%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO086+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:16:19 AM UTC 2026 % Result : Theorem 0.36s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO086+1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n029.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 23:18:17 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.57 % SZS status Theorem % 0.36/0.57 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort $$unsorted 0) % 0.36/0.57 (declare-const tptp.open (-> $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.closed (-> $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.end_point (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.part_of (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.inner_point (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.incident_c (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (define @t1 () (@var "C" $$unsorted)) % 0.36/0.57 (define @t2 () (@var "P" $$unsorted)) % 0.36/0.57 (define @t3 () (tptp.incident_c @t2 @t1)) % 0.36/0.57 (define @t4 () (@var "C1" $$unsorted)) % 0.36/0.57 (define @t5 () (tptp.incident_c @t2 @t4)) % 0.36/0.57 (define @t6 () (@list @t2)) % 0.36/0.57 (define @t7 () (tptp.part_of @t4 @t1)) % 0.36/0.57 (define @t8 () (@list @t1 @t4)) % 0.36/0.57 (define @t9 () (@var "C2" $$unsorted)) % 0.36/0.57 (define @t10 () (@var "Q" $$unsorted)) % 0.36/0.57 (define @t11 () (tptp.incident_c @t10 @t4)) % 0.36/0.57 (define @t12 () (tptp.incident_c @t10 @t1)) % 0.36/0.57 (define @t13 () (@list @t10)) % 0.36/0.57 (define @t14 () (= @t1 (tptp.sum @t4 @t9))) % 0.36/0.57 (define @t15 () (tptp.part_of @t9 @t4)) % 0.36/0.57 (define @t16 () (tptp.part_of @t4 @t9)) % 0.36/0.57 (define @t17 () (tptp.part_of @t9 @t1)) % 0.36/0.57 (define @t18 () (@list @t4 @t9)) % 0.36/0.57 (define @t19 () (tptp.end_point @t2 @t1)) % 0.36/0.57 (define @t20 () (@list @t2 @t1)) % 0.36/0.57 (define @t21 () (tptp.inner_point @t2 @t1)) % 0.36/0.57 (define @t22 () (tptp.end_point @t10 @t4)) % 0.36/0.57 (define @t23 () (tptp.end_point @t10 @t1)) % 0.36/0.57 (define @t24 () (exists @t6 @t19)) % 0.36/0.57 (define @t25 () (tptp.closed @t1)) % 0.36/0.57 (define @t26 () (@list @t1)) % 0.36/0.57 (define @t27 () (tptp.open @t1)) % 0.36/0.57 (define @t28 () (tptp.open @t4)) % 0.36/0.57 (define @t29 () (not (= @t4 @t1))) % 0.36/0.57 (define @t30 () (and @t7 @t29)) % 0.36/0.57 (define @t31 () (=> @t30 @t28)) % 0.36/0.57 (define @t32 () (forall @t8 @t31)) % 0.36/0.57 (define @t33 () (@var "C3" $$unsorted)) % 0.36/0.57 (define @t34 () (tptp.meet @t2 @t4 @t9)) % 0.36/0.57 (define @t35 () (@list @t1 @t2)) % 0.36/0.57 (define @t36 () (@var "R" $$unsorted)) % 0.36/0.57 (define @t37 () (= @t2 @t10)) % 0.36/0.57 (define @t38 () (= @t1 @t4)) % 0.36/0.57 (define @t39 () (@var "Cpp" $$unsorted)) % 0.36/0.57 (define @t40 () (tptp.open @t39)) % 0.36/0.57 (define @t41 () (tptp.part_of @t39 @t1)) % 0.36/0.57 (define @t42 () (and @t27 @t41)) % 0.36/0.57 (define @t43 () (@list @t1 @t39)) % 0.36/0.57 (define @t44 () (forall @t43 (=> @t42 @t40))) % 0.36/0.57 (define @t45 () (not @t44)) % 0.36/0.57 (define @t46 () (not @t41)) % 0.36/0.57 (define @t47 () (not @t27)) % 0.36/0.57 (define @t48 () (or @t47 @t46 @t40)) % 0.36/0.57 (define @t49 () (forall @t43 @t48)) % 0.36/0.57 (define @t50 () (@quantifiers_skolemize @t49 0)) % 0.36/0.57 (define @t51 () (tptp.open @t50)) % 0.36/0.57 (define @t52 () (@quantifiers_skolemize @t49 1)) % 0.36/0.57 (define @t53 () (tptp.open @t52)) % 0.36/0.57 (define @t54 () (tptp.part_of @t52 @t50)) % 0.36/0.57 (define @t55 () (not @t54)) % 0.36/0.57 (define @t56 () (not @t51)) % 0.36/0.57 (define @t57 () (or @t56 @t55 @t53)) % 0.36/0.57 (define @t58 () (@list true)) % 0.36/0.57 (define @t59 () (@list @t57)) % 0.36/0.57 (define @t60 () (not @t7)) % 0.36/0.57 (define @t61 () (not @t38)) % 0.36/0.57 (define @t62 () (and @t7 @t61)) % 0.36/0.57 (define @t63 () (= @t50 @t52)) % 0.36/0.57 (define @t64 () (or @t55 @t63 @t53)) % 0.36/0.57 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 0.36/0.57 (assume @p2 (forall (@list @t1 @t4 @t9) (= @t14 (forall @t13 (= @t12 (or @t11 (tptp.incident_c @t10 @t9))))))) % 0.36/0.57 (assume @p3 (forall @t20 (= @t19 (and @t3 (forall @t18 (=> (and @t7 @t17 @t5 (tptp.incident_c @t2 @t9)) (or @t16 @t15))))))) % 0.36/0.57 (assume @p4 (forall @t20 (= @t21 (and @t3 (not @t19))))) % 0.36/0.57 (assume @p5 (forall (@list @t2 @t1 @t4) (= (tptp.meet @t2 @t1 @t4) (and @t3 @t5 (forall @t13 (=> (and @t12 @t11) (and @t23 @t22))))))) % 0.36/0.57 (assume @p6 (forall @t26 (= @t25 (not @t24)))) % 0.36/0.57 (assume @p7 (forall @t26 (= @t27 @t24))) % 0.36/0.57 (assume @p8 @t32) % 0.36/0.57 (assume @p9 (forall (@list @t1 @t4 @t9 @t33) (=> (and @t7 @t17 (tptp.part_of @t33 @t1) (exists @t6 (and (tptp.end_point @t2 @t4) (tptp.end_point @t2 @t9) (tptp.end_point @t2 @t33)))) (or (tptp.part_of @t9 @t33) (tptp.part_of @t33 @t9) @t16 @t15 (tptp.part_of @t4 @t33) (tptp.part_of @t33 @t4))))) % 0.36/0.57 (assume @p10 (forall @t26 (exists @t6 @t21))) % 0.36/0.57 (assume @p11 (forall @t35 (=> @t21 (exists @t18 (and @t34 @t14))))) % 0.36/0.57 (assume @p12 (forall (@list @t1 @t2 @t10 @t36) (=> (and @t19 @t23 (tptp.end_point @t36 @t1)) (or @t37 (= @t2 @t36) (= @t10 @t36))))) % 0.36/0.58 (assume @p13 (forall @t35 (=> @t19 (exists @t13 (and @t23 (not @t37)))))) % 0.36/0.58 (assume @p14 (forall (@list @t1 @t4 @t9 @t2) (=> (and @t25 @t34 @t14) (forall @t13 (=> @t22 (tptp.meet @t10 @t4 @t9)))))) % 0.36/0.58 (assume @p15 (forall @t18 (=> (exists @t6 @t34) (exists @t26 @t14)))) % 0.36/0.58 (assume @p16 (forall @t8 (=> (forall @t6 (= @t3 @t5)) @t38))) % 0.36/0.58 (assume @p17 @t45) % 0.36/0.58 (assume @p18 true) % 0.36/0.58 (step @p19 :rule evaluate :args ((= false true))) % 0.36/0.58 (step @p20 :rule aci_norm :args ((= (or (or @t47 @t46) @t40) @t48))) % 0.36/0.58 (step @p21 :rule refl :args (@t40)) % 0.36/0.58 (step @p22 :rule bool-and-de-morgan :args (@t27 @t41 true)) % 0.36/0.58 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or (not @t42) @t40))) % 0.36/0.58 (step @p24 :rule trans :premises (@p23 @p20)) % 0.36/0.58 (step @p25 :rule bool-impl-elim :args (@t42 @t40)) % 0.36/0.58 (step @p26 :rule trans :premises (@p25 @p24)) % 0.36/0.58 (step @p27 :rule cong :premises (@p26) :args (@t44)) % 0.36/0.58 (step @p28 :rule cong :premises (@p27) :args (@t45)) % 0.36/0.58 (step @p29 :rule eq_resolve :premises (@p17 @p28)) % 0.36/0.58 (step @p30 :rule skolemize :premises (@p29)) % 0.36/0.58 (step @p31 :rule bool-double-not-elim :args (@t51)) % 0.36/0.58 (step @p32 :rule refl :args (@t57)) % 0.36/0.58 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t57 (not @t56)))) % 0.36/0.58 (step @p34 :rule cnf_or_neg :args (@t57 0)) % 0.36/0.58 (step @p35 :rule eq_resolve :premises (@p34 @p33)) % 0.36/0.58 (step @p36 :rule reordering :premises (@p35) :args ((or @t51 @t57))) % 0.36/0.58 (step @p37 :rule chain_m_resolution :premises (@p36 @p30) :args (@t51 @t58 @t59)) % 0.36/0.58 (step @p38 :rule true_intro :premises (@p37)) % 0.36/0.58 (step @p39 :rule aci_norm :args ((= (or (or @t60 @t38) @t28) (or @t60 @t38 @t28)))) % 0.36/0.58 (step @p40 :rule refl :args (@t28)) % 0.36/0.58 (step @p41 :rule bool-double-not-elim :args (@t38)) % 0.36/0.58 (step @p42 :rule refl :args (@t60)) % 0.36/0.58 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t60 (not @t61)))) % 0.36/0.58 (step @p44 :rule bool-and-de-morgan :args (@t7 @t61 true)) % 0.36/0.58 (step @p45 :rule trans :premises (@p44 @p43)) % 0.36/0.58 (step @p46 :rule nary_cong :premises (@p45 @p40) :args ((or (not @t62) @t28))) % 0.36/0.58 (step @p47 :rule trans :premises (@p46 @p39)) % 0.36/0.58 (step @p48 :rule bool-impl-elim :args (@t62 @t28)) % 0.36/0.58 (step @p49 :rule trans :premises (@p48 @p47)) % 0.36/0.58 (step @p50 :rule cong :premises (@p49) :args ((forall @t8 (=> @t62 @t28)))) % 0.36/0.58 (step @p51 :rule refl :args (@t28)) % 0.36/0.58 (step @p52 :rule eq-symm :args (@t4 @t1)) % 0.36/0.58 (step @p53 :rule cong :premises (@p52) :args (@t29)) % 0.36/0.58 (step @p54 :rule refl :args (@t7)) % 0.36/0.58 (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t30)) % 0.36/0.58 (step @p56 :rule cong :premises (@p55 @p51) :args (@t31)) % 0.36/0.58 (step @p57 :rule cong :premises (@p56) :args (@t32)) % 0.36/0.58 (step @p58 :rule trans :premises (@p57 @p50)) % 0.36/0.58 (step @p59 :rule eq_resolve :premises (@p8 @p58)) % 0.36/0.58 (step @p60 :rule instantiate :premises (@p59) :args ((@list @t50 @t52))) % 0.36/0.58 (step @p61 :rule cnf_or_neg :args (@t57 2)) % 0.36/0.58 (step @p62 :rule chain_m_resolution :premises (@p61 @p30) :args ((not @t53) @t58 @t59)) % 0.36/0.58 (step @p63 :rule bool-double-not-elim :args (@t54)) % 0.36/0.58 (step @p64 :rule nary_cong :premises (@p32 @p63) :args ((or @t57 (not @t55)))) % 0.36/0.58 (step @p65 :rule cnf_or_neg :args (@t57 1)) % 0.36/0.58 (step @p66 :rule eq_resolve :premises (@p65 @p64)) % 0.36/0.58 (step @p67 :rule reordering :premises (@p66) :args ((or @t54 @t57))) % 0.36/0.58 (step @p68 :rule chain_m_resolution :premises (@p67 @p30) :args (@t54 @t58 @t59)) % 0.36/0.58 (step @p69 :rule cnf_or_pos :args (@t64)) % 0.36/0.58 (step @p70 :rule reordering :premises (@p69) :args ((or @t55 @t53 @t63 (not @t64)))) % 0.36/0.58 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p62 @p60) :args (@t63 (@list false true false) (@list @t54 @t53 @t64))) % 0.36/0.58 (step @p72 :rule symm :premises (@p71)) % 0.36/0.58 (step @p73 :rule cong :premises (@p72) :args (@t53)) % 0.36/0.58 (step @p74 :rule false_intro :premises (@p62)) % 0.36/0.58 (step @p75 :rule symm :premises (@p74)) % 0.36/0.58 (step @p76 :rule trans :premises (@p75 @p73 @p38)) % 0.36/0.58 (step @p77 false :rule eq_resolve :premises (@p76 @p19)) % 0.36/0.58 ) % 0.36/0.58 % SZS output end Proof % 0.36/0.58 % cvc5 exiting %------------------------------------------------------------------------------