%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO200+2 : 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 : n002.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 08:16:41 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO200+2 : 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 % 0.18/0.34 % Computer : n002.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Mon Jun 1 23:40:03 EDT 2026 % 0.18/0.34 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.59 (define @t2 () (@list @t1)) % 0.38/0.59 (define @t3 () (@var "Z" $$unsorted)) % 0.38/0.59 (define @t4 () (@var "Y" $$unsorted)) % 0.38/0.59 (define @t5 () (tptp.distinct_points @t4 @t3)) % 0.38/0.59 (define @t6 () (tptp.distinct_points @t1 @t3)) % 0.38/0.59 (define @t7 () (or @t6 @t5)) % 0.38/0.59 (define @t8 () (tptp.distinct_points @t1 @t4)) % 0.38/0.59 (define @t9 () (@list @t1 @t4 @t3)) % 0.38/0.59 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.38/0.59 (define @t11 () (tptp.distinct_lines @t4 @t3)) % 0.38/0.59 (define @t12 () (tptp.distinct_lines @t1 @t4)) % 0.38/0.59 (define @t13 () (tptp.convergent_lines @t1 @t4)) % 0.38/0.59 (define @t14 () (and (tptp.distinct_points @t3 @t1) (tptp.distinct_points @t3 @t4))) % 0.38/0.59 (define @t15 () (tptp.line_connecting @t1 @t4)) % 0.38/0.59 (define @t16 () (tptp.apart_point_and_line @t3 @t15)) % 0.38/0.59 (define @t17 () (=> @t16 @t14)) % 0.38/0.59 (define @t18 () (forall @t9 (=> @t8 @t17))) % 0.38/0.59 (define @t19 () (tptp.apart_point_and_line @t3 @t4)) % 0.38/0.59 (define @t20 () (@var "V" $$unsorted)) % 0.38/0.59 (define @t21 () (tptp.apart_point_and_line @t4 @t20)) % 0.38/0.59 (define @t22 () (@var "U" $$unsorted)) % 0.38/0.59 (define @t23 () (tptp.apart_point_and_line @t4 @t22)) % 0.38/0.59 (define @t24 () (tptp.apart_point_and_line @t1 @t20)) % 0.38/0.59 (define @t25 () (tptp.apart_point_and_line @t1 @t22)) % 0.38/0.59 (define @t26 () (or @t25 @t24 @t23 @t21)) % 0.38/0.59 (define @t27 () (tptp.distinct_lines @t22 @t20)) % 0.38/0.59 (define @t28 () (and @t8 @t27)) % 0.38/0.59 (define @t29 () (forall (@list @t1 @t4 @t22 @t20) (=> @t28 @t26))) % 0.38/0.59 (define @t30 () (tptp.apart_point_and_line @t1 @t4)) % 0.38/0.59 (define @t31 () (@list @t1 @t4)) % 0.38/0.59 (define @t32 () (not (tptp.distinct_lines @t15 (tptp.line_connecting @t4 @t1)))) % 0.38/0.59 (define @t33 () (forall @t31 (=> @t8 @t32))) % 0.38/0.59 (define @t34 () (not @t33)) % 0.38/0.59 (define @t35 () (not @t8)) % 0.38/0.59 (define @t36 () (forall @t31 (or @t35 @t32))) % 0.38/0.59 (define @t37 () (@quantifiers_skolemize @t36 1)) % 0.38/0.59 (define @t38 () (@quantifiers_skolemize @t36 0)) % 0.38/0.59 (define @t39 () (tptp.distinct_points @t38 @t37)) % 0.38/0.59 (define @t40 () (tptp.line_connecting @t37 @t38)) % 0.38/0.59 (define @t41 () (tptp.line_connecting @t38 @t37)) % 0.38/0.59 (define @t42 () (tptp.distinct_lines @t41 @t40)) % 0.38/0.59 (define @t43 () (not @t42)) % 0.38/0.59 (define @t44 () (not @t39)) % 0.38/0.59 (define @t45 () (or @t44 @t43)) % 0.38/0.59 (define @t46 () (@list true)) % 0.38/0.59 (define @t47 () (@list @t45)) % 0.38/0.59 (define @t48 () (tptp.distinct_points @t37 @t38)) % 0.38/0.59 (define @t49 () (tptp.distinct_points @t37 @t37)) % 0.38/0.59 (define @t50 () (and @t49 @t48)) % 0.38/0.59 (define @t51 () (not @t50)) % 0.38/0.59 (define @t52 () (@list @t49)) % 0.38/0.59 (define @t53 () (tptp.distinct_points @t38 @t38)) % 0.38/0.59 (define @t54 () (and @t39 @t53)) % 0.38/0.59 (define @t55 () (not @t54)) % 0.38/0.59 (define @t56 () (@list @t53)) % 0.38/0.59 (define @t57 () (not @t16)) % 0.38/0.59 (define @t58 () (and @t48 @t49)) % 0.38/0.59 (define @t59 () (not @t58)) % 0.38/0.59 (define @t60 () (tptp.apart_point_and_line @t37 @t41)) % 0.38/0.59 (define @t61 () (not @t60)) % 0.38/0.59 (define @t62 () (or @t44 @t61 @t58)) % 0.38/0.59 (define @t63 () (@list @t38 @t37 @t38)) % 0.38/0.59 (define @t64 () (or @t44 @t53 @t48)) % 0.38/0.59 (define @t65 () (tptp.apart_point_and_line @t38 @t40)) % 0.38/0.59 (define @t66 () (not @t65)) % 0.38/0.59 (define @t67 () (not @t48)) % 0.38/0.59 (define @t68 () (or @t67 @t66 @t54)) % 0.38/0.59 (define @t69 () (tptp.apart_point_and_line @t37 @t40)) % 0.38/0.59 (define @t70 () (not @t69)) % 0.38/0.59 (define @t71 () (or @t67 @t70 @t50)) % 0.38/0.59 (define @t72 () (not @t27)) % 0.38/0.59 (define @t73 () (tptp.apart_point_and_line @t38 @t41)) % 0.38/0.59 (define @t74 () (or @t44 @t43 @t73 @t65 @t60 @t69)) % 0.38/0.59 (define @t75 () (and @t53 @t39)) % 0.38/0.59 (define @t76 () (not @t75)) % 0.38/0.59 (define @t77 () (not @t73)) % 0.38/0.59 (define @t78 () (or @t44 @t77 @t75)) % 0.38/0.59 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.38/0.59 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.38/0.59 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.38/0.59 (assume @p4 @t10) % 0.38/0.59 (assume @p5 (forall @t9 (=> @t12 (or (tptp.distinct_lines @t1 @t3) @t11)))) % 0.38/0.59 (assume @p6 (forall @t9 (=> @t13 (or (tptp.convergent_lines @t1 @t3) (tptp.convergent_lines @t4 @t3))))) % 0.38/0.59 (assume @p7 @t18) % 0.38/0.59 (assume @p8 (forall @t9 (=> @t13 (=> (or (tptp.apart_point_and_line @t3 @t1) @t19) (tptp.distinct_points @t3 (tptp.intersection_point @t1 @t4)))))) % 0.38/0.59 (assume @p9 @t29) % 0.38/0.59 (assume @p10 (forall @t9 (=> @t30 (or @t6 @t19)))) % 0.38/0.59 (assume @p11 (forall @t9 (=> @t30 (or @t11 (tptp.apart_point_and_line @t1 @t3))))) % 0.38/0.59 (assume @p12 (forall @t31 (=> @t13 @t12))) % 0.38/0.59 (assume @p13 @t34) % 0.38/0.59 (assume @p14 true) % 0.38/0.59 (step @p15 :rule bool-impl-elim :args (@t8 @t32)) % 0.38/0.59 (step @p16 :rule cong :premises (@p15) :args (@t33)) % 0.38/0.59 (step @p17 :rule cong :premises (@p16) :args (@t34)) % 0.38/0.59 (step @p18 :rule eq_resolve :premises (@p13 @p17)) % 0.38/0.59 (step @p19 :rule skolemize :premises (@p18)) % 0.38/0.59 (step @p20 :rule bool-double-not-elim :args (@t39)) % 0.38/0.59 (step @p21 :rule refl :args (@t45)) % 0.38/0.59 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or @t45 (not @t44)))) % 0.38/0.59 (step @p23 :rule cnf_or_neg :args (@t45 0)) % 0.38/0.59 (step @p24 :rule eq_resolve :premises (@p23 @p22)) % 0.38/0.59 (step @p25 :rule reordering :premises (@p24) :args ((or @t39 @t45))) % 0.38/0.59 (step @p26 :rule chain_m_resolution :premises (@p25 @p19) :args (@t39 @t46 @t47)) % 0.38/0.59 (step @p27 :rule instantiate :premises (@p1) :args ((@list @t37))) % 0.38/0.59 (step @p28 :rule cnf_and_pos :args (@t50 0)) % 0.38/0.59 (step @p29 :rule reordering :premises (@p28) :args ((or @t49 @t51))) % 0.38/0.59 (step @p30 :rule chain_m_resolution :premises (@p29 @p27) :args (@t51 @t46 @t52)) % 0.38/0.59 (step @p31 :rule instantiate :premises (@p1) :args ((@list @t38))) % 0.38/0.59 (step @p32 :rule cnf_and_pos :args (@t54 1)) % 0.38/0.59 (step @p33 :rule reordering :premises (@p32) :args ((or @t53 @t55))) % 0.38/0.59 (step @p34 :rule chain_m_resolution :premises (@p33 @p31) :args (@t55 @t46 @t56)) % 0.38/0.59 (step @p35 :rule aci_norm :args ((= (or @t35 (or @t57 @t14)) (or @t35 @t57 @t14)))) % 0.38/0.59 (step @p36 :rule bool-impl-elim :args (@t16 @t14)) % 0.38/0.59 (step @p37 :rule refl :args (@t35)) % 0.38/0.59 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t35 @t17))) % 0.38/0.59 (step @p39 :rule trans :premises (@p38 @p35)) % 0.38/0.59 (step @p40 :rule bool-impl-elim :args (@t8 @t17)) % 0.38/0.59 (step @p41 :rule trans :premises (@p40 @p39)) % 0.38/0.59 (step @p42 :rule cong :premises (@p41) :args (@t18)) % 0.38/0.59 (step @p43 :rule eq_resolve :premises (@p7 @p42)) % 0.38/0.59 (step @p44 :rule instantiate :premises (@p43) :args ((@list @t38 @t37 @t37))) % 0.38/0.59 (step @p45 :rule cnf_and_pos :args (@t58 1)) % 0.38/0.59 (step @p46 :rule reordering :premises (@p45) :args ((or @t49 @t59))) % 0.38/0.59 (step @p47 :rule chain_m_resolution :premises (@p46 @p27) :args (@t59 @t46 @t52)) % 0.38/0.59 (step @p48 :rule cnf_or_pos :args (@t62)) % 0.38/0.59 (step @p49 :rule reordering :premises (@p48) :args ((or @t44 @t61 @t58 (not @t62)))) % 0.38/0.59 (step @p50 :rule chain_m_resolution :premises (@p49 @p26 @p47 @p44) :args (@t61 (@list false true false) (@list @t39 @t58 @t62))) % 0.38/0.59 (step @p51 :rule cnf_and_neg :args (@t54)) % 0.38/0.59 (step @p52 :rule reordering :premises (@p51) :args ((or @t44 @t54 (not @t53)))) % 0.38/0.59 (step @p53 :rule aci_norm :args ((= (or @t35 @t7) (or @t35 @t6 @t5)))) % 0.38/0.59 (step @p54 :rule bool-impl-elim :args (@t8 @t7)) % 0.38/0.59 (step @p55 :rule trans :premises (@p54 @p53)) % 0.38/0.59 (step @p56 :rule cong :premises (@p55) :args (@t10)) % 0.38/0.59 (step @p57 :rule eq_resolve :premises (@p4 @p56)) % 0.38/0.59 (step @p58 :rule instantiate :premises (@p57) :args (@t63)) % 0.38/0.59 (step @p59 :rule cnf_or_pos :args (@t64)) % 0.38/0.59 (step @p60 :rule reordering :premises (@p59) :args ((or @t44 @t48 @t53 (not @t64)))) % 0.38/0.59 (step @p61 :rule instantiate :premises (@p43) :args ((@list @t37 @t38 @t38))) % 0.38/0.59 (step @p62 :rule cnf_or_pos :args (@t68)) % 0.38/0.59 (step @p63 :rule reordering :premises (@p62) :args ((or @t66 @t67 @t54 (not @t68)))) % 0.38/0.59 (step @p64 :rule instantiate :premises (@p43) :args ((@list @t37 @t38 @t37))) % 0.38/0.59 (step @p65 :rule cnf_or_pos :args (@t71)) % 0.38/0.59 (step @p66 :rule reordering :premises (@p65) :args ((or @t70 @t67 @t50 (not @t71)))) % 0.38/0.59 (step @p67 :rule bool-double-not-elim :args (@t42)) % 0.38/0.59 (step @p68 :rule nary_cong :premises (@p21 @p67) :args ((or @t45 (not @t43)))) % 0.38/0.59 (step @p69 :rule cnf_or_neg :args (@t45 1)) % 0.38/0.59 (step @p70 :rule eq_resolve :premises (@p69 @p68)) % 0.38/0.59 (step @p71 :rule reordering :premises (@p70) :args ((or @t42 @t45))) % 0.38/0.59 (step @p72 :rule chain_m_resolution :premises (@p71 @p19) :args (@t42 @t46 @t47)) % 0.38/0.59 (step @p73 :rule aci_norm :args ((= (or (or @t35 @t72) @t26) (or @t35 @t72 @t25 @t24 @t23 @t21)))) % 0.38/0.59 (step @p74 :rule refl :args (@t26)) % 0.38/0.59 (step @p75 :rule bool-and-de-morgan :args (@t8 @t27 true)) % 0.38/0.59 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or (not @t28) @t26))) % 0.38/0.59 (step @p77 :rule trans :premises (@p76 @p73)) % 0.38/0.59 (step @p78 :rule bool-impl-elim :args (@t28 @t26)) % 0.38/0.59 (step @p79 :rule trans :premises (@p78 @p77)) % 0.38/0.59 (step @p80 :rule cong :premises (@p79) :args (@t29)) % 0.38/0.59 (step @p81 :rule eq_resolve :premises (@p9 @p80)) % 0.38/0.59 (step @p82 :rule instantiate :premises (@p81) :args ((@list @t38 @t37 @t41 @t40))) % 0.38/0.59 (step @p83 :rule cnf_or_pos :args (@t74)) % 0.38/0.59 (step @p84 :rule reordering :premises (@p83) :args ((or @t44 @t43 @t73 @t65 @t60 @t69 (not @t74)))) % 0.38/0.59 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p72 @p26 @p66 @p64 @p63 @p61 @p60 @p58 @p26 @p52 @p26) :args ((or @t73 @t60 @t54 @t50) (@list false false false true false true false false false false true false) (@list @t74 @t42 @t39 @t69 @t71 @t65 @t68 @t48 @t64 @t39 @t53 @t39))) % 0.38/0.59 (step @p86 :rule chain_m_resolution :premises (@p85 @p50 @p34 @p30) :args (@t73 (@list true true true) (@list @t60 @t54 @t50))) % 0.38/0.59 (step @p87 :rule cnf_and_pos :args (@t75 0)) % 0.38/0.59 (step @p88 :rule reordering :premises (@p87) :args ((or @t53 @t76))) % 0.38/0.59 (step @p89 :rule chain_m_resolution :premises (@p88 @p31) :args (@t76 @t46 @t56)) % 0.38/0.59 (step @p90 :rule instantiate :premises (@p43) :args (@t63)) % 0.38/0.59 (step @p91 :rule cnf_or_pos :args (@t78)) % 0.38/0.59 (step @p92 :rule reordering :premises (@p91) :args ((or @t44 @t77 @t75 (not @t78)))) % 0.38/0.59 (step @p93 false :rule chain_m_resolution :premises (@p92 @p90 @p89 @p86 @p26) :args (false (@list false true false false) (@list @t78 @t75 @t73 @t39))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------