%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS167+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.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 0.32s 0.57s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS167+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n020.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 05:28:55 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.32/0.57 % SZS status Theorem % 0.32/0.57 % SZS output start Proof % 0.32/0.57 ( % 0.32/0.57 (declare-sort $$unsorted 0) % 0.32/0.57 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.32/0.57 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.32/0.57 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.32/0.57 (declare-const tptp.rp (-> $$unsorted $$unsorted Bool)) % 0.32/0.57 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.32/0.57 (declare-const tptp.cc2 (-> $$unsorted Bool)) % 0.32/0.57 (declare-const tptp.cc1 (-> $$unsorted Bool)) % 0.32/0.57 (define @t1 () (@var "B" $$unsorted)) % 0.32/0.57 (define @t2 () (@var "A" $$unsorted)) % 0.32/0.57 (define @t3 () (= @t2 @t1)) % 0.32/0.57 (define @t4 () (@list @t2 @t1)) % 0.32/0.57 (define @t5 () (@var "C" $$unsorted)) % 0.32/0.57 (define @t6 () (@list @t2 @t1 @t5)) % 0.32/0.57 (define @t7 () (@var "X" $$unsorted)) % 0.32/0.57 (define @t8 () (not (tptp.cowlNothing @t7))) % 0.32/0.57 (define @t9 () (tptp.cowlThing @t7)) % 0.32/0.57 (define @t10 () (@list @t7)) % 0.32/0.57 (define @t11 () (forall @t10 (and @t9 @t8))) % 0.32/0.57 (define @t12 () (forall @t10 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.32/0.57 (define @t13 () (@var "Y1" $$unsorted)) % 0.32/0.57 (define @t14 () (@var "Y0" $$unsorted)) % 0.32/0.57 (define @t15 () (= @t14 @t13)) % 0.32/0.57 (define @t16 () (tptp.rp @t7 @t13)) % 0.32/0.57 (define @t17 () (tptp.rp @t7 @t14)) % 0.32/0.57 (define @t18 () (and @t17 @t16)) % 0.32/0.57 (define @t19 () (@list @t14 @t13)) % 0.32/0.57 (define @t20 () (forall @t19 (=> @t18 @t15))) % 0.32/0.57 (define @t21 () (@list @t14)) % 0.32/0.57 (define @t22 () (exists @t21 @t17)) % 0.32/0.57 (define @t23 () (and @t22 @t20)) % 0.32/0.57 (define @t24 () (tptp.cc1 @t7)) % 0.32/0.57 (define @t25 () (= @t24 @t23)) % 0.32/0.57 (define @t26 () (forall @t10 @t25)) % 0.32/0.57 (define @t27 () (tptp.cc2 @t7)) % 0.32/0.57 (define @t28 () (forall @t10 (= @t27 @t23))) % 0.32/0.57 (define @t29 () (forall @t10 (= @t24 @t27))) % 0.32/0.57 (define @t30 () (and @t11 @t12 @t29)) % 0.32/0.57 (define @t31 () (not @t30)) % 0.32/0.57 (define @t32 () (not @t16)) % 0.32/0.57 (define @t33 () (not @t17)) % 0.32/0.57 (define @t34 () (or @t33 @t32 @t15)) % 0.32/0.57 (define @t35 () (not (forall @t21 @t33))) % 0.32/0.57 (define @t36 () (@quantifiers_skolemize @t29 0)) % 0.32/0.57 (define @t37 () (@list @t36)) % 0.32/0.57 (define @t38 () (forall @t10 @t8)) % 0.32/0.57 (define @t39 () (@list @t7)) % 0.32/0.57 (define @t40 () (@var "BOUND_VARIABLE_7604" $$unsorted)) % 0.32/0.57 (define @t41 () (forall @t10 @t9)) % 0.32/0.57 (define @t42 () (@var "BOUND_VARIABLE_7599" $$unsorted)) % 0.32/0.57 (define @t43 () (and @t41 @t38)) % 0.32/0.57 (define @t44 () (forall (@list @t40) (not (tptp.cowlNothing @t40)))) % 0.32/0.57 (define @t45 () (forall (@list @t42) (tptp.cowlThing @t42))) % 0.32/0.57 (define @t46 () (not @t29)) % 0.32/0.57 (define @t47 () (tptp.cc2 @t36)) % 0.32/0.57 (define @t48 () (tptp.cc1 @t36)) % 0.32/0.57 (define @t49 () (= @t48 @t47)) % 0.32/0.57 (define @t50 () (not (tptp.rp @t36 @t14))) % 0.32/0.57 (define @t51 () (and (not (forall @t21 @t50)) (forall @t19 (or @t50 (not (tptp.rp @t36 @t13)) @t15)))) % 0.32/0.57 (define @t52 () (= @t48 @t51)) % 0.32/0.57 (define @t53 () (not @t52)) % 0.32/0.57 (define @t54 () (not @t51)) % 0.32/0.57 (define @t55 () (= @t47 @t51)) % 0.32/0.57 (define @t56 () (not @t55)) % 0.32/0.57 (define @t57 () (not @t47)) % 0.32/0.57 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cc1 @t2)) (tptp.cc1 @t1)))) % 0.32/0.57 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cc2 @t2)) (tptp.cc2 @t1)))) % 0.32/0.57 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.32/0.57 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.32/0.57 (assume @p5 (forall @t6 (=> (and @t3 (tptp.rp @t2 @t5)) (tptp.rp @t1 @t5)))) % 0.32/0.57 (assume @p6 (forall @t6 (=> (and @t3 (tptp.rp @t5 @t2)) (tptp.rp @t5 @t1)))) % 0.32/0.57 (assume @p7 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.32/0.57 (assume @p8 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.32/0.57 (assume @p9 @t11) % 0.32/0.57 (assume @p10 @t12) % 0.32/0.57 (assume @p11 @t26) % 0.32/0.57 (assume @p12 @t28) % 0.32/0.57 (assume @p13 @t31) % 0.32/0.57 (assume @p14 true) % 0.32/0.57 (step @p15 :rule eq-symm :args ((and @t35 (forall @t19 @t34)) @t27)) % 0.32/0.57 (step @p16 :rule refl :args (@t27)) % 0.32/0.57 (step @p17 :rule aci_norm :args ((= (or (or @t33 @t32) @t15) @t34))) % 0.32/0.57 (step @p18 :rule refl :args (@t15)) % 0.32/0.57 (step @p19 :rule bool-and-de-morgan :args (@t17 @t16 true)) % 0.32/0.57 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or (not @t18) @t15))) % 0.32/0.57 (step @p21 :rule trans :premises (@p20 @p17)) % 0.32/0.57 (step @p22 :rule bool-impl-elim :args (@t18 @t15)) % 0.32/0.57 (step @p23 :rule trans :premises (@p22 @p21)) % 0.32/0.57 (step @p24 :rule cong :premises (@p23) :args (@t20)) % 0.32/0.57 (step @p25 :rule exists-elim :args ((= @t22 @t35))) % 0.32/0.57 (step @p26 :rule nary_cong :premises (@p25 @p24) :args (@t23)) % 0.32/0.57 (step @p27 :rule cong :premises (@p26 @p16) :args ((= @t23 @t27))) % 0.32/0.57 (step @p28 :rule trans :premises (@p27 @p15)) % 0.32/0.57 (step @p29 :rule eq-symm :args (@t27 @t23)) % 0.32/0.57 (step @p30 :rule trans :premises (@p29 @p28)) % 0.32/0.57 (step @p31 :rule cong :premises (@p30) :args (@t28)) % 0.32/0.57 (step @p32 :rule eq_resolve :premises (@p12 @p31)) % 0.32/0.57 (step @p33 :rule instantiate :premises (@p32) :args (@t37)) % 0.32/0.57 (step @p34 :rule alpha_equiv :args (@t38 @t39 (@list @t40))) % 0.32/0.57 (step @p35 :rule alpha_equiv :args (@t41 @t39 (@list @t42))) % 0.32/0.57 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t43)) % 0.32/0.57 (step @p37 :rule quant-miniscope-and :args ((= @t11 @t43))) % 0.32/0.57 (step @p38 :rule trans :premises (@p37 @p36)) % 0.32/0.57 (step @p39 :rule eq_resolve :premises (@p9 @p38)) % 0.32/0.57 (step @p40 :rule and_elim :premises (@p39) :args (1)) % 0.32/0.57 (step @p41 :rule and_elim :premises (@p39) :args (0)) % 0.32/0.57 (step @p42 :rule aci_norm :args ((= (and (and @t45 @t44) @t12 @t29) (and @t12 @t29 @t45 @t44)))) % 0.32/0.57 (step @p43 :rule refl :args (@t29)) % 0.32/0.57 (step @p44 :rule refl :args (@t12)) % 0.32/0.57 (step @p45 :rule nary_cong :premises (@p38 @p44 @p43) :args (@t30)) % 0.32/0.57 (step @p46 :rule trans :premises (@p45 @p42)) % 0.32/0.57 (step @p47 :rule cong :premises (@p46) :args (@t31)) % 0.32/0.57 (step @p48 :rule eq_resolve :premises (@p13 @p47)) % 0.32/0.57 (step @p49 :rule not_and :premises (@p48)) % 0.32/0.57 (step @p50 :rule reordering :premises (@p49) :args ((or (not @t45) (not @t44) (not @t12) @t46))) % 0.32/0.57 (step @p51 :rule chain_m_resolution :premises (@p50 @p41 @p40 @p10) :args (@t46 (@list false false false) (@list @t45 @t44 @t12))) % 0.32/0.57 (step @p52 :rule skolemize :premises (@p51)) % 0.32/0.57 (step @p53 :rule cnf_equiv_neg1 :args (@t49)) % 0.32/0.57 (step @p54 :rule reordering :premises (@p53) :args ((or @t48 @t47 @t49))) % 0.32/0.57 (step @p55 :rule refl :args (@t24)) % 0.32/0.57 (step @p56 :rule cong :premises (@p55 @p26) :args (@t25)) % 0.32/0.57 (step @p57 :rule cong :premises (@p56) :args (@t26)) % 0.32/0.57 (step @p58 :rule eq_resolve :premises (@p11 @p57)) % 0.32/0.57 (step @p59 :rule instantiate :premises (@p58) :args (@t37)) % 0.32/0.57 (step @p60 :rule cnf_equiv_pos2 :args (@t52)) % 0.32/0.57 (step @p61 :rule reordering :premises (@p60) :args ((or @t48 @t54 @t53))) % 0.32/0.57 (step @p62 :rule cnf_equiv_pos1 :args (@t55)) % 0.32/0.57 (step @p63 :rule reordering :premises (@p62) :args ((or @t57 @t51 @t56))) % 0.32/0.57 (step @p64 :rule chain_m_resolution :premises (@p63 @p33 @p61 @p59 @p54 @p52) :args (@t48 (@list false true false false true) (@list @t55 @t51 @t52 @t47 @t49))) % 0.32/0.57 (step @p65 :rule cnf_equiv_neg2 :args (@t49)) % 0.32/0.57 (step @p66 :rule chain_m_resolution :premises (@p65 @p52 @p64) :args (@t57 (@list true false) (@list @t49 @t48))) % 0.32/0.57 (step @p67 :rule cnf_equiv_pos1 :args (@t52)) % 0.32/0.57 (step @p68 :rule reordering :premises (@p67) :args ((or (not @t48) @t51 @t53))) % 0.32/0.57 (step @p69 :rule chain_m_resolution :premises (@p68 @p64 @p59) :args (@t51 (@list false false) (@list @t48 @t52))) % 0.32/0.57 (step @p70 :rule cnf_equiv_pos2 :args (@t55)) % 0.32/0.57 (step @p71 :rule reordering :premises (@p70) :args ((or @t47 @t54 @t56))) % 0.32/0.57 (step @p72 false :rule chain_m_resolution :premises (@p71 @p69 @p66 @p33) :args (false (@list false true false) (@list @t51 @t47 @t55))) % 0.32/0.57 ) % 0.32/0.57 % SZS output end Proof % 0.32/0.57 % cvc5 exiting %------------------------------------------------------------------------------