%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV114+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 : n006.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 09:00:33 AM UTC 2026 % Result : Theorem 0.52s 0.70s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV114+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 : n006.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 19:55:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.52/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.70 % SZS status Theorem % 0.52/0.70 % SZS output start Proof % 0.52/0.70 ( % 0.52/0.70 (declare-sort $$unsorted 0) % 0.52/0.70 (declare-const tptp.pv5 $$unsorted) % 0.52/0.70 (declare-const tptp.q_ds1_filter $$unsorted) % 0.52/0.70 (declare-const tptp.r_ds1_filter $$unsorted) % 0.52/0.70 (declare-const tptp.def $$unsorted) % 0.52/0.70 (declare-const tptp.use $$unsorted) % 0.52/0.70 (declare-const tptp.true Bool) % 0.52/0.70 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.id_ds1_filter $$unsorted) % 0.52/0.70 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.n6 $$unsorted) % 0.52/0.70 (declare-const tptp.n3 $$unsorted) % 0.52/0.70 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.52/0.70 (declare-const tptp.n0 $$unsorted) % 0.52/0.70 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.n1 $$unsorted) % 0.52/0.70 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.n5 $$unsorted) % 0.52/0.70 (declare-const tptp.n999 $$unsorted) % 0.52/0.70 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.pminus_ds1_filter $$unsorted) % 0.52/0.70 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.52/0.70 (declare-const tptp.n4 $$unsorted) % 0.52/0.70 (declare-const tptp.n2 $$unsorted) % 0.52/0.70 (define @t1 () (@var "Y" $$unsorted)) % 0.52/0.70 (define @t2 () (@var "X" $$unsorted)) % 0.52/0.70 (define @t3 () (= @t2 @t1)) % 0.52/0.70 (define @t4 () (tptp.gt @t1 @t2)) % 0.52/0.70 (define @t5 () (tptp.gt @t2 @t1)) % 0.52/0.70 (define @t6 () (@list @t2 @t1)) % 0.52/0.70 (define @t7 () (@var "Z" $$unsorted)) % 0.52/0.70 (define @t8 () (@list @t2 @t1 @t7)) % 0.52/0.70 (define @t9 () (@list @t2)) % 0.52/0.70 (define @t10 () (tptp.leq @t2 @t7)) % 0.52/0.70 (define @t11 () (tptp.leq @t1 @t7)) % 0.52/0.70 (define @t12 () (tptp.leq @t2 @t1)) % 0.52/0.70 (define @t13 () (and @t12 @t11)) % 0.52/0.70 (define @t14 () (forall @t8 (=> @t13 @t10))) % 0.52/0.70 (define @t15 () (forall @t6 (=> @t4 @t12))) % 0.52/0.70 (define @t16 () (tptp.succ @t2)) % 0.52/0.70 (define @t17 () (tptp.succ @t1)) % 0.52/0.70 (define @t18 () (@var "C" $$unsorted)) % 0.52/0.70 (define @t19 () (tptp.uniform_int_rnd @t18 @t2)) % 0.52/0.70 (define @t20 () (tptp.leq tptp.n0 @t2)) % 0.52/0.70 (define @t21 () (@list @t2 @t18)) % 0.52/0.70 (define @t22 () (@var "Val" $$unsorted)) % 0.52/0.70 (define @t23 () (@var "I" $$unsorted)) % 0.52/0.70 (define @t24 () (@var "U" $$unsorted)) % 0.52/0.70 (define @t25 () (@var "L" $$unsorted)) % 0.52/0.70 (define @t26 () (tptp.leq @t23 @t24)) % 0.52/0.70 (define @t27 () (@var "J" $$unsorted)) % 0.52/0.70 (define @t28 () (@var "U2" $$unsorted)) % 0.52/0.70 (define @t29 () (@var "L2" $$unsorted)) % 0.52/0.70 (define @t30 () (@var "U1" $$unsorted)) % 0.52/0.70 (define @t31 () (@var "L1" $$unsorted)) % 0.52/0.70 (define @t32 () (@var "A" $$unsorted)) % 0.52/0.70 (define @t33 () (tptp.trans @t32)) % 0.52/0.70 (define @t34 () (@var "N" $$unsorted)) % 0.52/0.70 (define @t35 () (tptp.leq @t27 @t34)) % 0.52/0.70 (define @t36 () (tptp.leq tptp.n0 @t27)) % 0.52/0.70 (define @t37 () (tptp.leq @t23 @t34)) % 0.52/0.70 (define @t38 () (tptp.leq tptp.n0 @t23)) % 0.52/0.70 (define @t39 () (and @t38 @t37 @t36 @t35)) % 0.52/0.70 (define @t40 () (@list @t23 @t27)) % 0.52/0.70 (define @t41 () (forall @t40 (=> @t39 (= (tptp.a_select3 @t32 @t23 @t27) (tptp.a_select3 @t32 @t27 @t23))))) % 0.52/0.70 (define @t42 () (@list @t32 @t34)) % 0.52/0.70 (define @t43 () (tptp.inv @t32)) % 0.52/0.70 (define @t44 () (@var "VAL" $$unsorted)) % 0.52/0.70 (define @t45 () (@var "K" $$unsorted)) % 0.52/0.70 (define @t46 () (tptp.tptp_update3 @t32 @t45 @t45 @t44)) % 0.52/0.70 (define @t47 () (tptp.leq tptp.n0 @t45)) % 0.52/0.70 (define @t48 () (@var "B" $$unsorted)) % 0.52/0.70 (define @t49 () (tptp.tptp_madd @t32 @t48)) % 0.52/0.70 (define @t50 () (= (tptp.a_select3 @t48 @t23 @t27) (tptp.a_select3 @t48 @t27 @t23))) % 0.52/0.70 (define @t51 () (forall @t40 (=> @t39 @t50))) % 0.52/0.70 (define @t52 () (and @t41 @t51)) % 0.52/0.70 (define @t53 () (@list @t32 @t48 @t34)) % 0.52/0.70 (define @t54 () (tptp.tptp_msub @t32 @t48)) % 0.52/0.70 (define @t55 () (tptp.tptp_mmul @t32 (tptp.tptp_mmul @t48 @t33))) % 0.52/0.70 (define @t56 () (forall @t40 (=> @t39 (= (tptp.a_select3 @t55 @t23 @t27) (tptp.a_select3 @t55 @t27 @t23))))) % 0.52/0.70 (define @t57 () (@var "M" $$unsorted)) % 0.52/0.70 (define @t58 () (and @t38 (tptp.leq @t23 @t57) @t36 (tptp.leq @t27 @t57))) % 0.52/0.70 (define @t59 () (@var "E" $$unsorted)) % 0.52/0.70 (define @t60 () (@var "F" $$unsorted)) % 0.52/0.70 (define @t61 () (@var "D" $$unsorted)) % 0.52/0.70 (define @t62 () (tptp.tptp_madd @t32 (tptp.tptp_mmul @t48 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t18 (tptp.tptp_mmul @t61 (tptp.trans @t18))) (tptp.tptp_mmul @t59 (tptp.tptp_mmul @t60 (tptp.trans @t59)))) (tptp.trans @t48))))) % 0.52/0.70 (define @t63 () (@var "Body" $$unsorted)) % 0.52/0.70 (define @t64 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t63)) % 0.52/0.70 (define @t65 () (@list @t63)) % 0.52/0.70 (define @t66 () (tptp.succ tptp.tptp_minus_1)) % 0.52/0.70 (define @t67 () (tptp.plus tptp.n1 @t2)) % 0.52/0.70 (define @t68 () (forall @t9 (= @t67 @t16))) % 0.52/0.70 (define @t69 () (tptp.succ @t16)) % 0.52/0.70 (define @t70 () (tptp.plus tptp.n2 @t2)) % 0.52/0.70 (define @t71 () (forall @t9 (= @t70 @t69))) % 0.52/0.70 (define @t72 () (tptp.succ @t69)) % 0.52/0.70 (define @t73 () (tptp.plus tptp.n3 @t2)) % 0.52/0.70 (define @t74 () (forall @t9 (= @t73 @t72))) % 0.52/0.70 (define @t75 () (tptp.succ @t72)) % 0.52/0.70 (define @t76 () (tptp.plus tptp.n4 @t2)) % 0.52/0.70 (define @t77 () (forall @t9 (= @t76 @t75))) % 0.52/0.70 (define @t78 () (tptp.succ @t75)) % 0.52/0.70 (define @t79 () (tptp.plus tptp.n5 @t2)) % 0.52/0.70 (define @t80 () (forall @t9 (= @t79 @t78))) % 0.52/0.70 (define @t81 () (tptp.pred @t2)) % 0.52/0.70 (define @t82 () (tptp.pred @t16)) % 0.52/0.70 (define @t83 () (forall @t9 (= @t82 @t2))) % 0.52/0.70 (define @t84 () (@var "V" $$unsorted)) % 0.52/0.70 (define @t85 () (tptp.tptp_update3 @t2 @t24 @t84 @t44)) % 0.52/0.70 (define @t86 () (@var "VAL2" $$unsorted)) % 0.52/0.70 (define @t87 () (not (= @t23 @t24))) % 0.52/0.70 (define @t88 () (@var "J0" $$unsorted)) % 0.52/0.70 (define @t89 () (@var "I0" $$unsorted)) % 0.52/0.70 (define @t90 () (tptp.leq @t89 @t24)) % 0.52/0.70 (define @t91 () (tptp.leq tptp.n0 @t89)) % 0.52/0.70 (define @t92 () (tptp.tptp_update2 @t2 @t24 @t44)) % 0.52/0.70 (define @t93 () (= (tptp.a_select3 tptp.id_ds1_filter @t57 @t34) (tptp.a_select3 tptp.id_ds1_filter @t34 @t57))) % 0.52/0.70 (define @t94 () (tptp.minus tptp.n6 tptp.n1)) % 0.52/0.70 (define @t95 () (tptp.leq @t34 @t94)) % 0.52/0.70 (define @t96 () (tptp.leq tptp.n0 @t34)) % 0.52/0.70 (define @t97 () (and @t96 @t95)) % 0.52/0.70 (define @t98 () (@list @t34)) % 0.52/0.70 (define @t99 () (forall @t98 (=> @t97 @t93))) % 0.52/0.70 (define @t100 () (tptp.minus tptp.n0 tptp.n1)) % 0.52/0.70 (define @t101 () (tptp.leq @t57 @t100)) % 0.52/0.70 (define @t102 () (tptp.leq tptp.n0 @t57)) % 0.52/0.70 (define @t103 () (and @t102 @t101)) % 0.52/0.70 (define @t104 () (=> @t103 @t99)) % 0.52/0.70 (define @t105 () (@list @t57)) % 0.52/0.70 (define @t106 () (forall @t105 @t104)) % 0.52/0.70 (define @t107 () (tptp.a_select3 tptp.pminus_ds1_filter @t25 @t45)) % 0.52/0.70 (define @t108 () (tptp.a_select3 tptp.pminus_ds1_filter @t45 @t25)) % 0.52/0.70 (define @t109 () (= @t108 @t107)) % 0.52/0.70 (define @t110 () (tptp.leq @t25 @t94)) % 0.52/0.70 (define @t111 () (tptp.leq @t45 @t94)) % 0.52/0.70 (define @t112 () (tptp.leq tptp.n0 @t25)) % 0.52/0.70 (define @t113 () (and @t47 @t112 @t111 @t110)) % 0.52/0.70 (define @t114 () (@list @t45 @t25)) % 0.52/0.70 (define @t115 () (forall @t114 (=> @t113 @t109))) % 0.52/0.70 (define @t116 () (= (tptp.a_select3 tptp.r_ds1_filter @t23 @t27) (tptp.a_select3 tptp.r_ds1_filter @t27 @t23))) % 0.52/0.70 (define @t117 () (tptp.minus tptp.n3 tptp.n1)) % 0.52/0.70 (define @t118 () (tptp.leq @t27 @t117)) % 0.52/0.70 (define @t119 () (tptp.leq @t23 @t117)) % 0.52/0.70 (define @t120 () (and @t38 @t36 @t119 @t118)) % 0.52/0.70 (define @t121 () (forall @t40 (=> @t120 @t116))) % 0.52/0.70 (define @t122 () (@var "G" $$unsorted)) % 0.52/0.70 (define @t123 () (@var "H" $$unsorted)) % 0.52/0.70 (define @t124 () (= (tptp.a_select3 tptp.q_ds1_filter @t122 @t123) (tptp.a_select3 tptp.q_ds1_filter @t123 @t122))) % 0.52/0.70 (define @t125 () (tptp.leq @t123 @t94)) % 0.52/0.70 (define @t126 () (tptp.leq @t122 @t94)) % 0.52/0.70 (define @t127 () (tptp.leq tptp.n0 @t123)) % 0.52/0.70 (define @t128 () (tptp.leq tptp.n0 @t122)) % 0.52/0.70 (define @t129 () (and @t128 @t127 @t126 @t125)) % 0.52/0.70 (define @t130 () (@list @t122 @t123)) % 0.52/0.70 (define @t131 () (forall @t130 (=> @t129 @t124))) % 0.52/0.70 (define @t132 () (tptp.leq tptp.pv5 (tptp.minus tptp.n999 tptp.n1))) % 0.52/0.70 (define @t133 () (tptp.leq tptp.n0 tptp.pv5)) % 0.52/0.70 (define @t134 () (and @t133 @t132 @t131 @t121 @t115 @t106)) % 0.52/0.70 (define @t135 () (= (tptp.a_select3 tptp.pminus_ds1_filter @t59 @t60) (tptp.a_select3 tptp.pminus_ds1_filter @t60 @t59))) % 0.52/0.70 (define @t136 () (tptp.leq @t60 @t94)) % 0.52/0.70 (define @t137 () (tptp.leq @t59 @t94)) % 0.52/0.70 (define @t138 () (tptp.leq tptp.n0 @t60)) % 0.52/0.70 (define @t139 () (tptp.leq tptp.n0 @t59)) % 0.52/0.70 (define @t140 () (and @t139 @t138 @t137 @t136)) % 0.52/0.70 (define @t141 () (@list @t59 @t60)) % 0.52/0.70 (define @t142 () (forall @t141 (=> @t140 @t135))) % 0.52/0.70 (define @t143 () (= (tptp.a_select3 tptp.r_ds1_filter @t18 @t61) (tptp.a_select3 tptp.r_ds1_filter @t61 @t18))) % 0.52/0.70 (define @t144 () (tptp.leq @t61 @t117)) % 0.52/0.70 (define @t145 () (tptp.leq @t18 @t117)) % 0.52/0.70 (define @t146 () (tptp.leq tptp.n0 @t61)) % 0.52/0.70 (define @t147 () (tptp.leq tptp.n0 @t18)) % 0.52/0.70 (define @t148 () (and @t147 @t146 @t145 @t144)) % 0.52/0.70 (define @t149 () (@list @t18 @t61)) % 0.52/0.70 (define @t150 () (forall @t149 (=> @t148 @t143))) % 0.52/0.70 (define @t151 () (= (tptp.a_select3 tptp.q_ds1_filter @t32 @t48) (tptp.a_select3 tptp.q_ds1_filter @t48 @t32))) % 0.52/0.70 (define @t152 () (tptp.leq @t48 @t94)) % 0.52/0.70 (define @t153 () (tptp.leq @t32 @t94)) % 0.52/0.70 (define @t154 () (tptp.leq tptp.n0 @t48)) % 0.52/0.70 (define @t155 () (tptp.leq tptp.n0 @t32)) % 0.52/0.70 (define @t156 () (and @t155 @t154 @t153 @t152)) % 0.52/0.70 (define @t157 () (@list @t32 @t48)) % 0.52/0.70 (define @t158 () (forall @t157 (=> @t156 @t151))) % 0.52/0.70 (define @t159 () (and @t133 @t132 @t158 @t150 @t142)) % 0.52/0.70 (define @t160 () (=> @t159 @t134)) % 0.52/0.70 (define @t161 () (not @t160)) % 0.52/0.70 (define @t162 () (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.52/0.70 (define @t163 () (= @t2 tptp.n4)) % 0.52/0.70 (define @t164 () (= @t2 tptp.n3)) % 0.52/0.70 (define @t165 () (= @t2 tptp.n2)) % 0.52/0.70 (define @t166 () (= @t2 tptp.n1)) % 0.52/0.70 (define @t167 () (= @t2 tptp.n0)) % 0.52/0.70 (define @t168 () (= @t2 tptp.n5)) % 0.52/0.70 (define @t169 () (tptp.leq @t2 tptp.n0)) % 0.52/0.70 (define @t170 () (and @t20 @t169)) % 0.52/0.70 (define @t171 () (forall @t9 (=> @t170 @t167))) % 0.52/0.70 (define @t172 () (tptp.succ tptp.n0)) % 0.52/0.70 (define @t173 () (tptp.succ @t172)) % 0.52/0.70 (define @t174 () (tptp.succ @t173)) % 0.52/0.70 (define @t175 () (tptp.succ @t174)) % 0.52/0.70 (define @t176 () (tptp.succ @t175)) % 0.52/0.70 (define @t177 () (tptp.succ @t176)) % 0.52/0.70 (define @t178 () (@var "BOUND_VARIABLE_8505" $$unsorted)) % 0.52/0.70 (define @t179 () (= (tptp.a_select3 tptp.id_ds1_filter @t57 @t178) (tptp.a_select3 tptp.id_ds1_filter @t178 @t57))) % 0.52/0.70 (define @t180 () (not (tptp.leq @t178 @t94))) % 0.52/0.70 (define @t181 () (not (tptp.leq tptp.n0 @t178))) % 0.52/0.70 (define @t182 () (not @t101)) % 0.52/0.70 (define @t183 () (not @t102)) % 0.52/0.70 (define @t184 () (or @t183 @t182 @t181 @t180 @t179)) % 0.52/0.70 (define @t185 () (or @t181 @t180 @t179)) % 0.52/0.70 (define @t186 () (or @t183 @t182 @t185)) % 0.52/0.70 (define @t187 () (@list @t57 @t178)) % 0.52/0.70 (define @t188 () (forall @t187 @t186)) % 0.52/0.70 (define @t189 () (@list @t178)) % 0.52/0.70 (define @t190 () (forall @t189 @t186)) % 0.52/0.70 (define @t191 () (forall @t189 @t185)) % 0.52/0.70 (define @t192 () (or @t183 @t182 @t191)) % 0.52/0.70 (define @t193 () (not @t95)) % 0.52/0.70 (define @t194 () (not @t96)) % 0.52/0.70 (define @t195 () (or @t194 @t193 @t93)) % 0.52/0.70 (define @t196 () (forall @t98 @t195)) % 0.52/0.70 (define @t197 () (or @t183 @t182 @t196)) % 0.52/0.70 (define @t198 () (not @t110)) % 0.52/0.70 (define @t199 () (not @t111)) % 0.52/0.70 (define @t200 () (not @t112)) % 0.52/0.70 (define @t201 () (not @t47)) % 0.52/0.70 (define @t202 () (or @t201 @t200 @t199 @t198 @t109)) % 0.52/0.70 (define @t203 () (or @t201 @t200 @t199 @t198)) % 0.52/0.70 (define @t204 () (not @t118)) % 0.52/0.70 (define @t205 () (not @t119)) % 0.52/0.70 (define @t206 () (not @t36)) % 0.52/0.70 (define @t207 () (not @t38)) % 0.52/0.70 (define @t208 () (or @t207 @t206 @t205 @t204 @t116)) % 0.52/0.70 (define @t209 () (or @t207 @t206 @t205 @t204)) % 0.52/0.70 (define @t210 () (not @t125)) % 0.52/0.70 (define @t211 () (not @t126)) % 0.52/0.70 (define @t212 () (not @t127)) % 0.52/0.70 (define @t213 () (not @t128)) % 0.52/0.70 (define @t214 () (or @t213 @t212 @t211 @t210 @t124)) % 0.52/0.70 (define @t215 () (or @t213 @t212 @t211 @t210)) % 0.52/0.70 (define @t216 () (not @t136)) % 0.52/0.70 (define @t217 () (not @t137)) % 0.52/0.70 (define @t218 () (not @t138)) % 0.52/0.70 (define @t219 () (not @t139)) % 0.52/0.70 (define @t220 () (or @t219 @t218 @t217 @t216 @t135)) % 0.52/0.70 (define @t221 () (or @t219 @t218 @t217 @t216)) % 0.52/0.70 (define @t222 () (not @t144)) % 0.52/0.70 (define @t223 () (not @t145)) % 0.52/0.70 (define @t224 () (not @t146)) % 0.52/0.70 (define @t225 () (not @t147)) % 0.52/0.70 (define @t226 () (or @t225 @t224 @t223 @t222 @t143)) % 0.52/0.70 (define @t227 () (or @t225 @t224 @t223 @t222)) % 0.52/0.70 (define @t228 () (not @t152)) % 0.52/0.70 (define @t229 () (not @t153)) % 0.52/0.70 (define @t230 () (not @t154)) % 0.52/0.70 (define @t231 () (not @t155)) % 0.52/0.70 (define @t232 () (or @t231 @t230 @t229 @t228 @t151)) % 0.52/0.70 (define @t233 () (or @t231 @t230 @t229 @t228)) % 0.52/0.70 (define @t234 () (or @t200 @t201 @t198 @t199 @t109)) % 0.52/0.70 (define @t235 () (forall @t114 @t234)) % 0.52/0.70 (define @t236 () (forall @t114 @t202)) % 0.52/0.70 (define @t237 () (or @t200 @t201 @t198 @t199 (= @t107 @t108))) % 0.52/0.70 (define @t238 () (forall @t114 @t237)) % 0.52/0.70 (define @t239 () (forall @t141 @t220)) % 0.52/0.70 (define @t240 () (@list false)) % 0.52/0.70 (define @t241 () (forall @t149 @t226)) % 0.52/0.70 (define @t242 () (forall @t40 @t208)) % 0.52/0.70 (define @t243 () (forall @t157 @t232)) % 0.52/0.70 (define @t244 () (forall @t130 @t214)) % 0.52/0.70 (define @t245 () (forall @t187 @t184)) % 0.52/0.70 (define @t246 () (@quantifiers_skolemize @t245 0)) % 0.52/0.70 (define @t247 () (@quantifiers_skolemize @t245 1)) % 0.52/0.70 (define @t248 () (tptp.a_select3 tptp.id_ds1_filter @t246 @t247)) % 0.52/0.70 (define @t249 () (= @t248 (tptp.a_select3 tptp.id_ds1_filter @t247 @t246))) % 0.52/0.70 (define @t250 () (tptp.leq @t247 @t94)) % 0.52/0.70 (define @t251 () (not @t250)) % 0.52/0.70 (define @t252 () (tptp.leq tptp.n0 @t247)) % 0.52/0.70 (define @t253 () (not @t252)) % 0.52/0.70 (define @t254 () (tptp.leq @t246 @t100)) % 0.52/0.70 (define @t255 () (not @t254)) % 0.52/0.70 (define @t256 () (tptp.leq tptp.n0 @t246)) % 0.52/0.70 (define @t257 () (not @t256)) % 0.52/0.70 (define @t258 () (or @t257 @t255 @t253 @t251 @t249)) % 0.52/0.70 (define @t259 () (@list true)) % 0.52/0.70 (define @t260 () (@list @t258)) % 0.52/0.70 (define @t261 () (not @t169)) % 0.52/0.70 (define @t262 () (not @t20)) % 0.52/0.70 (define @t263 () (or @t262 @t261 @t167)) % 0.52/0.70 (define @t264 () (tptp.leq @t246 tptp.n0)) % 0.52/0.70 (define @t265 () (not @t264)) % 0.52/0.70 (define @t266 () (or @t257 @t265 (= @t246 tptp.n0))) % 0.52/0.70 (define @t267 () (forall @t9 @t263)) % 0.52/0.70 (define @t268 () (= tptp.n0 @t246)) % 0.52/0.70 (define @t269 () (or @t257 @t265 @t268)) % 0.52/0.70 (define @t270 () (@list @t267)) % 0.52/0.70 (define @t271 () (not @t11)) % 0.52/0.70 (define @t272 () (not @t12)) % 0.52/0.70 (define @t273 () (tptp.leq tptp.tptp_minus_1 tptp.n0)) % 0.52/0.70 (define @t274 () (not @t162)) % 0.52/0.70 (define @t275 () (or @t274 @t273)) % 0.52/0.70 (define @t276 () (@list tptp.tptp_minus_1)) % 0.52/0.70 (define @t277 () (@list tptp.n0)) % 0.52/0.70 (define @t278 () (tptp.leq @t100 tptp.n0)) % 0.52/0.70 (define @t279 () (not @t278)) % 0.52/0.70 (define @t280 () (or @t255 @t279 @t264)) % 0.52/0.70 (define @t281 () (@list false false false)) % 0.52/0.70 (define @t282 () (tptp.leq @t247 tptp.n0)) % 0.52/0.70 (define @t283 () (not @t282)) % 0.52/0.70 (define @t284 () (or @t253 @t283 (= @t247 tptp.n0))) % 0.52/0.70 (define @t285 () (= tptp.n0 @t247)) % 0.52/0.70 (define @t286 () (or @t253 @t283 @t285)) % 0.52/0.70 (define @t287 () (tptp.leq tptp.n0 @t100)) % 0.52/0.70 (define @t288 () (not @t287)) % 0.52/0.70 (define @t289 () (or @t288 @t279 (= @t100 tptp.n0))) % 0.52/0.70 (define @t290 () (= tptp.n0 @t100)) % 0.52/0.70 (define @t291 () (or @t288 @t279 @t290)) % 0.52/0.70 (define @t292 () (or @t257 @t255 @t287)) % 0.52/0.70 (define @t293 () (and @t268 @t285)) % 0.52/0.70 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.52/0.70 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.52/0.70 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.52/0.70 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.52/0.70 (assume @p5 @t14) % 0.52/0.70 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.52/0.70 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.52/0.70 (assume @p8 @t15) % 0.52/0.70 (assume @p9 (forall @t6 (=> (and @t12 (not @t3)) @t4))) % 0.52/0.70 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.52/0.70 (assume @p11 (forall @t9 (tptp.gt @t16 @t2))) % 0.52/0.70 (assume @p12 (forall @t6 (=> @t12 (tptp.leq @t2 @t17)))) % 0.52/0.70 (assume @p13 (forall @t6 (= @t12 (tptp.gt @t17 @t2)))) % 0.52/0.70 (assume @p14 (forall @t21 (=> @t20 (tptp.leq @t19 @t2)))) % 0.52/0.70 (assume @p15 (forall @t21 (=> @t20 (tptp.leq tptp.n0 @t19)))) % 0.52/0.70 (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)))) % 0.52/0.70 (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)))) % 0.52/0.70 (assume @p18 (forall @t42 (=> @t41 (forall @t40 (=> @t39 (= (tptp.a_select3 @t33 @t23 @t27) (tptp.a_select3 @t33 @t27 @t23))))))) % 0.52/0.70 (assume @p19 (forall @t42 (=> @t41 (forall @t40 (=> @t39 (= (tptp.a_select3 @t43 @t23 @t27) (tptp.a_select3 @t43 @t27 @t23))))))) % 0.52/0.70 (assume @p20 (forall @t42 (=> @t41 (forall (@list @t23 @t27 @t45 @t44) (=> (and @t38 @t37 @t36 @t35 @t47 (tptp.leq @t45 @t34)) (= (tptp.a_select3 @t46 @t23 @t27) (tptp.a_select3 @t46 @t27 @t23))))))) % 0.52/0.70 (assume @p21 (forall @t53 (=> @t52 (forall @t40 (=> @t39 (= (tptp.a_select3 @t49 @t23 @t27) (tptp.a_select3 @t49 @t27 @t23))))))) % 0.52/0.70 (assume @p22 (forall @t53 (=> @t52 (forall @t40 (=> @t39 (= (tptp.a_select3 @t54 @t23 @t27) (tptp.a_select3 @t54 @t27 @t23))))))) % 0.52/0.70 (assume @p23 (forall @t53 (=> @t51 @t56))) % 0.52/0.70 (assume @p24 (forall (@list @t32 @t48 @t34 @t57) (=> (forall @t40 (=> @t58 @t50)) @t56))) % 0.52/0.70 (assume @p25 (forall (@list @t32 @t48 @t18 @t61 @t59 @t60 @t34 @t57) (=> (and (forall @t40 (=> @t58 (= (tptp.a_select3 @t61 @t23 @t27) (tptp.a_select3 @t61 @t27 @t23)))) @t41 (forall @t40 (=> @t39 (= (tptp.a_select3 @t60 @t23 @t27) (tptp.a_select3 @t60 @t27 @t23))))) (forall @t40 (=> @t39 (= (tptp.a_select3 @t62 @t23 @t27) (tptp.a_select3 @t62 @t27 @t23))))))) % 0.52/0.70 (assume @p26 (forall @t65 (= @t64 tptp.n0))) % 0.52/0.70 (assume @p27 (forall @t65 (= tptp.tptp_float_0_0 @t64))) % 0.52/0.70 (assume @p28 (= @t66 tptp.n0)) % 0.52/0.70 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t16))) % 0.52/0.70 (assume @p30 @t68) % 0.52/0.70 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t69))) % 0.52/0.70 (assume @p32 @t71) % 0.52/0.70 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t72))) % 0.52/0.70 (assume @p34 @t74) % 0.52/0.70 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t75))) % 0.52/0.70 (assume @p36 @t77) % 0.52/0.70 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t78))) % 0.52/0.70 (assume @p38 @t80) % 0.52/0.70 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t81))) % 0.52/0.70 (assume @p40 @t83) % 0.52/0.70 (assume @p41 (forall @t9 (= (tptp.succ @t81) @t2))) % 0.52/0.70 (assume @p42 (forall @t6 (= (tptp.leq @t16 @t17) @t12))) % 0.52/0.70 (assume @p43 (forall @t6 (=> (tptp.leq @t16 @t1) @t4))) % 0.52/0.70 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.52/0.70 (assume @p45 (forall (@list @t2 @t24 @t84 @t44) (= (tptp.a_select3 @t85 @t24 @t84) @t44))) % 0.52/0.70 (assume @p46 (forall (@list @t23 @t27 @t24 @t84 @t2 @t44 @t86) (=> (and @t87 (= @t27 @t84) (= (tptp.a_select3 @t2 @t24 @t84) @t44)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t23 @t27 @t86) @t24 @t84) @t44)))) % 0.52/0.70 (assume @p47 (forall (@list @t23 @t27 @t24 @t84 @t2 @t44) (=> (and (forall (@list @t89 @t88) (=> (and @t91 (tptp.leq tptp.n0 @t88) @t90 (tptp.leq @t88 @t84)) (= (tptp.a_select3 @t2 @t89 @t88) @t44))) @t38 @t26 @t36 (tptp.leq @t27 @t84)) (= (tptp.a_select3 @t85 @t23 @t27) @t44)))) % 0.52/0.70 (assume @p48 (forall (@list @t2 @t24 @t44) (= (tptp.a_select2 @t92 @t24) @t44))) % 0.52/0.70 (assume @p49 (forall (@list @t23 @t24 @t2 @t44 @t86) (=> (and @t87 (= (tptp.a_select2 @t2 @t24) @t44)) (= (tptp.a_select2 (tptp.tptp_update2 @t2 @t23 @t86) @t24) @t44)))) % 0.52/0.70 (assume @p50 (forall (@list @t23 @t24 @t2 @t44) (=> (and (forall (@list @t89) (=> (and @t91 @t90) (= (tptp.a_select2 @t2 @t89) @t44))) @t38 @t26) (= (tptp.a_select2 @t92 @t23) @t44)))) % 0.52/0.70 (assume @p51 tptp.true) % 0.52/0.70 (assume @p52 (not (= tptp.def tptp.use))) % 0.52/0.70 (assume @p53 @t161) % 0.52/0.70 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.52/0.70 (assume @p55 (tptp.gt tptp.n6 tptp.n4)) % 0.52/0.70 (assume @p56 (tptp.gt tptp.n999 tptp.n4)) % 0.52/0.70 (assume @p57 (tptp.gt tptp.n6 tptp.n5)) % 0.52/0.70 (assume @p58 (tptp.gt tptp.n999 tptp.n5)) % 0.52/0.70 (assume @p59 (tptp.gt tptp.n999 tptp.n6)) % 0.52/0.70 (assume @p60 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.52/0.70 (assume @p61 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.52/0.70 (assume @p62 (tptp.gt tptp.n6 tptp.tptp_minus_1)) % 0.52/0.70 (assume @p63 (tptp.gt tptp.n999 tptp.tptp_minus_1)) % 0.52/0.70 (assume @p64 @t162) % 0.52/0.70 (assume @p65 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.52/0.70 (assume @p66 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.52/0.70 (assume @p67 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.52/0.70 (assume @p68 (tptp.gt tptp.n4 tptp.n0)) % 0.52/0.70 (assume @p69 (tptp.gt tptp.n5 tptp.n0)) % 0.52/0.70 (assume @p70 (tptp.gt tptp.n6 tptp.n0)) % 0.52/0.70 (assume @p71 (tptp.gt tptp.n999 tptp.n0)) % 0.52/0.70 (assume @p72 (tptp.gt tptp.n1 tptp.n0)) % 0.52/0.70 (assume @p73 (tptp.gt tptp.n2 tptp.n0)) % 0.52/0.70 (assume @p74 (tptp.gt tptp.n3 tptp.n0)) % 0.52/0.70 (assume @p75 (tptp.gt tptp.n4 tptp.n1)) % 0.52/0.70 (assume @p76 (tptp.gt tptp.n5 tptp.n1)) % 0.52/0.70 (assume @p77 (tptp.gt tptp.n6 tptp.n1)) % 0.52/0.70 (assume @p78 (tptp.gt tptp.n999 tptp.n1)) % 0.52/0.70 (assume @p79 (tptp.gt tptp.n2 tptp.n1)) % 0.52/0.70 (assume @p80 (tptp.gt tptp.n3 tptp.n1)) % 0.52/0.70 (assume @p81 (tptp.gt tptp.n4 tptp.n2)) % 0.52/0.70 (assume @p82 (tptp.gt tptp.n5 tptp.n2)) % 0.52/0.70 (assume @p83 (tptp.gt tptp.n6 tptp.n2)) % 0.52/0.70 (assume @p84 (tptp.gt tptp.n999 tptp.n2)) % 0.52/0.70 (assume @p85 (tptp.gt tptp.n3 tptp.n2)) % 0.52/0.70 (assume @p86 (tptp.gt tptp.n4 tptp.n3)) % 0.52/0.70 (assume @p87 (tptp.gt tptp.n5 tptp.n3)) % 0.52/0.70 (assume @p88 (tptp.gt tptp.n6 tptp.n3)) % 0.52/0.70 (assume @p89 (tptp.gt tptp.n999 tptp.n3)) % 0.52/0.70 (assume @p90 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n4)) (or @t167 @t166 @t165 @t164 @t163)))) % 0.52/0.70 (assume @p91 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n5)) (or @t167 @t166 @t165 @t164 @t163 @t168)))) % 0.52/0.70 (assume @p92 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n6)) (or @t167 @t166 @t165 @t164 @t163 @t168 (= @t2 tptp.n6))))) % 0.52/0.70 (assume @p93 @t171) % 0.52/0.70 (assume @p94 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n1)) (or @t167 @t166)))) % 0.52/0.70 (assume @p95 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n2)) (or @t167 @t166 @t165)))) % 0.52/0.70 (assume @p96 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n3)) (or @t167 @t166 @t165 @t164)))) % 0.52/0.70 (assume @p97 (= @t175 tptp.n4)) % 0.52/0.70 (assume @p98 (= @t176 tptp.n5)) % 0.52/0.70 (assume @p99 (= @t177 tptp.n6)) % 0.52/0.70 (assume @p100 (= @t172 tptp.n1)) % 0.52/0.70 (assume @p101 (= @t173 tptp.n2)) % 0.52/0.70 (assume @p102 (= @t174 tptp.n3)) % 0.52/0.70 (assume @p103 true) % 0.52/0.70 (step @p104 :rule aci_norm :args ((= @t186 @t184))) % 0.52/0.70 (step @p105 :rule cong :premises (@p104) :args (@t188)) % 0.52/0.70 (step @p106 :rule quant-merge-prenex :args ((= (forall @t105 @t190) @t188))) % 0.52/0.70 (step @p107 :rule alpha_equiv :args (@t191 (@list @t178) (@list @t34))) % 0.52/0.70 (step @p108 :rule refl :args (@t182)) % 0.52/0.70 (step @p109 :rule refl :args (@t183)) % 0.52/0.70 (step @p110 :rule nary_cong :premises (@p109 @p108 @p107) :args (@t192)) % 0.52/0.70 (step @p111 :rule quant-miniscope-or :args ((= @t190 @t192))) % 0.52/0.70 (step @p112 :rule trans :premises (@p111 @p110)) % 0.52/0.70 (step @p113 :rule symm :premises (@p112)) % 0.52/0.70 (step @p114 :rule cong :premises (@p113) :args ((forall @t105 @t197))) % 0.52/0.70 (step @p115 :rule trans :premises (@p114 @p106)) % 0.52/0.70 (step @p116 :rule trans :premises (@p115 @p105)) % 0.52/0.70 (step @p117 :rule aci_norm :args ((= (or (or @t183 @t182) @t196) @t197))) % 0.52/0.70 (step @p118 :rule refl :args (@t196)) % 0.52/0.70 (step @p119 :rule bool-and-de-morgan :args (@t102 @t101 true)) % 0.52/0.70 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or (not @t103) @t196))) % 0.52/0.70 (step @p121 :rule trans :premises (@p120 @p117)) % 0.52/0.70 (step @p122 :rule bool-impl-elim :args (@t103 @t196)) 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@t259 @t260)) % 0.52/0.70 (step @p357 :rule cnf_or_pos :args (@t280)) % 0.52/0.70 (step @p358 :rule reordering :premises (@p357) :args ((or @t255 @t279 @t264 (not @t280)))) % 0.52/0.70 (step @p359 :rule chain_m_resolution :premises (@p358 @p356 @p349 @p328) :args (@t264 @t281 (@list @t254 @t278 @t280))) % 0.52/0.70 (step @p360 :rule bool-double-not-elim :args (@t256)) % 0.52/0.70 (step @p361 :rule nary_cong :premises (@p351 @p360) :args ((or @t258 (not @t257)))) % 0.52/0.70 (step @p362 :rule cnf_or_neg :args (@t258 0)) % 0.52/0.70 (step @p363 :rule eq_resolve :premises (@p362 @p361)) % 0.52/0.70 (step @p364 :rule reordering :premises (@p363) :args ((or @t256 @t258))) % 0.52/0.70 (step @p365 :rule chain_m_resolution :premises (@p364 @p294) :args (@t256 @t259 @t260)) % 0.52/0.70 (step @p366 :rule cnf_or_pos :args (@t269)) % 0.52/0.70 (step @p367 :rule reordering :premises (@p366) :args ((or @t257 @t268 @t265 (not @t269)))) % 0.52/0.70 (step @p368 :rule chain_m_resolution :premises (@p367 @p365 @p359 @p318) :args (@t268 @t281 (@list @t256 @t264 @t269))) % 0.52/0.70 (step @p369 :rule eq-symm :args (@t247 tptp.n0)) % 0.52/0.70 (step @p370 :rule refl :args (@t283)) % 0.52/0.70 (step @p371 :rule refl :args (@t253)) % 0.52/0.70 (step @p372 :rule nary_cong :premises (@p371 @p370 @p369) :args (@t284)) % 0.52/0.70 (step @p373 :rule cong :premises (@p310 @p372) :args ((=> @t267 @t284))) % 0.52/0.70 (assume-push @p496 @t267) % 0.52/0.70 (step @p375 :rule instantiate :premises (@p305) :args ((@list @t247))) % 0.52/0.70 (step-pop @p497 :rule scope :premises (@p375)) % 0.52/0.70 (step @p376 :rule process_scope :premises (@p497) :args (@t284)) % 0.52/0.70 (step @p378 :rule eq_resolve :premises (@p376 @p373)) % 0.52/0.70 (step @p379 :rule implies_elim :premises (@p378)) % 0.52/0.70 (step @p380 :rule chain_m_resolution :premises (@p379 @p305) :args (@t286 @t240 @t270)) % 0.52/0.70 (step @p381 :rule bool-double-not-elim :args (@t250)) % 0.52/0.70 (step @p382 :rule nary_cong :premises (@p351 @p381) :args ((or @t258 (not @t251)))) % 0.52/0.70 (step @p383 :rule cnf_or_neg :args (@t258 3)) % 0.52/0.70 (step @p384 :rule eq_resolve :premises (@p383 @p382)) % 0.52/0.70 (step @p385 :rule reordering :premises (@p384) :args ((or @t250 @t258))) % 0.52/0.70 (step @p386 :rule chain_m_resolution :premises (@p385 @p294) :args (@t250 @t259 @t260)) % 0.52/0.70 (step @p387 :rule true_intro :premises (@p386)) % 0.52/0.70 (step @p388 :rule instantiate :premises (@p39) :args ((@list tptp.n6))) % 0.52/0.70 (step @p389 :rule symm :premises (@p388)) % 0.52/0.70 (step @p390 :rule cong :premises (@p99) :args ((tptp.pred @t177))) % 0.52/0.70 (step @p391 :rule instantiate :premises (@p340) :args ((@list @t176))) % 0.52/0.70 (step @p392 :rule symm :premises (@p98)) % 0.52/0.70 (step @p393 :rule trans :premises (@p392 @p391 @p390 @p389)) % 0.52/0.70 (step @p394 :rule refl :args (@t247)) % 0.52/0.70 (step @p395 :rule cong :premises (@p394 @p393) :args ((tptp.leq @t247 tptp.n5))) % 0.52/0.70 (step @p396 :rule eq-symm :args (@t79 @t78)) % 0.52/0.70 (step @p397 :rule cong :premises (@p396) :args (@t80)) % 0.52/0.70 (step @p398 :rule eq_resolve :premises (@p38 @p397)) % 0.52/0.70 (step @p399 :rule instantiate :premises (@p398) :args (@t277)) % 0.52/0.70 (step @p400 :rule symm :premises (@p399)) % 0.52/0.70 (step @p401 :rule eq-symm :args (@t100 tptp.n0)) % 0.52/0.70 (step @p402 :rule refl :args (@t279)) % 0.52/0.70 (step @p403 :rule refl :args (@t288)) % 0.52/0.70 (step @p404 :rule nary_cong :premises (@p403 @p402 @p401) :args (@t289)) % 0.52/0.70 (step @p405 :rule cong :premises (@p310 @p404) :args ((=> @t267 @t289))) % 0.52/0.70 (assume-push @p498 @t267) % 0.52/0.70 (step @p407 :rule instantiate :premises (@p305) :args ((@list @t100))) % 0.52/0.70 (step-pop @p499 :rule scope :premises (@p407)) % 0.52/0.70 (step @p408 :rule process_scope :premises (@p499) :args (@t289)) % 0.52/0.70 (step @p410 :rule eq_resolve :premises (@p408 @p405)) % 0.52/0.70 (step @p411 :rule implies_elim :premises (@p410)) % 0.52/0.70 (step @p412 :rule chain_m_resolution :premises (@p411 @p305) :args (@t291 @t240 @t270)) % 0.52/0.70 (step @p413 :rule instantiate :premises (@p327) :args ((@list tptp.n0 @t246 @t100))) % 0.52/0.70 (step @p414 :rule cnf_or_pos :args (@t292)) % 0.52/0.70 (step @p415 :rule reordering :premises (@p414) :args ((or @t257 @t255 @t287 (not @t292)))) % 0.52/0.70 (step @p416 :rule chain_m_resolution :premises (@p415 @p365 @p356 @p413) :args (@t287 @t281 (@list @t256 @t254 @t292))) % 0.52/0.70 (step @p417 :rule cnf_or_pos :args (@t291)) % 0.52/0.70 (step @p418 :rule reordering :premises (@p417) :args ((or @t279 @t288 @t290 (not @t291)))) % 0.52/0.70 (step @p419 :rule chain_m_resolution :premises (@p418 @p349 @p416 @p412) :args (@t290 @t281 (@list @t278 @t287 @t291))) % 0.52/0.70 (step @p420 :rule symm :premises (@p419)) % 0.52/0.70 (step @p421 :rule symm :premises (@p345)) % 0.52/0.70 (step @p422 :rule cong :premises (@p28) :args ((tptp.pred @t66))) % 0.52/0.70 (step @p423 :rule trans :premises (@p341 @p422 @p421 @p420)) % 0.52/0.70 (step @p424 :rule refl :args (tptp.n5)) % 0.52/0.70 (step @p425 :rule cong :premises (@p424 @p423) :args ((tptp.plus tptp.n5 tptp.tptp_minus_1))) % 0.52/0.70 (step @p426 :rule instantiate :premises (@p398) :args (@t276)) % 0.52/0.70 (step @p427 :rule cong :premises (@p343) :args (@t172)) % 0.52/0.70 (step @p428 :rule cong :premises (@p427) :args (@t173)) % 0.52/0.70 (step @p429 :rule cong :premises (@p428) :args (@t174)) % 0.52/0.70 (step @p430 :rule cong :premises (@p429) :args (@t175)) % 0.52/0.70 (step @p431 :rule symm :premises (@p97)) % 0.52/0.70 (step @p432 :rule trans :premises (@p431 @p430 @p426 @p425 @p400 @p98)) % 0.52/0.70 (step @p433 :rule cong :premises (@p394 @p432) :args ((tptp.leq @t247 tptp.n4))) % 0.52/0.70 (step @p434 :rule eq-symm :args (@t76 @t75)) % 0.52/0.70 (step @p435 :rule cong :premises (@p434) :args (@t77)) % 0.52/0.70 (step @p436 :rule eq_resolve :premises (@p36 @p435)) % 0.52/0.70 (step @p437 :rule instantiate :premises (@p436) :args (@t277)) % 0.52/0.70 (step @p438 :rule symm :premises (@p437)) % 0.52/0.70 (step @p439 :rule refl :args (tptp.n4)) % 0.52/0.70 (step @p440 :rule cong :premises (@p439 @p423) :args ((tptp.plus tptp.n4 tptp.tptp_minus_1))) % 0.52/0.70 (step @p441 :rule instantiate :premises (@p436) :args (@t276)) % 0.52/0.70 (step @p442 :rule eq-symm :args (@t73 @t72)) % 0.52/0.70 (step @p443 :rule cong :premises (@p442) :args (@t74)) % 0.52/0.70 (step @p444 :rule eq_resolve :premises (@p34 @p443)) % 0.52/0.70 (step @p445 :rule instantiate :premises (@p444) :args (@t277)) % 0.52/0.70 (step @p446 :rule symm :premises (@p445)) % 0.52/0.70 (step @p447 :rule refl :args (tptp.n3)) % 0.52/0.70 (step @p448 :rule cong :premises (@p447 @p423) :args ((tptp.plus tptp.n3 tptp.tptp_minus_1))) % 0.52/0.70 (step @p449 :rule instantiate :premises (@p444) :args (@t276)) % 0.52/0.70 (step @p450 :rule eq-symm :args (@t70 @t69)) % 0.52/0.70 (step @p451 :rule cong :premises (@p450) :args (@t71)) % 0.52/0.70 (step @p452 :rule eq_resolve :premises (@p32 @p451)) % 0.52/0.70 (step @p453 :rule instantiate :premises (@p452) :args (@t277)) % 0.52/0.70 (step @p454 :rule symm :premises (@p453)) % 0.52/0.70 (step @p455 :rule refl :args (tptp.n2)) % 0.52/0.70 (step @p456 :rule cong :premises (@p455 @p423) :args ((tptp.plus tptp.n2 tptp.tptp_minus_1))) % 0.52/0.70 (step @p457 :rule instantiate :premises (@p452) :args (@t276)) % 0.52/0.70 (step @p458 :rule eq-symm :args (@t67 @t16)) % 0.52/0.70 (step @p459 :rule cong :premises (@p458) :args (@t68)) % 0.52/0.70 (step @p460 :rule eq_resolve :premises (@p30 @p459)) % 0.52/0.70 (step @p461 :rule instantiate :premises (@p460) :args (@t277)) % 0.52/0.70 (step @p462 :rule symm :premises (@p461)) % 0.52/0.70 (step @p463 :rule refl :args (tptp.n1)) % 0.52/0.70 (step @p464 :rule cong :premises (@p463 @p423) :args ((tptp.plus tptp.n1 tptp.tptp_minus_1))) % 0.52/0.70 (step @p465 :rule instantiate :premises (@p460) :args (@t276)) % 0.52/0.70 (step @p466 :rule trans :premises (@p343 @p465 @p464 @p462 @p427 @p457 @p456 @p454 @p428 @p449 @p448 @p446 @p429 @p441 @p440 @p438 @p97)) % 0.52/0.70 (step @p467 :rule cong :premises (@p394 @p466) :args (@t282)) % 0.52/0.70 (step @p468 :rule trans :premises (@p467 @p433 @p395 @p387)) % 0.52/0.70 (step @p469 :rule true_elim :premises (@p468)) % 0.52/0.70 (step @p470 :rule bool-double-not-elim :args (@t252)) % 0.52/0.70 (step @p471 :rule nary_cong :premises (@p351 @p470) :args ((or @t258 (not @t253)))) % 0.52/0.70 (step @p472 :rule cnf_or_neg :args (@t258 2)) % 0.52/0.70 (step @p473 :rule eq_resolve :premises (@p472 @p471)) % 0.52/0.70 (step @p474 :rule reordering :premises (@p473) :args ((or @t252 @t258))) % 0.52/0.70 (step @p475 :rule chain_m_resolution :premises (@p474 @p294) :args (@t252 @t259 @t260)) % 0.52/0.70 (step @p476 :rule cnf_or_pos :args (@t286)) % 0.52/0.70 (step @p477 :rule reordering :premises (@p476) :args ((or @t253 @t285 @t283 (not @t286)))) % 0.52/0.70 (step @p478 :rule chain_m_resolution :premises (@p477 @p475 @p469 @p380) :args (@t285 @t281 (@list @t252 @t282 @t286))) % 0.52/0.70 (assume-push @p500 @t268) % 0.52/0.70 (assume-push @p501 @t285) % 0.52/0.70 (step @p481 :rule symm :premises (@p478)) % 0.52/0.70 (step @p482 :rule trans :premises (@p481 @p368)) % 0.52/0.70 (step @p483 :rule symm :premises (@p482)) % 0.52/0.70 (step @p484 :rule refl :args (tptp.id_ds1_filter)) % 0.52/0.70 (step @p485 :rule cong :premises (@p484 @p483 @p482) :args (@t248)) % 0.52/0.70 (step-pop @p502 :rule scope :premises (@p485)) % 0.52/0.70 (step-pop @p503 :rule scope :premises (@p502)) % 0.52/0.70 (step @p486 :rule process_scope :premises (@p503) :args (@t249)) % 0.52/0.70 (step @p489 :rule implies_elim :premises (@p486)) % 0.52/0.70 (step @p490 :rule cnf_and_neg :args (@t293)) % 0.52/0.70 (step @p491 :rule resolution :premises (@p490 @p489) :args (true @t293)) % 0.52/0.70 (step @p492 :rule reordering :premises (@p491) :args ((or @t249 (not @t268) (not @t285)))) % 0.52/0.70 (step @p493 false :rule chain_m_resolution :premises (@p492 @p478 @p368 @p296) :args (false (@list false false true) (@list @t285 @t268 @t249))) % 0.52/0.70 ) % 0.52/0.70 % SZS output end Proof % 0.52/0.70 % cvc5 exiting %------------------------------------------------------------------------------