%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO172+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:16:31 AM UTC 2026 % Result : Theorem 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO172+2 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n017.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 23:36:46 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.56 % SZS status Theorem % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (declare-sort $$unsorted 0) % 0.39/0.56 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.56 (define @t2 () (@list @t1)) % 0.39/0.56 (define @t3 () (@var "Z" $$unsorted)) % 0.39/0.56 (define @t4 () (@var "Y" $$unsorted)) % 0.39/0.56 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.39/0.56 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.39/0.56 (define @t7 () (@list @t1 @t4 @t3)) % 0.39/0.56 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.39/0.56 (define @t9 () (tptp.distinct_lines @t1 @t4)) % 0.39/0.56 (define @t10 () (tptp.convergent_lines @t1 @t4)) % 0.39/0.56 (define @t11 () (tptp.distinct_points @t3 (tptp.intersection_point @t1 @t4))) % 0.39/0.56 (define @t12 () (tptp.apart_point_and_line @t3 @t4)) % 0.39/0.56 (define @t13 () (tptp.apart_point_and_line @t3 @t1)) % 0.39/0.56 (define @t14 () (or @t13 @t12)) % 0.39/0.56 (define @t15 () (=> @t14 @t11)) % 0.39/0.56 (define @t16 () (forall @t7 (=> @t10 @t15))) % 0.39/0.56 (define @t17 () (@var "V" $$unsorted)) % 0.39/0.56 (define @t18 () (tptp.apart_point_and_line @t4 @t17)) % 0.39/0.56 (define @t19 () (@var "U" $$unsorted)) % 0.39/0.56 (define @t20 () (tptp.apart_point_and_line @t4 @t19)) % 0.39/0.56 (define @t21 () (tptp.apart_point_and_line @t1 @t17)) % 0.39/0.56 (define @t22 () (tptp.apart_point_and_line @t1 @t19)) % 0.39/0.56 (define @t23 () (or @t22 @t21 @t20 @t18)) % 0.39/0.56 (define @t24 () (tptp.distinct_lines @t19 @t17)) % 0.39/0.56 (define @t25 () (and @t6 @t24)) % 0.39/0.56 (define @t26 () (forall (@list @t1 @t4 @t19 @t17) (=> @t25 @t23))) % 0.39/0.56 (define @t27 () (tptp.apart_point_and_line @t1 @t4)) % 0.39/0.56 (define @t28 () (forall (@list @t1 @t4) (=> @t10 @t9))) % 0.39/0.56 (define @t29 () (not @t11)) % 0.39/0.56 (define @t30 () (not @t12)) % 0.39/0.56 (define @t31 () (not @t13)) % 0.39/0.56 (define @t32 () (and @t10 @t31 @t30)) % 0.39/0.56 (define @t33 () (forall @t7 (=> @t32 @t29))) % 0.39/0.56 (define @t34 () (not @t33)) % 0.39/0.56 (define @t35 () (not @t10)) % 0.39/0.56 (define @t36 () (or @t35 @t13 @t12 @t29)) % 0.39/0.56 (define @t37 () (not @t30)) % 0.39/0.56 (define @t38 () (not @t31)) % 0.39/0.56 (define @t39 () (or @t35 @t38 @t37)) % 0.39/0.56 (define @t40 () (and @t31 @t30)) % 0.39/0.56 (define @t41 () (forall @t7 @t36)) % 0.39/0.56 (define @t42 () (@quantifiers_skolemize @t41 1)) % 0.39/0.56 (define @t43 () (@quantifiers_skolemize @t41 0)) % 0.39/0.56 (define @t44 () (tptp.intersection_point @t43 @t42)) % 0.39/0.56 (define @t45 () (@quantifiers_skolemize @t41 2)) % 0.39/0.56 (define @t46 () (tptp.distinct_points @t45 @t44)) % 0.39/0.56 (define @t47 () (not @t46)) % 0.39/0.56 (define @t48 () (tptp.apart_point_and_line @t45 @t42)) % 0.39/0.56 (define @t49 () (tptp.apart_point_and_line @t45 @t43)) % 0.39/0.56 (define @t50 () (tptp.convergent_lines @t43 @t42)) % 0.39/0.56 (define @t51 () (not @t50)) % 0.39/0.56 (define @t52 () (or @t51 @t49 @t48 @t47)) % 0.39/0.56 (define @t53 () (@list true)) % 0.39/0.56 (define @t54 () (@list @t52)) % 0.39/0.56 (define @t55 () (tptp.distinct_lines @t43 @t42)) % 0.39/0.56 (define @t56 () (or @t51 @t55)) % 0.39/0.56 (define @t57 () (not @t24)) % 0.39/0.56 (define @t58 () (not @t6)) % 0.39/0.56 (define @t59 () (tptp.distinct_points @t44 @t44)) % 0.39/0.56 (define @t60 () (tptp.apart_point_and_line @t44 @t42)) % 0.39/0.56 (define @t61 () (not @t60)) % 0.39/0.56 (define @t62 () (tptp.apart_point_and_line @t44 @t43)) % 0.39/0.56 (define @t63 () (not @t62)) % 0.39/0.56 (define @t64 () (and @t63 @t61)) % 0.39/0.56 (define @t65 () (or @t51 @t64 @t59)) % 0.39/0.56 (define @t66 () (not @t64)) % 0.39/0.56 (define @t67 () (@list false)) % 0.39/0.56 (define @t68 () (@list @t64)) % 0.39/0.56 (define @t69 () (not @t55)) % 0.39/0.56 (define @t70 () (or @t47 @t69 @t49 @t48 @t62 @t60)) % 0.39/0.56 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.39/0.56 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.39/0.56 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.39/0.56 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.39/0.56 (assume @p5 (forall @t7 (=> @t9 (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.39/0.56 (assume @p6 (forall @t7 (=> @t10 (or (tptp.convergent_lines @t1 @t3) (tptp.convergent_lines @t4 @t3))))) % 0.39/0.56 (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)))))) % 0.39/0.56 (assume @p8 @t16) % 0.39/0.56 (assume @p9 @t26) % 0.39/0.56 (assume @p10 (forall @t7 (=> @t27 (or @t5 @t12)))) % 0.39/0.56 (assume @p11 (forall @t7 (=> @t27 (or @t8 (tptp.apart_point_and_line @t1 @t3))))) % 0.39/0.56 (assume @p12 @t28) % 0.39/0.56 (assume @p13 @t34) % 0.39/0.56 (assume @p14 true) % 0.39/0.56 (step @p15 :rule aci_norm :args ((= (or (or @t35 @t13 @t12) @t29) @t36))) % 0.39/0.56 (step @p16 :rule refl :args (@t29)) % 0.39/0.56 (step @p17 :rule bool-double-not-elim :args (@t12)) % 0.39/0.56 (step @p18 :rule bool-double-not-elim :args (@t13)) % 0.39/0.56 (step @p19 :rule refl :args (@t35)) % 0.39/0.56 (step @p20 :rule nary_cong :premises (@p19 @p18 @p17) :args (@t39)) % 0.39/0.56 (step @p21 :rule aci_norm :args ((= (or @t35 (or @t38 @t37)) @t39))) % 0.39/0.56 (step @p22 :rule trans :premises (@p21 @p20)) % 0.39/0.56 (step @p23 :rule bool-and-de-morgan :args (@t31 @t30 true)) % 0.39/0.56 (step @p24 :rule nary_cong :premises (@p19 @p23) :args ((or @t35 (not @t40)))) % 0.39/0.56 (step @p25 :rule bool-and-de-morgan :args (@t10 @t31 (and @t30))) % 0.39/0.56 (step @p26 :rule trans :premises (@p25 @p24)) % 0.39/0.56 (step @p27 :rule trans :premises (@p26 @p22)) % 0.39/0.56 (step @p28 :rule nary_cong :premises (@p27 @p16) :args ((or (not @t32) @t29))) % 0.39/0.56 (step @p29 :rule trans :premises (@p28 @p15)) % 0.39/0.56 (step @p30 :rule bool-impl-elim :args (@t32 @t29)) % 0.39/0.56 (step @p31 :rule trans :premises (@p30 @p29)) % 0.39/0.56 (step @p32 :rule cong :premises (@p31) :args (@t33)) % 0.39/0.56 (step @p33 :rule cong :premises (@p32) :args (@t34)) % 0.39/0.56 (step @p34 :rule eq_resolve :premises (@p13 @p33)) % 0.39/0.56 (step @p35 :rule skolemize :premises (@p34)) % 0.39/0.56 (step @p36 :rule cnf_or_neg :args (@t52 1)) % 0.39/0.56 (step @p37 :rule chain_m_resolution :premises (@p36 @p35) :args ((not @t49) @t53 @t54)) % 0.39/0.56 (step @p38 :rule cnf_or_neg :args (@t52 2)) % 0.39/0.56 (step @p39 :rule chain_m_resolution :premises (@p38 @p35) :args ((not @t48) @t53 @t54)) % 0.39/0.56 (step @p40 :rule bool-double-not-elim :args (@t46)) % 0.39/0.56 (step @p41 :rule refl :args (@t52)) % 0.39/0.56 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t52 (not @t47)))) % 0.39/0.56 (step @p43 :rule cnf_or_neg :args (@t52 3)) % 0.39/0.56 (step @p44 :rule eq_resolve :premises (@p43 @p42)) % 0.39/0.56 (step @p45 :rule reordering :premises (@p44) :args ((or @t46 @t52))) % 0.39/0.56 (step @p46 :rule chain_m_resolution :premises (@p45 @p35) :args (@t46 @t53 @t54)) % 0.39/0.56 (step @p47 :rule bool-impl-elim :args (@t10 @t9)) % 0.39/0.56 (step @p48 :rule cong :premises (@p47) :args (@t28)) % 0.39/0.56 (step @p49 :rule eq_resolve :premises (@p12 @p48)) % 0.39/0.56 (step @p50 :rule instantiate :premises (@p49) :args ((@list @t43 @t42))) % 0.39/0.56 (step @p51 :rule bool-double-not-elim :args (@t50)) % 0.39/0.56 (step @p52 :rule nary_cong :premises (@p41 @p51) :args ((or @t52 (not @t51)))) % 0.39/0.56 (step @p53 :rule cnf_or_neg :args (@t52 0)) % 0.39/0.56 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 0.39/0.56 (step @p55 :rule reordering :premises (@p54) :args ((or @t50 @t52))) % 0.39/0.56 (step @p56 :rule chain_m_resolution :premises (@p55 @p35) :args (@t50 @t53 @t54)) % 0.39/0.56 (step @p57 :rule cnf_or_pos :args (@t56)) % 0.39/0.56 (step @p58 :rule reordering :premises (@p57) :args ((or @t51 @t55 (not @t56)))) % 0.39/0.56 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p50) :args (@t55 (@list false false) (@list @t50 @t56))) % 0.39/0.56 (step @p60 :rule aci_norm :args ((= (or (or @t58 @t57) @t23) (or @t58 @t57 @t22 @t21 @t20 @t18)))) % 0.39/0.56 (step @p61 :rule refl :args (@t23)) % 0.39/0.56 (step @p62 :rule bool-and-de-morgan :args (@t6 @t24 true)) % 0.39/0.56 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or (not @t25) @t23))) % 0.39/0.56 (step @p64 :rule trans :premises (@p63 @p60)) % 0.39/0.56 (step @p65 :rule bool-impl-elim :args (@t25 @t23)) % 0.39/0.56 (step @p66 :rule trans :premises (@p65 @p64)) % 0.39/0.56 (step @p67 :rule cong :premises (@p66) :args (@t26)) % 0.39/0.56 (step @p68 :rule eq_resolve :premises (@p9 @p67)) % 0.39/0.56 (step @p69 :rule instantiate :premises (@p68) :args ((@list @t45 @t44 @t43 @t42))) % 0.39/0.56 (step @p70 :rule aci_norm :args ((= (or @t35 (or @t40 @t11)) (or @t35 @t40 @t11)))) % 0.39/0.56 (step @p71 :rule refl :args (@t11)) % 0.39/0.56 (step @p72 :rule bool-or-de-morgan :args (@t13 @t12 false)) % 0.39/0.56 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or (not @t14) @t11))) % 0.39/0.56 (step @p74 :rule bool-impl-elim :args (@t14 @t11)) % 0.39/0.56 (step @p75 :rule trans :premises (@p74 @p73)) % 0.39/0.56 (step @p76 :rule nary_cong :premises (@p19 @p75) :args ((or @t35 @t15))) % 0.39/0.56 (step @p77 :rule trans :premises (@p76 @p70)) % 0.39/0.56 (step @p78 :rule bool-impl-elim :args (@t10 @t15)) % 0.39/0.56 (step @p79 :rule trans :premises (@p78 @p77)) % 0.39/0.56 (step @p80 :rule cong :premises (@p79) :args (@t16)) % 0.39/0.56 (step @p81 :rule eq_resolve :premises (@p8 @p80)) % 0.39/0.56 (step @p82 :rule instantiate :premises (@p81) :args ((@list @t43 @t42 @t44))) % 0.39/0.56 (step @p83 :rule instantiate :premises (@p1) :args ((@list @t44))) % 0.39/0.56 (step @p84 :rule cnf_or_pos :args (@t65)) % 0.39/0.56 (step @p85 :rule reordering :premises (@p84) :args ((or @t51 @t64 @t59 (not @t65)))) % 0.39/0.56 (step @p86 :rule chain_m_resolution :premises (@p85 @p56 @p83 @p82) :args (@t64 (@list false true false) (@list @t50 @t59 @t65))) % 0.39/0.56 (step @p87 :rule cnf_and_pos :args (@t64 0)) % 0.39/0.56 (step @p88 :rule reordering :premises (@p87) :args ((or @t63 @t66))) % 0.39/0.56 (step @p89 :rule chain_m_resolution :premises (@p88 @p86) :args (@t63 @t67 @t68)) % 0.39/0.56 (step @p90 :rule cnf_and_pos :args (@t64 1)) % 0.39/0.56 (step @p91 :rule reordering :premises (@p90) :args ((or @t61 @t66))) % 0.39/0.56 (step @p92 :rule chain_m_resolution :premises (@p91 @p86) :args (@t61 @t67 @t68)) % 0.39/0.56 (step @p93 :rule cnf_or_pos :args (@t70)) % 0.39/0.56 (step @p94 :rule reordering :premises (@p93) :args ((or @t49 @t48 @t47 @t69 @t62 @t60 (not @t70)))) % 0.39/0.56 (step @p95 false :rule chain_m_resolution :premises (@p94 @p92 @p89 @p69 @p59 @p46 @p39 @p37) :args (false (@list true true false false false true true) (@list @t60 @t62 @t70 @t55 @t46 @t48 @t49))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------