%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO179+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 : n003.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 08:16:34 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO179+2 : 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 % 0.15/0.34 % Computer : n003.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon Jun 1 23:38:44 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.56 (define @t2 () (@list @t1)) % 0.38/0.56 (define @t3 () (@var "Z" $$unsorted)) % 0.38/0.56 (define @t4 () (@var "Y" $$unsorted)) % 0.38/0.56 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.38/0.56 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.38/0.56 (define @t7 () (@list @t1 @t4 @t3)) % 0.38/0.56 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.38/0.56 (define @t9 () (tptp.distinct_lines @t1 @t4)) % 0.38/0.56 (define @t10 () (tptp.convergent_lines @t1 @t4)) % 0.38/0.56 (define @t11 () (and (tptp.distinct_points @t3 @t1) (tptp.distinct_points @t3 @t4))) % 0.38/0.56 (define @t12 () (tptp.line_connecting @t1 @t4)) % 0.38/0.56 (define @t13 () (tptp.apart_point_and_line @t3 @t12)) % 0.38/0.56 (define @t14 () (=> @t13 @t11)) % 0.38/0.56 (define @t15 () (forall @t7 (=> @t6 @t14))) % 0.38/0.56 (define @t16 () (tptp.apart_point_and_line @t3 @t4)) % 0.38/0.56 (define @t17 () (@var "V" $$unsorted)) % 0.38/0.56 (define @t18 () (@var "U" $$unsorted)) % 0.38/0.56 (define @t19 () (tptp.apart_point_and_line @t1 @t4)) % 0.38/0.56 (define @t20 () (tptp.apart_point_and_line @t1 @t3)) % 0.38/0.56 (define @t21 () (or @t8 @t20)) % 0.38/0.56 (define @t22 () (forall @t7 (=> @t19 @t21))) % 0.38/0.56 (define @t23 () (and (tptp.distinct_lines @t12 (tptp.line_connecting @t3 @t1)) (tptp.distinct_lines @t12 (tptp.line_connecting @t3 @t4)))) % 0.38/0.56 (define @t24 () (and @t6 @t13)) % 0.38/0.56 (define @t25 () (forall @t7 (=> @t24 @t23))) % 0.38/0.56 (define @t26 () (not @t25)) % 0.38/0.56 (define @t27 () (not @t13)) % 0.38/0.56 (define @t28 () (not @t6)) % 0.38/0.56 (define @t29 () (or @t28 @t27 @t23)) % 0.38/0.56 (define @t30 () (forall @t7 @t29)) % 0.38/0.56 (define @t31 () (@quantifiers_skolemize @t30 1)) % 0.38/0.56 (define @t32 () (@quantifiers_skolemize @t30 2)) % 0.38/0.56 (define @t33 () (tptp.line_connecting @t32 @t31)) % 0.38/0.56 (define @t34 () (@quantifiers_skolemize @t30 0)) % 0.38/0.56 (define @t35 () (tptp.line_connecting @t34 @t31)) % 0.38/0.56 (define @t36 () (tptp.distinct_lines @t35 @t33)) % 0.38/0.56 (define @t37 () (tptp.line_connecting @t32 @t34)) % 0.38/0.56 (define @t38 () (tptp.distinct_lines @t35 @t37)) % 0.38/0.56 (define @t39 () (and @t38 @t36)) % 0.38/0.56 (define @t40 () (tptp.apart_point_and_line @t32 @t35)) % 0.38/0.56 (define @t41 () (not @t40)) % 0.38/0.56 (define @t42 () (tptp.distinct_points @t34 @t31)) % 0.38/0.56 (define @t43 () (not @t42)) % 0.38/0.56 (define @t44 () (or @t43 @t41 @t39)) % 0.38/0.56 (define @t45 () (@list true)) % 0.38/0.56 (define @t46 () (@list @t44)) % 0.38/0.56 (define @t47 () (not @t19)) % 0.38/0.56 (define @t48 () (tptp.distinct_points @t32 @t34)) % 0.38/0.56 (define @t49 () (tptp.distinct_points @t32 @t32)) % 0.38/0.56 (define @t50 () (and @t49 @t48)) % 0.38/0.56 (define @t51 () (not @t50)) % 0.38/0.56 (define @t52 () (@list @t49)) % 0.38/0.56 (define @t53 () (tptp.distinct_points @t32 @t31)) % 0.38/0.56 (define @t54 () (and @t48 @t53)) % 0.38/0.56 (define @t55 () (or @t43 @t41 @t54)) % 0.38/0.56 (define @t56 () (not @t54)) % 0.38/0.56 (define @t57 () (@list false)) % 0.38/0.56 (define @t58 () (@list @t54)) % 0.38/0.56 (define @t59 () (tptp.apart_point_and_line @t32 @t37)) % 0.38/0.56 (define @t60 () (not @t59)) % 0.38/0.56 (define @t61 () (not @t48)) % 0.38/0.56 (define @t62 () (or @t61 @t60 @t50)) % 0.38/0.56 (define @t63 () (@list false true false)) % 0.38/0.56 (define @t64 () (or @t41 @t38 @t59)) % 0.38/0.56 (define @t65 () (and @t49 @t53)) % 0.38/0.56 (define @t66 () (not @t65)) % 0.38/0.56 (define @t67 () (tptp.apart_point_and_line @t32 @t33)) % 0.38/0.56 (define @t68 () (not @t67)) % 0.38/0.56 (define @t69 () (not @t53)) % 0.38/0.56 (define @t70 () (or @t69 @t68 @t65)) % 0.38/0.56 (define @t71 () (or @t41 @t36 @t67)) % 0.38/0.56 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.38/0.56 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.38/0.56 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.38/0.56 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.38/0.56 (assume @p5 (forall @t7 (=> @t9 (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.38/0.56 (assume @p6 (forall @t7 (=> @t10 (or (tptp.convergent_lines @t1 @t3) (tptp.convergent_lines @t4 @t3))))) % 0.38/0.56 (assume @p7 @t15) % 0.38/0.56 (assume @p8 (forall @t7 (=> @t10 (=> (or (tptp.apart_point_and_line @t3 @t1) @t16) (tptp.distinct_points @t3 (tptp.intersection_point @t1 @t4)))))) % 0.38/0.56 (assume @p9 (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))))) % 0.38/0.56 (assume @p10 (forall @t7 (=> @t19 (or @t5 @t16)))) % 0.38/0.56 (assume @p11 @t22) % 0.38/0.56 (assume @p12 (forall (@list @t1 @t4) (=> @t10 @t9))) % 0.38/0.56 (assume @p13 @t26) % 0.38/0.56 (assume @p14 true) % 0.38/0.56 (step @p15 :rule aci_norm :args ((= (or (or @t28 @t27) @t23) @t29))) % 0.38/0.56 (step @p16 :rule refl :args (@t23)) % 0.38/0.56 (step @p17 :rule bool-and-de-morgan :args (@t6 @t13 true)) % 0.38/0.56 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or (not @t24) @t23))) % 0.38/0.56 (step @p19 :rule trans :premises (@p18 @p15)) % 0.38/0.56 (step @p20 :rule bool-impl-elim :args (@t24 @t23)) % 0.38/0.56 (step @p21 :rule trans :premises (@p20 @p19)) % 0.38/0.56 (step @p22 :rule cong :premises (@p21) :args (@t25)) % 0.38/0.56 (step @p23 :rule cong :premises (@p22) :args (@t26)) % 0.38/0.56 (step @p24 :rule eq_resolve :premises (@p13 @p23)) % 0.38/0.56 (step @p25 :rule skolemize :premises (@p24)) % 0.38/0.56 (step @p26 :rule cnf_or_neg :args (@t44 2)) % 0.38/0.56 (step @p27 :rule chain_m_resolution :premises (@p26 @p25) :args ((not @t39) @t45 @t46)) % 0.38/0.56 (step @p28 :rule aci_norm :args ((= (or @t47 @t21) (or @t47 @t8 @t20)))) % 0.38/0.56 (step @p29 :rule bool-impl-elim :args (@t19 @t21)) % 0.38/0.56 (step @p30 :rule trans :premises (@p29 @p28)) % 0.38/0.56 (step @p31 :rule cong :premises (@p30) :args (@t22)) % 0.38/0.56 (step @p32 :rule eq_resolve :premises (@p11 @p31)) % 0.38/0.56 (step @p33 :rule instantiate :premises (@p32) :args ((@list @t32 @t35 @t37))) % 0.38/0.56 (step @p34 :rule aci_norm :args ((= (or @t28 (or @t27 @t11)) (or @t28 @t27 @t11)))) % 0.38/0.56 (step @p35 :rule bool-impl-elim :args (@t13 @t11)) % 0.38/0.56 (step @p36 :rule refl :args (@t28)) % 0.38/0.56 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or @t28 @t14))) % 0.38/0.56 (step @p38 :rule trans :premises (@p37 @p34)) % 0.38/0.56 (step @p39 :rule bool-impl-elim :args (@t6 @t14)) % 0.38/0.56 (step @p40 :rule trans :premises (@p39 @p38)) % 0.38/0.56 (step @p41 :rule cong :premises (@p40) :args (@t15)) % 0.38/0.56 (step @p42 :rule eq_resolve :premises (@p7 @p41)) % 0.38/0.56 (step @p43 :rule instantiate :premises (@p42) :args ((@list @t32 @t34 @t32))) % 0.38/0.56 (step @p44 :rule instantiate :premises (@p1) :args ((@list @t32))) % 0.38/0.56 (step @p45 :rule cnf_and_pos :args (@t50 0)) % 0.38/0.56 (step @p46 :rule reordering :premises (@p45) :args ((or @t49 @t51))) % 0.38/0.56 (step @p47 :rule chain_m_resolution :premises (@p46 @p44) :args (@t51 @t45 @t52)) % 0.38/0.56 (step @p48 :rule instantiate :premises (@p42) :args ((@list @t34 @t31 @t32))) % 0.38/0.56 (step @p49 :rule bool-double-not-elim :args (@t40)) % 0.38/0.56 (step @p50 :rule refl :args (@t44)) % 0.38/0.56 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t44 (not @t41)))) % 0.38/0.56 (step @p52 :rule cnf_or_neg :args (@t44 1)) % 0.38/0.56 (step @p53 :rule eq_resolve :premises (@p52 @p51)) % 0.38/0.56 (step @p54 :rule reordering :premises (@p53) :args ((or @t40 @t44))) % 0.38/0.56 (step @p55 :rule chain_m_resolution :premises (@p54 @p25) :args (@t40 @t45 @t46)) % 0.38/0.56 (step @p56 :rule bool-double-not-elim :args (@t42)) % 0.38/0.56 (step @p57 :rule nary_cong :premises (@p50 @p56) :args ((or @t44 (not @t43)))) % 0.38/0.56 (step @p58 :rule cnf_or_neg :args (@t44 0)) % 0.38/0.56 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 0.38/0.56 (step @p60 :rule reordering :premises (@p59) :args ((or @t42 @t44))) % 0.38/0.56 (step @p61 :rule chain_m_resolution :premises (@p60 @p25) :args (@t42 @t45 @t46)) % 0.38/0.56 (step @p62 :rule cnf_or_pos :args (@t55)) % 0.38/0.56 (step @p63 :rule reordering :premises (@p62) :args ((or @t43 @t41 @t54 (not @t55)))) % 0.38/0.56 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p55 @p48) :args (@t54 (@list false false false) (@list @t42 @t40 @t55))) % 0.38/0.56 (step @p65 :rule cnf_and_pos :args (@t54 0)) % 0.38/0.56 (step @p66 :rule reordering :premises (@p65) :args ((or @t48 @t56))) % 0.38/0.56 (step @p67 :rule chain_m_resolution :premises (@p66 @p64) :args (@t48 @t57 @t58)) % 0.38/0.56 (step @p68 :rule cnf_or_pos :args (@t62)) % 0.38/0.56 (step @p69 :rule reordering :premises (@p68) :args ((or @t61 @t60 @t50 (not @t62)))) % 0.38/0.56 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p47 @p43) :args (@t60 @t63 (@list @t48 @t50 @t62))) % 0.38/0.56 (step @p71 :rule cnf_or_pos :args (@t64)) % 0.38/0.56 (step @p72 :rule reordering :premises (@p71) :args ((or @t41 @t38 @t59 (not @t64)))) % 0.38/0.56 (step @p73 :rule chain_m_resolution :premises (@p72 @p55 @p70 @p33) :args (@t38 @t63 (@list @t40 @t59 @t64))) % 0.38/0.56 (step @p74 :rule instantiate :premises (@p32) :args ((@list @t32 @t35 @t33))) % 0.38/0.56 (step @p75 :rule instantiate :premises (@p42) :args ((@list @t32 @t31 @t32))) % 0.38/0.56 (step @p76 :rule cnf_and_pos :args (@t65 0)) % 0.38/0.56 (step @p77 :rule reordering :premises (@p76) :args ((or @t49 @t66))) % 0.38/0.56 (step @p78 :rule chain_m_resolution :premises (@p77 @p44) :args (@t66 @t45 @t52)) % 0.38/0.56 (step @p79 :rule cnf_and_pos :args (@t54 1)) % 0.38/0.56 (step @p80 :rule reordering :premises (@p79) :args ((or @t53 @t56))) % 0.38/0.56 (step @p81 :rule chain_m_resolution :premises (@p80 @p64) :args (@t53 @t57 @t58)) % 0.38/0.56 (step @p82 :rule cnf_or_pos :args (@t70)) % 0.38/0.56 (step @p83 :rule reordering :premises (@p82) :args ((or @t69 @t68 @t65 (not @t70)))) % 0.38/0.56 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p78 @p75) :args (@t68 @t63 (@list @t53 @t65 @t70))) % 0.38/0.56 (step @p85 :rule cnf_or_pos :args (@t71)) % 0.38/0.56 (step @p86 :rule reordering :premises (@p85) :args ((or @t41 @t36 @t67 (not @t71)))) % 0.38/0.56 (step @p87 :rule chain_m_resolution :premises (@p86 @p55 @p84 @p74) :args (@t36 @t63 (@list @t40 @t67 @t71))) % 0.38/0.56 (step @p88 :rule cnf_and_neg :args (@t39)) % 0.38/0.56 (step @p89 false :rule chain_m_resolution :premises (@p88 @p87 @p73 @p27) :args (false (@list false false true) (@list @t36 @t38 @t39))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------