%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO207+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO207+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n017.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 23:38:46 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.line (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.point (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.equal_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.56 (define @t2 () (@list @t1)) % 0.37/0.56 (define @t3 () (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.37/0.56 (define @t4 () (@var "Z" $$unsorted)) % 0.37/0.56 (define @t5 () (@var "Y" $$unsorted)) % 0.37/0.56 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.37/0.56 (define @t7 () (tptp.distinct_points @t1 @t5)) % 0.37/0.56 (define @t8 () (@list @t1 @t5 @t4)) % 0.37/0.56 (define @t9 () (tptp.distinct_lines @t5 @t4)) % 0.37/0.56 (define @t10 () (tptp.distinct_lines @t1 @t5)) % 0.37/0.56 (define @t11 () (tptp.convergent_lines @t5 @t4)) % 0.37/0.56 (define @t12 () (tptp.convergent_lines @t1 @t4)) % 0.37/0.56 (define @t13 () (tptp.convergent_lines @t1 @t5)) % 0.37/0.56 (define @t14 () (tptp.line_connecting @t1 @t5)) % 0.37/0.56 (define @t15 () (@list @t1 @t5)) % 0.37/0.56 (define @t16 () (tptp.intersection_point @t1 @t5)) % 0.37/0.56 (define @t17 () (@var "V" $$unsorted)) % 0.37/0.56 (define @t18 () (@var "U" $$unsorted)) % 0.37/0.56 (define @t19 () (tptp.apart_point_and_line @t1 @t5)) % 0.37/0.56 (define @t20 () (tptp.apart_point_and_line @t1 @t4)) % 0.37/0.56 (define @t21 () (tptp.parallel_through_point @t5 @t1)) % 0.37/0.56 (define @t22 () (@var "M" $$unsorted)) % 0.37/0.56 (define @t23 () (@var "L" $$unsorted)) % 0.37/0.56 (define @t24 () (tptp.unorthogonal_lines @t23 @t22)) % 0.37/0.56 (define @t25 () (tptp.convergent_lines @t23 @t22)) % 0.37/0.56 (define @t26 () (@list @t23 @t22)) % 0.37/0.56 (define @t27 () (@var "N" $$unsorted)) % 0.37/0.56 (define @t28 () (tptp.unorthogonal_lines @t22 @t27)) % 0.37/0.56 (define @t29 () (tptp.convergent_lines @t22 @t27)) % 0.37/0.56 (define @t30 () (tptp.unorthogonal_lines @t23 @t27)) % 0.37/0.56 (define @t31 () (tptp.convergent_lines @t23 @t27)) % 0.37/0.56 (define @t32 () (@list @t23 @t22 @t27)) % 0.37/0.56 (define @t33 () (@var "A" $$unsorted)) % 0.37/0.56 (define @t34 () (tptp.orthogonal_through_point @t23 @t33)) % 0.37/0.56 (define @t35 () (@list @t33 @t23)) % 0.37/0.56 (define @t36 () (not @t24)) % 0.37/0.56 (define @t37 () (not @t25)) % 0.37/0.56 (define @t38 () (not @t29)) % 0.37/0.56 (define @t39 () (not @t30)) % 0.37/0.56 (define @t40 () (@var "B" $$unsorted)) % 0.37/0.56 (define @t41 () (tptp.point @t33)) % 0.37/0.56 (define @t42 () (tptp.line @t23)) % 0.37/0.56 (define @t43 () (and @t42 @t41)) % 0.37/0.56 (define @t44 () (@list @t23 @t33)) % 0.37/0.56 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.37/0.56 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.37/0.56 (assume @p3 @t3) % 0.37/0.56 (assume @p4 (forall @t8 (=> @t7 (or @t6 (tptp.distinct_points @t5 @t4))))) % 0.37/0.56 (assume @p5 (forall @t8 (=> @t10 (or (tptp.distinct_lines @t1 @t4) @t9)))) % 0.37/0.56 (assume @p6 (forall @t8 (=> @t13 (or @t12 @t11)))) % 0.37/0.56 (assume @p7 (forall @t15 (=> @t7 (not (tptp.apart_point_and_line @t1 @t14))))) % 0.37/0.56 (assume @p8 (forall @t15 (=> @t7 (not (tptp.apart_point_and_line @t5 @t14))))) % 0.37/0.56 (assume @p9 (forall @t15 (=> @t13 (not (tptp.apart_point_and_line @t16 @t1))))) % 0.37/0.56 (assume @p10 (forall @t15 (=> @t13 (not (tptp.apart_point_and_line @t16 @t5))))) % 0.37/0.56 (assume @p11 (forall (@list @t1 @t5 @t18 @t17) (=> (and @t7 (tptp.distinct_lines @t18 @t17)) (or (tptp.apart_point_and_line @t1 @t18) (tptp.apart_point_and_line @t1 @t17) (tptp.apart_point_and_line @t5 @t18) (tptp.apart_point_and_line @t5 @t17))))) % 0.37/0.56 (assume @p12 (forall @t8 (=> @t19 (or @t6 (tptp.apart_point_and_line @t4 @t5))))) % 0.37/0.56 (assume @p13 (forall @t8 (=> @t19 (or @t9 @t20)))) % 0.37/0.56 (assume @p14 (forall @t8 (=> @t13 (or @t9 @t12)))) % 0.37/0.56 (assume @p15 (forall @t15 (=> @t10 @t13))) % 0.37/0.56 (assume @p16 (forall @t15 (not (tptp.convergent_lines @t21 @t5)))) % 0.37/0.56 (assume @p17 (forall @t15 (not (tptp.apart_point_and_line @t1 @t21)))) % 0.37/0.56 (assume @p18 (forall @t8 (=> @t9 (or @t19 @t20 @t11)))) % 0.37/0.56 (assume @p19 (forall @t26 (or @t25 @t24))) % 0.37/0.56 (assume @p20 (forall @t32 (=> (and @t25 @t24) (or (and @t31 @t30) (and @t29 @t28))))) % 0.37/0.56 (assume @p21 (forall @t35 (not (tptp.unorthogonal_lines @t34 @t23)))) % 0.37/0.56 (assume @p22 (forall @t35 (not (tptp.apart_point_and_line @t33 @t34)))) % 0.37/0.56 (assume @p23 (forall (@list @t33 @t23 @t22 @t27) (=> (tptp.distinct_lines @t23 @t22) (or (tptp.apart_point_and_line @t33 @t23) (tptp.apart_point_and_line @t33 @t22) @t30 @t28)))) % 0.37/0.56 (assume @p24 (forall @t26 (not (and @t37 @t36)))) % 0.37/0.56 (assume @p25 (forall @t32 (=> (and (or @t37 @t36) (or (not @t31) @t39)) (or @t38 (not @t28))))) % 0.37/0.56 (assume @p26 (forall @t32 (=> (and @t36 @t39) @t38))) % 0.37/0.56 (assume @p27 (forall (@list @t33 @t40) (=> (and @t41 (tptp.point @t40) (tptp.distinct_points @t33 @t40)) (tptp.line (tptp.line_connecting @t33 @t40))))) % 0.37/0.56 (assume @p28 (forall @t26 (=> (and @t42 (tptp.line @t22) @t25) (tptp.point (tptp.intersection_point @t23 @t22))))) % 0.37/0.56 (assume @p29 (forall @t44 (=> @t43 (tptp.line (tptp.parallel_through_point @t23 @t33))))) % 0.37/0.56 (assume @p30 (forall @t44 (=> @t43 (tptp.line @t34)))) % 0.37/0.56 (assume @p31 (forall @t15 (= (tptp.equal_points @t1 @t5) (not @t7)))) % 0.37/0.56 (assume @p32 (forall @t15 (= (tptp.equal_lines @t1 @t5) (not @t10)))) % 0.37/0.56 (assume @p33 (forall @t15 (= (tptp.parallel_lines @t1 @t5) (not @t13)))) % 0.37/0.56 (assume @p34 (forall @t15 (= (tptp.incident_point_and_line @t1 @t5) (not @t19)))) % 0.37/0.56 (assume @p35 (forall @t15 (= (tptp.orthogonal_lines @t1 @t5) (not (tptp.unorthogonal_lines @t1 @t5))))) % 0.37/0.56 (assume @p36 (not @t3)) % 0.37/0.56 (assume @p37 true) % 0.37/0.56 (step @p38 false :rule chain_m_resolution :premises (@p36 @p3) :args (false (@list false) (@list @t3))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------