%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE169-10 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:28:26 AM UTC 2026 % Result : Unsatisfiable 33.97s 34.24s % Output : Proof 33.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE169-10 : TPTP v9.2.1. Released v7.5.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n020.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 05:23:25 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/15.71 --- Run --no-e-matching --full-saturate-quant at 6... % 21.52/21.73 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.52/27.78 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.58/33.87 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.97/34.24 % SZS status Unsatisfiable % 33.97/34.24 % SZS output start Proof % 33.97/34.25 ( % 33.97/34.25 (declare-sort $$unsorted 0) % 33.97/34.25 (declare-const tptp.b $$unsorted) % 33.97/34.25 (declare-const tptp.leq (-> $$unsorted $$unsorted $$unsorted)) % 33.97/34.25 (declare-const tptp.true $$unsorted) % 33.97/34.25 (declare-const tptp.a $$unsorted) % 33.97/34.25 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 33.97/34.25 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 33.97/34.25 (declare-const tptp.zero $$unsorted) % 33.97/34.25 (declare-const tptp.one $$unsorted) % 33.97/34.25 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 33.97/34.25 (declare-const tptp.sigma $$unsorted) % 33.97/34.25 (declare-const tptp.ifeq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.97/34.25 (declare-const tptp.ifeq2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.97/34.25 (declare-const tptp.ifeq3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.97/34.25 (define @t1 () (@var "B" $$unsorted)) % 33.97/34.25 (define @t2 () (@var "C" $$unsorted)) % 33.97/34.25 (define @t3 () (@var "A" $$unsorted)) % 33.97/34.25 (define @t4 () (tptp.ifeq3 @t3 @t3 @t1 @t2)) % 33.97/34.25 (define @t5 () (@list @t3 @t1 @t2)) % 33.97/34.25 (define @t6 () (forall @t5 (= @t4 @t1))) % 33.97/34.25 (define @t7 () (tptp.ifeq2 @t3 @t3 @t1 @t2)) % 33.97/34.25 (define @t8 () (forall @t5 (= @t7 @t1))) % 33.97/34.25 (define @t9 () (tptp.addition @t3 @t1)) % 33.97/34.25 (define @t10 () (@list @t3 @t1)) % 33.97/34.25 (define @t11 () (tptp.addition @t1 @t2)) % 33.97/34.25 (define @t12 () (@list @t3)) % 33.97/34.25 (define @t13 () (tptp.addition @t3 @t3)) % 33.97/34.25 (define @t14 () (forall @t12 (= @t13 @t3))) % 33.97/34.25 (define @t15 () (tptp.multiplication @t3 @t1)) % 33.97/34.25 (define @t16 () (tptp.multiplication @t1 @t2)) % 33.97/34.25 (define @t17 () (forall @t5 (= (tptp.multiplication @t3 @t16) (tptp.multiplication @t15 @t2)))) % 33.97/34.25 (define @t18 () (tptp.multiplication tptp.one @t3)) % 33.97/34.25 (define @t19 () (forall @t12 (= @t18 @t3))) % 33.97/34.25 (define @t20 () (tptp.multiplication @t3 @t2)) % 33.97/34.25 (define @t21 () (tptp.leq @t3 @t1)) % 33.97/34.25 (define @t22 () (tptp.ifeq2 @t21 tptp.true @t9 @t1)) % 33.97/34.25 (define @t23 () (forall @t10 (= @t22 @t1))) % 33.97/34.25 (define @t24 () (tptp.ifeq3 @t9 @t1 @t21 tptp.true)) % 33.97/34.25 (define @t25 () (forall @t10 (= @t24 tptp.true))) % 33.97/34.25 (define @t26 () (tptp.star @t3)) % 33.97/34.25 (define @t27 () (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t26 @t3)) @t26)) % 33.97/34.25 (define @t28 () (forall @t12 (= @t27 tptp.true))) % 33.97/34.25 (define @t29 () (tptp.addition @t15 @t2)) % 33.97/34.25 (define @t30 () (tptp.addition tptp.a tptp.b)) % 33.97/34.25 (define @t31 () (tptp.multiplication tptp.sigma tptp.a)) % 33.97/34.25 (define @t32 () (tptp.multiplication tptp.a @t31)) % 33.97/34.25 (define @t33 () (tptp.star tptp.sigma)) % 33.97/34.25 (define @t34 () (tptp.multiplication @t33 @t32)) % 33.97/34.25 (define @t35 () (tptp.multiplication tptp.b tptp.a)) % 33.97/34.25 (define @t36 () (tptp.multiplication tptp.a @t35)) % 33.97/34.25 (define @t37 () (tptp.leq @t36 @t34)) % 33.97/34.25 (define @t38 () (not (= @t37 tptp.true))) % 33.97/34.25 (define @t39 () (tptp.multiplication @t30 tptp.a)) % 33.97/34.25 (define @t40 () (tptp.star @t30)) % 33.97/34.25 (define @t41 () (tptp.multiplication @t40 (tptp.multiplication tptp.a @t39))) % 33.97/34.25 (define @t42 () (tptp.leq @t36 @t41)) % 33.97/34.25 (define @t43 () (tptp.addition @t36 @t41)) % 33.97/34.25 (define @t44 () (tptp.ifeq3 @t43 @t43 @t42 tptp.true)) % 33.97/34.25 (define @t45 () (= @t42 @t44)) % 33.97/34.25 (define @t46 () (= @t44 @t42)) % 33.97/34.25 (define @t47 () (= tptp.true @t37)) % 33.97/34.25 (define @t48 () (@list @t36 @t41)) % 33.97/34.25 (define @t49 () (@list tptp.a tptp.b tptp.a)) % 33.97/34.25 (define @t50 () (tptp.multiplication @t40 tptp.a)) % 33.97/34.25 (define @t51 () (tptp.multiplication tptp.a tptp.a)) % 33.97/34.25 (define @t52 () (tptp.multiplication @t50 @t35)) % 33.97/34.25 (define @t53 () (tptp.multiplication @t40 @t30)) % 33.97/34.25 (define @t54 () (tptp.addition tptp.one @t53)) % 33.97/34.25 (define @t55 () (tptp.addition @t54 @t40)) % 33.97/34.25 (define @t56 () (tptp.leq @t54 @t40)) % 33.97/34.25 (define @t57 () (tptp.addition @t53 @t40)) % 33.97/34.25 (define @t58 () (tptp.multiplication @t57 @t36)) % 33.97/34.25 (define @t59 () (tptp.multiplication tptp.one @t36)) % 33.97/34.25 (define @t60 () (tptp.addition @t59 @t58)) % 33.97/34.25 (define @t61 () (tptp.multiplication (tptp.multiplication tptp.a tptp.b) tptp.a)) % 33.97/34.25 (define @t62 () (tptp.multiplication @t40 @t36)) % 33.97/34.25 (define @t63 () (= @t62 @t52)) % 33.97/34.25 (define @t64 () (tptp.multiplication @t50 @t51)) % 33.97/34.25 (define @t65 () (tptp.addition @t64 @t52)) % 33.97/34.25 (define @t66 () (forall @t5 (= @t1 @t4))) % 33.97/34.25 (assume @p1 @t6) % 33.97/34.25 (assume @p2 @t8) % 33.97/34.25 (assume @p3 (forall @t5 (= (tptp.ifeq @t3 @t3 @t1 @t2) @t1))) % 33.97/34.25 (assume @p4 (forall @t10 (= @t9 (tptp.addition @t1 @t3)))) % 33.97/34.25 (assume @p5 (forall @t5 (= (tptp.addition @t3 @t11) (tptp.addition @t9 @t2)))) % 33.97/34.25 (assume @p6 (forall @t12 (= (tptp.addition @t3 tptp.zero) @t3))) % 33.97/34.25 (assume @p7 @t14) % 33.97/34.25 (assume @p8 @t17) % 33.97/34.25 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 tptp.one) @t3))) % 33.97/34.25 (assume @p10 @t19) % 33.97/34.25 (assume @p11 (forall @t5 (= (tptp.multiplication @t3 @t11) (tptp.addition @t15 @t20)))) % 33.97/34.25 (assume @p12 (forall @t5 (= (tptp.multiplication @t9 @t2) (tptp.addition @t20 @t16)))) % 33.97/34.25 (assume @p13 (forall @t12 (= (tptp.multiplication @t3 tptp.zero) tptp.zero))) % 33.97/34.25 (assume @p14 (forall @t12 (= (tptp.multiplication tptp.zero @t3) tptp.zero))) % 33.97/34.25 (assume @p15 @t23) % 33.97/34.25 (assume @p16 @t25) % 33.97/34.25 (assume @p17 (forall @t12 (= (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t3 @t26)) @t26) tptp.true))) % 33.97/34.25 (assume @p18 @t28) % 33.97/34.25 (assume @p19 (forall @t5 (= (tptp.ifeq (tptp.leq @t29 @t1) tptp.true (tptp.leq (tptp.multiplication @t26 @t2) @t1) tptp.true) tptp.true))) % 33.97/34.25 (assume @p20 (forall @t5 (= (tptp.ifeq (tptp.leq @t29 @t3) tptp.true (tptp.leq (tptp.multiplication @t2 (tptp.star @t1)) @t3) tptp.true) tptp.true))) % 33.97/34.25 (assume @p21 (= tptp.sigma @t30)) % 33.97/34.25 (assume @p22 @t38) % 33.97/34.25 (step @p23 :rule eq-symm :args (@t4 @t1)) % 33.97/34.25 (step @p24 :rule cong :premises (@p23) :args (@t6)) % 33.97/34.25 (step @p25 :rule eq_resolve :premises (@p1 @p24)) % 33.97/34.25 (step @p26 :rule bool-eq-false :args (@t45)) % 33.97/34.25 (step @p27 :rule symm :premises (@p26)) % 33.97/34.25 (step @p28 :rule eq-symm :args (@t44 @t42)) % 33.97/34.25 (step @p29 :rule cong :premises (@p28) :args ((not @t46))) % 33.97/34.25 (step @p30 :rule bool-eq-false :args (@t46)) % 33.97/34.25 (step @p31 :rule trans :premises (@p30 @p29)) % 33.97/34.25 (step @p32 :rule trans :premises (@p31 @p27)) % 33.97/34.25 (step @p33 :rule refl :args (tptp.a)) % 33.97/34.25 (step @p34 :rule cong :premises (@p21 @p33) :args (@t31)) % 33.97/34.25 (step @p35 :rule cong :premises (@p33 @p34) :args (@t32)) % 33.97/34.25 (step @p36 :rule cong :premises (@p21) :args (@t33)) % 33.97/34.25 (step @p37 :rule cong :premises (@p36 @p35) :args (@t34)) % 33.97/34.25 (step @p38 :rule refl :args (@t36)) % 33.97/34.25 (step @p39 :rule cong :premises (@p38 @p37) :args (@t37)) % 33.97/34.25 (step @p40 :rule refl :args (tptp.true)) % 33.97/34.25 (step @p41 :rule cong :premises (@p40 @p39) :args (@t47)) % 33.97/34.25 (step @p42 :rule cong :premises (@p41) :args ((not @t47))) % 33.97/34.25 (step @p43 :rule eq-symm :args (@t37 tptp.true)) % 33.97/34.25 (step @p44 :rule cong :premises (@p43) :args (@t38)) % 33.97/34.25 (step @p45 :rule trans :premises (@p44 @p42)) % 33.97/34.25 (step @p46 :rule eq_resolve :premises (@p22 @p45)) % 33.97/34.25 (step @p47 :rule false_intro :premises (@p46)) % 33.97/34.25 (step @p48 :rule refl :args (@t42)) % 33.97/34.25 (step @p49 :rule eq-symm :args (@t24 tptp.true)) % 33.97/34.25 (step @p50 :rule cong :premises (@p49) :args (@t25)) % 33.97/34.25 (step @p51 :rule eq_resolve :premises (@p16 @p50)) % 33.97/34.25 (step @p52 :rule instantiate :premises (@p51) :args (@t48)) % 33.97/34.25 (step @p53 :rule symm :premises (@p52)) % 33.97/34.25 (step @p54 :rule instantiate :premises (@p8) :args ((@list @t40 tptp.a @t39))) % 33.97/34.25 (step @p55 :rule symm :premises (@p54)) % 33.97/34.25 (step @p56 :rule instantiate :premises (@p12) :args (@t49)) % 33.97/34.25 (step @p57 :rule symm :premises (@p56)) % 33.97/34.25 (step @p58 :rule refl :args (@t50)) % 33.97/34.25 (step @p59 :rule cong :premises (@p58 @p57) :args ((tptp.multiplication @t50 (tptp.addition @t51 @t35)))) % 33.97/34.25 (step @p60 :rule instantiate :premises (@p11) :args ((@list @t50 @t51 @t35))) % 33.97/34.25 (step @p61 :rule symm :premises (@p60)) % 33.97/34.25 (step @p62 :rule instantiate :premises (@p4) :args ((@list @t52 @t36))) % 33.97/34.25 (step @p63 :rule symm :premises (@p62)) % 33.97/34.25 (step @p64 :rule instantiate :premises (@p8) :args ((@list @t40 tptp.a @t35))) % 33.97/34.25 (step @p65 :rule eq-symm :args (@t22 @t1)) % 33.97/34.25 (step @p66 :rule cong :premises (@p65) :args (@t23)) % 33.97/34.25 (step @p67 :rule eq_resolve :premises (@p15 @p66)) % 33.97/34.25 (step @p68 :rule instantiate :premises (@p67) :args ((@list @t54 @t40))) % 33.97/34.25 (step @p69 :rule symm :premises (@p68)) % 33.97/34.25 (step @p70 :rule refl :args (@t40)) % 33.97/34.25 (step @p71 :rule refl :args (@t55)) % 33.97/34.25 (step @p72 :rule eq-symm :args (@t27 tptp.true)) % 33.97/34.25 (step @p73 :rule cong :premises (@p72) :args (@t28)) % 33.97/34.25 (step @p74 :rule eq_resolve :premises (@p18 @p73)) % 33.97/34.25 (step @p75 :rule instantiate :premises (@p74) :args ((@list @t30))) % 33.97/34.25 (step @p76 :rule symm :premises (@p75)) % 33.97/34.25 (step @p77 :rule refl :args (@t56)) % 33.97/34.25 (step @p78 :rule cong :premises (@p77 @p76 @p71 @p70) :args ((tptp.ifeq2 @t56 @t56 @t55 @t40))) % 33.97/34.25 (step @p79 :rule eq-symm :args (@t7 @t1)) % 33.97/34.25 (step @p80 :rule cong :premises (@p79) :args (@t8)) % 33.97/34.25 (step @p81 :rule eq_resolve :premises (@p2 @p80)) % 33.97/34.25 (step @p82 :rule instantiate :premises (@p81) :args ((@list @t56 @t55 @t40))) % 33.97/34.25 (step @p83 :rule instantiate :premises (@p5) :args ((@list tptp.one @t53 @t40))) % 33.97/34.25 (step @p84 :rule trans :premises (@p83 @p82 @p78 @p69)) % 33.97/34.25 (step @p85 :rule cong :premises (@p84 @p38) :args ((tptp.multiplication (tptp.addition tptp.one @t57) @t36))) % 33.97/34.25 (step @p86 :rule instantiate :premises (@p12) :args ((@list tptp.one @t57 @t36))) % 33.97/34.25 (step @p87 :rule symm :premises (@p86)) % 33.97/34.25 (step @p88 :rule trans :premises (@p87 @p85 @p64)) % 33.97/34.25 (step @p89 :rule cong :premises (@p38 @p88) :args ((tptp.addition @t36 @t60))) % 33.97/34.25 (step @p90 :rule instantiate :premises (@p5) :args ((@list @t36 @t59 @t58))) % 33.97/34.25 (step @p91 :rule symm :premises (@p90)) % 33.97/34.25 (step @p92 :rule refl :args (@t58)) % 33.97/34.25 (step @p93 :rule eq-symm :args (@t18 @t3)) % 33.97/34.25 (step @p94 :rule cong :premises (@p93) :args (@t19)) % 33.97/34.25 (step @p95 :rule eq_resolve :premises (@p10 @p94)) % 33.97/34.25 (step @p96 :rule instantiate :premises (@p95) :args ((@list @t36))) % 33.97/34.25 (step @p97 :rule instantiate :premises (@p8) :args (@t49)) % 33.97/34.25 (step @p98 :rule symm :premises (@p97)) % 33.97/34.25 (step @p99 :rule cong :premises (@p98 @p96) :args ((tptp.addition @t61 @t36))) % 33.97/34.25 (step @p100 :rule refl :args (@t61)) % 33.97/34.25 (step @p101 :rule cong :premises (@p100 @p98) :args ((tptp.addition @t61 @t61))) % 33.97/34.25 (step @p102 :rule eq-symm :args (@t13 @t3)) % 33.97/34.25 (step @p103 :rule cong :premises (@p102) :args (@t14)) % 33.97/34.25 (step @p104 :rule eq_resolve :premises (@p7 @p103)) % 33.97/34.25 (step @p105 :rule instantiate :premises (@p104) :args ((@list @t61))) % 33.97/34.25 (step @p106 :rule trans :premises (@p97 @p105 @p101 @p99)) % 33.97/34.25 (step @p107 :rule symm :premises (@p96)) % 33.97/34.25 (step @p108 :rule trans :premises (@p107 @p106)) % 33.97/34.25 (step @p109 :rule cong :premises (@p108 @p92) :args (@t60)) % 33.97/34.25 (step @p110 :rule symm :premises (@p85)) % 33.97/34.25 (step @p111 :rule eq-symm :args (@t62 @t52)) % 33.97/34.25 (step @p112 :rule refl :args (@t17)) % 33.97/34.25 (step @p113 :rule cong :premises (@p112 @p111) :args ((=> @t17 @t63))) % 33.97/34.25 (assume-push @p144 @t17) % 33.97/34.25 (step-pop @p145 :rule scope :premises (@p64)) % 33.97/34.25 (step @p115 :rule process_scope :premises (@p145) :args (@t63)) % 33.97/34.25 (step @p117 :rule eq_resolve :premises (@p115 @p113)) % 33.97/34.25 (step @p118 :rule implies_elim :premises (@p117)) % 33.97/34.25 (step @p119 :rule chain_m_resolution :premises (@p118 @p8) :args ((= @t52 @t62) (@list false) (@list @t17))) % 33.97/34.25 (step @p120 :rule trans :premises (@p119 @p110 @p86 @p109 @p91 @p89 @p63)) % 33.97/34.25 (step @p121 :rule refl :args (@t64)) % 33.97/34.25 (step @p122 :rule cong :premises (@p121 @p120) :args (@t65)) % 33.97/34.25 (step @p123 :rule symm :premises (@p122)) % 33.97/34.25 (step @p124 :rule instantiate :premises (@p5) :args ((@list @t64 @t52 @t36))) % 33.97/34.25 (step @p125 :rule symm :premises (@p124)) % 33.97/34.25 (step @p126 :rule trans :premises (@p61 @p59 @p55)) % 33.97/34.25 (step @p127 :rule cong :premises (@p126 @p38) :args ((tptp.addition @t65 @t36))) % 33.97/34.25 (step @p128 :rule symm :premises (@p127)) % 33.97/34.25 (step @p129 :rule instantiate :premises (@p4) :args (@t48)) % 33.97/34.25 (step @p130 :rule trans :premises (@p129 @p128 @p125 @p123 @p61 @p59 @p55)) % 33.97/34.25 (step @p131 :rule refl :args (@t43)) % 33.97/34.25 (step @p132 :rule cong :premises (@p131 @p130 @p48 @p40) :args (@t44)) % 33.97/34.25 (step @p133 :rule trans :premises (@p132 @p53)) % 33.97/34.25 (step @p134 :rule cong :premises (@p133 @p48) :args (@t46)) % 33.97/34.25 (step @p135 :rule trans :premises (@p134 @p47)) % 33.97/34.25 (step @p136 :rule eq_resolve :premises (@p135 @p32)) % 33.97/34.25 (step @p137 :rule false_elim :premises (@p136)) % 33.97/34.25 (assume-push @p146 @t66) % 33.97/34.25 (step @p139 :rule instantiate :premises (@p25) :args ((@list @t43 @t42 tptp.true))) % 33.97/34.25 (step-pop @p147 :rule scope :premises (@p139)) % 33.97/34.25 (step @p140 :rule process_scope :premises (@p147) :args (@t45)) % 33.97/34.25 (step @p142 :rule implies_elim :premises (@p140)) % 33.97/34.25 (step @p143 false :rule chain_m_resolution :premises (@p142 @p137 @p25) :args (false (@list true false) (@list @t45 @t66))) % 33.97/34.25 ) % 33.97/34.25 % SZS output end Proof % 33.97/34.25 % cvc5 exiting %------------------------------------------------------------------------------