%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO220+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 : n022.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 08:16:48 AM UTC 2026 % Result : Theorem 0.27s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO220+1 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n022.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Mon Jun 1 23:40:38 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.27/0.56 % SZS status Theorem % 0.27/0.56 % SZS output start Proof % 0.27/0.56 ( % 0.27/0.56 (declare-sort $$unsorted 0) % 0.27/0.56 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.27/0.56 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.27/0.56 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.27/0.56 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.27/0.56 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.27/0.56 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.27/0.56 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.27/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.27/0.56 (define @t2 () (@list @t1)) % 0.27/0.56 (define @t3 () (@var "Z" $$unsorted)) % 0.27/0.56 (define @t4 () (@var "Y" $$unsorted)) % 0.27/0.56 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.27/0.56 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.27/0.56 (define @t7 () (@list @t1 @t4 @t3)) % 0.27/0.56 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.27/0.56 (define @t9 () (tptp.convergent_lines @t1 @t3)) % 0.27/0.56 (define @t10 () (tptp.convergent_lines @t1 @t4)) % 0.27/0.56 (define @t11 () (tptp.line_connecting @t1 @t4)) % 0.27/0.56 (define @t12 () (@list @t1 @t4)) % 0.27/0.56 (define @t13 () (tptp.intersection_point @t1 @t4)) % 0.27/0.56 (define @t14 () (@var "V" $$unsorted)) % 0.27/0.56 (define @t15 () (@var "U" $$unsorted)) % 0.27/0.56 (define @t16 () (tptp.apart_point_and_line @t1 @t4)) % 0.27/0.56 (define @t17 () (@var "M" $$unsorted)) % 0.27/0.56 (define @t18 () (@var "L" $$unsorted)) % 0.27/0.56 (define @t19 () (tptp.unorthogonal_lines @t18 @t17)) % 0.27/0.56 (define @t20 () (not @t19)) % 0.27/0.56 (define @t21 () (not (tptp.convergent_lines @t18 @t17))) % 0.27/0.56 (define @t22 () (@var "N" $$unsorted)) % 0.27/0.56 (define @t23 () (not (tptp.convergent_lines @t17 @t22))) % 0.27/0.56 (define @t24 () (tptp.unorthogonal_lines @t18 @t22)) % 0.27/0.56 (define @t25 () (not @t24)) % 0.27/0.56 (define @t26 () (@list @t18 @t17 @t22)) % 0.27/0.56 (define @t27 () (and @t20 @t25)) % 0.27/0.56 (define @t28 () (forall @t26 (=> @t27 @t23))) % 0.27/0.56 (define @t29 () (not @t28)) % 0.27/0.56 (define @t30 () (or @t19 @t24 @t23)) % 0.27/0.56 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.27/0.56 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.27/0.56 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.27/0.56 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.27/0.56 (assume @p5 (forall @t7 (=> (tptp.distinct_lines @t1 @t4) (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.27/0.56 (assume @p6 (forall @t7 (=> @t10 (or @t9 (tptp.convergent_lines @t4 @t3))))) % 0.27/0.56 (assume @p7 (forall @t12 (=> @t6 (not (tptp.apart_point_and_line @t1 @t11))))) % 0.27/0.56 (assume @p8 (forall @t12 (=> @t6 (not (tptp.apart_point_and_line @t4 @t11))))) % 0.27/0.56 (assume @p9 (forall @t12 (=> @t10 (not (tptp.apart_point_and_line @t13 @t1))))) % 0.27/0.56 (assume @p10 (forall @t12 (=> @t10 (not (tptp.apart_point_and_line @t13 @t4))))) % 0.27/0.56 (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))))) % 0.27/0.56 (assume @p12 (forall @t7 (=> @t16 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.27/0.56 (assume @p13 (forall @t7 (=> @t16 (or @t8 (tptp.apart_point_and_line @t1 @t3))))) % 0.27/0.56 (assume @p14 (forall @t7 (=> @t10 (or @t8 @t9)))) % 0.27/0.56 (assume @p15 (forall (@list @t18 @t17) (not (and @t21 @t20)))) % 0.27/0.56 (assume @p16 (forall @t26 (=> (and (or @t21 @t20) (or (not (tptp.convergent_lines @t18 @t22)) @t25)) (or @t23 (not (tptp.unorthogonal_lines @t17 @t22)))))) % 0.27/0.56 (assume @p17 @t28) % 0.27/0.56 (assume @p18 @t29) % 0.27/0.56 (assume @p19 true) % 0.27/0.56 (step @p20 :rule aci_norm :args ((= (or (or @t19 @t24) @t23) @t30))) % 0.27/0.56 (step @p21 :rule refl :args (@t23)) % 0.27/0.56 (step @p22 :rule bool-double-not-elim :args (@t24)) % 0.27/0.56 (step @p23 :rule bool-double-not-elim :args (@t19)) % 0.27/0.56 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or (not @t20) (not @t25)))) % 0.27/0.56 (step @p25 :rule bool-and-de-morgan :args (@t20 @t25 true)) % 0.27/0.56 (step @p26 :rule trans :premises (@p25 @p24)) % 0.27/0.56 (step @p27 :rule nary_cong :premises (@p26 @p21) :args ((or (not @t27) @t23))) % 0.27/0.56 (step @p28 :rule trans :premises (@p27 @p20)) % 0.27/0.56 (step @p29 :rule bool-impl-elim :args (@t27 @t23)) % 0.27/0.56 (step @p30 :rule trans :premises (@p29 @p28)) % 0.27/0.56 (step @p31 :rule cong :premises (@p30) :args (@t28)) % 0.38/0.56 (step @p32 :rule eq_resolve :premises (@p17 @p31)) % 0.38/0.56 (step @p33 :rule cong :premises (@p31) :args (@t29)) % 0.38/0.56 (step @p34 :rule eq_resolve :premises (@p18 @p33)) % 0.38/0.56 (step @p35 false :rule chain_m_resolution :premises (@p34 @p32) :args (false (@list false) (@list (forall @t26 @t30)))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting 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