%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS123+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 : n004.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 08:28:58 AM UTC 2026 % Result : Unsatisfiable 0.30s 0.54s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS123+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 : n004.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 05:27:52 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.54 % SZS status Unsatisfiable % 0.30/0.54 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort $$unsorted 0) % 0.30/0.55 (declare-const tptp.i2003_11_14_17_22_02803 $$unsorted) % 0.30/0.55 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.cd (-> $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.cf (-> $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.ce3 (-> $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.cd1 (-> $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.cc (-> $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.cd1xcomp (-> $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.cc1 (-> $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.ra_Px1 (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.cdxcomp (-> $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.ra_Px2 (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (define @t1 () (@var "X" $$unsorted)) % 0.30/0.55 (define @t2 () (@list @t1)) % 0.30/0.55 (define @t3 () (tptp.cd @t1)) % 0.30/0.55 (define @t4 () (tptp.cc @t1)) % 0.30/0.55 (define @t5 () (tptp.cdxcomp @t1)) % 0.30/0.55 (define @t6 () (forall @t2 (=> @t4 @t5))) % 0.30/0.55 (define @t7 () (tptp.cd1xcomp @t1)) % 0.30/0.55 (define @t8 () (tptp.cc1 @t1)) % 0.30/0.55 (define @t9 () (tptp.cd1 @t1)) % 0.30/0.55 (define @t10 () (@var "Y" $$unsorted)) % 0.30/0.55 (define @t11 () (tptp.ra_Px1 @t1 @t10)) % 0.30/0.55 (define @t12 () (@list @t10)) % 0.30/0.55 (define @t13 () (exists @t12 @t11)) % 0.30/0.55 (define @t14 () (not @t13)) % 0.30/0.55 (define @t15 () (= @t3 @t14)) % 0.30/0.55 (define @t16 () (forall @t2 @t15)) % 0.30/0.55 (define @t17 () (@var "Y0" $$unsorted)) % 0.30/0.55 (define @t18 () (tptp.ra_Px1 @t1 @t17)) % 0.30/0.55 (define @t19 () (@list @t17)) % 0.30/0.55 (define @t20 () (exists @t19 @t18)) % 0.30/0.55 (define @t21 () (= @t5 @t20)) % 0.30/0.55 (define @t22 () (forall @t2 @t21)) % 0.30/0.55 (define @t23 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_22_02803)) % 0.30/0.55 (define @t24 () (@list tptp.i2003_11_14_17_22_02803)) % 0.30/0.55 (define @t25 () (tptp.cd tptp.i2003_11_14_17_22_02803)) % 0.30/0.55 (define @t26 () (tptp.cc tptp.i2003_11_14_17_22_02803)) % 0.30/0.55 (define @t27 () (and @t26 @t25)) % 0.30/0.55 (define @t28 () (= @t23 @t27)) % 0.30/0.55 (define @t29 () (@list false false)) % 0.30/0.55 (define @t30 () (not @t27)) % 0.30/0.55 (define @t31 () (@list false)) % 0.30/0.55 (define @t32 () (@list @t27)) % 0.30/0.55 (define @t33 () (tptp.cdxcomp tptp.i2003_11_14_17_22_02803)) % 0.30/0.55 (define @t34 () (not @t26)) % 0.30/0.55 (define @t35 () (or @t34 @t33)) % 0.30/0.55 (define @t36 () (forall @t12 (not @t11))) % 0.30/0.55 (define @t37 () (forall @t12 (not (tptp.ra_Px1 tptp.i2003_11_14_17_22_02803 @t10)))) % 0.30/0.55 (define @t38 () (= @t25 @t37)) % 0.30/0.55 (define @t39 () (forall @t19 (not (tptp.ra_Px1 tptp.i2003_11_14_17_22_02803 @t17)))) % 0.30/0.55 (define @t40 () (not @t39)) % 0.30/0.55 (define @t41 () (= @t33 @t40)) % 0.30/0.55 (assume @p1 (forall @t2 (and (tptp.cowlThing @t1) (not (tptp.cowlNothing @t1))))) % 0.30/0.55 (assume @p2 (forall @t2 (= (tptp.xsd_string @t1) (not (tptp.xsd_integer @t1))))) % 0.30/0.55 (assume @p3 (forall @t2 (= (tptp.cUnsatisfiable @t1) (and @t4 @t3)))) % 0.30/0.55 (assume @p4 @t6) % 0.30/0.55 (assume @p5 (forall @t2 (=> @t8 @t7))) % 0.30/0.55 (assume @p6 (forall @t2 (=> @t8 @t9))) % 0.30/0.55 (assume @p7 @t16) % 0.30/0.55 (assume @p8 @t22) % 0.30/0.55 (assume @p9 (forall @t2 (= @t9 (exists @t19 (tptp.ra_Px2 @t1 @t17))))) % 0.30/0.55 (assume @p10 (forall @t2 (= @t7 (not (exists @t12 (tptp.ra_Px2 @t1 @t10)))))) % 0.30/0.55 (assume @p11 (forall @t2 (=> (tptp.ce3 @t1) @t4))) % 0.30/0.55 (assume @p12 (forall @t2 (=> (tptp.cf @t1) @t3))) % 0.30/0.55 (assume @p13 @t23) % 0.30/0.55 (step @p14 :rule bool-impl-elim :args (@t4 @t5)) % 0.30/0.55 (step @p15 :rule cong :premises (@p14) :args (@t6)) % 0.30/0.55 (step @p16 :rule eq_resolve :premises (@p4 @p15)) % 0.30/0.55 (step @p17 :rule instantiate :premises (@p16) :args (@t24)) % 0.30/0.55 (step @p18 :rule instantiate :premises (@p3) :args (@t24)) % 0.30/0.55 (step @p19 :rule cnf_equiv_pos1 :args (@t28)) % 0.30/0.55 (step @p20 :rule reordering :premises (@p19) :args ((or (not @t23) @t27 (not @t28)))) % 0.30/0.55 (step @p21 :rule chain_m_resolution :premises (@p20 @p13 @p18) :args (@t27 @t29 (@list @t23 @t28))) % 0.30/0.55 (step @p22 :rule cnf_and_pos :args (@t27 0)) % 0.30/0.55 (step @p23 :rule reordering :premises (@p22) :args ((or @t26 @t30))) % 0.30/0.55 (step @p24 :rule chain_m_resolution :premises (@p23 @p21) :args (@t26 @t31 @t32)) % 0.30/0.55 (step @p25 :rule cnf_or_pos :args (@t35)) % 0.30/0.55 (step @p26 :rule reordering :premises (@p25) :args ((or @t34 @t33 (not @t35)))) % 0.30/0.55 (step @p27 :rule chain_m_resolution :premises (@p26 @p24 @p17) :args (@t33 @t29 (@list @t26 @t35))) % 0.30/0.55 (step @p28 :rule bool-double-not-elim :args (@t36)) % 0.30/0.55 (step @p29 :rule exists-elim :args ((= @t13 (not @t36)))) % 0.30/0.55 (step @p30 :rule cong :premises (@p29) :args (@t14)) % 0.30/0.55 (step @p31 :rule trans :premises (@p30 @p28)) % 0.30/0.55 (step @p32 :rule refl :args (@t3)) % 0.30/0.55 (step @p33 :rule cong :premises (@p32 @p31) :args (@t15)) % 0.30/0.55 (step @p34 :rule cong :premises (@p33) :args (@t16)) % 0.30/0.55 (step @p35 :rule eq_resolve :premises (@p7 @p34)) % 0.30/0.55 (step @p36 :rule instantiate :premises (@p35) :args (@t24)) % 0.30/0.55 (step @p37 :rule cnf_and_pos :args (@t27 1)) % 0.30/0.55 (step @p38 :rule reordering :premises (@p37) :args ((or @t25 @t30))) % 0.30/0.55 (step @p39 :rule chain_m_resolution :premises (@p38 @p21) :args (@t25 @t31 @t32)) % 0.30/0.55 (step @p40 :rule cnf_equiv_pos1 :args (@t38)) % 0.30/0.55 (step @p41 :rule reordering :premises (@p40) :args ((or (not @t25) @t37 (not @t38)))) % 0.30/0.55 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p36) :args (@t37 @t29 (@list @t25 @t38))) % 0.30/0.55 (step @p43 :rule alpha_equiv :args (@t37 (@list @t10) (@list @t17))) % 0.30/0.55 (step @p44 :rule equiv_elim1 :premises (@p43)) % 0.30/0.55 (step @p45 :rule chain_m_resolution :premises (@p44 @p42) :args (@t39 @t31 (@list @t37))) % 0.30/0.55 (step @p46 :rule exists-elim :args ((= @t20 (not (forall @t19 (not @t18)))))) % 0.30/0.55 (step @p47 :rule refl :args (@t5)) % 0.30/0.55 (step @p48 :rule cong :premises (@p47 @p46) :args (@t21)) % 0.30/0.55 (step @p49 :rule cong :premises (@p48) :args (@t22)) % 0.30/0.55 (step @p50 :rule eq_resolve :premises (@p8 @p49)) % 0.30/0.55 (step @p51 :rule instantiate :premises (@p50) :args (@t24)) % 0.30/0.55 (step @p52 :rule cnf_equiv_pos1 :args (@t41)) % 0.30/0.55 (step @p53 :rule reordering :premises (@p52) :args ((or (not @t33) @t40 (not @t41)))) % 0.30/0.55 (step @p54 false :rule chain_m_resolution :premises (@p53 @p51 @p45 @p27) :args (false (@list false false false) (@list @t41 @t39 @t33))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------