%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO269+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:17:00 AM UTC 2026 % Result : Theorem 0.36s 0.63s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : GEO269+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n020.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Mon Jun 1 23:42:25 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.63 % SZS status Theorem % 0.36/0.63 % SZS output start Proof % 0.36/0.63 ( % 0.36/0.63 (declare-sort $$unsorted 0) % 0.36/0.63 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.point (-> $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.before_on_line (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.reverse_line (-> $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.unequally_directed_lines (-> $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.right_convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.left_apart_point (-> $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.right_apart_point (-> $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.left_convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.between_on_line (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.equally_directed_lines (-> $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.equally_directed_opposite_lines (-> $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.line (-> $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.unequally_directed_opposite_lines (-> $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.divides_points (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.63 (define @t1 () (@var "Y" $$unsorted)) % 0.36/0.63 (define @t2 () (tptp.reverse_line @t1)) % 0.36/0.63 (define @t3 () (@var "X" $$unsorted)) % 0.36/0.63 (define @t4 () (tptp.unequally_directed_opposite_lines @t3 @t1)) % 0.36/0.63 (define @t5 () (@list @t3 @t1)) % 0.36/0.63 (define @t6 () (@var "L" $$unsorted)) % 0.36/0.63 (define @t7 () (@var "A" $$unsorted)) % 0.36/0.63 (define @t8 () (tptp.right_apart_point @t7 @t6)) % 0.36/0.63 (define @t9 () (tptp.left_apart_point @t7 @t6)) % 0.36/0.63 (define @t10 () (@list @t7 @t6)) % 0.36/0.63 (define @t11 () (@var "M" $$unsorted)) % 0.36/0.63 (define @t12 () (tptp.unequally_directed_lines @t6 @t11)) % 0.36/0.63 (define @t13 () (@list @t6 @t11)) % 0.36/0.63 (define @t14 () (@var "B" $$unsorted)) % 0.36/0.63 (define @t15 () (tptp.left_apart_point @t14 @t6)) % 0.36/0.63 (define @t16 () (@list @t7 @t14 @t6)) % 0.36/0.63 (define @t17 () (tptp.line_connecting @t7 @t14)) % 0.36/0.63 (define @t18 () (tptp.distinct_points @t7 @t14)) % 0.36/0.63 (define @t19 () (tptp.before_on_line @t6 @t7 @t14)) % 0.36/0.63 (define @t20 () (@var "C" $$unsorted)) % 0.36/0.63 (define @t21 () (@list @t6)) % 0.36/0.63 (define @t22 () (@var "N" $$unsorted)) % 0.36/0.63 (define @t23 () (tptp.distinct_lines @t6 @t11)) % 0.36/0.63 (define @t24 () (@list @t6 @t11 @t22)) % 0.36/0.63 (define @t25 () (tptp.unequally_directed_lines @t11 @t22)) % 0.36/0.63 (define @t26 () (tptp.unequally_directed_lines @t6 @t22)) % 0.36/0.63 (define @t27 () (or @t26 @t25)) % 0.36/0.63 (define @t28 () (forall @t24 (=> @t12 @t27))) % 0.36/0.63 (define @t29 () (tptp.reverse_line @t22)) % 0.36/0.63 (define @t30 () (tptp.reverse_line @t11)) % 0.36/0.63 (define @t31 () (tptp.unequally_directed_lines @t6 @t30)) % 0.36/0.63 (define @t32 () (and @t12 @t31)) % 0.36/0.63 (define @t33 () (tptp.left_convergent_lines @t6 @t30)) % 0.36/0.63 (define @t34 () (tptp.left_convergent_lines @t6 @t11)) % 0.36/0.63 (define @t35 () (or @t34 @t33)) % 0.36/0.63 (define @t36 () (forall @t13 (=> @t32 @t35))) % 0.36/0.63 (define @t37 () (tptp.reverse_line @t6)) % 0.36/0.63 (define @t38 () (tptp.left_apart_point @t7 @t37)) % 0.36/0.63 (define @t39 () (forall @t13 (not @t35))) % 0.36/0.63 (define @t40 () (tptp.point @t7)) % 0.36/0.63 (define @t41 () (@list @t7 @t14)) % 0.36/0.63 (define @t42 () (tptp.intersection_point @t6 @t11)) % 0.36/0.63 (define @t43 () (tptp.line @t6)) % 0.36/0.63 (define @t44 () (tptp.parallel_through_point @t6 @t7)) % 0.36/0.63 (define @t45 () (tptp.left_apart_point @t7 @t30)) % 0.36/0.63 (define @t46 () (forall @t21 (tptp.equally_directed_opposite_lines @t6 @t37))) % 0.36/0.63 (define @t47 () (not @t12)) % 0.36/0.63 (define @t48 () (@quantifiers_skolemize @t46 0)) % 0.36/0.63 (define @t49 () (tptp.reverse_line @t48)) % 0.36/0.63 (define @t50 () (not @t31)) % 0.36/0.63 (define @t51 () (@list @t48 @t49)) % 0.36/0.63 (define @t52 () (not @t33)) % 0.36/0.63 (define @t53 () (forall @t13 @t52)) % 0.36/0.63 (define @t54 () (@list @t6 @t11)) % 0.36/0.63 (define @t55 () (not @t34)) % 0.36/0.63 (define @t56 () (forall @t13 @t55)) % 0.36/0.63 (define @t57 () (and @t56 @t53)) % 0.36/0.63 (define @t58 () (tptp.reverse_line @t49)) % 0.36/0.63 (define @t59 () (tptp.unequally_directed_opposite_lines @t48 @t49)) % 0.36/0.63 (define @t60 () (tptp.equally_directed_opposite_lines @t48 @t49)) % 0.36/0.63 (define @t61 () (not @t59)) % 0.36/0.63 (define @t62 () (= @t60 @t61)) % 0.36/0.63 (define @t63 () (not @t62)) % 0.36/0.63 (define @t64 () (@list true false)) % 0.36/0.63 (define @t65 () (tptp.unequally_directed_lines @t48 @t58)) % 0.36/0.63 (define @t66 () (= @t59 @t65)) % 0.36/0.63 (define @t67 () (tptp.left_convergent_lines @t48 @t58)) % 0.36/0.63 (define @t68 () (tptp.left_convergent_lines @t48 @t49)) % 0.36/0.63 (define @t69 () (not @t65)) % 0.36/0.63 (define @t70 () (tptp.unequally_directed_lines @t48 @t49)) % 0.36/0.63 (define @t71 () (not @t70)) % 0.36/0.63 (define @t72 () (or @t71 @t69 @t68 @t67)) % 0.36/0.63 (define @t73 () (tptp.unequally_directed_lines @t48 @t48)) % 0.36/0.63 (define @t74 () (or @t73 @t70)) % 0.36/0.63 (define @t75 () (not @t73)) % 0.36/0.63 (define @t76 () (or @t75 @t70 @t70)) % 0.36/0.63 (assume @p1 (forall @t5 (= @t4 (tptp.unequally_directed_lines @t3 @t2)))) % 0.36/0.63 (assume @p2 (forall @t5 (= (tptp.right_apart_point @t3 @t1) (tptp.left_apart_point @t3 @t2)))) % 0.36/0.63 (assume @p3 (forall @t5 (= (tptp.right_convergent_lines @t3 @t1) (tptp.left_convergent_lines @t3 @t2)))) % 0.36/0.63 (assume @p4 (forall @t5 (= (tptp.equally_directed_lines @t3 @t1) (not (tptp.unequally_directed_lines @t3 @t1))))) % 0.36/0.63 (assume @p5 (forall @t5 (= (tptp.equally_directed_opposite_lines @t3 @t1) (not @t4)))) % 0.36/0.63 (assume @p6 (forall @t10 (= (tptp.apart_point_and_line @t7 @t6) (or @t9 @t8)))) % 0.36/0.63 (assume @p7 (forall @t13 (= (tptp.convergent_lines @t6 @t11) (and @t12 (tptp.unequally_directed_opposite_lines @t6 @t11))))) % 0.36/0.63 (assume @p8 (forall @t16 (= (tptp.divides_points @t6 @t7 @t14) (or (and @t9 (tptp.right_apart_point @t14 @t6)) (and @t8 @t15))))) % 0.36/0.63 (assume @p9 (forall (@list @t6 @t7 @t14) (= @t19 (and @t18 (tptp.incident_point_and_line @t7 @t6) (tptp.incident_point_and_line @t14 @t6) (tptp.equally_directed_lines @t6 @t17))))) % 0.36/0.63 (assume @p10 (forall (@list @t6 @t7 @t14 @t20) (= (tptp.between_on_line @t6 @t7 @t14 @t20) (or (and @t19 (tptp.before_on_line @t6 @t14 @t20)) (and (tptp.before_on_line @t6 @t20 @t14) (tptp.before_on_line @t6 @t14 @t7)))))) % 0.36/0.63 (assume @p11 (forall (@list @t7) (not (tptp.distinct_points @t7 @t7)))) % 0.36/0.63 (assume @p12 (forall (@list @t7 @t14 @t20) (=> @t18 (or (tptp.distinct_points @t7 @t20) (tptp.distinct_points @t14 @t20))))) % 0.36/0.63 (assume @p13 (forall @t21 (not (tptp.distinct_lines @t6 @t6)))) % 0.36/0.63 (assume @p14 (forall @t24 (=> @t23 (or (tptp.distinct_lines @t6 @t22) (tptp.distinct_lines @t11 @t22))))) % 0.36/0.63 (assume @p15 (forall @t21 (tptp.equally_directed_lines @t6 @t6))) % 0.36/0.63 (assume @p16 @t28) % 0.36/0.63 (assume @p17 (forall @t24 (=> @t32 (or (and @t26 (tptp.unequally_directed_lines @t6 @t29)) (and @t25 (tptp.unequally_directed_lines @t11 @t29)))))) % 0.36/0.63 (assume @p18 (forall @t13 (or @t12 @t31))) % 0.36/0.63 (assume @p19 @t36) % 0.36/0.63 (assume @p20 (forall @t10 (not (or @t9 @t38)))) % 0.36/0.63 (assume @p21 @t39) % 0.36/0.63 (assume @p22 (forall @t41 (=> (and @t40 (tptp.point @t14) @t18) (tptp.line @t17)))) % 0.36/0.63 (assume @p23 (forall @t13 (=> (and @t43 (tptp.line @t11) @t12 @t31) (tptp.point @t42)))) % 0.36/0.63 (assume @p24 (forall (@list @t6 @t7) (=> (and @t40 @t43) (tptp.line @t44)))) % 0.36/0.63 (assume @p25 (forall @t21 (=> @t43 (tptp.line @t37)))) % 0.36/0.63 (assume @p26 (forall @t41 (=> @t18 (and (not (tptp.apart_point_and_line @t7 @t17)) (not (tptp.apart_point_and_line @t14 @t17)))))) % 0.36/0.63 (assume @p27 (forall @t13 (=> @t32 (and (not (tptp.apart_point_and_line @t42 @t6)) (not (tptp.apart_point_and_line @t42 @t11)))))) % 0.36/0.63 (assume @p28 (forall @t10 (not (tptp.apart_point_and_line @t7 @t44)))) % 0.36/0.63 (assume @p29 (forall @t21 (not (tptp.distinct_lines @t6 @t37)))) % 0.36/0.63 (assume @p30 (forall @t41 (=> @t18 (tptp.equally_directed_lines @t17 (tptp.reverse_line (tptp.line_connecting @t14 @t7)))))) % 0.36/0.63 (assume @p31 (forall @t10 (tptp.equally_directed_lines @t44 @t6))) % 0.36/0.63 (assume @p32 (forall (@list @t7 @t14 @t6 @t11) (=> (and @t18 @t23) (or @t9 @t15 (tptp.left_apart_point @t7 @t11) (tptp.left_apart_point @t14 @t11) @t38 (tptp.left_apart_point @t14 @t37) @t45 (tptp.left_apart_point @t14 @t30))))) % 0.36/0.63 (assume @p33 (forall @t16 (=> (and @t18 @t9) (or @t15 (tptp.left_convergent_lines @t17 @t6))))) % 0.36/0.63 (assume @p34 (forall @t16 (=> @t9 (or @t18 @t15)))) % 0.36/0.63 (assume @p35 (forall (@list @t7 @t6 @t11) (=> (and @t9 @t12) (or @t23 @t45)))) % 0.36/0.63 (assume @p36 (forall @t24 (=> @t34 (or @t25 (tptp.left_convergent_lines @t6 @t22))))) % 0.36/0.63 (assume @p37 (not @t46)) % 0.36/0.63 (assume @p38 true) % 0.36/0.63 (step @p39 :rule aci_norm :args ((= (or @t47 @t27) (or @t47 @t26 @t25)))) % 0.36/0.63 (step @p40 :rule bool-impl-elim :args (@t12 @t27)) % 0.36/0.63 (step @p41 :rule trans :premises (@p40 @p39)) % 0.36/0.63 (step @p42 :rule cong :premises (@p41) :args (@t28)) % 0.36/0.63 (step @p43 :rule eq_resolve :premises (@p16 @p42)) % 0.36/0.63 (step @p44 :rule instantiate :premises (@p43) :args ((@list @t48 @t48 @t49))) % 0.36/0.63 (step @p45 :rule aci_norm :args ((= (or (or @t47 @t50) @t35) (or @t47 @t50 @t34 @t33)))) % 0.36/0.63 (step @p46 :rule refl :args (@t35)) % 0.36/0.63 (step @p47 :rule bool-and-de-morgan :args (@t12 @t31 true)) % 0.36/0.63 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or (not @t32) @t35))) % 0.36/0.63 (step @p49 :rule trans :premises (@p48 @p45)) % 0.36/0.63 (step @p50 :rule bool-impl-elim :args (@t32 @t35)) % 0.36/0.63 (step @p51 :rule trans :premises (@p50 @p49)) % 0.36/0.63 (step @p52 :rule cong :premises (@p51) :args (@t36)) % 0.36/0.63 (step @p53 :rule eq_resolve :premises (@p19 @p52)) % 0.36/0.63 (step @p54 :rule instantiate :premises (@p53) :args (@t51)) % 0.36/0.63 (step @p55 :rule alpha_equiv :args (@t53 @t54 (@list (@var "BOUND_VARIABLE_7698" $$unsorted) (@var "BOUND_VARIABLE_7700" $$unsorted)))) % 0.36/0.63 (step @p56 :rule alpha_equiv :args (@t56 @t54 (@list (@var "BOUND_VARIABLE_7690" $$unsorted) (@var "BOUND_VARIABLE_7692" $$unsorted)))) % 0.36/0.63 (step @p57 :rule nary_cong :premises (@p56 @p55) :args (@t57)) % 0.36/0.63 (step @p58 :rule quant-miniscope-and :args ((= (forall @t13 (and @t55 @t52)) @t57))) % 0.36/0.63 (step @p59 :rule trans :premises (@p58 @p57)) % 0.36/0.63 (step @p60 :rule bool-or-de-morgan :args (@t34 @t33 false)) % 0.36/0.63 (step @p61 :rule cong :premises (@p60) :args (@t39)) % 0.36/0.63 (step @p62 :rule trans :premises (@p61 @p59)) % 0.36/0.63 (step @p63 :rule eq_resolve :premises (@p21 @p62)) % 0.36/0.63 (step @p64 :rule and_elim :premises (@p63) :args (0)) % 0.36/0.63 (step @p65 :rule instantiate :premises (@p64) :args ((@list @t48 @t58))) % 0.36/0.63 (step @p66 :rule instantiate :premises (@p64) :args (@t51)) % 0.36/0.63 (step @p67 :rule instantiate :premises (@p1) :args (@t51)) % 0.36/0.63 (step @p68 :rule instantiate :premises (@p5) :args (@t51)) % 0.36/0.63 (step @p69 :rule skolemize :premises (@p37)) % 0.36/0.63 (step @p70 :rule bool-double-not-elim :args (@t59)) % 0.36/0.63 (step @p71 :rule refl :args (@t60)) % 0.36/0.63 (step @p72 :rule refl :args (@t63)) % 0.36/0.63 (step @p73 :rule nary_cong :premises (@p72 @p71 @p70) :args ((or @t63 @t60 (not @t61)))) % 0.36/0.63 (step @p74 :rule cnf_equiv_pos2 :args (@t62)) % 0.36/0.63 (step @p75 :rule eq_resolve :premises (@p74 @p73)) % 0.36/0.63 (step @p76 :rule reordering :premises (@p75) :args ((or @t60 @t59 @t63))) % 0.36/0.63 (step @p77 :rule chain_m_resolution :premises (@p76 @p69 @p68) :args (@t59 @t64 (@list @t60 @t62))) % 0.36/0.63 (step @p78 :rule cnf_equiv_pos1 :args (@t66)) % 0.36/0.63 (step @p79 :rule reordering :premises (@p78) :args ((or @t61 @t65 (not @t66)))) % 0.36/0.63 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p67) :args (@t65 (@list false false) (@list @t59 @t66))) % 0.36/0.63 (step @p81 :rule cnf_or_pos :args (@t72)) % 0.36/0.63 (step @p82 :rule reordering :premises (@p81) :args ((or @t69 @t71 @t68 @t67 (not @t72)))) % 0.36/0.63 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p66 @p65 @p54) :args (@t71 (@list false true true false) (@list @t65 @t68 @t67 @t72))) % 0.36/0.63 (step @p84 :rule instantiate :premises (@p18) :args ((@list @t48 @t48))) % 0.36/0.63 (step @p85 :rule cnf_or_pos :args (@t74)) % 0.36/0.63 (step @p86 :rule reordering :premises (@p85) :args ((or @t70 @t73 (not @t74)))) % 0.36/0.63 (step @p87 :rule chain_m_resolution :premises (@p86 @p83 @p84) :args (@t73 @t64 (@list @t70 @t74))) % 0.36/0.63 (step @p88 :rule cnf_or_pos :args (@t76)) % 0.36/0.63 (step @p89 :rule factoring :premises (@p88)) % 0.36/0.63 (step @p90 :rule reordering :premises (@p89) :args ((or @t70 @t75 (not @t76)))) % 0.36/0.63 (step @p91 false :rule chain_m_resolution :premises (@p90 @p87 @p83 @p44) :args (false (@list false true false) (@list @t73 @t70 @t76))) % 0.36/0.63 ) % 0.36/0.63 % SZS output end Proof % 0.36/0.63 % cvc5 exiting %------------------------------------------------------------------------------