%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO251+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:16:56 AM UTC 2026 % Result : Theorem 0.41s 0.57s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO251+3 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.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 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 23:41:48 EDT 2026 % 0.17/0.34 % CPUTime : % 0.35/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.41/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.41/0.57 % SZS status Theorem % 0.41/0.57 % SZS output start Proof % 0.41/0.57 ( % 0.41/0.57 (declare-sort $$unsorted 0) % 0.41/0.57 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.57 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.57 (declare-const tptp.point (-> $$unsorted Bool)) % 0.41/0.57 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.41/0.57 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.41/0.57 (declare-const tptp.before_on_line (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.57 (declare-const tptp.reverse_line (-> $$unsorted $$unsorted)) % 0.41/0.57 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.41/0.57 (declare-const tptp.unequally_directed_lines (-> $$unsorted $$unsorted Bool)) % 0.41/0.57 (declare-const tptp.right_convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.41/0.57 (declare-const tptp.left_apart_point (-> $$unsorted $$unsorted Bool)) % 0.41/0.57 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.57 (declare-const tptp.right_apart_point (-> $$unsorted $$unsorted Bool)) % 0.41/0.57 (declare-const tptp.left_convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.41/0.57 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.41/0.57 (declare-const tptp.between_on_line (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.57 (declare-const tptp.equally_directed_lines (-> $$unsorted $$unsorted Bool)) % 0.41/0.57 (declare-const tptp.equally_directed_opposite_lines (-> $$unsorted $$unsorted Bool)) % 0.41/0.57 (declare-const tptp.line (-> $$unsorted Bool)) % 0.41/0.57 (declare-const tptp.unequally_directed_opposite_lines (-> $$unsorted $$unsorted Bool)) % 0.41/0.57 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.41/0.57 (declare-const tptp.divides_points (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.57 (define @t1 () (@var "Y" $$unsorted)) % 0.41/0.57 (define @t2 () (tptp.reverse_line @t1)) % 0.41/0.57 (define @t3 () (@var "X" $$unsorted)) % 0.41/0.57 (define @t4 () (tptp.unequally_directed_opposite_lines @t3 @t1)) % 0.41/0.57 (define @t5 () (@list @t3 @t1)) % 0.41/0.57 (define @t6 () (@var "L" $$unsorted)) % 0.41/0.57 (define @t7 () (@var "A" $$unsorted)) % 0.41/0.57 (define @t8 () (tptp.right_apart_point @t7 @t6)) % 0.41/0.57 (define @t9 () (tptp.left_apart_point @t7 @t6)) % 0.41/0.57 (define @t10 () (@list @t7 @t6)) % 0.41/0.57 (define @t11 () (@var "M" $$unsorted)) % 0.41/0.57 (define @t12 () (tptp.unequally_directed_lines @t6 @t11)) % 0.41/0.57 (define @t13 () (@list @t6 @t11)) % 0.41/0.57 (define @t14 () (@var "B" $$unsorted)) % 0.41/0.57 (define @t15 () (tptp.left_apart_point @t14 @t6)) % 0.41/0.57 (define @t16 () (@list @t7 @t14 @t6)) % 0.41/0.57 (define @t17 () (tptp.line_connecting @t7 @t14)) % 0.41/0.57 (define @t18 () (tptp.distinct_points @t7 @t14)) % 0.41/0.57 (define @t19 () (tptp.before_on_line @t6 @t7 @t14)) % 0.41/0.57 (define @t20 () (@var "C" $$unsorted)) % 0.41/0.57 (define @t21 () (@list @t6)) % 0.41/0.57 (define @t22 () (@var "N" $$unsorted)) % 0.41/0.57 (define @t23 () (tptp.distinct_lines @t6 @t11)) % 0.41/0.57 (define @t24 () (@list @t6 @t11 @t22)) % 0.41/0.57 (define @t25 () (tptp.unequally_directed_lines @t11 @t22)) % 0.41/0.57 (define @t26 () (tptp.unequally_directed_lines @t6 @t22)) % 0.41/0.57 (define @t27 () (tptp.reverse_line @t22)) % 0.41/0.57 (define @t28 () (tptp.reverse_line @t11)) % 0.41/0.57 (define @t29 () (tptp.unequally_directed_lines @t6 @t28)) % 0.41/0.57 (define @t30 () (and @t12 @t29)) % 0.41/0.57 (define @t31 () (tptp.left_convergent_lines @t6 @t11)) % 0.41/0.57 (define @t32 () (or @t31 (tptp.left_convergent_lines @t6 @t28))) % 0.41/0.57 (define @t33 () (tptp.reverse_line @t6)) % 0.41/0.57 (define @t34 () (tptp.left_apart_point @t7 @t33)) % 0.41/0.57 (define @t35 () (forall @t10 (not (or @t9 @t34)))) % 0.41/0.57 (define @t36 () (tptp.point @t7)) % 0.41/0.57 (define @t37 () (@list @t7 @t14)) % 0.41/0.57 (define @t38 () (tptp.intersection_point @t6 @t11)) % 0.41/0.57 (define @t39 () (tptp.line @t6)) % 0.41/0.57 (define @t40 () (tptp.parallel_through_point @t6 @t7)) % 0.41/0.57 (define @t41 () (tptp.left_apart_point @t7 @t28)) % 0.41/0.57 (define @t42 () (tptp.left_apart_point @t7 (tptp.parallel_through_point @t6 @t14))) % 0.41/0.57 (define @t43 () (tptp.right_apart_point @t14 @t40)) % 0.41/0.57 (define @t44 () (forall @t16 (=> @t43 @t42))) % 0.41/0.57 (define @t45 () (not @t44)) % 0.41/0.57 (define @t46 () (not @t34)) % 0.41/0.57 (define @t47 () (forall @t10 @t46)) % 0.41/0.57 (define @t48 () (@list @t7 @t6)) % 0.41/0.57 (define @t49 () (not @t9)) % 0.41/0.57 (define @t50 () (forall @t10 @t49)) % 0.41/0.57 (define @t51 () (@var "BOUND_VARIABLE_7672" $$unsorted)) % 0.41/0.57 (define @t52 () (@var "BOUND_VARIABLE_7670" $$unsorted)) % 0.41/0.57 (define @t53 () (and @t50 @t47)) % 0.41/0.57 (define @t54 () (forall @t16 (or (not @t43) @t42))) % 0.41/0.57 (define @t55 () (@quantifiers_skolemize @t54 0)) % 0.41/0.57 (define @t56 () (@quantifiers_skolemize @t54 2)) % 0.41/0.57 (define @t57 () (tptp.parallel_through_point @t56 @t55)) % 0.41/0.57 (define @t58 () (@quantifiers_skolemize @t54 1)) % 0.41/0.57 (define @t59 () (tptp.right_apart_point @t58 @t57)) % 0.41/0.57 (define @t60 () (not @t59)) % 0.41/0.57 (define @t61 () (or @t60 (tptp.left_apart_point @t55 (tptp.parallel_through_point @t56 @t58)))) % 0.41/0.57 (define @t62 () (tptp.reverse_line @t57)) % 0.41/0.57 (define @t63 () (tptp.left_apart_point @t58 @t62)) % 0.41/0.57 (define @t64 () (= @t59 @t63)) % 0.41/0.57 (define @t65 () (@list false false)) % 0.41/0.57 (define @t66 () (forall (@list @t52 @t51) (not (tptp.left_apart_point @t52 @t51)))) % 0.41/0.57 (assume @p1 (forall @t5 (= @t4 (tptp.unequally_directed_lines @t3 @t2)))) % 0.41/0.57 (assume @p2 (forall @t5 (= (tptp.right_apart_point @t3 @t1) (tptp.left_apart_point @t3 @t2)))) % 0.41/0.57 (assume @p3 (forall @t5 (= (tptp.right_convergent_lines @t3 @t1) (tptp.left_convergent_lines @t3 @t2)))) % 0.41/0.57 (assume @p4 (forall @t5 (= (tptp.equally_directed_lines @t3 @t1) (not (tptp.unequally_directed_lines @t3 @t1))))) % 0.41/0.57 (assume @p5 (forall @t5 (= (tptp.equally_directed_opposite_lines @t3 @t1) (not @t4)))) % 0.41/0.57 (assume @p6 (forall @t10 (= (tptp.apart_point_and_line @t7 @t6) (or @t9 @t8)))) % 0.41/0.57 (assume @p7 (forall @t13 (= (tptp.convergent_lines @t6 @t11) (and @t12 (tptp.unequally_directed_opposite_lines @t6 @t11))))) % 0.41/0.57 (assume @p8 (forall @t16 (= (tptp.divides_points @t6 @t7 @t14) (or (and @t9 (tptp.right_apart_point @t14 @t6)) (and @t8 @t15))))) % 0.41/0.57 (assume @p9 (forall (@list @t6 @t7 @t14) (= @t19 (and @t18 (tptp.incident_point_and_line @t7 @t6) (tptp.incident_point_and_line @t14 @t6) (tptp.equally_directed_lines @t6 @t17))))) % 0.41/0.57 (assume @p10 (forall (@list @t6 @t7 @t14 @t20) (= (tptp.between_on_line @t6 @t7 @t14 @t20) (or (and @t19 (tptp.before_on_line @t6 @t14 @t20)) (and (tptp.before_on_line @t6 @t20 @t14) (tptp.before_on_line @t6 @t14 @t7)))))) % 0.41/0.57 (assume @p11 (forall (@list @t7) (not (tptp.distinct_points @t7 @t7)))) % 0.41/0.57 (assume @p12 (forall (@list @t7 @t14 @t20) (=> @t18 (or (tptp.distinct_points @t7 @t20) (tptp.distinct_points @t14 @t20))))) % 0.41/0.57 (assume @p13 (forall @t21 (not (tptp.distinct_lines @t6 @t6)))) % 0.41/0.57 (assume @p14 (forall @t24 (=> @t23 (or (tptp.distinct_lines @t6 @t22) (tptp.distinct_lines @t11 @t22))))) % 0.41/0.57 (assume @p15 (forall @t21 (tptp.equally_directed_lines @t6 @t6))) % 0.41/0.57 (assume @p16 (forall @t24 (=> @t12 (or @t26 @t25)))) % 0.41/0.57 (assume @p17 (forall @t24 (=> @t30 (or (and @t26 (tptp.unequally_directed_lines @t6 @t27)) (and @t25 (tptp.unequally_directed_lines @t11 @t27)))))) % 0.41/0.57 (assume @p18 (forall @t13 (or @t12 @t29))) % 0.41/0.57 (assume @p19 (forall @t13 (=> @t30 @t32))) % 0.41/0.57 (assume @p20 @t35) % 0.41/0.57 (assume @p21 (forall @t13 (not @t32))) % 0.41/0.57 (assume @p22 (forall @t37 (=> (and @t36 (tptp.point @t14) @t18) (tptp.line @t17)))) % 0.41/0.57 (assume @p23 (forall @t13 (=> (and @t39 (tptp.line @t11) @t12 @t29) (tptp.point @t38)))) % 0.41/0.57 (assume @p24 (forall (@list @t6 @t7) (=> (and @t36 @t39) (tptp.line @t40)))) % 0.41/0.57 (assume @p25 (forall @t21 (=> @t39 (tptp.line @t33)))) % 0.41/0.57 (assume @p26 (forall @t37 (=> @t18 (and (not (tptp.apart_point_and_line @t7 @t17)) (not (tptp.apart_point_and_line @t14 @t17)))))) % 0.41/0.57 (assume @p27 (forall @t13 (=> @t30 (and (not (tptp.apart_point_and_line @t38 @t6)) (not (tptp.apart_point_and_line @t38 @t11)))))) % 0.41/0.57 (assume @p28 (forall @t10 (not (tptp.apart_point_and_line @t7 @t40)))) % 0.41/0.57 (assume @p29 (forall @t21 (not (tptp.distinct_lines @t6 @t33)))) % 0.41/0.57 (assume @p30 (forall @t37 (=> @t18 (tptp.equally_directed_lines @t17 (tptp.reverse_line (tptp.line_connecting @t14 @t7)))))) % 0.41/0.57 (assume @p31 (forall @t10 (tptp.equally_directed_lines @t40 @t6))) % 0.41/0.57 (assume @p32 (forall (@list @t7 @t14 @t6 @t11) (=> (and @t18 @t23) (or @t9 @t15 (tptp.left_apart_point @t7 @t11) (tptp.left_apart_point @t14 @t11) @t34 (tptp.left_apart_point @t14 @t33) @t41 (tptp.left_apart_point @t14 @t28))))) % 0.41/0.57 (assume @p33 (forall @t16 (=> (and @t18 @t9) (or @t15 (tptp.left_convergent_lines @t17 @t6))))) % 0.41/0.57 (assume @p34 (forall @t16 (=> @t9 (or @t18 @t15)))) % 0.41/0.57 (assume @p35 (forall (@list @t7 @t6 @t11) (=> (and @t9 @t12) (or @t23 @t41)))) % 0.41/0.57 (assume @p36 (forall @t24 (=> @t31 (or @t25 (tptp.left_convergent_lines @t6 @t22))))) % 0.41/0.58 (assume @p37 @t45) % 0.41/0.58 (assume @p38 true) % 0.41/0.58 (step @p39 :rule alpha_equiv :args (@t47 @t48 (@list (@var "BOUND_VARIABLE_7678" $$unsorted) (@var "BOUND_VARIABLE_7680" $$unsorted)))) % 0.41/0.58 (step @p40 :rule alpha_equiv :args (@t50 @t48 (@list @t52 @t51))) % 0.41/0.58 (step @p41 :rule nary_cong :premises (@p40 @p39) :args (@t53)) % 0.41/0.58 (step @p42 :rule quant-miniscope-and :args ((= (forall @t10 (and @t49 @t46)) @t53))) % 0.41/0.58 (step @p43 :rule trans :premises (@p42 @p41)) % 0.41/0.58 (step @p44 :rule bool-or-de-morgan :args (@t9 @t34 false)) % 0.41/0.58 (step @p45 :rule cong :premises (@p44) :args (@t35)) % 0.41/0.58 (step @p46 :rule trans :premises (@p45 @p43)) % 0.41/0.58 (step @p47 :rule eq_resolve :premises (@p20 @p46)) % 0.41/0.58 (step @p48 :rule and_elim :premises (@p47) :args (0)) % 0.41/0.58 (step @p49 :rule instantiate :premises (@p2) :args ((@list @t58 @t57))) % 0.41/0.58 (step @p50 :rule bool-impl-elim :args (@t43 @t42)) % 0.41/0.58 (step @p51 :rule cong :premises (@p50) :args (@t44)) % 0.41/0.58 (step @p52 :rule cong :premises (@p51) :args (@t45)) % 0.41/0.58 (step @p53 :rule eq_resolve :premises (@p37 @p52)) % 0.41/0.58 (step @p54 :rule skolemize :premises (@p53)) % 0.41/0.58 (step @p55 :rule bool-double-not-elim :args (@t59)) % 0.41/0.58 (step @p56 :rule refl :args (@t61)) % 0.41/0.58 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t61 (not @t60)))) % 0.41/0.58 (step @p58 :rule cnf_or_neg :args (@t61 0)) % 0.41/0.58 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 0.41/0.58 (step @p60 :rule reordering :premises (@p59) :args ((or @t59 @t61))) % 0.41/0.58 (step @p61 :rule chain_m_resolution :premises (@p60 @p54) :args (@t59 (@list true) (@list @t61))) % 0.41/0.58 (step @p62 :rule cnf_equiv_pos1 :args (@t64)) % 0.41/0.58 (step @p63 :rule reordering :premises (@p62) :args ((or @t60 @t63 (not @t64)))) % 0.41/0.58 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p49) :args (@t63 @t65 (@list @t59 @t64))) % 0.41/0.58 (assume-push @p71 @t66) % 0.41/0.58 (step @p66 :rule instantiate :premises (@p48) :args ((@list @t58 @t62))) % 0.41/0.58 (step-pop @p72 :rule scope :premises (@p66)) % 0.41/0.58 (step @p67 :rule process_scope :premises (@p72) :args ((not @t63))) % 0.41/0.58 (step @p69 :rule implies_elim :premises (@p67)) % 0.41/0.58 (step @p70 false :rule chain_m_resolution :premises (@p69 @p64 @p48) :args (false @t65 (@list @t63 @t66))) % 0.41/0.58 ) % 0.41/0.58 % SZS output end Proof % 0.41/0.58 % cvc5 exiting %------------------------------------------------------------------------------