%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO243+1 : TPTP v9.2.1. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:16:54 AM UTC 2026 % Result : Theorem 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO243+1 : TPTP v9.2.1. Bugfixed v6.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n011.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 23:40:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.58 % SZS status Theorem % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.left_apart_point (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.point (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.unequally_directed_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.between_on_line (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.line (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.reverse_line (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.before_on_line (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.divides_points (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.left_convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (define @t1 () (@var "L" $$unsorted)) % 0.37/0.58 (define @t2 () (tptp.reverse_line @t1)) % 0.37/0.58 (define @t3 () (@var "A" $$unsorted)) % 0.37/0.58 (define @t4 () (tptp.left_apart_point @t3 @t2)) % 0.37/0.58 (define @t5 () (tptp.left_apart_point @t3 @t1)) % 0.37/0.58 (define @t6 () (or @t5 @t4)) % 0.37/0.58 (define @t7 () (@list @t3 @t1)) % 0.37/0.58 (define @t8 () (@var "M" $$unsorted)) % 0.37/0.58 (define @t9 () (tptp.reverse_line @t8)) % 0.37/0.58 (define @t10 () (tptp.unequally_directed_lines @t1 @t9)) % 0.37/0.58 (define @t11 () (tptp.unequally_directed_lines @t1 @t8)) % 0.37/0.58 (define @t12 () (and @t11 @t10)) % 0.37/0.58 (define @t13 () (@list @t1 @t8)) % 0.37/0.58 (define @t14 () (@var "B" $$unsorted)) % 0.37/0.58 (define @t15 () (tptp.left_apart_point @t14 @t1)) % 0.37/0.58 (define @t16 () (tptp.left_apart_point @t14 @t2)) % 0.37/0.58 (define @t17 () (@list @t3 @t14 @t1)) % 0.37/0.58 (define @t18 () (tptp.line_connecting @t3 @t14)) % 0.37/0.58 (define @t19 () (not @t6)) % 0.37/0.58 (define @t20 () (tptp.distinct_points @t3 @t14)) % 0.37/0.58 (define @t21 () (tptp.before_on_line @t1 @t3 @t14)) % 0.37/0.58 (define @t22 () (@var "C" $$unsorted)) % 0.37/0.58 (define @t23 () (@list @t3 @t14 @t22)) % 0.37/0.58 (define @t24 () (@list @t1)) % 0.37/0.58 (define @t25 () (@var "N" $$unsorted)) % 0.37/0.58 (define @t26 () (tptp.distinct_lines @t1 @t8)) % 0.37/0.58 (define @t27 () (@list @t1 @t8 @t25)) % 0.37/0.58 (define @t28 () (tptp.unequally_directed_lines @t8 @t25)) % 0.37/0.58 (define @t29 () (tptp.unequally_directed_lines @t1 @t25)) % 0.37/0.58 (define @t30 () (tptp.reverse_line @t25)) % 0.37/0.58 (define @t31 () (tptp.line @t8)) % 0.37/0.58 (define @t32 () (tptp.line @t1)) % 0.37/0.58 (define @t33 () (tptp.left_convergent_lines @t1 @t8)) % 0.37/0.58 (define @t34 () (or @t33 (tptp.left_convergent_lines @t1 @t9))) % 0.37/0.58 (define @t35 () (forall @t7 @t19)) % 0.37/0.58 (define @t36 () (tptp.point @t3)) % 0.37/0.58 (define @t37 () (@list @t3 @t14)) % 0.37/0.58 (define @t38 () (tptp.intersection_point @t1 @t8)) % 0.37/0.58 (define @t39 () (tptp.parallel_through_point @t1 @t3)) % 0.37/0.58 (define @t40 () (tptp.reverse_line (tptp.line_connecting @t14 @t3))) % 0.37/0.58 (define @t41 () (tptp.left_apart_point @t3 @t9)) % 0.37/0.58 (define @t42 () (tptp.left_apart_point @t22 @t40)) % 0.37/0.58 (define @t43 () (tptp.left_apart_point @t22 @t18)) % 0.37/0.58 (define @t44 () (=> @t43 @t42)) % 0.37/0.58 (define @t45 () (forall @t23 (=> @t20 @t44))) % 0.37/0.58 (define @t46 () (not @t45)) % 0.37/0.58 (define @t47 () (not @t4)) % 0.37/0.58 (define @t48 () (forall @t7 @t47)) % 0.37/0.58 (define @t49 () (@list @t3 @t1)) % 0.37/0.58 (define @t50 () (not @t5)) % 0.37/0.58 (define @t51 () (forall @t7 @t50)) % 0.37/0.58 (define @t52 () (@var "BOUND_VARIABLE_7655" $$unsorted)) % 0.37/0.58 (define @t53 () (@var "BOUND_VARIABLE_7653" $$unsorted)) % 0.37/0.58 (define @t54 () (and @t51 @t48)) % 0.37/0.58 (define @t55 () (not @t43)) % 0.37/0.58 (define @t56 () (not @t20)) % 0.37/0.58 (define @t57 () (or @t56 @t55 @t42)) % 0.37/0.58 (define @t58 () (forall @t23 @t57)) % 0.37/0.58 (define @t59 () (@quantifiers_skolemize @t58 1)) % 0.37/0.58 (define @t60 () (@quantifiers_skolemize @t58 0)) % 0.37/0.58 (define @t61 () (tptp.line_connecting @t60 @t59)) % 0.37/0.58 (define @t62 () (@quantifiers_skolemize @t58 2)) % 0.37/0.58 (define @t63 () (tptp.left_apart_point @t62 @t61)) % 0.37/0.58 (define @t64 () (not @t63)) % 0.37/0.58 (define @t65 () (or (not (tptp.distinct_points @t60 @t59)) @t64 (tptp.left_apart_point @t62 (tptp.reverse_line (tptp.line_connecting @t59 @t60))))) % 0.37/0.58 (define @t66 () (forall (@list @t53 @t52) (not (tptp.left_apart_point @t53 @t52)))) % 0.37/0.58 (assume @p1 (forall @t7 (= (tptp.apart_point_and_line @t3 @t1) @t6))) % 0.37/0.58 (assume @p2 (forall @t13 (= (tptp.convergent_lines @t1 @t8) @t12))) % 0.37/0.58 (assume @p3 (forall @t17 (= (tptp.divides_points @t1 @t3 @t14) (or (and @t5 @t16) (and @t4 @t15))))) % 0.37/0.58 (assume @p4 (forall (@list @t1 @t3 @t14) (= @t21 (and @t20 @t19 (not (or @t15 @t16)) (not (tptp.unequally_directed_lines @t1 @t18)))))) % 0.37/0.58 (assume @p5 (forall (@list @t1 @t3 @t14 @t22) (= (tptp.between_on_line @t1 @t3 @t14 @t22) (or (and @t21 (tptp.before_on_line @t1 @t14 @t22)) (and (tptp.before_on_line @t1 @t22 @t14) (tptp.before_on_line @t1 @t14 @t3)))))) % 0.37/0.58 (assume @p6 (forall (@list @t3) (not (tptp.distinct_points @t3 @t3)))) % 0.37/0.58 (assume @p7 (forall @t23 (=> @t20 (or (tptp.distinct_points @t3 @t22) (tptp.distinct_points @t14 @t22))))) % 0.37/0.58 (assume @p8 (forall @t24 (not (tptp.distinct_lines @t1 @t1)))) % 0.37/0.58 (assume @p9 (forall @t27 (=> @t26 (or (tptp.distinct_lines @t1 @t25) (tptp.distinct_lines @t8 @t25))))) % 0.37/0.58 (assume @p10 (forall @t24 (not (tptp.unequally_directed_lines @t1 @t1)))) % 0.37/0.58 (assume @p11 (forall @t27 (=> @t11 (or @t29 @t28)))) % 0.37/0.58 (assume @p12 (forall @t27 (=> @t12 (or (and @t29 (tptp.unequally_directed_lines @t1 @t30)) (and @t28 (tptp.unequally_directed_lines @t8 @t30)))))) % 0.37/0.58 (assume @p13 (forall @t13 (=> (and @t32 @t31) (or @t11 @t10)))) % 0.37/0.58 (assume @p14 (forall @t13 (=> @t12 @t34))) % 0.37/0.58 (assume @p15 @t35) % 0.37/0.58 (assume @p16 (forall @t13 (not @t34))) % 0.37/0.58 (assume @p17 (forall @t37 (=> (and @t36 (tptp.point @t14) @t20) (tptp.line @t18)))) % 0.37/0.58 (assume @p18 (forall @t13 (=> (and @t32 @t31 @t11 @t10) (tptp.point @t38)))) % 0.37/0.58 (assume @p19 (forall (@list @t1 @t3) (=> (and @t36 @t32) (tptp.line @t39)))) % 0.37/0.58 (assume @p20 (forall @t24 (=> @t32 (tptp.line @t2)))) % 0.37/0.58 (assume @p21 (forall @t37 (=> @t20 (and (not (tptp.apart_point_and_line @t3 @t18)) (not (tptp.apart_point_and_line @t14 @t18)))))) % 0.37/0.58 (assume @p22 (forall @t13 (=> @t12 (and (not (tptp.apart_point_and_line @t38 @t1)) (not (tptp.apart_point_and_line @t38 @t8)))))) % 0.37/0.58 (assume @p23 (forall @t7 (not (tptp.apart_point_and_line @t3 @t39)))) % 0.37/0.58 (assume @p24 (forall @t24 (not (tptp.distinct_lines @t1 @t2)))) % 0.37/0.58 (assume @p25 (forall @t37 (not (tptp.unequally_directed_lines @t18 @t40)))) % 0.37/0.58 (assume @p26 (forall @t7 (not (tptp.unequally_directed_lines @t39 @t1)))) % 0.37/0.58 (assume @p27 (forall (@list @t3 @t14 @t1 @t8) (=> (and @t20 @t26) (or @t5 @t15 (tptp.left_apart_point @t3 @t8) (tptp.left_apart_point @t14 @t8) @t4 @t16 @t41 (tptp.left_apart_point @t14 @t9))))) % 0.37/0.58 (assume @p28 (forall @t17 (=> (and @t20 @t5) (or @t15 (tptp.left_convergent_lines @t18 @t1))))) % 0.37/0.58 (assume @p29 (forall @t17 (=> @t5 (or @t20 @t15)))) % 0.37/0.58 (assume @p30 (forall (@list @t3 @t1 @t8) (=> (and @t5 @t11) (or @t26 @t41)))) % 0.37/0.58 (assume @p31 (forall @t27 (=> @t33 (or @t28 (tptp.left_convergent_lines @t1 @t25))))) % 0.37/0.58 (assume @p32 @t46) % 0.37/0.58 (assume @p33 true) % 0.37/0.58 (step @p34 :rule alpha_equiv :args (@t48 @t49 (@list (@var "BOUND_VARIABLE_7661" $$unsorted) (@var "BOUND_VARIABLE_7663" $$unsorted)))) % 0.37/0.58 (step @p35 :rule alpha_equiv :args (@t51 @t49 (@list @t53 @t52))) % 0.37/0.58 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t54)) % 0.37/0.58 (step @p37 :rule quant-miniscope-and :args ((= (forall @t7 (and @t50 @t47)) @t54))) % 0.37/0.58 (step @p38 :rule trans :premises (@p37 @p36)) % 0.37/0.58 (step @p39 :rule bool-or-de-morgan :args (@t5 @t4 false)) % 0.37/0.58 (step @p40 :rule cong :premises (@p39) :args (@t35)) % 0.37/0.58 (step @p41 :rule trans :premises (@p40 @p38)) % 0.37/0.58 (step @p42 :rule eq_resolve :premises (@p15 @p41)) % 0.37/0.58 (step @p43 :rule and_elim :premises (@p42) :args (0)) % 0.37/0.58 (step @p44 :rule aci_norm :args ((= (or @t56 (or @t55 @t42)) @t57))) % 0.37/0.58 (step @p45 :rule bool-impl-elim :args (@t43 @t42)) % 0.37/0.58 (step @p46 :rule refl :args (@t56)) % 0.37/0.58 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t56 @t44))) % 0.37/0.58 (step @p48 :rule trans :premises (@p47 @p44)) % 0.37/0.58 (step @p49 :rule bool-impl-elim :args (@t20 @t44)) % 0.37/0.58 (step @p50 :rule trans :premises (@p49 @p48)) % 0.37/0.58 (step @p51 :rule cong :premises (@p50) :args (@t45)) % 0.37/0.58 (step @p52 :rule cong :premises (@p51) :args (@t46)) % 0.37/0.58 (step @p53 :rule eq_resolve :premises (@p32 @p52)) % 0.37/0.58 (step @p54 :rule skolemize :premises (@p53)) % 0.37/0.58 (step @p55 :rule bool-double-not-elim :args (@t63)) % 0.37/0.58 (step @p56 :rule refl :args (@t65)) % 0.37/0.58 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t65 (not @t64)))) % 0.37/0.58 (step @p58 :rule cnf_or_neg :args (@t65 1)) % 0.37/0.58 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 0.37/0.58 (step @p60 :rule reordering :premises (@p59) :args ((or @t63 @t65))) % 0.37/0.58 (step @p61 :rule chain_m_resolution :premises (@p60 @p54) :args (@t63 (@list true) (@list @t65))) % 0.37/0.58 (assume-push @p68 @t66) % 0.37/0.58 (step @p63 :rule instantiate :premises (@p43) :args ((@list @t62 @t61))) % 0.37/0.58 (step-pop @p69 :rule scope :premises (@p63)) % 0.37/0.58 (step @p64 :rule process_scope :premises (@p69) :args (@t64)) % 0.37/0.58 (step @p66 :rule implies_elim :premises (@p64)) % 0.37/0.58 (step @p67 false :rule chain_m_resolution :premises (@p66 @p61 @p43) :args (false (@list false false) (@list @t63 @t66))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------