%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MSC010+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:36:05 AM UTC 2026 % Result : Theorem 0.39s 0.60s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : MSC010+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n019.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 % 0.18/0.34 % DateTime : Tue Jun 2 09:45:04 EDT 2026 % 0.18/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.60 % SZS status Theorem % 0.39/0.60 % SZS output start Proof % 0.39/0.60 ( % 0.39/0.60 (declare-sort $$unsorted 0) % 0.39/0.60 (declare-const tptp.pv5 $$unsorted) % 0.39/0.60 (declare-const tptp.n998 $$unsorted) % 0.39/0.60 (declare-const tptp.h_ds1_filter_init $$unsorted) % 0.39/0.60 (declare-const tptp.phi_ds1_filter_init $$unsorted) % 0.39/0.60 (declare-const tptp.dv_ds1_filter_init $$unsorted) % 0.39/0.60 (declare-const tptp.q_ds1_filter_init $$unsorted) % 0.39/0.60 (declare-const tptp.n2 $$unsorted) % 0.39/0.60 (declare-const tptp.init $$unsorted) % 0.39/0.60 (declare-const tptp.id_ds1_filter_init $$unsorted) % 0.39/0.60 (declare-const tptp.n5 $$unsorted) % 0.39/0.60 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.pv64 $$unsorted) % 0.39/0.60 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.pminus_ds1_filter_init $$unsorted) % 0.39/0.60 (declare-const tptp.pv63 $$unsorted) % 0.39/0.60 (declare-const tptp.n0 $$unsorted) % 0.39/0.60 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.xhatmin_ds1_filter_init $$unsorted) % 0.39/0.60 (declare-const tptp.r_ds1_filter_init $$unsorted) % 0.39/0.60 (define @t1 () (@var "X22" $$unsorted)) % 0.39/0.60 (define @t2 () (@var "X21" $$unsorted)) % 0.39/0.60 (define @t3 () (tptp.a_select3 tptp.id_ds1_filter_init @t2 @t1)) % 0.39/0.60 (define @t4 () (tptp.leq @t1 tptp.pv64)) % 0.39/0.60 (define @t5 () (= @t2 tptp.pv63)) % 0.39/0.60 (define @t6 () (= tptp.pv64 @t1)) % 0.39/0.60 (define @t7 () (not @t6)) % 0.39/0.60 (define @t8 () (and @t7 @t5 @t4)) % 0.39/0.60 (define @t9 () (=> @t8 (= @t3 tptp.init))) % 0.39/0.60 (define @t10 () (tptp.leq @t1 tptp.n5)) % 0.39/0.60 (define @t11 () (tptp.leq @t2 tptp.n5)) % 0.39/0.60 (define @t12 () (tptp.leq tptp.n0 @t1)) % 0.39/0.60 (define @t13 () (tptp.leq tptp.n0 @t2)) % 0.39/0.60 (define @t14 () (and @t13 @t12 @t11 @t10)) % 0.39/0.60 (define @t15 () (=> @t14 @t9)) % 0.39/0.60 (define @t16 () (@list @t2 @t1)) % 0.39/0.60 (define @t17 () (forall @t16 @t15)) % 0.39/0.60 (define @t18 () (@var "X20" $$unsorted)) % 0.39/0.60 (define @t19 () (@var "X19" $$unsorted)) % 0.39/0.60 (define @t20 () (tptp.a_select3 tptp.id_ds1_filter_init @t19 @t18)) % 0.39/0.60 (define @t21 () (tptp.leq @t18 tptp.n5)) % 0.39/0.60 (define @t22 () (tptp.leq tptp.n0 @t18)) % 0.39/0.60 (define @t23 () (and @t22 @t21)) % 0.39/0.60 (define @t24 () (=> @t23 (= @t20 tptp.init))) % 0.39/0.60 (define @t25 () (@list @t18)) % 0.39/0.60 (define @t26 () (forall @t25 @t24)) % 0.39/0.60 (define @t27 () (tptp.leq @t19 (tptp.pred tptp.pv63))) % 0.39/0.60 (define @t28 () (tptp.leq tptp.n0 @t19)) % 0.39/0.60 (define @t29 () (and @t28 @t27)) % 0.39/0.60 (define @t30 () (=> @t29 @t26)) % 0.39/0.60 (define @t31 () (@list @t19)) % 0.39/0.60 (define @t32 () (forall @t31 @t30)) % 0.39/0.60 (define @t33 () (@var "X18" $$unsorted)) % 0.39/0.60 (define @t34 () (@var "X17" $$unsorted)) % 0.39/0.60 (define @t35 () (tptp.a_select3 tptp.id_ds1_filter_init @t34 @t33)) % 0.39/0.60 (define @t36 () (tptp.gt tptp.pv63 @t34)) % 0.39/0.60 (define @t37 () (=> @t36 (= @t35 tptp.init))) % 0.39/0.60 (define @t38 () (tptp.leq @t33 tptp.n5)) % 0.39/0.60 (define @t39 () (tptp.leq @t34 tptp.n5)) % 0.39/0.60 (define @t40 () (tptp.leq tptp.n0 @t33)) % 0.39/0.60 (define @t41 () (tptp.leq tptp.n0 @t34)) % 0.39/0.60 (define @t42 () (and @t41 @t40 @t39 @t38)) % 0.39/0.60 (define @t43 () (=> @t42 @t37)) % 0.39/0.60 (define @t44 () (@list @t34 @t33)) % 0.39/0.60 (define @t45 () (forall @t44 @t43)) % 0.39/0.60 (define @t46 () (@var "X16" $$unsorted)) % 0.39/0.60 (define @t47 () (@var "X15" $$unsorted)) % 0.39/0.60 (define @t48 () (tptp.a_select3 tptp.id_ds1_filter_init @t47 @t46)) % 0.39/0.60 (define @t49 () (tptp.gt tptp.pv64 @t46)) % 0.39/0.60 (define @t50 () (= @t47 tptp.pv63)) % 0.39/0.60 (define @t51 () (and @t50 @t49)) % 0.39/0.60 (define @t52 () (=> @t51 (= @t48 tptp.init))) % 0.39/0.60 (define @t53 () (tptp.leq @t46 tptp.n5)) % 0.39/0.60 (define @t54 () (tptp.leq @t47 tptp.n5)) % 0.39/0.60 (define @t55 () (tptp.leq tptp.n0 @t46)) % 0.39/0.60 (define @t56 () (tptp.leq tptp.n0 @t47)) % 0.39/0.60 (define @t57 () (and @t56 @t55 @t54 @t53)) % 0.39/0.60 (define @t58 () (=> @t57 @t52)) % 0.39/0.60 (define @t59 () (@list @t47 @t46)) % 0.39/0.60 (define @t60 () (forall @t59 @t58)) % 0.39/0.60 (define @t61 () (@var "X14" $$unsorted)) % 0.39/0.60 (define @t62 () (@var "X13" $$unsorted)) % 0.39/0.60 (define @t63 () (tptp.a_select3 tptp.pminus_ds1_filter_init @t62 @t61)) % 0.39/0.60 (define @t64 () (tptp.leq @t61 tptp.n5)) % 0.39/0.60 (define @t65 () (tptp.leq @t62 tptp.n5)) % 0.39/0.60 (define @t66 () (tptp.leq tptp.n0 @t61)) % 0.39/0.60 (define @t67 () (tptp.leq tptp.n0 @t62)) % 0.39/0.60 (define @t68 () (and @t67 @t66 @t65 @t64)) % 0.39/0.60 (define @t69 () (=> @t68 (= @t63 tptp.init))) % 0.39/0.60 (define @t70 () (@list @t62 @t61)) % 0.39/0.60 (define @t71 () (forall @t70 @t69)) % 0.39/0.60 (define @t72 () (@var "X12" $$unsorted)) % 0.39/0.60 (define @t73 () (@var "X11" $$unsorted)) % 0.39/0.60 (define @t74 () (tptp.a_select3 tptp.xhatmin_ds1_filter_init @t73 @t72)) % 0.39/0.60 (define @t75 () (tptp.leq @t72 tptp.n0)) % 0.39/0.60 (define @t76 () (tptp.leq @t73 tptp.n5)) % 0.39/0.60 (define @t77 () (tptp.leq tptp.n0 @t72)) % 0.39/0.60 (define @t78 () (tptp.leq tptp.n0 @t73)) % 0.39/0.60 (define @t79 () (and @t78 @t77 @t76 @t75)) % 0.39/0.60 (define @t80 () (=> @t79 (= @t74 tptp.init))) % 0.39/0.60 (define @t81 () (@list @t73 @t72)) % 0.39/0.60 (define @t82 () (forall @t81 @t80)) % 0.39/0.60 (define @t83 () (@var "X10" $$unsorted)) % 0.39/0.60 (define @t84 () (@var "X9" $$unsorted)) % 0.39/0.60 (define @t85 () (tptp.a_select3 tptp.r_ds1_filter_init @t84 @t83)) % 0.39/0.60 (define @t86 () (tptp.leq @t83 tptp.n2)) % 0.39/0.60 (define @t87 () (tptp.leq @t84 tptp.n2)) % 0.39/0.60 (define @t88 () (tptp.leq tptp.n0 @t83)) % 0.39/0.60 (define @t89 () (tptp.leq tptp.n0 @t84)) % 0.39/0.60 (define @t90 () (and @t89 @t88 @t87 @t86)) % 0.39/0.60 (define @t91 () (=> @t90 (= @t85 tptp.init))) % 0.39/0.60 (define @t92 () (@list @t84 @t83)) % 0.39/0.60 (define @t93 () (forall @t92 @t91)) % 0.39/0.60 (define @t94 () (@var "X8" $$unsorted)) % 0.39/0.60 (define @t95 () (@var "X7" $$unsorted)) % 0.39/0.60 (define @t96 () (tptp.a_select3 tptp.q_ds1_filter_init @t95 @t94)) % 0.39/0.60 (define @t97 () (tptp.leq @t94 tptp.n5)) % 0.39/0.60 (define @t98 () (tptp.leq @t95 tptp.n5)) % 0.39/0.60 (define @t99 () (tptp.leq tptp.n0 @t94)) % 0.39/0.60 (define @t100 () (tptp.leq tptp.n0 @t95)) % 0.39/0.60 (define @t101 () (and @t100 @t99 @t98 @t97)) % 0.39/0.60 (define @t102 () (=> @t101 (= @t96 tptp.init))) % 0.39/0.60 (define @t103 () (@list @t95 @t94)) % 0.39/0.60 (define @t104 () (forall @t103 @t102)) % 0.39/0.60 (define @t105 () (@var "X6" $$unsorted)) % 0.39/0.60 (define @t106 () (@var "X5" $$unsorted)) % 0.39/0.60 (define @t107 () (tptp.a_select3 tptp.dv_ds1_filter_init @t106 @t105)) % 0.39/0.60 (define @t108 () (tptp.leq @t105 tptp.n0)) % 0.39/0.60 (define @t109 () (tptp.leq @t106 tptp.n5)) % 0.39/0.60 (define @t110 () (tptp.leq tptp.n0 @t105)) % 0.39/0.60 (define @t111 () (tptp.leq tptp.n0 @t106)) % 0.39/0.60 (define @t112 () (and @t111 @t110 @t109 @t108)) % 0.39/0.60 (define @t113 () (=> @t112 (= @t107 tptp.init))) % 0.39/0.60 (define @t114 () (@list @t106 @t105)) % 0.39/0.60 (define @t115 () (forall @t114 @t113)) % 0.39/0.60 (define @t116 () (@var "X4" $$unsorted)) % 0.39/0.60 (define @t117 () (@var "X3" $$unsorted)) % 0.39/0.60 (define @t118 () (tptp.a_select3 tptp.phi_ds1_filter_init @t117 @t116)) % 0.39/0.60 (define @t119 () (tptp.leq @t116 tptp.n5)) % 0.39/0.60 (define @t120 () (tptp.leq @t117 tptp.n5)) % 0.39/0.60 (define @t121 () (tptp.leq tptp.n0 @t116)) % 0.39/0.60 (define @t122 () (tptp.leq tptp.n0 @t117)) % 0.39/0.60 (define @t123 () (and @t122 @t121 @t120 @t119)) % 0.39/0.60 (define @t124 () (=> @t123 (= @t118 tptp.init))) % 0.39/0.60 (define @t125 () (@list @t117 @t116)) % 0.39/0.60 (define @t126 () (forall @t125 @t124)) % 0.39/0.60 (define @t127 () (@var "X2" $$unsorted)) % 0.39/0.60 (define @t128 () (@var "X1" $$unsorted)) % 0.39/0.60 (define @t129 () (tptp.a_select3 tptp.h_ds1_filter_init @t128 @t127)) % 0.39/0.60 (define @t130 () (tptp.leq @t127 tptp.n5)) % 0.39/0.60 (define @t131 () (tptp.leq @t128 tptp.n2)) % 0.39/0.60 (define @t132 () (tptp.leq tptp.n0 @t127)) % 0.39/0.60 (define @t133 () (tptp.leq tptp.n0 @t128)) % 0.39/0.60 (define @t134 () (and @t133 @t132 @t131 @t130)) % 0.39/0.60 (define @t135 () (=> @t134 (= @t129 tptp.init))) % 0.39/0.60 (define @t136 () (@list @t128 @t127)) % 0.39/0.60 (define @t137 () (forall @t136 @t135)) % 0.39/0.60 (define @t138 () (tptp.leq tptp.pv64 tptp.n5)) % 0.39/0.60 (define @t139 () (tptp.leq tptp.pv63 tptp.n5)) % 0.39/0.60 (define @t140 () (tptp.leq tptp.pv5 tptp.n998)) % 0.39/0.60 (define @t141 () (tptp.leq tptp.n0 tptp.pv64)) % 0.39/0.60 (define @t142 () (tptp.leq tptp.n0 tptp.pv63)) % 0.39/0.60 (define @t143 () (tptp.leq tptp.n0 tptp.pv5)) % 0.39/0.60 (define @t144 () (not (= tptp.pv63 tptp.pv64))) % 0.39/0.60 (define @t145 () (and @t144 @t143 @t142 @t141 @t140 @t139 @t138 @t137 @t126 @t115 @t104 @t93 @t82 @t71 @t60 @t45 @t32)) % 0.39/0.60 (define @t146 () (=> @t145 @t17)) % 0.39/0.60 (define @t147 () (not @t146)) % 0.39/0.60 (define @t148 () (not (not @t147))) % 0.39/0.60 (define @t149 () (= tptp.init (tptp.a_select3 tptp.id_ds1_filter_init tptp.pv63 @t1))) % 0.39/0.60 (define @t150 () (not @t4)) % 0.39/0.60 (define @t151 () (not @t10)) % 0.39/0.60 (define @t152 () (not @t12)) % 0.39/0.60 (define @t153 () (or @t152 @t151 @t6 @t150 @t149)) % 0.39/0.60 (define @t154 () (@list @t1)) % 0.39/0.60 (define @t155 () (forall @t154 @t153)) % 0.39/0.60 (define @t156 () (not @t139)) % 0.39/0.60 (define @t157 () (not @t142)) % 0.39/0.60 (define @t158 () (or @t157 @t156 @t155)) % 0.39/0.60 (define @t159 () (or @t157 @t156 @t153)) % 0.39/0.60 (define @t160 () (or @t157 @t152 @t156 @t151 @t6 @t150 @t149)) % 0.39/0.60 (define @t161 () (not (= tptp.pv63 tptp.pv63))) % 0.39/0.60 (define @t162 () (or @t157 @t152 @t156 @t151 @t6 @t161 @t150 @t149)) % 0.39/0.60 (define @t163 () (= tptp.init @t3)) % 0.39/0.60 (define @t164 () (= tptp.pv63 @t2)) % 0.39/0.60 (define @t165 () (not @t164)) % 0.39/0.60 (define @t166 () (not @t11)) % 0.39/0.60 (define @t167 () (not @t13)) % 0.39/0.60 (define @t168 () (@list @t2)) % 0.39/0.60 (define @t169 () (or @t165 @t167 @t152 @t166 @t151 @t6 @t165 @t150 @t163)) % 0.39/0.60 (define @t170 () (or @t167 @t152 @t166 @t151 @t6 @t165 @t150 @t163)) % 0.39/0.60 (define @t171 () (forall @t168 @t170)) % 0.39/0.60 (define @t172 () (forall @t154 @t171)) % 0.39/0.60 (define @t173 () (forall (@list @t1 @t2) @t170)) % 0.39/0.60 (define @t174 () (or @t6 @t165 @t150 @t163)) % 0.39/0.60 (define @t175 () (or @t167 @t152 @t166 @t151)) % 0.39/0.60 (define @t176 () (not @t7)) % 0.39/0.60 (define @t177 () (or @t176 @t165 @t150)) % 0.39/0.60 (define @t178 () (and @t7 @t164 @t4)) % 0.39/0.60 (define @t179 () (=> @t178 @t163)) % 0.39/0.60 (define @t180 () (@var "BOUND_VARIABLE_7736" $$unsorted)) % 0.39/0.60 (define @t181 () (= tptp.init (tptp.a_select3 tptp.id_ds1_filter_init @t19 @t180))) % 0.39/0.60 (define @t182 () (not (tptp.leq @t180 tptp.n5))) % 0.39/0.60 (define @t183 () (not (tptp.leq tptp.n0 @t180))) % 0.39/0.60 (define @t184 () (not @t27)) % 0.39/0.60 (define @t185 () (not @t28)) % 0.39/0.60 (define @t186 () (or @t185 @t184 @t183 @t182 @t181)) % 0.39/0.60 (define @t187 () (or @t183 @t182 @t181)) % 0.39/0.60 (define @t188 () (or @t185 @t184 @t187)) % 0.39/0.60 (define @t189 () (@list @t19 @t180)) % 0.39/0.60 (define @t190 () (forall @t189 @t188)) % 0.39/0.60 (define @t191 () (@list @t180)) % 0.39/0.60 (define @t192 () (forall @t191 @t188)) % 0.39/0.60 (define @t193 () (forall @t191 @t187)) % 0.39/0.60 (define @t194 () (or @t185 @t184 @t193)) % 0.39/0.60 (define @t195 () (= tptp.init @t20)) % 0.39/0.60 (define @t196 () (not @t21)) % 0.39/0.60 (define @t197 () (not @t22)) % 0.39/0.60 (define @t198 () (or @t197 @t196 @t195)) % 0.39/0.60 (define @t199 () (forall @t25 @t198)) % 0.39/0.60 (define @t200 () (or @t185 @t184 @t199)) % 0.39/0.60 (define @t201 () (= tptp.init @t35)) % 0.39/0.60 (define @t202 () (not @t36)) % 0.39/0.60 (define @t203 () (not @t38)) % 0.39/0.60 (define @t204 () (not @t39)) % 0.39/0.60 (define @t205 () (not @t40)) % 0.39/0.60 (define @t206 () (not @t41)) % 0.39/0.60 (define @t207 () (or @t206 @t205 @t204 @t203 @t202 @t201)) % 0.39/0.60 (define @t208 () (or @t206 @t205 @t204 @t203)) % 0.39/0.60 (define @t209 () (=> @t36 @t201)) % 0.39/0.60 (define @t210 () (= tptp.init (tptp.a_select3 tptp.id_ds1_filter_init tptp.pv63 @t46))) % 0.39/0.60 (define @t211 () (not @t49)) % 0.39/0.60 (define @t212 () (not @t53)) % 0.39/0.60 (define @t213 () (not @t55)) % 0.39/0.60 (define @t214 () (or @t213 @t212 @t211 @t210)) % 0.39/0.60 (define @t215 () (@list @t46)) % 0.39/0.60 (define @t216 () (or @t157 @t156 (forall @t215 @t214))) % 0.39/0.60 (define @t217 () (or @t157 @t156 @t214)) % 0.39/0.60 (define @t218 () (or @t157 @t213 @t156 @t212 @t211 @t210)) % 0.39/0.60 (define @t219 () (or @t157 @t213 @t156 @t212 @t161 @t211 @t210)) % 0.39/0.60 (define @t220 () (= tptp.init @t48)) % 0.39/0.60 (define @t221 () (= tptp.pv63 @t47)) % 0.39/0.60 (define @t222 () (not @t221)) % 0.39/0.60 (define @t223 () (not @t54)) % 0.39/0.60 (define @t224 () (not @t56)) % 0.39/0.60 (define @t225 () (@list @t47)) % 0.39/0.60 (define @t226 () (or @t222 @t224 @t213 @t223 @t212 @t222 @t211 @t220)) % 0.39/0.60 (define @t227 () (or @t224 @t213 @t223 @t212 @t222 @t211 @t220)) % 0.39/0.60 (define @t228 () (forall @t225 @t227)) % 0.39/0.60 (define @t229 () (forall @t215 @t228)) % 0.39/0.60 (define @t230 () (forall (@list @t46 @t47) @t227)) % 0.39/0.60 (define @t231 () (or @t222 @t211 @t220)) % 0.39/0.60 (define @t232 () (or @t224 @t213 @t223 @t212)) % 0.39/0.60 (define @t233 () (and @t221 @t49)) % 0.39/0.60 (define @t234 () (=> @t233 @t220)) % 0.39/0.60 (define @t235 () (= tptp.init @t63)) % 0.39/0.60 (define @t236 () (not @t64)) % 0.39/0.60 (define @t237 () (not @t65)) % 0.39/0.60 (define @t238 () (not @t66)) % 0.39/0.60 (define @t239 () (not @t67)) % 0.39/0.60 (define @t240 () (or @t239 @t238 @t237 @t236 @t235)) % 0.39/0.60 (define @t241 () (or @t239 @t238 @t237 @t236)) % 0.39/0.60 (define @t242 () (= tptp.init @t74)) % 0.39/0.60 (define @t243 () (not @t75)) % 0.39/0.60 (define @t244 () (not @t76)) % 0.39/0.60 (define @t245 () (not @t77)) % 0.39/0.60 (define @t246 () (not @t78)) % 0.39/0.60 (define @t247 () (or @t246 @t245 @t244 @t243 @t242)) % 0.39/0.60 (define @t248 () (or @t246 @t245 @t244 @t243)) % 0.39/0.60 (define @t249 () (= tptp.init @t85)) % 0.39/0.60 (define @t250 () (not @t86)) % 0.39/0.60 (define @t251 () (not @t87)) % 0.39/0.60 (define @t252 () (not @t88)) % 0.39/0.60 (define @t253 () (not @t89)) % 0.39/0.60 (define @t254 () (or @t253 @t252 @t251 @t250 @t249)) % 0.39/0.60 (define @t255 () (or @t253 @t252 @t251 @t250)) % 0.39/0.60 (define @t256 () (= tptp.init @t96)) % 0.39/0.60 (define @t257 () (not @t97)) % 0.39/0.60 (define @t258 () (not @t98)) % 0.39/0.60 (define @t259 () (not @t99)) % 0.39/0.60 (define @t260 () (not @t100)) % 0.39/0.60 (define @t261 () (or @t260 @t259 @t258 @t257 @t256)) % 0.39/0.60 (define @t262 () (or @t260 @t259 @t258 @t257)) % 0.39/0.60 (define @t263 () (= tptp.init @t107)) % 0.39/0.60 (define @t264 () (not @t108)) % 0.39/0.60 (define @t265 () (not @t109)) % 0.39/0.60 (define @t266 () (not @t110)) % 0.39/0.60 (define @t267 () (not @t111)) % 0.39/0.60 (define @t268 () (or @t267 @t266 @t265 @t264 @t263)) % 0.39/0.60 (define @t269 () (or @t267 @t266 @t265 @t264)) % 0.39/0.60 (define @t270 () (= tptp.init @t118)) % 0.39/0.60 (define @t271 () (not @t119)) % 0.39/0.60 (define @t272 () (not @t120)) % 0.39/0.60 (define @t273 () (not @t121)) % 0.39/0.60 (define @t274 () (not @t122)) % 0.39/0.60 (define @t275 () (or @t274 @t273 @t272 @t271 @t270)) % 0.39/0.60 (define @t276 () (or @t274 @t273 @t272 @t271)) % 0.39/0.60 (define @t277 () (= tptp.init @t129)) % 0.39/0.60 (define @t278 () (not @t130)) % 0.39/0.60 (define @t279 () (not @t131)) % 0.39/0.60 (define @t280 () (not @t132)) % 0.39/0.60 (define @t281 () (not @t133)) % 0.39/0.60 (define @t282 () (or @t281 @t280 @t279 @t278 @t277)) % 0.39/0.60 (define @t283 () (or @t281 @t280 @t279 @t278)) % 0.39/0.60 (define @t284 () (and (not (= tptp.pv64 tptp.pv63)) @t143 @t142 @t141 @t140 @t139 @t138 (forall @t136 @t282) (forall @t125 @t275) (forall @t114 @t268) (forall @t103 @t261) (forall @t92 @t254) (forall @t81 @t247) (forall @t70 @t240) @t216 (forall @t44 @t207) (forall @t189 @t186))) % 0.39/0.60 (define @t285 () (@list false)) % 0.39/0.60 (assume @p1 @t146) % 0.39/0.60 (assume @p2 @t148) % 0.39/0.60 (assume @p3 true) % 0.39/0.60 (step @p4 :rule quant-miniscope-or :args ((= (forall @t154 @t159) @t158))) % 0.39/0.60 (step @p5 :rule aci_norm :args ((= @t160 @t159))) % 0.39/0.60 (step @p6 :rule cong :premises (@p5) :args ((forall @t154 @t160))) % 0.39/0.60 (step @p7 :rule trans :premises (@p6 @p4)) % 0.39/0.60 (step @p8 :rule aci_norm :args ((= (or @t157 @t152 @t156 @t151 @t6 false @t150 @t149) @t160))) % 0.39/0.60 (step @p9 :rule refl :args (@t149)) % 0.39/0.60 (step @p10 :rule refl :args (@t150)) % 0.39/0.60 (step @p11 :rule evaluate :args ((not true))) % 0.39/0.60 (step @p12 :rule eq-refl :args (tptp.pv63)) % 0.39/0.60 (step @p13 :rule cong :premises (@p12) :args (@t161)) % 0.39/0.60 (step @p14 :rule trans :premises (@p13 @p11)) % 0.39/0.60 (step @p15 :rule refl :args (@t6)) % 0.39/0.60 (step @p16 :rule refl :args (@t151)) % 0.39/0.60 (step @p17 :rule refl :args (@t156)) % 0.39/0.60 (step @p18 :rule refl :args (@t152)) % 0.39/0.60 (step @p19 :rule refl :args (@t157)) % 0.39/0.60 (step @p20 :rule nary_cong :premises (@p19 @p18 @p17 @p16 @p15 @p14 @p10 @p9) :args (@t162)) % 0.39/0.60 (step @p21 :rule trans :premises (@p20 @p8)) % 0.39/0.60 (step @p22 :rule cong :premises (@p21) :args ((forall @t154 @t162))) % 0.39/0.60 (step @p23 :rule trans :premises (@p22 @p7)) % 0.39/0.60 (step @p24 :rule quant-var-elim-eq :args ((= (forall @t168 (or (not @t5) @t167 @t152 @t166 @t151 @t6 @t165 @t150 @t163)) @t162))) % 0.39/0.60 (step @p25 :rule refl :args (@t163)) % 0.39/0.60 (step @p26 :rule refl :args (@t150)) % 0.39/0.60 (step @p27 :rule refl :args (@t165)) % 0.39/0.60 (step @p28 :rule refl :args (@t6)) % 0.39/0.60 (step @p29 :rule refl :args (@t151)) % 0.39/0.60 (step @p30 :rule refl :args (@t166)) % 0.39/0.60 (step @p31 :rule refl :args (@t152)) % 0.39/0.60 (step @p32 :rule refl :args (@t167)) % 0.39/0.60 (step @p33 :rule eq-symm :args (tptp.pv63 @t2)) % 0.39/0.60 (step @p34 :rule cong :premises (@p33) :args (@t165)) % 0.39/0.60 (step @p35 :rule nary_cong :premises (@p34 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25) :args (@t169)) % 0.39/0.60 (step @p36 :rule aci_norm :args ((= @t170 @t169))) % 0.39/0.60 (step @p37 :rule trans :premises (@p36 @p35)) % 0.39/0.60 (step @p38 :rule cong :premises (@p37) :args (@t171)) % 0.39/0.60 (step @p39 :rule trans :premises (@p38 @p24)) % 0.39/0.60 (step @p40 :rule cong :premises (@p39) :args (@t172)) % 0.39/0.60 (step @p41 :rule quant-merge-prenex :args ((= @t172 @t173))) % 0.39/0.60 (step @p42 :rule symm :premises (@p41)) % 0.39/0.60 (step @p43 :rule quant_var_reordering :args ((= (forall @t16 @t170) @t173))) % 0.39/0.60 (step @p44 :rule trans :premises (@p43 @p42 @p40)) % 0.39/0.60 (step @p45 :rule trans :premises (@p44 @p23)) % 0.39/0.60 (step @p46 :rule aci_norm :args ((= (or @t175 @t174) @t170))) % 0.39/0.60 (step @p47 :rule aci_norm :args ((= (or (or @t6 @t165 @t150) @t163) @t174))) % 0.39/0.60 (step @p48 :rule bool-double-not-elim :args (@t6)) % 0.39/0.60 (step @p49 :rule nary_cong :premises (@p48 @p27 @p26) :args (@t177)) % 0.39/0.60 (step @p50 :rule aci_norm :args ((= (or @t176 (or @t165 @t150)) @t177))) % 0.39/0.60 (step @p51 :rule trans :premises (@p50 @p49)) % 0.39/0.60 (step @p52 :rule bool-and-de-morgan :args (@t164 @t4 true)) % 0.39/0.60 (step @p53 :rule refl :args (@t176)) % 0.39/0.60 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or @t176 (not (and @t164 @t4))))) % 0.39/0.60 (step @p55 :rule bool-and-de-morgan :args (@t7 @t164 (and @t4))) % 0.39/0.60 (step @p56 :rule trans :premises (@p55 @p54)) % 0.39/0.60 (step @p57 :rule trans :premises (@p56 @p51)) % 0.39/0.60 (step @p58 :rule nary_cong :premises (@p57 @p25) :args ((or (not @t178) @t163))) % 0.39/0.60 (step @p59 :rule trans :premises (@p58 @p47)) % 0.39/0.60 (step @p60 :rule bool-impl-elim :args (@t178 @t163)) % 0.39/0.60 (step @p61 :rule trans :premises (@p60 @p59)) % 0.39/0.60 (step @p62 :rule aci_norm :args ((= (or @t167 (or @t152 (or @t166 @t151))) @t175))) % 0.39/0.60 (step @p63 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 0.39/0.60 (step @p64 :rule nary_cong :premises (@p31 @p63) :args ((or @t152 (not (and @t11 @t10))))) % 0.39/0.60 (step @p65 :rule bool-and-de-morgan :args (@t12 @t11 (and @t10))) % 0.39/0.60 (step @p66 :rule trans :premises (@p65 @p64)) % 0.39/0.60 (step @p67 :rule nary_cong :premises (@p32 @p66) :args ((or @t167 (not (and @t12 @t11 @t10))))) % 0.39/0.60 (step @p68 :rule bool-and-de-morgan :args (@t13 @t12 (and @t11 @t10))) % 0.39/0.60 (step @p69 :rule trans :premises (@p68 @p67)) % 0.39/0.60 (step @p70 :rule trans :premises (@p69 @p62)) % 0.39/0.60 (step @p71 :rule nary_cong :premises (@p70 @p61) :args ((or (not @t14) @t179))) % 0.39/0.60 (step @p72 :rule trans :premises (@p71 @p46)) % 0.39/0.60 (step @p73 :rule bool-impl-elim :args (@t14 @t179)) % 0.39/0.60 (step @p74 :rule trans :premises (@p73 @p72)) % 0.39/0.60 (step @p75 :rule cong :premises (@p74) :args ((forall @t16 (=> @t14 @t179)))) % 0.39/0.60 (step @p76 :rule trans :premises (@p75 @p45)) % 0.39/0.60 (step @p77 :rule eq-symm :args (@t3 tptp.init)) % 0.39/0.60 (step @p78 :rule refl :args (@t4)) % 0.39/0.60 (step @p79 :rule eq-symm :args (@t2 tptp.pv63)) % 0.39/0.60 (step @p80 :rule refl :args (@t7)) % 0.39/0.60 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78) :args (@t8)) % 0.39/0.60 (step @p82 :rule cong :premises (@p81 @p77) :args (@t9)) % 0.39/0.60 (step @p83 :rule refl :args (@t14)) % 0.39/0.60 (step @p84 :rule cong :premises (@p83 @p82) :args (@t15)) % 0.39/0.60 (step @p85 :rule cong :premises (@p84) :args (@t17)) % 0.39/0.60 (step @p86 :rule trans :premises (@p85 @p76)) % 0.39/0.60 (step @p87 :rule aci_norm :args ((= @t188 @t186))) % 0.39/0.60 (step @p88 :rule cong :premises (@p87) :args (@t190)) % 0.39/0.60 (step @p89 :rule quant-merge-prenex :args ((= (forall @t31 @t192) @t190))) % 0.39/0.60 (step @p90 :rule alpha_equiv :args (@t193 (@list @t180) (@list @t18))) % 0.39/0.60 (step @p91 :rule refl :args (@t184)) % 0.39/0.60 (step @p92 :rule refl :args (@t185)) % 0.39/0.60 (step @p93 :rule nary_cong :premises (@p92 @p91 @p90) :args (@t194)) % 0.39/0.60 (step @p94 :rule quant-miniscope-or :args ((= @t192 @t194))) % 0.39/0.60 (step @p95 :rule trans :premises (@p94 @p93)) % 0.39/0.60 (step @p96 :rule symm :premises (@p95)) % 0.39/0.60 (step @p97 :rule cong :premises (@p96) :args ((forall @t31 @t200))) % 0.39/0.60 (step @p98 :rule trans :premises (@p97 @p89)) % 0.39/0.60 (step @p99 :rule trans :premises (@p98 @p88)) % 0.39/0.60 (step @p100 :rule aci_norm :args ((= (or (or @t185 @t184) @t199) @t200))) % 0.39/0.60 (step @p101 :rule refl :args (@t199)) % 0.39/0.60 (step @p102 :rule bool-and-de-morgan :args (@t28 @t27 true)) % 0.39/0.60 (step @p103 :rule nary_cong :premises (@p102 @p101) :args ((or (not @t29) @t199))) % 0.39/0.60 (step @p104 :rule trans :premises (@p103 @p100)) % 0.39/0.60 (step @p105 :rule bool-impl-elim :args (@t29 @t199)) % 0.39/0.60 (step @p106 :rule trans :premises (@p105 @p104)) % 0.39/0.60 (step @p107 :rule cong :premises (@p106) :args ((forall @t31 (=> @t29 @t199)))) % 0.39/0.60 (step @p108 :rule trans :premises (@p107 @p99)) % 0.39/0.60 (step @p109 :rule aci_norm :args ((= (or (or @t197 @t196) @t195) @t198))) % 0.39/0.60 (step @p110 :rule refl :args (@t195)) % 0.39/0.60 (step @p111 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 0.39/0.60 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or (not @t23) @t195))) % 0.39/0.60 (step @p113 :rule trans :premises (@p112 @p109)) % 0.39/0.60 (step @p114 :rule bool-impl-elim :args (@t23 @t195)) % 0.39/0.60 (step @p115 :rule trans :premises (@p114 @p113)) % 0.39/0.60 (step @p116 :rule cong :premises (@p115) :args ((forall @t25 (=> @t23 @t195)))) % 0.39/0.60 (step @p117 :rule eq-symm :args (@t20 tptp.init)) % 0.39/0.60 (step @p118 :rule refl :args (@t23)) % 0.39/0.60 (step @p119 :rule cong :premises (@p118 @p117) :args (@t24)) % 0.39/0.60 (step @p120 :rule cong :premises (@p119) :args (@t26)) % 0.39/0.60 (step @p121 :rule trans :premises (@p120 @p116)) % 0.39/0.60 (step @p122 :rule refl :args (@t29)) % 0.39/0.60 (step @p123 :rule cong :premises (@p122 @p121) :args (@t30)) % 0.39/0.60 (step @p124 :rule cong :premises (@p123) :args (@t32)) % 0.39/0.60 (step @p125 :rule trans :premises (@p124 @p108)) % 0.39/0.60 (step @p126 :rule aci_norm :args ((= (or @t208 (or @t202 @t201)) @t207))) % 0.39/0.60 (step @p127 :rule bool-impl-elim :args (@t36 @t201)) % 0.39/0.60 (step @p128 :rule aci_norm :args ((= (or @t206 (or @t205 (or @t204 @t203))) @t208))) % 0.39/0.60 (step @p129 :rule bool-and-de-morgan :args (@t39 @t38 true)) % 0.39/0.60 (step @p130 :rule refl :args (@t205)) % 0.39/0.60 (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((or @t205 (not (and @t39 @t38))))) % 0.39/0.60 (step @p132 :rule bool-and-de-morgan :args (@t40 @t39 (and @t38))) % 0.39/0.60 (step @p133 :rule trans :premises (@p132 @p131)) % 0.39/0.60 (step @p134 :rule refl :args (@t206)) % 0.39/0.60 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t206 (not (and @t40 @t39 @t38))))) % 0.39/0.60 (step @p136 :rule bool-and-de-morgan :args (@t41 @t40 (and @t39 @t38))) % 0.39/0.60 (step @p137 :rule trans :premises (@p136 @p135)) % 0.39/0.60 (step @p138 :rule trans :premises (@p137 @p128)) % 0.39/0.60 (step @p139 :rule nary_cong :premises (@p138 @p127) :args ((or (not @t42) @t209))) % 0.39/0.60 (step @p140 :rule trans :premises (@p139 @p126)) % 0.39/0.60 (step @p141 :rule bool-impl-elim :args (@t42 @t209)) % 0.39/0.60 (step @p142 :rule trans :premises (@p141 @p140)) % 0.39/0.60 (step @p143 :rule cong :premises (@p142) :args ((forall @t44 (=> @t42 @t209)))) % 0.39/0.60 (step @p144 :rule eq-symm :args (@t35 tptp.init)) % 0.39/0.60 (step @p145 :rule refl :args (@t36)) % 0.39/0.60 (step @p146 :rule cong :premises (@p145 @p144) :args (@t37)) % 0.39/0.60 (step @p147 :rule refl :args (@t42)) % 0.39/0.60 (step @p148 :rule cong :premises (@p147 @p146) :args (@t43)) % 0.39/0.60 (step @p149 :rule cong :premises (@p148) :args (@t45)) % 0.39/0.60 (step @p150 :rule trans :premises (@p149 @p143)) % 0.39/0.60 (step @p151 :rule quant-miniscope-or :args ((= (forall @t215 @t217) @t216))) % 0.39/0.60 (step @p152 :rule aci_norm :args ((= @t218 @t217))) % 0.39/0.60 (step @p153 :rule cong :premises (@p152) :args ((forall @t215 @t218))) % 0.39/0.60 (step @p154 :rule trans :premises (@p153 @p151)) % 0.39/0.60 (step @p155 :rule aci_norm :args ((= (or @t157 @t213 @t156 @t212 false @t211 @t210) @t218))) % 0.39/0.60 (step @p156 :rule refl :args (@t210)) % 0.39/0.60 (step @p157 :rule refl :args (@t211)) % 0.39/0.60 (step @p158 :rule refl :args (@t212)) % 0.39/0.60 (step @p159 :rule refl :args (@t213)) % 0.39/0.60 (step @p160 :rule nary_cong :premises (@p19 @p159 @p17 @p158 @p14 @p157 @p156) :args (@t219)) % 0.39/0.60 (step @p161 :rule trans :premises (@p160 @p155)) % 0.39/0.60 (step @p162 :rule cong :premises (@p161) :args ((forall @t215 @t219))) % 0.39/0.60 (step @p163 :rule trans :premises (@p162 @p154)) % 0.39/0.60 (step @p164 :rule quant-var-elim-eq :args ((= (forall @t225 (or (not @t50) @t224 @t213 @t223 @t212 @t222 @t211 @t220)) @t219))) % 0.39/0.60 (step @p165 :rule refl :args (@t220)) % 0.39/0.60 (step @p166 :rule refl :args (@t211)) % 0.39/0.60 (step @p167 :rule refl :args (@t222)) % 0.39/0.60 (step @p168 :rule refl :args (@t212)) % 0.39/0.60 (step @p169 :rule refl :args (@t223)) % 0.39/0.60 (step @p170 :rule refl :args (@t213)) % 0.39/0.60 (step @p171 :rule refl :args (@t224)) % 0.39/0.60 (step @p172 :rule eq-symm :args (tptp.pv63 @t47)) % 0.39/0.60 (step @p173 :rule cong :premises (@p172) :args (@t222)) % 0.39/0.60 (step @p174 :rule nary_cong :premises (@p173 @p171 @p170 @p169 @p168 @p167 @p166 @p165) :args (@t226)) % 0.39/0.60 (step @p175 :rule aci_norm :args ((= @t227 @t226))) % 0.39/0.60 (step @p176 :rule trans :premises (@p175 @p174)) % 0.39/0.60 (step @p177 :rule cong :premises (@p176) :args (@t228)) % 0.39/0.60 (step @p178 :rule trans :premises (@p177 @p164)) % 0.39/0.60 (step @p179 :rule cong :premises (@p178) :args (@t229)) % 0.39/0.60 (step @p180 :rule quant-merge-prenex :args ((= @t229 @t230))) % 0.39/0.60 (step @p181 :rule symm :premises (@p180)) % 0.39/0.60 (step @p182 :rule quant_var_reordering :args ((= (forall @t59 @t227) @t230))) % 0.39/0.60 (step @p183 :rule trans :premises (@p182 @p181 @p179)) % 0.39/0.60 (step @p184 :rule trans :premises (@p183 @p163)) % 0.39/0.60 (step @p185 :rule aci_norm :args ((= (or @t232 @t231) @t227))) % 0.39/0.60 (step @p186 :rule aci_norm :args ((= (or (or @t222 @t211) @t220) @t231))) % 0.39/0.60 (step @p187 :rule bool-and-de-morgan :args (@t221 @t49 true)) % 0.39/0.60 (step @p188 :rule nary_cong :premises (@p187 @p165) :args ((or (not @t233) @t220))) % 0.39/0.60 (step @p189 :rule trans :premises (@p188 @p186)) % 0.39/0.60 (step @p190 :rule bool-impl-elim :args (@t233 @t220)) % 0.39/0.60 (step @p191 :rule trans :premises (@p190 @p189)) % 0.39/0.60 (step @p192 :rule aci_norm :args ((= (or @t224 (or @t213 (or @t223 @t212))) @t232))) % 0.39/0.60 (step @p193 :rule bool-and-de-morgan :args (@t54 @t53 true)) % 0.39/0.60 (step @p194 :rule nary_cong :premises (@p170 @p193) :args ((or @t213 (not (and @t54 @t53))))) % 0.39/0.60 (step @p195 :rule bool-and-de-morgan :args (@t55 @t54 (and @t53))) % 0.39/0.60 (step @p196 :rule trans :premises (@p195 @p194)) % 0.39/0.60 (step @p197 :rule nary_cong :premises (@p171 @p196) :args ((or @t224 (not (and @t55 @t54 @t53))))) % 0.39/0.60 (step @p198 :rule bool-and-de-morgan :args (@t56 @t55 (and @t54 @t53))) % 0.39/0.60 (step @p199 :rule trans :premises (@p198 @p197)) % 0.39/0.60 (step @p200 :rule trans :premises (@p199 @p192)) % 0.39/0.60 (step @p201 :rule nary_cong :premises (@p200 @p191) :args ((or (not @t57) @t234))) % 0.39/0.60 (step @p202 :rule trans :premises (@p201 @p185)) % 0.39/0.60 (step @p203 :rule bool-impl-elim :args (@t57 @t234)) % 0.39/0.60 (step @p204 :rule trans :premises (@p203 @p202)) % 0.39/0.60 (step @p205 :rule cong :premises (@p204) :args ((forall @t59 (=> @t57 @t234)))) % 0.39/0.60 (step @p206 :rule trans :premises (@p205 @p184)) % 0.39/0.60 (step @p207 :rule eq-symm :args (@t48 tptp.init)) % 0.39/0.60 (step @p208 :rule refl :args (@t49)) % 0.39/0.60 (step @p209 :rule eq-symm :args (@t47 tptp.pv63)) % 0.39/0.60 (step @p210 :rule nary_cong :premises (@p209 @p208) :args (@t51)) % 0.39/0.60 (step @p211 :rule cong :premises (@p210 @p207) :args (@t52)) % 0.39/0.60 (step @p212 :rule refl :args (@t57)) % 0.39/0.60 (step @p213 :rule cong :premises (@p212 @p211) :args (@t58)) % 0.39/0.60 (step @p214 :rule cong :premises (@p213) :args (@t60)) % 0.39/0.60 (step @p215 :rule trans :premises (@p214 @p206)) % 0.39/0.60 (step @p216 :rule aci_norm :args ((= (or @t241 @t235) @t240))) % 0.39/0.60 (step @p217 :rule refl :args (@t235)) % 0.39/0.60 (step @p218 :rule aci_norm :args ((= (or @t239 (or @t238 (or @t237 @t236))) @t241))) % 0.39/0.60 (step @p219 :rule bool-and-de-morgan :args (@t65 @t64 true)) % 0.39/0.60 (step @p220 :rule refl :args (@t238)) % 0.39/0.60 (step @p221 :rule nary_cong :premises (@p220 @p219) :args ((or @t238 (not (and @t65 @t64))))) % 0.39/0.60 (step @p222 :rule bool-and-de-morgan :args (@t66 @t65 (and @t64))) % 0.39/0.60 (step @p223 :rule trans :premises (@p222 @p221)) % 0.39/0.60 (step @p224 :rule refl :args (@t239)) % 0.39/0.60 (step @p225 :rule nary_cong :premises (@p224 @p223) :args ((or @t239 (not (and @t66 @t65 @t64))))) % 0.39/0.60 (step @p226 :rule bool-and-de-morgan :args (@t67 @t66 (and @t65 @t64))) % 0.39/0.60 (step @p227 :rule trans :premises (@p226 @p225)) % 0.39/0.60 (step @p228 :rule trans :premises (@p227 @p218)) % 0.39/0.60 (step @p229 :rule nary_cong :premises (@p228 @p217) :args ((or (not @t68) @t235))) % 0.39/0.60 (step @p230 :rule trans :premises (@p229 @p216)) % 0.39/0.60 (step @p231 :rule bool-impl-elim :args (@t68 @t235)) % 0.39/0.60 (step @p232 :rule trans :premises (@p231 @p230)) % 0.39/0.60 (step @p233 :rule cong :premises (@p232) :args ((forall @t70 (=> @t68 @t235)))) % 0.39/0.60 (step @p234 :rule eq-symm :args (@t63 tptp.init)) % 0.39/0.60 (step @p235 :rule refl :args (@t68)) % 0.39/0.60 (step @p236 :rule cong :premises (@p235 @p234) :args (@t69)) % 0.39/0.60 (step @p237 :rule cong :premises (@p236) :args (@t71)) % 0.39/0.60 (step @p238 :rule trans :premises (@p237 @p233)) % 0.39/0.60 (step @p239 :rule aci_norm :args ((= (or @t248 @t242) @t247))) % 0.39/0.60 (step @p240 :rule refl :args (@t242)) % 0.39/0.60 (step @p241 :rule aci_norm :args ((= (or @t246 (or @t245 (or @t244 @t243))) @t248))) % 0.39/0.60 (step @p242 :rule bool-and-de-morgan :args (@t76 @t75 true)) % 0.39/0.60 (step @p243 :rule refl :args (@t245)) % 0.39/0.60 (step @p244 :rule nary_cong :premises (@p243 @p242) :args ((or @t245 (not (and @t76 @t75))))) % 0.39/0.60 (step @p245 :rule bool-and-de-morgan :args (@t77 @t76 (and @t75))) % 0.39/0.60 (step @p246 :rule trans :premises (@p245 @p244)) % 0.39/0.60 (step @p247 :rule refl :args (@t246)) % 0.39/0.60 (step @p248 :rule nary_cong :premises (@p247 @p246) :args ((or @t246 (not (and @t77 @t76 @t75))))) % 0.39/0.60 (step @p249 :rule bool-and-de-morgan :args (@t78 @t77 (and @t76 @t75))) % 0.39/0.60 (step @p250 :rule trans :premises (@p249 @p248)) % 0.39/0.60 (step @p251 :rule trans :premises (@p250 @p241)) % 0.39/0.60 (step @p252 :rule nary_cong :premises (@p251 @p240) :args ((or (not @t79) @t242))) % 0.39/0.60 (step @p253 :rule trans 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@t86))))) % 0.39/0.60 (step @p268 :rule bool-and-de-morgan :args (@t88 @t87 (and @t86))) % 0.39/0.60 (step @p269 :rule trans :premises (@p268 @p267)) % 0.39/0.60 (step @p270 :rule refl :args (@t253)) % 0.39/0.60 (step @p271 :rule nary_cong :premises (@p270 @p269) :args ((or @t253 (not (and @t88 @t87 @t86))))) % 0.39/0.60 (step @p272 :rule bool-and-de-morgan :args (@t89 @t88 (and @t87 @t86))) % 0.39/0.60 (step @p273 :rule trans :premises (@p272 @p271)) % 0.39/0.60 (step @p274 :rule trans :premises (@p273 @p264)) % 0.39/0.60 (step @p275 :rule nary_cong :premises (@p274 @p263) :args ((or (not @t90) @t249))) % 0.39/0.60 (step @p276 :rule trans :premises (@p275 @p262)) % 0.39/0.60 (step @p277 :rule bool-impl-elim :args (@t90 @t249)) % 0.39/0.60 (step @p278 :rule trans :premises (@p277 @p276)) % 0.39/0.60 (step @p279 :rule cong :premises (@p278) :args ((forall @t92 (=> @t90 @t249)))) % 0.39/0.60 (step @p280 :rule eq-symm :args (@t85 tptp.init)) % 0.39/0.60 (step @p281 :rule refl :args 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bool-and-de-morgan :args (@t100 @t99 (and @t98 @t97))) % 0.39/0.60 (step @p296 :rule trans :premises (@p295 @p294)) % 0.39/0.60 (step @p297 :rule trans :premises (@p296 @p287)) % 0.39/0.60 (step @p298 :rule nary_cong :premises (@p297 @p286) :args ((or (not @t101) @t256))) % 0.39/0.60 (step @p299 :rule trans :premises (@p298 @p285)) % 0.39/0.60 (step @p300 :rule bool-impl-elim :args (@t101 @t256)) % 0.39/0.60 (step @p301 :rule trans :premises (@p300 @p299)) % 0.39/0.60 (step @p302 :rule cong :premises (@p301) :args ((forall @t103 (=> @t101 @t256)))) % 0.39/0.60 (step @p303 :rule eq-symm :args (@t96 tptp.init)) % 0.39/0.60 (step @p304 :rule refl :args (@t101)) % 0.39/0.60 (step @p305 :rule cong :premises (@p304 @p303) :args (@t102)) % 0.39/0.60 (step @p306 :rule cong :premises (@p305) :args (@t104)) % 0.39/0.60 (step @p307 :rule trans :premises (@p306 @p302)) % 0.39/0.60 (step @p308 :rule aci_norm :args ((= (or @t269 @t263) @t268))) % 0.39/0.60 (step @p309 :rule refl :args (@t263)) % 0.39/0.60 (step @p310 :rule aci_norm :args ((= (or @t267 (or @t266 (or @t265 @t264))) @t269))) % 0.39/0.60 (step @p311 :rule bool-and-de-morgan :args (@t109 @t108 true)) % 0.39/0.60 (step @p312 :rule refl :args (@t266)) % 0.39/0.60 (step @p313 :rule nary_cong :premises (@p312 @p311) :args ((or @t266 (not (and @t109 @t108))))) % 0.39/0.60 (step @p314 :rule bool-and-de-morgan :args (@t110 @t109 (and @t108))) % 0.39/0.60 (step @p315 :rule trans :premises (@p314 @p313)) % 0.39/0.60 (step @p316 :rule refl :args (@t267)) % 0.39/0.60 (step @p317 :rule nary_cong :premises (@p316 @p315) :args ((or @t267 (not (and @t110 @t109 @t108))))) % 0.39/0.60 (step @p318 :rule bool-and-de-morgan :args (@t111 @t110 (and @t109 @t108))) % 0.39/0.60 (step @p319 :rule trans :premises (@p318 @p317)) % 0.39/0.60 (step @p320 :rule trans :premises (@p319 @p310)) % 0.39/0.60 (step @p321 :rule nary_cong :premises (@p320 @p309) :args ((or (not @t112) @t263))) % 0.39/0.60 (step @p322 :rule trans :premises (@p321 @p308)) % 0.39/0.60 (step @p323 :rule bool-impl-elim :args (@t112 @t263)) % 0.39/0.60 (step @p324 :rule trans :premises (@p323 @p322)) % 0.39/0.60 (step @p325 :rule cong :premises (@p324) :args ((forall @t114 (=> @t112 @t263)))) % 0.39/0.60 (step @p326 :rule eq-symm :args (@t107 tptp.init)) % 0.39/0.60 (step @p327 :rule refl :args (@t112)) % 0.39/0.60 (step @p328 :rule cong :premises (@p327 @p326) :args (@t113)) % 0.39/0.60 (step @p329 :rule cong :premises (@p328) :args (@t115)) % 0.39/0.60 (step @p330 :rule trans :premises (@p329 @p325)) % 0.39/0.60 (step @p331 :rule aci_norm :args ((= (or @t276 @t270) @t275))) % 0.39/0.60 (step @p332 :rule refl :args (@t270)) % 0.39/0.60 (step @p333 :rule aci_norm :args ((= (or @t274 (or @t273 (or @t272 @t271))) @t276))) % 0.39/0.60 (step @p334 :rule bool-and-de-morgan :args (@t120 @t119 true)) % 0.39/0.60 (step @p335 :rule refl :args (@t273)) % 0.39/0.60 (step @p336 :rule nary_cong :premises (@p335 @p334) :args ((or @t273 (not (and @t120 @t119))))) % 0.39/0.60 (step @p337 :rule bool-and-de-morgan :args (@t121 @t120 (and @t119))) % 0.39/0.60 (step @p338 :rule trans :premises (@p337 @p336)) % 0.39/0.60 (step @p339 :rule refl :args (@t274)) % 0.39/0.60 (step @p340 :rule nary_cong :premises (@p339 @p338) :args ((or @t274 (not (and @t121 @t120 @t119))))) % 0.39/0.60 (step @p341 :rule bool-and-de-morgan :args (@t122 @t121 (and @t120 @t119))) % 0.39/0.60 (step @p342 :rule trans :premises (@p341 @p340)) % 0.39/0.60 (step @p343 :rule trans :premises (@p342 @p333)) % 0.39/0.60 (step @p344 :rule nary_cong :premises (@p343 @p332) :args ((or (not @t123) @t270))) % 0.39/0.60 (step @p345 :rule trans :premises (@p344 @p331)) % 0.39/0.60 (step @p346 :rule bool-impl-elim :args (@t123 @t270)) % 0.39/0.60 (step @p347 :rule trans :premises (@p346 @p345)) % 0.39/0.60 (step @p348 :rule cong :premises (@p347) :args ((forall @t125 (=> @t123 @t270)))) % 0.39/0.60 (step @p349 :rule eq-symm :args (@t118 tptp.init)) % 0.39/0.60 (step @p350 :rule refl :args (@t123)) % 0.39/0.60 (step @p351 :rule cong :premises (@p350 @p349) :args (@t124)) % 0.39/0.60 (step @p352 :rule cong :premises (@p351) :args (@t126)) % 0.39/0.60 (step @p353 :rule trans :premises (@p352 @p348)) % 0.39/0.60 (step @p354 :rule aci_norm :args ((= (or @t283 @t277) @t282))) % 0.39/0.60 (step @p355 :rule refl :args (@t277)) % 0.39/0.60 (step @p356 :rule aci_norm :args ((= (or @t281 (or @t280 (or @t279 @t278))) @t283))) % 0.39/0.60 (step @p357 :rule bool-and-de-morgan :args (@t131 @t130 true)) % 0.39/0.60 (step @p358 :rule refl :args (@t280)) % 0.39/0.60 (step @p359 :rule nary_cong :premises (@p358 @p357) :args ((or @t280 (not (and @t131 @t130))))) % 0.39/0.60 (step @p360 :rule bool-and-de-morgan :args (@t132 @t131 (and @t130))) % 0.39/0.60 (step @p361 :rule trans :premises (@p360 @p359)) % 0.39/0.60 (step @p362 :rule refl :args (@t281)) % 0.39/0.60 (step @p363 :rule nary_cong :premises (@p362 @p361) :args ((or @t281 (not (and @t132 @t131 @t130))))) % 0.39/0.60 (step @p364 :rule bool-and-de-morgan :args (@t133 @t132 (and @t131 @t130))) % 0.39/0.60 (step @p365 :rule trans :premises (@p364 @p363)) % 0.39/0.60 (step @p366 :rule trans :premises (@p365 @p356)) % 0.39/0.60 (step @p367 :rule nary_cong :premises (@p366 @p355) :args ((or (not @t134) @t277))) % 0.39/0.60 (step @p368 :rule trans :premises (@p367 @p354)) % 0.39/0.60 (step @p369 :rule bool-impl-elim :args (@t134 @t277)) % 0.39/0.60 (step @p370 :rule trans :premises (@p369 @p368)) % 0.39/0.60 (step @p371 :rule cong :premises (@p370) :args ((forall @t136 (=> @t134 @t277)))) % 0.39/0.60 (step @p372 :rule eq-symm :args (@t129 tptp.init)) % 0.39/0.60 (step @p373 :rule refl :args (@t134)) % 0.39/0.60 (step @p374 :rule cong :premises (@p373 @p372) :args (@t135)) % 0.39/0.60 (step @p375 :rule cong :premises (@p374) :args (@t137)) % 0.39/0.60 (step @p376 :rule trans :premises (@p375 @p371)) % 0.39/0.60 (step @p377 :rule refl :args (@t138)) % 0.39/0.60 (step @p378 :rule refl :args (@t139)) % 0.39/0.60 (step @p379 :rule refl :args (@t140)) % 0.39/0.60 (step @p380 :rule refl :args (@t141)) % 0.39/0.60 (step @p381 :rule refl :args (@t142)) % 0.39/0.60 (step @p382 :rule refl :args (@t143)) % 0.39/0.60 (step @p383 :rule eq-symm :args (tptp.pv63 tptp.pv64)) % 0.39/0.60 (step @p384 :rule cong :premises (@p383) :args (@t144)) % 0.39/0.60 (step @p385 :rule nary_cong :premises (@p384 @p382 @p381 @p380 @p379 @p378 @p377 @p376 @p353 @p330 @p307 @p284 @p261 @p238 @p215 @p150 @p125) :args (@t145)) % 0.39/0.60 (step @p386 :rule cong :premises (@p385 @p86) :args (@t146)) % 0.39/0.60 (step @p387 :rule cong :premises (@p386) :args (@t147)) % 0.39/0.60 (step @p388 :rule bool-double-not-elim :args (@t146)) % 0.39/0.60 (step @p389 :rule cong :premises (@p388) :args (@t148)) % 0.39/0.60 (step @p390 :rule trans :premises (@p389 @p387)) % 0.39/0.60 (step @p391 :rule eq_resolve :premises (@p2 @p390)) % 0.39/0.60 (step @p392 :rule not_implies_elim1 :premises (@p391)) % 0.39/0.60 (step @p393 :rule eq_resolve :premises (@p1 @p386)) % 0.39/0.60 (step @p394 :rule implies_elim :premises (@p393)) % 0.39/0.60 (step @p395 :rule reordering :premises (@p394) :args ((or @t158 (not @t284)))) % 0.39/0.60 (step @p396 :rule chain_m_resolution :premises (@p395 @p392) :args (@t158 @t285 (@list @t284))) % 0.39/0.60 (step @p397 :rule and_elim :premises (@p392) :args (5)) % 0.39/0.60 (step @p398 :rule and_elim :premises (@p392) :args (2)) % 0.39/0.60 (step @p399 :rule cnf_or_pos :args (@t158)) % 0.39/0.60 (step @p400 :rule reordering :premises (@p399) :args ((or @t157 @t156 @t155 (not @t158)))) % 0.39/0.60 (step @p401 :rule chain_m_resolution :premises (@p400 @p398 @p397 @p396) :args (@t155 (@list false false false) (@list @t142 @t139 @t158))) % 0.39/0.60 (step @p402 :rule not_implies_elim2 :premises (@p391)) % 0.39/0.60 (step @p403 :rule not_or_elim :premises (@p402) :args (2)) % 0.39/0.60 (step @p404 false :rule chain_m_resolution :premises (@p403 @p401) :args (false @t285 (@list @t155))) % 0.39/0.60 ) % 0.39/0.60 % SZS output end Proof % 0.39/0.60 % cvc5 exiting %------------------------------------------------------------------------------