%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE151-10 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:28:24 AM UTC 2026 % Result : Unsatisfiable 33.63s 34.00s % Output : Proof 33.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE151-10 : TPTP v9.2.1. Released v7.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n009.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 05:20:44 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.40/15.67 --- Run --no-e-matching --full-saturate-quant at 6... % 21.52/21.70 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.52/27.73 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.51/33.79 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.63/34.00 % SZS status Unsatisfiable % 33.63/34.00 % SZS output start Proof % 33.63/34.01 ( % 33.63/34.01 (declare-sort $$unsorted 0) % 33.63/34.01 (declare-const tptp.strong_iteration (-> $$unsorted $$unsorted)) % 33.63/34.01 (declare-const tptp.true $$unsorted) % 33.63/34.01 (declare-const tptp.sK2_goals_X0 $$unsorted) % 33.63/34.01 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 33.63/34.01 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 33.63/34.01 (declare-const tptp.zero $$unsorted) % 33.63/34.01 (declare-const tptp.one $$unsorted) % 33.63/34.01 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 33.63/34.01 (declare-const tptp.sK1_goals_X1 $$unsorted) % 33.63/34.01 (declare-const tptp.ifeq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.63/34.01 (declare-const tptp.leq (-> $$unsorted $$unsorted $$unsorted)) % 33.63/34.01 (declare-const tptp.ifeq2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.63/34.01 (declare-const tptp.ifeq3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.63/34.01 (define @t1 () (@var "B" $$unsorted)) % 33.63/34.01 (define @t2 () (@var "C" $$unsorted)) % 33.63/34.01 (define @t3 () (@var "A" $$unsorted)) % 33.63/34.01 (define @t4 () (tptp.ifeq3 @t3 @t3 @t1 @t2)) % 33.63/34.01 (define @t5 () (@list @t3 @t1 @t2)) % 33.63/34.01 (define @t6 () (forall @t5 (= @t4 @t1))) % 33.63/34.01 (define @t7 () (tptp.ifeq @t3 @t3 @t1 @t2)) % 33.63/34.01 (define @t8 () (forall @t5 (= @t7 @t1))) % 33.63/34.01 (define @t9 () (tptp.addition @t3 @t1)) % 33.63/34.01 (define @t10 () (@list @t3 @t1)) % 33.63/34.01 (define @t11 () (tptp.addition @t1 @t2)) % 33.63/34.01 (define @t12 () (@list @t3)) % 33.63/34.01 (define @t13 () (tptp.addition @t3 @t3)) % 33.63/34.01 (define @t14 () (forall @t12 (= @t13 @t3))) % 33.63/34.01 (define @t15 () (tptp.multiplication @t3 @t1)) % 33.63/34.01 (define @t16 () (tptp.multiplication @t1 @t2)) % 33.63/34.01 (define @t17 () (forall @t5 (= (tptp.multiplication @t3 @t16) (tptp.multiplication @t15 @t2)))) % 33.63/34.01 (define @t18 () (tptp.multiplication @t3 tptp.one)) % 33.63/34.01 (define @t19 () (forall @t12 (= @t18 @t3))) % 33.63/34.01 (define @t20 () (tptp.multiplication @t3 @t2)) % 33.63/34.01 (define @t21 () (tptp.star @t3)) % 33.63/34.01 (define @t22 () (tptp.addition @t20 @t1)) % 33.63/34.01 (define @t23 () (@list @t2 @t3 @t1)) % 33.63/34.01 (define @t24 () (tptp.strong_iteration @t3)) % 33.63/34.01 (define @t25 () (tptp.ifeq (tptp.leq @t2 @t22) tptp.true (tptp.leq @t2 (tptp.multiplication @t24 @t1)) tptp.true)) % 33.63/34.01 (define @t26 () (forall @t23 (= @t25 tptp.true))) % 33.63/34.01 (define @t27 () (tptp.leq @t3 @t1)) % 33.63/34.01 (define @t28 () (tptp.ifeq3 @t9 @t1 @t27 tptp.true)) % 33.63/34.01 (define @t29 () (forall @t10 (= @t28 tptp.true))) % 33.63/34.01 (define @t30 () (tptp.multiplication tptp.sK2_goals_X0 tptp.sK1_goals_X1)) % 33.63/34.01 (define @t31 () (tptp.multiplication tptp.sK1_goals_X1 tptp.sK2_goals_X0)) % 33.63/34.01 (define @t32 () (tptp.strong_iteration @t31)) % 33.63/34.01 (define @t33 () (tptp.multiplication tptp.sK2_goals_X0 @t32)) % 33.63/34.01 (define @t34 () (tptp.leq @t33 (tptp.multiplication (tptp.strong_iteration @t30) tptp.sK2_goals_X0))) % 33.63/34.01 (define @t35 () (tptp.multiplication @t30 @t33)) % 33.63/34.01 (define @t36 () (tptp.addition @t35 tptp.sK2_goals_X0)) % 33.63/34.01 (define @t37 () (tptp.leq @t33 @t36)) % 33.63/34.01 (define @t38 () (tptp.ifeq @t37 @t37 @t34 tptp.true)) % 33.63/34.01 (define @t39 () (= @t34 @t38)) % 33.63/34.01 (define @t40 () (= @t38 @t34)) % 33.63/34.01 (define @t41 () (@list @t31)) % 33.63/34.01 (define @t42 () (tptp.multiplication @t32 tptp.zero)) % 33.63/34.01 (define @t43 () (tptp.star @t31)) % 33.63/34.01 (define @t44 () (tptp.multiplication tptp.sK1_goals_X1 @t33)) % 33.63/34.01 (define @t45 () (tptp.multiplication @t31 @t32)) % 33.63/34.01 (define @t46 () (= @t44 @t45)) % 33.63/34.01 (define @t47 () (tptp.multiplication tptp.sK2_goals_X0 @t45)) % 33.63/34.01 (define @t48 () (tptp.addition @t45 tptp.one)) % 33.63/34.01 (define @t49 () (tptp.multiplication tptp.sK2_goals_X0 @t48)) % 33.63/34.01 (define @t50 () (tptp.addition @t33 @t36)) % 33.63/34.01 (define @t51 () (forall @t5 (= @t1 @t7))) % 33.63/34.01 (assume @p1 @t6) % 33.63/34.01 (assume @p2 (forall @t5 (= (tptp.ifeq2 @t3 @t3 @t1 @t2) @t1))) % 33.63/34.01 (assume @p3 @t8) % 33.63/34.01 (assume @p4 (forall @t10 (= @t9 (tptp.addition @t1 @t3)))) % 33.63/34.01 (assume @p5 (forall @t5 (= (tptp.addition @t3 @t11) (tptp.addition @t9 @t2)))) % 33.63/34.01 (assume @p6 (forall @t12 (= (tptp.addition @t3 tptp.zero) @t3))) % 33.63/34.01 (assume @p7 @t14) % 33.63/34.01 (assume @p8 @t17) % 33.63/34.01 (assume @p9 @t19) % 33.63/34.01 (assume @p10 (forall @t12 (= (tptp.multiplication tptp.one @t3) @t3))) % 33.63/34.01 (assume @p11 (forall @t5 (= (tptp.multiplication @t3 @t11) (tptp.addition @t15 @t20)))) % 33.63/34.01 (assume @p12 (forall @t5 (= (tptp.multiplication @t9 @t2) (tptp.addition @t20 @t16)))) % 33.63/34.01 (assume @p13 (forall @t12 (= (tptp.multiplication tptp.zero @t3) tptp.zero))) % 33.63/34.01 (assume @p14 (forall @t12 (= (tptp.addition tptp.one (tptp.multiplication @t3 @t21)) @t21))) % 33.63/34.01 (assume @p15 (forall @t12 (= (tptp.addition tptp.one (tptp.multiplication @t21 @t3)) @t21))) % 33.63/34.01 (assume @p16 (forall (@list @t3 @t2 @t1) (= (tptp.ifeq (tptp.leq @t22 @t2) tptp.true (tptp.leq (tptp.multiplication @t21 @t1) @t2) tptp.true) tptp.true))) % 33.63/34.01 (assume @p17 (forall @t23 (= (tptp.ifeq (tptp.leq (tptp.addition (tptp.multiplication @t2 @t3) @t1) @t2) tptp.true (tptp.leq (tptp.multiplication @t1 @t21) @t2) tptp.true) tptp.true))) % 33.63/34.01 (assume @p18 (forall @t12 (= @t24 (tptp.addition (tptp.multiplication @t3 @t24) tptp.one)))) % 33.63/34.01 (assume @p19 @t26) % 33.63/34.01 (assume @p20 (forall @t12 (= @t24 (tptp.addition @t21 (tptp.multiplication @t24 tptp.zero))))) % 33.63/34.01 (assume @p21 (forall @t10 (= (tptp.ifeq2 @t27 tptp.true @t9 @t1) @t1))) % 33.63/34.01 (assume @p22 @t29) % 33.63/34.01 (assume @p23 (not (= @t34 tptp.true))) % 33.63/34.01 (step @p24 :rule eq-symm :args (@t7 @t1)) % 33.63/34.01 (step @p25 :rule cong :premises (@p24) :args (@t8)) % 33.63/34.01 (step @p26 :rule eq_resolve :premises (@p3 @p25)) % 33.63/34.01 (step @p27 :rule bool-eq-false :args (@t39)) % 33.63/34.01 (step @p28 :rule symm :premises (@p27)) % 33.63/34.01 (step @p29 :rule eq-symm :args (@t38 @t34)) % 33.63/34.01 (step @p30 :rule cong :premises (@p29) :args ((not @t40))) % 33.63/34.01 (step @p31 :rule bool-eq-false :args (@t40)) % 33.63/34.01 (step @p32 :rule trans :premises (@p31 @p30)) % 33.63/34.01 (step @p33 :rule trans :premises (@p32 @p28)) % 33.63/34.01 (step @p34 :rule symm :premises (@p23)) % 33.63/34.01 (step @p35 :rule false_intro :premises (@p34)) % 33.63/34.01 (step @p36 :rule refl :args (@t34)) % 33.63/34.01 (step @p37 :rule eq-symm :args (@t25 tptp.true)) % 33.63/34.01 (step @p38 :rule cong :premises (@p37) :args (@t26)) % 33.63/34.01 (step @p39 :rule eq_resolve :premises (@p19 @p38)) % 33.63/34.01 (step @p40 :rule instantiate :premises (@p39) :args ((@list @t33 @t30 tptp.sK2_goals_X0))) % 33.63/34.01 (step @p41 :rule symm :premises (@p40)) % 33.63/34.01 (step @p42 :rule refl :args (tptp.true)) % 33.63/34.01 (step @p43 :rule eq-symm :args (@t28 tptp.true)) % 33.63/34.01 (step @p44 :rule cong :premises (@p43) :args (@t29)) % 33.63/34.01 (step @p45 :rule eq_resolve :premises (@p22 @p44)) % 33.63/34.01 (step @p46 :rule instantiate :premises (@p45) :args ((@list @t33 @t36))) % 33.63/34.01 (step @p47 :rule symm :premises (@p46)) % 33.63/34.01 (step @p48 :rule refl :args (@t37)) % 33.63/34.01 (step @p49 :rule refl :args (@t36)) % 33.63/34.01 (step @p50 :rule instantiate :premises (@p20) :args (@t41)) % 33.63/34.01 (step @p51 :rule symm :premises (@p50)) % 33.63/34.01 (step @p52 :rule refl :args (tptp.sK2_goals_X0)) % 33.63/34.01 (step @p53 :rule cong :premises (@p52 @p51) :args ((tptp.multiplication tptp.sK2_goals_X0 (tptp.addition @t43 @t42)))) % 33.63/34.01 (step @p54 :rule instantiate :premises (@p11) :args ((@list tptp.sK2_goals_X0 @t43 @t42))) % 33.63/34.01 (step @p55 :rule symm :premises (@p54)) % 33.63/34.01 (step @p56 :rule trans :premises (@p55 @p53)) % 33.63/34.01 (step @p57 :rule cong :premises (@p56 @p49) :args ((tptp.addition (tptp.addition (tptp.multiplication tptp.sK2_goals_X0 @t43) (tptp.multiplication tptp.sK2_goals_X0 @t42)) @t36))) % 33.63/34.01 (step @p58 :rule instantiate :premises (@p4) :args ((@list @t35 tptp.sK2_goals_X0))) % 33.63/34.01 (step @p59 :rule symm :premises (@p58)) % 33.63/34.01 (step @p60 :rule instantiate :premises (@p8) :args ((@list tptp.sK2_goals_X0 tptp.sK1_goals_X1 @t33))) % 33.63/34.01 (step @p61 :rule eq-symm :args (@t44 @t45)) % 33.63/34.01 (step @p62 :rule refl :args (@t17)) % 33.63/34.01 (step @p63 :rule cong :premises (@p62 @p61) :args ((=> @t17 @t46))) % 33.63/34.01 (assume-push @p122 @t17) % 33.63/34.01 (step @p65 :rule instantiate :premises (@p8) :args ((@list tptp.sK1_goals_X1 tptp.sK2_goals_X0 @t32))) % 33.63/34.01 (step-pop @p123 :rule scope :premises (@p65)) % 33.63/34.01 (step @p66 :rule process_scope :premises (@p123) :args (@t46)) % 33.63/34.01 (step @p68 :rule eq_resolve :premises (@p66 @p63)) % 33.63/34.01 (step @p69 :rule implies_elim :premises (@p68)) % 33.63/34.01 (step @p70 :rule chain_m_resolution :premises (@p69 @p8) :args ((= @t45 @t44) (@list false) (@list @t17))) % 33.63/34.01 (step @p71 :rule cong :premises (@p52 @p70) :args (@t47)) % 33.63/34.01 (step @p72 :rule trans :premises (@p71 @p60)) % 33.63/34.01 (step @p73 :rule eq-symm :args (@t18 @t3)) % 33.63/34.01 (step @p74 :rule cong :premises (@p73) :args (@t19)) % 33.63/34.01 (step @p75 :rule eq_resolve :premises (@p9 @p74)) % 33.63/34.01 (step @p76 :rule instantiate :premises (@p75) :args ((@list tptp.sK2_goals_X0))) % 33.63/34.01 (step @p77 :rule symm :premises (@p76)) % 33.63/34.01 (step @p78 :rule cong :premises (@p77 @p72) :args ((tptp.addition (tptp.multiplication tptp.sK2_goals_X0 tptp.one) @t47))) % 33.63/34.01 (step @p79 :rule instantiate :premises (@p11) :args ((@list tptp.sK2_goals_X0 tptp.one @t45))) % 33.63/34.01 (step @p80 :rule instantiate :premises (@p4) :args ((@list @t45 tptp.one))) % 33.63/34.01 (step @p81 :rule instantiate :premises (@p18) :args (@t41)) % 33.63/34.01 (step @p82 :rule trans :premises (@p81 @p80)) % 33.63/34.01 (step @p83 :rule cong :premises (@p52 @p82) :args (@t33)) % 33.63/34.01 (step @p84 :rule trans :premises (@p83 @p79 @p78 @p59)) % 33.63/34.01 (step @p85 :rule symm :premises (@p56)) % 33.63/34.01 (step @p86 :rule symm :premises (@p81)) % 33.63/34.01 (step @p87 :rule cong :premises (@p52 @p86) :args (@t49)) % 33.63/34.01 (step @p88 :rule trans :premises (@p87 @p85)) % 33.63/34.01 (step @p89 :rule cong :premises (@p88 @p84) :args ((tptp.addition @t49 @t33))) % 33.63/34.01 (step @p90 :rule instantiate :premises (@p11) :args ((@list tptp.sK2_goals_X0 @t48 @t32))) % 33.63/34.01 (step @p91 :rule refl :args (@t48)) % 33.63/34.01 (step @p92 :rule cong :premises (@p91 @p86) :args ((tptp.addition @t48 @t48))) % 33.63/34.01 (step @p93 :rule eq-symm :args (@t13 @t3)) % 33.63/34.01 (step @p94 :rule cong :premises (@p93) :args (@t14)) % 33.63/34.01 (step @p95 :rule eq_resolve :premises (@p7 @p94)) % 33.63/34.01 (step @p96 :rule instantiate :premises (@p95) :args ((@list @t48))) % 33.63/34.01 (step @p97 :rule trans :premises (@p81 @p96 @p92)) % 33.63/34.01 (step @p98 :rule cong :premises (@p52 @p97) :args (@t33)) % 33.63/34.01 (step @p99 :rule trans :premises (@p98 @p90 @p89 @p57)) % 33.63/34.01 (step @p100 :rule symm :premises (@p84)) % 33.63/34.01 (step @p101 :rule trans :premises (@p100 @p99)) % 33.63/34.01 (step @p102 :rule refl :args (@t50)) % 33.63/34.01 (step @p103 :rule cong :premises (@p102 @p101 @p48 @p42) :args ((tptp.ifeq3 @t50 @t36 @t37 tptp.true))) % 33.63/34.01 (step @p104 :rule symm :premises (@p103)) % 33.63/34.01 (step @p105 :rule eq-symm :args (@t4 @t1)) % 33.63/34.01 (step @p106 :rule cong :premises (@p105) :args (@t6)) % 33.63/34.01 (step @p107 :rule eq_resolve :premises (@p1 @p106)) % 33.63/34.01 (step @p108 :rule instantiate :premises (@p107) :args ((@list @t50 @t37 tptp.true))) % 33.63/34.01 (step @p109 :rule trans :premises (@p108 @p104 @p47)) % 33.63/34.01 (step @p110 :rule cong :premises (@p48 @p109 @p36 @p42) :args (@t38)) % 33.63/34.01 (step @p111 :rule trans :premises (@p110 @p41)) % 33.63/34.01 (step @p112 :rule cong :premises (@p111 @p36) :args (@t40)) % 33.63/34.01 (step @p113 :rule trans :premises (@p112 @p35)) % 33.63/34.01 (step @p114 :rule eq_resolve :premises (@p113 @p33)) % 33.63/34.01 (step @p115 :rule false_elim :premises (@p114)) % 33.63/34.01 (assume-push @p124 @t51) % 33.63/34.01 (step @p117 :rule instantiate :premises (@p26) :args ((@list @t37 @t34 tptp.true))) % 33.63/34.01 (step-pop @p125 :rule scope :premises (@p117)) % 33.63/34.01 (step @p118 :rule process_scope :premises (@p125) :args (@t39)) % 33.63/34.01 (step @p120 :rule implies_elim :premises (@p118)) % 33.63/34.01 (step @p121 false :rule chain_m_resolution :premises (@p120 @p115 @p26) :args (false (@list true false) (@list @t39 @t51))) % 33.63/34.01 ) % 33.63/34.01 % SZS output end Proof % 33.63/34.01 % cvc5 exiting %------------------------------------------------------------------------------