%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO186+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 : n017.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 08:16:36 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO186+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 % 0.17/0.33 % Computer : n017.cluster.edu % 0.17/0.33 % Model : x86_64 x86_64 % 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.33 % Memory : 8042.1875MB % 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.33 % CPULimit : 300 % 0.17/0.33 % WCLimit : 300 % 0.17/0.33 % DateTime : Mon Jun 1 23:38:01 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.56 (define @t2 () (@list @t1)) % 0.37/0.56 (define @t3 () (@var "Z" $$unsorted)) % 0.37/0.56 (define @t4 () (@var "Y" $$unsorted)) % 0.37/0.56 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.37/0.56 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.37/0.56 (define @t7 () (@list @t1 @t4 @t3)) % 0.37/0.56 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.37/0.56 (define @t9 () (tptp.convergent_lines @t1 @t3)) % 0.37/0.56 (define @t10 () (tptp.convergent_lines @t1 @t4)) % 0.37/0.56 (define @t11 () (tptp.line_connecting @t1 @t4)) % 0.37/0.56 (define @t12 () (@list @t1 @t4)) % 0.37/0.56 (define @t13 () (tptp.intersection_point @t1 @t4)) % 0.37/0.56 (define @t14 () (not (tptp.apart_point_and_line @t13 @t1))) % 0.37/0.56 (define @t15 () (forall @t12 (=> @t10 @t14))) % 0.37/0.56 (define @t16 () (not (tptp.apart_point_and_line @t13 @t4))) % 0.37/0.56 (define @t17 () (forall @t12 (=> @t10 @t16))) % 0.37/0.56 (define @t18 () (@var "V" $$unsorted)) % 0.37/0.56 (define @t19 () (tptp.apart_point_and_line @t4 @t18)) % 0.37/0.56 (define @t20 () (@var "U" $$unsorted)) % 0.37/0.56 (define @t21 () (tptp.apart_point_and_line @t4 @t20)) % 0.37/0.56 (define @t22 () (tptp.apart_point_and_line @t1 @t18)) % 0.37/0.56 (define @t23 () (tptp.apart_point_and_line @t1 @t20)) % 0.37/0.56 (define @t24 () (or @t23 @t22 @t21 @t19)) % 0.37/0.56 (define @t25 () (tptp.distinct_lines @t20 @t18)) % 0.37/0.56 (define @t26 () (and @t6 @t25)) % 0.37/0.56 (define @t27 () (@list @t1 @t4 @t20 @t18)) % 0.37/0.56 (define @t28 () (forall @t27 (=> @t26 @t24))) % 0.37/0.56 (define @t29 () (tptp.apart_point_and_line @t1 @t4)) % 0.37/0.56 (define @t30 () (or @t8 @t9)) % 0.37/0.56 (define @t31 () (forall @t7 (=> @t10 @t30))) % 0.37/0.56 (define @t32 () (not (tptp.distinct_points @t1 (tptp.intersection_point @t20 @t18)))) % 0.37/0.56 (define @t33 () (not @t22)) % 0.37/0.56 (define @t34 () (not @t23)) % 0.37/0.56 (define @t35 () (tptp.convergent_lines @t20 @t18)) % 0.37/0.56 (define @t36 () (and @t6 @t35 @t34 @t33)) % 0.37/0.56 (define @t37 () (forall @t27 (=> @t36 @t32))) % 0.37/0.56 (define @t38 () (not @t37)) % 0.37/0.56 (define @t39 () (not @t25)) % 0.37/0.56 (define @t40 () (not @t6)) % 0.37/0.56 (define @t41 () (or @t40 @t39 @t23 @t22 @t21 @t19)) % 0.37/0.56 (define @t42 () (not @t10)) % 0.37/0.56 (define @t43 () (not @t35)) % 0.37/0.56 (define @t44 () (or @t40 @t43 @t23 @t22 @t32)) % 0.37/0.56 (define @t45 () (forall @t27 @t44)) % 0.37/0.56 (define @t46 () (@quantifiers_skolemize @t45 2)) % 0.37/0.56 (define @t47 () (@quantifiers_skolemize @t45 3)) % 0.37/0.56 (define @t48 () (not @t33)) % 0.37/0.56 (define @t49 () (not @t34)) % 0.37/0.56 (define @t50 () (or @t40 @t43 @t49 @t48)) % 0.37/0.56 (define @t51 () (tptp.convergent_lines @t46 @t47)) % 0.37/0.56 (define @t52 () (tptp.intersection_point @t46 @t47)) % 0.37/0.56 (define @t53 () (@quantifiers_skolemize @t45 0)) % 0.37/0.56 (define @t54 () (tptp.distinct_points @t53 @t52)) % 0.37/0.56 (define @t55 () (not @t54)) % 0.37/0.56 (define @t56 () (tptp.apart_point_and_line @t53 @t47)) % 0.37/0.56 (define @t57 () (tptp.apart_point_and_line @t53 @t46)) % 0.37/0.56 (define @t58 () (not @t51)) % 0.37/0.56 (define @t59 () (or (not (tptp.distinct_points @t53 (@quantifiers_skolemize @t45 1))) @t58 @t57 @t56 @t55)) % 0.37/0.56 (define @t60 () (@list true)) % 0.37/0.56 (define @t61 () (@list @t59)) % 0.37/0.56 (define @t62 () (tptp.convergent_lines @t46 @t46)) % 0.37/0.56 (define @t63 () (tptp.distinct_lines @t47 @t46)) % 0.37/0.56 (define @t64 () (or @t58 @t63 @t62)) % 0.37/0.56 (define @t65 () (@list @t46 @t47)) % 0.37/0.56 (define @t66 () (tptp.apart_point_and_line @t52 @t47)) % 0.37/0.56 (define @t67 () (not @t66)) % 0.37/0.56 (define @t68 () (or @t58 @t67)) % 0.37/0.56 (define @t69 () (@list false false)) % 0.37/0.56 (define @t70 () (tptp.apart_point_and_line @t52 @t46)) % 0.37/0.56 (define @t71 () (not @t70)) % 0.37/0.56 (define @t72 () (or @t58 @t71)) % 0.37/0.56 (define @t73 () (not @t63)) % 0.37/0.56 (define @t74 () (or @t55 @t73 @t56 @t57 @t66 @t70)) % 0.37/0.56 (define @t75 () (not @t74)) % 0.37/0.56 (define @t76 () (forall @t27 @t41)) % 0.37/0.56 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.37/0.56 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.37/0.56 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.37/0.56 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.37/0.56 (assume @p5 (forall @t7 (=> (tptp.distinct_lines @t1 @t4) (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.37/0.56 (assume @p6 (forall @t7 (=> @t10 (or @t9 (tptp.convergent_lines @t4 @t3))))) % 0.37/0.56 (assume @p7 (forall @t12 (=> @t6 (not (tptp.apart_point_and_line @t1 @t11))))) % 0.37/0.56 (assume @p8 (forall @t12 (=> @t6 (not (tptp.apart_point_and_line @t4 @t11))))) % 0.37/0.56 (assume @p9 @t15) % 0.37/0.56 (assume @p10 @t17) % 0.37/0.56 (assume @p11 @t28) % 0.37/0.56 (assume @p12 (forall @t7 (=> @t29 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.37/0.56 (assume @p13 (forall @t7 (=> @t29 (or @t8 (tptp.apart_point_and_line @t1 @t3))))) % 0.37/0.56 (assume @p14 @t31) % 0.37/0.56 (assume @p15 @t38) % 0.37/0.56 (assume @p16 true) % 0.37/0.56 (step @p17 :rule aci_norm :args ((= (or (or @t40 @t39) @t24) @t41))) % 0.37/0.56 (step @p18 :rule refl :args (@t24)) % 0.37/0.56 (step @p19 :rule bool-and-de-morgan :args (@t6 @t25 true)) % 0.37/0.56 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or (not @t26) @t24))) % 0.37/0.56 (step @p21 :rule trans :premises (@p20 @p17)) % 0.37/0.56 (step @p22 :rule bool-impl-elim :args (@t26 @t24)) % 0.37/0.56 (step @p23 :rule trans :premises (@p22 @p21)) % 0.37/0.56 (step @p24 :rule cong :premises (@p23) :args (@t28)) % 0.37/0.56 (step @p25 :rule eq_resolve :premises (@p11 @p24)) % 0.37/0.56 (step @p26 :rule aci_norm :args ((= (or @t42 @t30) (or @t42 @t8 @t9)))) % 0.37/0.56 (step @p27 :rule bool-impl-elim :args (@t10 @t30)) % 0.37/0.56 (step @p28 :rule trans :premises (@p27 @p26)) % 0.37/0.56 (step @p29 :rule cong :premises (@p28) :args (@t31)) % 0.37/0.56 (step @p30 :rule eq_resolve :premises (@p14 @p29)) % 0.37/0.56 (step @p31 :rule instantiate :premises (@p30) :args ((@list @t46 @t47 @t46))) % 0.37/0.56 (step @p32 :rule instantiate :premises (@p3) :args ((@list @t46))) % 0.37/0.56 (step @p33 :rule aci_norm :args ((= (or (or @t40 @t43 @t23 @t22) @t32) @t44))) % 0.37/0.56 (step @p34 :rule refl :args (@t32)) % 0.37/0.56 (step @p35 :rule bool-double-not-elim :args (@t22)) % 0.37/0.56 (step @p36 :rule bool-double-not-elim :args (@t23)) % 0.37/0.56 (step @p37 :rule refl :args (@t43)) % 0.37/0.56 (step @p38 :rule refl :args (@t40)) % 0.37/0.56 (step @p39 :rule nary_cong :premises (@p38 @p37 @p36 @p35) :args (@t50)) % 0.37/0.56 (step @p40 :rule aci_norm :args ((= (or @t40 (or @t43 (or @t49 @t48))) @t50))) % 0.37/0.56 (step @p41 :rule trans :premises (@p40 @p39)) % 0.37/0.56 (step @p42 :rule bool-and-de-morgan :args (@t34 @t33 true)) % 0.37/0.56 (step @p43 :rule nary_cong :premises (@p37 @p42) :args ((or @t43 (not (and @t34 @t33))))) % 0.37/0.56 (step @p44 :rule bool-and-de-morgan :args (@t35 @t34 (and @t33))) % 0.37/0.56 (step @p45 :rule trans :premises (@p44 @p43)) % 0.37/0.56 (step @p46 :rule nary_cong :premises (@p38 @p45) :args ((or @t40 (not (and @t35 @t34 @t33))))) % 0.37/0.56 (step @p47 :rule bool-and-de-morgan :args (@t6 @t35 (and @t34 @t33))) % 0.37/0.56 (step @p48 :rule trans :premises (@p47 @p46)) % 0.37/0.56 (step @p49 :rule trans :premises (@p48 @p41)) % 0.37/0.56 (step @p50 :rule nary_cong :premises (@p49 @p34) :args ((or (not @t36) @t32))) % 0.37/0.56 (step @p51 :rule trans :premises (@p50 @p33)) % 0.37/0.56 (step @p52 :rule bool-impl-elim :args (@t36 @t32)) % 0.37/0.56 (step @p53 :rule trans :premises (@p52 @p51)) % 0.37/0.56 (step @p54 :rule cong :premises (@p53) :args (@t37)) % 0.37/0.56 (step @p55 :rule cong :premises (@p54) :args (@t38)) % 0.37/0.56 (step @p56 :rule eq_resolve :premises (@p15 @p55)) % 0.37/0.56 (step @p57 :rule skolemize :premises (@p56)) % 0.37/0.56 (step @p58 :rule bool-double-not-elim :args (@t51)) % 0.37/0.56 (step @p59 :rule refl :args (@t59)) % 0.37/0.56 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t59 (not @t58)))) % 0.37/0.56 (step @p61 :rule cnf_or_neg :args (@t59 1)) % 0.37/0.56 (step @p62 :rule eq_resolve :premises (@p61 @p60)) % 0.37/0.56 (step @p63 :rule reordering :premises (@p62) :args ((or @t51 @t59))) % 0.37/0.56 (step @p64 :rule chain_m_resolution :premises (@p63 @p57) :args (@t51 @t60 @t61)) % 0.37/0.56 (step @p65 :rule cnf_or_pos :args (@t64)) % 0.37/0.56 (step @p66 :rule reordering :premises (@p65) :args ((or @t58 @t62 @t63 (not @t64)))) % 0.37/0.56 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p32 @p31) :args (@t63 (@list false true false) (@list @t51 @t62 @t64))) % 0.37/0.56 (step @p68 :rule bool-impl-elim :args (@t10 @t16)) % 0.37/0.56 (step @p69 :rule cong :premises (@p68) :args (@t17)) % 0.37/0.56 (step @p70 :rule eq_resolve :premises (@p10 @p69)) % 0.37/0.56 (step @p71 :rule instantiate :premises (@p70) :args (@t65)) % 0.37/0.56 (step @p72 :rule cnf_or_pos :args (@t68)) % 0.37/0.56 (step @p73 :rule reordering :premises (@p72) :args ((or @t58 @t67 (not @t68)))) % 0.37/0.56 (step @p74 :rule chain_m_resolution :premises (@p73 @p64 @p71) :args (@t67 @t69 (@list @t51 @t68))) % 0.37/0.56 (step @p75 :rule bool-impl-elim :args (@t10 @t14)) % 0.37/0.56 (step @p76 :rule cong :premises (@p75) :args (@t15)) % 0.37/0.56 (step @p77 :rule eq_resolve :premises (@p9 @p76)) % 0.37/0.56 (step @p78 :rule instantiate :premises (@p77) :args (@t65)) % 0.37/0.56 (step @p79 :rule cnf_or_pos :args (@t72)) % 0.37/0.56 (step @p80 :rule reordering :premises (@p79) :args ((or @t58 @t71 (not @t72)))) % 0.37/0.56 (step @p81 :rule chain_m_resolution :premises (@p80 @p64 @p78) :args (@t71 @t69 (@list @t51 @t72))) % 0.37/0.56 (step @p82 :rule bool-double-not-elim :args (@t54)) % 0.37/0.56 (step @p83 :rule nary_cong :premises (@p59 @p82) :args ((or @t59 (not @t55)))) % 0.37/0.56 (step @p84 :rule cnf_or_neg :args (@t59 4)) % 0.37/0.56 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.37/0.56 (step @p86 :rule reordering :premises (@p85) :args ((or @t54 @t59))) % 0.37/0.56 (step @p87 :rule chain_m_resolution :premises (@p86 @p57) :args (@t54 @t60 @t61)) % 0.37/0.56 (step @p88 :rule cnf_or_neg :args (@t59 3)) % 0.37/0.56 (step @p89 :rule chain_m_resolution :premises (@p88 @p57) :args ((not @t56) @t60 @t61)) % 0.37/0.56 (step @p90 :rule cnf_or_neg :args (@t59 2)) % 0.37/0.56 (step @p91 :rule chain_m_resolution :premises (@p90 @p57) :args ((not @t57) @t60 @t61)) % 0.37/0.56 (step @p92 :rule cnf_or_pos :args (@t74)) % 0.37/0.56 (step @p93 :rule reordering :premises (@p92) :args ((or @t57 @t56 @t55 @t70 @t66 @t73 @t75))) % 0.37/0.56 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p89 @p87 @p81 @p74 @p67) :args (@t75 (@list true true false true true false) (@list @t57 @t56 @t54 @t70 @t66 @t63))) % 0.37/0.56 (assume-push @p101 @t76) % 0.37/0.56 (step @p96 :rule instantiate :premises (@p25) :args ((@list @t53 @t52 @t47 @t46))) % 0.37/0.56 (step-pop @p102 :rule scope :premises (@p96)) % 0.37/0.56 (step @p97 :rule process_scope :premises (@p102) :args (@t74)) % 0.37/0.56 (step @p99 :rule implies_elim :premises (@p97)) % 0.37/0.56 (step @p100 false :rule chain_m_resolution :premises (@p99 @p94 @p25) :args (false (@list true false) (@list @t74 @t76))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------