%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO205+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 : n015.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 08:16:43 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO205+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 % 0.16/0.34 % Computer : n015.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 23:40:19 EDT 2026 % 0.16/0.34 % CPUTime : % 0.32/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.57 (define @t2 () (@list @t1)) % 0.38/0.57 (define @t3 () (@var "Z" $$unsorted)) % 0.38/0.57 (define @t4 () (@var "Y" $$unsorted)) % 0.38/0.57 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.38/0.57 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.38/0.57 (define @t7 () (@list @t1 @t4 @t3)) % 0.38/0.57 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.38/0.57 (define @t9 () (tptp.convergent_lines @t1 @t3)) % 0.38/0.57 (define @t10 () (tptp.convergent_lines @t1 @t4)) % 0.38/0.57 (define @t11 () (tptp.line_connecting @t1 @t4)) % 0.38/0.57 (define @t12 () (@list @t1 @t4)) % 0.38/0.57 (define @t13 () (tptp.intersection_point @t1 @t4)) % 0.38/0.57 (define @t14 () (not (tptp.apart_point_and_line @t13 @t1))) % 0.38/0.57 (define @t15 () (forall @t12 (=> @t10 @t14))) % 0.38/0.57 (define @t16 () (not (tptp.apart_point_and_line @t13 @t4))) % 0.38/0.57 (define @t17 () (forall @t12 (=> @t10 @t16))) % 0.38/0.57 (define @t18 () (@var "V" $$unsorted)) % 0.38/0.57 (define @t19 () (tptp.apart_point_and_line @t4 @t18)) % 0.38/0.57 (define @t20 () (@var "U" $$unsorted)) % 0.38/0.57 (define @t21 () (tptp.apart_point_and_line @t4 @t20)) % 0.38/0.57 (define @t22 () (tptp.apart_point_and_line @t1 @t18)) % 0.38/0.57 (define @t23 () (tptp.apart_point_and_line @t1 @t20)) % 0.38/0.57 (define @t24 () (or @t23 @t22 @t21 @t19)) % 0.38/0.57 (define @t25 () (tptp.distinct_lines @t20 @t18)) % 0.38/0.57 (define @t26 () (and @t6 @t25)) % 0.38/0.57 (define @t27 () (forall (@list @t1 @t4 @t20 @t18) (=> @t26 @t24))) % 0.38/0.57 (define @t28 () (tptp.apart_point_and_line @t1 @t4)) % 0.38/0.57 (define @t29 () (tptp.apart_point_and_line @t1 @t3)) % 0.38/0.57 (define @t30 () (or @t8 @t29)) % 0.38/0.57 (define @t31 () (forall @t7 (=> @t28 @t30))) % 0.38/0.57 (define @t32 () (or @t8 @t9)) % 0.38/0.57 (define @t33 () (forall @t7 (=> @t10 @t32))) % 0.38/0.57 (define @t34 () (and @t9 (not (tptp.distinct_points @t13 (tptp.intersection_point @t1 @t3))))) % 0.38/0.57 (define @t35 () (not @t8)) % 0.38/0.57 (define @t36 () (and @t10 @t35)) % 0.38/0.57 (define @t37 () (forall @t7 (=> @t36 @t34))) % 0.38/0.57 (define @t38 () (not @t37)) % 0.38/0.57 (define @t39 () (not @t28)) % 0.38/0.57 (define @t40 () (or @t39 @t8 @t29)) % 0.38/0.57 (define @t41 () (not @t25)) % 0.38/0.57 (define @t42 () (not @t6)) % 0.38/0.57 (define @t43 () (not @t10)) % 0.38/0.57 (define @t44 () (or @t43 @t8 @t34)) % 0.38/0.57 (define @t45 () (forall @t7 @t44)) % 0.38/0.57 (define @t46 () (@quantifiers_skolemize @t45 0)) % 0.38/0.57 (define @t47 () (@quantifiers_skolemize @t45 1)) % 0.38/0.57 (define @t48 () (@quantifiers_skolemize @t45 2)) % 0.38/0.57 (define @t49 () (tptp.intersection_point @t46 @t48)) % 0.38/0.57 (define @t50 () (tptp.intersection_point @t46 @t47)) % 0.38/0.57 (define @t51 () (tptp.convergent_lines @t46 @t47)) % 0.38/0.57 (define @t52 () (tptp.distinct_points @t50 @t49)) % 0.38/0.57 (define @t53 () (not @t52)) % 0.38/0.57 (define @t54 () (tptp.convergent_lines @t46 @t48)) % 0.38/0.57 (define @t55 () (and @t54 @t53)) % 0.38/0.57 (define @t56 () (tptp.distinct_lines @t47 @t48)) % 0.38/0.57 (define @t57 () (not @t51)) % 0.38/0.57 (define @t58 () (or @t57 @t56 @t55)) % 0.38/0.57 (define @t59 () (@list true)) % 0.38/0.57 (define @t60 () (@list @t58)) % 0.38/0.57 (define @t61 () (tptp.convergent_lines @t46 @t46)) % 0.38/0.57 (define @t62 () (tptp.distinct_lines @t47 @t46)) % 0.38/0.57 (define @t63 () (or @t57 @t62 @t61)) % 0.38/0.57 (define @t64 () (@list false true false)) % 0.38/0.57 (define @t65 () (@list @t46 @t48)) % 0.38/0.57 (define @t66 () (or @t57 @t56 @t54)) % 0.38/0.57 (define @t67 () (tptp.apart_point_and_line @t49 @t46)) % 0.38/0.57 (define @t68 () (not @t67)) % 0.38/0.57 (define @t69 () (not @t54)) % 0.38/0.57 (define @t70 () (or @t69 @t68)) % 0.38/0.57 (define @t71 () (@list false false)) % 0.38/0.57 (define @t72 () (@list @t46 @t47)) % 0.38/0.57 (define @t73 () (tptp.apart_point_and_line @t50 @t47)) % 0.38/0.57 (define @t74 () (not @t73)) % 0.38/0.57 (define @t75 () (or @t57 @t74)) % 0.38/0.57 (define @t76 () (tptp.apart_point_and_line @t50 @t46)) % 0.38/0.57 (define @t77 () (not @t76)) % 0.38/0.57 (define @t78 () (or @t57 @t77)) % 0.38/0.57 (define @t79 () (@list true false)) % 0.38/0.57 (define @t80 () (tptp.apart_point_and_line @t49 @t47)) % 0.38/0.57 (define @t81 () (not @t62)) % 0.38/0.57 (define @t82 () (or @t53 @t81 @t73 @t76 @t80 @t67)) % 0.38/0.57 (define @t83 () (tptp.apart_point_and_line @t49 @t48)) % 0.38/0.57 (define @t84 () (not @t83)) % 0.38/0.57 (define @t85 () (or @t69 @t84)) % 0.38/0.57 (define @t86 () (not @t80)) % 0.38/0.57 (define @t87 () (or @t86 @t56 @t83)) % 0.38/0.57 (define @t88 () (not @t87)) % 0.38/0.57 (define @t89 () (forall @t7 @t40)) % 0.38/0.57 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.38/0.57 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.38/0.57 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.38/0.57 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.38/0.57 (assume @p5 (forall @t7 (=> (tptp.distinct_lines @t1 @t4) (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.38/0.57 (assume @p6 (forall @t7 (=> @t10 (or @t9 (tptp.convergent_lines @t4 @t3))))) % 0.38/0.57 (assume @p7 (forall @t12 (=> @t6 (not (tptp.apart_point_and_line @t1 @t11))))) % 0.38/0.57 (assume @p8 (forall @t12 (=> @t6 (not (tptp.apart_point_and_line @t4 @t11))))) % 0.38/0.57 (assume @p9 @t15) % 0.38/0.57 (assume @p10 @t17) % 0.38/0.57 (assume @p11 @t27) % 0.38/0.57 (assume @p12 (forall @t7 (=> @t28 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.38/0.57 (assume @p13 @t31) % 0.38/0.57 (assume @p14 @t33) % 0.38/0.57 (assume @p15 @t38) % 0.38/0.57 (assume @p16 true) % 0.38/0.57 (step @p17 :rule aci_norm :args ((= (or @t39 @t30) @t40))) % 0.38/0.57 (step @p18 :rule bool-impl-elim :args (@t28 @t30)) % 0.38/0.57 (step @p19 :rule trans :premises (@p18 @p17)) % 0.38/0.57 (step @p20 :rule cong :premises (@p19) :args (@t31)) % 0.38/0.57 (step @p21 :rule eq_resolve :premises (@p13 @p20)) % 0.38/0.57 (step @p22 :rule aci_norm :args ((= (or (or @t42 @t41) @t24) (or @t42 @t41 @t23 @t22 @t21 @t19)))) % 0.38/0.57 (step @p23 :rule refl :args (@t24)) % 0.38/0.57 (step @p24 :rule bool-and-de-morgan :args (@t6 @t25 true)) % 0.38/0.57 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or (not @t26) @t24))) % 0.38/0.57 (step @p26 :rule trans :premises (@p25 @p22)) % 0.38/0.57 (step @p27 :rule bool-impl-elim :args (@t26 @t24)) % 0.38/0.57 (step @p28 :rule trans :premises (@p27 @p26)) % 0.38/0.57 (step @p29 :rule cong :premises (@p28) :args (@t27)) % 0.38/0.57 (step @p30 :rule eq_resolve :premises (@p11 @p29)) % 0.38/0.57 (step @p31 :rule instantiate :premises (@p30) :args ((@list @t50 @t49 @t47 @t46))) % 0.38/0.57 (step @p32 :rule aci_norm :args ((= (or @t43 @t32) (or @t43 @t8 @t9)))) % 0.38/0.57 (step @p33 :rule bool-impl-elim :args (@t10 @t32)) % 0.38/0.57 (step @p34 :rule trans :premises (@p33 @p32)) % 0.38/0.57 (step @p35 :rule cong :premises (@p34) :args (@t33)) % 0.38/0.57 (step @p36 :rule eq_resolve :premises (@p14 @p35)) % 0.38/0.57 (step @p37 :rule instantiate :premises (@p36) :args ((@list @t46 @t47 @t46))) % 0.38/0.57 (step @p38 :rule instantiate :premises (@p3) :args ((@list @t46))) % 0.38/0.57 (step @p39 :rule aci_norm :args ((= (or (or @t43 @t8) @t34) @t44))) % 0.38/0.57 (step @p40 :rule refl :args (@t34)) % 0.38/0.57 (step @p41 :rule bool-double-not-elim :args (@t8)) % 0.38/0.57 (step @p42 :rule refl :args (@t43)) % 0.38/0.57 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t43 (not @t35)))) % 0.38/0.57 (step @p44 :rule bool-and-de-morgan :args (@t10 @t35 true)) % 0.38/0.57 (step @p45 :rule trans :premises (@p44 @p43)) % 0.38/0.57 (step @p46 :rule nary_cong :premises (@p45 @p40) :args ((or (not @t36) @t34))) % 0.38/0.57 (step @p47 :rule trans :premises (@p46 @p39)) % 0.38/0.57 (step @p48 :rule bool-impl-elim :args (@t36 @t34)) % 0.38/0.57 (step @p49 :rule trans :premises (@p48 @p47)) % 0.38/0.57 (step @p50 :rule cong :premises (@p49) :args (@t37)) % 0.38/0.57 (step @p51 :rule cong :premises (@p50) :args (@t38)) % 0.38/0.57 (step @p52 :rule eq_resolve :premises (@p15 @p51)) % 0.38/0.57 (step @p53 :rule skolemize :premises (@p52)) % 0.38/0.57 (step @p54 :rule bool-double-not-elim :args (@t51)) % 0.38/0.57 (step @p55 :rule refl :args (@t58)) % 0.38/0.57 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t58 (not @t57)))) % 0.38/0.57 (step @p57 :rule cnf_or_neg :args (@t58 0)) % 0.38/0.57 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 0.38/0.57 (step @p59 :rule reordering :premises (@p58) :args ((or @t51 @t58))) % 0.38/0.57 (step @p60 :rule chain_m_resolution :premises (@p59 @p53) :args (@t51 @t59 @t60)) % 0.38/0.57 (step @p61 :rule cnf_or_pos :args (@t63)) % 0.38/0.57 (step @p62 :rule reordering :premises (@p61) :args ((or @t57 @t61 @t62 (not @t63)))) % 0.38/0.57 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p38 @p37) :args (@t62 @t64 (@list @t51 @t61 @t63))) % 0.38/0.57 (step @p64 :rule bool-impl-elim :args (@t10 @t14)) % 0.38/0.57 (step @p65 :rule cong :premises (@p64) :args (@t15)) % 0.38/0.57 (step @p66 :rule eq_resolve :premises (@p9 @p65)) % 0.38/0.57 (step @p67 :rule instantiate :premises (@p66) :args (@t65)) % 0.38/0.57 (step @p68 :rule instantiate :premises (@p36) :args ((@list @t46 @t47 @t48))) % 0.38/0.57 (step @p69 :rule cnf_or_neg :args (@t58 1)) % 0.38/0.58 (step @p70 :rule chain_m_resolution :premises (@p69 @p53) :args ((not @t56) @t59 @t60)) % 0.38/0.58 (step @p71 :rule cnf_or_pos :args (@t66)) % 0.38/0.58 (step @p72 :rule reordering :premises (@p71) :args ((or @t57 @t56 @t54 (not @t66)))) % 0.38/0.58 (step @p73 :rule chain_m_resolution :premises (@p72 @p60 @p70 @p68) :args (@t54 @t64 (@list @t51 @t56 @t66))) % 0.38/0.58 (step @p74 :rule cnf_or_pos :args (@t70)) % 0.38/0.58 (step @p75 :rule reordering :premises (@p74) :args ((or @t69 @t68 (not @t70)))) % 0.38/0.58 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p67) :args (@t68 @t71 (@list @t54 @t70))) % 0.38/0.58 (step @p77 :rule bool-impl-elim :args (@t10 @t16)) % 0.38/0.58 (step @p78 :rule cong :premises (@p77) :args (@t17)) % 0.38/0.58 (step @p79 :rule eq_resolve :premises (@p10 @p78)) % 0.38/0.58 (step @p80 :rule instantiate :premises (@p79) :args (@t72)) % 0.38/0.58 (step @p81 :rule cnf_or_pos :args (@t75)) % 0.38/0.58 (step @p82 :rule reordering :premises (@p81) :args ((or @t57 @t74 (not @t75)))) % 0.38/0.58 (step @p83 :rule chain_m_resolution :premises (@p82 @p60 @p80) :args (@t74 @t71 (@list @t51 @t75))) % 0.38/0.58 (step @p84 :rule instantiate :premises (@p66) :args (@t72)) % 0.38/0.58 (step @p85 :rule cnf_or_pos :args (@t78)) % 0.38/0.58 (step @p86 :rule reordering :premises (@p85) :args ((or @t57 @t77 (not @t78)))) % 0.38/0.58 (step @p87 :rule chain_m_resolution :premises (@p86 @p60 @p84) :args (@t77 @t71 (@list @t51 @t78))) % 0.38/0.58 (step @p88 :rule cnf_or_neg :args (@t58 2)) % 0.38/0.58 (step @p89 :rule chain_m_resolution :premises (@p88 @p53) :args ((not @t55) @t59 @t60)) % 0.38/0.58 (step @p90 :rule bool-double-not-elim :args (@t52)) % 0.38/0.58 (step @p91 :rule refl :args (@t69)) % 0.38/0.58 (step @p92 :rule refl :args (@t55)) % 0.38/0.58 (step @p93 :rule nary_cong :premises (@p92 @p91 @p90) :args ((or @t55 @t69 (not @t53)))) % 0.38/0.58 (step @p94 :rule cnf_and_neg :args (@t55)) % 0.38/0.58 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 0.38/0.58 (step @p96 :rule reordering :premises (@p95) :args ((or @t52 @t55 @t69))) % 0.38/0.58 (step @p97 :rule chain_m_resolution :premises (@p96 @p89 @p73) :args (@t52 @t79 (@list @t55 @t54))) % 0.38/0.58 (step @p98 :rule cnf_or_pos :args (@t82)) % 0.38/0.58 (step @p99 :rule reordering :premises (@p98) :args ((or @t53 @t76 @t73 @t67 @t81 @t80 (not @t82)))) % 0.38/0.58 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p87 @p83 @p76 @p63 @p31) :args (@t80 (@list false true true true false false) (@list @t52 @t76 @t73 @t67 @t62 @t82))) % 0.38/0.58 (step @p101 :rule instantiate :premises (@p79) :args (@t65)) % 0.38/0.58 (step @p102 :rule cnf_or_pos :args (@t85)) % 0.38/0.58 (step @p103 :rule reordering :premises (@p102) :args ((or @t69 @t84 (not @t85)))) % 0.38/0.58 (step @p104 :rule chain_m_resolution :premises (@p103 @p73 @p101) :args (@t84 @t71 (@list @t54 @t85))) % 0.38/0.58 (step @p105 :rule cnf_or_pos :args (@t87)) % 0.38/0.58 (step @p106 :rule reordering :premises (@p105) :args ((or @t56 @t83 @t86 @t88))) % 0.38/0.58 (step @p107 :rule chain_m_resolution :premises (@p106 @p70 @p104 @p100) :args (@t88 (@list true true false) (@list @t56 @t83 @t80))) % 0.38/0.58 (assume-push @p114 @t89) % 0.38/0.58 (step @p109 :rule instantiate :premises (@p21) :args ((@list @t49 @t47 @t48))) % 0.38/0.58 (step-pop @p115 :rule scope :premises (@p109)) % 0.38/0.58 (step @p110 :rule process_scope :premises (@p115) :args (@t87)) % 0.38/0.58 (step @p112 :rule implies_elim :premises (@p110)) % 0.38/0.58 (step @p113 false :rule chain_m_resolution :premises (@p112 @p107 @p21) :args (false @t79 (@list @t87 @t89))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------