%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO261+1 : TPTP v9.2.1. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:16:59 AM UTC 2026 % Result : Theorem 0.37s 0.61s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO261+1 : TPTP v9.2.1. Bugfixed v6.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n001.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 23:42:35 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.61 % SZS status Theorem % 0.37/0.61 % SZS output start Proof % 0.37/0.61 ( % 0.37/0.61 (declare-sort $$unsorted 0) % 0.37/0.61 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.left_apart_point (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.point (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.unequally_directed_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.between_on_line (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.line (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.reverse_line (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.before_on_line (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.divides_points (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.left_convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (define @t1 () (@var "L" $$unsorted)) % 0.37/0.61 (define @t2 () (tptp.reverse_line @t1)) % 0.37/0.61 (define @t3 () (@var "A" $$unsorted)) % 0.37/0.61 (define @t4 () (tptp.left_apart_point @t3 @t2)) % 0.37/0.61 (define @t5 () (tptp.left_apart_point @t3 @t1)) % 0.37/0.61 (define @t6 () (or @t5 @t4)) % 0.37/0.61 (define @t7 () (@list @t3 @t1)) % 0.37/0.61 (define @t8 () (@var "M" $$unsorted)) % 0.37/0.61 (define @t9 () (tptp.reverse_line @t8)) % 0.37/0.61 (define @t10 () (tptp.unequally_directed_lines @t1 @t9)) % 0.37/0.61 (define @t11 () (tptp.unequally_directed_lines @t1 @t8)) % 0.37/0.61 (define @t12 () (and @t11 @t10)) % 0.37/0.61 (define @t13 () (tptp.convergent_lines @t1 @t8)) % 0.37/0.61 (define @t14 () (@list @t1 @t8)) % 0.37/0.61 (define @t15 () (@var "B" $$unsorted)) % 0.37/0.61 (define @t16 () (tptp.left_apart_point @t15 @t1)) % 0.37/0.61 (define @t17 () (tptp.left_apart_point @t15 @t2)) % 0.37/0.61 (define @t18 () (@list @t3 @t15 @t1)) % 0.37/0.61 (define @t19 () (tptp.line_connecting @t3 @t15)) % 0.37/0.61 (define @t20 () (not @t6)) % 0.37/0.61 (define @t21 () (tptp.distinct_points @t3 @t15)) % 0.37/0.61 (define @t22 () (tptp.before_on_line @t1 @t3 @t15)) % 0.37/0.61 (define @t23 () (@var "C" $$unsorted)) % 0.37/0.61 (define @t24 () (tptp.between_on_line @t1 @t3 @t15 @t23)) % 0.37/0.61 (define @t25 () (@list @t1)) % 0.37/0.61 (define @t26 () (@var "N" $$unsorted)) % 0.37/0.61 (define @t27 () (tptp.distinct_lines @t1 @t8)) % 0.37/0.61 (define @t28 () (@list @t1 @t8 @t26)) % 0.37/0.61 (define @t29 () (tptp.unequally_directed_lines @t8 @t26)) % 0.37/0.61 (define @t30 () (tptp.unequally_directed_lines @t1 @t26)) % 0.37/0.61 (define @t31 () (tptp.reverse_line @t26)) % 0.37/0.61 (define @t32 () (tptp.line @t8)) % 0.37/0.61 (define @t33 () (tptp.line @t1)) % 0.37/0.61 (define @t34 () (tptp.left_convergent_lines @t1 @t9)) % 0.37/0.61 (define @t35 () (tptp.left_convergent_lines @t1 @t8)) % 0.37/0.61 (define @t36 () (or @t35 @t34)) % 0.37/0.61 (define @t37 () (forall @t14 (=> @t12 @t36))) % 0.37/0.61 (define @t38 () (forall @t14 (not @t36))) % 0.37/0.61 (define @t39 () (tptp.point @t3)) % 0.37/0.61 (define @t40 () (@list @t3 @t15)) % 0.37/0.61 (define @t41 () (tptp.intersection_point @t1 @t8)) % 0.37/0.61 (define @t42 () (tptp.parallel_through_point @t1 @t3)) % 0.37/0.61 (define @t43 () (tptp.left_apart_point @t3 @t9)) % 0.37/0.61 (define @t44 () (tptp.divides_points @t8 @t3 @t23)) % 0.37/0.61 (define @t45 () (tptp.apart_point_and_line @t15 @t8)) % 0.37/0.61 (define @t46 () (not @t45)) % 0.37/0.61 (define @t47 () (and @t24 @t13 @t46)) % 0.37/0.61 (define @t48 () (@list @t1 @t8 @t3 @t15 @t23)) % 0.37/0.61 (define @t49 () (forall @t48 (=> @t47 @t44))) % 0.37/0.61 (define @t50 () (not @t49)) % 0.37/0.61 (define @t51 () (not @t34)) % 0.37/0.61 (define @t52 () (forall @t14 @t51)) % 0.37/0.61 (define @t53 () (@list @t1 @t8)) % 0.37/0.61 (define @t54 () (not @t35)) % 0.37/0.61 (define @t55 () (forall @t14 @t54)) % 0.37/0.61 (define @t56 () (@var "BOUND_VARIABLE_7680" $$unsorted)) % 0.37/0.61 (define @t57 () (@var "BOUND_VARIABLE_7678" $$unsorted)) % 0.37/0.61 (define @t58 () (and @t55 @t52)) % 0.37/0.61 (define @t59 () (not @t10)) % 0.37/0.61 (define @t60 () (not @t11)) % 0.37/0.61 (define @t61 () (not @t13)) % 0.37/0.61 (define @t62 () (not @t24)) % 0.37/0.61 (define @t63 () (or @t62 @t61 @t45 @t44)) % 0.37/0.61 (define @t64 () (forall @t48 @t63)) % 0.37/0.61 (define @t65 () (@quantifiers_skolemize @t64 1)) % 0.37/0.61 (define @t66 () (@quantifiers_skolemize @t64 0)) % 0.37/0.61 (define @t67 () (@list @t66 @t65)) % 0.37/0.61 (define @t68 () (not @t46)) % 0.37/0.61 (define @t69 () (or @t62 @t61 @t68)) % 0.37/0.61 (define @t70 () (tptp.convergent_lines @t66 @t65)) % 0.37/0.61 (define @t71 () (@quantifiers_skolemize @t64 4)) % 0.37/0.61 (define @t72 () (@quantifiers_skolemize @t64 2)) % 0.37/0.61 (define @t73 () (@quantifiers_skolemize @t64 3)) % 0.37/0.61 (define @t74 () (not @t70)) % 0.37/0.61 (define @t75 () (or (not (tptp.between_on_line @t66 @t72 @t73 @t71)) @t74 (tptp.apart_point_and_line @t73 @t65) (tptp.divides_points @t65 @t72 @t71))) % 0.37/0.61 (define @t76 () (tptp.reverse_line @t65)) % 0.37/0.61 (define @t77 () (tptp.unequally_directed_lines @t66 @t76)) % 0.37/0.61 (define @t78 () (tptp.unequally_directed_lines @t66 @t65)) % 0.37/0.61 (define @t79 () (and @t78 @t77)) % 0.37/0.61 (define @t80 () (= @t70 @t79)) % 0.37/0.61 (define @t81 () (@list false false)) % 0.37/0.61 (define @t82 () (not @t79)) % 0.37/0.61 (define @t83 () (@list false)) % 0.37/0.61 (define @t84 () (@list @t79)) % 0.37/0.61 (define @t85 () (tptp.left_convergent_lines @t66 @t76)) % 0.37/0.61 (define @t86 () (tptp.left_convergent_lines @t66 @t65)) % 0.37/0.61 (define @t87 () (not @t77)) % 0.37/0.61 (define @t88 () (not @t78)) % 0.37/0.61 (define @t89 () (or @t88 @t87 @t86 @t85)) % 0.37/0.61 (define @t90 () (forall (@list @t57 @t56) (not (tptp.left_convergent_lines @t57 @t56)))) % 0.37/0.61 (assume @p1 (forall @t7 (= (tptp.apart_point_and_line @t3 @t1) @t6))) % 0.37/0.61 (assume @p2 (forall @t14 (= @t13 @t12))) % 0.37/0.61 (assume @p3 (forall @t18 (= (tptp.divides_points @t1 @t3 @t15) (or (and @t5 @t17) (and @t4 @t16))))) % 0.37/0.61 (assume @p4 (forall (@list @t1 @t3 @t15) (= @t22 (and @t21 @t20 (not (or @t16 @t17)) (not (tptp.unequally_directed_lines @t1 @t19)))))) % 0.37/0.61 (assume @p5 (forall (@list @t1 @t3 @t15 @t23) (= @t24 (or (and @t22 (tptp.before_on_line @t1 @t15 @t23)) (and (tptp.before_on_line @t1 @t23 @t15) (tptp.before_on_line @t1 @t15 @t3)))))) % 0.37/0.61 (assume @p6 (forall (@list @t3) (not (tptp.distinct_points @t3 @t3)))) % 0.37/0.61 (assume @p7 (forall (@list @t3 @t15 @t23) (=> @t21 (or (tptp.distinct_points @t3 @t23) (tptp.distinct_points @t15 @t23))))) % 0.37/0.61 (assume @p8 (forall @t25 (not (tptp.distinct_lines @t1 @t1)))) % 0.37/0.61 (assume @p9 (forall @t28 (=> @t27 (or (tptp.distinct_lines @t1 @t26) (tptp.distinct_lines @t8 @t26))))) % 0.37/0.61 (assume @p10 (forall @t25 (not (tptp.unequally_directed_lines @t1 @t1)))) % 0.37/0.61 (assume @p11 (forall @t28 (=> @t11 (or @t30 @t29)))) % 0.37/0.61 (assume @p12 (forall @t28 (=> @t12 (or (and @t30 (tptp.unequally_directed_lines @t1 @t31)) (and @t29 (tptp.unequally_directed_lines @t8 @t31)))))) % 0.37/0.61 (assume @p13 (forall @t14 (=> (and @t33 @t32) (or @t11 @t10)))) % 0.37/0.61 (assume @p14 @t37) % 0.37/0.61 (assume @p15 (forall @t7 @t20)) % 0.37/0.61 (assume @p16 @t38) % 0.37/0.61 (assume @p17 (forall @t40 (=> (and @t39 (tptp.point @t15) @t21) (tptp.line @t19)))) % 0.37/0.61 (assume @p18 (forall @t14 (=> (and @t33 @t32 @t11 @t10) (tptp.point @t41)))) % 0.37/0.61 (assume @p19 (forall (@list @t1 @t3) (=> (and @t39 @t33) (tptp.line @t42)))) % 0.37/0.61 (assume @p20 (forall @t25 (=> @t33 (tptp.line @t2)))) % 0.37/0.61 (assume @p21 (forall @t40 (=> @t21 (and (not (tptp.apart_point_and_line @t3 @t19)) (not (tptp.apart_point_and_line @t15 @t19)))))) % 0.37/0.61 (assume @p22 (forall @t14 (=> @t12 (and (not (tptp.apart_point_and_line @t41 @t1)) (not (tptp.apart_point_and_line @t41 @t8)))))) % 0.37/0.61 (assume @p23 (forall @t7 (not (tptp.apart_point_and_line @t3 @t42)))) % 0.37/0.61 (assume @p24 (forall @t25 (not (tptp.distinct_lines @t1 @t2)))) % 0.37/0.61 (assume @p25 (forall @t40 (not (tptp.unequally_directed_lines @t19 (tptp.reverse_line (tptp.line_connecting @t15 @t3)))))) % 0.37/0.61 (assume @p26 (forall @t7 (not (tptp.unequally_directed_lines @t42 @t1)))) % 0.37/0.61 (assume @p27 (forall (@list @t3 @t15 @t1 @t8) (=> (and @t21 @t27) (or @t5 @t16 (tptp.left_apart_point @t3 @t8) (tptp.left_apart_point @t15 @t8) @t4 @t17 @t43 (tptp.left_apart_point @t15 @t9))))) % 0.37/0.61 (assume @p28 (forall @t18 (=> (and @t21 @t5) (or @t16 (tptp.left_convergent_lines @t19 @t1))))) % 0.37/0.61 (assume @p29 (forall @t18 (=> @t5 (or @t21 @t16)))) % 0.37/0.61 (assume @p30 (forall (@list @t3 @t1 @t8) (=> (and @t5 @t11) (or @t27 @t43)))) % 0.37/0.61 (assume @p31 (forall @t28 (=> @t35 (or @t29 (tptp.left_convergent_lines @t1 @t26))))) % 0.37/0.61 (assume @p32 @t50) % 0.37/0.61 (assume @p33 true) % 0.37/0.61 (step @p34 :rule alpha_equiv :args (@t52 @t53 (@list (@var "BOUND_VARIABLE_7686" $$unsorted) (@var "BOUND_VARIABLE_7688" $$unsorted)))) % 0.37/0.61 (step @p35 :rule alpha_equiv :args (@t55 @t53 (@list @t57 @t56))) % 0.37/0.61 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t58)) % 0.37/0.61 (step @p37 :rule quant-miniscope-and :args ((= (forall @t14 (and @t54 @t51)) @t58))) % 0.37/0.61 (step @p38 :rule trans :premises (@p37 @p36)) % 0.37/0.61 (step @p39 :rule bool-or-de-morgan :args (@t35 @t34 false)) % 0.37/0.61 (step @p40 :rule cong :premises (@p39) :args (@t38)) % 0.37/0.61 (step @p41 :rule trans :premises (@p40 @p38)) % 0.37/0.61 (step @p42 :rule eq_resolve :premises (@p16 @p41)) % 0.37/0.61 (step @p43 :rule and_elim :premises (@p42) :args (0)) % 0.37/0.61 (step @p44 :rule aci_norm :args ((= (or (or @t60 @t59) @t36) (or @t60 @t59 @t35 @t34)))) % 0.37/0.61 (step @p45 :rule refl :args (@t36)) % 0.37/0.61 (step @p46 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 0.37/0.61 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or (not @t12) @t36))) % 0.37/0.61 (step @p48 :rule trans :premises (@p47 @p44)) % 0.37/0.61 (step @p49 :rule bool-impl-elim :args (@t12 @t36)) % 0.37/0.61 (step @p50 :rule trans :premises (@p49 @p48)) % 0.37/0.61 (step @p51 :rule cong :premises (@p50) :args (@t37)) % 0.37/0.61 (step @p52 :rule eq_resolve :premises (@p14 @p51)) % 0.37/0.61 (step @p53 :rule instantiate :premises (@p52) :args (@t67)) % 0.37/0.61 (step @p54 :rule instantiate :premises (@p43) :args (@t67)) % 0.37/0.61 (step @p55 :rule instantiate :premises (@p2) :args (@t67)) % 0.37/0.61 (step @p56 :rule aci_norm :args ((= (or (or @t62 @t61 @t45) @t44) @t63))) % 0.37/0.61 (step @p57 :rule refl :args (@t44)) % 0.37/0.61 (step @p58 :rule bool-double-not-elim :args (@t45)) % 0.37/0.61 (step @p59 :rule refl :args (@t61)) % 0.37/0.61 (step @p60 :rule refl :args (@t62)) % 0.37/0.61 (step @p61 :rule nary_cong :premises (@p60 @p59 @p58) :args (@t69)) % 0.37/0.61 (step @p62 :rule aci_norm :args ((= (or @t62 (or @t61 @t68)) @t69))) % 0.37/0.61 (step @p63 :rule trans :premises (@p62 @p61)) % 0.37/0.61 (step @p64 :rule bool-and-de-morgan :args (@t13 @t46 true)) % 0.37/0.61 (step @p65 :rule nary_cong :premises (@p60 @p64) :args ((or @t62 (not (and @t13 @t46))))) % 0.37/0.61 (step @p66 :rule bool-and-de-morgan :args (@t24 @t13 (and @t46))) % 0.37/0.61 (step @p67 :rule trans :premises (@p66 @p65)) % 0.37/0.61 (step @p68 :rule trans :premises (@p67 @p63)) % 0.37/0.61 (step @p69 :rule nary_cong :premises (@p68 @p57) :args ((or (not @t47) @t44))) % 0.37/0.61 (step @p70 :rule trans :premises (@p69 @p56)) % 0.37/0.61 (step @p71 :rule bool-impl-elim :args (@t47 @t44)) % 0.37/0.61 (step @p72 :rule trans :premises (@p71 @p70)) % 0.37/0.61 (step @p73 :rule cong :premises (@p72) :args (@t49)) % 0.37/0.61 (step @p74 :rule cong :premises (@p73) :args (@t50)) % 0.37/0.61 (step @p75 :rule eq_resolve :premises (@p32 @p74)) % 0.37/0.61 (step @p76 :rule skolemize :premises (@p75)) % 0.37/0.61 (step @p77 :rule bool-double-not-elim :args (@t70)) % 0.37/0.61 (step @p78 :rule refl :args (@t75)) % 0.37/0.61 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t75 (not @t74)))) % 0.37/0.61 (step @p80 :rule cnf_or_neg :args (@t75 1)) % 0.37/0.61 (step @p81 :rule eq_resolve :premises (@p80 @p79)) % 0.37/0.61 (step @p82 :rule reordering :premises (@p81) :args ((or @t70 @t75))) % 0.37/0.61 (step @p83 :rule chain_m_resolution :premises (@p82 @p76) :args (@t70 (@list true) (@list @t75))) % 0.37/0.61 (step @p84 :rule cnf_equiv_pos1 :args (@t80)) % 0.37/0.61 (step @p85 :rule reordering :premises (@p84) :args ((or @t74 @t79 (not @t80)))) % 0.37/0.61 (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p55) :args (@t79 @t81 (@list @t70 @t80))) % 0.37/0.61 (step @p87 :rule cnf_and_pos :args (@t79 1)) % 0.37/0.61 (step @p88 :rule reordering :premises (@p87) :args ((or @t77 @t82))) % 0.37/0.61 (step @p89 :rule chain_m_resolution :premises (@p88 @p86) :args (@t77 @t83 @t84)) % 0.37/0.61 (step @p90 :rule cnf_and_pos :args (@t79 0)) % 0.37/0.61 (step @p91 :rule reordering :premises (@p90) :args ((or @t78 @t82))) % 0.37/0.61 (step @p92 :rule chain_m_resolution :premises (@p91 @p86) :args (@t78 @t83 @t84)) % 0.37/0.61 (step @p93 :rule cnf_or_pos :args (@t89)) % 0.37/0.61 (step @p94 :rule reordering :premises (@p93) :args ((or @t88 @t87 @t86 @t85 (not @t89)))) % 0.37/0.61 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p89 @p54 @p53) :args (@t85 (@list false false true false) (@list @t78 @t77 @t86 @t89))) % 0.37/0.61 (assume-push @p102 @t90) % 0.37/0.61 (step @p97 :rule instantiate :premises (@p43) :args ((@list @t66 @t76))) % 0.37/0.61 (step-pop @p103 :rule scope :premises (@p97)) % 0.37/0.61 (step @p98 :rule process_scope :premises (@p103) :args ((not @t85))) % 0.37/0.61 (step @p100 :rule implies_elim :premises (@p98)) % 0.37/0.61 (step @p101 false :rule chain_m_resolution :premises (@p100 @p95 @p43) :args (false @t81 (@list @t85 @t90))) % 0.37/0.61 ) % 0.37/0.61 % SZS output end Proof % 0.37/0.61 % cvc5 exiting %------------------------------------------------------------------------------