%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO080+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:16:17 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 : GEO080+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n017.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 23:16:01 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.50 %----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 $$unsorted 0) % 0.39/0.56 (declare-const tptp.open (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.closed (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.end_point (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.part_of (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.inner_point (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.incident_c (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (define @t1 () (@var "C" $$unsorted)) % 0.39/0.56 (define @t2 () (@var "P" $$unsorted)) % 0.39/0.56 (define @t3 () (tptp.incident_c @t2 @t1)) % 0.39/0.56 (define @t4 () (@var "C1" $$unsorted)) % 0.39/0.56 (define @t5 () (tptp.incident_c @t2 @t4)) % 0.39/0.56 (define @t6 () (@list @t2)) % 0.39/0.56 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.39/0.56 (define @t8 () (tptp.part_of @t4 @t1)) % 0.39/0.56 (define @t9 () (= @t8 @t7)) % 0.39/0.56 (define @t10 () (@list @t1 @t4)) % 0.39/0.56 (define @t11 () (forall @t10 @t9)) % 0.39/0.56 (define @t12 () (@var "C2" $$unsorted)) % 0.39/0.56 (define @t13 () (@var "Q" $$unsorted)) % 0.39/0.56 (define @t14 () (tptp.incident_c @t13 @t4)) % 0.39/0.56 (define @t15 () (tptp.incident_c @t13 @t1)) % 0.39/0.56 (define @t16 () (@list @t13)) % 0.39/0.56 (define @t17 () (= @t1 (tptp.sum @t4 @t12))) % 0.39/0.56 (define @t18 () (tptp.part_of @t12 @t4)) % 0.39/0.56 (define @t19 () (tptp.part_of @t4 @t12)) % 0.39/0.56 (define @t20 () (tptp.part_of @t12 @t1)) % 0.39/0.56 (define @t21 () (@list @t4 @t12)) % 0.39/0.56 (define @t22 () (tptp.end_point @t2 @t1)) % 0.39/0.56 (define @t23 () (@list @t2 @t1)) % 0.39/0.56 (define @t24 () (tptp.inner_point @t2 @t1)) % 0.39/0.56 (define @t25 () (tptp.end_point @t13 @t4)) % 0.39/0.56 (define @t26 () (tptp.end_point @t13 @t1)) % 0.39/0.56 (define @t27 () (exists @t6 @t22)) % 0.39/0.56 (define @t28 () (tptp.closed @t1)) % 0.39/0.56 (define @t29 () (@list @t1)) % 0.39/0.56 (define @t30 () (@var "C3" $$unsorted)) % 0.39/0.56 (define @t31 () (tptp.meet @t2 @t4 @t12)) % 0.39/0.56 (define @t32 () (@list @t1 @t2)) % 0.39/0.56 (define @t33 () (@var "R" $$unsorted)) % 0.39/0.56 (define @t34 () (= @t2 @t13)) % 0.39/0.56 (define @t35 () (forall @t29 (tptp.part_of @t1 @t1))) % 0.39/0.56 (define @t36 () (@quantifiers_skolemize @t35 0)) % 0.39/0.56 (define @t37 () (tptp.part_of @t36 @t36)) % 0.39/0.56 (define @t38 () (tptp.incident_c @t2 @t36)) % 0.39/0.56 (define @t39 () (forall @t6 (or (not @t38) @t38))) % 0.39/0.56 (define @t40 () (= @t37 @t39)) % 0.39/0.56 (define @t41 () (forall @t10 (= @t8 (forall @t6 (or (not @t5) @t3))))) % 0.39/0.56 (assume @p1 @t11) % 0.39/0.56 (assume @p2 (forall (@list @t1 @t4 @t12) (= @t17 (forall @t16 (= @t15 (or @t14 (tptp.incident_c @t13 @t12))))))) % 0.39/0.56 (assume @p3 (forall @t23 (= @t22 (and @t3 (forall @t21 (=> (and @t8 @t20 @t5 (tptp.incident_c @t2 @t12)) (or @t19 @t18))))))) % 0.39/0.56 (assume @p4 (forall @t23 (= @t24 (and @t3 (not @t22))))) % 0.39/0.56 (assume @p5 (forall (@list @t2 @t1 @t4) (= (tptp.meet @t2 @t1 @t4) (and @t3 @t5 (forall @t16 (=> (and @t15 @t14) (and @t26 @t25))))))) % 0.39/0.56 (assume @p6 (forall @t29 (= @t28 (not @t27)))) % 0.39/0.56 (assume @p7 (forall @t29 (= (tptp.open @t1) @t27))) % 0.39/0.56 (assume @p8 (forall @t10 (=> (and @t8 (not (= @t4 @t1))) (tptp.open @t4)))) % 0.39/0.56 (assume @p9 (forall (@list @t1 @t4 @t12 @t30) (=> (and @t8 @t20 (tptp.part_of @t30 @t1) (exists @t6 (and (tptp.end_point @t2 @t4) (tptp.end_point @t2 @t12) (tptp.end_point @t2 @t30)))) (or (tptp.part_of @t12 @t30) (tptp.part_of @t30 @t12) @t19 @t18 (tptp.part_of @t4 @t30) (tptp.part_of @t30 @t4))))) % 0.39/0.56 (assume @p10 (forall @t29 (exists @t6 @t24))) % 0.39/0.56 (assume @p11 (forall @t32 (=> @t24 (exists @t21 (and @t31 @t17))))) % 0.39/0.56 (assume @p12 (forall (@list @t1 @t2 @t13 @t33) (=> (and @t22 @t26 (tptp.end_point @t33 @t1)) (or @t34 (= @t2 @t33) (= @t13 @t33))))) % 0.39/0.56 (assume @p13 (forall @t32 (=> @t22 (exists @t16 (and @t26 (not @t34)))))) % 0.39/0.56 (assume @p14 (forall (@list @t1 @t4 @t12 @t2) (=> (and @t28 @t31 @t17) (forall @t16 (=> @t25 (tptp.meet @t13 @t4 @t12)))))) % 0.39/0.56 (assume @p15 (forall @t21 (=> (exists @t6 @t31) (exists @t29 @t17)))) % 0.39/0.56 (assume @p16 (forall @t10 (=> (forall @t6 (= @t3 @t5)) (= @t1 @t4)))) % 0.39/0.56 (assume @p17 (not @t35)) % 0.39/0.56 (assume @p18 true) % 0.39/0.56 (step @p19 :rule bool-impl-elim :args (@t5 @t3)) % 0.39/0.56 (step @p20 :rule cong :premises (@p19) :args (@t7)) % 0.39/0.56 (step @p21 :rule refl :args (@t8)) % 0.39/0.56 (step @p22 :rule cong :premises (@p21 @p20) :args (@t9)) % 0.39/0.56 (step @p23 :rule cong :premises (@p22) :args (@t11)) % 0.39/0.56 (step @p24 :rule eq_resolve :premises (@p1 @p23)) % 0.39/0.56 (step @p25 :rule skolemize :premises (@p17)) % 0.39/0.56 (step @p26 :rule bool-eq-true :args (@t37)) % 0.39/0.56 (step @p27 :rule quant-unused-vars :args ((= (forall @t6 true) true))) % 0.39/0.56 (step @p28 :rule bool-or-taut2 :args (false @t38 false false)) % 0.39/0.56 (step @p29 :rule cong :premises (@p28) :args (@t39)) % 0.39/0.56 (step @p30 :rule trans :premises (@p29 @p27)) % 0.39/0.56 (step @p31 :rule refl :args (@t37)) % 0.39/0.56 (step @p32 :rule cong :premises (@p31 @p30) :args (@t40)) % 0.39/0.56 (step @p33 :rule trans :premises (@p32 @p26)) % 0.39/0.56 (step @p34 :rule refl :args (@t41)) % 0.39/0.56 (step @p35 :rule cong :premises (@p34 @p33) :args ((=> @t41 @t40))) % 0.39/0.56 (assume-push @p43 @t41) % 0.39/0.56 (step @p37 :rule instantiate :premises (@p24) :args ((@list @t36 @t36))) % 0.39/0.56 (step-pop @p44 :rule scope :premises (@p37)) % 0.39/0.56 (step @p38 :rule process_scope :premises (@p44) :args (@t40)) % 0.39/0.56 (step @p40 :rule eq_resolve :premises (@p38 @p35)) % 0.39/0.56 (step @p41 :rule implies_elim :premises (@p40)) % 0.39/0.56 (step @p42 false :rule chain_m_resolution :premises (@p41 @p25 @p24) :args (false (@list true false) (@list @t37 @t41))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------