%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV028+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 : n008.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 09:00:22 AM UTC 2026 % Result : Theorem 0.45s 0.63s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV028+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 % 0.18/0.34 % Computer : n008.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 19:53:33 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.63 % SZS status Theorem % 0.45/0.63 % SZS output start Proof % 0.45/0.63 ( % 0.45/0.63 (declare-sort $$unsorted 0) % 0.45/0.63 (declare-const tptp.pv19 $$unsorted) % 0.45/0.63 (declare-const tptp.n410 $$unsorted) % 0.45/0.63 (declare-const tptp.s_worst7_init $$unsorted) % 0.45/0.63 (declare-const tptp.s_best7 $$unsorted) % 0.45/0.63 (declare-const tptp.pv1376 $$unsorted) % 0.45/0.63 (declare-const tptp.s_center7_init $$unsorted) % 0.45/0.63 (declare-const tptp.s_try7_init $$unsorted) % 0.45/0.63 (declare-const tptp.pvar1400_init $$unsorted) % 0.45/0.63 (declare-const tptp.pvar1401_init $$unsorted) % 0.45/0.63 (declare-const tptp.init $$unsorted) % 0.45/0.63 (declare-const tptp.def $$unsorted) % 0.45/0.63 (declare-const tptp.use $$unsorted) % 0.45/0.63 (declare-const tptp.true Bool) % 0.45/0.63 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.s_worst7 $$unsorted) % 0.45/0.63 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.s_values7_init $$unsorted) % 0.45/0.63 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.s_sworst7_init $$unsorted) % 0.45/0.63 (declare-const tptp.n3 $$unsorted) % 0.45/0.63 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.pvar1402_init $$unsorted) % 0.45/0.63 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.45/0.63 (declare-const tptp.n0 $$unsorted) % 0.45/0.63 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.n1 $$unsorted) % 0.45/0.63 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.n5 $$unsorted) % 0.45/0.63 (declare-const tptp.s_best7_init $$unsorted) % 0.45/0.63 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.s_sworst7 $$unsorted) % 0.45/0.63 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.loopcounter $$unsorted) % 0.45/0.63 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.45/0.63 (declare-const tptp.simplex7_init $$unsorted) % 0.45/0.63 (declare-const tptp.n4 $$unsorted) % 0.45/0.63 (declare-const tptp.n2 $$unsorted) % 0.45/0.63 (define @t1 () (@var "Y" $$unsorted)) % 0.45/0.63 (define @t2 () (@var "X" $$unsorted)) % 0.45/0.63 (define @t3 () (= @t2 @t1)) % 0.45/0.63 (define @t4 () (tptp.gt @t1 @t2)) % 0.45/0.63 (define @t5 () (tptp.gt @t2 @t1)) % 0.45/0.63 (define @t6 () (@list @t2 @t1)) % 0.45/0.63 (define @t7 () (@var "Z" $$unsorted)) % 0.45/0.63 (define @t8 () (@list @t2 @t1 @t7)) % 0.45/0.63 (define @t9 () (@list @t2)) % 0.45/0.63 (define @t10 () (tptp.leq @t2 @t1)) % 0.45/0.63 (define @t11 () (tptp.succ @t2)) % 0.45/0.63 (define @t12 () (tptp.succ @t1)) % 0.45/0.63 (define @t13 () (@var "C" $$unsorted)) % 0.45/0.63 (define @t14 () (tptp.uniform_int_rnd @t13 @t2)) % 0.45/0.63 (define @t15 () (tptp.leq tptp.n0 @t2)) % 0.45/0.63 (define @t16 () (@list @t2 @t13)) % 0.45/0.63 (define @t17 () (@var "Val" $$unsorted)) % 0.45/0.63 (define @t18 () (@var "I" $$unsorted)) % 0.45/0.63 (define @t19 () (@var "U" $$unsorted)) % 0.45/0.63 (define @t20 () (@var "L" $$unsorted)) % 0.45/0.63 (define @t21 () (tptp.leq @t18 @t19)) % 0.45/0.63 (define @t22 () (@var "J" $$unsorted)) % 0.45/0.63 (define @t23 () (@var "U2" $$unsorted)) % 0.45/0.63 (define @t24 () (@var "L2" $$unsorted)) % 0.45/0.63 (define @t25 () (@var "U1" $$unsorted)) % 0.45/0.63 (define @t26 () (@var "L1" $$unsorted)) % 0.45/0.63 (define @t27 () (@var "A" $$unsorted)) % 0.45/0.63 (define @t28 () (tptp.trans @t27)) % 0.45/0.63 (define @t29 () (@var "N" $$unsorted)) % 0.45/0.63 (define @t30 () (tptp.leq @t22 @t29)) % 0.45/0.63 (define @t31 () (tptp.leq tptp.n0 @t22)) % 0.45/0.63 (define @t32 () (tptp.leq @t18 @t29)) % 0.45/0.63 (define @t33 () (tptp.leq tptp.n0 @t18)) % 0.45/0.63 (define @t34 () (and @t33 @t32 @t31 @t30)) % 0.45/0.63 (define @t35 () (@list @t18 @t22)) % 0.45/0.63 (define @t36 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t27 @t18 @t22) (tptp.a_select3 @t27 @t22 @t18))))) % 0.45/0.63 (define @t37 () (@list @t27 @t29)) % 0.45/0.63 (define @t38 () (tptp.inv @t27)) % 0.45/0.63 (define @t39 () (@var "VAL" $$unsorted)) % 0.45/0.63 (define @t40 () (@var "K" $$unsorted)) % 0.45/0.63 (define @t41 () (tptp.tptp_update3 @t27 @t40 @t40 @t39)) % 0.45/0.63 (define @t42 () (@var "B" $$unsorted)) % 0.45/0.63 (define @t43 () (tptp.tptp_madd @t27 @t42)) % 0.45/0.63 (define @t44 () (= (tptp.a_select3 @t42 @t18 @t22) (tptp.a_select3 @t42 @t22 @t18))) % 0.45/0.63 (define @t45 () (forall @t35 (=> @t34 @t44))) % 0.45/0.63 (define @t46 () (and @t36 @t45)) % 0.45/0.63 (define @t47 () (@list @t27 @t42 @t29)) % 0.45/0.63 (define @t48 () (tptp.tptp_msub @t27 @t42)) % 0.45/0.63 (define @t49 () (tptp.tptp_mmul @t27 (tptp.tptp_mmul @t42 @t28))) % 0.45/0.63 (define @t50 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t49 @t18 @t22) (tptp.a_select3 @t49 @t22 @t18))))) % 0.45/0.63 (define @t51 () (@var "M" $$unsorted)) % 0.45/0.63 (define @t52 () (and @t33 (tptp.leq @t18 @t51) @t31 (tptp.leq @t22 @t51))) % 0.45/0.63 (define @t53 () (@var "E" $$unsorted)) % 0.45/0.63 (define @t54 () (@var "F" $$unsorted)) % 0.45/0.63 (define @t55 () (@var "D" $$unsorted)) % 0.45/0.63 (define @t56 () (tptp.tptp_madd @t27 (tptp.tptp_mmul @t42 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t13 (tptp.tptp_mmul @t55 (tptp.trans @t13))) (tptp.tptp_mmul @t53 (tptp.tptp_mmul @t54 (tptp.trans @t53)))) (tptp.trans @t42))))) % 0.45/0.63 (define @t57 () (@var "Body" $$unsorted)) % 0.45/0.63 (define @t58 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t57)) % 0.45/0.63 (define @t59 () (@list @t57)) % 0.45/0.63 (define @t60 () (tptp.succ @t11)) % 0.45/0.63 (define @t61 () (tptp.succ @t60)) % 0.45/0.63 (define @t62 () (tptp.succ @t61)) % 0.45/0.63 (define @t63 () (tptp.succ @t62)) % 0.45/0.63 (define @t64 () (tptp.pred @t2)) % 0.45/0.63 (define @t65 () (@var "V" $$unsorted)) % 0.45/0.63 (define @t66 () (tptp.tptp_update3 @t2 @t19 @t65 @t39)) % 0.45/0.63 (define @t67 () (@var "VAL2" $$unsorted)) % 0.45/0.63 (define @t68 () (not (= @t18 @t19))) % 0.45/0.63 (define @t69 () (@var "J0" $$unsorted)) % 0.45/0.63 (define @t70 () (@var "I0" $$unsorted)) % 0.45/0.63 (define @t71 () (tptp.leq @t70 @t19)) % 0.45/0.63 (define @t72 () (tptp.leq tptp.n0 @t70)) % 0.45/0.63 (define @t73 () (tptp.tptp_update2 @t2 @t19 @t39)) % 0.45/0.63 (define @t74 () (and (= tptp.pvar1400_init tptp.init) (= tptp.pvar1401_init tptp.init) (= tptp.pvar1402_init tptp.init))) % 0.45/0.63 (define @t75 () (tptp.gt tptp.loopcounter tptp.n1)) % 0.45/0.63 (define @t76 () (=> @t75 @t74)) % 0.45/0.63 (define @t77 () (tptp.a_select2 tptp.s_try7_init @t22)) % 0.45/0.63 (define @t78 () (tptp.minus tptp.n3 tptp.n1)) % 0.45/0.63 (define @t79 () (tptp.leq @t22 @t78)) % 0.45/0.63 (define @t80 () (and @t31 @t79)) % 0.45/0.63 (define @t81 () (=> @t80 (= @t77 tptp.init))) % 0.45/0.63 (define @t82 () (@list @t22)) % 0.45/0.63 (define @t83 () (forall @t82 @t81)) % 0.45/0.63 (define @t84 () (tptp.a_select2 tptp.s_center7_init @t18)) % 0.45/0.63 (define @t85 () (tptp.leq @t18 tptp.n2)) % 0.45/0.63 (define @t86 () (and @t33 @t85)) % 0.45/0.63 (define @t87 () (=> @t86 (= @t84 tptp.init))) % 0.45/0.63 (define @t88 () (@list @t18)) % 0.45/0.63 (define @t89 () (forall @t88 @t87)) % 0.45/0.63 (define @t90 () (@var "H" $$unsorted)) % 0.45/0.63 (define @t91 () (tptp.a_select2 tptp.s_values7_init @t90)) % 0.45/0.63 (define @t92 () (tptp.leq @t90 tptp.n3)) % 0.45/0.63 (define @t93 () (tptp.leq tptp.n0 @t90)) % 0.45/0.63 (define @t94 () (and @t93 @t92)) % 0.45/0.63 (define @t95 () (=> @t94 (= @t91 tptp.init))) % 0.45/0.63 (define @t96 () (@list @t90)) % 0.45/0.63 (define @t97 () (forall @t96 @t95)) % 0.45/0.63 (define @t98 () (@var "G" $$unsorted)) % 0.45/0.63 (define @t99 () (tptp.a_select3 tptp.simplex7_init @t98 @t54)) % 0.45/0.63 (define @t100 () (tptp.leq @t98 tptp.n3)) % 0.45/0.63 (define @t101 () (tptp.leq tptp.n0 @t98)) % 0.45/0.63 (define @t102 () (and @t101 @t100)) % 0.45/0.63 (define @t103 () (=> @t102 (= @t99 tptp.init))) % 0.45/0.63 (define @t104 () (@list @t98)) % 0.45/0.63 (define @t105 () (forall @t104 @t103)) % 0.45/0.63 (define @t106 () (tptp.leq @t54 tptp.n2)) % 0.45/0.63 (define @t107 () (tptp.leq tptp.n0 @t54)) % 0.45/0.63 (define @t108 () (and @t107 @t106)) % 0.45/0.63 (define @t109 () (=> @t108 @t105)) % 0.45/0.63 (define @t110 () (@list @t54)) % 0.45/0.63 (define @t111 () (forall @t110 @t109)) % 0.45/0.63 (define @t112 () (tptp.leq tptp.pv1376 tptp.n3)) % 0.45/0.63 (define @t113 () (tptp.leq tptp.s_worst7 tptp.n3)) % 0.45/0.63 (define @t114 () (tptp.leq tptp.s_sworst7 tptp.n3)) % 0.45/0.63 (define @t115 () (tptp.leq tptp.s_best7 tptp.n3)) % 0.45/0.63 (define @t116 () (tptp.leq tptp.n0 tptp.pv1376)) % 0.45/0.63 (define @t117 () (tptp.leq tptp.n0 tptp.s_worst7)) % 0.45/0.63 (define @t118 () (tptp.leq tptp.n0 tptp.s_sworst7)) % 0.45/0.63 (define @t119 () (tptp.leq tptp.n0 tptp.s_best7)) % 0.45/0.63 (define @t120 () (= tptp.s_worst7_init tptp.init)) % 0.45/0.63 (define @t121 () (= tptp.s_sworst7_init tptp.init)) % 0.45/0.63 (define @t122 () (= tptp.s_best7_init tptp.init)) % 0.45/0.63 (define @t123 () (= tptp.init tptp.init)) % 0.45/0.63 (define @t124 () (and @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t114 @t113 @t112 @t111 @t97 @t89 @t83 @t76)) % 0.45/0.63 (define @t125 () (tptp.a_select2 tptp.s_try7_init @t53)) % 0.45/0.63 (define @t126 () (tptp.leq @t53 @t78)) % 0.45/0.63 (define @t127 () (tptp.leq tptp.n0 @t53)) % 0.45/0.63 (define @t128 () (and @t127 @t126)) % 0.45/0.63 (define @t129 () (=> @t128 (= @t125 tptp.init))) % 0.45/0.63 (define @t130 () (@list @t53)) % 0.45/0.63 (define @t131 () (forall @t130 @t129)) % 0.45/0.63 (define @t132 () (tptp.a_select2 tptp.s_center7_init @t55)) % 0.45/0.63 (define @t133 () (tptp.leq @t55 tptp.n2)) % 0.45/0.63 (define @t134 () (tptp.leq tptp.n0 @t55)) % 0.45/0.63 (define @t135 () (and @t134 @t133)) % 0.45/0.63 (define @t136 () (=> @t135 (= @t132 tptp.init))) % 0.45/0.63 (define @t137 () (@list @t55)) % 0.45/0.63 (define @t138 () (forall @t137 @t136)) % 0.45/0.63 (define @t139 () (tptp.a_select2 tptp.s_values7_init @t13)) % 0.45/0.63 (define @t140 () (tptp.leq @t13 tptp.n3)) % 0.45/0.63 (define @t141 () (tptp.leq tptp.n0 @t13)) % 0.45/0.63 (define @t142 () (and @t141 @t140)) % 0.45/0.63 (define @t143 () (=> @t142 (= @t139 tptp.init))) % 0.45/0.63 (define @t144 () (@list @t13)) % 0.45/0.63 (define @t145 () (forall @t144 @t143)) % 0.45/0.63 (define @t146 () (tptp.a_select3 tptp.simplex7_init @t42 @t27)) % 0.45/0.63 (define @t147 () (tptp.leq @t42 tptp.n3)) % 0.45/0.63 (define @t148 () (tptp.leq tptp.n0 @t42)) % 0.45/0.63 (define @t149 () (and @t148 @t147)) % 0.45/0.63 (define @t150 () (=> @t149 (= @t146 tptp.init))) % 0.45/0.63 (define @t151 () (@list @t42)) % 0.45/0.63 (define @t152 () (forall @t151 @t150)) % 0.45/0.63 (define @t153 () (tptp.leq @t27 tptp.n2)) % 0.45/0.63 (define @t154 () (tptp.leq tptp.n0 @t27)) % 0.45/0.63 (define @t155 () (and @t154 @t153)) % 0.45/0.63 (define @t156 () (=> @t155 @t152)) % 0.45/0.63 (define @t157 () (@list @t27)) % 0.45/0.63 (define @t158 () (forall @t157 @t156)) % 0.45/0.63 (define @t159 () (tptp.leq tptp.pv19 (tptp.minus tptp.n410 tptp.n1))) % 0.45/0.63 (define @t160 () (tptp.leq tptp.n0 tptp.pv19)) % 0.45/0.63 (define @t161 () (and @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t160 @t116 @t115 @t114 @t113 @t159 @t112 @t158 @t145 @t138 @t131 @t76)) % 0.45/0.63 (define @t162 () (=> @t161 @t124)) % 0.45/0.63 (define @t163 () (not @t162)) % 0.45/0.63 (define @t164 () (= @t2 tptp.n4)) % 0.45/0.63 (define @t165 () (= @t2 tptp.n3)) % 0.45/0.63 (define @t166 () (= @t2 tptp.n2)) % 0.45/0.63 (define @t167 () (= @t2 tptp.n1)) % 0.45/0.63 (define @t168 () (= @t2 tptp.n0)) % 0.45/0.63 (define @t169 () (tptp.succ tptp.n0)) % 0.45/0.63 (define @t170 () (tptp.succ @t169)) % 0.45/0.63 (define @t171 () (tptp.succ @t170)) % 0.45/0.63 (define @t172 () (tptp.succ @t171)) % 0.45/0.63 (define @t173 () (and (= tptp.init tptp.pvar1400_init) (= tptp.init tptp.pvar1401_init) (= tptp.init tptp.pvar1402_init))) % 0.45/0.63 (define @t174 () (=> @t75 @t173)) % 0.45/0.63 (define @t175 () (= tptp.init @t77)) % 0.45/0.63 (define @t176 () (not @t79)) % 0.45/0.63 (define @t177 () (not @t31)) % 0.45/0.63 (define @t178 () (or @t177 @t176 @t175)) % 0.45/0.63 (define @t179 () (forall @t82 @t178)) % 0.45/0.63 (define @t180 () (= tptp.init @t84)) % 0.45/0.63 (define @t181 () (not @t85)) % 0.45/0.63 (define @t182 () (not @t33)) % 0.45/0.63 (define @t183 () (or @t182 @t181 @t180)) % 0.45/0.63 (define @t184 () (forall @t88 @t183)) % 0.45/0.63 (define @t185 () (= tptp.init @t91)) % 0.45/0.63 (define @t186 () (not @t92)) % 0.45/0.63 (define @t187 () (not @t93)) % 0.45/0.63 (define @t188 () (or @t187 @t186 @t185)) % 0.45/0.63 (define @t189 () (forall @t96 @t188)) % 0.45/0.63 (define @t190 () (@var "BOUND_VARIABLE_8538" $$unsorted)) % 0.45/0.63 (define @t191 () (= tptp.init (tptp.a_select3 tptp.simplex7_init @t190 @t54))) % 0.45/0.63 (define @t192 () (not (tptp.leq @t190 tptp.n3))) % 0.45/0.63 (define @t193 () (not (tptp.leq tptp.n0 @t190))) % 0.45/0.63 (define @t194 () (not @t106)) % 0.45/0.63 (define @t195 () (not @t107)) % 0.45/0.63 (define @t196 () (or @t195 @t194 @t193 @t192 @t191)) % 0.45/0.63 (define @t197 () (@list @t54 @t190)) % 0.45/0.63 (define @t198 () (forall @t197 @t196)) % 0.45/0.63 (define @t199 () (= tptp.init tptp.s_worst7_init)) % 0.45/0.63 (define @t200 () (= tptp.init tptp.s_sworst7_init)) % 0.45/0.63 (define @t201 () (= tptp.init tptp.s_best7_init)) % 0.45/0.63 (define @t202 () (or @t193 @t192 @t191)) % 0.45/0.63 (define @t203 () (or @t195 @t194 @t202)) % 0.45/0.63 (define @t204 () (forall @t197 @t203)) % 0.45/0.63 (define @t205 () (@list @t190)) % 0.45/0.63 (define @t206 () (forall @t205 @t203)) % 0.45/0.63 (define @t207 () (forall @t205 @t202)) % 0.45/0.63 (define @t208 () (or @t195 @t194 @t207)) % 0.45/0.63 (define @t209 () (= tptp.init @t99)) % 0.45/0.63 (define @t210 () (not @t100)) % 0.45/0.63 (define @t211 () (not @t101)) % 0.45/0.63 (define @t212 () (or @t211 @t210 @t209)) % 0.45/0.63 (define @t213 () (forall @t104 @t212)) % 0.45/0.63 (define @t214 () (or @t195 @t194 @t213)) % 0.45/0.63 (define @t215 () (= tptp.init @t125)) % 0.45/0.63 (define @t216 () (not @t126)) % 0.45/0.63 (define @t217 () (not @t127)) % 0.45/0.63 (define @t218 () (or @t217 @t216 @t215)) % 0.45/0.63 (define @t219 () (forall @t130 @t218)) % 0.45/0.63 (define @t220 () (= tptp.init @t132)) % 0.45/0.63 (define @t221 () (not @t133)) % 0.45/0.63 (define @t222 () (not @t134)) % 0.45/0.63 (define @t223 () (or @t222 @t221 @t220)) % 0.45/0.63 (define @t224 () (forall @t137 @t223)) % 0.45/0.63 (define @t225 () (= tptp.init @t139)) % 0.45/0.63 (define @t226 () (not @t140)) % 0.45/0.63 (define @t227 () (not @t141)) % 0.45/0.63 (define @t228 () (or @t227 @t226 @t225)) % 0.45/0.63 (define @t229 () (forall @t144 @t228)) % 0.45/0.63 (define @t230 () (@var "BOUND_VARIABLE_8473" $$unsorted)) % 0.45/0.63 (define @t231 () (= tptp.init (tptp.a_select3 tptp.simplex7_init @t230 @t27))) % 0.45/0.63 (define @t232 () (not (tptp.leq @t230 tptp.n3))) % 0.45/0.63 (define @t233 () (not (tptp.leq tptp.n0 @t230))) % 0.45/0.63 (define @t234 () (not @t153)) % 0.45/0.63 (define @t235 () (not @t154)) % 0.45/0.63 (define @t236 () (or @t235 @t234 @t233 @t232 @t231)) % 0.45/0.63 (define @t237 () (@list @t27 @t230)) % 0.45/0.63 (define @t238 () (forall @t237 @t236)) % 0.45/0.63 (define @t239 () (or @t233 @t232 @t231)) % 0.45/0.63 (define @t240 () (or @t235 @t234 @t239)) % 0.45/0.63 (define @t241 () (forall @t237 @t240)) % 0.45/0.63 (define @t242 () (@list @t230)) % 0.45/0.63 (define @t243 () (forall @t242 @t240)) % 0.45/0.63 (define @t244 () (forall @t242 @t239)) % 0.45/0.63 (define @t245 () (or @t235 @t234 @t244)) % 0.45/0.63 (define @t246 () (= tptp.init @t146)) % 0.45/0.63 (define @t247 () (not @t147)) % 0.45/0.63 (define @t248 () (not @t148)) % 0.45/0.63 (define @t249 () (or @t248 @t247 @t246)) % 0.45/0.63 (define @t250 () (forall @t151 @t249)) % 0.45/0.63 (define @t251 () (or @t235 @t234 @t250)) % 0.45/0.63 (define @t252 () (@list false)) % 0.45/0.63 (define @t253 () (@list true)) % 0.45/0.63 (define @t254 () (@list @t174)) % 0.45/0.63 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.45/0.63 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.45/0.63 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.45/0.63 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.45/0.63 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.45/0.63 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.45/0.63 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.45/0.63 (assume @p8 (forall @t6 (=> @t4 @t10))) % 0.45/0.63 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.45/0.63 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.45/0.63 (assume @p11 (forall @t9 (tptp.gt @t11 @t2))) % 0.45/0.63 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t12)))) % 0.45/0.63 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t12 @t2)))) % 0.45/0.63 (assume @p14 (forall @t16 (=> @t15 (tptp.leq @t14 @t2)))) % 0.45/0.63 (assume @p15 (forall @t16 (=> @t15 (tptp.leq tptp.n0 @t14)))) % 0.45/0.63 (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)))) % 0.45/0.63 (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)))) % 0.45/0.63 (assume @p18 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t28 @t18 @t22) (tptp.a_select3 @t28 @t22 @t18))))))) % 0.45/0.63 (assume @p19 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t38 @t18 @t22) (tptp.a_select3 @t38 @t22 @t18))))))) % 0.45/0.63 (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))))))) % 0.45/0.63 (assume @p21 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t43 @t18 @t22) (tptp.a_select3 @t43 @t22 @t18))))))) % 0.45/0.63 (assume @p22 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t48 @t18 @t22) (tptp.a_select3 @t48 @t22 @t18))))))) % 0.45/0.63 (assume @p23 (forall @t47 (=> @t45 @t50))) % 0.45/0.63 (assume @p24 (forall (@list @t27 @t42 @t29 @t51) (=> (forall @t35 (=> @t52 @t44)) @t50))) % 0.45/0.63 (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))))))) % 0.45/0.63 (assume @p26 (forall @t59 (= @t58 tptp.n0))) % 0.45/0.63 (assume @p27 (forall @t59 (= tptp.tptp_float_0_0 @t58))) % 0.45/0.63 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.45/0.63 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t11))) % 0.45/0.63 (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t11))) % 0.45/0.63 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t60))) % 0.45/0.63 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t60))) % 0.45/0.63 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t61))) % 0.45/0.63 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t61))) % 0.45/0.63 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t62))) % 0.45/0.63 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t62))) % 0.45/0.63 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t63))) % 0.45/0.63 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t63))) % 0.45/0.63 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t64))) % 0.45/0.63 (assume @p40 (forall @t9 (= (tptp.pred @t11) @t2))) % 0.45/0.63 (assume @p41 (forall @t9 (= (tptp.succ @t64) @t2))) % 0.45/0.63 (assume @p42 (forall @t6 (= (tptp.leq @t11 @t12) @t10))) % 0.45/0.63 (assume @p43 (forall @t6 (=> (tptp.leq @t11 @t1) @t4))) % 0.45/0.63 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.45/0.63 (assume @p45 (forall (@list @t2 @t19 @t65 @t39) (= (tptp.a_select3 @t66 @t19 @t65) @t39))) % 0.45/0.63 (assume @p46 (forall (@list @t18 @t22 @t19 @t65 @t2 @t39 @t67) (=> (and @t68 (= @t22 @t65) (= (tptp.a_select3 @t2 @t19 @t65) @t39)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t18 @t22 @t67) @t19 @t65) @t39)))) % 0.45/0.63 (assume @p47 (forall (@list @t18 @t22 @t19 @t65 @t2 @t39) (=> (and (forall (@list @t70 @t69) (=> (and @t72 (tptp.leq tptp.n0 @t69) @t71 (tptp.leq @t69 @t65)) (= (tptp.a_select3 @t2 @t70 @t69) @t39))) @t33 @t21 @t31 (tptp.leq @t22 @t65)) (= (tptp.a_select3 @t66 @t18 @t22) @t39)))) % 0.45/0.63 (assume @p48 (forall (@list @t2 @t19 @t39) (= (tptp.a_select2 @t73 @t19) @t39))) % 0.45/0.63 (assume @p49 (forall (@list @t18 @t19 @t2 @t39 @t67) (=> (and @t68 (= (tptp.a_select2 @t2 @t19) @t39)) (= (tptp.a_select2 (tptp.tptp_update2 @t2 @t18 @t67) @t19) @t39)))) % 0.45/0.63 (assume @p50 (forall (@list @t18 @t19 @t2 @t39) (=> (and (forall (@list @t70) (=> (and @t72 @t71) (= (tptp.a_select2 @t2 @t70) @t39))) @t33 @t21) (= (tptp.a_select2 @t73 @t18) @t39)))) % 0.45/0.63 (assume @p51 tptp.true) % 0.45/0.63 (assume @p52 (not (= tptp.def tptp.use))) % 0.45/0.63 (assume @p53 @t163) % 0.45/0.63 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.45/0.63 (assume @p55 (tptp.gt tptp.n410 tptp.n4)) % 0.45/0.63 (assume @p56 (tptp.gt tptp.n410 tptp.n5)) % 0.45/0.63 (assume @p57 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.45/0.63 (assume @p58 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.45/0.63 (assume @p59 (tptp.gt tptp.n410 tptp.tptp_minus_1)) % 0.45/0.63 (assume @p60 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.45/0.63 (assume @p61 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.45/0.63 (assume @p62 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.45/0.63 (assume @p63 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.45/0.63 (assume @p64 (tptp.gt tptp.n4 tptp.n0)) % 0.45/0.63 (assume @p65 (tptp.gt tptp.n5 tptp.n0)) % 0.45/0.63 (assume @p66 (tptp.gt tptp.n410 tptp.n0)) % 0.45/0.63 (assume @p67 (tptp.gt tptp.n1 tptp.n0)) % 0.45/0.63 (assume @p68 (tptp.gt tptp.n2 tptp.n0)) % 0.45/0.63 (assume @p69 (tptp.gt tptp.n3 tptp.n0)) % 0.45/0.63 (assume @p70 (tptp.gt tptp.n4 tptp.n1)) % 0.45/0.63 (assume @p71 (tptp.gt tptp.n5 tptp.n1)) % 0.45/0.63 (assume @p72 (tptp.gt tptp.n410 tptp.n1)) % 0.45/0.63 (assume @p73 (tptp.gt tptp.n2 tptp.n1)) % 0.45/0.63 (assume @p74 (tptp.gt tptp.n3 tptp.n1)) % 0.45/0.63 (assume @p75 (tptp.gt tptp.n4 tptp.n2)) % 0.45/0.63 (assume @p76 (tptp.gt tptp.n5 tptp.n2)) % 0.45/0.63 (assume @p77 (tptp.gt tptp.n410 tptp.n2)) % 0.45/0.63 (assume @p78 (tptp.gt tptp.n3 tptp.n2)) % 0.45/0.63 (assume @p79 (tptp.gt tptp.n4 tptp.n3)) % 0.45/0.63 (assume @p80 (tptp.gt tptp.n5 tptp.n3)) % 0.45/0.63 (assume @p81 (tptp.gt tptp.n410 tptp.n3)) % 0.45/0.63 (assume @p82 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n4)) (or @t168 @t167 @t166 @t165 @t164)))) % 0.45/0.63 (assume @p83 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n5)) (or @t168 @t167 @t166 @t165 @t164 (= @t2 tptp.n5))))) % 0.45/0.63 (assume @p84 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n0)) @t168))) % 0.45/0.63 (assume @p85 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n1)) (or @t168 @t167)))) % 0.45/0.63 (assume @p86 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n2)) (or @t168 @t167 @t166)))) % 0.45/0.63 (assume @p87 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n3)) (or @t168 @t167 @t166 @t165)))) % 0.45/0.63 (assume @p88 (= @t172 tptp.n4)) % 0.45/0.63 (assume @p89 (= (tptp.succ @t172) tptp.n5)) % 0.45/0.63 (assume @p90 (= @t169 tptp.n1)) % 0.45/0.63 (assume @p91 (= @t170 tptp.n2)) % 0.45/0.63 (assume @p92 (= @t171 tptp.n3)) % 0.45/0.63 (assume @p93 true) % 0.45/0.63 (step @p94 :rule aci_norm :args ((= (and true @t201 @t200 @t199 @t119 @t118 @t117 @t116 @t115 @t114 @t113 @t112 @t198 @t189 @t184 @t179 @t174) (and @t201 @t200 @t199 @t119 @t118 @t117 @t116 @t115 @t114 @t113 @t112 @t198 @t189 @t184 @t179 @t174)))) % 0.45/0.63 (step @p95 :rule eq-symm :args (tptp.pvar1402_init tptp.init)) % 0.45/0.63 (step @p96 :rule eq-symm :args (tptp.pvar1401_init tptp.init)) % 0.45/0.63 (step @p97 :rule eq-symm :args (tptp.pvar1400_init tptp.init)) % 0.45/0.63 (step @p98 :rule nary_cong :premises (@p97 @p96 @p95) :args (@t74)) % 0.45/0.63 (step @p99 :rule refl :args (@t75)) % 0.45/0.63 (step @p100 :rule cong :premises (@p99 @p98) :args (@t76)) % 0.45/0.63 (step @p101 :rule aci_norm :args ((= (or (or @t177 @t176) @t175) @t178))) % 0.45/0.63 (step @p102 :rule refl :args (@t175)) % 0.45/0.63 (step @p103 :rule bool-and-de-morgan :args (@t31 @t79 true)) % 0.45/0.63 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or (not @t80) @t175))) % 0.45/0.63 (step @p105 :rule trans :premises (@p104 @p101)) % 0.45/0.63 (step @p106 :rule bool-impl-elim :args (@t80 @t175)) % 0.45/0.63 (step @p107 :rule trans :premises (@p106 @p105)) % 0.45/0.63 (step @p108 :rule cong :premises (@p107) :args ((forall @t82 (=> @t80 @t175)))) % 0.45/0.63 (step @p109 :rule eq-symm :args (@t77 tptp.init)) % 0.45/0.63 (step @p110 :rule refl :args (@t80)) % 0.45/0.63 (step @p111 :rule cong :premises (@p110 @p109) :args (@t81)) % 0.45/0.63 (step @p112 :rule cong :premises (@p111) :args (@t83)) % 0.45/0.63 (step @p113 :rule trans :premises (@p112 @p108)) % 0.45/0.63 (step @p114 :rule aci_norm :args ((= (or (or @t182 @t181) @t180) @t183))) % 0.45/0.63 (step @p115 :rule refl :args (@t180)) % 0.45/0.63 (step @p116 :rule bool-and-de-morgan :args (@t33 @t85 true)) % 0.45/0.63 (step @p117 :rule nary_cong :premises (@p116 @p115) :args ((or (not @t86) @t180))) % 0.45/0.63 (step @p118 :rule trans :premises (@p117 @p114)) % 0.45/0.63 (step @p119 :rule bool-impl-elim :args (@t86 @t180)) % 0.45/0.63 (step @p120 :rule trans :premises (@p119 @p118)) % 0.45/0.63 (step @p121 :rule cong :premises (@p120) :args ((forall @t88 (=> @t86 @t180)))) % 0.45/0.63 (step @p122 :rule eq-symm :args (@t84 tptp.init)) % 0.45/0.63 (step @p123 :rule refl :args (@t86)) % 0.45/0.63 (step @p124 :rule cong :premises (@p123 @p122) :args (@t87)) % 0.45/0.63 (step @p125 :rule cong :premises (@p124) :args (@t89)) % 0.45/0.63 (step @p126 :rule trans :premises (@p125 @p121)) % 0.45/0.63 (step @p127 :rule aci_norm :args ((= (or (or @t187 @t186) @t185) @t188))) % 0.45/0.63 (step @p128 :rule refl :args (@t185)) % 0.45/0.63 (step @p129 :rule bool-and-de-morgan :args (@t93 @t92 true)) % 0.45/0.63 (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((or (not @t94) @t185))) % 0.45/0.63 (step @p131 :rule trans :premises (@p130 @p127)) % 0.45/0.63 (step @p132 :rule bool-impl-elim :args (@t94 @t185)) % 0.45/0.63 (step @p133 :rule trans 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aci_norm :args ((= (or (or @t211 @t210) @t209) @t212))) % 0.45/0.63 (step @p163 :rule refl :args (@t209)) % 0.45/0.63 (step @p164 :rule bool-and-de-morgan :args (@t101 @t100 true)) % 0.45/0.63 (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((or (not @t102) @t209))) % 0.45/0.63 (step @p166 :rule trans :premises (@p165 @p162)) % 0.45/0.63 (step @p167 :rule bool-impl-elim :args (@t102 @t209)) % 0.45/0.63 (step @p168 :rule trans :premises (@p167 @p166)) % 0.45/0.63 (step @p169 :rule cong :premises (@p168) :args ((forall @t104 (=> @t102 @t209)))) % 0.45/0.63 (step @p170 :rule eq-symm :args (@t99 tptp.init)) % 0.45/0.63 (step @p171 :rule refl :args (@t102)) % 0.45/0.63 (step @p172 :rule cong :premises (@p171 @p170) :args (@t103)) % 0.45/0.63 (step @p173 :rule cong :premises (@p172) :args (@t105)) % 0.45/0.63 (step @p174 :rule trans :premises (@p173 @p169)) % 0.45/0.63 (step @p175 :rule refl :args (@t108)) % 0.45/0.63 (step @p176 :rule cong :premises (@p175 @p174) :args (@t109)) % 0.45/0.63 (step @p177 :rule cong :premises (@p176) :args (@t111)) % 0.45/0.63 (step @p178 :rule trans :premises (@p177 @p161)) % 0.45/0.63 (step @p179 :rule refl :args (@t112)) % 0.45/0.63 (step @p180 :rule refl :args (@t113)) % 0.45/0.63 (step @p181 :rule refl :args (@t114)) % 0.45/0.63 (step @p182 :rule refl :args (@t115)) % 0.45/0.63 (step @p183 :rule refl :args (@t116)) % 0.45/0.63 (step @p184 :rule refl :args (@t117)) % 0.45/0.63 (step @p185 :rule refl :args (@t118)) % 0.45/0.63 (step @p186 :rule refl :args (@t119)) % 0.45/0.63 (step @p187 :rule eq-symm :args (tptp.s_worst7_init tptp.init)) % 0.45/0.63 (step @p188 :rule eq-symm :args (tptp.s_sworst7_init tptp.init)) % 0.45/0.63 (step @p189 :rule eq-symm :args (tptp.s_best7_init tptp.init)) % 0.45/0.63 (step @p190 :rule eq-refl :args (tptp.init)) % 0.45/0.63 (step @p191 :rule nary_cong :premises (@p190 @p189 @p188 @p187 @p186 @p185 @p184 @p183 @p182 @p181 @p180 @p179 @p178 @p139 @p126 @p113 @p100) :args (@t124)) % 0.45/0.63 (step @p192 :rule trans :premises (@p191 @p94)) % 0.45/0.63 (step @p193 :rule aci_norm :args ((= (and true @t201 @t200 @t199 @t119 @t118 @t117 @t160 @t116 @t115 @t114 @t113 @t159 @t112 @t238 @t229 @t224 @t219 @t174) (and @t201 @t200 @t199 @t119 @t118 @t117 @t160 @t116 @t115 @t114 @t113 @t159 @t112 @t238 @t229 @t224 @t219 @t174)))) % 0.45/0.63 (step @p194 :rule aci_norm :args ((= (or (or @t217 @t216) @t215) @t218))) % 0.45/0.63 (step @p195 :rule refl :args (@t215)) % 0.45/0.63 (step @p196 :rule bool-and-de-morgan :args (@t127 @t126 true)) % 0.45/0.63 (step @p197 :rule nary_cong :premises (@p196 @p195) :args ((or (not @t128) @t215))) % 0.45/0.63 (step @p198 :rule trans :premises (@p197 @p194)) % 0.45/0.63 (step @p199 :rule bool-impl-elim :args (@t128 @t215)) % 0.45/0.63 (step @p200 :rule trans :premises (@p199 @p198)) % 0.45/0.63 (step @p201 :rule cong :premises (@p200) :args ((forall @t130 (=> @t128 @t215)))) % 0.45/0.63 (step @p202 :rule eq-symm :args (@t125 tptp.init)) % 0.45/0.63 (step @p203 :rule refl :args (@t128)) % 0.45/0.63 (step @p204 :rule cong :premises (@p203 @p202) :args (@t129)) % 0.45/0.63 (step @p205 :rule cong :premises (@p204) :args (@t131)) % 0.45/0.63 (step @p206 :rule trans :premises (@p205 @p201)) % 0.45/0.63 (step @p207 :rule aci_norm :args ((= (or (or @t222 @t221) @t220) @t223))) % 0.45/0.63 (step @p208 :rule refl :args (@t220)) % 0.45/0.63 (step @p209 :rule bool-and-de-morgan :args (@t134 @t133 true)) % 0.45/0.63 (step @p210 :rule nary_cong :premises (@p209 @p208) :args ((or (not @t135) @t220))) % 0.45/0.63 (step @p211 :rule trans :premises (@p210 @p207)) % 0.45/0.63 (step @p212 :rule bool-impl-elim :args (@t135 @t220)) % 0.45/0.63 (step @p213 :rule trans :premises (@p212 @p211)) % 0.45/0.63 (step @p214 :rule cong :premises (@p213) :args ((forall @t137 (=> @t135 @t220)))) % 0.45/0.63 (step @p215 :rule eq-symm :args (@t132 tptp.init)) % 0.45/0.63 (step @p216 :rule refl :args (@t135)) % 0.45/0.63 (step @p217 :rule cong :premises (@p216 @p215) 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(step @p232 :rule trans :premises (@p231 @p227)) % 0.45/0.63 (step @p233 :rule aci_norm :args ((= @t240 @t236))) % 0.45/0.63 (step @p234 :rule cong :premises (@p233) :args (@t241)) % 0.45/0.63 (step @p235 :rule quant-merge-prenex :args ((= (forall @t157 @t243) @t241))) % 0.45/0.63 (step @p236 :rule alpha_equiv :args (@t244 (@list @t230) (@list @t42))) % 0.45/0.63 (step @p237 :rule refl :args (@t234)) % 0.45/0.63 (step @p238 :rule refl :args (@t235)) % 0.45/0.63 (step @p239 :rule nary_cong :premises (@p238 @p237 @p236) :args (@t245)) % 0.45/0.63 (step @p240 :rule quant-miniscope-or :args ((= @t243 @t245))) % 0.45/0.63 (step @p241 :rule trans :premises (@p240 @p239)) % 0.45/0.63 (step @p242 :rule symm :premises (@p241)) % 0.45/0.63 (step @p243 :rule cong :premises (@p242) :args ((forall @t157 @t251))) % 0.45/0.63 (step @p244 :rule trans :premises (@p243 @p235)) % 0.45/0.63 (step @p245 :rule trans :premises (@p244 @p234)) % 0.45/0.63 (step @p246 :rule aci_norm :args ((= (or (or @t235 @t234) @t250) @t251))) % 0.45/0.63 (step @p247 :rule refl :args (@t250)) % 0.45/0.63 (step @p248 :rule bool-and-de-morgan :args (@t154 @t153 true)) % 0.45/0.63 (step @p249 :rule nary_cong :premises (@p248 @p247) :args ((or (not @t155) @t250))) % 0.45/0.63 (step @p250 :rule trans :premises (@p249 @p246)) % 0.45/0.63 (step @p251 :rule bool-impl-elim :args (@t155 @t250)) % 0.45/0.63 (step @p252 :rule trans :premises (@p251 @p250)) % 0.45/0.63 (step @p253 :rule cong :premises (@p252) :args ((forall @t157 (=> @t155 @t250)))) % 0.45/0.63 (step @p254 :rule trans :premises (@p253 @p245)) % 0.45/0.63 (step @p255 :rule aci_norm :args ((= (or (or @t248 @t247) @t246) @t249))) % 0.45/0.63 (step @p256 :rule refl :args (@t246)) % 0.45/0.63 (step @p257 :rule bool-and-de-morgan :args (@t148 @t147 true)) % 0.45/0.63 (step @p258 :rule nary_cong :premises (@p257 @p256) :args ((or (not @t149) @t246))) % 0.45/0.63 (step @p259 :rule trans :premises (@p258 @p255)) % 0.45/0.63 (step @p260 :rule bool-impl-elim :args (@t149 @t246)) % 0.45/0.63 (step @p261 :rule trans :premises (@p260 @p259)) % 0.45/0.63 (step @p262 :rule cong :premises (@p261) :args ((forall @t151 (=> @t149 @t246)))) % 0.45/0.63 (step @p263 :rule eq-symm :args (@t146 tptp.init)) % 0.45/0.63 (step @p264 :rule refl :args (@t149)) % 0.45/0.63 (step @p265 :rule cong :premises (@p264 @p263) :args (@t150)) % 0.45/0.63 (step @p266 :rule cong :premises (@p265) :args (@t152)) % 0.45/0.63 (step @p267 :rule trans :premises (@p266 @p262)) % 0.45/0.63 (step @p268 :rule refl :args (@t155)) % 0.45/0.63 (step @p269 :rule cong :premises (@p268 @p267) :args (@t156)) % 0.45/0.63 (step @p270 :rule cong :premises (@p269) :args (@t158)) % 0.45/0.63 (step @p271 :rule trans :premises (@p270 @p254)) % 0.45/0.63 (step @p272 :rule refl :args (@t159)) % 0.45/0.63 (step @p273 :rule refl :args (@t160)) % 0.45/0.63 (step @p274 :rule nary_cong :premises (@p190 @p189 @p188 @p187 @p186 @p185 @p184 @p273 @p183 @p182 @p181 @p180 @p272 @p179 @p271 @p232 @p219 @p206 @p100) :args (@t161)) % 0.45/0.63 (step @p275 :rule trans :premises (@p274 @p193)) % 0.45/0.63 (step @p276 :rule cong :premises (@p275 @p192) :args (@t162)) % 0.45/0.63 (step @p277 :rule cong :premises (@p276) :args (@t163)) % 0.45/0.63 (step @p278 :rule eq_resolve :premises (@p53 @p277)) % 0.45/0.63 (step @p279 :rule not_implies_elim1 :premises (@p278)) % 0.45/0.63 (step @p280 :rule and_elim :premises (@p279) :args (16)) % 0.45/0.63 (step @p281 :rule alpha_equiv :args (@t219 (@list @t53) (@list @t22))) % 0.45/0.63 (step @p282 :rule equiv_elim1 :premises (@p281)) % 0.45/0.63 (step @p283 :rule reordering :premises (@p282) :args ((or @t179 (not @t219)))) % 0.45/0.63 (step @p284 :rule chain_m_resolution :premises (@p283 @p280) :args (@t179 @t252 (@list @t219))) % 0.45/0.63 (step @p285 :rule and_elim :premises (@p279) :args (15)) % 0.45/0.63 (step @p286 :rule alpha_equiv :args (@t224 (@list @t55) (@list @t18))) % 0.45/0.63 (step @p287 :rule equiv_elim1 :premises (@p286)) % 0.45/0.63 (step @p288 :rule reordering :premises (@p287) :args ((or @t184 (not @t224)))) % 0.45/0.63 (step @p289 :rule chain_m_resolution :premises (@p288 @p285) :args (@t184 @t252 (@list @t224))) % 0.45/0.63 (step @p290 :rule and_elim :premises (@p279) :args (14)) % 0.45/0.63 (step @p291 :rule alpha_equiv :args (@t229 (@list @t13) (@list @t90))) % 0.45/0.63 (step @p292 :rule equiv_elim1 :premises (@p291)) % 0.45/0.63 (step @p293 :rule reordering :premises (@p292) :args ((or @t189 (not @t229)))) % 0.45/0.63 (step @p294 :rule chain_m_resolution :premises (@p293 @p290) :args (@t189 @t252 (@list @t229))) % 0.45/0.63 (step @p295 :rule and_elim :premises (@p279) :args (13)) % 0.45/0.63 (step @p296 :rule alpha_equiv :args (@t238 (@list @t230 @t27) (@list @t190 @t54))) % 0.45/0.63 (step @p297 :rule equiv_elim1 :premises (@p296)) % 0.45/0.63 (step @p298 :rule reordering :premises (@p297) :args ((or @t198 (not @t238)))) % 0.45/0.63 (step @p299 :rule chain_m_resolution :premises (@p298 @p295) :args (@t198 @t252 (@list @t238))) % 0.45/0.63 (step @p300 :rule and_elim :premises (@p279) :args (12)) % 0.45/0.63 (step @p301 :rule and_elim :premises (@p279) :args (10)) % 0.45/0.63 (step @p302 :rule and_elim :premises (@p279) :args (9)) % 0.45/0.63 (step @p303 :rule and_elim :premises (@p279) :args (8)) % 0.45/0.63 (step @p304 :rule and_elim :premises (@p279) :args (7)) % 0.45/0.63 (step @p305 :rule and_elim :premises (@p279) :args (5)) % 0.45/0.63 (step @p306 :rule and_elim :premises (@p279) :args (4)) % 0.45/0.63 (step @p307 :rule and_elim :premises (@p279) :args (3)) % 0.45/0.63 (step @p308 :rule and_elim :premises (@p279) :args (2)) % 0.45/0.63 (step @p309 :rule and_elim :premises (@p279) :args (1)) % 0.45/0.63 (step @p310 :rule and_elim :premises (@p279) :args (0)) % 0.45/0.63 (step @p311 :rule not_implies_elim2 :premises (@p278)) % 0.45/0.63 (step @p312 :rule not_and :premises (@p311)) % 0.45/0.63 (step @p313 :rule chain_m_resolution :premises (@p312 @p310 @p309 @p308 @p307 @p306 @p305 @p304 @p303 @p302 @p301 @p300 @p299 @p294 @p289 @p284) :args ((not @t174) (@list false false false false false false false false false false false false false false false) (@list @t201 @t200 @t199 @t119 @t118 @t117 @t116 @t115 @t114 @t113 @t112 @t198 @t189 @t184 @t179))) % 0.45/0.63 (step @p314 :rule cnf_implies_neg1 :args (@t174)) % 0.45/0.63 (step @p315 :rule reordering :premises (@p314) :args ((or @t75 @t174))) % 0.45/0.63 (step @p316 :rule chain_m_resolution :premises (@p315 @p313) :args (@t75 @t253 @t254)) % 0.45/0.63 (step @p317 :rule cnf_implies_neg2 :args (@t174)) % 0.45/0.63 (step @p318 :rule chain_m_resolution :premises (@p317 @p313) :args ((not @t173) @t253 @t254)) % 0.45/0.63 (step @p319 :rule and_elim :premises (@p279) :args (17)) % 0.45/0.63 (step @p320 :rule implies_elim :premises (@p319)) % 0.45/0.63 (step @p321 :rule reordering :premises (@p320) :args ((or @t173 (not @t75)))) % 0.45/0.63 (step @p322 false :rule chain_m_resolution :premises (@p321 @p318 @p316) :args (false (@list true false) (@list @t173 @t75))) % 0.45/0.63 ) % 0.45/0.63 % SZS output end Proof % 0.45/0.63 % cvc5 exiting %------------------------------------------------------------------------------