%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO219+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 : n005.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 08:16:48 AM UTC 2026 % Result : Theorem 0.32s 0.58s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : GEO219+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n005.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Mon Jun 1 23:40:33 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.32/0.58 % SZS status Theorem % 0.32/0.58 % SZS output start Proof % 0.32/0.58 ( % 0.32/0.58 (declare-sort $$unsorted 0) % 0.32/0.58 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.58 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.58 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.32/0.58 (define @t1 () (@var "X" $$unsorted)) % 0.32/0.58 (define @t2 () (@list @t1)) % 0.32/0.58 (define @t3 () (@var "Z" $$unsorted)) % 0.32/0.58 (define @t4 () (@var "Y" $$unsorted)) % 0.32/0.58 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.32/0.58 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.32/0.58 (define @t7 () (@list @t1 @t4 @t3)) % 0.32/0.58 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.32/0.58 (define @t9 () (tptp.distinct_lines @t1 @t4)) % 0.32/0.58 (define @t10 () (tptp.convergent_lines @t4 @t3)) % 0.32/0.58 (define @t11 () (tptp.convergent_lines @t1 @t3)) % 0.32/0.58 (define @t12 () (or @t11 @t10)) % 0.32/0.58 (define @t13 () (tptp.convergent_lines @t1 @t4)) % 0.32/0.58 (define @t14 () (forall @t7 (=> @t13 @t12))) % 0.32/0.58 (define @t15 () (tptp.apart_point_and_line @t3 @t4)) % 0.32/0.58 (define @t16 () (@var "V" $$unsorted)) % 0.32/0.58 (define @t17 () (@var "U" $$unsorted)) % 0.32/0.58 (define @t18 () (tptp.apart_point_and_line @t1 @t4)) % 0.32/0.58 (define @t19 () (@var "M" $$unsorted)) % 0.32/0.58 (define @t20 () (@var "L" $$unsorted)) % 0.32/0.58 (define @t21 () (tptp.unorthogonal_lines @t20 @t19)) % 0.32/0.58 (define @t22 () (not @t21)) % 0.32/0.58 (define @t23 () (tptp.convergent_lines @t20 @t19)) % 0.32/0.58 (define @t24 () (not @t23)) % 0.32/0.58 (define @t25 () (forall (@list @t20 @t19) (not (and @t24 @t22)))) % 0.32/0.58 (define @t26 () (@var "N" $$unsorted)) % 0.32/0.58 (define @t27 () (not (tptp.unorthogonal_lines @t19 @t26))) % 0.32/0.58 (define @t28 () (not (tptp.convergent_lines @t19 @t26))) % 0.32/0.58 (define @t29 () (or @t28 @t27)) % 0.32/0.58 (define @t30 () (tptp.unorthogonal_lines @t20 @t26)) % 0.32/0.58 (define @t31 () (not @t30)) % 0.32/0.58 (define @t32 () (tptp.convergent_lines @t20 @t26)) % 0.32/0.58 (define @t33 () (not @t32)) % 0.32/0.58 (define @t34 () (or @t33 @t31)) % 0.32/0.58 (define @t35 () (or @t24 @t22)) % 0.32/0.58 (define @t36 () (and @t35 @t34)) % 0.32/0.58 (define @t37 () (@list @t20 @t19 @t26)) % 0.32/0.58 (define @t38 () (forall @t37 (=> @t36 @t29))) % 0.32/0.58 (define @t39 () (and @t22 @t33)) % 0.32/0.58 (define @t40 () (forall @t37 (=> @t39 @t27))) % 0.32/0.58 (define @t41 () (not @t40)) % 0.32/0.58 (define @t42 () (or @t21 @t32 @t27)) % 0.32/0.58 (define @t43 () (not @t33)) % 0.32/0.58 (define @t44 () (not @t22)) % 0.32/0.58 (define @t45 () (forall @t37 @t42)) % 0.32/0.58 (define @t46 () (@quantifiers_skolemize @t45 2)) % 0.32/0.58 (define @t47 () (@quantifiers_skolemize @t45 1)) % 0.32/0.58 (define @t48 () (tptp.unorthogonal_lines @t47 @t46)) % 0.32/0.58 (define @t49 () (not @t48)) % 0.32/0.58 (define @t50 () (@quantifiers_skolemize @t45 0)) % 0.32/0.58 (define @t51 () (tptp.convergent_lines @t50 @t46)) % 0.32/0.58 (define @t52 () (tptp.unorthogonal_lines @t50 @t47)) % 0.32/0.58 (define @t53 () (or @t52 @t51 @t49)) % 0.32/0.58 (define @t54 () (@list true)) % 0.32/0.58 (define @t55 () (@list @t53)) % 0.32/0.58 (define @t56 () (and @t51 (tptp.unorthogonal_lines @t50 @t46))) % 0.32/0.58 (define @t57 () (not @t56)) % 0.32/0.58 (define @t58 () (and @t32 @t30)) % 0.32/0.58 (define @t59 () (and @t23 @t21)) % 0.32/0.58 (define @t60 () (not @t24)) % 0.32/0.58 (define @t61 () (@list @t50 @t47 @t46)) % 0.32/0.58 (define @t62 () (tptp.convergent_lines @t50 @t47)) % 0.32/0.58 (define @t63 () (and @t62 @t52)) % 0.32/0.58 (define @t64 () (not @t63)) % 0.32/0.58 (define @t65 () (not @t13)) % 0.32/0.58 (define @t66 () (or @t62 @t52)) % 0.32/0.58 (define @t67 () (tptp.convergent_lines @t47 @t46)) % 0.32/0.58 (define @t68 () (not @t62)) % 0.32/0.58 (define @t69 () (or @t68 @t51 @t67)) % 0.32/0.58 (define @t70 () (not @t67)) % 0.32/0.58 (define @t71 () (or @t63 @t56 @t70 @t49)) % 0.32/0.58 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.32/0.58 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.32/0.58 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.32/0.58 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.32/0.58 (assume @p5 (forall @t7 (=> @t9 (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.32/0.58 (assume @p6 @t14) % 0.32/0.58 (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)))))) % 0.32/0.58 (assume @p8 (forall @t7 (=> @t13 (=> (or (tptp.apart_point_and_line @t3 @t1) @t15) (tptp.distinct_points @t3 (tptp.intersection_point @t1 @t4)))))) % 0.32/0.58 (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))))) % 0.32/0.58 (assume @p10 (forall @t7 (=> @t18 (or @t5 @t15)))) % 0.32/0.58 (assume @p11 (forall @t7 (=> @t18 (or @t8 (tptp.apart_point_and_line @t1 @t3))))) % 0.32/0.58 (assume @p12 (forall (@list @t1 @t4) (=> @t13 @t9))) % 0.32/0.58 (assume @p13 @t25) % 0.32/0.58 (assume @p14 @t38) % 0.32/0.58 (assume @p15 (forall @t37 (=> (and @t22 @t31) @t28))) % 0.32/0.58 (assume @p16 @t41) % 0.32/0.58 (assume @p17 true) % 0.32/0.58 (step @p18 :rule aci_norm :args ((= (or (or @t21 @t32) @t27) @t42))) % 0.32/0.58 (step @p19 :rule refl :args (@t27)) % 0.32/0.58 (step @p20 :rule bool-double-not-elim :args (@t32)) % 0.32/0.58 (step @p21 :rule bool-double-not-elim :args (@t21)) % 0.32/0.58 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or @t44 @t43))) % 0.32/0.58 (step @p23 :rule bool-and-de-morgan :args (@t22 @t33 true)) % 0.32/0.58 (step @p24 :rule trans :premises (@p23 @p22)) % 0.32/0.58 (step @p25 :rule nary_cong :premises (@p24 @p19) :args ((or (not @t39) @t27))) % 0.32/0.58 (step @p26 :rule trans :premises (@p25 @p18)) % 0.32/0.58 (step @p27 :rule bool-impl-elim :args (@t39 @t27)) % 0.32/0.58 (step @p28 :rule trans :premises (@p27 @p26)) % 0.32/0.58 (step @p29 :rule cong :premises (@p28) :args (@t40)) % 0.32/0.58 (step @p30 :rule cong :premises (@p29) :args (@t41)) % 0.32/0.58 (step @p31 :rule eq_resolve :premises (@p16 @p30)) % 0.32/0.58 (step @p32 :rule skolemize :premises (@p31)) % 0.32/0.58 (step @p33 :rule bool-double-not-elim :args (@t48)) % 0.32/0.58 (step @p34 :rule refl :args (@t53)) % 0.32/0.58 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t53 (not @t49)))) % 0.32/0.58 (step @p36 :rule cnf_or_neg :args (@t53 2)) % 0.32/0.58 (step @p37 :rule eq_resolve :premises (@p36 @p35)) % 0.32/0.58 (step @p38 :rule reordering :premises (@p37) :args ((or @t48 @t53))) % 0.32/0.58 (step @p39 :rule chain_m_resolution :premises (@p38 @p32) :args (@t48 @t54 @t55)) % 0.32/0.58 (step @p40 :rule cnf_or_neg :args (@t53 1)) % 0.32/0.58 (step @p41 :rule chain_m_resolution :premises (@p40 @p32) :args ((not @t51) @t54 @t55)) % 0.32/0.58 (step @p42 :rule cnf_and_pos :args (@t56 0)) % 0.32/0.58 (step @p43 :rule reordering :premises (@p42) :args ((or @t51 @t57))) % 0.32/0.58 (step @p44 :rule chain_m_resolution :premises (@p43 @p41) :args (@t57 @t54 (@list @t51))) % 0.32/0.58 (step @p45 :rule aci_norm :args ((= (or (or @t59 @t58) @t29) (or @t59 @t58 @t28 @t27)))) % 0.32/0.58 (step @p46 :rule refl :args (@t29)) % 0.32/0.58 (step @p47 :rule bool-double-not-elim :args (@t30)) % 0.32/0.58 (step @p48 :rule nary_cong :premises (@p20 @p47) :args ((and @t43 (not @t31)))) % 0.32/0.58 (step @p49 :rule bool-or-de-morgan :args (@t33 @t31 false)) % 0.32/0.58 (step @p50 :rule trans :premises (@p49 @p48)) % 0.32/0.58 (step @p51 :rule bool-double-not-elim :args (@t23)) % 0.32/0.58 (step @p52 :rule nary_cong :premises (@p51 @p21) :args ((and @t60 @t44))) % 0.32/0.58 (step @p53 :rule bool-or-de-morgan :args (@t24 @t22 false)) % 0.32/0.58 (step @p54 :rule trans :premises (@p53 @p52)) % 0.32/0.58 (step @p55 :rule nary_cong :premises (@p54 @p50) :args ((or (not @t35) (not @t34)))) % 0.32/0.58 (step @p56 :rule bool-and-de-morgan :args (@t35 @t34 true)) % 0.32/0.58 (step @p57 :rule trans :premises (@p56 @p55)) % 0.32/0.58 (step @p58 :rule nary_cong :premises (@p57 @p46) :args ((or (not @t36) @t29))) % 0.32/0.58 (step @p59 :rule trans :premises (@p58 @p45)) % 0.32/0.58 (step @p60 :rule bool-impl-elim :args (@t36 @t29)) % 0.32/0.58 (step @p61 :rule trans :premises (@p60 @p59)) % 0.32/0.58 (step @p62 :rule cong :premises (@p61) :args (@t38)) % 0.32/0.58 (step @p63 :rule eq_resolve :premises (@p14 @p62)) % 0.32/0.58 (step @p64 :rule instantiate :premises (@p63) :args (@t61)) % 0.32/0.58 (step @p65 :rule cnf_or_neg :args (@t53 0)) % 0.32/0.58 (step @p66 :rule chain_m_resolution :premises (@p65 @p32) :args ((not @t52) @t54 @t55)) % 0.32/0.58 (step @p67 :rule cnf_and_pos :args (@t63 1)) % 0.32/0.58 (step @p68 :rule reordering :premises (@p67) :args ((or @t52 @t64))) % 0.32/0.58 (step @p69 :rule chain_m_resolution :premises (@p68 @p66) :args (@t64 @t54 (@list @t52))) % 0.32/0.58 (step @p70 :rule aci_norm :args ((= (or @t65 @t12) (or @t65 @t11 @t10)))) % 0.32/0.58 (step @p71 :rule bool-impl-elim :args (@t13 @t12)) % 0.32/0.58 (step @p72 :rule trans :premises (@p71 @p70)) % 0.32/0.58 (step @p73 :rule cong :premises (@p72) :args (@t14)) % 0.32/0.58 (step @p74 :rule eq_resolve :premises (@p6 @p73)) % 0.32/0.58 (step @p75 :rule instantiate :premises (@p74) :args (@t61)) % 0.32/0.58 (step @p76 :rule nary_cong :premises (@p51 @p21) :args ((or @t60 @t44))) % 0.32/0.58 (step @p77 :rule bool-and-de-morgan :args (@t24 @t22 true)) % 0.32/0.58 (step @p78 :rule trans :premises (@p77 @p76)) % 0.32/0.58 (step @p79 :rule cong :premises (@p78) :args (@t25)) % 0.32/0.58 (step @p80 :rule eq_resolve :premises (@p13 @p79)) % 0.32/0.58 (step @p81 :rule instantiate :premises (@p80) :args ((@list @t50 @t47))) % 0.32/0.58 (step @p82 :rule cnf_or_pos :args (@t66)) % 0.32/0.58 (step @p83 :rule reordering :premises (@p82) :args ((or @t52 @t62 (not @t66)))) % 0.32/0.58 (step @p84 :rule chain_m_resolution :premises (@p83 @p66 @p81) :args (@t62 (@list true false) (@list @t52 @t66))) % 0.32/0.58 (step @p85 :rule cnf_or_pos :args (@t69)) % 0.32/0.58 (step @p86 :rule reordering :premises (@p85) :args ((or @t51 @t68 @t67 (not @t69)))) % 0.32/0.58 (step @p87 :rule chain_m_resolution :premises (@p86 @p41 @p84 @p75) :args (@t67 (@list true false false) (@list @t51 @t62 @t69))) % 0.32/0.58 (step @p88 :rule cnf_or_pos :args (@t71)) % 0.32/0.58 (step @p89 :rule reordering :premises (@p88) :args ((or @t49 @t56 @t63 @t70 (not @t71)))) % 0.32/0.58 (step @p90 false :rule chain_m_resolution :premises (@p89 @p87 @p69 @p64 @p44 @p39) :args (false (@list false true false true false) (@list @t67 @t63 @t71 @t56 @t48))) % 0.32/0.58 ) % 0.32/0.58 % SZS output end Proof % 0.32/0.58 % cvc5 exiting %------------------------------------------------------------------------------