%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO225+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 : n022.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 08:16:50 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO225+2 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n022.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 23:40:54 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.point (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.line (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.58 (define @t2 () (@list @t1)) % 0.38/0.58 (define @t3 () (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.38/0.58 (define @t4 () (@var "Z" $$unsorted)) % 0.38/0.58 (define @t5 () (@var "Y" $$unsorted)) % 0.38/0.58 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.38/0.58 (define @t7 () (tptp.distinct_points @t1 @t5)) % 0.38/0.58 (define @t8 () (@list @t1 @t5 @t4)) % 0.38/0.58 (define @t9 () (tptp.distinct_lines @t5 @t4)) % 0.38/0.58 (define @t10 () (tptp.distinct_lines @t1 @t5)) % 0.38/0.58 (define @t11 () (tptp.convergent_lines @t1 @t5)) % 0.38/0.58 (define @t12 () (and (tptp.distinct_points @t4 @t1) (tptp.distinct_points @t4 @t5))) % 0.38/0.58 (define @t13 () (tptp.apart_point_and_line @t4 (tptp.line_connecting @t1 @t5))) % 0.38/0.58 (define @t14 () (=> @t13 @t12)) % 0.38/0.58 (define @t15 () (forall @t8 (=> @t7 @t14))) % 0.38/0.58 (define @t16 () (tptp.apart_point_and_line @t4 @t5)) % 0.38/0.58 (define @t17 () (@var "V" $$unsorted)) % 0.38/0.58 (define @t18 () (@var "U" $$unsorted)) % 0.38/0.58 (define @t19 () (tptp.apart_point_and_line @t1 @t5)) % 0.38/0.58 (define @t20 () (@var "B" $$unsorted)) % 0.38/0.58 (define @t21 () (@var "A" $$unsorted)) % 0.38/0.58 (define @t22 () (tptp.distinct_points @t21 @t20)) % 0.38/0.58 (define @t23 () (tptp.point @t20)) % 0.38/0.58 (define @t24 () (tptp.point @t21)) % 0.38/0.58 (define @t25 () (and @t24 @t23 @t22)) % 0.38/0.58 (define @t26 () (@list @t21 @t20)) % 0.38/0.58 (define @t27 () (@var "M" $$unsorted)) % 0.38/0.58 (define @t28 () (@var "L" $$unsorted)) % 0.38/0.58 (define @t29 () (tptp.line @t28)) % 0.38/0.58 (define @t30 () (and @t29 @t24)) % 0.38/0.58 (define @t31 () (@list @t28 @t21)) % 0.38/0.58 (define @t32 () (tptp.apart_point_and_line @t20 @t1)) % 0.38/0.58 (define @t33 () (not @t32)) % 0.38/0.58 (define @t34 () (tptp.apart_point_and_line @t21 @t1)) % 0.38/0.58 (define @t35 () (not @t34)) % 0.38/0.58 (define @t36 () (and @t35 @t33)) % 0.38/0.58 (define @t37 () (tptp.line @t1)) % 0.38/0.58 (define @t38 () (=> @t37 @t36)) % 0.38/0.58 (define @t39 () (exists @t2 @t38)) % 0.38/0.58 (define @t40 () (=> @t25 @t39)) % 0.38/0.58 (define @t41 () (forall @t26 @t40)) % 0.38/0.58 (define @t42 () (not @t41)) % 0.38/0.58 (define @t43 () (not @t13)) % 0.38/0.58 (define @t44 () (not @t7)) % 0.38/0.58 (define @t45 () (@var "BOUND_VARIABLE_7611" $$unsorted)) % 0.38/0.58 (define @t46 () (@list @t45)) % 0.38/0.58 (define @t47 () (forall @t46 (or (tptp.apart_point_and_line @t21 @t45) (tptp.apart_point_and_line @t20 @t45)))) % 0.38/0.58 (define @t48 () (not @t47)) % 0.38/0.58 (define @t49 () (not @t22)) % 0.38/0.58 (define @t50 () (not @t23)) % 0.38/0.58 (define @t51 () (not @t24)) % 0.38/0.58 (define @t52 () (or @t51 @t50 @t49 @t48)) % 0.38/0.58 (define @t53 () (forall @t26 @t52)) % 0.38/0.58 (define @t54 () (@quantifiers_skolemize @t53 1)) % 0.38/0.58 (define @t55 () (@quantifiers_skolemize @t53 0)) % 0.38/0.58 (define @t56 () (@var "BOUND_VARIABLE_7606" $$unsorted)) % 0.38/0.58 (define @t57 () (forall (@list @t56) (tptp.line @t56))) % 0.38/0.58 (define @t58 () (not @t57)) % 0.38/0.58 (define @t59 () (or @t58 @t52)) % 0.38/0.58 (define @t60 () (or @t51 @t50 @t49 @t58 @t48)) % 0.38/0.58 (define @t61 () (or @t51 @t50 @t49)) % 0.38/0.58 (define @t62 () (not (and @t57 @t47))) % 0.38/0.58 (define @t63 () (or @t34 @t32)) % 0.38/0.58 (define @t64 () (forall @t2 @t63)) % 0.38/0.58 (define @t65 () (@list @t1)) % 0.38/0.58 (define @t66 () (forall @t2 @t37)) % 0.38/0.58 (define @t67 () (and @t66 @t64)) % 0.38/0.58 (define @t68 () (forall @t2 (not @t38))) % 0.38/0.58 (define @t69 () (not @t68)) % 0.38/0.58 (define @t70 () (forall @t46 (or (tptp.apart_point_and_line @t55 @t45) (tptp.apart_point_and_line @t54 @t45)))) % 0.38/0.58 (define @t71 () (not @t70)) % 0.38/0.58 (define @t72 () (tptp.distinct_points @t55 @t54)) % 0.38/0.58 (define @t73 () (not @t72)) % 0.38/0.58 (define @t74 () (or (not (tptp.point @t55)) (not (tptp.point @t54)) @t73 @t71)) % 0.38/0.58 (define @t75 () (@list true)) % 0.38/0.58 (define @t76 () (@list @t74)) % 0.38/0.58 (define @t77 () (tptp.line_connecting @t55 @t54)) % 0.38/0.58 (define @t78 () (tptp.distinct_points @t55 @t55)) % 0.38/0.58 (define @t79 () (and @t78 @t72)) % 0.38/0.58 (define @t80 () (not @t79)) % 0.38/0.58 (define @t81 () (tptp.apart_point_and_line @t55 @t77)) % 0.38/0.58 (define @t82 () (not @t81)) % 0.38/0.58 (define @t83 () (or @t73 @t82 @t79)) % 0.38/0.58 (define @t84 () (tptp.apart_point_and_line @t54 @t77)) % 0.38/0.58 (define @t85 () (or @t81 @t84)) % 0.38/0.58 (define @t86 () (tptp.distinct_points @t54 @t54)) % 0.38/0.58 (define @t87 () (and (tptp.distinct_points @t54 @t55) @t86)) % 0.38/0.58 (define @t88 () (not @t84)) % 0.38/0.58 (define @t89 () (or @t73 @t88 @t87)) % 0.38/0.58 (assume @p1 @t3) % 0.38/0.58 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.38/0.58 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.38/0.58 (assume @p4 (forall @t8 (=> @t7 (or @t6 (tptp.distinct_points @t5 @t4))))) % 0.38/0.58 (assume @p5 (forall @t8 (=> @t10 (or (tptp.distinct_lines @t1 @t4) @t9)))) % 0.38/0.58 (assume @p6 (forall @t8 (=> @t11 (or (tptp.convergent_lines @t1 @t4) (tptp.convergent_lines @t5 @t4))))) % 0.38/0.58 (assume @p7 @t15) % 0.38/0.58 (assume @p8 (forall @t8 (=> @t11 (=> (or (tptp.apart_point_and_line @t4 @t1) @t16) (tptp.distinct_points @t4 (tptp.intersection_point @t1 @t5)))))) % 0.38/0.58 (assume @p9 (forall (@list @t1 @t5 @t18 @t17) (=> (and @t7 (tptp.distinct_lines @t18 @t17)) (or (tptp.apart_point_and_line @t1 @t18) (tptp.apart_point_and_line @t1 @t17) (tptp.apart_point_and_line @t5 @t18) (tptp.apart_point_and_line @t5 @t17))))) % 0.38/0.58 (assume @p10 (forall @t8 (=> @t19 (or @t6 @t16)))) % 0.38/0.58 (assume @p11 (forall @t8 (=> @t19 (or @t9 (tptp.apart_point_and_line @t1 @t4))))) % 0.38/0.58 (assume @p12 (forall (@list @t1 @t5) (=> @t11 @t10))) % 0.38/0.58 (assume @p13 (forall @t26 (=> @t25 (tptp.line (tptp.line_connecting @t21 @t20))))) % 0.38/0.58 (assume @p14 (forall (@list @t28 @t27) (=> (and @t29 (tptp.line @t27) (tptp.convergent_lines @t28 @t27)) (tptp.point (tptp.intersection_point @t28 @t27))))) % 0.38/0.58 (assume @p15 (forall @t31 (=> @t30 (tptp.line (tptp.parallel_through_point @t28 @t21))))) % 0.38/0.58 (assume @p16 (forall @t31 (=> @t30 (tptp.line (tptp.orthogonal_through_point @t28 @t21))))) % 0.38/0.58 (assume @p17 @t42) % 0.38/0.58 (assume @p18 true) % 0.38/0.58 (step @p19 :rule aci_norm :args ((= (or @t44 (or @t43 @t12)) (or @t44 @t43 @t12)))) % 0.38/0.58 (step @p20 :rule bool-impl-elim :args (@t13 @t12)) % 0.38/0.58 (step @p21 :rule refl :args (@t44)) % 0.38/0.58 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or @t44 @t14))) % 0.38/0.58 (step @p23 :rule trans :premises (@p22 @p19)) % 0.38/0.58 (step @p24 :rule bool-impl-elim :args (@t7 @t14)) % 0.38/0.58 (step @p25 :rule trans :premises (@p24 @p23)) % 0.38/0.58 (step @p26 :rule cong :premises (@p25) :args (@t15)) % 0.38/0.58 (step @p27 :rule eq_resolve :premises (@p7 @p26)) % 0.38/0.58 (step @p28 :rule instantiate :premises (@p27) :args ((@list @t55 @t54 @t54))) % 0.38/0.58 (step @p29 :rule quant-miniscope-or :args ((= (forall @t26 @t59) (or @t58 @t53)))) % 0.38/0.58 (step @p30 :rule aci_norm :args ((= @t60 @t59))) % 0.38/0.58 (step @p31 :rule cong :premises (@p30) :args ((forall @t26 @t60))) % 0.38/0.58 (step @p32 :rule trans :premises (@p31 @p29)) % 0.38/0.58 (step @p33 :rule aci_norm :args ((= (or @t61 (or @t58 @t48)) @t60))) % 0.38/0.58 (step @p34 :rule bool-and-de-morgan :args (@t57 @t47 true)) % 0.38/0.58 (step @p35 :rule aci_norm :args ((= (or @t51 (or @t50 @t49)) @t61))) % 0.38/0.58 (step @p36 :rule bool-and-de-morgan :args (@t23 @t22 true)) % 0.38/0.58 (step @p37 :rule refl :args (@t51)) % 0.38/0.58 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t51 (not (and @t23 @t22))))) % 0.38/0.58 (step @p39 :rule bool-and-de-morgan :args (@t24 @t23 (and @t22))) % 0.38/0.58 (step @p40 :rule trans :premises (@p39 @p38)) % 0.38/0.58 (step @p41 :rule trans :premises (@p40 @p35)) % 0.38/0.58 (step @p42 :rule nary_cong :premises (@p41 @p34) :args ((or (not @t25) @t62))) % 0.38/0.58 (step @p43 :rule trans :premises (@p42 @p33)) % 0.38/0.58 (step @p44 :rule bool-impl-elim :args (@t25 @t62)) % 0.38/0.58 (step @p45 :rule trans :premises (@p44 @p43)) % 0.38/0.58 (step @p46 :rule cong :premises (@p45) :args ((forall @t26 (=> @t25 @t62)))) % 0.38/0.58 (step @p47 :rule trans :premises (@p46 @p32)) % 0.38/0.58 (step @p48 :rule alpha_equiv :args (@t64 @t65 (@list @t45))) % 0.38/0.58 (step @p49 :rule alpha_equiv :args (@t66 @t65 (@list @t56))) % 0.38/0.58 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t67)) % 0.38/0.58 (step @p51 :rule quant-miniscope-and :args ((= (forall @t2 (and @t37 @t63)) @t67))) % 0.38/0.58 (step @p52 :rule trans :premises (@p51 @p50)) % 0.38/0.58 (step @p53 :rule bool-double-not-elim :args (@t32)) % 0.38/0.58 (step @p54 :rule bool-double-not-elim :args (@t34)) % 0.38/0.58 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or (not @t35) (not @t33)))) % 0.38/0.58 (step @p56 :rule bool-and-de-morgan :args (@t35 @t33 true)) % 0.38/0.58 (step @p57 :rule trans :premises (@p56 @p55)) % 0.38/0.58 (step @p58 :rule refl :args (@t37)) % 0.38/0.58 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((and @t37 (not @t36)))) % 0.38/0.58 (step @p60 :rule bool-implies-de-morgan :args (@t37 @t36)) % 0.38/0.58 (step @p61 :rule trans :premises (@p60 @p59)) % 0.38/0.58 (step @p62 :rule cong :premises (@p61) :args (@t68)) % 0.38/0.58 (step @p63 :rule trans :premises (@p62 @p52)) % 0.38/0.58 (step @p64 :rule cong :premises (@p63) :args (@t69)) % 0.38/0.58 (step @p65 :rule exists-elim :args ((= @t39 @t69))) % 0.38/0.58 (step @p66 :rule trans :premises (@p65 @p64)) % 0.38/0.58 (step @p67 :rule refl :args (@t25)) % 0.38/0.58 (step @p68 :rule cong :premises (@p67 @p66) :args (@t40)) % 0.38/0.58 (step @p69 :rule cong :premises (@p68) :args (@t41)) % 0.38/0.58 (step @p70 :rule trans :premises (@p69 @p47)) % 0.38/0.58 (step @p71 :rule cong :premises (@p70) :args (@t42)) % 0.38/0.58 (step @p72 :rule eq_resolve :premises (@p17 @p71)) % 0.38/0.58 (step @p73 :rule not_or_elim :premises (@p72) :args (1)) % 0.38/0.58 (step @p74 :rule skolemize :premises (@p73)) % 0.38/0.58 (step @p75 :rule bool-double-not-elim :args (@t70)) % 0.38/0.58 (step @p76 :rule refl :args (@t74)) % 0.38/0.58 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or @t74 (not @t71)))) % 0.38/0.58 (step @p78 :rule cnf_or_neg :args (@t74 3)) % 0.38/0.58 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 0.38/0.58 (step @p80 :rule reordering :premises (@p79) :args ((or @t70 @t74))) % 0.38/0.58 (step @p81 :rule chain_m_resolution :premises (@p80 @p74) :args (@t70 @t75 @t76)) % 0.38/0.58 (step @p82 :rule instantiate :premises (@p81) :args ((@list @t77))) % 0.38/0.58 (step @p83 :rule instantiate :premises (@p27) :args ((@list @t55 @t54 @t55))) % 0.38/0.58 (step @p84 :rule instantiate :premises (@p1) :args ((@list @t55))) % 0.38/0.58 (step @p85 :rule cnf_and_pos :args (@t79 0)) % 0.38/0.58 (step @p86 :rule reordering :premises (@p85) :args ((or @t78 @t80))) % 0.38/0.58 (step @p87 :rule chain_m_resolution :premises (@p86 @p84) :args (@t80 @t75 (@list @t78))) % 0.38/0.58 (step @p88 :rule bool-double-not-elim :args (@t72)) % 0.38/0.58 (step @p89 :rule nary_cong :premises (@p76 @p88) :args ((or @t74 (not @t73)))) % 0.38/0.58 (step @p90 :rule cnf_or_neg :args (@t74 2)) % 0.38/0.58 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 0.38/0.58 (step @p92 :rule reordering :premises (@p91) :args ((or @t72 @t74))) % 0.38/0.58 (step @p93 :rule chain_m_resolution :premises (@p92 @p74) :args (@t72 @t75 @t76)) % 0.38/0.58 (step @p94 :rule cnf_or_pos :args (@t83)) % 0.38/0.58 (step @p95 :rule reordering :premises (@p94) :args ((or @t73 @t82 @t79 (not @t83)))) % 0.38/0.58 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p87 @p83) :args (@t82 (@list false true false) (@list @t72 @t79 @t83))) % 0.38/0.58 (step @p97 :rule cnf_or_pos :args (@t85)) % 0.38/0.58 (step @p98 :rule reordering :premises (@p97) :args ((or @t81 @t84 (not @t85)))) % 0.38/0.58 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p82) :args (@t84 (@list true false) (@list @t81 @t85))) % 0.38/0.58 (step @p100 :rule cnf_or_pos :args (@t89)) % 0.38/0.58 (step @p101 :rule reordering :premises (@p100) :args ((or @t73 @t88 @t87 (not @t89)))) % 0.38/0.58 (step @p102 :rule chain_m_resolution :premises (@p101 @p93 @p99 @p28) :args (@t87 (@list false false false) (@list @t72 @t84 @t89))) % 0.38/0.58 (step @p103 :rule cnf_and_pos :args (@t87 1)) % 0.38/0.58 (step @p104 :rule reordering :premises (@p103) :args ((or @t86 (not @t87)))) % 0.38/0.58 (step @p105 :rule chain_m_resolution :premises (@p104 @p102) :args (@t86 (@list false) (@list @t87))) % 0.38/0.58 (assume-push @p112 @t3) % 0.38/0.58 (step @p107 :rule instantiate :premises (@p1) :args ((@list @t54))) % 0.38/0.58 (step-pop @p113 :rule scope :premises (@p107)) % 0.38/0.58 (step @p108 :rule process_scope :premises (@p113) :args ((not @t86))) % 0.38/0.58 (step @p110 :rule implies_elim :premises (@p108)) % 0.38/0.58 (step @p111 false :rule chain_m_resolution :premises (@p110 @p105 @p1) :args (false (@list false false) (@list @t86 @t3))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------