%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO216+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 : 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 08:16:47 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO216+2 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n003.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 23:40:14 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.58 (define @t2 () (@list @t1)) % 0.38/0.58 (define @t3 () (@var "Z" $$unsorted)) % 0.38/0.58 (define @t4 () (@var "Y" $$unsorted)) % 0.38/0.58 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.38/0.58 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.38/0.58 (define @t7 () (@list @t1 @t4 @t3)) % 0.38/0.58 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.38/0.58 (define @t9 () (tptp.distinct_lines @t1 @t4)) % 0.38/0.58 (define @t10 () (tptp.convergent_lines @t1 @t4)) % 0.38/0.58 (define @t11 () (tptp.apart_point_and_line @t3 @t4)) % 0.38/0.58 (define @t12 () (@var "V" $$unsorted)) % 0.38/0.58 (define @t13 () (@var "U" $$unsorted)) % 0.38/0.58 (define @t14 () (tptp.apart_point_and_line @t1 @t4)) % 0.38/0.58 (define @t15 () (@var "M" $$unsorted)) % 0.38/0.58 (define @t16 () (@var "L" $$unsorted)) % 0.38/0.58 (define @t17 () (tptp.unorthogonal_lines @t16 @t15)) % 0.38/0.58 (define @t18 () (not @t17)) % 0.38/0.58 (define @t19 () (tptp.convergent_lines @t16 @t15)) % 0.38/0.58 (define @t20 () (not @t19)) % 0.38/0.58 (define @t21 () (forall (@list @t16 @t15) (not (and @t20 @t18)))) % 0.38/0.58 (define @t22 () (@var "N" $$unsorted)) % 0.38/0.58 (define @t23 () (not (tptp.convergent_lines @t15 @t22))) % 0.38/0.58 (define @t24 () (tptp.unorthogonal_lines @t16 @t22)) % 0.38/0.58 (define @t25 () (not @t24)) % 0.38/0.58 (define @t26 () (@list @t16 @t15 @t22)) % 0.38/0.58 (define @t27 () (and @t18 @t25)) % 0.38/0.58 (define @t28 () (forall @t26 (=> @t27 @t23))) % 0.38/0.58 (define @t29 () (tptp.unorthogonal_lines @t16 @t16)) % 0.38/0.58 (define @t30 () (@list @t16)) % 0.38/0.58 (define @t31 () (forall @t30 (not (not @t29)))) % 0.38/0.58 (define @t32 () (not @t31)) % 0.38/0.58 (define @t33 () (not @t18)) % 0.38/0.58 (define @t34 () (@quantifiers_skolemize (forall @t30 @t29) 0)) % 0.38/0.58 (define @t35 () (tptp.unorthogonal_lines @t34 @t34)) % 0.38/0.58 (define @t36 () (tptp.convergent_lines @t34 @t34)) % 0.38/0.58 (define @t37 () (or @t36 @t35)) % 0.38/0.58 (define @t38 () (not @t36)) % 0.38/0.58 (define @t39 () (or @t35 @t35 @t38)) % 0.38/0.58 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.38/0.58 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.38/0.58 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.38/0.58 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.38/0.58 (assume @p5 (forall @t7 (=> @t9 (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.38/0.58 (assume @p6 (forall @t7 (=> @t10 (or (tptp.convergent_lines @t1 @t3) (tptp.convergent_lines @t4 @t3))))) % 0.38/0.58 (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)))))) % 0.38/0.58 (assume @p8 (forall @t7 (=> @t10 (=> (or (tptp.apart_point_and_line @t3 @t1) @t11) (tptp.distinct_points @t3 (tptp.intersection_point @t1 @t4)))))) % 0.38/0.58 (assume @p9 (forall (@list @t1 @t4 @t13 @t12) (=> (and @t6 (tptp.distinct_lines @t13 @t12)) (or (tptp.apart_point_and_line @t1 @t13) (tptp.apart_point_and_line @t1 @t12) (tptp.apart_point_and_line @t4 @t13) (tptp.apart_point_and_line @t4 @t12))))) % 0.38/0.58 (assume @p10 (forall @t7 (=> @t14 (or @t5 @t11)))) % 0.38/0.58 (assume @p11 (forall @t7 (=> @t14 (or @t8 (tptp.apart_point_and_line @t1 @t3))))) % 0.38/0.58 (assume @p12 (forall (@list @t1 @t4) (=> @t10 @t9))) % 0.38/0.58 (assume @p13 @t21) % 0.38/0.58 (assume @p14 (forall @t26 (=> (and (or @t20 @t18) (or (not (tptp.convergent_lines @t16 @t22)) @t25)) (or @t23 (not (tptp.unorthogonal_lines @t15 @t22)))))) % 0.38/0.58 (assume @p15 @t28) % 0.38/0.58 (assume @p16 @t32) % 0.38/0.58 (assume @p17 true) % 0.38/0.58 (step @p18 :rule bool-double-not-elim :args (@t29)) % 0.38/0.58 (step @p19 :rule cong :premises (@p18) :args (@t31)) % 0.38/0.58 (step @p20 :rule cong :premises (@p19) :args (@t32)) % 0.38/0.58 (step @p21 :rule eq_resolve :premises (@p16 @p20)) % 0.38/0.58 (step @p22 :rule skolemize :premises (@p21)) % 0.38/0.58 (step @p23 :rule aci_norm :args ((= (or (or @t17 @t24) @t23) (or @t17 @t24 @t23)))) % 0.38/0.58 (step @p24 :rule refl :args (@t23)) % 0.38/0.58 (step @p25 :rule bool-double-not-elim :args (@t24)) % 0.38/0.58 (step @p26 :rule bool-double-not-elim :args (@t17)) % 0.38/0.58 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or @t33 (not @t25)))) % 0.38/0.58 (step @p28 :rule bool-and-de-morgan :args (@t18 @t25 true)) % 0.38/0.58 (step @p29 :rule trans :premises (@p28 @p27)) % 0.38/0.58 (step @p30 :rule nary_cong :premises (@p29 @p24) :args ((or (not @t27) @t23))) % 0.38/0.58 (step @p31 :rule trans :premises (@p30 @p23)) % 0.38/0.58 (step @p32 :rule bool-impl-elim :args (@t27 @t23)) % 0.38/0.58 (step @p33 :rule trans :premises (@p32 @p31)) % 0.38/0.58 (step @p34 :rule cong :premises (@p33) :args (@t28)) % 0.38/0.58 (step @p35 :rule eq_resolve :premises (@p15 @p34)) % 0.38/0.58 (step @p36 :rule instantiate :premises (@p35) :args ((@list @t34 @t34 @t34))) % 0.38/0.58 (step @p37 :rule bool-double-not-elim :args (@t19)) % 0.38/0.58 (step @p38 :rule nary_cong :premises (@p37 @p26) :args ((or (not @t20) @t33))) % 0.38/0.58 (step @p39 :rule bool-and-de-morgan :args (@t20 @t18 true)) % 0.38/0.58 (step @p40 :rule trans :premises (@p39 @p38)) % 0.38/0.58 (step @p41 :rule cong :premises (@p40) :args (@t21)) % 0.38/0.58 (step @p42 :rule eq_resolve :premises (@p13 @p41)) % 0.38/0.58 (step @p43 :rule instantiate :premises (@p42) :args ((@list @t34 @t34))) % 0.38/0.58 (step @p44 :rule cnf_or_pos :args (@t37)) % 0.38/0.58 (step @p45 :rule reordering :premises (@p44) :args ((or @t35 @t36 (not @t37)))) % 0.38/0.58 (step @p46 :rule chain_m_resolution :premises (@p45 @p22 @p43) :args (@t36 (@list true false) (@list @t35 @t37))) % 0.38/0.58 (step @p47 :rule cnf_or_pos :args (@t39)) % 0.38/0.58 (step @p48 :rule factoring :premises (@p47)) % 0.38/0.58 (step @p49 :rule reordering :premises (@p48) :args ((or @t35 @t38 (not @t39)))) % 0.38/0.58 (step @p50 false :rule chain_m_resolution :premises (@p49 @p46 @p36 @p22) :args (false (@list false false true) (@list @t36 @t39 @t35))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------