%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO236+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 : n003.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 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO236+3 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n003.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 23:40:59 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.point (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.before_on_line (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.reverse_line (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.unequally_directed_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.right_convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.left_apart_point (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.right_apart_point (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.left_convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.between_on_line (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.equally_directed_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.equally_directed_opposite_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.line (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.unequally_directed_opposite_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.divides_points (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.57 (define @t1 () (@var "Y" $$unsorted)) % 0.37/0.57 (define @t2 () (tptp.reverse_line @t1)) % 0.37/0.57 (define @t3 () (@var "X" $$unsorted)) % 0.37/0.57 (define @t4 () (tptp.unequally_directed_opposite_lines @t3 @t1)) % 0.37/0.57 (define @t5 () (@list @t3 @t1)) % 0.37/0.57 (define @t6 () (@var "L" $$unsorted)) % 0.37/0.57 (define @t7 () (@var "A" $$unsorted)) % 0.37/0.57 (define @t8 () (tptp.right_apart_point @t7 @t6)) % 0.37/0.57 (define @t9 () (tptp.left_apart_point @t7 @t6)) % 0.37/0.57 (define @t10 () (@list @t7 @t6)) % 0.37/0.57 (define @t11 () (@var "M" $$unsorted)) % 0.37/0.57 (define @t12 () (tptp.unequally_directed_lines @t6 @t11)) % 0.37/0.57 (define @t13 () (@list @t6 @t11)) % 0.37/0.57 (define @t14 () (@var "B" $$unsorted)) % 0.37/0.57 (define @t15 () (tptp.left_apart_point @t14 @t6)) % 0.37/0.57 (define @t16 () (@list @t7 @t14 @t6)) % 0.37/0.57 (define @t17 () (tptp.line_connecting @t7 @t14)) % 0.37/0.57 (define @t18 () (tptp.distinct_points @t7 @t14)) % 0.37/0.57 (define @t19 () (tptp.before_on_line @t6 @t7 @t14)) % 0.37/0.57 (define @t20 () (@var "C" $$unsorted)) % 0.37/0.57 (define @t21 () (@list @t6)) % 0.37/0.57 (define @t22 () (@var "N" $$unsorted)) % 0.37/0.57 (define @t23 () (tptp.distinct_lines @t6 @t11)) % 0.37/0.57 (define @t24 () (@list @t6 @t11 @t22)) % 0.37/0.57 (define @t25 () (tptp.unequally_directed_lines @t11 @t22)) % 0.37/0.57 (define @t26 () (tptp.unequally_directed_lines @t6 @t22)) % 0.37/0.57 (define @t27 () (tptp.reverse_line @t22)) % 0.37/0.57 (define @t28 () (tptp.reverse_line @t11)) % 0.37/0.57 (define @t29 () (tptp.unequally_directed_lines @t6 @t28)) % 0.37/0.57 (define @t30 () (and @t12 @t29)) % 0.37/0.57 (define @t31 () (tptp.left_convergent_lines @t6 @t11)) % 0.37/0.57 (define @t32 () (or @t31 (tptp.left_convergent_lines @t6 @t28))) % 0.37/0.57 (define @t33 () (tptp.reverse_line @t6)) % 0.37/0.57 (define @t34 () (tptp.left_apart_point @t7 @t33)) % 0.37/0.57 (define @t35 () (forall @t10 (not (or @t9 @t34)))) % 0.37/0.57 (define @t36 () (tptp.point @t7)) % 0.37/0.57 (define @t37 () (@list @t7 @t14)) % 0.37/0.57 (define @t38 () (tptp.intersection_point @t6 @t11)) % 0.37/0.57 (define @t39 () (tptp.line @t6)) % 0.37/0.57 (define @t40 () (tptp.parallel_through_point @t6 @t7)) % 0.37/0.57 (define @t41 () (tptp.left_apart_point @t7 @t28)) % 0.37/0.57 (define @t42 () (@list @t7 @t6 @t11)) % 0.37/0.57 (define @t43 () (or @t12 @t23)) % 0.37/0.57 (define @t44 () (tptp.right_apart_point @t7 @t11)) % 0.37/0.57 (define @t45 () (and @t9 @t44)) % 0.37/0.57 (define @t46 () (forall @t42 (=> @t45 @t43))) % 0.37/0.57 (define @t47 () (not @t46)) % 0.37/0.57 (define @t48 () (not @t34)) % 0.37/0.57 (define @t49 () (forall @t10 @t48)) % 0.37/0.57 (define @t50 () (@list @t7 @t6)) % 0.37/0.57 (define @t51 () (not @t9)) % 0.37/0.57 (define @t52 () (forall @t10 @t51)) % 0.37/0.57 (define @t53 () (@var "BOUND_VARIABLE_7672" $$unsorted)) % 0.37/0.57 (define @t54 () (@var "BOUND_VARIABLE_7670" $$unsorted)) % 0.37/0.57 (define @t55 () (and @t52 @t49)) % 0.37/0.57 (define @t56 () (not @t44)) % 0.37/0.57 (define @t57 () (or @t51 @t56 @t12 @t23)) % 0.37/0.57 (define @t58 () (forall @t42 @t57)) % 0.37/0.57 (define @t59 () (@quantifiers_skolemize @t58 1)) % 0.37/0.57 (define @t60 () (@quantifiers_skolemize @t58 0)) % 0.37/0.57 (define @t61 () (tptp.left_apart_point @t60 @t59)) % 0.37/0.57 (define @t62 () (@quantifiers_skolemize @t58 2)) % 0.37/0.57 (define @t63 () (not @t61)) % 0.37/0.57 (define @t64 () (or @t63 (not (tptp.right_apart_point @t60 @t62)) (tptp.unequally_directed_lines @t59 @t62) (tptp.distinct_lines @t59 @t62))) % 0.37/0.57 (define @t65 () (forall (@list @t54 @t53) (not (tptp.left_apart_point @t54 @t53)))) % 0.37/0.57 (assume @p1 (forall @t5 (= @t4 (tptp.unequally_directed_lines @t3 @t2)))) % 0.37/0.57 (assume @p2 (forall @t5 (= (tptp.right_apart_point @t3 @t1) (tptp.left_apart_point @t3 @t2)))) % 0.37/0.57 (assume @p3 (forall @t5 (= (tptp.right_convergent_lines @t3 @t1) (tptp.left_convergent_lines @t3 @t2)))) % 0.37/0.57 (assume @p4 (forall @t5 (= (tptp.equally_directed_lines @t3 @t1) (not (tptp.unequally_directed_lines @t3 @t1))))) % 0.37/0.57 (assume @p5 (forall @t5 (= (tptp.equally_directed_opposite_lines @t3 @t1) (not @t4)))) % 0.37/0.57 (assume @p6 (forall @t10 (= (tptp.apart_point_and_line @t7 @t6) (or @t9 @t8)))) % 0.37/0.57 (assume @p7 (forall @t13 (= (tptp.convergent_lines @t6 @t11) (and @t12 (tptp.unequally_directed_opposite_lines @t6 @t11))))) % 0.37/0.57 (assume @p8 (forall @t16 (= (tptp.divides_points @t6 @t7 @t14) (or (and @t9 (tptp.right_apart_point @t14 @t6)) (and @t8 @t15))))) % 0.37/0.57 (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))))) % 0.37/0.57 (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)))))) % 0.37/0.57 (assume @p11 (forall (@list @t7) (not (tptp.distinct_points @t7 @t7)))) % 0.37/0.57 (assume @p12 (forall (@list @t7 @t14 @t20) (=> @t18 (or (tptp.distinct_points @t7 @t20) (tptp.distinct_points @t14 @t20))))) % 0.37/0.57 (assume @p13 (forall @t21 (not (tptp.distinct_lines @t6 @t6)))) % 0.37/0.57 (assume @p14 (forall @t24 (=> @t23 (or (tptp.distinct_lines @t6 @t22) (tptp.distinct_lines @t11 @t22))))) % 0.37/0.57 (assume @p15 (forall @t21 (tptp.equally_directed_lines @t6 @t6))) % 0.37/0.57 (assume @p16 (forall @t24 (=> @t12 (or @t26 @t25)))) % 0.37/0.57 (assume @p17 (forall @t24 (=> @t30 (or (and @t26 (tptp.unequally_directed_lines @t6 @t27)) (and @t25 (tptp.unequally_directed_lines @t11 @t27)))))) % 0.37/0.57 (assume @p18 (forall @t13 (or @t12 @t29))) % 0.37/0.57 (assume @p19 (forall @t13 (=> @t30 @t32))) % 0.37/0.57 (assume @p20 @t35) % 0.37/0.57 (assume @p21 (forall @t13 (not @t32))) % 0.37/0.57 (assume @p22 (forall @t37 (=> (and @t36 (tptp.point @t14) @t18) (tptp.line @t17)))) % 0.37/0.57 (assume @p23 (forall @t13 (=> (and @t39 (tptp.line @t11) @t12 @t29) (tptp.point @t38)))) % 0.37/0.57 (assume @p24 (forall (@list @t6 @t7) (=> (and @t36 @t39) (tptp.line @t40)))) % 0.37/0.57 (assume @p25 (forall @t21 (=> @t39 (tptp.line @t33)))) % 0.37/0.57 (assume @p26 (forall @t37 (=> @t18 (and (not (tptp.apart_point_and_line @t7 @t17)) (not (tptp.apart_point_and_line @t14 @t17)))))) % 0.37/0.57 (assume @p27 (forall @t13 (=> @t30 (and (not (tptp.apart_point_and_line @t38 @t6)) (not (tptp.apart_point_and_line @t38 @t11)))))) % 0.37/0.57 (assume @p28 (forall @t10 (not (tptp.apart_point_and_line @t7 @t40)))) % 0.37/0.57 (assume @p29 (forall @t21 (not (tptp.distinct_lines @t6 @t33)))) % 0.37/0.57 (assume @p30 (forall @t37 (=> @t18 (tptp.equally_directed_lines @t17 (tptp.reverse_line (tptp.line_connecting @t14 @t7)))))) % 0.37/0.57 (assume @p31 (forall @t10 (tptp.equally_directed_lines @t40 @t6))) % 0.37/0.57 (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) @t34 (tptp.left_apart_point @t14 @t33) @t41 (tptp.left_apart_point @t14 @t28))))) % 0.37/0.57 (assume @p33 (forall @t16 (=> (and @t18 @t9) (or @t15 (tptp.left_convergent_lines @t17 @t6))))) % 0.37/0.57 (assume @p34 (forall @t16 (=> @t9 (or @t18 @t15)))) % 0.37/0.57 (assume @p35 (forall @t42 (=> (and @t9 @t12) (or @t23 @t41)))) % 0.37/0.57 (assume @p36 (forall @t24 (=> @t31 (or @t25 (tptp.left_convergent_lines @t6 @t22))))) % 0.37/0.57 (assume @p37 @t47) % 0.37/0.57 (assume @p38 true) % 0.37/0.57 (step @p39 :rule alpha_equiv :args (@t49 @t50 (@list (@var "BOUND_VARIABLE_7678" $$unsorted) (@var "BOUND_VARIABLE_7680" $$unsorted)))) % 0.37/0.57 (step @p40 :rule alpha_equiv :args (@t52 @t50 (@list @t54 @t53))) % 0.37/0.57 (step @p41 :rule nary_cong :premises (@p40 @p39) :args (@t55)) % 0.37/0.57 (step @p42 :rule quant-miniscope-and :args ((= (forall @t10 (and @t51 @t48)) @t55))) % 0.37/0.57 (step @p43 :rule trans :premises (@p42 @p41)) % 0.37/0.57 (step @p44 :rule bool-or-de-morgan :args (@t9 @t34 false)) % 0.37/0.57 (step @p45 :rule cong :premises (@p44) :args (@t35)) % 0.37/0.57 (step @p46 :rule trans :premises (@p45 @p43)) % 0.37/0.57 (step @p47 :rule eq_resolve :premises (@p20 @p46)) % 0.37/0.57 (step @p48 :rule and_elim :premises (@p47) :args (0)) % 0.37/0.57 (step @p49 :rule aci_norm :args ((= (or (or @t51 @t56) @t43) @t57))) % 0.37/0.57 (step @p50 :rule refl :args (@t43)) % 0.37/0.57 (step @p51 :rule bool-and-de-morgan :args (@t9 @t44 true)) % 0.37/0.57 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or (not @t45) @t43))) % 0.37/0.57 (step @p53 :rule trans :premises (@p52 @p49)) % 0.37/0.57 (step @p54 :rule bool-impl-elim :args (@t45 @t43)) % 0.37/0.57 (step @p55 :rule trans :premises (@p54 @p53)) % 0.37/0.57 (step @p56 :rule cong :premises (@p55) :args (@t46)) % 0.37/0.57 (step @p57 :rule cong :premises (@p56) :args (@t47)) % 0.37/0.57 (step @p58 :rule eq_resolve :premises (@p37 @p57)) % 0.37/0.57 (step @p59 :rule skolemize :premises (@p58)) % 0.37/0.57 (step @p60 :rule bool-double-not-elim :args (@t61)) % 0.37/0.57 (step @p61 :rule refl :args (@t64)) % 0.37/0.57 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t64 (not @t63)))) % 0.37/0.57 (step @p63 :rule cnf_or_neg :args (@t64 0)) % 0.37/0.57 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.37/0.57 (step @p65 :rule reordering :premises (@p64) :args ((or @t61 @t64))) % 0.37/0.57 (step @p66 :rule chain_m_resolution :premises (@p65 @p59) :args (@t61 (@list true) (@list @t64))) % 0.37/0.57 (assume-push @p73 @t65) % 0.37/0.57 (step @p68 :rule instantiate :premises (@p48) :args ((@list @t60 @t59))) % 0.37/0.57 (step-pop @p74 :rule scope :premises (@p68)) % 0.37/0.57 (step @p69 :rule process_scope :premises (@p74) :args (@t63)) % 0.37/0.57 (step @p71 :rule implies_elim :premises (@p69)) % 0.37/0.57 (step @p72 false :rule chain_m_resolution :premises (@p71 @p66 @p48) :args (false (@list false false) (@list @t61 @t65))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------