%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO185+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:16:36 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO185+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n014.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 23:39:43 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.56 (define @t2 () (@list @t1)) % 0.37/0.56 (define @t3 () (@var "Z" $$unsorted)) % 0.37/0.56 (define @t4 () (@var "Y" $$unsorted)) % 0.37/0.56 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.37/0.56 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.37/0.56 (define @t7 () (@list @t1 @t4 @t3)) % 0.37/0.56 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.37/0.56 (define @t9 () (tptp.distinct_lines @t1 @t4)) % 0.37/0.56 (define @t10 () (tptp.convergent_lines @t1 @t4)) % 0.37/0.56 (define @t11 () (tptp.distinct_points @t3 (tptp.intersection_point @t1 @t4))) % 0.37/0.56 (define @t12 () (tptp.apart_point_and_line @t3 @t4)) % 0.37/0.56 (define @t13 () (tptp.apart_point_and_line @t3 @t1)) % 0.37/0.56 (define @t14 () (or @t13 @t12)) % 0.37/0.56 (define @t15 () (=> @t14 @t11)) % 0.37/0.56 (define @t16 () (forall @t7 (=> @t10 @t15))) % 0.37/0.56 (define @t17 () (@var "V" $$unsorted)) % 0.37/0.56 (define @t18 () (@var "U" $$unsorted)) % 0.37/0.56 (define @t19 () (tptp.apart_point_and_line @t1 @t17)) % 0.37/0.56 (define @t20 () (tptp.apart_point_and_line @t1 @t18)) % 0.37/0.56 (define @t21 () (@list @t1 @t4 @t18 @t17)) % 0.37/0.56 (define @t22 () (tptp.apart_point_and_line @t1 @t4)) % 0.37/0.56 (define @t23 () (and (not @t20) (not @t19))) % 0.37/0.56 (define @t24 () (tptp.distinct_points @t1 (tptp.intersection_point @t18 @t17))) % 0.37/0.56 (define @t25 () (not @t24)) % 0.37/0.56 (define @t26 () (tptp.convergent_lines @t18 @t17)) % 0.37/0.56 (define @t27 () (and @t6 @t26 @t25)) % 0.37/0.56 (define @t28 () (forall @t21 (=> @t27 @t23))) % 0.37/0.56 (define @t29 () (not @t28)) % 0.37/0.56 (define @t30 () (and (not @t13) (not @t12))) % 0.37/0.56 (define @t31 () (not @t10)) % 0.37/0.56 (define @t32 () (or @t31 @t30 @t11)) % 0.37/0.56 (define @t33 () (not @t26)) % 0.37/0.56 (define @t34 () (not @t6)) % 0.37/0.56 (define @t35 () (or @t34 @t33 @t24 @t23)) % 0.37/0.56 (define @t36 () (not @t25)) % 0.37/0.56 (define @t37 () (or @t34 @t33 @t36)) % 0.37/0.56 (define @t38 () (forall @t21 @t35)) % 0.37/0.56 (define @t39 () (@quantifiers_skolemize @t38 3)) % 0.37/0.56 (define @t40 () (@quantifiers_skolemize @t38 0)) % 0.37/0.56 (define @t41 () (@quantifiers_skolemize @t38 2)) % 0.37/0.56 (define @t42 () (and (not (tptp.apart_point_and_line @t40 @t41)) (not (tptp.apart_point_and_line @t40 @t39)))) % 0.37/0.56 (define @t43 () (tptp.distinct_points @t40 (tptp.intersection_point @t41 @t39))) % 0.37/0.56 (define @t44 () (tptp.convergent_lines @t41 @t39)) % 0.37/0.56 (define @t45 () (not @t44)) % 0.37/0.56 (define @t46 () (or (not (tptp.distinct_points @t40 (@quantifiers_skolemize @t38 1))) @t45 @t43 @t42)) % 0.37/0.56 (define @t47 () (@list true)) % 0.37/0.56 (define @t48 () (@list @t46)) % 0.37/0.56 (define @t49 () (or @t45 @t42 @t43)) % 0.37/0.56 (define @t50 () (not @t49)) % 0.37/0.56 (define @t51 () (forall @t7 @t32)) % 0.37/0.56 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.37/0.56 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.37/0.56 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.37/0.56 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.37/0.56 (assume @p5 (forall @t7 (=> @t9 (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.37/0.56 (assume @p6 (forall @t7 (=> @t10 (or (tptp.convergent_lines @t1 @t3) (tptp.convergent_lines @t4 @t3))))) % 0.37/0.56 (assume @p7 (forall @t7 (=> @t6 (=> (tptp.apart_point_and_line @t3 (tptp.line_connecting @t1 @t4)) (and (tptp.distinct_points @t3 @t1) (tptp.distinct_points @t3 @t4)))))) % 0.37/0.56 (assume @p8 @t16) % 0.37/0.56 (assume @p9 (forall @t21 (=> (and @t6 (tptp.distinct_lines @t18 @t17)) (or @t20 @t19 (tptp.apart_point_and_line @t4 @t18) (tptp.apart_point_and_line @t4 @t17))))) % 0.37/0.56 (assume @p10 (forall @t7 (=> @t22 (or @t5 @t12)))) % 0.37/0.56 (assume @p11 (forall @t7 (=> @t22 (or @t8 (tptp.apart_point_and_line @t1 @t3))))) % 0.37/0.56 (assume @p12 (forall (@list @t1 @t4) (=> @t10 @t9))) % 0.37/0.56 (assume @p13 @t29) % 0.37/0.56 (assume @p14 true) % 0.37/0.56 (step @p15 :rule aci_norm :args ((= (or @t31 (or @t30 @t11)) @t32))) % 0.37/0.56 (step @p16 :rule refl :args (@t11)) % 0.37/0.56 (step @p17 :rule bool-or-de-morgan :args (@t13 @t12 false)) % 0.37/0.56 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or (not @t14) @t11))) % 0.37/0.56 (step @p19 :rule bool-impl-elim :args (@t14 @t11)) % 0.37/0.56 (step @p20 :rule trans :premises (@p19 @p18)) % 0.37/0.56 (step @p21 :rule refl :args (@t31)) % 0.37/0.56 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or @t31 @t15))) % 0.37/0.56 (step @p23 :rule trans :premises (@p22 @p15)) % 0.37/0.56 (step @p24 :rule bool-impl-elim :args (@t10 @t15)) % 0.37/0.56 (step @p25 :rule trans :premises (@p24 @p23)) % 0.37/0.56 (step @p26 :rule cong :premises (@p25) :args (@t16)) % 0.37/0.56 (step @p27 :rule eq_resolve :premises (@p8 @p26)) % 0.37/0.56 (step @p28 :rule aci_norm :args ((= (or (or @t34 @t33 @t24) @t23) @t35))) % 0.37/0.56 (step @p29 :rule refl :args (@t23)) % 0.37/0.56 (step @p30 :rule bool-double-not-elim :args (@t24)) % 0.37/0.56 (step @p31 :rule refl :args (@t33)) % 0.37/0.56 (step @p32 :rule refl :args (@t34)) % 0.37/0.56 (step @p33 :rule nary_cong :premises (@p32 @p31 @p30) :args (@t37)) % 0.37/0.56 (step @p34 :rule aci_norm :args ((= (or @t34 (or @t33 @t36)) @t37))) % 0.37/0.56 (step @p35 :rule trans :premises (@p34 @p33)) % 0.37/0.56 (step @p36 :rule bool-and-de-morgan :args (@t26 @t25 true)) % 0.37/0.56 (step @p37 :rule nary_cong :premises (@p32 @p36) :args ((or @t34 (not (and @t26 @t25))))) % 0.37/0.56 (step @p38 :rule bool-and-de-morgan :args (@t6 @t26 (and @t25))) % 0.37/0.56 (step @p39 :rule trans :premises (@p38 @p37)) % 0.37/0.56 (step @p40 :rule trans :premises (@p39 @p35)) % 0.37/0.56 (step @p41 :rule nary_cong :premises (@p40 @p29) :args ((or (not @t27) @t23))) % 0.37/0.56 (step @p42 :rule trans :premises (@p41 @p28)) % 0.37/0.56 (step @p43 :rule bool-impl-elim :args (@t27 @t23)) % 0.37/0.56 (step @p44 :rule trans :premises (@p43 @p42)) % 0.37/0.56 (step @p45 :rule cong :premises (@p44) :args (@t28)) % 0.37/0.56 (step @p46 :rule cong :premises (@p45) :args (@t29)) % 0.37/0.56 (step @p47 :rule eq_resolve :premises (@p13 @p46)) % 0.37/0.56 (step @p48 :rule skolemize :premises (@p47)) % 0.37/0.56 (step @p49 :rule cnf_or_neg :args (@t46 3)) % 0.37/0.56 (step @p50 :rule chain_m_resolution :premises (@p49 @p48) :args ((not @t42) @t47 @t48)) % 0.37/0.56 (step @p51 :rule cnf_or_neg :args (@t46 2)) % 0.37/0.56 (step @p52 :rule chain_m_resolution :premises (@p51 @p48) :args ((not @t43) @t47 @t48)) % 0.37/0.56 (step @p53 :rule bool-double-not-elim :args (@t44)) % 0.37/0.56 (step @p54 :rule refl :args (@t46)) % 0.37/0.56 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t46 (not @t45)))) % 0.37/0.57 (step @p56 :rule cnf_or_neg :args (@t46 1)) % 0.37/0.57 (step @p57 :rule eq_resolve :premises (@p56 @p55)) % 0.37/0.57 (step @p58 :rule reordering :premises (@p57) :args ((or @t44 @t46))) % 0.37/0.57 (step @p59 :rule chain_m_resolution :premises (@p58 @p48) :args (@t44 @t47 @t48)) % 0.37/0.57 (step @p60 :rule cnf_or_pos :args (@t49)) % 0.37/0.57 (step @p61 :rule reordering :premises (@p60) :args ((or @t45 @t43 @t42 @t50))) % 0.37/0.57 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p52 @p50) :args (@t50 (@list false true true) (@list @t44 @t43 @t42))) % 0.37/0.57 (assume-push @p69 @t51) % 0.37/0.57 (step @p64 :rule instantiate :premises (@p27) :args ((@list @t41 @t39 @t40))) % 0.37/0.57 (step-pop @p70 :rule scope :premises (@p64)) % 0.37/0.57 (step @p65 :rule process_scope :premises (@p70) :args (@t49)) % 0.37/0.57 (step @p67 :rule implies_elim :premises (@p65)) % 0.37/0.57 (step @p68 false :rule chain_m_resolution :premises (@p67 @p62 @p27) :args (false (@list true false) (@list @t49 @t51))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------