%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO254+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 : n007.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 08:16:57 AM UTC 2026 % Result : Theorem 0.93s 1.16s % Output : Proof 0.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : GEO254+1 : TPTP v9.2.1. Bugfixed v6.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n007.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Mon Jun 1 23:40:42 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.93/1.16 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.93/1.16 % SZS status Theorem % 0.93/1.16 % SZS output start Proof % 0.93/1.16 ( % 0.93/1.16 (declare-sort $$unsorted 0) % 0.93/1.16 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.93/1.16 (declare-const tptp.left_apart_point (-> $$unsorted $$unsorted Bool)) % 0.93/1.16 (declare-const tptp.point (-> $$unsorted Bool)) % 0.93/1.16 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.93/1.16 (declare-const tptp.unequally_directed_lines (-> $$unsorted $$unsorted Bool)) % 0.93/1.16 (declare-const tptp.between_on_line (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.93/1.16 (declare-const tptp.line (-> $$unsorted Bool)) % 0.93/1.16 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.93/1.16 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.93/1.16 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.93/1.16 (declare-const tptp.reverse_line (-> $$unsorted $$unsorted)) % 0.93/1.16 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.93/1.16 (declare-const tptp.before_on_line (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.93/1.16 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.93/1.16 (declare-const tptp.divides_points (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.93/1.16 (declare-const tptp.left_convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.93/1.16 (define @t1 () (@var "L" $$unsorted)) % 0.93/1.16 (define @t2 () (tptp.reverse_line @t1)) % 0.93/1.16 (define @t3 () (@var "A" $$unsorted)) % 0.93/1.16 (define @t4 () (tptp.left_apart_point @t3 @t2)) % 0.93/1.16 (define @t5 () (tptp.left_apart_point @t3 @t1)) % 0.93/1.16 (define @t6 () (or @t5 @t4)) % 0.93/1.16 (define @t7 () (tptp.apart_point_and_line @t3 @t1)) % 0.93/1.16 (define @t8 () (@list @t3 @t1)) % 0.93/1.16 (define @t9 () (@var "M" $$unsorted)) % 0.93/1.16 (define @t10 () (tptp.reverse_line @t9)) % 0.93/1.16 (define @t11 () (tptp.unequally_directed_lines @t1 @t10)) % 0.93/1.16 (define @t12 () (tptp.unequally_directed_lines @t1 @t9)) % 0.93/1.16 (define @t13 () (and @t12 @t11)) % 0.93/1.16 (define @t14 () (@list @t1 @t9)) % 0.93/1.16 (define @t15 () (@var "B" $$unsorted)) % 0.93/1.16 (define @t16 () (tptp.left_apart_point @t15 @t1)) % 0.93/1.16 (define @t17 () (tptp.left_apart_point @t15 @t2)) % 0.93/1.16 (define @t18 () (@list @t3 @t15 @t1)) % 0.93/1.16 (define @t19 () (tptp.line_connecting @t3 @t15)) % 0.93/1.16 (define @t20 () (not (tptp.unequally_directed_lines @t1 @t19))) % 0.93/1.16 (define @t21 () (not @t6)) % 0.93/1.16 (define @t22 () (tptp.distinct_points @t3 @t15)) % 0.93/1.16 (define @t23 () (and @t22 @t21 (not (or @t16 @t17)) @t20)) % 0.93/1.16 (define @t24 () (tptp.before_on_line @t1 @t3 @t15)) % 0.93/1.16 (define @t25 () (= @t24 @t23)) % 0.93/1.16 (define @t26 () (forall (@list @t1 @t3 @t15) @t25)) % 0.93/1.16 (define @t27 () (tptp.before_on_line @t1 @t15 @t3)) % 0.93/1.16 (define @t28 () (@var "C" $$unsorted)) % 0.93/1.16 (define @t29 () (tptp.distinct_points @t15 @t28)) % 0.93/1.16 (define @t30 () (tptp.distinct_points @t3 @t28)) % 0.93/1.16 (define @t31 () (or @t30 @t29)) % 0.93/1.16 (define @t32 () (forall (@list @t3 @t15 @t28) (=> @t22 @t31))) % 0.93/1.16 (define @t33 () (@list @t1)) % 0.93/1.16 (define @t34 () (@var "N" $$unsorted)) % 0.93/1.16 (define @t35 () (tptp.distinct_lines @t1 @t9)) % 0.93/1.16 (define @t36 () (@list @t1 @t9 @t34)) % 0.93/1.16 (define @t37 () (forall @t33 (not (tptp.unequally_directed_lines @t1 @t1)))) % 0.93/1.16 (define @t38 () (tptp.unequally_directed_lines @t9 @t34)) % 0.93/1.16 (define @t39 () (tptp.unequally_directed_lines @t1 @t34)) % 0.93/1.16 (define @t40 () (or @t39 @t38)) % 0.93/1.16 (define @t41 () (forall @t36 (=> @t12 @t40))) % 0.93/1.16 (define @t42 () (tptp.reverse_line @t34)) % 0.93/1.16 (define @t43 () (and @t38 (tptp.unequally_directed_lines @t9 @t42))) % 0.93/1.16 (define @t44 () (and @t39 (tptp.unequally_directed_lines @t1 @t42))) % 0.93/1.16 (define @t45 () (or @t44 @t43)) % 0.93/1.16 (define @t46 () (forall @t36 (=> @t13 @t45))) % 0.93/1.16 (define @t47 () (tptp.line @t9)) % 0.93/1.16 (define @t48 () (tptp.line @t1)) % 0.93/1.16 (define @t49 () (tptp.left_convergent_lines @t1 @t10)) % 0.93/1.16 (define @t50 () (tptp.left_convergent_lines @t1 @t9)) % 0.93/1.16 (define @t51 () (or @t50 @t49)) % 0.93/1.16 (define @t52 () (forall @t14 (=> @t13 @t51))) % 0.93/1.16 (define @t53 () (forall @t14 (not @t51))) % 0.93/1.16 (define @t54 () (tptp.point @t3)) % 0.93/1.16 (define @t55 () (@list @t3 @t15)) % 0.93/1.16 (define @t56 () (tptp.intersection_point @t1 @t9)) % 0.93/1.16 (define @t57 () (tptp.parallel_through_point @t1 @t3)) % 0.93/1.16 (define @t58 () (tptp.left_apart_point @t3 @t10)) % 0.93/1.16 (define @t59 () (tptp.left_convergent_lines @t1 @t34)) % 0.93/1.16 (define @t60 () (or @t38 @t59)) % 0.93/1.16 (define @t61 () (forall @t36 (=> @t50 @t60))) % 0.93/1.16 (define @t62 () (and @t24 @t27)) % 0.93/1.16 (define @t63 () (tptp.apart_point_and_line @t15 @t1)) % 0.93/1.16 (define @t64 () (not @t63)) % 0.93/1.16 (define @t65 () (not @t7)) % 0.93/1.16 (define @t66 () (and @t22 @t65 @t64)) % 0.93/1.16 (define @t67 () (forall @t18 (=> @t66 @t62))) % 0.93/1.16 (define @t68 () (not @t67)) % 0.93/1.16 (define @t69 () (not @t12)) % 0.93/1.16 (define @t70 () (not @t22)) % 0.93/1.16 (define @t71 () (or @t70 @t7 @t63 @t62)) % 0.93/1.16 (define @t72 () (forall @t18 @t71)) % 0.93/1.16 (define @t73 () (@quantifiers_skolemize @t72 0)) % 0.93/1.16 (define @t74 () (@quantifiers_skolemize @t72 1)) % 0.93/1.16 (define @t75 () (tptp.line_connecting @t74 @t73)) % 0.93/1.16 (define @t76 () (tptp.line_connecting @t73 @t73)) % 0.93/1.16 (define @t77 () (tptp.reverse_line @t76)) % 0.93/1.16 (define @t78 () (tptp.unequally_directed_lines @t75 @t77)) % 0.93/1.16 (define @t79 () (tptp.unequally_directed_lines @t75 @t76)) % 0.93/1.16 (define @t80 () (and @t79 @t78)) % 0.93/1.16 (define @t81 () (@quantifiers_skolemize @t72 2)) % 0.93/1.16 (define @t82 () (tptp.unequally_directed_lines @t76 @t77)) % 0.93/1.16 (define @t83 () (tptp.unequally_directed_lines @t81 @t77)) % 0.93/1.16 (define @t84 () (tptp.unequally_directed_lines @t81 @t76)) % 0.93/1.16 (define @t85 () (not @t84)) % 0.93/1.16 (define @t86 () (or @t85 @t83 @t82)) % 0.93/1.16 (define @t87 () (not @t49)) % 0.93/1.16 (define @t88 () (forall @t14 @t87)) % 0.93/1.16 (define @t89 () (@list @t1 @t9)) % 0.93/1.16 (define @t90 () (not @t50)) % 0.93/1.16 (define @t91 () (forall @t14 @t90)) % 0.93/1.16 (define @t92 () (and @t91 @t88)) % 0.93/1.16 (define @t93 () (@list @t81 @t76)) % 0.93/1.16 (define @t94 () (not @t11)) % 0.93/1.16 (define @t95 () (or @t69 @t94)) % 0.93/1.16 (define @t96 () (not @t13)) % 0.93/1.16 (define @t97 () (tptp.left_convergent_lines @t81 @t77)) % 0.93/1.16 (define @t98 () (tptp.left_convergent_lines @t81 @t76)) % 0.93/1.16 (define @t99 () (not @t83)) % 0.93/1.16 (define @t100 () (or @t85 @t99 @t98 @t97)) % 0.93/1.16 (define @t101 () (tptp.unequally_directed_lines @t81 @t75)) % 0.93/1.16 (define @t102 () (not @t101)) % 0.93/1.16 (define @t103 () (or @t102 @t84 @t79)) % 0.93/1.16 (define @t104 () (tptp.line_connecting @t73 @t74)) % 0.93/1.16 (define @t105 () (tptp.unequally_directed_lines @t104 @t76)) % 0.93/1.16 (define @t106 () (tptp.unequally_directed_lines @t81 @t104)) % 0.93/1.16 (define @t107 () (not @t106)) % 0.93/1.16 (define @t108 () (or @t107 @t84 @t105)) % 0.93/1.16 (define @t109 () (not @t64)) % 0.93/1.16 (define @t110 () (not @t65)) % 0.93/1.16 (define @t111 () (or @t70 @t110 @t109)) % 0.93/1.16 (define @t112 () (tptp.distinct_points @t73 @t74)) % 0.93/1.16 (define @t113 () (tptp.before_on_line @t81 @t74 @t73)) % 0.93/1.16 (define @t114 () (tptp.before_on_line @t81 @t73 @t74)) % 0.93/1.16 (define @t115 () (and @t114 @t113)) % 0.93/1.16 (define @t116 () (tptp.apart_point_and_line @t74 @t81)) % 0.93/1.16 (define @t117 () (tptp.apart_point_and_line @t73 @t81)) % 0.93/1.16 (define @t118 () (not @t112)) % 0.93/1.16 (define @t119 () (or @t118 @t117 @t116 @t115)) % 0.93/1.16 (define @t120 () (@list true)) % 0.93/1.16 (define @t121 () (@list @t119)) % 0.93/1.16 (define @t122 () (tptp.distinct_points @t74 @t73)) % 0.93/1.16 (define @t123 () (tptp.distinct_points @t73 @t73)) % 0.93/1.16 (define @t124 () (or @t118 @t123 @t122)) % 0.93/1.16 (define @t125 () (@list false true false)) % 0.93/1.16 (define @t126 () (tptp.reverse_line @t81)) % 0.93/1.16 (define @t127 () (tptp.left_apart_point @t73 @t126)) % 0.93/1.16 (define @t128 () (tptp.left_apart_point @t73 @t81)) % 0.93/1.16 (define @t129 () (or @t128 @t127)) % 0.93/1.16 (define @t130 () (= @t117 @t129)) % 0.93/1.16 (define @t131 () (not @t129)) % 0.93/1.16 (define @t132 () (@list true false)) % 0.93/1.16 (define @t133 () (not @t127)) % 0.93/1.16 (define @t134 () (@list @t129)) % 0.93/1.16 (define @t135 () (not @t128)) % 0.93/1.16 (define @t136 () (tptp.left_apart_point @t74 @t126)) % 0.93/1.16 (define @t137 () (tptp.left_apart_point @t74 @t81)) % 0.93/1.16 (define @t138 () (or @t137 @t136)) % 0.93/1.16 (define @t139 () (= @t116 @t138)) % 0.93/1.16 (define @t140 () (not @t138)) % 0.93/1.16 (define @t141 () (not @t136)) % 0.93/1.16 (define @t142 () (@list @t138)) % 0.93/1.16 (define @t143 () (not @t137)) % 0.93/1.16 (define @t144 () (not @t122)) % 0.93/1.16 (define @t145 () (and @t122 @t143 @t141 @t135 @t133 @t102)) % 0.93/1.16 (define @t146 () (not @t133)) % 0.93/1.16 (define @t147 () (not @t135)) % 0.93/1.16 (define @t148 () (not @t141)) % 0.93/1.16 (define @t149 () (not @t143)) % 0.93/1.16 (define @t150 () (and @t112 @t135 @t133 @t143 @t141 @t107)) % 0.93/1.16 (define @t151 () (not @t17)) % 0.93/1.16 (define @t152 () (not @t16)) % 0.93/1.16 (define @t153 () (not @t4)) % 0.93/1.16 (define @t154 () (not @t5)) % 0.93/1.16 (define @t155 () (= @t113 @t145)) % 0.93/1.16 (define @t156 () (= @t114 @t150)) % 0.93/1.16 (define @t157 () (tptp.reverse_line @t75)) % 0.93/1.16 (define @t158 () (tptp.unequally_directed_lines @t76 @t157)) % 0.93/1.16 (define @t159 () (tptp.unequally_directed_lines @t104 @t157)) % 0.93/1.16 (define @t160 () (not @t105)) % 0.93/1.16 (define @t161 () (or @t160 @t159 @t158)) % 0.93/1.16 (define @t162 () (tptp.unequally_directed_lines @t76 @t76)) % 0.93/1.16 (define @t163 () (and @t162 @t82)) % 0.93/1.16 (define @t164 () (not @t163)) % 0.93/1.16 (define @t165 () (not @t158)) % 0.93/1.16 (define @t166 () (tptp.unequally_directed_lines @t76 @t75)) % 0.93/1.16 (define @t167 () (not @t166)) % 0.93/1.16 (define @t168 () (or @t167 @t165 @t163 @t80)) % 0.93/1.16 (define @t169 () (tptp.unequally_directed_lines @t157 @t77)) % 0.93/1.16 (define @t170 () (or @t165 @t82 @t169)) % 0.93/1.16 (define @t171 () (tptp.unequally_directed_lines @t157 @t76)) % 0.93/1.16 (define @t172 () (or @t165 @t162 @t171)) % 0.93/1.16 (define @t173 () (and @t166 @t158)) % 0.93/1.16 (define @t174 () (tptp.unequally_directed_lines @t157 @t157)) % 0.93/1.16 (define @t175 () (and (tptp.unequally_directed_lines @t157 @t75) @t174)) % 0.93/1.16 (define @t176 () (not @t175)) % 0.93/1.16 (define @t177 () (not @t169)) % 0.93/1.16 (define @t178 () (not @t171)) % 0.93/1.16 (define @t179 () (or @t178 @t177 @t175 @t173)) % 0.93/1.16 (define @t180 () (tptp.left_convergent_lines @t75 @t77)) % 0.93/1.16 (define @t181 () (tptp.left_convergent_lines @t75 @t76)) % 0.93/1.16 (define @t182 () (not @t181)) % 0.93/1.16 (define @t183 () (or @t182 @t82 @t180)) % 0.93/1.16 (define @t184 () (not @t78)) % 0.93/1.16 (define @t185 () (not @t79)) % 0.93/1.16 (define @t186 () (or @t185 @t184 @t181 @t180)) % 0.93/1.16 (define @t187 () (or @t167 @t82 @t78)) % 0.93/1.16 (define @t188 () (tptp.unequally_directed_lines @t75 @t75)) % 0.93/1.16 (define @t189 () (or @t185 @t188 @t166)) % 0.93/1.16 (assume @p1 (forall @t8 (= @t7 @t6))) % 0.93/1.16 (assume @p2 (forall @t14 (= (tptp.convergent_lines @t1 @t9) @t13))) % 0.93/1.16 (assume @p3 (forall @t18 (= (tptp.divides_points @t1 @t3 @t15) (or (and @t5 @t17) (and @t4 @t16))))) % 0.93/1.16 (assume @p4 @t26) % 0.93/1.16 (assume @p5 (forall (@list @t1 @t3 @t15 @t28) (= (tptp.between_on_line @t1 @t3 @t15 @t28) (or (and @t24 (tptp.before_on_line @t1 @t15 @t28)) (and (tptp.before_on_line @t1 @t28 @t15) @t27))))) % 0.93/1.16 (assume @p6 (forall (@list @t3) (not (tptp.distinct_points @t3 @t3)))) % 0.93/1.16 (assume @p7 @t32) % 0.93/1.16 (assume @p8 (forall @t33 (not (tptp.distinct_lines @t1 @t1)))) % 0.93/1.16 (assume @p9 (forall @t36 (=> @t35 (or (tptp.distinct_lines @t1 @t34) (tptp.distinct_lines @t9 @t34))))) % 0.93/1.16 (assume @p10 @t37) % 0.93/1.16 (assume @p11 @t41) % 0.93/1.16 (assume @p12 @t46) % 0.93/1.16 (assume @p13 (forall @t14 (=> (and @t48 @t47) (or @t12 @t11)))) % 0.93/1.16 (assume @p14 @t52) % 0.93/1.16 (assume @p15 (forall @t8 @t21)) % 0.93/1.16 (assume @p16 @t53) % 0.93/1.16 (assume @p17 (forall @t55 (=> (and @t54 (tptp.point @t15) @t22) (tptp.line @t19)))) % 0.93/1.16 (assume @p18 (forall @t14 (=> (and @t48 @t47 @t12 @t11) (tptp.point @t56)))) % 0.93/1.16 (assume @p19 (forall (@list @t1 @t3) (=> (and @t54 @t48) (tptp.line @t57)))) % 0.93/1.16 (assume @p20 (forall @t33 (=> @t48 (tptp.line @t2)))) % 0.93/1.16 (assume @p21 (forall @t55 (=> @t22 (and (not (tptp.apart_point_and_line @t3 @t19)) (not (tptp.apart_point_and_line @t15 @t19)))))) % 0.93/1.16 (assume @p22 (forall @t14 (=> @t13 (and (not (tptp.apart_point_and_line @t56 @t1)) (not (tptp.apart_point_and_line @t56 @t9)))))) % 0.93/1.16 (assume @p23 (forall @t8 (not (tptp.apart_point_and_line @t3 @t57)))) % 0.93/1.16 (assume @p24 (forall @t33 (not (tptp.distinct_lines @t1 @t2)))) % 0.93/1.16 (assume @p25 (forall @t55 (not (tptp.unequally_directed_lines @t19 (tptp.reverse_line (tptp.line_connecting @t15 @t3)))))) % 0.93/1.16 (assume @p26 (forall @t8 (not (tptp.unequally_directed_lines @t57 @t1)))) % 0.93/1.16 (assume @p27 (forall (@list @t3 @t15 @t1 @t9) (=> (and @t22 @t35) (or @t5 @t16 (tptp.left_apart_point @t3 @t9) (tptp.left_apart_point @t15 @t9) @t4 @t17 @t58 (tptp.left_apart_point @t15 @t10))))) % 0.93/1.16 (assume @p28 (forall @t18 (=> (and @t22 @t5) (or @t16 (tptp.left_convergent_lines @t19 @t1))))) % 0.93/1.16 (assume @p29 (forall @t18 (=> @t5 (or @t22 @t16)))) % 0.93/1.16 (assume @p30 (forall (@list @t3 @t1 @t9) (=> (and @t5 @t12) (or @t35 @t58)))) % 0.93/1.16 (assume @p31 @t61) % 0.93/1.16 (assume @p32 @t68) % 0.93/1.16 (assume @p33 true) % 0.93/1.16 (step @p34 :rule aci_norm :args ((= (or @t69 @t40) (or @t69 @t39 @t38)))) % 0.93/1.16 (step @p35 :rule bool-impl-elim :args (@t12 @t40)) % 0.93/1.16 (step @p36 :rule trans :premises (@p35 @p34)) % 0.93/1.16 (step @p37 :rule cong :premises (@p36) :args (@t41)) % 0.93/1.16 (step @p38 :rule eq_resolve :premises (@p11 @p37)) % 0.93/1.16 (step @p39 :rule instantiate :premises (@p38) :args ((@list @t75 @t76 @t75))) % 0.93/1.16 (step @p40 :rule instantiate :premises (@p38) :args ((@list @t76 @t75 @t77))) % 0.93/1.16 (step @p41 :rule cnf_and_pos :args (@t80 0)) % 0.93/1.16 (step @p42 :rule reordering :premises (@p41) :args ((or @t79 (not @t80)))) % 0.93/1.16 (step @p43 :rule instantiate :premises (@p25) :args ((@list @t73 @t73))) % 0.93/1.16 (step @p44 :rule instantiate :premises (@p38) :args ((@list @t81 @t76 @t77))) % 0.93/1.16 (step @p45 :rule cnf_or_pos :args (@t86)) % 0.93/1.16 (step @p46 :rule reordering :premises (@p45) :args ((or @t85 @t82 @t83 (not @t86)))) % 0.93/1.16 (step @p47 :rule alpha_equiv :args (@t88 @t89 (@list (@var "BOUND_VARIABLE_7686" $$unsorted) (@var "BOUND_VARIABLE_7688" $$unsorted)))) % 0.93/1.16 (step @p48 :rule alpha_equiv :args (@t91 @t89 (@list (@var "BOUND_VARIABLE_7678" $$unsorted) (@var "BOUND_VARIABLE_7680" $$unsorted)))) % 0.93/1.16 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t92)) % 0.93/1.16 (step @p50 :rule quant-miniscope-and :args ((= (forall @t14 (and @t90 @t87)) @t92))) % 0.93/1.16 (step @p51 :rule trans :premises (@p50 @p49)) % 0.93/1.16 (step @p52 :rule bool-or-de-morgan :args (@t50 @t49 false)) % 0.93/1.16 (step @p53 :rule cong :premises (@p52) :args (@t53)) % 0.93/1.16 (step @p54 :rule trans :premises (@p53 @p51)) % 0.93/1.16 (step @p55 :rule eq_resolve :premises (@p16 @p54)) % 0.93/1.16 (step @p56 :rule and_elim :premises (@p55) :args (0)) % 0.93/1.16 (step @p57 :rule instantiate :premises (@p56) :args (@t93)) % 0.93/1.16 (step @p58 :rule instantiate :premises (@p56) :args ((@list @t81 @t77))) % 0.93/1.16 (step @p59 :rule aci_norm :args ((= (or @t95 @t51) (or @t69 @t94 @t50 @t49)))) % 0.93/1.16 (step @p60 :rule refl :args (@t51)) % 0.93/1.16 (step @p61 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 0.93/1.16 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t96 @t51))) % 0.93/1.16 (step @p63 :rule trans :premises (@p62 @p59)) % 0.93/1.16 (step @p64 :rule bool-impl-elim :args (@t13 @t51)) % 0.93/1.16 (step @p65 :rule trans :premises (@p64 @p63)) % 0.93/1.16 (step @p66 :rule cong :premises (@p65) :args (@t52)) % 0.93/1.16 (step @p67 :rule eq_resolve :premises (@p14 @p66)) % 0.93/1.16 (step @p68 :rule instantiate :premises (@p67) :args (@t93)) % 0.93/1.16 (step @p69 :rule cnf_or_pos :args (@t100)) % 0.93/1.16 (step @p70 :rule reordering :premises (@p69) :args ((or @t85 @t99 @t98 @t97 (not @t100)))) % 0.93/1.16 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p58 @p57 @p46 @p44 @p43) :args (@t85 (@list false true true false false true) (@list @t100 @t97 @t98 @t83 @t86 @t82))) % 0.93/1.16 (step @p72 :rule instantiate :premises (@p38) :args ((@list @t81 @t75 @t76))) % 0.93/1.16 (step @p73 :rule cnf_or_pos :args (@t103)) % 0.93/1.16 (step @p74 :rule reordering :premises (@p73) :args ((or @t102 @t84 @t79 (not @t103)))) % 0.93/1.16 (step @p75 :rule instantiate :premises (@p38) :args ((@list @t81 @t104 @t76))) % 0.93/1.16 (step @p76 :rule cnf_or_pos :args (@t108)) % 0.93/1.16 (step @p77 :rule reordering :premises (@p76) :args ((or @t107 @t84 @t105 (not @t108)))) % 0.93/1.16 (step @p78 :rule aci_norm :args ((= (or @t70 @t31) (or @t70 @t30 @t29)))) % 0.93/1.16 (step @p79 :rule bool-impl-elim :args (@t22 @t31)) % 0.93/1.16 (step @p80 :rule trans :premises (@p79 @p78)) % 0.93/1.16 (step @p81 :rule cong :premises (@p80) :args (@t32)) % 0.93/1.16 (step @p82 :rule eq_resolve :premises (@p7 @p81)) % 0.93/1.16 (step @p83 :rule instantiate :premises (@p82) :args ((@list @t73 @t74 @t73))) % 0.93/1.16 (step @p84 :rule instantiate :premises (@p6) :args ((@list @t73))) % 0.93/1.16 (step @p85 :rule aci_norm :args ((= (or (or @t70 @t7 @t63) @t62) @t71))) % 0.93/1.16 (step @p86 :rule refl :args (@t62)) % 0.93/1.16 (step @p87 :rule bool-double-not-elim :args (@t63)) % 0.93/1.16 (step @p88 :rule bool-double-not-elim :args (@t7)) % 0.93/1.16 (step @p89 :rule refl :args (@t70)) % 0.93/1.16 (step @p90 :rule nary_cong :premises (@p89 @p88 @p87) :args (@t111)) % 0.93/1.16 (step @p91 :rule aci_norm :args ((= (or @t70 (or @t110 @t109)) @t111))) % 0.93/1.16 (step @p92 :rule trans :premises (@p91 @p90)) % 0.93/1.16 (step @p93 :rule bool-and-de-morgan :args (@t65 @t64 true)) % 0.93/1.16 (step @p94 :rule nary_cong :premises (@p89 @p93) :args ((or @t70 (not (and @t65 @t64))))) % 0.93/1.16 (step @p95 :rule bool-and-de-morgan :args (@t22 @t65 (and @t64))) % 0.93/1.16 (step @p96 :rule trans :premises (@p95 @p94)) % 0.93/1.16 (step @p97 :rule trans :premises (@p96 @p92)) % 0.93/1.16 (step @p98 :rule nary_cong :premises (@p97 @p86) :args ((or (not @t66) @t62))) % 0.93/1.16 (step @p99 :rule trans :premises (@p98 @p85)) % 0.93/1.16 (step @p100 :rule bool-impl-elim :args (@t66 @t62)) % 0.93/1.16 (step @p101 :rule trans :premises (@p100 @p99)) % 0.93/1.16 (step @p102 :rule cong :premises (@p101) :args (@t67)) % 0.93/1.16 (step @p103 :rule cong :premises (@p102) :args (@t68)) % 0.93/1.16 (step @p104 :rule eq_resolve :premises (@p32 @p103)) % 0.93/1.16 (step @p105 :rule skolemize :premises (@p104)) % 0.93/1.16 (step @p106 :rule bool-double-not-elim :args (@t112)) % 0.93/1.16 (step @p107 :rule refl :args (@t119)) % 0.93/1.16 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or @t119 (not @t118)))) % 0.93/1.16 (step @p109 :rule cnf_or_neg :args (@t119 0)) % 0.93/1.16 (step @p110 :rule eq_resolve :premises (@p109 @p108)) % 0.93/1.16 (step @p111 :rule reordering :premises (@p110) :args ((or @t112 @t119))) % 0.93/1.16 (step @p112 :rule chain_m_resolution :premises (@p111 @p105) :args (@t112 @t120 @t121)) % 0.93/1.16 (step @p113 :rule cnf_or_pos :args (@t124)) % 0.93/1.16 (step @p114 :rule reordering :premises (@p113) :args ((or @t118 @t122 @t123 (not @t124)))) % 0.93/1.16 (step @p115 :rule chain_m_resolution :premises (@p114 @p112 @p84 @p83) :args (@t122 @t125 (@list @t112 @t123 @t124))) % 0.93/1.16 (step @p116 :rule instantiate :premises (@p1) :args ((@list @t73 @t81))) % 0.93/1.16 (step @p117 :rule cnf_or_neg :args (@t119 1)) % 0.93/1.16 (step @p118 :rule chain_m_resolution :premises (@p117 @p105) :args ((not @t117) @t120 @t121)) % 0.93/1.16 (step @p119 :rule cnf_equiv_pos2 :args (@t130)) % 0.93/1.16 (step @p120 :rule reordering :premises (@p119) :args ((or @t117 @t131 (not @t130)))) % 0.93/1.16 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p116) :args (@t131 @t132 (@list @t117 @t130))) % 0.93/1.16 (step @p122 :rule cnf_or_neg :args (@t129 1)) % 0.93/1.16 (step @p123 :rule chain_m_resolution :premises (@p122 @p121) :args (@t133 @t120 @t134)) % 0.93/1.16 (step @p124 :rule cnf_or_neg :args (@t129 0)) % 0.93/1.16 (step @p125 :rule chain_m_resolution :premises (@p124 @p121) :args (@t135 @t120 @t134)) % 0.93/1.16 (step @p126 :rule instantiate :premises (@p1) :args ((@list @t74 @t81))) % 0.93/1.16 (step @p127 :rule cnf_or_neg :args (@t119 2)) % 0.93/1.16 (step @p128 :rule chain_m_resolution :premises (@p127 @p105) :args ((not @t116) @t120 @t121)) % 0.93/1.16 (step @p129 :rule cnf_equiv_pos2 :args (@t139)) % 0.93/1.16 (step @p130 :rule reordering :premises (@p129) :args ((or @t116 @t140 (not @t139)))) % 0.93/1.16 (step @p131 :rule chain_m_resolution :premises (@p130 @p128 @p126) :args (@t140 @t132 (@list @t116 @t139))) % 0.93/1.16 (step @p132 :rule cnf_or_neg :args (@t138 1)) % 0.93/1.16 (step @p133 :rule chain_m_resolution :premises (@p132 @p131) :args (@t141 @t120 @t142)) % 0.93/1.16 (step @p134 :rule cnf_or_neg :args (@t138 0)) % 0.93/1.16 (step @p135 :rule chain_m_resolution :premises (@p134 @p131) :args (@t143 @t120 @t142)) % 0.93/1.16 (step @p136 :rule bool-double-not-elim :args (@t101)) % 0.93/1.16 (step @p137 :rule bool-double-not-elim :args (@t127)) % 0.93/1.16 (step @p138 :rule bool-double-not-elim :args (@t128)) % 0.93/1.16 (step @p139 :rule bool-double-not-elim :args (@t136)) % 0.93/1.16 (step @p140 :rule bool-double-not-elim :args (@t137)) % 0.93/1.16 (step @p141 :rule refl :args (@t144)) % 0.93/1.16 (step @p142 :rule refl :args (@t145)) % 0.93/1.16 (step @p143 :rule nary_cong :premises (@p142 @p141 @p140 @p139 @p138 @p137 @p136) :args ((or @t145 @t144 @t149 @t148 @t147 @t146 (not @t102)))) % 0.93/1.16 (step @p144 :rule cnf_and_neg :args (@t145)) % 0.93/1.16 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 0.93/1.16 (step @p146 :rule reordering :premises (@p145) :args ((or @t128 @t127 @t137 @t136 @t101 @t145 @t144))) % 0.93/1.16 (step @p147 :rule bool-double-not-elim :args (@t106)) % 0.93/1.16 (step @p148 :rule refl :args (@t118)) % 0.93/1.16 (step @p149 :rule refl :args (@t150)) % 0.93/1.16 (step @p150 :rule nary_cong :premises (@p149 @p148 @p138 @p137 @p140 @p139 @p147) :args ((or @t150 @t118 @t147 @t146 @t149 @t148 (not @t107)))) % 0.93/1.16 (step @p151 :rule cnf_and_neg :args (@t150)) % 0.93/1.16 (step @p152 :rule eq_resolve :premises (@p151 @p150)) % 0.93/1.16 (step @p153 :rule reordering :premises (@p152) :args ((or @t118 @t128 @t127 @t137 @t136 @t106 @t150))) % 0.93/1.16 (step @p154 :rule aci_norm :args ((= (and @t22 (and @t154 @t153) (and @t152 @t151) @t20) (and @t22 @t154 @t153 @t152 @t151 @t20)))) % 0.93/1.16 (step @p155 :rule refl :args (@t20)) % 0.93/1.16 (step @p156 :rule bool-or-de-morgan :args (@t16 @t17 false)) % 0.93/1.16 (step @p157 :rule bool-or-de-morgan :args (@t5 @t4 false)) % 0.93/1.16 (step @p158 :rule refl :args (@t22)) % 0.93/1.16 (step @p159 :rule nary_cong :premises (@p158 @p157 @p156 @p155) :args (@t23)) % 0.93/1.16 (step @p160 :rule trans :premises (@p159 @p154)) % 0.93/1.16 (step @p161 :rule refl :args (@t24)) % 0.93/1.16 (step @p162 :rule cong :premises (@p161 @p160) :args (@t25)) % 0.93/1.16 (step @p163 :rule cong :premises (@p162) :args (@t26)) % 0.93/1.16 (step @p164 :rule eq_resolve :premises (@p4 @p163)) % 0.93/1.16 (step @p165 :rule instantiate :premises (@p164) :args ((@list @t81 @t74 @t73))) % 0.93/1.16 (step @p166 :rule cnf_equiv_pos2 :args (@t155)) % 0.93/1.16 (step @p167 :rule reordering :premises (@p166) :args ((or @t113 (not @t145) (not @t155)))) % 0.93/1.16 (step @p168 :rule instantiate :premises (@p164) :args ((@list @t81 @t73 @t74))) % 0.93/1.16 (step @p169 :rule cnf_equiv_pos2 :args (@t156)) % 0.93/1.16 (step @p170 :rule reordering :premises (@p169) :args ((or @t114 (not @t150) (not @t156)))) % 0.93/1.16 (step @p171 :rule cnf_or_neg :args (@t119 3)) % 0.93/1.16 (step @p172 :rule chain_m_resolution :premises (@p171 @p105) :args ((not @t115) @t120 @t121)) % 0.93/1.16 (step @p173 :rule cnf_and_neg :args (@t115)) % 0.93/1.16 (step @p174 :rule chain_m_resolution :premises (@p173 @p172 @p170 @p168 @p167 @p165 @p153 @p135 @p133 @p125 @p123 @p112 @p146 @p135 @p133 @p125 @p123 @p115 @p77 @p75 @p74 @p72) :args ((or @t84 @t105 @t79) (@list true false false false false false true true true true false false true true true true false true false true false) (@list @t115 @t114 @t156 @t113 @t155 @t150 @t137 @t136 @t128 @t127 @t112 @t145 @t137 @t136 @t128 @t127 @t122 @t106 @t108 @t101 @t103))) % 0.93/1.16 (step @p175 :rule instantiate :premises (@p25) :args ((@list @t73 @t74))) % 0.93/1.16 (step @p176 :rule instantiate :premises (@p38) :args ((@list @t104 @t76 @t157))) % 0.93/1.16 (step @p177 :rule cnf_or_pos :args (@t161)) % 0.93/1.16 (step @p178 :rule reordering :premises (@p177) :args ((or @t159 @t160 @t158 (not @t161)))) % 0.93/1.16 (step @p179 :rule cnf_and_pos :args (@t163 1)) % 0.93/1.16 (step @p180 :rule reordering :premises (@p179) :args ((or @t82 @t164))) % 0.93/1.16 (step @p181 :rule chain_m_resolution :premises (@p180 @p43) :args (@t164 @t120 (@list @t82))) % 0.93/1.16 (step @p182 :rule aci_norm :args ((= (or @t95 @t45) (or @t69 @t94 @t44 @t43)))) % 0.93/1.16 (step @p183 :rule refl :args (@t45)) % 0.93/1.16 (step @p184 :rule nary_cong :premises (@p61 @p183) :args ((or @t96 @t45))) % 0.93/1.16 (step @p185 :rule trans :premises (@p184 @p182)) % 0.93/1.16 (step @p186 :rule bool-impl-elim :args (@t13 @t45)) % 0.93/1.16 (step @p187 :rule trans :premises (@p186 @p185)) % 0.93/1.16 (step @p188 :rule cong :premises (@p187) :args (@t46)) % 0.93/1.16 (step @p189 :rule eq_resolve :premises (@p12 @p188)) % 0.93/1.16 (step @p190 :rule instantiate :premises (@p189) :args ((@list @t76 @t75 @t76))) % 0.93/1.16 (step @p191 :rule cnf_or_pos :args (@t168)) % 0.93/1.16 (step @p192 :rule reordering :premises (@p191) :args ((or @t163 @t167 @t80 @t165 (not @t168)))) % 0.93/1.16 (step @p193 :rule instantiate :premises (@p38) :args ((@list @t76 @t157 @t77))) % 0.93/1.16 (step @p194 :rule cnf_or_pos :args (@t170)) % 0.93/1.16 (step @p195 :rule reordering :premises (@p194) :args ((or @t82 @t165 @t169 (not @t170)))) % 0.93/1.16 (step @p196 :rule instantiate :premises (@p10) :args ((@list @t76))) % 0.93/1.16 (step @p197 :rule instantiate :premises (@p38) :args ((@list @t76 @t157 @t76))) % 0.93/1.16 (step @p198 :rule cnf_or_pos :args (@t172)) % 0.93/1.16 (step @p199 :rule reordering :premises (@p198) :args ((or @t162 @t171 @t165 (not @t172)))) % 0.93/1.16 (step @p200 :rule cnf_and_pos :args (@t173 0)) % 0.93/1.16 (step @p201 :rule reordering :premises (@p200) :args ((or @t166 (not @t173)))) % 0.93/1.16 (step @p202 :rule instantiate :premises (@p10) :args ((@list @t157))) % 0.93/1.16 (step @p203 :rule cnf_and_pos :args (@t175 1)) % 0.93/1.16 (step @p204 :rule reordering :premises (@p203) :args ((or @t174 @t176))) % 0.93/1.16 (step @p205 :rule chain_m_resolution :premises (@p204 @p202) :args (@t176 @t120 (@list @t174))) % 0.93/1.16 (step @p206 :rule instantiate :premises (@p189) :args ((@list @t157 @t76 @t75))) % 0.93/1.16 (step @p207 :rule cnf_or_pos :args (@t179)) % 0.93/1.16 (step @p208 :rule reordering :premises (@p207) :args ((or @t178 @t175 @t173 @t177 (not @t179)))) % 0.93/1.16 (step @p209 :rule chain_m_resolution :premises (@p208 @p206 @p205 @p201 @p199 @p197 @p196 @p195 @p193 @p43 @p192 @p190 @p181 @p178 @p176 @p175 @p174 @p71 @p42) :args (@t79 (@list false true true false false true false false true true false true false false true false true true) (@list @t179 @t175 @t173 @t171 @t172 @t162 @t169 @t170 @t82 @t166 @t168 @t163 @t158 @t161 @t159 @t105 @t84 @t80))) % 0.93/1.16 (step @p210 :rule instantiate :premises (@p56) :args ((@list @t75 @t77))) % 0.93/1.16 (step @p211 :rule aci_norm :args ((= (or @t90 @t60) (or @t90 @t38 @t59)))) % 0.93/1.16 (step @p212 :rule bool-impl-elim :args (@t50 @t60)) % 0.93/1.16 (step @p213 :rule trans :premises (@p212 @p211)) % 0.93/1.16 (step @p214 :rule cong :premises (@p213) :args (@t61)) % 0.93/1.16 (step @p215 :rule eq_resolve :premises (@p31 @p214)) % 0.93/1.16 (step @p216 :rule instantiate :premises (@p215) :args ((@list @t75 @t76 @t77))) % 0.93/1.16 (step @p217 :rule cnf_or_pos :args (@t183)) % 0.93/1.16 (step @p218 :rule reordering :premises (@p217) :args ((or @t82 @t180 @t182 (not @t183)))) % 0.93/1.16 (step @p219 :rule instantiate :premises (@p67) :args ((@list @t75 @t76))) % 0.93/1.16 (step @p220 :rule cnf_or_pos :args (@t186)) % 0.93/1.16 (step @p221 :rule reordering :premises (@p220) :args ((or @t180 @t185 @t184 @t181 (not @t186)))) % 0.93/1.16 (step @p222 :rule chain_m_resolution :premises (@p221 @p219 @p218 @p216 @p43) :args ((or @t180 @t185 @t184) (@list false true false true) (@list @t186 @t181 @t183 @t82))) % 0.93/1.16 (step @p223 :rule chain_m_resolution :premises (@p222 @p210 @p209) :args (@t184 @t132 (@list @t180 @t79))) % 0.93/1.16 (step @p224 :rule cnf_or_pos :args (@t187)) % 0.93/1.16 (step @p225 :rule reordering :premises (@p224) :args ((or @t82 @t167 @t78 (not @t187)))) % 0.93/1.16 (step @p226 :rule chain_m_resolution :premises (@p225 @p43 @p223 @p40) :args (@t167 (@list true true false) (@list @t82 @t78 @t187))) % 0.93/1.16 (step @p227 :rule cnf_or_pos :args (@t189)) % 0.93/1.16 (step @p228 :rule reordering :premises (@p227) :args ((or @t188 @t185 @t166 (not @t189)))) % 0.93/1.16 (step @p229 :rule chain_m_resolution :premises (@p228 @p209 @p226 @p39) :args (@t188 @t125 (@list @t79 @t166 @t189))) % 0.93/1.16 (assume-push @p236 @t37) % 0.93/1.16 (step @p231 :rule instantiate :premises (@p10) :args ((@list @t75))) % 0.93/1.16 (step-pop @p237 :rule scope :premises (@p231)) % 0.93/1.16 (step @p232 :rule process_scope :premises (@p237) :args ((not @t188))) % 0.93/1.16 (step @p234 :rule implies_elim :premises (@p232)) % 0.93/1.16 (step @p235 false :rule chain_m_resolution :premises (@p234 @p229 @p10) :args (false (@list false false) (@list @t188 @t37))) % 0.93/1.16 ) % 0.93/1.16 % SZS output end Proof % 0.93/1.16 % cvc5 exiting %------------------------------------------------------------------------------