%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO209+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:16:44 AM UTC 2026 % Result : Theorem 0.32s 0.57s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : GEO209+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.35 % Computer : n026.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.35 % CPULimit : 300 % 0.15/0.35 % WCLimit : 300 % 0.15/0.35 % DateTime : Mon Jun 1 23:40:25 EDT 2026 % 0.15/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.32/0.57 % SZS status Theorem % 0.32/0.57 % SZS output start Proof % 0.32/0.57 ( % 0.32/0.57 (declare-sort $$unsorted 0) % 0.32/0.57 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.57 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.57 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.32/0.57 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.57 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.32/0.57 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.32/0.57 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.32/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.32/0.57 (define @t2 () (@list @t1)) % 0.32/0.57 (define @t3 () (@var "Z" $$unsorted)) % 0.32/0.57 (define @t4 () (@var "Y" $$unsorted)) % 0.32/0.57 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.32/0.57 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.32/0.57 (define @t7 () (@list @t1 @t4 @t3)) % 0.32/0.57 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.32/0.57 (define @t9 () (tptp.convergent_lines @t4 @t3)) % 0.32/0.57 (define @t10 () (tptp.convergent_lines @t1 @t3)) % 0.32/0.57 (define @t11 () (or @t10 @t9)) % 0.32/0.57 (define @t12 () (tptp.convergent_lines @t1 @t4)) % 0.32/0.57 (define @t13 () (forall @t7 (=> @t12 @t11))) % 0.32/0.57 (define @t14 () (tptp.line_connecting @t1 @t4)) % 0.32/0.57 (define @t15 () (@list @t1 @t4)) % 0.32/0.57 (define @t16 () (tptp.intersection_point @t1 @t4)) % 0.32/0.57 (define @t17 () (@var "V" $$unsorted)) % 0.32/0.57 (define @t18 () (@var "U" $$unsorted)) % 0.32/0.57 (define @t19 () (tptp.apart_point_and_line @t1 @t4)) % 0.32/0.57 (define @t20 () (tptp.apart_point_and_line @t1 @t3)) % 0.32/0.57 (define @t21 () (tptp.parallel_through_point @t4 @t1)) % 0.32/0.57 (define @t22 () (or @t19 @t20 @t9)) % 0.32/0.57 (define @t23 () (forall @t7 (=> @t8 @t22))) % 0.32/0.57 (define @t24 () (@var "N" $$unsorted)) % 0.32/0.57 (define @t25 () (@var "M" $$unsorted)) % 0.32/0.57 (define @t26 () (not (tptp.distinct_lines @t25 @t24))) % 0.32/0.57 (define @t27 () (@var "L" $$unsorted)) % 0.32/0.57 (define @t28 () (tptp.convergent_lines @t24 @t27)) % 0.32/0.57 (define @t29 () (not @t28)) % 0.32/0.57 (define @t30 () (tptp.convergent_lines @t25 @t27)) % 0.32/0.57 (define @t31 () (not @t30)) % 0.32/0.57 (define @t32 () (@var "A" $$unsorted)) % 0.32/0.57 (define @t33 () (tptp.apart_point_and_line @t32 @t24)) % 0.32/0.57 (define @t34 () (not @t33)) % 0.32/0.57 (define @t35 () (tptp.apart_point_and_line @t32 @t25)) % 0.32/0.57 (define @t36 () (not @t35)) % 0.32/0.57 (define @t37 () (tptp.apart_point_and_line @t32 @t27)) % 0.32/0.57 (define @t38 () (and @t37 @t36 @t34 @t31 @t29)) % 0.32/0.57 (define @t39 () (@list @t32 @t27 @t25 @t24)) % 0.32/0.57 (define @t40 () (forall @t39 (=> @t38 @t26))) % 0.32/0.57 (define @t41 () (not @t40)) % 0.32/0.57 (define @t42 () (not @t12)) % 0.32/0.57 (define @t43 () (or @t42 @t10 @t9)) % 0.32/0.57 (define @t44 () (not @t8)) % 0.32/0.57 (define @t45 () (not @t37)) % 0.32/0.57 (define @t46 () (or @t45 @t35 @t33 @t30 @t28 @t26)) % 0.32/0.57 (define @t47 () (forall @t39 @t46)) % 0.32/0.57 (define @t48 () (@quantifiers_skolemize @t47 3)) % 0.32/0.57 (define @t49 () (@quantifiers_skolemize @t47 2)) % 0.32/0.57 (define @t50 () (@quantifiers_skolemize @t47 0)) % 0.32/0.57 (define @t51 () (not @t29)) % 0.32/0.57 (define @t52 () (not @t31)) % 0.32/0.57 (define @t53 () (not @t34)) % 0.32/0.57 (define @t54 () (not @t36)) % 0.32/0.57 (define @t55 () (or @t45 @t54 @t53 @t52 @t51)) % 0.32/0.57 (define @t56 () (tptp.distinct_lines @t49 @t48)) % 0.32/0.57 (define @t57 () (not @t56)) % 0.32/0.57 (define @t58 () (@quantifiers_skolemize @t47 1)) % 0.32/0.57 (define @t59 () (tptp.convergent_lines @t48 @t58)) % 0.32/0.57 (define @t60 () (tptp.convergent_lines @t49 @t58)) % 0.32/0.57 (define @t61 () (tptp.apart_point_and_line @t50 @t48)) % 0.32/0.57 (define @t62 () (tptp.apart_point_and_line @t50 @t49)) % 0.32/0.57 (define @t63 () (or (not (tptp.apart_point_and_line @t50 @t58)) @t62 @t61 @t60 @t59 @t57)) % 0.32/0.57 (define @t64 () (@list true)) % 0.32/0.57 (define @t65 () (@list @t63)) % 0.32/0.57 (define @t66 () (tptp.convergent_lines @t49 @t48)) % 0.32/0.57 (define @t67 () (or @t57 @t62 @t61 @t66)) % 0.32/0.57 (define @t68 () (not @t66)) % 0.32/0.57 (define @t69 () (or @t68 @t60 @t59)) % 0.32/0.57 (define @t70 () (not @t69)) % 0.32/0.57 (define @t71 () (forall @t7 @t43)) % 0.32/0.57 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.32/0.57 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.32/0.57 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.32/0.57 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.32/0.57 (assume @p5 (forall @t7 (=> (tptp.distinct_lines @t1 @t4) (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.32/0.57 (assume @p6 @t13) % 0.32/0.57 (assume @p7 (forall @t15 (=> @t6 (not (tptp.apart_point_and_line @t1 @t14))))) % 0.32/0.57 (assume @p8 (forall @t15 (=> @t6 (not (tptp.apart_point_and_line @t4 @t14))))) % 0.32/0.57 (assume @p9 (forall @t15 (=> @t12 (not (tptp.apart_point_and_line @t16 @t1))))) % 0.32/0.57 (assume @p10 (forall @t15 (=> @t12 (not (tptp.apart_point_and_line @t16 @t4))))) % 0.32/0.57 (assume @p11 (forall (@list @t1 @t4 @t18 @t17) (=> (and @t6 (tptp.distinct_lines @t18 @t17)) (or (tptp.apart_point_and_line @t1 @t18) (tptp.apart_point_and_line @t1 @t17) (tptp.apart_point_and_line @t4 @t18) (tptp.apart_point_and_line @t4 @t17))))) % 0.32/0.57 (assume @p12 (forall @t7 (=> @t19 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.32/0.57 (assume @p13 (forall @t7 (=> @t19 (or @t8 @t20)))) % 0.32/0.57 (assume @p14 (forall @t7 (=> @t12 (or @t8 @t10)))) % 0.32/0.57 (assume @p15 (forall @t15 (not (tptp.convergent_lines @t21 @t4)))) % 0.32/0.57 (assume @p16 (forall @t15 (not (tptp.apart_point_and_line @t1 @t21)))) % 0.32/0.57 (assume @p17 @t23) % 0.32/0.57 (assume @p18 @t41) % 0.32/0.57 (assume @p19 true) % 0.32/0.57 (step @p20 :rule aci_norm :args ((= (or @t42 @t11) @t43))) % 0.32/0.57 (step @p21 :rule bool-impl-elim :args (@t12 @t11)) % 0.32/0.57 (step @p22 :rule trans :premises (@p21 @p20)) % 0.32/0.57 (step @p23 :rule cong :premises (@p22) :args (@t13)) % 0.32/0.57 (step @p24 :rule eq_resolve :premises (@p6 @p23)) % 0.32/0.57 (step @p25 :rule aci_norm :args ((= (or @t44 @t22) (or @t44 @t19 @t20 @t9)))) % 0.32/0.57 (step @p26 :rule bool-impl-elim :args (@t8 @t22)) % 0.32/0.57 (step @p27 :rule trans :premises (@p26 @p25)) % 0.32/0.57 (step @p28 :rule cong :premises (@p27) :args (@t23)) % 0.32/0.57 (step @p29 :rule eq_resolve :premises (@p17 @p28)) % 0.32/0.57 (step @p30 :rule instantiate :premises (@p29) :args ((@list @t50 @t49 @t48))) % 0.32/0.57 (step @p31 :rule aci_norm :args ((= (or (or @t45 @t35 @t33 @t30 @t28) @t26) @t46))) % 0.32/0.57 (step @p32 :rule refl :args (@t26)) % 0.32/0.57 (step @p33 :rule bool-double-not-elim :args (@t28)) % 0.32/0.57 (step @p34 :rule bool-double-not-elim :args (@t30)) % 0.32/0.57 (step @p35 :rule bool-double-not-elim :args (@t33)) % 0.32/0.57 (step @p36 :rule bool-double-not-elim :args (@t35)) % 0.32/0.57 (step @p37 :rule refl :args (@t45)) % 0.32/0.57 (step @p38 :rule nary_cong :premises (@p37 @p36 @p35 @p34 @p33) :args (@t55)) % 0.32/0.57 (step @p39 :rule aci_norm :args ((= (or @t45 (or @t54 (or @t53 (or @t52 @t51)))) @t55))) % 0.32/0.57 (step @p40 :rule trans :premises (@p39 @p38)) % 0.32/0.57 (step @p41 :rule bool-and-de-morgan :args (@t31 @t29 true)) % 0.32/0.57 (step @p42 :rule refl :args (@t53)) % 0.32/0.57 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t53 (not (and @t31 @t29))))) % 0.32/0.57 (step @p44 :rule bool-and-de-morgan :args (@t34 @t31 (and @t29))) % 0.32/0.57 (step @p45 :rule trans :premises (@p44 @p43)) % 0.32/0.57 (step @p46 :rule refl :args (@t54)) % 0.32/0.57 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t54 (not (and @t34 @t31 @t29))))) % 0.32/0.57 (step @p48 :rule bool-and-de-morgan :args (@t36 @t34 (and @t31 @t29))) % 0.32/0.57 (step @p49 :rule trans :premises (@p48 @p47)) % 0.32/0.57 (step @p50 :rule nary_cong :premises (@p37 @p49) :args ((or @t45 (not (and @t36 @t34 @t31 @t29))))) % 0.32/0.57 (step @p51 :rule bool-and-de-morgan :args (@t37 @t36 (and @t34 @t31 @t29))) % 0.32/0.57 (step @p52 :rule trans :premises (@p51 @p50)) % 0.32/0.57 (step @p53 :rule trans :premises (@p52 @p40)) % 0.32/0.57 (step @p54 :rule nary_cong :premises (@p53 @p32) :args ((or (not @t38) @t26))) % 0.32/0.57 (step @p55 :rule trans :premises (@p54 @p31)) % 0.32/0.57 (step @p56 :rule bool-impl-elim :args (@t38 @t26)) % 0.32/0.57 (step @p57 :rule trans :premises (@p56 @p55)) % 0.32/0.57 (step @p58 :rule cong :premises (@p57) :args (@t40)) % 0.32/0.57 (step @p59 :rule cong :premises (@p58) :args (@t41)) % 0.32/0.57 (step @p60 :rule eq_resolve :premises (@p18 @p59)) % 0.32/0.57 (step @p61 :rule skolemize :premises (@p60)) % 0.32/0.57 (step @p62 :rule bool-double-not-elim :args (@t56)) % 0.32/0.57 (step @p63 :rule refl :args (@t63)) % 0.32/0.57 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or @t63 (not @t57)))) % 0.32/0.57 (step @p65 :rule cnf_or_neg :args (@t63 5)) % 0.32/0.57 (step @p66 :rule eq_resolve :premises (@p65 @p64)) % 0.32/0.57 (step @p67 :rule reordering :premises (@p66) :args ((or @t56 @t63))) % 0.32/0.57 (step @p68 :rule chain_m_resolution :premises (@p67 @p61) :args (@t56 @t64 @t65)) % 0.32/0.57 (step @p69 :rule cnf_or_neg :args (@t63 2)) % 0.32/0.57 (step @p70 :rule chain_m_resolution :premises (@p69 @p61) :args ((not @t61) @t64 @t65)) % 0.32/0.57 (step @p71 :rule cnf_or_neg :args (@t63 1)) % 0.32/0.57 (step @p72 :rule chain_m_resolution :premises (@p71 @p61) :args ((not @t62) @t64 @t65)) % 0.32/0.57 (step @p73 :rule cnf_or_pos :args (@t67)) % 0.32/0.57 (step @p74 :rule reordering :premises (@p73) :args ((or @t62 @t61 @t57 @t66 (not @t67)))) % 0.32/0.57 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p70 @p68 @p30) :args (@t66 (@list true true false false) (@list @t62 @t61 @t56 @t67))) % 0.32/0.57 (step @p76 :rule cnf_or_neg :args (@t63 4)) % 0.32/0.57 (step @p77 :rule chain_m_resolution :premises (@p76 @p61) :args ((not @t59) @t64 @t65)) % 0.32/0.57 (step @p78 :rule cnf_or_neg :args (@t63 3)) % 0.32/0.57 (step @p79 :rule chain_m_resolution :premises (@p78 @p61) :args ((not @t60) @t64 @t65)) % 0.32/0.57 (step @p80 :rule cnf_or_pos :args (@t69)) % 0.32/0.57 (step @p81 :rule reordering :premises (@p80) :args ((or @t60 @t59 @t68 @t70))) % 0.32/0.57 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p77 @p75) :args (@t70 (@list true true false) (@list @t60 @t59 @t66))) % 0.32/0.57 (assume-push @p89 @t71) % 0.32/0.57 (step @p84 :rule instantiate :premises (@p24) :args ((@list @t49 @t48 @t58))) % 0.32/0.57 (step-pop @p90 :rule scope :premises (@p84)) % 0.32/0.57 (step @p85 :rule process_scope :premises (@p90) :args (@t69)) % 0.32/0.57 (step @p87 :rule implies_elim :premises (@p85)) % 0.32/0.57 (step @p88 false :rule chain_m_resolution :premises (@p87 @p82 @p24) :args (false (@list true false) (@list @t69 @t71))) % 0.32/0.57 ) % 0.32/0.57 % SZS output end Proof % 0.32/0.57 % cvc5 exiting %------------------------------------------------------------------------------