%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO186+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 : n010.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 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO186+2 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n010.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Mon Jun 1 23:39:10 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.56 % SZS status Theorem % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (declare-sort $$unsorted 0) % 0.39/0.56 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.56 (define @t2 () (@list @t1)) % 0.39/0.56 (define @t3 () (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.39/0.56 (define @t4 () (@var "Z" $$unsorted)) % 0.39/0.56 (define @t5 () (@var "Y" $$unsorted)) % 0.39/0.56 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.39/0.56 (define @t7 () (tptp.distinct_points @t1 @t5)) % 0.39/0.56 (define @t8 () (@list @t1 @t5 @t4)) % 0.39/0.56 (define @t9 () (tptp.distinct_lines @t5 @t4)) % 0.39/0.56 (define @t10 () (tptp.distinct_lines @t1 @t5)) % 0.39/0.56 (define @t11 () (tptp.convergent_lines @t1 @t5)) % 0.39/0.56 (define @t12 () (tptp.distinct_points @t4 (tptp.intersection_point @t1 @t5))) % 0.39/0.56 (define @t13 () (tptp.apart_point_and_line @t4 @t5)) % 0.39/0.56 (define @t14 () (tptp.apart_point_and_line @t4 @t1)) % 0.39/0.56 (define @t15 () (or @t14 @t13)) % 0.39/0.56 (define @t16 () (=> @t15 @t12)) % 0.39/0.56 (define @t17 () (forall @t8 (=> @t11 @t16))) % 0.39/0.56 (define @t18 () (@var "V" $$unsorted)) % 0.39/0.56 (define @t19 () (tptp.apart_point_and_line @t5 @t18)) % 0.39/0.56 (define @t20 () (@var "U" $$unsorted)) % 0.39/0.56 (define @t21 () (tptp.apart_point_and_line @t5 @t20)) % 0.39/0.56 (define @t22 () (tptp.apart_point_and_line @t1 @t18)) % 0.39/0.56 (define @t23 () (tptp.apart_point_and_line @t1 @t20)) % 0.39/0.56 (define @t24 () (or @t23 @t22 @t21 @t19)) % 0.39/0.56 (define @t25 () (tptp.distinct_lines @t20 @t18)) % 0.39/0.56 (define @t26 () (and @t7 @t25)) % 0.39/0.56 (define @t27 () (@list @t1 @t5 @t20 @t18)) % 0.39/0.56 (define @t28 () (forall @t27 (=> @t26 @t24))) % 0.39/0.56 (define @t29 () (tptp.apart_point_and_line @t1 @t5)) % 0.39/0.56 (define @t30 () (forall (@list @t1 @t5) (=> @t11 @t10))) % 0.39/0.56 (define @t31 () (not (tptp.distinct_points @t1 (tptp.intersection_point @t20 @t18)))) % 0.39/0.56 (define @t32 () (not @t22)) % 0.39/0.56 (define @t33 () (not @t23)) % 0.39/0.56 (define @t34 () (tptp.convergent_lines @t20 @t18)) % 0.39/0.56 (define @t35 () (and @t7 @t34 @t33 @t32)) % 0.39/0.56 (define @t36 () (forall @t27 (=> @t35 @t31))) % 0.39/0.56 (define @t37 () (not @t36)) % 0.39/0.56 (define @t38 () (and (not @t14) (not @t13))) % 0.39/0.56 (define @t39 () (not @t11)) % 0.39/0.56 (define @t40 () (not @t34)) % 0.39/0.56 (define @t41 () (not @t7)) % 0.39/0.56 (define @t42 () (or @t41 @t40 @t23 @t22 @t31)) % 0.39/0.56 (define @t43 () (forall @t27 @t42)) % 0.39/0.56 (define @t44 () (@quantifiers_skolemize @t43 3)) % 0.39/0.56 (define @t45 () (@quantifiers_skolemize @t43 2)) % 0.39/0.56 (define @t46 () (tptp.intersection_point @t45 @t44)) % 0.39/0.56 (define @t47 () (tptp.apart_point_and_line @t46 @t44)) % 0.39/0.56 (define @t48 () (not @t47)) % 0.39/0.56 (define @t49 () (tptp.apart_point_and_line @t46 @t45)) % 0.39/0.56 (define @t50 () (not @t49)) % 0.39/0.56 (define @t51 () (and @t50 @t48)) % 0.39/0.56 (define @t52 () (not @t51)) % 0.39/0.56 (define @t53 () (not @t32)) % 0.39/0.56 (define @t54 () (not @t33)) % 0.39/0.56 (define @t55 () (or @t41 @t40 @t54 @t53)) % 0.39/0.56 (define @t56 () (@quantifiers_skolemize @t43 0)) % 0.39/0.56 (define @t57 () (tptp.distinct_points @t56 @t46)) % 0.39/0.56 (define @t58 () (not @t57)) % 0.39/0.56 (define @t59 () (tptp.apart_point_and_line @t56 @t44)) % 0.39/0.56 (define @t60 () (tptp.apart_point_and_line @t56 @t45)) % 0.39/0.56 (define @t61 () (tptp.convergent_lines @t45 @t44)) % 0.39/0.56 (define @t62 () (not @t61)) % 0.39/0.56 (define @t63 () (or (not (tptp.distinct_points @t56 (@quantifiers_skolemize @t43 1))) @t62 @t60 @t59 @t58)) % 0.39/0.56 (define @t64 () (@list true)) % 0.39/0.56 (define @t65 () (@list @t63)) % 0.39/0.56 (define @t66 () (tptp.distinct_lines @t45 @t44)) % 0.39/0.56 (define @t67 () (or @t62 @t66)) % 0.39/0.56 (define @t68 () (@list false false)) % 0.39/0.56 (define @t69 () (not @t25)) % 0.39/0.56 (define @t70 () (not @t66)) % 0.39/0.56 (define @t71 () (or @t58 @t70 @t60 @t59 @t49 @t47)) % 0.39/0.56 (define @t72 () (tptp.distinct_points @t46 @t46)) % 0.39/0.56 (define @t73 () (or @t62 @t51 @t72)) % 0.39/0.56 (assume @p1 @t3) % 0.39/0.56 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.39/0.56 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.39/0.56 (assume @p4 (forall @t8 (=> @t7 (or @t6 (tptp.distinct_points @t5 @t4))))) % 0.39/0.56 (assume @p5 (forall @t8 (=> @t10 (or (tptp.distinct_lines @t1 @t4) @t9)))) % 0.39/0.56 (assume @p6 (forall @t8 (=> @t11 (or (tptp.convergent_lines @t1 @t4) (tptp.convergent_lines @t5 @t4))))) % 0.39/0.56 (assume @p7 (forall @t8 (=> @t7 (=> (tptp.apart_point_and_line @t4 (tptp.line_connecting @t1 @t5)) (and (tptp.distinct_points @t4 @t1) (tptp.distinct_points @t4 @t5)))))) % 0.39/0.56 (assume @p8 @t17) % 0.39/0.56 (assume @p9 @t28) % 0.39/0.56 (assume @p10 (forall @t8 (=> @t29 (or @t6 @t13)))) % 0.39/0.56 (assume @p11 (forall @t8 (=> @t29 (or @t9 (tptp.apart_point_and_line @t1 @t4))))) % 0.39/0.56 (assume @p12 @t30) % 0.39/0.56 (assume @p13 @t37) % 0.39/0.56 (assume @p14 true) % 0.39/0.56 (step @p15 :rule aci_norm :args ((= (or @t39 (or @t38 @t12)) (or @t39 @t38 @t12)))) % 0.39/0.56 (step @p16 :rule refl :args (@t12)) % 0.39/0.56 (step @p17 :rule bool-or-de-morgan :args (@t14 @t13 false)) % 0.39/0.56 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or (not @t15) @t12))) % 0.39/0.56 (step @p19 :rule bool-impl-elim :args (@t15 @t12)) % 0.39/0.56 (step @p20 :rule trans :premises (@p19 @p18)) % 0.39/0.56 (step @p21 :rule refl :args (@t39)) % 0.39/0.56 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or @t39 @t16))) % 0.39/0.56 (step @p23 :rule trans :premises (@p22 @p15)) % 0.39/0.56 (step @p24 :rule bool-impl-elim :args (@t11 @t16)) % 0.39/0.56 (step @p25 :rule trans :premises (@p24 @p23)) % 0.39/0.56 (step @p26 :rule cong :premises (@p25) :args (@t17)) % 0.39/0.56 (step @p27 :rule eq_resolve :premises (@p8 @p26)) % 0.39/0.56 (step @p28 :rule instantiate :premises (@p27) :args ((@list @t45 @t44 @t46))) % 0.39/0.56 (step @p29 :rule cnf_and_pos :args (@t51 0)) % 0.39/0.56 (step @p30 :rule reordering :premises (@p29) :args ((or @t50 @t52))) % 0.39/0.56 (step @p31 :rule cnf_and_pos :args (@t51 1)) % 0.39/0.56 (step @p32 :rule reordering :premises (@p31) :args ((or @t48 @t52))) % 0.39/0.56 (step @p33 :rule aci_norm :args ((= (or (or @t41 @t40 @t23 @t22) @t31) @t42))) % 0.39/0.56 (step @p34 :rule refl :args (@t31)) % 0.39/0.56 (step @p35 :rule bool-double-not-elim :args (@t22)) % 0.39/0.56 (step @p36 :rule bool-double-not-elim :args (@t23)) % 0.39/0.56 (step @p37 :rule refl :args (@t40)) % 0.39/0.56 (step @p38 :rule refl :args (@t41)) % 0.39/0.56 (step @p39 :rule nary_cong :premises (@p38 @p37 @p36 @p35) :args (@t55)) % 0.39/0.56 (step @p40 :rule aci_norm :args ((= (or @t41 (or @t40 (or @t54 @t53))) @t55))) % 0.39/0.56 (step @p41 :rule trans :premises (@p40 @p39)) % 0.39/0.56 (step @p42 :rule bool-and-de-morgan :args (@t33 @t32 true)) % 0.39/0.56 (step @p43 :rule nary_cong :premises (@p37 @p42) :args ((or @t40 (not (and @t33 @t32))))) % 0.39/0.56 (step @p44 :rule bool-and-de-morgan :args (@t34 @t33 (and @t32))) % 0.39/0.56 (step @p45 :rule trans :premises (@p44 @p43)) % 0.39/0.56 (step @p46 :rule nary_cong :premises (@p38 @p45) :args ((or @t41 (not (and @t34 @t33 @t32))))) % 0.39/0.56 (step @p47 :rule bool-and-de-morgan :args (@t7 @t34 (and @t33 @t32))) % 0.39/0.56 (step @p48 :rule trans :premises (@p47 @p46)) % 0.39/0.56 (step @p49 :rule trans :premises (@p48 @p41)) % 0.39/0.56 (step @p50 :rule nary_cong :premises (@p49 @p34) :args ((or (not @t35) @t31))) % 0.39/0.56 (step @p51 :rule trans :premises (@p50 @p33)) % 0.39/0.56 (step @p52 :rule bool-impl-elim :args (@t35 @t31)) % 0.39/0.56 (step @p53 :rule trans :premises (@p52 @p51)) % 0.39/0.56 (step @p54 :rule cong :premises (@p53) :args (@t36)) % 0.39/0.56 (step @p55 :rule cong :premises (@p54) :args (@t37)) % 0.39/0.56 (step @p56 :rule eq_resolve :premises (@p13 @p55)) % 0.39/0.56 (step @p57 :rule skolemize :premises (@p56)) % 0.39/0.56 (step @p58 :rule cnf_or_neg :args (@t63 2)) % 0.39/0.56 (step @p59 :rule chain_m_resolution :premises (@p58 @p57) :args ((not @t60) @t64 @t65)) % 0.39/0.56 (step @p60 :rule cnf_or_neg :args (@t63 3)) % 0.39/0.56 (step @p61 :rule chain_m_resolution :premises (@p60 @p57) :args ((not @t59) @t64 @t65)) % 0.39/0.56 (step @p62 :rule bool-double-not-elim :args (@t57)) % 0.39/0.56 (step @p63 :rule refl :args (@t63)) % 0.39/0.56 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or @t63 (not @t58)))) % 0.39/0.56 (step @p65 :rule cnf_or_neg :args (@t63 4)) % 0.39/0.56 (step @p66 :rule eq_resolve :premises (@p65 @p64)) % 0.39/0.56 (step @p67 :rule reordering :premises (@p66) :args ((or @t57 @t63))) % 0.39/0.56 (step @p68 :rule chain_m_resolution :premises (@p67 @p57) :args (@t57 @t64 @t65)) % 0.39/0.56 (step @p69 :rule bool-impl-elim :args (@t11 @t10)) % 0.39/0.56 (step @p70 :rule cong :premises (@p69) :args (@t30)) % 0.39/0.56 (step @p71 :rule eq_resolve :premises (@p12 @p70)) % 0.39/0.56 (step @p72 :rule instantiate :premises (@p71) :args ((@list @t45 @t44))) % 0.39/0.56 (step @p73 :rule bool-double-not-elim :args (@t61)) % 0.39/0.56 (step @p74 :rule nary_cong :premises (@p63 @p73) :args ((or @t63 (not @t62)))) % 0.39/0.56 (step @p75 :rule cnf_or_neg :args (@t63 1)) % 0.39/0.56 (step @p76 :rule eq_resolve :premises (@p75 @p74)) % 0.39/0.56 (step @p77 :rule reordering :premises (@p76) :args ((or @t61 @t63))) % 0.39/0.56 (step @p78 :rule chain_m_resolution :premises (@p77 @p57) :args (@t61 @t64 @t65)) % 0.39/0.56 (step @p79 :rule cnf_or_pos :args (@t67)) % 0.39/0.56 (step @p80 :rule reordering :premises (@p79) :args ((or @t62 @t66 (not @t67)))) % 0.39/0.56 (step @p81 :rule chain_m_resolution :premises (@p80 @p78 @p72) :args (@t66 @t68 (@list @t61 @t67))) % 0.39/0.56 (step @p82 :rule aci_norm :args ((= (or (or @t41 @t69) @t24) (or @t41 @t69 @t23 @t22 @t21 @t19)))) % 0.39/0.56 (step @p83 :rule refl :args (@t24)) % 0.39/0.56 (step @p84 :rule bool-and-de-morgan :args (@t7 @t25 true)) % 0.39/0.56 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or (not @t26) @t24))) % 0.39/0.56 (step @p86 :rule trans :premises (@p85 @p82)) % 0.39/0.56 (step @p87 :rule bool-impl-elim :args (@t26 @t24)) % 0.39/0.56 (step @p88 :rule trans :premises (@p87 @p86)) % 0.39/0.56 (step @p89 :rule cong :premises (@p88) :args (@t28)) % 0.39/0.56 (step @p90 :rule eq_resolve :premises (@p9 @p89)) % 0.39/0.56 (step @p91 :rule instantiate :premises (@p90) :args ((@list @t56 @t46 @t45 @t44))) % 0.39/0.56 (step @p92 :rule cnf_or_pos :args (@t71)) % 0.39/0.56 (step @p93 :rule reordering :premises (@p92) :args ((or @t60 @t59 @t58 @t70 @t49 @t47 (not @t71)))) % 0.39/0.56 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p81 @p68 @p61 @p59 @p32 @p30) :args (@t52 (@list false false false true true true true) (@list @t71 @t66 @t57 @t59 @t60 @t47 @t49))) % 0.39/0.56 (step @p95 :rule cnf_or_pos :args (@t73)) % 0.39/0.56 (step @p96 :rule reordering :premises (@p95) :args ((or @t62 @t72 @t51 (not @t73)))) % 0.39/0.56 (step @p97 :rule chain_m_resolution :premises (@p96 @p78 @p94 @p28) :args (@t72 (@list false true false) (@list @t61 @t51 @t73))) % 0.39/0.56 (assume-push @p104 @t3) % 0.39/0.56 (step @p99 :rule instantiate :premises (@p1) :args ((@list @t46))) % 0.39/0.56 (step-pop @p105 :rule scope :premises (@p99)) % 0.39/0.56 (step @p100 :rule process_scope :premises (@p105) :args ((not @t72))) % 0.39/0.56 (step @p102 :rule implies_elim :premises (@p100)) % 0.39/0.56 (step @p103 false :rule chain_m_resolution :premises (@p102 @p97 @p1) :args (false @t68 (@list @t72 @t3))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------