%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE083+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 : 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 08:28:16 AM UTC 2026 % Result : Theorem 15.60s 16.00s % Output : Proof 15.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE083+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n004.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 05:13:07 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 15.60/16.00 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.60/16.00 --- Run --no-e-matching --full-saturate-quant at 6... % 15.60/16.00 % SZS status Theorem % 15.60/16.00 % SZS output start Proof % 15.60/16.00 ( % 15.60/16.00 (declare-sort $$unsorted 0) % 15.60/16.00 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 15.60/16.00 (declare-const tptp.coantidomain (-> $$unsorted $$unsorted)) % 15.60/16.00 (declare-const tptp.antidomain (-> $$unsorted $$unsorted)) % 15.60/16.00 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 15.60/16.00 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 15.60/16.00 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 15.60/16.00 (declare-const tptp.zero $$unsorted) % 15.60/16.00 (declare-const tptp.one $$unsorted) % 15.60/16.00 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 15.60/16.00 (define @t1 () (@var "A" $$unsorted)) % 15.60/16.00 (define @t2 () (@var "B" $$unsorted)) % 15.60/16.00 (define @t3 () (tptp.addition @t1 @t2)) % 15.60/16.00 (define @t4 () (@list @t1 @t2)) % 15.60/16.00 (define @t5 () (@var "C" $$unsorted)) % 15.60/16.00 (define @t6 () (tptp.addition @t2 @t5)) % 15.60/16.00 (define @t7 () (tptp.addition @t1 tptp.zero)) % 15.60/16.00 (define @t8 () (@list @t1)) % 15.60/16.00 (define @t9 () (forall @t8 (= @t7 @t1))) % 15.60/16.00 (define @t10 () (tptp.multiplication @t1 @t2)) % 15.60/16.00 (define @t11 () (tptp.multiplication @t2 @t5)) % 15.60/16.00 (define @t12 () (@list @t1 @t2 @t5)) % 15.60/16.00 (define @t13 () (tptp.multiplication tptp.one @t1)) % 15.60/16.00 (define @t14 () (forall @t8 (= @t13 @t1))) % 15.60/16.00 (define @t15 () (tptp.multiplication @t1 @t5)) % 15.60/16.00 (define @t16 () (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t15 @t11)))) % 15.60/16.00 (define @t17 () (tptp.multiplication tptp.zero @t1)) % 15.60/16.00 (define @t18 () (forall @t8 (= @t17 tptp.zero))) % 15.60/16.00 (define @t19 () (@var "X0" $$unsorted)) % 15.60/16.00 (define @t20 () (tptp.antidomain @t19)) % 15.60/16.00 (define @t21 () (tptp.multiplication @t20 @t19)) % 15.60/16.00 (define @t22 () (@list @t19)) % 15.60/16.00 (define @t23 () (forall @t22 (= @t21 tptp.zero))) % 15.60/16.00 (define @t24 () (@var "X1" $$unsorted)) % 15.60/16.00 (define @t25 () (tptp.antidomain (tptp.multiplication @t19 (tptp.antidomain (tptp.antidomain @t24))))) % 15.60/16.00 (define @t26 () (tptp.multiplication @t19 @t24)) % 15.60/16.00 (define @t27 () (@list @t19 @t24)) % 15.60/16.00 (define @t28 () (tptp.antidomain @t20)) % 15.60/16.00 (define @t29 () (tptp.addition @t28 @t20)) % 15.60/16.00 (define @t30 () (forall @t22 (= @t29 tptp.one))) % 15.60/16.00 (define @t31 () (tptp.domain @t19)) % 15.60/16.00 (define @t32 () (forall @t22 (= @t31 @t28))) % 15.60/16.00 (define @t33 () (tptp.coantidomain @t19)) % 15.60/16.00 (define @t34 () (tptp.multiplication @t19 @t33)) % 15.60/16.00 (define @t35 () (forall @t22 (= @t34 tptp.zero))) % 15.60/16.00 (define @t36 () (tptp.coantidomain @t33)) % 15.60/16.00 (define @t37 () (tptp.coantidomain (tptp.multiplication @t36 @t24))) % 15.60/16.00 (define @t38 () (tptp.addition @t36 @t33)) % 15.60/16.00 (define @t39 () (forall @t22 (= @t38 tptp.one))) % 15.60/16.00 (define @t40 () (forall @t22 (= @t19 (tptp.multiplication @t31 @t19)))) % 15.60/16.00 (define @t41 () (@quantifiers_skolemize @t40 0)) % 15.60/16.00 (define @t42 () (tptp.domain @t41)) % 15.60/16.00 (define @t43 () (tptp.multiplication @t42 @t41)) % 15.60/16.00 (define @t44 () (tptp.addition @t43 (tptp.multiplication tptp.zero @t41))) % 15.60/16.00 (define @t45 () (tptp.multiplication (tptp.addition @t42 tptp.zero) @t41)) % 15.60/16.00 (define @t46 () (= @t45 @t44)) % 15.60/16.00 (define @t47 () (= @t44 @t45)) % 15.60/16.00 (define @t48 () (@list @t41)) % 15.60/16.00 (define @t49 () (@list tptp.one)) % 15.60/16.00 (define @t50 () (tptp.coantidomain tptp.one)) % 15.60/16.00 (define @t51 () (tptp.coantidomain @t50)) % 15.60/16.00 (define @t52 () (tptp.antidomain @t41)) % 15.60/16.00 (define @t53 () (tptp.antidomain @t52)) % 15.60/16.00 (define @t54 () (forall @t22 (= @t28 @t31))) % 15.60/16.00 (define @t55 () (= @t53 @t42)) % 15.60/16.00 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 15.60/16.00 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 15.60/16.00 (assume @p3 @t9) % 15.60/16.00 (assume @p4 (forall @t8 (= (tptp.addition @t1 @t1) @t1))) % 15.60/16.00 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 15.60/16.00 (assume @p6 (forall @t8 (= (tptp.multiplication @t1 tptp.one) @t1))) % 15.60/16.00 (assume @p7 @t14) % 15.60/16.00 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t15)))) % 15.60/16.00 (assume @p9 @t16) % 15.60/16.00 (assume @p10 (forall @t8 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 15.60/16.00 (assume @p11 @t18) % 15.60/16.00 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 15.60/16.00 (assume @p13 @t23) % 15.60/16.00 (assume @p14 (forall @t27 (= (tptp.addition (tptp.antidomain @t26) @t25) @t25))) % 15.60/16.00 (assume @p15 @t30) % 15.60/16.00 (assume @p16 @t32) % 15.60/16.00 (assume @p17 @t35) % 15.60/16.00 (assume @p18 (forall @t27 (= (tptp.addition (tptp.coantidomain @t26) @t37) @t37))) % 15.60/16.00 (assume @p19 @t39) % 15.60/16.00 (assume @p20 (forall @t22 (= (tptp.codomain @t19) @t36))) % 15.60/16.00 (assume @p21 (not @t40)) % 15.60/16.00 (assume @p22 true) % 15.60/16.00 (step @p23 :rule bool-eq-false :args (@t46)) % 15.60/16.00 (step @p24 :rule symm :premises (@p23)) % 15.60/16.00 (step @p25 :rule eq-symm :args (@t44 @t45)) % 15.60/16.00 (step @p26 :rule cong :premises (@p25) :args ((not @t47))) % 15.60/16.00 (step @p27 :rule bool-eq-false :args (@t47)) % 15.60/16.00 (step @p28 :rule trans :premises (@p27 @p26)) % 15.60/16.00 (step @p29 :rule trans :premises (@p28 @p24)) % 15.60/16.00 (step @p30 :rule skolemize :premises (@p21)) % 15.60/16.00 (step @p31 :rule false_intro :premises (@p30)) % 15.60/16.00 (step @p32 :rule refl :args (@t41)) % 15.60/16.00 (step @p33 :rule eq-symm :args (@t7 @t1)) % 15.60/16.00 (step @p34 :rule cong :premises (@p33) :args (@t9)) % 15.60/16.00 (step @p35 :rule eq_resolve :premises (@p3 @p34)) % 15.60/16.00 (step @p36 :rule instantiate :premises (@p35) :args ((@list @t42))) % 15.60/16.00 (step @p37 :rule symm :premises (@p36)) % 15.60/16.00 (step @p38 :rule cong :premises (@p37 @p32) :args (@t45)) % 15.60/16.00 (step @p39 :rule eq-symm :args (@t13 @t1)) % 15.60/16.00 (step @p40 :rule cong :premises (@p39) :args (@t14)) % 15.60/16.00 (step @p41 :rule eq_resolve :premises (@p7 @p40)) % 15.60/16.00 (step @p42 :rule instantiate :premises (@p41) :args (@t48)) % 15.60/16.00 (step @p43 :rule symm :premises (@p42)) % 15.60/16.00 (step @p44 :rule eq-symm :args (@t38 tptp.one)) % 15.60/16.00 (step @p45 :rule cong :premises (@p44) :args (@t39)) % 15.60/16.00 (step @p46 :rule eq_resolve :premises (@p19 @p45)) % 15.60/16.00 (step @p47 :rule instantiate :premises (@p46) :args (@t49)) % 15.60/16.00 (step @p48 :rule symm :premises (@p47)) % 15.60/16.00 (step @p49 :rule instantiate :premises (@p41) :args ((@list @t50))) % 15.60/16.00 (step @p50 :rule symm :premises (@p49)) % 15.60/16.00 (step @p51 :rule eq-symm :args (@t34 tptp.zero)) % 15.60/16.00 (step @p52 :rule cong :premises (@p51) :args (@t35)) % 15.60/16.00 (step @p53 :rule eq_resolve :premises (@p17 @p52)) % 15.60/16.00 (step @p54 :rule instantiate :premises (@p53) :args (@t49)) % 15.60/16.00 (step @p55 :rule trans :premises (@p54 @p50)) % 15.60/16.00 (step @p56 :rule refl :args (@t51)) % 15.60/16.00 (step @p57 :rule cong :premises (@p56 @p55) :args ((tptp.addition @t51 tptp.zero))) % 15.60/16.00 (step @p58 :rule instantiate :premises (@p35) :args ((@list @t51))) % 15.60/16.00 (step @p59 :rule trans :premises (@p58 @p57 @p48)) % 15.60/16.00 (step @p60 :rule cong :premises (@p59 @p32) :args ((tptp.multiplication @t51 @t41))) % 15.60/16.00 (step @p61 :rule symm :premises (@p59)) % 15.60/16.00 (step @p62 :rule cong :premises (@p61 @p43) :args ((tptp.multiplication tptp.one (tptp.multiplication tptp.one @t41)))) % 15.60/16.00 (step @p63 :rule eq-symm :args (@t29 tptp.one)) % 15.60/16.00 (step @p64 :rule cong :premises (@p63) :args (@t30)) % 15.60/16.00 (step @p65 :rule eq_resolve :premises (@p15 @p64)) % 15.60/16.00 (step @p66 :rule instantiate :premises (@p65) :args (@t48)) % 15.60/16.00 (step @p67 :rule symm :premises (@p66)) % 15.60/16.00 (step @p68 :rule cong :premises (@p67 @p42) :args ((tptp.multiplication (tptp.addition @t53 @t52) @t41))) % 15.60/16.00 (step @p69 :rule instantiate :premises (@p9) :args ((@list @t53 @t52 @t41))) % 15.60/16.00 (step @p70 :rule symm :premises (@p69)) % 15.60/16.00 (step @p71 :rule eq-symm :args (@t21 tptp.zero)) % 15.60/16.00 (step @p72 :rule cong :premises (@p71) :args (@t23)) % 15.60/16.00 (step @p73 :rule eq_resolve :premises (@p13 @p72)) % 15.60/16.00 (step @p74 :rule instantiate :premises (@p73) :args (@t48)) % 15.60/16.00 (step @p75 :rule eq-symm :args (@t17 tptp.zero)) % 15.60/16.00 (step @p76 :rule cong :premises (@p75) :args (@t18)) % 15.60/16.00 (step @p77 :rule eq_resolve :premises (@p11 @p76)) % 15.60/16.00 (step @p78 :rule instantiate :premises (@p77) :args (@t48)) % 15.60/16.00 (step @p79 :rule symm :premises (@p78)) % 15.60/16.00 (step @p80 :rule trans :premises (@p79 @p74)) % 15.60/16.00 (step @p81 :rule eq-symm :args (@t31 @t28)) % 15.60/16.00 (step @p82 :rule cong :premises (@p81) :args (@t32)) % 15.60/16.00 (step @p83 :rule eq_resolve :premises (@p16 @p82)) % 15.60/16.00 (step @p84 :rule eq-symm :args (@t53 @t42)) % 15.60/16.00 (step @p85 :rule refl :args (@t54)) % 15.60/16.00 (step @p86 :rule cong :premises (@p85 @p84) :args ((=> @t54 @t55))) % 15.60/16.00 (assume-push @p107 @t54) % 15.60/16.00 (step @p88 :rule instantiate :premises (@p83) :args (@t48)) % 15.60/16.00 (step-pop @p108 :rule scope :premises (@p88)) % 15.60/16.00 (step @p89 :rule process_scope :premises (@p108) :args (@t55)) % 15.60/16.00 (step @p91 :rule eq_resolve :premises (@p89 @p86)) % 15.60/16.00 (step @p92 :rule implies_elim :premises (@p91)) % 15.60/16.00 (step @p93 :rule chain_m_resolution :premises (@p92 @p83) :args ((= @t42 @t53) (@list false) (@list @t54))) % 15.60/16.00 (step @p94 :rule cong :premises (@p93 @p32) :args (@t43)) % 15.60/16.00 (step @p95 :rule cong :premises (@p94 @p80) :args (@t44)) % 15.60/16.00 (step @p96 :rule trans :premises (@p95 @p70 @p68 @p62 @p60 @p43)) % 15.60/16.00 (step @p97 :rule cong :premises (@p96 @p38) :args (@t47)) % 15.60/16.00 (step @p98 :rule trans :premises (@p97 @p31)) % 15.60/16.00 (step @p99 :rule eq_resolve :premises (@p98 @p29)) % 15.60/16.00 (step @p100 :rule false_elim :premises (@p99)) % 15.60/16.00 (assume-push @p109 @t16) % 15.60/16.00 (step @p102 :rule instantiate :premises (@p9) :args ((@list @t42 tptp.zero @t41))) % 15.60/16.00 (step-pop @p110 :rule scope :premises (@p102)) % 15.60/16.00 (step @p103 :rule process_scope :premises (@p110) :args (@t46)) % 15.60/16.00 (step @p105 :rule implies_elim :premises (@p103)) % 15.60/16.00 (step @p106 false :rule chain_m_resolution :premises (@p105 @p100 @p9) :args (false (@list true false) (@list @t46 @t16))) % 15.60/16.00 ) % 15.60/16.00 % SZS output end Proof % 15.60/16.00 % cvc5 exiting %------------------------------------------------------------------------------