%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE085+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n027.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 08:28:16 AM UTC 2026 % Result : Theorem 0.29s 0.55s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE085+1 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.33 % Computer : n027.cluster.edu % 0.17/0.33 % Model : x86_64 x86_64 % 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.33 % Memory : 8042.1875MB % 0.17/0.33 % 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 : Tue Jun 2 05:13:21 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.29/0.55 % SZS status Theorem % 0.29/0.55 % SZS output start Proof % 0.29/0.55 ( % 0.29/0.55 (declare-sort $$unsorted 0) % 0.29/0.55 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.29/0.55 (declare-const tptp.coantidomain (-> $$unsorted $$unsorted)) % 0.29/0.55 (declare-const tptp.antidomain (-> $$unsorted $$unsorted)) % 0.29/0.55 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.29/0.55 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.55 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.29/0.55 (declare-const tptp.zero $$unsorted) % 0.29/0.55 (declare-const tptp.one $$unsorted) % 0.29/0.55 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.55 (define @t1 () (@var "A" $$unsorted)) % 0.29/0.55 (define @t2 () (@var "B" $$unsorted)) % 0.29/0.55 (define @t3 () (tptp.addition @t1 @t2)) % 0.29/0.55 (define @t4 () (@list @t1 @t2)) % 0.29/0.55 (define @t5 () (@var "C" $$unsorted)) % 0.29/0.55 (define @t6 () (tptp.addition @t2 @t5)) % 0.29/0.55 (define @t7 () (@list @t1)) % 0.29/0.55 (define @t8 () (tptp.addition @t1 @t1)) % 0.29/0.55 (define @t9 () (forall @t7 (= @t8 @t1))) % 0.29/0.55 (define @t10 () (tptp.multiplication @t1 @t2)) % 0.29/0.55 (define @t11 () (tptp.multiplication @t2 @t5)) % 0.29/0.55 (define @t12 () (@list @t1 @t2 @t5)) % 0.29/0.55 (define @t13 () (tptp.multiplication @t1 @t5)) % 0.29/0.55 (define @t14 () (@var "X0" $$unsorted)) % 0.29/0.55 (define @t15 () (tptp.antidomain @t14)) % 0.29/0.55 (define @t16 () (@list @t14)) % 0.29/0.55 (define @t17 () (@var "X1" $$unsorted)) % 0.29/0.55 (define @t18 () (tptp.antidomain (tptp.multiplication @t14 (tptp.antidomain (tptp.antidomain @t17))))) % 0.29/0.55 (define @t19 () (tptp.multiplication @t14 @t17)) % 0.29/0.55 (define @t20 () (@list @t14 @t17)) % 0.29/0.55 (define @t21 () (tptp.antidomain @t15)) % 0.29/0.55 (define @t22 () (tptp.addition @t21 @t15)) % 0.29/0.55 (define @t23 () (forall @t16 (= @t22 tptp.one))) % 0.29/0.55 (define @t24 () (tptp.domain @t14)) % 0.29/0.55 (define @t25 () (forall @t16 (= @t24 @t21))) % 0.29/0.55 (define @t26 () (tptp.coantidomain @t14)) % 0.29/0.55 (define @t27 () (tptp.coantidomain @t26)) % 0.29/0.55 (define @t28 () (tptp.coantidomain (tptp.multiplication @t27 @t17))) % 0.29/0.55 (define @t29 () (tptp.addition @t24 tptp.one)) % 0.29/0.55 (define @t30 () (forall @t16 (= @t29 tptp.one))) % 0.29/0.55 (define @t31 () (not @t30)) % 0.29/0.55 (define @t32 () (@quantifiers_skolemize (forall @t16 (= tptp.one @t29)) 0)) % 0.29/0.55 (define @t33 () (tptp.antidomain @t32)) % 0.29/0.55 (define @t34 () (tptp.antidomain @t33)) % 0.29/0.55 (define @t35 () (tptp.domain @t32)) % 0.29/0.55 (define @t36 () (forall @t16 (= @t21 @t24))) % 0.29/0.55 (define @t37 () (= @t34 @t35)) % 0.29/0.55 (define @t38 () (@list @t32)) % 0.29/0.55 (define @t39 () (= @t35 @t34)) % 0.29/0.55 (define @t40 () (tptp.addition @t35 @t34)) % 0.29/0.55 (define @t41 () (tptp.addition @t34 @t33)) % 0.29/0.55 (define @t42 () (= tptp.one @t41)) % 0.29/0.55 (define @t43 () (tptp.addition @t33 @t34)) % 0.29/0.55 (define @t44 () (= @t41 @t43)) % 0.29/0.55 (define @t45 () (tptp.addition @t40 @t33)) % 0.29/0.55 (define @t46 () (tptp.addition @t35 @t41)) % 0.29/0.55 (define @t47 () (= @t46 @t45)) % 0.29/0.55 (define @t48 () (= @t45 (tptp.addition @t33 @t40))) % 0.29/0.55 (define @t49 () (tptp.addition @t34 @t34)) % 0.29/0.55 (define @t50 () (= @t34 @t49)) % 0.29/0.55 (define @t51 () (tptp.addition @t35 @t35)) % 0.29/0.55 (define @t52 () (= tptp.one (tptp.addition @t35 tptp.one))) % 0.29/0.55 (define @t53 () (and @t39 @t42 @t44 @t47 @t48 @t50)) % 0.29/0.55 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.29/0.55 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.29/0.55 (assume @p3 (forall @t7 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.29/0.55 (assume @p4 @t9) % 0.29/0.55 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 0.29/0.55 (assume @p6 (forall @t7 (= (tptp.multiplication @t1 tptp.one) @t1))) % 0.29/0.55 (assume @p7 (forall @t7 (= (tptp.multiplication tptp.one @t1) @t1))) % 0.29/0.55 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t13)))) % 0.29/0.55 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t13 @t11)))) % 0.29/0.55 (assume @p10 (forall @t7 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.29/0.55 (assume @p11 (forall @t7 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.29/0.55 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 0.29/0.55 (assume @p13 (forall @t16 (= (tptp.multiplication @t15 @t14) tptp.zero))) % 0.29/0.55 (assume @p14 (forall @t20 (= (tptp.addition (tptp.antidomain @t19) @t18) @t18))) % 0.29/0.55 (assume @p15 @t23) % 0.29/0.55 (assume @p16 @t25) % 0.29/0.55 (assume @p17 (forall @t16 (= (tptp.multiplication @t14 @t26) tptp.zero))) % 0.29/0.55 (assume @p18 (forall @t20 (= (tptp.addition (tptp.coantidomain @t19) @t28) @t28))) % 0.29/0.55 (assume @p19 (forall @t16 (= (tptp.addition @t27 @t26) tptp.one))) % 0.29/0.55 (assume @p20 (forall @t16 (= (tptp.codomain @t14) @t27))) % 0.29/0.55 (assume @p21 @t31) % 0.29/0.55 (assume @p22 true) % 0.29/0.55 (step @p23 :rule eq-symm :args (@t29 tptp.one)) % 0.29/0.55 (step @p24 :rule cong :premises (@p23) :args (@t30)) % 0.29/0.55 (step @p25 :rule cong :premises (@p24) :args (@t31)) % 0.29/0.55 (step @p26 :rule eq_resolve :premises (@p21 @p25)) % 0.29/0.55 (step @p27 :rule skolemize :premises (@p26)) % 0.29/0.55 (step @p28 :rule eq-symm :args (@t24 @t21)) % 0.29/0.55 (step @p29 :rule cong :premises (@p28) :args (@t25)) % 0.29/0.55 (step @p30 :rule eq_resolve :premises (@p16 @p29)) % 0.29/0.55 (step @p31 :rule eq-symm :args (@t34 @t35)) % 0.29/0.55 (step @p32 :rule refl :args (@t36)) % 0.29/0.55 (step @p33 :rule cong :premises (@p32 @p31) :args ((=> @t36 @t37))) % 0.29/0.55 (assume-push @p85 @t36) % 0.29/0.55 (step @p35 :rule instantiate :premises (@p30) :args (@t38)) % 0.29/0.55 (step-pop @p86 :rule scope :premises (@p35)) % 0.29/0.55 (step @p36 :rule process_scope :premises (@p86) :args (@t37)) % 0.29/0.55 (step @p38 :rule eq_resolve :premises (@p36 @p33)) % 0.29/0.55 (step @p39 :rule implies_elim :premises (@p38)) % 0.29/0.55 (step @p40 :rule chain_m_resolution :premises (@p39 @p30) :args (@t39 (@list false) (@list @t36))) % 0.29/0.55 (step @p41 :rule eq-symm :args (@t22 tptp.one)) % 0.29/0.55 (step @p42 :rule cong :premises (@p41) :args (@t23)) % 0.29/0.55 (step @p43 :rule eq_resolve :premises (@p15 @p42)) % 0.29/0.55 (step @p44 :rule instantiate :premises (@p43) :args (@t38)) % 0.29/0.55 (step @p45 :rule instantiate :premises (@p1) :args ((@list @t34 @t33))) % 0.29/0.55 (step @p46 :rule instantiate :premises (@p2) :args ((@list @t33 @t34 @t35))) % 0.29/0.55 (step @p47 :rule instantiate :premises (@p1) :args ((@list @t40 @t33))) % 0.29/0.55 (step @p48 :rule eq-symm :args (@t8 @t1)) % 0.29/0.55 (step @p49 :rule cong :premises (@p48) :args (@t9)) % 0.29/0.55 (step @p50 :rule eq_resolve :premises (@p4 @p49)) % 0.29/0.55 (step @p51 :rule instantiate :premises (@p50) :args ((@list @t34))) % 0.29/0.55 (assume-push @p87 @t39) % 0.29/0.55 (assume-push @p88 @t42) % 0.29/0.55 (assume-push @p89 @t44) % 0.29/0.55 (assume-push @p90 @t47) % 0.29/0.55 (assume-push @p91 @t48) % 0.29/0.55 (assume-push @p92 @t50) % 0.29/0.55 (step @p58 :rule symm :premises (@p44)) % 0.29/0.55 (step @p59 :rule refl :args (@t35)) % 0.29/0.55 (step @p60 :rule cong :premises (@p59 @p58) :args (@t46)) % 0.29/0.55 (step @p61 :rule symm :premises (@p46)) % 0.29/0.55 (step @p62 :rule symm :premises (@p47)) % 0.29/0.55 (step @p63 :rule cong :premises (@p59 @p40) :args (@t51)) % 0.29/0.55 (step @p64 :rule refl :args (@t33)) % 0.29/0.55 (step @p65 :rule cong :premises (@p64 @p63) :args ((tptp.addition @t33 @t51))) % 0.29/0.55 (step @p66 :rule symm :premises (@p63)) % 0.29/0.55 (step @p67 :rule refl :args (@t34)) % 0.29/0.55 (step @p35 :rule instantiate :premises (@p30) :args (@t38)) % 0.29/0.55 (step @p68 :rule cong :premises (@p35 @p67) :args (@t49)) % 0.29/0.55 (step @p69 :rule trans :premises (@p40 @p51 @p68 @p66)) % 0.29/0.55 (step @p70 :rule cong :premises (@p64 @p69) :args ((tptp.addition @t33 @t35))) % 0.29/0.55 (step @p71 :rule cong :premises (@p64 @p35) :args (@t43)) % 0.29/0.55 (step @p72 :rule trans :premises (@p44 @p45 @p71 @p70 @p65 @p62 @p61 @p60)) % 0.29/0.55 (step-pop @p93 :rule scope :premises (@p72)) % 0.29/0.55 (step-pop @p94 :rule scope :premises (@p93)) % 0.29/0.55 (step-pop @p95 :rule scope :premises (@p94)) % 0.29/0.55 (step-pop @p96 :rule scope :premises (@p95)) % 0.29/0.55 (step-pop @p97 :rule scope :premises (@p96)) % 0.29/0.55 (step-pop @p98 :rule scope :premises (@p97)) % 0.29/0.55 (step @p73 :rule process_scope :premises (@p98) :args (@t52)) % 0.29/0.55 (step @p80 :rule implies_elim :premises (@p73)) % 0.29/0.55 (step @p81 :rule cnf_and_neg :args (@t53)) % 0.29/0.55 (step @p82 :rule resolution :premises (@p81 @p80) :args (true @t53)) % 0.29/0.55 (step @p83 :rule reordering :premises (@p82) :args ((or @t52 (not @t39) (not @t42) (not @t44) (not @t47) (not @t48) (not @t50)))) % 0.29/0.55 (step @p84 false :rule chain_m_resolution :premises (@p83 @p51 @p47 @p46 @p45 @p44 @p40 @p27) :args (false (@list false false false false false false true) (@list @t50 @t48 @t47 @t44 @t42 @t39 @t52))) % 0.29/0.55 ) % 0.29/0.55 % SZS output end Proof % 0.29/0.55 % cvc5 exiting %------------------------------------------------------------------------------