%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG128-1 : TPTP v9.2.1. Released v5.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:45:46 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.62s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG128-1 : TPTP v9.2.1. Released v5.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n025.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 14:09:31 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.62 % SZS status Unsatisfiable % 0.39/0.62 % SZS output start Proof % 0.39/0.63 ( % 0.39/0.63 (declare-sort $$unsorted 0) % 0.39/0.63 (declare-const tptp.x0 $$unsorted) % 0.39/0.63 (declare-const tptp.x1 $$unsorted) % 0.39/0.63 (declare-const tptp.unit $$unsorted) % 0.39/0.63 (declare-const tptp.zero $$unsorted) % 0.39/0.63 (declare-const tptp.mult (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.63 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.63 (define @t1 () (@var "C" $$unsorted)) % 0.39/0.63 (define @t2 () (@var "B" $$unsorted)) % 0.39/0.63 (define @t3 () (@var "A" $$unsorted)) % 0.39/0.63 (define @t4 () (tptp.add @t3 @t2)) % 0.39/0.63 (define @t5 () (tptp.add @t2 @t1)) % 0.39/0.63 (define @t6 () (@list @t3 @t2 @t1)) % 0.39/0.63 (define @t7 () (forall @t6 (= (tptp.add @t3 @t5) (tptp.add @t4 @t1)))) % 0.39/0.63 (define @t8 () (@list @t3 @t2)) % 0.39/0.63 (define @t9 () (tptp.mult @t3 @t2)) % 0.39/0.63 (define @t10 () (tptp.add tptp.zero @t3)) % 0.39/0.63 (define @t11 () (@list @t3)) % 0.39/0.63 (define @t12 () (forall @t11 (= @t10 @t3))) % 0.39/0.63 (define @t13 () (tptp.mult @t3 tptp.unit)) % 0.39/0.63 (define @t14 () (forall @t11 (= @t13 @t3))) % 0.39/0.63 (define @t15 () (tptp.add tptp.unit (tptp.add @t3 (tptp.mult @t3 @t3)))) % 0.39/0.63 (define @t16 () (forall @t11 (= @t15 @t3))) % 0.39/0.63 (define @t17 () (tptp.mult tptp.x0 tptp.x1)) % 0.47/0.63 (define @t18 () (tptp.add tptp.x0 tptp.x1)) % 0.47/0.63 (define @t19 () (tptp.mult @t18 tptp.x1)) % 0.47/0.63 (define @t20 () (tptp.mult @t18 tptp.x0)) % 0.47/0.63 (define @t21 () (tptp.add @t17 @t20)) % 0.47/0.63 (define @t22 () (tptp.add @t21 @t19)) % 0.47/0.63 (define @t23 () (tptp.add @t17 (tptp.add @t20 @t19))) % 0.47/0.63 (define @t24 () (= @t23 @t22)) % 0.47/0.63 (define @t25 () (= @t22 @t23)) % 0.47/0.63 (define @t26 () (@list tptp.x0 tptp.x1)) % 0.47/0.63 (define @t27 () (@list tptp.x0 tptp.zero)) % 0.47/0.63 (define @t28 () (@list tptp.x0)) % 0.47/0.63 (define @t29 () (tptp.add tptp.x0 tptp.zero)) % 0.47/0.63 (define @t30 () (@list tptp.x1 tptp.x0 tptp.zero)) % 0.47/0.63 (define @t31 () (tptp.mult tptp.x1 tptp.zero)) % 0.47/0.63 (define @t32 () (tptp.mult tptp.x1 tptp.x0)) % 0.47/0.63 (define @t33 () (@list tptp.zero)) % 0.47/0.63 (define @t34 () (@list tptp.x1)) % 0.47/0.63 (define @t35 () (tptp.mult tptp.x0 tptp.zero)) % 0.47/0.63 (define @t36 () (tptp.add @t17 @t35)) % 0.47/0.63 (define @t37 () (tptp.add tptp.zero tptp.zero)) % 0.47/0.63 (define @t38 () (tptp.mult tptp.zero tptp.zero)) % 0.47/0.63 (define @t39 () (tptp.add tptp.zero @t38)) % 0.47/0.63 (define @t40 () (tptp.add tptp.unit (tptp.add @t39 @t38))) % 0.47/0.63 (define @t41 () (tptp.mult @t18 @t18)) % 0.47/0.63 (define @t42 () (tptp.add tptp.x1 tptp.x0)) % 0.47/0.63 (define @t43 () (tptp.add tptp.zero @t42)) % 0.47/0.63 (define @t44 () (tptp.mult tptp.x0 tptp.x0)) % 0.47/0.63 (define @t45 () (tptp.add tptp.unit tptp.x0)) % 0.47/0.63 (define @t46 () (tptp.add tptp.x0 tptp.x0)) % 0.47/0.63 (assume @p1 @t7) % 0.47/0.63 (assume @p2 (forall @t8 (= @t4 (tptp.add @t2 @t3)))) % 0.47/0.63 (assume @p3 (forall @t8 (= @t9 (tptp.mult @t2 @t3)))) % 0.47/0.63 (assume @p4 (forall @t6 (= (tptp.mult @t3 @t5) (tptp.add @t9 (tptp.mult @t3 @t1))))) % 0.47/0.63 (assume @p5 @t12) % 0.47/0.63 (assume @p6 @t14) % 0.47/0.63 (assume @p7 @t16) % 0.47/0.63 (assume @p8 (not (= @t18 @t17))) % 0.47/0.63 (step @p9 :rule bool-eq-false :args (@t24)) % 0.47/0.63 (step @p10 :rule symm :premises (@p9)) % 0.47/0.63 (step @p11 :rule eq-symm :args (@t22 @t23)) % 0.47/0.63 (step @p12 :rule cong :premises (@p11) :args ((not @t25))) % 0.47/0.63 (step @p13 :rule bool-eq-false :args (@t25)) % 0.47/0.63 (step @p14 :rule trans :premises (@p13 @p12)) % 0.47/0.63 (step @p15 :rule trans :premises (@p14 @p10)) % 0.47/0.63 (step @p16 :rule false_intro :premises (@p8)) % 0.47/0.63 (step @p17 :rule instantiate :premises (@p3) :args (@t26)) % 0.47/0.63 (step @p18 :rule symm :premises (@p17)) % 0.47/0.63 (step @p19 :rule instantiate :premises (@p2) :args (@t27)) % 0.47/0.63 (step @p20 :rule symm :premises (@p19)) % 0.47/0.63 (step @p21 :rule eq-symm :args (@t10 @t3)) % 0.47/0.63 (step @p22 :rule cong :premises (@p21) :args (@t12)) % 0.47/0.63 (step @p23 :rule eq_resolve :premises (@p5 @p22)) % 0.47/0.63 (step @p24 :rule instantiate :premises (@p23) :args (@t28)) % 0.47/0.63 (step @p25 :rule trans :premises (@p24 @p20)) % 0.47/0.63 (step @p26 :rule symm :premises (@p25)) % 0.47/0.63 (step @p27 :rule refl :args (tptp.x1)) % 0.47/0.63 (step @p28 :rule cong :premises (@p27 @p26) :args ((tptp.mult tptp.x1 @t29))) % 0.47/0.63 (step @p29 :rule instantiate :premises (@p4) :args (@t30)) % 0.47/0.63 (step @p30 :rule symm :premises (@p29)) % 0.47/0.63 (step @p31 :rule refl :args (@t31)) % 0.47/0.63 (step @p32 :rule trans :premises (@p30 @p28)) % 0.47/0.63 (step @p33 :rule cong :premises (@p32 @p31) :args ((tptp.add (tptp.add @t32 @t31) @t31))) % 0.47/0.63 (step @p34 :rule instantiate :premises (@p1) :args ((@list @t32 @t31 @t31))) % 0.47/0.63 (step @p35 :rule instantiate :premises (@p4) :args ((@list tptp.x1 tptp.zero tptp.zero))) % 0.47/0.63 (step @p36 :rule instantiate :premises (@p23) :args (@t33)) % 0.47/0.63 (step @p37 :rule cong :premises (@p27 @p36) :args (@t31)) % 0.47/0.63 (step @p38 :rule trans :premises (@p37 @p35)) % 0.47/0.63 (step @p39 :rule instantiate :premises (@p2) :args ((@list tptp.zero tptp.x1))) % 0.47/0.63 (step @p40 :rule instantiate :premises (@p23) :args (@t34)) % 0.47/0.63 (step @p41 :rule trans :premises (@p40 @p39)) % 0.47/0.63 (step @p42 :rule refl :args (tptp.x0)) % 0.47/0.63 (step @p43 :rule cong :premises (@p42 @p41) :args (@t17)) % 0.47/0.63 (step @p44 :rule symm :premises (@p43)) % 0.47/0.63 (step @p45 :rule instantiate :premises (@p4) :args ((@list tptp.x0 tptp.x1 tptp.zero))) % 0.47/0.63 (step @p46 :rule symm :premises (@p45)) % 0.47/0.63 (step @p47 :rule trans :premises (@p46 @p44 @p17)) % 0.47/0.63 (step @p48 :rule cong :premises (@p47 @p38) :args ((tptp.add @t36 @t31))) % 0.47/0.63 (step @p49 :rule instantiate :premises (@p1) :args ((@list @t17 @t35 @t31))) % 0.47/0.63 (step @p50 :rule instantiate :premises (@p23) :args ((@list tptp.unit))) % 0.47/0.63 (step @p51 :rule symm :premises (@p50)) % 0.47/0.63 (step @p52 :rule instantiate :premises (@p2) :args ((@list tptp.zero tptp.unit))) % 0.47/0.63 (step @p53 :rule symm :premises (@p52)) % 0.47/0.63 (step @p54 :rule eq-symm :args (@t15 @t3)) % 0.47/0.63 (step @p55 :rule cong :premises (@p54) :args (@t16)) % 0.47/0.63 (step @p56 :rule eq_resolve :premises (@p7 @p55)) % 0.47/0.63 (step @p57 :rule instantiate :premises (@p56) :args (@t33)) % 0.47/0.63 (step @p58 :rule symm :premises (@p57)) % 0.47/0.63 (step @p59 :rule symm :premises (@p36)) % 0.47/0.63 (step @p60 :rule refl :args (tptp.zero)) % 0.47/0.63 (step @p61 :rule cong :premises (@p60 @p59) :args ((tptp.mult tptp.zero @t37))) % 0.47/0.63 (step @p62 :rule instantiate :premises (@p4) :args ((@list tptp.zero tptp.zero tptp.zero))) % 0.47/0.63 (step @p63 :rule symm :premises (@p62)) % 0.47/0.63 (step @p64 :rule trans :premises (@p63 @p61)) % 0.47/0.63 (step @p65 :rule cong :premises (@p60 @p64) :args ((tptp.add tptp.zero (tptp.add @t38 @t38)))) % 0.47/0.63 (step @p66 :rule instantiate :premises (@p1) :args ((@list tptp.zero @t38 @t38))) % 0.47/0.63 (step @p67 :rule symm :premises (@p66)) % 0.47/0.63 (step @p68 :rule trans :premises (@p67 @p65)) % 0.47/0.63 (step @p69 :rule refl :args (tptp.unit)) % 0.47/0.63 (step @p70 :rule cong :premises (@p69 @p68) :args (@t40)) % 0.47/0.63 (step @p71 :rule instantiate :premises (@p1) :args ((@list tptp.unit @t39 @t38))) % 0.47/0.63 (step @p72 :rule symm :premises (@p71)) % 0.47/0.63 (step @p73 :rule refl :args (@t38)) % 0.47/0.63 (step @p74 :rule cong :premises (@p57 @p73) :args (@t39)) % 0.47/0.63 (step @p75 :rule trans :premises (@p67 @p65 @p74 @p72 @p70 @p58)) % 0.47/0.63 (step @p76 :rule cong :premises (@p69 @p75) :args (@t40)) % 0.47/0.63 (step @p77 :rule symm :premises (@p70)) % 0.47/0.63 (step @p78 :rule trans :premises (@p57 @p77 @p76 @p53 @p51)) % 0.47/0.63 (step @p79 :rule cong :premises (@p27 @p78) :args (@t31)) % 0.47/0.63 (step @p80 :rule symm :premises (@p79)) % 0.47/0.63 (step @p81 :rule eq-symm :args (@t13 @t3)) % 0.47/0.63 (step @p82 :rule cong :premises (@p81) :args (@t14)) % 0.47/0.63 (step @p83 :rule eq_resolve :premises (@p6 @p82)) % 0.47/0.63 (step @p84 :rule instantiate :premises (@p83) :args (@t34)) % 0.47/0.63 (step @p85 :rule symm :premises (@p40)) % 0.47/0.63 (step @p86 :rule trans :premises (@p85 @p84 @p80)) % 0.47/0.63 (step @p87 :rule cong :premises (@p42 @p78) :args (@t35)) % 0.47/0.63 (step @p88 :rule symm :premises (@p87)) % 0.47/0.63 (step @p89 :rule instantiate :premises (@p83) :args (@t28)) % 0.47/0.63 (step @p90 :rule trans :premises (@p89 @p88)) % 0.47/0.63 (step @p91 :rule cong :premises (@p90 @p86) :args ((tptp.add tptp.x0 (tptp.add tptp.zero tptp.x1)))) % 0.47/0.63 (step @p92 :rule instantiate :premises (@p1) :args ((@list tptp.x0 tptp.zero tptp.x1))) % 0.47/0.63 (step @p93 :rule symm :premises (@p92)) % 0.47/0.63 (step @p94 :rule cong :premises (@p26 @p27) :args ((tptp.add @t29 tptp.x1))) % 0.47/0.63 (step @p95 :rule symm :premises (@p94)) % 0.47/0.63 (step @p96 :rule instantiate :premises (@p56) :args ((@list @t18))) % 0.47/0.63 (step @p97 :rule symm :premises (@p96)) % 0.47/0.63 (step @p98 :rule instantiate :premises (@p1) :args ((@list tptp.unit @t18 @t41))) % 0.47/0.63 (step @p99 :rule symm :premises (@p98)) % 0.47/0.63 (step @p100 :rule refl :args (@t41)) % 0.47/0.63 (step @p101 :rule instantiate :premises (@p2) :args (@t26)) % 0.47/0.63 (step @p102 :rule symm :premises (@p101)) % 0.47/0.63 (step @p103 :rule cong :premises (@p78 @p102) :args (@t43)) % 0.47/0.63 (step @p104 :rule instantiate :premises (@p2) :args ((@list @t42 tptp.zero))) % 0.47/0.63 (step @p105 :rule instantiate :premises (@p1) :args (@t30)) % 0.47/0.63 (step @p106 :rule cong :premises (@p27 @p25) :args (@t42)) % 0.47/0.63 (step @p107 :rule trans :premises (@p106 @p105 @p104 @p103)) % 0.47/0.63 (step @p108 :rule trans :premises (@p101 @p107)) % 0.47/0.63 (step @p109 :rule cong :premises (@p108 @p100) :args ((tptp.add @t18 @t41))) % 0.47/0.63 (step @p110 :rule symm :premises (@p84)) % 0.47/0.63 (step @p111 :rule instantiate :premises (@p3) :args ((@list tptp.x1 tptp.zero))) % 0.47/0.63 (step @p112 :rule symm :premises (@p111)) % 0.47/0.63 (step @p113 :rule trans :premises (@p112 @p79 @p110 @p40)) % 0.47/0.63 (step @p114 :rule symm :premises (@p89)) % 0.47/0.63 (step @p115 :rule instantiate :premises (@p3) :args (@t27)) % 0.47/0.63 (step @p116 :rule symm :premises (@p115)) % 0.47/0.63 (step @p117 :rule trans :premises (@p116 @p87 @p114)) % 0.47/0.63 (step @p118 :rule cong :premises (@p117 @p113) :args ((tptp.add (tptp.mult tptp.zero tptp.x0) (tptp.mult tptp.zero tptp.x1)))) % 0.47/0.63 (step @p119 :rule instantiate :premises (@p4) :args ((@list tptp.zero tptp.x0 tptp.x1))) % 0.47/0.63 (step @p120 :rule instantiate :premises (@p3) :args ((@list tptp.zero @t18))) % 0.47/0.63 (step @p121 :rule symm :premises (@p120)) % 0.47/0.63 (step @p122 :rule trans :premises (@p121 @p119 @p118 @p92 @p94 @p101)) % 0.47/0.63 (step @p123 :rule trans :premises (@p122 @p102)) % 0.47/0.63 (step @p124 :rule cong :premises (@p123 @p100) :args ((tptp.add (tptp.mult @t18 tptp.zero) @t41))) % 0.47/0.63 (step @p125 :rule instantiate :premises (@p4) :args ((@list @t18 tptp.zero @t18))) % 0.47/0.63 (step @p126 :rule cong :premises (@p60 @p102) :args (@t43)) % 0.47/0.63 (step @p127 :rule trans :premises (@p101 @p106 @p105 @p104 @p126)) % 0.47/0.63 (step @p128 :rule refl :args (@t18)) % 0.47/0.63 (step @p129 :rule cong :premises (@p128 @p127) :args (@t41)) % 0.47/0.63 (step @p130 :rule instantiate :premises (@p4) :args ((@list @t18 tptp.x0 tptp.x1))) % 0.47/0.63 (step @p131 :rule symm :premises (@p130)) % 0.47/0.63 (step @p132 :rule trans :premises (@p131 @p129 @p125 @p124 @p109 @p99 @p97 @p95 @p93 @p91)) % 0.47/0.63 (step @p133 :rule refl :args (@t17)) % 0.47/0.63 (step @p134 :rule cong :premises (@p133 @p132) :args (@t23)) % 0.47/0.63 (step @p135 :rule trans :premises (@p134 @p49 @p48 @p34 @p33 @p30 @p28 @p18)) % 0.47/0.63 (step @p136 :rule refl :args (@t19)) % 0.47/0.63 (step @p137 :rule cong :premises (@p102 @p42) :args ((tptp.mult @t42 tptp.x0))) % 0.47/0.63 (step @p138 :rule instantiate :premises (@p3) :args ((@list tptp.x0 @t42))) % 0.47/0.63 (step @p139 :rule instantiate :premises (@p4) :args ((@list tptp.x0 tptp.x1 tptp.x0))) % 0.47/0.63 (step @p140 :rule symm :premises (@p139)) % 0.47/0.63 (step @p141 :rule cong :premises (@p42 @p26) :args ((tptp.mult tptp.x0 @t29))) % 0.47/0.63 (step @p142 :rule instantiate :premises (@p4) :args ((@list tptp.x0 tptp.x0 tptp.zero))) % 0.47/0.63 (step @p143 :rule symm :premises (@p142)) % 0.47/0.63 (step @p144 :rule refl :args (@t44)) % 0.47/0.63 (step @p145 :rule cong :premises (@p144 @p90) :args ((tptp.add @t44 tptp.x0))) % 0.47/0.63 (step @p146 :rule instantiate :premises (@p2) :args ((@list tptp.x0 @t44))) % 0.47/0.63 (step @p147 :rule symm :premises (@p24)) % 0.47/0.63 (step @p148 :rule symm :premises (@p78)) % 0.47/0.63 (step @p149 :rule cong :premises (@p148 @p42) :args (@t45)) % 0.47/0.63 (step @p150 :rule trans :premises (@p149 @p147)) % 0.47/0.63 (step @p151 :rule cong :premises (@p150 @p144) :args ((tptp.add @t45 @t44))) % 0.47/0.63 (step @p152 :rule instantiate :premises (@p1) :args ((@list tptp.unit tptp.x0 @t44))) % 0.47/0.63 (step @p153 :rule instantiate :premises (@p56) :args (@t28)) % 0.47/0.63 (step @p154 :rule trans :premises (@p87 @p114 @p153 @p152 @p151 @p146 @p145 @p143 @p141)) % 0.47/0.63 (step @p155 :rule cong :premises (@p133 @p154) :args (@t36)) % 0.47/0.63 (step @p156 :rule trans :premises (@p18 @p43 @p45 @p155 @p140 @p138 @p137)) % 0.47/0.63 (step @p157 :rule cong :premises (@p42 @p59) :args ((tptp.mult tptp.x0 @t37))) % 0.47/0.63 (step @p158 :rule instantiate :premises (@p4) :args ((@list tptp.x0 tptp.zero tptp.zero))) % 0.47/0.63 (step @p159 :rule symm :premises (@p158)) % 0.47/0.63 (step @p160 :rule cong :premises (@p90 @p90) :args (@t46)) % 0.47/0.63 (step @p161 :rule trans :premises (@p160 @p159 @p157 @p87 @p114)) % 0.47/0.63 (step @p162 :rule cong :premises (@p27 @p161) :args ((tptp.mult tptp.x1 @t46))) % 0.47/0.63 (step @p163 :rule instantiate :premises (@p4) :args ((@list tptp.x1 tptp.x0 tptp.x0))) % 0.47/0.63 (step @p164 :rule symm :premises (@p163)) % 0.47/0.63 (step @p165 :rule symm :premises (@p156)) % 0.47/0.63 (step @p166 :rule cong :premises (@p17 @p165) :args (@t21)) % 0.47/0.63 (step @p167 :rule trans :premises (@p166 @p164 @p162)) % 0.47/0.63 (step @p168 :rule trans :premises (@p167 @p156)) % 0.47/0.63 (step @p169 :rule cong :premises (@p168 @p136) :args (@t22)) % 0.47/0.63 (step @p170 :rule trans :premises (@p169 @p131 @p129 @p125 @p124 @p109 @p99 @p97)) % 0.47/0.63 (step @p171 :rule cong :premises (@p170 @p135) :args (@t25)) % 0.47/0.63 (step @p172 :rule trans :premises (@p171 @p16)) % 0.47/0.63 (step @p173 :rule eq_resolve :premises (@p172 @p15)) % 0.47/0.63 (step @p174 :rule false_elim :premises (@p173)) % 0.47/0.63 (assume-push @p181 @t7) % 0.47/0.63 (step @p176 :rule instantiate :premises (@p1) :args ((@list @t17 @t20 @t19))) % 0.47/0.63 (step-pop @p182 :rule scope :premises (@p176)) % 0.47/0.63 (step @p177 :rule process_scope :premises (@p182) :args (@t24)) % 0.47/0.63 (step @p179 :rule implies_elim :premises (@p177)) % 0.47/0.63 (step @p180 false :rule chain_m_resolution :premises (@p179 @p174 @p1) :args (false (@list true false) (@list @t24 @t7))) % 0.47/0.63 ) % 0.47/0.63 % SZS output end Proof % 0.47/0.63 % cvc5 exiting %------------------------------------------------------------------------------