%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO211+2 : 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 : n018.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 08:16:45 AM UTC 2026 % Result : Theorem 0.38s 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 : GEO211+2 : 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 % 0.16/0.35 % Computer : n018.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 23:40:20 EDT 2026 % 0.16/0.35 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.56 (define @t2 () (@list @t1)) % 0.38/0.56 (define @t3 () (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.38/0.56 (define @t4 () (@var "Z" $$unsorted)) % 0.38/0.56 (define @t5 () (@var "Y" $$unsorted)) % 0.38/0.56 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.38/0.56 (define @t7 () (tptp.distinct_points @t1 @t5)) % 0.38/0.56 (define @t8 () (@list @t1 @t5 @t4)) % 0.38/0.56 (define @t9 () (tptp.distinct_lines @t5 @t4)) % 0.38/0.56 (define @t10 () (tptp.distinct_lines @t1 @t5)) % 0.38/0.56 (define @t11 () (tptp.convergent_lines @t5 @t4)) % 0.38/0.56 (define @t12 () (tptp.convergent_lines @t1 @t5)) % 0.38/0.56 (define @t13 () (tptp.apart_point_and_line @t4 @t5)) % 0.38/0.56 (define @t14 () (@var "V" $$unsorted)) % 0.38/0.56 (define @t15 () (@var "U" $$unsorted)) % 0.38/0.56 (define @t16 () (tptp.apart_point_and_line @t1 @t5)) % 0.38/0.56 (define @t17 () (tptp.apart_point_and_line @t1 @t4)) % 0.38/0.56 (define @t18 () (@list @t1 @t5)) % 0.38/0.56 (define @t19 () (tptp.parallel_through_point @t5 @t1)) % 0.38/0.56 (define @t20 () (@var "M" $$unsorted)) % 0.38/0.56 (define @t21 () (@var "L" $$unsorted)) % 0.38/0.56 (define @t22 () (tptp.unorthogonal_lines @t21 @t20)) % 0.38/0.56 (define @t23 () (tptp.convergent_lines @t21 @t20)) % 0.38/0.56 (define @t24 () (@var "N" $$unsorted)) % 0.38/0.56 (define @t25 () (tptp.unorthogonal_lines @t20 @t24)) % 0.38/0.56 (define @t26 () (tptp.unorthogonal_lines @t21 @t24)) % 0.38/0.56 (define @t27 () (@var "A" $$unsorted)) % 0.38/0.56 (define @t28 () (tptp.orthogonal_through_point @t21 @t27)) % 0.38/0.56 (define @t29 () (@list @t27 @t21)) % 0.38/0.56 (define @t30 () (forall (@list @t21) (tptp.unorthogonal_lines @t21 @t21))) % 0.38/0.56 (define @t31 () (@quantifiers_skolemize @t30 0)) % 0.38/0.56 (define @t32 () (tptp.unorthogonal_lines @t31 @t31)) % 0.38/0.56 (define @t33 () (tptp.convergent_lines @t31 @t31)) % 0.38/0.56 (define @t34 () (or @t33 @t32)) % 0.38/0.56 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.38/0.56 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.38/0.56 (assume @p3 @t3) % 0.38/0.56 (assume @p4 (forall @t8 (=> @t7 (or @t6 (tptp.distinct_points @t5 @t4))))) % 0.38/0.56 (assume @p5 (forall @t8 (=> @t10 (or (tptp.distinct_lines @t1 @t4) @t9)))) % 0.38/0.56 (assume @p6 (forall @t8 (=> @t12 (or (tptp.convergent_lines @t1 @t4) @t11)))) % 0.38/0.56 (assume @p7 (forall @t8 (=> @t7 (=> (tptp.apart_point_and_line @t4 (tptp.line_connecting @t1 @t5)) (and (tptp.distinct_points @t4 @t1) (tptp.distinct_points @t4 @t5)))))) % 0.38/0.56 (assume @p8 (forall @t8 (=> @t12 (=> (or (tptp.apart_point_and_line @t4 @t1) @t13) (tptp.distinct_points @t4 (tptp.intersection_point @t1 @t5)))))) % 0.38/0.56 (assume @p9 (forall (@list @t1 @t5 @t15 @t14) (=> (and @t7 (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 @t5 @t15) (tptp.apart_point_and_line @t5 @t14))))) % 0.38/0.56 (assume @p10 (forall @t8 (=> @t16 (or @t6 @t13)))) % 0.38/0.56 (assume @p11 (forall @t8 (=> @t16 (or @t9 @t17)))) % 0.38/0.56 (assume @p12 (forall @t18 (=> @t12 @t10))) % 0.38/0.56 (assume @p13 (forall @t18 (not (tptp.convergent_lines @t19 @t5)))) % 0.38/0.56 (assume @p14 (forall @t18 (not (tptp.apart_point_and_line @t1 @t19)))) % 0.38/0.56 (assume @p15 (forall @t8 (=> @t9 (or @t16 @t17 @t11)))) % 0.38/0.56 (assume @p16 (forall (@list @t21 @t20) (or @t23 @t22))) % 0.38/0.56 (assume @p17 (forall (@list @t21 @t20 @t24) (=> (and @t23 @t22) (or (and (tptp.convergent_lines @t21 @t24) @t26) (and (tptp.convergent_lines @t20 @t24) @t25))))) % 0.38/0.56 (assume @p18 (forall @t29 (not (tptp.unorthogonal_lines @t28 @t21)))) % 0.38/0.56 (assume @p19 (forall @t29 (not (tptp.apart_point_and_line @t27 @t28)))) % 0.38/0.56 (assume @p20 (forall (@list @t27 @t21 @t20 @t24) (=> (tptp.distinct_lines @t21 @t20) (or (tptp.apart_point_and_line @t27 @t21) (tptp.apart_point_and_line @t27 @t20) @t26 @t25)))) % 0.38/0.56 (assume @p21 (not @t30)) % 0.38/0.56 (assume @p22 true) % 0.38/0.56 (step @p23 :rule instantiate :premises (@p16) :args ((@list @t31 @t31))) % 0.38/0.56 (step @p24 :rule skolemize :premises (@p21)) % 0.38/0.56 (step @p25 :rule cnf_or_pos :args (@t34)) % 0.38/0.56 (step @p26 :rule reordering :premises (@p25) :args ((or @t32 @t33 (not @t34)))) % 0.38/0.56 (step @p27 :rule chain_m_resolution :premises (@p26 @p24 @p23) :args (@t33 (@list true false) (@list @t32 @t34))) % 0.38/0.56 (assume-push @p34 @t3) % 0.38/0.56 (step @p29 :rule instantiate :premises (@p3) :args ((@list @t31))) % 0.38/0.56 (step-pop @p35 :rule scope :premises (@p29)) % 0.38/0.56 (step @p30 :rule process_scope :premises (@p35) :args ((not @t33))) % 0.38/0.56 (step @p32 :rule implies_elim :premises (@p30)) % 0.38/0.56 (step @p33 false :rule chain_m_resolution :premises (@p32 @p27 @p3) :args (false (@list false false) (@list @t33 @t3))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------