl :args (@t172)) % 0.43/0.66 (step @p136 :rule refl :args (@t173)) % 0.43/0.66 (step @p137 :rule nary_cong :premises (@p136 @p135 @p134) :args (@t182)) % 0.43/0.66 (step @p138 :rule quant-miniscope-or :args ((= @t180 @t182))) % 0.43/0.66 (step @p139 :rule trans :premises (@p138 @p137)) % 0.43/0.66 (step @p140 :rule symm :premises (@p139)) % 0.43/0.66 (step @p141 :rule cong :premises (@p140) :args ((forall @t108 @t188))) % 0.43/0.66 (step @p142 :rule trans :premises (@p141 @p133)) % 0.43/0.66 (step @p143 :rule trans :premises (@p142 @p132)) % 0.43/0.66 (step @p144 :rule aci_norm :args ((= (or (or @t173 @t172) @t187) @t188))) % 0.43/0.66 (step @p145 :rule refl :args (@t187)) % 0.43/0.66 (step @p146 :rule bool-and-de-morgan :args (@t105 @t104 true)) % 0.43/0.66 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or (not @t106) @t187))) % 0.43/0.66 (step @p148 :rule trans :premises (@p147 @p144)) % 0.43/0.66 (step @p149 :rule bool-impl-elim :args (@t106 @t187)) % 0.43/0.66 (step @p150 :rule trans :premises (@p149 @p148)) % 0.43/0.66 (step @p151 :rule cong :premises (@p150) :args ((forall @t108 (=> @t106 @t187)))) % 0.43/0.66 (step @p152 :rule trans :premises (@p151 @p143)) % 0.43/0.66 (step @p153 :rule aci_norm :args ((= (or (or @t185 @t184) @t183) @t186))) % 0.43/0.66 (step @p154 :rule refl :args (@t183)) % 0.43/0.66 (step @p155 :rule bool-and-de-morgan :args (@t99 @t98 true)) % 0.43/0.66 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((or (not @t100) @t183))) % 0.43/0.66 (step @p157 :rule trans :premises (@p156 @p153)) % 0.43/0.66 (step @p158 :rule bool-impl-elim :args (@t100 @t183)) % 0.43/0.66 (step @p159 :rule trans :premises (@p158 @p157)) % 0.43/0.66 (step @p160 :rule cong :premises (@p159) :args ((forall @t102 (=> @t100 @t183)))) % 0.43/0.66 (step @p161 :rule eq-symm :args (@t97 tptp.init)) % 0.43/0.66 (step @p162 :rule refl :args (@t100)) % 0.43/0.66 (step @p163 :rule cong :premises (@p162 @p161) :args (@t101)) % 0.43/0.66 (step @p164 :rule cong :premises (@p163) :args (@t103)) % 0.43/0.66 (step @p165 :rule trans :premises (@p164 @p160)) % 0.43/0.66 (step @p166 :rule refl :args (@t106)) % 0.43/0.66 (step @p167 :rule cong :premises (@p166 @p165) :args (@t107)) % 0.43/0.66 (step @p168 :rule cong :premises (@p167) :args (@t109)) % 0.43/0.66 (step @p169 :rule trans :premises (@p168 @p152)) % 0.43/0.66 (step @p170 :rule nary_cong :premises (@p169 @p130 @p117 @p104) :args (@t110)) % 0.43/0.66 (step @p171 :rule aci_norm :args ((= (or (or @t191 @t190) @t189) (or @t191 @t190 @t189)))) % 0.43/0.66 (step @p172 :rule refl :args (@t189)) % 0.43/0.66 (step @p173 :rule bool-and-de-morgan :args (@t115 @t114 true)) % 0.43/0.66 (step @p174 :rule nary_cong :premises (@p173 @p172) :args ((or (not @t116) @t189))) % 0.43/0.66 (step @p175 :rule trans :premises (@p174 @p171)) % 0.43/0.66 (step @p176 :rule bool-impl-elim :args (@t116 @t189)) % 0.43/0.66 (step @p177 :rule trans :premises (@p176 @p175)) % 0.43/0.66 (step @p178 :rule cong :premises (@p177) :args ((forall @t118 (=> @t116 @t189)))) % 0.43/0.66 (step @p179 :rule eq-symm :args (@t111 tptp.init)) % 0.43/0.66 (step @p180 :rule refl :args (@t116)) % 0.43/0.66 (step @p181 :rule cong :premises (@p180 @p179) :args (@t117)) % 0.43/0.66 (step @p182 :rule cong :premises (@p181) :args (@t119)) % 0.43/0.66 (step @p183 :rule trans :premises (@p182 @p178)) % 0.43/0.66 (step @p184 :rule aci_norm :args ((= (or (or @t194 @t193) @t192) @t195))) % 0.43/0.66 (step @p185 :rule refl :args (@t192)) % 0.43/0.66 (step @p186 :rule bool-and-de-morgan :args (@t122 @t121 true)) % 0.43/0.66 (step @p187 :rule nary_cong :premises (@p186 @p185) :args ((or (not @t123) @t192))) % 0.43/0.66 (step @p188 :rule trans :premises (@p187 @p184)) % 0.43/0.66 (step @p189 :rule bool-impl-elim :args (@t123 @t192)) % 0.43/0.66 (step @p190 :rule trans :premises (@p189 @p188)) % 0.43/0.66 (step @p191 :rule cong :premises (@p190) :args ((forall @t125 (=> @t123 @t192)))) % 0.43/0.66 (step @p192 :rule eq-symm :args (@t120 tptp.init)) % 0.43/0.66 (step @p193 :rule refl :args (@t123)) % 0.43/0.66 (step @p194 :rule cong :premises (@p193 @p192) :args (@t124)) % 0.43/0.66 (step @p195 :rule cong :premises (@p194) :args (@t126)) % 0.43/0.66 (step @p196 :rule trans :premises (@p195 @p191)) % 0.43/0.66 (step @p197 :rule aci_norm :args ((= @t204 @t202))) % 0.43/0.66 (step @p198 :rule cong :premises (@p197) :args (@t206)) % 0.43/0.66 (step @p199 :rule quant-merge-prenex :args ((= (forall @t138 @t208) @t206))) % 0.43/0.66 (step @p200 :rule alpha_equiv :args (@t209 (@list @t196) (@list @t42))) % 0.43/0.66 (step @p201 :rule refl :args (@t200)) % 0.43/0.66 (step @p202 :rule refl :args (@t201)) % 0.43/0.66 (step @p203 :rule nary_cong :premises (@p202 @p201 @p200) :args (@t210)) % 0.43/0.66 (step @p204 :rule quant-miniscope-or :args ((= @t208 @t210))) % 0.43/0.66 (step @p205 :rule trans :premises (@p204 @p203)) % 0.43/0.66 (step @p206 :rule symm :premises (@p205)) % 0.43/0.66 (step @p207 :rule cong :premises (@p206) :args ((forall @t138 @t216))) % 0.43/0.66 (step @p208 :rule trans :premises (@p207 @p199)) % 0.43/0.66 (step @p209 :rule trans :premises (@p208 @p198)) % 0.43/0.66 (step @p210 :rule aci_norm :args ((= (or (or @t201 @t200) @t215) @t216))) % 0.43/0.66 (step @p211 :rule refl :args (@t215)) % 0.43/0.66 (step @p212 :rule bool-and-de-morgan :args (@t135 @t134 true)) % 0.43/0.66 (step @p213 :rule nary_cong :premises (@p212 @p211) :args ((or (not @t136) @t215))) % 0.43/0.66 (step @p214 :rule trans :premises (@p213 @p210)) % 0.43/0.66 (step @p215 :rule bool-impl-elim :args (@t136 @t215)) % 0.43/0.66 (step @p216 :rule trans :premises (@p215 @p214)) % 0.43/0.66 (step @p217 :rule cong :premises (@p216) :args ((forall @t138 (=> @t136 @t215)))) % 0.43/0.66 (step @p218 :rule trans :premises (@p217 @p209)) % 0.43/0.66 (step @p219 :rule aci_norm :args ((= (or (or @t213 @t212) @t211) @t214))) % 0.43/0.66 (step @p220 :rule refl :args (@t211)) % 0.43/0.66 (step @p221 :rule bool-and-de-morgan :args (@t129 @t128 true)) % 0.43/0.66 (step @p222 :rule nary_cong :premises (@p221 @p220) :args ((or (not @t130) @t211))) % 0.43/0.66 (step @p223 :rule trans :premises (@p222 @p219)) % 0.43/0.66 (step @p224 :rule bool-impl-elim :args (@t130 @t211)) % 0.43/0.66 (step @p225 :rule trans :premises (@p224 @p223)) % 0.43/0.66 (step @p226 :rule cong :premises (@p225) :args ((forall @t132 (=> @t130 @t211)))) % 0.43/0.66 (step @p227 :rule eq-symm :args (@t127 tptp.init)) % 0.43/0.66 (step @p228 :rule refl :args (@t130)) % 0.43/0.66 (step @p229 :rule cong :premises (@p228 @p227) :args (@t131)) % 0.43/0.66 (step @p230 :rule cong :premises (@p229) :args (@t133)) % 0.43/0.66 (step @p231 :rule trans :premises (@p230 @p226)) % 0.43/0.66 (step @p232 :rule refl :args (@t136)) % 0.43/0.66 (step @p233 :rule cong :premises (@p232 @p231) :args (@t137)) % 0.43/0.66 (step @p234 :rule cong :premises (@p233) :args (@t139)) % 0.43/0.66 (step @p235 :rule trans :premises (@p234 @p218)) % 0.43/0.66 (step @p236 :rule nary_cong :premises (@p235 @p196 @p183 @p104) :args (@t140)) % 0.43/0.66 (step @p237 :rule cong :premises (@p236 @p170) :args (@t141)) % 0.43/0.66 (step @p238 :rule cong :premises (@p237) :args (@t142)) % 0.43/0.66 (step @p239 :rule eq_resolve :premises (@p53 @p238)) % 0.43/0.66 (step @p240 :rule not_implies_elim1 :premises (@p239)) % 0.43/0.66 (step @p241 :rule and_elim :premises (@p240) :args (2)) % 0.43/0.66 (step @p242 :rule instantiate :premises (@p241) :args ((@list @t157))) % 0.43/0.66 (step @p243 :rule cnf_or_pos :args (@t219)) % 0.43/0.66 (step @p244 :rule reordering :premises (@p243) :args ((or @t162 @t159 @t218 (not @t219)))) % 0.43/0.66 (step @p245 :rule symm :premises (@p84)) % 0.43/0.66 (step @p246 :rule eq-symm :args (@t60 @t11)) % 0.43/0.66 (step @p247 :rule cong :premises (@p246) :args (@t61)) % 0.43/0.66 (step @p248 :rule eq_resolve :premises (@p30 @p247)) % 0.43/0.66 (step @p249 :rule instantiate :premises (@p248) :args (@t220)) % 0.43/0.66 (step @p250 :rule eq-symm :args (@t67 @t2)) % 0.43/0.66 (step @p251 :rule cong :premises (@p250) :args (@t68)) % 0.43/0.66 (step @p252 :rule eq_resolve :premises (@p40 @p251)) % 0.43/0.66 (step @p253 :rule instantiate :premises (@p252) :args (@t220)) % 0.43/0.66 (step @p254 :rule instantiate :premises (@p39) :args ((@list @t112))) % 0.43/0.66 (assume-push @p328 @t221) % 0.43/0.66 (assume-push @p329 @t160) % 0.43/0.66 (assume-push @p330 @t222) % 0.43/0.66 (assume-push @p331 @t223) % 0.43/0.66 (assume-push @p332 @t225) % 0.43/0.66 (assume-push @p333 @t160) % 0.43/0.66 (assume-push @p334 @t221) % 0.43/0.66 (assume-push @p335 @t223) % 0.43/0.66 (assume-push @p336 @t222) % 0.43/0.66 (assume-push @p337 @t225) % 0.43/0.66 (step @p265 :rule true_intro :premises (@p329)) % 0.43/0.66 (step @p266 :rule symm :premises (@p253)) % 0.43/0.66 (step @p267 :rule symm :premises (@p249)) % 0.43/0.66 (step @p268 :rule refl :args (tptp.n1)) % 0.43/0.66 (step @p269 :rule cong :premises (@p268 @p245) :args (@t112)) % 0.43/0.66 (step @p270 :rule trans :premises (@p269 @p267)) % 0.43/0.66 (step @p271 :rule cong :premises (@p270) :args (@t224)) % 0.43/0.66 (step @p272 :rule trans :premises (@p254 @p271 @p266 @p84)) % 0.43/0.66 (step @p273 :rule refl :args (@t157)) % 0.43/0.66 (step @p274 :rule cong :premises (@p273 @p272) :args (@t217)) % 0.43/0.66 (step @p275 :rule trans :premises (@p274 @p265)) % 0.43/0.66 (step @p276 :rule true_elim :premises (@p275)) % 0.43/0.66 (step-pop @p338 :rule scope :premises (@p276)) % 0.43/0.66 (step-pop @p339 :rule scope :premises (@p338)) % 0.43/0.66 (step-pop @p340 :rule scope :premises (@p339)) % 0.43/0.66 (step-pop @p341 :rule scope :premises (@p340)) % 0.43/0.66 (step-pop @p342 :rule scope :premises (@p341)) % 0.43/0.66 (step @p277 :rule process_scope :premises (@p342) :args (@t217)) % 0.43/0.66 (step @p283 :rule and_intro :premises (@p329 @p245 @p253 @p249 @p254)) % 0.43/0.66 (step @p284 :rule modus_ponens :premises (@p283 @p277)) % 0.43/0.66 (step-pop @p343 :rule scope :premises (@p284)) % 0.43/0.66 (step-pop @p344 :rule scope :premises (@p343)) % 0.43/0.66 (step-pop @p345 :rule scope :premises (@p344)) % 0.43/0.66 (step-pop @p346 :rule scope :premises (@p345)) % 0.43/0.66 (step-pop @p347 :rule scope :premises (@p346)) % 0.43/0.66 (step @p285 :rule process_scope :premises (@p347) :args (@t217)) % 0.43/0.66 (step @p291 :rule implies_elim :premises (@p285)) % 0.43/0.66 (step @p292 :rule cnf_and_neg :args (@t226)) % 0.43/0.66 (step @p293 :rule resolution :premises (@p292 @p291) :args (true @t226)) % 0.43/0.66 (step @p294 :rule reordering :premises (@p293) :args ((or (not @t221) @t161 @t217 (not @t222) (not @t223) (not @t225)))) % 0.43/0.66 (step @p295 :rule chain_m_resolution :premises (@p294 @p254 @p253 @p249 @p245 @p244 @p242 @p98 @p97 @p92) :args (@t163 (@list false false false false true false true false false) (@list @t225 @t223 @t222 @t221 @t217 @t219 @t159 @t160 @t158))) % 0.43/0.66 (step @p296 :rule refl :args (@t227)) % 0.43/0.66 (step @p297 :rule bool-double-not-elim :args (@t156)) % 0.43/0.66 (step @p298 :rule nary_cong :premises (@p297 @p296) :args ((or (not @t228) @t227))) % 0.43/0.66 (assume-push @p348 @t228) % 0.43/0.66 (step @p300 :rule skolemize :premises (@p348)) % 0.43/0.66 (step-pop @p349 :rule scope :premises (@p300)) % 0.43/0.66 (step @p301 :rule process_scope :premises (@p349) :args (@t227)) % 0.43/0.66 (step @p303 :rule implies_elim :premises (@p301)) % 0.43/0.66 (step @p304 :rule eq_resolve :premises (@p303 @p298)) % 0.43/0.66 (step @p305 :rule chain_m_resolution :premises (@p304 @p295) :args (@t156 @t229 (@list @t163))) % 0.43/0.66 (step @p306 :rule and_elim :premises (@p240) :args (1)) % 0.43/0.66 (step @p307 :rule alpha_equiv :args (@t230 (@list @t13) (@list @t89))) % 0.43/0.66 (step @p308 :rule equiv_elim1 :premises (@p307)) % 0.43/0.66 (step @p309 :rule reordering :premises (@p308) :args ((or @t231 (not @t230)))) % 0.43/0.66 (step @p310 :rule chain_m_resolution :premises (@p309 @p306) :args (@t231 @t229 (@list @t230))) % 0.43/0.66 (step @p311 :rule and_elim :premises (@p240) :args (0)) % 0.43/0.66 (step @p312 :rule alpha_equiv :args (@t232 (@list @t196 @t27) (@list @t168 @t53))) % 0.43/0.66 (step @p313 :rule equiv_elim1 :premises (@p312)) % 0.43/0.66 (step @p314 :rule reordering :premises (@p313) :args ((or @t233 (not @t232)))) % 0.43/0.66 (step @p315 :rule chain_m_resolution :premises (@p314 @p311) :args (@t233 @t229 (@list @t232))) % 0.43/0.66 (step @p316 :rule not_implies_elim2 :premises (@p239)) % 0.43/0.66 (step @p317 :rule not_and :premises (@p316)) % 0.43/0.66 (step @p318 :rule chain_m_resolution :premises (@p317 @p315 @p310 @p305) :args ((not @t235) (@list false false false) (@list @t233 @t231 @t156))) % 0.43/0.66 (step @p319 :rule cnf_implies_neg1 :args (@t235)) % 0.43/0.66 (step @p320 :rule reordering :premises (@p319) :args ((or @t79 @t235))) % 0.43/0.66 (step @p321 :rule chain_m_resolution :premises (@p320 @p318) :args (@t79 @t236 @t237)) % 0.43/0.66 (step @p322 :rule cnf_implies_neg2 :args (@t235)) % 0.43/0.66 (step @p323 :rule chain_m_resolution :premises (@p322 @p318) :args ((not @t234) @t236 @t237)) % 0.43/0.66 (step @p324 :rule and_elim :premises (@p240) :args (3)) % 0.43/0.66 (step @p325 :rule implies_elim :premises (@p324)) % 0.43/0.66 (step @p326 :rule reordering :premises (@p325) :args ((or @t234 (not @t79)))) % 0.43/0.66 (step @p327 false :rule chain_m_resolution :premises (@p326 @p323 @p321) :args (false (@list true false) (@list @t234 @t79))) % 0.43/0.66 ) % 0.43/0.66 % SZS output end Proof % 0.43/0.67 % cvc5 exiting %------------------------------------------------------------------------------