%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO233+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 : n029.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 08:16:52 AM UTC 2026 % Result : Theorem 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO233+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 % 0.16/0.33 % Computer : n029.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Mon Jun 1 23:41:17 EDT 2026 % 0.16/0.33 % CPUTime : % 0.28/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.59 % SZS status Theorem % 0.37/0.59 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort $$unsorted 0) % 0.37/0.59 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.point (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.before_on_line (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.reverse_line (-> $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.unequally_directed_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.right_convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.left_apart_point (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.right_apart_point (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.left_convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.between_on_line (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.equally_directed_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.equally_directed_opposite_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.line (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.unequally_directed_opposite_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.divides_points (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (define @t1 () (@var "Y" $$unsorted)) % 0.37/0.59 (define @t2 () (tptp.reverse_line @t1)) % 0.37/0.59 (define @t3 () (@var "X" $$unsorted)) % 0.37/0.59 (define @t4 () (tptp.unequally_directed_opposite_lines @t3 @t1)) % 0.37/0.59 (define @t5 () (@list @t3 @t1)) % 0.37/0.59 (define @t6 () (forall @t5 (= (tptp.equally_directed_lines @t3 @t1) (not (tptp.unequally_directed_lines @t3 @t1))))) % 0.37/0.59 (define @t7 () (@var "L" $$unsorted)) % 0.37/0.59 (define @t8 () (@var "A" $$unsorted)) % 0.37/0.59 (define @t9 () (tptp.right_apart_point @t8 @t7)) % 0.37/0.59 (define @t10 () (tptp.left_apart_point @t8 @t7)) % 0.37/0.59 (define @t11 () (@list @t8 @t7)) % 0.37/0.59 (define @t12 () (@var "M" $$unsorted)) % 0.37/0.59 (define @t13 () (tptp.unequally_directed_lines @t7 @t12)) % 0.37/0.59 (define @t14 () (@list @t7 @t12)) % 0.37/0.59 (define @t15 () (@var "B" $$unsorted)) % 0.37/0.59 (define @t16 () (tptp.left_apart_point @t15 @t7)) % 0.37/0.59 (define @t17 () (@list @t8 @t15 @t7)) % 0.37/0.59 (define @t18 () (tptp.line_connecting @t8 @t15)) % 0.37/0.59 (define @t19 () (tptp.distinct_points @t8 @t15)) % 0.37/0.59 (define @t20 () (tptp.before_on_line @t7 @t8 @t15)) % 0.37/0.59 (define @t21 () (@var "C" $$unsorted)) % 0.37/0.59 (define @t22 () (@list @t7)) % 0.37/0.59 (define @t23 () (@var "N" $$unsorted)) % 0.37/0.59 (define @t24 () (tptp.distinct_lines @t7 @t12)) % 0.37/0.59 (define @t25 () (@list @t7 @t12 @t23)) % 0.37/0.59 (define @t26 () (tptp.unequally_directed_lines @t12 @t23)) % 0.37/0.59 (define @t27 () (tptp.unequally_directed_lines @t7 @t23)) % 0.37/0.59 (define @t28 () (tptp.reverse_line @t23)) % 0.37/0.59 (define @t29 () (tptp.reverse_line @t12)) % 0.37/0.59 (define @t30 () (tptp.unequally_directed_lines @t7 @t29)) % 0.37/0.59 (define @t31 () (and @t13 @t30)) % 0.37/0.59 (define @t32 () (tptp.left_convergent_lines @t7 @t29)) % 0.37/0.59 (define @t33 () (tptp.left_convergent_lines @t7 @t12)) % 0.37/0.59 (define @t34 () (or @t33 @t32)) % 0.37/0.59 (define @t35 () (forall @t14 (=> @t31 @t34))) % 0.37/0.59 (define @t36 () (tptp.reverse_line @t7)) % 0.37/0.59 (define @t37 () (tptp.left_apart_point @t8 @t36)) % 0.37/0.59 (define @t38 () (forall @t14 (not @t34))) % 0.37/0.59 (define @t39 () (tptp.point @t8)) % 0.37/0.59 (define @t40 () (@list @t8 @t15)) % 0.37/0.59 (define @t41 () (tptp.intersection_point @t7 @t12)) % 0.37/0.59 (define @t42 () (tptp.line @t7)) % 0.37/0.59 (define @t43 () (tptp.parallel_through_point @t7 @t8)) % 0.37/0.59 (define @t44 () (tptp.left_apart_point @t8 @t29)) % 0.37/0.59 (define @t45 () (forall @t22 (tptp.equally_directed_lines (tptp.reverse_line @t36) @t7))) % 0.37/0.59 (define @t46 () (not @t32)) % 0.37/0.59 (define @t47 () (forall @t14 @t46)) % 0.37/0.59 (define @t48 () (@list @t7 @t12)) % 0.37/0.59 (define @t49 () (not @t33)) % 0.37/0.59 (define @t50 () (forall @t14 @t49)) % 0.37/0.59 (define @t51 () (@var "BOUND_VARIABLE_7693" $$unsorted)) % 0.37/0.59 (define @t52 () (@var "BOUND_VARIABLE_7691" $$unsorted)) % 0.37/0.59 (define @t53 () (and @t50 @t47)) % 0.37/0.59 (define @t54 () (not @t30)) % 0.37/0.59 (define @t55 () (not @t13)) % 0.37/0.59 (define @t56 () (@quantifiers_skolemize @t45 0)) % 0.37/0.59 (define @t57 () (tptp.reverse_line @t56)) % 0.37/0.59 (define @t58 () (tptp.reverse_line @t57)) % 0.37/0.59 (define @t59 () (@list @t58 @t56)) % 0.37/0.59 (define @t60 () (@list @t58 @t57)) % 0.37/0.59 (define @t61 () (tptp.equally_directed_lines @t58 @t58)) % 0.37/0.59 (define @t62 () (tptp.unequally_directed_lines @t58 @t58)) % 0.37/0.59 (define @t63 () (not @t62)) % 0.37/0.59 (define @t64 () (= @t61 @t63)) % 0.37/0.59 (define @t65 () (= @t63 @t61)) % 0.37/0.59 (define @t66 () (@list false false)) % 0.37/0.59 (define @t67 () (tptp.unequally_directed_lines @t58 @t57)) % 0.37/0.59 (define @t68 () (or @t67 @t62)) % 0.37/0.59 (define @t69 () (@list true false)) % 0.37/0.59 (define @t70 () (tptp.unequally_directed_lines @t58 @t56)) % 0.37/0.59 (define @t71 () (tptp.equally_directed_lines @t58 @t56)) % 0.37/0.59 (define @t72 () (not @t70)) % 0.37/0.59 (define @t73 () (= @t71 @t72)) % 0.37/0.59 (define @t74 () (not @t73)) % 0.37/0.59 (define @t75 () (tptp.left_convergent_lines @t58 @t57)) % 0.37/0.59 (define @t76 () (tptp.left_convergent_lines @t58 @t56)) % 0.37/0.59 (define @t77 () (not @t67)) % 0.37/0.59 (define @t78 () (or @t72 @t77 @t76 @t75)) % 0.37/0.59 (define @t79 () (forall (@list @t52 @t51) (not (tptp.left_convergent_lines @t52 @t51)))) % 0.37/0.59 (assume @p1 (forall @t5 (= @t4 (tptp.unequally_directed_lines @t3 @t2)))) % 0.37/0.59 (assume @p2 (forall @t5 (= (tptp.right_apart_point @t3 @t1) (tptp.left_apart_point @t3 @t2)))) % 0.37/0.59 (assume @p3 (forall @t5 (= (tptp.right_convergent_lines @t3 @t1) (tptp.left_convergent_lines @t3 @t2)))) % 0.37/0.59 (assume @p4 @t6) % 0.37/0.59 (assume @p5 (forall @t5 (= (tptp.equally_directed_opposite_lines @t3 @t1) (not @t4)))) % 0.37/0.59 (assume @p6 (forall @t11 (= (tptp.apart_point_and_line @t8 @t7) (or @t10 @t9)))) % 0.37/0.59 (assume @p7 (forall @t14 (= (tptp.convergent_lines @t7 @t12) (and @t13 (tptp.unequally_directed_opposite_lines @t7 @t12))))) % 0.37/0.59 (assume @p8 (forall @t17 (= (tptp.divides_points @t7 @t8 @t15) (or (and @t10 (tptp.right_apart_point @t15 @t7)) (and @t9 @t16))))) % 0.37/0.59 (assume @p9 (forall (@list @t7 @t8 @t15) (= @t20 (and @t19 (tptp.incident_point_and_line @t8 @t7) (tptp.incident_point_and_line @t15 @t7) (tptp.equally_directed_lines @t7 @t18))))) % 0.37/0.59 (assume @p10 (forall (@list @t7 @t8 @t15 @t21) (= (tptp.between_on_line @t7 @t8 @t15 @t21) (or (and @t20 (tptp.before_on_line @t7 @t15 @t21)) (and (tptp.before_on_line @t7 @t21 @t15) (tptp.before_on_line @t7 @t15 @t8)))))) % 0.37/0.59 (assume @p11 (forall (@list @t8) (not (tptp.distinct_points @t8 @t8)))) % 0.37/0.59 (assume @p12 (forall (@list @t8 @t15 @t21) (=> @t19 (or (tptp.distinct_points @t8 @t21) (tptp.distinct_points @t15 @t21))))) % 0.37/0.59 (assume @p13 (forall @t22 (not (tptp.distinct_lines @t7 @t7)))) % 0.37/0.59 (assume @p14 (forall @t25 (=> @t24 (or (tptp.distinct_lines @t7 @t23) (tptp.distinct_lines @t12 @t23))))) % 0.37/0.59 (assume @p15 (forall @t22 (tptp.equally_directed_lines @t7 @t7))) % 0.37/0.59 (assume @p16 (forall @t25 (=> @t13 (or @t27 @t26)))) % 0.37/0.59 (assume @p17 (forall @t25 (=> @t31 (or (and @t27 (tptp.unequally_directed_lines @t7 @t28)) (and @t26 (tptp.unequally_directed_lines @t12 @t28)))))) % 0.37/0.59 (assume @p18 (forall @t14 (or @t13 @t30))) % 0.37/0.59 (assume @p19 @t35) % 0.37/0.59 (assume @p20 (forall @t11 (not (or @t10 @t37)))) % 0.37/0.59 (assume @p21 @t38) % 0.37/0.59 (assume @p22 (forall @t40 (=> (and @t39 (tptp.point @t15) @t19) (tptp.line @t18)))) % 0.37/0.59 (assume @p23 (forall @t14 (=> (and @t42 (tptp.line @t12) @t13 @t30) (tptp.point @t41)))) % 0.37/0.59 (assume @p24 (forall (@list @t7 @t8) (=> (and @t39 @t42) (tptp.line @t43)))) % 0.37/0.59 (assume @p25 (forall @t22 (=> @t42 (tptp.line @t36)))) % 0.37/0.59 (assume @p26 (forall @t40 (=> @t19 (and (not (tptp.apart_point_and_line @t8 @t18)) (not (tptp.apart_point_and_line @t15 @t18)))))) % 0.37/0.59 (assume @p27 (forall @t14 (=> @t31 (and (not (tptp.apart_point_and_line @t41 @t7)) (not (tptp.apart_point_and_line @t41 @t12)))))) % 0.37/0.59 (assume @p28 (forall @t11 (not (tptp.apart_point_and_line @t8 @t43)))) % 0.37/0.59 (assume @p29 (forall @t22 (not (tptp.distinct_lines @t7 @t36)))) % 0.37/0.59 (assume @p30 (forall @t40 (=> @t19 (tptp.equally_directed_lines @t18 (tptp.reverse_line (tptp.line_connecting @t15 @t8)))))) % 0.37/0.59 (assume @p31 (forall @t11 (tptp.equally_directed_lines @t43 @t7))) % 0.37/0.59 (assume @p32 (forall (@list @t8 @t15 @t7 @t12) (=> (and @t19 @t24) (or @t10 @t16 (tptp.left_apart_point @t8 @t12) (tptp.left_apart_point @t15 @t12) @t37 (tptp.left_apart_point @t15 @t36) @t44 (tptp.left_apart_point @t15 @t29))))) % 0.37/0.59 (assume @p33 (forall @t17 (=> (and @t19 @t10) (or @t16 (tptp.left_convergent_lines @t18 @t7))))) % 0.37/0.59 (assume @p34 (forall @t17 (=> @t10 (or @t19 @t16)))) % 0.37/0.59 (assume @p35 (forall (@list @t8 @t7 @t12) (=> (and @t10 @t13) (or @t24 @t44)))) % 0.37/0.59 (assume @p36 (forall @t25 (=> @t33 (or @t26 (tptp.left_convergent_lines @t7 @t23))))) % 0.37/0.59 (assume @p37 (not @t45)) % 0.37/0.59 (assume @p38 true) % 0.37/0.59 (step @p39 :rule alpha_equiv :args (@t47 @t48 (@list (@var "BOUND_VARIABLE_7699" $$unsorted) (@var "BOUND_VARIABLE_7701" $$unsorted)))) % 0.37/0.59 (step @p40 :rule alpha_equiv :args (@t50 @t48 (@list @t52 @t51))) % 0.37/0.59 (step @p41 :rule nary_cong :premises (@p40 @p39) :args (@t53)) % 0.37/0.59 (step @p42 :rule quant-miniscope-and :args ((= (forall @t14 (and @t49 @t46)) @t53))) % 0.37/0.59 (step @p43 :rule trans :premises (@p42 @p41)) % 0.37/0.59 (step @p44 :rule bool-or-de-morgan :args (@t33 @t32 false)) % 0.37/0.59 (step @p45 :rule cong :premises (@p44) :args (@t38)) % 0.37/0.59 (step @p46 :rule trans :premises (@p45 @p43)) % 0.37/0.59 (step @p47 :rule eq_resolve :premises (@p21 @p46)) % 0.37/0.59 (step @p48 :rule and_elim :premises (@p47) :args (0)) % 0.37/0.59 (step @p49 :rule aci_norm :args ((= (or (or @t55 @t54) @t34) (or @t55 @t54 @t33 @t32)))) % 0.37/0.59 (step @p50 :rule refl :args (@t34)) % 0.37/0.59 (step @p51 :rule bool-and-de-morgan :args (@t13 @t30 true)) % 0.37/0.59 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or (not @t31) @t34))) % 0.37/0.59 (step @p53 :rule trans :premises (@p52 @p49)) % 0.37/0.59 (step @p54 :rule bool-impl-elim :args (@t31 @t34)) % 0.37/0.59 (step @p55 :rule trans :premises (@p54 @p53)) % 0.37/0.59 (step @p56 :rule cong :premises (@p55) :args (@t35)) % 0.37/0.59 (step @p57 :rule eq_resolve :premises (@p19 @p56)) % 0.37/0.59 (step @p58 :rule instantiate :premises (@p57) :args (@t59)) % 0.37/0.59 (step @p59 :rule instantiate :premises (@p48) :args (@t59)) % 0.37/0.59 (step @p60 :rule instantiate :premises (@p18) :args (@t60)) % 0.37/0.59 (step @p61 :rule eq-symm :args (@t61 @t63)) % 0.37/0.59 (step @p62 :rule refl :args (@t6)) % 0.37/0.59 (step @p63 :rule cong :premises (@p62 @p61) :args ((=> @t6 @t64))) % 0.37/0.59 (assume-push @p97 @t6) % 0.37/0.59 (step @p65 :rule instantiate :premises (@p4) :args ((@list @t58 @t58))) % 0.37/0.59 (step-pop @p98 :rule scope :premises (@p65)) % 0.37/0.59 (step @p66 :rule process_scope :premises (@p98) :args (@t64)) % 0.37/0.59 (step @p68 :rule eq_resolve :premises (@p66 @p63)) % 0.37/0.59 (step @p69 :rule implies_elim :premises (@p68)) % 0.37/0.59 (step @p70 :rule chain_m_resolution :premises (@p69 @p4) :args (@t65 (@list false) (@list @t6))) % 0.37/0.59 (step @p71 :rule instantiate :premises (@p15) :args ((@list @t58))) % 0.37/0.59 (step @p72 :rule cnf_equiv_pos2 :args (@t65)) % 0.37/0.59 (step @p73 :rule reordering :premises (@p72) :args ((or @t63 (not @t61) (not @t65)))) % 0.37/0.59 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p70) :args (@t63 @t66 (@list @t61 @t65))) % 0.37/0.59 (step @p75 :rule cnf_or_pos :args (@t68)) % 0.37/0.59 (step @p76 :rule reordering :premises (@p75) :args ((or @t67 @t62 (not @t68)))) % 0.37/0.59 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p60) :args (@t67 @t69 (@list @t62 @t68))) % 0.37/0.59 (step @p78 :rule instantiate :premises (@p4) :args (@t59)) % 0.37/0.59 (step @p79 :rule skolemize :premises (@p37)) % 0.37/0.59 (step @p80 :rule bool-double-not-elim :args (@t70)) % 0.37/0.59 (step @p81 :rule refl :args (@t71)) % 0.37/0.59 (step @p82 :rule refl :args (@t74)) % 0.37/0.59 (step @p83 :rule nary_cong :premises (@p82 @p81 @p80) :args ((or @t74 @t71 (not @t72)))) % 0.37/0.59 (step @p84 :rule cnf_equiv_pos2 :args (@t73)) % 0.37/0.59 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.37/0.59 (step @p86 :rule reordering :premises (@p85) :args ((or @t71 @t70 @t74))) % 0.37/0.59 (step @p87 :rule chain_m_resolution :premises (@p86 @p79 @p78) :args (@t70 @t69 (@list @t71 @t73))) % 0.37/0.59 (step @p88 :rule cnf_or_pos :args (@t78)) % 0.37/0.59 (step @p89 :rule reordering :premises (@p88) :args ((or @t72 @t77 @t76 @t75 (not @t78)))) % 0.37/0.59 (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p77 @p59 @p58) :args (@t75 (@list false false true false) (@list @t70 @t67 @t76 @t78))) % 0.37/0.59 (assume-push @p99 @t79) % 0.37/0.59 (step @p92 :rule instantiate :premises (@p48) :args (@t60)) % 0.37/0.59 (step-pop @p100 :rule scope :premises (@p92)) % 0.37/0.59 (step @p93 :rule process_scope :premises (@p100) :args ((not @t75))) % 0.37/0.59 (step @p95 :rule implies_elim :premises (@p93)) % 0.37/0.59 (step @p96 false :rule chain_m_resolution :premises (@p95 @p90 @p48) :args (false @t66 (@list @t75 @t79))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------