%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO247+1 : TPTP v9.2.1. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:16:55 AM UTC 2026 % Result : Theorem 0.39s 0.59s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO247+1 : TPTP v9.2.1. Bugfixed v6.4.0. % 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 : n023.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 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Mon Jun 1 23:42:13 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.59 % SZS status Theorem % 0.39/0.59 % SZS output start Proof % 0.39/0.59 ( % 0.39/0.59 (declare-sort $$unsorted 0) % 0.39/0.59 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.left_apart_point (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.point (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.unequally_directed_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.between_on_line (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.line (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.reverse_line (-> $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.before_on_line (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.divides_points (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.left_convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (define @t1 () (@var "L" $$unsorted)) % 0.39/0.59 (define @t2 () (tptp.reverse_line @t1)) % 0.39/0.59 (define @t3 () (@var "A" $$unsorted)) % 0.39/0.59 (define @t4 () (tptp.left_apart_point @t3 @t2)) % 0.39/0.59 (define @t5 () (tptp.left_apart_point @t3 @t1)) % 0.39/0.59 (define @t6 () (or @t5 @t4)) % 0.39/0.59 (define @t7 () (@list @t3 @t1)) % 0.39/0.59 (define @t8 () (@var "M" $$unsorted)) % 0.39/0.59 (define @t9 () (tptp.reverse_line @t8)) % 0.39/0.59 (define @t10 () (tptp.unequally_directed_lines @t1 @t9)) % 0.39/0.59 (define @t11 () (tptp.unequally_directed_lines @t1 @t8)) % 0.39/0.59 (define @t12 () (and @t11 @t10)) % 0.39/0.59 (define @t13 () (tptp.convergent_lines @t1 @t8)) % 0.39/0.59 (define @t14 () (@list @t1 @t8)) % 0.39/0.59 (define @t15 () (@var "B" $$unsorted)) % 0.39/0.59 (define @t16 () (tptp.left_apart_point @t15 @t1)) % 0.39/0.59 (define @t17 () (tptp.left_apart_point @t15 @t2)) % 0.39/0.59 (define @t18 () (@list @t3 @t15 @t1)) % 0.39/0.59 (define @t19 () (tptp.line_connecting @t3 @t15)) % 0.39/0.59 (define @t20 () (not @t6)) % 0.39/0.59 (define @t21 () (tptp.distinct_points @t3 @t15)) % 0.39/0.59 (define @t22 () (tptp.before_on_line @t1 @t3 @t15)) % 0.39/0.59 (define @t23 () (@var "C" $$unsorted)) % 0.39/0.59 (define @t24 () (@list @t1)) % 0.39/0.59 (define @t25 () (@var "N" $$unsorted)) % 0.39/0.59 (define @t26 () (tptp.distinct_lines @t1 @t8)) % 0.39/0.59 (define @t27 () (@list @t1 @t8 @t25)) % 0.39/0.59 (define @t28 () (tptp.unequally_directed_lines @t8 @t25)) % 0.39/0.59 (define @t29 () (tptp.unequally_directed_lines @t1 @t25)) % 0.39/0.59 (define @t30 () (tptp.reverse_line @t25)) % 0.39/0.59 (define @t31 () (tptp.line @t8)) % 0.39/0.59 (define @t32 () (tptp.line @t1)) % 0.39/0.59 (define @t33 () (tptp.left_convergent_lines @t1 @t8)) % 0.39/0.59 (define @t34 () (or @t33 (tptp.left_convergent_lines @t1 @t9))) % 0.39/0.59 (define @t35 () (forall @t7 @t20)) % 0.39/0.59 (define @t36 () (tptp.point @t3)) % 0.39/0.59 (define @t37 () (@list @t3 @t15)) % 0.39/0.59 (define @t38 () (tptp.intersection_point @t1 @t8)) % 0.39/0.59 (define @t39 () (tptp.parallel_through_point @t1 @t3)) % 0.39/0.59 (define @t40 () (tptp.left_apart_point @t15 @t9)) % 0.39/0.59 (define @t41 () (tptp.left_apart_point @t3 @t9)) % 0.39/0.59 (define @t42 () (tptp.left_apart_point @t3 @t8)) % 0.39/0.59 (define @t43 () (@var "D" $$unsorted)) % 0.39/0.59 (define @t44 () (tptp.left_apart_point @t43 @t8)) % 0.39/0.59 (define @t45 () (tptp.left_apart_point @t43 @t2)) % 0.39/0.59 (define @t46 () (tptp.left_apart_point @t23 @t9)) % 0.39/0.59 (define @t47 () (tptp.left_apart_point @t23 @t1)) % 0.39/0.59 (define @t48 () (and @t5 @t42 @t17 @t40 @t47 @t46 @t45 @t44)) % 0.39/0.59 (define @t49 () (@list @t3 @t15 @t23 @t43 @t1 @t8)) % 0.39/0.59 (define @t50 () (forall @t49 (=> @t48 @t13))) % 0.39/0.59 (define @t51 () (not @t50)) % 0.39/0.59 (define @t52 () (not @t4)) % 0.39/0.59 (define @t53 () (forall @t7 @t52)) % 0.39/0.59 (define @t54 () (@list @t3 @t1)) % 0.39/0.59 (define @t55 () (not @t5)) % 0.39/0.59 (define @t56 () (forall @t7 @t55)) % 0.39/0.59 (define @t57 () (@var "BOUND_VARIABLE_7659" $$unsorted)) % 0.39/0.59 (define @t58 () (@var "BOUND_VARIABLE_7657" $$unsorted)) % 0.39/0.59 (define @t59 () (and @t56 @t53)) % 0.39/0.59 (define @t60 () (not @t44)) % 0.39/0.59 (define @t61 () (not @t45)) % 0.39/0.59 (define @t62 () (not @t46)) % 0.39/0.59 (define @t63 () (not @t47)) % 0.39/0.59 (define @t64 () (not @t40)) % 0.39/0.59 (define @t65 () (not @t17)) % 0.39/0.59 (define @t66 () (not @t42)) % 0.39/0.59 (define @t67 () (or @t55 @t66 @t65 @t64 @t63 @t62 @t61 @t60 @t13)) % 0.39/0.59 (define @t68 () (or @t55 @t66 @t65 @t64 @t63 @t62 @t61 @t60)) % 0.39/0.59 (define @t69 () (forall @t49 @t67)) % 0.39/0.59 (define @t70 () (@quantifiers_skolemize @t69 4)) % 0.39/0.59 (define @t71 () (@quantifiers_skolemize @t69 0)) % 0.39/0.59 (define @t72 () (tptp.left_apart_point @t71 @t70)) % 0.39/0.59 (define @t73 () (@quantifiers_skolemize @t69 5)) % 0.39/0.59 (define @t74 () (@quantifiers_skolemize @t69 3)) % 0.39/0.59 (define @t75 () (tptp.reverse_line @t70)) % 0.39/0.59 (define @t76 () (tptp.reverse_line @t73)) % 0.39/0.59 (define @t77 () (@quantifiers_skolemize @t69 2)) % 0.39/0.59 (define @t78 () (@quantifiers_skolemize @t69 1)) % 0.39/0.59 (define @t79 () (not @t72)) % 0.39/0.59 (define @t80 () (or @t79 (not (tptp.left_apart_point @t71 @t73)) (not (tptp.left_apart_point @t78 @t75)) (not (tptp.left_apart_point @t78 @t76)) (not (tptp.left_apart_point @t77 @t70)) (not (tptp.left_apart_point @t77 @t76)) (not (tptp.left_apart_point @t74 @t75)) (not (tptp.left_apart_point @t74 @t73)) (tptp.convergent_lines @t70 @t73))) % 0.39/0.59 (define @t81 () (forall (@list @t58 @t57) (not (tptp.left_apart_point @t58 @t57)))) % 0.39/0.59 (assume @p1 (forall @t7 (= (tptp.apart_point_and_line @t3 @t1) @t6))) % 0.39/0.59 (assume @p2 (forall @t14 (= @t13 @t12))) % 0.39/0.59 (assume @p3 (forall @t18 (= (tptp.divides_points @t1 @t3 @t15) (or (and @t5 @t17) (and @t4 @t16))))) % 0.39/0.59 (assume @p4 (forall (@list @t1 @t3 @t15) (= @t22 (and @t21 @t20 (not (or @t16 @t17)) (not (tptp.unequally_directed_lines @t1 @t19)))))) % 0.39/0.59 (assume @p5 (forall (@list @t1 @t3 @t15 @t23) (= (tptp.between_on_line @t1 @t3 @t15 @t23) (or (and @t22 (tptp.before_on_line @t1 @t15 @t23)) (and (tptp.before_on_line @t1 @t23 @t15) (tptp.before_on_line @t1 @t15 @t3)))))) % 0.39/0.59 (assume @p6 (forall (@list @t3) (not (tptp.distinct_points @t3 @t3)))) % 0.39/0.59 (assume @p7 (forall (@list @t3 @t15 @t23) (=> @t21 (or (tptp.distinct_points @t3 @t23) (tptp.distinct_points @t15 @t23))))) % 0.39/0.59 (assume @p8 (forall @t24 (not (tptp.distinct_lines @t1 @t1)))) % 0.39/0.59 (assume @p9 (forall @t27 (=> @t26 (or (tptp.distinct_lines @t1 @t25) (tptp.distinct_lines @t8 @t25))))) % 0.39/0.59 (assume @p10 (forall @t24 (not (tptp.unequally_directed_lines @t1 @t1)))) % 0.39/0.59 (assume @p11 (forall @t27 (=> @t11 (or @t29 @t28)))) % 0.39/0.59 (assume @p12 (forall @t27 (=> @t12 (or (and @t29 (tptp.unequally_directed_lines @t1 @t30)) (and @t28 (tptp.unequally_directed_lines @t8 @t30)))))) % 0.39/0.59 (assume @p13 (forall @t14 (=> (and @t32 @t31) (or @t11 @t10)))) % 0.39/0.59 (assume @p14 (forall @t14 (=> @t12 @t34))) % 0.39/0.59 (assume @p15 @t35) % 0.39/0.59 (assume @p16 (forall @t14 (not @t34))) % 0.39/0.59 (assume @p17 (forall @t37 (=> (and @t36 (tptp.point @t15) @t21) (tptp.line @t19)))) % 0.39/0.59 (assume @p18 (forall @t14 (=> (and @t32 @t31 @t11 @t10) (tptp.point @t38)))) % 0.39/0.59 (assume @p19 (forall (@list @t1 @t3) (=> (and @t36 @t32) (tptp.line @t39)))) % 0.39/0.59 (assume @p20 (forall @t24 (=> @t32 (tptp.line @t2)))) % 0.39/0.59 (assume @p21 (forall @t37 (=> @t21 (and (not (tptp.apart_point_and_line @t3 @t19)) (not (tptp.apart_point_and_line @t15 @t19)))))) % 0.39/0.59 (assume @p22 (forall @t14 (=> @t12 (and (not (tptp.apart_point_and_line @t38 @t1)) (not (tptp.apart_point_and_line @t38 @t8)))))) % 0.39/0.59 (assume @p23 (forall @t7 (not (tptp.apart_point_and_line @t3 @t39)))) % 0.39/0.59 (assume @p24 (forall @t24 (not (tptp.distinct_lines @t1 @t2)))) % 0.39/0.59 (assume @p25 (forall @t37 (not (tptp.unequally_directed_lines @t19 (tptp.reverse_line (tptp.line_connecting @t15 @t3)))))) % 0.39/0.59 (assume @p26 (forall @t7 (not (tptp.unequally_directed_lines @t39 @t1)))) % 0.39/0.59 (assume @p27 (forall (@list @t3 @t15 @t1 @t8) (=> (and @t21 @t26) (or @t5 @t16 @t42 (tptp.left_apart_point @t15 @t8) @t4 @t17 @t41 @t40)))) % 0.39/0.59 (assume @p28 (forall @t18 (=> (and @t21 @t5) (or @t16 (tptp.left_convergent_lines @t19 @t1))))) % 0.39/0.59 (assume @p29 (forall @t18 (=> @t5 (or @t21 @t16)))) % 0.39/0.59 (assume @p30 (forall (@list @t3 @t1 @t8) (=> (and @t5 @t11) (or @t26 @t41)))) % 0.39/0.59 (assume @p31 (forall @t27 (=> @t33 (or @t28 (tptp.left_convergent_lines @t1 @t25))))) % 0.39/0.59 (assume @p32 @t51) % 0.39/0.59 (assume @p33 true) % 0.39/0.59 (step @p34 :rule alpha_equiv :args (@t53 @t54 (@list (@var "BOUND_VARIABLE_7665" $$unsorted) (@var "BOUND_VARIABLE_7667" $$unsorted)))) % 0.39/0.59 (step @p35 :rule alpha_equiv :args (@t56 @t54 (@list @t58 @t57))) % 0.39/0.59 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t59)) % 0.39/0.59 (step @p37 :rule quant-miniscope-and :args ((= (forall @t7 (and @t55 @t52)) @t59))) % 0.39/0.59 (step @p38 :rule trans :premises (@p37 @p36)) % 0.39/0.59 (step @p39 :rule bool-or-de-morgan :args (@t5 @t4 false)) % 0.39/0.59 (step @p40 :rule cong :premises (@p39) :args (@t35)) % 0.39/0.59 (step @p41 :rule trans :premises (@p40 @p38)) % 0.39/0.59 (step @p42 :rule eq_resolve :premises (@p15 @p41)) % 0.39/0.59 (step @p43 :rule and_elim :premises (@p42) :args (0)) % 0.39/0.59 (step @p44 :rule aci_norm :args ((= (or @t68 @t13) @t67))) % 0.39/0.59 (step @p45 :rule refl :args (@t13)) % 0.39/0.59 (step @p46 :rule aci_norm :args ((= (or @t55 (or @t66 (or @t65 (or @t64 (or @t63 (or @t62 (or @t61 @t60))))))) @t68))) % 0.39/0.59 (step @p47 :rule bool-and-de-morgan :args (@t45 @t44 true)) % 0.39/0.59 (step @p48 :rule refl :args (@t62)) % 0.39/0.59 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t62 (not (and @t45 @t44))))) % 0.39/0.59 (step @p50 :rule bool-and-de-morgan :args (@t46 @t45 (and @t44))) % 0.39/0.59 (step @p51 :rule trans :premises (@p50 @p49)) % 0.39/0.59 (step @p52 :rule refl :args (@t63)) % 0.39/0.59 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t63 (not (and @t46 @t45 @t44))))) % 0.39/0.59 (step @p54 :rule bool-and-de-morgan :args (@t47 @t46 (and @t45 @t44))) % 0.39/0.59 (step @p55 :rule trans :premises (@p54 @p53)) % 0.39/0.59 (step @p56 :rule refl :args (@t64)) % 0.39/0.59 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t64 (not (and @t47 @t46 @t45 @t44))))) % 0.39/0.59 (step @p58 :rule bool-and-de-morgan :args (@t40 @t47 (and @t46 @t45 @t44))) % 0.39/0.59 (step @p59 :rule trans :premises (@p58 @p57)) % 0.39/0.59 (step @p60 :rule refl :args (@t65)) % 0.39/0.59 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t65 (not (and @t40 @t47 @t46 @t45 @t44))))) % 0.39/0.59 (step @p62 :rule bool-and-de-morgan :args (@t17 @t40 (and @t47 @t46 @t45 @t44))) % 0.39/0.59 (step @p63 :rule trans :premises (@p62 @p61)) % 0.39/0.59 (step @p64 :rule refl :args (@t66)) % 0.39/0.59 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t66 (not (and @t17 @t40 @t47 @t46 @t45 @t44))))) % 0.39/0.59 (step @p66 :rule bool-and-de-morgan :args (@t42 @t17 (and @t40 @t47 @t46 @t45 @t44))) % 0.39/0.59 (step @p67 :rule trans :premises (@p66 @p65)) % 0.39/0.59 (step @p68 :rule refl :args (@t55)) % 0.39/0.59 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t55 (not (and @t42 @t17 @t40 @t47 @t46 @t45 @t44))))) % 0.39/0.59 (step @p70 :rule bool-and-de-morgan :args (@t5 @t42 (and @t17 @t40 @t47 @t46 @t45 @t44))) % 0.39/0.59 (step @p71 :rule trans :premises (@p70 @p69)) % 0.39/0.59 (step @p72 :rule trans :premises (@p71 @p46)) % 0.39/0.59 (step @p73 :rule nary_cong :premises (@p72 @p45) :args ((or (not @t48) @t13))) % 0.39/0.59 (step @p74 :rule trans :premises (@p73 @p44)) % 0.39/0.59 (step @p75 :rule bool-impl-elim :args (@t48 @t13)) % 0.39/0.59 (step @p76 :rule trans :premises (@p75 @p74)) % 0.39/0.59 (step @p77 :rule cong :premises (@p76) :args (@t50)) % 0.39/0.59 (step @p78 :rule cong :premises (@p77) :args (@t51)) % 0.39/0.59 (step @p79 :rule eq_resolve :premises (@p32 @p78)) % 0.39/0.59 (step @p80 :rule skolemize :premises (@p79)) % 0.39/0.59 (step @p81 :rule bool-double-not-elim :args (@t72)) % 0.39/0.59 (step @p82 :rule refl :args (@t80)) % 0.39/0.59 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t80 (not @t79)))) % 0.39/0.59 (step @p84 :rule cnf_or_neg :args (@t80 0)) % 0.39/0.59 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.39/0.59 (step @p86 :rule reordering :premises (@p85) :args ((or @t72 @t80))) % 0.39/0.59 (step @p87 :rule chain_m_resolution :premises (@p86 @p80) :args (@t72 (@list true) (@list @t80))) % 0.39/0.59 (assume-push @p94 @t81) % 0.39/0.59 (step @p89 :rule instantiate :premises (@p43) :args ((@list @t71 @t70))) % 0.39/0.59 (step-pop @p95 :rule scope :premises (@p89)) % 0.39/0.59 (step @p90 :rule process_scope :premises (@p95) :args (@t79)) % 0.39/0.59 (step @p92 :rule implies_elim :premises (@p90)) % 0.39/0.59 (step @p93 false :rule chain_m_resolution :premises (@p92 @p87 @p43) :args (false (@list false false) (@list @t72 @t81))) % 0.39/0.59 ) % 0.39/0.59 % SZS output end Proof % 0.39/0.59 % cvc5 exiting %------------------------------------------------------------------------------