%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO204+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 : 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 08:16:43 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO204+1 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n005.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Mon Jun 1 23:40:03 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.57 (define @t2 () (@list @t1)) % 0.37/0.57 (define @t3 () (@var "Z" $$unsorted)) % 0.37/0.57 (define @t4 () (@var "Y" $$unsorted)) % 0.37/0.57 (define @t5 () (tptp.distinct_points @t4 @t3)) % 0.37/0.57 (define @t6 () (tptp.distinct_points @t1 @t3)) % 0.37/0.57 (define @t7 () (or @t6 @t5)) % 0.37/0.57 (define @t8 () (tptp.distinct_points @t1 @t4)) % 0.37/0.57 (define @t9 () (@list @t1 @t4 @t3)) % 0.37/0.57 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.37/0.57 (define @t11 () (tptp.distinct_lines @t4 @t3)) % 0.37/0.57 (define @t12 () (tptp.convergent_lines @t1 @t3)) % 0.37/0.57 (define @t13 () (tptp.convergent_lines @t1 @t4)) % 0.37/0.57 (define @t14 () (tptp.line_connecting @t1 @t4)) % 0.37/0.57 (define @t15 () (not (tptp.apart_point_and_line @t1 @t14))) % 0.37/0.57 (define @t16 () (@list @t1 @t4)) % 0.37/0.57 (define @t17 () (forall @t16 (=> @t8 @t15))) % 0.37/0.57 (define @t18 () (not (tptp.apart_point_and_line @t4 @t14))) % 0.37/0.57 (define @t19 () (forall @t16 (=> @t8 @t18))) % 0.37/0.57 (define @t20 () (tptp.intersection_point @t1 @t4)) % 0.37/0.57 (define @t21 () (@var "V" $$unsorted)) % 0.37/0.57 (define @t22 () (tptp.apart_point_and_line @t4 @t21)) % 0.37/0.57 (define @t23 () (@var "U" $$unsorted)) % 0.37/0.57 (define @t24 () (tptp.apart_point_and_line @t4 @t23)) % 0.37/0.57 (define @t25 () (tptp.apart_point_and_line @t1 @t21)) % 0.37/0.57 (define @t26 () (tptp.apart_point_and_line @t1 @t23)) % 0.37/0.57 (define @t27 () (or @t26 @t25 @t24 @t22)) % 0.37/0.57 (define @t28 () (tptp.distinct_lines @t23 @t21)) % 0.37/0.57 (define @t29 () (and @t8 @t28)) % 0.37/0.57 (define @t30 () (forall (@list @t1 @t4 @t23 @t21) (=> @t29 @t27))) % 0.37/0.57 (define @t31 () (tptp.apart_point_and_line @t3 @t4)) % 0.37/0.57 (define @t32 () (or @t6 @t31)) % 0.37/0.57 (define @t33 () (tptp.apart_point_and_line @t1 @t4)) % 0.37/0.57 (define @t34 () (forall @t9 (=> @t33 @t32))) % 0.37/0.57 (define @t35 () (and @t6 (not (tptp.distinct_lines @t14 (tptp.line_connecting @t1 @t3))))) % 0.37/0.57 (define @t36 () (not @t5)) % 0.37/0.57 (define @t37 () (and @t8 @t36)) % 0.37/0.57 (define @t38 () (forall @t9 (=> @t37 @t35))) % 0.37/0.57 (define @t39 () (not @t38)) % 0.37/0.57 (define @t40 () (not @t33)) % 0.37/0.57 (define @t41 () (or @t40 @t6 @t31)) % 0.37/0.57 (define @t42 () (not @t28)) % 0.37/0.57 (define @t43 () (not @t8)) % 0.37/0.57 (define @t44 () (or @t43 @t5 @t35)) % 0.37/0.57 (define @t45 () (forall @t9 @t44)) % 0.37/0.57 (define @t46 () (@quantifiers_skolemize @t45 2)) % 0.37/0.57 (define @t47 () (@quantifiers_skolemize @t45 0)) % 0.37/0.57 (define @t48 () (tptp.line_connecting @t47 @t46)) % 0.37/0.57 (define @t49 () (@quantifiers_skolemize @t45 1)) % 0.37/0.57 (define @t50 () (tptp.line_connecting @t47 @t49)) % 0.37/0.57 (define @t51 () (@list @t47 @t46)) % 0.37/0.57 (define @t52 () (tptp.distinct_lines @t50 @t48)) % 0.37/0.57 (define @t53 () (not @t52)) % 0.37/0.57 (define @t54 () (tptp.distinct_points @t47 @t46)) % 0.37/0.57 (define @t55 () (and @t54 @t53)) % 0.37/0.57 (define @t56 () (tptp.distinct_points @t49 @t46)) % 0.37/0.57 (define @t57 () (tptp.distinct_points @t47 @t49)) % 0.37/0.57 (define @t58 () (not @t57)) % 0.37/0.57 (define @t59 () (or @t58 @t56 @t55)) % 0.37/0.57 (define @t60 () (@list true)) % 0.37/0.57 (define @t61 () (@list @t59)) % 0.37/0.57 (define @t62 () (or @t58 @t54 @t56)) % 0.37/0.57 (define @t63 () (tptp.apart_point_and_line @t47 @t48)) % 0.37/0.57 (define @t64 () (not @t63)) % 0.37/0.57 (define @t65 () (not @t54)) % 0.37/0.57 (define @t66 () (or @t65 @t64)) % 0.37/0.57 (define @t67 () (@list false false)) % 0.37/0.57 (define @t68 () (@list @t47 @t49)) % 0.37/0.57 (define @t69 () (tptp.apart_point_and_line @t49 @t50)) % 0.37/0.57 (define @t70 () (not @t69)) % 0.37/0.57 (define @t71 () (or @t58 @t70)) % 0.37/0.57 (define @t72 () (tptp.apart_point_and_line @t47 @t50)) % 0.37/0.57 (define @t73 () (not @t72)) % 0.37/0.57 (define @t74 () (or @t58 @t73)) % 0.37/0.57 (define @t75 () (@list true false)) % 0.37/0.57 (define @t76 () (tptp.apart_point_and_line @t49 @t48)) % 0.37/0.57 (define @t77 () (or @t58 @t53 @t72 @t63 @t69 @t76)) % 0.37/0.57 (define @t78 () (tptp.apart_point_and_line @t46 @t48)) % 0.37/0.57 (define @t79 () (not @t78)) % 0.37/0.57 (define @t80 () (or @t65 @t79)) % 0.37/0.57 (define @t81 () (not @t76)) % 0.37/0.57 (define @t82 () (or @t81 @t56 @t78)) % 0.37/0.57 (define @t83 () (not @t82)) % 0.37/0.57 (define @t84 () (forall @t9 @t41)) % 0.37/0.57 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.37/0.57 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.37/0.57 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.37/0.57 (assume @p4 @t10) % 0.37/0.57 (assume @p5 (forall @t9 (=> (tptp.distinct_lines @t1 @t4) (or (tptp.distinct_lines @t1 @t3) @t11)))) % 0.37/0.57 (assume @p6 (forall @t9 (=> @t13 (or @t12 (tptp.convergent_lines @t4 @t3))))) % 0.37/0.57 (assume @p7 @t17) % 0.37/0.57 (assume @p8 @t19) % 0.37/0.57 (assume @p9 (forall @t16 (=> @t13 (not (tptp.apart_point_and_line @t20 @t1))))) % 0.37/0.57 (assume @p10 (forall @t16 (=> @t13 (not (tptp.apart_point_and_line @t20 @t4))))) % 0.37/0.57 (assume @p11 @t30) % 0.37/0.57 (assume @p12 @t34) % 0.37/0.57 (assume @p13 (forall @t9 (=> @t33 (or @t11 (tptp.apart_point_and_line @t1 @t3))))) % 0.37/0.57 (assume @p14 (forall @t9 (=> @t13 (or @t11 @t12)))) % 0.37/0.57 (assume @p15 @t39) % 0.37/0.57 (assume @p16 true) % 0.37/0.57 (step @p17 :rule aci_norm :args ((= (or @t40 @t32) @t41))) % 0.37/0.57 (step @p18 :rule bool-impl-elim :args (@t33 @t32)) % 0.37/0.57 (step @p19 :rule trans :premises (@p18 @p17)) % 0.37/0.57 (step @p20 :rule cong :premises (@p19) :args (@t34)) % 0.37/0.57 (step @p21 :rule eq_resolve :premises (@p12 @p20)) % 0.37/0.57 (step @p22 :rule aci_norm :args ((= (or (or @t43 @t42) @t27) (or @t43 @t42 @t26 @t25 @t24 @t22)))) % 0.37/0.57 (step @p23 :rule refl :args (@t27)) % 0.37/0.57 (step @p24 :rule bool-and-de-morgan :args (@t8 @t28 true)) % 0.37/0.57 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or (not @t29) @t27))) % 0.37/0.57 (step @p26 :rule trans :premises (@p25 @p22)) % 0.37/0.57 (step @p27 :rule bool-impl-elim :args (@t29 @t27)) % 0.37/0.57 (step @p28 :rule trans :premises (@p27 @p26)) % 0.37/0.57 (step @p29 :rule cong :premises (@p28) :args (@t30)) % 0.37/0.57 (step @p30 :rule eq_resolve :premises (@p11 @p29)) % 0.37/0.57 (step @p31 :rule instantiate :premises (@p30) :args ((@list @t47 @t49 @t50 @t48))) % 0.37/0.57 (step @p32 :rule bool-impl-elim :args (@t8 @t15)) % 0.37/0.57 (step @p33 :rule cong :premises (@p32) :args (@t17)) % 0.37/0.57 (step @p34 :rule eq_resolve :premises (@p7 @p33)) % 0.37/0.57 (step @p35 :rule instantiate :premises (@p34) :args (@t51)) % 0.37/0.57 (step @p36 :rule aci_norm :args ((= (or @t43 @t7) (or @t43 @t6 @t5)))) % 0.37/0.57 (step @p37 :rule bool-impl-elim :args (@t8 @t7)) % 0.37/0.57 (step @p38 :rule trans :premises (@p37 @p36)) % 0.37/0.57 (step @p39 :rule cong :premises (@p38) :args (@t10)) % 0.37/0.57 (step @p40 :rule eq_resolve :premises (@p4 @p39)) % 0.37/0.57 (step @p41 :rule instantiate :premises (@p40) :args ((@list @t47 @t49 @t46))) % 0.37/0.57 (step @p42 :rule aci_norm :args ((= (or (or @t43 @t5) @t35) @t44))) % 0.37/0.57 (step @p43 :rule refl :args (@t35)) % 0.37/0.57 (step @p44 :rule bool-double-not-elim :args (@t5)) % 0.37/0.57 (step @p45 :rule refl :args (@t43)) % 0.37/0.57 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t43 (not @t36)))) % 0.37/0.57 (step @p47 :rule bool-and-de-morgan :args (@t8 @t36 true)) % 0.37/0.57 (step @p48 :rule trans :premises (@p47 @p46)) % 0.37/0.57 (step @p49 :rule nary_cong :premises (@p48 @p43) :args ((or (not @t37) @t35))) % 0.37/0.57 (step @p50 :rule trans :premises (@p49 @p42)) % 0.37/0.57 (step @p51 :rule bool-impl-elim :args (@t37 @t35)) % 0.37/0.57 (step @p52 :rule trans :premises (@p51 @p50)) % 0.37/0.57 (step @p53 :rule cong :premises (@p52) :args (@t38)) % 0.37/0.57 (step @p54 :rule cong :premises (@p53) :args (@t39)) % 0.37/0.57 (step @p55 :rule eq_resolve :premises (@p15 @p54)) % 0.37/0.57 (step @p56 :rule skolemize :premises (@p55)) % 0.37/0.57 (step @p57 :rule cnf_or_neg :args (@t59 1)) % 0.37/0.57 (step @p58 :rule chain_m_resolution :premises (@p57 @p56) :args ((not @t56) @t60 @t61)) % 0.37/0.57 (step @p59 :rule bool-double-not-elim :args (@t57)) % 0.37/0.57 (step @p60 :rule refl :args (@t59)) % 0.37/0.57 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t59 (not @t58)))) % 0.37/0.57 (step @p62 :rule cnf_or_neg :args (@t59 0)) % 0.37/0.57 (step @p63 :rule eq_resolve :premises (@p62 @p61)) % 0.37/0.57 (step @p64 :rule reordering :premises (@p63) :args ((or @t57 @t59))) % 0.37/0.57 (step @p65 :rule chain_m_resolution :premises (@p64 @p56) :args (@t57 @t60 @t61)) % 0.37/0.57 (step @p66 :rule cnf_or_pos :args (@t62)) % 0.37/0.57 (step @p67 :rule reordering :premises (@p66) :args ((or @t58 @t56 @t54 (not @t62)))) % 0.37/0.57 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p58 @p41) :args (@t54 (@list false true false) (@list @t57 @t56 @t62))) % 0.37/0.57 (step @p69 :rule cnf_or_pos :args (@t66)) % 0.37/0.57 (step @p70 :rule reordering :premises (@p69) :args ((or @t65 @t64 (not @t66)))) % 0.37/0.57 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p35) :args (@t64 @t67 (@list @t54 @t66))) % 0.37/0.57 (step @p72 :rule bool-impl-elim :args (@t8 @t18)) % 0.37/0.58 (step @p73 :rule cong :premises (@p72) :args (@t19)) % 0.37/0.58 (step @p74 :rule eq_resolve :premises (@p8 @p73)) % 0.37/0.58 (step @p75 :rule instantiate :premises (@p74) :args (@t68)) % 0.37/0.58 (step @p76 :rule cnf_or_pos :args (@t71)) % 0.37/0.58 (step @p77 :rule reordering :premises (@p76) :args ((or @t58 @t70 (not @t71)))) % 0.37/0.58 (step @p78 :rule chain_m_resolution :premises (@p77 @p65 @p75) :args (@t70 @t67 (@list @t57 @t71))) % 0.37/0.58 (step @p79 :rule instantiate :premises (@p34) :args (@t68)) % 0.37/0.58 (step @p80 :rule cnf_or_pos :args (@t74)) % 0.37/0.58 (step @p81 :rule reordering :premises (@p80) :args ((or @t58 @t73 (not @t74)))) % 0.37/0.58 (step @p82 :rule chain_m_resolution :premises (@p81 @p65 @p79) :args (@t73 @t67 (@list @t57 @t74))) % 0.37/0.58 (step @p83 :rule cnf_or_neg :args (@t59 2)) % 0.37/0.58 (step @p84 :rule chain_m_resolution :premises (@p83 @p56) :args ((not @t55) @t60 @t61)) % 0.37/0.58 (step @p85 :rule bool-double-not-elim :args (@t52)) % 0.37/0.58 (step @p86 :rule refl :args (@t65)) % 0.37/0.58 (step @p87 :rule refl :args (@t55)) % 0.37/0.58 (step @p88 :rule nary_cong :premises (@p87 @p86 @p85) :args ((or @t55 @t65 (not @t53)))) % 0.37/0.58 (step @p89 :rule cnf_and_neg :args (@t55)) % 0.37/0.58 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 0.37/0.58 (step @p91 :rule reordering :premises (@p90) :args ((or @t52 @t55 @t65))) % 0.37/0.58 (step @p92 :rule chain_m_resolution :premises (@p91 @p84 @p68) :args (@t52 @t75 (@list @t55 @t54))) % 0.37/0.58 (step @p93 :rule cnf_or_pos :args (@t77)) % 0.37/0.58 (step @p94 :rule reordering :premises (@p93) :args ((or @t58 @t53 @t72 @t69 @t63 @t76 (not @t77)))) % 0.37/0.58 (step @p95 :rule chain_m_resolution :premises (@p94 @p65 @p92 @p82 @p78 @p71 @p31) :args (@t76 (@list false false true true true false) (@list @t57 @t52 @t72 @t69 @t63 @t77))) % 0.37/0.58 (step @p96 :rule instantiate :premises (@p74) :args (@t51)) % 0.37/0.58 (step @p97 :rule cnf_or_pos :args (@t80)) % 0.37/0.58 (step @p98 :rule reordering :premises (@p97) :args ((or @t65 @t79 (not @t80)))) % 0.37/0.58 (step @p99 :rule chain_m_resolution :premises (@p98 @p68 @p96) :args (@t79 @t67 (@list @t54 @t80))) % 0.37/0.58 (step @p100 :rule cnf_or_pos :args (@t82)) % 0.37/0.58 (step @p101 :rule reordering :premises (@p100) :args ((or @t56 @t78 @t81 @t83))) % 0.37/0.58 (step @p102 :rule chain_m_resolution :premises (@p101 @p58 @p99 @p95) :args (@t83 (@list true true false) (@list @t56 @t78 @t76))) % 0.37/0.58 (assume-push @p109 @t84) % 0.37/0.58 (step @p104 :rule instantiate :premises (@p21) :args ((@list @t49 @t48 @t46))) % 0.37/0.58 (step-pop @p110 :rule scope :premises (@p104)) % 0.37/0.58 (step @p105 :rule process_scope :premises (@p110) :args (@t82)) % 0.37/0.58 (step @p107 :rule implies_elim :premises (@p105)) % 0.37/0.58 (step @p108 false :rule chain_m_resolution :premises (@p107 @p102 @p21) :args (false @t75 (@list @t82 @t84))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------