%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO178+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 : n024.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 08:16:33 AM UTC 2026 % Result : Theorem 0.15s 0.36s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GEO178+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.24 % Computer : n024.cluster.edu % 0.07/0.24 % Model : x86_64 x86_64 % 0.07/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.24 % Memory : 8042.1875MB % 0.07/0.24 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Mon Jun 1 18:38:45 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.32 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.36 % SZS status Theorem % 0.15/0.36 % SZS output start Proof % 0.15/0.36 ( % 0.15/0.36 (declare-sort $$unsorted 0) % 0.15/0.36 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.15/0.36 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.15/0.36 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.15/0.36 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.15/0.36 (define @t1 () (@var "X" $$unsorted)) % 0.15/0.36 (define @t2 () (@list @t1)) % 0.15/0.36 (define @t3 () (@var "Z" $$unsorted)) % 0.15/0.36 (define @t4 () (@var "Y" $$unsorted)) % 0.15/0.36 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.15/0.36 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.15/0.36 (define @t7 () (@list @t1 @t4 @t3)) % 0.15/0.36 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.15/0.36 (define @t9 () (tptp.convergent_lines @t1 @t3)) % 0.15/0.36 (define @t10 () (tptp.convergent_lines @t1 @t4)) % 0.15/0.36 (define @t11 () (tptp.line_connecting @t1 @t4)) % 0.15/0.36 (define @t12 () (not (tptp.apart_point_and_line @t1 @t11))) % 0.15/0.36 (define @t13 () (@list @t1 @t4)) % 0.15/0.36 (define @t14 () (forall @t13 (=> @t6 @t12))) % 0.15/0.36 (define @t15 () (not (tptp.apart_point_and_line @t4 @t11))) % 0.15/0.36 (define @t16 () (forall @t13 (=> @t6 @t15))) % 0.15/0.36 (define @t17 () (tptp.intersection_point @t1 @t4)) % 0.15/0.36 (define @t18 () (@var "V" $$unsorted)) % 0.15/0.36 (define @t19 () (@var "U" $$unsorted)) % 0.15/0.36 (define @t20 () (tptp.apart_point_and_line @t3 @t4)) % 0.15/0.36 (define @t21 () (or @t5 @t20)) % 0.15/0.36 (define @t22 () (tptp.apart_point_and_line @t1 @t4)) % 0.15/0.36 (define @t23 () (forall @t7 (=> @t22 @t21))) % 0.15/0.36 (define @t24 () (and (tptp.distinct_points @t3 @t1) (tptp.distinct_points @t3 @t4))) % 0.15/0.36 (define @t25 () (tptp.apart_point_and_line @t3 @t11)) % 0.15/0.36 (define @t26 () (and @t6 @t25)) % 0.15/0.36 (define @t27 () (forall @t7 (=> @t26 @t24))) % 0.15/0.36 (define @t28 () (not @t27)) % 0.15/0.36 (define @t29 () (not @t22)) % 0.15/0.36 (define @t30 () (or @t29 @t5 @t20)) % 0.15/0.36 (define @t31 () (not @t25)) % 0.15/0.36 (define @t32 () (not @t6)) % 0.15/0.36 (define @t33 () (or @t32 @t31 @t24)) % 0.15/0.36 (define @t34 () (forall @t7 @t33)) % 0.15/0.36 (define @t35 () (@quantifiers_skolemize @t34 1)) % 0.15/0.36 (define @t36 () (@quantifiers_skolemize @t34 0)) % 0.15/0.36 (define @t37 () (@list @t36 @t35)) % 0.15/0.36 (define @t38 () (tptp.distinct_points @t36 @t35)) % 0.15/0.36 (define @t39 () (@quantifiers_skolemize @t34 2)) % 0.15/0.36 (define @t40 () (tptp.distinct_points @t39 @t35)) % 0.15/0.36 (define @t41 () (tptp.distinct_points @t39 @t36)) % 0.15/0.36 (define @t42 () (and @t41 @t40)) % 0.15/0.36 (define @t43 () (tptp.line_connecting @t36 @t35)) % 0.15/0.36 (define @t44 () (tptp.apart_point_and_line @t39 @t43)) % 0.15/0.36 (define @t45 () (not @t44)) % 0.15/0.36 (define @t46 () (not @t38)) % 0.15/0.36 (define @t47 () (or @t46 @t45 @t42)) % 0.15/0.36 (define @t48 () (@list true)) % 0.15/0.36 (define @t49 () (@list @t47)) % 0.15/0.36 (define @t50 () (tptp.apart_point_and_line @t35 @t43)) % 0.15/0.36 (define @t51 () (not @t50)) % 0.15/0.36 (define @t52 () (or @t46 @t51)) % 0.15/0.36 (define @t53 () (@list false false)) % 0.15/0.36 (define @t54 () (tptp.apart_point_and_line @t36 @t43)) % 0.15/0.36 (define @t55 () (not @t54)) % 0.15/0.36 (define @t56 () (or @t46 @t55)) % 0.15/0.36 (define @t57 () (or @t45 @t41 @t54)) % 0.15/0.36 (define @t58 () (@list true false)) % 0.15/0.36 (define @t59 () (or @t45 @t40 @t50)) % 0.15/0.36 (define @t60 () (not @t59)) % 0.15/0.36 (define @t61 () (forall @t7 @t30)) % 0.15/0.36 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.15/0.36 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.15/0.36 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.15/0.36 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.15/0.36 (assume @p5 (forall @t7 (=> (tptp.distinct_lines @t1 @t4) (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.15/0.36 (assume @p6 (forall @t7 (=> @t10 (or @t9 (tptp.convergent_lines @t4 @t3))))) % 0.15/0.36 (assume @p7 @t14) % 0.15/0.36 (assume @p8 @t16) % 0.15/0.36 (assume @p9 (forall @t13 (=> @t10 (not (tptp.apart_point_and_line @t17 @t1))))) % 0.15/0.36 (assume @p10 (forall @t13 (=> @t10 (not (tptp.apart_point_and_line @t17 @t4))))) % 0.15/0.36 (assume @p11 (forall (@list @t1 @t4 @t19 @t18) (=> (and @t6 (tptp.distinct_lines @t19 @t18)) (or (tptp.apart_point_and_line @t1 @t19) (tptp.apart_point_and_line @t1 @t18) (tptp.apart_point_and_line @t4 @t19) (tptp.apart_point_and_line @t4 @t18))))) % 0.15/0.36 (assume @p12 @t23) % 0.15/0.36 (assume @p13 (forall @t7 (=> @t22 (or @t8 (tptp.apart_point_and_line @t1 @t3))))) % 0.15/0.36 (assume @p14 (forall @t7 (=> @t10 (or @t8 @t9)))) % 0.15/0.36 (assume @p15 @t28) % 0.15/0.36 (assume @p16 true) % 0.15/0.36 (step @p17 :rule aci_norm :args ((= (or @t29 @t21) @t30))) % 0.15/0.36 (step @p18 :rule bool-impl-elim :args (@t22 @t21)) % 0.15/0.36 (step @p19 :rule trans :premises (@p18 @p17)) % 0.15/0.36 (step @p20 :rule cong :premises (@p19) :args (@t23)) % 0.15/0.36 (step @p21 :rule eq_resolve :premises (@p12 @p20)) % 0.15/0.36 (step @p22 :rule bool-impl-elim :args (@t6 @t15)) % 0.15/0.36 (step @p23 :rule cong :premises (@p22) :args (@t16)) % 0.15/0.36 (step @p24 :rule eq_resolve :premises (@p8 @p23)) % 0.15/0.36 (step @p25 :rule instantiate :premises (@p24) :args (@t37)) % 0.15/0.36 (step @p26 :rule aci_norm :args ((= (or (or @t32 @t31) @t24) @t33))) % 0.15/0.36 (step @p27 :rule refl :args (@t24)) % 0.15/0.36 (step @p28 :rule bool-and-de-morgan :args (@t6 @t25 true)) % 0.15/0.36 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or (not @t26) @t24))) % 0.15/0.36 (step @p30 :rule trans :premises (@p29 @p26)) % 0.15/0.36 (step @p31 :rule bool-impl-elim :args (@t26 @t24)) % 0.15/0.36 (step @p32 :rule trans :premises (@p31 @p30)) % 0.15/0.36 (step @p33 :rule cong :premises (@p32) :args (@t27)) % 0.15/0.36 (step @p34 :rule cong :premises (@p33) :args (@t28)) % 0.15/0.36 (step @p35 :rule eq_resolve :premises (@p15 @p34)) % 0.15/0.36 (step @p36 :rule skolemize :premises (@p35)) % 0.15/0.36 (step @p37 :rule bool-double-not-elim :args (@t38)) % 0.15/0.36 (step @p38 :rule refl :args (@t47)) % 0.15/0.36 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t47 (not @t46)))) % 0.15/0.36 (step @p40 :rule cnf_or_neg :args (@t47 0)) % 0.15/0.36 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 0.15/0.36 (step @p42 :rule reordering :premises (@p41) :args ((or @t38 @t47))) % 0.15/0.36 (step @p43 :rule chain_m_resolution :premises (@p42 @p36) :args (@t38 @t48 @t49)) % 0.15/0.36 (step @p44 :rule cnf_or_pos :args (@t52)) % 0.15/0.36 (step @p45 :rule reordering :premises (@p44) :args ((or @t46 @t51 (not @t52)))) % 0.15/0.36 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p25) :args (@t51 @t53 (@list @t38 @t52))) % 0.15/0.36 (step @p47 :rule instantiate :premises (@p21) :args ((@list @t39 @t43 @t36))) % 0.15/0.36 (step @p48 :rule bool-impl-elim :args (@t6 @t12)) % 0.15/0.36 (step @p49 :rule cong :premises (@p48) :args (@t14)) % 0.15/0.36 (step @p50 :rule eq_resolve :premises (@p7 @p49)) % 0.15/0.36 (step @p51 :rule instantiate :premises (@p50) :args (@t37)) % 0.15/0.36 (step @p52 :rule cnf_or_pos :args (@t56)) % 0.15/0.36 (step @p53 :rule reordering :premises (@p52) :args ((or @t46 @t55 (not @t56)))) % 0.15/0.36 (step @p54 :rule chain_m_resolution :premises (@p53 @p43 @p51) :args (@t55 @t53 (@list @t38 @t56))) % 0.15/0.36 (step @p55 :rule bool-double-not-elim :args (@t44)) % 0.15/0.36 (step @p56 :rule nary_cong :premises (@p38 @p55) :args ((or @t47 (not @t45)))) % 0.15/0.36 (step @p57 :rule cnf_or_neg :args (@t47 1)) % 0.15/0.36 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 0.15/0.36 (step @p59 :rule reordering :premises (@p58) :args ((or @t44 @t47))) % 0.15/0.36 (step @p60 :rule chain_m_resolution :premises (@p59 @p36) :args (@t44 @t48 @t49)) % 0.15/0.36 (step @p61 :rule cnf_or_pos :args (@t57)) % 0.15/0.36 (step @p62 :rule reordering :premises (@p61) :args ((or @t45 @t41 @t54 (not @t57)))) % 0.15/0.36 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p54 @p47) :args (@t41 (@list false true false) (@list @t44 @t54 @t57))) % 0.15/0.36 (step @p64 :rule cnf_or_neg :args (@t47 2)) % 0.15/0.36 (step @p65 :rule chain_m_resolution :premises (@p64 @p36) :args ((not @t42) @t48 @t49)) % 0.15/0.36 (step @p66 :rule cnf_and_neg :args (@t42)) % 0.15/0.36 (step @p67 :rule chain_m_resolution :premises (@p66 @p65 @p63) :args ((not @t40) @t58 (@list @t42 @t41))) % 0.15/0.36 (step @p68 :rule cnf_or_pos :args (@t59)) % 0.15/0.36 (step @p69 :rule reordering :premises (@p68) :args ((or @t45 @t40 @t50 @t60))) % 0.15/0.36 (step @p70 :rule chain_m_resolution :premises (@p69 @p60 @p67 @p46) :args (@t60 (@list false true true) (@list @t44 @t40 @t50))) % 0.15/0.36 (assume-push @p77 @t61) % 0.15/0.36 (step @p72 :rule instantiate :premises (@p21) :args ((@list @t39 @t43 @t35))) % 0.15/0.36 (step-pop @p78 :rule scope :premises (@p72)) % 0.15/0.36 (step @p73 :rule process_scope :premises (@p78) :args (@t59)) % 0.15/0.36 (step @p75 :rule implies_elim :premises (@p73)) % 0.15/0.36 (step @p76 false :rule chain_m_resolution :premises (@p75 @p70 @p21) :args (false @t58 (@list @t59 @t61))) % 0.15/0.36 ) % 0.15/0.36 % SZS output end Proof % 0.15/0.36 % cvc5 exiting %------------------------------------------------------------------------------