%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO255+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 : n008.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 0.53s 0.72s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO255+1 : TPTP v9.2.1. Bugfixed v6.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n008.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 23:41:33 EDT 2026 % 0.17/0.34 % CPUTime : % 0.34/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.53/0.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.72 % SZS status Theorem % 0.53/0.72 % SZS output start Proof % 0.53/0.72 ( % 0.53/0.72 (declare-sort $$unsorted 0) % 0.53/0.72 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.72 (declare-const tptp.left_apart_point (-> $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.point (-> $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.unequally_directed_lines (-> $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.between_on_line (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.line (-> $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.72 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.72 (declare-const tptp.reverse_line (-> $$unsorted $$unsorted)) % 0.53/0.72 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.before_on_line (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.divides_points (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.left_convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.53/0.72 (define @t1 () (@var "L" $$unsorted)) % 0.53/0.72 (define @t2 () (tptp.reverse_line @t1)) % 0.53/0.72 (define @t3 () (@var "A" $$unsorted)) % 0.53/0.72 (define @t4 () (tptp.left_apart_point @t3 @t2)) % 0.53/0.72 (define @t5 () (tptp.left_apart_point @t3 @t1)) % 0.53/0.72 (define @t6 () (or @t5 @t4)) % 0.53/0.72 (define @t7 () (@list @t3 @t1)) % 0.53/0.72 (define @t8 () (@var "M" $$unsorted)) % 0.53/0.72 (define @t9 () (tptp.reverse_line @t8)) % 0.53/0.72 (define @t10 () (tptp.unequally_directed_lines @t1 @t9)) % 0.53/0.72 (define @t11 () (tptp.unequally_directed_lines @t1 @t8)) % 0.53/0.72 (define @t12 () (and @t11 @t10)) % 0.53/0.72 (define @t13 () (@list @t1 @t8)) % 0.53/0.72 (define @t14 () (@var "B" $$unsorted)) % 0.53/0.72 (define @t15 () (tptp.left_apart_point @t14 @t1)) % 0.53/0.72 (define @t16 () (tptp.left_apart_point @t14 @t2)) % 0.53/0.72 (define @t17 () (@list @t3 @t14 @t1)) % 0.53/0.72 (define @t18 () (tptp.line_connecting @t3 @t14)) % 0.53/0.72 (define @t19 () (not (tptp.unequally_directed_lines @t1 @t18))) % 0.53/0.72 (define @t20 () (not @t6)) % 0.53/0.72 (define @t21 () (tptp.distinct_points @t3 @t14)) % 0.53/0.72 (define @t22 () (and @t21 @t20 (not (or @t15 @t16)) @t19)) % 0.53/0.72 (define @t23 () (tptp.before_on_line @t1 @t3 @t14)) % 0.53/0.72 (define @t24 () (= @t23 @t22)) % 0.53/0.72 (define @t25 () (@list @t1 @t3 @t14)) % 0.53/0.72 (define @t26 () (forall @t25 @t24)) % 0.53/0.72 (define @t27 () (tptp.before_on_line @t1 @t14 @t3)) % 0.53/0.72 (define @t28 () (@var "C" $$unsorted)) % 0.53/0.72 (define @t29 () (@list @t1)) % 0.53/0.72 (define @t30 () (@var "N" $$unsorted)) % 0.53/0.72 (define @t31 () (tptp.distinct_lines @t1 @t8)) % 0.53/0.72 (define @t32 () (@list @t1 @t8 @t30)) % 0.53/0.72 (define @t33 () (tptp.unequally_directed_lines @t8 @t30)) % 0.53/0.72 (define @t34 () (tptp.unequally_directed_lines @t1 @t30)) % 0.53/0.72 (define @t35 () (or @t34 @t33)) % 0.53/0.72 (define @t36 () (forall @t32 (=> @t11 @t35))) % 0.53/0.72 (define @t37 () (tptp.reverse_line @t30)) % 0.53/0.72 (define @t38 () (and @t33 (tptp.unequally_directed_lines @t8 @t37))) % 0.53/0.72 (define @t39 () (and @t34 (tptp.unequally_directed_lines @t1 @t37))) % 0.53/0.72 (define @t40 () (or @t39 @t38)) % 0.53/0.72 (define @t41 () (forall @t32 (=> @t12 @t40))) % 0.53/0.72 (define @t42 () (or @t11 @t10)) % 0.53/0.72 (define @t43 () (tptp.line @t8)) % 0.53/0.72 (define @t44 () (tptp.line @t1)) % 0.53/0.72 (define @t45 () (and @t44 @t43)) % 0.53/0.72 (define @t46 () (forall @t13 (=> @t45 @t42))) % 0.53/0.72 (define @t47 () (tptp.left_convergent_lines @t1 @t8)) % 0.53/0.72 (define @t48 () (or @t47 (tptp.left_convergent_lines @t1 @t9))) % 0.53/0.72 (define @t49 () (tptp.point @t3)) % 0.53/0.72 (define @t50 () (@list @t3 @t14)) % 0.53/0.72 (define @t51 () (tptp.intersection_point @t1 @t8)) % 0.53/0.72 (define @t52 () (tptp.parallel_through_point @t1 @t3)) % 0.53/0.72 (define @t53 () (tptp.left_apart_point @t3 @t9)) % 0.53/0.72 (define @t54 () (not (and @t23 @t27))) % 0.53/0.72 (define @t55 () (and @t44 @t21)) % 0.53/0.72 (define @t56 () (forall @t25 (=> @t55 @t54))) % 0.53/0.72 (define @t57 () (not @t56)) % 0.53/0.72 (define @t58 () (not @t10)) % 0.53/0.72 (define @t59 () (not @t11)) % 0.53/0.72 (define @t60 () (or @t59 @t58 @t39 @t38)) % 0.53/0.72 (define @t61 () (not @t27)) % 0.53/0.72 (define @t62 () (not @t23)) % 0.53/0.72 (define @t63 () (not @t21)) % 0.53/0.72 (define @t64 () (not @t44)) % 0.53/0.72 (define @t65 () (or @t64 @t63 @t62 @t61)) % 0.53/0.72 (define @t66 () (forall @t25 @t65)) % 0.53/0.72 (define @t67 () (@quantifiers_skolemize @t66 2)) % 0.53/0.72 (define @t68 () (@quantifiers_skolemize @t66 1)) % 0.53/0.72 (define @t69 () (tptp.line_connecting @t68 @t67)) % 0.53/0.72 (define @t70 () (tptp.reverse_line @t69)) % 0.53/0.72 (define @t71 () (@quantifiers_skolemize @t66 0)) % 0.53/0.72 (define @t72 () (tptp.reverse_line @t71)) % 0.53/0.72 (define @t73 () (tptp.line_connecting @t67 @t68)) % 0.53/0.72 (define @t74 () (not @t43)) % 0.53/0.72 (define @t75 () (tptp.line @t71)) % 0.53/0.72 (define @t76 () (tptp.before_on_line @t71 @t67 @t68)) % 0.53/0.72 (define @t77 () (not @t76)) % 0.53/0.72 (define @t78 () (tptp.before_on_line @t71 @t68 @t67)) % 0.53/0.72 (define @t79 () (not @t78)) % 0.53/0.72 (define @t80 () (tptp.distinct_points @t68 @t67)) % 0.53/0.72 (define @t81 () (not @t75)) % 0.53/0.72 (define @t82 () (or @t81 (not @t80) @t79 @t77)) % 0.53/0.72 (define @t83 () (@list true)) % 0.53/0.72 (define @t84 () (@list @t82)) % 0.53/0.72 (define @t85 () (tptp.unequally_directed_lines @t71 @t72)) % 0.53/0.72 (define @t86 () (tptp.unequally_directed_lines @t71 @t71)) % 0.53/0.72 (define @t87 () (or @t81 @t81 @t86 @t85)) % 0.53/0.72 (define @t88 () (not @t16)) % 0.53/0.72 (define @t89 () (not @t15)) % 0.53/0.72 (define @t90 () (not @t4)) % 0.53/0.72 (define @t91 () (not @t5)) % 0.53/0.72 (define @t92 () (tptp.unequally_directed_lines @t71 @t73)) % 0.53/0.72 (define @t93 () (not @t92)) % 0.53/0.72 (define @t94 () (not (tptp.left_apart_point @t68 @t72))) % 0.53/0.72 (define @t95 () (not (tptp.left_apart_point @t68 @t71))) % 0.53/0.72 (define @t96 () (not (tptp.left_apart_point @t67 @t72))) % 0.53/0.72 (define @t97 () (not (tptp.left_apart_point @t67 @t71))) % 0.53/0.72 (define @t98 () (and (tptp.distinct_points @t67 @t68) @t97 @t96 @t95 @t94 @t93)) % 0.53/0.72 (define @t99 () (= @t76 @t98)) % 0.53/0.72 (define @t100 () (@list false false)) % 0.53/0.72 (define @t101 () (@list false)) % 0.53/0.72 (define @t102 () (tptp.unequally_directed_lines @t72 @t73)) % 0.53/0.72 (define @t103 () (not @t85)) % 0.53/0.72 (define @t104 () (or @t103 @t92 @t102)) % 0.53/0.72 (define @t105 () (@list true false false)) % 0.53/0.72 (define @t106 () (tptp.unequally_directed_lines @t73 @t72)) % 0.53/0.72 (define @t107 () (tptp.unequally_directed_lines @t72 @t72)) % 0.53/0.72 (define @t108 () (not @t102)) % 0.53/0.72 (define @t109 () (or @t108 @t107 @t106)) % 0.53/0.72 (define @t110 () (tptp.unequally_directed_lines @t72 @t70)) % 0.53/0.72 (define @t111 () (tptp.unequally_directed_lines @t73 @t70)) % 0.53/0.72 (define @t112 () (not @t106)) % 0.53/0.72 (define @t113 () (or @t112 @t111 @t110)) % 0.53/0.72 (define @t114 () (tptp.reverse_line @t73)) % 0.53/0.72 (define @t115 () (and @t92 (tptp.unequally_directed_lines @t71 @t114))) % 0.53/0.72 (define @t116 () (not @t115)) % 0.53/0.72 (define @t117 () (tptp.unequally_directed_lines @t71 @t69)) % 0.53/0.72 (define @t118 () (not @t117)) % 0.53/0.72 (define @t119 () (and @t80 @t95 @t94 @t97 @t96 @t118)) % 0.53/0.72 (define @t120 () (= @t78 @t119)) % 0.53/0.72 (define @t121 () (tptp.unequally_directed_lines @t72 @t69)) % 0.53/0.72 (define @t122 () (or @t103 @t117 @t121)) % 0.53/0.72 (define @t123 () (tptp.unequally_directed_lines @t69 @t72)) % 0.53/0.72 (define @t124 () (not @t121)) % 0.53/0.72 (define @t125 () (or @t124 @t107 @t123)) % 0.53/0.72 (define @t126 () (tptp.unequally_directed_lines @t69 @t114)) % 0.53/0.72 (define @t127 () (and (tptp.unequally_directed_lines @t69 @t73) @t126)) % 0.53/0.72 (define @t128 () (not @t127)) % 0.53/0.72 (define @t129 () (not @t123)) % 0.53/0.72 (define @t130 () (tptp.unequally_directed_lines @t69 @t71)) % 0.53/0.72 (define @t131 () (not @t130)) % 0.53/0.72 (define @t132 () (or @t131 @t129 @t127 @t115)) % 0.53/0.72 (define @t133 () (@list true false true false)) % 0.53/0.72 (define @t134 () (and @t130 @t123)) % 0.53/0.72 (define @t135 () (not @t134)) % 0.53/0.72 (define @t136 () (and (tptp.unequally_directed_lines @t72 @t71) @t107)) % 0.53/0.72 (define @t137 () (not @t136)) % 0.53/0.72 (define @t138 () (not @t110)) % 0.53/0.72 (define @t139 () (or @t124 @t138 @t136 @t134)) % 0.53/0.72 (define @t140 () (not @t139)) % 0.53/0.72 (define @t141 () (forall @t32 @t60)) % 0.53/0.72 (assume @p1 (forall @t7 (= (tptp.apart_point_and_line @t3 @t1) @t6))) % 0.53/0.72 (assume @p2 (forall @t13 (= (tptp.convergent_lines @t1 @t8) @t12))) % 0.53/0.72 (assume @p3 (forall @t17 (= (tptp.divides_points @t1 @t3 @t14) (or (and @t5 @t16) (and @t4 @t15))))) % 0.53/0.72 (assume @p4 @t26) % 0.53/0.72 (assume @p5 (forall (@list @t1 @t3 @t14 @t28) (= (tptp.between_on_line @t1 @t3 @t14 @t28) (or (and @t23 (tptp.before_on_line @t1 @t14 @t28)) (and (tptp.before_on_line @t1 @t28 @t14) @t27))))) % 0.53/0.72 (assume @p6 (forall (@list @t3) (not (tptp.distinct_points @t3 @t3)))) % 0.53/0.72 (assume @p7 (forall (@list @t3 @t14 @t28) (=> @t21 (or (tptp.distinct_points @t3 @t28) (tptp.distinct_points @t14 @t28))))) % 0.53/0.72 (assume @p8 (forall @t29 (not (tptp.distinct_lines @t1 @t1)))) % 0.53/0.72 (assume @p9 (forall @t32 (=> @t31 (or (tptp.distinct_lines @t1 @t30) (tptp.distinct_lines @t8 @t30))))) % 0.53/0.72 (assume @p10 (forall @t29 (not (tptp.unequally_directed_lines @t1 @t1)))) % 0.53/0.72 (assume @p11 @t36) % 0.53/0.72 (assume @p12 @t41) % 0.53/0.72 (assume @p13 @t46) % 0.53/0.72 (assume @p14 (forall @t13 (=> @t12 @t48))) % 0.53/0.72 (assume @p15 (forall @t7 @t20)) % 0.53/0.72 (assume @p16 (forall @t13 (not @t48))) % 0.53/0.72 (assume @p17 (forall @t50 (=> (and @t49 (tptp.point @t14) @t21) (tptp.line @t18)))) % 0.53/0.72 (assume @p18 (forall @t13 (=> (and @t44 @t43 @t11 @t10) (tptp.point @t51)))) % 0.53/0.72 (assume @p19 (forall (@list @t1 @t3) (=> (and @t49 @t44) (tptp.line @t52)))) % 0.53/0.72 (assume @p20 (forall @t29 (=> @t44 (tptp.line @t2)))) % 0.53/0.72 (assume @p21 (forall @t50 (=> @t21 (and (not (tptp.apart_point_and_line @t3 @t18)) (not (tptp.apart_point_and_line @t14 @t18)))))) % 0.53/0.72 (assume @p22 (forall @t13 (=> @t12 (and (not (tptp.apart_point_and_line @t51 @t1)) (not (tptp.apart_point_and_line @t51 @t8)))))) % 0.53/0.72 (assume @p23 (forall @t7 (not (tptp.apart_point_and_line @t3 @t52)))) % 0.53/0.72 (assume @p24 (forall @t29 (not (tptp.distinct_lines @t1 @t2)))) % 0.53/0.72 (assume @p25 (forall @t50 (not (tptp.unequally_directed_lines @t18 (tptp.reverse_line (tptp.line_connecting @t14 @t3)))))) % 0.53/0.72 (assume @p26 (forall @t7 (not (tptp.unequally_directed_lines @t52 @t1)))) % 0.53/0.72 (assume @p27 (forall (@list @t3 @t14 @t1 @t8) (=> (and @t21 @t31) (or @t5 @t15 (tptp.left_apart_point @t3 @t8) (tptp.left_apart_point @t14 @t8) @t4 @t16 @t53 (tptp.left_apart_point @t14 @t9))))) % 0.53/0.72 (assume @p28 (forall @t17 (=> (and @t21 @t5) (or @t15 (tptp.left_convergent_lines @t18 @t1))))) % 0.53/0.72 (assume @p29 (forall @t17 (=> @t5 (or @t21 @t15)))) % 0.53/0.72 (assume @p30 (forall (@list @t3 @t1 @t8) (=> (and @t5 @t11) (or @t31 @t53)))) % 0.53/0.72 (assume @p31 (forall @t32 (=> @t47 (or @t33 (tptp.left_convergent_lines @t1 @t30))))) % 0.53/0.72 (assume @p32 @t57) % 0.53/0.72 (assume @p33 true) % 0.53/0.72 (step @p34 :rule aci_norm :args ((= (or (or @t59 @t58) @t40) @t60))) % 0.53/0.72 (step @p35 :rule refl :args (@t40)) % 0.53/0.72 (step @p36 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 0.53/0.72 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or (not @t12) @t40))) % 0.53/0.72 (step @p38 :rule trans :premises (@p37 @p34)) % 0.53/0.72 (step @p39 :rule bool-impl-elim :args (@t12 @t40)) % 0.53/0.72 (step @p40 :rule trans :premises (@p39 @p38)) % 0.53/0.72 (step @p41 :rule cong :premises (@p40) :args (@t41)) % 0.53/0.72 (step @p42 :rule eq_resolve :premises (@p12 @p41)) % 0.53/0.72 (step @p43 :rule aci_norm :args ((= (or @t59 @t35) (or @t59 @t34 @t33)))) % 0.53/0.72 (step @p44 :rule bool-impl-elim :args (@t11 @t35)) % 0.53/0.72 (step @p45 :rule trans :premises (@p44 @p43)) % 0.53/0.72 (step @p46 :rule cong :premises (@p45) :args (@t36)) % 0.53/0.72 (step @p47 :rule eq_resolve :premises (@p11 @p46)) % 0.53/0.72 (step @p48 :rule instantiate :premises (@p47) :args ((@list @t73 @t72 @t70))) % 0.53/0.72 (step @p49 :rule instantiate :premises (@p47) :args ((@list @t72 @t73 @t72))) % 0.53/0.72 (step @p50 :rule instantiate :premises (@p47) :args ((@list @t71 @t72 @t73))) % 0.53/0.72 (step @p51 :rule aci_norm :args ((= (or (or @t64 @t74) @t42) (or @t64 @t74 @t11 @t10)))) % 0.53/0.72 (step @p52 :rule refl :args (@t42)) % 0.53/0.72 (step @p53 :rule bool-and-de-morgan :args (@t44 @t43 true)) % 0.53/0.72 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or (not @t45) @t42))) % 0.53/0.72 (step @p55 :rule trans :premises (@p54 @p51)) % 0.53/0.72 (step @p56 :rule bool-impl-elim :args (@t45 @t42)) % 0.53/0.72 (step @p57 :rule trans :premises (@p56 @p55)) % 0.53/0.72 (step @p58 :rule cong :premises (@p57) :args (@t46)) % 0.53/0.72 (step @p59 :rule eq_resolve :premises (@p13 @p58)) % 0.53/0.72 (step @p60 :rule instantiate :premises (@p59) :args ((@list @t71 @t71))) % 0.53/0.72 (step @p61 :rule instantiate :premises (@p10) :args ((@list @t71))) % 0.53/0.72 (step @p62 :rule aci_norm :args ((= (or (or @t64 @t63) (or @t62 @t61)) @t65))) % 0.53/0.72 (step @p63 :rule bool-and-de-morgan :args (@t23 @t27 true)) % 0.53/0.72 (step @p64 :rule bool-and-de-morgan :args (@t44 @t21 true)) % 0.53/0.72 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or (not @t55) @t54))) % 0.53/0.72 (step @p66 :rule trans :premises (@p65 @p62)) % 0.53/0.72 (step @p67 :rule bool-impl-elim :args (@t55 @t54)) % 0.53/0.72 (step @p68 :rule trans :premises (@p67 @p66)) % 0.53/0.72 (step @p69 :rule cong :premises (@p68) :args (@t56)) % 0.53/0.72 (step @p70 :rule cong :premises (@p69) :args (@t57)) % 0.53/0.72 (step @p71 :rule eq_resolve :premises (@p32 @p70)) % 0.53/0.72 (step @p72 :rule skolemize :premises (@p71)) % 0.53/0.72 (step @p73 :rule bool-double-not-elim :args (@t75)) % 0.53/0.72 (step @p74 :rule refl :args (@t82)) % 0.53/0.72 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t82 (not @t81)))) % 0.53/0.72 (step @p76 :rule cnf_or_neg :args (@t82 0)) % 0.53/0.72 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.53/0.72 (step @p78 :rule reordering :premises (@p77) :args ((or @t75 @t82))) % 0.53/0.72 (step @p79 :rule chain_m_resolution :premises (@p78 @p72) :args (@t75 @t83 @t84)) % 0.53/0.72 (step @p80 :rule cnf_or_pos :args (@t87)) % 0.53/0.72 (step @p81 :rule factoring :premises (@p80)) % 0.53/0.72 (step @p82 :rule reordering :premises (@p81) :args ((or @t81 @t86 @t85 (not @t87)))) % 0.53/0.72 (step @p83 :rule chain_m_resolution :premises (@p82 @p79 @p61 @p60) :args (@t85 (@list false true false) (@list @t75 @t86 @t87))) % 0.53/0.72 (step @p84 :rule aci_norm :args ((= (and @t21 (and @t91 @t90) (and @t89 @t88) @t19) (and @t21 @t91 @t90 @t89 @t88 @t19)))) % 0.53/0.72 (step @p85 :rule refl :args (@t19)) % 0.53/0.72 (step @p86 :rule bool-or-de-morgan :args (@t15 @t16 false)) % 0.53/0.72 (step @p87 :rule bool-or-de-morgan :args (@t5 @t4 false)) % 0.53/0.72 (step @p88 :rule refl :args (@t21)) % 0.53/0.72 (step @p89 :rule nary_cong :premises (@p88 @p87 @p86 @p85) :args (@t22)) % 0.53/0.72 (step @p90 :rule trans :premises (@p89 @p84)) % 0.53/0.72 (step @p91 :rule refl :args (@t23)) % 0.53/0.72 (step @p92 :rule cong :premises (@p91 @p90) :args (@t24)) % 0.53/0.72 (step @p93 :rule cong :premises (@p92) :args (@t26)) % 0.53/0.72 (step @p94 :rule eq_resolve :premises (@p4 @p93)) % 0.53/0.72 (step @p95 :rule instantiate :premises (@p94) :args ((@list @t71 @t67 @t68))) % 0.53/0.72 (step @p96 :rule bool-double-not-elim :args (@t76)) % 0.53/0.72 (step @p97 :rule nary_cong :premises (@p74 @p96) :args ((or @t82 (not @t77)))) % 0.53/0.72 (step @p98 :rule cnf_or_neg :args (@t82 3)) % 0.53/0.72 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 0.53/0.72 (step @p100 :rule reordering :premises (@p99) :args ((or @t76 @t82))) % 0.53/0.72 (step @p101 :rule chain_m_resolution :premises (@p100 @p72) :args (@t76 @t83 @t84)) % 0.53/0.72 (step @p102 :rule cnf_equiv_pos1 :args (@t99)) % 0.53/0.72 (step @p103 :rule reordering :premises (@p102) :args ((or @t77 @t98 (not @t99)))) % 0.53/0.72 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p95) :args (@t98 @t100 (@list @t76 @t99))) % 0.53/0.72 (step @p105 :rule cnf_and_pos :args (@t98 5)) % 0.53/0.72 (step @p106 :rule reordering :premises (@p105) :args ((or @t93 (not @t98)))) % 0.53/0.72 (step @p107 :rule chain_m_resolution :premises (@p106 @p104) :args (@t93 @t101 (@list @t98))) % 0.53/0.72 (step @p108 :rule cnf_or_pos :args (@t104)) % 0.53/0.72 (step @p109 :rule reordering :premises (@p108) :args ((or @t92 @t103 @t102 (not @t104)))) % 0.53/0.72 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p83 @p50) :args (@t102 @t105 (@list @t92 @t85 @t104))) % 0.53/0.72 (step @p111 :rule instantiate :premises (@p10) :args ((@list @t72))) % 0.53/0.72 (step @p112 :rule cnf_or_pos :args (@t109)) % 0.53/0.72 (step @p113 :rule reordering :premises (@p112) :args ((or @t107 @t108 @t106 (not @t109)))) % 0.53/0.72 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p110 @p49) :args (@t106 @t105 (@list @t107 @t102 @t109))) % 0.53/0.72 (step @p115 :rule instantiate :premises (@p25) :args ((@list @t67 @t68))) % 0.53/0.72 (step @p116 :rule cnf_or_pos :args (@t113)) % 0.53/0.72 (step @p117 :rule reordering :premises (@p116) :args ((or @t111 @t112 @t110 (not @t113)))) % 0.53/0.72 (step @p118 :rule chain_m_resolution :premises (@p117 @p115 @p114 @p48) :args (@t110 @t105 (@list @t111 @t106 @t113))) % 0.53/0.72 (step @p119 :rule instantiate :premises (@p42) :args ((@list @t69 @t71 @t73))) % 0.53/0.72 (step @p120 :rule cnf_and_pos :args (@t115 0)) % 0.53/0.72 (step @p121 :rule reordering :premises (@p120) :args ((or @t92 @t116))) % 0.53/0.72 (step @p122 :rule chain_m_resolution :premises (@p121 @p107) :args (@t116 @t83 (@list @t92))) % 0.53/0.72 (step @p123 :rule instantiate :premises (@p47) :args ((@list @t72 @t69 @t72))) % 0.53/0.72 (step @p124 :rule instantiate :premises (@p47) :args ((@list @t71 @t72 @t69))) % 0.53/0.72 (step @p125 :rule instantiate :premises (@p94) :args ((@list @t71 @t68 @t67))) % 0.53/0.72 (step @p126 :rule bool-double-not-elim :args (@t78)) % 0.53/0.72 (step @p127 :rule nary_cong :premises (@p74 @p126) :args ((or @t82 (not @t79)))) % 0.53/0.72 (step @p128 :rule cnf_or_neg :args (@t82 2)) % 0.53/0.72 (step @p129 :rule eq_resolve :premises (@p128 @p127)) % 0.53/0.72 (step @p130 :rule reordering :premises (@p129) :args ((or @t78 @t82))) % 0.53/0.72 (step @p131 :rule chain_m_resolution :premises (@p130 @p72) :args (@t78 @t83 @t84)) % 0.53/0.72 (step @p132 :rule cnf_equiv_pos1 :args (@t120)) % 0.53/0.72 (step @p133 :rule reordering :premises (@p132) :args ((or @t79 @t119 (not @t120)))) % 0.53/0.72 (step @p134 :rule chain_m_resolution :premises (@p133 @p131 @p125) :args (@t119 @t100 (@list @t78 @t120))) % 0.53/0.72 (step @p135 :rule cnf_and_pos :args (@t119 5)) % 0.53/0.72 (step @p136 :rule reordering :premises (@p135) :args ((or @t118 (not @t119)))) % 0.53/0.72 (step @p137 :rule chain_m_resolution :premises (@p136 @p134) :args (@t118 @t101 (@list @t119))) % 0.53/0.72 (step @p138 :rule cnf_or_pos :args (@t122)) % 0.53/0.72 (step @p139 :rule reordering :premises (@p138) :args ((or @t117 @t103 @t121 (not @t122)))) % 0.53/0.72 (step @p140 :rule chain_m_resolution :premises (@p139 @p137 @p83 @p124) :args (@t121 @t105 (@list @t117 @t85 @t122))) % 0.53/0.72 (step @p141 :rule cnf_or_pos :args (@t125)) % 0.53/0.72 (step @p142 :rule reordering :premises (@p141) :args ((or @t107 @t124 @t123 (not @t125)))) % 0.53/0.72 (step @p143 :rule chain_m_resolution :premises (@p142 @p111 @p140 @p123) :args (@t123 @t105 (@list @t107 @t121 @t125))) % 0.53/0.72 (step @p144 :rule instantiate :premises (@p25) :args ((@list @t68 @t67))) % 0.53/0.72 (step @p145 :rule cnf_and_pos :args (@t127 1)) % 0.53/0.72 (step @p146 :rule reordering :premises (@p145) :args ((or @t126 @t128))) % 0.53/0.72 (step @p147 :rule chain_m_resolution :premises (@p146 @p144) :args (@t128 @t83 (@list @t126))) % 0.53/0.72 (step @p148 :rule cnf_or_pos :args (@t132)) % 0.53/0.72 (step @p149 :rule reordering :premises (@p148) :args ((or @t127 @t129 @t131 @t115 (not @t132)))) % 0.53/0.72 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p143 @p122 @p119) :args (@t131 @t133 (@list @t127 @t123 @t115 @t132))) % 0.53/0.72 (step @p151 :rule cnf_and_pos :args (@t134 0)) % 0.53/0.72 (step @p152 :rule reordering :premises (@p151) :args ((or @t130 @t135))) % 0.53/0.72 (step @p153 :rule chain_m_resolution :premises (@p152 @p150) :args (@t135 @t83 (@list @t130))) % 0.53/0.72 (step @p154 :rule cnf_and_pos :args (@t136 1)) % 0.53/0.72 (step @p155 :rule reordering :premises (@p154) :args ((or @t107 @t137))) % 0.53/0.72 (step @p156 :rule chain_m_resolution :premises (@p155 @p111) :args (@t137 @t83 (@list @t107))) % 0.53/0.72 (step @p157 :rule cnf_or_pos :args (@t139)) % 0.53/0.72 (step @p158 :rule reordering :premises (@p157) :args ((or @t136 @t124 @t134 @t138 @t140))) % 0.53/0.72 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p140 @p153 @p118) :args (@t140 @t133 (@list @t136 @t121 @t134 @t110))) % 0.53/0.72 (assume-push @p166 @t141) % 0.53/0.72 (step @p161 :rule instantiate :premises (@p42) :args ((@list @t72 @t69 @t71))) % 0.53/0.72 (step-pop @p167 :rule scope :premises (@p161)) % 0.53/0.72 (step @p162 :rule process_scope :premises (@p167) :args (@t139)) % 0.53/0.72 (step @p164 :rule implies_elim :premises (@p162)) % 0.53/0.72 (step @p165 false :rule chain_m_resolution :premises (@p164 @p159 @p42) :args (false (@list true false) (@list @t139 @t141))) % 0.53/0.72 ) % 0.53/0.72 % SZS output end Proof % 0.53/0.72 % cvc5 exiting %------------------------------------------------------------------------------