%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP681-1 : 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 : n026.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 08:21:17 AM UTC 2026 % Result : Unsatisfiable 164.97s 165.20s % Output : Proof 164.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP681-1 : 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 % 0.16/0.34 % Computer : n026.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 01:50:25 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/16.33 --- Run --no-e-matching --full-saturate-quant at 6... % 22.10/22.36 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.09/28.38 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.20/34.51 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.49/64.78 --- Run --trigger-sel=max --full-saturate-quant at 15... % 79.69/79.92 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 112.99/113.20 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 112.99/128.31 --- Run --prenex-quant=none --full-saturate-quant at 30... % 158.28/158.56 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 164.97/165.20 % SZS status Unsatisfiable % 164.97/165.20 % SZS output start Proof % 164.97/165.21 ( % 164.97/165.21 (declare-sort $$unsorted 0) % 164.97/165.21 (declare-const tptp.a $$unsorted) % 164.97/165.21 (declare-const tptp.unit $$unsorted) % 164.97/165.21 (declare-const tptp.op_c $$unsorted) % 164.97/165.21 (declare-const tptp.rd (-> $$unsorted $$unsorted $$unsorted)) % 164.97/165.21 (declare-const tptp.mult (-> $$unsorted $$unsorted $$unsorted)) % 164.97/165.21 (declare-const tptp.op_d $$unsorted) % 164.97/165.21 (declare-const tptp.ld (-> $$unsorted $$unsorted $$unsorted)) % 164.97/165.21 (define @t1 () (@var "B" $$unsorted)) % 164.97/165.21 (define @t2 () (@var "A" $$unsorted)) % 164.97/165.21 (define @t3 () (@list @t2 @t1)) % 164.97/165.21 (define @t4 () (tptp.mult @t2 @t1)) % 164.97/165.21 (define @t5 () (tptp.ld @t2 @t4)) % 164.97/165.21 (define @t6 () (forall @t3 (= @t5 @t1))) % 164.97/165.21 (define @t7 () (tptp.mult (tptp.rd @t2 @t1) @t1)) % 164.97/165.21 (define @t8 () (forall @t3 (= @t7 @t2))) % 164.97/165.21 (define @t9 () (tptp.rd @t4 @t1)) % 164.97/165.21 (define @t10 () (forall @t3 (= @t9 @t2))) % 164.97/165.21 (define @t11 () (tptp.mult @t2 tptp.unit)) % 164.97/165.21 (define @t12 () (@list @t2)) % 164.97/165.21 (define @t13 () (forall @t12 (= @t11 @t2))) % 164.97/165.21 (define @t14 () (tptp.mult tptp.unit @t2)) % 164.97/165.21 (define @t15 () (forall @t12 (= @t14 @t2))) % 164.97/165.21 (define @t16 () (@var "C" $$unsorted)) % 164.97/165.21 (define @t17 () (forall (@list @t2 @t1 @t16) (= (tptp.mult @t2 (tptp.mult @t1 (tptp.mult @t2 @t16))) (tptp.mult (tptp.mult @t2 (tptp.mult @t1 @t2)) @t16)))) % 164.97/165.21 (define @t18 () (forall @t12 (= (tptp.mult tptp.op_c @t2) (tptp.mult @t2 tptp.op_c)))) % 164.97/165.21 (define @t19 () (forall @t12 (= (tptp.mult tptp.op_d @t2) (tptp.mult @t2 tptp.op_d)))) % 164.97/165.21 (define @t20 () (tptp.mult tptp.op_c tptp.op_c)) % 164.97/165.21 (define @t21 () (tptp.mult @t20 tptp.op_d)) % 164.97/165.21 (define @t22 () (tptp.mult tptp.unit tptp.unit)) % 164.97/165.21 (define @t23 () (tptp.rd @t22 tptp.op_d)) % 164.97/165.21 (define @t24 () (tptp.mult tptp.op_d (tptp.mult tptp.a tptp.op_d))) % 164.97/165.21 (define @t25 () (tptp.mult @t24 (tptp.mult tptp.op_c @t23))) % 164.97/165.21 (define @t26 () (tptp.mult tptp.op_c @t25)) % 164.97/165.21 (define @t27 () (tptp.mult tptp.op_c (tptp.mult @t24 tptp.op_c))) % 164.97/165.21 (define @t28 () (tptp.mult @t27 @t23)) % 164.97/165.21 (define @t29 () (= @t28 @t26)) % 164.97/165.21 (define @t30 () (= @t26 @t28)) % 164.97/165.21 (define @t31 () (tptp.mult tptp.a (tptp.mult tptp.op_d @t20))) % 164.97/165.21 (define @t32 () (@list tptp.op_d)) % 164.97/165.21 (define @t33 () (@list tptp.unit)) % 164.97/165.21 (define @t34 () (tptp.mult @t23 tptp.op_d)) % 164.97/165.21 (define @t35 () (tptp.mult tptp.op_d @t34)) % 164.97/165.21 (define @t36 () (tptp.mult @t23 (tptp.mult tptp.op_d @t31))) % 164.97/165.21 (define @t37 () (tptp.mult @t24 @t20)) % 164.97/165.21 (define @t38 () (tptp.mult @t27 @t34)) % 164.97/165.21 (define @t39 () (tptp.mult @t23 @t38)) % 164.97/165.21 (define @t40 () (tptp.mult @t23 @t28)) % 164.97/165.21 (define @t41 () (tptp.mult @t40 tptp.op_d)) % 164.97/165.21 (define @t42 () (= @t39 @t41)) % 164.97/165.21 (define @t43 () (@list false)) % 164.97/165.21 (define @t44 () (tptp.mult @t23 (tptp.mult tptp.op_d @t23))) % 164.97/165.21 (define @t45 () (tptp.mult tptp.unit tptp.op_c)) % 164.97/165.21 (define @t46 () (tptp.mult tptp.op_c @t45)) % 164.97/165.21 (define @t47 () (tptp.mult tptp.op_c tptp.op_d)) % 164.97/165.21 (define @t48 () (tptp.mult tptp.op_d tptp.op_c)) % 164.97/165.21 (define @t49 () (= @t47 @t48)) % 164.97/165.21 (define @t50 () (@list @t18)) % 164.97/165.21 (define @t51 () (tptp.mult tptp.op_c @t48)) % 164.97/165.21 (define @t52 () (tptp.mult tptp.op_c tptp.a)) % 164.97/165.21 (define @t53 () (tptp.mult tptp.a tptp.op_c)) % 164.97/165.21 (define @t54 () (= @t52 @t53)) % 164.97/165.21 (define @t55 () (tptp.rd @t45 tptp.op_d)) % 164.97/165.21 (define @t56 () (tptp.mult tptp.op_d @t55)) % 164.97/165.21 (define @t57 () (tptp.mult @t55 tptp.op_d)) % 164.97/165.21 (define @t58 () (= @t56 @t57)) % 164.97/165.21 (define @t59 () (tptp.mult tptp.op_c @t34)) % 164.97/165.21 (define @t60 () (tptp.mult @t23 @t59)) % 164.97/165.21 (define @t61 () (tptp.mult tptp.op_d @t60)) % 164.97/165.21 (define @t62 () (tptp.mult tptp.a @t61)) % 164.97/165.21 (assume @p1 (forall @t3 (= (tptp.mult @t2 (tptp.ld @t2 @t1)) @t1))) % 164.97/165.21 (assume @p2 @t6) % 164.97/165.21 (assume @p3 @t8) % 164.97/165.21 (assume @p4 @t10) % 164.97/165.21 (assume @p5 @t13) % 164.97/165.21 (assume @p6 @t15) % 164.97/165.21 (assume @p7 @t17) % 164.97/165.21 (assume @p8 @t18) % 164.97/165.21 (assume @p9 @t19) % 164.97/165.21 (assume @p10 (not (= (tptp.mult @t21 tptp.a) (tptp.mult tptp.a @t21)))) % 164.97/165.21 (step @p11 :rule bool-eq-false :args (@t29)) % 164.97/165.21 (step @p12 :rule symm :premises (@p11)) % 164.97/165.21 (step @p13 :rule eq-symm :args (@t26 @t28)) % 164.97/165.21 (step @p14 :rule cong :premises (@p13) :args ((not @t30))) % 164.97/165.21 (step @p15 :rule bool-eq-false :args (@t30)) % 164.97/165.21 (step @p16 :rule trans :premises (@p15 @p14)) % 164.97/165.21 (step @p17 :rule trans :premises (@p16 @p12)) % 164.97/165.21 (step @p18 :rule false_intro :premises (@p10)) % 164.97/165.21 (step @p19 :rule instantiate :premises (@p9) :args ((@list @t20))) % 164.97/165.21 (step @p20 :rule refl :args (tptp.a)) % 164.97/165.21 (step @p21 :rule cong :premises (@p20 @p19) :args (@t31)) % 164.97/165.21 (step @p22 :rule eq-symm :args (@t5 @t1)) % 164.97/165.21 (step @p23 :rule cong :premises (@p22) :args (@t6)) % 164.97/165.21 (step @p24 :rule eq_resolve :premises (@p2 @p23)) % 164.97/165.21 (step @p25 :rule instantiate :premises (@p24) :args ((@list tptp.op_d @t31))) % 164.97/165.21 (step @p26 :rule symm :premises (@p25)) % 164.97/165.21 (step @p27 :rule refl :args (@t31)) % 164.97/165.21 (step @p28 :rule eq-symm :args (@t11 @t2)) % 164.97/165.21 (step @p29 :rule cong :premises (@p28) :args (@t13)) % 164.97/165.21 (step @p30 :rule eq_resolve :premises (@p5 @p29)) % 164.97/165.21 (step @p31 :rule instantiate :premises (@p30) :args (@t32)) % 164.97/165.21 (step @p32 :rule symm :premises (@p31)) % 164.97/165.21 (step @p33 :rule instantiate :premises (@p30) :args (@t33)) % 164.97/165.21 (step @p34 :rule symm :premises (@p33)) % 164.97/165.21 (step @p35 :rule eq-symm :args (@t7 @t2)) % 164.97/165.21 (step @p36 :rule cong :premises (@p35) :args (@t8)) % 164.97/165.21 (step @p37 :rule eq_resolve :premises (@p3 @p36)) % 164.97/165.21 (step @p38 :rule instantiate :premises (@p37) :args ((@list @t22 tptp.op_d))) % 164.97/165.21 (step @p39 :rule symm :premises (@p38)) % 164.97/165.21 (step @p40 :rule trans :premises (@p39 @p34)) % 164.97/165.21 (step @p41 :rule refl :args (tptp.op_d)) % 164.97/165.21 (step @p42 :rule cong :premises (@p41 @p40) :args (@t35)) % 164.97/165.21 (step @p43 :rule trans :premises (@p42 @p32)) % 164.97/165.21 (step @p44 :rule cong :premises (@p43 @p27) :args ((tptp.mult @t35 @t31))) % 164.97/165.21 (step @p45 :rule instantiate :premises (@p7) :args ((@list tptp.op_d @t23 @t31))) % 164.97/165.21 (step @p46 :rule trans :premises (@p45 @p44)) % 164.97/165.21 (step @p47 :rule cong :premises (@p41 @p46) :args ((tptp.ld tptp.op_d (tptp.mult tptp.op_d @t36)))) % 164.97/165.21 (step @p48 :rule instantiate :premises (@p24) :args ((@list tptp.op_d @t36))) % 164.97/165.21 (step @p49 :rule instantiate :premises (@p7) :args ((@list tptp.op_d tptp.a @t20))) % 164.97/165.21 (step @p50 :rule symm :premises (@p49)) % 164.97/165.21 (step @p51 :rule eq-symm :args (@t9 @t2)) % 164.97/165.21 (step @p52 :rule cong :premises (@p51) :args (@t10)) % 164.97/165.21 (step @p53 :rule eq_resolve :premises (@p4 @p52)) % 164.97/165.21 (step @p54 :rule instantiate :premises (@p53) :args ((@list @t37 tptp.op_c))) % 164.97/165.21 (step @p55 :rule symm :premises (@p54)) % 164.97/165.21 (step @p56 :rule refl :args (tptp.op_c)) % 164.97/165.21 (step @p57 :rule instantiate :premises (@p8) :args ((@list @t37))) % 164.97/165.21 (step @p58 :rule instantiate :premises (@p7) :args ((@list tptp.op_c @t24 tptp.op_c))) % 164.97/165.21 (step @p59 :rule symm :premises (@p58)) % 164.97/165.21 (step @p60 :rule trans :premises (@p59 @p57)) % 164.97/165.21 (step @p61 :rule cong :premises (@p60 @p56) :args ((tptp.rd (tptp.mult @t27 tptp.op_c) tptp.op_c))) % 164.97/165.21 (step @p62 :rule instantiate :premises (@p53) :args ((@list @t27 tptp.op_c))) % 164.97/165.21 (step @p63 :rule instantiate :premises (@p30) :args ((@list @t27))) % 164.97/165.21 (step @p64 :rule symm :premises (@p63)) % 164.97/165.21 (step @p65 :rule instantiate :premises (@p37) :args ((@list @t22 tptp.op_c))) % 164.97/165.21 (step @p66 :rule symm :premises (@p65)) % 164.97/165.21 (step @p67 :rule trans :premises (@p66 @p34)) % 164.97/165.21 (step @p68 :rule refl :args (@t27)) % 164.97/165.21 (step @p69 :rule cong :premises (@p68 @p67) :args ((tptp.mult @t27 (tptp.mult (tptp.rd @t22 tptp.op_c) tptp.op_c)))) % 164.97/165.21 (step @p70 :rule trans :premises (@p39 @p65)) % 164.97/165.21 (step @p71 :rule cong :premises (@p68 @p70) :args (@t38)) % 164.97/165.21 (step @p72 :rule trans :premises (@p71 @p69 @p64 @p62 @p61 @p55 @p50)) % 164.97/165.21 (step @p73 :rule refl :args (@t23)) % 164.97/165.21 (step @p74 :rule cong :premises (@p73 @p72) :args (@t39)) % 164.97/165.21 (step @p75 :rule eq-symm :args (@t39 @t41)) % 164.97/165.21 (step @p76 :rule refl :args (@t17)) % 164.97/165.21 (step @p77 :rule cong :premises (@p76 @p75) :args ((=> @t17 @t42))) % 164.97/165.21 (assume-push @p199 @t17) % 164.97/165.21 (step @p79 :rule instantiate :premises (@p7) :args ((@list @t23 @t27 tptp.op_d))) % 164.97/165.21 (step-pop @p200 :rule scope :premises (@p79)) % 164.97/165.21 (step @p80 :rule process_scope :premises (@p200) :args (@t42)) % 164.97/165.21 (step @p82 :rule eq_resolve :premises (@p80 @p77)) % 164.97/165.21 (step @p83 :rule implies_elim :premises (@p82)) % 164.97/165.21 (step @p84 :rule chain_m_resolution :premises (@p83 @p7) :args ((= @t41 @t39) @t43 (@list @t17))) % 164.97/165.21 (step @p85 :rule instantiate :premises (@p9) :args ((@list @t40))) % 164.97/165.21 (step @p86 :rule instantiate :premises (@p24) :args ((@list @t23 (tptp.mult tptp.op_d @t40)))) % 164.97/165.21 (step @p87 :rule symm :premises (@p86)) % 164.97/165.21 (step @p88 :rule instantiate :premises (@p7) :args ((@list @t23 tptp.op_d @t28))) % 164.97/165.21 (step @p89 :rule symm :premises (@p88)) % 164.97/165.21 (step @p90 :rule refl :args (@t28)) % 164.97/165.21 (step @p91 :rule cong :premises (@p73 @p43) :args ((tptp.mult @t23 @t35))) % 164.97/165.21 (step @p92 :rule instantiate :premises (@p7) :args ((@list @t23 tptp.op_d tptp.op_d))) % 164.97/165.21 (step @p93 :rule symm :premises (@p92)) % 164.97/165.21 (step @p94 :rule trans :premises (@p93 @p91 @p39)) % 164.97/165.21 (step @p95 :rule cong :premises (@p94 @p41) :args ((tptp.rd (tptp.mult @t44 tptp.op_d) tptp.op_d))) % 164.97/165.21 (step @p96 :rule instantiate :premises (@p53) :args ((@list @t44 tptp.op_d))) % 164.97/165.21 (step @p97 :rule trans :premises (@p96 @p95)) % 164.97/165.21 (step @p98 :rule symm :premises (@p97)) % 164.97/165.21 (step @p99 :rule cong :premises (@p98 @p90) :args (@t40)) % 164.97/165.21 (step @p100 :rule trans :premises (@p99 @p89)) % 164.97/165.21 (step @p101 :rule cong :premises (@p73 @p100) :args ((tptp.ld @t23 @t40))) % 164.97/165.21 (step @p102 :rule instantiate :premises (@p24) :args ((@list @t23 @t28))) % 164.97/165.21 (step @p103 :rule trans :premises (@p102 @p101 @p87 @p85 @p84 @p74 @p48 @p47 @p26 @p21)) % 164.97/165.21 (step @p104 :rule instantiate :premises (@p30) :args ((@list tptp.op_c))) % 164.97/165.21 (step @p105 :rule symm :premises (@p104)) % 164.97/165.21 (step @p106 :rule instantiate :premises (@p8) :args (@t33)) % 164.97/165.21 (step @p107 :rule symm :premises (@p106)) % 164.97/165.21 (step @p108 :rule trans :premises (@p107 @p105)) % 164.97/165.21 (step @p109 :rule cong :premises (@p56 @p108) :args (@t46)) % 164.97/165.21 (step @p110 :rule cong :premises (@p109 @p41) :args ((tptp.mult @t46 tptp.op_d))) % 164.97/165.21 (step @p111 :rule instantiate :premises (@p7) :args ((@list tptp.op_c tptp.unit tptp.op_d))) % 164.97/165.21 (step @p112 :rule eq-symm :args (@t14 @t2)) % 164.97/165.21 (step @p113 :rule cong :premises (@p112) :args (@t15)) % 164.97/165.21 (step @p114 :rule eq_resolve :premises (@p6 @p113)) % 164.97/165.21 (step @p115 :rule instantiate :premises (@p114) :args ((@list @t47))) % 164.97/165.21 (step @p116 :rule eq-symm :args (@t47 @t48)) % 164.97/165.21 (step @p117 :rule refl :args (@t18)) % 164.97/165.21 (step @p118 :rule cong :premises (@p117 @p116) :args ((=> @t18 @t49))) % 164.97/165.21 (assume-push @p201 @t18) % 164.97/165.21 (step @p120 :rule instantiate :premises (@p8) :args (@t32)) % 164.97/165.21 (step-pop @p202 :rule scope :premises (@p120)) % 164.97/165.21 (step @p121 :rule process_scope :premises (@p202) :args (@t49)) % 164.97/165.21 (step @p123 :rule eq_resolve :premises (@p121 @p118)) % 164.97/165.21 (step @p124 :rule implies_elim :premises (@p123)) % 164.97/165.21 (step @p125 :rule chain_m_resolution :premises (@p124 @p8) :args ((= @t48 @t47) @t43 @t50)) % 164.97/165.21 (step @p126 :rule trans :premises (@p125 @p115)) % 164.97/165.21 (step @p127 :rule cong :premises (@p56 @p126) :args (@t51)) % 164.97/165.21 (step @p128 :rule trans :premises (@p127 @p111 @p110)) % 164.97/165.21 (step @p129 :rule cong :premises (@p128 @p20) :args ((tptp.mult @t51 tptp.a))) % 164.97/165.21 (step @p130 :rule instantiate :premises (@p7) :args ((@list tptp.op_c tptp.op_d tptp.a))) % 164.97/165.21 (step @p131 :rule eq-symm :args (@t52 @t53)) % 164.97/165.21 (step @p132 :rule cong :premises (@p117 @p131) :args ((=> @t18 @t54))) % 164.97/165.21 (assume-push @p203 @t18) % 164.97/165.21 (step @p134 :rule instantiate :premises (@p8) :args ((@list tptp.a))) % 164.97/165.21 (step-pop @p204 :rule scope :premises (@p134)) % 164.97/165.21 (step @p135 :rule process_scope :premises (@p204) :args (@t54)) % 164.97/165.21 (step @p137 :rule eq_resolve :premises (@p135 @p132)) % 164.97/165.21 (step @p138 :rule implies_elim :premises (@p137)) % 164.97/165.21 (step @p139 :rule chain_m_resolution :premises (@p138 @p8) :args ((= @t53 @t52) @t43 @t50)) % 164.97/165.21 (step @p140 :rule instantiate :premises (@p37) :args ((@list @t45 tptp.op_d))) % 164.97/165.21 (step @p141 :rule symm :premises (@p140)) % 164.97/165.21 (step @p142 :rule instantiate :premises (@p9) :args ((@list @t55))) % 164.97/165.21 (step @p143 :rule refl :args (@t55)) % 164.97/165.21 (step @p144 :rule cong :premises (@p43 @p143) :args ((tptp.mult @t35 @t55))) % 164.97/165.21 (step @p145 :rule instantiate :premises (@p7) :args ((@list tptp.op_d @t23 @t55))) % 164.97/165.21 (step @p146 :rule eq-symm :args (@t56 @t57)) % 164.97/165.21 (step @p147 :rule refl :args (@t19)) % 164.97/165.21 (step @p148 :rule cong :premises (@p147 @p146) :args ((=> @t19 @t58))) % 164.97/165.21 (assume-push @p205 @t19) % 164.97/165.21 (step-pop @p206 :rule scope :premises (@p142)) % 164.97/165.21 (step @p150 :rule process_scope :premises (@p206) :args (@t58)) % 164.97/165.21 (step @p152 :rule eq_resolve :premises (@p150 @p148)) % 164.97/165.21 (step @p153 :rule implies_elim :premises (@p152)) % 164.97/165.21 (step @p154 :rule chain_m_resolution :premises (@p153 @p9) :args ((= @t57 @t56) @t43 (@list @t19))) % 164.97/165.21 (step @p155 :rule cong :premises (@p56 @p40) :args (@t59)) % 164.97/165.21 (step @p156 :rule trans :premises (@p155 @p106 @p140 @p154)) % 164.97/165.21 (step @p157 :rule cong :premises (@p73 @p156) :args (@t60)) % 164.97/165.21 (step @p158 :rule cong :premises (@p41 @p157) :args (@t61)) % 164.97/165.21 (step @p159 :rule trans :premises (@p158 @p145 @p144 @p142 @p141 @p107 @p105)) % 164.97/165.21 (step @p160 :rule cong :premises (@p20 @p159) :args (@t62)) % 164.97/165.21 (step @p161 :rule trans :premises (@p160 @p139)) % 164.97/165.21 (step @p162 :rule cong :premises (@p41 @p161) :args ((tptp.mult tptp.op_d @t62))) % 164.97/165.21 (step @p163 :rule instantiate :premises (@p7) :args ((@list tptp.op_d tptp.a @t60))) % 164.97/165.21 (step @p164 :rule symm :premises (@p163)) % 164.97/165.21 (step @p165 :rule instantiate :premises (@p24) :args ((@list tptp.op_d @t60))) % 164.97/165.21 (step @p166 :rule symm :premises (@p165)) % 164.97/165.21 (step @p167 :rule symm :premises (@p158)) % 164.97/165.21 (step @p168 :rule symm :premises (@p145)) % 164.97/165.21 (step @p169 :rule symm :premises (@p144)) % 164.97/165.21 (step @p170 :rule trans :premises (@p169 @p168 @p167)) % 164.97/165.21 (step @p171 :rule cong :premises (@p41 @p170) :args ((tptp.ld tptp.op_d @t56))) % 164.97/165.21 (step @p172 :rule instantiate :premises (@p24) :args ((@list tptp.op_d @t55))) % 164.97/165.21 (step @p173 :rule trans :premises (@p172 @p171 @p166)) % 164.97/165.21 (step @p174 :rule refl :args (@t24)) % 164.97/165.21 (step @p175 :rule cong :premises (@p174 @p173) :args ((tptp.mult @t24 @t55))) % 164.97/165.21 (step @p176 :rule symm :premises (@p172)) % 164.97/165.21 (step @p177 :rule symm :premises (@p171)) % 164.97/165.21 (step @p178 :rule symm :premises (@p155)) % 164.97/165.21 (step @p179 :rule trans :premises (@p104 @p178)) % 164.97/165.21 (step @p180 :rule cong :premises (@p73 @p179) :args ((tptp.mult @t23 tptp.op_c))) % 164.97/165.21 (step @p181 :rule instantiate :premises (@p8) :args ((@list @t23))) % 164.97/165.21 (step @p182 :rule trans :premises (@p181 @p180 @p165 @p177 @p176)) % 164.97/165.21 (step @p183 :rule cong :premises (@p174 @p182) :args (@t25)) % 164.97/165.21 (step @p184 :rule trans :premises (@p183 @p175 @p164 @p162)) % 164.97/165.21 (step @p185 :rule cong :premises (@p56 @p184) :args (@t26)) % 164.97/165.21 (step @p186 :rule trans :premises (@p185 @p130 @p129)) % 164.97/165.21 (step @p187 :rule cong :premises (@p186 @p103) :args (@t30)) % 164.97/165.21 (step @p188 :rule trans :premises (@p187 @p18)) % 164.97/165.21 (step @p189 :rule eq_resolve :premises (@p188 @p17)) % 164.97/165.21 (step @p190 :rule false_elim :premises (@p189)) % 164.97/165.21 (step @p191 :rule cong :premises (@p76 @p13) :args ((=> @t17 @t30))) % 164.97/165.21 (assume-push @p207 @t17) % 164.97/165.21 (step @p193 :rule instantiate :premises (@p7) :args ((@list tptp.op_c @t24 @t23))) % 164.97/165.21 (step-pop @p208 :rule scope :premises (@p193)) % 164.97/165.21 (step @p194 :rule process_scope :premises (@p208) :args (@t30)) % 164.97/165.21 (step @p196 :rule eq_resolve :premises (@p194 @p191)) % 164.97/165.21 (step @p197 :rule implies_elim :premises (@p196)) % 164.97/165.21 (step @p198 false :rule chain_m_resolution :premises (@p197 @p190 @p7) :args (false (@list true false) (@list @t29 @t17))) % 164.97/165.21 ) % 164.97/165.22 % SZS output end Proof % 164.97/165.22 % cvc5 exiting %------------------------------------------------------------------------------