%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO230+1 : TPTP v9.2.1. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:16:51 AM UTC 2026 % Result : Theorem 1.41s 1.61s % Output : Proof 1.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO230+1 : TPTP v9.2.1. Bugfixed v6.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n002.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon Jun 1 23:41:18 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 1.41/1.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.41/1.61 % SZS status Theorem % 1.41/1.61 % SZS output start Proof % 1.41/1.61 ( % 1.41/1.61 (declare-sort $$unsorted 0) % 1.41/1.61 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.61 (declare-const tptp.left_apart_point (-> $$unsorted $$unsorted Bool)) % 1.41/1.61 (declare-const tptp.point (-> $$unsorted Bool)) % 1.41/1.61 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 1.41/1.61 (declare-const tptp.unequally_directed_lines (-> $$unsorted $$unsorted Bool)) % 1.41/1.61 (declare-const tptp.between_on_line (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.41/1.61 (declare-const tptp.line (-> $$unsorted Bool)) % 1.41/1.61 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.61 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 1.41/1.61 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.61 (declare-const tptp.reverse_line (-> $$unsorted $$unsorted)) % 1.41/1.61 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 1.41/1.61 (declare-const tptp.before_on_line (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.41/1.61 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 1.41/1.61 (declare-const tptp.divides_points (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.41/1.61 (declare-const tptp.left_convergent_lines (-> $$unsorted $$unsorted Bool)) % 1.41/1.61 (define @t1 () (@var "L" $$unsorted)) % 1.41/1.61 (define @t2 () (tptp.reverse_line @t1)) % 1.41/1.61 (define @t3 () (@var "A" $$unsorted)) % 1.41/1.61 (define @t4 () (tptp.left_apart_point @t3 @t2)) % 1.41/1.61 (define @t5 () (tptp.left_apart_point @t3 @t1)) % 1.41/1.61 (define @t6 () (or @t5 @t4)) % 1.41/1.61 (define @t7 () (@list @t3 @t1)) % 1.41/1.61 (define @t8 () (@var "M" $$unsorted)) % 1.41/1.61 (define @t9 () (tptp.reverse_line @t8)) % 1.41/1.61 (define @t10 () (tptp.unequally_directed_lines @t1 @t9)) % 1.41/1.61 (define @t11 () (tptp.unequally_directed_lines @t1 @t8)) % 1.41/1.61 (define @t12 () (and @t11 @t10)) % 1.41/1.61 (define @t13 () (@list @t1 @t8)) % 1.41/1.61 (define @t14 () (@var "B" $$unsorted)) % 1.41/1.61 (define @t15 () (tptp.left_apart_point @t14 @t1)) % 1.41/1.61 (define @t16 () (tptp.left_apart_point @t14 @t2)) % 1.41/1.61 (define @t17 () (@list @t3 @t14 @t1)) % 1.41/1.61 (define @t18 () (tptp.line_connecting @t3 @t14)) % 1.41/1.61 (define @t19 () (not @t6)) % 1.41/1.61 (define @t20 () (tptp.distinct_points @t3 @t14)) % 1.41/1.61 (define @t21 () (tptp.before_on_line @t1 @t3 @t14)) % 1.41/1.61 (define @t22 () (@var "C" $$unsorted)) % 1.41/1.61 (define @t23 () (tptp.distinct_points @t14 @t22)) % 1.41/1.61 (define @t24 () (tptp.distinct_points @t3 @t22)) % 1.41/1.61 (define @t25 () (or @t24 @t23)) % 1.41/1.61 (define @t26 () (forall (@list @t3 @t14 @t22) (=> @t20 @t25))) % 1.41/1.61 (define @t27 () (@list @t1)) % 1.41/1.61 (define @t28 () (@var "N" $$unsorted)) % 1.41/1.61 (define @t29 () (tptp.distinct_lines @t1 @t8)) % 1.41/1.61 (define @t30 () (@list @t1 @t8 @t28)) % 1.41/1.61 (define @t31 () (tptp.unequally_directed_lines @t8 @t28)) % 1.41/1.61 (define @t32 () (tptp.unequally_directed_lines @t1 @t28)) % 1.41/1.61 (define @t33 () (or @t32 @t31)) % 1.41/1.61 (define @t34 () (forall @t30 (=> @t11 @t33))) % 1.41/1.61 (define @t35 () (tptp.reverse_line @t28)) % 1.41/1.61 (define @t36 () (and @t31 (tptp.unequally_directed_lines @t8 @t35))) % 1.41/1.61 (define @t37 () (and @t32 (tptp.unequally_directed_lines @t1 @t35))) % 1.41/1.61 (define @t38 () (or @t37 @t36)) % 1.41/1.61 (define @t39 () (forall @t30 (=> @t12 @t38))) % 1.41/1.61 (define @t40 () (tptp.line @t8)) % 1.41/1.61 (define @t41 () (tptp.line @t1)) % 1.41/1.61 (define @t42 () (tptp.left_convergent_lines @t1 @t9)) % 1.41/1.61 (define @t43 () (tptp.left_convergent_lines @t1 @t8)) % 1.41/1.61 (define @t44 () (or @t43 @t42)) % 1.41/1.61 (define @t45 () (forall @t13 (=> @t12 @t44))) % 1.41/1.61 (define @t46 () (forall @t13 (not @t44))) % 1.41/1.61 (define @t47 () (tptp.point @t3)) % 1.41/1.61 (define @t48 () (@list @t3 @t14)) % 1.41/1.61 (define @t49 () (tptp.intersection_point @t1 @t8)) % 1.41/1.61 (define @t50 () (tptp.parallel_through_point @t1 @t3)) % 1.41/1.61 (define @t51 () (and (not (tptp.apart_point_and_line @t3 @t18)) (not (tptp.apart_point_and_line @t14 @t18)))) % 1.41/1.61 (define @t52 () (forall @t48 (=> @t20 @t51))) % 1.41/1.61 (define @t53 () (tptp.line_connecting @t14 @t3)) % 1.41/1.61 (define @t54 () (tptp.left_apart_point @t14 @t9)) % 1.41/1.61 (define @t55 () (tptp.left_apart_point @t3 @t9)) % 1.41/1.61 (define @t56 () (tptp.left_apart_point @t14 @t8)) % 1.41/1.61 (define @t57 () (tptp.left_apart_point @t3 @t8)) % 1.41/1.61 (define @t58 () (or @t5 @t15 @t57 @t56 @t4 @t16 @t55 @t54)) % 1.41/1.61 (define @t59 () (and @t20 @t29)) % 1.41/1.61 (define @t60 () (forall (@list @t3 @t14 @t1 @t8) (=> @t59 @t58))) % 1.41/1.61 (define @t61 () (tptp.left_convergent_lines @t1 @t28)) % 1.41/1.61 (define @t62 () (or @t31 @t61)) % 1.41/1.61 (define @t63 () (forall @t30 (=> @t43 @t62))) % 1.41/1.61 (define @t64 () (and (not (tptp.distinct_lines @t18 @t53)) (not (tptp.unequally_directed_lines @t53 @t18)))) % 1.41/1.61 (define @t65 () (forall @t48 (=> @t20 @t64))) % 1.41/1.61 (define @t66 () (not @t65)) % 1.41/1.61 (define @t67 () (not @t42)) % 1.41/1.61 (define @t68 () (forall @t13 @t67)) % 1.41/1.61 (define @t69 () (@list @t1 @t8)) % 1.41/1.61 (define @t70 () (not @t43)) % 1.41/1.61 (define @t71 () (forall @t13 @t70)) % 1.41/1.61 (define @t72 () (and @t71 @t68)) % 1.41/1.61 (define @t73 () (not @t20)) % 1.41/1.61 (define @t74 () (forall @t48 (or @t73 @t64))) % 1.41/1.61 (define @t75 () (@quantifiers_skolemize @t74 0)) % 1.41/1.61 (define @t76 () (tptp.line_connecting @t75 @t75)) % 1.41/1.61 (define @t77 () (tptp.reverse_line @t76)) % 1.41/1.61 (define @t78 () (@quantifiers_skolemize @t74 1)) % 1.41/1.61 (define @t79 () (tptp.line_connecting @t78 @t75)) % 1.41/1.61 (define @t80 () (@list @t79 @t76 @t77)) % 1.41/1.61 (define @t81 () (tptp.left_convergent_lines @t79 @t77)) % 1.41/1.61 (define @t82 () (tptp.unequally_directed_lines @t76 @t77)) % 1.41/1.61 (define @t83 () (tptp.left_convergent_lines @t79 @t76)) % 1.41/1.61 (define @t84 () (not @t83)) % 1.41/1.61 (define @t85 () (or @t84 @t82 @t81)) % 1.41/1.61 (define @t86 () (not @t10)) % 1.41/1.61 (define @t87 () (not @t11)) % 1.41/1.61 (define @t88 () (or @t87 @t86)) % 1.41/1.61 (define @t89 () (not @t12)) % 1.41/1.61 (define @t90 () (tptp.reverse_line @t79)) % 1.41/1.61 (define @t91 () (tptp.unequally_directed_lines @t90 @t90)) % 1.41/1.61 (define @t92 () (and (tptp.unequally_directed_lines @t90 @t79) @t91)) % 1.41/1.61 (define @t93 () (not @t92)) % 1.41/1.61 (define @t94 () (@list true)) % 1.41/1.61 (define @t95 () (tptp.unequally_directed_lines @t90 @t77)) % 1.41/1.61 (define @t96 () (tptp.unequally_directed_lines @t76 @t90)) % 1.41/1.61 (define @t97 () (not @t96)) % 1.41/1.61 (define @t98 () (or @t97 @t82 @t95)) % 1.41/1.61 (define @t99 () (tptp.unequally_directed_lines @t90 @t76)) % 1.41/1.61 (define @t100 () (not @t99)) % 1.41/1.61 (define @t101 () (or @t100 @t95 @t82)) % 1.41/1.61 (define @t102 () (tptp.unequally_directed_lines @t76 @t79)) % 1.41/1.61 (define @t103 () (and @t102 @t96)) % 1.41/1.61 (define @t104 () (not @t103)) % 1.41/1.61 (define @t105 () (tptp.line_connecting @t75 @t78)) % 1.41/1.61 (define @t106 () (tptp.unequally_directed_lines @t79 @t105)) % 1.41/1.61 (define @t107 () (not @t106)) % 1.41/1.61 (define @t108 () (tptp.distinct_lines @t105 @t79)) % 1.41/1.61 (define @t109 () (not @t108)) % 1.41/1.61 (define @t110 () (and @t109 @t107)) % 1.41/1.61 (define @t111 () (tptp.distinct_points @t75 @t78)) % 1.41/1.61 (define @t112 () (not @t111)) % 1.41/1.61 (define @t113 () (or @t112 @t110)) % 1.41/1.61 (define @t114 () (@list @t113)) % 1.41/1.61 (define @t115 () (not @t29)) % 1.41/1.61 (define @t116 () (@list @t75 @t78)) % 1.41/1.61 (define @t117 () (tptp.apart_point_and_line @t78 @t105)) % 1.41/1.61 (define @t118 () (not @t117)) % 1.41/1.61 (define @t119 () (tptp.apart_point_and_line @t75 @t105)) % 1.41/1.61 (define @t120 () (not @t119)) % 1.41/1.61 (define @t121 () (and @t120 @t118)) % 1.41/1.61 (define @t122 () (or @t112 @t121)) % 1.41/1.61 (define @t123 () (@list false false)) % 1.41/1.61 (define @t124 () (not @t121)) % 1.41/1.61 (define @t125 () (@list false)) % 1.41/1.61 (define @t126 () (@list @t121)) % 1.41/1.61 (define @t127 () (tptp.reverse_line @t105)) % 1.41/1.61 (define @t128 () (tptp.left_apart_point @t78 @t127)) % 1.41/1.61 (define @t129 () (tptp.left_apart_point @t78 @t105)) % 1.41/1.61 (define @t130 () (or @t129 @t128)) % 1.41/1.61 (define @t131 () (= @t117 @t130)) % 1.41/1.61 (define @t132 () (not @t130)) % 1.41/1.61 (define @t133 () (@list true false)) % 1.41/1.61 (define @t134 () (@list @t130)) % 1.41/1.61 (define @t135 () (tptp.left_apart_point @t75 @t127)) % 1.41/1.61 (define @t136 () (tptp.left_apart_point @t75 @t105)) % 1.41/1.61 (define @t137 () (or @t136 @t135)) % 1.41/1.61 (define @t138 () (= @t119 @t137)) % 1.41/1.61 (define @t139 () (not @t137)) % 1.41/1.61 (define @t140 () (@list @t137)) % 1.41/1.61 (define @t141 () (tptp.distinct_points @t78 @t75)) % 1.41/1.61 (define @t142 () (tptp.distinct_points @t75 @t75)) % 1.41/1.61 (define @t143 () (or @t112 @t142 @t141)) % 1.41/1.61 (define @t144 () (@list false true false)) % 1.41/1.61 (define @t145 () (tptp.apart_point_and_line @t75 @t79)) % 1.41/1.61 (define @t146 () (not @t145)) % 1.41/1.61 (define @t147 () (tptp.apart_point_and_line @t78 @t79)) % 1.41/1.61 (define @t148 () (not @t147)) % 1.41/1.61 (define @t149 () (and @t148 @t146)) % 1.41/1.61 (define @t150 () (not @t141)) % 1.41/1.61 (define @t151 () (or @t150 @t149)) % 1.41/1.61 (define @t152 () (not @t149)) % 1.41/1.61 (define @t153 () (@list @t149)) % 1.41/1.61 (define @t154 () (tptp.left_apart_point @t78 @t90)) % 1.41/1.61 (define @t155 () (tptp.left_apart_point @t78 @t79)) % 1.41/1.61 (define @t156 () (or @t155 @t154)) % 1.41/1.61 (define @t157 () (= @t147 @t156)) % 1.41/1.61 (define @t158 () (not @t156)) % 1.41/1.61 (define @t159 () (not @t154)) % 1.41/1.61 (define @t160 () (@list @t156)) % 1.41/1.61 (define @t161 () (not @t155)) % 1.41/1.61 (define @t162 () (tptp.left_apart_point @t75 @t90)) % 1.41/1.61 (define @t163 () (tptp.left_apart_point @t75 @t79)) % 1.41/1.61 (define @t164 () (or @t163 @t162)) % 1.41/1.61 (define @t165 () (= @t145 @t164)) % 1.41/1.61 (define @t166 () (not @t164)) % 1.41/1.61 (define @t167 () (not @t162)) % 1.41/1.61 (define @t168 () (@list @t164)) % 1.41/1.61 (define @t169 () (not @t163)) % 1.41/1.61 (define @t170 () (or @t112 @t109 @t136 @t129 @t163 @t155 @t135 @t128 @t162 @t154)) % 1.41/1.61 (define @t171 () (tptp.unequally_directed_lines @t105 @t79)) % 1.41/1.61 (define @t172 () (tptp.unequally_directed_lines @t79 @t79)) % 1.41/1.61 (define @t173 () (or @t107 @t172 @t171)) % 1.41/1.61 (define @t174 () (tptp.unequally_directed_lines @t79 @t90)) % 1.41/1.61 (define @t175 () (tptp.unequally_directed_lines @t105 @t90)) % 1.41/1.61 (define @t176 () (not @t171)) % 1.41/1.61 (define @t177 () (or @t176 @t175 @t174)) % 1.41/1.61 (define @t178 () (@list true false false)) % 1.41/1.61 (define @t179 () (tptp.unequally_directed_lines @t79 @t76)) % 1.41/1.61 (define @t180 () (not @t174)) % 1.41/1.61 (define @t181 () (or @t180 @t179 @t99)) % 1.41/1.61 (define @t182 () (tptp.unequally_directed_lines @t79 @t77)) % 1.41/1.61 (define @t183 () (not @t179)) % 1.41/1.61 (define @t184 () (or @t183 @t182 @t82)) % 1.41/1.61 (define @t185 () (and @t172 @t174)) % 1.41/1.61 (define @t186 () (not @t185)) % 1.41/1.61 (define @t187 () (not @t182)) % 1.41/1.61 (define @t188 () (or @t183 @t187 @t185 @t103)) % 1.41/1.61 (define @t189 () (not @t95)) % 1.41/1.61 (define @t190 () (or @t100 @t189 @t92 @t103)) % 1.41/1.61 (define @t191 () (tptp.unequally_directed_lines @t76 @t76)) % 1.41/1.61 (define @t192 () (not @t102)) % 1.41/1.61 (define @t193 () (or @t192 @t191 @t179)) % 1.41/1.61 (define @t194 () (or @t183 @t187 @t83 @t81)) % 1.41/1.61 (assume @p1 (forall @t7 (= (tptp.apart_point_and_line @t3 @t1) @t6))) % 1.41/1.61 (assume @p2 (forall @t13 (= (tptp.convergent_lines @t1 @t8) @t12))) % 1.41/1.61 (assume @p3 (forall @t17 (= (tptp.divides_points @t1 @t3 @t14) (or (and @t5 @t16) (and @t4 @t15))))) % 1.41/1.61 (assume @p4 (forall (@list @t1 @t3 @t14) (= @t21 (and @t20 @t19 (not (or @t15 @t16)) (not (tptp.unequally_directed_lines @t1 @t18)))))) % 1.41/1.61 (assume @p5 (forall (@list @t1 @t3 @t14 @t22) (= (tptp.between_on_line @t1 @t3 @t14 @t22) (or (and @t21 (tptp.before_on_line @t1 @t14 @t22)) (and (tptp.before_on_line @t1 @t22 @t14) (tptp.before_on_line @t1 @t14 @t3)))))) % 1.41/1.61 (assume @p6 (forall (@list @t3) (not (tptp.distinct_points @t3 @t3)))) % 1.41/1.61 (assume @p7 @t26) % 1.41/1.61 (assume @p8 (forall @t27 (not (tptp.distinct_lines @t1 @t1)))) % 1.41/1.61 (assume @p9 (forall @t30 (=> @t29 (or (tptp.distinct_lines @t1 @t28) (tptp.distinct_lines @t8 @t28))))) % 1.41/1.61 (assume @p10 (forall @t27 (not (tptp.unequally_directed_lines @t1 @t1)))) % 1.41/1.61 (assume @p11 @t34) % 1.41/1.61 (assume @p12 @t39) % 1.41/1.61 (assume @p13 (forall @t13 (=> (and @t41 @t40) (or @t11 @t10)))) % 1.41/1.61 (assume @p14 @t45) % 1.41/1.61 (assume @p15 (forall @t7 @t19)) % 1.41/1.61 (assume @p16 @t46) % 1.41/1.61 (assume @p17 (forall @t48 (=> (and @t47 (tptp.point @t14) @t20) (tptp.line @t18)))) % 1.41/1.61 (assume @p18 (forall @t13 (=> (and @t41 @t40 @t11 @t10) (tptp.point @t49)))) % 1.41/1.61 (assume @p19 (forall (@list @t1 @t3) (=> (and @t47 @t41) (tptp.line @t50)))) % 1.41/1.61 (assume @p20 (forall @t27 (=> @t41 (tptp.line @t2)))) % 1.41/1.61 (assume @p21 @t52) % 1.41/1.61 (assume @p22 (forall @t13 (=> @t12 (and (not (tptp.apart_point_and_line @t49 @t1)) (not (tptp.apart_point_and_line @t49 @t8)))))) % 1.41/1.61 (assume @p23 (forall @t7 (not (tptp.apart_point_and_line @t3 @t50)))) % 1.41/1.61 (assume @p24 (forall @t27 (not (tptp.distinct_lines @t1 @t2)))) % 1.41/1.61 (assume @p25 (forall @t48 (not (tptp.unequally_directed_lines @t18 (tptp.reverse_line @t53))))) % 1.41/1.61 (assume @p26 (forall @t7 (not (tptp.unequally_directed_lines @t50 @t1)))) % 1.41/1.61 (assume @p27 @t60) % 1.41/1.61 (assume @p28 (forall @t17 (=> (and @t20 @t5) (or @t15 (tptp.left_convergent_lines @t18 @t1))))) % 1.41/1.61 (assume @p29 (forall @t17 (=> @t5 (or @t20 @t15)))) % 1.41/1.61 (assume @p30 (forall (@list @t3 @t1 @t8) (=> (and @t5 @t11) (or @t29 @t55)))) % 1.41/1.61 (assume @p31 @t63) % 1.41/1.61 (assume @p32 @t66) % 1.41/1.61 (assume @p33 true) % 1.41/1.61 (step @p34 :rule alpha_equiv :args (@t68 @t69 (@list (@var "BOUND_VARIABLE_7686" $$unsorted) (@var "BOUND_VARIABLE_7688" $$unsorted)))) % 1.41/1.61 (step @p35 :rule alpha_equiv :args (@t71 @t69 (@list (@var "BOUND_VARIABLE_7678" $$unsorted) (@var "BOUND_VARIABLE_7680" $$unsorted)))) % 1.41/1.61 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t72)) % 1.41/1.61 (step @p37 :rule quant-miniscope-and :args ((= (forall @t13 (and @t70 @t67)) @t72))) % 1.41/1.61 (step @p38 :rule trans :premises (@p37 @p36)) % 1.41/1.61 (step @p39 :rule bool-or-de-morgan :args (@t43 @t42 false)) % 1.41/1.61 (step @p40 :rule cong :premises (@p39) :args (@t46)) % 1.41/1.61 (step @p41 :rule trans :premises (@p40 @p38)) % 1.41/1.61 (step @p42 :rule eq_resolve :premises (@p16 @p41)) % 1.41/1.61 (step @p43 :rule and_elim :premises (@p42) :args (0)) % 1.41/1.61 (step @p44 :rule instantiate :premises (@p43) :args ((@list @t79 @t77))) % 1.41/1.61 (step @p45 :rule aci_norm :args ((= (or @t70 @t62) (or @t70 @t31 @t61)))) % 1.41/1.61 (step @p46 :rule bool-impl-elim :args (@t43 @t62)) % 1.41/1.61 (step @p47 :rule trans :premises (@p46 @p45)) % 1.41/1.61 (step @p48 :rule cong :premises (@p47) :args (@t63)) % 1.41/1.61 (step @p49 :rule eq_resolve :premises (@p31 @p48)) % 1.41/1.61 (step @p50 :rule instantiate :premises (@p49) :args (@t80)) % 1.41/1.61 (step @p51 :rule instantiate :premises (@p25) :args ((@list @t75 @t75))) % 1.41/1.61 (step @p52 :rule cnf_or_pos :args (@t85)) % 1.41/1.61 (step @p53 :rule reordering :premises (@p52) :args ((or @t82 @t81 @t84 (not @t85)))) % 1.41/1.61 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p44 @p50) :args (@t84 (@list true true false) (@list @t82 @t81 @t85))) % 1.41/1.61 (step @p55 :rule aci_norm :args ((= (or @t88 @t44) (or @t87 @t86 @t43 @t42)))) % 1.41/1.61 (step @p56 :rule refl :args (@t44)) % 1.41/1.61 (step @p57 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 1.41/1.61 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or @t89 @t44))) % 1.41/1.61 (step @p59 :rule trans :premises (@p58 @p55)) % 1.41/1.61 (step @p60 :rule bool-impl-elim :args (@t12 @t44)) % 1.41/1.61 (step @p61 :rule trans :premises (@p60 @p59)) % 1.41/1.61 (step @p62 :rule cong :premises (@p61) :args (@t45)) % 1.41/1.61 (step @p63 :rule eq_resolve :premises (@p14 @p62)) % 1.41/1.61 (step @p64 :rule instantiate :premises (@p63) :args ((@list @t79 @t76))) % 1.41/1.61 (step @p65 :rule aci_norm :args ((= (or @t87 @t33) (or @t87 @t32 @t31)))) % 1.41/1.61 (step @p66 :rule bool-impl-elim :args (@t11 @t33)) % 1.41/1.61 (step @p67 :rule trans :premises (@p66 @p65)) % 1.41/1.61 (step @p68 :rule cong :premises (@p67) :args (@t34)) % 1.41/1.61 (step @p69 :rule eq_resolve :premises (@p11 @p68)) % 1.41/1.61 (step @p70 :rule instantiate :premises (@p69) :args ((@list @t76 @t79 @t76))) % 1.41/1.61 (step @p71 :rule instantiate :premises (@p10) :args ((@list @t90))) % 1.41/1.61 (step @p72 :rule cnf_and_pos :args (@t92 1)) % 1.41/1.61 (step @p73 :rule reordering :premises (@p72) :args ((or @t91 @t93))) % 1.41/1.61 (step @p74 :rule chain_m_resolution :premises (@p73 @p71) :args (@t93 @t94 (@list @t91))) % 1.41/1.61 (step @p75 :rule instantiate :premises (@p69) :args ((@list @t76 @t90 @t77))) % 1.41/1.61 (step @p76 :rule cnf_or_pos :args (@t98)) % 1.41/1.61 (step @p77 :rule reordering :premises (@p76) :args ((or @t82 @t97 @t95 (not @t98)))) % 1.41/1.61 (step @p78 :rule instantiate :premises (@p69) :args ((@list @t90 @t76 @t77))) % 1.41/1.61 (step @p79 :rule cnf_or_pos :args (@t101)) % 1.41/1.61 (step @p80 :rule reordering :premises (@p79) :args ((or @t82 @t100 @t95 (not @t101)))) % 1.41/1.61 (step @p81 :rule cnf_and_pos :args (@t103 1)) % 1.41/1.61 (step @p82 :rule reordering :premises (@p81) :args ((or @t96 @t104))) % 1.41/1.61 (step @p83 :rule instantiate :premises (@p69) :args ((@list @t105 @t79 @t90))) % 1.41/1.61 (step @p84 :rule instantiate :premises (@p69) :args ((@list @t79 @t105 @t79))) % 1.41/1.61 (step @p85 :rule instantiate :premises (@p10) :args ((@list @t79))) % 1.41/1.61 (step @p86 :rule bool-impl-elim :args (@t20 @t64)) % 1.41/1.61 (step @p87 :rule cong :premises (@p86) :args (@t65)) % 1.41/1.61 (step @p88 :rule cong :premises (@p87) :args (@t66)) % 1.41/1.61 (step @p89 :rule eq_resolve :premises (@p32 @p88)) % 1.41/1.61 (step @p90 :rule skolemize :premises (@p89)) % 1.41/1.61 (step @p91 :rule cnf_or_neg :args (@t113 1)) % 1.41/1.61 (step @p92 :rule chain_m_resolution :premises (@p91 @p90) :args ((not @t110) @t94 @t114)) % 1.41/1.61 (step @p93 :rule aci_norm :args ((= (or (or @t73 @t115) @t58) (or @t73 @t115 @t5 @t15 @t57 @t56 @t4 @t16 @t55 @t54)))) % 1.41/1.61 (step @p94 :rule refl :args (@t58)) % 1.41/1.61 (step @p95 :rule bool-and-de-morgan :args (@t20 @t29 true)) % 1.41/1.61 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or (not @t59) @t58))) % 1.41/1.61 (step @p97 :rule trans :premises (@p96 @p93)) % 1.41/1.61 (step @p98 :rule bool-impl-elim :args (@t59 @t58)) % 1.41/1.61 (step @p99 :rule trans :premises (@p98 @p97)) % 1.41/1.61 (step @p100 :rule cong :premises (@p99) :args (@t60)) % 1.41/1.61 (step @p101 :rule eq_resolve :premises (@p27 @p100)) % 1.41/1.61 (step @p102 :rule instantiate :premises (@p101) :args ((@list @t75 @t78 @t105 @t79))) % 1.41/1.61 (step @p103 :rule instantiate :premises (@p1) :args ((@list @t78 @t105))) % 1.41/1.61 (step @p104 :rule bool-impl-elim :args (@t20 @t51)) % 1.41/1.61 (step @p105 :rule cong :premises (@p104) :args (@t52)) % 1.41/1.61 (step @p106 :rule eq_resolve :premises (@p21 @p105)) % 1.41/1.61 (step @p107 :rule instantiate :premises (@p106) :args (@t116)) % 1.41/1.61 (step @p108 :rule bool-double-not-elim :args (@t111)) % 1.41/1.61 (step @p109 :rule refl :args (@t113)) % 1.41/1.61 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or @t113 (not @t112)))) % 1.41/1.61 (step @p111 :rule cnf_or_neg :args (@t113 0)) % 1.41/1.61 (step @p112 :rule eq_resolve :premises (@p111 @p110)) % 1.41/1.61 (step @p113 :rule reordering :premises (@p112) :args ((or @t111 @t113))) % 1.41/1.61 (step @p114 :rule chain_m_resolution :premises (@p113 @p90) :args (@t111 @t94 @t114)) % 1.41/1.61 (step @p115 :rule cnf_or_pos :args (@t122)) % 1.41/1.61 (step @p116 :rule reordering :premises (@p115) :args ((or @t112 @t121 (not @t122)))) % 1.41/1.61 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p107) :args (@t121 @t123 (@list @t111 @t122))) % 1.41/1.61 (step @p118 :rule cnf_and_pos :args (@t121 1)) % 1.41/1.61 (step @p119 :rule reordering :premises (@p118) :args ((or @t118 @t124))) % 1.41/1.61 (step @p120 :rule chain_m_resolution :premises (@p119 @p117) :args (@t118 @t125 @t126)) % 1.41/1.61 (step @p121 :rule cnf_equiv_pos2 :args (@t131)) % 1.41/1.61 (step @p122 :rule reordering :premises (@p121) :args ((or @t117 @t132 (not @t131)))) % 1.41/1.61 (step @p123 :rule chain_m_resolution :premises (@p122 @p120 @p103) :args (@t132 @t133 (@list @t117 @t131))) % 1.41/1.61 (step @p124 :rule cnf_or_neg :args (@t130 1)) % 1.41/1.61 (step @p125 :rule chain_m_resolution :premises (@p124 @p123) :args ((not @t128) @t94 @t134)) % 1.41/1.61 (step @p126 :rule cnf_or_neg :args (@t130 0)) % 1.41/1.61 (step @p127 :rule chain_m_resolution :premises (@p126 @p123) :args ((not @t129) @t94 @t134)) % 1.41/1.61 (step @p128 :rule instantiate :premises (@p1) :args ((@list @t75 @t105))) % 1.41/1.61 (step @p129 :rule cnf_and_pos :args (@t121 0)) % 1.41/1.61 (step @p130 :rule reordering :premises (@p129) :args ((or @t120 @t124))) % 1.41/1.61 (step @p131 :rule chain_m_resolution :premises (@p130 @p117) :args (@t120 @t125 @t126)) % 1.41/1.61 (step @p132 :rule cnf_equiv_pos2 :args (@t138)) % 1.41/1.61 (step @p133 :rule reordering :premises (@p132) :args ((or @t119 @t139 (not @t138)))) % 1.41/1.61 (step @p134 :rule chain_m_resolution :premises (@p133 @p131 @p128) :args (@t139 @t133 (@list @t119 @t138))) % 1.41/1.61 (step @p135 :rule cnf_or_neg :args (@t137 1)) % 1.41/1.61 (step @p136 :rule chain_m_resolution :premises (@p135 @p134) :args ((not @t135) @t94 @t140)) % 1.41/1.61 (step @p137 :rule cnf_or_neg :args (@t137 0)) % 1.41/1.61 (step @p138 :rule chain_m_resolution :premises (@p137 @p134) :args ((not @t136) @t94 @t140)) % 1.41/1.61 (step @p139 :rule instantiate :premises (@p1) :args ((@list @t78 @t79))) % 1.41/1.61 (step @p140 :rule instantiate :premises (@p106) :args ((@list @t78 @t75))) % 1.41/1.61 (step @p141 :rule aci_norm :args ((= (or @t73 @t25) (or @t73 @t24 @t23)))) % 1.41/1.61 (step @p142 :rule bool-impl-elim :args (@t20 @t25)) % 1.41/1.61 (step @p143 :rule trans :premises (@p142 @p141)) % 1.41/1.61 (step @p144 :rule cong :premises (@p143) :args (@t26)) % 1.41/1.61 (step @p145 :rule eq_resolve :premises (@p7 @p144)) % 1.41/1.61 (step @p146 :rule instantiate :premises (@p145) :args ((@list @t75 @t78 @t75))) % 1.41/1.61 (step @p147 :rule instantiate :premises (@p6) :args ((@list @t75))) % 1.41/1.61 (step @p148 :rule cnf_or_pos :args (@t143)) % 1.41/1.61 (step @p149 :rule reordering :premises (@p148) :args ((or @t112 @t141 @t142 (not @t143)))) % 1.41/1.61 (step @p150 :rule chain_m_resolution :premises (@p149 @p114 @p147 @p146) :args (@t141 @t144 (@list @t111 @t142 @t143))) % 1.41/1.61 (step @p151 :rule cnf_or_pos :args (@t151)) % 1.41/1.61 (step @p152 :rule reordering :premises (@p151) :args ((or @t150 @t149 (not @t151)))) % 1.41/1.61 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p140) :args (@t149 @t123 (@list @t141 @t151))) % 1.41/1.61 (step @p154 :rule cnf_and_pos :args (@t149 0)) % 1.41/1.61 (step @p155 :rule reordering :premises (@p154) :args ((or @t148 @t152))) % 1.41/1.61 (step @p156 :rule chain_m_resolution :premises (@p155 @p153) :args (@t148 @t125 @t153)) % 1.41/1.61 (step @p157 :rule cnf_equiv_pos2 :args (@t157)) % 1.41/1.61 (step @p158 :rule reordering :premises (@p157) :args ((or @t147 @t158 (not @t157)))) % 1.41/1.61 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p139) :args (@t158 @t133 (@list @t147 @t157))) % 1.41/1.61 (step @p160 :rule cnf_or_neg :args (@t156 1)) % 1.41/1.61 (step @p161 :rule reordering :premises (@p160) :args ((or @t159 @t156))) % 1.41/1.61 (step @p162 :rule chain_m_resolution :premises (@p161 @p159) :args (@t159 @t94 @t160)) % 1.41/1.61 (step @p163 :rule cnf_or_neg :args (@t156 0)) % 1.41/1.61 (step @p164 :rule reordering :premises (@p163) :args ((or @t161 @t156))) % 1.41/1.61 (step @p165 :rule chain_m_resolution :premises (@p164 @p159) :args (@t161 @t94 @t160)) % 1.41/1.61 (step @p166 :rule instantiate :premises (@p1) :args ((@list @t75 @t79))) % 1.41/1.61 (step @p167 :rule cnf_and_pos :args (@t149 1)) % 1.41/1.61 (step @p168 :rule reordering :premises (@p167) :args ((or @t146 @t152))) % 1.41/1.61 (step @p169 :rule chain_m_resolution :premises (@p168 @p153) :args (@t146 @t125 @t153)) % 1.41/1.61 (step @p170 :rule cnf_equiv_pos2 :args (@t165)) % 1.41/1.61 (step @p171 :rule reordering :premises (@p170) :args ((or @t145 @t166 (not @t165)))) % 1.41/1.61 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p166) :args (@t166 @t133 (@list @t145 @t165))) % 1.41/1.61 (step @p173 :rule cnf_or_neg :args (@t164 1)) % 1.41/1.61 (step @p174 :rule reordering :premises (@p173) :args ((or @t167 @t164))) % 1.41/1.61 (step @p175 :rule chain_m_resolution :premises (@p174 @p172) :args (@t167 @t94 @t168)) % 1.41/1.61 (step @p176 :rule cnf_or_neg :args (@t164 0)) % 1.41/1.61 (step @p177 :rule reordering :premises (@p176) :args ((or @t169 @t164))) % 1.41/1.61 (step @p178 :rule chain_m_resolution :premises (@p177 @p172) :args (@t169 @t94 @t168)) % 1.41/1.61 (step @p179 :rule cnf_or_pos :args (@t170)) % 1.41/1.61 (step @p180 :rule reordering :premises (@p179) :args ((or @t112 @t109 @t163 @t162 @t155 @t154 @t136 @t135 @t129 @t128 (not @t170)))) % 1.41/1.61 (step @p181 :rule chain_m_resolution :premises (@p180 @p114 @p178 @p175 @p165 @p162 @p138 @p136 @p127 @p125 @p102) :args (@t109 (@list false true true true true true true true true false) (@list @t111 @t163 @t162 @t155 @t154 @t136 @t135 @t129 @t128 @t170))) % 1.41/1.61 (step @p182 :rule bool-double-not-elim :args (@t106)) % 1.41/1.61 (step @p183 :rule bool-double-not-elim :args (@t108)) % 1.41/1.61 (step @p184 :rule refl :args (@t110)) % 1.41/1.61 (step @p185 :rule nary_cong :premises (@p184 @p183 @p182) :args ((or @t110 (not @t109) (not @t107)))) % 1.41/1.61 (step @p186 :rule cnf_and_neg :args (@t110)) % 1.41/1.61 (step @p187 :rule eq_resolve :premises (@p186 @p185)) % 1.41/1.61 (step @p188 :rule reordering :premises (@p187) :args ((or @t108 @t106 @t110))) % 1.41/1.61 (step @p189 :rule chain_m_resolution :premises (@p188 @p181 @p92) :args (@t106 (@list true true) (@list @t108 @t110))) % 1.41/1.61 (step @p190 :rule cnf_or_pos :args (@t173)) % 1.41/1.61 (step @p191 :rule reordering :premises (@p190) :args ((or @t107 @t171 @t172 (not @t173)))) % 1.41/1.61 (step @p192 :rule chain_m_resolution :premises (@p191 @p189 @p85 @p84) :args (@t171 @t144 (@list @t106 @t172 @t173))) % 1.41/1.61 (step @p193 :rule instantiate :premises (@p25) :args (@t116)) % 1.41/1.61 (step @p194 :rule cnf_or_pos :args (@t177)) % 1.41/1.61 (step @p195 :rule reordering :premises (@p194) :args ((or @t175 @t176 @t174 (not @t177)))) % 1.41/1.61 (step @p196 :rule chain_m_resolution :premises (@p195 @p193 @p192 @p83) :args (@t174 @t178 (@list @t175 @t171 @t177))) % 1.41/1.61 (step @p197 :rule instantiate :premises (@p69) :args ((@list @t79 @t90 @t76))) % 1.41/1.61 (step @p198 :rule cnf_or_pos :args (@t181)) % 1.41/1.61 (step @p199 :rule reordering :premises (@p198) :args ((or @t180 @t179 @t99 (not @t181)))) % 1.41/1.61 (step @p200 :rule instantiate :premises (@p69) :args (@t80)) % 1.41/1.61 (step @p201 :rule cnf_or_pos :args (@t184)) % 1.41/1.61 (step @p202 :rule reordering :premises (@p201) :args ((or @t183 @t82 @t182 (not @t184)))) % 1.41/1.61 (step @p203 :rule cnf_and_pos :args (@t185 0)) % 1.41/1.61 (step @p204 :rule reordering :premises (@p203) :args ((or @t172 @t186))) % 1.41/1.61 (step @p205 :rule chain_m_resolution :premises (@p204 @p85) :args (@t186 @t94 (@list @t172))) % 1.41/1.61 (step @p206 :rule aci_norm :args ((= (or @t88 @t38) (or @t87 @t86 @t37 @t36)))) % 1.41/1.61 (step @p207 :rule refl :args (@t38)) % 1.41/1.61 (step @p208 :rule nary_cong :premises (@p57 @p207) :args ((or @t89 @t38))) % 1.41/1.61 (step @p209 :rule trans :premises (@p208 @p206)) % 1.41/1.61 (step @p210 :rule bool-impl-elim :args (@t12 @t38)) % 1.41/1.61 (step @p211 :rule trans :premises (@p210 @p209)) % 1.41/1.61 (step @p212 :rule cong :premises (@p211) :args (@t39)) % 1.41/1.61 (step @p213 :rule eq_resolve :premises (@p12 @p212)) % 1.41/1.61 (step @p214 :rule instantiate :premises (@p213) :args ((@list @t79 @t76 @t79))) % 1.41/1.61 (step @p215 :rule cnf_or_pos :args (@t188)) % 1.41/1.61 (step @p216 :rule reordering :premises (@p215) :args ((or @t185 @t183 @t103 @t187 (not @t188)))) % 1.41/1.61 (step @p217 :rule chain_m_resolution :premises (@p216 @p214 @p205 @p202 @p200 @p51 @p199 @p197 @p196 @p82 @p80 @p78 @p51 @p77 @p75 @p51) :args (@t95 (@list false true false false true false false false true true false true true false true) (@list @t188 @t185 @t182 @t184 @t82 @t179 @t181 @t174 @t103 @t99 @t101 @t82 @t96 @t98 @t82))) % 1.41/1.62 (step @p218 :rule instantiate :premises (@p213) :args ((@list @t90 @t76 @t79))) % 1.41/1.62 (step @p219 :rule cnf_or_pos :args (@t190)) % 1.41/1.62 (step @p220 :rule reordering :premises (@p219) :args ((or @t100 @t103 @t92 @t189 (not @t190)))) % 1.41/1.62 (step @p221 :rule chain_m_resolution :premises (@p216 @p214 @p205 @p202 @p200 @p51 @p199 @p197 @p196 @p220 @p218 @p217 @p74) :args (@t103 (@list false true false false true false false false true false false true) (@list @t188 @t185 @t182 @t184 @t82 @t179 @t181 @t174 @t99 @t190 @t95 @t92))) % 1.41/1.62 (step @p222 :rule cnf_and_pos :args (@t103 0)) % 1.41/1.62 (step @p223 :rule reordering :premises (@p222) :args ((or @t102 @t104))) % 1.41/1.62 (step @p224 :rule chain_m_resolution :premises (@p223 @p221) :args (@t102 @t125 (@list @t103))) % 1.41/1.62 (step @p225 :rule instantiate :premises (@p10) :args ((@list @t76))) % 1.41/1.62 (step @p226 :rule cnf_or_pos :args (@t193)) % 1.41/1.62 (step @p227 :rule reordering :premises (@p226) :args ((or @t179 @t191 @t192 (not @t193)))) % 1.41/1.62 (step @p228 :rule chain_m_resolution :premises (@p227 @p225 @p224 @p70) :args (@t179 @t178 (@list @t191 @t102 @t193))) % 1.41/1.62 (step @p229 :rule chain_m_resolution :premises (@p202 @p228 @p51 @p200) :args (@t182 @t144 (@list @t179 @t82 @t184))) % 1.41/1.62 (step @p230 :rule cnf_or_pos :args (@t194)) % 1.41/1.62 (step @p231 :rule reordering :premises (@p230) :args ((or @t183 @t81 @t83 @t187 (not @t194)))) % 1.41/1.62 (step @p232 false :rule chain_m_resolution :premises (@p231 @p229 @p228 @p64 @p54 @p44) :args (false (@list false false false true true) (@list @t182 @t179 @t194 @t83 @t81))) % 1.41/1.62 ) % 1.41/1.62 % SZS output end Proof % 1.41/1.62 % cvc5 exiting %------------------------------------------------------------------------------