%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO257+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 : n005.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 0.36s 0.60s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO257+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 % 0.17/0.35 % Computer : n005.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Mon Jun 1 23:41:33 EDT 2026 % 0.17/0.35 % CPUTime : % 0.26/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.60 % SZS status Theorem % 0.36/0.60 % SZS output start Proof % 0.36/0.60 ( % 0.36/0.60 (declare-sort $$unsorted 0) % 0.36/0.60 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.left_apart_point (-> $$unsorted $$unsorted Bool)) % 0.36/0.60 (declare-const tptp.point (-> $$unsorted Bool)) % 0.36/0.60 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.36/0.60 (declare-const tptp.unequally_directed_lines (-> $$unsorted $$unsorted Bool)) % 0.36/0.60 (declare-const tptp.between_on_line (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.60 (declare-const tptp.line (-> $$unsorted Bool)) % 0.36/0.60 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.36/0.60 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.reverse_line (-> $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.36/0.60 (declare-const tptp.before_on_line (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.60 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.36/0.60 (declare-const tptp.divides_points (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.60 (declare-const tptp.left_convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.36/0.60 (define @t1 () (@var "L" $$unsorted)) % 0.36/0.60 (define @t2 () (tptp.reverse_line @t1)) % 0.36/0.60 (define @t3 () (@var "A" $$unsorted)) % 0.36/0.60 (define @t4 () (tptp.left_apart_point @t3 @t2)) % 0.36/0.60 (define @t5 () (tptp.left_apart_point @t3 @t1)) % 0.36/0.60 (define @t6 () (or @t5 @t4)) % 0.36/0.60 (define @t7 () (@list @t3 @t1)) % 0.36/0.60 (define @t8 () (@var "M" $$unsorted)) % 0.36/0.60 (define @t9 () (tptp.reverse_line @t8)) % 0.36/0.60 (define @t10 () (tptp.unequally_directed_lines @t1 @t9)) % 0.36/0.60 (define @t11 () (tptp.unequally_directed_lines @t1 @t8)) % 0.36/0.60 (define @t12 () (and @t11 @t10)) % 0.36/0.60 (define @t13 () (@list @t1 @t8)) % 0.36/0.60 (define @t14 () (@var "B" $$unsorted)) % 0.36/0.60 (define @t15 () (tptp.left_apart_point @t14 @t1)) % 0.36/0.60 (define @t16 () (tptp.left_apart_point @t14 @t2)) % 0.36/0.60 (define @t17 () (@list @t3 @t14 @t1)) % 0.36/0.60 (define @t18 () (tptp.line_connecting @t3 @t14)) % 0.36/0.60 (define @t19 () (not @t6)) % 0.36/0.60 (define @t20 () (tptp.distinct_points @t3 @t14)) % 0.36/0.60 (define @t21 () (tptp.before_on_line @t1 @t3 @t14)) % 0.36/0.60 (define @t22 () (@var "C" $$unsorted)) % 0.36/0.60 (define @t23 () (tptp.before_on_line @t1 @t14 @t22)) % 0.36/0.60 (define @t24 () (and @t21 @t23)) % 0.36/0.60 (define @t25 () (tptp.distinct_points @t14 @t22)) % 0.36/0.60 (define @t26 () (tptp.distinct_points @t3 @t22)) % 0.36/0.60 (define @t27 () (@list @t1)) % 0.36/0.60 (define @t28 () (@var "N" $$unsorted)) % 0.36/0.60 (define @t29 () (tptp.distinct_lines @t1 @t8)) % 0.36/0.60 (define @t30 () (@list @t1 @t8 @t28)) % 0.36/0.60 (define @t31 () (tptp.unequally_directed_lines @t8 @t28)) % 0.36/0.60 (define @t32 () (tptp.unequally_directed_lines @t1 @t28)) % 0.36/0.60 (define @t33 () (tptp.reverse_line @t28)) % 0.36/0.60 (define @t34 () (tptp.line @t8)) % 0.36/0.60 (define @t35 () (tptp.line @t1)) % 0.36/0.60 (define @t36 () (tptp.left_convergent_lines @t1 @t8)) % 0.36/0.60 (define @t37 () (or @t36 (tptp.left_convergent_lines @t1 @t9))) % 0.36/0.60 (define @t38 () (forall @t7 @t19)) % 0.36/0.60 (define @t39 () (tptp.point @t3)) % 0.36/0.60 (define @t40 () (@list @t3 @t14)) % 0.36/0.60 (define @t41 () (tptp.intersection_point @t1 @t8)) % 0.36/0.60 (define @t42 () (tptp.parallel_through_point @t1 @t3)) % 0.36/0.60 (define @t43 () (tptp.left_apart_point @t3 @t9)) % 0.36/0.60 (define @t44 () (tptp.before_on_line @t1 @t3 @t22)) % 0.36/0.60 (define @t45 () (=> @t24 @t44)) % 0.36/0.60 (define @t46 () (@var "D" $$unsorted)) % 0.36/0.60 (define @t47 () (tptp.left_apart_point @t46 @t1)) % 0.36/0.60 (define @t48 () (tptp.apart_point_and_line @t22 @t1)) % 0.36/0.60 (define @t49 () (not @t48)) % 0.36/0.60 (define @t50 () (and @t26 @t25 @t49 @t47)) % 0.36/0.60 (define @t51 () (@list @t1 @t3 @t14 @t22 @t46)) % 0.36/0.60 (define @t52 () (forall @t51 (=> @t50 @t45))) % 0.36/0.60 (define @t53 () (not @t52)) % 0.36/0.60 (define @t54 () (not @t4)) % 0.36/0.60 (define @t55 () (forall @t7 @t54)) % 0.36/0.60 (define @t56 () (@list @t3 @t1)) % 0.36/0.60 (define @t57 () (not @t5)) % 0.36/0.60 (define @t58 () (forall @t7 @t57)) % 0.36/0.60 (define @t59 () (@var "BOUND_VARIABLE_7660" $$unsorted)) % 0.36/0.60 (define @t60 () (@var "BOUND_VARIABLE_7658" $$unsorted)) % 0.36/0.60 (define @t61 () (and @t58 @t55)) % 0.36/0.60 (define @t62 () (not @t23)) % 0.36/0.60 (define @t63 () (not @t21)) % 0.36/0.60 (define @t64 () (not @t47)) % 0.36/0.60 (define @t65 () (not @t25)) % 0.36/0.60 (define @t66 () (not @t26)) % 0.36/0.60 (define @t67 () (or @t66 @t65 @t48 @t64 @t63 @t62 @t44)) % 0.36/0.60 (define @t68 () (or @t63 @t62 @t44)) % 0.36/0.60 (define @t69 () (not @t49)) % 0.36/0.60 (define @t70 () (or @t66 @t65 @t69 @t64)) % 0.36/0.60 (define @t71 () (forall @t51 @t67)) % 0.36/0.60 (define @t72 () (@quantifiers_skolemize @t71 0)) % 0.36/0.60 (define @t73 () (@quantifiers_skolemize @t71 4)) % 0.36/0.60 (define @t74 () (tptp.left_apart_point @t73 @t72)) % 0.36/0.60 (define @t75 () (@quantifiers_skolemize @t71 3)) % 0.36/0.60 (define @t76 () (@quantifiers_skolemize @t71 1)) % 0.36/0.60 (define @t77 () (@quantifiers_skolemize @t71 2)) % 0.36/0.60 (define @t78 () (not @t74)) % 0.36/0.60 (define @t79 () (or (not (tptp.distinct_points @t76 @t75)) (not (tptp.distinct_points @t77 @t75)) (tptp.apart_point_and_line @t75 @t72) @t78 (not (tptp.before_on_line @t72 @t76 @t77)) (not (tptp.before_on_line @t72 @t77 @t75)) (tptp.before_on_line @t72 @t76 @t75))) % 0.36/0.60 (define @t80 () (forall (@list @t60 @t59) (not (tptp.left_apart_point @t60 @t59)))) % 0.36/0.60 (assume @p1 (forall @t7 (= (tptp.apart_point_and_line @t3 @t1) @t6))) % 0.36/0.60 (assume @p2 (forall @t13 (= (tptp.convergent_lines @t1 @t8) @t12))) % 0.36/0.60 (assume @p3 (forall @t17 (= (tptp.divides_points @t1 @t3 @t14) (or (and @t5 @t16) (and @t4 @t15))))) % 0.36/0.60 (assume @p4 (forall (@list @t1 @t3 @t14) (= @t21 (and @t20 @t19 (not (or @t15 @t16)) (not (tptp.unequally_directed_lines @t1 @t18)))))) % 0.36/0.60 (assume @p5 (forall (@list @t1 @t3 @t14 @t22) (= (tptp.between_on_line @t1 @t3 @t14 @t22) (or @t24 (and (tptp.before_on_line @t1 @t22 @t14) (tptp.before_on_line @t1 @t14 @t3)))))) % 0.36/0.60 (assume @p6 (forall (@list @t3) (not (tptp.distinct_points @t3 @t3)))) % 0.36/0.60 (assume @p7 (forall (@list @t3 @t14 @t22) (=> @t20 (or @t26 @t25)))) % 0.36/0.60 (assume @p8 (forall @t27 (not (tptp.distinct_lines @t1 @t1)))) % 0.36/0.60 (assume @p9 (forall @t30 (=> @t29 (or (tptp.distinct_lines @t1 @t28) (tptp.distinct_lines @t8 @t28))))) % 0.36/0.60 (assume @p10 (forall @t27 (not (tptp.unequally_directed_lines @t1 @t1)))) % 0.36/0.60 (assume @p11 (forall @t30 (=> @t11 (or @t32 @t31)))) % 0.36/0.60 (assume @p12 (forall @t30 (=> @t12 (or (and @t32 (tptp.unequally_directed_lines @t1 @t33)) (and @t31 (tptp.unequally_directed_lines @t8 @t33)))))) % 0.36/0.60 (assume @p13 (forall @t13 (=> (and @t35 @t34) (or @t11 @t10)))) % 0.36/0.60 (assume @p14 (forall @t13 (=> @t12 @t37))) % 0.36/0.60 (assume @p15 @t38) % 0.36/0.60 (assume @p16 (forall @t13 (not @t37))) % 0.36/0.60 (assume @p17 (forall @t40 (=> (and @t39 (tptp.point @t14) @t20) (tptp.line @t18)))) % 0.36/0.60 (assume @p18 (forall @t13 (=> (and @t35 @t34 @t11 @t10) (tptp.point @t41)))) % 0.36/0.60 (assume @p19 (forall (@list @t1 @t3) (=> (and @t39 @t35) (tptp.line @t42)))) % 0.36/0.60 (assume @p20 (forall @t27 (=> @t35 (tptp.line @t2)))) % 0.36/0.60 (assume @p21 (forall @t40 (=> @t20 (and (not (tptp.apart_point_and_line @t3 @t18)) (not (tptp.apart_point_and_line @t14 @t18)))))) % 0.36/0.60 (assume @p22 (forall @t13 (=> @t12 (and (not (tptp.apart_point_and_line @t41 @t1)) (not (tptp.apart_point_and_line @t41 @t8)))))) % 0.36/0.60 (assume @p23 (forall @t7 (not (tptp.apart_point_and_line @t3 @t42)))) % 0.36/0.60 (assume @p24 (forall @t27 (not (tptp.distinct_lines @t1 @t2)))) % 0.36/0.60 (assume @p25 (forall @t40 (not (tptp.unequally_directed_lines @t18 (tptp.reverse_line (tptp.line_connecting @t14 @t3)))))) % 0.36/0.60 (assume @p26 (forall @t7 (not (tptp.unequally_directed_lines @t42 @t1)))) % 0.36/0.60 (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 @t43 (tptp.left_apart_point @t14 @t9))))) % 0.36/0.60 (assume @p28 (forall @t17 (=> (and @t20 @t5) (or @t15 (tptp.left_convergent_lines @t18 @t1))))) % 0.36/0.60 (assume @p29 (forall @t17 (=> @t5 (or @t20 @t15)))) % 0.36/0.60 (assume @p30 (forall (@list @t3 @t1 @t8) (=> (and @t5 @t11) (or @t29 @t43)))) % 0.36/0.60 (assume @p31 (forall @t30 (=> @t36 (or @t31 (tptp.left_convergent_lines @t1 @t28))))) % 0.36/0.60 (assume @p32 @t53) % 0.36/0.60 (assume @p33 true) % 0.36/0.60 (step @p34 :rule alpha_equiv :args (@t55 @t56 (@list (@var "BOUND_VARIABLE_7666" $$unsorted) (@var "BOUND_VARIABLE_7668" $$unsorted)))) % 0.36/0.60 (step @p35 :rule alpha_equiv :args (@t58 @t56 (@list @t60 @t59))) % 0.36/0.60 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t61)) % 0.36/0.60 (step @p37 :rule quant-miniscope-and :args ((= (forall @t7 (and @t57 @t54)) @t61))) % 0.36/0.60 (step @p38 :rule trans :premises (@p37 @p36)) % 0.36/0.60 (step @p39 :rule bool-or-de-morgan :args (@t5 @t4 false)) % 0.36/0.60 (step @p40 :rule cong :premises (@p39) :args (@t38)) % 0.36/0.60 (step @p41 :rule trans :premises (@p40 @p38)) % 0.36/0.60 (step @p42 :rule eq_resolve :premises (@p15 @p41)) % 0.36/0.60 (step @p43 :rule and_elim :premises (@p42) :args (0)) % 0.36/0.60 (step @p44 :rule aci_norm :args ((= (or (or @t66 @t65 @t48 @t64) @t68) @t67))) % 0.36/0.60 (step @p45 :rule aci_norm :args ((= (or (or @t63 @t62) @t44) @t68))) % 0.36/0.60 (step @p46 :rule refl :args (@t44)) % 0.36/0.60 (step @p47 :rule bool-and-de-morgan :args (@t21 @t23 true)) % 0.36/0.60 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or (not @t24) @t44))) % 0.36/0.60 (step @p49 :rule trans :premises (@p48 @p45)) % 0.36/0.60 (step @p50 :rule bool-impl-elim :args (@t24 @t44)) % 0.36/0.60 (step @p51 :rule trans :premises (@p50 @p49)) % 0.36/0.60 (step @p52 :rule refl :args (@t64)) % 0.36/0.60 (step @p53 :rule bool-double-not-elim :args (@t48)) % 0.36/0.60 (step @p54 :rule refl :args (@t65)) % 0.36/0.60 (step @p55 :rule refl :args (@t66)) % 0.36/0.60 (step @p56 :rule nary_cong :premises (@p55 @p54 @p53 @p52) :args (@t70)) % 0.36/0.60 (step @p57 :rule aci_norm :args ((= (or @t66 (or @t65 (or @t69 @t64))) @t70))) % 0.36/0.60 (step @p58 :rule trans :premises (@p57 @p56)) % 0.36/0.60 (step @p59 :rule bool-and-de-morgan :args (@t49 @t47 true)) % 0.36/0.60 (step @p60 :rule nary_cong :premises (@p54 @p59) :args ((or @t65 (not (and @t49 @t47))))) % 0.36/0.60 (step @p61 :rule bool-and-de-morgan :args (@t25 @t49 (and @t47))) % 0.36/0.60 (step @p62 :rule trans :premises (@p61 @p60)) % 0.36/0.60 (step @p63 :rule nary_cong :premises (@p55 @p62) :args ((or @t66 (not (and @t25 @t49 @t47))))) % 0.36/0.60 (step @p64 :rule bool-and-de-morgan :args (@t26 @t25 (and @t49 @t47))) % 0.36/0.60 (step @p65 :rule trans :premises (@p64 @p63)) % 0.36/0.60 (step @p66 :rule trans :premises (@p65 @p58)) % 0.36/0.60 (step @p67 :rule nary_cong :premises (@p66 @p51) :args ((or (not @t50) @t45))) % 0.36/0.60 (step @p68 :rule trans :premises (@p67 @p44)) % 0.36/0.60 (step @p69 :rule bool-impl-elim :args (@t50 @t45)) % 0.36/0.60 (step @p70 :rule trans :premises (@p69 @p68)) % 0.36/0.60 (step @p71 :rule cong :premises (@p70) :args (@t52)) % 0.36/0.60 (step @p72 :rule cong :premises (@p71) :args (@t53)) % 0.36/0.60 (step @p73 :rule eq_resolve :premises (@p32 @p72)) % 0.36/0.60 (step @p74 :rule skolemize :premises (@p73)) % 0.36/0.60 (step @p75 :rule bool-double-not-elim :args (@t74)) % 0.36/0.60 (step @p76 :rule refl :args (@t79)) % 0.36/0.60 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or @t79 (not @t78)))) % 0.36/0.60 (step @p78 :rule cnf_or_neg :args (@t79 3)) % 0.36/0.60 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 0.36/0.60 (step @p80 :rule reordering :premises (@p79) :args ((or @t74 @t79))) % 0.36/0.60 (step @p81 :rule chain_m_resolution :premises (@p80 @p74) :args (@t74 (@list true) (@list @t79))) % 0.36/0.60 (assume-push @p88 @t80) % 0.36/0.60 (step @p83 :rule instantiate :premises (@p43) :args ((@list @t73 @t72))) % 0.36/0.60 (step-pop @p89 :rule scope :premises (@p83)) % 0.36/0.60 (step @p84 :rule process_scope :premises (@p89) :args (@t78)) % 0.36/0.60 (step @p86 :rule implies_elim :premises (@p84)) % 0.36/0.60 (step @p87 false :rule chain_m_resolution :premises (@p86 @p81 @p43) :args (false (@list false false) (@list @t74 @t80))) % 0.36/0.60 ) % 0.36/0.60 % SZS output end Proof % 0.36/0.60 % cvc5 exiting %------------------------------------------------------------------------------