%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO208+2 : 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 : n005.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 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : GEO208+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n005.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Mon Jun 1 23:40:03 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.57 (define @t2 () (@list @t1)) % 0.38/0.57 (define @t3 () (@var "Z" $$unsorted)) % 0.38/0.57 (define @t4 () (@var "Y" $$unsorted)) % 0.38/0.57 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.38/0.57 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.38/0.57 (define @t7 () (@list @t1 @t4 @t3)) % 0.38/0.57 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.38/0.57 (define @t9 () (tptp.distinct_lines @t1 @t4)) % 0.38/0.57 (define @t10 () (tptp.convergent_lines @t4 @t3)) % 0.38/0.57 (define @t11 () (tptp.convergent_lines @t1 @t4)) % 0.38/0.57 (define @t12 () (tptp.apart_point_and_line @t3 @t4)) % 0.38/0.57 (define @t13 () (@var "V" $$unsorted)) % 0.38/0.57 (define @t14 () (@var "U" $$unsorted)) % 0.38/0.57 (define @t15 () (tptp.apart_point_and_line @t1 @t4)) % 0.38/0.57 (define @t16 () (tptp.apart_point_and_line @t1 @t3)) % 0.38/0.57 (define @t17 () (@list @t1 @t4)) % 0.38/0.57 (define @t18 () (tptp.parallel_through_point @t4 @t1)) % 0.38/0.57 (define @t19 () (or @t15 @t16 @t10)) % 0.38/0.57 (define @t20 () (forall @t7 (=> @t8 @t19))) % 0.38/0.57 (define @t21 () (not @t8)) % 0.38/0.57 (define @t22 () (not @t10)) % 0.38/0.57 (define @t23 () (not @t16)) % 0.38/0.57 (define @t24 () (not @t15)) % 0.38/0.57 (define @t25 () (and @t24 @t23 @t22)) % 0.38/0.57 (define @t26 () (forall @t7 (=> @t25 @t21))) % 0.38/0.57 (define @t27 () (not @t26)) % 0.38/0.57 (define @t28 () (or @t21 @t15 @t16 @t10)) % 0.38/0.57 (define @t29 () (or @t15 @t16 @t10 @t21)) % 0.38/0.57 (define @t30 () (forall @t7 @t29)) % 0.38/0.57 (define @t31 () (forall @t7 @t28)) % 0.38/0.57 (define @t32 () (@list false)) % 0.38/0.57 (define @t33 () (not @t22)) % 0.38/0.57 (define @t34 () (not @t23)) % 0.38/0.57 (define @t35 () (not @t24)) % 0.38/0.57 (define @t36 () (or @t35 @t34 @t33)) % 0.38/0.57 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.38/0.57 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.38/0.57 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.38/0.57 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.38/0.57 (assume @p5 (forall @t7 (=> @t9 (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.38/0.57 (assume @p6 (forall @t7 (=> @t11 (or (tptp.convergent_lines @t1 @t3) @t10)))) % 0.38/0.57 (assume @p7 (forall @t7 (=> @t6 (=> (tptp.apart_point_and_line @t3 (tptp.line_connecting @t1 @t4)) (and (tptp.distinct_points @t3 @t1) (tptp.distinct_points @t3 @t4)))))) % 0.38/0.57 (assume @p8 (forall @t7 (=> @t11 (=> (or (tptp.apart_point_and_line @t3 @t1) @t12) (tptp.distinct_points @t3 (tptp.intersection_point @t1 @t4)))))) % 0.38/0.57 (assume @p9 (forall (@list @t1 @t4 @t14 @t13) (=> (and @t6 (tptp.distinct_lines @t14 @t13)) (or (tptp.apart_point_and_line @t1 @t14) (tptp.apart_point_and_line @t1 @t13) (tptp.apart_point_and_line @t4 @t14) (tptp.apart_point_and_line @t4 @t13))))) % 0.38/0.57 (assume @p10 (forall @t7 (=> @t15 (or @t5 @t12)))) % 0.38/0.57 (assume @p11 (forall @t7 (=> @t15 (or @t8 @t16)))) % 0.38/0.57 (assume @p12 (forall @t17 (=> @t11 @t9))) % 0.38/0.57 (assume @p13 (forall @t17 (not (tptp.convergent_lines @t18 @t4)))) % 0.38/0.57 (assume @p14 (forall @t17 (not (tptp.apart_point_and_line @t1 @t18)))) % 0.38/0.57 (assume @p15 @t20) % 0.38/0.57 (assume @p16 @t27) % 0.38/0.57 (assume @p17 true) % 0.38/0.57 (step @p18 :rule aci_norm :args ((= (or @t21 @t19) @t28))) % 0.38/0.57 (step @p19 :rule bool-impl-elim :args (@t8 @t19)) % 0.38/0.57 (step @p20 :rule trans :premises (@p19 @p18)) % 0.38/0.57 (step @p21 :rule cong :premises (@p20) :args (@t20)) % 0.38/0.57 (step @p22 :rule eq_resolve :premises (@p15 @p21)) % 0.38/0.57 (step @p23 :rule aci_norm :args ((= @t29 @t28))) % 0.38/0.57 (step @p24 :rule cong :premises (@p23) :args (@t30)) % 0.38/0.57 (step @p25 :rule true_intro :premises (@p24)) % 0.38/0.57 (step @p26 :rule eq-symm :args (@t31 @t30)) % 0.38/0.57 (step @p27 :rule trans :premises (@p26 @p25)) % 0.38/0.57 (step @p28 :rule true_elim :premises (@p27)) % 0.38/0.57 (step @p29 :rule equiv_elim1 :premises (@p28)) % 0.38/0.57 (step @p30 :rule reordering :premises (@p29) :args ((or @t30 (not @t31)))) % 0.38/0.57 (step @p31 :rule chain_m_resolution :premises (@p30 @p22) :args (@t30 @t32 (@list @t31))) % 0.38/0.57 (step @p32 :rule aci_norm :args ((= (or @t19 @t21) @t29))) % 0.38/0.57 (step @p33 :rule refl :args (@t21)) % 0.38/0.57 (step @p34 :rule bool-double-not-elim :args (@t10)) % 0.38/0.57 (step @p35 :rule bool-double-not-elim :args (@t16)) % 0.38/0.57 (step @p36 :rule bool-double-not-elim :args (@t15)) % 0.38/0.57 (step @p37 :rule nary_cong :premises (@p36 @p35 @p34) :args (@t36)) % 0.38/0.57 (step @p38 :rule aci_norm :args ((= (or @t35 (or @t34 @t33)) @t36))) % 0.38/0.57 (step @p39 :rule trans :premises (@p38 @p37)) % 0.38/0.57 (step @p40 :rule bool-and-de-morgan :args (@t23 @t22 true)) % 0.38/0.57 (step @p41 :rule refl :args (@t35)) % 0.38/0.57 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t35 (not (and @t23 @t22))))) % 0.38/0.57 (step @p43 :rule bool-and-de-morgan :args (@t24 @t23 (and @t22))) % 0.38/0.57 (step @p44 :rule trans :premises (@p43 @p42)) % 0.38/0.57 (step @p45 :rule trans :premises (@p44 @p39)) % 0.38/0.57 (step @p46 :rule nary_cong :premises (@p45 @p33) :args ((or (not @t25) @t21))) % 0.38/0.57 (step @p47 :rule trans :premises (@p46 @p32)) % 0.38/0.57 (step @p48 :rule bool-impl-elim :args (@t25 @t21)) % 0.38/0.57 (step @p49 :rule trans :premises (@p48 @p47)) % 0.38/0.57 (step @p50 :rule cong :premises (@p49) :args (@t26)) % 0.38/0.57 (step @p51 :rule cong :premises (@p50) :args (@t27)) % 0.38/0.57 (step @p52 :rule eq_resolve :premises (@p16 @p51)) % 0.38/0.57 (step @p53 false :rule chain_m_resolution :premises (@p52 @p31) :args (false @t32 (@list @t30))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------