%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO214+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 : n013.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 08:16:46 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 : GEO214+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n013.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Mon Jun 1 23:40:15 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.50 %----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 $$unsorted 0) % 0.38/0.56 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 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 $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.distinct_points (-> $$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 () (@var "Z" $$unsorted)) % 0.38/0.56 (define @t4 () (@var "Y" $$unsorted)) % 0.38/0.56 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.38/0.56 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.38/0.56 (define @t7 () (@list @t1 @t4 @t3)) % 0.38/0.56 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.38/0.56 (define @t9 () (tptp.convergent_lines @t4 @t3)) % 0.38/0.56 (define @t10 () (tptp.convergent_lines @t1 @t3)) % 0.38/0.56 (define @t11 () (or @t10 @t9)) % 0.38/0.56 (define @t12 () (tptp.convergent_lines @t1 @t4)) % 0.38/0.56 (define @t13 () (forall @t7 (=> @t12 @t11))) % 0.38/0.56 (define @t14 () (tptp.line_connecting @t1 @t4)) % 0.38/0.56 (define @t15 () (@list @t1 @t4)) % 0.38/0.56 (define @t16 () (tptp.intersection_point @t1 @t4)) % 0.38/0.56 (define @t17 () (@var "V" $$unsorted)) % 0.38/0.56 (define @t18 () (@var "U" $$unsorted)) % 0.38/0.56 (define @t19 () (tptp.apart_point_and_line @t1 @t4)) % 0.38/0.56 (define @t20 () (tptp.apart_point_and_line @t1 @t3)) % 0.38/0.56 (define @t21 () (tptp.parallel_through_point @t4 @t1)) % 0.38/0.56 (define @t22 () (@var "M" $$unsorted)) % 0.38/0.56 (define @t23 () (@var "L" $$unsorted)) % 0.38/0.56 (define @t24 () (tptp.unorthogonal_lines @t23 @t22)) % 0.38/0.56 (define @t25 () (tptp.convergent_lines @t23 @t22)) % 0.38/0.56 (define @t26 () (@list @t23 @t22)) % 0.38/0.56 (define @t27 () (@var "N" $$unsorted)) % 0.38/0.56 (define @t28 () (tptp.unorthogonal_lines @t22 @t27)) % 0.38/0.56 (define @t29 () (and (tptp.convergent_lines @t22 @t27) @t28)) % 0.38/0.56 (define @t30 () (tptp.unorthogonal_lines @t23 @t27)) % 0.38/0.56 (define @t31 () (and (tptp.convergent_lines @t23 @t27) @t30)) % 0.38/0.56 (define @t32 () (or @t31 @t29)) % 0.38/0.56 (define @t33 () (and @t25 @t24)) % 0.38/0.56 (define @t34 () (forall (@list @t23 @t22 @t27) (=> @t33 @t32))) % 0.38/0.56 (define @t35 () (@var "A" $$unsorted)) % 0.38/0.56 (define @t36 () (tptp.orthogonal_through_point @t23 @t35)) % 0.38/0.56 (define @t37 () (@list @t35 @t23)) % 0.38/0.56 (define @t38 () (tptp.unorthogonal_lines @t22 @t23)) % 0.38/0.56 (define @t39 () (forall @t26 (=> @t24 @t38))) % 0.38/0.56 (define @t40 () (not @t39)) % 0.38/0.56 (define @t41 () (not @t24)) % 0.38/0.56 (define @t42 () (forall @t26 (or @t41 @t38))) % 0.38/0.56 (define @t43 () (@quantifiers_skolemize @t42 1)) % 0.38/0.56 (define @t44 () (@quantifiers_skolemize @t42 0)) % 0.38/0.56 (define @t45 () (tptp.unorthogonal_lines @t44 @t43)) % 0.38/0.56 (define @t46 () (tptp.unorthogonal_lines @t43 @t44)) % 0.38/0.56 (define @t47 () (not @t45)) % 0.38/0.56 (define @t48 () (or @t47 @t46)) % 0.38/0.56 (define @t49 () (@list true)) % 0.38/0.56 (define @t50 () (@list @t48)) % 0.38/0.56 (define @t51 () (tptp.convergent_lines @t43 @t44)) % 0.38/0.56 (define @t52 () (and @t51 @t46)) % 0.38/0.56 (define @t53 () (not @t52)) % 0.38/0.56 (define @t54 () (not @t25)) % 0.38/0.56 (define @t55 () (tptp.convergent_lines @t44 @t44)) % 0.38/0.56 (define @t56 () (and @t55 (tptp.unorthogonal_lines @t44 @t44))) % 0.38/0.56 (define @t57 () (not @t56)) % 0.38/0.56 (define @t58 () (not @t12)) % 0.38/0.56 (define @t59 () (or @t51 @t46)) % 0.38/0.56 (define @t60 () (tptp.convergent_lines @t44 @t43)) % 0.38/0.56 (define @t61 () (tptp.convergent_lines @t43 @t43)) % 0.38/0.56 (define @t62 () (not @t51)) % 0.38/0.56 (define @t63 () (or @t62 @t61 @t60)) % 0.38/0.56 (define @t64 () (not @t60)) % 0.38/0.56 (define @t65 () (or @t64 @t47 @t56 @t52)) % 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 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.38/0.56 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.38/0.56 (assume @p5 (forall @t7 (=> (tptp.distinct_lines @t1 @t4) (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.38/0.56 (assume @p6 @t13) % 0.38/0.56 (assume @p7 (forall @t15 (=> @t6 (not (tptp.apart_point_and_line @t1 @t14))))) % 0.38/0.56 (assume @p8 (forall @t15 (=> @t6 (not (tptp.apart_point_and_line @t4 @t14))))) % 0.38/0.56 (assume @p9 (forall @t15 (=> @t12 (not (tptp.apart_point_and_line @t16 @t1))))) % 0.38/0.56 (assume @p10 (forall @t15 (=> @t12 (not (tptp.apart_point_and_line @t16 @t4))))) % 0.38/0.56 (assume @p11 (forall (@list @t1 @t4 @t18 @t17) (=> (and @t6 (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 @t4 @t18) (tptp.apart_point_and_line @t4 @t17))))) % 0.38/0.56 (assume @p12 (forall @t7 (=> @t19 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.38/0.56 (assume @p13 (forall @t7 (=> @t19 (or @t8 @t20)))) % 0.38/0.56 (assume @p14 (forall @t7 (=> @t12 (or @t8 @t10)))) % 0.38/0.56 (assume @p15 (forall @t15 (not (tptp.convergent_lines @t21 @t4)))) % 0.38/0.56 (assume @p16 (forall @t15 (not (tptp.apart_point_and_line @t1 @t21)))) % 0.38/0.56 (assume @p17 (forall @t7 (=> @t8 (or @t19 @t20 @t9)))) % 0.38/0.56 (assume @p18 (forall @t26 (or @t25 @t24))) % 0.38/0.56 (assume @p19 @t34) % 0.38/0.56 (assume @p20 (forall @t37 (not (tptp.unorthogonal_lines @t36 @t23)))) % 0.38/0.56 (assume @p21 (forall @t37 (not (tptp.apart_point_and_line @t35 @t36)))) % 0.38/0.56 (assume @p22 (forall (@list @t35 @t23 @t22 @t27) (=> (tptp.distinct_lines @t23 @t22) (or (tptp.apart_point_and_line @t35 @t23) (tptp.apart_point_and_line @t35 @t22) @t30 @t28)))) % 0.38/0.56 (assume @p23 @t40) % 0.38/0.56 (assume @p24 true) % 0.38/0.56 (step @p25 :rule bool-impl-elim :args (@t24 @t38)) % 0.38/0.56 (step @p26 :rule cong :premises (@p25) :args (@t39)) % 0.38/0.56 (step @p27 :rule cong :premises (@p26) :args (@t40)) % 0.38/0.56 (step @p28 :rule eq_resolve :premises (@p23 @p27)) % 0.38/0.56 (step @p29 :rule skolemize :premises (@p28)) % 0.38/0.56 (step @p30 :rule bool-double-not-elim :args (@t45)) % 0.38/0.56 (step @p31 :rule refl :args (@t48)) % 0.38/0.56 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or @t48 (not @t47)))) % 0.38/0.56 (step @p33 :rule cnf_or_neg :args (@t48 0)) % 0.38/0.56 (step @p34 :rule eq_resolve :premises (@p33 @p32)) % 0.38/0.56 (step @p35 :rule reordering :premises (@p34) :args ((or @t45 @t48))) % 0.38/0.56 (step @p36 :rule chain_m_resolution :premises (@p35 @p29) :args (@t45 @t49 @t50)) % 0.38/0.56 (step @p37 :rule cnf_or_neg :args (@t48 1)) % 0.38/0.56 (step @p38 :rule chain_m_resolution :premises (@p37 @p29) :args ((not @t46) @t49 @t50)) % 0.38/0.56 (step @p39 :rule cnf_and_pos :args (@t52 1)) % 0.38/0.56 (step @p40 :rule reordering :premises (@p39) :args ((or @t46 @t53))) % 0.38/0.56 (step @p41 :rule chain_m_resolution :premises (@p40 @p38) :args (@t53 @t49 (@list @t46))) % 0.38/0.56 (step @p42 :rule aci_norm :args ((= (or (or @t54 @t41) @t32) (or @t54 @t41 @t31 @t29)))) % 0.38/0.56 (step @p43 :rule refl :args (@t32)) % 0.38/0.56 (step @p44 :rule bool-and-de-morgan :args (@t25 @t24 true)) % 0.38/0.56 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or (not @t33) @t32))) % 0.38/0.56 (step @p46 :rule trans :premises (@p45 @p42)) % 0.38/0.56 (step @p47 :rule bool-impl-elim :args (@t33 @t32)) % 0.38/0.56 (step @p48 :rule trans :premises (@p47 @p46)) % 0.38/0.56 (step @p49 :rule cong :premises (@p48) :args (@t34)) % 0.38/0.56 (step @p50 :rule eq_resolve :premises (@p19 @p49)) % 0.38/0.56 (step @p51 :rule instantiate :premises (@p50) :args ((@list @t44 @t43 @t44))) % 0.38/0.56 (step @p52 :rule instantiate :premises (@p3) :args ((@list @t44))) % 0.38/0.56 (step @p53 :rule cnf_and_pos :args (@t56 0)) % 0.38/0.56 (step @p54 :rule reordering :premises (@p53) :args ((or @t55 @t57))) % 0.38/0.56 (step @p55 :rule chain_m_resolution :premises (@p54 @p52) :args (@t57 @t49 (@list @t55))) % 0.38/0.56 (step @p56 :rule aci_norm :args ((= (or @t58 @t11) (or @t58 @t10 @t9)))) % 0.38/0.56 (step @p57 :rule bool-impl-elim :args (@t12 @t11)) % 0.38/0.56 (step @p58 :rule trans :premises (@p57 @p56)) % 0.38/0.56 (step @p59 :rule cong :premises (@p58) :args (@t13)) % 0.38/0.56 (step @p60 :rule eq_resolve :premises (@p6 @p59)) % 0.38/0.56 (step @p61 :rule instantiate :premises (@p60) :args ((@list @t43 @t44 @t43))) % 0.38/0.56 (step @p62 :rule instantiate :premises (@p3) :args ((@list @t43))) % 0.38/0.56 (step @p63 :rule instantiate :premises (@p18) :args ((@list @t43 @t44))) % 0.38/0.56 (step @p64 :rule cnf_or_pos :args (@t59)) % 0.38/0.56 (step @p65 :rule reordering :premises (@p64) :args ((or @t46 @t51 (not @t59)))) % 0.38/0.56 (step @p66 :rule chain_m_resolution :premises (@p65 @p38 @p63) :args (@t51 (@list true false) (@list @t46 @t59))) % 0.38/0.56 (step @p67 :rule cnf_or_pos :args (@t63)) % 0.38/0.56 (step @p68 :rule reordering :premises (@p67) :args ((or @t62 @t61 @t60 (not @t63)))) % 0.38/0.56 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p62 @p61) :args (@t60 (@list false true false) (@list @t51 @t61 @t63))) % 0.38/0.56 (step @p70 :rule cnf_or_pos :args (@t65)) % 0.38/0.56 (step @p71 :rule reordering :premises (@p70) :args ((or @t47 @t52 @t64 @t56 (not @t65)))) % 0.38/0.56 (step @p72 false :rule chain_m_resolution :premises (@p71 @p69 @p55 @p51 @p41 @p36) :args (false (@list false true false true false) (@list @t60 @t56 @t65 @t52 @t45))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------