%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO171+1 : 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 : n024.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 08:16:31 AM UTC 2026 % Result : Theorem 0.17s 0.35s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GEO171+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.06/0.24 % Computer : n024.cluster.edu % 0.06/0.24 % Model : x86_64 x86_64 % 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.24 % Memory : 8042.1875MB % 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.24 % CPULimit : 300 % 0.06/0.24 % WCLimit : 300 % 0.06/0.24 % DateTime : Mon Jun 1 18:37:45 EDT 2026 % 0.06/0.24 % CPUTime : % 0.06/0.32 %----Proving TF0_NAR, FOF, or CNF % 0.17/0.35 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.17/0.35 % SZS status Theorem % 0.17/0.35 % SZS output start Proof % 0.17/0.35 ( % 0.17/0.35 (declare-sort $$unsorted 0) % 0.17/0.35 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.17/0.35 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.17/0.35 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.17/0.35 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.17/0.35 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.17/0.35 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.17/0.35 (define @t1 () (@var "X" $$unsorted)) % 0.17/0.35 (define @t2 () (@list @t1)) % 0.17/0.35 (define @t3 () (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.17/0.35 (define @t4 () (@var "Z" $$unsorted)) % 0.17/0.35 (define @t5 () (@var "Y" $$unsorted)) % 0.17/0.35 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.17/0.35 (define @t7 () (tptp.distinct_points @t1 @t5)) % 0.17/0.35 (define @t8 () (@list @t1 @t5 @t4)) % 0.17/0.35 (define @t9 () (tptp.distinct_lines @t5 @t4)) % 0.17/0.35 (define @t10 () (tptp.distinct_lines @t1 @t4)) % 0.17/0.35 (define @t11 () (or @t10 @t9)) % 0.17/0.35 (define @t12 () (tptp.distinct_lines @t1 @t5)) % 0.17/0.35 (define @t13 () (forall @t8 (=> @t12 @t11))) % 0.17/0.35 (define @t14 () (tptp.convergent_lines @t1 @t4)) % 0.17/0.35 (define @t15 () (tptp.convergent_lines @t1 @t5)) % 0.17/0.35 (define @t16 () (tptp.line_connecting @t1 @t5)) % 0.17/0.35 (define @t17 () (@list @t1 @t5)) % 0.17/0.35 (define @t18 () (tptp.intersection_point @t1 @t5)) % 0.17/0.35 (define @t19 () (@var "V" $$unsorted)) % 0.17/0.35 (define @t20 () (@var "U" $$unsorted)) % 0.17/0.35 (define @t21 () (tptp.apart_point_and_line @t1 @t5)) % 0.17/0.35 (define @t22 () (or @t9 @t14)) % 0.17/0.35 (define @t23 () (forall @t8 (=> @t15 @t22))) % 0.17/0.35 (define @t24 () (forall @t17 (=> @t15 @t12))) % 0.17/0.35 (define @t25 () (not @t24)) % 0.17/0.35 (define @t26 () (not @t12)) % 0.17/0.35 (define @t27 () (not @t15)) % 0.17/0.35 (define @t28 () (forall @t17 (or @t27 @t12))) % 0.17/0.35 (define @t29 () (@quantifiers_skolemize @t28 1)) % 0.17/0.35 (define @t30 () (@quantifiers_skolemize @t28 0)) % 0.17/0.35 (define @t31 () (tptp.convergent_lines @t30 @t29)) % 0.17/0.35 (define @t32 () (tptp.distinct_lines @t30 @t29)) % 0.17/0.35 (define @t33 () (not @t31)) % 0.17/0.35 (define @t34 () (or @t33 @t32)) % 0.17/0.35 (define @t35 () (@list true)) % 0.17/0.35 (define @t36 () (@list @t34)) % 0.17/0.35 (define @t37 () (tptp.convergent_lines @t30 @t30)) % 0.17/0.35 (define @t38 () (tptp.distinct_lines @t29 @t30)) % 0.17/0.35 (define @t39 () (or @t33 @t38 @t37)) % 0.17/0.35 (define @t40 () (tptp.distinct_lines @t29 @t29)) % 0.17/0.35 (define @t41 () (not @t38)) % 0.17/0.35 (define @t42 () (or @t41 @t40 @t32)) % 0.17/0.35 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.17/0.35 (assume @p2 @t3) % 0.17/0.35 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.17/0.35 (assume @p4 (forall @t8 (=> @t7 (or @t6 (tptp.distinct_points @t5 @t4))))) % 0.17/0.35 (assume @p5 @t13) % 0.17/0.35 (assume @p6 (forall @t8 (=> @t15 (or @t14 (tptp.convergent_lines @t5 @t4))))) % 0.17/0.35 (assume @p7 (forall @t17 (=> @t7 (not (tptp.apart_point_and_line @t1 @t16))))) % 0.17/0.35 (assume @p8 (forall @t17 (=> @t7 (not (tptp.apart_point_and_line @t5 @t16))))) % 0.17/0.35 (assume @p9 (forall @t17 (=> @t15 (not (tptp.apart_point_and_line @t18 @t1))))) % 0.17/0.35 (assume @p10 (forall @t17 (=> @t15 (not (tptp.apart_point_and_line @t18 @t5))))) % 0.17/0.35 (assume @p11 (forall (@list @t1 @t5 @t20 @t19) (=> (and @t7 (tptp.distinct_lines @t20 @t19)) (or (tptp.apart_point_and_line @t1 @t20) (tptp.apart_point_and_line @t1 @t19) (tptp.apart_point_and_line @t5 @t20) (tptp.apart_point_and_line @t5 @t19))))) % 0.17/0.35 (assume @p12 (forall @t8 (=> @t21 (or @t6 (tptp.apart_point_and_line @t4 @t5))))) % 0.17/0.35 (assume @p13 (forall @t8 (=> @t21 (or @t9 (tptp.apart_point_and_line @t1 @t4))))) % 0.17/0.35 (assume @p14 @t23) % 0.17/0.35 (assume @p15 @t25) % 0.17/0.35 (assume @p16 true) % 0.17/0.35 (step @p17 :rule aci_norm :args ((= (or @t26 @t11) (or @t26 @t10 @t9)))) % 0.17/0.35 (step @p18 :rule bool-impl-elim :args (@t12 @t11)) % 0.17/0.35 (step @p19 :rule trans :premises (@p18 @p17)) % 0.17/0.35 (step @p20 :rule cong :premises (@p19) :args (@t13)) % 0.17/0.35 (step @p21 :rule eq_resolve :premises (@p5 @p20)) % 0.17/0.35 (step @p22 :rule instantiate :premises (@p21) :args ((@list @t29 @t30 @t29))) % 0.17/0.35 (step @p23 :rule aci_norm :args ((= (or @t27 @t22) (or @t27 @t9 @t14)))) % 0.17/0.35 (step @p24 :rule bool-impl-elim :args (@t15 @t22)) % 0.17/0.35 (step @p25 :rule trans :premises (@p24 @p23)) % 0.17/0.35 (step @p26 :rule cong :premises (@p25) :args (@t23)) % 0.17/0.35 (step @p27 :rule eq_resolve :premises (@p14 @p26)) % 0.17/0.35 (step @p28 :rule instantiate :premises (@p27) :args ((@list @t30 @t29 @t30))) % 0.17/0.36 (step @p29 :rule instantiate :premises (@p3) :args ((@list @t30))) % 0.17/0.36 (step @p30 :rule bool-impl-elim :args (@t15 @t12)) % 0.17/0.36 (step @p31 :rule cong :premises (@p30) :args (@t24)) % 0.17/0.36 (step @p32 :rule cong :premises (@p31) :args (@t25)) % 0.17/0.36 (step @p33 :rule eq_resolve :premises (@p15 @p32)) % 0.17/0.36 (step @p34 :rule skolemize :premises (@p33)) % 0.17/0.36 (step @p35 :rule bool-double-not-elim :args (@t31)) % 0.17/0.36 (step @p36 :rule refl :args (@t34)) % 0.17/0.36 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or @t34 (not @t33)))) % 0.17/0.36 (step @p38 :rule cnf_or_neg :args (@t34 0)) % 0.17/0.36 (step @p39 :rule eq_resolve :premises (@p38 @p37)) % 0.17/0.36 (step @p40 :rule reordering :premises (@p39) :args ((or @t31 @t34))) % 0.17/0.36 (step @p41 :rule chain_m_resolution :premises (@p40 @p34) :args (@t31 @t35 @t36)) % 0.17/0.36 (step @p42 :rule cnf_or_pos :args (@t39)) % 0.17/0.36 (step @p43 :rule reordering :premises (@p42) :args ((or @t33 @t37 @t38 (not @t39)))) % 0.17/0.36 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p29 @p28) :args (@t38 (@list false true false) (@list @t31 @t37 @t39))) % 0.17/0.36 (step @p45 :rule cnf_or_neg :args (@t34 1)) % 0.17/0.36 (step @p46 :rule chain_m_resolution :premises (@p45 @p34) :args ((not @t32) @t35 @t36)) % 0.17/0.36 (step @p47 :rule cnf_or_pos :args (@t42)) % 0.17/0.36 (step @p48 :rule reordering :premises (@p47) :args ((or @t32 @t41 @t40 (not @t42)))) % 0.17/0.36 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p44 @p22) :args (@t40 (@list true false false) (@list @t32 @t38 @t42))) % 0.17/0.36 (assume-push @p56 @t3) % 0.17/0.36 (step @p51 :rule instantiate :premises (@p2) :args ((@list @t29))) % 0.17/0.36 (step-pop @p57 :rule scope :premises (@p51)) % 0.17/0.36 (step @p52 :rule process_scope :premises (@p57) :args ((not @t40))) % 0.17/0.36 (step @p54 :rule implies_elim :premises (@p52)) % 0.17/0.36 (step @p55 false :rule chain_m_resolution :premises (@p54 @p49 @p2) :args (false (@list false false) (@list @t40 @t3))) % 0.17/0.36 ) % 0.17/0.36 % SZS output end Proof % 0.17/0.36 % cvc5 exiting %------------------------------------------------------------------------------