%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO216+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:16:47 AM UTC 2026 % Result : Theorem 0.34s 0.56s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO216+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n010.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 23:40:25 EDT 2026 % 0.17/0.35 % CPUTime : % 0.34/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/0.56 % SZS status Theorem % 0.34/0.56 % SZS output start Proof % 0.34/0.56 ( % 0.34/0.56 (declare-sort $$unsorted 0) % 0.34/0.56 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.34/0.56 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.56 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.34/0.56 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.56 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.34/0.56 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.34/0.56 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.34/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.34/0.56 (define @t2 () (@list @t1)) % 0.34/0.56 (define @t3 () (@var "Z" $$unsorted)) % 0.34/0.56 (define @t4 () (@var "Y" $$unsorted)) % 0.34/0.56 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.34/0.56 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.34/0.56 (define @t7 () (@list @t1 @t4 @t3)) % 0.34/0.56 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.34/0.56 (define @t9 () (tptp.convergent_lines @t1 @t3)) % 0.34/0.57 (define @t10 () (tptp.convergent_lines @t1 @t4)) % 0.34/0.57 (define @t11 () (tptp.line_connecting @t1 @t4)) % 0.34/0.57 (define @t12 () (@list @t1 @t4)) % 0.34/0.57 (define @t13 () (tptp.intersection_point @t1 @t4)) % 0.34/0.57 (define @t14 () (@var "V" $$unsorted)) % 0.34/0.57 (define @t15 () (@var "U" $$unsorted)) % 0.34/0.57 (define @t16 () (tptp.apart_point_and_line @t1 @t4)) % 0.34/0.57 (define @t17 () (@var "M" $$unsorted)) % 0.34/0.57 (define @t18 () (@var "L" $$unsorted)) % 0.34/0.57 (define @t19 () (tptp.unorthogonal_lines @t18 @t17)) % 0.34/0.57 (define @t20 () (not @t19)) % 0.34/0.57 (define @t21 () (tptp.convergent_lines @t18 @t17)) % 0.34/0.57 (define @t22 () (not @t21)) % 0.34/0.57 (define @t23 () (forall (@list @t18 @t17) (not (and @t22 @t20)))) % 0.34/0.57 (define @t24 () (@var "N" $$unsorted)) % 0.34/0.57 (define @t25 () (not (tptp.convergent_lines @t17 @t24))) % 0.34/0.57 (define @t26 () (tptp.unorthogonal_lines @t18 @t24)) % 0.34/0.57 (define @t27 () (not @t26)) % 0.34/0.57 (define @t28 () (@list @t18 @t17 @t24)) % 0.34/0.57 (define @t29 () (and @t20 @t27)) % 0.34/0.57 (define @t30 () (forall @t28 (=> @t29 @t25))) % 0.34/0.57 (define @t31 () (tptp.unorthogonal_lines @t18 @t18)) % 0.34/0.57 (define @t32 () (@list @t18)) % 0.34/0.57 (define @t33 () (forall @t32 (not (not @t31)))) % 0.34/0.57 (define @t34 () (not @t33)) % 0.34/0.57 (define @t35 () (not @t20)) % 0.34/0.57 (define @t36 () (@quantifiers_skolemize (forall @t32 @t31) 0)) % 0.34/0.57 (define @t37 () (tptp.unorthogonal_lines @t36 @t36)) % 0.34/0.57 (define @t38 () (tptp.convergent_lines @t36 @t36)) % 0.34/0.57 (define @t39 () (or @t38 @t37)) % 0.34/0.57 (define @t40 () (not @t38)) % 0.34/0.57 (define @t41 () (or @t37 @t37 @t40)) % 0.34/0.57 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.34/0.57 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.34/0.57 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.34/0.57 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.34/0.57 (assume @p5 (forall @t7 (=> (tptp.distinct_lines @t1 @t4) (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.34/0.57 (assume @p6 (forall @t7 (=> @t10 (or @t9 (tptp.convergent_lines @t4 @t3))))) % 0.34/0.57 (assume @p7 (forall @t12 (=> @t6 (not (tptp.apart_point_and_line @t1 @t11))))) % 0.34/0.57 (assume @p8 (forall @t12 (=> @t6 (not (tptp.apart_point_and_line @t4 @t11))))) % 0.34/0.57 (assume @p9 (forall @t12 (=> @t10 (not (tptp.apart_point_and_line @t13 @t1))))) % 0.34/0.57 (assume @p10 (forall @t12 (=> @t10 (not (tptp.apart_point_and_line @t13 @t4))))) % 0.34/0.57 (assume @p11 (forall (@list @t1 @t4 @t15 @t14) (=> (and @t6 (tptp.distinct_lines @t15 @t14)) (or (tptp.apart_point_and_line @t1 @t15) (tptp.apart_point_and_line @t1 @t14) (tptp.apart_point_and_line @t4 @t15) (tptp.apart_point_and_line @t4 @t14))))) % 0.34/0.57 (assume @p12 (forall @t7 (=> @t16 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.34/0.57 (assume @p13 (forall @t7 (=> @t16 (or @t8 (tptp.apart_point_and_line @t1 @t3))))) % 0.34/0.57 (assume @p14 (forall @t7 (=> @t10 (or @t8 @t9)))) % 0.34/0.57 (assume @p15 @t23) % 0.34/0.57 (assume @p16 (forall @t28 (=> (and (or @t22 @t20) (or (not (tptp.convergent_lines @t18 @t24)) @t27)) (or @t25 (not (tptp.unorthogonal_lines @t17 @t24)))))) % 0.34/0.57 (assume @p17 @t30) % 0.34/0.57 (assume @p18 @t34) % 0.34/0.57 (assume @p19 true) % 0.34/0.57 (step @p20 :rule bool-double-not-elim :args (@t31)) % 0.34/0.57 (step @p21 :rule cong :premises (@p20) :args (@t33)) % 0.34/0.57 (step @p22 :rule cong :premises (@p21) :args (@t34)) % 0.34/0.57 (step @p23 :rule eq_resolve :premises (@p18 @p22)) % 0.34/0.57 (step @p24 :rule skolemize :premises (@p23)) % 0.34/0.57 (step @p25 :rule aci_norm :args ((= (or (or @t19 @t26) @t25) (or @t19 @t26 @t25)))) % 0.34/0.57 (step @p26 :rule refl :args (@t25)) % 0.34/0.57 (step @p27 :rule bool-double-not-elim :args (@t26)) % 0.34/0.57 (step @p28 :rule bool-double-not-elim :args (@t19)) % 0.34/0.57 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t35 (not @t27)))) % 0.34/0.57 (step @p30 :rule bool-and-de-morgan :args (@t20 @t27 true)) % 0.34/0.57 (step @p31 :rule trans :premises (@p30 @p29)) % 0.34/0.57 (step @p32 :rule nary_cong :premises (@p31 @p26) :args ((or (not @t29) @t25))) % 0.34/0.57 (step @p33 :rule trans :premises (@p32 @p25)) % 0.34/0.57 (step @p34 :rule bool-impl-elim :args (@t29 @t25)) % 0.34/0.57 (step @p35 :rule trans :premises (@p34 @p33)) % 0.34/0.57 (step @p36 :rule cong :premises (@p35) :args (@t30)) % 0.34/0.57 (step @p37 :rule eq_resolve :premises (@p17 @p36)) % 0.34/0.57 (step @p38 :rule instantiate :premises (@p37) :args ((@list @t36 @t36 @t36))) % 0.34/0.57 (step @p39 :rule bool-double-not-elim :args (@t21)) % 0.34/0.57 (step @p40 :rule nary_cong :premises (@p39 @p28) :args ((or (not @t22) @t35))) % 0.34/0.57 (step @p41 :rule bool-and-de-morgan :args (@t22 @t20 true)) % 0.34/0.57 (step @p42 :rule trans :premises (@p41 @p40)) % 0.34/0.57 (step @p43 :rule cong :premises (@p42) :args (@t23)) % 0.34/0.57 (step @p44 :rule eq_resolve :premises (@p15 @p43)) % 0.34/0.57 (step @p45 :rule instantiate :premises (@p44) :args ((@list @t36 @t36))) % 0.34/0.57 (step @p46 :rule cnf_or_pos :args (@t39)) % 0.34/0.57 (step @p47 :rule reordering :premises (@p46) :args ((or @t37 @t38 (not @t39)))) % 0.34/0.57 (step @p48 :rule chain_m_resolution :premises (@p47 @p24 @p45) :args (@t38 (@list true false) (@list @t37 @t39))) % 0.34/0.57 (step @p49 :rule cnf_or_pos :args (@t41)) % 0.34/0.57 (step @p50 :rule factoring :premises (@p49)) % 0.34/0.57 (step @p51 :rule reordering :premises (@p50) :args ((or @t37 @t40 (not @t41)))) % 0.34/0.57 (step @p52 false :rule chain_m_resolution :premises (@p51 @p48 @p38 @p24) :args (false (@list false false true) (@list @t38 @t41 @t37))) % 0.34/0.57 ) % 0.34/0.57 % SZS output end Proof % 0.34/0.57 % cvc5 exiting %------------------------------------------------------------------------------