%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV089+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 : n024.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:00:30 AM UTC 2026 % Result : Theorem 0.35s 0.57s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWV089+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n024.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 14:54:45 EDT 2026 % 0.06/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.57 % SZS status Theorem % 0.35/0.57 % SZS output start Proof % 0.35/0.57 ( % 0.35/0.57 (declare-sort $$unsorted 0) % 0.35/0.57 (declare-const tptp.u_defuse $$unsorted) % 0.35/0.57 (declare-const tptp.def $$unsorted) % 0.35/0.57 (declare-const tptp.use $$unsorted) % 0.35/0.57 (declare-const tptp.true Bool) % 0.35/0.57 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.n3 $$unsorted) % 0.35/0.57 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.35/0.57 (declare-const tptp.n0 $$unsorted) % 0.35/0.57 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.n1 $$unsorted) % 0.35/0.57 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.n5 $$unsorted) % 0.35/0.57 (declare-const tptp.xinit_defuse $$unsorted) % 0.35/0.57 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.35/0.57 (declare-const tptp.n4 $$unsorted) % 0.35/0.57 (declare-const tptp.n2 $$unsorted) % 0.35/0.57 (define @t1 () (@var "Y" $$unsorted)) % 0.35/0.57 (define @t2 () (@var "X" $$unsorted)) % 0.35/0.57 (define @t3 () (= @t2 @t1)) % 0.35/0.57 (define @t4 () (tptp.gt @t1 @t2)) % 0.35/0.57 (define @t5 () (tptp.gt @t2 @t1)) % 0.35/0.57 (define @t6 () (@list @t2 @t1)) % 0.35/0.57 (define @t7 () (@var "Z" $$unsorted)) % 0.35/0.57 (define @t8 () (@list @t2 @t1 @t7)) % 0.35/0.57 (define @t9 () (@list @t2)) % 0.35/0.57 (define @t10 () (tptp.leq @t2 @t1)) % 0.35/0.57 (define @t11 () (tptp.lt @t2 @t1)) % 0.35/0.57 (define @t12 () (forall @t6 (= @t11 @t4))) % 0.35/0.57 (define @t13 () (forall @t6 (=> @t4 @t10))) % 0.35/0.57 (define @t14 () (tptp.succ @t2)) % 0.35/0.57 (define @t15 () (tptp.succ @t1)) % 0.35/0.57 (define @t16 () (@var "C" $$unsorted)) % 0.35/0.57 (define @t17 () (tptp.uniform_int_rnd @t16 @t2)) % 0.35/0.57 (define @t18 () (tptp.leq tptp.n0 @t2)) % 0.35/0.57 (define @t19 () (@list @t2 @t16)) % 0.35/0.57 (define @t20 () (@var "Val" $$unsorted)) % 0.35/0.57 (define @t21 () (@var "I" $$unsorted)) % 0.35/0.57 (define @t22 () (@var "U" $$unsorted)) % 0.35/0.57 (define @t23 () (@var "L" $$unsorted)) % 0.35/0.57 (define @t24 () (tptp.leq @t21 @t22)) % 0.35/0.57 (define @t25 () (@var "J" $$unsorted)) % 0.35/0.57 (define @t26 () (@var "U2" $$unsorted)) % 0.35/0.57 (define @t27 () (@var "L2" $$unsorted)) % 0.35/0.57 (define @t28 () (@var "U1" $$unsorted)) % 0.35/0.57 (define @t29 () (@var "L1" $$unsorted)) % 0.35/0.57 (define @t30 () (@var "A" $$unsorted)) % 0.35/0.57 (define @t31 () (tptp.trans @t30)) % 0.35/0.57 (define @t32 () (@var "N" $$unsorted)) % 0.35/0.57 (define @t33 () (tptp.leq @t25 @t32)) % 0.35/0.57 (define @t34 () (tptp.leq tptp.n0 @t25)) % 0.35/0.57 (define @t35 () (tptp.leq @t21 @t32)) % 0.35/0.57 (define @t36 () (tptp.leq tptp.n0 @t21)) % 0.35/0.57 (define @t37 () (and @t36 @t35 @t34 @t33)) % 0.35/0.57 (define @t38 () (@list @t21 @t25)) % 0.35/0.57 (define @t39 () (forall @t38 (=> @t37 (= (tptp.a_select3 @t30 @t21 @t25) (tptp.a_select3 @t30 @t25 @t21))))) % 0.35/0.57 (define @t40 () (@list @t30 @t32)) % 0.35/0.57 (define @t41 () (tptp.inv @t30)) % 0.35/0.57 (define @t42 () (@var "VAL" $$unsorted)) % 0.35/0.57 (define @t43 () (@var "K" $$unsorted)) % 0.35/0.57 (define @t44 () (tptp.tptp_update3 @t30 @t43 @t43 @t42)) % 0.35/0.57 (define @t45 () (@var "B" $$unsorted)) % 0.35/0.57 (define @t46 () (tptp.tptp_madd @t30 @t45)) % 0.35/0.57 (define @t47 () (= (tptp.a_select3 @t45 @t21 @t25) (tptp.a_select3 @t45 @t25 @t21))) % 0.35/0.57 (define @t48 () (forall @t38 (=> @t37 @t47))) % 0.35/0.57 (define @t49 () (and @t39 @t48)) % 0.35/0.57 (define @t50 () (@list @t30 @t45 @t32)) % 0.35/0.57 (define @t51 () (tptp.tptp_msub @t30 @t45)) % 0.35/0.57 (define @t52 () (tptp.tptp_mmul @t30 (tptp.tptp_mmul @t45 @t31))) % 0.35/0.57 (define @t53 () (forall @t38 (=> @t37 (= (tptp.a_select3 @t52 @t21 @t25) (tptp.a_select3 @t52 @t25 @t21))))) % 0.35/0.57 (define @t54 () (@var "M" $$unsorted)) % 0.35/0.57 (define @t55 () (and @t36 (tptp.leq @t21 @t54) @t34 (tptp.leq @t25 @t54))) % 0.35/0.57 (define @t56 () (@var "E" $$unsorted)) % 0.35/0.57 (define @t57 () (@var "F" $$unsorted)) % 0.35/0.57 (define @t58 () (@var "D" $$unsorted)) % 0.35/0.57 (define @t59 () (tptp.tptp_madd @t30 (tptp.tptp_mmul @t45 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t16 (tptp.tptp_mmul @t58 (tptp.trans @t16))) (tptp.tptp_mmul @t56 (tptp.tptp_mmul @t57 (tptp.trans @t56)))) (tptp.trans @t45))))) % 0.35/0.57 (define @t60 () (@var "Body" $$unsorted)) % 0.35/0.57 (define @t61 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t60)) % 0.35/0.57 (define @t62 () (@list @t60)) % 0.35/0.57 (define @t63 () (tptp.succ @t14)) % 0.35/0.57 (define @t64 () (forall @t9 (= (tptp.plus @t2 tptp.n2) @t63))) % 0.35/0.57 (define @t65 () (tptp.succ @t63)) % 0.35/0.57 (define @t66 () (tptp.plus tptp.n3 @t2)) % 0.35/0.57 (define @t67 () (forall @t9 (= @t66 @t65))) % 0.35/0.57 (define @t68 () (tptp.succ @t65)) % 0.35/0.57 (define @t69 () (tptp.succ @t68)) % 0.35/0.57 (define @t70 () (tptp.pred @t2)) % 0.35/0.57 (define @t71 () (tptp.pred @t14)) % 0.35/0.57 (define @t72 () (forall @t9 (= @t71 @t2))) % 0.35/0.57 (define @t73 () (tptp.leq @t14 @t15)) % 0.35/0.57 (define @t74 () (forall @t6 (= @t73 @t10))) % 0.35/0.57 (define @t75 () (@var "V" $$unsorted)) % 0.35/0.57 (define @t76 () (tptp.tptp_update3 @t2 @t22 @t75 @t42)) % 0.35/0.57 (define @t77 () (tptp.a_select3 @t76 @t22 @t75)) % 0.35/0.57 (define @t78 () (forall (@list @t2 @t22 @t75 @t42) (= @t77 @t42))) % 0.35/0.57 (define @t79 () (@var "VAL2" $$unsorted)) % 0.35/0.57 (define @t80 () (tptp.a_select3 (tptp.tptp_update3 @t2 @t21 @t25 @t79) @t22 @t75)) % 0.35/0.57 (define @t81 () (tptp.a_select3 @t2 @t22 @t75)) % 0.35/0.57 (define @t82 () (= @t25 @t75)) % 0.35/0.57 (define @t83 () (= @t21 @t22)) % 0.35/0.57 (define @t84 () (not @t83)) % 0.35/0.57 (define @t85 () (and @t84 @t82 (= @t81 @t42))) % 0.35/0.57 (define @t86 () (=> @t85 (= @t80 @t42))) % 0.35/0.57 (define @t87 () (@list @t21 @t25 @t22 @t75 @t2 @t42 @t79)) % 0.35/0.57 (define @t88 () (forall @t87 @t86)) % 0.35/0.57 (define @t89 () (@var "J0" $$unsorted)) % 0.35/0.57 (define @t90 () (@var "I0" $$unsorted)) % 0.35/0.57 (define @t91 () (tptp.leq @t90 @t22)) % 0.35/0.57 (define @t92 () (tptp.leq tptp.n0 @t90)) % 0.35/0.57 (define @t93 () (tptp.tptp_update2 @t2 @t22 @t42)) % 0.35/0.57 (define @t94 () (tptp.a_select2 @t93 @t22)) % 0.35/0.57 (define @t95 () (forall (@list @t2 @t22 @t42) (= @t94 @t42))) % 0.35/0.57 (define @t96 () (tptp.a_select2 (tptp.tptp_update2 @t2 @t21 @t79) @t22)) % 0.35/0.57 (define @t97 () (tptp.a_select2 @t2 @t22)) % 0.35/0.57 (define @t98 () (and @t84 (= @t97 @t42))) % 0.35/0.57 (define @t99 () (=> @t98 (= @t96 @t42))) % 0.35/0.57 (define @t100 () (@list @t21 @t22 @t2 @t42 @t79)) % 0.35/0.57 (define @t101 () (forall @t100 @t99)) % 0.35/0.57 (define @t102 () (tptp.tptp_update2 (tptp.tptp_update2 tptp.xinit_defuse tptp.n5 tptp.use) tptp.n4 tptp.use)) % 0.35/0.57 (define @t103 () (tptp.tptp_update2 @t102 tptp.n5 tptp.use)) % 0.35/0.57 (define @t104 () (tptp.tptp_update2 @t103 tptp.n3 tptp.use)) % 0.35/0.57 (define @t105 () (tptp.tptp_update2 @t104 tptp.n4 tptp.use)) % 0.35/0.57 (define @t106 () (tptp.tptp_update2 @t105 tptp.n3 tptp.use)) % 0.35/0.57 (define @t107 () (tptp.a_select2 @t106 tptp.n5)) % 0.35/0.57 (define @t108 () (tptp.a_select2 @t106 tptp.n4)) % 0.35/0.57 (define @t109 () (tptp.a_select2 @t106 tptp.n3)) % 0.35/0.57 (define @t110 () (tptp.tptp_update3 tptp.u_defuse tptp.n2 tptp.n0 tptp.use)) % 0.35/0.57 (define @t111 () (tptp.tptp_update3 @t110 tptp.n1 tptp.n0 tptp.use)) % 0.35/0.57 (define @t112 () (tptp.tptp_update3 @t111 tptp.n2 tptp.n0 tptp.use)) % 0.35/0.57 (define @t113 () (tptp.tptp_update3 @t112 tptp.n0 tptp.n0 tptp.use)) % 0.35/0.57 (define @t114 () (tptp.tptp_update3 @t113 tptp.n1 tptp.n0 tptp.use)) % 0.35/0.57 (define @t115 () (tptp.tptp_update3 @t114 tptp.n0 tptp.n0 tptp.use)) % 0.35/0.57 (define @t116 () (tptp.a_select3 @t115 tptp.n2 tptp.n0)) % 0.35/0.57 (define @t117 () (tptp.a_select3 @t115 tptp.n1 tptp.n0)) % 0.35/0.57 (define @t118 () (tptp.a_select3 @t115 tptp.n0 tptp.n0)) % 0.35/0.57 (define @t119 () (and (= @t118 tptp.use) (= @t117 tptp.use) (= @t116 tptp.use) (= @t109 tptp.use) (= @t108 tptp.use) (= @t107 tptp.use))) % 0.35/0.57 (define @t120 () (=> tptp.true @t119)) % 0.35/0.57 (define @t121 () (not @t120)) % 0.35/0.57 (define @t122 () (tptp.gt tptp.n5 tptp.n4)) % 0.35/0.57 (define @t123 () (= @t2 tptp.n4)) % 0.35/0.57 (define @t124 () (= @t2 tptp.n3)) % 0.35/0.57 (define @t125 () (= @t2 tptp.n2)) % 0.35/0.57 (define @t126 () (= @t2 tptp.n1)) % 0.35/0.57 (define @t127 () (= @t2 tptp.n0)) % 0.35/0.57 (define @t128 () (tptp.succ tptp.n0)) % 0.35/0.57 (define @t129 () (tptp.succ @t128)) % 0.35/0.57 (define @t130 () (tptp.succ @t129)) % 0.35/0.57 (define @t131 () (tptp.succ @t130)) % 0.35/0.57 (define @t132 () (tptp.succ @t131)) % 0.35/0.57 (define @t133 () (@list tptp.n0)) % 0.35/0.57 (define @t134 () (tptp.plus @t130 tptp.n2)) % 0.35/0.57 (define @t135 () (= @t134 @t132)) % 0.35/0.57 (define @t136 () (@list @t130)) % 0.35/0.57 (define @t137 () (= @t132 @t134)) % 0.35/0.57 (define @t138 () (@list false)) % 0.35/0.57 (define @t139 () (@list tptp.n4 tptp.n5)) % 0.35/0.57 (define @t140 () (tptp.leq tptp.n4 tptp.n5)) % 0.35/0.57 (define @t141 () (not @t122)) % 0.35/0.57 (define @t142 () (or @t141 @t140)) % 0.35/0.57 (define @t143 () (@list false false)) % 0.35/0.57 (define @t144 () (@list @t130 @t129)) % 0.35/0.57 (define @t145 () (tptp.gt @t130 @t130)) % 0.35/0.57 (define @t146 () (tptp.leq @t130 @t129)) % 0.35/0.57 (define @t147 () (= @t146 @t145)) % 0.35/0.57 (define @t148 () (not @t146)) % 0.35/0.57 (define @t149 () (@list true false)) % 0.35/0.57 (define @t150 () (tptp.leq @t131 @t130)) % 0.35/0.57 (define @t151 () (= @t146 @t150)) % 0.35/0.57 (define @t152 () (not @t150)) % 0.35/0.57 (define @t153 () (tptp.leq tptp.n4 tptp.n3)) % 0.35/0.57 (define @t154 () (= tptp.n3 tptp.n5)) % 0.35/0.57 (define @t155 () (not @t154)) % 0.35/0.57 (define @t156 () (not @t140)) % 0.35/0.57 (define @t157 () (not @t153)) % 0.35/0.57 (define @t158 () (= true false)) % 0.35/0.57 (define @t159 () (and @t157 @t154 @t140)) % 0.35/0.57 (define @t160 () (= tptp.n5 @t132)) % 0.35/0.57 (define @t161 () (= tptp.n2 @t129)) % 0.35/0.57 (define @t162 () (= tptp.n3 @t130)) % 0.35/0.57 (define @t163 () (tptp.plus tptp.n3 tptp.n0)) % 0.35/0.57 (define @t164 () (= @t130 @t163)) % 0.35/0.57 (define @t165 () (= tptp.n0 tptp.n2)) % 0.35/0.57 (define @t166 () (and @t160 @t161 @t162 @t137 @t164 @t165)) % 0.35/0.57 (define @t167 () (not @t165)) % 0.35/0.57 (define @t168 () (not @t162)) % 0.35/0.57 (define @t169 () (not @t161)) % 0.35/0.57 (define @t170 () (= tptp.n0 @t129)) % 0.35/0.57 (define @t171 () (not @t170)) % 0.35/0.57 (define @t172 () (and @t161 @t167)) % 0.35/0.57 (define @t173 () (tptp.a_select3 (tptp.tptp_update3 @t2 @t21 @t75 @t79) @t22 @t75)) % 0.35/0.57 (define @t174 () (= @t81 @t173)) % 0.35/0.57 (define @t175 () (or @t83 @t174)) % 0.35/0.57 (define @t176 () (not (= @t81 @t81))) % 0.35/0.57 (define @t177 () (or @t83 @t176 @t174)) % 0.35/0.57 (define @t178 () (@list @t21 @t22 @t75 @t2 @t79)) % 0.35/0.57 (define @t179 () (= @t42 @t173)) % 0.35/0.57 (define @t180 () (= @t42 @t81)) % 0.35/0.57 (define @t181 () (not @t180)) % 0.35/0.57 (define @t182 () (or @t181 @t83 @t181 @t179)) % 0.35/0.57 (define @t183 () (@list @t42)) % 0.35/0.57 (define @t184 () (or @t83 @t181 @t179)) % 0.35/0.57 (define @t185 () (forall @t183 @t184)) % 0.35/0.57 (define @t186 () (forall @t178 @t185)) % 0.35/0.57 (define @t187 () (forall (@list @t21 @t22 @t75 @t2 @t79 @t42) @t184)) % 0.35/0.57 (define @t188 () (@list @t21 @t22 @t75 @t2 @t42 @t79)) % 0.35/0.57 (define @t189 () (not (= @t75 @t75))) % 0.35/0.57 (define @t190 () (or @t83 @t189 @t181 @t179)) % 0.35/0.57 (define @t191 () (= @t42 @t80)) % 0.35/0.57 (define @t192 () (not @t82)) % 0.35/0.57 (define @t193 () (or @t192 @t83 @t192 @t181 @t191)) % 0.35/0.57 (define @t194 () (@list @t25)) % 0.35/0.57 (define @t195 () (or @t83 @t192 @t181 @t191)) % 0.35/0.57 (define @t196 () (forall @t194 @t195)) % 0.35/0.57 (define @t197 () (forall @t188 @t196)) % 0.35/0.57 (define @t198 () (forall (@list @t21 @t22 @t75 @t2 @t42 @t79 @t25) @t195)) % 0.35/0.57 (define @t199 () (not @t84)) % 0.35/0.57 (define @t200 () (or @t199 @t192 @t181)) % 0.35/0.57 (define @t201 () (and @t84 @t82 @t180)) % 0.35/0.57 (define @t202 () (tptp.a_select3 @t113 tptp.n2 tptp.n0)) % 0.35/0.57 (define @t203 () (tptp.a_select3 @t114 tptp.n2 tptp.n0)) % 0.35/0.57 (define @t204 () (= tptp.n1 tptp.n2)) % 0.35/0.57 (define @t205 () (or @t204 (= @t202 @t203))) % 0.35/0.57 (define @t206 () (forall @t178 @t175)) % 0.35/0.57 (define @t207 () (= @t203 @t202)) % 0.35/0.57 (define @t208 () (or @t204 @t207)) % 0.35/0.57 (define @t209 () (@list @t206)) % 0.35/0.57 (define @t210 () (tptp.a_select3 @t112 tptp.n2 tptp.n0)) % 0.35/0.57 (define @t211 () (= @t210 @t202)) % 0.35/0.57 (define @t212 () (or @t165 @t211)) % 0.35/0.57 (define @t213 () (or @t165 (= @t203 @t116))) % 0.35/0.57 (define @t214 () (= @t116 @t203)) % 0.35/0.57 (define @t215 () (or @t165 @t214)) % 0.35/0.57 (define @t216 () (= @t97 @t96)) % 0.35/0.57 (define @t217 () (or @t83 @t216)) % 0.35/0.57 (define @t218 () (not (= @t97 @t97))) % 0.35/0.57 (define @t219 () (or @t83 @t218 @t216)) % 0.35/0.57 (define @t220 () (@list @t21 @t22 @t2 @t79)) % 0.35/0.57 (define @t221 () (= @t42 @t96)) % 0.35/0.57 (define @t222 () (= @t42 @t97)) % 0.35/0.57 (define @t223 () (not @t222)) % 0.35/0.57 (define @t224 () (or @t223 @t83 @t223 @t221)) % 0.35/0.57 (define @t225 () (or @t83 @t223 @t221)) % 0.35/0.57 (define @t226 () (forall @t183 @t225)) % 0.35/0.57 (define @t227 () (forall @t220 @t226)) % 0.35/0.57 (define @t228 () (forall (@list @t21 @t22 @t2 @t79 @t42) @t225)) % 0.35/0.57 (define @t229 () (and @t84 @t222)) % 0.35/0.57 (define @t230 () (tptp.a_select2 @t104 tptp.n5)) % 0.35/0.57 (define @t231 () (tptp.a_select2 @t103 tptp.n5)) % 0.35/0.57 (define @t232 () (= @t231 @t230)) % 0.35/0.57 (define @t233 () (or @t154 @t232)) % 0.35/0.57 (define @t234 () (tptp.a_select2 @t105 tptp.n5)) % 0.35/0.57 (define @t235 () (= tptp.n4 tptp.n5)) % 0.35/0.57 (define @t236 () (or @t235 (= @t230 @t234))) % 0.35/0.57 (define @t237 () (forall @t220 @t217)) % 0.35/0.57 (define @t238 () (= @t234 @t230)) % 0.35/0.57 (define @t239 () (or @t235 @t238)) % 0.35/0.57 (define @t240 () (@list @t237)) % 0.35/0.57 (define @t241 () (tptp.succ tptp.n3)) % 0.35/0.57 (define @t242 () (tptp.gt @t241 tptp.n4)) % 0.35/0.57 (define @t243 () (= @t153 @t242)) % 0.35/0.57 (define @t244 () (not @t242)) % 0.35/0.57 (define @t245 () (tptp.lt tptp.n4 @t241)) % 0.35/0.57 (define @t246 () (= @t242 @t245)) % 0.35/0.57 (define @t247 () (not @t245)) % 0.35/0.57 (define @t248 () (tptp.lt tptp.n4 tptp.n5)) % 0.35/0.57 (define @t249 () (= @t122 @t248)) % 0.35/0.57 (define @t250 () (not @t235)) % 0.35/0.57 (define @t251 () (not @t248)) % 0.35/0.57 (define @t252 () (= tptp.n4 @t131)) % 0.35/0.57 (define @t253 () (not @t252)) % 0.35/0.57 (define @t254 () (and @t247 @t162 @t252 @t235 @t248)) % 0.35/0.57 (define @t255 () (or @t154 (= @t234 @t107))) % 0.35/0.57 (define @t256 () (= @t107 @t234)) % 0.35/0.57 (define @t257 () (or @t154 @t256)) % 0.35/0.57 (define @t258 () (not @t232)) % 0.35/0.57 (define @t259 () (not @t238)) % 0.35/0.57 (define @t260 () (not @t256)) % 0.35/0.57 (define @t261 () (= tptp.use @t231)) % 0.35/0.57 (define @t262 () (not @t261)) % 0.35/0.57 (define @t263 () (= tptp.use (tptp.a_select3 @t110 tptp.n2 tptp.n0))) % 0.35/0.57 (define @t264 () (not @t263)) % 0.35/0.57 (define @t265 () (= tptp.use @t107)) % 0.35/0.57 (define @t266 () (not @t265)) % 0.35/0.57 (define @t267 () (= false true)) % 0.35/0.57 (define @t268 () (and @t263 @t261 @t232 @t238 @t256 @t266)) % 0.35/0.57 (define @t269 () (@list false false false false false)) % 0.35/0.57 (define @t270 () (= tptp.n3 tptp.n4)) % 0.35/0.57 (define @t271 () (not @t270)) % 0.35/0.57 (define @t272 () (tptp.a_select2 @t105 tptp.n4)) % 0.35/0.57 (define @t273 () (= tptp.use @t272)) % 0.35/0.57 (define @t274 () (not @t273)) % 0.35/0.57 (define @t275 () (= tptp.use @t108)) % 0.35/0.57 (define @t276 () (= tptp.use @t109)) % 0.35/0.57 (define @t277 () (not @t276)) % 0.35/0.57 (define @t278 () (not @t275)) % 0.35/0.57 (define @t279 () (not @t278)) % 0.35/0.57 (define @t280 () (= @t108 @t272)) % 0.35/0.57 (define @t281 () (and @t263 @t273 @t280 @t278)) % 0.35/0.57 (define @t282 () (or @t270 (= @t272 @t108))) % 0.35/0.57 (define @t283 () (or @t270 @t280)) % 0.35/0.57 (define @t284 () (not @t280)) % 0.35/0.57 (define @t285 () (tptp.a_select3 @t114 tptp.n1 tptp.n0)) % 0.35/0.57 (define @t286 () (= tptp.n0 tptp.n1)) % 0.35/0.57 (define @t287 () (or @t286 (= @t285 @t117))) % 0.35/0.57 (define @t288 () (= @t117 @t285)) % 0.35/0.57 (define @t289 () (or @t286 @t288)) % 0.35/0.57 (define @t290 () (= tptp.use @t118)) % 0.35/0.57 (define @t291 () (= tptp.use @t285)) % 0.35/0.57 (define @t292 () (and @t290 @t291 @t286)) % 0.35/0.57 (define @t293 () (not @t291)) % 0.35/0.57 (define @t294 () (not @t288)) % 0.35/0.57 (define @t295 () (= tptp.use @t117)) % 0.35/0.57 (define @t296 () (not @t295)) % 0.35/0.57 (define @t297 () (and @t263 @t291 @t288 @t296)) % 0.35/0.57 (define @t298 () (= tptp.use @t116)) % 0.35/0.57 (define @t299 () (not @t298)) % 0.35/0.57 (define @t300 () (not @t211)) % 0.35/0.57 (define @t301 () (not @t207)) % 0.35/0.57 (define @t302 () (not @t214)) % 0.35/0.57 (define @t303 () (= tptp.use @t210)) % 0.35/0.57 (define @t304 () (not @t303)) % 0.35/0.57 (define @t305 () (and @t263 @t303 @t211 @t207 @t214 @t299)) % 0.35/0.57 (define @t306 () (= tptp.n1 @t128)) % 0.35/0.57 (define @t307 () (tptp.pred @t128)) % 0.35/0.57 (define @t308 () (= tptp.n0 @t307)) % 0.35/0.57 (define @t309 () (= @t128 (tptp.pred @t129))) % 0.35/0.57 (define @t310 () (and @t306 @t161 @t308 @t309 @t204)) % 0.35/0.57 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.35/0.57 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.35/0.57 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.35/0.57 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.35/0.57 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.35/0.57 (assume @p6 @t12) % 0.35/0.57 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.35/0.57 (assume @p8 @t13) % 0.35/0.57 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.35/0.57 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.35/0.57 (assume @p11 (forall @t9 (tptp.gt @t14 @t2))) % 0.35/0.57 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t15)))) % 0.35/0.57 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t15 @t2)))) % 0.35/0.57 (assume @p14 (forall @t19 (=> @t18 (tptp.leq @t17 @t2)))) % 0.35/0.57 (assume @p15 (forall @t19 (=> @t18 (tptp.leq tptp.n0 @t17)))) % 0.35/0.57 (assume @p16 (forall (@list @t21 @t23 @t22 @t20) (=> (and (tptp.leq @t23 @t21) @t24) (= (tptp.a_select2 (tptp.tptp_const_array1 (tptp.dim @t23 @t22) @t20) @t21) @t20)))) % 0.35/0.57 (assume @p17 (forall (@list @t21 @t29 @t28 @t25 @t27 @t26 @t20) (=> (and (tptp.leq @t29 @t21) (tptp.leq @t21 @t28) (tptp.leq @t27 @t25) (tptp.leq @t25 @t26)) (= (tptp.a_select3 (tptp.tptp_const_array2 (tptp.dim @t29 @t28) (tptp.dim @t27 @t26) @t20) @t21 @t25) @t20)))) % 0.35/0.57 (assume @p18 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (= (tptp.a_select3 @t31 @t21 @t25) (tptp.a_select3 @t31 @t25 @t21))))))) % 0.35/0.57 (assume @p19 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (= (tptp.a_select3 @t41 @t21 @t25) (tptp.a_select3 @t41 @t25 @t21))))))) % 0.35/0.57 (assume @p20 (forall @t40 (=> @t39 (forall (@list @t21 @t25 @t43 @t42) (=> (and @t36 @t35 @t34 @t33 (tptp.leq tptp.n0 @t43) (tptp.leq @t43 @t32)) (= (tptp.a_select3 @t44 @t21 @t25) (tptp.a_select3 @t44 @t25 @t21))))))) % 0.35/0.57 (assume @p21 (forall @t50 (=> @t49 (forall @t38 (=> @t37 (= (tptp.a_select3 @t46 @t21 @t25) (tptp.a_select3 @t46 @t25 @t21))))))) % 0.35/0.57 (assume @p22 (forall @t50 (=> @t49 (forall @t38 (=> @t37 (= (tptp.a_select3 @t51 @t21 @t25) (tptp.a_select3 @t51 @t25 @t21))))))) % 0.35/0.57 (assume @p23 (forall @t50 (=> @t48 @t53))) % 0.35/0.57 (assume @p24 (forall (@list @t30 @t45 @t32 @t54) (=> (forall @t38 (=> @t55 @t47)) @t53))) % 0.35/0.57 (assume @p25 (forall (@list @t30 @t45 @t16 @t58 @t56 @t57 @t32 @t54) (=> (and (forall @t38 (=> @t55 (= (tptp.a_select3 @t58 @t21 @t25) (tptp.a_select3 @t58 @t25 @t21)))) @t39 (forall @t38 (=> @t37 (= (tptp.a_select3 @t57 @t21 @t25) (tptp.a_select3 @t57 @t25 @t21))))) (forall @t38 (=> @t37 (= (tptp.a_select3 @t59 @t21 @t25) (tptp.a_select3 @t59 @t25 @t21))))))) % 0.35/0.57 (assume @p26 (forall @t62 (= @t61 tptp.n0))) % 0.35/0.57 (assume @p27 (forall @t62 (= tptp.tptp_float_0_0 @t61))) % 0.35/0.57 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.35/0.57 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t14))) % 0.35/0.57 (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t14))) % 0.35/0.57 (assume @p31 @t64) % 0.35/0.57 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t63))) % 0.35/0.57 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t65))) % 0.35/0.57 (assume @p34 @t67) % 0.35/0.57 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t68))) % 0.35/0.57 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t68))) % 0.35/0.57 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t69))) % 0.35/0.57 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t69))) % 0.35/0.57 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t70))) % 0.35/0.57 (assume @p40 @t72) % 0.35/0.57 (assume @p41 (forall @t9 (= (tptp.succ @t70) @t2))) % 0.35/0.57 (assume @p42 @t74) % 0.35/0.57 (assume @p43 (forall @t6 (=> (tptp.leq @t14 @t1) @t4))) % 0.35/0.57 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.35/0.57 (assume @p45 @t78) % 0.35/0.57 (assume @p46 @t88) % 0.35/0.57 (assume @p47 (forall (@list @t21 @t25 @t22 @t75 @t2 @t42) (=> (and (forall (@list @t90 @t89) (=> (and @t92 (tptp.leq tptp.n0 @t89) @t91 (tptp.leq @t89 @t75)) (= (tptp.a_select3 @t2 @t90 @t89) @t42))) @t36 @t24 @t34 (tptp.leq @t25 @t75)) (= (tptp.a_select3 @t76 @t21 @t25) @t42)))) % 0.35/0.57 (assume @p48 @t95) % 0.35/0.57 (assume @p49 @t101) % 0.35/0.57 (assume @p50 (forall (@list @t21 @t22 @t2 @t42) (=> (and (forall (@list @t90) (=> (and @t92 @t91) (= (tptp.a_select2 @t2 @t90) @t42))) @t36 @t24) (= (tptp.a_select2 @t93 @t21) @t42)))) % 0.35/0.57 (assume @p51 tptp.true) % 0.35/0.57 (assume @p52 (not (= tptp.def tptp.use))) % 0.35/0.57 (assume @p53 @t121) % 0.35/0.57 (assume @p54 @t122) % 0.35/0.57 (assume @p55 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.35/0.57 (assume @p56 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.35/0.57 (assume @p57 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.35/0.57 (assume @p58 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.35/0.57 (assume @p59 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.35/0.57 (assume @p60 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.35/0.57 (assume @p61 (tptp.gt tptp.n4 tptp.n0)) % 0.35/0.57 (assume @p62 (tptp.gt tptp.n5 tptp.n0)) % 0.35/0.57 (assume @p63 (tptp.gt tptp.n1 tptp.n0)) % 0.35/0.57 (assume @p64 (tptp.gt tptp.n2 tptp.n0)) % 0.35/0.57 (assume @p65 (tptp.gt tptp.n3 tptp.n0)) % 0.35/0.57 (assume @p66 (tptp.gt tptp.n4 tptp.n1)) % 0.35/0.57 (assume @p67 (tptp.gt tptp.n5 tptp.n1)) % 0.35/0.57 (assume @p68 (tptp.gt tptp.n2 tptp.n1)) % 0.35/0.57 (assume @p69 (tptp.gt tptp.n3 tptp.n1)) % 0.35/0.57 (assume @p70 (tptp.gt tptp.n4 tptp.n2)) % 0.35/0.57 (assume @p71 (tptp.gt tptp.n5 tptp.n2)) % 0.35/0.57 (assume @p72 (tptp.gt tptp.n3 tptp.n2)) % 0.35/0.57 (assume @p73 (tptp.gt tptp.n4 tptp.n3)) % 0.35/0.57 (assume @p74 (tptp.gt tptp.n5 tptp.n3)) % 0.35/0.57 (assume @p75 (forall @t9 (=> (and @t18 (tptp.leq @t2 tptp.n4)) (or @t127 @t126 @t125 @t124 @t123)))) % 0.35/0.57 (assume @p76 (forall @t9 (=> (and @t18 (tptp.leq @t2 tptp.n5)) (or @t127 @t126 @t125 @t124 @t123 (= @t2 tptp.n5))))) % 0.35/0.57 (assume @p77 (forall @t9 (=> (and @t18 (tptp.leq @t2 tptp.n0)) @t127))) % 0.35/0.57 (assume @p78 (forall @t9 (=> (and @t18 (tptp.leq @t2 tptp.n1)) (or @t127 @t126)))) % 0.35/0.57 (assume @p79 (forall @t9 (=> (and @t18 (tptp.leq @t2 tptp.n2)) (or @t127 @t126 @t125)))) % 0.35/0.57 (assume @p80 (forall @t9 (=> (and @t18 (tptp.leq @t2 tptp.n3)) (or @t127 @t126 @t125 @t124)))) % 0.35/0.57 (assume @p81 (= @t131 tptp.n4)) % 0.35/0.57 (assume @p82 (= @t132 tptp.n5)) % 0.35/0.57 (assume @p83 (= @t128 tptp.n1)) % 0.35/0.57 (assume @p84 (= @t129 tptp.n2)) % 0.35/0.57 (assume @p85 (= @t130 tptp.n3)) % 0.35/0.57 (assume @p86 true) % 0.35/0.57 (step @p87 :rule symm :premises (@p83)) % 0.35/0.57 (step @p88 :rule symm :premises (@p84)) % 0.35/0.57 (step @p89 :rule eq-symm :args (@t71 @t2)) % 0.35/0.57 (step @p90 :rule cong :premises (@p89) :args (@t72)) % 0.35/0.57 (step @p91 :rule eq_resolve :premises (@p40 @p90)) % 0.35/0.57 (step @p92 :rule instantiate :premises (@p91) :args (@t133)) % 0.35/0.57 (step @p93 :rule instantiate :premises (@p91) :args ((@list @t128))) % 0.35/0.57 (step @p94 :rule symm :premises (@p82)) % 0.35/0.57 (step @p95 :rule symm :premises (@p85)) % 0.35/0.57 (step @p96 :rule eq-symm :args (@t134 @t132)) % 0.35/0.57 (step @p97 :rule refl :args (@t64)) % 0.35/0.57 (step @p98 :rule cong :premises (@p97 @p96) :args ((=> @t64 @t135))) % 0.35/0.57 (assume-push @p788 @t64) % 0.35/0.57 (step @p100 :rule instantiate :premises (@p31) :args (@t136)) % 0.35/0.57 (step-pop @p789 :rule scope :premises (@p100)) % 0.35/0.57 (step @p101 :rule process_scope :premises (@p789) :args (@t135)) % 0.35/0.57 (step @p103 :rule eq_resolve :premises (@p101 @p98)) % 0.35/0.57 (step @p104 :rule implies_elim :premises (@p103)) % 0.35/0.57 (step @p105 :rule 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@p180) :args (@t163)) % 0.35/0.57 (step @p183 :rule trans :premises (@p95 @p109 @p182 @p179 @p100 @p82)) % 0.35/0.57 (step-pop @p814 :rule scope :premises (@p183)) % 0.35/0.57 (step-pop @p815 :rule scope :premises (@p814)) % 0.35/0.57 (step-pop @p816 :rule scope :premises (@p815)) % 0.35/0.57 (step-pop @p817 :rule scope :premises (@p816)) % 0.35/0.57 (step-pop @p818 :rule scope :premises (@p817)) % 0.35/0.57 (step-pop @p819 :rule scope :premises (@p818)) % 0.35/0.57 (step @p184 :rule process_scope :premises (@p819) :args (@t154)) % 0.35/0.57 (step @p191 :rule and_intro :premises (@p94 @p105 @p95 @p88 @p807 @p109)) % 0.35/0.57 (step @p192 :rule modus_ponens :premises (@p191 @p184)) % 0.35/0.57 (step-pop @p820 :rule scope :premises (@p192)) % 0.35/0.57 (step-pop @p821 :rule scope :premises (@p820)) % 0.35/0.57 (step-pop @p822 :rule scope :premises (@p821)) % 0.35/0.57 (step-pop @p823 :rule scope :premises (@p822)) % 0.35/0.57 (step-pop @p824 :rule scope :premises (@p823)) % 0.35/0.57 (step-pop @p825 :rule scope :premises (@p824)) % 0.35/0.57 (step @p193 :rule process_scope :premises (@p825) :args (@t154)) % 0.35/0.57 (step @p200 :rule implies_elim :premises (@p193)) % 0.35/0.57 (step @p201 :rule cnf_and_neg :args (@t166)) % 0.35/0.57 (step @p202 :rule resolution :premises (@p201 @p200) :args (true @t166)) % 0.35/0.57 (step @p203 :rule reordering :premises (@p202) :args ((or (not @t160) @t169 @t168 @t154 (not @t137) (not @t164) @t167))) % 0.35/0.57 (step @p204 :rule chain_m_resolution :premises (@p203 @p166 @p109 @p105 @p95 @p88 @p94) :args (@t167 (@list true false false false false false) (@list @t154 @t164 @t137 @t162 @t161 @t160))) % 0.35/0.57 (step @p205 :rule refl :args (@t171)) % 0.35/0.57 (step @p206 :rule bool-double-not-elim :args (@t165)) % 0.35/0.57 (step @p207 :rule refl :args (@t169)) % 0.35/0.57 (step @p208 :rule nary_cong :premises (@p207 @p206 @p205) :args ((or @t169 (not @t167) @t171))) % 0.35/0.57 (assume-push @p826 @t161) % 0.35/0.57 (assume-push @p827 @t167) % 0.35/0.57 (assume-push @p828 @t167) % 0.35/0.57 (assume-push @p829 @t161) % 0.35/0.57 (step @p213 :rule false_intro :premises (@p827)) % 0.35/0.57 (step @p214 :rule refl :args (tptp.n0)) % 0.35/0.57 (step @p215 :rule cong :premises (@p214 @p84) :args (@t170)) % 0.35/0.57 (step @p216 :rule trans :premises (@p215 @p213)) % 0.35/0.57 (step @p217 :rule false_elim :premises (@p216)) % 0.35/0.57 (step-pop @p830 :rule scope :premises (@p217)) % 0.35/0.57 (step-pop @p831 :rule scope :premises (@p830)) % 0.35/0.57 (step @p218 :rule process_scope :premises (@p831) :args (@t171)) % 0.35/0.57 (step @p221 :rule and_intro :premises (@p827 @p88)) % 0.35/0.57 (step @p222 :rule modus_ponens :premises (@p221 @p218)) % 0.35/0.57 (step-pop @p832 :rule scope :premises (@p222)) % 0.35/0.57 (step-pop @p833 :rule scope :premises (@p832)) % 0.35/0.57 (step @p223 :rule process_scope :premises (@p833) :args (@t171)) % 0.35/0.57 (step @p226 :rule implies_elim :premises (@p223)) % 0.35/0.57 (step @p227 :rule cnf_and_neg :args (@t172)) % 0.35/0.57 (step @p228 :rule resolution :premises (@p227 @p226) :args (true @t172)) % 0.35/0.57 (step @p229 :rule eq_resolve :premises (@p228 @p208)) % 0.35/0.57 (step @p230 :rule chain_m_resolution :premises (@p229 @p88 @p204) :args (@t171 (@list false true) (@list @t161 @t165))) % 0.35/0.57 (step @p231 :rule aci_norm :args ((= (or @t83 false @t174) @t175))) % 0.35/0.57 (step @p232 :rule refl :args (@t174)) % 0.35/0.57 (step @p233 :rule evaluate :args ((not true))) % 0.35/0.57 (step @p234 :rule eq-refl :args (@t81)) % 0.35/0.57 (step @p235 :rule cong :premises (@p234) :args (@t176)) % 0.35/0.57 (step @p236 :rule trans :premises (@p235 @p233)) % 0.35/0.57 (step @p237 :rule refl :args (@t83)) % 0.35/0.57 (step @p238 :rule nary_cong :premises (@p237 @p236 @p232) :args (@t177)) % 0.35/0.57 (step @p239 :rule trans :premises (@p238 @p231)) % 0.35/0.57 (step @p240 :rule cong :premises (@p239) :args ((forall @t178 @t177))) % 0.35/0.57 (step @p241 :rule 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@p278)) % 0.35/0.57 (step @p285 :rule nary_cong :premises (@p284 @p272) :args ((or (not @t201) @t191))) % 0.35/0.57 (step @p286 :rule trans :premises (@p285 @p271)) % 0.35/0.57 (step @p287 :rule bool-impl-elim :args (@t201 @t191)) % 0.35/0.57 (step @p288 :rule trans :premises (@p287 @p286)) % 0.35/0.57 (step @p289 :rule cong :premises (@p288) :args ((forall @t87 (=> @t201 @t191)))) % 0.35/0.57 (step @p290 :rule trans :premises (@p289 @p270)) % 0.35/0.57 (step @p291 :rule eq-symm :args (@t80 @t42)) % 0.35/0.57 (step @p292 :rule eq-symm :args (@t81 @t42)) % 0.35/0.57 (step @p293 :rule refl :args (@t82)) % 0.35/0.57 (step @p294 :rule refl :args (@t84)) % 0.35/0.57 (step @p295 :rule nary_cong :premises (@p294 @p293 @p292) :args (@t85)) % 0.35/0.57 (step @p296 :rule cong :premises (@p295 @p291) :args (@t86)) % 0.35/0.57 (step @p297 :rule cong :premises (@p296) :args (@t88)) % 0.35/0.57 (step @p298 :rule trans :premises (@p297 @p290)) % 0.35/0.57 (step @p299 :rule eq_resolve :premises (@p46 @p298)) % 0.35/0.57 (step @p300 :rule eq-symm :args (@t202 @t203)) % 0.35/0.57 (step @p301 :rule refl :args (@t204)) % 0.35/0.57 (step @p302 :rule nary_cong :premises (@p301 @p300) :args (@t205)) % 0.35/0.57 (step @p303 :rule refl :args (@t206)) % 0.35/0.57 (step @p304 :rule cong :premises (@p303 @p302) :args ((=> @t206 @t205))) % 0.35/0.57 (assume-push @p834 @t206) % 0.35/0.57 (step @p306 :rule instantiate :premises (@p299) :args ((@list tptp.n1 tptp.n2 tptp.n0 @t113 tptp.use))) % 0.35/0.57 (step-pop @p835 :rule scope :premises (@p306)) % 0.35/0.57 (step @p307 :rule process_scope :premises (@p835) :args (@t205)) % 0.35/0.57 (step @p309 :rule eq_resolve :premises (@p307 @p304)) % 0.35/0.57 (step @p310 :rule implies_elim :premises (@p309)) % 0.35/0.57 (step @p311 :rule chain_m_resolution :premises (@p310 @p299) :args (@t208 @t138 @t209)) % 0.35/0.57 (step @p312 :rule instantiate :premises (@p299) :args ((@list tptp.n0 tptp.n2 tptp.n0 @t112 tptp.use))) % 0.35/0.57 (step @p313 :rule 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(step @p579 :rule process_scope :premises (@p911) :args (@t282)) % 0.35/0.57 (step @p581 :rule eq_resolve :premises (@p579 @p576)) % 0.35/0.57 (step @p582 :rule implies_elim :premises (@p581)) % 0.35/0.57 (step @p583 :rule chain_m_resolution :premises (@p582 @p371) :args (@t283 @t138 @t240)) % 0.35/0.57 (step @p584 :rule cnf_or_pos :args (@t283)) % 0.35/0.57 (step @p585 :rule reordering :premises (@p584) :args ((or @t270 @t280 (not @t283)))) % 0.35/0.57 (step @p586 :rule refl :args (@t284)) % 0.35/0.57 (step @p587 :rule nary_cong :premises (@p521 @p471 @p520 @p586) :args ((or @t279 @t264 @t274 @t284))) % 0.35/0.57 (assume-push @p912 @t278) % 0.35/0.57 (assume-push @p913 @t263) % 0.35/0.57 (assume-push @p914 @t273) % 0.35/0.57 (assume-push @p915 @t280) % 0.35/0.57 (step @p600 :rule and_intro :premises (@p334 @p517 @p915 @p912)) % 0.35/0.57 (step-pop @p916 :rule scope :premises (@p600)) % 0.35/0.57 (step-pop @p917 :rule scope :premises (@p916)) % 0.35/0.57 (step-pop @p918 :rule scope :premises (@p917)) % 0.35/0.57 (step-pop @p919 :rule scope :premises (@p918)) % 0.35/0.57 (step @p601 :rule process_scope :premises (@p919) :args (@t281)) % 0.35/0.57 (step @p606 :rule implies_elim :premises (@p601)) % 0.35/0.57 (step @p607 :rule resolution :premises (@p606 @p537) :args (true @t281)) % 0.35/0.57 (step @p608 :rule not_and :premises (@p607)) % 0.35/0.57 (step @p609 :rule eq_resolve :premises (@p608 @p587)) % 0.35/0.57 (step @p610 :rule chain_m_resolution :premises (@p609 @p517 @p334 @p585 @p583 @p572 @p518 @p517 @p334) :args (@t275 (@list false false false false true false false false) (@list @t273 @t263 @t280 @t283 @t270 @t276 @t273 @t263))) % 0.35/0.57 (step @p611 :rule eq-symm :args (@t285 @t117)) % 0.35/0.57 (step @p612 :rule refl :args (@t286)) % 0.35/0.57 (step @p613 :rule nary_cong :premises (@p612 @p611) :args (@t287)) % 0.35/0.57 (step @p614 :rule cong :premises (@p303 @p613) :args ((=> @t206 @t287))) % 0.35/0.57 (assume-push @p920 @t206) % 0.35/0.57 (step @p616 :rule instantiate :premises (@p299) :args ((@list tptp.n0 tptp.n1 tptp.n0 @t114 tptp.use))) % 0.35/0.57 (step-pop @p921 :rule scope :premises (@p616)) % 0.35/0.57 (step @p617 :rule process_scope :premises (@p921) :args (@t287)) % 0.35/0.57 (step @p619 :rule eq_resolve :premises (@p617 @p614)) % 0.35/0.57 (step @p620 :rule implies_elim :premises (@p619)) % 0.35/0.57 (step @p621 :rule chain_m_resolution :premises (@p620 @p299) :args (@t289 @t138 @t209)) % 0.35/0.57 (step @p622 :rule cnf_or_pos :args (@t289)) % 0.35/0.57 (step @p623 :rule reordering :premises (@p622) :args ((or @t286 @t288 (not @t289)))) % 0.35/0.57 (step @p624 :rule instantiate :premises (@p332) :args ((@list @t113 tptp.n1 tptp.n0 tptp.use))) % 0.35/0.57 (step @p625 :rule instantiate :premises (@p332) :args ((@list @t114 tptp.n0 tptp.n0 tptp.use))) % 0.35/0.57 (assume-push @p922 @t290) % 0.35/0.57 (assume-push @p923 @t291) % 0.35/0.57 (assume-push @p924 @t286) % 0.35/0.57 (assume-push @p925 @t291) % 0.35/0.57 (assume-push @p926 @t290) % 0.35/0.57 (assume-push @p927 @t286) % 0.35/0.57 (step @p632 :rule symm :premises (@p625)) % 0.35/0.57 (step @p214 :rule refl :args (tptp.n0)) % 0.35/0.57 (step @p633 :rule symm :premises (@p924)) % 0.35/0.57 (step @p634 :rule refl :args (@t115)) % 0.35/0.57 (step @p635 :rule cong :premises (@p634 @p633 @p214) :args (@t117)) % 0.35/0.57 (step @p636 :rule trans :premises (@p635 @p632 @p624)) % 0.35/0.57 (step-pop @p928 :rule scope :premises (@p636)) % 0.35/0.57 (step-pop @p929 :rule scope :premises (@p928)) % 0.35/0.57 (step-pop @p930 :rule scope :premises (@p929)) % 0.35/0.57 (step @p637 :rule process_scope :premises (@p930) :args (@t288)) % 0.35/0.57 (step @p641 :rule and_intro :premises (@p624 @p625 @p924)) % 0.35/0.57 (step @p642 :rule modus_ponens :premises (@p641 @p637)) % 0.35/0.57 (step-pop @p931 :rule scope :premises (@p642)) % 0.35/0.57 (step-pop @p932 :rule scope :premises (@p931)) % 0.35/0.57 (step-pop @p933 :rule scope :premises (@p932)) % 0.35/0.57 (step @p643 :rule process_scope :premises (@p933) :args (@t288)) % 0.35/0.57 (step @p647 :rule implies_elim :premises (@p643)) % 0.35/0.57 (step @p648 :rule cnf_and_neg :args (@t292)) % 0.35/0.57 (step @p649 :rule resolution :premises (@p648 @p647) :args (true @t292)) % 0.35/0.57 (step @p650 :rule reordering :premises (@p649) :args ((or (not @t290) @t288 @t293 (not @t286)))) % 0.35/0.57 (step @p651 :rule chain_m_resolution :premises (@p650 @p625 @p624 @p623 @p621) :args (@t288 (@list false false false false) (@list @t290 @t291 @t286 @t289))) % 0.35/0.57 (step @p652 :rule refl :args (@t294)) % 0.35/0.57 (step @p653 :rule refl :args (@t293)) % 0.35/0.57 (step @p654 :rule bool-double-not-elim :args (@t295)) % 0.35/0.57 (step @p655 :rule nary_cong :premises (@p654 @p471 @p653 @p652) :args ((or (not @t296) @t264 @t293 @t294))) % 0.35/0.57 (assume-push @p934 @t263) % 0.35/0.57 (assume-push @p935 @t291) % 0.35/0.57 (assume-push @p936 @t288) % 0.35/0.57 (assume-push @p937 @t296) % 0.35/0.57 (step @p480 :rule evaluate :args (@t267)) % 0.35/0.57 (step @p660 :rule symm :premises (@p624)) % 0.35/0.57 (step @p661 :rule trans :premises (@p936 @p660 @p334)) % 0.35/0.57 (step @p662 :rule symm :premises (@p661)) % 0.35/0.57 (step @p663 :rule trans :premises (@p334 @p662)) % 0.35/0.57 (step @p664 :rule true_intro :premises (@p663)) % 0.35/0.57 (step @p665 :rule false_intro :premises (@p937)) % 0.35/0.57 (step @p666 :rule symm :premises (@p665)) % 0.35/0.57 (step @p667 :rule trans :premises (@p666 @p664)) % 0.35/0.57 (step @p668 false :rule eq_resolve :premises (@p667 @p480)) % 0.35/0.57 (step-pop @p938 :rule scope :premises (@p668)) % 0.35/0.57 (step-pop @p939 :rule scope :premises (@p938)) % 0.35/0.57 (step-pop @p940 :rule scope :premises (@p939)) % 0.35/0.57 (step-pop @p941 :rule scope :premises (@p940)) % 0.35/0.57 (step @p669 :rule process_scope :premises (@p941) :args (false)) % 0.35/0.57 (assume-push @p942 @t296) % 0.35/0.57 (assume-push @p943 @t263) % 0.35/0.57 (assume-push @p944 @t291) % 0.35/0.57 (assume-push @p945 @t288) % 0.35/0.57 (step @p678 :rule and_intro :premises (@p334 @p624 @p945 @p942)) % 0.35/0.57 (step-pop @p946 :rule scope :premises (@p678)) % 0.35/0.57 (step-pop @p947 :rule scope :premises (@p946)) % 0.35/0.57 (step-pop @p948 :rule scope :premises (@p947)) % 0.35/0.57 (step-pop @p949 :rule scope :premises (@p948)) % 0.35/0.57 (step @p679 :rule process_scope :premises (@p949) :args (@t297)) % 0.35/0.57 (step @p684 :rule implies_elim :premises (@p679)) % 0.35/0.57 (step @p685 :rule resolution :premises (@p684 @p669) :args (true @t297)) % 0.35/0.57 (step @p686 :rule not_and :premises (@p685)) % 0.35/0.57 (step @p687 :rule eq_resolve :premises (@p686 @p655)) % 0.35/0.57 (step @p688 :rule chain_m_resolution :premises (@p687 @p334 @p624 @p651) :args (@t295 (@list false false false) (@list @t263 @t291 @t288))) % 0.35/0.57 (step @p689 :rule eq-symm :args (@t107 tptp.use)) % 0.35/0.57 (step @p690 :rule eq-symm :args (@t108 tptp.use)) % 0.35/0.57 (step @p691 :rule eq-symm :args (@t109 tptp.use)) % 0.35/0.57 (step @p692 :rule eq-symm :args (@t116 tptp.use)) % 0.35/0.57 (step @p693 :rule eq-symm :args (@t117 tptp.use)) % 0.35/0.57 (step @p694 :rule eq-symm :args (@t118 tptp.use)) % 0.35/0.57 (step @p695 :rule nary_cong :premises (@p694 @p693 @p692 @p691 @p690 @p689) :args (@t119)) % 0.35/0.57 (step @p696 :rule refl :args (tptp.true)) % 0.35/0.57 (step @p697 :rule cong :premises (@p696 @p695) :args (@t120)) % 0.35/0.57 (step @p698 :rule cong :premises (@p697) :args (@t121)) % 0.35/0.57 (step @p699 :rule eq_resolve :premises (@p53 @p698)) % 0.35/0.57 (step @p700 :rule not_implies_elim2 :premises (@p699)) % 0.35/0.57 (step @p701 :rule not_and :premises (@p700)) % 0.35/0.57 (step @p702 :rule chain_m_resolution :premises (@p701 @p625 @p688 @p518 @p610 @p516) :args (@t299 @t269 (@list @t290 @t295 @t276 @t275 @t265))) % 0.35/0.57 (step @p703 :rule refl :args (@t300)) % 0.35/0.57 (step @p704 :rule refl :args (@t301)) % 0.35/0.57 (step @p705 :rule refl :args (@t302)) % 0.35/0.57 (step @p706 :rule refl :args (@t304)) % 0.35/0.57 (step @p707 :rule bool-double-not-elim :args (@t298)) % 0.35/0.57 (step @p708 :rule nary_cong :premises (@p707 @p471 @p706 @p705 @p704 @p703) :args ((or (not @t299) @t264 @t304 @t302 @t301 @t300))) % 0.35/0.57 (assume-push @p950 @t263) % 0.35/0.57 (assume-push @p951 @t303) % 0.35/0.57 (assume-push @p952 @t211) % 0.35/0.57 (assume-push @p953 @t207) % 0.35/0.57 (assume-push @p954 @t214) % 0.35/0.57 (assume-push @p955 @t299) % 0.35/0.57 (step @p480 :rule evaluate :args (@t267)) % 0.35/0.57 (step @p715 :rule symm :premises (@p333)) % 0.35/0.57 (step @p716 :rule symm :premises (@p952)) % 0.35/0.57 (step @p717 :rule trans :premises (@p954 @p953 @p716 @p715 @p334)) % 0.35/0.57 (step @p718 :rule symm :premises (@p717)) % 0.35/0.57 (step @p719 :rule trans :premises (@p334 @p718)) % 0.35/0.57 (step @p720 :rule true_intro :premises (@p719)) % 0.35/0.57 (step @p721 :rule false_intro :premises (@p955)) % 0.35/0.57 (step @p722 :rule symm :premises (@p721)) % 0.35/0.57 (step @p723 :rule trans :premises (@p722 @p720)) % 0.35/0.57 (step @p724 false :rule eq_resolve :premises (@p723 @p480)) % 0.35/0.57 (step-pop @p956 :rule scope :premises (@p724)) % 0.35/0.57 (step-pop @p957 :rule scope :premises (@p956)) % 0.35/0.57 (step-pop @p958 :rule scope :premises (@p957)) % 0.35/0.57 (step-pop @p959 :rule scope :premises (@p958)) % 0.35/0.57 (step-pop @p960 :rule scope :premises (@p959)) % 0.35/0.57 (step-pop @p961 :rule scope :premises (@p960)) % 0.35/0.57 (step @p725 :rule process_scope :premises (@p961) :args (false)) % 0.35/0.57 (assume-push @p962 @t299) % 0.35/0.57 (assume-push @p963 @t263) % 0.35/0.57 (assume-push @p964 @t303) % 0.35/0.57 (assume-push @p965 @t214) % 0.35/0.57 (assume-push @p966 @t207) % 0.35/0.57 (assume-push @p967 @t211) % 0.35/0.57 (step @p738 :rule and_intro :premises (@p334 @p333 @p967 @p966 @p965 @p962)) % 0.35/0.57 (step-pop @p968 :rule scope :premises (@p738)) % 0.35/0.57 (step-pop @p969 :rule scope :premises (@p968)) % 0.35/0.57 (step-pop @p970 :rule scope :premises (@p969)) % 0.35/0.57 (step-pop @p971 :rule scope :premises (@p970)) % 0.35/0.57 (step-pop @p972 :rule scope :premises (@p971)) % 0.35/0.57 (step-pop @p973 :rule scope :premises (@p972)) % 0.35/0.57 (step @p739 :rule process_scope :premises (@p973) :args (@t305)) % 0.35/0.57 (step @p746 :rule implies_elim :premises (@p739)) % 0.35/0.57 (step @p747 :rule resolution :premises (@p746 @p725) :args (true @t305)) % 0.35/0.57 (step @p748 :rule not_and :premises (@p747)) % 0.35/0.57 (step @p749 :rule eq_resolve :premises (@p748 @p708)) % 0.35/0.57 (step @p750 :rule chain_m_resolution :premises (@p749 @p702 @p334 @p333 @p329 @p315) :args (@t301 (@list true false false false false) (@list @t298 @t263 @t303 @t214 @t211))) % 0.35/0.57 (step @p751 :rule cnf_or_pos :args (@t208)) % 0.35/0.57 (step @p752 :rule reordering :premises (@p751) :args ((or @t204 @t207 (not @t208)))) % 0.35/0.57 (step @p753 :rule chain_m_resolution :premises (@p752 @p750 @p311) :args (@t204 @t149 (@list @t207 @t208))) % 0.35/0.57 (assume-push @p974 @t306) % 0.35/0.57 (assume-push @p975 @t161) % 0.35/0.57 (assume-push @p976 @t308) % 0.35/0.57 (assume-push @p977 @t309) % 0.35/0.57 (assume-push @p978 @t204) % 0.35/0.57 (assume-push @p979 @t161) % 0.35/0.57 (assume-push @p980 @t204) % 0.35/0.57 (assume-push @p981 @t306) % 0.35/0.57 (assume-push @p982 @t309) % 0.35/0.57 (assume-push @p983 @t308) % 0.35/0.57 (step @p764 :rule symm :premises (@p93)) % 0.35/0.57 (step @p765 :rule trans :premises (@p978 @p88)) % 0.35/0.57 (step @p766 :rule cong :premises (@p765) :args ((tptp.pred tptp.n1))) % 0.35/0.57 (step @p767 :rule cong :premises (@p83) :args (@t307)) % 0.35/0.57 (step @p768 :rule trans :premises (@p92 @p767 @p766 @p764 @p83 @p978 @p88)) % 0.35/0.57 (step-pop @p984 :rule scope :premises (@p768)) % 0.35/0.57 (step-pop @p985 :rule scope :premises (@p984)) % 0.35/0.57 (step-pop @p986 :rule scope :premises (@p985)) % 0.35/0.57 (step-pop @p987 :rule scope :premises (@p986)) % 0.35/0.57 (step-pop @p988 :rule scope :premises (@p987)) % 0.35/0.57 (step @p769 :rule process_scope :premises (@p988) :args (@t170)) % 0.35/0.57 (step @p775 :rule and_intro :premises (@p88 @p978 @p87 @p93 @p92)) % 0.35/0.57 (step @p776 :rule modus_ponens :premises (@p775 @p769)) % 0.35/0.57 (step-pop @p989 :rule scope :premises (@p776)) % 0.35/0.57 (step-pop @p990 :rule scope :premises (@p989)) % 0.35/0.57 (step-pop @p991 :rule scope :premises (@p990)) % 0.35/0.57 (step-pop @p992 :rule scope :premises (@p991)) % 0.35/0.57 (step-pop @p993 :rule scope :premises (@p992)) % 0.35/0.57 (step @p777 :rule process_scope :premises (@p993) :args (@t170)) % 0.35/0.57 (step @p783 :rule implies_elim :premises (@p777)) % 0.35/0.57 (step @p784 :rule cnf_and_neg :args (@t310)) % 0.35/0.57 (step @p785 :rule resolution :premises (@p784 @p783) :args (true @t310)) % 0.35/0.57 (step @p786 :rule reordering :premises (@p785) :args ((or (not @t306) @t169 (not @t308) (not @t309) @t170 (not @t204)))) % 0.35/0.57 (step @p787 false :rule chain_m_resolution :premises (@p786 @p753 @p230 @p93 @p92 @p88 @p87) :args (false (@list false true false false false false) (@list @t204 @t170 @t309 @t308 @t161 @t306))) % 0.35/0.57 ) % 0.35/0.57 % SZS output end Proof % 0.35/0.57 % cvc5 exiting %------------------------------------------------------------------------------