%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO013-4 : TPTP v9.2.1. Released v1.1.0. % 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 08:09:03 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.81s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : BOO013-4 : TPTP v9.2.1. Released v1.1.0. % 0.12/0.15 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.36 % Computer : n009.cluster.edu % 0.18/0.36 % Model : x86_64 x86_64 % 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.36 % Memory : 8042.1875MB % 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.36 % CPULimit : 300 % 0.18/0.36 % WCLimit : 300 % 0.18/0.36 % DateTime : Wed Jun 3 02:38:14 EDT 2026 % 0.18/0.36 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.81 % SZS status Unsatisfiable % 0.37/0.81 % SZS output start Proof % 0.37/0.82 ( % 0.37/0.82 (declare-sort $$unsorted 0) % 0.37/0.82 (declare-const tptp.b $$unsorted) % 0.37/0.82 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.37/0.82 (declare-const tptp.a $$unsorted) % 0.37/0.82 (declare-const tptp.multiplicative_identity $$unsorted) % 0.37/0.82 (declare-const tptp.additive_identity $$unsorted) % 0.37/0.82 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.82 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.82 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.82 (define @t2 () (@var "Y" $$unsorted)) % 0.37/0.82 (define @t3 () (tptp.add @t1 @t2)) % 0.37/0.82 (define @t4 () (@list @t1 @t2)) % 0.37/0.82 (define @t5 () (tptp.multiply @t1 @t2)) % 0.37/0.82 (define @t6 () (@var "Z" $$unsorted)) % 0.37/0.82 (define @t7 () (@list @t1 @t2 @t6)) % 0.37/0.82 (define @t8 () (forall @t7 (= (tptp.add @t1 (tptp.multiply @t2 @t6)) (tptp.multiply @t3 (tptp.add @t1 @t6))))) % 0.37/0.82 (define @t9 () (tptp.add @t1 tptp.additive_identity)) % 0.37/0.82 (define @t10 () (@list @t1)) % 0.37/0.82 (define @t11 () (forall @t10 (= @t9 @t1))) % 0.37/0.82 (define @t12 () (tptp.multiply @t1 tptp.multiplicative_identity)) % 0.37/0.82 (define @t13 () (forall @t10 (= @t12 @t1))) % 0.37/0.82 (define @t14 () (tptp.inverse @t1)) % 0.37/0.82 (define @t15 () (tptp.add @t1 @t14)) % 0.37/0.82 (define @t16 () (forall @t10 (= @t15 tptp.multiplicative_identity))) % 0.37/0.82 (define @t17 () (tptp.multiply @t1 @t14)) % 0.37/0.82 (define @t18 () (forall @t10 (= @t17 tptp.additive_identity))) % 0.37/0.82 (define @t19 () (tptp.inverse tptp.a)) % 0.37/0.82 (define @t20 () (tptp.add @t19 tptp.a)) % 0.37/0.82 (define @t21 () (tptp.add @t19 tptp.b)) % 0.37/0.82 (define @t22 () (tptp.multiply @t21 @t20)) % 0.37/0.82 (define @t23 () (tptp.add @t19 (tptp.multiply tptp.b tptp.a))) % 0.37/0.82 (define @t24 () (= @t23 @t22)) % 0.37/0.82 (define @t25 () (= @t22 @t23)) % 0.37/0.82 (define @t26 () (@list tptp.additive_identity)) % 0.37/0.82 (define @t27 () (tptp.add tptp.additive_identity tptp.additive_identity)) % 0.37/0.82 (define @t28 () (tptp.add @t19 @t27)) % 0.37/0.82 (define @t29 () (@list tptp.a tptp.b)) % 0.37/0.82 (define @t30 () (@list tptp.a)) % 0.37/0.82 (define @t31 () (@list tptp.a @t19)) % 0.37/0.82 (define @t32 () (tptp.multiply tptp.additive_identity @t19)) % 0.37/0.82 (define @t33 () (tptp.add @t32 tptp.a)) % 0.37/0.82 (define @t34 () (tptp.add @t32 tptp.additive_identity)) % 0.37/0.82 (define @t35 () (@list @t32)) % 0.37/0.82 (define @t36 () (tptp.inverse tptp.additive_identity)) % 0.37/0.82 (define @t37 () (tptp.add tptp.multiplicative_identity tptp.additive_identity)) % 0.37/0.82 (define @t38 () (tptp.multiply @t37 tptp.multiplicative_identity)) % 0.37/0.82 (define @t39 () (tptp.add @t36 @t36)) % 0.37/0.82 (define @t40 () (tptp.multiply @t37 @t39)) % 0.37/0.82 (define @t41 () (tptp.multiply @t37 tptp.a)) % 0.37/0.82 (define @t42 () (tptp.multiply @t37 @t19)) % 0.37/0.82 (define @t43 () (tptp.add @t32 @t33)) % 0.37/0.82 (define @t44 () (tptp.multiply @t19 tptp.additive_identity)) % 0.37/0.82 (define @t45 () (tptp.add @t32 @t27)) % 0.37/0.82 (define @t46 () (tptp.multiply tptp.additive_identity tptp.a)) % 0.37/0.82 (define @t47 () (tptp.multiply @t27 @t32)) % 0.37/0.82 (define @t48 () (tptp.add tptp.additive_identity @t34)) % 0.37/0.82 (define @t49 () (tptp.multiply @t48 @t33)) % 0.37/0.82 (define @t50 () (tptp.multiply @t48 tptp.additive_identity)) % 0.37/0.82 (define @t51 () (@list tptp.additive_identity tptp.multiplicative_identity)) % 0.37/0.82 (define @t52 () (tptp.multiply @t37 @t46)) % 0.37/0.82 (define @t53 () (@list tptp.multiplicative_identity tptp.b)) % 0.37/0.82 (define @t54 () (tptp.add tptp.multiplicative_identity tptp.b)) % 0.37/0.82 (define @t55 () (tptp.multiply tptp.additive_identity tptp.b)) % 0.37/0.82 (define @t56 () (tptp.multiply @t37 tptp.b)) % 0.37/0.82 (define @t57 () (tptp.multiply tptp.multiplicative_identity tptp.b)) % 0.37/0.82 (define @t58 () (tptp.multiply @t34 @t36)) % 0.37/0.82 (define @t59 () (tptp.add tptp.multiplicative_identity @t34)) % 0.37/0.82 (define @t60 () (tptp.add tptp.multiplicative_identity @t19)) % 0.37/0.82 (define @t61 () (tptp.multiply @t19 @t37)) % 0.37/0.82 (define @t62 () (@list @t19 tptp.additive_identity tptp.a)) % 0.37/0.82 (define @t63 () (tptp.multiply @t19 @t56)) % 0.37/0.82 (define @t64 () (tptp.multiply @t19 @t57)) % 0.37/0.82 (define @t65 () (tptp.add @t27 tptp.a)) % 0.37/0.82 (define @t66 () (tptp.add tptp.a tptp.additive_identity)) % 0.37/0.82 (define @t67 () (tptp.multiply tptp.multiplicative_identity @t32)) % 0.37/0.82 (define @t68 () (tptp.multiply @t19 @t41)) % 0.37/0.82 (assume @p1 (forall @t4 (= @t3 (tptp.add @t2 @t1)))) % 0.37/0.82 (assume @p2 (forall @t4 (= @t5 (tptp.multiply @t2 @t1)))) % 0.37/0.82 (assume @p3 @t8) % 0.37/0.82 (assume @p4 (forall @t7 (= (tptp.multiply @t1 (tptp.add @t2 @t6)) (tptp.add @t5 (tptp.multiply @t1 @t6))))) % 0.37/0.82 (assume @p5 @t11) % 0.37/0.82 (assume @p6 @t13) % 0.37/0.82 (assume @p7 @t16) % 0.37/0.82 (assume @p8 @t18) % 0.37/0.82 (assume @p9 (= (tptp.add tptp.a tptp.b) tptp.multiplicative_identity)) % 0.37/0.82 (assume @p10 (= (tptp.multiply tptp.a tptp.b) tptp.additive_identity)) % 0.37/0.82 (assume @p11 (not (= tptp.b @t19))) % 0.37/0.82 (step @p12 :rule bool-eq-false :args (@t24)) % 0.37/0.82 (step @p13 :rule symm :premises (@p12)) % 0.37/0.82 (step @p14 :rule eq-symm :args (@t22 @t23)) % 0.37/0.82 (step @p15 :rule cong :premises (@p14) :args ((not @t25))) % 0.37/0.82 (step @p16 :rule bool-eq-false :args (@t25)) % 0.37/0.82 (step @p17 :rule trans :premises (@p16 @p15)) % 0.37/0.82 (step @p18 :rule trans :premises (@p17 @p13)) % 0.37/0.82 (step @p19 :rule false_intro :premises (@p11)) % 0.37/0.82 (step @p20 :rule eq-symm :args (@t9 @t1)) % 0.37/0.82 (step @p21 :rule cong :premises (@p20) :args (@t11)) % 0.37/0.82 (step @p22 :rule eq_resolve :premises (@p5 @p21)) % 0.37/0.82 (step @p23 :rule instantiate :premises (@p22) :args ((@list @t19))) % 0.37/0.82 (step @p24 :rule symm :premises (@p23)) % 0.37/0.82 (step @p25 :rule instantiate :premises (@p22) :args (@t26)) % 0.37/0.82 (step @p26 :rule symm :premises (@p25)) % 0.37/0.82 (step @p27 :rule refl :args (@t19)) % 0.37/0.82 (step @p28 :rule cong :premises (@p27 @p26) :args (@t28)) % 0.37/0.82 (step @p29 :rule instantiate :premises (@p2) :args (@t29)) % 0.37/0.82 (step @p30 :rule symm :premises (@p29)) % 0.37/0.82 (step @p31 :rule trans :premises (@p30 @p10 @p25)) % 0.37/0.82 (step @p32 :rule cong :premises (@p27 @p31) :args (@t23)) % 0.37/0.82 (step @p33 :rule trans :premises (@p32 @p28 @p24)) % 0.37/0.82 (step @p34 :rule instantiate :premises (@p22) :args ((@list tptp.b))) % 0.37/0.82 (step @p35 :rule symm :premises (@p34)) % 0.37/0.82 (step @p36 :rule eq-symm :args (@t12 @t1)) % 0.37/0.82 (step @p37 :rule cong :premises (@p36) :args (@t13)) % 0.37/0.82 (step @p38 :rule eq_resolve :premises (@p6 @p37)) % 0.37/0.82 (step @p39 :rule instantiate :premises (@p38) :args (@t26)) % 0.37/0.82 (step @p40 :rule symm :premises (@p39)) % 0.37/0.82 (step @p41 :rule eq-symm :args (@t15 tptp.multiplicative_identity)) % 0.37/0.82 (step @p42 :rule cong :premises (@p41) :args (@t16)) % 0.37/0.82 (step @p43 :rule eq_resolve :premises (@p7 @p42)) % 0.37/0.82 (step @p44 :rule instantiate :premises (@p43) :args (@t30)) % 0.37/0.82 (step @p45 :rule symm :premises (@p44)) % 0.37/0.82 (step @p46 :rule instantiate :premises (@p1) :args (@t31)) % 0.37/0.82 (step @p47 :rule symm :premises (@p46)) % 0.37/0.82 (step @p48 :rule trans :premises (@p47 @p45)) % 0.37/0.82 (step @p49 :rule refl :args (tptp.additive_identity)) % 0.37/0.82 (step @p50 :rule cong :premises (@p49 @p48) :args ((tptp.multiply tptp.additive_identity @t20))) % 0.37/0.82 (step @p51 :rule instantiate :premises (@p4) :args ((@list tptp.additive_identity @t19 tptp.a))) % 0.37/0.82 (step @p52 :rule symm :premises (@p51)) % 0.37/0.82 (step @p53 :rule instantiate :premises (@p3) :args ((@list @t32 tptp.additive_identity tptp.a))) % 0.37/0.82 (step @p54 :rule symm :premises (@p53)) % 0.37/0.82 (step @p55 :rule instantiate :premises (@p2) :args ((@list @t34 @t33))) % 0.37/0.82 (step @p56 :rule symm :premises (@p55)) % 0.37/0.82 (step @p57 :rule instantiate :premises (@p22) :args (@t35)) % 0.37/0.82 (step @p58 :rule instantiate :premises (@p38) :args (@t35)) % 0.37/0.82 (step @p59 :rule symm :premises (@p58)) % 0.37/0.82 (step @p60 :rule instantiate :premises (@p22) :args ((@list tptp.multiplicative_identity))) % 0.37/0.82 (step @p61 :rule symm :premises (@p60)) % 0.37/0.82 (step @p62 :rule eq-symm :args (@t17 tptp.additive_identity)) % 0.37/0.82 (step @p63 :rule cong :premises (@p62) :args (@t18)) % 0.37/0.82 (step @p64 :rule eq_resolve :premises (@p8 @p63)) % 0.37/0.82 (step @p65 :rule instantiate :premises (@p64) :args (@t26)) % 0.37/0.82 (step @p66 :rule symm :premises (@p65)) % 0.37/0.82 (step @p67 :rule refl :args (tptp.multiplicative_identity)) % 0.37/0.82 (step @p68 :rule cong :premises (@p67 @p66) :args ((tptp.add tptp.multiplicative_identity (tptp.multiply tptp.additive_identity @t36)))) % 0.37/0.82 (step @p69 :rule instantiate :premises (@p3) :args ((@list tptp.multiplicative_identity tptp.additive_identity @t36))) % 0.37/0.82 (step @p70 :rule symm :premises (@p69)) % 0.37/0.82 (step @p71 :rule instantiate :premises (@p4) :args ((@list @t37 tptp.multiplicative_identity @t36))) % 0.37/0.82 (step @p72 :rule symm :premises (@p71)) % 0.37/0.82 (step @p73 :rule instantiate :premises (@p3) :args ((@list @t38 @t37 @t36))) % 0.37/0.82 (step @p74 :rule symm :premises (@p73)) % 0.37/0.82 (step @p75 :rule instantiate :premises (@p22) :args ((@list @t36))) % 0.37/0.82 (step @p76 :rule symm :premises (@p75)) % 0.37/0.82 (step @p77 :rule instantiate :premises (@p1) :args ((@list tptp.additive_identity @t36))) % 0.37/0.82 (step @p78 :rule instantiate :premises (@p43) :args (@t26)) % 0.37/0.82 (step @p79 :rule instantiate :premises (@p1) :args ((@list tptp.multiplicative_identity @t36))) % 0.37/0.82 (step @p80 :rule symm :premises (@p79)) % 0.37/0.82 (step @p81 :rule symm :premises (@p78)) % 0.37/0.82 (step @p82 :rule symm :premises (@p77)) % 0.37/0.82 (step @p83 :rule trans :premises (@p75 @p82 @p81)) % 0.37/0.82 (step @p84 :rule refl :args (@t36)) % 0.37/0.82 (step @p85 :rule cong :premises (@p84 @p83) :args (@t39)) % 0.37/0.82 (step @p86 :rule trans :premises (@p85 @p80)) % 0.37/0.82 (step @p87 :rule refl :args (@t37)) % 0.37/0.82 (step @p88 :rule cong :premises (@p87 @p86) :args (@t40)) % 0.37/0.82 (step @p89 :rule trans :premises (@p88 @p70 @p68 @p61 @p78 @p77 @p76)) % 0.37/0.82 (step @p90 :rule refl :args (@t38)) % 0.37/0.82 (step @p91 :rule cong :premises (@p90 @p89) :args ((tptp.add @t38 @t40))) % 0.37/0.82 (step @p92 :rule instantiate :premises (@p4) :args ((@list @t37 tptp.multiplicative_identity @t39))) % 0.37/0.82 (step @p93 :rule instantiate :premises (@p3) :args ((@list tptp.multiplicative_identity tptp.additive_identity @t39))) % 0.37/0.82 (step @p94 :rule instantiate :premises (@p4) :args ((@list tptp.additive_identity @t36 @t36))) % 0.37/0.82 (step @p95 :rule symm :premises (@p94)) % 0.37/0.82 (step @p96 :rule cong :premises (@p65 @p65) :args (@t27)) % 0.37/0.82 (step @p97 :rule trans :premises (@p25 @p96 @p95)) % 0.37/0.82 (step @p98 :rule cong :premises (@p67 @p97) :args (@t37)) % 0.37/0.82 (step @p99 :rule trans :premises (@p60 @p98 @p93 @p92 @p91)) % 0.37/0.82 (step @p100 :rule trans :premises (@p75 @p82 @p81 @p60)) % 0.37/0.82 (step @p101 :rule cong :premises (@p90 @p100) :args ((tptp.add @t38 @t36))) % 0.37/0.82 (step @p102 :rule trans :premises (@p60 @p98 @p93 @p92 @p91 @p101)) % 0.37/0.82 (step @p103 :rule trans :premises (@p61 @p102)) % 0.37/0.82 (step @p104 :rule cong :premises (@p103 @p99) :args (@t38)) % 0.37/0.82 (step @p105 :rule cong :premises (@p87 @p48) :args ((tptp.multiply @t37 @t20))) % 0.37/0.82 (step @p106 :rule instantiate :premises (@p4) :args ((@list @t37 @t19 tptp.a))) % 0.37/0.82 (step @p107 :rule symm :premises (@p106)) % 0.37/0.82 (step @p108 :rule trans :premises (@p107 @p105 @p104 @p74 @p72 @p70 @p68 @p61)) % 0.37/0.82 (step @p109 :rule refl :args (@t32)) % 0.37/0.82 (step @p110 :rule cong :premises (@p109 @p108) :args ((tptp.multiply @t32 (tptp.add @t42 @t41)))) % 0.37/0.82 (step @p111 :rule instantiate :premises (@p4) :args ((@list @t32 @t42 @t41))) % 0.37/0.82 (step @p112 :rule symm :premises (@p111)) % 0.37/0.82 (step @p113 :rule trans :premises (@p112 @p110 @p59 @p57)) % 0.37/0.82 (step @p114 :rule refl :args (@t33)) % 0.37/0.82 (step @p115 :rule cong :premises (@p114 @p113) :args ((tptp.multiply @t33 (tptp.add (tptp.multiply @t32 @t42) (tptp.multiply @t32 @t41))))) % 0.37/0.82 (step @p116 :rule symm :premises (@p110)) % 0.37/0.82 (step @p117 :rule symm :premises (@p57)) % 0.37/0.82 (step @p118 :rule trans :premises (@p54 @p52 @p50 @p40)) % 0.37/0.82 (step @p119 :rule cong :premises (@p109 @p118) :args ((tptp.add @t32 (tptp.multiply @t34 @t33)))) % 0.37/0.82 (step @p120 :rule instantiate :premises (@p3) :args ((@list @t32 @t34 @t33))) % 0.37/0.82 (step @p121 :rule symm :premises (@p120)) % 0.37/0.82 (step @p122 :rule refl :args (@t43)) % 0.37/0.82 (step @p123 :rule instantiate :premises (@p2) :args ((@list tptp.additive_identity @t19))) % 0.37/0.82 (step @p124 :rule symm :premises (@p123)) % 0.37/0.82 (step @p125 :rule trans :premises (@p124 @p57)) % 0.37/0.82 (step @p126 :rule cong :premises (@p124 @p125) :args ((tptp.add @t44 @t44))) % 0.37/0.82 (step @p127 :rule instantiate :premises (@p4) :args ((@list @t19 tptp.additive_identity tptp.additive_identity))) % 0.37/0.82 (step @p128 :rule cong :premises (@p27 @p25) :args (@t44)) % 0.37/0.82 (step @p129 :rule trans :premises (@p117 @p123 @p128 @p127 @p126)) % 0.37/0.82 (step @p130 :rule cong :premises (@p109 @p26) :args (@t45)) % 0.37/0.82 (step @p131 :rule trans :premises (@p130 @p129)) % 0.37/0.82 (step @p132 :rule cong :premises (@p131 @p122) :args ((tptp.multiply @t45 @t43))) % 0.37/0.82 (step @p133 :rule instantiate :premises (@p3) :args ((@list @t32 @t27 @t33))) % 0.37/0.82 (step @p134 :rule instantiate :premises (@p4) :args ((@list @t27 @t32 tptp.a))) % 0.37/0.82 (step @p135 :rule symm :premises (@p134)) % 0.37/0.82 (step @p136 :rule refl :args (tptp.a)) % 0.37/0.82 (step @p137 :rule cong :premises (@p25 @p136) :args (@t46)) % 0.37/0.82 (step @p138 :rule refl :args (@t47)) % 0.37/0.82 (step @p139 :rule cong :premises (@p138 @p137) :args ((tptp.add @t47 @t46))) % 0.37/0.82 (step @p140 :rule instantiate :premises (@p1) :args ((@list @t47 @t46))) % 0.37/0.82 (step @p141 :rule symm :premises (@p140)) % 0.37/0.82 (step @p142 :rule instantiate :premises (@p2) :args ((@list @t27 @t32))) % 0.37/0.82 (step @p143 :rule symm :premises (@p142)) % 0.37/0.82 (step @p144 :rule refl :args (@t27)) % 0.37/0.82 (step @p145 :rule instantiate :premises (@p1) :args ((@list @t32 tptp.additive_identity))) % 0.37/0.82 (step @p146 :rule symm :premises (@p145)) % 0.37/0.82 (step @p147 :rule trans :premises (@p146 @p117)) % 0.37/0.82 (step @p148 :rule cong :premises (@p147 @p144) :args ((tptp.multiply (tptp.add tptp.additive_identity @t32) @t27))) % 0.37/0.82 (step @p149 :rule instantiate :premises (@p3) :args ((@list tptp.additive_identity @t32 tptp.additive_identity))) % 0.37/0.82 (step @p150 :rule cong :premises (@p109 @p26) :args ((tptp.multiply @t32 @t27))) % 0.37/0.82 (step @p151 :rule trans :premises (@p142 @p150)) % 0.37/0.82 (step @p152 :rule cong :premises (@p26 @p151) :args ((tptp.add @t27 @t47))) % 0.37/0.82 (step @p153 :rule instantiate :premises (@p1) :args ((@list @t47 @t27))) % 0.37/0.82 (step @p154 :rule cong :premises (@p49 @p117) :args (@t48)) % 0.37/0.82 (step @p155 :rule trans :premises (@p154 @p146)) % 0.37/0.82 (step @p156 :rule cong :premises (@p155 @p114) :args (@t49)) % 0.37/0.82 (step @p157 :rule trans :premises (@p156 @p54 @p52 @p50 @p40 @p25)) % 0.37/0.82 (step @p158 :rule trans :premises (@p155 @p117)) % 0.37/0.82 (step @p159 :rule cong :premises (@p158 @p25) :args (@t50)) % 0.37/0.82 (step @p160 :rule trans :premises (@p159 @p143)) % 0.37/0.82 (step @p161 :rule cong :premises (@p160 @p157) :args ((tptp.add @t50 @t49))) % 0.37/0.82 (step @p162 :rule instantiate :premises (@p4) :args ((@list @t48 tptp.additive_identity @t33))) % 0.37/0.82 (step @p163 :rule instantiate :premises (@p3) :args ((@list tptp.additive_identity @t34 @t33))) % 0.37/0.82 (step @p164 :rule symm :premises (@p118)) % 0.37/0.82 (step @p165 :rule cong :premises (@p49 @p164) :args (@t27)) % 0.37/0.82 (step @p166 :rule trans :premises (@p25 @p165 @p163 @p162 @p161 @p153 @p152 @p149 @p148 @p143)) % 0.37/0.82 (step @p167 :rule refl :args (@t46)) % 0.37/0.82 (step @p168 :rule cong :premises (@p167 @p166) :args ((tptp.add @t46 tptp.additive_identity))) % 0.37/0.82 (step @p169 :rule instantiate :premises (@p22) :args ((@list @t46))) % 0.37/0.82 (step @p170 :rule trans :premises (@p169 @p168 @p141 @p139 @p135)) % 0.37/0.82 (step @p171 :rule cong :premises (@p109 @p170) :args ((tptp.add @t32 @t46))) % 0.37/0.82 (step @p172 :rule symm :premises (@p50)) % 0.37/0.82 (step @p173 :rule trans :premises (@p26 @p39 @p172 @p51 @p171 @p133 @p132 @p121 @p119 @p117 @p58 @p116 @p111)) % 0.37/0.82 (step @p174 :rule cong :premises (@p114 @p173) :args ((tptp.multiply @t33 @t27))) % 0.37/0.82 (step @p175 :rule instantiate :premises (@p2) :args ((@list @t27 @t33))) % 0.37/0.82 (step @p176 :rule trans :premises (@p169 @p168 @p141 @p139 @p135 @p175 @p174 @p115 @p56 @p54 @p52 @p50 @p40)) % 0.37/0.82 (step @p177 :rule refl :args (tptp.b)) % 0.37/0.82 (step @p178 :rule cong :premises (@p177 @p176) :args ((tptp.add tptp.b @t46))) % 0.37/0.82 (step @p179 :rule symm :premises (@p169)) % 0.37/0.82 (step @p180 :rule symm :premises (@p168)) % 0.37/0.82 (step @p181 :rule symm :premises (@p139)) % 0.37/0.82 (step @p182 :rule symm :premises (@p175)) % 0.37/0.82 (step @p183 :rule symm :premises (@p174)) % 0.37/0.82 (step @p184 :rule symm :premises (@p115)) % 0.37/0.82 (step @p185 :rule instantiate :premises (@p2) :args (@t51)) % 0.37/0.82 (step @p186 :rule symm :premises (@p185)) % 0.37/0.82 (step @p187 :rule trans :premises (@p186 @p40)) % 0.37/0.82 (step @p188 :rule cong :premises (@p49 @p187) :args ((tptp.add tptp.additive_identity (tptp.multiply tptp.multiplicative_identity tptp.additive_identity)))) % 0.37/0.82 (step @p189 :rule instantiate :premises (@p3) :args ((@list tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity))) % 0.37/0.82 (step @p190 :rule symm :premises (@p189)) % 0.37/0.82 (step @p191 :rule trans :premises (@p169 @p168 @p141 @p139 @p135 @p175 @p174 @p115 @p56 @p54 @p52 @p50 @p40 @p25)) % 0.37/0.82 (step @p192 :rule instantiate :premises (@p1) :args (@t51)) % 0.37/0.82 (step @p193 :rule symm :premises (@p192)) % 0.37/0.82 (step @p194 :rule cong :premises (@p193 @p191) :args (@t52)) % 0.37/0.82 (step @p195 :rule trans :premises (@p194 @p190 @p188 @p26 @p39 @p172 @p51 @p53 @p55 @p184 @p183 @p182 @p134 @p181 @p140 @p180 @p179)) % 0.37/0.82 (step @p196 :rule cong :premises (@p177 @p195) :args ((tptp.add tptp.b @t52))) % 0.37/0.82 (step @p197 :rule instantiate :premises (@p3) :args ((@list tptp.b @t37 @t46))) % 0.37/0.82 (step @p198 :rule symm :premises (@p197)) % 0.37/0.82 (step @p199 :rule symm :premises (@p178)) % 0.37/0.82 (step @p200 :rule trans :premises (@p34 @p199)) % 0.37/0.82 (step @p201 :rule cong :premises (@p177 @p60) :args ((tptp.add tptp.b tptp.multiplicative_identity))) % 0.37/0.82 (step @p202 :rule instantiate :premises (@p1) :args (@t53)) % 0.37/0.82 (step @p203 :rule instantiate :premises (@p38) :args ((@list @t54))) % 0.37/0.82 (step @p204 :rule symm :premises (@p203)) % 0.37/0.82 (step @p205 :rule refl :args (@t54)) % 0.37/0.82 (step @p206 :rule cong :premises (@p205 @p61) :args ((tptp.multiply @t54 @t37))) % 0.37/0.82 (step @p207 :rule instantiate :premises (@p3) :args ((@list tptp.multiplicative_identity tptp.b tptp.additive_identity))) % 0.37/0.82 (step @p208 :rule instantiate :premises (@p2) :args ((@list tptp.additive_identity tptp.b))) % 0.37/0.82 (step @p209 :rule instantiate :premises (@p22) :args ((@list @t55))) % 0.37/0.82 (step @p210 :rule symm :premises (@p209)) % 0.37/0.82 (step @p211 :rule refl :args (@t55)) % 0.37/0.82 (step @p212 :rule cong :premises (@p211 @p176) :args ((tptp.add @t55 @t46))) % 0.37/0.82 (step @p213 :rule instantiate :premises (@p4) :args ((@list tptp.additive_identity tptp.b tptp.a))) % 0.37/0.82 (step @p214 :rule instantiate :premises (@p1) :args (@t29)) % 0.37/0.82 (step @p215 :rule symm :premises (@p9)) % 0.37/0.82 (step @p216 :rule trans :premises (@p215 @p214)) % 0.37/0.82 (step @p217 :rule cong :premises (@p49 @p216) :args ((tptp.multiply tptp.additive_identity tptp.multiplicative_identity))) % 0.37/0.82 (step @p218 :rule trans :premises (@p39 @p217 @p213 @p212 @p210 @p208)) % 0.37/0.82 (step @p219 :rule cong :premises (@p83 @p218) :args ((tptp.add @t36 tptp.additive_identity))) % 0.37/0.82 (step @p220 :rule trans :premises (@p78 @p77 @p219 @p207 @p206 @p204 @p202 @p201)) % 0.37/0.82 (step @p221 :rule trans :premises (@p61 @p220)) % 0.37/0.82 (step @p222 :rule cong :premises (@p221 @p200) :args (@t56)) % 0.37/0.82 (step @p223 :rule cong :premises (@p60 @p177) :args (@t57)) % 0.37/0.82 (step @p224 :rule instantiate :premises (@p2) :args (@t53)) % 0.37/0.82 (step @p225 :rule symm :premises (@p224)) % 0.37/0.82 (step @p226 :rule symm :premises (@p200)) % 0.37/0.82 (step @p227 :rule symm :premises (@p171)) % 0.37/0.82 (step @p228 :rule symm :premises (@p133)) % 0.37/0.82 (step @p229 :rule symm :premises (@p132)) % 0.37/0.82 (step @p230 :rule symm :premises (@p119)) % 0.37/0.82 (step @p231 :rule cong :premises (@p117 @p83) :args (@t58)) % 0.37/0.82 (step @p232 :rule trans :premises (@p231 @p59 @p57 @p230 @p120 @p229 @p228 @p227 @p52 @p50 @p40)) % 0.37/0.82 (step @p233 :rule symm :premises (@p83)) % 0.37/0.82 (step @p234 :rule cong :premises (@p233 @p232) :args ((tptp.add tptp.multiplicative_identity @t58))) % 0.37/0.82 (step @p235 :rule symm :premises (@p231)) % 0.37/0.82 (step @p236 :rule trans :premises (@p117 @p58 @p235)) % 0.37/0.82 (step @p237 :rule cong :premises (@p67 @p236) :args (@t59)) % 0.37/0.82 (step @p238 :rule cong :premises (@p67 @p125) :args ((tptp.add tptp.multiplicative_identity @t44))) % 0.37/0.82 (step @p239 :rule instantiate :premises (@p3) :args ((@list tptp.multiplicative_identity @t19 tptp.additive_identity))) % 0.37/0.82 (step @p240 :rule symm :premises (@p239)) % 0.37/0.82 (step @p241 :rule symm :premises (@p98)) % 0.37/0.82 (step @p242 :rule symm :premises (@p93)) % 0.37/0.82 (step @p243 :rule symm :premises (@p92)) % 0.37/0.82 (step @p244 :rule symm :premises (@p91)) % 0.37/0.82 (step @p245 :rule symm :premises (@p104)) % 0.37/0.82 (step @p246 :rule symm :premises (@p68)) % 0.37/0.82 (step @p247 :rule trans :premises (@p60 @p246 @p69 @p71 @p73 @p245)) % 0.37/0.82 (step @p248 :rule trans :premises (@p83 @p247)) % 0.37/0.82 (step @p249 :rule cong :premises (@p248 @p233) :args ((tptp.add @t36 tptp.multiplicative_identity))) % 0.37/0.82 (step @p250 :rule trans :premises (@p79 @p249 @p244 @p243 @p242 @p241)) % 0.37/0.82 (step @p251 :rule refl :args (@t60)) % 0.37/0.82 (step @p252 :rule cong :premises (@p251 @p250) :args ((tptp.multiply @t60 (tptp.add tptp.multiplicative_identity @t36)))) % 0.37/0.82 (step @p253 :rule instantiate :premises (@p3) :args ((@list tptp.multiplicative_identity @t19 @t36))) % 0.37/0.82 (step @p254 :rule symm :premises (@p100)) % 0.37/0.82 (step @p255 :rule cong :premises (@p27 @p254) :args (@t61)) % 0.37/0.82 (step @p256 :rule instantiate :premises (@p2) :args ((@list @t37 @t19))) % 0.37/0.82 (step @p257 :rule trans :premises (@p256 @p255)) % 0.37/0.82 (step @p258 :rule cong :premises (@p61 @p257) :args ((tptp.add @t37 @t42))) % 0.37/0.82 (step @p259 :rule symm :premises (@p256)) % 0.37/0.82 (step @p260 :rule trans :premises (@p47 @p45 @p60)) % 0.37/0.82 (step @p261 :rule cong :premises (@p24 @p260) :args ((tptp.multiply (tptp.add @t19 tptp.additive_identity) @t20))) % 0.37/0.82 (step @p262 :rule instantiate :premises (@p3) :args (@t62)) % 0.37/0.82 (step @p263 :rule symm :premises (@p191)) % 0.37/0.82 (step @p264 :rule cong :premises (@p27 @p263) :args (@t28)) % 0.37/0.82 (step @p265 :rule symm :premises (@p28)) % 0.37/0.82 (step @p266 :rule trans :premises (@p23 @p265 @p264 @p262 @p261 @p259)) % 0.37/0.82 (step @p267 :rule cong :premises (@p60 @p266) :args (@t60)) % 0.37/0.82 (step @p268 :rule instantiate :premises (@p1) :args ((@list tptp.multiplicative_identity @t19))) % 0.37/0.82 (step @p269 :rule symm :premises (@p268)) % 0.37/0.82 (step @p270 :rule trans :premises (@p269 @p267 @p258 @p253 @p252 @p240 @p238 @p237 @p234 @p82 @p81)) % 0.37/0.82 (step @p271 :rule cong :premises (@p177 @p270) :args ((tptp.multiply tptp.b (tptp.add @t19 tptp.multiplicative_identity)))) % 0.37/0.82 (step @p272 :rule instantiate :premises (@p4) :args ((@list tptp.b @t19 tptp.multiplicative_identity))) % 0.37/0.82 (step @p273 :rule symm :premises (@p272)) % 0.37/0.82 (step @p274 :rule symm :premises (@p223)) % 0.37/0.82 (step @p275 :rule symm :premises (@p222)) % 0.37/0.82 (step @p276 :rule symm :premises (@p196)) % 0.37/0.82 (step @p277 :rule trans :premises (@p34 @p199 @p276 @p197 @p275 @p274 @p224)) % 0.37/0.82 (step @p278 :rule symm :premises (@p264)) % 0.37/0.82 (step @p279 :rule instantiate :premises (@p1) :args ((@list @t46 @t19))) % 0.37/0.82 (step @p280 :rule trans :premises (@p279 @p278 @p28 @p24)) % 0.37/0.82 (step @p281 :rule instantiate :premises (@p1) :args ((@list @t46 tptp.b))) % 0.37/0.82 (step @p282 :rule trans :premises (@p281 @p226)) % 0.37/0.82 (step @p283 :rule cong :premises (@p282 @p280) :args ((tptp.multiply (tptp.add @t46 tptp.b) (tptp.add @t46 @t19)))) % 0.37/0.82 (step @p284 :rule instantiate :premises (@p3) :args ((@list @t46 tptp.b @t19))) % 0.37/0.82 (step @p285 :rule instantiate :premises (@p2) :args ((@list tptp.b @t19))) % 0.37/0.82 (step @p286 :rule symm :premises (@p285)) % 0.37/0.82 (step @p287 :rule trans :premises (@p222 @p198 @p196 @p178 @p35)) % 0.37/0.82 (step @p288 :rule cong :premises (@p27 @p287) :args (@t63)) % 0.37/0.82 (step @p289 :rule cong :premises (@p27 @p223) :args (@t64)) % 0.37/0.82 (step @p290 :rule trans :premises (@p289 @p288 @p286)) % 0.37/0.82 (step @p291 :rule symm :premises (@p176)) % 0.37/0.82 (step @p292 :rule trans :premises (@p124 @p57 @p230 @p120 @p229 @p228 @p227 @p52 @p50 @p40)) % 0.37/0.82 (step @p293 :rule trans :premises (@p292 @p291)) % 0.37/0.82 (step @p294 :rule cong :premises (@p293 @p290) :args ((tptp.add @t44 @t64))) % 0.37/0.82 (step @p295 :rule symm :premises (@p289)) % 0.37/0.82 (step @p296 :rule symm :premises (@p292)) % 0.37/0.82 (step @p297 :rule instantiate :premises (@p64) :args (@t30)) % 0.37/0.82 (step @p298 :rule symm :premises (@p297)) % 0.37/0.82 (step @p299 :rule instantiate :premises (@p2) :args (@t31)) % 0.37/0.82 (step @p300 :rule symm :premises (@p299)) % 0.37/0.82 (step @p301 :rule trans :premises (@p300 @p298)) % 0.37/0.82 (step @p302 :rule cong :premises (@p124 @p301) :args ((tptp.add @t44 (tptp.multiply @t19 tptp.a)))) % 0.37/0.82 (step @p303 :rule instantiate :premises (@p4) :args (@t62)) % 0.37/0.82 (step @p304 :rule cong :premises (@p26 @p136) :args (@t65)) % 0.37/0.82 (step @p305 :rule trans :premises (@p28 @p24)) % 0.37/0.82 (step @p306 :rule instantiate :premises (@p1) :args ((@list @t19 @t27))) % 0.37/0.82 (step @p307 :rule symm :premises (@p306)) % 0.37/0.82 (step @p308 :rule trans :premises (@p307 @p305)) % 0.37/0.82 (step @p309 :rule cong :premises (@p308 @p304) :args ((tptp.multiply (tptp.add @t27 @t19) @t65))) % 0.37/0.82 (step @p310 :rule symm :premises (@p304)) % 0.37/0.82 (step @p311 :rule symm :premises (@p166)) % 0.37/0.82 (step @p312 :rule cong :premises (@p311 @p136) :args ((tptp.add @t47 tptp.a))) % 0.37/0.82 (step @p313 :rule instantiate :premises (@p1) :args ((@list @t47 tptp.a))) % 0.37/0.82 (step @p314 :rule symm :premises (@p313)) % 0.37/0.82 (step @p315 :rule cong :premises (@p136 @p166) :args (@t66)) % 0.37/0.82 (step @p316 :rule trans :premises (@p59 @p57 @p230 @p120 @p229 @p228 @p227 @p52 @p50 @p40)) % 0.37/0.82 (step @p317 :rule cong :premises (@p136 @p316) :args ((tptp.add tptp.a (tptp.multiply @t32 tptp.multiplicative_identity)))) % 0.37/0.82 (step @p318 :rule cong :premises (@p136 @p58) :args ((tptp.add tptp.a @t32))) % 0.37/0.82 (step @p319 :rule cong :premises (@p136 @p124) :args ((tptp.add tptp.a @t44))) % 0.37/0.82 (step @p320 :rule instantiate :premises (@p3) :args ((@list tptp.a @t19 tptp.additive_identity))) % 0.37/0.82 (step @p321 :rule symm :premises (@p320)) % 0.37/0.82 (step @p322 :rule refl :args (@t66)) % 0.37/0.82 (step @p323 :rule cong :premises (@p44 @p322) :args ((tptp.multiply tptp.multiplicative_identity @t66))) % 0.37/0.82 (step @p324 :rule instantiate :premises (@p22) :args (@t30)) % 0.37/0.82 (step @p325 :rule instantiate :premises (@p1) :args ((@list tptp.multiplicative_identity @t34))) % 0.37/0.82 (step @p326 :rule symm :premises (@p325)) % 0.37/0.82 (step @p327 :rule cong :premises (@p57 @p45) :args ((tptp.add @t32 (tptp.add tptp.a @t19)))) % 0.37/0.82 (step @p328 :rule trans :premises (@p327 @p326 @p237 @p234 @p82 @p81)) % 0.37/0.82 (step @p329 :rule symm :premises (@p327)) % 0.37/0.82 (step @p330 :rule instantiate :premises (@p2) :args ((@list tptp.multiplicative_identity @t32))) % 0.37/0.82 (step @p331 :rule trans :premises (@p330 @p59 @p57)) % 0.37/0.82 (step @p332 :rule cong :premises (@p67 @p331) :args ((tptp.add tptp.multiplicative_identity @t67))) % 0.37/0.82 (step @p333 :rule instantiate :premises (@p1) :args ((@list @t67 tptp.multiplicative_identity))) % 0.37/0.82 (step @p334 :rule trans :premises (@p333 @p332 @p325 @p329)) % 0.37/0.82 (step @p335 :rule symm :premises (@p333)) % 0.37/0.82 (step @p336 :rule symm :premises (@p332)) % 0.37/0.82 (step @p337 :rule trans :premises (@p336 @p335)) % 0.37/0.82 (step @p338 :rule trans :premises (@p337 @p334 @p328)) % 0.37/0.82 (step @p339 :rule cong :premises (@p338 @p324) :args ((tptp.multiply @t59 tptp.a))) % 0.37/0.82 (step @p340 :rule symm :premises (@p337)) % 0.37/0.82 (step @p341 :rule symm :premises (@p334)) % 0.37/0.82 (step @p342 :rule symm :premises (@p328)) % 0.37/0.82 (step @p343 :rule trans :premises (@p61 @p342 @p341 @p340)) % 0.37/0.82 (step @p344 :rule cong :premises (@p343 @p136) :args (@t41)) % 0.37/0.82 (step @p345 :rule trans :premises (@p344 @p339 @p323 @p321 @p319 @p318 @p317 @p315 @p314 @p312 @p310)) % 0.37/0.82 (step @p346 :rule symm :premises (@p308)) % 0.37/0.82 (step @p347 :rule cong :premises (@p346 @p345) :args (@t68)) % 0.37/0.82 (step @p348 :rule trans :premises (@p347 @p309 @p303 @p302 @p230 @p120 @p229 @p228 @p227 @p52 @p50 @p40)) % 0.37/0.82 (step @p349 :rule trans :premises (@p348 @p296)) % 0.37/0.82 (step @p350 :rule cong :premises (@p349 @p295) :args ((tptp.add @t68 @t63))) % 0.37/0.82 (step @p351 :rule instantiate :premises (@p1) :args ((@list @t63 @t68))) % 0.37/0.82 (step @p352 :rule instantiate :premises (@p4) :args ((@list @t19 @t56 @t41))) % 0.37/0.82 (step @p353 :rule instantiate :premises (@p4) :args ((@list @t37 tptp.b tptp.a))) % 0.37/0.82 (step @p354 :rule cong :premises (@p87 @p216) :args (@t38)) % 0.37/0.82 (step @p355 :rule trans :premises (@p246 @p69 @p71 @p73 @p245 @p354 @p353)) % 0.37/0.82 (step @p356 :rule cong :premises (@p27 @p355) :args (@t61)) % 0.37/0.82 (step @p357 :rule trans :premises (@p264 @p262 @p261 @p356 @p352 @p351 @p350 @p294 @p284 @p283)) % 0.37/0.82 (step @p358 :rule symm :premises (@p305)) % 0.37/0.82 (step @p359 :rule trans :premises (@p358 @p357)) % 0.37/0.82 (step @p360 :rule cong :premises (@p359 @p277) :args (@t21)) % 0.37/0.82 (step @p361 :rule trans :premises (@p360 @p273 @p271 @p225 @p223 @p222 @p198 @p196)) % 0.37/0.82 (step @p362 :rule trans :premises (@p361 @p226)) % 0.37/0.82 (step @p363 :rule cong :premises (@p362 @p48) :args (@t22)) % 0.37/0.82 (step @p364 :rule trans :premises (@p363 @p225 @p223 @p222 @p198 @p196 @p178 @p35)) % 0.37/0.82 (step @p365 :rule cong :premises (@p364 @p33) :args (@t25)) % 0.37/0.82 (step @p366 :rule trans :premises (@p365 @p19)) % 0.37/0.82 (step @p367 :rule eq_resolve :premises (@p366 @p18)) % 0.37/0.82 (step @p368 :rule false_elim :premises (@p367)) % 0.37/0.82 (assume-push @p375 @t8) % 0.37/0.82 (step @p370 :rule instantiate :premises (@p3) :args ((@list @t19 tptp.b tptp.a))) % 0.37/0.82 (step-pop @p376 :rule scope :premises (@p370)) % 0.37/0.82 (step @p371 :rule process_scope :premises (@p376) :args (@t24)) % 0.37/0.82 (step @p373 :rule implies_elim :premises (@p371)) % 0.37/0.82 (step @p374 false :rule chain_m_resolution :premises (@p373 @p368 @p3) :args (false (@list true false) (@list @t24 @t8))) % 0.37/0.82 ) % 0.37/0.82 % SZS output end Proof % 0.37/0.82 % cvc5 exiting %------------------------------------------------------------------------------