%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO179+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.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 0.35s 0.57s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO179+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n016.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Mon Jun 1 23:39:24 EDT 2026 % 0.15/0.34 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.57 % SZS status Theorem % 0.35/0.57 % SZS output start Proof % 0.35/0.57 ( % 0.35/0.57 (declare-sort $$unsorted 0) % 0.35/0.57 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.35/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.35/0.57 (define @t2 () (@list @t1)) % 0.35/0.57 (define @t3 () (@var "Z" $$unsorted)) % 0.35/0.57 (define @t4 () (@var "Y" $$unsorted)) % 0.35/0.57 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.35/0.57 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.35/0.57 (define @t7 () (@list @t1 @t4 @t3)) % 0.35/0.57 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.35/0.57 (define @t9 () (tptp.convergent_lines @t1 @t3)) % 0.35/0.57 (define @t10 () (tptp.convergent_lines @t1 @t4)) % 0.35/0.57 (define @t11 () (tptp.line_connecting @t1 @t4)) % 0.35/0.57 (define @t12 () (not (tptp.apart_point_and_line @t1 @t11))) % 0.35/0.57 (define @t13 () (@list @t1 @t4)) % 0.35/0.57 (define @t14 () (forall @t13 (=> @t6 @t12))) % 0.35/0.57 (define @t15 () (not (tptp.apart_point_and_line @t4 @t11))) % 0.35/0.57 (define @t16 () (forall @t13 (=> @t6 @t15))) % 0.35/0.57 (define @t17 () (tptp.intersection_point @t1 @t4)) % 0.35/0.57 (define @t18 () (@var "V" $$unsorted)) % 0.35/0.57 (define @t19 () (@var "U" $$unsorted)) % 0.35/0.57 (define @t20 () (tptp.apart_point_and_line @t3 @t4)) % 0.35/0.57 (define @t21 () (or @t5 @t20)) % 0.35/0.57 (define @t22 () (tptp.apart_point_and_line @t1 @t4)) % 0.35/0.57 (define @t23 () (forall @t7 (=> @t22 @t21))) % 0.35/0.57 (define @t24 () (tptp.apart_point_and_line @t1 @t3)) % 0.35/0.57 (define @t25 () (or @t8 @t24)) % 0.35/0.57 (define @t26 () (forall @t7 (=> @t22 @t25))) % 0.35/0.57 (define @t27 () (and (tptp.distinct_lines @t11 (tptp.line_connecting @t3 @t1)) (tptp.distinct_lines @t11 (tptp.line_connecting @t3 @t4)))) % 0.35/0.57 (define @t28 () (tptp.apart_point_and_line @t3 @t11)) % 0.35/0.57 (define @t29 () (and @t6 @t28)) % 0.35/0.57 (define @t30 () (forall @t7 (=> @t29 @t27))) % 0.35/0.57 (define @t31 () (not @t30)) % 0.35/0.57 (define @t32 () (not @t22)) % 0.35/0.57 (define @t33 () (or @t32 @t5 @t20)) % 0.35/0.57 (define @t34 () (not @t28)) % 0.35/0.57 (define @t35 () (not @t6)) % 0.35/0.57 (define @t36 () (or @t35 @t34 @t27)) % 0.35/0.57 (define @t37 () (forall @t7 @t36)) % 0.35/0.57 (define @t38 () (@quantifiers_skolemize @t37 0)) % 0.35/0.57 (define @t39 () (@quantifiers_skolemize @t37 2)) % 0.35/0.57 (define @t40 () (tptp.line_connecting @t39 @t38)) % 0.35/0.57 (define @t41 () (@quantifiers_skolemize @t37 1)) % 0.35/0.57 (define @t42 () (tptp.line_connecting @t38 @t41)) % 0.35/0.57 (define @t43 () (tptp.line_connecting @t39 @t41)) % 0.35/0.57 (define @t44 () (@list @t38 @t41)) % 0.35/0.57 (define @t45 () (tptp.distinct_points @t38 @t41)) % 0.35/0.57 (define @t46 () (tptp.distinct_lines @t42 @t43)) % 0.35/0.57 (define @t47 () (tptp.distinct_lines @t42 @t40)) % 0.35/0.57 (define @t48 () (and @t47 @t46)) % 0.35/0.57 (define @t49 () (tptp.apart_point_and_line @t39 @t42)) % 0.35/0.57 (define @t50 () (not @t49)) % 0.35/0.57 (define @t51 () (not @t45)) % 0.35/0.57 (define @t52 () (or @t51 @t50 @t48)) % 0.35/0.57 (define @t53 () (@list true)) % 0.35/0.57 (define @t54 () (@list @t52)) % 0.35/0.57 (define @t55 () (tptp.apart_point_and_line @t41 @t42)) % 0.35/0.57 (define @t56 () (not @t55)) % 0.35/0.57 (define @t57 () (or @t51 @t56)) % 0.35/0.57 (define @t58 () (@list false false)) % 0.35/0.57 (define @t59 () (tptp.distinct_points @t39 @t41)) % 0.35/0.57 (define @t60 () (or @t50 @t59 @t55)) % 0.35/0.57 (define @t61 () (@list false true false)) % 0.35/0.57 (define @t62 () (tptp.apart_point_and_line @t39 @t43)) % 0.35/0.57 (define @t63 () (not @t62)) % 0.35/0.57 (define @t64 () (not @t59)) % 0.35/0.57 (define @t65 () (or @t64 @t63)) % 0.35/0.57 (define @t66 () (or @t50 @t46 @t62)) % 0.35/0.57 (define @t67 () (@list true false)) % 0.35/0.57 (define @t68 () (tptp.apart_point_and_line @t39 @t40)) % 0.35/0.57 (define @t69 () (or @t50 @t47 @t68)) % 0.35/0.57 (define @t70 () (not @t68)) % 0.35/0.57 (define @t71 () (tptp.distinct_points @t39 @t38)) % 0.35/0.57 (define @t72 () (not @t71)) % 0.35/0.57 (define @t73 () (or @t72 @t70)) % 0.35/0.57 (define @t74 () (tptp.apart_point_and_line @t38 @t42)) % 0.35/0.57 (define @t75 () (not @t74)) % 0.35/0.57 (define @t76 () (or @t51 @t75)) % 0.35/0.57 (define @t77 () (or @t50 @t71 @t74)) % 0.35/0.57 (define @t78 () (not @t77)) % 0.35/0.57 (define @t79 () (forall @t7 @t33)) % 0.35/0.57 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.35/0.57 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.35/0.57 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.35/0.57 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.35/0.57 (assume @p5 (forall @t7 (=> (tptp.distinct_lines @t1 @t4) (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.35/0.57 (assume @p6 (forall @t7 (=> @t10 (or @t9 (tptp.convergent_lines @t4 @t3))))) % 0.35/0.57 (assume @p7 @t14) % 0.35/0.57 (assume @p8 @t16) % 0.35/0.57 (assume @p9 (forall @t13 (=> @t10 (not (tptp.apart_point_and_line @t17 @t1))))) % 0.35/0.57 (assume @p10 (forall @t13 (=> @t10 (not (tptp.apart_point_and_line @t17 @t4))))) % 0.35/0.57 (assume @p11 (forall (@list @t1 @t4 @t19 @t18) (=> (and @t6 (tptp.distinct_lines @t19 @t18)) (or (tptp.apart_point_and_line @t1 @t19) (tptp.apart_point_and_line @t1 @t18) (tptp.apart_point_and_line @t4 @t19) (tptp.apart_point_and_line @t4 @t18))))) % 0.35/0.57 (assume @p12 @t23) % 0.35/0.57 (assume @p13 @t26) % 0.35/0.57 (assume @p14 (forall @t7 (=> @t10 (or @t8 @t9)))) % 0.35/0.57 (assume @p15 @t31) % 0.35/0.57 (assume @p16 true) % 0.35/0.57 (step @p17 :rule aci_norm :args ((= (or @t32 @t21) @t33))) % 0.35/0.57 (step @p18 :rule bool-impl-elim :args (@t22 @t21)) % 0.35/0.57 (step @p19 :rule trans :premises (@p18 @p17)) % 0.35/0.57 (step @p20 :rule cong :premises (@p19) :args (@t23)) % 0.35/0.57 (step @p21 :rule eq_resolve :premises (@p12 @p20)) % 0.35/0.57 (step @p22 :rule bool-impl-elim :args (@t6 @t12)) % 0.35/0.57 (step @p23 :rule cong :premises (@p22) :args (@t14)) % 0.35/0.57 (step @p24 :rule eq_resolve :premises (@p7 @p23)) % 0.35/0.57 (step @p25 :rule instantiate :premises (@p24) :args ((@list @t39 @t38))) % 0.35/0.57 (step @p26 :rule aci_norm :args ((= (or @t32 @t25) (or @t32 @t8 @t24)))) % 0.35/0.57 (step @p27 :rule bool-impl-elim :args (@t22 @t25)) % 0.35/0.57 (step @p28 :rule trans :premises (@p27 @p26)) % 0.35/0.57 (step @p29 :rule cong :premises (@p28) :args (@t26)) % 0.35/0.57 (step @p30 :rule eq_resolve :premises (@p13 @p29)) % 0.35/0.57 (step @p31 :rule instantiate :premises (@p30) :args ((@list @t39 @t42 @t40))) % 0.35/0.57 (step @p32 :rule instantiate :premises (@p30) :args ((@list @t39 @t42 @t43))) % 0.35/0.57 (step @p33 :rule instantiate :premises (@p24) :args ((@list @t39 @t41))) % 0.35/0.57 (step @p34 :rule instantiate :premises (@p21) :args ((@list @t39 @t42 @t41))) % 0.35/0.57 (step @p35 :rule bool-impl-elim :args (@t6 @t15)) % 0.35/0.57 (step @p36 :rule cong :premises (@p35) :args (@t16)) % 0.35/0.57 (step @p37 :rule eq_resolve :premises (@p8 @p36)) % 0.35/0.57 (step @p38 :rule instantiate :premises (@p37) :args (@t44)) % 0.35/0.57 (step @p39 :rule aci_norm :args ((= (or (or @t35 @t34) @t27) @t36))) % 0.35/0.57 (step @p40 :rule refl :args (@t27)) % 0.35/0.57 (step @p41 :rule bool-and-de-morgan :args (@t6 @t28 true)) % 0.35/0.57 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or (not @t29) @t27))) % 0.35/0.57 (step @p43 :rule trans :premises (@p42 @p39)) % 0.35/0.57 (step @p44 :rule bool-impl-elim :args (@t29 @t27)) % 0.35/0.57 (step @p45 :rule trans :premises (@p44 @p43)) % 0.35/0.57 (step @p46 :rule cong :premises (@p45) :args (@t30)) % 0.35/0.57 (step @p47 :rule cong :premises (@p46) :args (@t31)) % 0.35/0.57 (step @p48 :rule eq_resolve :premises (@p15 @p47)) % 0.35/0.57 (step @p49 :rule skolemize :premises (@p48)) % 0.35/0.57 (step @p50 :rule bool-double-not-elim :args (@t45)) % 0.35/0.57 (step @p51 :rule refl :args (@t52)) % 0.35/0.57 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t52 (not @t51)))) % 0.35/0.57 (step @p53 :rule cnf_or_neg :args (@t52 0)) % 0.35/0.57 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 0.35/0.57 (step @p55 :rule reordering :premises (@p54) :args ((or @t45 @t52))) % 0.35/0.57 (step @p56 :rule chain_m_resolution :premises (@p55 @p49) :args (@t45 @t53 @t54)) % 0.35/0.57 (step @p57 :rule cnf_or_pos :args (@t57)) % 0.35/0.57 (step @p58 :rule reordering :premises (@p57) :args ((or @t51 @t56 (not @t57)))) % 0.35/0.57 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p38) :args (@t56 @t58 (@list @t45 @t57))) % 0.35/0.57 (step @p60 :rule bool-double-not-elim :args (@t49)) % 0.35/0.57 (step @p61 :rule nary_cong :premises (@p51 @p60) :args ((or @t52 (not @t50)))) % 0.35/0.57 (step @p62 :rule cnf_or_neg :args (@t52 1)) % 0.35/0.57 (step @p63 :rule eq_resolve :premises (@p62 @p61)) % 0.35/0.57 (step @p64 :rule reordering :premises (@p63) :args ((or @t49 @t52))) % 0.35/0.57 (step @p65 :rule chain_m_resolution :premises (@p64 @p49) :args (@t49 @t53 @t54)) % 0.35/0.57 (step @p66 :rule cnf_or_pos :args (@t60)) % 0.35/0.57 (step @p67 :rule reordering :premises (@p66) :args ((or @t50 @t59 @t55 (not @t60)))) % 0.35/0.57 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p59 @p34) :args (@t59 @t61 (@list @t49 @t55 @t60))) % 0.35/0.57 (step @p69 :rule cnf_or_pos :args (@t65)) % 0.35/0.57 (step @p70 :rule reordering :premises (@p69) :args ((or @t64 @t63 (not @t65)))) % 0.35/0.57 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p33) :args (@t63 @t58 (@list @t59 @t65))) % 0.35/0.57 (step @p72 :rule cnf_or_pos :args (@t66)) % 0.35/0.57 (step @p73 :rule reordering :premises (@p72) :args ((or @t50 @t46 @t62 (not @t66)))) % 0.35/0.57 (step @p74 :rule chain_m_resolution :premises (@p73 @p65 @p71 @p32) :args (@t46 @t61 (@list @t49 @t62 @t66))) % 0.35/0.57 (step @p75 :rule cnf_or_neg :args (@t52 2)) % 0.35/0.57 (step @p76 :rule chain_m_resolution :premises (@p75 @p49) :args ((not @t48) @t53 @t54)) % 0.35/0.57 (step @p77 :rule cnf_and_neg :args (@t48)) % 0.35/0.57 (step @p78 :rule chain_m_resolution :premises (@p77 @p76 @p74) :args ((not @t47) @t67 (@list @t48 @t46))) % 0.35/0.57 (step @p79 :rule cnf_or_pos :args (@t69)) % 0.35/0.57 (step @p80 :rule reordering :premises (@p79) :args ((or @t50 @t47 @t68 (not @t69)))) % 0.35/0.57 (step @p81 :rule chain_m_resolution :premises (@p80 @p65 @p78 @p31) :args (@t68 @t61 (@list @t49 @t47 @t69))) % 0.35/0.57 (step @p82 :rule cnf_or_pos :args (@t73)) % 0.35/0.57 (step @p83 :rule reordering :premises (@p82) :args ((or @t72 @t70 (not @t73)))) % 0.35/0.57 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p25) :args (@t72 @t58 (@list @t68 @t73))) % 0.35/0.57 (step @p85 :rule instantiate :premises (@p24) :args (@t44)) % 0.35/0.57 (step @p86 :rule cnf_or_pos :args (@t76)) % 0.35/0.57 (step @p87 :rule reordering :premises (@p86) :args ((or @t51 @t75 (not @t76)))) % 0.35/0.57 (step @p88 :rule chain_m_resolution :premises (@p87 @p56 @p85) :args (@t75 @t58 (@list @t45 @t76))) % 0.35/0.57 (step @p89 :rule cnf_or_pos :args (@t77)) % 0.35/0.57 (step @p90 :rule reordering :premises (@p89) :args ((or @t50 @t74 @t71 @t78))) % 0.35/0.57 (step @p91 :rule chain_m_resolution :premises (@p90 @p65 @p88 @p84) :args (@t78 (@list false true true) (@list @t49 @t74 @t71))) % 0.35/0.57 (assume-push @p98 @t79) % 0.35/0.57 (step @p93 :rule instantiate :premises (@p21) :args ((@list @t39 @t42 @t38))) % 0.35/0.57 (step-pop @p99 :rule scope :premises (@p93)) % 0.35/0.57 (step @p94 :rule process_scope :premises (@p99) :args (@t77)) % 0.35/0.57 (step @p96 :rule implies_elim :premises (@p94)) % 0.35/0.57 (step @p97 false :rule chain_m_resolution :premises (@p96 @p91 @p21) :args (false @t67 (@list @t77 @t79))) % 0.35/0.57 ) % 0.35/0.57 % SZS output end Proof % 0.35/0.57 % cvc5 exiting %------------------------------------------------------------------------------