%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO173+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 : n027.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 08:16:32 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 : GEO173+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 % 0.17/0.34 % Computer : n027.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 23:38:36 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----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 () (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.38/0.56 (define @t4 () (@var "Z" $$unsorted)) % 0.38/0.56 (define @t5 () (@var "Y" $$unsorted)) % 0.38/0.56 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.38/0.56 (define @t7 () (tptp.distinct_points @t1 @t5)) % 0.38/0.56 (define @t8 () (@list @t1 @t5 @t4)) % 0.38/0.56 (define @t9 () (tptp.distinct_lines @t5 @t4)) % 0.38/0.56 (define @t10 () (tptp.distinct_lines @t1 @t5)) % 0.38/0.56 (define @t11 () (tptp.convergent_lines @t1 @t5)) % 0.38/0.56 (define @t12 () (and (tptp.distinct_points @t4 @t1) (tptp.distinct_points @t4 @t5))) % 0.38/0.56 (define @t13 () (tptp.line_connecting @t1 @t5)) % 0.38/0.56 (define @t14 () (tptp.apart_point_and_line @t4 @t13)) % 0.38/0.56 (define @t15 () (=> @t14 @t12)) % 0.38/0.56 (define @t16 () (forall @t8 (=> @t7 @t15))) % 0.38/0.56 (define @t17 () (tptp.apart_point_and_line @t4 @t5)) % 0.38/0.56 (define @t18 () (@var "V" $$unsorted)) % 0.38/0.56 (define @t19 () (tptp.apart_point_and_line @t5 @t18)) % 0.38/0.56 (define @t20 () (@var "U" $$unsorted)) % 0.38/0.56 (define @t21 () (tptp.apart_point_and_line @t5 @t20)) % 0.38/0.56 (define @t22 () (tptp.apart_point_and_line @t1 @t18)) % 0.38/0.56 (define @t23 () (tptp.apart_point_and_line @t1 @t20)) % 0.38/0.56 (define @t24 () (or @t23 @t22 @t21 @t19)) % 0.38/0.56 (define @t25 () (tptp.distinct_lines @t20 @t18)) % 0.38/0.56 (define @t26 () (and @t7 @t25)) % 0.38/0.56 (define @t27 () (@list @t1 @t5 @t20 @t18)) % 0.38/0.56 (define @t28 () (forall @t27 (=> @t26 @t24))) % 0.38/0.56 (define @t29 () (tptp.apart_point_and_line @t1 @t5)) % 0.38/0.56 (define @t30 () (or @t23 @t21)) % 0.38/0.56 (define @t31 () (tptp.distinct_lines @t20 @t13)) % 0.38/0.57 (define @t32 () (tptp.convergent_lines @t20 @t18)) % 0.38/0.57 (define @t33 () (and @t7 @t32 @t31)) % 0.38/0.57 (define @t34 () (forall @t27 (=> @t33 @t30))) % 0.38/0.57 (define @t35 () (not @t34)) % 0.38/0.57 (define @t36 () (not @t14)) % 0.38/0.57 (define @t37 () (not @t7)) % 0.38/0.57 (define @t38 () (not @t31)) % 0.38/0.57 (define @t39 () (not @t32)) % 0.38/0.57 (define @t40 () (or @t37 @t39 @t38 @t23 @t21)) % 0.38/0.57 (define @t41 () (forall @t27 @t40)) % 0.38/0.57 (define @t42 () (@quantifiers_skolemize @t41 0)) % 0.38/0.57 (define @t43 () (@quantifiers_skolemize @t41 1)) % 0.38/0.57 (define @t44 () (not @t25)) % 0.38/0.57 (define @t45 () (tptp.line_connecting @t42 @t43)) % 0.38/0.57 (define @t46 () (@quantifiers_skolemize @t41 2)) % 0.38/0.57 (define @t47 () (tptp.distinct_points @t43 @t43)) % 0.38/0.57 (define @t48 () (and (tptp.distinct_points @t43 @t42) @t47)) % 0.38/0.57 (define @t49 () (not @t48)) % 0.38/0.57 (define @t50 () (@list true)) % 0.38/0.57 (define @t51 () (or @t37 @t39 @t38)) % 0.38/0.57 (define @t52 () (tptp.distinct_points @t42 @t43)) % 0.38/0.57 (define @t53 () (tptp.apart_point_and_line @t43 @t46)) % 0.38/0.57 (define @t54 () (tptp.apart_point_and_line @t42 @t46)) % 0.38/0.57 (define @t55 () (tptp.distinct_lines @t46 @t45)) % 0.38/0.57 (define @t56 () (not @t55)) % 0.38/0.57 (define @t57 () (not @t52)) % 0.38/0.57 (define @t58 () (or @t57 (not (tptp.convergent_lines @t46 (@quantifiers_skolemize @t41 3))) @t56 @t54 @t53)) % 0.38/0.57 (define @t59 () (@list @t58)) % 0.38/0.57 (define @t60 () (tptp.apart_point_and_line @t43 @t45)) % 0.38/0.57 (define @t61 () (not @t60)) % 0.38/0.57 (define @t62 () (or @t57 @t61 @t48)) % 0.38/0.57 (define @t63 () (tptp.apart_point_and_line @t42 @t45)) % 0.38/0.57 (define @t64 () (or @t57 @t56 @t54 @t63 @t53 @t60)) % 0.38/0.57 (define @t65 () (tptp.distinct_points @t42 @t42)) % 0.38/0.57 (define @t66 () (and @t65 @t52)) % 0.38/0.57 (define @t67 () (not @t63)) % 0.38/0.57 (define @t68 () (or @t57 @t67 @t66)) % 0.38/0.57 (assume @p1 @t3) % 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 @t8 (=> @t7 (or @t6 (tptp.distinct_points @t5 @t4))))) % 0.38/0.57 (assume @p5 (forall @t8 (=> @t10 (or (tptp.distinct_lines @t1 @t4) @t9)))) % 0.38/0.57 (assume @p6 (forall @t8 (=> @t11 (or (tptp.convergent_lines @t1 @t4) (tptp.convergent_lines @t5 @t4))))) % 0.38/0.57 (assume @p7 @t16) % 0.38/0.57 (assume @p8 (forall @t8 (=> @t11 (=> (or (tptp.apart_point_and_line @t4 @t1) @t17) (tptp.distinct_points @t4 (tptp.intersection_point @t1 @t5)))))) % 0.38/0.57 (assume @p9 @t28) % 0.38/0.57 (assume @p10 (forall @t8 (=> @t29 (or @t6 @t17)))) % 0.38/0.57 (assume @p11 (forall @t8 (=> @t29 (or @t9 (tptp.apart_point_and_line @t1 @t4))))) % 0.38/0.57 (assume @p12 (forall (@list @t1 @t5) (=> @t11 @t10))) % 0.38/0.57 (assume @p13 @t35) % 0.38/0.57 (assume @p14 true) % 0.38/0.57 (step @p15 :rule aci_norm :args ((= (or @t37 (or @t36 @t12)) (or @t37 @t36 @t12)))) % 0.38/0.57 (step @p16 :rule bool-impl-elim :args (@t14 @t12)) % 0.38/0.57 (step @p17 :rule refl :args (@t37)) % 0.38/0.57 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or @t37 @t15))) % 0.38/0.57 (step @p19 :rule trans :premises (@p18 @p15)) % 0.38/0.57 (step @p20 :rule bool-impl-elim :args (@t7 @t15)) % 0.38/0.57 (step @p21 :rule trans :premises (@p20 @p19)) % 0.38/0.57 (step @p22 :rule cong :premises (@p21) :args (@t16)) % 0.38/0.57 (step @p23 :rule eq_resolve :premises (@p7 @p22)) % 0.38/0.57 (step @p24 :rule instantiate :premises (@p23) :args ((@list @t42 @t43 @t42))) % 0.38/0.57 (step @p25 :rule aci_norm :args ((= (or (or @t37 @t44) @t24) (or @t37 @t44 @t23 @t22 @t21 @t19)))) % 0.38/0.57 (step @p26 :rule refl :args (@t24)) % 0.38/0.57 (step @p27 :rule bool-and-de-morgan :args (@t7 @t25 true)) % 0.38/0.57 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or (not @t26) @t24))) % 0.38/0.57 (step @p29 :rule trans :premises (@p28 @p25)) % 0.38/0.57 (step @p30 :rule bool-impl-elim :args (@t26 @t24)) % 0.38/0.57 (step @p31 :rule trans :premises (@p30 @p29)) % 0.38/0.57 (step @p32 :rule cong :premises (@p31) :args (@t28)) % 0.38/0.57 (step @p33 :rule eq_resolve :premises (@p9 @p32)) % 0.38/0.57 (step @p34 :rule instantiate :premises (@p33) :args ((@list @t42 @t43 @t46 @t45))) % 0.38/0.57 (step @p35 :rule instantiate :premises (@p23) :args ((@list @t42 @t43 @t43))) % 0.38/0.57 (step @p36 :rule instantiate :premises (@p1) :args ((@list @t43))) % 0.38/0.57 (step @p37 :rule cnf_and_pos :args (@t48 1)) % 0.38/0.57 (step @p38 :rule reordering :premises (@p37) :args ((or @t47 @t49))) % 0.38/0.57 (step @p39 :rule chain_m_resolution :premises (@p38 @p36) :args (@t49 @t50 (@list @t47))) % 0.38/0.57 (step @p40 :rule aci_norm :args ((= (or @t51 @t30) @t40))) % 0.38/0.57 (step @p41 :rule refl :args (@t30)) % 0.38/0.57 (step @p42 :rule aci_norm :args ((= (or @t37 (or @t39 @t38)) @t51))) % 0.38/0.57 (step @p43 :rule bool-and-de-morgan :args (@t32 @t31 true)) % 0.38/0.57 (step @p44 :rule nary_cong :premises (@p17 @p43) :args ((or @t37 (not (and @t32 @t31))))) % 0.38/0.57 (step @p45 :rule bool-and-de-morgan :args (@t7 @t32 (and @t31))) % 0.38/0.57 (step @p46 :rule trans :premises (@p45 @p44)) % 0.38/0.57 (step @p47 :rule trans :premises (@p46 @p42)) % 0.38/0.57 (step @p48 :rule nary_cong :premises (@p47 @p41) :args ((or (not @t33) @t30))) % 0.38/0.57 (step @p49 :rule trans :premises (@p48 @p40)) % 0.38/0.57 (step @p50 :rule bool-impl-elim :args (@t33 @t30)) % 0.38/0.57 (step @p51 :rule trans :premises (@p50 @p49)) % 0.38/0.57 (step @p52 :rule cong :premises (@p51) :args (@t34)) % 0.38/0.57 (step @p53 :rule cong :premises (@p52) :args (@t35)) % 0.38/0.57 (step @p54 :rule eq_resolve :premises (@p13 @p53)) % 0.38/0.57 (step @p55 :rule skolemize :premises (@p54)) % 0.38/0.57 (step @p56 :rule bool-double-not-elim :args (@t52)) % 0.38/0.57 (step @p57 :rule refl :args (@t58)) % 0.38/0.57 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or @t58 (not @t57)))) % 0.38/0.57 (step @p59 :rule cnf_or_neg :args (@t58 0)) % 0.38/0.57 (step @p60 :rule eq_resolve :premises (@p59 @p58)) % 0.38/0.57 (step @p61 :rule reordering :premises (@p60) :args ((or @t52 @t58))) % 0.38/0.57 (step @p62 :rule chain_m_resolution :premises (@p61 @p55) :args (@t52 @t50 @t59)) % 0.38/0.57 (step @p63 :rule cnf_or_pos :args (@t62)) % 0.38/0.57 (step @p64 :rule reordering :premises (@p63) :args ((or @t57 @t61 @t48 (not @t62)))) % 0.38/0.57 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p39 @p35) :args (@t61 (@list false true false) (@list @t52 @t48 @t62))) % 0.38/0.57 (step @p66 :rule cnf_or_neg :args (@t58 4)) % 0.38/0.57 (step @p67 :rule chain_m_resolution :premises (@p66 @p55) :args ((not @t53) @t50 @t59)) % 0.38/0.57 (step @p68 :rule cnf_or_neg :args (@t58 3)) % 0.38/0.57 (step @p69 :rule chain_m_resolution :premises (@p68 @p55) :args ((not @t54) @t50 @t59)) % 0.38/0.57 (step @p70 :rule bool-double-not-elim :args (@t55)) % 0.38/0.57 (step @p71 :rule nary_cong :premises (@p57 @p70) :args ((or @t58 (not @t56)))) % 0.38/0.57 (step @p72 :rule cnf_or_neg :args (@t58 2)) % 0.38/0.57 (step @p73 :rule eq_resolve :premises (@p72 @p71)) % 0.38/0.57 (step @p74 :rule reordering :premises (@p73) :args ((or @t55 @t58))) % 0.38/0.57 (step @p75 :rule chain_m_resolution :premises (@p74 @p55) :args (@t55 @t50 @t59)) % 0.38/0.57 (step @p76 :rule cnf_or_pos :args (@t64)) % 0.38/0.57 (step @p77 :rule reordering :premises (@p76) :args ((or @t57 @t56 @t54 @t53 @t63 @t60 (not @t64)))) % 0.38/0.57 (step @p78 :rule chain_m_resolution :premises (@p77 @p62 @p75 @p69 @p67 @p65 @p34) :args (@t63 (@list false false true true true false) (@list @t52 @t55 @t54 @t53 @t60 @t64))) % 0.38/0.57 (step @p79 :rule cnf_or_pos :args (@t68)) % 0.38/0.57 (step @p80 :rule reordering :premises (@p79) :args ((or @t57 @t67 @t66 (not @t68)))) % 0.38/0.57 (step @p81 :rule chain_m_resolution :premises (@p80 @p62 @p78 @p24) :args (@t66 (@list false false false) (@list @t52 @t63 @t68))) % 0.38/0.57 (step @p82 :rule cnf_and_pos :args (@t66 0)) % 0.38/0.57 (step @p83 :rule reordering :premises (@p82) :args ((or @t65 (not @t66)))) % 0.38/0.57 (step @p84 :rule chain_m_resolution :premises (@p83 @p81) :args (@t65 (@list false) (@list @t66))) % 0.38/0.57 (assume-push @p91 @t3) % 0.38/0.57 (step @p86 :rule instantiate :premises (@p1) :args ((@list @t42))) % 0.38/0.57 (step-pop @p92 :rule scope :premises (@p86)) % 0.38/0.57 (step @p87 :rule process_scope :premises (@p92) :args ((not @t65))) % 0.38/0.57 (step @p89 :rule implies_elim :premises (@p87)) % 0.38/0.57 (step @p90 false :rule chain_m_resolution :premises (@p89 @p84 @p1) :args (false (@list false false) (@list @t65 @t3))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------