%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO201+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 : n003.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 08:16:42 AM UTC 2026 % Result : Theorem 0.40s 0.59s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO201+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 % 0.18/0.34 % Computer : n003.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 23:39:44 EDT 2026 % 0.18/0.35 % CPUTime : % 0.35/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.59 % SZS status Theorem % 0.40/0.59 % SZS output start Proof % 0.40/0.59 ( % 0.40/0.59 (declare-sort $$unsorted 0) % 0.40/0.59 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.59 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.59 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (define @t1 () (@var "X" $$unsorted)) % 0.40/0.59 (define @t2 () (@list @t1)) % 0.40/0.59 (define @t3 () (@var "Z" $$unsorted)) % 0.40/0.59 (define @t4 () (@var "Y" $$unsorted)) % 0.40/0.59 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.40/0.59 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.40/0.59 (define @t7 () (@list @t1 @t4 @t3)) % 0.40/0.59 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.40/0.59 (define @t9 () (tptp.distinct_lines @t1 @t4)) % 0.40/0.59 (define @t10 () (tptp.convergent_lines @t4 @t3)) % 0.40/0.59 (define @t11 () (tptp.convergent_lines @t1 @t3)) % 0.40/0.59 (define @t12 () (or @t11 @t10)) % 0.40/0.59 (define @t13 () (tptp.convergent_lines @t1 @t4)) % 0.40/0.59 (define @t14 () (forall @t7 (=> @t13 @t12))) % 0.40/0.59 (define @t15 () (tptp.intersection_point @t1 @t4)) % 0.40/0.59 (define @t16 () (tptp.distinct_points @t3 @t15)) % 0.40/0.59 (define @t17 () (tptp.apart_point_and_line @t3 @t4)) % 0.40/0.59 (define @t18 () (tptp.apart_point_and_line @t3 @t1)) % 0.40/0.59 (define @t19 () (or @t18 @t17)) % 0.40/0.59 (define @t20 () (=> @t19 @t16)) % 0.40/0.59 (define @t21 () (forall @t7 (=> @t13 @t20))) % 0.40/0.59 (define @t22 () (@var "V" $$unsorted)) % 0.40/0.59 (define @t23 () (tptp.apart_point_and_line @t4 @t22)) % 0.40/0.59 (define @t24 () (@var "U" $$unsorted)) % 0.40/0.59 (define @t25 () (tptp.apart_point_and_line @t4 @t24)) % 0.40/0.59 (define @t26 () (tptp.apart_point_and_line @t1 @t22)) % 0.40/0.59 (define @t27 () (tptp.apart_point_and_line @t1 @t24)) % 0.40/0.59 (define @t28 () (or @t27 @t26 @t25 @t23)) % 0.40/0.59 (define @t29 () (tptp.distinct_lines @t24 @t22)) % 0.40/0.59 (define @t30 () (and @t6 @t29)) % 0.40/0.59 (define @t31 () (forall (@list @t1 @t4 @t24 @t22) (=> @t30 @t28))) % 0.40/0.59 (define @t32 () (tptp.apart_point_and_line @t1 @t4)) % 0.40/0.59 (define @t33 () (@list @t1 @t4)) % 0.40/0.59 (define @t34 () (forall @t33 (=> @t13 @t9))) % 0.40/0.59 (define @t35 () (not (tptp.distinct_points @t15 (tptp.intersection_point @t4 @t1)))) % 0.40/0.59 (define @t36 () (forall @t33 (=> @t13 @t35))) % 0.40/0.59 (define @t37 () (not @t36)) % 0.40/0.59 (define @t38 () (and (not @t18) (not @t17))) % 0.40/0.59 (define @t39 () (not @t13)) % 0.40/0.59 (define @t40 () (forall @t33 (or @t39 @t35))) % 0.40/0.59 (define @t41 () (@quantifiers_skolemize @t40 0)) % 0.40/0.59 (define @t42 () (@quantifiers_skolemize @t40 1)) % 0.40/0.59 (define @t43 () (tptp.intersection_point @t42 @t41)) % 0.40/0.59 (define @t44 () (tptp.distinct_lines @t41 @t41)) % 0.40/0.59 (define @t45 () (tptp.convergent_lines @t41 @t41)) % 0.40/0.59 (define @t46 () (not @t45)) % 0.40/0.59 (define @t47 () (or @t46 @t44)) % 0.40/0.59 (define @t48 () (tptp.convergent_lines @t41 @t42)) % 0.40/0.59 (define @t49 () (tptp.intersection_point @t41 @t42)) % 0.40/0.59 (define @t50 () (tptp.distinct_points @t49 @t43)) % 0.40/0.59 (define @t51 () (not @t50)) % 0.40/0.59 (define @t52 () (not @t48)) % 0.40/0.59 (define @t53 () (or @t52 @t51)) % 0.40/0.59 (define @t54 () (@list true)) % 0.40/0.59 (define @t55 () (@list @t53)) % 0.40/0.59 (define @t56 () (tptp.convergent_lines @t42 @t41)) % 0.40/0.59 (define @t57 () (or @t52 @t45 @t56)) % 0.40/0.59 (define @t58 () (@list false true false)) % 0.40/0.59 (define @t59 () (tptp.distinct_points @t43 @t43)) % 0.40/0.59 (define @t60 () (tptp.apart_point_and_line @t43 @t41)) % 0.40/0.59 (define @t61 () (not @t60)) % 0.40/0.59 (define @t62 () (tptp.apart_point_and_line @t43 @t42)) % 0.40/0.59 (define @t63 () (not @t62)) % 0.40/0.59 (define @t64 () (and @t63 @t61)) % 0.40/0.59 (define @t65 () (not @t56)) % 0.40/0.59 (define @t66 () (or @t65 @t64 @t59)) % 0.40/0.59 (define @t67 () (tptp.distinct_points @t49 @t49)) % 0.40/0.59 (define @t68 () (tptp.apart_point_and_line @t49 @t42)) % 0.40/0.59 (define @t69 () (not @t68)) % 0.40/0.59 (define @t70 () (tptp.apart_point_and_line @t49 @t41)) % 0.40/0.59 (define @t71 () (not @t70)) % 0.40/0.59 (define @t72 () (and @t71 @t69)) % 0.40/0.59 (define @t73 () (or @t52 @t72 @t67)) % 0.40/0.59 (define @t74 () (not @t72)) % 0.40/0.59 (define @t75 () (@list false)) % 0.40/0.59 (define @t76 () (@list @t72)) % 0.40/0.59 (define @t77 () (not @t64)) % 0.40/0.59 (define @t78 () (tptp.distinct_lines @t41 @t42)) % 0.40/0.59 (define @t79 () (or @t52 @t78)) % 0.40/0.59 (define @t80 () (not @t29)) % 0.40/0.59 (define @t81 () (not @t6)) % 0.40/0.59 (define @t82 () (not @t78)) % 0.40/0.59 (define @t83 () (or @t51 @t82 @t70 @t68 @t60 @t62)) % 0.40/0.59 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.40/0.59 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.40/0.59 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.40/0.59 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.40/0.59 (assume @p5 (forall @t7 (=> @t9 (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.40/0.59 (assume @p6 @t14) % 0.40/0.59 (assume @p7 (forall @t7 (=> @t6 (=> (tptp.apart_point_and_line @t3 (tptp.line_connecting @t1 @t4)) (and (tptp.distinct_points @t3 @t1) (tptp.distinct_points @t3 @t4)))))) % 0.40/0.59 (assume @p8 @t21) % 0.40/0.59 (assume @p9 @t31) % 0.40/0.59 (assume @p10 (forall @t7 (=> @t32 (or @t5 @t17)))) % 0.40/0.59 (assume @p11 (forall @t7 (=> @t32 (or @t8 (tptp.apart_point_and_line @t1 @t3))))) % 0.40/0.59 (assume @p12 @t34) % 0.40/0.59 (assume @p13 @t37) % 0.40/0.59 (assume @p14 true) % 0.40/0.59 (step @p15 :rule aci_norm :args ((= (or @t39 (or @t38 @t16)) (or @t39 @t38 @t16)))) % 0.40/0.59 (step @p16 :rule refl :args (@t16)) % 0.40/0.59 (step @p17 :rule bool-or-de-morgan :args (@t18 @t17 false)) % 0.40/0.59 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or (not @t19) @t16))) % 0.40/0.59 (step @p19 :rule bool-impl-elim :args (@t19 @t16)) % 0.40/0.59 (step @p20 :rule trans :premises (@p19 @p18)) % 0.40/0.59 (step @p21 :rule refl :args (@t39)) % 0.40/0.59 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or @t39 @t20))) % 0.40/0.59 (step @p23 :rule trans :premises (@p22 @p15)) % 0.40/0.59 (step @p24 :rule bool-impl-elim :args (@t13 @t20)) % 0.40/0.59 (step @p25 :rule trans :premises (@p24 @p23)) % 0.40/0.59 (step @p26 :rule cong :premises (@p25) :args (@t21)) % 0.40/0.59 (step @p27 :rule eq_resolve :premises (@p8 @p26)) % 0.40/0.59 (step @p28 :rule instantiate :premises (@p27) :args ((@list @t42 @t41 @t43))) % 0.40/0.59 (step @p29 :rule aci_norm :args ((= (or @t39 @t12) (or @t39 @t11 @t10)))) % 0.40/0.59 (step @p30 :rule bool-impl-elim :args (@t13 @t12)) % 0.40/0.59 (step @p31 :rule trans :premises (@p30 @p29)) % 0.40/0.59 (step @p32 :rule cong :premises (@p31) :args (@t14)) % 0.40/0.59 (step @p33 :rule eq_resolve :premises (@p6 @p32)) % 0.40/0.59 (step @p34 :rule instantiate :premises (@p33) :args ((@list @t41 @t42 @t41))) % 0.40/0.59 (step @p35 :rule bool-impl-elim :args (@t13 @t9)) % 0.40/0.59 (step @p36 :rule cong :premises (@p35) :args (@t34)) % 0.40/0.59 (step @p37 :rule eq_resolve :premises (@p12 @p36)) % 0.40/0.59 (step @p38 :rule instantiate :premises (@p37) :args ((@list @t41 @t41))) % 0.40/0.59 (step @p39 :rule instantiate :premises (@p2) :args ((@list @t41))) % 0.40/0.59 (step @p40 :rule cnf_or_pos :args (@t47)) % 0.40/0.59 (step @p41 :rule reordering :premises (@p40) :args ((or @t44 @t46 (not @t47)))) % 0.40/0.59 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p38) :args (@t46 (@list true false) (@list @t44 @t47))) % 0.40/0.59 (step @p43 :rule bool-impl-elim :args (@t13 @t35)) % 0.40/0.59 (step @p44 :rule cong :premises (@p43) :args (@t36)) % 0.40/0.59 (step @p45 :rule cong :premises (@p44) :args (@t37)) % 0.40/0.59 (step @p46 :rule eq_resolve :premises (@p13 @p45)) % 0.40/0.59 (step @p47 :rule skolemize :premises (@p46)) % 0.40/0.59 (step @p48 :rule bool-double-not-elim :args (@t48)) % 0.40/0.59 (step @p49 :rule refl :args (@t53)) % 0.40/0.59 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or @t53 (not @t52)))) % 0.40/0.59 (step @p51 :rule cnf_or_neg :args (@t53 0)) % 0.40/0.59 (step @p52 :rule eq_resolve :premises (@p51 @p50)) % 0.40/0.59 (step @p53 :rule reordering :premises (@p52) :args ((or @t48 @t53))) % 0.40/0.59 (step @p54 :rule chain_m_resolution :premises (@p53 @p47) :args (@t48 @t54 @t55)) % 0.40/0.59 (step @p55 :rule cnf_or_pos :args (@t57)) % 0.40/0.59 (step @p56 :rule reordering :premises (@p55) :args ((or @t52 @t56 @t45 (not @t57)))) % 0.40/0.59 (step @p57 :rule chain_m_resolution :premises (@p56 @p54 @p42 @p34) :args (@t56 @t58 (@list @t48 @t45 @t57))) % 0.40/0.59 (step @p58 :rule instantiate :premises (@p1) :args ((@list @t43))) % 0.40/0.59 (step @p59 :rule cnf_or_pos :args (@t66)) % 0.40/0.59 (step @p60 :rule reordering :premises (@p59) :args ((or @t59 @t65 @t64 (not @t66)))) % 0.40/0.59 (step @p61 :rule chain_m_resolution :premises (@p60 @p58 @p57 @p28) :args (@t64 (@list true false false) (@list @t59 @t56 @t66))) % 0.40/0.59 (step @p62 :rule instantiate :premises (@p27) :args ((@list @t41 @t42 @t49))) % 0.40/0.59 (step @p63 :rule instantiate :premises (@p1) :args ((@list @t49))) % 0.40/0.59 (step @p64 :rule cnf_or_pos :args (@t73)) % 0.40/0.59 (step @p65 :rule reordering :premises (@p64) :args ((or @t52 @t72 @t67 (not @t73)))) % 0.40/0.59 (step @p66 :rule chain_m_resolution :premises (@p65 @p54 @p63 @p62) :args (@t72 @t58 (@list @t48 @t67 @t73))) % 0.40/0.59 (step @p67 :rule cnf_and_pos :args (@t72 0)) % 0.40/0.59 (step @p68 :rule reordering :premises (@p67) :args ((or @t71 @t74))) % 0.40/0.59 (step @p69 :rule chain_m_resolution :premises (@p68 @p66) :args (@t71 @t75 @t76)) % 0.40/0.59 (step @p70 :rule cnf_and_pos :args (@t72 1)) % 0.40/0.59 (step @p71 :rule reordering :premises (@p70) :args ((or @t69 @t74))) % 0.40/0.59 (step @p72 :rule chain_m_resolution :premises (@p71 @p66) :args (@t69 @t75 @t76)) % 0.40/0.59 (step @p73 :rule cnf_and_pos :args (@t64 0)) % 0.40/0.59 (step @p74 :rule reordering :premises (@p73) :args ((or @t63 @t77))) % 0.40/0.59 (step @p75 :rule cnf_and_pos :args (@t64 1)) % 0.40/0.59 (step @p76 :rule reordering :premises (@p75) :args ((or @t61 @t77))) % 0.40/0.59 (step @p77 :rule bool-double-not-elim :args (@t50)) % 0.40/0.59 (step @p78 :rule nary_cong :premises (@p49 @p77) :args ((or @t53 (not @t51)))) % 0.40/0.59 (step @p79 :rule cnf_or_neg :args (@t53 1)) % 0.40/0.59 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 0.40/0.59 (step @p81 :rule reordering :premises (@p80) :args ((or @t50 @t53))) % 0.40/0.59 (step @p82 :rule chain_m_resolution :premises (@p81 @p47) :args (@t50 @t54 @t55)) % 0.40/0.59 (step @p83 :rule instantiate :premises (@p37) :args ((@list @t41 @t42))) % 0.40/0.59 (step @p84 :rule cnf_or_pos :args (@t79)) % 0.40/0.59 (step @p85 :rule reordering :premises (@p84) :args ((or @t52 @t78 (not @t79)))) % 0.40/0.59 (step @p86 :rule chain_m_resolution :premises (@p85 @p54 @p83) :args (@t78 (@list false false) (@list @t48 @t79))) % 0.40/0.59 (step @p87 :rule aci_norm :args ((= (or (or @t81 @t80) @t28) (or @t81 @t80 @t27 @t26 @t25 @t23)))) % 0.40/0.59 (step @p88 :rule refl :args (@t28)) % 0.40/0.59 (step @p89 :rule bool-and-de-morgan :args (@t6 @t29 true)) % 0.40/0.59 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or (not @t30) @t28))) % 0.40/0.59 (step @p91 :rule trans :premises (@p90 @p87)) % 0.40/0.59 (step @p92 :rule bool-impl-elim :args (@t30 @t28)) % 0.40/0.59 (step @p93 :rule trans :premises (@p92 @p91)) % 0.40/0.59 (step @p94 :rule cong :premises (@p93) :args (@t31)) % 0.40/0.59 (step @p95 :rule eq_resolve :premises (@p9 @p94)) % 0.40/0.59 (step @p96 :rule instantiate :premises (@p95) :args ((@list @t49 @t43 @t41 @t42))) % 0.40/0.59 (step @p97 :rule cnf_or_pos :args (@t83)) % 0.40/0.59 (step @p98 :rule reordering :premises (@p97) :args ((or @t51 @t82 @t70 @t68 @t60 @t62 (not @t83)))) % 0.40/0.59 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p86 @p82 @p76 @p74) :args ((or @t70 @t68 @t77) (@list false false false true true) (@list @t83 @t78 @t50 @t60 @t62))) % 0.40/0.59 (step @p100 false :rule chain_m_resolution :premises (@p99 @p72 @p69 @p61) :args (false (@list true true false) (@list @t68 @t70 @t64))) % 0.40/0.59 ) % 0.40/0.59 % SZS output end Proof % 0.40/0.59 % cvc5 exiting %------------------------------------------------------------------------------