%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO227+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 : n011.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 08:16:51 AM UTC 2026 % Result : Theorem 0.30s 0.55s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : GEO227+1 : TPTP v9.2.1. Bugfixed v6.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n011.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 23:40:35 EDT 2026 % 0.16/0.33 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.55 % SZS status Theorem % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort $$unsorted 0) % 0.30/0.55 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.left_apart_point (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.point (-> $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.unequally_directed_lines (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.between_on_line (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.line (-> $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.reverse_line (-> $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.before_on_line (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.divides_points (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.left_convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (define @t1 () (@var "L" $$unsorted)) % 0.30/0.55 (define @t2 () (tptp.reverse_line @t1)) % 0.30/0.55 (define @t3 () (@var "A" $$unsorted)) % 0.30/0.55 (define @t4 () (tptp.left_apart_point @t3 @t2)) % 0.30/0.55 (define @t5 () (tptp.left_apart_point @t3 @t1)) % 0.30/0.55 (define @t6 () (or @t5 @t4)) % 0.30/0.55 (define @t7 () (@list @t3 @t1)) % 0.30/0.55 (define @t8 () (@var "M" $$unsorted)) % 0.30/0.55 (define @t9 () (tptp.reverse_line @t8)) % 0.30/0.55 (define @t10 () (tptp.unequally_directed_lines @t1 @t9)) % 0.30/0.55 (define @t11 () (tptp.unequally_directed_lines @t1 @t8)) % 0.30/0.55 (define @t12 () (and @t11 @t10)) % 0.30/0.55 (define @t13 () (@list @t1 @t8)) % 0.30/0.55 (define @t14 () (@var "B" $$unsorted)) % 0.30/0.55 (define @t15 () (tptp.left_apart_point @t14 @t1)) % 0.30/0.55 (define @t16 () (tptp.left_apart_point @t14 @t2)) % 0.30/0.55 (define @t17 () (@list @t3 @t14 @t1)) % 0.30/0.55 (define @t18 () (tptp.line_connecting @t3 @t14)) % 0.30/0.55 (define @t19 () (not @t6)) % 0.30/0.55 (define @t20 () (tptp.distinct_points @t3 @t14)) % 0.30/0.55 (define @t21 () (tptp.before_on_line @t1 @t3 @t14)) % 0.30/0.55 (define @t22 () (@var "C" $$unsorted)) % 0.30/0.55 (define @t23 () (@list @t1)) % 0.30/0.55 (define @t24 () (@var "N" $$unsorted)) % 0.30/0.55 (define @t25 () (tptp.distinct_lines @t1 @t8)) % 0.30/0.55 (define @t26 () (@list @t1 @t8 @t24)) % 0.30/0.55 (define @t27 () (tptp.unequally_directed_lines @t8 @t24)) % 0.30/0.55 (define @t28 () (tptp.unequally_directed_lines @t1 @t24)) % 0.30/0.55 (define @t29 () (tptp.reverse_line @t24)) % 0.30/0.55 (define @t30 () (or @t11 @t10)) % 0.30/0.55 (define @t31 () (tptp.line @t8)) % 0.30/0.55 (define @t32 () (tptp.line @t1)) % 0.30/0.55 (define @t33 () (and @t32 @t31)) % 0.30/0.55 (define @t34 () (forall @t13 (=> @t33 @t30))) % 0.30/0.55 (define @t35 () (tptp.left_convergent_lines @t1 @t8)) % 0.30/0.55 (define @t36 () (or @t35 (tptp.left_convergent_lines @t1 @t9))) % 0.30/0.55 (define @t37 () (tptp.point @t3)) % 0.30/0.55 (define @t38 () (@list @t3 @t14)) % 0.30/0.55 (define @t39 () (tptp.intersection_point @t1 @t8)) % 0.30/0.55 (define @t40 () (tptp.parallel_through_point @t1 @t3)) % 0.30/0.55 (define @t41 () (tptp.left_apart_point @t3 @t9)) % 0.30/0.55 (define @t42 () (not @t10)) % 0.30/0.55 (define @t43 () (not @t11)) % 0.30/0.55 (define @t44 () (not (and @t43 @t42))) % 0.30/0.55 (define @t45 () (forall @t13 (=> @t33 @t44))) % 0.30/0.55 (define @t46 () (not @t45)) % 0.30/0.55 (define @t47 () (not @t31)) % 0.30/0.55 (define @t48 () (not @t32)) % 0.30/0.55 (define @t49 () (or @t48 @t47 @t11 @t10)) % 0.30/0.55 (define @t50 () (not @t33)) % 0.30/0.55 (assume @p1 (forall @t7 (= (tptp.apart_point_and_line @t3 @t1) @t6))) % 0.30/0.55 (assume @p2 (forall @t13 (= (tptp.convergent_lines @t1 @t8) @t12))) % 0.30/0.55 (assume @p3 (forall @t17 (= (tptp.divides_points @t1 @t3 @t14) (or (and @t5 @t16) (and @t4 @t15))))) % 0.30/0.55 (assume @p4 (forall (@list @t1 @t3 @t14) (= @t21 (and @t20 @t19 (not (or @t15 @t16)) (not (tptp.unequally_directed_lines @t1 @t18)))))) % 0.30/0.55 (assume @p5 (forall (@list @t1 @t3 @t14 @t22) (= (tptp.between_on_line @t1 @t3 @t14 @t22) (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)))))) % 0.30/0.55 (assume @p6 (forall (@list @t3) (not (tptp.distinct_points @t3 @t3)))) % 0.30/0.55 (assume @p7 (forall (@list @t3 @t14 @t22) (=> @t20 (or (tptp.distinct_points @t3 @t22) (tptp.distinct_points @t14 @t22))))) % 0.30/0.55 (assume @p8 (forall @t23 (not (tptp.distinct_lines @t1 @t1)))) % 0.30/0.55 (assume @p9 (forall @t26 (=> @t25 (or (tptp.distinct_lines @t1 @t24) (tptp.distinct_lines @t8 @t24))))) % 0.30/0.55 (assume @p10 (forall @t23 (not (tptp.unequally_directed_lines @t1 @t1)))) % 0.30/0.55 (assume @p11 (forall @t26 (=> @t11 (or @t28 @t27)))) % 0.30/0.55 (assume @p12 (forall @t26 (=> @t12 (or (and @t28 (tptp.unequally_directed_lines @t1 @t29)) (and @t27 (tptp.unequally_directed_lines @t8 @t29)))))) % 0.30/0.55 (assume @p13 @t34) % 0.30/0.55 (assume @p14 (forall @t13 (=> @t12 @t36))) % 0.30/0.55 (assume @p15 (forall @t7 @t19)) % 0.30/0.55 (assume @p16 (forall @t13 (not @t36))) % 0.30/0.55 (assume @p17 (forall @t38 (=> (and @t37 (tptp.point @t14) @t20) (tptp.line @t18)))) % 0.30/0.55 (assume @p18 (forall @t13 (=> (and @t32 @t31 @t11 @t10) (tptp.point @t39)))) % 0.30/0.55 (assume @p19 (forall (@list @t1 @t3) (=> (and @t37 @t32) (tptp.line @t40)))) % 0.30/0.55 (assume @p20 (forall @t23 (=> @t32 (tptp.line @t2)))) % 0.30/0.55 (assume @p21 (forall @t38 (=> @t20 (and (not (tptp.apart_point_and_line @t3 @t18)) (not (tptp.apart_point_and_line @t14 @t18)))))) % 0.30/0.55 (assume @p22 (forall @t13 (=> @t12 (and (not (tptp.apart_point_and_line @t39 @t1)) (not (tptp.apart_point_and_line @t39 @t8)))))) % 0.30/0.55 (assume @p23 (forall @t7 (not (tptp.apart_point_and_line @t3 @t40)))) % 0.30/0.55 (assume @p24 (forall @t23 (not (tptp.distinct_lines @t1 @t2)))) % 0.30/0.55 (assume @p25 (forall @t38 (not (tptp.unequally_directed_lines @t18 (tptp.reverse_line (tptp.line_connecting @t14 @t3)))))) % 0.30/0.55 (assume @p26 (forall @t7 (not (tptp.unequally_directed_lines @t40 @t1)))) % 0.30/0.55 (assume @p27 (forall (@list @t3 @t14 @t1 @t8) (=> (and @t20 @t25) (or @t5 @t15 (tptp.left_apart_point @t3 @t8) (tptp.left_apart_point @t14 @t8) @t4 @t16 @t41 (tptp.left_apart_point @t14 @t9))))) % 0.30/0.55 (assume @p28 (forall @t17 (=> (and @t20 @t5) (or @t15 (tptp.left_convergent_lines @t18 @t1))))) % 0.30/0.55 (assume @p29 (forall @t17 (=> @t5 (or @t20 @t15)))) % 0.30/0.55 (assume @p30 (forall (@list @t3 @t1 @t8) (=> (and @t5 @t11) (or @t25 @t41)))) % 0.30/0.55 (assume @p31 (forall @t26 (=> @t35 (or @t27 (tptp.left_convergent_lines @t1 @t24))))) % 0.30/0.55 (assume @p32 @t46) % 0.30/0.55 (assume @p33 true) % 0.30/0.55 (step @p34 :rule aci_norm :args ((= (or (or @t48 @t47) @t30) @t49))) % 0.30/0.55 (step @p35 :rule refl :args (@t30)) % 0.30/0.55 (step @p36 :rule bool-and-de-morgan :args (@t32 @t31 true)) % 0.30/0.55 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or @t50 @t30))) % 0.30/0.55 (step @p38 :rule trans :premises (@p37 @p34)) % 0.30/0.55 (step @p39 :rule bool-impl-elim :args (@t33 @t30)) % 0.30/0.55 (step @p40 :rule trans :premises (@p39 @p38)) % 0.30/0.55 (step @p41 :rule cong :premises (@p40) :args (@t34)) % 0.30/0.55 (step @p42 :rule eq_resolve :premises (@p13 @p41)) % 0.30/0.55 (step @p43 :rule bool-double-not-elim :args (@t10)) % 0.30/0.55 (step @p44 :rule bool-double-not-elim :args (@t11)) % 0.30/0.55 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or (not @t43) (not @t42)))) % 0.30/0.55 (step @p46 :rule bool-and-de-morgan :args (@t43 @t42 true)) % 0.30/0.55 (step @p47 :rule trans :premises (@p46 @p45)) % 0.30/0.55 (step @p48 :rule nary_cong :premises (@p36 @p47) :args ((or @t50 @t44))) % 0.30/0.55 (step @p49 :rule trans :premises (@p48 @p34)) % 0.30/0.55 (step @p50 :rule bool-impl-elim :args (@t33 @t44)) % 0.30/0.55 (step @p51 :rule trans :premises (@p50 @p49)) % 0.30/0.55 (step @p52 :rule cong :premises (@p51) :args (@t45)) % 0.30/0.55 (step @p53 :rule cong :premises (@p52) :args (@t46)) % 0.30/0.55 (step @p54 :rule eq_resolve :premises (@p32 @p53)) % 0.30/0.55 (step @p55 false :rule chain_m_resolution :premises (@p54 @p42) :args (false (@list false) (@list (forall @t13 @t49)))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------