%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO214+2 : 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 : n027.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 08:16:46 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO214+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n027.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Mon Jun 1 23:40:36 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.59 (define @t2 () (@list @t1)) % 0.38/0.59 (define @t3 () (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.38/0.59 (define @t4 () (@var "Z" $$unsorted)) % 0.38/0.59 (define @t5 () (@var "Y" $$unsorted)) % 0.38/0.59 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.38/0.59 (define @t7 () (tptp.distinct_points @t1 @t5)) % 0.38/0.59 (define @t8 () (@list @t1 @t5 @t4)) % 0.38/0.59 (define @t9 () (tptp.distinct_lines @t5 @t4)) % 0.38/0.59 (define @t10 () (tptp.distinct_lines @t1 @t5)) % 0.38/0.59 (define @t11 () (tptp.convergent_lines @t5 @t4)) % 0.38/0.59 (define @t12 () (tptp.convergent_lines @t1 @t4)) % 0.38/0.59 (define @t13 () (or @t12 @t11)) % 0.38/0.59 (define @t14 () (tptp.convergent_lines @t1 @t5)) % 0.38/0.59 (define @t15 () (forall @t8 (=> @t14 @t13))) % 0.38/0.59 (define @t16 () (tptp.apart_point_and_line @t4 @t5)) % 0.38/0.59 (define @t17 () (@var "V" $$unsorted)) % 0.38/0.59 (define @t18 () (@var "U" $$unsorted)) % 0.38/0.59 (define @t19 () (tptp.apart_point_and_line @t1 @t5)) % 0.38/0.59 (define @t20 () (tptp.apart_point_and_line @t1 @t4)) % 0.38/0.59 (define @t21 () (@list @t1 @t5)) % 0.38/0.59 (define @t22 () (tptp.parallel_through_point @t5 @t1)) % 0.38/0.59 (define @t23 () (@var "M" $$unsorted)) % 0.38/0.59 (define @t24 () (@var "L" $$unsorted)) % 0.38/0.59 (define @t25 () (tptp.unorthogonal_lines @t24 @t23)) % 0.38/0.59 (define @t26 () (tptp.convergent_lines @t24 @t23)) % 0.38/0.59 (define @t27 () (@list @t24 @t23)) % 0.38/0.59 (define @t28 () (@var "N" $$unsorted)) % 0.38/0.59 (define @t29 () (tptp.unorthogonal_lines @t23 @t28)) % 0.38/0.59 (define @t30 () (and (tptp.convergent_lines @t23 @t28) @t29)) % 0.38/0.59 (define @t31 () (tptp.unorthogonal_lines @t24 @t28)) % 0.38/0.59 (define @t32 () (and (tptp.convergent_lines @t24 @t28) @t31)) % 0.38/0.59 (define @t33 () (or @t32 @t30)) % 0.38/0.59 (define @t34 () (and @t26 @t25)) % 0.38/0.59 (define @t35 () (forall (@list @t24 @t23 @t28) (=> @t34 @t33))) % 0.38/0.59 (define @t36 () (@var "A" $$unsorted)) % 0.38/0.59 (define @t37 () (tptp.orthogonal_through_point @t24 @t36)) % 0.38/0.59 (define @t38 () (@list @t36 @t24)) % 0.38/0.59 (define @t39 () (tptp.unorthogonal_lines @t23 @t24)) % 0.38/0.59 (define @t40 () (forall @t27 (=> @t25 @t39))) % 0.38/0.59 (define @t41 () (not @t40)) % 0.38/0.59 (define @t42 () (not @t14)) % 0.38/0.59 (define @t43 () (not @t25)) % 0.38/0.59 (define @t44 () (forall @t27 (or @t43 @t39))) % 0.38/0.59 (define @t45 () (@quantifiers_skolemize @t44 1)) % 0.38/0.59 (define @t46 () (@quantifiers_skolemize @t44 0)) % 0.38/0.59 (define @t47 () (not @t26)) % 0.38/0.59 (define @t48 () (tptp.convergent_lines @t46 @t46)) % 0.38/0.59 (define @t49 () (and @t48 (tptp.unorthogonal_lines @t46 @t46))) % 0.38/0.59 (define @t50 () (not @t49)) % 0.38/0.59 (define @t51 () (@list true)) % 0.38/0.59 (define @t52 () (tptp.unorthogonal_lines @t45 @t46)) % 0.38/0.59 (define @t53 () (tptp.unorthogonal_lines @t46 @t45)) % 0.38/0.59 (define @t54 () (not @t53)) % 0.38/0.59 (define @t55 () (or @t54 @t52)) % 0.38/0.59 (define @t56 () (@list @t55)) % 0.38/0.59 (define @t57 () (tptp.convergent_lines @t45 @t46)) % 0.38/0.59 (define @t58 () (and @t57 @t52)) % 0.38/0.59 (define @t59 () (not @t58)) % 0.38/0.59 (define @t60 () (tptp.convergent_lines @t46 @t45)) % 0.38/0.59 (define @t61 () (not @t60)) % 0.38/0.59 (define @t62 () (or @t61 @t54 @t49 @t58)) % 0.38/0.59 (define @t63 () (or @t57 @t52)) % 0.38/0.59 (define @t64 () (tptp.convergent_lines @t45 @t45)) % 0.38/0.59 (define @t65 () (not @t57)) % 0.38/0.59 (define @t66 () (or @t65 @t64 @t60)) % 0.38/0.59 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.38/0.59 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.38/0.59 (assume @p3 @t3) % 0.38/0.59 (assume @p4 (forall @t8 (=> @t7 (or @t6 (tptp.distinct_points @t5 @t4))))) % 0.38/0.59 (assume @p5 (forall @t8 (=> @t10 (or (tptp.distinct_lines @t1 @t4) @t9)))) % 0.38/0.59 (assume @p6 @t15) % 0.38/0.59 (assume @p7 (forall @t8 (=> @t7 (=> (tptp.apart_point_and_line @t4 (tptp.line_connecting @t1 @t5)) (and (tptp.distinct_points @t4 @t1) (tptp.distinct_points @t4 @t5)))))) % 0.38/0.59 (assume @p8 (forall @t8 (=> @t14 (=> (or (tptp.apart_point_and_line @t4 @t1) @t16) (tptp.distinct_points @t4 (tptp.intersection_point @t1 @t5)))))) % 0.38/0.59 (assume @p9 (forall (@list @t1 @t5 @t18 @t17) (=> (and @t7 (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 @t5 @t18) (tptp.apart_point_and_line @t5 @t17))))) % 0.38/0.59 (assume @p10 (forall @t8 (=> @t19 (or @t6 @t16)))) % 0.38/0.59 (assume @p11 (forall @t8 (=> @t19 (or @t9 @t20)))) % 0.38/0.59 (assume @p12 (forall @t21 (=> @t14 @t10))) % 0.38/0.59 (assume @p13 (forall @t21 (not (tptp.convergent_lines @t22 @t5)))) % 0.38/0.59 (assume @p14 (forall @t21 (not (tptp.apart_point_and_line @t1 @t22)))) % 0.38/0.59 (assume @p15 (forall @t8 (=> @t9 (or @t19 @t20 @t11)))) % 0.38/0.59 (assume @p16 (forall @t27 (or @t26 @t25))) % 0.38/0.59 (assume @p17 @t35) % 0.38/0.59 (assume @p18 (forall @t38 (not (tptp.unorthogonal_lines @t37 @t24)))) % 0.38/0.59 (assume @p19 (forall @t38 (not (tptp.apart_point_and_line @t36 @t37)))) % 0.38/0.59 (assume @p20 (forall (@list @t36 @t24 @t23 @t28) (=> (tptp.distinct_lines @t24 @t23) (or (tptp.apart_point_and_line @t36 @t24) (tptp.apart_point_and_line @t36 @t23) @t31 @t29)))) % 0.38/0.59 (assume @p21 @t41) % 0.38/0.59 (assume @p22 true) % 0.38/0.59 (step @p23 :rule aci_norm :args ((= (or @t42 @t13) (or @t42 @t12 @t11)))) % 0.38/0.59 (step @p24 :rule bool-impl-elim :args (@t14 @t13)) % 0.38/0.59 (step @p25 :rule trans :premises (@p24 @p23)) % 0.38/0.59 (step @p26 :rule cong :premises (@p25) :args (@t15)) % 0.38/0.59 (step @p27 :rule eq_resolve :premises (@p6 @p26)) % 0.38/0.59 (step @p28 :rule instantiate :premises (@p27) :args ((@list @t45 @t46 @t45))) % 0.38/0.59 (step @p29 :rule aci_norm :args ((= (or (or @t47 @t43) @t33) (or @t47 @t43 @t32 @t30)))) % 0.38/0.59 (step @p30 :rule refl :args (@t33)) % 0.38/0.59 (step @p31 :rule bool-and-de-morgan :args (@t26 @t25 true)) % 0.38/0.59 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or (not @t34) @t33))) % 0.38/0.59 (step @p33 :rule trans :premises (@p32 @p29)) % 0.38/0.59 (step @p34 :rule bool-impl-elim :args (@t34 @t33)) % 0.38/0.59 (step @p35 :rule trans :premises (@p34 @p33)) % 0.38/0.59 (step @p36 :rule cong :premises (@p35) :args (@t35)) % 0.38/0.59 (step @p37 :rule eq_resolve :premises (@p17 @p36)) % 0.38/0.59 (step @p38 :rule instantiate :premises (@p37) :args ((@list @t46 @t45 @t46))) % 0.38/0.59 (step @p39 :rule instantiate :premises (@p3) :args ((@list @t46))) % 0.38/0.59 (step @p40 :rule cnf_and_pos :args (@t49 0)) % 0.38/0.59 (step @p41 :rule reordering :premises (@p40) :args ((or @t48 @t50))) % 0.38/0.59 (step @p42 :rule chain_m_resolution :premises (@p41 @p39) :args (@t50 @t51 (@list @t48))) % 0.38/0.59 (step @p43 :rule bool-impl-elim :args (@t25 @t39)) % 0.38/0.59 (step @p44 :rule cong :premises (@p43) :args (@t40)) % 0.38/0.59 (step @p45 :rule cong :premises (@p44) :args (@t41)) % 0.38/0.59 (step @p46 :rule eq_resolve :premises (@p21 @p45)) % 0.38/0.59 (step @p47 :rule skolemize :premises (@p46)) % 0.38/0.59 (step @p48 :rule cnf_or_neg :args (@t55 1)) % 0.38/0.59 (step @p49 :rule chain_m_resolution :premises (@p48 @p47) :args ((not @t52) @t51 @t56)) % 0.38/0.59 (step @p50 :rule cnf_and_pos :args (@t58 1)) % 0.38/0.59 (step @p51 :rule reordering :premises (@p50) :args ((or @t52 @t59))) % 0.38/0.59 (step @p52 :rule chain_m_resolution :premises (@p51 @p49) :args (@t59 @t51 (@list @t52))) % 0.38/0.59 (step @p53 :rule bool-double-not-elim :args (@t53)) % 0.38/0.59 (step @p54 :rule refl :args (@t55)) % 0.38/0.59 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t55 (not @t54)))) % 0.38/0.59 (step @p56 :rule cnf_or_neg :args (@t55 0)) % 0.38/0.59 (step @p57 :rule eq_resolve :premises (@p56 @p55)) % 0.38/0.59 (step @p58 :rule reordering :premises (@p57) :args ((or @t53 @t55))) % 0.38/0.59 (step @p59 :rule chain_m_resolution :premises (@p58 @p47) :args (@t53 @t51 @t56)) % 0.38/0.59 (step @p60 :rule cnf_or_pos :args (@t62)) % 0.38/0.59 (step @p61 :rule reordering :premises (@p60) :args ((or @t54 @t58 @t49 @t61 (not @t62)))) % 0.38/0.59 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p52 @p42 @p38) :args (@t61 (@list false true true false) (@list @t53 @t58 @t49 @t62))) % 0.38/0.59 (step @p63 :rule instantiate :premises (@p16) :args ((@list @t45 @t46))) % 0.38/0.59 (step @p64 :rule cnf_or_pos :args (@t63)) % 0.38/0.59 (step @p65 :rule reordering :premises (@p64) :args ((or @t52 @t57 (not @t63)))) % 0.38/0.59 (step @p66 :rule chain_m_resolution :premises (@p65 @p49 @p63) :args (@t57 (@list true false) (@list @t52 @t63))) % 0.38/0.59 (step @p67 :rule cnf_or_pos :args (@t66)) % 0.38/0.59 (step @p68 :rule reordering :premises (@p67) :args ((or @t65 @t64 @t60 (not @t66)))) % 0.38/0.59 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p62 @p28) :args (@t64 (@list false true false) (@list @t57 @t60 @t66))) % 0.38/0.59 (assume-push @p76 @t3) % 0.38/0.59 (step @p71 :rule instantiate :premises (@p3) :args ((@list @t45))) % 0.38/0.59 (step-pop @p77 :rule scope :premises (@p71)) % 0.38/0.59 (step @p72 :rule process_scope :premises (@p77) :args ((not @t64))) % 0.38/0.59 (step @p74 :rule implies_elim :premises (@p72)) % 0.38/0.59 (step @p75 false :rule chain_m_resolution :premises (@p74 @p69 @p3) :args (false (@list false false) (@list @t64 @t3))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------