%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO217+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 : n002.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 : GEO217+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 % 0.16/0.34 % Computer : n002.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 23:40:48 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----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 @t4 @t3)) % 0.38/0.58 (define @t11 () (tptp.convergent_lines @t1 @t3)) % 0.38/0.58 (define @t12 () (or @t11 @t10)) % 0.38/0.58 (define @t13 () (tptp.convergent_lines @t1 @t4)) % 0.38/0.58 (define @t14 () (forall @t7 (=> @t13 @t12))) % 0.38/0.58 (define @t15 () (tptp.apart_point_and_line @t3 @t4)) % 0.38/0.58 (define @t16 () (@var "V" $$unsorted)) % 0.38/0.58 (define @t17 () (@var "U" $$unsorted)) % 0.38/0.58 (define @t18 () (tptp.apart_point_and_line @t1 @t4)) % 0.38/0.58 (define @t19 () (@var "M" $$unsorted)) % 0.38/0.58 (define @t20 () (@var "L" $$unsorted)) % 0.38/0.58 (define @t21 () (not (tptp.unorthogonal_lines @t20 @t19))) % 0.38/0.58 (define @t22 () (tptp.convergent_lines @t20 @t19)) % 0.38/0.58 (define @t23 () (not @t22)) % 0.38/0.58 (define @t24 () (@var "N" $$unsorted)) % 0.38/0.58 (define @t25 () (not (tptp.convergent_lines @t19 @t24))) % 0.38/0.58 (define @t26 () (not (tptp.unorthogonal_lines @t20 @t24))) % 0.38/0.58 (define @t27 () (tptp.convergent_lines @t20 @t24)) % 0.38/0.58 (define @t28 () (not @t27)) % 0.38/0.58 (define @t29 () (@list @t20 @t19 @t24)) % 0.38/0.58 (define @t30 () (and @t23 @t28)) % 0.38/0.58 (define @t31 () (forall @t29 (=> @t30 @t25))) % 0.38/0.58 (define @t32 () (not @t31)) % 0.38/0.58 (define @t33 () (not @t13)) % 0.38/0.58 (define @t34 () (or @t33 @t11 @t10)) % 0.38/0.58 (define @t35 () (or @t22 @t27 @t25)) % 0.38/0.58 (define @t36 () (forall @t29 @t35)) % 0.38/0.58 (define @t37 () (@quantifiers_skolemize @t36 0)) % 0.38/0.58 (define @t38 () (@quantifiers_skolemize @t36 2)) % 0.38/0.58 (define @t39 () (@quantifiers_skolemize @t36 1)) % 0.38/0.58 (define @t40 () (tptp.convergent_lines @t39 @t38)) % 0.38/0.58 (define @t41 () (not @t40)) % 0.38/0.58 (define @t42 () (tptp.convergent_lines @t37 @t38)) % 0.38/0.58 (define @t43 () (tptp.convergent_lines @t37 @t39)) % 0.38/0.58 (define @t44 () (or @t43 @t42 @t41)) % 0.38/0.58 (define @t45 () (@list true)) % 0.38/0.58 (define @t46 () (@list @t44)) % 0.38/0.58 (define @t47 () (tptp.convergent_lines @t39 @t39)) % 0.38/0.58 (define @t48 () (tptp.convergent_lines @t39 @t37)) % 0.38/0.58 (define @t49 () (not @t48)) % 0.38/0.58 (define @t50 () (or @t49 @t47 @t43)) % 0.38/0.58 (define @t51 () (@list true true false)) % 0.38/0.58 (define @t52 () (tptp.convergent_lines @t38 @t37)) % 0.38/0.58 (define @t53 () (or @t41 @t48 @t52)) % 0.38/0.58 (define @t54 () (tptp.convergent_lines @t38 @t38)) % 0.38/0.58 (define @t55 () (not @t52)) % 0.38/0.58 (define @t56 () (or @t55 @t54 @t42)) % 0.38/0.58 (define @t57 () (not @t56)) % 0.38/0.58 (define @t58 () (forall @t7 @t34)) % 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 @t14) % 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 (=> @t13 (=> (or (tptp.apart_point_and_line @t3 @t1) @t15) (tptp.distinct_points @t3 (tptp.intersection_point @t1 @t4)))))) % 0.38/0.58 (assume @p9 (forall (@list @t1 @t4 @t17 @t16) (=> (and @t6 (tptp.distinct_lines @t17 @t16)) (or (tptp.apart_point_and_line @t1 @t17) (tptp.apart_point_and_line @t1 @t16) (tptp.apart_point_and_line @t4 @t17) (tptp.apart_point_and_line @t4 @t16))))) % 0.38/0.58 (assume @p10 (forall @t7 (=> @t18 (or @t5 @t15)))) % 0.38/0.58 (assume @p11 (forall @t7 (=> @t18 (or @t8 (tptp.apart_point_and_line @t1 @t3))))) % 0.38/0.58 (assume @p12 (forall (@list @t1 @t4) (=> @t13 @t9))) % 0.38/0.58 (assume @p13 (forall (@list @t20 @t19) (not (and @t23 @t21)))) % 0.38/0.58 (assume @p14 (forall @t29 (=> (and (or @t23 @t21) (or @t28 @t26)) (or @t25 (not (tptp.unorthogonal_lines @t19 @t24)))))) % 0.38/0.58 (assume @p15 (forall @t29 (=> (and @t21 @t26) @t25))) % 0.38/0.58 (assume @p16 @t32) % 0.38/0.58 (assume @p17 true) % 0.38/0.58 (step @p18 :rule aci_norm :args ((= (or @t33 @t12) @t34))) % 0.38/0.58 (step @p19 :rule bool-impl-elim :args (@t13 @t12)) % 0.38/0.58 (step @p20 :rule trans :premises (@p19 @p18)) % 0.38/0.58 (step @p21 :rule cong :premises (@p20) :args (@t14)) % 0.38/0.58 (step @p22 :rule eq_resolve :premises (@p6 @p21)) % 0.38/0.58 (step @p23 :rule instantiate :premises (@p22) :args ((@list @t39 @t38 @t37))) % 0.38/0.58 (step @p24 :rule instantiate :premises (@p22) :args ((@list @t39 @t37 @t39))) % 0.38/0.58 (step @p25 :rule instantiate :premises (@p3) :args ((@list @t39))) % 0.38/0.58 (step @p26 :rule aci_norm :args ((= (or (or @t22 @t27) @t25) @t35))) % 0.38/0.58 (step @p27 :rule refl :args (@t25)) % 0.38/0.58 (step @p28 :rule bool-double-not-elim :args (@t27)) % 0.38/0.58 (step @p29 :rule bool-double-not-elim :args (@t22)) % 0.38/0.58 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or (not @t23) (not @t28)))) % 0.38/0.58 (step @p31 :rule bool-and-de-morgan :args (@t23 @t28 true)) % 0.38/0.58 (step @p32 :rule trans :premises (@p31 @p30)) % 0.38/0.58 (step @p33 :rule nary_cong :premises (@p32 @p27) :args ((or (not @t30) @t25))) % 0.38/0.58 (step @p34 :rule trans :premises (@p33 @p26)) % 0.38/0.58 (step @p35 :rule bool-impl-elim :args (@t30 @t25)) % 0.38/0.58 (step @p36 :rule trans :premises (@p35 @p34)) % 0.38/0.58 (step @p37 :rule cong :premises (@p36) :args (@t31)) % 0.38/0.58 (step @p38 :rule cong :premises (@p37) :args (@t32)) % 0.38/0.58 (step @p39 :rule eq_resolve :premises (@p16 @p38)) % 0.38/0.58 (step @p40 :rule skolemize :premises (@p39)) % 0.38/0.58 (step @p41 :rule cnf_or_neg :args (@t44 0)) % 0.38/0.58 (step @p42 :rule chain_m_resolution :premises (@p41 @p40) :args ((not @t43) @t45 @t46)) % 0.38/0.58 (step @p43 :rule cnf_or_pos :args (@t50)) % 0.38/0.58 (step @p44 :rule reordering :premises (@p43) :args ((or @t43 @t47 @t49 (not @t50)))) % 0.38/0.58 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p25 @p24) :args (@t49 @t51 (@list @t43 @t47 @t50))) % 0.38/0.58 (step @p46 :rule bool-double-not-elim :args (@t40)) % 0.38/0.58 (step @p47 :rule refl :args (@t44)) % 0.38/0.58 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or @t44 (not @t41)))) % 0.38/0.58 (step @p49 :rule cnf_or_neg :args (@t44 2)) % 0.38/0.58 (step @p50 :rule eq_resolve :premises (@p49 @p48)) % 0.38/0.58 (step @p51 :rule reordering :premises (@p50) :args ((or @t40 @t44))) % 0.38/0.58 (step @p52 :rule chain_m_resolution :premises (@p51 @p40) :args (@t40 @t45 @t46)) % 0.38/0.58 (step @p53 :rule cnf_or_pos :args (@t53)) % 0.38/0.58 (step @p54 :rule reordering :premises (@p53) :args ((or @t41 @t48 @t52 (not @t53)))) % 0.38/0.58 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p45 @p23) :args (@t52 (@list false true false) (@list @t40 @t48 @t53))) % 0.38/0.58 (step @p56 :rule instantiate :premises (@p3) :args ((@list @t38))) % 0.38/0.58 (step @p57 :rule cnf_or_neg :args (@t44 1)) % 0.38/0.58 (step @p58 :rule chain_m_resolution :premises (@p57 @p40) :args ((not @t42) @t45 @t46)) % 0.38/0.58 (step @p59 :rule cnf_or_pos :args (@t56)) % 0.38/0.58 (step @p60 :rule reordering :premises (@p59) :args ((or @t42 @t54 @t55 @t57))) % 0.38/0.58 (step @p61 :rule chain_m_resolution :premises (@p60 @p58 @p56 @p55) :args (@t57 @t51 (@list @t42 @t54 @t52))) % 0.38/0.58 (assume-push @p68 @t58) % 0.38/0.58 (step @p63 :rule instantiate :premises (@p22) :args ((@list @t38 @t37 @t38))) % 0.38/0.58 (step-pop @p69 :rule scope :premises (@p63)) % 0.38/0.58 (step @p64 :rule process_scope :premises (@p69) :args (@t56)) % 0.38/0.58 (step @p66 :rule implies_elim :premises (@p64)) % 0.38/0.58 (step @p67 false :rule chain_m_resolution :premises (@p66 @p61 @p22) :args (false (@list true false) (@list @t56 @t58))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------