%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO208+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:16:44 AM UTC 2026 % Result : Theorem 0.33s 0.56s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO208+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n029.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 23:40:17 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/0.56 % SZS status Theorem % 0.33/0.56 % SZS output start Proof % 0.33/0.56 ( % 0.33/0.56 (declare-sort $$unsorted 0) % 0.33/0.56 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.56 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.56 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.33/0.56 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.56 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.33/0.56 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.33/0.56 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.33/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.33/0.56 (define @t2 () (@list @t1)) % 0.33/0.56 (define @t3 () (@var "Z" $$unsorted)) % 0.33/0.56 (define @t4 () (@var "Y" $$unsorted)) % 0.33/0.56 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.33/0.56 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.33/0.56 (define @t7 () (@list @t1 @t4 @t3)) % 0.33/0.56 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.33/0.56 (define @t9 () (tptp.convergent_lines @t4 @t3)) % 0.33/0.56 (define @t10 () (tptp.convergent_lines @t1 @t3)) % 0.33/0.56 (define @t11 () (tptp.convergent_lines @t1 @t4)) % 0.33/0.56 (define @t12 () (tptp.line_connecting @t1 @t4)) % 0.33/0.56 (define @t13 () (@list @t1 @t4)) % 0.33/0.56 (define @t14 () (tptp.intersection_point @t1 @t4)) % 0.33/0.56 (define @t15 () (@var "V" $$unsorted)) % 0.33/0.56 (define @t16 () (@var "U" $$unsorted)) % 0.33/0.56 (define @t17 () (tptp.apart_point_and_line @t1 @t4)) % 0.33/0.56 (define @t18 () (tptp.apart_point_and_line @t1 @t3)) % 0.33/0.56 (define @t19 () (tptp.parallel_through_point @t4 @t1)) % 0.33/0.56 (define @t20 () (or @t17 @t18 @t9)) % 0.33/0.56 (define @t21 () (forall @t7 (=> @t8 @t20))) % 0.33/0.56 (define @t22 () (not @t8)) % 0.33/0.56 (define @t23 () (not @t9)) % 0.33/0.56 (define @t24 () (not @t18)) % 0.33/0.56 (define @t25 () (not @t17)) % 0.33/0.56 (define @t26 () (and @t25 @t24 @t23)) % 0.33/0.56 (define @t27 () (forall @t7 (=> @t26 @t22))) % 0.33/0.56 (define @t28 () (not @t27)) % 0.33/0.56 (define @t29 () (or @t22 @t17 @t18 @t9)) % 0.33/0.56 (define @t30 () (or @t17 @t18 @t9 @t22)) % 0.33/0.56 (define @t31 () (forall @t7 @t30)) % 0.33/0.56 (define @t32 () (forall @t7 @t29)) % 0.33/0.56 (define @t33 () (@list false)) % 0.33/0.56 (define @t34 () (not @t23)) % 0.33/0.56 (define @t35 () (not @t24)) % 0.33/0.56 (define @t36 () (not @t25)) % 0.33/0.56 (define @t37 () (or @t36 @t35 @t34)) % 0.33/0.56 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.33/0.56 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.33/0.56 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.33/0.56 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.33/0.56 (assume @p5 (forall @t7 (=> (tptp.distinct_lines @t1 @t4) (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.33/0.56 (assume @p6 (forall @t7 (=> @t11 (or @t10 @t9)))) % 0.33/0.56 (assume @p7 (forall @t13 (=> @t6 (not (tptp.apart_point_and_line @t1 @t12))))) % 0.33/0.56 (assume @p8 (forall @t13 (=> @t6 (not (tptp.apart_point_and_line @t4 @t12))))) % 0.33/0.56 (assume @p9 (forall @t13 (=> @t11 (not (tptp.apart_point_and_line @t14 @t1))))) % 0.33/0.56 (assume @p10 (forall @t13 (=> @t11 (not (tptp.apart_point_and_line @t14 @t4))))) % 0.33/0.56 (assume @p11 (forall (@list @t1 @t4 @t16 @t15) (=> (and @t6 (tptp.distinct_lines @t16 @t15)) (or (tptp.apart_point_and_line @t1 @t16) (tptp.apart_point_and_line @t1 @t15) (tptp.apart_point_and_line @t4 @t16) (tptp.apart_point_and_line @t4 @t15))))) % 0.33/0.56 (assume @p12 (forall @t7 (=> @t17 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.33/0.56 (assume @p13 (forall @t7 (=> @t17 (or @t8 @t18)))) % 0.33/0.56 (assume @p14 (forall @t7 (=> @t11 (or @t8 @t10)))) % 0.33/0.56 (assume @p15 (forall @t13 (not (tptp.convergent_lines @t19 @t4)))) % 0.33/0.56 (assume @p16 (forall @t13 (not (tptp.apart_point_and_line @t1 @t19)))) % 0.33/0.56 (assume @p17 @t21) % 0.33/0.56 (assume @p18 @t28) % 0.33/0.56 (assume @p19 true) % 0.33/0.56 (step @p20 :rule aci_norm :args ((= (or @t22 @t20) @t29))) % 0.33/0.56 (step @p21 :rule bool-impl-elim :args (@t8 @t20)) % 0.33/0.56 (step @p22 :rule trans :premises (@p21 @p20)) % 0.33/0.56 (step @p23 :rule cong :premises (@p22) :args (@t21)) % 0.33/0.56 (step @p24 :rule eq_resolve :premises (@p17 @p23)) % 0.33/0.56 (step @p25 :rule aci_norm :args ((= @t30 @t29))) % 0.33/0.56 (step @p26 :rule cong :premises (@p25) :args (@t31)) % 0.33/0.56 (step @p27 :rule true_intro :premises (@p26)) % 0.33/0.56 (step @p28 :rule eq-symm :args (@t32 @t31)) % 0.33/0.56 (step @p29 :rule trans :premises (@p28 @p27)) % 0.33/0.56 (step @p30 :rule true_elim :premises (@p29)) % 0.33/0.56 (step @p31 :rule equiv_elim1 :premises (@p30)) % 0.33/0.56 (step @p32 :rule reordering :premises (@p31) :args ((or @t31 (not @t32)))) % 0.33/0.56 (step @p33 :rule chain_m_resolution :premises (@p32 @p24) :args (@t31 @t33 (@list @t32))) % 0.33/0.56 (step @p34 :rule aci_norm :args ((= (or @t20 @t22) @t30))) % 0.33/0.56 (step @p35 :rule refl :args (@t22)) % 0.33/0.56 (step @p36 :rule bool-double-not-elim :args (@t9)) % 0.33/0.56 (step @p37 :rule bool-double-not-elim :args (@t18)) % 0.33/0.56 (step @p38 :rule bool-double-not-elim :args (@t17)) % 0.33/0.56 (step @p39 :rule nary_cong :premises (@p38 @p37 @p36) :args (@t37)) % 0.33/0.56 (step @p40 :rule aci_norm :args ((= (or @t36 (or @t35 @t34)) @t37))) % 0.33/0.56 (step @p41 :rule trans :premises (@p40 @p39)) % 0.33/0.56 (step @p42 :rule bool-and-de-morgan :args (@t24 @t23 true)) % 0.33/0.56 (step @p43 :rule refl :args (@t36)) % 0.33/0.56 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or @t36 (not (and @t24 @t23))))) % 0.33/0.56 (step @p45 :rule bool-and-de-morgan :args (@t25 @t24 (and @t23))) % 0.33/0.56 (step @p46 :rule trans :premises (@p45 @p44)) % 0.33/0.56 (step @p47 :rule trans :premises (@p46 @p41)) % 0.33/0.56 (step @p48 :rule nary_cong :premises (@p47 @p35) :args ((or (not @t26) @t22))) % 0.33/0.56 (step @p49 :rule trans :premises (@p48 @p34)) % 0.33/0.56 (step @p50 :rule bool-impl-elim :args (@t26 @t22)) % 0.33/0.56 (step @p51 :rule trans :premises (@p50 @p49)) % 0.33/0.56 (step @p52 :rule cong :premises (@p51) :args (@t27)) % 0.33/0.56 (step @p53 :rule cong :premises (@p52) :args (@t28)) % 0.33/0.56 (step @p54 :rule eq_resolve :premises (@p18 @p53)) % 0.33/0.56 (step @p55 false :rule chain_m_resolution :premises (@p54 @p33) :args (false @t33 (@list @t31))) % 0.33/0.56 ) % 0.33/0.56 % SZS output end Proof % 0.33/0.56 % cvc5 exiting %------------------------------------------------------------------------------