%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO170+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 : n016.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 0.30s 0.55s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO170+1 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n016.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 23:38:24 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.55 % SZS status Theorem % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort $$unsorted 0) % 0.30/0.55 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (define @t1 () (@var "X" $$unsorted)) % 0.30/0.55 (define @t2 () (@list @t1)) % 0.30/0.55 (define @t3 () (@var "Z" $$unsorted)) % 0.30/0.55 (define @t4 () (@var "Y" $$unsorted)) % 0.30/0.55 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.30/0.55 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.30/0.55 (define @t7 () (@list @t1 @t4 @t3)) % 0.30/0.55 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.30/0.55 (define @t9 () (tptp.convergent_lines @t1 @t3)) % 0.30/0.55 (define @t10 () (tptp.convergent_lines @t1 @t4)) % 0.30/0.55 (define @t11 () (tptp.line_connecting @t1 @t4)) % 0.30/0.55 (define @t12 () (not (tptp.apart_point_and_line @t1 @t11))) % 0.30/0.55 (define @t13 () (@list @t1 @t4)) % 0.30/0.55 (define @t14 () (forall @t13 (=> @t6 @t12))) % 0.30/0.55 (define @t15 () (not (tptp.apart_point_and_line @t4 @t11))) % 0.30/0.55 (define @t16 () (forall @t13 (=> @t6 @t15))) % 0.30/0.55 (define @t17 () (tptp.intersection_point @t1 @t4)) % 0.30/0.55 (define @t18 () (@var "V" $$unsorted)) % 0.30/0.55 (define @t19 () (tptp.apart_point_and_line @t4 @t18)) % 0.30/0.55 (define @t20 () (@var "U" $$unsorted)) % 0.30/0.55 (define @t21 () (tptp.apart_point_and_line @t4 @t20)) % 0.30/0.55 (define @t22 () (tptp.apart_point_and_line @t1 @t18)) % 0.30/0.55 (define @t23 () (tptp.apart_point_and_line @t1 @t20)) % 0.30/0.55 (define @t24 () (or @t23 @t22 @t21 @t19)) % 0.30/0.55 (define @t25 () (tptp.distinct_lines @t20 @t18)) % 0.30/0.55 (define @t26 () (and @t6 @t25)) % 0.30/0.55 (define @t27 () (forall (@list @t1 @t4 @t20 @t18) (=> @t26 @t24))) % 0.30/0.55 (define @t28 () (tptp.apart_point_and_line @t1 @t4)) % 0.30/0.55 (define @t29 () (tptp.apart_point_and_line @t1 @t3)) % 0.30/0.55 (define @t30 () (not (tptp.distinct_lines @t3 @t11))) % 0.30/0.55 (define @t31 () (tptp.apart_point_and_line @t4 @t3)) % 0.30/0.55 (define @t32 () (not @t31)) % 0.30/0.55 (define @t33 () (not @t29)) % 0.30/0.55 (define @t34 () (and @t6 @t33 @t32)) % 0.30/0.55 (define @t35 () (forall @t7 (=> @t34 @t30))) % 0.30/0.55 (define @t36 () (not @t35)) % 0.30/0.55 (define @t37 () (not @t6)) % 0.30/0.55 (define @t38 () (or @t37 @t29 @t31 @t30)) % 0.30/0.55 (define @t39 () (not @t32)) % 0.30/0.55 (define @t40 () (not @t33)) % 0.30/0.55 (define @t41 () (or @t37 @t40 @t39)) % 0.30/0.55 (define @t42 () (forall @t7 @t38)) % 0.30/0.55 (define @t43 () (@quantifiers_skolemize @t42 1)) % 0.30/0.55 (define @t44 () (@quantifiers_skolemize @t42 0)) % 0.30/0.55 (define @t45 () (tptp.distinct_points @t44 @t43)) % 0.30/0.55 (define @t46 () (tptp.line_connecting @t44 @t43)) % 0.30/0.55 (define @t47 () (@quantifiers_skolemize @t42 2)) % 0.30/0.55 (define @t48 () (tptp.distinct_lines @t47 @t46)) % 0.30/0.55 (define @t49 () (not @t48)) % 0.30/0.55 (define @t50 () (tptp.apart_point_and_line @t43 @t47)) % 0.30/0.55 (define @t51 () (tptp.apart_point_and_line @t44 @t47)) % 0.30/0.55 (define @t52 () (not @t45)) % 0.30/0.55 (define @t53 () (or @t52 @t51 @t50 @t49)) % 0.30/0.55 (define @t54 () (@list true)) % 0.30/0.55 (define @t55 () (@list @t53)) % 0.30/0.55 (define @t56 () (not @t25)) % 0.30/0.55 (define @t57 () (@list @t44 @t43)) % 0.30/0.55 (define @t58 () (tptp.apart_point_and_line @t44 @t46)) % 0.30/0.55 (define @t59 () (not @t58)) % 0.30/0.55 (define @t60 () (or @t52 @t59)) % 0.30/0.55 (define @t61 () (@list false false)) % 0.30/0.55 (define @t62 () (tptp.apart_point_and_line @t43 @t46)) % 0.30/0.55 (define @t63 () (not @t62)) % 0.30/0.55 (define @t64 () (or @t52 @t63)) % 0.30/0.55 (define @t65 () (or @t52 @t49 @t51 @t58 @t50 @t62)) % 0.30/0.55 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.30/0.55 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.30/0.55 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.30/0.55 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.30/0.55 (assume @p5 (forall @t7 (=> (tptp.distinct_lines @t1 @t4) (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.30/0.55 (assume @p6 (forall @t7 (=> @t10 (or @t9 (tptp.convergent_lines @t4 @t3))))) % 0.30/0.55 (assume @p7 @t14) % 0.30/0.55 (assume @p8 @t16) % 0.30/0.55 (assume @p9 (forall @t13 (=> @t10 (not (tptp.apart_point_and_line @t17 @t1))))) % 0.30/0.55 (assume @p10 (forall @t13 (=> @t10 (not (tptp.apart_point_and_line @t17 @t4))))) % 0.30/0.55 (assume @p11 @t27) % 0.30/0.55 (assume @p12 (forall @t7 (=> @t28 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.30/0.55 (assume @p13 (forall @t7 (=> @t28 (or @t8 @t29)))) % 0.30/0.55 (assume @p14 (forall @t7 (=> @t10 (or @t8 @t9)))) % 0.30/0.55 (assume @p15 @t36) % 0.30/0.55 (assume @p16 true) % 0.30/0.55 (step @p17 :rule aci_norm :args ((= (or (or @t37 @t29 @t31) @t30) @t38))) % 0.30/0.55 (step @p18 :rule refl :args (@t30)) % 0.30/0.55 (step @p19 :rule bool-double-not-elim :args (@t31)) % 0.30/0.55 (step @p20 :rule bool-double-not-elim :args (@t29)) % 0.30/0.55 (step @p21 :rule refl :args (@t37)) % 0.30/0.55 (step @p22 :rule nary_cong :premises (@p21 @p20 @p19) :args (@t41)) % 0.30/0.55 (step @p23 :rule aci_norm :args ((= (or @t37 (or @t40 @t39)) @t41))) % 0.30/0.55 (step @p24 :rule trans :premises (@p23 @p22)) % 0.30/0.55 (step @p25 :rule bool-and-de-morgan :args (@t33 @t32 true)) % 0.30/0.55 (step @p26 :rule nary_cong :premises (@p21 @p25) :args ((or @t37 (not (and @t33 @t32))))) % 0.30/0.55 (step @p27 :rule bool-and-de-morgan :args (@t6 @t33 (and @t32))) % 0.30/0.55 (step @p28 :rule trans :premises (@p27 @p26)) % 0.30/0.55 (step @p29 :rule trans :premises (@p28 @p24)) % 0.30/0.55 (step @p30 :rule nary_cong :premises (@p29 @p18) :args ((or (not @t34) @t30))) % 0.30/0.55 (step @p31 :rule trans :premises (@p30 @p17)) % 0.30/0.55 (step @p32 :rule bool-impl-elim :args (@t34 @t30)) % 0.30/0.55 (step @p33 :rule trans :premises (@p32 @p31)) % 0.30/0.55 (step @p34 :rule cong :premises (@p33) :args (@t35)) % 0.30/0.55 (step @p35 :rule cong :premises (@p34) :args (@t36)) % 0.30/0.55 (step @p36 :rule eq_resolve :premises (@p15 @p35)) % 0.30/0.55 (step @p37 :rule skolemize :premises (@p36)) % 0.30/0.55 (step @p38 :rule bool-double-not-elim :args (@t45)) % 0.30/0.55 (step @p39 :rule refl :args (@t53)) % 0.30/0.55 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or @t53 (not @t52)))) % 0.30/0.55 (step @p41 :rule cnf_or_neg :args (@t53 0)) % 0.30/0.55 (step @p42 :rule eq_resolve :premises (@p41 @p40)) % 0.30/0.55 (step @p43 :rule reordering :premises (@p42) :args ((or @t45 @t53))) % 0.30/0.55 (step @p44 :rule chain_m_resolution :premises (@p43 @p37) :args (@t45 @t54 @t55)) % 0.30/0.55 (step @p45 :rule cnf_or_neg :args (@t53 1)) % 0.30/0.55 (step @p46 :rule chain_m_resolution :premises (@p45 @p37) :args ((not @t51) @t54 @t55)) % 0.30/0.55 (step @p47 :rule cnf_or_neg :args (@t53 2)) % 0.30/0.55 (step @p48 :rule chain_m_resolution :premises (@p47 @p37) :args ((not @t50) @t54 @t55)) % 0.30/0.55 (step @p49 :rule bool-double-not-elim :args (@t48)) % 0.30/0.55 (step @p50 :rule nary_cong :premises (@p39 @p49) :args ((or @t53 (not @t49)))) % 0.30/0.55 (step @p51 :rule cnf_or_neg :args (@t53 3)) % 0.30/0.55 (step @p52 :rule eq_resolve :premises (@p51 @p50)) % 0.30/0.55 (step @p53 :rule reordering :premises (@p52) :args ((or @t48 @t53))) % 0.30/0.55 (step @p54 :rule chain_m_resolution :premises (@p53 @p37) :args (@t48 @t54 @t55)) % 0.30/0.55 (step @p55 :rule aci_norm :args ((= (or (or @t37 @t56) @t24) (or @t37 @t56 @t23 @t22 @t21 @t19)))) % 0.30/0.55 (step @p56 :rule refl :args (@t24)) % 0.30/0.55 (step @p57 :rule bool-and-de-morgan :args (@t6 @t25 true)) % 0.30/0.55 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or (not @t26) @t24))) % 0.30/0.55 (step @p59 :rule trans :premises (@p58 @p55)) % 0.30/0.55 (step @p60 :rule bool-impl-elim :args (@t26 @t24)) % 0.30/0.55 (step @p61 :rule trans :premises (@p60 @p59)) % 0.30/0.55 (step @p62 :rule cong :premises (@p61) :args (@t27)) % 0.30/0.55 (step @p63 :rule eq_resolve :premises (@p11 @p62)) % 0.30/0.55 (step @p64 :rule instantiate :premises (@p63) :args ((@list @t44 @t43 @t47 @t46))) % 0.30/0.55 (step @p65 :rule bool-impl-elim :args (@t6 @t12)) % 0.30/0.55 (step @p66 :rule cong :premises (@p65) :args (@t14)) % 0.30/0.55 (step @p67 :rule eq_resolve :premises (@p7 @p66)) % 0.30/0.55 (step @p68 :rule instantiate :premises (@p67) :args (@t57)) % 0.30/0.55 (step @p69 :rule cnf_or_pos :args (@t60)) % 0.30/0.55 (step @p70 :rule reordering :premises (@p69) :args ((or @t52 @t59 (not @t60)))) % 0.30/0.55 (step @p71 :rule chain_m_resolution :premises (@p70 @p44 @p68) :args (@t59 @t61 (@list @t45 @t60))) % 0.30/0.55 (step @p72 :rule bool-impl-elim :args (@t6 @t15)) % 0.30/0.55 (step @p73 :rule cong :premises (@p72) :args (@t16)) % 0.30/0.55 (step @p74 :rule eq_resolve :premises (@p8 @p73)) % 0.30/0.55 (step @p75 :rule instantiate :premises (@p74) :args (@t57)) % 0.30/0.55 (step @p76 :rule cnf_or_pos :args (@t64)) % 0.30/0.55 (step @p77 :rule reordering :premises (@p76) :args ((or @t52 @t63 (not @t64)))) % 0.30/0.55 (step @p78 :rule chain_m_resolution :premises (@p77 @p44 @p75) :args (@t63 @t61 (@list @t45 @t64))) % 0.30/0.55 (step @p79 :rule cnf_or_pos :args (@t65)) % 0.30/0.55 (step @p80 :rule reordering :premises (@p79) :args ((or @t52 @t51 @t50 @t49 @t58 @t62 (not @t65)))) % 0.30/0.55 (step @p81 false :rule chain_m_resolution :premises (@p80 @p78 @p71 @p64 @p54 @p48 @p46 @p44) :args (false (@list true true false false true true false) (@list @t62 @t58 @t65 @t48 @t50 @t51 @t45))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------