%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO259+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 : n009.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 08:16:58 AM UTC 2026 % Result : Theorem 15.55s 15.82s % Output : Proof 15.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO259+1 : TPTP v9.2.1. Bugfixed v6.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n009.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 23:41:14 EDT 2026 % 0.17/0.34 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.55/15.82 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.55/15.82 --- Run --no-e-matching --full-saturate-quant at 6... % 15.55/15.82 % SZS status Theorem % 15.55/15.82 % SZS output start Proof % 15.55/15.82 ( % 15.55/15.82 (declare-sort $$unsorted 0) % 15.55/15.82 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 15.55/15.82 (declare-const tptp.left_apart_point (-> $$unsorted $$unsorted Bool)) % 15.55/15.82 (declare-const tptp.point (-> $$unsorted Bool)) % 15.55/15.82 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 15.55/15.82 (declare-const tptp.unequally_directed_lines (-> $$unsorted $$unsorted Bool)) % 15.55/15.82 (declare-const tptp.between_on_line (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 15.55/15.82 (declare-const tptp.line (-> $$unsorted Bool)) % 15.55/15.82 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 15.55/15.82 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 15.55/15.82 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 15.55/15.82 (declare-const tptp.reverse_line (-> $$unsorted $$unsorted)) % 15.55/15.82 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 15.55/15.82 (declare-const tptp.before_on_line (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.55/15.82 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 15.55/15.82 (declare-const tptp.divides_points (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.55/15.82 (declare-const tptp.left_convergent_lines (-> $$unsorted $$unsorted Bool)) % 15.55/15.82 (define @t1 () (@var "L" $$unsorted)) % 15.55/15.82 (define @t2 () (tptp.reverse_line @t1)) % 15.55/15.82 (define @t3 () (@var "A" $$unsorted)) % 15.55/15.82 (define @t4 () (tptp.left_apart_point @t3 @t2)) % 15.55/15.82 (define @t5 () (tptp.left_apart_point @t3 @t1)) % 15.55/15.82 (define @t6 () (or @t5 @t4)) % 15.55/15.82 (define @t7 () (@list @t3 @t1)) % 15.55/15.82 (define @t8 () (@var "M" $$unsorted)) % 15.55/15.82 (define @t9 () (tptp.reverse_line @t8)) % 15.55/15.82 (define @t10 () (tptp.unequally_directed_lines @t1 @t9)) % 15.55/15.82 (define @t11 () (tptp.unequally_directed_lines @t1 @t8)) % 15.55/15.82 (define @t12 () (and @t11 @t10)) % 15.55/15.82 (define @t13 () (@list @t1 @t8)) % 15.55/15.82 (define @t14 () (@var "B" $$unsorted)) % 15.55/15.82 (define @t15 () (tptp.left_apart_point @t14 @t1)) % 15.55/15.82 (define @t16 () (tptp.left_apart_point @t14 @t2)) % 15.55/15.82 (define @t17 () (@list @t3 @t14 @t1)) % 15.55/15.82 (define @t18 () (tptp.line_connecting @t3 @t14)) % 15.55/15.82 (define @t19 () (not @t6)) % 15.55/15.82 (define @t20 () (tptp.distinct_points @t3 @t14)) % 15.55/15.82 (define @t21 () (tptp.before_on_line @t1 @t3 @t14)) % 15.55/15.82 (define @t22 () (@var "C" $$unsorted)) % 15.55/15.82 (define @t23 () (tptp.between_on_line @t1 @t3 @t14 @t22)) % 15.55/15.82 (define @t24 () (@list @t1 @t3 @t14 @t22)) % 15.55/15.82 (define @t25 () (tptp.distinct_points @t14 @t22)) % 15.55/15.82 (define @t26 () (tptp.distinct_points @t3 @t22)) % 15.55/15.82 (define @t27 () (@list @t1)) % 15.55/15.82 (define @t28 () (@var "N" $$unsorted)) % 15.55/15.82 (define @t29 () (tptp.distinct_lines @t1 @t8)) % 15.55/15.82 (define @t30 () (@list @t1 @t8 @t28)) % 15.55/15.82 (define @t31 () (tptp.unequally_directed_lines @t8 @t28)) % 15.55/15.82 (define @t32 () (tptp.unequally_directed_lines @t1 @t28)) % 15.55/15.82 (define @t33 () (or @t32 @t31)) % 15.55/15.82 (define @t34 () (forall @t30 (=> @t11 @t33))) % 15.55/15.82 (define @t35 () (tptp.reverse_line @t28)) % 15.55/15.82 (define @t36 () (and @t31 (tptp.unequally_directed_lines @t8 @t35))) % 15.55/15.82 (define @t37 () (and @t32 (tptp.unequally_directed_lines @t1 @t35))) % 15.55/15.82 (define @t38 () (or @t37 @t36)) % 15.55/15.82 (define @t39 () (forall @t30 (=> @t12 @t38))) % 15.55/15.82 (define @t40 () (or @t11 @t10)) % 15.55/15.82 (define @t41 () (tptp.line @t8)) % 15.55/15.82 (define @t42 () (tptp.line @t1)) % 15.55/15.82 (define @t43 () (and @t42 @t41)) % 15.55/15.82 (define @t44 () (forall @t13 (=> @t43 @t40))) % 15.55/15.82 (define @t45 () (tptp.left_convergent_lines @t1 @t9)) % 15.55/15.82 (define @t46 () (tptp.left_convergent_lines @t1 @t8)) % 15.55/15.82 (define @t47 () (or @t46 @t45)) % 15.55/15.82 (define @t48 () (forall @t13 (=> @t12 @t47))) % 15.55/15.82 (define @t49 () (forall @t13 (not @t47))) % 15.55/15.82 (define @t50 () (tptp.point @t3)) % 15.55/15.82 (define @t51 () (@list @t3 @t14)) % 15.55/15.82 (define @t52 () (tptp.intersection_point @t1 @t8)) % 15.55/15.82 (define @t53 () (tptp.parallel_through_point @t1 @t3)) % 15.55/15.82 (define @t54 () (tptp.left_apart_point @t3 @t9)) % 15.55/15.82 (define @t55 () (tptp.between_on_line @t1 @t14 @t3 @t22)) % 15.55/15.82 (define @t56 () (not (and @t23 @t55))) % 15.55/15.82 (define @t57 () (and @t42 @t26 @t25 @t20)) % 15.55/15.82 (define @t58 () (forall @t24 (=> @t57 @t56))) % 15.55/15.82 (define @t59 () (not @t58)) % 15.55/15.82 (define @t60 () (not @t11)) % 15.55/15.82 (define @t61 () (or @t60 @t32 @t31)) % 15.55/15.82 (define @t62 () (not @t10)) % 15.55/15.82 (define @t63 () (or @t60 @t62)) % 15.55/15.82 (define @t64 () (not @t12)) % 15.55/15.83 (define @t65 () (not @t55)) % 15.55/15.83 (define @t66 () (not @t23)) % 15.55/15.83 (define @t67 () (not @t20)) % 15.55/15.83 (define @t68 () (not @t25)) % 15.55/15.83 (define @t69 () (not @t26)) % 15.55/15.83 (define @t70 () (not @t42)) % 15.55/15.83 (define @t71 () (or @t70 @t69 @t68 @t67 @t66 @t65)) % 15.55/15.83 (define @t72 () (forall @t24 @t71)) % 15.55/15.83 (define @t73 () (@quantifiers_skolemize @t72 0)) % 15.55/15.83 (define @t74 () (@quantifiers_skolemize @t72 1)) % 15.55/15.83 (define @t75 () (tptp.line_connecting @t74 @t74)) % 15.55/15.83 (define @t76 () (tptp.reverse_line @t73)) % 15.55/15.83 (define @t77 () (tptp.reverse_line @t75)) % 15.55/15.83 (define @t78 () (not @t41)) % 15.55/15.83 (define @t79 () (or @t70 @t69 @t68 @t67)) % 15.55/15.83 (define @t80 () (tptp.line @t73)) % 15.55/15.83 (define @t81 () (@quantifiers_skolemize @t72 3)) % 15.55/15.83 (define @t82 () (@quantifiers_skolemize @t72 2)) % 15.55/15.83 (define @t83 () (not @t80)) % 15.55/15.83 (define @t84 () (or @t83 (not (tptp.distinct_points @t74 @t81)) (not (tptp.distinct_points @t82 @t81)) (not (tptp.distinct_points @t74 @t82)) (not (tptp.between_on_line @t73 @t74 @t82 @t81)) (not (tptp.between_on_line @t73 @t82 @t74 @t81)))) % 15.55/15.83 (define @t85 () (@list true)) % 15.55/15.83 (define @t86 () (tptp.unequally_directed_lines @t73 @t76)) % 15.55/15.83 (define @t87 () (tptp.unequally_directed_lines @t73 @t73)) % 15.55/15.83 (define @t88 () (or @t83 @t83 @t87 @t86)) % 15.55/15.83 (define @t89 () (tptp.unequally_directed_lines @t75 @t77)) % 15.55/15.83 (define @t90 () (tptp.unequally_directed_lines @t73 @t77)) % 15.55/15.83 (define @t91 () (tptp.unequally_directed_lines @t73 @t75)) % 15.55/15.83 (define @t92 () (not @t91)) % 15.55/15.83 (define @t93 () (or @t92 @t90 @t89)) % 15.55/15.83 (define @t94 () (@list @t73 @t75)) % 15.55/15.83 (define @t95 () (not @t45)) % 15.55/15.83 (define @t96 () (forall @t13 @t95)) % 15.55/15.83 (define @t97 () (@list @t1 @t8)) % 15.55/15.83 (define @t98 () (not @t46)) % 15.55/15.83 (define @t99 () (forall @t13 @t98)) % 15.55/15.83 (define @t100 () (and @t99 @t96)) % 15.55/15.83 (define @t101 () (tptp.left_convergent_lines @t73 @t77)) % 15.55/15.83 (define @t102 () (tptp.left_convergent_lines @t73 @t75)) % 15.55/15.83 (define @t103 () (not @t90)) % 15.55/15.83 (define @t104 () (or @t92 @t103 @t102 @t101)) % 15.55/15.83 (define @t105 () (tptp.unequally_directed_lines @t76 @t75)) % 15.55/15.83 (define @t106 () (not @t86)) % 15.55/15.83 (define @t107 () (or @t106 @t91 @t105)) % 15.55/15.83 (define @t108 () (@list true false false)) % 15.55/15.83 (define @t109 () (tptp.unequally_directed_lines @t76 @t77)) % 15.55/15.83 (define @t110 () (not @t105)) % 15.55/15.83 (define @t111 () (or @t110 @t109 @t89)) % 15.55/15.83 (define @t112 () (tptp.unequally_directed_lines @t76 @t76)) % 15.55/15.83 (define @t113 () (and (tptp.unequally_directed_lines @t76 @t73) @t112)) % 15.55/15.83 (define @t114 () (not @t113)) % 15.55/15.83 (define @t115 () (tptp.unequally_directed_lines @t75 @t73)) % 15.55/15.83 (define @t116 () (and @t115 (tptp.unequally_directed_lines @t75 @t76))) % 15.55/15.83 (define @t117 () (not @t109)) % 15.55/15.83 (define @t118 () (or @t110 @t117 @t113 @t116)) % 15.55/15.83 (define @t119 () (tptp.unequally_directed_lines @t75 @t75)) % 15.55/15.83 (define @t120 () (not @t115)) % 15.55/15.83 (define @t121 () (or @t120 @t119 @t91)) % 15.55/15.83 (define @t122 () (not @t121)) % 15.55/15.83 (define @t123 () (forall @t30 @t61)) % 15.55/15.83 (assume @p1 (forall @t7 (= (tptp.apart_point_and_line @t3 @t1) @t6))) % 15.55/15.83 (assume @p2 (forall @t13 (= (tptp.convergent_lines @t1 @t8) @t12))) % 15.55/15.83 (assume @p3 (forall @t17 (= (tptp.divides_points @t1 @t3 @t14) (or (and @t5 @t16) (and @t4 @t15))))) % 15.55/15.83 (assume @p4 (forall (@list @t1 @t3 @t14) (= @t21 (and @t20 @t19 (not (or @t15 @t16)) (not (tptp.unequally_directed_lines @t1 @t18)))))) % 15.55/15.83 (assume @p5 (forall @t24 (= @t23 (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)))))) % 15.55/15.83 (assume @p6 (forall (@list @t3) (not (tptp.distinct_points @t3 @t3)))) % 15.55/15.83 (assume @p7 (forall (@list @t3 @t14 @t22) (=> @t20 (or @t26 @t25)))) % 15.55/15.83 (assume @p8 (forall @t27 (not (tptp.distinct_lines @t1 @t1)))) % 15.55/15.83 (assume @p9 (forall @t30 (=> @t29 (or (tptp.distinct_lines @t1 @t28) (tptp.distinct_lines @t8 @t28))))) % 15.55/15.83 (assume @p10 (forall @t27 (not (tptp.unequally_directed_lines @t1 @t1)))) % 15.55/15.83 (assume @p11 @t34) % 15.55/15.83 (assume @p12 @t39) % 15.55/15.83 (assume @p13 @t44) % 15.55/15.83 (assume @p14 @t48) % 15.55/15.83 (assume @p15 (forall @t7 @t19)) % 15.55/15.83 (assume @p16 @t49) % 15.55/15.83 (assume @p17 (forall @t51 (=> (and @t50 (tptp.point @t14) @t20) (tptp.line @t18)))) % 15.55/15.83 (assume @p18 (forall @t13 (=> (and @t42 @t41 @t11 @t10) (tptp.point @t52)))) % 15.55/15.83 (assume @p19 (forall (@list @t1 @t3) (=> (and @t50 @t42) (tptp.line @t53)))) % 15.55/15.83 (assume @p20 (forall @t27 (=> @t42 (tptp.line @t2)))) % 15.55/15.83 (assume @p21 (forall @t51 (=> @t20 (and (not (tptp.apart_point_and_line @t3 @t18)) (not (tptp.apart_point_and_line @t14 @t18)))))) % 15.55/15.83 (assume @p22 (forall @t13 (=> @t12 (and (not (tptp.apart_point_and_line @t52 @t1)) (not (tptp.apart_point_and_line @t52 @t8)))))) % 15.55/15.83 (assume @p23 (forall @t7 (not (tptp.apart_point_and_line @t3 @t53)))) % 15.55/15.83 (assume @p24 (forall @t27 (not (tptp.distinct_lines @t1 @t2)))) % 15.55/15.83 (assume @p25 (forall @t51 (not (tptp.unequally_directed_lines @t18 (tptp.reverse_line (tptp.line_connecting @t14 @t3)))))) % 15.55/15.83 (assume @p26 (forall @t7 (not (tptp.unequally_directed_lines @t53 @t1)))) % 15.55/15.83 (assume @p27 (forall (@list @t3 @t14 @t1 @t8) (=> (and @t20 @t29) (or @t5 @t15 (tptp.left_apart_point @t3 @t8) (tptp.left_apart_point @t14 @t8) @t4 @t16 @t54 (tptp.left_apart_point @t14 @t9))))) % 15.55/15.83 (assume @p28 (forall @t17 (=> (and @t20 @t5) (or @t15 (tptp.left_convergent_lines @t18 @t1))))) % 15.55/15.83 (assume @p29 (forall @t17 (=> @t5 (or @t20 @t15)))) % 15.55/15.83 (assume @p30 (forall (@list @t3 @t1 @t8) (=> (and @t5 @t11) (or @t29 @t54)))) % 15.55/15.83 (assume @p31 (forall @t30 (=> @t46 (or @t31 (tptp.left_convergent_lines @t1 @t28))))) % 15.55/15.83 (assume @p32 @t59) % 15.55/15.83 (assume @p33 true) % 15.55/15.83 (step @p34 :rule aci_norm :args ((= (or @t60 @t33) @t61))) % 15.55/15.83 (step @p35 :rule bool-impl-elim :args (@t11 @t33)) % 15.55/15.83 (step @p36 :rule trans :premises (@p35 @p34)) % 15.55/15.83 (step @p37 :rule cong :premises (@p36) :args (@t34)) % 15.55/15.83 (step @p38 :rule eq_resolve :premises (@p11 @p37)) % 15.55/15.83 (step @p39 :rule aci_norm :args ((= (or @t63 @t38) (or @t60 @t62 @t37 @t36)))) % 15.55/15.83 (step @p40 :rule refl :args (@t38)) % 15.55/15.83 (step @p41 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 15.55/15.83 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t64 @t38))) % 15.55/15.83 (step @p43 :rule trans :premises (@p42 @p39)) % 15.55/15.83 (step @p44 :rule bool-impl-elim :args (@t12 @t38)) % 15.55/15.83 (step @p45 :rule trans :premises (@p44 @p43)) % 15.55/15.83 (step @p46 :rule cong :premises (@p45) :args (@t39)) % 15.55/15.83 (step @p47 :rule eq_resolve :premises (@p12 @p46)) % 15.55/15.83 (step @p48 :rule instantiate :premises (@p47) :args ((@list @t76 @t75 @t73))) % 15.55/15.83 (step @p49 :rule instantiate :premises (@p38) :args ((@list @t76 @t75 @t77))) % 15.55/15.83 (step @p50 :rule instantiate :premises (@p38) :args ((@list @t73 @t76 @t75))) % 15.55/15.83 (step @p51 :rule aci_norm :args ((= (or (or @t70 @t78) @t40) (or @t70 @t78 @t11 @t10)))) % 15.55/15.83 (step @p52 :rule refl :args (@t40)) % 15.55/15.83 (step @p53 :rule bool-and-de-morgan :args (@t42 @t41 true)) % 15.55/15.83 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or (not @t43) @t40))) % 15.55/15.83 (step @p55 :rule trans :premises (@p54 @p51)) % 15.55/15.83 (step @p56 :rule bool-impl-elim :args (@t43 @t40)) % 15.55/15.83 (step @p57 :rule trans :premises (@p56 @p55)) % 15.55/15.83 (step @p58 :rule cong :premises (@p57) :args (@t44)) % 15.55/15.83 (step @p59 :rule eq_resolve :premises (@p13 @p58)) % 15.55/15.83 (step @p60 :rule instantiate :premises (@p59) :args ((@list @t73 @t73))) % 15.55/15.83 (step @p61 :rule instantiate :premises (@p10) :args ((@list @t73))) % 15.55/15.83 (step @p62 :rule aci_norm :args ((= (or @t79 (or @t66 @t65)) @t71))) % 15.55/15.83 (step @p63 :rule bool-and-de-morgan :args (@t23 @t55 true)) % 15.55/15.83 (step @p64 :rule aci_norm :args ((= (or @t70 (or @t69 (or @t68 @t67))) @t79))) % 15.55/15.83 (step @p65 :rule bool-and-de-morgan :args (@t25 @t20 true)) % 15.55/15.83 (step @p66 :rule refl :args (@t69)) % 15.55/15.83 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t69 (not (and @t25 @t20))))) % 15.55/15.83 (step @p68 :rule bool-and-de-morgan :args (@t26 @t25 (and @t20))) % 15.55/15.83 (step @p69 :rule trans :premises (@p68 @p67)) % 15.55/15.83 (step @p70 :rule refl :args (@t70)) % 15.55/15.83 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t70 (not (and @t26 @t25 @t20))))) % 15.55/15.83 (step @p72 :rule bool-and-de-morgan :args (@t42 @t26 (and @t25 @t20))) % 15.55/15.83 (step @p73 :rule trans :premises (@p72 @p71)) % 15.55/15.83 (step @p74 :rule trans :premises (@p73 @p64)) % 15.55/15.83 (step @p75 :rule nary_cong :premises (@p74 @p63) :args ((or (not @t57) @t56))) % 15.55/15.83 (step @p76 :rule trans :premises (@p75 @p62)) % 15.55/15.83 (step @p77 :rule bool-impl-elim :args (@t57 @t56)) % 15.55/15.83 (step @p78 :rule trans :premises (@p77 @p76)) % 15.55/15.83 (step @p79 :rule cong :premises (@p78) :args (@t58)) % 15.55/15.83 (step @p80 :rule cong :premises (@p79) :args (@t59)) % 15.55/15.83 (step @p81 :rule eq_resolve :premises (@p32 @p80)) % 15.55/15.83 (step @p82 :rule skolemize :premises (@p81)) % 15.55/15.83 (step @p83 :rule bool-double-not-elim :args (@t80)) % 15.55/15.83 (step @p84 :rule refl :args (@t84)) % 15.55/15.83 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or @t84 (not @t83)))) % 15.55/15.83 (step @p86 :rule cnf_or_neg :args (@t84 0)) % 15.55/15.83 (step @p87 :rule eq_resolve :premises (@p86 @p85)) % 15.55/15.83 (step @p88 :rule reordering :premises (@p87) :args ((or @t80 @t84))) % 15.55/15.83 (step @p89 :rule chain_m_resolution :premises (@p88 @p82) :args (@t80 @t85 (@list @t84))) % 15.55/15.83 (step @p90 :rule cnf_or_pos :args (@t88)) % 15.55/15.83 (step @p91 :rule factoring :premises (@p90)) % 15.55/15.83 (step @p92 :rule reordering :premises (@p91) :args ((or @t83 @t87 @t86 (not @t88)))) % 15.55/15.83 (step @p93 :rule chain_m_resolution :premises (@p92 @p89 @p61 @p60) :args (@t86 (@list false true false) (@list @t80 @t87 @t88))) % 15.55/15.83 (step @p94 :rule instantiate :premises (@p25) :args ((@list @t74 @t74))) % 15.55/15.83 (step @p95 :rule instantiate :premises (@p38) :args ((@list @t73 @t75 @t77))) % 15.55/15.83 (step @p96 :rule cnf_or_pos :args (@t93)) % 15.55/15.83 (step @p97 :rule reordering :premises (@p96) :args ((or @t92 @t89 @t90 (not @t93)))) % 15.55/15.83 (step @p98 :rule aci_norm :args ((= (or @t63 @t47) (or @t60 @t62 @t46 @t45)))) % 15.55/15.83 (step @p99 :rule refl :args (@t47)) % 15.55/15.83 (step @p100 :rule nary_cong :premises (@p41 @p99) :args ((or @t64 @t47))) % 15.55/15.83 (step @p101 :rule trans :premises (@p100 @p98)) % 15.55/15.83 (step @p102 :rule bool-impl-elim :args (@t12 @t47)) % 15.55/15.83 (step @p103 :rule trans :premises (@p102 @p101)) % 15.55/15.83 (step @p104 :rule cong :premises (@p103) :args (@t48)) % 15.55/15.83 (step @p105 :rule eq_resolve :premises (@p14 @p104)) % 15.55/15.83 (step @p106 :rule instantiate :premises (@p105) :args (@t94)) % 15.55/15.83 (step @p107 :rule alpha_equiv :args (@t96 @t97 (@list (@var "BOUND_VARIABLE_7685" $$unsorted) (@var "BOUND_VARIABLE_7687" $$unsorted)))) % 15.55/15.83 (step @p108 :rule alpha_equiv :args (@t99 @t97 (@list (@var "BOUND_VARIABLE_7677" $$unsorted) (@var "BOUND_VARIABLE_7679" $$unsorted)))) % 15.55/15.83 (step @p109 :rule nary_cong :premises (@p108 @p107) :args (@t100)) % 15.55/15.83 (step @p110 :rule quant-miniscope-and :args ((= (forall @t13 (and @t98 @t95)) @t100))) % 15.55/15.83 (step @p111 :rule trans :premises (@p110 @p109)) % 15.55/15.83 (step @p112 :rule bool-or-de-morgan :args (@t46 @t45 false)) % 15.55/15.83 (step @p113 :rule cong :premises (@p112) :args (@t49)) % 15.55/15.83 (step @p114 :rule trans :premises (@p113 @p111)) % 15.55/15.83 (step @p115 :rule eq_resolve :premises (@p16 @p114)) % 15.55/15.83 (step @p116 :rule and_elim :premises (@p115) :args (0)) % 15.55/15.83 (step @p117 :rule instantiate :premises (@p116) :args ((@list @t73 @t77))) % 15.55/15.83 (step @p118 :rule instantiate :premises (@p116) :args (@t94)) % 15.55/15.83 (step @p119 :rule cnf_or_pos :args (@t104)) % 15.55/15.83 (step @p120 :rule reordering :premises (@p119) :args ((or @t92 @t103 @t102 @t101 (not @t104)))) % 15.55/15.83 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p117 @p106 @p97 @p95 @p94) :args (@t92 (@list true true false false false true) (@list @t102 @t101 @t104 @t90 @t93 @t89))) % 15.55/15.83 (step @p122 :rule cnf_or_pos :args (@t107)) % 15.55/15.83 (step @p123 :rule reordering :premises (@p122) :args ((or @t91 @t106 @t105 (not @t107)))) % 15.55/15.83 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p93 @p50) :args (@t105 @t108 (@list @t91 @t86 @t107))) % 15.55/15.83 (step @p125 :rule cnf_or_pos :args (@t111)) % 15.55/15.83 (step @p126 :rule reordering :premises (@p125) :args ((or @t89 @t110 @t109 (not @t111)))) % 15.55/15.83 (step @p127 :rule chain_m_resolution :premises (@p126 @p94 @p124 @p49) :args (@t109 @t108 (@list @t89 @t105 @t111))) % 15.55/15.83 (step @p128 :rule instantiate :premises (@p10) :args ((@list @t76))) % 15.55/15.83 (step @p129 :rule cnf_and_pos :args (@t113 1)) % 15.55/15.83 (step @p130 :rule reordering :premises (@p129) :args ((or @t112 @t114))) % 15.55/15.83 (step @p131 :rule chain_m_resolution :premises (@p130 @p128) :args (@t114 @t85 (@list @t112))) % 15.55/15.83 (step @p132 :rule cnf_or_pos :args (@t118)) % 15.55/15.83 (step @p133 :rule reordering :premises (@p132) :args ((or @t113 @t116 @t110 @t117 (not @t118)))) % 15.55/15.83 (step @p134 :rule chain_m_resolution :premises (@p133 @p131 @p124 @p127 @p48) :args (@t116 (@list true false false false) (@list @t113 @t105 @t109 @t118))) % 15.55/15.83 (step @p135 :rule cnf_and_pos :args (@t116 0)) % 15.55/15.83 (step @p136 :rule reordering :premises (@p135) :args ((or @t115 (not @t116)))) % 15.55/15.83 (step @p137 :rule chain_m_resolution :premises (@p136 @p134) :args (@t115 (@list false) (@list @t116))) % 15.55/15.83 (step @p138 :rule instantiate :premises (@p10) :args ((@list @t75))) % 15.55/15.83 (step @p139 :rule cnf_or_pos :args (@t121)) % 15.55/15.83 (step @p140 :rule reordering :premises (@p139) :args ((or @t91 @t119 @t120 @t122))) % 15.55/15.83 (step @p141 :rule chain_m_resolution :premises (@p140 @p121 @p138 @p137) :args (@t122 (@list true true false) (@list @t91 @t119 @t115))) % 15.55/15.83 (assume-push @p148 @t123) % 15.55/15.83 (step @p143 :rule instantiate :premises (@p38) :args ((@list @t75 @t73 @t75))) % 15.55/15.83 (step-pop @p149 :rule scope :premises (@p143)) % 15.55/15.83 (step @p144 :rule process_scope :premises (@p149) :args (@t121)) % 15.55/15.83 (step @p146 :rule implies_elim :premises (@p144)) % 15.55/15.83 (step @p147 false :rule chain_m_resolution :premises (@p146 @p141 @p38) :args (false (@list true false) (@list @t121 @t123))) % 15.55/15.83 ) % 15.55/15.83 % SZS output end Proof % 15.55/15.83 % cvc5 exiting %------------------------------------------------------------------------------