%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO247+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 : n003.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 08:16:56 AM UTC 2026 % Result : Theorem 0.40s 0.59s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO247+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n003.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 % 0.17/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.59 % SZS status Theorem % 0.40/0.59 % SZS output start Proof % 0.40/0.59 ( % 0.40/0.59 (declare-sort $$unsorted 0) % 0.40/0.59 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.59 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.59 (declare-const tptp.point (-> $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.before_on_line (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.reverse_line (-> $$unsorted $$unsorted)) % 0.40/0.59 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.unequally_directed_lines (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.right_convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.left_apart_point (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.59 (declare-const tptp.right_apart_point (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.left_convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.between_on_line (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.equally_directed_lines (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.equally_directed_opposite_lines (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.line (-> $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.unequally_directed_opposite_lines (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.divides_points (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.40/0.59 (define @t1 () (@var "Y" $$unsorted)) % 0.40/0.59 (define @t2 () (tptp.reverse_line @t1)) % 0.40/0.59 (define @t3 () (@var "X" $$unsorted)) % 0.40/0.59 (define @t4 () (tptp.unequally_directed_opposite_lines @t3 @t1)) % 0.40/0.59 (define @t5 () (@list @t3 @t1)) % 0.40/0.59 (define @t6 () (@var "L" $$unsorted)) % 0.40/0.59 (define @t7 () (@var "A" $$unsorted)) % 0.40/0.59 (define @t8 () (tptp.right_apart_point @t7 @t6)) % 0.40/0.59 (define @t9 () (tptp.left_apart_point @t7 @t6)) % 0.40/0.59 (define @t10 () (@list @t7 @t6)) % 0.40/0.59 (define @t11 () (@var "M" $$unsorted)) % 0.40/0.59 (define @t12 () (tptp.unequally_directed_lines @t6 @t11)) % 0.40/0.59 (define @t13 () (tptp.convergent_lines @t6 @t11)) % 0.40/0.59 (define @t14 () (@list @t6 @t11)) % 0.40/0.59 (define @t15 () (@var "B" $$unsorted)) % 0.40/0.59 (define @t16 () (tptp.left_apart_point @t15 @t6)) % 0.40/0.59 (define @t17 () (tptp.right_apart_point @t15 @t6)) % 0.40/0.59 (define @t18 () (@list @t7 @t15 @t6)) % 0.40/0.59 (define @t19 () (tptp.line_connecting @t7 @t15)) % 0.40/0.59 (define @t20 () (tptp.distinct_points @t7 @t15)) % 0.40/0.59 (define @t21 () (tptp.before_on_line @t6 @t7 @t15)) % 0.40/0.59 (define @t22 () (@var "C" $$unsorted)) % 0.40/0.59 (define @t23 () (@list @t6)) % 0.40/0.59 (define @t24 () (@var "N" $$unsorted)) % 0.40/0.59 (define @t25 () (tptp.distinct_lines @t6 @t11)) % 0.40/0.59 (define @t26 () (@list @t6 @t11 @t24)) % 0.40/0.59 (define @t27 () (tptp.unequally_directed_lines @t11 @t24)) % 0.40/0.59 (define @t28 () (tptp.unequally_directed_lines @t6 @t24)) % 0.40/0.59 (define @t29 () (tptp.reverse_line @t24)) % 0.40/0.59 (define @t30 () (tptp.reverse_line @t11)) % 0.40/0.59 (define @t31 () (tptp.unequally_directed_lines @t6 @t30)) % 0.40/0.59 (define @t32 () (and @t12 @t31)) % 0.40/0.59 (define @t33 () (tptp.left_convergent_lines @t6 @t11)) % 0.40/0.59 (define @t34 () (or @t33 (tptp.left_convergent_lines @t6 @t30))) % 0.40/0.59 (define @t35 () (tptp.reverse_line @t6)) % 0.40/0.59 (define @t36 () (tptp.left_apart_point @t7 @t35)) % 0.40/0.59 (define @t37 () (forall @t10 (not (or @t9 @t36)))) % 0.40/0.59 (define @t38 () (tptp.point @t7)) % 0.40/0.59 (define @t39 () (@list @t7 @t15)) % 0.40/0.59 (define @t40 () (tptp.intersection_point @t6 @t11)) % 0.40/0.59 (define @t41 () (tptp.line @t6)) % 0.40/0.59 (define @t42 () (tptp.parallel_through_point @t6 @t7)) % 0.40/0.59 (define @t43 () (tptp.left_apart_point @t7 @t30)) % 0.40/0.59 (define @t44 () (tptp.left_apart_point @t7 @t11)) % 0.40/0.59 (define @t45 () (@var "D" $$unsorted)) % 0.40/0.59 (define @t46 () (tptp.left_apart_point @t45 @t11)) % 0.40/0.59 (define @t47 () (tptp.right_apart_point @t45 @t6)) % 0.40/0.59 (define @t48 () (tptp.right_apart_point @t22 @t11)) % 0.40/0.59 (define @t49 () (tptp.left_apart_point @t22 @t6)) % 0.40/0.59 (define @t50 () (tptp.right_apart_point @t15 @t11)) % 0.40/0.59 (define @t51 () (and @t9 @t44 @t17 @t50 @t49 @t48 @t47 @t46)) % 0.40/0.59 (define @t52 () (@list @t7 @t15 @t22 @t45 @t6 @t11)) % 0.40/0.59 (define @t53 () (forall @t52 (=> @t51 @t13))) % 0.40/0.59 (define @t54 () (not @t53)) % 0.40/0.59 (define @t55 () (not @t36)) % 0.40/0.59 (define @t56 () (forall @t10 @t55)) % 0.40/0.59 (define @t57 () (@list @t7 @t6)) % 0.40/0.59 (define @t58 () (not @t9)) % 0.40/0.59 (define @t59 () (forall @t10 @t58)) % 0.40/0.59 (define @t60 () (@var "BOUND_VARIABLE_7677" $$unsorted)) % 0.40/0.59 (define @t61 () (@var "BOUND_VARIABLE_7675" $$unsorted)) % 0.40/0.59 (define @t62 () (and @t59 @t56)) % 0.40/0.59 (define @t63 () (not @t46)) % 0.40/0.59 (define @t64 () (not @t47)) % 0.40/0.59 (define @t65 () (not @t48)) % 0.40/0.59 (define @t66 () (not @t49)) % 0.40/0.59 (define @t67 () (not @t50)) % 0.40/0.59 (define @t68 () (not @t17)) % 0.40/0.59 (define @t69 () (not @t44)) % 0.40/0.59 (define @t70 () (or @t58 @t69 @t68 @t67 @t66 @t65 @t64 @t63 @t13)) % 0.40/0.59 (define @t71 () (or @t58 @t69 @t68 @t67 @t66 @t65 @t64 @t63)) % 0.40/0.59 (define @t72 () (forall @t52 @t70)) % 0.40/0.59 (define @t73 () (@quantifiers_skolemize @t72 4)) % 0.40/0.59 (define @t74 () (@quantifiers_skolemize @t72 0)) % 0.40/0.59 (define @t75 () (tptp.left_apart_point @t74 @t73)) % 0.40/0.59 (define @t76 () (@quantifiers_skolemize @t72 5)) % 0.40/0.59 (define @t77 () (@quantifiers_skolemize @t72 3)) % 0.40/0.59 (define @t78 () (@quantifiers_skolemize @t72 2)) % 0.40/0.59 (define @t79 () (@quantifiers_skolemize @t72 1)) % 0.40/0.59 (define @t80 () (not @t75)) % 0.40/0.59 (define @t81 () (or @t80 (not (tptp.left_apart_point @t74 @t76)) (not (tptp.right_apart_point @t79 @t73)) (not (tptp.right_apart_point @t79 @t76)) (not (tptp.left_apart_point @t78 @t73)) (not (tptp.right_apart_point @t78 @t76)) (not (tptp.right_apart_point @t77 @t73)) (not (tptp.left_apart_point @t77 @t76)) (tptp.convergent_lines @t73 @t76))) % 0.40/0.59 (define @t82 () (forall (@list @t61 @t60) (not (tptp.left_apart_point @t61 @t60)))) % 0.40/0.59 (assume @p1 (forall @t5 (= @t4 (tptp.unequally_directed_lines @t3 @t2)))) % 0.40/0.59 (assume @p2 (forall @t5 (= (tptp.right_apart_point @t3 @t1) (tptp.left_apart_point @t3 @t2)))) % 0.40/0.59 (assume @p3 (forall @t5 (= (tptp.right_convergent_lines @t3 @t1) (tptp.left_convergent_lines @t3 @t2)))) % 0.40/0.59 (assume @p4 (forall @t5 (= (tptp.equally_directed_lines @t3 @t1) (not (tptp.unequally_directed_lines @t3 @t1))))) % 0.40/0.59 (assume @p5 (forall @t5 (= (tptp.equally_directed_opposite_lines @t3 @t1) (not @t4)))) % 0.40/0.59 (assume @p6 (forall @t10 (= (tptp.apart_point_and_line @t7 @t6) (or @t9 @t8)))) % 0.40/0.59 (assume @p7 (forall @t14 (= @t13 (and @t12 (tptp.unequally_directed_opposite_lines @t6 @t11))))) % 0.40/0.59 (assume @p8 (forall @t18 (= (tptp.divides_points @t6 @t7 @t15) (or (and @t9 @t17) (and @t8 @t16))))) % 0.40/0.59 (assume @p9 (forall (@list @t6 @t7 @t15) (= @t21 (and @t20 (tptp.incident_point_and_line @t7 @t6) (tptp.incident_point_and_line @t15 @t6) (tptp.equally_directed_lines @t6 @t19))))) % 0.40/0.59 (assume @p10 (forall (@list @t6 @t7 @t15 @t22) (= (tptp.between_on_line @t6 @t7 @t15 @t22) (or (and @t21 (tptp.before_on_line @t6 @t15 @t22)) (and (tptp.before_on_line @t6 @t22 @t15) (tptp.before_on_line @t6 @t15 @t7)))))) % 0.40/0.59 (assume @p11 (forall (@list @t7) (not (tptp.distinct_points @t7 @t7)))) % 0.40/0.59 (assume @p12 (forall (@list @t7 @t15 @t22) (=> @t20 (or (tptp.distinct_points @t7 @t22) (tptp.distinct_points @t15 @t22))))) % 0.40/0.59 (assume @p13 (forall @t23 (not (tptp.distinct_lines @t6 @t6)))) % 0.40/0.59 (assume @p14 (forall @t26 (=> @t25 (or (tptp.distinct_lines @t6 @t24) (tptp.distinct_lines @t11 @t24))))) % 0.40/0.59 (assume @p15 (forall @t23 (tptp.equally_directed_lines @t6 @t6))) % 0.40/0.59 (assume @p16 (forall @t26 (=> @t12 (or @t28 @t27)))) % 0.40/0.59 (assume @p17 (forall @t26 (=> @t32 (or (and @t28 (tptp.unequally_directed_lines @t6 @t29)) (and @t27 (tptp.unequally_directed_lines @t11 @t29)))))) % 0.40/0.59 (assume @p18 (forall @t14 (or @t12 @t31))) % 0.40/0.59 (assume @p19 (forall @t14 (=> @t32 @t34))) % 0.40/0.59 (assume @p20 @t37) % 0.40/0.59 (assume @p21 (forall @t14 (not @t34))) % 0.40/0.59 (assume @p22 (forall @t39 (=> (and @t38 (tptp.point @t15) @t20) (tptp.line @t19)))) % 0.40/0.59 (assume @p23 (forall @t14 (=> (and @t41 (tptp.line @t11) @t12 @t31) (tptp.point @t40)))) % 0.40/0.59 (assume @p24 (forall (@list @t6 @t7) (=> (and @t38 @t41) (tptp.line @t42)))) % 0.40/0.59 (assume @p25 (forall @t23 (=> @t41 (tptp.line @t35)))) % 0.40/0.59 (assume @p26 (forall @t39 (=> @t20 (and (not (tptp.apart_point_and_line @t7 @t19)) (not (tptp.apart_point_and_line @t15 @t19)))))) % 0.40/0.59 (assume @p27 (forall @t14 (=> @t32 (and (not (tptp.apart_point_and_line @t40 @t6)) (not (tptp.apart_point_and_line @t40 @t11)))))) % 0.40/0.59 (assume @p28 (forall @t10 (not (tptp.apart_point_and_line @t7 @t42)))) % 0.40/0.59 (assume @p29 (forall @t23 (not (tptp.distinct_lines @t6 @t35)))) % 0.40/0.59 (assume @p30 (forall @t39 (=> @t20 (tptp.equally_directed_lines @t19 (tptp.reverse_line (tptp.line_connecting @t15 @t7)))))) % 0.40/0.59 (assume @p31 (forall @t10 (tptp.equally_directed_lines @t42 @t6))) % 0.40/0.59 (assume @p32 (forall (@list @t7 @t15 @t6 @t11) (=> (and @t20 @t25) (or @t9 @t16 @t44 (tptp.left_apart_point @t15 @t11) @t36 (tptp.left_apart_point @t15 @t35) @t43 (tptp.left_apart_point @t15 @t30))))) % 0.40/0.59 (assume @p33 (forall @t18 (=> (and @t20 @t9) (or @t16 (tptp.left_convergent_lines @t19 @t6))))) % 0.40/0.59 (assume @p34 (forall @t18 (=> @t9 (or @t20 @t16)))) % 0.40/0.59 (assume @p35 (forall (@list @t7 @t6 @t11) (=> (and @t9 @t12) (or @t25 @t43)))) % 0.40/0.59 (assume @p36 (forall @t26 (=> @t33 (or @t27 (tptp.left_convergent_lines @t6 @t24))))) % 0.40/0.59 (assume @p37 @t54) % 0.40/0.59 (assume @p38 true) % 0.40/0.59 (step @p39 :rule alpha_equiv :args (@t56 @t57 (@list (@var "BOUND_VARIABLE_7683" $$unsorted) (@var "BOUND_VARIABLE_7685" $$unsorted)))) % 0.40/0.59 (step @p40 :rule alpha_equiv :args (@t59 @t57 (@list @t61 @t60))) % 0.40/0.59 (step @p41 :rule nary_cong :premises (@p40 @p39) :args (@t62)) % 0.40/0.59 (step @p42 :rule quant-miniscope-and :args ((= (forall @t10 (and @t58 @t55)) @t62))) % 0.40/0.59 (step @p43 :rule trans :premises (@p42 @p41)) % 0.40/0.59 (step @p44 :rule bool-or-de-morgan :args (@t9 @t36 false)) % 0.40/0.59 (step @p45 :rule cong :premises (@p44) :args (@t37)) % 0.40/0.59 (step @p46 :rule trans :premises (@p45 @p43)) % 0.40/0.59 (step @p47 :rule eq_resolve :premises (@p20 @p46)) % 0.40/0.59 (step @p48 :rule and_elim :premises (@p47) :args (0)) % 0.40/0.59 (step @p49 :rule aci_norm :args ((= (or @t71 @t13) @t70))) % 0.40/0.59 (step @p50 :rule refl :args (@t13)) % 0.40/0.59 (step @p51 :rule aci_norm :args ((= (or @t58 (or @t69 (or @t68 (or @t67 (or @t66 (or @t65 (or @t64 @t63))))))) @t71))) % 0.40/0.59 (step @p52 :rule bool-and-de-morgan :args (@t47 @t46 true)) % 0.40/0.59 (step @p53 :rule refl :args (@t65)) % 0.40/0.59 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or @t65 (not (and @t47 @t46))))) % 0.40/0.59 (step @p55 :rule bool-and-de-morgan :args (@t48 @t47 (and @t46))) % 0.40/0.59 (step @p56 :rule trans :premises (@p55 @p54)) % 0.40/0.59 (step @p57 :rule refl :args (@t66)) % 0.40/0.59 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or @t66 (not (and @t48 @t47 @t46))))) % 0.40/0.59 (step @p59 :rule bool-and-de-morgan :args (@t49 @t48 (and @t47 @t46))) % 0.40/0.59 (step @p60 :rule trans :premises (@p59 @p58)) % 0.40/0.59 (step @p61 :rule refl :args (@t67)) % 0.40/0.59 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t67 (not (and @t49 @t48 @t47 @t46))))) % 0.40/0.59 (step @p63 :rule bool-and-de-morgan :args (@t50 @t49 (and @t48 @t47 @t46))) % 0.40/0.59 (step @p64 :rule trans :premises (@p63 @p62)) % 0.40/0.59 (step @p65 :rule refl :args (@t68)) % 0.40/0.59 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t68 (not (and @t50 @t49 @t48 @t47 @t46))))) % 0.40/0.59 (step @p67 :rule bool-and-de-morgan :args (@t17 @t50 (and @t49 @t48 @t47 @t46))) % 0.40/0.59 (step @p68 :rule trans :premises (@p67 @p66)) % 0.40/0.59 (step @p69 :rule refl :args (@t69)) % 0.40/0.59 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t69 (not (and @t17 @t50 @t49 @t48 @t47 @t46))))) % 0.40/0.59 (step @p71 :rule bool-and-de-morgan :args (@t44 @t17 (and @t50 @t49 @t48 @t47 @t46))) % 0.40/0.59 (step @p72 :rule trans :premises (@p71 @p70)) % 0.40/0.59 (step @p73 :rule refl :args (@t58)) % 0.40/0.59 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t58 (not (and @t44 @t17 @t50 @t49 @t48 @t47 @t46))))) % 0.40/0.59 (step @p75 :rule bool-and-de-morgan :args (@t9 @t44 (and @t17 @t50 @t49 @t48 @t47 @t46))) % 0.40/0.59 (step @p76 :rule trans :premises (@p75 @p74)) % 0.40/0.59 (step @p77 :rule trans :premises (@p76 @p51)) % 0.40/0.59 (step @p78 :rule nary_cong :premises (@p77 @p50) :args ((or (not @t51) @t13))) % 0.40/0.59 (step @p79 :rule trans :premises (@p78 @p49)) % 0.40/0.59 (step @p80 :rule bool-impl-elim :args (@t51 @t13)) % 0.40/0.59 (step @p81 :rule trans :premises (@p80 @p79)) % 0.40/0.59 (step @p82 :rule cong :premises (@p81) :args (@t53)) % 0.40/0.59 (step @p83 :rule cong :premises (@p82) :args (@t54)) % 0.40/0.59 (step @p84 :rule eq_resolve :premises (@p37 @p83)) % 0.40/0.59 (step @p85 :rule skolemize :premises (@p84)) % 0.40/0.59 (step @p86 :rule bool-double-not-elim :args (@t75)) % 0.40/0.59 (step @p87 :rule refl :args (@t81)) % 0.40/0.59 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or @t81 (not @t80)))) % 0.40/0.59 (step @p89 :rule cnf_or_neg :args (@t81 0)) % 0.40/0.59 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 0.40/0.59 (step @p91 :rule reordering :premises (@p90) :args ((or @t75 @t81))) % 0.40/0.59 (step @p92 :rule chain_m_resolution :premises (@p91 @p85) :args (@t75 (@list true) (@list @t81))) % 0.40/0.59 (assume-push @p99 @t82) % 0.40/0.59 (step @p94 :rule instantiate :premises (@p48) :args ((@list @t74 @t73))) % 0.40/0.59 (step-pop @p100 :rule scope :premises (@p94)) % 0.40/0.59 (step @p95 :rule process_scope :premises (@p100) :args (@t80)) % 0.40/0.59 (step @p97 :rule implies_elim :premises (@p95)) % 0.40/0.59 (step @p98 false :rule chain_m_resolution :premises (@p97 @p92 @p48) :args (false (@list false false) (@list @t75 @t82))) % 0.40/0.59 ) % 0.40/0.59 % SZS output end Proof % 0.40/0.59 % cvc5 exiting %------------------------------------------------------------------------------