%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE113+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 : n014.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 08:28:19 AM UTC 2026 % Result : Theorem 15.71s 15.96s % Output : Proof 15.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE113+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n014.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % 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 05:16:58 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 15.71/15.96 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.71/15.96 --- Run --no-e-matching --full-saturate-quant at 6... % 15.71/15.96 % SZS status Theorem % 15.71/15.96 % SZS output start Proof % 15.71/15.96 ( % 15.71/15.96 (declare-sort $$unsorted 0) % 15.71/15.96 (declare-const tptp.backward_box (-> $$unsorted $$unsorted $$unsorted)) % 15.71/15.96 (declare-const tptp.forward_box (-> $$unsorted $$unsorted $$unsorted)) % 15.71/15.96 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 15.71/15.96 (declare-const tptp.backward_diamond (-> $$unsorted $$unsorted $$unsorted)) % 15.71/15.96 (declare-const tptp.zero $$unsorted) % 15.71/15.96 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 15.71/15.96 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 15.71/15.96 (declare-const tptp.one $$unsorted) % 15.71/15.96 (declare-const tptp.antidomain (-> $$unsorted $$unsorted)) % 15.71/15.96 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 15.71/15.96 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 15.71/15.96 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 15.71/15.96 (declare-const tptp.domain_difference (-> $$unsorted $$unsorted $$unsorted)) % 15.71/15.96 (declare-const tptp.coantidomain (-> $$unsorted $$unsorted)) % 15.71/15.96 (declare-const tptp.forward_diamond (-> $$unsorted $$unsorted $$unsorted)) % 15.71/15.96 (define @t1 () (@var "A" $$unsorted)) % 15.71/15.96 (define @t2 () (@var "B" $$unsorted)) % 15.71/15.96 (define @t3 () (tptp.addition @t1 @t2)) % 15.71/15.96 (define @t4 () (@list @t1 @t2)) % 15.71/15.96 (define @t5 () (@var "C" $$unsorted)) % 15.71/15.96 (define @t6 () (tptp.addition @t2 @t5)) % 15.71/15.96 (define @t7 () (tptp.addition @t1 tptp.zero)) % 15.71/15.96 (define @t8 () (@list @t1)) % 15.71/15.96 (define @t9 () (forall @t8 (= @t7 @t1))) % 15.71/15.96 (define @t10 () (tptp.multiplication @t1 @t2)) % 15.71/15.96 (define @t11 () (tptp.multiplication @t2 @t5)) % 15.71/15.96 (define @t12 () (@list @t1 @t2 @t5)) % 15.71/15.96 (define @t13 () (tptp.multiplication @t1 tptp.one)) % 15.71/15.96 (define @t14 () (forall @t8 (= @t13 @t1))) % 15.71/15.96 (define @t15 () (tptp.multiplication tptp.one @t1)) % 15.71/15.96 (define @t16 () (forall @t8 (= @t15 @t1))) % 15.71/15.96 (define @t17 () (tptp.multiplication @t1 @t5)) % 15.71/15.96 (define @t18 () (tptp.multiplication @t1 tptp.zero)) % 15.71/15.96 (define @t19 () (forall @t8 (= @t18 tptp.zero))) % 15.71/15.96 (define @t20 () (@var "X0" $$unsorted)) % 15.71/15.96 (define @t21 () (tptp.antidomain @t20)) % 15.71/15.96 (define @t22 () (tptp.multiplication @t21 @t20)) % 15.71/15.96 (define @t23 () (@list @t20)) % 15.71/15.96 (define @t24 () (forall @t23 (= @t22 tptp.zero))) % 15.71/15.96 (define @t25 () (@var "X1" $$unsorted)) % 15.71/15.96 (define @t26 () (tptp.antidomain @t25)) % 15.71/15.96 (define @t27 () (tptp.antidomain (tptp.multiplication @t20 (tptp.antidomain @t26)))) % 15.71/15.96 (define @t28 () (tptp.multiplication @t20 @t25)) % 15.71/15.96 (define @t29 () (@list @t20 @t25)) % 15.71/15.96 (define @t30 () (tptp.antidomain @t21)) % 15.71/15.96 (define @t31 () (tptp.addition @t30 @t21)) % 15.71/15.96 (define @t32 () (forall @t23 (= @t31 tptp.one))) % 15.71/15.96 (define @t33 () (tptp.domain @t20)) % 15.71/15.96 (define @t34 () (forall @t23 (= @t33 @t30))) % 15.71/15.96 (define @t35 () (tptp.coantidomain @t20)) % 15.71/15.96 (define @t36 () (tptp.coantidomain @t35)) % 15.71/15.96 (define @t37 () (tptp.coantidomain (tptp.multiplication @t36 @t25))) % 15.71/15.96 (define @t38 () (forall @t29 (= (tptp.forward_diamond @t20 @t25) (tptp.domain (tptp.multiplication @t20 (tptp.domain @t25)))))) % 15.71/15.96 (define @t39 () (tptp.c @t25)) % 15.71/15.96 (define @t40 () (tptp.forward_diamond @t20 tptp.zero)) % 15.71/15.96 (define @t41 () (forall @t23 (= @t40 tptp.zero))) % 15.71/15.96 (define @t42 () (not @t41)) % 15.71/15.96 (define @t43 () (@quantifiers_skolemize (forall @t23 (= tptp.zero @t40)) 0)) % 15.71/15.96 (define @t44 () (tptp.multiplication @t43 (tptp.domain tptp.zero))) % 15.71/15.96 (define @t45 () (tptp.domain @t44)) % 15.71/15.96 (define @t46 () (tptp.forward_diamond @t43 tptp.zero)) % 15.71/15.96 (define @t47 () (= @t46 @t45)) % 15.71/15.96 (define @t48 () (= @t45 @t46)) % 15.71/15.96 (define @t49 () (@list tptp.one)) % 15.71/15.96 (define @t50 () (tptp.antidomain tptp.one)) % 15.71/15.96 (define @t51 () (tptp.antidomain @t50)) % 15.71/15.96 (define @t52 () (@list @t51)) % 15.71/15.96 (define @t53 () (tptp.antidomain tptp.zero)) % 15.71/15.96 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 15.71/15.96 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 15.71/15.96 (assume @p3 @t9) % 15.71/15.96 (assume @p4 (forall @t8 (= (tptp.addition @t1 @t1) @t1))) % 15.71/15.96 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 15.71/15.96 (assume @p6 @t14) % 15.71/15.96 (assume @p7 @t16) % 15.71/15.96 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t17)))) % 15.71/15.96 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t17 @t11)))) % 15.71/15.96 (assume @p10 @t19) % 15.71/15.96 (assume @p11 (forall @t8 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 15.71/15.96 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 15.71/15.96 (assume @p13 @t24) % 15.71/15.96 (assume @p14 (forall @t29 (= (tptp.addition (tptp.antidomain @t28) @t27) @t27))) % 15.71/15.96 (assume @p15 @t32) % 15.71/15.96 (assume @p16 @t34) % 15.71/15.96 (assume @p17 (forall @t23 (= (tptp.multiplication @t20 @t35) tptp.zero))) % 15.71/15.96 (assume @p18 (forall @t29 (= (tptp.addition (tptp.coantidomain @t28) @t37) @t37))) % 15.71/15.96 (assume @p19 (forall @t23 (= (tptp.addition @t36 @t35) tptp.one))) % 15.71/15.96 (assume @p20 (forall @t23 (= (tptp.codomain @t20) @t36))) % 15.71/15.96 (assume @p21 (forall @t23 (= (tptp.c @t20) (tptp.antidomain @t33)))) % 15.71/15.96 (assume @p22 (forall @t29 (= (tptp.domain_difference @t20 @t25) (tptp.multiplication @t33 @t26)))) % 15.71/15.96 (assume @p23 @t38) % 15.71/15.96 (assume @p24 (forall @t29 (= (tptp.backward_diamond @t20 @t25) (tptp.codomain (tptp.multiplication (tptp.codomain @t25) @t20))))) % 15.71/15.96 (assume @p25 (forall @t29 (= (tptp.forward_box @t20 @t25) (tptp.c (tptp.forward_diamond @t20 @t39))))) % 15.71/15.96 (assume @p26 (forall @t29 (= (tptp.backward_box @t20 @t25) (tptp.c (tptp.backward_diamond @t20 @t39))))) % 15.71/15.96 (assume @p27 @t42) % 15.71/15.96 (assume @p28 true) % 15.71/15.96 (step @p29 :rule bool-eq-false :args (@t47)) % 15.71/15.96 (step @p30 :rule symm :premises (@p29)) % 15.71/15.96 (step @p31 :rule eq-symm :args (@t45 @t46)) % 15.71/15.96 (step @p32 :rule cong :premises (@p31) :args ((not @t48))) % 15.71/15.96 (step @p33 :rule bool-eq-false :args (@t48)) % 15.71/15.96 (step @p34 :rule trans :premises (@p33 @p32)) % 15.71/15.96 (step @p35 :rule trans :premises (@p34 @p30)) % 15.71/15.96 (step @p36 :rule eq-symm :args (@t40 tptp.zero)) % 15.71/15.96 (step @p37 :rule cong :premises (@p36) :args (@t41)) % 15.71/15.96 (step @p38 :rule cong :premises (@p37) :args (@t42)) % 15.71/15.96 (step @p39 :rule eq_resolve :premises (@p27 @p38)) % 15.71/15.96 (step @p40 :rule skolemize :premises (@p39)) % 15.71/15.96 (step @p41 :rule false_intro :premises (@p40)) % 15.71/15.96 (step @p42 :rule refl :args (@t46)) % 15.71/15.96 (step @p43 :rule eq-symm :args (@t22 tptp.zero)) % 15.71/15.96 (step @p44 :rule cong :premises (@p43) :args (@t24)) % 15.71/15.96 (step @p45 :rule eq_resolve :premises (@p13 @p44)) % 15.71/15.96 (step @p46 :rule instantiate :premises (@p45) :args (@t49)) % 15.71/15.96 (step @p47 :rule symm :premises (@p46)) % 15.71/15.96 (step @p48 :rule eq-symm :args (@t13 @t1)) % 15.71/15.96 (step @p49 :rule cong :premises (@p48) :args (@t14)) % 15.71/15.96 (step @p50 :rule eq_resolve :premises (@p6 @p49)) % 15.71/15.96 (step @p51 :rule instantiate :premises (@p50) :args ((@list @t50))) % 15.71/15.96 (step @p52 :rule eq-symm :args (@t31 tptp.one)) % 15.71/15.96 (step @p53 :rule cong :premises (@p52) :args (@t32)) % 15.71/15.96 (step @p54 :rule eq_resolve :premises (@p15 @p53)) % 15.71/15.96 (step @p55 :rule instantiate :premises (@p54) :args (@t49)) % 15.71/15.96 (step @p56 :rule symm :premises (@p55)) % 15.71/15.96 (step @p57 :rule symm :premises (@p51)) % 15.71/15.96 (step @p58 :rule trans :premises (@p46 @p57)) % 15.71/15.96 (step @p59 :rule refl :args (@t51)) % 15.71/15.96 (step @p60 :rule cong :premises (@p59 @p58) :args ((tptp.addition @t51 tptp.zero))) % 15.71/15.96 (step @p61 :rule eq-symm :args (@t7 @t1)) % 15.71/15.96 (step @p62 :rule cong :premises (@p61) :args (@t9)) % 15.71/15.96 (step @p63 :rule eq_resolve :premises (@p3 @p62)) % 15.71/15.96 (step @p64 :rule instantiate :premises (@p63) :args (@t52)) % 15.71/15.96 (step @p65 :rule eq-symm :args (@t15 @t1)) % 15.71/15.96 (step @p66 :rule cong :premises (@p65) :args (@t16)) % 15.71/15.96 (step @p67 :rule eq_resolve :premises (@p7 @p66)) % 15.71/15.96 (step @p68 :rule instantiate :premises (@p67) :args (@t52)) % 15.71/15.96 (step @p69 :rule symm :premises (@p68)) % 15.71/15.96 (step @p70 :rule trans :premises (@p69 @p64 @p60 @p56)) % 15.71/15.96 (step @p71 :rule cong :premises (@p70) :args ((tptp.antidomain (tptp.multiplication tptp.one @t51)))) % 15.71/15.96 (step @p72 :rule cong :premises (@p58) :args (@t53)) % 15.71/15.96 (step @p73 :rule trans :premises (@p72 @p68)) % 15.71/15.96 (step @p74 :rule cong :premises (@p73) :args ((tptp.antidomain @t53))) % 15.71/15.96 (step @p75 :rule eq-symm :args (@t33 @t30)) % 15.71/15.96 (step @p76 :rule cong :premises (@p75) :args (@t34)) % 15.71/15.96 (step @p77 :rule eq_resolve :premises (@p16 @p76)) % 15.71/15.96 (step @p78 :rule instantiate :premises (@p77) :args ((@list tptp.zero))) % 15.71/15.96 (step @p79 :rule symm :premises (@p78)) % 15.71/15.96 (step @p80 :rule eq-symm :args (@t18 tptp.zero)) % 15.71/15.96 (step @p81 :rule cong :premises (@p80) :args (@t19)) % 15.71/15.96 (step @p82 :rule eq_resolve :premises (@p10 @p81)) % 15.71/15.96 (step @p83 :rule instantiate :premises (@p82) :args ((@list @t43))) % 15.71/15.96 (step @p84 :rule symm :premises (@p83)) % 15.71/15.96 (step @p85 :rule trans :premises (@p79 @p74 @p71 @p51 @p47)) % 15.71/15.97 (step @p86 :rule refl :args (@t43)) % 15.71/15.97 (step @p87 :rule cong :premises (@p86 @p85) :args (@t44)) % 15.71/15.97 (step @p88 :rule trans :premises (@p87 @p84)) % 15.71/15.97 (step @p89 :rule cong :premises (@p88) :args (@t45)) % 15.71/15.97 (step @p90 :rule trans :premises (@p89 @p79 @p74 @p71 @p51 @p47)) % 15.71/15.97 (step @p91 :rule cong :premises (@p90 @p42) :args (@t48)) % 15.71/15.97 (step @p92 :rule trans :premises (@p91 @p41)) % 15.71/15.97 (step @p93 :rule eq_resolve :premises (@p92 @p35)) % 15.71/15.97 (step @p94 :rule false_elim :premises (@p93)) % 15.71/15.97 (assume-push @p101 @t38) % 15.71/15.97 (step @p96 :rule instantiate :premises (@p23) :args ((@list @t43 tptp.zero))) % 15.71/15.97 (step-pop @p102 :rule scope :premises (@p96)) % 15.71/15.97 (step @p97 :rule process_scope :premises (@p102) :args (@t47)) % 15.71/15.97 (step @p99 :rule implies_elim :premises (@p97)) % 15.71/15.97 (step @p100 false :rule chain_m_resolution :premises (@p99 @p94 @p23) :args (false (@list true false) (@list @t47 @t38))) % 15.71/15.97 ) % 15.71/15.97 % SZS output end Proof % 15.71/15.97 % cvc5 exiting %------------------------------------------------------------------------------