%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO200+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 : n001.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 08:16:41 AM UTC 2026 % Result : Theorem 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO200+1 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n001.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 23:40:35 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.58 % SZS status Theorem % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.58 (define @t2 () (@list @t1)) % 0.39/0.58 (define @t3 () (@var "Z" $$unsorted)) % 0.39/0.58 (define @t4 () (@var "Y" $$unsorted)) % 0.39/0.58 (define @t5 () (tptp.distinct_points @t4 @t3)) % 0.39/0.58 (define @t6 () (tptp.distinct_points @t1 @t3)) % 0.39/0.58 (define @t7 () (or @t6 @t5)) % 0.39/0.58 (define @t8 () (tptp.distinct_points @t1 @t4)) % 0.39/0.58 (define @t9 () (@list @t1 @t4 @t3)) % 0.39/0.58 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.39/0.58 (define @t11 () (tptp.distinct_lines @t4 @t3)) % 0.39/0.58 (define @t12 () (tptp.convergent_lines @t1 @t3)) % 0.39/0.58 (define @t13 () (tptp.convergent_lines @t1 @t4)) % 0.39/0.58 (define @t14 () (tptp.line_connecting @t1 @t4)) % 0.39/0.58 (define @t15 () (not (tptp.apart_point_and_line @t1 @t14))) % 0.39/0.58 (define @t16 () (@list @t1 @t4)) % 0.39/0.58 (define @t17 () (forall @t16 (=> @t8 @t15))) % 0.39/0.58 (define @t18 () (not (tptp.apart_point_and_line @t4 @t14))) % 0.39/0.58 (define @t19 () (forall @t16 (=> @t8 @t18))) % 0.39/0.58 (define @t20 () (tptp.intersection_point @t1 @t4)) % 0.39/0.58 (define @t21 () (@var "V" $$unsorted)) % 0.39/0.58 (define @t22 () (tptp.apart_point_and_line @t4 @t21)) % 0.39/0.58 (define @t23 () (@var "U" $$unsorted)) % 0.39/0.58 (define @t24 () (tptp.apart_point_and_line @t4 @t23)) % 0.39/0.58 (define @t25 () (tptp.apart_point_and_line @t1 @t21)) % 0.39/0.58 (define @t26 () (tptp.apart_point_and_line @t1 @t23)) % 0.39/0.58 (define @t27 () (or @t26 @t25 @t24 @t22)) % 0.39/0.58 (define @t28 () (tptp.distinct_lines @t23 @t21)) % 0.39/0.58 (define @t29 () (and @t8 @t28)) % 0.39/0.58 (define @t30 () (forall (@list @t1 @t4 @t23 @t21) (=> @t29 @t27))) % 0.39/0.58 (define @t31 () (tptp.apart_point_and_line @t1 @t4)) % 0.39/0.58 (define @t32 () (not (tptp.distinct_lines @t14 (tptp.line_connecting @t4 @t1)))) % 0.39/0.58 (define @t33 () (forall @t16 (=> @t8 @t32))) % 0.39/0.58 (define @t34 () (not @t33)) % 0.39/0.58 (define @t35 () (not @t8)) % 0.39/0.58 (define @t36 () (forall @t16 (or @t35 @t32))) % 0.39/0.58 (define @t37 () (@quantifiers_skolemize @t36 1)) % 0.39/0.58 (define @t38 () (@quantifiers_skolemize @t36 0)) % 0.39/0.58 (define @t39 () (tptp.distinct_points @t38 @t37)) % 0.39/0.58 (define @t40 () (tptp.line_connecting @t37 @t38)) % 0.39/0.58 (define @t41 () (tptp.line_connecting @t38 @t37)) % 0.39/0.58 (define @t42 () (tptp.distinct_lines @t41 @t40)) % 0.39/0.58 (define @t43 () (not @t42)) % 0.39/0.58 (define @t44 () (not @t39)) % 0.39/0.58 (define @t45 () (or @t44 @t43)) % 0.39/0.58 (define @t46 () (@list true)) % 0.39/0.58 (define @t47 () (@list @t45)) % 0.39/0.58 (define @t48 () (not @t28)) % 0.39/0.58 (define @t49 () (@list @t38 @t37)) % 0.39/0.58 (define @t50 () (tptp.apart_point_and_line @t38 @t41)) % 0.39/0.58 (define @t51 () (not @t50)) % 0.39/0.58 (define @t52 () (or @t44 @t51)) % 0.39/0.58 (define @t53 () (@list false false)) % 0.39/0.58 (define @t54 () (tptp.apart_point_and_line @t37 @t41)) % 0.39/0.58 (define @t55 () (not @t54)) % 0.39/0.58 (define @t56 () (or @t44 @t55)) % 0.39/0.58 (define @t57 () (@list @t37 @t38)) % 0.39/0.58 (define @t58 () (tptp.distinct_points @t37 @t38)) % 0.39/0.58 (define @t59 () (tptp.distinct_points @t38 @t38)) % 0.39/0.58 (define @t60 () (or @t44 @t59 @t58)) % 0.39/0.58 (define @t61 () (tptp.apart_point_and_line @t37 @t40)) % 0.39/0.58 (define @t62 () (not @t61)) % 0.39/0.58 (define @t63 () (not @t58)) % 0.39/0.58 (define @t64 () (or @t63 @t62)) % 0.39/0.58 (define @t65 () (tptp.apart_point_and_line @t38 @t40)) % 0.39/0.58 (define @t66 () (not @t65)) % 0.39/0.58 (define @t67 () (or @t63 @t66)) % 0.39/0.58 (define @t68 () (or @t44 @t43 @t50 @t65 @t54 @t61)) % 0.39/0.58 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.39/0.58 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.39/0.58 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.39/0.58 (assume @p4 @t10) % 0.39/0.58 (assume @p5 (forall @t9 (=> (tptp.distinct_lines @t1 @t4) (or (tptp.distinct_lines @t1 @t3) @t11)))) % 0.39/0.58 (assume @p6 (forall @t9 (=> @t13 (or @t12 (tptp.convergent_lines @t4 @t3))))) % 0.39/0.58 (assume @p7 @t17) % 0.39/0.58 (assume @p8 @t19) % 0.39/0.58 (assume @p9 (forall @t16 (=> @t13 (not (tptp.apart_point_and_line @t20 @t1))))) % 0.39/0.58 (assume @p10 (forall @t16 (=> @t13 (not (tptp.apart_point_and_line @t20 @t4))))) % 0.39/0.58 (assume @p11 @t30) % 0.39/0.58 (assume @p12 (forall @t9 (=> @t31 (or @t6 (tptp.apart_point_and_line @t3 @t4))))) % 0.39/0.58 (assume @p13 (forall @t9 (=> @t31 (or @t11 (tptp.apart_point_and_line @t1 @t3))))) % 0.39/0.58 (assume @p14 (forall @t9 (=> @t13 (or @t11 @t12)))) % 0.39/0.58 (assume @p15 @t34) % 0.39/0.58 (assume @p16 true) % 0.39/0.58 (step @p17 :rule bool-impl-elim :args (@t8 @t32)) % 0.39/0.58 (step @p18 :rule cong :premises (@p17) :args (@t33)) % 0.39/0.58 (step @p19 :rule cong :premises (@p18) :args (@t34)) % 0.39/0.58 (step @p20 :rule eq_resolve :premises (@p15 @p19)) % 0.39/0.58 (step @p21 :rule skolemize :premises (@p20)) % 0.39/0.58 (step @p22 :rule bool-double-not-elim :args (@t39)) % 0.39/0.58 (step @p23 :rule refl :args (@t45)) % 0.39/0.58 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or @t45 (not @t44)))) % 0.39/0.58 (step @p25 :rule cnf_or_neg :args (@t45 0)) % 0.39/0.58 (step @p26 :rule eq_resolve :premises (@p25 @p24)) % 0.39/0.58 (step @p27 :rule reordering :premises (@p26) :args ((or @t39 @t45))) % 0.39/0.58 (step @p28 :rule chain_m_resolution :premises (@p27 @p21) :args (@t39 @t46 @t47)) % 0.39/0.58 (step @p29 :rule bool-double-not-elim :args (@t42)) % 0.39/0.58 (step @p30 :rule nary_cong :premises (@p23 @p29) :args ((or @t45 (not @t43)))) % 0.39/0.58 (step @p31 :rule cnf_or_neg :args (@t45 1)) % 0.39/0.58 (step @p32 :rule eq_resolve :premises (@p31 @p30)) % 0.39/0.58 (step @p33 :rule reordering :premises (@p32) :args ((or @t42 @t45))) % 0.39/0.58 (step @p34 :rule chain_m_resolution :premises (@p33 @p21) :args (@t42 @t46 @t47)) % 0.39/0.58 (step @p35 :rule aci_norm :args ((= (or (or @t35 @t48) @t27) (or @t35 @t48 @t26 @t25 @t24 @t22)))) % 0.39/0.58 (step @p36 :rule refl :args (@t27)) % 0.39/0.58 (step @p37 :rule bool-and-de-morgan :args (@t8 @t28 true)) % 0.39/0.58 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or (not @t29) @t27))) % 0.39/0.58 (step @p39 :rule trans :premises (@p38 @p35)) % 0.39/0.58 (step @p40 :rule bool-impl-elim :args (@t29 @t27)) % 0.39/0.58 (step @p41 :rule trans :premises (@p40 @p39)) % 0.39/0.58 (step @p42 :rule cong :premises (@p41) :args (@t30)) % 0.39/0.58 (step @p43 :rule eq_resolve :premises (@p11 @p42)) % 0.39/0.58 (step @p44 :rule instantiate :premises (@p43) :args ((@list @t38 @t37 @t41 @t40))) % 0.39/0.58 (step @p45 :rule bool-impl-elim :args (@t8 @t15)) % 0.39/0.58 (step @p46 :rule cong :premises (@p45) :args (@t17)) % 0.39/0.58 (step @p47 :rule eq_resolve :premises (@p7 @p46)) % 0.39/0.58 (step @p48 :rule instantiate :premises (@p47) :args (@t49)) % 0.39/0.58 (step @p49 :rule cnf_or_pos :args (@t52)) % 0.39/0.58 (step @p50 :rule reordering :premises (@p49) :args ((or @t44 @t51 (not @t52)))) % 0.39/0.58 (step @p51 :rule chain_m_resolution :premises (@p50 @p28 @p48) :args (@t51 @t53 (@list @t39 @t52))) % 0.39/0.58 (step @p52 :rule bool-impl-elim :args (@t8 @t18)) % 0.39/0.58 (step @p53 :rule cong :premises (@p52) :args (@t19)) % 0.39/0.58 (step @p54 :rule eq_resolve :premises (@p8 @p53)) % 0.39/0.58 (step @p55 :rule instantiate :premises (@p54) :args (@t49)) % 0.39/0.58 (step @p56 :rule cnf_or_pos :args (@t56)) % 0.39/0.58 (step @p57 :rule reordering :premises (@p56) :args ((or @t44 @t55 (not @t56)))) % 0.39/0.58 (step @p58 :rule chain_m_resolution :premises (@p57 @p28 @p55) :args (@t55 @t53 (@list @t39 @t56))) % 0.39/0.58 (step @p59 :rule instantiate :premises (@p47) :args (@t57)) % 0.39/0.58 (step @p60 :rule aci_norm :args ((= (or @t35 @t7) (or @t35 @t6 @t5)))) % 0.39/0.58 (step @p61 :rule bool-impl-elim :args (@t8 @t7)) % 0.39/0.58 (step @p62 :rule trans :premises (@p61 @p60)) % 0.39/0.58 (step @p63 :rule cong :premises (@p62) :args (@t10)) % 0.39/0.58 (step @p64 :rule eq_resolve :premises (@p4 @p63)) % 0.39/0.58 (step @p65 :rule instantiate :premises (@p64) :args ((@list @t38 @t37 @t38))) % 0.39/0.58 (step @p66 :rule instantiate :premises (@p1) :args ((@list @t38))) % 0.39/0.58 (step @p67 :rule cnf_or_pos :args (@t60)) % 0.39/0.58 (step @p68 :rule reordering :premises (@p67) :args ((or @t44 @t58 @t59 (not @t60)))) % 0.39/0.58 (step @p69 :rule chain_m_resolution :premises (@p68 @p28 @p66 @p65) :args (@t58 (@list false true false) (@list @t39 @t59 @t60))) % 0.39/0.58 (step @p70 :rule cnf_or_pos :args (@t64)) % 0.39/0.58 (step @p71 :rule reordering :premises (@p70) :args ((or @t63 @t62 (not @t64)))) % 0.39/0.58 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p59) :args (@t62 @t53 (@list @t58 @t64))) % 0.39/0.58 (step @p73 :rule instantiate :premises (@p54) :args (@t57)) % 0.39/0.58 (step @p74 :rule cnf_or_pos :args (@t67)) % 0.39/0.58 (step @p75 :rule reordering :premises (@p74) :args ((or @t63 @t66 (not @t67)))) % 0.39/0.58 (step @p76 :rule chain_m_resolution :premises (@p75 @p69 @p73) :args (@t66 @t53 (@list @t58 @t67))) % 0.39/0.58 (step @p77 :rule cnf_or_pos :args (@t68)) % 0.39/0.58 (step @p78 :rule reordering :premises (@p77) :args ((or @t44 @t43 @t50 @t61 @t54 @t65 (not @t68)))) % 0.39/0.58 (step @p79 false :rule chain_m_resolution :premises (@p78 @p76 @p72 @p58 @p51 @p44 @p34 @p28) :args (false (@list true true true true false false false) (@list @t65 @t61 @t54 @t50 @t68 @t42 @t39))) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------