%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO200+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n025.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 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO200+3 : TPTP v9.2.1. Released v4.0.0. % 0.14/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.33 % Computer : n025.cluster.edu % 0.17/0.33 % Model : x86_64 x86_64 % 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.33 % Memory : 8042.1875MB % 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.33 % CPULimit : 300 % 0.17/0.33 % WCLimit : 300 % 0.17/0.33 % DateTime : Mon Jun 1 23:40:01 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.58 % SZS status Theorem % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.line (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.point (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.equal_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.58 (define @t2 () (@list @t1)) % 0.39/0.58 (define @t3 () (@var "Z" $$unsorted)) % 0.39/0.58 (define @t4 () (@var "Y" $$unsorted)) % 0.39/0.58 (define @t5 () (tptp.distinct_points @t4 @t3)) % 0.39/0.58 (define @t6 () (tptp.distinct_points @t1 @t3)) % 0.39/0.58 (define @t7 () (or @t6 @t5)) % 0.39/0.58 (define @t8 () (tptp.distinct_points @t1 @t4)) % 0.39/0.58 (define @t9 () (@list @t1 @t4 @t3)) % 0.39/0.58 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.39/0.58 (define @t11 () (tptp.distinct_lines @t4 @t3)) % 0.39/0.58 (define @t12 () (tptp.distinct_lines @t1 @t4)) % 0.39/0.58 (define @t13 () (tptp.convergent_lines @t4 @t3)) % 0.39/0.58 (define @t14 () (tptp.convergent_lines @t1 @t3)) % 0.39/0.58 (define @t15 () (tptp.convergent_lines @t1 @t4)) % 0.39/0.58 (define @t16 () (tptp.line_connecting @t1 @t4)) % 0.39/0.58 (define @t17 () (not (tptp.apart_point_and_line @t1 @t16))) % 0.39/0.58 (define @t18 () (@list @t1 @t4)) % 0.39/0.58 (define @t19 () (forall @t18 (=> @t8 @t17))) % 0.39/0.58 (define @t20 () (not (tptp.apart_point_and_line @t4 @t16))) % 0.39/0.58 (define @t21 () (forall @t18 (=> @t8 @t20))) % 0.39/0.58 (define @t22 () (tptp.intersection_point @t1 @t4)) % 0.39/0.58 (define @t23 () (@var "V" $$unsorted)) % 0.39/0.58 (define @t24 () (tptp.apart_point_and_line @t4 @t23)) % 0.39/0.58 (define @t25 () (@var "U" $$unsorted)) % 0.39/0.58 (define @t26 () (tptp.apart_point_and_line @t4 @t25)) % 0.39/0.58 (define @t27 () (tptp.apart_point_and_line @t1 @t23)) % 0.39/0.58 (define @t28 () (tptp.apart_point_and_line @t1 @t25)) % 0.39/0.58 (define @t29 () (or @t28 @t27 @t26 @t24)) % 0.39/0.58 (define @t30 () (tptp.distinct_lines @t25 @t23)) % 0.39/0.58 (define @t31 () (and @t8 @t30)) % 0.39/0.58 (define @t32 () (forall (@list @t1 @t4 @t25 @t23) (=> @t31 @t29))) % 0.39/0.58 (define @t33 () (tptp.apart_point_and_line @t1 @t4)) % 0.39/0.58 (define @t34 () (tptp.apart_point_and_line @t1 @t3)) % 0.39/0.58 (define @t35 () (tptp.parallel_through_point @t4 @t1)) % 0.39/0.58 (define @t36 () (@var "M" $$unsorted)) % 0.39/0.58 (define @t37 () (@var "L" $$unsorted)) % 0.39/0.58 (define @t38 () (tptp.unorthogonal_lines @t37 @t36)) % 0.39/0.58 (define @t39 () (tptp.convergent_lines @t37 @t36)) % 0.39/0.58 (define @t40 () (@list @t37 @t36)) % 0.39/0.58 (define @t41 () (@var "N" $$unsorted)) % 0.39/0.58 (define @t42 () (tptp.unorthogonal_lines @t36 @t41)) % 0.39/0.58 (define @t43 () (tptp.convergent_lines @t36 @t41)) % 0.39/0.58 (define @t44 () (tptp.unorthogonal_lines @t37 @t41)) % 0.39/0.58 (define @t45 () (tptp.convergent_lines @t37 @t41)) % 0.39/0.58 (define @t46 () (@list @t37 @t36 @t41)) % 0.39/0.58 (define @t47 () (@var "A" $$unsorted)) % 0.39/0.58 (define @t48 () (tptp.orthogonal_through_point @t37 @t47)) % 0.39/0.58 (define @t49 () (@list @t47 @t37)) % 0.39/0.58 (define @t50 () (not @t38)) % 0.39/0.58 (define @t51 () (not @t39)) % 0.39/0.58 (define @t52 () (not @t43)) % 0.39/0.58 (define @t53 () (not @t44)) % 0.39/0.58 (define @t54 () (@var "B" $$unsorted)) % 0.39/0.58 (define @t55 () (tptp.point @t47)) % 0.39/0.58 (define @t56 () (tptp.line @t37)) % 0.39/0.58 (define @t57 () (and @t56 @t55)) % 0.39/0.58 (define @t58 () (@list @t37 @t47)) % 0.39/0.58 (define @t59 () (not @t8)) % 0.39/0.58 (define @t60 () (tptp.equal_lines @t16 (tptp.line_connecting @t4 @t1))) % 0.39/0.58 (define @t61 () (forall @t18 (=> @t8 @t60))) % 0.39/0.58 (define @t62 () (not @t61)) % 0.39/0.58 (define @t63 () (forall @t18 (or @t59 @t60))) % 0.39/0.58 (define @t64 () (@quantifiers_skolemize @t63 1)) % 0.39/0.58 (define @t65 () (@quantifiers_skolemize @t63 0)) % 0.39/0.58 (define @t66 () (tptp.distinct_points @t65 @t64)) % 0.39/0.58 (define @t67 () (tptp.line_connecting @t64 @t65)) % 0.39/0.58 (define @t68 () (tptp.line_connecting @t65 @t64)) % 0.39/0.58 (define @t69 () (tptp.equal_lines @t68 @t67)) % 0.39/0.58 (define @t70 () (not @t66)) % 0.39/0.58 (define @t71 () (or @t70 @t69)) % 0.39/0.58 (define @t72 () (@list true)) % 0.39/0.58 (define @t73 () (@list @t71)) % 0.39/0.58 (define @t74 () (@list @t65 @t64)) % 0.39/0.58 (define @t75 () (tptp.apart_point_and_line @t65 @t68)) % 0.39/0.58 (define @t76 () (not @t75)) % 0.39/0.58 (define @t77 () (or @t70 @t76)) % 0.39/0.58 (define @t78 () (@list false false)) % 0.39/0.58 (define @t79 () (tptp.apart_point_and_line @t64 @t68)) % 0.39/0.58 (define @t80 () (not @t79)) % 0.39/0.58 (define @t81 () (or @t70 @t80)) % 0.39/0.58 (define @t82 () (tptp.distinct_lines @t68 @t67)) % 0.39/0.58 (define @t83 () (not @t82)) % 0.39/0.58 (define @t84 () (= @t69 @t83)) % 0.39/0.58 (define @t85 () (not @t84)) % 0.39/0.58 (define @t86 () (not @t30)) % 0.39/0.58 (define @t87 () (@list @t64 @t65)) % 0.39/0.58 (define @t88 () (tptp.distinct_points @t64 @t65)) % 0.39/0.58 (define @t89 () (tptp.distinct_points @t65 @t65)) % 0.39/0.58 (define @t90 () (or @t70 @t89 @t88)) % 0.39/0.58 (define @t91 () (tptp.apart_point_and_line @t64 @t67)) % 0.39/0.58 (define @t92 () (not @t91)) % 0.39/0.58 (define @t93 () (not @t88)) % 0.39/0.58 (define @t94 () (or @t93 @t92)) % 0.39/0.58 (define @t95 () (tptp.apart_point_and_line @t65 @t67)) % 0.39/0.58 (define @t96 () (not @t95)) % 0.39/0.58 (define @t97 () (or @t93 @t96)) % 0.39/0.58 (define @t98 () (or @t70 @t83 @t75 @t95 @t79 @t91)) % 0.39/0.58 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.39/0.58 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.39/0.58 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.39/0.58 (assume @p4 @t10) % 0.39/0.58 (assume @p5 (forall @t9 (=> @t12 (or (tptp.distinct_lines @t1 @t3) @t11)))) % 0.39/0.58 (assume @p6 (forall @t9 (=> @t15 (or @t14 @t13)))) % 0.39/0.58 (assume @p7 @t19) % 0.39/0.58 (assume @p8 @t21) % 0.39/0.58 (assume @p9 (forall @t18 (=> @t15 (not (tptp.apart_point_and_line @t22 @t1))))) % 0.39/0.58 (assume @p10 (forall @t18 (=> @t15 (not (tptp.apart_point_and_line @t22 @t4))))) % 0.39/0.58 (assume @p11 @t32) % 0.39/0.58 (assume @p12 (forall @t9 (=> @t33 (or @t6 (tptp.apart_point_and_line @t3 @t4))))) % 0.39/0.58 (assume @p13 (forall @t9 (=> @t33 (or @t11 @t34)))) % 0.39/0.58 (assume @p14 (forall @t9 (=> @t15 (or @t11 @t14)))) % 0.39/0.58 (assume @p15 (forall @t18 (=> @t12 @t15))) % 0.39/0.58 (assume @p16 (forall @t18 (not (tptp.convergent_lines @t35 @t4)))) % 0.39/0.58 (assume @p17 (forall @t18 (not (tptp.apart_point_and_line @t1 @t35)))) % 0.39/0.58 (assume @p18 (forall @t9 (=> @t11 (or @t33 @t34 @t13)))) % 0.39/0.58 (assume @p19 (forall @t40 (or @t39 @t38))) % 0.39/0.58 (assume @p20 (forall @t46 (=> (and @t39 @t38) (or (and @t45 @t44) (and @t43 @t42))))) % 0.39/0.58 (assume @p21 (forall @t49 (not (tptp.unorthogonal_lines @t48 @t37)))) % 0.39/0.58 (assume @p22 (forall @t49 (not (tptp.apart_point_and_line @t47 @t48)))) % 0.39/0.58 (assume @p23 (forall (@list @t47 @t37 @t36 @t41) (=> (tptp.distinct_lines @t37 @t36) (or (tptp.apart_point_and_line @t47 @t37) (tptp.apart_point_and_line @t47 @t36) @t44 @t42)))) % 0.39/0.58 (assume @p24 (forall @t40 (not (and @t51 @t50)))) % 0.39/0.58 (assume @p25 (forall @t46 (=> (and (or @t51 @t50) (or (not @t45) @t53)) (or @t52 (not @t42))))) % 0.39/0.58 (assume @p26 (forall @t46 (=> (and @t50 @t53) @t52))) % 0.39/0.58 (assume @p27 (forall (@list @t47 @t54) (=> (and @t55 (tptp.point @t54) (tptp.distinct_points @t47 @t54)) (tptp.line (tptp.line_connecting @t47 @t54))))) % 0.39/0.58 (assume @p28 (forall @t40 (=> (and @t56 (tptp.line @t36) @t39) (tptp.point (tptp.intersection_point @t37 @t36))))) % 0.39/0.58 (assume @p29 (forall @t58 (=> @t57 (tptp.line (tptp.parallel_through_point @t37 @t47))))) % 0.39/0.58 (assume @p30 (forall @t58 (=> @t57 (tptp.line @t48)))) % 0.39/0.58 (assume @p31 (forall @t18 (= (tptp.equal_points @t1 @t4) @t59))) % 0.39/0.58 (assume @p32 (forall @t18 (= (tptp.equal_lines @t1 @t4) (not @t12)))) % 0.39/0.58 (assume @p33 (forall @t18 (= (tptp.parallel_lines @t1 @t4) (not @t15)))) % 0.39/0.58 (assume @p34 (forall @t18 (= (tptp.incident_point_and_line @t1 @t4) (not @t33)))) % 0.39/0.58 (assume @p35 (forall @t18 (= (tptp.orthogonal_lines @t1 @t4) (not (tptp.unorthogonal_lines @t1 @t4))))) % 0.39/0.58 (assume @p36 @t62) % 0.39/0.58 (assume @p37 true) % 0.39/0.58 (step @p38 :rule bool-impl-elim :args (@t8 @t60)) % 0.39/0.58 (step @p39 :rule cong :premises (@p38) :args (@t61)) % 0.39/0.58 (step @p40 :rule cong :premises (@p39) :args (@t62)) % 0.39/0.58 (step @p41 :rule eq_resolve :premises (@p36 @p40)) % 0.39/0.58 (step @p42 :rule skolemize :premises (@p41)) % 0.39/0.58 (step @p43 :rule bool-double-not-elim :args (@t66)) % 0.39/0.58 (step @p44 :rule refl :args (@t71)) % 0.39/0.58 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t71 (not @t70)))) % 0.39/0.58 (step @p46 :rule cnf_or_neg :args (@t71 0)) % 0.39/0.58 (step @p47 :rule eq_resolve :premises (@p46 @p45)) % 0.39/0.58 (step @p48 :rule reordering :premises (@p47) :args ((or @t66 @t71))) % 0.39/0.58 (step @p49 :rule chain_m_resolution :premises (@p48 @p42) :args (@t66 @t72 @t73)) % 0.39/0.58 (step @p50 :rule bool-impl-elim :args (@t8 @t17)) % 0.39/0.58 (step @p51 :rule cong :premises (@p50) :args (@t19)) % 0.39/0.58 (step @p52 :rule eq_resolve :premises (@p7 @p51)) % 0.39/0.58 (step @p53 :rule instantiate :premises (@p52) :args (@t74)) % 0.39/0.58 (step @p54 :rule cnf_or_pos :args (@t77)) % 0.39/0.58 (step @p55 :rule reordering :premises (@p54) :args ((or @t70 @t76 (not @t77)))) % 0.39/0.58 (step @p56 :rule chain_m_resolution :premises (@p55 @p49 @p53) :args (@t76 @t78 (@list @t66 @t77))) % 0.39/0.58 (step @p57 :rule bool-impl-elim :args (@t8 @t20)) % 0.39/0.58 (step @p58 :rule cong :premises (@p57) :args (@t21)) % 0.39/0.58 (step @p59 :rule eq_resolve :premises (@p8 @p58)) % 0.39/0.58 (step @p60 :rule instantiate :premises (@p59) :args (@t74)) % 0.39/0.58 (step @p61 :rule cnf_or_pos :args (@t81)) % 0.39/0.58 (step @p62 :rule reordering :premises (@p61) :args ((or @t70 @t80 (not @t81)))) % 0.39/0.58 (step @p63 :rule chain_m_resolution :premises (@p62 @p49 @p60) :args (@t80 @t78 (@list @t66 @t81))) % 0.39/0.58 (step @p64 :rule instantiate :premises (@p32) :args ((@list @t68 @t67))) % 0.39/0.58 (step @p65 :rule cnf_or_neg :args (@t71 1)) % 0.39/0.58 (step @p66 :rule chain_m_resolution :premises (@p65 @p42) :args ((not @t69) @t72 @t73)) % 0.39/0.58 (step @p67 :rule bool-double-not-elim :args (@t82)) % 0.39/0.58 (step @p68 :rule refl :args (@t69)) % 0.39/0.58 (step @p69 :rule refl :args (@t85)) % 0.39/0.58 (step @p70 :rule nary_cong :premises (@p69 @p68 @p67) :args ((or @t85 @t69 (not @t83)))) % 0.39/0.58 (step @p71 :rule cnf_equiv_pos2 :args (@t84)) % 0.39/0.58 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 0.39/0.58 (step @p73 :rule reordering :premises (@p72) :args ((or @t69 @t82 @t85))) % 0.39/0.58 (step @p74 :rule chain_m_resolution :premises (@p73 @p66 @p64) :args (@t82 (@list true false) (@list @t69 @t84))) % 0.39/0.58 (step @p75 :rule aci_norm :args ((= (or (or @t59 @t86) @t29) (or @t59 @t86 @t28 @t27 @t26 @t24)))) % 0.39/0.58 (step @p76 :rule refl :args (@t29)) % 0.39/0.58 (step @p77 :rule bool-and-de-morgan :args (@t8 @t30 true)) % 0.39/0.58 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or (not @t31) @t29))) % 0.39/0.58 (step @p79 :rule trans :premises (@p78 @p75)) % 0.39/0.58 (step @p80 :rule bool-impl-elim :args (@t31 @t29)) % 0.39/0.58 (step @p81 :rule trans :premises (@p80 @p79)) % 0.39/0.58 (step @p82 :rule cong :premises (@p81) :args (@t32)) % 0.39/0.58 (step @p83 :rule eq_resolve :premises (@p11 @p82)) % 0.39/0.58 (step @p84 :rule instantiate :premises (@p83) :args ((@list @t65 @t64 @t68 @t67))) % 0.39/0.58 (step @p85 :rule instantiate :premises (@p52) :args (@t87)) % 0.39/0.58 (step @p86 :rule aci_norm :args ((= (or @t59 @t7) (or @t59 @t6 @t5)))) % 0.39/0.58 (step @p87 :rule bool-impl-elim :args (@t8 @t7)) % 0.39/0.58 (step @p88 :rule trans :premises (@p87 @p86)) % 0.39/0.58 (step @p89 :rule cong :premises (@p88) :args (@t10)) % 0.39/0.58 (step @p90 :rule eq_resolve :premises (@p4 @p89)) % 0.39/0.58 (step @p91 :rule instantiate :premises (@p90) :args ((@list @t65 @t64 @t65))) % 0.39/0.58 (step @p92 :rule instantiate :premises (@p1) :args ((@list @t65))) % 0.39/0.58 (step @p93 :rule cnf_or_pos :args (@t90)) % 0.39/0.58 (step @p94 :rule reordering :premises (@p93) :args ((or @t70 @t88 @t89 (not @t90)))) % 0.39/0.58 (step @p95 :rule chain_m_resolution :premises (@p94 @p49 @p92 @p91) :args (@t88 (@list false true false) (@list @t66 @t89 @t90))) % 0.39/0.58 (step @p96 :rule cnf_or_pos :args (@t94)) % 0.39/0.58 (step @p97 :rule reordering :premises (@p96) :args ((or @t93 @t92 (not @t94)))) % 0.39/0.58 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p85) :args (@t92 @t78 (@list @t88 @t94))) % 0.39/0.58 (step @p99 :rule instantiate :premises (@p59) :args (@t87)) % 0.39/0.58 (step @p100 :rule cnf_or_pos :args (@t97)) % 0.39/0.58 (step @p101 :rule reordering :premises (@p100) :args ((or @t93 @t96 (not @t97)))) % 0.39/0.58 (step @p102 :rule chain_m_resolution :premises (@p101 @p95 @p99) :args (@t96 @t78 (@list @t88 @t97))) % 0.39/0.58 (step @p103 :rule cnf_or_pos :args (@t98)) % 0.39/0.58 (step @p104 :rule reordering :premises (@p103) :args ((or @t70 @t75 @t91 @t79 @t95 @t83 (not @t98)))) % 0.39/0.58 (step @p105 false :rule chain_m_resolution :premises (@p104 @p102 @p98 @p84 @p74 @p63 @p56 @p49) :args (false (@list true true false false true true false) (@list @t95 @t91 @t98 @t82 @t79 @t75 @t66))) % 0.39/0.59 ) % 0.39/0.59 % SZS output end Proof % 0.39/0.59 % cvc5 exiting %------------------------------------------------------------------------------