%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO201+1 : 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 : n029.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 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO201+1 : 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 % 0.16/0.34 % Computer : n029.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 23:40:02 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.57 (define @t2 () (@list @t1)) % 0.38/0.57 (define @t3 () (@var "Z" $$unsorted)) % 0.38/0.57 (define @t4 () (@var "Y" $$unsorted)) % 0.38/0.57 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.38/0.57 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.38/0.57 (define @t7 () (@list @t1 @t4 @t3)) % 0.38/0.57 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.38/0.57 (define @t9 () (tptp.convergent_lines @t4 @t3)) % 0.38/0.57 (define @t10 () (tptp.convergent_lines @t1 @t3)) % 0.38/0.57 (define @t11 () (or @t10 @t9)) % 0.38/0.57 (define @t12 () (tptp.convergent_lines @t1 @t4)) % 0.38/0.57 (define @t13 () (forall @t7 (=> @t12 @t11))) % 0.38/0.57 (define @t14 () (tptp.line_connecting @t1 @t4)) % 0.38/0.57 (define @t15 () (@list @t1 @t4)) % 0.38/0.57 (define @t16 () (tptp.intersection_point @t1 @t4)) % 0.38/0.57 (define @t17 () (not (tptp.apart_point_and_line @t16 @t1))) % 0.38/0.57 (define @t18 () (forall @t15 (=> @t12 @t17))) % 0.38/0.57 (define @t19 () (not (tptp.apart_point_and_line @t16 @t4))) % 0.38/0.57 (define @t20 () (forall @t15 (=> @t12 @t19))) % 0.38/0.57 (define @t21 () (@var "V" $$unsorted)) % 0.38/0.57 (define @t22 () (tptp.apart_point_and_line @t4 @t21)) % 0.38/0.57 (define @t23 () (@var "U" $$unsorted)) % 0.38/0.57 (define @t24 () (tptp.apart_point_and_line @t4 @t23)) % 0.38/0.57 (define @t25 () (tptp.apart_point_and_line @t1 @t21)) % 0.38/0.57 (define @t26 () (tptp.apart_point_and_line @t1 @t23)) % 0.38/0.57 (define @t27 () (or @t26 @t25 @t24 @t22)) % 0.38/0.57 (define @t28 () (tptp.distinct_lines @t23 @t21)) % 0.38/0.57 (define @t29 () (and @t6 @t28)) % 0.38/0.57 (define @t30 () (@list @t1 @t4 @t23 @t21)) % 0.38/0.57 (define @t31 () (forall @t30 (=> @t29 @t27))) % 0.38/0.57 (define @t32 () (tptp.apart_point_and_line @t1 @t4)) % 0.38/0.57 (define @t33 () (or @t8 @t10)) % 0.38/0.57 (define @t34 () (forall @t7 (=> @t12 @t33))) % 0.38/0.57 (define @t35 () (not (tptp.distinct_points @t16 (tptp.intersection_point @t4 @t1)))) % 0.38/0.57 (define @t36 () (forall @t15 (=> @t12 @t35))) % 0.38/0.57 (define @t37 () (not @t36)) % 0.38/0.57 (define @t38 () (not @t28)) % 0.38/0.57 (define @t39 () (not @t6)) % 0.38/0.57 (define @t40 () (or @t39 @t38 @t26 @t25 @t24 @t22)) % 0.38/0.57 (define @t41 () (not @t12)) % 0.38/0.57 (define @t42 () (forall @t15 (or @t41 @t35))) % 0.38/0.57 (define @t43 () (@quantifiers_skolemize @t42 0)) % 0.38/0.57 (define @t44 () (@quantifiers_skolemize @t42 1)) % 0.38/0.57 (define @t45 () (@list @t43 @t44 @t43)) % 0.38/0.57 (define @t46 () (tptp.convergent_lines @t43 @t44)) % 0.38/0.57 (define @t47 () (tptp.intersection_point @t44 @t43)) % 0.38/0.57 (define @t48 () (tptp.intersection_point @t43 @t44)) % 0.38/0.57 (define @t49 () (tptp.distinct_points @t48 @t47)) % 0.38/0.57 (define @t50 () (not @t49)) % 0.38/0.57 (define @t51 () (not @t46)) % 0.38/0.57 (define @t52 () (or @t51 @t50)) % 0.38/0.57 (define @t53 () (@list true)) % 0.38/0.57 (define @t54 () (@list @t52)) % 0.38/0.57 (define @t55 () (tptp.convergent_lines @t43 @t43)) % 0.38/0.57 (define @t56 () (tptp.distinct_lines @t44 @t43)) % 0.38/0.57 (define @t57 () (or @t51 @t56 @t55)) % 0.38/0.57 (define @t58 () (@list false true false)) % 0.38/0.57 (define @t59 () (@list @t44 @t43)) % 0.38/0.57 (define @t60 () (tptp.convergent_lines @t44 @t43)) % 0.38/0.57 (define @t61 () (or @t51 @t55 @t60)) % 0.38/0.57 (define @t62 () (tptp.apart_point_and_line @t47 @t43)) % 0.38/0.57 (define @t63 () (not @t62)) % 0.38/0.57 (define @t64 () (not @t60)) % 0.38/0.57 (define @t65 () (or @t64 @t63)) % 0.38/0.57 (define @t66 () (@list false false)) % 0.38/0.57 (define @t67 () (@list @t43 @t44)) % 0.38/0.57 (define @t68 () (tptp.apart_point_and_line @t48 @t44)) % 0.38/0.57 (define @t69 () (not @t68)) % 0.38/0.57 (define @t70 () (or @t51 @t69)) % 0.38/0.57 (define @t71 () (tptp.apart_point_and_line @t47 @t44)) % 0.38/0.57 (define @t72 () (not @t71)) % 0.38/0.57 (define @t73 () (or @t64 @t72)) % 0.38/0.57 (define @t74 () (tptp.apart_point_and_line @t48 @t43)) % 0.38/0.57 (define @t75 () (not @t74)) % 0.38/0.57 (define @t76 () (or @t51 @t75)) % 0.38/0.57 (define @t77 () (not @t56)) % 0.38/0.57 (define @t78 () (or @t50 @t77 @t68 @t74 @t71 @t62)) % 0.38/0.57 (define @t79 () (not @t78)) % 0.38/0.57 (define @t80 () (forall @t30 @t40)) % 0.38/0.57 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.38/0.57 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.38/0.57 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.38/0.57 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.38/0.57 (assume @p5 (forall @t7 (=> (tptp.distinct_lines @t1 @t4) (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.38/0.57 (assume @p6 @t13) % 0.38/0.57 (assume @p7 (forall @t15 (=> @t6 (not (tptp.apart_point_and_line @t1 @t14))))) % 0.38/0.57 (assume @p8 (forall @t15 (=> @t6 (not (tptp.apart_point_and_line @t4 @t14))))) % 0.38/0.57 (assume @p9 @t18) % 0.38/0.57 (assume @p10 @t20) % 0.38/0.57 (assume @p11 @t31) % 0.38/0.57 (assume @p12 (forall @t7 (=> @t32 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.38/0.57 (assume @p13 (forall @t7 (=> @t32 (or @t8 (tptp.apart_point_and_line @t1 @t3))))) % 0.38/0.57 (assume @p14 @t34) % 0.38/0.57 (assume @p15 @t37) % 0.38/0.57 (assume @p16 true) % 0.38/0.57 (step @p17 :rule aci_norm :args ((= (or (or @t39 @t38) @t27) @t40))) % 0.38/0.57 (step @p18 :rule refl :args (@t27)) % 0.38/0.57 (step @p19 :rule bool-and-de-morgan :args (@t6 @t28 true)) % 0.38/0.57 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or (not @t29) @t27))) % 0.38/0.57 (step @p21 :rule trans :premises (@p20 @p17)) % 0.38/0.57 (step @p22 :rule bool-impl-elim :args (@t29 @t27)) % 0.38/0.57 (step @p23 :rule trans :premises (@p22 @p21)) % 0.38/0.57 (step @p24 :rule cong :premises (@p23) :args (@t31)) % 0.38/0.57 (step @p25 :rule eq_resolve :premises (@p11 @p24)) % 0.38/0.57 (step @p26 :rule aci_norm :args ((= (or @t41 @t33) (or @t41 @t8 @t10)))) % 0.38/0.57 (step @p27 :rule bool-impl-elim :args (@t12 @t33)) % 0.38/0.57 (step @p28 :rule trans :premises (@p27 @p26)) % 0.38/0.57 (step @p29 :rule cong :premises (@p28) :args (@t34)) % 0.38/0.57 (step @p30 :rule eq_resolve :premises (@p14 @p29)) % 0.38/0.57 (step @p31 :rule instantiate :premises (@p30) :args (@t45)) % 0.38/0.57 (step @p32 :rule instantiate :premises (@p3) :args ((@list @t43))) % 0.38/0.57 (step @p33 :rule bool-impl-elim :args (@t12 @t35)) % 0.38/0.57 (step @p34 :rule cong :premises (@p33) :args (@t36)) % 0.38/0.57 (step @p35 :rule cong :premises (@p34) :args (@t37)) % 0.38/0.57 (step @p36 :rule eq_resolve :premises (@p15 @p35)) % 0.38/0.57 (step @p37 :rule skolemize :premises (@p36)) % 0.38/0.57 (step @p38 :rule bool-double-not-elim :args (@t46)) % 0.38/0.57 (step @p39 :rule refl :args (@t52)) % 0.38/0.57 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or @t52 (not @t51)))) % 0.38/0.57 (step @p41 :rule cnf_or_neg :args (@t52 0)) % 0.38/0.57 (step @p42 :rule eq_resolve :premises (@p41 @p40)) % 0.38/0.57 (step @p43 :rule reordering :premises (@p42) :args ((or @t46 @t52))) % 0.38/0.57 (step @p44 :rule chain_m_resolution :premises (@p43 @p37) :args (@t46 @t53 @t54)) % 0.38/0.57 (step @p45 :rule cnf_or_pos :args (@t57)) % 0.38/0.57 (step @p46 :rule reordering :premises (@p45) :args ((or @t51 @t55 @t56 (not @t57)))) % 0.38/0.57 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p32 @p31) :args (@t56 @t58 (@list @t46 @t55 @t57))) % 0.38/0.57 (step @p48 :rule bool-impl-elim :args (@t12 @t19)) % 0.38/0.57 (step @p49 :rule cong :premises (@p48) :args (@t20)) % 0.38/0.57 (step @p50 :rule eq_resolve :premises (@p10 @p49)) % 0.38/0.57 (step @p51 :rule instantiate :premises (@p50) :args (@t59)) % 0.38/0.57 (step @p52 :rule aci_norm :args ((= (or @t41 @t11) (or @t41 @t10 @t9)))) % 0.38/0.57 (step @p53 :rule bool-impl-elim :args (@t12 @t11)) % 0.38/0.57 (step @p54 :rule trans :premises (@p53 @p52)) % 0.38/0.57 (step @p55 :rule cong :premises (@p54) :args (@t13)) % 0.38/0.57 (step @p56 :rule eq_resolve :premises (@p6 @p55)) % 0.38/0.57 (step @p57 :rule instantiate :premises (@p56) :args (@t45)) % 0.38/0.57 (step @p58 :rule cnf_or_pos :args (@t61)) % 0.38/0.57 (step @p59 :rule reordering :premises (@p58) :args ((or @t51 @t60 @t55 (not @t61)))) % 0.38/0.57 (step @p60 :rule chain_m_resolution :premises (@p59 @p44 @p32 @p57) :args (@t60 @t58 (@list @t46 @t55 @t61))) % 0.38/0.57 (step @p61 :rule cnf_or_pos :args (@t65)) % 0.38/0.57 (step @p62 :rule reordering :premises (@p61) :args ((or @t64 @t63 (not @t65)))) % 0.38/0.57 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p51) :args (@t63 @t66 (@list @t60 @t65))) % 0.38/0.57 (step @p64 :rule instantiate :premises (@p50) :args (@t67)) % 0.38/0.57 (step @p65 :rule cnf_or_pos :args (@t70)) % 0.38/0.57 (step @p66 :rule reordering :premises (@p65) :args ((or @t51 @t69 (not @t70)))) % 0.38/0.57 (step @p67 :rule chain_m_resolution :premises (@p66 @p44 @p64) :args (@t69 @t66 (@list @t46 @t70))) % 0.38/0.57 (step @p68 :rule bool-impl-elim :args (@t12 @t17)) % 0.38/0.57 (step @p69 :rule cong :premises (@p68) :args (@t18)) % 0.38/0.57 (step @p70 :rule eq_resolve :premises (@p9 @p69)) % 0.38/0.57 (step @p71 :rule instantiate :premises (@p70) :args (@t59)) % 0.38/0.57 (step @p72 :rule cnf_or_pos :args (@t73)) % 0.38/0.57 (step @p73 :rule reordering :premises (@p72) :args ((or @t64 @t72 (not @t73)))) % 0.38/0.57 (step @p74 :rule chain_m_resolution :premises (@p73 @p60 @p71) :args (@t72 @t66 (@list @t60 @t73))) % 0.38/0.57 (step @p75 :rule instantiate :premises (@p70) :args (@t67)) % 0.38/0.57 (step @p76 :rule cnf_or_pos :args (@t76)) % 0.38/0.57 (step @p77 :rule reordering :premises (@p76) :args ((or @t51 @t75 (not @t76)))) % 0.38/0.57 (step @p78 :rule chain_m_resolution :premises (@p77 @p44 @p75) :args (@t75 @t66 (@list @t46 @t76))) % 0.38/0.57 (step @p79 :rule bool-double-not-elim :args (@t49)) % 0.38/0.57 (step @p80 :rule nary_cong :premises (@p39 @p79) :args ((or @t52 (not @t50)))) % 0.38/0.57 (step @p81 :rule cnf_or_neg :args (@t52 1)) % 0.38/0.57 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 0.38/0.57 (step @p83 :rule reordering :premises (@p82) :args ((or @t49 @t52))) % 0.38/0.57 (step @p84 :rule chain_m_resolution :premises (@p83 @p37) :args (@t49 @t53 @t54)) % 0.38/0.57 (step @p85 :rule cnf_or_pos :args (@t78)) % 0.38/0.57 (step @p86 :rule reordering :premises (@p85) :args ((or @t50 @t74 @t71 @t68 @t62 @t77 @t79))) % 0.38/0.57 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p78 @p74 @p67 @p63 @p47) :args (@t79 (@list false true true true true false) (@list @t49 @t74 @t71 @t68 @t62 @t56))) % 0.38/0.57 (assume-push @p94 @t80) % 0.38/0.57 (step @p89 :rule instantiate :premises (@p25) :args ((@list @t48 @t47 @t44 @t43))) % 0.38/0.57 (step-pop @p95 :rule scope :premises (@p89)) % 0.38/0.57 (step @p90 :rule process_scope :premises (@p95) :args (@t78)) % 0.38/0.57 (step @p92 :rule implies_elim :premises (@p90)) % 0.38/0.57 (step @p93 false :rule chain_m_resolution :premises (@p92 @p87 @p25) :args (false (@list true false) (@list @t78 @t80))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------