%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO236+1 : TPTP v9.2.1. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:16:53 AM UTC 2026 % Result : Theorem 0.36s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : GEO236+1 : TPTP v9.2.1. Bugfixed v6.4.0. % 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n006.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Mon Jun 1 23:41:04 EDT 2026 % 0.15/0.33 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.57 % SZS status Theorem % 0.36/0.57 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort $$unsorted 0) % 0.36/0.57 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.left_apart_point (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.point (-> $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.unequally_directed_lines (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.between_on_line (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.line (-> $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.reverse_line (-> $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.before_on_line (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.divides_points (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.left_convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (define @t1 () (@var "L" $$unsorted)) % 0.36/0.57 (define @t2 () (tptp.reverse_line @t1)) % 0.36/0.57 (define @t3 () (@var "A" $$unsorted)) % 0.36/0.57 (define @t4 () (tptp.left_apart_point @t3 @t2)) % 0.36/0.57 (define @t5 () (tptp.left_apart_point @t3 @t1)) % 0.36/0.57 (define @t6 () (or @t5 @t4)) % 0.36/0.57 (define @t7 () (@list @t3 @t1)) % 0.36/0.57 (define @t8 () (@var "M" $$unsorted)) % 0.36/0.57 (define @t9 () (tptp.reverse_line @t8)) % 0.36/0.57 (define @t10 () (tptp.unequally_directed_lines @t1 @t9)) % 0.36/0.57 (define @t11 () (tptp.unequally_directed_lines @t1 @t8)) % 0.36/0.57 (define @t12 () (and @t11 @t10)) % 0.36/0.57 (define @t13 () (@list @t1 @t8)) % 0.36/0.57 (define @t14 () (@var "B" $$unsorted)) % 0.36/0.57 (define @t15 () (tptp.left_apart_point @t14 @t1)) % 0.36/0.57 (define @t16 () (tptp.left_apart_point @t14 @t2)) % 0.36/0.57 (define @t17 () (@list @t3 @t14 @t1)) % 0.36/0.57 (define @t18 () (tptp.line_connecting @t3 @t14)) % 0.36/0.57 (define @t19 () (not @t6)) % 0.36/0.57 (define @t20 () (tptp.distinct_points @t3 @t14)) % 0.36/0.57 (define @t21 () (tptp.before_on_line @t1 @t3 @t14)) % 0.36/0.57 (define @t22 () (@var "C" $$unsorted)) % 0.36/0.57 (define @t23 () (@list @t1)) % 0.36/0.57 (define @t24 () (@var "N" $$unsorted)) % 0.36/0.57 (define @t25 () (tptp.distinct_lines @t1 @t8)) % 0.36/0.57 (define @t26 () (@list @t1 @t8 @t24)) % 0.36/0.57 (define @t27 () (tptp.unequally_directed_lines @t8 @t24)) % 0.36/0.57 (define @t28 () (tptp.unequally_directed_lines @t1 @t24)) % 0.36/0.57 (define @t29 () (tptp.reverse_line @t24)) % 0.36/0.57 (define @t30 () (tptp.line @t8)) % 0.36/0.57 (define @t31 () (tptp.line @t1)) % 0.36/0.57 (define @t32 () (tptp.left_convergent_lines @t1 @t8)) % 0.36/0.57 (define @t33 () (or @t32 (tptp.left_convergent_lines @t1 @t9))) % 0.36/0.57 (define @t34 () (forall @t7 @t19)) % 0.36/0.57 (define @t35 () (tptp.point @t3)) % 0.36/0.57 (define @t36 () (@list @t3 @t14)) % 0.36/0.57 (define @t37 () (tptp.intersection_point @t1 @t8)) % 0.36/0.57 (define @t38 () (tptp.parallel_through_point @t1 @t3)) % 0.36/0.57 (define @t39 () (tptp.left_apart_point @t3 @t9)) % 0.36/0.57 (define @t40 () (@list @t3 @t1 @t8)) % 0.36/0.57 (define @t41 () (or @t11 @t25)) % 0.36/0.57 (define @t42 () (and @t5 @t39)) % 0.36/0.57 (define @t43 () (forall @t40 (=> @t42 @t41))) % 0.36/0.57 (define @t44 () (not @t43)) % 0.36/0.57 (define @t45 () (not @t4)) % 0.36/0.57 (define @t46 () (forall @t7 @t45)) % 0.36/0.57 (define @t47 () (@list @t3 @t1)) % 0.36/0.57 (define @t48 () (not @t5)) % 0.36/0.57 (define @t49 () (forall @t7 @t48)) % 0.36/0.57 (define @t50 () (@var "BOUND_VARIABLE_7654" $$unsorted)) % 0.36/0.57 (define @t51 () (@var "BOUND_VARIABLE_7652" $$unsorted)) % 0.36/0.57 (define @t52 () (and @t49 @t46)) % 0.36/0.57 (define @t53 () (not @t39)) % 0.36/0.57 (define @t54 () (or @t48 @t53 @t11 @t25)) % 0.36/0.57 (define @t55 () (forall @t40 @t54)) % 0.36/0.57 (define @t56 () (@quantifiers_skolemize @t55 1)) % 0.36/0.57 (define @t57 () (@quantifiers_skolemize @t55 0)) % 0.36/0.57 (define @t58 () (tptp.left_apart_point @t57 @t56)) % 0.36/0.57 (define @t59 () (@quantifiers_skolemize @t55 2)) % 0.36/0.57 (define @t60 () (not @t58)) % 0.36/0.57 (define @t61 () (or @t60 (not (tptp.left_apart_point @t57 (tptp.reverse_line @t59))) (tptp.unequally_directed_lines @t56 @t59) (tptp.distinct_lines @t56 @t59))) % 0.36/0.57 (define @t62 () (forall (@list @t51 @t50) (not (tptp.left_apart_point @t51 @t50)))) % 0.36/0.57 (assume @p1 (forall @t7 (= (tptp.apart_point_and_line @t3 @t1) @t6))) % 0.36/0.57 (assume @p2 (forall @t13 (= (tptp.convergent_lines @t1 @t8) @t12))) % 0.36/0.57 (assume @p3 (forall @t17 (= (tptp.divides_points @t1 @t3 @t14) (or (and @t5 @t16) (and @t4 @t15))))) % 0.36/0.57 (assume @p4 (forall (@list @t1 @t3 @t14) (= @t21 (and @t20 @t19 (not (or @t15 @t16)) (not (tptp.unequally_directed_lines @t1 @t18)))))) % 0.36/0.57 (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)))))) % 0.36/0.57 (assume @p6 (forall (@list @t3) (not (tptp.distinct_points @t3 @t3)))) % 0.36/0.57 (assume @p7 (forall (@list @t3 @t14 @t22) (=> @t20 (or (tptp.distinct_points @t3 @t22) (tptp.distinct_points @t14 @t22))))) % 0.36/0.57 (assume @p8 (forall @t23 (not (tptp.distinct_lines @t1 @t1)))) % 0.36/0.57 (assume @p9 (forall @t26 (=> @t25 (or (tptp.distinct_lines @t1 @t24) (tptp.distinct_lines @t8 @t24))))) % 0.36/0.57 (assume @p10 (forall @t23 (not (tptp.unequally_directed_lines @t1 @t1)))) % 0.36/0.57 (assume @p11 (forall @t26 (=> @t11 (or @t28 @t27)))) % 0.36/0.57 (assume @p12 (forall @t26 (=> @t12 (or (and @t28 (tptp.unequally_directed_lines @t1 @t29)) (and @t27 (tptp.unequally_directed_lines @t8 @t29)))))) % 0.36/0.57 (assume @p13 (forall @t13 (=> (and @t31 @t30) (or @t11 @t10)))) % 0.36/0.57 (assume @p14 (forall @t13 (=> @t12 @t33))) % 0.36/0.57 (assume @p15 @t34) % 0.36/0.57 (assume @p16 (forall @t13 (not @t33))) % 0.36/0.57 (assume @p17 (forall @t36 (=> (and @t35 (tptp.point @t14) @t20) (tptp.line @t18)))) % 0.36/0.57 (assume @p18 (forall @t13 (=> (and @t31 @t30 @t11 @t10) (tptp.point @t37)))) % 0.36/0.57 (assume @p19 (forall (@list @t1 @t3) (=> (and @t35 @t31) (tptp.line @t38)))) % 0.36/0.57 (assume @p20 (forall @t23 (=> @t31 (tptp.line @t2)))) % 0.36/0.57 (assume @p21 (forall @t36 (=> @t20 (and (not (tptp.apart_point_and_line @t3 @t18)) (not (tptp.apart_point_and_line @t14 @t18)))))) % 0.36/0.57 (assume @p22 (forall @t13 (=> @t12 (and (not (tptp.apart_point_and_line @t37 @t1)) (not (tptp.apart_point_and_line @t37 @t8)))))) % 0.36/0.57 (assume @p23 (forall @t7 (not (tptp.apart_point_and_line @t3 @t38)))) % 0.36/0.57 (assume @p24 (forall @t23 (not (tptp.distinct_lines @t1 @t2)))) % 0.36/0.57 (assume @p25 (forall @t36 (not (tptp.unequally_directed_lines @t18 (tptp.reverse_line (tptp.line_connecting @t14 @t3)))))) % 0.36/0.57 (assume @p26 (forall @t7 (not (tptp.unequally_directed_lines @t38 @t1)))) % 0.36/0.57 (assume @p27 (forall (@list @t3 @t14 @t1 @t8) (=> (and @t20 @t25) (or @t5 @t15 (tptp.left_apart_point @t3 @t8) (tptp.left_apart_point @t14 @t8) @t4 @t16 @t39 (tptp.left_apart_point @t14 @t9))))) % 0.36/0.57 (assume @p28 (forall @t17 (=> (and @t20 @t5) (or @t15 (tptp.left_convergent_lines @t18 @t1))))) % 0.36/0.57 (assume @p29 (forall @t17 (=> @t5 (or @t20 @t15)))) % 0.36/0.57 (assume @p30 (forall @t40 (=> (and @t5 @t11) (or @t25 @t39)))) % 0.36/0.57 (assume @p31 (forall @t26 (=> @t32 (or @t27 (tptp.left_convergent_lines @t1 @t24))))) % 0.36/0.57 (assume @p32 @t44) % 0.36/0.57 (assume @p33 true) % 0.36/0.57 (step @p34 :rule alpha_equiv :args (@t46 @t47 (@list (@var "BOUND_VARIABLE_7660" $$unsorted) (@var "BOUND_VARIABLE_7662" $$unsorted)))) % 0.36/0.57 (step @p35 :rule alpha_equiv :args (@t49 @t47 (@list @t51 @t50))) % 0.36/0.57 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t52)) % 0.36/0.57 (step @p37 :rule quant-miniscope-and :args ((= (forall @t7 (and @t48 @t45)) @t52))) % 0.36/0.57 (step @p38 :rule trans :premises (@p37 @p36)) % 0.36/0.57 (step @p39 :rule bool-or-de-morgan :args (@t5 @t4 false)) % 0.36/0.57 (step @p40 :rule cong :premises (@p39) :args (@t34)) % 0.36/0.57 (step @p41 :rule trans :premises (@p40 @p38)) % 0.36/0.57 (step @p42 :rule eq_resolve :premises (@p15 @p41)) % 0.36/0.57 (step @p43 :rule and_elim :premises (@p42) :args (0)) % 0.36/0.57 (step @p44 :rule aci_norm :args ((= (or (or @t48 @t53) @t41) @t54))) % 0.36/0.57 (step @p45 :rule refl :args (@t41)) % 0.36/0.57 (step @p46 :rule bool-and-de-morgan :args (@t5 @t39 true)) % 0.36/0.57 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or (not @t42) @t41))) % 0.36/0.57 (step @p48 :rule trans :premises (@p47 @p44)) % 0.36/0.57 (step @p49 :rule bool-impl-elim :args (@t42 @t41)) % 0.36/0.57 (step @p50 :rule trans :premises (@p49 @p48)) % 0.36/0.57 (step @p51 :rule cong :premises (@p50) :args (@t43)) % 0.36/0.57 (step @p52 :rule cong :premises (@p51) :args (@t44)) % 0.36/0.57 (step @p53 :rule eq_resolve :premises (@p32 @p52)) % 0.36/0.57 (step @p54 :rule skolemize :premises (@p53)) % 0.36/0.57 (step @p55 :rule bool-double-not-elim :args (@t58)) % 0.36/0.57 (step @p56 :rule refl :args (@t61)) % 0.36/0.57 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t61 (not @t60)))) % 0.36/0.57 (step @p58 :rule cnf_or_neg :args (@t61 0)) % 0.36/0.57 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 0.36/0.57 (step @p60 :rule reordering :premises (@p59) :args ((or @t58 @t61))) % 0.36/0.57 (step @p61 :rule chain_m_resolution :premises (@p60 @p54) :args (@t58 (@list true) (@list @t61))) % 0.36/0.57 (assume-push @p68 @t62) % 0.36/0.57 (step @p63 :rule instantiate :premises (@p43) :args ((@list @t57 @t56))) % 0.36/0.57 (step-pop @p69 :rule scope :premises (@p63)) % 0.36/0.57 (step @p64 :rule process_scope :premises (@p69) :args (@t60)) % 0.36/0.57 (step @p66 :rule implies_elim :premises (@p64)) % 0.36/0.57 (step @p67 false :rule chain_m_resolution :premises (@p66 @p61 @p43) :args (false (@list false false) (@list @t58 @t62))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------