%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO264+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 : n028.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 08:16:59 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 % 0.00/0.11 % Problem : GEO264+1 : TPTP v9.2.1. Bugfixed v6.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n028.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 23:42:05 EDT 2026 % 0.16/0.33 % CPUTime : % 0.27/0.51 %----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.left_apart_point (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.point (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.unequally_directed_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.between_on_line (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.line (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 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.before_on_line (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.divides_points (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.left_convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (define @t1 () (@var "L" $$unsorted)) % 0.37/0.59 (define @t2 () (tptp.reverse_line @t1)) % 0.37/0.59 (define @t3 () (@var "A" $$unsorted)) % 0.37/0.59 (define @t4 () (tptp.left_apart_point @t3 @t2)) % 0.37/0.59 (define @t5 () (tptp.left_apart_point @t3 @t1)) % 0.37/0.59 (define @t6 () (or @t5 @t4)) % 0.37/0.59 (define @t7 () (@list @t3 @t1)) % 0.37/0.59 (define @t8 () (@var "M" $$unsorted)) % 0.37/0.59 (define @t9 () (tptp.reverse_line @t8)) % 0.37/0.59 (define @t10 () (tptp.unequally_directed_lines @t1 @t9)) % 0.37/0.59 (define @t11 () (tptp.unequally_directed_lines @t1 @t8)) % 0.37/0.59 (define @t12 () (and @t11 @t10)) % 0.37/0.59 (define @t13 () (@list @t1 @t8)) % 0.37/0.59 (define @t14 () (@var "B" $$unsorted)) % 0.37/0.59 (define @t15 () (tptp.left_apart_point @t14 @t1)) % 0.37/0.59 (define @t16 () (tptp.left_apart_point @t14 @t2)) % 0.37/0.59 (define @t17 () (@list @t3 @t14 @t1)) % 0.37/0.59 (define @t18 () (tptp.line_connecting @t3 @t14)) % 0.37/0.59 (define @t19 () (not @t6)) % 0.37/0.59 (define @t20 () (tptp.distinct_points @t3 @t14)) % 0.37/0.59 (define @t21 () (tptp.before_on_line @t1 @t3 @t14)) % 0.37/0.59 (define @t22 () (@var "C" $$unsorted)) % 0.37/0.59 (define @t23 () (@list @t1)) % 0.37/0.59 (define @t24 () (@var "N" $$unsorted)) % 0.37/0.59 (define @t25 () (tptp.distinct_lines @t1 @t8)) % 0.37/0.59 (define @t26 () (@list @t1 @t8 @t24)) % 0.37/0.59 (define @t27 () (tptp.unequally_directed_lines @t8 @t24)) % 0.37/0.59 (define @t28 () (tptp.unequally_directed_lines @t1 @t24)) % 0.37/0.59 (define @t29 () (tptp.reverse_line @t24)) % 0.37/0.59 (define @t30 () (tptp.line @t8)) % 0.37/0.59 (define @t31 () (tptp.line @t1)) % 0.37/0.59 (define @t32 () (tptp.left_convergent_lines @t1 @t8)) % 0.37/0.59 (define @t33 () (or @t32 (tptp.left_convergent_lines @t1 @t9))) % 0.37/0.59 (define @t34 () (forall @t7 @t19)) % 0.37/0.59 (define @t35 () (tptp.point @t3)) % 0.37/0.59 (define @t36 () (@list @t3 @t14)) % 0.37/0.59 (define @t37 () (tptp.intersection_point @t1 @t8)) % 0.37/0.59 (define @t38 () (tptp.parallel_through_point @t1 @t3)) % 0.37/0.59 (define @t39 () (tptp.left_apart_point @t3 @t9)) % 0.37/0.59 (define @t40 () (@var "D" $$unsorted)) % 0.37/0.59 (define @t41 () (tptp.left_apart_point @t40 @t18)) % 0.37/0.59 (define @t42 () (tptp.left_apart_point @t40 (tptp.reverse_line (tptp.line_connecting @t22 @t3)))) % 0.37/0.59 (define @t43 () (tptp.left_apart_point @t40 (tptp.reverse_line (tptp.line_connecting @t14 @t22)))) % 0.37/0.59 (define @t44 () (and @t43 @t42)) % 0.37/0.59 (define @t45 () (=> @t44 @t41)) % 0.37/0.59 (define @t46 () (tptp.left_apart_point @t22 @t18)) % 0.37/0.59 (define @t47 () (@list @t3 @t14 @t22 @t40)) % 0.37/0.59 (define @t48 () (forall @t47 (=> @t46 @t45))) % 0.37/0.59 (define @t49 () (not @t48)) % 0.37/0.59 (define @t50 () (not @t4)) % 0.37/0.59 (define @t51 () (forall @t7 @t50)) % 0.37/0.59 (define @t52 () (@list @t3 @t1)) % 0.37/0.59 (define @t53 () (not @t5)) % 0.37/0.59 (define @t54 () (forall @t7 @t53)) % 0.37/0.59 (define @t55 () (@var "BOUND_VARIABLE_7664" $$unsorted)) % 0.37/0.59 (define @t56 () (@var "BOUND_VARIABLE_7662" $$unsorted)) % 0.37/0.59 (define @t57 () (and @t54 @t51)) % 0.37/0.59 (define @t58 () (not @t42)) % 0.37/0.59 (define @t59 () (not @t43)) % 0.37/0.59 (define @t60 () (not @t46)) % 0.37/0.59 (define @t61 () (or @t60 @t59 @t58 @t41)) % 0.37/0.59 (define @t62 () (or @t59 @t58 @t41)) % 0.37/0.59 (define @t63 () (forall @t47 @t61)) % 0.37/0.59 (define @t64 () (@quantifiers_skolemize @t63 1)) % 0.37/0.59 (define @t65 () (@quantifiers_skolemize @t63 0)) % 0.37/0.59 (define @t66 () (tptp.line_connecting @t65 @t64)) % 0.37/0.59 (define @t67 () (@quantifiers_skolemize @t63 2)) % 0.37/0.59 (define @t68 () (tptp.left_apart_point @t67 @t66)) % 0.37/0.59 (define @t69 () (@quantifiers_skolemize @t63 3)) % 0.37/0.59 (define @t70 () (not @t68)) % 0.37/0.59 (define @t71 () (or @t70 (not (tptp.left_apart_point @t69 (tptp.reverse_line (tptp.line_connecting @t64 @t67)))) (not (tptp.left_apart_point @t69 (tptp.reverse_line (tptp.line_connecting @t67 @t65)))) (tptp.left_apart_point @t69 @t66))) % 0.37/0.59 (define @t72 () (forall (@list @t56 @t55) (not (tptp.left_apart_point @t56 @t55)))) % 0.37/0.59 (assume @p1 (forall @t7 (= (tptp.apart_point_and_line @t3 @t1) @t6))) % 0.37/0.59 (assume @p2 (forall @t13 (= (tptp.convergent_lines @t1 @t8) @t12))) % 0.37/0.59 (assume @p3 (forall @t17 (= (tptp.divides_points @t1 @t3 @t14) (or (and @t5 @t16) (and @t4 @t15))))) % 0.37/0.59 (assume @p4 (forall (@list @t1 @t3 @t14) (= @t21 (and @t20 @t19 (not (or @t15 @t16)) (not (tptp.unequally_directed_lines @t1 @t18)))))) % 0.37/0.59 (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)))))) % 0.37/0.59 (assume @p6 (forall (@list @t3) (not (tptp.distinct_points @t3 @t3)))) % 0.37/0.59 (assume @p7 (forall (@list @t3 @t14 @t22) (=> @t20 (or (tptp.distinct_points @t3 @t22) (tptp.distinct_points @t14 @t22))))) % 0.37/0.59 (assume @p8 (forall @t23 (not (tptp.distinct_lines @t1 @t1)))) % 0.37/0.59 (assume @p9 (forall @t26 (=> @t25 (or (tptp.distinct_lines @t1 @t24) (tptp.distinct_lines @t8 @t24))))) % 0.37/0.59 (assume @p10 (forall @t23 (not (tptp.unequally_directed_lines @t1 @t1)))) % 0.37/0.59 (assume @p11 (forall @t26 (=> @t11 (or @t28 @t27)))) % 0.37/0.59 (assume @p12 (forall @t26 (=> @t12 (or (and @t28 (tptp.unequally_directed_lines @t1 @t29)) (and @t27 (tptp.unequally_directed_lines @t8 @t29)))))) % 0.37/0.59 (assume @p13 (forall @t13 (=> (and @t31 @t30) (or @t11 @t10)))) % 0.37/0.59 (assume @p14 (forall @t13 (=> @t12 @t33))) % 0.37/0.59 (assume @p15 @t34) % 0.37/0.59 (assume @p16 (forall @t13 (not @t33))) % 0.37/0.59 (assume @p17 (forall @t36 (=> (and @t35 (tptp.point @t14) @t20) (tptp.line @t18)))) % 0.37/0.59 (assume @p18 (forall @t13 (=> (and @t31 @t30 @t11 @t10) (tptp.point @t37)))) % 0.37/0.59 (assume @p19 (forall (@list @t1 @t3) (=> (and @t35 @t31) (tptp.line @t38)))) % 0.37/0.59 (assume @p20 (forall @t23 (=> @t31 (tptp.line @t2)))) % 0.37/0.59 (assume @p21 (forall @t36 (=> @t20 (and (not (tptp.apart_point_and_line @t3 @t18)) (not (tptp.apart_point_and_line @t14 @t18)))))) % 0.37/0.59 (assume @p22 (forall @t13 (=> @t12 (and (not (tptp.apart_point_and_line @t37 @t1)) (not (tptp.apart_point_and_line @t37 @t8)))))) % 0.37/0.59 (assume @p23 (forall @t7 (not (tptp.apart_point_and_line @t3 @t38)))) % 0.37/0.59 (assume @p24 (forall @t23 (not (tptp.distinct_lines @t1 @t2)))) % 0.37/0.59 (assume @p25 (forall @t36 (not (tptp.unequally_directed_lines @t18 (tptp.reverse_line (tptp.line_connecting @t14 @t3)))))) % 0.37/0.59 (assume @p26 (forall @t7 (not (tptp.unequally_directed_lines @t38 @t1)))) % 0.37/0.59 (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 @t39 (tptp.left_apart_point @t14 @t9))))) % 0.37/0.59 (assume @p28 (forall @t17 (=> (and @t20 @t5) (or @t15 (tptp.left_convergent_lines @t18 @t1))))) % 0.37/0.59 (assume @p29 (forall @t17 (=> @t5 (or @t20 @t15)))) % 0.37/0.59 (assume @p30 (forall (@list @t3 @t1 @t8) (=> (and @t5 @t11) (or @t25 @t39)))) % 0.37/0.59 (assume @p31 (forall @t26 (=> @t32 (or @t27 (tptp.left_convergent_lines @t1 @t24))))) % 0.37/0.59 (assume @p32 @t49) % 0.37/0.59 (assume @p33 true) % 0.37/0.59 (step @p34 :rule alpha_equiv :args (@t51 @t52 (@list (@var "BOUND_VARIABLE_7670" $$unsorted) (@var "BOUND_VARIABLE_7672" $$unsorted)))) % 0.37/0.59 (step @p35 :rule alpha_equiv :args (@t54 @t52 (@list @t56 @t55))) % 0.37/0.59 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t57)) % 0.37/0.59 (step @p37 :rule quant-miniscope-and :args ((= (forall @t7 (and @t53 @t50)) @t57))) % 0.37/0.59 (step @p38 :rule trans :premises (@p37 @p36)) % 0.37/0.59 (step @p39 :rule bool-or-de-morgan :args (@t5 @t4 false)) % 0.37/0.59 (step @p40 :rule cong :premises (@p39) :args (@t34)) % 0.37/0.59 (step @p41 :rule trans :premises (@p40 @p38)) % 0.37/0.59 (step @p42 :rule eq_resolve :premises (@p15 @p41)) % 0.37/0.59 (step @p43 :rule and_elim :premises (@p42) :args (0)) % 0.37/0.59 (step @p44 :rule aci_norm :args ((= (or @t60 @t62) @t61))) % 0.37/0.59 (step @p45 :rule aci_norm :args ((= (or (or @t59 @t58) @t41) @t62))) % 0.37/0.59 (step @p46 :rule refl :args (@t41)) % 0.37/0.59 (step @p47 :rule bool-and-de-morgan :args (@t43 @t42 true)) % 0.37/0.59 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or (not @t44) @t41))) % 0.37/0.59 (step @p49 :rule trans :premises (@p48 @p45)) % 0.37/0.59 (step @p50 :rule bool-impl-elim :args (@t44 @t41)) % 0.37/0.59 (step @p51 :rule trans :premises (@p50 @p49)) % 0.37/0.59 (step @p52 :rule refl :args (@t60)) % 0.37/0.59 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t60 @t45))) % 0.37/0.59 (step @p54 :rule trans :premises (@p53 @p44)) % 0.37/0.59 (step @p55 :rule bool-impl-elim :args (@t46 @t45)) % 0.37/0.59 (step @p56 :rule trans :premises (@p55 @p54)) % 0.37/0.59 (step @p57 :rule cong :premises (@p56) :args (@t48)) % 0.37/0.59 (step @p58 :rule cong :premises (@p57) :args (@t49)) % 0.37/0.59 (step @p59 :rule eq_resolve :premises (@p32 @p58)) % 0.37/0.59 (step @p60 :rule skolemize :premises (@p59)) % 0.37/0.59 (step @p61 :rule bool-double-not-elim :args (@t68)) % 0.37/0.59 (step @p62 :rule refl :args (@t71)) % 0.37/0.59 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t71 (not @t70)))) % 0.37/0.59 (step @p64 :rule cnf_or_neg :args (@t71 0)) % 0.37/0.59 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.37/0.59 (step @p66 :rule reordering :premises (@p65) :args ((or @t68 @t71))) % 0.37/0.59 (step @p67 :rule chain_m_resolution :premises (@p66 @p60) :args (@t68 (@list true) (@list @t71))) % 0.37/0.59 (assume-push @p74 @t72) % 0.37/0.59 (step @p69 :rule instantiate :premises (@p43) :args ((@list @t67 @t66))) % 0.37/0.59 (step-pop @p75 :rule scope :premises (@p69)) % 0.37/0.59 (step @p70 :rule process_scope :premises (@p75) :args (@t70)) % 0.37/0.59 (step @p72 :rule implies_elim :premises (@p70)) % 0.37/0.59 (step @p73 false :rule chain_m_resolution :premises (@p72 @p67 @p43) :args (false (@list false false) (@list @t68 @t72))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------