%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS169+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:29:03 AM UTC 2026 % Result : Theorem 0.29s 0.54s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS169+1 : TPTP v9.2.1. Released v3.1.0. % 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 : n011.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 : Tue Jun 2 05:28:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.29/0.54 % SZS status Theorem % 0.29/0.54 % SZS output start Proof % 0.29/0.54 ( % 0.29/0.54 (declare-sort $$unsorted 0) % 0.29/0.54 (declare-const tptp.rhasLeader (-> $$unsorted $$unsorted Bool)) % 0.29/0.54 (declare-const tptp.iX $$unsorted) % 0.29/0.54 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.29/0.54 (declare-const tptp.rhasHead (-> $$unsorted $$unsorted Bool)) % 0.29/0.54 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.29/0.54 (declare-const tptp.iY $$unsorted) % 0.29/0.54 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.29/0.54 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.29/0.54 (define @t1 () (@var "X" $$unsorted)) % 0.29/0.54 (define @t2 () (not (tptp.cowlNothing @t1))) % 0.29/0.54 (define @t3 () (tptp.cowlThing @t1)) % 0.29/0.54 (define @t4 () (@list @t1)) % 0.29/0.54 (define @t5 () (forall @t4 (and @t3 @t2))) % 0.29/0.54 (define @t6 () (forall @t4 (= (tptp.xsd_string @t1) (not (tptp.xsd_integer @t1))))) % 0.29/0.54 (define @t7 () (tptp.cowlThing tptp.iX)) % 0.29/0.54 (define @t8 () (tptp.rhasLeader tptp.iX tptp.iY)) % 0.29/0.54 (define @t9 () (tptp.cowlThing tptp.iY)) % 0.29/0.54 (define @t10 () (@var "Y" $$unsorted)) % 0.29/0.54 (define @t11 () (forall (@list @t1 @t10) (= (tptp.rhasLeader @t1 @t10) (tptp.rhasHead @t1 @t10)))) % 0.29/0.54 (define @t12 () (tptp.rhasHead tptp.iX tptp.iY)) % 0.29/0.54 (define @t13 () (and @t5 @t6 @t7 @t12 @t9)) % 0.29/0.54 (define @t14 () (not @t13)) % 0.29/0.54 (define @t15 () (forall @t4 @t2)) % 0.29/0.54 (define @t16 () (@list @t1)) % 0.29/0.54 (define @t17 () (@var "BOUND_VARIABLE_7446" $$unsorted)) % 0.29/0.54 (define @t18 () (forall @t4 @t3)) % 0.29/0.54 (define @t19 () (@var "BOUND_VARIABLE_7441" $$unsorted)) % 0.29/0.54 (define @t20 () (and @t18 @t15)) % 0.29/0.54 (define @t21 () (forall (@list @t17) (not (tptp.cowlNothing @t17)))) % 0.29/0.54 (define @t22 () (forall (@list @t19) (tptp.cowlThing @t19))) % 0.29/0.54 (define @t23 () (not @t12)) % 0.29/0.54 (define @t24 () (= @t8 @t12)) % 0.29/0.54 (define @t25 () (not @t24)) % 0.29/0.54 (define @t26 () (@list true false)) % 0.29/0.54 (assume @p1 @t5) % 0.29/0.54 (assume @p2 @t6) % 0.29/0.54 (assume @p3 @t7) % 0.29/0.54 (assume @p4 @t8) % 0.29/0.54 (assume @p5 @t9) % 0.29/0.54 (assume @p6 @t11) % 0.29/0.54 (assume @p7 @t14) % 0.29/0.54 (assume @p8 true) % 0.29/0.54 (step @p9 :rule alpha_equiv :args (@t15 @t16 (@list @t17))) % 0.29/0.54 (step @p10 :rule alpha_equiv :args (@t18 @t16 (@list @t19))) % 0.29/0.54 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t20)) % 0.29/0.54 (step @p12 :rule quant-miniscope-and :args ((= @t5 @t20))) % 0.29/0.54 (step @p13 :rule trans :premises (@p12 @p11)) % 0.29/0.54 (step @p14 :rule eq_resolve :premises (@p1 @p13)) % 0.29/0.54 (step @p15 :rule and_elim :premises (@p14) :args (1)) % 0.29/0.54 (step @p16 :rule and_elim :premises (@p14) :args (0)) % 0.29/0.54 (step @p17 :rule aci_norm :args ((= (and (and @t22 @t21) @t6 @t7 @t12 @t9) (and @t6 @t7 @t12 @t9 @t22 @t21)))) % 0.29/0.54 (step @p18 :rule refl :args (@t9)) % 0.29/0.54 (step @p19 :rule refl :args (@t12)) % 0.29/0.54 (step @p20 :rule refl :args (@t7)) % 0.29/0.54 (step @p21 :rule refl :args (@t6)) % 0.29/0.54 (step @p22 :rule nary_cong :premises (@p13 @p21 @p20 @p19 @p18) :args (@t13)) % 0.29/0.54 (step @p23 :rule trans :premises (@p22 @p17)) % 0.29/0.54 (step @p24 :rule cong :premises (@p23) :args (@t14)) % 0.29/0.54 (step @p25 :rule eq_resolve :premises (@p7 @p24)) % 0.29/0.54 (step @p26 :rule not_and :premises (@p25)) % 0.29/0.54 (step @p27 :rule reordering :premises (@p26) :args ((or (not @t22) (not @t21) (not @t6) (not @t7) (not @t9) @t23))) % 0.29/0.54 (step @p28 :rule chain_m_resolution :premises (@p27 @p16 @p15 @p2 @p3 @p5) :args (@t23 (@list false false false false false) (@list @t22 @t21 @t6 @t7 @t9))) % 0.29/0.54 (step @p29 :rule cnf_equiv_pos1 :args (@t24)) % 0.29/0.54 (step @p30 :rule reordering :premises (@p29) :args ((or @t12 (not @t8) @t25))) % 0.29/0.54 (step @p31 :rule chain_m_resolution :premises (@p30 @p28 @p4) :args (@t25 @t26 (@list @t12 @t8))) % 0.29/0.54 (assume-push @p38 @t11) % 0.29/0.54 (step @p33 :rule instantiate :premises (@p6) :args ((@list tptp.iX tptp.iY))) % 0.29/0.54 (step-pop @p39 :rule scope :premises (@p33)) % 0.29/0.54 (step @p34 :rule process_scope :premises (@p39) :args (@t24)) % 0.29/0.54 (step @p36 :rule implies_elim :premises (@p34)) % 0.29/0.54 (step @p37 false :rule chain_m_resolution :premises (@p36 @p31 @p6) :args (false @t26 (@list @t24 @t11))) % 0.29/0.54 ) % 0.29/0.54 % SZS output end Proof % 0.29/0.54 % cvc5 exiting %------------------------------------------------------------------------------