%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE070+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:28:15 AM UTC 2026 % Result : Theorem 15.56s 15.81s % Output : Proof 15.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : KLE070+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.06/0.24 % Computer : n024.cluster.edu % 0.06/0.24 % Model : x86_64 x86_64 % 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.24 % Memory : 8042.1875MB % 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.24 % CPULimit : 300 % 0.06/0.24 % WCLimit : 300 % 0.06/0.24 % DateTime : Tue Jun 2 00:12:30 EDT 2026 % 0.06/0.24 % CPUTime : % 0.06/0.32 %----Proving TF0_NAR, FOF, or CNF % 15.56/15.81 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.56/15.81 --- Run --no-e-matching --full-saturate-quant at 6... % 15.56/15.81 % SZS status Theorem % 15.56/15.81 % SZS output start Proof % 15.56/15.81 ( % 15.56/15.81 (declare-sort $$unsorted 0) % 15.56/15.81 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 15.56/15.81 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 15.56/15.81 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 15.56/15.81 (declare-const tptp.zero $$unsorted) % 15.56/15.81 (declare-const tptp.one $$unsorted) % 15.56/15.81 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 15.56/15.81 (define @t1 () (@var "A" $$unsorted)) % 15.56/15.81 (define @t2 () (@var "B" $$unsorted)) % 15.56/15.81 (define @t3 () (tptp.addition @t1 @t2)) % 15.56/15.81 (define @t4 () (@list @t1 @t2)) % 15.56/15.81 (define @t5 () (@var "C" $$unsorted)) % 15.56/15.81 (define @t6 () (tptp.addition @t2 @t5)) % 15.56/15.81 (define @t7 () (@list @t1)) % 15.56/15.81 (define @t8 () (tptp.multiplication @t1 @t2)) % 15.56/15.81 (define @t9 () (tptp.multiplication @t2 @t5)) % 15.56/15.81 (define @t10 () (@list @t1 @t2 @t5)) % 15.56/15.81 (define @t11 () (tptp.multiplication @t1 tptp.one)) % 15.56/15.81 (define @t12 () (forall @t7 (= @t11 @t1))) % 15.56/15.81 (define @t13 () (tptp.multiplication @t1 @t5)) % 15.56/15.81 (define @t14 () (@var "X0" $$unsorted)) % 15.56/15.81 (define @t15 () (tptp.domain @t14)) % 15.56/15.81 (define @t16 () (tptp.multiplication @t15 @t14)) % 15.56/15.81 (define @t17 () (@list @t14)) % 15.56/15.81 (define @t18 () (@var "X1" $$unsorted)) % 15.56/15.81 (define @t19 () (tptp.domain @t18)) % 15.56/15.81 (define @t20 () (@list @t14 @t18)) % 15.56/15.81 (define @t21 () (tptp.addition @t15 tptp.one)) % 15.56/15.81 (define @t22 () (forall @t17 (= @t21 tptp.one))) % 15.56/15.81 (define @t23 () (tptp.addition @t15 (tptp.multiplication @t15 @t19))) % 15.56/15.81 (define @t24 () (forall @t20 (= @t23 @t15))) % 15.56/15.81 (define @t25 () (not @t24)) % 15.56/15.81 (define @t26 () (forall @t20 (= @t15 @t23))) % 15.56/15.81 (define @t27 () (@quantifiers_skolemize @t26 1)) % 15.56/15.81 (define @t28 () (tptp.domain (@quantifiers_skolemize @t26 0))) % 15.56/15.81 (define @t29 () (tptp.domain @t27)) % 15.56/15.81 (define @t30 () (tptp.multiplication @t28 @t29)) % 15.56/15.81 (define @t31 () (tptp.multiplication @t28 tptp.one)) % 15.56/15.81 (define @t32 () (tptp.addition @t31 @t30)) % 15.56/15.81 (define @t33 () (tptp.addition tptp.one @t29)) % 15.56/15.81 (define @t34 () (tptp.multiplication @t28 @t33)) % 15.56/15.81 (define @t35 () (= @t34 @t32)) % 15.56/15.81 (define @t36 () (not @t35)) % 15.56/15.81 (define @t37 () (tptp.addition @t29 tptp.one)) % 15.56/15.81 (define @t38 () (= @t37 @t33)) % 15.56/15.81 (define @t39 () (not @t38)) % 15.56/15.81 (define @t40 () (= @t28 @t31)) % 15.56/15.81 (define @t41 () (not @t40)) % 15.56/15.81 (define @t42 () (= tptp.one @t37)) % 15.56/15.81 (define @t43 () (not @t42)) % 15.56/15.81 (define @t44 () (= @t28 (tptp.addition @t28 @t30))) % 15.56/15.81 (define @t45 () (not @t44)) % 15.56/15.81 (define @t46 () (and @t35 @t36)) % 15.56/15.81 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 15.56/15.81 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 15.56/15.81 (assume @p3 (forall @t7 (= (tptp.addition @t1 tptp.zero) @t1))) % 15.56/15.81 (assume @p4 (forall @t7 (= (tptp.addition @t1 @t1) @t1))) % 15.56/15.81 (assume @p5 (forall @t10 (= (tptp.multiplication @t1 @t9) (tptp.multiplication @t8 @t5)))) % 15.56/15.81 (assume @p6 @t12) % 15.56/15.81 (assume @p7 (forall @t7 (= (tptp.multiplication tptp.one @t1) @t1))) % 15.56/15.81 (assume @p8 (forall @t10 (= (tptp.multiplication @t1 @t6) (tptp.addition @t8 @t13)))) % 15.56/15.81 (assume @p9 (forall @t10 (= (tptp.multiplication @t3 @t5) (tptp.addition @t13 @t9)))) % 15.56/15.81 (assume @p10 (forall @t7 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 15.56/15.81 (assume @p11 (forall @t7 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 15.56/15.81 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 15.56/15.81 (assume @p13 (forall @t17 (= (tptp.addition @t14 @t16) @t16))) % 15.56/15.81 (assume @p14 (forall @t20 (= (tptp.domain (tptp.multiplication @t14 @t18)) (tptp.domain (tptp.multiplication @t14 @t19))))) % 15.56/15.81 (assume @p15 @t22) % 15.56/15.81 (assume @p16 (= (tptp.domain tptp.zero) tptp.zero)) % 15.56/15.81 (assume @p17 (forall @t20 (= (tptp.domain (tptp.addition @t14 @t18)) (tptp.addition @t15 @t19)))) % 15.56/15.81 (assume @p18 @t25) % 15.56/15.81 (assume @p19 true) % 15.56/15.81 (step @p20 :rule eq-symm :args (@t23 @t15)) % 15.56/15.81 (step @p21 :rule cong :premises (@p20) :args (@t24)) % 15.56/15.81 (step @p22 :rule cong :premises (@p21) :args (@t25)) % 15.56/15.81 (step @p23 :rule eq_resolve :premises (@p18 @p22)) % 15.56/15.81 (step @p24 :rule skolemize :premises (@p23)) % 15.56/15.81 (step @p25 :rule eq-symm :args (@t21 tptp.one)) % 15.56/15.81 (step @p26 :rule cong :premises (@p25) :args (@t22)) % 15.56/15.81 (step @p27 :rule eq_resolve :premises (@p15 @p26)) % 15.56/15.81 (step @p28 :rule instantiate :premises (@p27) :args ((@list @t27))) % 15.56/15.81 (step @p29 :rule eq-symm :args (@t11 @t1)) % 15.56/15.81 (step @p30 :rule cong :premises (@p29) :args (@t12)) % 15.56/15.81 (step @p31 :rule eq_resolve :premises (@p6 @p30)) % 15.56/15.81 (step @p32 :rule instantiate :premises (@p31) :args ((@list @t28))) % 15.56/15.81 (step @p33 :rule instantiate :premises (@p1) :args ((@list @t29 tptp.one))) % 15.56/15.81 (step @p34 :rule instantiate :premises (@p8) :args ((@list @t28 tptp.one @t29))) % 15.56/15.81 (step @p35 :rule refl :args (@t36)) % 15.56/15.81 (step @p36 :rule refl :args (@t39)) % 15.56/15.81 (step @p37 :rule refl :args (@t41)) % 15.56/15.81 (step @p38 :rule refl :args (@t43)) % 15.56/15.81 (step @p39 :rule bool-double-not-elim :args (@t44)) % 15.56/15.81 (step @p40 :rule nary_cong :premises (@p39 @p38 @p37 @p36 @p35) :args ((or (not @t45) @t43 @t41 @t39 @t36))) % 15.56/15.81 (assume-push @p82 @t35) % 15.56/15.81 (assume-push @p83 @t36) % 15.56/15.81 (step @p43 :rule evaluate :args ((= false true))) % 15.56/15.81 (step @p44 :rule true_intro :premises (@p34)) % 15.56/15.81 (step @p45 :rule false_intro :premises (@p24)) % 15.56/15.81 (step @p46 :rule refl :args (@t30)) % 15.56/15.81 (step @p47 :rule symm :premises (@p32)) % 15.56/15.81 (step @p48 :rule cong :premises (@p47 @p46) :args (@t32)) % 15.56/15.81 (step @p49 :rule symm :premises (@p28)) % 15.56/15.81 (step @p50 :rule symm :premises (@p33)) % 15.56/15.81 (step @p51 :rule trans :premises (@p50 @p49)) % 15.56/15.81 (step @p52 :rule refl :args (@t28)) % 15.56/15.81 (step @p53 :rule cong :premises (@p52 @p51) :args (@t34)) % 15.56/15.81 (step @p54 :rule trans :premises (@p53 @p47)) % 15.56/15.81 (step @p55 :rule cong :premises (@p54 @p48) :args (@t35)) % 15.56/15.81 (step @p56 :rule trans :premises (@p55 @p45)) % 15.56/15.81 (step @p57 :rule symm :premises (@p56)) % 15.56/15.81 (step @p58 :rule trans :premises (@p57 @p44)) % 15.56/15.81 (step @p59 false :rule eq_resolve :premises (@p58 @p43)) % 15.56/15.81 (step-pop @p84 :rule scope :premises (@p59)) % 15.56/15.81 (step-pop @p85 :rule scope :premises (@p84)) % 15.56/15.81 (step @p60 :rule process_scope :premises (@p85) :args (false)) % 15.56/15.81 (assume-push @p86 @t45) % 15.56/15.81 (assume-push @p87 @t42) % 15.56/15.81 (assume-push @p88 @t40) % 15.56/15.81 (assume-push @p89 @t38) % 15.56/15.81 (assume-push @p90 @t35) % 15.56/15.81 (step @p45 :rule false_intro :premises (@p24)) % 15.56/15.81 (step @p46 :rule refl :args (@t30)) % 15.56/15.81 (step @p47 :rule symm :premises (@p32)) % 15.56/15.81 (step @p48 :rule cong :premises (@p47 @p46) :args (@t32)) % 15.56/15.81 (step @p49 :rule symm :premises (@p28)) % 15.56/15.81 (step @p50 :rule symm :premises (@p33)) % 15.56/15.81 (step @p51 :rule trans :premises (@p50 @p49)) % 15.56/15.81 (step @p52 :rule refl :args (@t28)) % 15.56/15.81 (step @p53 :rule cong :premises (@p52 @p51) :args (@t34)) % 15.56/15.81 (step @p54 :rule trans :premises (@p53 @p47)) % 15.56/15.81 (step @p55 :rule cong :premises (@p54 @p48) :args (@t35)) % 15.56/15.81 (step @p68 :rule trans :premises (@p55 @p45)) % 15.56/15.81 (step @p69 :rule false_elim :premises (@p68)) % 15.56/15.81 (step @p70 :rule and_intro :premises (@p34 @p69)) % 15.56/15.81 (step-pop @p91 :rule scope :premises (@p70)) % 15.56/15.81 (step-pop @p92 :rule scope :premises (@p91)) % 15.56/15.81 (step-pop @p93 :rule scope :premises (@p92)) % 15.56/15.81 (step-pop @p94 :rule scope :premises (@p93)) % 15.56/15.81 (step-pop @p95 :rule scope :premises (@p94)) % 15.56/15.81 (step @p71 :rule process_scope :premises (@p95) :args (@t46)) % 15.56/15.81 (step @p77 :rule implies_elim :premises (@p71)) % 15.56/15.81 (step @p78 :rule resolution :premises (@p77 @p60) :args (true @t46)) % 15.56/15.81 (step @p79 :rule not_and :premises (@p78)) % 15.56/15.81 (step @p80 :rule eq_resolve :premises (@p79 @p40)) % 15.56/15.81 (step @p81 false :rule chain_m_resolution :premises (@p80 @p34 @p33 @p32 @p28 @p24) :args (false (@list false false false false true) (@list @t35 @t38 @t40 @t42 @t44))) % 15.56/15.81 ) % 15.56/15.81 % SZS output end Proof % 15.56/15.81 % cvc5 exiting %------------------------------------------------------------------------------