%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO228+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 : n008.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 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO228+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 % 0.16/0.34 % Computer : n008.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 23:41:03 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.58 % SZS status Theorem % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.left_apart_point (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.point (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.unequally_directed_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.between_on_line (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.line (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.reverse_line (-> $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.before_on_line (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.divides_points (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.left_convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (define @t1 () (@var "L" $$unsorted)) % 0.39/0.58 (define @t2 () (tptp.reverse_line @t1)) % 0.39/0.58 (define @t3 () (@var "A" $$unsorted)) % 0.39/0.58 (define @t4 () (tptp.left_apart_point @t3 @t2)) % 0.39/0.58 (define @t5 () (tptp.left_apart_point @t3 @t1)) % 0.39/0.58 (define @t6 () (or @t5 @t4)) % 0.39/0.58 (define @t7 () (@list @t3 @t1)) % 0.39/0.58 (define @t8 () (@var "M" $$unsorted)) % 0.39/0.58 (define @t9 () (tptp.reverse_line @t8)) % 0.39/0.58 (define @t10 () (tptp.unequally_directed_lines @t1 @t9)) % 0.39/0.58 (define @t11 () (tptp.unequally_directed_lines @t1 @t8)) % 0.39/0.58 (define @t12 () (and @t11 @t10)) % 0.39/0.58 (define @t13 () (tptp.convergent_lines @t1 @t8)) % 0.39/0.58 (define @t14 () (@list @t1 @t8)) % 0.39/0.58 (define @t15 () (@var "B" $$unsorted)) % 0.39/0.58 (define @t16 () (tptp.left_apart_point @t15 @t1)) % 0.39/0.58 (define @t17 () (tptp.left_apart_point @t15 @t2)) % 0.39/0.58 (define @t18 () (@list @t3 @t15 @t1)) % 0.39/0.58 (define @t19 () (tptp.line_connecting @t3 @t15)) % 0.39/0.58 (define @t20 () (not @t6)) % 0.39/0.58 (define @t21 () (tptp.distinct_points @t3 @t15)) % 0.39/0.58 (define @t22 () (tptp.before_on_line @t1 @t3 @t15)) % 0.39/0.58 (define @t23 () (@var "C" $$unsorted)) % 0.39/0.58 (define @t24 () (@list @t1)) % 0.39/0.58 (define @t25 () (@var "N" $$unsorted)) % 0.39/0.58 (define @t26 () (tptp.distinct_lines @t1 @t8)) % 0.39/0.58 (define @t27 () (@list @t1 @t8 @t25)) % 0.39/0.58 (define @t28 () (tptp.unequally_directed_lines @t8 @t25)) % 0.39/0.58 (define @t29 () (tptp.unequally_directed_lines @t1 @t25)) % 0.39/0.58 (define @t30 () (tptp.reverse_line @t25)) % 0.39/0.58 (define @t31 () (tptp.line @t8)) % 0.39/0.58 (define @t32 () (tptp.line @t1)) % 0.39/0.58 (define @t33 () (tptp.left_convergent_lines @t1 @t8)) % 0.39/0.58 (define @t34 () (or @t33 (tptp.left_convergent_lines @t1 @t9))) % 0.39/0.58 (define @t35 () (tptp.point @t3)) % 0.39/0.58 (define @t36 () (@list @t3 @t15)) % 0.39/0.58 (define @t37 () (tptp.intersection_point @t1 @t8)) % 0.39/0.58 (define @t38 () (tptp.parallel_through_point @t1 @t3)) % 0.39/0.58 (define @t39 () (tptp.left_apart_point @t3 @t9)) % 0.39/0.58 (define @t40 () (forall @t14 (= (not @t13) (or (not @t11) (not @t10))))) % 0.39/0.58 (define @t41 () (@quantifiers_skolemize @t40 1)) % 0.39/0.58 (define @t42 () (@quantifiers_skolemize @t40 0)) % 0.39/0.58 (define @t43 () (tptp.unequally_directed_lines @t42 (tptp.reverse_line @t41))) % 0.39/0.58 (define @t44 () (tptp.unequally_directed_lines @t42 @t41)) % 0.39/0.58 (define @t45 () (and @t44 @t43)) % 0.39/0.58 (define @t46 () (tptp.convergent_lines @t42 @t41)) % 0.39/0.58 (define @t47 () (= @t46 @t45)) % 0.39/0.58 (define @t48 () (not @t47)) % 0.39/0.58 (define @t49 () (not @t46)) % 0.39/0.58 (define @t50 () (not @t43)) % 0.39/0.58 (define @t51 () (not @t44)) % 0.39/0.58 (define @t52 () (or @t51 @t50)) % 0.39/0.58 (define @t53 () (not @t52)) % 0.39/0.58 (define @t54 () (= @t49 @t52)) % 0.39/0.58 (define @t55 () (not @t45)) % 0.39/0.58 (define @t56 () (@list false false)) % 0.39/0.58 (define @t57 () (@list false)) % 0.39/0.58 (define @t58 () (@list @t45)) % 0.39/0.58 (assume @p1 (forall @t7 (= (tptp.apart_point_and_line @t3 @t1) @t6))) % 0.39/0.58 (assume @p2 (forall @t14 (= @t13 @t12))) % 0.39/0.58 (assume @p3 (forall @t18 (= (tptp.divides_points @t1 @t3 @t15) (or (and @t5 @t17) (and @t4 @t16))))) % 0.39/0.58 (assume @p4 (forall (@list @t1 @t3 @t15) (= @t22 (and @t21 @t20 (not (or @t16 @t17)) (not (tptp.unequally_directed_lines @t1 @t19)))))) % 0.39/0.58 (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)))))) % 0.39/0.58 (assume @p6 (forall (@list @t3) (not (tptp.distinct_points @t3 @t3)))) % 0.39/0.58 (assume @p7 (forall (@list @t3 @t15 @t23) (=> @t21 (or (tptp.distinct_points @t3 @t23) (tptp.distinct_points @t15 @t23))))) % 0.39/0.58 (assume @p8 (forall @t24 (not (tptp.distinct_lines @t1 @t1)))) % 0.39/0.58 (assume @p9 (forall @t27 (=> @t26 (or (tptp.distinct_lines @t1 @t25) (tptp.distinct_lines @t8 @t25))))) % 0.39/0.58 (assume @p10 (forall @t24 (not (tptp.unequally_directed_lines @t1 @t1)))) % 0.39/0.58 (assume @p11 (forall @t27 (=> @t11 (or @t29 @t28)))) % 0.39/0.58 (assume @p12 (forall @t27 (=> @t12 (or (and @t29 (tptp.unequally_directed_lines @t1 @t30)) (and @t28 (tptp.unequally_directed_lines @t8 @t30)))))) % 0.39/0.58 (assume @p13 (forall @t14 (=> (and @t32 @t31) (or @t11 @t10)))) % 0.39/0.58 (assume @p14 (forall @t14 (=> @t12 @t34))) % 0.39/0.58 (assume @p15 (forall @t7 @t20)) % 0.39/0.58 (assume @p16 (forall @t14 (not @t34))) % 0.39/0.58 (assume @p17 (forall @t36 (=> (and @t35 (tptp.point @t15) @t21) (tptp.line @t19)))) % 0.39/0.58 (assume @p18 (forall @t14 (=> (and @t32 @t31 @t11 @t10) (tptp.point @t37)))) % 0.39/0.58 (assume @p19 (forall (@list @t1 @t3) (=> (and @t35 @t32) (tptp.line @t38)))) % 0.39/0.58 (assume @p20 (forall @t24 (=> @t32 (tptp.line @t2)))) % 0.39/0.58 (assume @p21 (forall @t36 (=> @t21 (and (not (tptp.apart_point_and_line @t3 @t19)) (not (tptp.apart_point_and_line @t15 @t19)))))) % 0.39/0.58 (assume @p22 (forall @t14 (=> @t12 (and (not (tptp.apart_point_and_line @t37 @t1)) (not (tptp.apart_point_and_line @t37 @t8)))))) % 0.39/0.58 (assume @p23 (forall @t7 (not (tptp.apart_point_and_line @t3 @t38)))) % 0.39/0.58 (assume @p24 (forall @t24 (not (tptp.distinct_lines @t1 @t2)))) % 0.39/0.58 (assume @p25 (forall @t36 (not (tptp.unequally_directed_lines @t19 (tptp.reverse_line (tptp.line_connecting @t15 @t3)))))) % 0.39/0.58 (assume @p26 (forall @t7 (not (tptp.unequally_directed_lines @t38 @t1)))) % 0.39/0.58 (assume @p27 (forall (@list @t3 @t15 @t1 @t8) (=> (and @t21 @t26) (or @t5 @t16 (tptp.left_apart_point @t3 @t8) (tptp.left_apart_point @t15 @t8) @t4 @t17 @t39 (tptp.left_apart_point @t15 @t9))))) % 0.39/0.58 (assume @p28 (forall @t18 (=> (and @t21 @t5) (or @t16 (tptp.left_convergent_lines @t19 @t1))))) % 0.39/0.58 (assume @p29 (forall @t18 (=> @t5 (or @t21 @t16)))) % 0.39/0.58 (assume @p30 (forall (@list @t3 @t1 @t8) (=> (and @t5 @t11) (or @t26 @t39)))) % 0.39/0.58 (assume @p31 (forall @t27 (=> @t33 (or @t28 (tptp.left_convergent_lines @t1 @t25))))) % 0.39/0.58 (assume @p32 (not @t40)) % 0.39/0.58 (assume @p33 true) % 0.39/0.58 (step @p34 :rule skolemize :premises (@p32)) % 0.39/0.58 (step @p35 :rule instantiate :premises (@p2) :args ((@list @t42 @t41))) % 0.39/0.58 (step @p36 :rule cnf_equiv_pos1 :args (@t47)) % 0.39/0.58 (step @p37 :rule reordering :premises (@p36) :args ((or @t49 @t45 @t48))) % 0.39/0.58 (step @p38 :rule refl :args (@t53)) % 0.39/0.58 (step @p39 :rule bool-double-not-elim :args (@t46)) % 0.39/0.58 (step @p40 :rule refl :args (@t54)) % 0.39/0.58 (step @p41 :rule nary_cong :premises (@p40 @p39 @p38) :args ((or @t54 (not @t49) @t53))) % 0.39/0.58 (step @p42 :rule cnf_equiv_neg2 :args (@t54)) % 0.39/0.58 (step @p43 :rule eq_resolve :premises (@p42 @p41)) % 0.39/0.58 (step @p44 :rule reordering :premises (@p43) :args ((or @t46 @t54 @t53))) % 0.39/0.58 (step @p45 :rule bool-double-not-elim :args (@t44)) % 0.39/0.58 (step @p46 :rule refl :args (@t52)) % 0.39/0.58 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t52 (not @t51)))) % 0.39/0.58 (step @p48 :rule cnf_or_neg :args (@t52 0)) % 0.39/0.58 (step @p49 :rule eq_resolve :premises (@p48 @p47)) % 0.39/0.58 (step @p50 :rule reordering :premises (@p49) :args ((or @t44 @t52))) % 0.39/0.58 (step @p51 :rule bool-double-not-elim :args (@t43)) % 0.39/0.58 (step @p52 :rule nary_cong :premises (@p46 @p51) :args ((or @t52 (not @t50)))) % 0.39/0.58 (step @p53 :rule cnf_or_neg :args (@t52 1)) % 0.39/0.58 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 0.39/0.58 (step @p55 :rule reordering :premises (@p54) :args ((or @t43 @t52))) % 0.39/0.58 (step @p56 :rule cnf_and_neg :args (@t45)) % 0.39/0.58 (step @p57 :rule reordering :premises (@p56) :args ((or @t51 @t50 @t45))) % 0.39/0.58 (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p50 @p44 @p34 @p37 @p35) :args (@t45 (@list false false true true true false) (@list @t43 @t44 @t52 @t54 @t46 @t47))) % 0.39/0.58 (step @p59 :rule cnf_equiv_pos2 :args (@t47)) % 0.39/0.58 (step @p60 :rule reordering :premises (@p59) :args ((or @t46 @t55 @t48))) % 0.39/0.59 (step @p61 :rule chain_m_resolution :premises (@p60 @p58 @p35) :args (@t46 @t56 (@list @t45 @t47))) % 0.39/0.59 (step @p62 :rule cnf_and_pos :args (@t45 1)) % 0.39/0.59 (step @p63 :rule reordering :premises (@p62) :args ((or @t43 @t55))) % 0.39/0.59 (step @p64 :rule chain_m_resolution :premises (@p63 @p58) :args (@t43 @t57 @t58)) % 0.39/0.59 (step @p65 :rule cnf_and_pos :args (@t45 0)) % 0.39/0.59 (step @p66 :rule reordering :premises (@p65) :args ((or @t44 @t55))) % 0.39/0.59 (step @p67 :rule chain_m_resolution :premises (@p66 @p58) :args (@t44 @t57 @t58)) % 0.39/0.59 (step @p68 :rule cnf_or_pos :args (@t52)) % 0.39/0.59 (step @p69 :rule reordering :premises (@p68) :args ((or @t51 @t50 @t53))) % 0.39/0.59 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p64) :args (@t53 @t56 (@list @t44 @t43))) % 0.39/0.59 (step @p71 :rule cnf_equiv_neg1 :args (@t54)) % 0.39/0.59 (step @p72 :rule reordering :premises (@p71) :args ((or @t49 @t52 @t54))) % 0.39/0.59 (step @p73 false :rule chain_m_resolution :premises (@p72 @p70 @p61 @p34) :args (false (@list true false true) (@list @t52 @t46 @t54))) % 0.39/0.59 ) % 0.39/0.59 % SZS output end Proof % 0.39/0.59 % cvc5 exiting %------------------------------------------------------------------------------