%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO218+1 : 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 : n020.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 : GEO218+1 : 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 % 0.17/0.34 % Computer : n020.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 23:40:55 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.50 %----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.convergent_lines @t4 @t3)) % 0.38/0.58 (define @t10 () (tptp.convergent_lines @t1 @t3)) % 0.38/0.58 (define @t11 () (or @t10 @t9)) % 0.38/0.58 (define @t12 () (tptp.convergent_lines @t1 @t4)) % 0.38/0.58 (define @t13 () (forall @t7 (=> @t12 @t11))) % 0.38/0.58 (define @t14 () (tptp.line_connecting @t1 @t4)) % 0.38/0.58 (define @t15 () (@list @t1 @t4)) % 0.38/0.58 (define @t16 () (tptp.intersection_point @t1 @t4)) % 0.38/0.58 (define @t17 () (@var "V" $$unsorted)) % 0.38/0.58 (define @t18 () (@var "U" $$unsorted)) % 0.38/0.58 (define @t19 () (tptp.apart_point_and_line @t1 @t4)) % 0.38/0.58 (define @t20 () (@var "M" $$unsorted)) % 0.38/0.58 (define @t21 () (@var "L" $$unsorted)) % 0.38/0.58 (define @t22 () (tptp.unorthogonal_lines @t21 @t20)) % 0.38/0.58 (define @t23 () (not @t22)) % 0.38/0.58 (define @t24 () (tptp.convergent_lines @t21 @t20)) % 0.38/0.58 (define @t25 () (not @t24)) % 0.38/0.58 (define @t26 () (forall (@list @t21 @t20) (not (and @t25 @t23)))) % 0.38/0.58 (define @t27 () (@var "N" $$unsorted)) % 0.38/0.58 (define @t28 () (not (tptp.unorthogonal_lines @t20 @t27))) % 0.38/0.58 (define @t29 () (not (tptp.convergent_lines @t20 @t27))) % 0.38/0.58 (define @t30 () (or @t29 @t28)) % 0.38/0.58 (define @t31 () (tptp.unorthogonal_lines @t21 @t27)) % 0.38/0.58 (define @t32 () (not @t31)) % 0.38/0.58 (define @t33 () (tptp.convergent_lines @t21 @t27)) % 0.38/0.58 (define @t34 () (not @t33)) % 0.38/0.58 (define @t35 () (or @t34 @t32)) % 0.38/0.58 (define @t36 () (or @t25 @t23)) % 0.38/0.58 (define @t37 () (and @t36 @t35)) % 0.38/0.58 (define @t38 () (@list @t21 @t20 @t27)) % 0.38/0.58 (define @t39 () (forall @t38 (=> @t37 @t30))) % 0.38/0.58 (define @t40 () (and @t23 @t32)) % 0.38/0.58 (define @t41 () (forall @t38 (=> @t40 @t29))) % 0.38/0.58 (define @t42 () (and @t25 @t32)) % 0.38/0.58 (define @t43 () (forall @t38 (=> @t42 @t28))) % 0.38/0.58 (define @t44 () (not @t43)) % 0.38/0.58 (define @t45 () (not @t12)) % 0.38/0.58 (define @t46 () (or @t45 @t10 @t9)) % 0.38/0.58 (define @t47 () (or @t24 @t31 @t28)) % 0.38/0.58 (define @t48 () (forall @t38 @t47)) % 0.38/0.58 (define @t49 () (@quantifiers_skolemize @t48 1)) % 0.38/0.58 (define @t50 () (@quantifiers_skolemize @t48 2)) % 0.38/0.58 (define @t51 () (@quantifiers_skolemize @t48 0)) % 0.38/0.58 (define @t52 () (not @t23)) % 0.38/0.58 (define @t53 () (not @t25)) % 0.38/0.58 (define @t54 () (not @t32)) % 0.38/0.58 (define @t55 () (tptp.unorthogonal_lines @t49 @t50)) % 0.38/0.58 (define @t56 () (not @t55)) % 0.38/0.58 (define @t57 () (tptp.unorthogonal_lines @t51 @t50)) % 0.38/0.58 (define @t58 () (tptp.convergent_lines @t51 @t49)) % 0.38/0.58 (define @t59 () (or @t58 @t57 @t56)) % 0.38/0.58 (define @t60 () (@list true)) % 0.38/0.58 (define @t61 () (@list @t59)) % 0.38/0.58 (define @t62 () (tptp.convergent_lines @t51 @t50)) % 0.38/0.58 (define @t63 () (or @t62 @t57)) % 0.38/0.58 (define @t64 () (@list true false)) % 0.38/0.58 (define @t65 () (tptp.convergent_lines @t50 @t49)) % 0.38/0.58 (define @t66 () (not @t62)) % 0.38/0.58 (define @t67 () (or @t66 @t58 @t65)) % 0.38/0.58 (define @t68 () (and @t33 @t31)) % 0.38/0.58 (define @t69 () (and @t24 @t22)) % 0.38/0.58 (define @t70 () (and @t62 @t57)) % 0.38/0.58 (define @t71 () (not @t70)) % 0.38/0.58 (define @t72 () (and @t58 (tptp.unorthogonal_lines @t51 @t49))) % 0.38/0.58 (define @t73 () (not @t72)) % 0.38/0.58 (define @t74 () (tptp.convergent_lines @t49 @t50)) % 0.38/0.58 (define @t75 () (not @t74)) % 0.38/0.58 (define @t76 () (or @t72 @t70 @t75 @t56)) % 0.38/0.58 (define @t77 () (tptp.convergent_lines @t50 @t50)) % 0.38/0.58 (define @t78 () (not @t77)) % 0.38/0.58 (define @t79 () (or @t57 @t57 @t78)) % 0.38/0.58 (define @t80 () (not @t65)) % 0.38/0.58 (define @t81 () (or @t80 @t77 @t74)) % 0.38/0.58 (define @t82 () (not @t81)) % 0.38/0.58 (define @t83 () (forall @t7 @t46)) % 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 (=> (tptp.distinct_lines @t1 @t4) (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.38/0.58 (assume @p6 @t13) % 0.38/0.58 (assume @p7 (forall @t15 (=> @t6 (not (tptp.apart_point_and_line @t1 @t14))))) % 0.38/0.58 (assume @p8 (forall @t15 (=> @t6 (not (tptp.apart_point_and_line @t4 @t14))))) % 0.38/0.58 (assume @p9 (forall @t15 (=> @t12 (not (tptp.apart_point_and_line @t16 @t1))))) % 0.38/0.58 (assume @p10 (forall @t15 (=> @t12 (not (tptp.apart_point_and_line @t16 @t4))))) % 0.38/0.58 (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))))) % 0.38/0.58 (assume @p12 (forall @t7 (=> @t19 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.38/0.58 (assume @p13 (forall @t7 (=> @t19 (or @t8 (tptp.apart_point_and_line @t1 @t3))))) % 0.38/0.58 (assume @p14 (forall @t7 (=> @t12 (or @t8 @t10)))) % 0.38/0.58 (assume @p15 @t26) % 0.38/0.58 (assume @p16 @t39) % 0.38/0.58 (assume @p17 @t41) % 0.38/0.58 (assume @p18 @t44) % 0.38/0.58 (assume @p19 true) % 0.38/0.58 (step @p20 :rule aci_norm :args ((= (or @t45 @t11) @t46))) % 0.38/0.58 (step @p21 :rule bool-impl-elim :args (@t12 @t11)) % 0.38/0.58 (step @p22 :rule trans :premises (@p21 @p20)) % 0.38/0.58 (step @p23 :rule cong :premises (@p22) :args (@t13)) % 0.38/0.58 (step @p24 :rule eq_resolve :premises (@p6 @p23)) % 0.38/0.58 (step @p25 :rule instantiate :premises (@p24) :args ((@list @t51 @t50 @t49))) % 0.38/0.58 (step @p26 :rule bool-double-not-elim :args (@t22)) % 0.38/0.58 (step @p27 :rule bool-double-not-elim :args (@t24)) % 0.38/0.58 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or @t53 @t52))) % 0.38/0.58 (step @p29 :rule bool-and-de-morgan :args (@t25 @t23 true)) % 0.38/0.58 (step @p30 :rule trans :premises (@p29 @p28)) % 0.38/0.58 (step @p31 :rule cong :premises (@p30) :args (@t26)) % 0.38/0.58 (step @p32 :rule eq_resolve :premises (@p15 @p31)) % 0.38/0.58 (step @p33 :rule instantiate :premises (@p32) :args ((@list @t51 @t50))) % 0.38/0.58 (step @p34 :rule aci_norm :args ((= (or (or @t24 @t31) @t28) @t47))) % 0.38/0.58 (step @p35 :rule refl :args (@t28)) % 0.38/0.58 (step @p36 :rule bool-double-not-elim :args (@t31)) % 0.38/0.58 (step @p37 :rule nary_cong :premises (@p27 @p36) :args ((or @t53 @t54))) % 0.38/0.58 (step @p38 :rule bool-and-de-morgan :args (@t25 @t32 true)) % 0.38/0.58 (step @p39 :rule trans :premises (@p38 @p37)) % 0.38/0.58 (step @p40 :rule nary_cong :premises (@p39 @p35) :args ((or (not @t42) @t28))) % 0.38/0.58 (step @p41 :rule trans :premises (@p40 @p34)) % 0.38/0.58 (step @p42 :rule bool-impl-elim :args (@t42 @t28)) % 0.38/0.58 (step @p43 :rule trans :premises (@p42 @p41)) % 0.38/0.58 (step @p44 :rule cong :premises (@p43) :args (@t43)) % 0.38/0.58 (step @p45 :rule cong :premises (@p44) :args (@t44)) % 0.38/0.58 (step @p46 :rule eq_resolve :premises (@p18 @p45)) % 0.38/0.58 (step @p47 :rule skolemize :premises (@p46)) % 0.38/0.58 (step @p48 :rule cnf_or_neg :args (@t59 1)) % 0.38/0.58 (step @p49 :rule chain_m_resolution :premises (@p48 @p47) :args ((not @t57) @t60 @t61)) % 0.38/0.58 (step @p50 :rule cnf_or_pos :args (@t63)) % 0.38/0.58 (step @p51 :rule reordering :premises (@p50) :args ((or @t57 @t62 (not @t63)))) % 0.38/0.58 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p33) :args (@t62 @t64 (@list @t57 @t63))) % 0.38/0.58 (step @p53 :rule cnf_or_neg :args (@t59 0)) % 0.38/0.58 (step @p54 :rule chain_m_resolution :premises (@p53 @p47) :args ((not @t58) @t60 @t61)) % 0.38/0.58 (step @p55 :rule cnf_or_pos :args (@t67)) % 0.38/0.58 (step @p56 :rule reordering :premises (@p55) :args ((or @t58 @t66 @t65 (not @t67)))) % 0.38/0.58 (step @p57 :rule chain_m_resolution :premises (@p56 @p54 @p52 @p25) :args (@t65 (@list true false false) (@list @t58 @t62 @t67))) % 0.38/0.58 (step @p58 :rule aci_norm :args ((= (or (or @t69 @t68) @t30) (or @t69 @t68 @t29 @t28)))) % 0.38/0.58 (step @p59 :rule refl :args (@t30)) % 0.38/0.58 (step @p60 :rule bool-double-not-elim :args (@t33)) % 0.38/0.58 (step @p61 :rule nary_cong :premises (@p60 @p36) :args ((and (not @t34) @t54))) % 0.38/0.58 (step @p62 :rule bool-or-de-morgan :args (@t34 @t32 false)) % 0.38/0.58 (step @p63 :rule trans :premises (@p62 @p61)) % 0.38/0.58 (step @p64 :rule nary_cong :premises (@p27 @p26) :args ((and @t53 @t52))) % 0.38/0.58 (step @p65 :rule bool-or-de-morgan :args (@t25 @t23 false)) % 0.38/0.58 (step @p66 :rule trans :premises (@p65 @p64)) % 0.38/0.58 (step @p67 :rule nary_cong :premises (@p66 @p63) :args ((or (not @t36) (not @t35)))) % 0.38/0.58 (step @p68 :rule bool-and-de-morgan :args (@t36 @t35 true)) % 0.38/0.59 (step @p69 :rule trans :premises (@p68 @p67)) % 0.38/0.59 (step @p70 :rule nary_cong :premises (@p69 @p59) :args ((or (not @t37) @t30))) % 0.38/0.59 (step @p71 :rule trans :premises (@p70 @p58)) % 0.38/0.59 (step @p72 :rule bool-impl-elim :args (@t37 @t30)) % 0.38/0.59 (step @p73 :rule trans :premises (@p72 @p71)) % 0.38/0.59 (step @p74 :rule cong :premises (@p73) :args (@t39)) % 0.38/0.59 (step @p75 :rule eq_resolve :premises (@p16 @p74)) % 0.38/0.59 (step @p76 :rule instantiate :premises (@p75) :args ((@list @t51 @t49 @t50))) % 0.38/0.59 (step @p77 :rule cnf_and_pos :args (@t70 1)) % 0.38/0.59 (step @p78 :rule reordering :premises (@p77) :args ((or @t57 @t71))) % 0.38/0.59 (step @p79 :rule chain_m_resolution :premises (@p78 @p49) :args (@t71 @t60 (@list @t57))) % 0.38/0.59 (step @p80 :rule cnf_and_pos :args (@t72 0)) % 0.38/0.59 (step @p81 :rule reordering :premises (@p80) :args ((or @t58 @t73))) % 0.38/0.59 (step @p82 :rule chain_m_resolution :premises (@p81 @p54) :args (@t73 @t60 (@list @t58))) % 0.38/0.59 (step @p83 :rule bool-double-not-elim :args (@t55)) % 0.38/0.59 (step @p84 :rule refl :args (@t59)) % 0.38/0.59 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or @t59 (not @t56)))) % 0.38/0.59 (step @p86 :rule cnf_or_neg :args (@t59 2)) % 0.38/0.59 (step @p87 :rule eq_resolve :premises (@p86 @p85)) % 0.38/0.59 (step @p88 :rule reordering :premises (@p87) :args ((or @t55 @t59))) % 0.38/0.59 (step @p89 :rule chain_m_resolution :premises (@p88 @p47) :args (@t55 @t60 @t61)) % 0.38/0.59 (step @p90 :rule cnf_or_pos :args (@t76)) % 0.38/0.59 (step @p91 :rule reordering :premises (@p90) :args ((or @t56 @t72 @t70 @t75 (not @t76)))) % 0.38/0.59 (step @p92 :rule chain_m_resolution :premises (@p91 @p89 @p82 @p79 @p76) :args (@t75 (@list false true true false) (@list @t55 @t72 @t70 @t76))) % 0.38/0.59 (step @p93 :rule aci_norm :args ((= (or (or @t22 @t31) @t29) (or @t22 @t31 @t29)))) % 0.38/0.59 (step @p94 :rule refl :args (@t29)) % 0.38/0.59 (step @p95 :rule nary_cong :premises (@p26 @p36) :args ((or @t52 @t54))) % 0.38/0.59 (step @p96 :rule bool-and-de-morgan :args (@t23 @t32 true)) % 0.38/0.59 (step @p97 :rule trans :premises (@p96 @p95)) % 0.38/0.59 (step @p98 :rule nary_cong :premises (@p97 @p94) :args ((or (not @t40) @t29))) % 0.38/0.59 (step @p99 :rule trans :premises (@p98 @p93)) % 0.38/0.59 (step @p100 :rule bool-impl-elim :args (@t40 @t29)) % 0.38/0.59 (step @p101 :rule trans :premises (@p100 @p99)) % 0.38/0.59 (step @p102 :rule cong :premises (@p101) :args (@t41)) % 0.38/0.59 (step @p103 :rule eq_resolve :premises (@p17 @p102)) % 0.38/0.59 (step @p104 :rule instantiate :premises (@p103) :args ((@list @t51 @t50 @t50))) % 0.38/0.59 (step @p105 :rule cnf_or_pos :args (@t79)) % 0.38/0.59 (step @p106 :rule factoring :premises (@p105)) % 0.38/0.59 (step @p107 :rule reordering :premises (@p106) :args ((or @t57 @t78 (not @t79)))) % 0.38/0.59 (step @p108 :rule chain_m_resolution :premises (@p107 @p49 @p104) :args (@t78 @t64 (@list @t57 @t79))) % 0.38/0.59 (step @p109 :rule cnf_or_pos :args (@t81)) % 0.38/0.59 (step @p110 :rule reordering :premises (@p109) :args ((or @t77 @t74 @t80 @t82))) % 0.38/0.59 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p92 @p57) :args (@t82 (@list true true false) (@list @t77 @t74 @t65))) % 0.38/0.59 (assume-push @p118 @t83) % 0.38/0.59 (step @p113 :rule instantiate :premises (@p24) :args ((@list @t50 @t49 @t50))) % 0.38/0.59 (step-pop @p119 :rule scope :premises (@p113)) % 0.38/0.59 (step @p114 :rule process_scope :premises (@p119) :args (@t81)) % 0.38/0.59 (step @p116 :rule implies_elim :premises (@p114)) % 0.38/0.59 (step @p117 false :rule chain_m_resolution :premises (@p116 @p111 @p24) :args (false @t64 (@list @t81 @t83))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------