%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO233+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 : n008.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 08:16:52 AM UTC 2026 % Result : Theorem 0.64s 0.88s % Output : Proof 0.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO233+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 % 0.17/0.34 % Computer : n008.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 23:41:18 EDT 2026 % 0.17/0.34 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.64/0.88 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.64/0.88 % SZS status Theorem % 0.64/0.88 % SZS output start Proof % 0.64/0.88 ( % 0.64/0.88 (declare-sort $$unsorted 0) % 0.64/0.88 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.64/0.88 (declare-const tptp.left_apart_point (-> $$unsorted $$unsorted Bool)) % 0.64/0.88 (declare-const tptp.point (-> $$unsorted Bool)) % 0.64/0.88 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.64/0.88 (declare-const tptp.unequally_directed_lines (-> $$unsorted $$unsorted Bool)) % 0.64/0.88 (declare-const tptp.between_on_line (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.64/0.88 (declare-const tptp.line (-> $$unsorted Bool)) % 0.64/0.88 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.64/0.88 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.64/0.88 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.64/0.88 (declare-const tptp.reverse_line (-> $$unsorted $$unsorted)) % 0.64/0.88 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.64/0.88 (declare-const tptp.before_on_line (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.64/0.88 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.64/0.88 (declare-const tptp.divides_points (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.64/0.88 (declare-const tptp.left_convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.64/0.88 (define @t1 () (@var "L" $$unsorted)) % 0.64/0.88 (define @t2 () (tptp.reverse_line @t1)) % 0.64/0.88 (define @t3 () (@var "A" $$unsorted)) % 0.64/0.88 (define @t4 () (tptp.left_apart_point @t3 @t2)) % 0.64/0.88 (define @t5 () (tptp.left_apart_point @t3 @t1)) % 0.64/0.88 (define @t6 () (or @t5 @t4)) % 0.64/0.88 (define @t7 () (@list @t3 @t1)) % 0.64/0.88 (define @t8 () (@var "M" $$unsorted)) % 0.64/0.88 (define @t9 () (tptp.reverse_line @t8)) % 0.64/0.88 (define @t10 () (tptp.unequally_directed_lines @t1 @t9)) % 0.64/0.88 (define @t11 () (tptp.unequally_directed_lines @t1 @t8)) % 0.64/0.88 (define @t12 () (and @t11 @t10)) % 0.64/0.88 (define @t13 () (@list @t1 @t8)) % 0.64/0.88 (define @t14 () (@var "B" $$unsorted)) % 0.64/0.88 (define @t15 () (tptp.left_apart_point @t14 @t1)) % 0.64/0.88 (define @t16 () (tptp.left_apart_point @t14 @t2)) % 0.64/0.88 (define @t17 () (@list @t3 @t14 @t1)) % 0.64/0.88 (define @t18 () (tptp.line_connecting @t3 @t14)) % 0.64/0.88 (define @t19 () (not @t6)) % 0.64/0.88 (define @t20 () (tptp.distinct_points @t3 @t14)) % 0.64/0.88 (define @t21 () (tptp.before_on_line @t1 @t3 @t14)) % 0.64/0.88 (define @t22 () (@var "C" $$unsorted)) % 0.64/0.88 (define @t23 () (@list @t1)) % 0.64/0.88 (define @t24 () (@var "N" $$unsorted)) % 0.64/0.88 (define @t25 () (tptp.distinct_lines @t1 @t8)) % 0.64/0.88 (define @t26 () (@list @t1 @t8 @t24)) % 0.64/0.88 (define @t27 () (tptp.unequally_directed_lines @t8 @t24)) % 0.64/0.88 (define @t28 () (tptp.unequally_directed_lines @t1 @t24)) % 0.64/0.88 (define @t29 () (or @t28 @t27)) % 0.64/0.88 (define @t30 () (forall @t26 (=> @t11 @t29))) % 0.64/0.88 (define @t31 () (tptp.reverse_line @t24)) % 0.64/0.88 (define @t32 () (and @t27 (tptp.unequally_directed_lines @t8 @t31))) % 0.64/0.88 (define @t33 () (and @t28 (tptp.unequally_directed_lines @t1 @t31))) % 0.64/0.88 (define @t34 () (or @t33 @t32)) % 0.64/0.88 (define @t35 () (forall @t26 (=> @t12 @t34))) % 0.64/0.88 (define @t36 () (tptp.line @t8)) % 0.64/0.88 (define @t37 () (tptp.line @t1)) % 0.64/0.88 (define @t38 () (tptp.left_convergent_lines @t1 @t9)) % 0.64/0.88 (define @t39 () (tptp.left_convergent_lines @t1 @t8)) % 0.64/0.88 (define @t40 () (or @t39 @t38)) % 0.64/0.88 (define @t41 () (forall @t13 (=> @t12 @t40))) % 0.64/0.88 (define @t42 () (forall @t13 (not @t40))) % 0.64/0.88 (define @t43 () (tptp.point @t3)) % 0.64/0.88 (define @t44 () (@list @t3 @t14)) % 0.64/0.88 (define @t45 () (tptp.intersection_point @t1 @t8)) % 0.64/0.88 (define @t46 () (tptp.parallel_through_point @t1 @t3)) % 0.64/0.88 (define @t47 () (tptp.left_apart_point @t3 @t9)) % 0.64/0.88 (define @t48 () (forall @t23 (not (tptp.unequally_directed_lines (tptp.reverse_line @t2) @t1)))) % 0.64/0.88 (define @t49 () (not @t48)) % 0.64/0.88 (define @t50 () (@quantifiers_skolemize @t48 0)) % 0.64/0.88 (define @t51 () (tptp.reverse_line @t50)) % 0.64/0.88 (define @t52 () (tptp.reverse_line @t51)) % 0.64/0.88 (define @t53 () (tptp.unequally_directed_lines @t52 @t50)) % 0.64/0.88 (define @t54 () (not @t53)) % 0.64/0.88 (define @t55 () (not @t54)) % 0.64/0.88 (define @t56 () (@list true)) % 0.64/0.88 (define @t57 () (tptp.unequally_directed_lines @t52 @t52)) % 0.64/0.88 (define @t58 () (tptp.unequally_directed_lines @t52 @t51)) % 0.64/0.88 (define @t59 () (and @t58 @t57)) % 0.64/0.88 (define @t60 () (not @t59)) % 0.64/0.88 (define @t61 () (not @t10)) % 0.64/0.88 (define @t62 () (not @t11)) % 0.64/0.88 (define @t63 () (or @t62 @t61)) % 0.64/0.88 (define @t64 () (not @t12)) % 0.64/0.88 (define @t65 () (@list @t52 @t50 @t51)) % 0.64/0.88 (define @t66 () (@list @t50 @t51)) % 0.64/0.88 (define @t67 () (not @t38)) % 0.64/0.88 (define @t68 () (forall @t13 @t67)) % 0.64/0.88 (define @t69 () (@list @t1 @t8)) % 0.64/0.88 (define @t70 () (not @t39)) % 0.64/0.88 (define @t71 () (forall @t13 @t70)) % 0.64/0.88 (define @t72 () (and @t71 @t68)) % 0.64/0.88 (define @t73 () (tptp.unequally_directed_lines @t50 @t52)) % 0.64/0.88 (define @t74 () (or @t54 @t57 @t73)) % 0.64/0.88 (define @t75 () (@list false true false)) % 0.64/0.88 (define @t76 () (tptp.left_convergent_lines @t50 @t52)) % 0.64/0.88 (define @t77 () (tptp.left_convergent_lines @t50 @t51)) % 0.64/0.88 (define @t78 () (not @t73)) % 0.64/0.88 (define @t79 () (tptp.unequally_directed_lines @t50 @t51)) % 0.64/0.88 (define @t80 () (not @t79)) % 0.64/0.88 (define @t81 () (or @t80 @t78 @t77 @t76)) % 0.64/0.88 (define @t82 () (and @t79 @t73)) % 0.64/0.88 (define @t83 () (not @t82)) % 0.64/0.88 (define @t84 () (or @t54 @t58 @t79)) % 0.64/0.88 (define @t85 () (not @t58)) % 0.64/0.88 (define @t86 () (or @t54 @t85 @t59 @t82)) % 0.64/0.88 (assume @p1 (forall @t7 (= (tptp.apart_point_and_line @t3 @t1) @t6))) % 0.64/0.88 (assume @p2 (forall @t13 (= (tptp.convergent_lines @t1 @t8) @t12))) % 0.64/0.88 (assume @p3 (forall @t17 (= (tptp.divides_points @t1 @t3 @t14) (or (and @t5 @t16) (and @t4 @t15))))) % 0.64/0.88 (assume @p4 (forall (@list @t1 @t3 @t14) (= @t21 (and @t20 @t19 (not (or @t15 @t16)) (not (tptp.unequally_directed_lines @t1 @t18)))))) % 0.64/0.88 (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)))))) % 0.64/0.88 (assume @p6 (forall (@list @t3) (not (tptp.distinct_points @t3 @t3)))) % 0.64/0.88 (assume @p7 (forall (@list @t3 @t14 @t22) (=> @t20 (or (tptp.distinct_points @t3 @t22) (tptp.distinct_points @t14 @t22))))) % 0.64/0.88 (assume @p8 (forall @t23 (not (tptp.distinct_lines @t1 @t1)))) % 0.64/0.88 (assume @p9 (forall @t26 (=> @t25 (or (tptp.distinct_lines @t1 @t24) (tptp.distinct_lines @t8 @t24))))) % 0.64/0.88 (assume @p10 (forall @t23 (not (tptp.unequally_directed_lines @t1 @t1)))) % 0.64/0.88 (assume @p11 @t30) % 0.64/0.88 (assume @p12 @t35) % 0.64/0.88 (assume @p13 (forall @t13 (=> (and @t37 @t36) (or @t11 @t10)))) % 0.64/0.88 (assume @p14 @t41) % 0.64/0.88 (assume @p15 (forall @t7 @t19)) % 0.64/0.88 (assume @p16 @t42) % 0.64/0.88 (assume @p17 (forall @t44 (=> (and @t43 (tptp.point @t14) @t20) (tptp.line @t18)))) % 0.64/0.88 (assume @p18 (forall @t13 (=> (and @t37 @t36 @t11 @t10) (tptp.point @t45)))) % 0.64/0.88 (assume @p19 (forall (@list @t1 @t3) (=> (and @t43 @t37) (tptp.line @t46)))) % 0.64/0.88 (assume @p20 (forall @t23 (=> @t37 (tptp.line @t2)))) % 0.64/0.88 (assume @p21 (forall @t44 (=> @t20 (and (not (tptp.apart_point_and_line @t3 @t18)) (not (tptp.apart_point_and_line @t14 @t18)))))) % 0.64/0.88 (assume @p22 (forall @t13 (=> @t12 (and (not (tptp.apart_point_and_line @t45 @t1)) (not (tptp.apart_point_and_line @t45 @t8)))))) % 0.64/0.88 (assume @p23 (forall @t7 (not (tptp.apart_point_and_line @t3 @t46)))) % 0.64/0.88 (assume @p24 (forall @t23 (not (tptp.distinct_lines @t1 @t2)))) % 0.64/0.88 (assume @p25 (forall @t44 (not (tptp.unequally_directed_lines @t18 (tptp.reverse_line (tptp.line_connecting @t14 @t3)))))) % 0.64/0.88 (assume @p26 (forall @t7 (not (tptp.unequally_directed_lines @t46 @t1)))) % 0.64/0.88 (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 @t47 (tptp.left_apart_point @t14 @t9))))) % 0.64/0.88 (assume @p28 (forall @t17 (=> (and @t20 @t5) (or @t15 (tptp.left_convergent_lines @t18 @t1))))) % 0.64/0.88 (assume @p29 (forall @t17 (=> @t5 (or @t20 @t15)))) % 0.64/0.88 (assume @p30 (forall (@list @t3 @t1 @t8) (=> (and @t5 @t11) (or @t25 @t47)))) % 0.64/0.88 (assume @p31 (forall @t26 (=> @t39 (or @t27 (tptp.left_convergent_lines @t1 @t24))))) % 0.64/0.88 (assume @p32 @t49) % 0.64/0.88 (assume @p33 true) % 0.64/0.88 (step @p34 :rule refl :args (@t53)) % 0.64/0.88 (step @p35 :rule bool-double-not-elim :args (@t48)) % 0.64/0.88 (step @p36 :rule nary_cong :premises (@p35 @p34) :args ((or (not @t49) @t53))) % 0.64/0.88 (step @p37 :rule bool-double-not-elim :args (@t53)) % 0.64/0.88 (step @p38 :rule refl :args (@t49)) % 0.64/0.88 (step @p39 :rule cong :premises (@p38 @p37) :args ((=> @t49 @t55))) % 0.64/0.88 (assume-push @p105 @t49) % 0.64/0.88 (step @p41 :rule skolemize :premises (@p32)) % 0.64/0.88 (step-pop @p106 :rule scope :premises (@p41)) % 0.64/0.88 (step @p42 :rule process_scope :premises (@p106) :args (@t55)) % 0.64/0.88 (step @p44 :rule eq_resolve :premises (@p42 @p39)) % 0.64/0.88 (step @p45 :rule implies_elim :premises (@p44)) % 0.64/0.88 (step @p46 :rule eq_resolve :premises (@p45 @p36)) % 0.64/0.88 (step @p47 :rule chain_m_resolution :premises (@p46 @p32) :args (@t53 @t56 (@list @t48))) % 0.64/0.88 (step @p48 :rule instantiate :premises (@p10) :args ((@list @t52))) % 0.64/0.88 (step @p49 :rule cnf_and_pos :args (@t59 1)) % 0.64/0.88 (step @p50 :rule reordering :premises (@p49) :args ((or @t57 @t60))) % 0.64/0.88 (step @p51 :rule chain_m_resolution :premises (@p50 @p48) :args (@t60 @t56 (@list @t57))) % 0.64/0.88 (step @p52 :rule aci_norm :args ((= (or @t63 @t34) (or @t62 @t61 @t33 @t32)))) % 0.64/0.88 (step @p53 :rule refl :args (@t34)) % 0.64/0.88 (step @p54 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 0.64/0.88 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t64 @t34))) % 0.64/0.88 (step @p56 :rule trans :premises (@p55 @p52)) % 0.64/0.88 (step @p57 :rule bool-impl-elim :args (@t12 @t34)) % 0.64/0.88 (step @p58 :rule trans :premises (@p57 @p56)) % 0.64/0.88 (step @p59 :rule cong :premises (@p58) :args (@t35)) % 0.64/0.88 (step @p60 :rule eq_resolve :premises (@p12 @p59)) % 0.64/0.88 (step @p61 :rule instantiate :premises (@p60) :args (@t65)) % 0.64/0.88 (step @p62 :rule aci_norm :args ((= (or @t63 @t40) (or @t62 @t61 @t39 @t38)))) % 0.64/0.88 (step @p63 :rule refl :args (@t40)) % 0.64/0.88 (step @p64 :rule nary_cong :premises (@p54 @p63) :args ((or @t64 @t40))) % 0.64/0.88 (step @p65 :rule trans :premises (@p64 @p62)) % 0.64/0.88 (step @p66 :rule bool-impl-elim :args (@t12 @t40)) % 0.64/0.88 (step @p67 :rule trans :premises (@p66 @p65)) % 0.64/0.88 (step @p68 :rule cong :premises (@p67) :args (@t41)) % 0.64/0.88 (step @p69 :rule eq_resolve :premises (@p14 @p68)) % 0.64/0.88 (step @p70 :rule instantiate :premises (@p69) :args (@t66)) % 0.64/0.88 (step @p71 :rule alpha_equiv :args (@t68 @t69 (@list (@var "BOUND_VARIABLE_7683" $$unsorted) (@var "BOUND_VARIABLE_7685" $$unsorted)))) % 0.64/0.88 (step @p72 :rule alpha_equiv :args (@t71 @t69 (@list (@var "BOUND_VARIABLE_7675" $$unsorted) (@var "BOUND_VARIABLE_7677" $$unsorted)))) % 0.64/0.88 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t72)) % 0.64/0.88 (step @p74 :rule quant-miniscope-and :args ((= (forall @t13 (and @t70 @t67)) @t72))) % 0.64/0.88 (step @p75 :rule trans :premises (@p74 @p73)) % 0.64/0.88 (step @p76 :rule bool-or-de-morgan :args (@t39 @t38 false)) % 0.64/0.88 (step @p77 :rule cong :premises (@p76) :args (@t42)) % 0.64/0.88 (step @p78 :rule trans :premises (@p77 @p75)) % 0.64/0.88 (step @p79 :rule eq_resolve :premises (@p16 @p78)) % 0.64/0.88 (step @p80 :rule and_elim :premises (@p79) :args (1)) % 0.64/0.88 (step @p81 :rule instantiate :premises (@p80) :args (@t66)) % 0.64/0.88 (step @p82 :rule aci_norm :args ((= (or @t62 @t29) (or @t62 @t28 @t27)))) % 0.64/0.88 (step @p83 :rule bool-impl-elim :args (@t11 @t29)) % 0.64/0.88 (step @p84 :rule trans :premises (@p83 @p82)) % 0.64/0.88 (step @p85 :rule cong :premises (@p84) :args (@t30)) % 0.64/0.88 (step @p86 :rule eq_resolve :premises (@p11 @p85)) % 0.64/0.88 (step @p87 :rule instantiate :premises (@p86) :args ((@list @t52 @t50 @t52))) % 0.64/0.88 (step @p88 :rule cnf_or_pos :args (@t74)) % 0.64/0.88 (step @p89 :rule reordering :premises (@p88) :args ((or @t54 @t73 @t57 (not @t74)))) % 0.64/0.88 (step @p90 :rule chain_m_resolution :premises (@p89 @p47 @p48 @p87) :args (@t73 @t75 (@list @t53 @t57 @t74))) % 0.64/0.88 (step @p91 :rule instantiate :premises (@p80) :args ((@list @t50 @t50))) % 0.64/0.88 (step @p92 :rule cnf_or_pos :args (@t81)) % 0.64/0.88 (step @p93 :rule reordering :premises (@p92) :args ((or @t80 @t77 @t78 @t76 (not @t81)))) % 0.64/0.88 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p90 @p81 @p70) :args (@t80 (@list true false true false) (@list @t77 @t73 @t76 @t81))) % 0.64/0.88 (step @p95 :rule cnf_and_pos :args (@t82 0)) % 0.64/0.88 (step @p96 :rule reordering :premises (@p95) :args ((or @t79 @t83))) % 0.64/0.88 (step @p97 :rule chain_m_resolution :premises (@p96 @p94) :args (@t83 @t56 (@list @t79))) % 0.64/0.88 (step @p98 :rule instantiate :premises (@p86) :args (@t65)) % 0.64/0.88 (step @p99 :rule cnf_or_pos :args (@t84)) % 0.64/0.88 (step @p100 :rule reordering :premises (@p99) :args ((or @t54 @t79 @t58 (not @t84)))) % 0.64/0.88 (step @p101 :rule chain_m_resolution :premises (@p100 @p47 @p94 @p98) :args (@t58 @t75 (@list @t53 @t79 @t84))) % 0.64/0.88 (step @p102 :rule cnf_or_pos :args (@t86)) % 0.64/0.88 (step @p103 :rule reordering :premises (@p102) :args ((or @t54 @t82 @t85 @t59 (not @t86)))) % 0.64/0.88 (step @p104 false :rule chain_m_resolution :premises (@p103 @p101 @p97 @p61 @p51 @p47) :args (false (@list false true false true false) (@list @t58 @t82 @t86 @t59 @t53))) % 0.64/0.88 ) % 0.64/0.88 % SZS output end Proof % 0.64/0.88 % cvc5 exiting %------------------------------------------------------------------------------