%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO217+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 08:16:47 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 % 0.00/0.12 % Problem : GEO217+1 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n026.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 23:40:40 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.50 %----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 $$unsorted 0) % 0.37/0.59 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.59 (define @t2 () (@list @t1)) % 0.37/0.59 (define @t3 () (@var "Z" $$unsorted)) % 0.37/0.59 (define @t4 () (@var "Y" $$unsorted)) % 0.37/0.59 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.37/0.59 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.37/0.59 (define @t7 () (@list @t1 @t4 @t3)) % 0.37/0.59 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.37/0.59 (define @t9 () (tptp.convergent_lines @t4 @t3)) % 0.37/0.59 (define @t10 () (tptp.convergent_lines @t1 @t3)) % 0.37/0.59 (define @t11 () (or @t10 @t9)) % 0.37/0.59 (define @t12 () (tptp.convergent_lines @t1 @t4)) % 0.37/0.59 (define @t13 () (forall @t7 (=> @t12 @t11))) % 0.37/0.59 (define @t14 () (tptp.line_connecting @t1 @t4)) % 0.37/0.59 (define @t15 () (@list @t1 @t4)) % 0.37/0.59 (define @t16 () (tptp.intersection_point @t1 @t4)) % 0.37/0.59 (define @t17 () (@var "V" $$unsorted)) % 0.37/0.59 (define @t18 () (@var "U" $$unsorted)) % 0.37/0.59 (define @t19 () (tptp.apart_point_and_line @t1 @t4)) % 0.37/0.59 (define @t20 () (@var "M" $$unsorted)) % 0.37/0.59 (define @t21 () (@var "L" $$unsorted)) % 0.37/0.59 (define @t22 () (not (tptp.unorthogonal_lines @t21 @t20))) % 0.37/0.59 (define @t23 () (tptp.convergent_lines @t21 @t20)) % 0.37/0.59 (define @t24 () (not @t23)) % 0.37/0.59 (define @t25 () (@var "N" $$unsorted)) % 0.37/0.59 (define @t26 () (not (tptp.convergent_lines @t20 @t25))) % 0.37/0.59 (define @t27 () (not (tptp.unorthogonal_lines @t21 @t25))) % 0.37/0.59 (define @t28 () (tptp.convergent_lines @t21 @t25)) % 0.37/0.59 (define @t29 () (not @t28)) % 0.37/0.59 (define @t30 () (@list @t21 @t20 @t25)) % 0.37/0.59 (define @t31 () (and @t24 @t29)) % 0.37/0.59 (define @t32 () (forall @t30 (=> @t31 @t26))) % 0.37/0.59 (define @t33 () (not @t32)) % 0.37/0.59 (define @t34 () (not @t12)) % 0.37/0.59 (define @t35 () (or @t34 @t10 @t9)) % 0.37/0.59 (define @t36 () (or @t23 @t28 @t26)) % 0.37/0.59 (define @t37 () (forall @t30 @t36)) % 0.37/0.59 (define @t38 () (@quantifiers_skolemize @t37 0)) % 0.37/0.59 (define @t39 () (@quantifiers_skolemize @t37 2)) % 0.37/0.59 (define @t40 () (@quantifiers_skolemize @t37 1)) % 0.37/0.59 (define @t41 () (tptp.convergent_lines @t40 @t39)) % 0.37/0.59 (define @t42 () (not @t41)) % 0.37/0.59 (define @t43 () (tptp.convergent_lines @t38 @t39)) % 0.37/0.59 (define @t44 () (tptp.convergent_lines @t38 @t40)) % 0.37/0.59 (define @t45 () (or @t44 @t43 @t42)) % 0.37/0.59 (define @t46 () (@list true)) % 0.37/0.59 (define @t47 () (@list @t45)) % 0.37/0.59 (define @t48 () (tptp.convergent_lines @t39 @t39)) % 0.37/0.59 (define @t49 () (tptp.convergent_lines @t39 @t38)) % 0.37/0.59 (define @t50 () (not @t49)) % 0.37/0.59 (define @t51 () (or @t50 @t48 @t43)) % 0.37/0.59 (define @t52 () (@list true true false)) % 0.37/0.59 (define @t53 () (tptp.convergent_lines @t40 @t38)) % 0.37/0.59 (define @t54 () (or @t42 @t53 @t49)) % 0.37/0.59 (define @t55 () (tptp.convergent_lines @t40 @t40)) % 0.37/0.59 (define @t56 () (not @t53)) % 0.37/0.59 (define @t57 () (or @t56 @t55 @t44)) % 0.37/0.59 (define @t58 () (not @t57)) % 0.37/0.59 (define @t59 () (forall @t7 @t35)) % 0.37/0.59 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.37/0.59 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.37/0.59 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.37/0.59 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.37/0.59 (assume @p5 (forall @t7 (=> (tptp.distinct_lines @t1 @t4) (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.37/0.59 (assume @p6 @t13) % 0.37/0.59 (assume @p7 (forall @t15 (=> @t6 (not (tptp.apart_point_and_line @t1 @t14))))) % 0.37/0.59 (assume @p8 (forall @t15 (=> @t6 (not (tptp.apart_point_and_line @t4 @t14))))) % 0.37/0.59 (assume @p9 (forall @t15 (=> @t12 (not (tptp.apart_point_and_line @t16 @t1))))) % 0.37/0.59 (assume @p10 (forall @t15 (=> @t12 (not (tptp.apart_point_and_line @t16 @t4))))) % 0.37/0.59 (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))))) % 0.37/0.59 (assume @p12 (forall @t7 (=> @t19 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.37/0.59 (assume @p13 (forall @t7 (=> @t19 (or @t8 (tptp.apart_point_and_line @t1 @t3))))) % 0.37/0.59 (assume @p14 (forall @t7 (=> @t12 (or @t8 @t10)))) % 0.37/0.59 (assume @p15 (forall (@list @t21 @t20) (not (and @t24 @t22)))) % 0.37/0.59 (assume @p16 (forall @t30 (=> (and (or @t24 @t22) (or @t29 @t27)) (or @t26 (not (tptp.unorthogonal_lines @t20 @t25)))))) % 0.37/0.59 (assume @p17 (forall @t30 (=> (and @t22 @t27) @t26))) % 0.37/0.59 (assume @p18 @t33) % 0.37/0.59 (assume @p19 true) % 0.37/0.59 (step @p20 :rule aci_norm :args ((= (or @t34 @t11) @t35))) % 0.37/0.59 (step @p21 :rule bool-impl-elim :args (@t12 @t11)) % 0.37/0.59 (step @p22 :rule trans :premises (@p21 @p20)) % 0.37/0.59 (step @p23 :rule cong :premises (@p22) :args (@t13)) % 0.37/0.59 (step @p24 :rule eq_resolve :premises (@p6 @p23)) % 0.37/0.59 (step @p25 :rule instantiate :premises (@p24) :args ((@list @t40 @t39 @t38))) % 0.37/0.59 (step @p26 :rule instantiate :premises (@p24) :args ((@list @t39 @t38 @t39))) % 0.37/0.59 (step @p27 :rule instantiate :premises (@p3) :args ((@list @t39))) % 0.37/0.59 (step @p28 :rule aci_norm :args ((= (or (or @t23 @t28) @t26) @t36))) % 0.37/0.59 (step @p29 :rule refl :args (@t26)) % 0.37/0.59 (step @p30 :rule bool-double-not-elim :args (@t28)) % 0.37/0.59 (step @p31 :rule bool-double-not-elim :args (@t23)) % 0.37/0.59 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or (not @t24) (not @t29)))) % 0.37/0.59 (step @p33 :rule bool-and-de-morgan :args (@t24 @t29 true)) % 0.37/0.59 (step @p34 :rule trans :premises (@p33 @p32)) % 0.37/0.59 (step @p35 :rule nary_cong :premises (@p34 @p29) :args ((or (not @t31) @t26))) % 0.37/0.59 (step @p36 :rule trans :premises (@p35 @p28)) % 0.37/0.59 (step @p37 :rule bool-impl-elim :args (@t31 @t26)) % 0.37/0.59 (step @p38 :rule trans :premises (@p37 @p36)) % 0.37/0.59 (step @p39 :rule cong :premises (@p38) :args (@t32)) % 0.37/0.59 (step @p40 :rule cong :premises (@p39) :args (@t33)) % 0.37/0.59 (step @p41 :rule eq_resolve :premises (@p18 @p40)) % 0.37/0.59 (step @p42 :rule skolemize :premises (@p41)) % 0.37/0.59 (step @p43 :rule cnf_or_neg :args (@t45 1)) % 0.37/0.59 (step @p44 :rule chain_m_resolution :premises (@p43 @p42) :args ((not @t43) @t46 @t47)) % 0.37/0.59 (step @p45 :rule cnf_or_pos :args (@t51)) % 0.37/0.59 (step @p46 :rule reordering :premises (@p45) :args ((or @t43 @t48 @t50 (not @t51)))) % 0.37/0.59 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p27 @p26) :args (@t50 @t52 (@list @t43 @t48 @t51))) % 0.37/0.59 (step @p48 :rule bool-double-not-elim :args (@t41)) % 0.37/0.59 (step @p49 :rule refl :args (@t45)) % 0.37/0.59 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or @t45 (not @t42)))) % 0.37/0.59 (step @p51 :rule cnf_or_neg :args (@t45 2)) % 0.37/0.59 (step @p52 :rule eq_resolve :premises (@p51 @p50)) % 0.37/0.59 (step @p53 :rule reordering :premises (@p52) :args ((or @t41 @t45))) % 0.37/0.59 (step @p54 :rule chain_m_resolution :premises (@p53 @p42) :args (@t41 @t46 @t47)) % 0.37/0.59 (step @p55 :rule cnf_or_pos :args (@t54)) % 0.37/0.59 (step @p56 :rule reordering :premises (@p55) :args ((or @t42 @t53 @t49 (not @t54)))) % 0.37/0.59 (step @p57 :rule chain_m_resolution :premises (@p56 @p54 @p47 @p25) :args (@t53 (@list false true false) (@list @t41 @t49 @t54))) % 0.37/0.59 (step @p58 :rule instantiate :premises (@p3) :args ((@list @t40))) % 0.37/0.59 (step @p59 :rule cnf_or_neg :args (@t45 0)) % 0.37/0.59 (step @p60 :rule chain_m_resolution :premises (@p59 @p42) :args ((not @t44) @t46 @t47)) % 0.37/0.59 (step @p61 :rule cnf_or_pos :args (@t57)) % 0.37/0.59 (step @p62 :rule reordering :premises (@p61) :args ((or @t44 @t55 @t56 @t58))) % 0.37/0.59 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p58 @p57) :args (@t58 @t52 (@list @t44 @t55 @t53))) % 0.37/0.59 (assume-push @p70 @t59) % 0.37/0.59 (step @p65 :rule instantiate :premises (@p24) :args ((@list @t40 @t38 @t40))) % 0.37/0.59 (step-pop @p71 :rule scope :premises (@p65)) % 0.37/0.59 (step @p66 :rule process_scope :premises (@p71) :args (@t57)) % 0.37/0.59 (step @p68 :rule implies_elim :premises (@p66)) % 0.37/0.59 (step @p69 false :rule chain_m_resolution :premises (@p68 @p63 @p24) :args (false (@list true false) (@list @t57 @t59))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------