%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO188+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:16:37 AM UTC 2026 % Result : Theorem 1.62s 1.90s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO188+3 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 23:39:19 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 1.62/1.90 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.62/1.90 % SZS status Theorem % 1.62/1.90 % SZS output start Proof % 1.62/1.90 ( % 1.62/1.90 (declare-sort $$unsorted 0) % 1.62/1.90 (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool)) % 1.62/1.90 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 1.62/1.90 (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool)) % 1.62/1.90 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.90 (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool)) % 1.62/1.90 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.90 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.90 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.90 (declare-const tptp.line (-> $$unsorted Bool)) % 1.62/1.90 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 1.62/1.90 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 1.62/1.90 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 1.62/1.90 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 1.62/1.90 (declare-const tptp.point (-> $$unsorted Bool)) % 1.62/1.90 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 1.62/1.90 (declare-const tptp.equal_lines (-> $$unsorted $$unsorted Bool)) % 1.62/1.90 (define @t1 () (@var "X" $$unsorted)) % 1.62/1.90 (define @t2 () (@list @t1)) % 1.62/1.90 (define @t3 () (@var "Z" $$unsorted)) % 1.62/1.90 (define @t4 () (@var "Y" $$unsorted)) % 1.62/1.90 (define @t5 () (tptp.distinct_points @t4 @t3)) % 1.62/1.90 (define @t6 () (tptp.distinct_points @t1 @t3)) % 1.62/1.90 (define @t7 () (or @t6 @t5)) % 1.62/1.90 (define @t8 () (tptp.distinct_points @t1 @t4)) % 1.62/1.90 (define @t9 () (@list @t1 @t4 @t3)) % 1.62/1.90 (define @t10 () (forall @t9 (=> @t8 @t7))) % 1.62/1.90 (define @t11 () (tptp.distinct_lines @t4 @t3)) % 1.62/1.90 (define @t12 () (tptp.distinct_lines @t1 @t3)) % 1.62/1.90 (define @t13 () (or @t12 @t11)) % 1.62/1.90 (define @t14 () (tptp.distinct_lines @t1 @t4)) % 1.62/1.90 (define @t15 () (forall @t9 (=> @t14 @t13))) % 1.62/1.90 (define @t16 () (tptp.convergent_lines @t4 @t3)) % 1.62/1.90 (define @t17 () (tptp.convergent_lines @t1 @t3)) % 1.62/1.90 (define @t18 () (tptp.convergent_lines @t1 @t4)) % 1.62/1.90 (define @t19 () (tptp.line_connecting @t1 @t4)) % 1.62/1.90 (define @t20 () (not (tptp.apart_point_and_line @t1 @t19))) % 1.62/1.90 (define @t21 () (@list @t1 @t4)) % 1.62/1.90 (define @t22 () (forall @t21 (=> @t8 @t20))) % 1.62/1.90 (define @t23 () (not (tptp.apart_point_and_line @t4 @t19))) % 1.62/1.90 (define @t24 () (forall @t21 (=> @t8 @t23))) % 1.62/1.90 (define @t25 () (tptp.intersection_point @t1 @t4)) % 1.62/1.90 (define @t26 () (not (tptp.apart_point_and_line @t25 @t1))) % 1.62/1.90 (define @t27 () (forall @t21 (=> @t18 @t26))) % 1.62/1.90 (define @t28 () (not (tptp.apart_point_and_line @t25 @t4))) % 1.62/1.90 (define @t29 () (forall @t21 (=> @t18 @t28))) % 1.62/1.90 (define @t30 () (@var "V" $$unsorted)) % 1.62/1.90 (define @t31 () (tptp.apart_point_and_line @t4 @t30)) % 1.62/1.90 (define @t32 () (@var "U" $$unsorted)) % 1.62/1.90 (define @t33 () (tptp.apart_point_and_line @t4 @t32)) % 1.62/1.90 (define @t34 () (tptp.apart_point_and_line @t1 @t30)) % 1.62/1.90 (define @t35 () (tptp.apart_point_and_line @t1 @t32)) % 1.62/1.90 (define @t36 () (or @t35 @t34 @t33 @t31)) % 1.62/1.90 (define @t37 () (tptp.distinct_lines @t32 @t30)) % 1.62/1.90 (define @t38 () (and @t8 @t37)) % 1.62/1.90 (define @t39 () (@list @t1 @t4 @t32 @t30)) % 1.62/1.90 (define @t40 () (forall @t39 (=> @t38 @t36))) % 1.62/1.90 (define @t41 () (tptp.apart_point_and_line @t3 @t4)) % 1.62/1.90 (define @t42 () (or @t6 @t41)) % 1.62/1.90 (define @t43 () (tptp.apart_point_and_line @t1 @t4)) % 1.62/1.90 (define @t44 () (forall @t9 (=> @t43 @t42))) % 1.62/1.90 (define @t45 () (tptp.apart_point_and_line @t1 @t3)) % 1.62/1.90 (define @t46 () (or @t11 @t45)) % 1.62/1.90 (define @t47 () (forall @t9 (=> @t43 @t46))) % 1.62/1.90 (define @t48 () (or @t11 @t17)) % 1.62/1.90 (define @t49 () (forall @t9 (=> @t18 @t48))) % 1.62/1.90 (define @t50 () (forall @t21 (=> @t14 @t18))) % 1.62/1.90 (define @t51 () (tptp.parallel_through_point @t4 @t1)) % 1.62/1.90 (define @t52 () (@var "M" $$unsorted)) % 1.62/1.90 (define @t53 () (@var "L" $$unsorted)) % 1.62/1.90 (define @t54 () (tptp.unorthogonal_lines @t53 @t52)) % 1.62/1.90 (define @t55 () (tptp.convergent_lines @t53 @t52)) % 1.62/1.90 (define @t56 () (@list @t53 @t52)) % 1.62/1.90 (define @t57 () (@var "N" $$unsorted)) % 1.62/1.90 (define @t58 () (tptp.unorthogonal_lines @t52 @t57)) % 1.62/1.90 (define @t59 () (tptp.convergent_lines @t52 @t57)) % 1.62/1.90 (define @t60 () (tptp.unorthogonal_lines @t53 @t57)) % 1.62/1.90 (define @t61 () (tptp.convergent_lines @t53 @t57)) % 1.62/1.90 (define @t62 () (@list @t53 @t52 @t57)) % 1.62/1.90 (define @t63 () (@var "A" $$unsorted)) % 1.62/1.90 (define @t64 () (tptp.orthogonal_through_point @t53 @t63)) % 1.62/1.90 (define @t65 () (@list @t63 @t53)) % 1.62/1.90 (define @t66 () (not @t54)) % 1.62/1.90 (define @t67 () (not @t55)) % 1.62/1.90 (define @t68 () (not @t59)) % 1.62/1.90 (define @t69 () (not @t60)) % 1.62/1.90 (define @t70 () (@var "B" $$unsorted)) % 1.62/1.90 (define @t71 () (tptp.point @t63)) % 1.62/1.90 (define @t72 () (tptp.line @t53)) % 1.62/1.90 (define @t73 () (and @t72 @t71)) % 1.62/1.90 (define @t74 () (@list @t53 @t63)) % 1.62/1.90 (define @t75 () (not @t8)) % 1.62/1.90 (define @t76 () (not @t14)) % 1.62/1.90 (define @t77 () (not @t18)) % 1.62/1.90 (define @t78 () (not @t43)) % 1.62/1.90 (define @t79 () (tptp.incident_point_and_line @t1 (tptp.line_connecting @t3 @t4))) % 1.62/1.90 (define @t80 () (tptp.incident_point_and_line @t3 @t19)) % 1.62/1.90 (define @t81 () (and @t8 @t6 @t5 @t80)) % 1.62/1.90 (define @t82 () (forall @t9 (=> @t81 @t79))) % 1.62/1.90 (define @t83 () (not @t82)) % 1.62/1.90 (define @t84 () (not @t37)) % 1.62/1.90 (define @t85 () (or @t75 @t84 @t35 @t34 @t33 @t31)) % 1.62/1.90 (define @t86 () (not @t80)) % 1.62/1.90 (define @t87 () (not @t5)) % 1.62/1.90 (define @t88 () (not @t6)) % 1.62/1.90 (define @t89 () (or @t75 @t88 @t87 @t86 @t79)) % 1.62/1.90 (define @t90 () (forall @t9 @t89)) % 1.62/1.90 (define @t91 () (@quantifiers_skolemize @t90 0)) % 1.62/1.90 (define @t92 () (@quantifiers_skolemize @t90 1)) % 1.62/1.90 (define @t93 () (tptp.line_connecting @t91 @t92)) % 1.62/1.90 (define @t94 () (tptp.orthogonal_through_point @t93 @t91)) % 1.62/1.90 (define @t95 () (@quantifiers_skolemize @t90 2)) % 1.62/1.90 (define @t96 () (tptp.line_connecting @t95 @t92)) % 1.62/1.90 (define @t97 () (tptp.intersection_point @t96 @t94)) % 1.62/1.90 (define @t98 () (@list @t96 @t94)) % 1.62/1.90 (define @t99 () (@list @t91 @t93)) % 1.62/1.90 (define @t100 () (or @t75 @t88 @t87 @t86)) % 1.62/1.90 (define @t101 () (tptp.incident_point_and_line @t91 @t96)) % 1.62/1.90 (define @t102 () (tptp.incident_point_and_line @t95 @t93)) % 1.62/1.90 (define @t103 () (not @t102)) % 1.62/1.90 (define @t104 () (tptp.distinct_points @t92 @t95)) % 1.62/1.90 (define @t105 () (not @t104)) % 1.62/1.90 (define @t106 () (tptp.distinct_points @t91 @t92)) % 1.62/1.90 (define @t107 () (not @t106)) % 1.62/1.90 (define @t108 () (or @t107 (not (tptp.distinct_points @t91 @t95)) @t105 @t103 @t101)) % 1.62/1.90 (define @t109 () (@list true)) % 1.62/1.90 (define @t110 () (@list @t108)) % 1.62/1.90 (define @t111 () (tptp.apart_point_and_line @t91 @t96)) % 1.62/1.90 (define @t112 () (not @t111)) % 1.62/1.90 (define @t113 () (= @t101 @t112)) % 1.62/1.90 (define @t114 () (not @t113)) % 1.62/1.90 (define @t115 () (@list true false)) % 1.62/1.90 (define @t116 () (tptp.apart_point_and_line @t91 @t94)) % 1.62/1.90 (define @t117 () (tptp.distinct_lines @t96 @t94)) % 1.62/1.90 (define @t118 () (or @t112 @t117 @t116)) % 1.62/1.90 (define @t119 () (@list false true false)) % 1.62/1.90 (define @t120 () (tptp.convergent_lines @t96 @t94)) % 1.62/1.90 (define @t121 () (not @t117)) % 1.62/1.90 (define @t122 () (or @t121 @t120)) % 1.62/1.90 (define @t123 () (@list false false)) % 1.62/1.90 (define @t124 () (tptp.apart_point_and_line @t97 @t96)) % 1.62/1.90 (define @t125 () (not @t124)) % 1.62/1.90 (define @t126 () (not @t120)) % 1.62/1.90 (define @t127 () (or @t126 @t125)) % 1.62/1.90 (define @t128 () (tptp.distinct_points @t91 @t97)) % 1.62/1.90 (define @t129 () (or @t112 @t128 @t124)) % 1.62/1.90 (define @t130 () (tptp.parallel_through_point @t93 @t91)) % 1.62/1.90 (define @t131 () (tptp.distinct_points @t95 @t92)) % 1.62/1.90 (define @t132 () (tptp.distinct_points @t92 @t92)) % 1.62/1.90 (define @t133 () (or @t105 @t132 @t131)) % 1.62/1.90 (define @t134 () (@list @t95 @t92)) % 1.62/1.90 (define @t135 () (tptp.apart_point_and_line @t95 @t96)) % 1.62/1.90 (define @t136 () (not @t135)) % 1.62/1.90 (define @t137 () (not @t131)) % 1.62/1.90 (define @t138 () (or @t137 @t136)) % 1.62/1.90 (define @t139 () (tptp.apart_point_and_line @t92 @t96)) % 1.62/1.90 (define @t140 () (not @t139)) % 1.62/1.90 (define @t141 () (or @t137 @t140)) % 1.62/1.90 (define @t142 () (tptp.convergent_lines @t130 @t93)) % 1.62/1.90 (define @t143 () (tptp.distinct_lines @t130 @t93)) % 1.62/1.90 (define @t144 () (not @t143)) % 1.62/1.90 (define @t145 () (or @t144 @t142)) % 1.62/1.90 (define @t146 () (tptp.apart_point_and_line @t92 @t93)) % 1.62/1.90 (define @t147 () (not @t146)) % 1.62/1.90 (define @t148 () (or @t107 @t147)) % 1.62/1.90 (define @t149 () (tptp.apart_point_and_line @t92 @t130)) % 1.62/1.90 (define @t150 () (not @t149)) % 1.62/1.90 (define @t151 () (or @t150 @t143 @t146)) % 1.62/1.90 (define @t152 () (@list true true false)) % 1.62/1.90 (define @t153 () (tptp.apart_point_and_line @t95 @t93)) % 1.62/1.90 (define @t154 () (not @t153)) % 1.62/1.90 (define @t155 () (= @t102 @t154)) % 1.62/1.90 (define @t156 () (tptp.apart_point_and_line @t95 @t130)) % 1.62/1.90 (define @t157 () (not @t156)) % 1.62/1.90 (define @t158 () (or @t157 @t143 @t153)) % 1.62/1.90 (define @t159 () (tptp.distinct_lines @t130 @t96)) % 1.62/1.90 (define @t160 () (not @t159)) % 1.62/1.90 (define @t161 () (or @t105 @t160 @t149 @t139 @t156 @t135)) % 1.62/1.90 (define @t162 () (tptp.apart_point_and_line @t97 @t130)) % 1.62/1.90 (define @t163 () (not @t162)) % 1.62/1.90 (define @t164 () (or @t163 @t159 @t124)) % 1.62/1.90 (define @t165 () (tptp.apart_point_and_line @t97 @t94)) % 1.62/1.90 (define @t166 () (not @t165)) % 1.62/1.90 (define @t167 () (or @t126 @t166)) % 1.62/1.90 (define @t168 () (tptp.distinct_lines @t93 @t93)) % 1.62/1.90 (define @t169 () (tptp.distinct_lines @t93 @t130)) % 1.62/1.90 (define @t170 () (not @t169)) % 1.62/1.90 (define @t171 () (or @t170 @t168 @t143)) % 1.62/1.90 (define @t172 () (tptp.unorthogonal_lines @t94 @t93)) % 1.62/1.90 (define @t173 () (tptp.convergent_lines @t94 @t93)) % 1.62/1.90 (define @t174 () (or @t173 @t172)) % 1.62/1.90 (define @t175 () (tptp.convergent_lines @t94 @t130)) % 1.62/1.90 (define @t176 () (not @t173)) % 1.62/1.90 (define @t177 () (or @t176 @t169 @t175)) % 1.62/1.90 (define @t178 () (tptp.convergent_lines @t94 @t94)) % 1.62/1.90 (define @t179 () (tptp.distinct_lines @t130 @t94)) % 1.62/1.90 (define @t180 () (not @t175)) % 1.62/1.90 (define @t181 () (or @t180 @t179 @t178)) % 1.62/1.90 (define @t182 () (tptp.apart_point_and_line @t91 @t130)) % 1.62/1.90 (define @t183 () (not @t179)) % 1.62/1.90 (define @t184 () (not @t128)) % 1.62/1.90 (define @t185 () (or @t184 @t183 @t182 @t116 @t162 @t165)) % 1.62/1.90 (define @t186 () (not @t185)) % 1.62/1.90 (define @t187 () (forall @t39 @t85)) % 1.62/1.90 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 1.62/1.90 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 1.62/1.90 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 1.62/1.90 (assume @p4 @t10) % 1.62/1.90 (assume @p5 @t15) % 1.62/1.90 (assume @p6 (forall @t9 (=> @t18 (or @t17 @t16)))) % 1.62/1.90 (assume @p7 @t22) % 1.62/1.90 (assume @p8 @t24) % 1.62/1.90 (assume @p9 @t27) % 1.62/1.90 (assume @p10 @t29) % 1.62/1.90 (assume @p11 @t40) % 1.62/1.90 (assume @p12 @t44) % 1.62/1.90 (assume @p13 @t47) % 1.62/1.90 (assume @p14 @t49) % 1.62/1.90 (assume @p15 @t50) % 1.62/1.90 (assume @p16 (forall @t21 (not (tptp.convergent_lines @t51 @t4)))) % 1.62/1.90 (assume @p17 (forall @t21 (not (tptp.apart_point_and_line @t1 @t51)))) % 1.62/1.90 (assume @p18 (forall @t9 (=> @t11 (or @t43 @t45 @t16)))) % 1.62/1.90 (assume @p19 (forall @t56 (or @t55 @t54))) % 1.62/1.90 (assume @p20 (forall @t62 (=> (and @t55 @t54) (or (and @t61 @t60) (and @t59 @t58))))) % 1.62/1.90 (assume @p21 (forall @t65 (not (tptp.unorthogonal_lines @t64 @t53)))) % 1.62/1.90 (assume @p22 (forall @t65 (not (tptp.apart_point_and_line @t63 @t64)))) % 1.62/1.90 (assume @p23 (forall (@list @t63 @t53 @t52 @t57) (=> (tptp.distinct_lines @t53 @t52) (or (tptp.apart_point_and_line @t63 @t53) (tptp.apart_point_and_line @t63 @t52) @t60 @t58)))) % 0.35/1.90 (assume @p24 (forall @t56 (not (and @t67 @t66)))) % 0.35/1.90 (assume @p25 (forall @t62 (=> (and (or @t67 @t66) (or (not @t61) @t69)) (or @t68 (not @t58))))) % 0.35/1.90 (assume @p26 (forall @t62 (=> (and @t66 @t69) @t68))) % 0.35/1.90 (assume @p27 (forall (@list @t63 @t70) (=> (and @t71 (tptp.point @t70) (tptp.distinct_points @t63 @t70)) (tptp.line (tptp.line_connecting @t63 @t70))))) % 0.35/1.90 (assume @p28 (forall @t56 (=> (and @t72 (tptp.line @t52) @t55) (tptp.point (tptp.intersection_point @t53 @t52))))) % 0.35/1.90 (assume @p29 (forall @t74 (=> @t73 (tptp.line (tptp.parallel_through_point @t53 @t63))))) % 0.35/1.90 (assume @p30 (forall @t74 (=> @t73 (tptp.line @t64)))) % 0.35/1.90 (assume @p31 (forall @t21 (= (tptp.equal_points @t1 @t4) @t75))) % 0.35/1.90 (assume @p32 (forall @t21 (= (tptp.equal_lines @t1 @t4) @t76))) % 0.35/1.90 (assume @p33 (forall @t21 (= (tptp.parallel_lines @t1 @t4) @t77))) % 0.35/1.90 (assume @p34 (forall @t21 (= (tptp.incident_point_and_line @t1 @t4) @t78))) % 0.35/1.90 (assume @p35 (forall @t21 (= (tptp.orthogonal_lines @t1 @t4) (not (tptp.unorthogonal_lines @t1 @t4))))) % 0.35/1.90 (assume @p36 @t83) % 0.35/1.90 (assume @p37 true) % 0.35/1.90 (step @p38 :rule aci_norm :args ((= (or (or @t75 @t84) @t36) @t85))) % 0.35/1.90 (step @p39 :rule refl :args (@t36)) % 0.35/1.90 (step @p40 :rule bool-and-de-morgan :args (@t8 @t37 true)) % 0.35/1.90 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or (not @t38) @t36))) % 0.35/1.90 (step @p42 :rule trans :premises (@p41 @p38)) % 0.35/1.90 (step @p43 :rule bool-impl-elim :args (@t38 @t36)) % 0.35/1.90 (step @p44 :rule trans :premises (@p43 @p42)) % 0.35/1.90 (step @p45 :rule cong :premises (@p44) :args (@t40)) % 0.35/1.90 (step @p46 :rule eq_resolve :premises (@p11 @p45)) % 0.35/1.90 (step @p47 :rule aci_norm :args ((= (or @t78 @t42) (or @t78 @t6 @t41)))) % 0.35/1.90 (step @p48 :rule bool-impl-elim :args (@t43 @t42)) % 0.35/1.90 (step @p49 :rule trans :premises (@p48 @p47)) % 0.35/1.90 (step @p50 :rule cong :premises (@p49) :args (@t44)) % 0.35/1.90 (step @p51 :rule eq_resolve :premises (@p12 @p50)) % 0.35/1.90 (step @p52 :rule instantiate :premises (@p51) :args ((@list @t91 @t96 @t97))) % 0.35/1.90 (step @p53 :rule bool-impl-elim :args (@t18 @t26)) % 0.35/1.90 (step @p54 :rule cong :premises (@p53) :args (@t27)) % 0.35/1.90 (step @p55 :rule eq_resolve :premises (@p9 @p54)) % 0.35/1.90 (step @p56 :rule instantiate :premises (@p55) :args (@t98)) % 0.35/1.90 (step @p57 :rule bool-impl-elim :args (@t14 @t18)) % 0.35/1.90 (step @p58 :rule cong :premises (@p57) :args (@t50)) % 0.35/1.90 (step @p59 :rule eq_resolve :premises (@p15 @p58)) % 0.35/1.90 (step @p60 :rule instantiate :premises (@p59) :args (@t98)) % 0.35/1.90 (step @p61 :rule aci_norm :args ((= (or @t78 @t46) (or @t78 @t11 @t45)))) % 0.35/1.90 (step @p62 :rule bool-impl-elim :args (@t43 @t46)) % 0.35/1.90 (step @p63 :rule trans :premises (@p62 @p61)) % 0.35/1.90 (step @p64 :rule cong :premises (@p63) :args (@t47)) % 0.35/1.90 (step @p65 :rule eq_resolve :premises (@p13 @p64)) % 0.35/1.90 (step @p66 :rule instantiate :premises (@p65) :args ((@list @t91 @t96 @t94))) % 0.35/1.90 (step @p67 :rule instantiate :premises (@p22) :args (@t99)) % 0.35/1.90 (step @p68 :rule instantiate :premises (@p34) :args ((@list @t91 @t96))) % 0.35/1.90 (step @p69 :rule aci_norm :args ((= (or @t100 @t79) @t89))) % 0.35/1.90 (step @p70 :rule refl :args (@t79)) % 0.35/1.90 (step @p71 :rule aci_norm :args ((= (or @t75 (or @t88 (or @t87 @t86))) @t100))) % 0.35/1.90 (step @p72 :rule bool-and-de-morgan :args (@t5 @t80 true)) % 0.35/1.90 (step @p73 :rule refl :args (@t88)) % 0.35/1.90 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t88 (not (and @t5 @t80))))) % 0.35/1.90 (step @p75 :rule bool-and-de-morgan :args (@t6 @t5 (and @t80))) % 0.35/1.90 (step @p76 :rule trans :premises (@p75 @p74)) % 0.35/1.90 (step @p77 :rule refl :args (@t75)) % 0.35/1.90 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or @t75 (not (and @t6 @t5 @t80))))) % 0.35/1.90 (step @p79 :rule bool-and-de-morgan :args (@t8 @t6 (and @t5 @t80))) % 0.35/1.90 (step @p80 :rule trans :premises (@p79 @p78)) % 0.35/1.90 (step @p81 :rule trans :premises (@p80 @p71)) % 0.35/1.90 (step @p82 :rule nary_cong :premises (@p81 @p70) :args ((or (not @t81) @t79))) % 0.35/1.90 (step @p83 :rule trans :premises (@p82 @p69)) % 0.35/1.90 (step @p84 :rule bool-impl-elim :args (@t81 @t79)) % 0.35/1.90 (step @p85 :rule trans :premises (@p84 @p83)) % 0.35/1.90 (step @p86 :rule cong :premises (@p85) :args (@t82)) % 0.35/1.90 (step @p87 :rule cong :premises (@p86) :args (@t83)) % 0.35/1.90 (step @p88 :rule eq_resolve :premises (@p36 @p87)) % 0.35/1.90 (step @p89 :rule skolemize :premises (@p88)) % 0.35/1.90 (step @p90 :rule cnf_or_neg :args (@t108 4)) % 0.35/1.90 (step @p91 :rule chain_m_resolution :premises (@p90 @p89) :args ((not @t101) @t109 @t110)) % 0.35/1.90 (step @p92 :rule bool-double-not-elim :args (@t111)) % 0.35/1.90 (step @p93 :rule refl :args (@t101)) % 0.35/1.90 (step @p94 :rule refl :args (@t114)) % 0.35/1.90 (step @p95 :rule nary_cong :premises (@p94 @p93 @p92) :args ((or @t114 @t101 (not @t112)))) % 0.35/1.90 (step @p96 :rule cnf_equiv_pos2 :args (@t113)) % 0.35/1.90 (step @p97 :rule eq_resolve :premises (@p96 @p95)) % 0.35/1.90 (step @p98 :rule reordering :premises (@p97) :args ((or @t101 @t111 @t114))) % 0.35/1.90 (step @p99 :rule chain_m_resolution :premises (@p98 @p91 @p68) :args (@t111 @t115 (@list @t101 @t113))) % 0.35/1.90 (step @p100 :rule cnf_or_pos :args (@t118)) % 0.35/1.90 (step @p101 :rule reordering :premises (@p100) :args ((or @t112 @t116 @t117 (not @t118)))) % 0.35/1.90 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p67 @p66) :args (@t117 @t119 (@list @t111 @t116 @t118))) % 0.35/1.90 (step @p103 :rule cnf_or_pos :args (@t122)) % 0.35/1.90 (step @p104 :rule reordering :premises (@p103) :args ((or @t120 @t121 (not @t122)))) % 0.35/1.90 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p60) :args (@t120 @t123 (@list @t117 @t122))) % 0.35/1.90 (step @p106 :rule cnf_or_pos :args (@t127)) % 0.35/1.90 (step @p107 :rule reordering :premises (@p106) :args ((or @t126 @t125 (not @t127)))) % 0.35/1.90 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p56) :args (@t125 @t123 (@list @t120 @t127))) % 0.35/1.90 (step @p109 :rule cnf_or_pos :args (@t129)) % 0.35/1.90 (step @p110 :rule reordering :premises (@p109) :args ((or @t112 @t124 @t128 (not @t129)))) % 0.35/1.90 (step @p111 :rule chain_m_resolution :premises (@p110 @p99 @p108 @p52) :args (@t128 @t119 (@list @t111 @t124 @t129))) % 0.35/1.90 (step @p112 :rule instantiate :premises (@p65) :args ((@list @t97 @t130 @t96))) % 0.35/1.90 (step @p113 :rule aci_norm :args ((= (or @t75 @t7) (or @t75 @t6 @t5)))) % 0.35/1.90 (step @p114 :rule bool-impl-elim :args (@t8 @t7)) % 0.35/1.90 (step @p115 :rule trans :premises (@p114 @p113)) % 0.35/1.90 (step @p116 :rule cong :premises (@p115) :args (@t10)) % 0.35/1.90 (step @p117 :rule eq_resolve :premises (@p4 @p116)) % 0.35/1.90 (step @p118 :rule instantiate :premises (@p117) :args ((@list @t92 @t95 @t92))) % 0.35/1.90 (step @p119 :rule instantiate :premises (@p1) :args ((@list @t92))) % 0.35/1.90 (step @p120 :rule bool-double-not-elim :args (@t104)) % 0.35/1.90 (step @p121 :rule refl :args (@t108)) % 0.35/1.90 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or @t108 (not @t105)))) % 0.35/1.90 (step @p123 :rule cnf_or_neg :args (@t108 2)) % 0.35/1.90 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 0.35/1.90 (step @p125 :rule reordering :premises (@p124) :args ((or @t104 @t108))) % 0.35/1.90 (step @p126 :rule chain_m_resolution :premises (@p125 @p89) :args (@t104 @t109 @t110)) % 0.35/1.90 (step @p127 :rule cnf_or_pos :args (@t133)) % 0.35/1.90 (step @p128 :rule reordering :premises (@p127) :args ((or @t105 @t131 @t132 (not @t133)))) % 0.35/1.90 (step @p129 :rule chain_m_resolution :premises (@p128 @p126 @p119 @p118) :args (@t131 @t119 (@list @t104 @t132 @t133))) % 0.35/1.90 (step @p130 :rule bool-impl-elim :args (@t8 @t20)) % 0.35/1.90 (step @p131 :rule cong :premises (@p130) :args (@t22)) % 0.35/1.90 (step @p132 :rule eq_resolve :premises (@p7 @p131)) % 0.35/1.90 (step @p133 :rule instantiate :premises (@p132) :args (@t134)) % 0.35/1.90 (step @p134 :rule cnf_or_pos :args (@t138)) % 0.35/1.90 (step @p135 :rule reordering :premises (@p134) :args ((or @t137 @t136 (not @t138)))) % 0.35/1.90 (step @p136 :rule bool-impl-elim :args (@t8 @t23)) % 0.35/1.90 (step @p137 :rule cong :premises (@p136) :args (@t24)) % 0.35/1.90 (step @p138 :rule eq_resolve :premises (@p8 @p137)) % 0.35/1.90 (step @p139 :rule instantiate :premises (@p138) :args (@t134)) % 0.35/1.90 (step @p140 :rule cnf_or_pos :args (@t141)) % 0.35/1.90 (step @p141 :rule reordering :premises (@p140) :args ((or @t137 @t140 (not @t141)))) % 0.35/1.90 (step @p142 :rule instantiate :premises (@p65) :args ((@list @t92 @t130 @t93))) % 0.35/1.90 (step @p143 :rule instantiate :premises (@p59) :args ((@list @t130 @t93))) % 0.35/1.90 (step @p144 :rule instantiate :premises (@p16) :args (@t99)) % 0.35/1.90 (step @p145 :rule cnf_or_pos :args (@t145)) % 0.35/1.90 (step @p146 :rule reordering :premises (@p145) :args ((or @t142 @t144 (not @t145)))) % 0.35/1.90 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p143) :args (@t144 @t115 (@list @t142 @t145))) % 0.35/1.90 (step @p148 :rule instantiate :premises (@p138) :args ((@list @t91 @t92))) % 0.35/1.90 (step @p149 :rule bool-double-not-elim :args (@t106)) % 0.35/1.90 (step @p150 :rule nary_cong :premises (@p121 @p149) :args ((or @t108 (not @t107)))) % 0.35/1.90 (step @p151 :rule cnf_or_neg :args (@t108 0)) % 0.35/1.90 (step @p152 :rule eq_resolve :premises (@p151 @p150)) % 0.35/1.90 (step @p153 :rule reordering :premises (@p152) :args ((or @t106 @t108))) % 0.35/1.90 (step @p154 :rule chain_m_resolution :premises (@p153 @p89) :args (@t106 @t109 @t110)) % 0.35/1.90 (step @p155 :rule cnf_or_pos :args (@t148)) % 0.35/1.90 (step @p156 :rule reordering :premises (@p155) :args ((or @t107 @t147 (not @t148)))) % 0.35/1.90 (step @p157 :rule chain_m_resolution :premises (@p156 @p154 @p148) :args (@t147 @t123 (@list @t106 @t148))) % 0.35/1.90 (step @p158 :rule cnf_or_pos :args (@t151)) % 0.35/1.90 (step @p159 :rule reordering :premises (@p158) :args ((or @t146 @t143 @t150 (not @t151)))) % 0.35/1.90 (step @p160 :rule chain_m_resolution :premises (@p159 @p157 @p147 @p142) :args (@t150 @t152 (@list @t146 @t143 @t151))) % 0.35/1.90 (step @p161 :rule instantiate :premises (@p65) :args ((@list @t95 @t130 @t93))) % 0.35/1.90 (step @p162 :rule instantiate :premises (@p34) :args ((@list @t95 @t93))) % 0.35/1.90 (step @p163 :rule bool-double-not-elim :args (@t102)) % 0.35/1.90 (step @p164 :rule nary_cong :premises (@p121 @p163) :args ((or @t108 (not @t103)))) % 0.35/1.90 (step @p165 :rule cnf_or_neg :args (@t108 3)) % 0.35/1.90 (step @p166 :rule eq_resolve :premises (@p165 @p164)) % 0.35/1.90 (step @p167 :rule reordering :premises (@p166) :args ((or @t102 @t108))) % 0.35/1.90 (step @p168 :rule chain_m_resolution :premises (@p167 @p89) :args (@t102 @t109 @t110)) % 0.35/1.90 (step @p169 :rule cnf_equiv_pos1 :args (@t155)) % 0.35/1.90 (step @p170 :rule reordering :premises (@p169) :args ((or @t103 @t154 (not @t155)))) % 0.35/1.90 (step @p171 :rule chain_m_resolution :premises (@p170 @p168 @p162) :args (@t154 @t123 (@list @t102 @t155))) % 0.35/1.90 (step @p172 :rule cnf_or_pos :args (@t158)) % 0.35/1.90 (step @p173 :rule reordering :premises (@p172) :args ((or @t153 @t143 @t157 (not @t158)))) % 0.35/1.90 (step @p174 :rule chain_m_resolution :premises (@p173 @p171 @p147 @p161) :args (@t157 @t152 (@list @t153 @t143 @t158))) % 0.35/1.90 (step @p175 :rule instantiate :premises (@p46) :args ((@list @t92 @t95 @t130 @t96))) % 0.35/1.90 (step @p176 :rule cnf_or_pos :args (@t161)) % 0.35/1.90 (step @p177 :rule reordering :premises (@p176) :args ((or @t105 @t135 @t139 @t160 @t156 @t149 (not @t161)))) % 0.35/1.90 (step @p178 :rule chain_m_resolution :premises (@p177 @p175 @p174 @p160 @p126 @p141 @p139 @p135 @p133) :args ((or @t137 @t160) (@list false true true false true false true false) (@list @t161 @t156 @t149 @t104 @t139 @t141 @t135 @t138))) % 0.35/1.90 (step @p179 :rule chain_m_resolution :premises (@p178 @p129) :args (@t160 (@list false) (@list @t131))) % 0.35/1.90 (step @p180 :rule cnf_or_pos :args (@t164)) % 0.35/1.90 (step @p181 :rule reordering :premises (@p180) :args ((or @t159 @t124 @t163 (not @t164)))) % 0.35/1.90 (step @p182 :rule chain_m_resolution :premises (@p181 @p179 @p108 @p112) :args (@t163 @t152 (@list @t159 @t124 @t164))) % 0.35/1.90 (step @p183 :rule bool-impl-elim :args (@t18 @t28)) % 0.35/1.90 (step @p184 :rule cong :premises (@p183) :args (@t29)) % 0.35/1.90 (step @p185 :rule eq_resolve :premises (@p10 @p184)) % 0.35/1.90 (step @p186 :rule instantiate :premises (@p185) :args (@t98)) % 0.35/1.90 (step @p187 :rule cnf_or_pos :args (@t167)) % 0.35/1.90 (step @p188 :rule reordering :premises (@p187) :args ((or @t126 @t166 (not @t167)))) % 0.35/1.90 (step @p189 :rule chain_m_resolution :premises (@p188 @p105 @p186) :args (@t166 @t123 (@list @t120 @t167))) % 0.35/1.90 (step @p190 :rule aci_norm :args ((= (or @t77 @t48) (or @t77 @t11 @t17)))) % 0.35/1.90 (step @p191 :rule bool-impl-elim :args (@t18 @t48)) % 0.35/1.90 (step @p192 :rule trans :premises (@p191 @p190)) % 0.35/1.90 (step @p193 :rule cong :premises (@p192) :args (@t49)) % 0.35/1.90 (step @p194 :rule eq_resolve :premises (@p14 @p193)) % 0.35/1.90 (step @p195 :rule instantiate :premises (@p194) :args ((@list @t94 @t130 @t94))) % 0.35/1.90 (step @p196 :rule instantiate :premises (@p3) :args ((@list @t94))) % 0.35/1.90 (step @p197 :rule instantiate :premises (@p194) :args ((@list @t94 @t93 @t130))) % 0.35/1.90 (step @p198 :rule aci_norm :args ((= (or @t76 @t13) (or @t76 @t12 @t11)))) % 0.35/1.90 (step @p199 :rule bool-impl-elim :args (@t14 @t13)) % 0.35/1.90 (step @p200 :rule trans :premises (@p199 @p198)) % 0.35/1.90 (step @p201 :rule cong :premises (@p200) :args (@t15)) % 0.35/1.90 (step @p202 :rule eq_resolve :premises (@p5 @p201)) % 0.35/1.90 (step @p203 :rule instantiate :premises (@p202) :args ((@list @t93 @t130 @t93))) % 0.35/1.90 (step @p204 :rule instantiate :premises (@p2) :args ((@list @t93))) % 0.35/1.90 (step @p205 :rule cnf_or_pos :args (@t171)) % 0.35/1.90 (step @p206 :rule reordering :premises (@p205) :args ((or @t168 @t143 @t170 (not @t171)))) % 0.35/1.90 (step @p207 :rule chain_m_resolution :premises (@p206 @p204 @p147 @p203) :args (@t170 @t152 (@list @t168 @t143 @t171))) % 0.35/1.90 (step @p208 :rule instantiate :premises (@p19) :args ((@list @t94 @t93))) % 0.35/1.90 (step @p209 :rule instantiate :premises (@p21) :args (@t99)) % 0.35/1.90 (step @p210 :rule cnf_or_pos :args (@t174)) % 0.35/1.90 (step @p211 :rule reordering :premises (@p210) :args ((or @t172 @t173 (not @t174)))) % 0.35/1.90 (step @p212 :rule chain_m_resolution :premises (@p211 @p209 @p208) :args (@t173 @t115 (@list @t172 @t174))) % 0.35/1.90 (step @p213 :rule cnf_or_pos :args (@t177)) % 0.35/1.90 (step @p214 :rule reordering :premises (@p213) :args ((or @t176 @t175 @t169 (not @t177)))) % 0.35/1.90 (step @p215 :rule chain_m_resolution :premises (@p214 @p212 @p207 @p197) :args (@t175 @t119 (@list @t173 @t169 @t177))) % 0.35/1.90 (step @p216 :rule cnf_or_pos :args (@t181)) % 0.35/1.90 (step @p217 :rule reordering :premises (@p216) :args ((or @t179 @t180 @t178 (not @t181)))) % 0.35/1.90 (step @p218 :rule chain_m_resolution :premises (@p217 @p215 @p196 @p195) :args (@t179 @t119 (@list @t175 @t178 @t181))) % 0.35/1.90 (step @p219 :rule instantiate :premises (@p17) :args (@t99)) % 0.35/1.90 (step @p220 :rule cnf_or_pos :args (@t185)) % 0.35/1.90 (step @p221 :rule reordering :premises (@p220) :args ((or @t182 @t116 @t183 @t165 @t162 @t184 @t186))) % 0.35/1.90 (step @p222 :rule chain_m_resolution :premises (@p221 @p219 @p67 @p218 @p189 @p182 @p111) :args (@t186 (@list true true false true true false) (@list @t182 @t116 @t179 @t165 @t162 @t128))) % 0.35/1.90 (assume-push @p229 @t187) % 0.35/1.90 (step @p224 :rule instantiate :premises (@p46) :args ((@list @t91 @t97 @t130 @t94))) % 0.35/1.90 (step-pop @p230 :rule scope :premises (@p224)) % 0.35/1.90 (step @p225 :rule process_scope :premises (@p230) :args (@t185)) % 0.35/1.90 (step @p227 :rule implies_elim :premises (@p225)) % 0.35/1.90 (step @p228 false :rule chain_m_resolution :premises (@p227 @p222 @p46) :args (false @t115 (@list @t185 @t187))) % 0.35/1.90 ) % 0.35/1.90 % SZS output end Proof % 0.35/1.91 % cvc5 exiting %------------------------------------------------------------------------------