%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG008-7 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:45:21 AM UTC 2026 % Result : Unsatisfiable 16.01s 16.93s % Output : Proof 16.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : RNG008-7 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.12 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n007.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 13:55:11 EDT 2026 % 0.15/0.33 % 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... % 0.34/16.18 --- Run --no-e-matching --full-saturate-quant at 6... % 16.01/16.93 % SZS status Unsatisfiable % 16.01/16.93 % SZS output start Proof % 16.01/16.94 ( % 16.01/16.94 (declare-sort $$unsorted 0) % 16.01/16.94 (declare-const tptp.a $$unsorted) % 16.01/16.94 (declare-const tptp.b $$unsorted) % 16.01/16.94 (declare-const tptp.c $$unsorted) % 16.01/16.94 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 16.01/16.94 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 16.01/16.94 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 16.01/16.94 (declare-const tptp.additive_identity $$unsorted) % 16.01/16.94 (define @t1 () (@var "X" $$unsorted)) % 16.01/16.94 (define @t2 () (tptp.add tptp.additive_identity @t1)) % 16.01/16.94 (define @t3 () (@list @t1)) % 16.01/16.94 (define @t4 () (forall @t3 (= @t2 @t1))) % 16.01/16.94 (define @t5 () (tptp.add @t1 tptp.additive_identity)) % 16.01/16.94 (define @t6 () (forall @t3 (= @t5 @t1))) % 16.01/16.94 (define @t7 () (tptp.additive_inverse @t1)) % 16.01/16.94 (define @t8 () (tptp.add @t7 @t1)) % 16.01/16.94 (define @t9 () (forall @t3 (= @t8 tptp.additive_identity))) % 16.01/16.94 (define @t10 () (tptp.add @t1 @t7)) % 16.01/16.94 (define @t11 () (forall @t3 (= @t10 tptp.additive_identity))) % 16.01/16.94 (define @t12 () (@var "Z" $$unsorted)) % 16.01/16.94 (define @t13 () (@var "Y" $$unsorted)) % 16.01/16.94 (define @t14 () (tptp.add @t1 @t13)) % 16.01/16.94 (define @t15 () (tptp.add @t13 @t12)) % 16.01/16.94 (define @t16 () (@list @t1 @t13 @t12)) % 16.01/16.94 (define @t17 () (forall @t16 (= (tptp.add @t1 @t15) (tptp.add @t14 @t12)))) % 16.01/16.94 (define @t18 () (tptp.multiply @t1 @t13)) % 16.01/16.94 (define @t19 () (tptp.multiply @t13 @t12)) % 16.01/16.94 (define @t20 () (tptp.multiply @t1 @t12)) % 16.01/16.94 (define @t21 () (forall @t16 (= (tptp.multiply @t14 @t12) (tptp.add @t20 @t19)))) % 16.01/16.94 (define @t22 () (tptp.multiply @t1 @t1)) % 16.01/16.94 (define @t23 () (forall @t3 (= @t22 @t1))) % 16.01/16.94 (define @t24 () (tptp.multiply tptp.b tptp.a)) % 16.01/16.94 (define @t25 () (not (= @t24 tptp.c))) % 16.01/16.94 (define @t26 () (tptp.add tptp.b tptp.a)) % 16.01/16.94 (define @t27 () (tptp.multiply @t26 tptp.a)) % 16.01/16.94 (define @t28 () (tptp.multiply tptp.a tptp.a)) % 16.01/16.94 (define @t29 () (tptp.add @t28 @t27)) % 16.01/16.94 (define @t30 () (tptp.add tptp.a @t26)) % 16.01/16.94 (define @t31 () (tptp.multiply @t30 tptp.a)) % 16.01/16.94 (define @t32 () (= @t31 @t29)) % 16.01/16.94 (define @t33 () (= @t29 @t31)) % 16.01/16.94 (define @t34 () (= tptp.c @t24)) % 16.01/16.94 (define @t35 () (@list tptp.b)) % 16.01/16.94 (define @t36 () (@list tptp.additive_identity)) % 16.01/16.94 (define @t37 () (tptp.additive_inverse tptp.b)) % 16.01/16.94 (define @t38 () (tptp.add tptp.b @t37)) % 16.01/16.94 (define @t39 () (@list tptp.additive_identity tptp.b @t37)) % 16.01/16.94 (define @t40 () (tptp.multiply tptp.additive_identity @t37)) % 16.01/16.94 (define @t41 () (tptp.multiply tptp.additive_identity tptp.additive_identity)) % 16.01/16.94 (define @t42 () (tptp.multiply tptp.additive_identity tptp.b)) % 16.01/16.94 (define @t43 () (tptp.multiply tptp.b tptp.b)) % 16.01/16.94 (define @t44 () (@list @t37)) % 16.01/16.94 (define @t45 () (tptp.multiply @t41 @t37)) % 16.01/16.94 (define @t46 () (@list tptp.b @t37 @t37)) % 16.01/16.94 (define @t47 () (tptp.add tptp.additive_identity tptp.b)) % 16.01/16.94 (define @t48 () (tptp.multiply tptp.b @t37)) % 16.01/16.94 (define @t49 () (tptp.add @t37 @t43)) % 16.01/16.94 (define @t50 () (tptp.multiply tptp.b tptp.additive_identity)) % 16.01/16.94 (define @t51 () (tptp.add tptp.additive_identity @t37)) % 16.01/16.94 (define @t52 () (tptp.add @t37 @t37)) % 16.01/16.94 (define @t53 () (@list tptp.a)) % 16.01/16.94 (define @t54 () (tptp.additive_inverse tptp.a)) % 16.01/16.94 (define @t55 () (tptp.add tptp.a @t54)) % 16.01/16.94 (define @t56 () (@list @t54)) % 16.01/16.94 (define @t57 () (@list tptp.a @t54 @t54)) % 16.01/16.94 (define @t58 () (tptp.multiply tptp.a tptp.additive_identity)) % 16.01/16.94 (define @t59 () (tptp.additive_inverse @t58)) % 16.01/16.94 (define @t60 () (@list tptp.additive_identity tptp.a tptp.additive_identity)) % 16.01/16.94 (define @t61 () (tptp.multiply tptp.a @t54)) % 16.01/16.94 (define @t62 () (@list tptp.additive_identity tptp.a @t54)) % 16.01/16.94 (define @t63 () (tptp.multiply tptp.additive_identity @t54)) % 16.01/16.94 (define @t64 () (tptp.multiply @t41 tptp.a)) % 16.01/16.94 (define @t65 () (tptp.add tptp.a tptp.additive_identity)) % 16.01/16.94 (define @t66 () (tptp.multiply tptp.additive_identity tptp.a)) % 16.01/16.94 (define @t67 () (tptp.additive_inverse @t24)) % 16.01/16.94 (define @t68 () (tptp.add @t24 @t67)) % 16.01/16.94 (define @t69 () (@list tptp.b tptp.b tptp.a)) % 16.01/16.94 (define @t70 () (@list tptp.additive_identity tptp.b tptp.a)) % 16.01/16.94 (define @t71 () (tptp.multiply tptp.b @t24)) % 16.01/16.94 (define @t72 () (tptp.add tptp.a @t37)) % 16.01/16.94 (define @t73 () (tptp.add tptp.a @t72)) % 16.01/16.94 (define @t74 () (tptp.add tptp.a tptp.a)) % 16.01/16.94 (define @t75 () (tptp.add @t74 @t37)) % 16.01/16.94 (define @t76 () (= @t73 @t75)) % 16.01/16.94 (define @t77 () (tptp.multiply tptp.a @t26)) % 16.01/16.94 (define @t78 () (tptp.add tptp.b tptp.b)) % 16.01/16.94 (define @t79 () (tptp.multiply tptp.b @t26)) % 16.01/16.94 (define @t80 () (tptp.add tptp.b @t24)) % 16.01/16.94 (define @t81 () (tptp.add @t80 @t79)) % 16.01/16.94 (define @t82 () (tptp.add tptp.a tptp.b)) % 16.01/16.94 (assume @p1 @t4) % 16.01/16.94 (assume @p2 @t6) % 16.01/16.94 (assume @p3 @t9) % 16.01/16.94 (assume @p4 @t11) % 16.01/16.94 (assume @p5 @t17) % 16.01/16.94 (assume @p6 (forall (@list @t1 @t13) (= @t14 (tptp.add @t13 @t1)))) % 16.01/16.94 (assume @p7 (forall @t16 (= (tptp.multiply @t1 @t19) (tptp.multiply @t18 @t12)))) % 16.01/16.94 (assume @p8 (forall @t16 (= (tptp.multiply @t1 @t15) (tptp.add @t18 @t20)))) % 16.01/16.94 (assume @p9 @t21) % 16.01/16.94 (assume @p10 @t23) % 16.01/16.94 (assume @p11 (= (tptp.multiply tptp.a tptp.b) tptp.c)) % 16.01/16.94 (assume @p12 @t25) % 16.01/16.94 (step @p13 :rule bool-eq-false :args (@t32)) % 16.01/16.94 (step @p14 :rule symm :premises (@p13)) % 16.01/16.94 (step @p15 :rule eq-symm :args (@t29 @t31)) % 16.01/16.94 (step @p16 :rule cong :premises (@p15) :args ((not @t33))) % 16.01/16.94 (step @p17 :rule bool-eq-false :args (@t33)) % 16.01/16.94 (step @p18 :rule trans :premises (@p17 @p16)) % 16.01/16.94 (step @p19 :rule trans :premises (@p18 @p14)) % 16.01/16.94 (step @p20 :rule refl :args (@t24)) % 16.01/16.94 (step @p21 :rule symm :premises (@p11)) % 16.01/16.94 (step @p22 :rule cong :premises (@p21 @p20) :args (@t34)) % 16.01/16.94 (step @p23 :rule cong :premises (@p22) :args ((not @t34))) % 16.01/16.94 (step @p24 :rule eq-symm :args (@t24 tptp.c)) % 16.01/16.94 (step @p25 :rule cong :premises (@p24) :args (@t25)) % 16.01/16.94 (step @p26 :rule trans :premises (@p25 @p23)) % 16.01/16.94 (step @p27 :rule eq_resolve :premises (@p12 @p26)) % 16.01/16.94 (step @p28 :rule false_intro :premises (@p27)) % 16.01/16.94 (step @p29 :rule refl :args (tptp.a)) % 16.01/16.94 (step @p30 :rule eq-symm :args (@t5 @t1)) % 16.01/16.94 (step @p31 :rule cong :premises (@p30) :args (@t6)) % 16.01/16.94 (step @p32 :rule eq_resolve :premises (@p2 @p31)) % 16.01/16.94 (step @p33 :rule instantiate :premises (@p32) :args (@t35)) % 16.01/16.94 (step @p34 :rule symm :premises (@p33)) % 16.01/16.94 (step @p35 :rule eq-symm :args (@t22 @t1)) % 16.01/16.94 (step @p36 :rule cong :premises (@p35) :args (@t23)) % 16.01/16.94 (step @p37 :rule eq_resolve :premises (@p10 @p36)) % 16.01/16.94 (step @p38 :rule instantiate :premises (@p37) :args (@t36)) % 16.01/16.94 (step @p39 :rule symm :premises (@p38)) % 16.01/16.94 (step @p40 :rule eq-symm :args (@t10 tptp.additive_identity)) % 16.01/16.94 (step @p41 :rule cong :premises (@p40) :args (@t11)) % 16.01/16.94 (step @p42 :rule eq_resolve :premises (@p4 @p41)) % 16.01/16.94 (step @p43 :rule instantiate :premises (@p42) :args (@t35)) % 16.01/16.94 (step @p44 :rule symm :premises (@p43)) % 16.01/16.94 (step @p45 :rule refl :args (tptp.additive_identity)) % 16.01/16.94 (step @p46 :rule cong :premises (@p45 @p44) :args ((tptp.multiply tptp.additive_identity @t38))) % 16.01/16.94 (step @p47 :rule instantiate :premises (@p8) :args (@t39)) % 16.01/16.94 (step @p48 :rule symm :premises (@p47)) % 16.01/16.94 (step @p49 :rule refl :args (@t40)) % 16.01/16.94 (step @p50 :rule refl :args (tptp.b)) % 16.01/16.94 (step @p51 :rule cong :premises (@p39 @p50) :args ((tptp.multiply @t41 tptp.b))) % 16.01/16.94 (step @p52 :rule cong :premises (@p38 @p34) :args ((tptp.multiply tptp.additive_identity (tptp.add tptp.b tptp.additive_identity)))) % 16.01/16.94 (step @p53 :rule instantiate :premises (@p8) :args ((@list tptp.additive_identity tptp.b tptp.additive_identity))) % 16.01/16.94 (step @p54 :rule symm :premises (@p53)) % 16.01/16.94 (step @p55 :rule trans :premises (@p44 @p38)) % 16.01/16.94 (step @p56 :rule refl :args (@t42)) % 16.01/16.94 (step @p57 :rule cong :premises (@p56 @p55) :args ((tptp.add @t42 @t38))) % 16.01/16.94 (step @p58 :rule instantiate :premises (@p5) :args ((@list @t42 tptp.b @t37))) % 16.01/16.94 (step @p59 :rule symm :premises (@p58)) % 16.01/16.94 (step @p60 :rule refl :args (@t37)) % 16.01/16.94 (step @p61 :rule instantiate :premises (@p37) :args (@t35)) % 16.01/16.94 (step @p62 :rule symm :premises (@p61)) % 16.01/16.94 (step @p63 :rule cong :premises (@p56 @p62) :args ((tptp.add @t42 @t43))) % 16.01/16.94 (step @p64 :rule instantiate :premises (@p9) :args ((@list tptp.additive_identity tptp.b tptp.b))) % 16.01/16.94 (step @p65 :rule eq-symm :args (@t2 @t1)) % 16.01/16.94 (step @p66 :rule cong :premises (@p65) :args (@t4)) % 16.01/16.94 (step @p67 :rule eq_resolve :premises (@p1 @p66)) % 16.01/16.94 (step @p68 :rule instantiate :premises (@p67) :args (@t35)) % 16.01/16.94 (step @p69 :rule cong :premises (@p68 @p50) :args (@t43)) % 16.01/16.94 (step @p70 :rule trans :premises (@p61 @p69 @p64 @p63)) % 16.01/16.94 (step @p71 :rule cong :premises (@p70 @p60) :args (@t38)) % 16.01/16.94 (step @p72 :rule trans :premises (@p43 @p71 @p59 @p57 @p54 @p52 @p51)) % 16.01/16.94 (step @p73 :rule trans :premises (@p39 @p72)) % 16.01/16.94 (step @p74 :rule cong :premises (@p73 @p49) :args ((tptp.add @t41 @t40))) % 16.01/16.94 (step @p75 :rule instantiate :premises (@p8) :args ((@list tptp.additive_identity tptp.additive_identity @t37))) % 16.01/16.94 (step @p76 :rule instantiate :premises (@p67) :args (@t44)) % 16.01/16.94 (step @p77 :rule cong :premises (@p39 @p76) :args (@t45)) % 16.01/16.94 (step @p78 :rule cong :premises (@p55 @p60) :args ((tptp.multiply @t38 @t37))) % 16.01/16.94 (step @p79 :rule instantiate :premises (@p9) :args (@t46)) % 16.01/16.94 (step @p80 :rule symm :premises (@p79)) % 16.01/16.94 (step @p81 :rule instantiate :premises (@p37) :args (@t44)) % 16.01/16.94 (step @p82 :rule symm :premises (@p68)) % 16.01/16.94 (step @p83 :rule cong :premises (@p82 @p60) :args ((tptp.multiply @t47 @t37))) % 16.01/16.94 (step @p84 :rule instantiate :premises (@p9) :args (@t39)) % 16.01/16.94 (step @p85 :rule symm :premises (@p84)) % 16.01/16.94 (step @p86 :rule refl :args (@t48)) % 16.01/16.94 (step @p87 :rule cong :premises (@p39 @p60) :args (@t45)) % 16.01/16.94 (step @p88 :rule symm :premises (@p77)) % 16.01/16.94 (step @p89 :rule symm :premises (@p75)) % 16.01/16.94 (step @p90 :rule symm :premises (@p74)) % 16.01/16.94 (step @p91 :rule symm :premises (@p46)) % 16.01/16.94 (step @p92 :rule trans :premises (@p38 @p91 @p47 @p90 @p89 @p88 @p87)) % 16.01/16.94 (step @p93 :rule eq-symm :args (@t8 tptp.additive_identity)) % 16.01/16.94 (step @p94 :rule cong :premises (@p93) :args (@t9)) % 16.01/16.94 (step @p95 :rule eq_resolve :premises (@p3 @p94)) % 16.01/16.94 (step @p96 :rule instantiate :premises (@p95) :args (@t35)) % 16.01/16.94 (step @p97 :rule symm :premises (@p96)) % 16.01/16.94 (step @p98 :rule cong :premises (@p60 @p62) :args (@t49)) % 16.01/16.94 (step @p99 :rule trans :premises (@p98 @p97)) % 16.01/16.94 (step @p100 :rule trans :premises (@p99 @p92)) % 16.01/16.94 (step @p101 :rule cong :premises (@p100 @p86) :args ((tptp.add @t49 @t48))) % 16.01/16.94 (step @p102 :rule instantiate :premises (@p5) :args ((@list @t37 @t43 @t48))) % 16.01/16.94 (step @p103 :rule instantiate :premises (@p8) :args ((@list tptp.b tptp.b @t37))) % 16.01/16.94 (step @p104 :rule cong :premises (@p50 @p43) :args (@t50)) % 16.01/16.94 (step @p105 :rule instantiate :premises (@p32) :args ((@list @t50))) % 16.01/16.94 (step @p106 :rule symm :premises (@p105)) % 16.01/16.94 (step @p107 :rule refl :args (@t50)) % 16.01/16.94 (step @p108 :rule cong :premises (@p107 @p44) :args ((tptp.add @t50 @t38))) % 16.01/16.94 (step @p109 :rule instantiate :premises (@p5) :args ((@list @t50 tptp.b @t37))) % 16.01/16.94 (step @p110 :rule symm :premises (@p109)) % 16.01/16.94 (step @p111 :rule cong :premises (@p107 @p62) :args ((tptp.add @t50 @t43))) % 16.01/16.94 (step @p112 :rule instantiate :premises (@p8) :args ((@list tptp.b tptp.additive_identity tptp.b))) % 16.01/16.94 (step @p113 :rule cong :premises (@p50 @p68) :args (@t43)) % 16.01/16.94 (step @p114 :rule trans :premises (@p61 @p113 @p112 @p111)) % 16.01/16.94 (step @p115 :rule cong :premises (@p114 @p60) :args (@t38)) % 16.01/16.94 (step @p116 :rule trans :premises (@p43 @p115 @p110 @p108 @p106 @p104 @p103)) % 16.01/16.94 (step @p117 :rule cong :premises (@p60 @p116) :args ((tptp.add @t37 tptp.additive_identity))) % 16.01/16.94 (step @p118 :rule instantiate :premises (@p32) :args (@t44)) % 16.01/16.94 (step @p119 :rule trans :premises (@p118 @p117 @p102 @p101 @p85 @p83)) % 16.01/16.94 (step @p120 :rule symm :premises (@p76)) % 16.01/16.94 (step @p121 :rule trans :premises (@p120 @p119)) % 16.01/16.94 (step @p122 :rule cong :premises (@p121 @p81) :args ((tptp.add @t51 @t37))) % 16.01/16.94 (step @p123 :rule cong :premises (@p76 @p60) :args (@t52)) % 16.01/16.94 (step @p124 :rule trans :premises (@p123 @p122 @p80 @p78 @p77 @p75 @p74 @p48 @p46 @p39)) % 16.01/16.94 (step @p125 :rule cong :premises (@p50 @p124) :args ((tptp.add tptp.b @t52))) % 16.01/16.94 (step @p126 :rule instantiate :premises (@p5) :args (@t46)) % 16.01/16.94 (step @p127 :rule symm :premises (@p126)) % 16.01/16.94 (step @p128 :rule cong :premises (@p43 @p60) :args (@t51)) % 16.01/16.94 (step @p129 :rule symm :premises (@p118)) % 16.01/16.94 (step @p130 :rule instantiate :premises (@p42) :args (@t53)) % 16.01/16.94 (step @p131 :rule symm :premises (@p130)) % 16.01/16.94 (step @p132 :rule cong :premises (@p60 @p131) :args ((tptp.add @t37 @t55))) % 16.01/16.94 (step @p133 :rule instantiate :premises (@p5) :args ((@list @t37 tptp.a @t54))) % 16.01/16.94 (step @p134 :rule symm :premises (@p133)) % 16.01/16.94 (step @p135 :rule instantiate :premises (@p67) :args (@t56)) % 16.01/16.94 (step @p136 :rule symm :premises (@p135)) % 16.01/16.94 (step @p137 :rule refl :args (@t54)) % 16.01/16.94 (step @p138 :rule cong :premises (@p131 @p137) :args ((tptp.add @t55 @t54))) % 16.01/16.94 (step @p139 :rule instantiate :premises (@p5) :args (@t57)) % 16.01/16.94 (step @p140 :rule cong :premises (@p136 @p137) :args ((tptp.add (tptp.add tptp.additive_identity @t54) @t54))) % 16.01/16.94 (step @p141 :rule instantiate :premises (@p37) :args (@t56)) % 16.01/16.94 (step @p142 :rule symm :premises (@p141)) % 16.01/16.94 (step @p143 :rule instantiate :premises (@p32) :args (@t56)) % 16.01/16.94 (step @p144 :rule symm :premises (@p143)) % 16.01/16.94 (step @p145 :rule instantiate :premises (@p95) :args ((@list @t58))) % 16.01/16.94 (step @p146 :rule symm :premises (@p145)) % 16.01/16.94 (step @p147 :rule instantiate :premises (@p67) :args (@t36)) % 16.01/16.94 (step @p148 :rule symm :premises (@p147)) % 16.01/16.94 (step @p149 :rule cong :premises (@p29 @p148) :args ((tptp.multiply tptp.a (tptp.add tptp.additive_identity tptp.additive_identity)))) % 16.01/16.94 (step @p150 :rule instantiate :premises (@p8) :args ((@list tptp.a tptp.additive_identity tptp.additive_identity))) % 16.01/16.94 (step @p151 :rule symm :premises (@p150)) % 16.01/16.94 (step @p152 :rule trans :premises (@p151 @p149)) % 16.01/16.94 (step @p153 :rule refl :args (@t59)) % 16.01/16.94 (step @p154 :rule cong :premises (@p153 @p152) :args ((tptp.add @t59 (tptp.add @t58 @t58)))) % 16.01/16.94 (step @p155 :rule instantiate :premises (@p5) :args ((@list @t59 @t58 @t58))) % 16.01/16.94 (step @p156 :rule symm :premises (@p155)) % 16.01/16.94 (step @p157 :rule refl :args (@t58)) % 16.01/16.94 (step @p158 :rule trans :premises (@p39 @p145)) % 16.01/16.94 (step @p159 :rule cong :premises (@p158 @p157) :args ((tptp.add @t41 @t58))) % 16.01/16.94 (step @p160 :rule instantiate :premises (@p9) :args (@t60)) % 16.01/16.94 (step @p161 :rule instantiate :premises (@p67) :args (@t53)) % 16.01/16.94 (step @p162 :rule cong :premises (@p161 @p45) :args (@t58)) % 16.01/16.94 (step @p163 :rule cong :premises (@p29 @p131) :args ((tptp.multiply tptp.a @t55))) % 16.01/16.94 (step @p164 :rule instantiate :premises (@p8) :args ((@list tptp.a tptp.a @t54))) % 16.01/16.94 (step @p165 :rule symm :premises (@p164)) % 16.01/16.94 (step @p166 :rule trans :premises (@p165 @p163 @p162 @p160 @p159 @p156 @p154 @p146)) % 16.01/16.94 (step @p167 :rule cong :premises (@p137 @p166) :args ((tptp.add @t54 (tptp.add @t28 @t61)))) % 16.01/16.94 (step @p168 :rule instantiate :premises (@p5) :args ((@list @t54 @t28 @t61))) % 16.01/16.94 (step @p169 :rule symm :premises (@p168)) % 16.01/16.94 (step @p170 :rule refl :args (@t61)) % 16.01/16.94 (step @p171 :rule instantiate :premises (@p37) :args (@t53)) % 16.01/16.94 (step @p172 :rule cong :premises (@p137 @p171) :args ((tptp.add @t54 tptp.a))) % 16.01/16.94 (step @p173 :rule instantiate :premises (@p95) :args (@t53)) % 16.01/16.94 (step @p174 :rule trans :premises (@p173 @p172)) % 16.01/16.94 (step @p175 :rule cong :premises (@p45 @p131) :args ((tptp.multiply tptp.additive_identity @t55))) % 16.01/16.94 (step @p176 :rule instantiate :premises (@p8) :args (@t62)) % 16.01/16.94 (step @p177 :rule symm :premises (@p176)) % 16.01/16.94 (step @p178 :rule refl :args (@t63)) % 16.01/16.94 (step @p179 :rule cong :premises (@p39 @p29) :args (@t64)) % 16.01/16.94 (step @p180 :rule symm :premises (@p161)) % 16.01/16.94 (step @p181 :rule instantiate :premises (@p6) :args ((@list tptp.additive_identity tptp.a))) % 16.01/16.94 (step @p182 :rule symm :premises (@p181)) % 16.01/16.94 (step @p183 :rule trans :premises (@p182 @p180)) % 16.01/16.94 (step @p184 :rule cong :premises (@p38 @p183) :args ((tptp.multiply tptp.additive_identity @t65))) % 16.01/16.94 (step @p185 :rule instantiate :premises (@p8) :args (@t60)) % 16.01/16.94 (step @p186 :rule symm :premises (@p185)) % 16.01/16.94 (step @p187 :rule instantiate :premises (@p42) :args ((@list @t24))) % 16.01/16.94 (step @p188 :rule symm :premises (@p187)) % 16.01/16.94 (step @p189 :rule trans :premises (@p188 @p38)) % 16.01/16.94 (step @p190 :rule refl :args (@t66)) % 16.01/16.94 (step @p191 :rule cong :premises (@p190 @p189) :args ((tptp.add @t66 @t68))) % 16.01/16.94 (step @p192 :rule instantiate :premises (@p5) :args ((@list @t66 @t24 @t67))) % 16.01/16.94 (step @p193 :rule symm :premises (@p192)) % 16.01/16.94 (step @p194 :rule refl :args (@t67)) % 16.01/16.94 (step @p195 :rule cong :premises (@p62 @p29) :args ((tptp.multiply @t43 tptp.a))) % 16.01/16.94 (step @p196 :rule instantiate :premises (@p7) :args (@t69)) % 16.01/16.94 (step @p197 :rule trans :premises (@p196 @p195)) % 16.01/16.94 (step @p198 :rule symm :premises (@p73)) % 16.01/16.94 (step @p199 :rule cong :premises (@p198 @p29) :args ((tptp.multiply @t42 tptp.a))) % 16.01/16.94 (step @p200 :rule instantiate :premises (@p7) :args (@t70)) % 16.01/16.94 (step @p201 :rule trans :premises (@p200 @p199 @p179)) % 16.01/16.94 (step @p202 :rule cong :premises (@p201 @p197) :args ((tptp.add (tptp.multiply tptp.additive_identity @t24) @t71))) % 16.01/16.94 (step @p203 :rule instantiate :premises (@p9) :args ((@list tptp.additive_identity tptp.b @t24))) % 16.01/16.94 (step @p204 :rule cong :premises (@p68 @p20) :args (@t71)) % 16.01/16.94 (step @p205 :rule symm :premises (@p196)) % 16.01/16.94 (step @p206 :rule symm :premises (@p195)) % 16.01/16.94 (step @p207 :rule trans :premises (@p206 @p205 @p204 @p203 @p202)) % 16.01/16.94 (step @p208 :rule cong :premises (@p207 @p194) :args (@t68)) % 16.01/16.94 (step @p209 :rule trans :premises (@p187 @p208 @p193 @p191 @p186 @p184 @p179)) % 16.01/16.94 (step @p210 :rule trans :premises (@p39 @p209)) % 16.01/16.94 (step @p211 :rule cong :premises (@p210 @p178) :args ((tptp.add @t41 @t63))) % 16.01/16.94 (step @p212 :rule instantiate :premises (@p8) :args ((@list tptp.additive_identity tptp.additive_identity @t54))) % 16.01/16.94 (step @p213 :rule cong :premises (@p45 @p135) :args (@t63)) % 16.01/16.94 (step @p214 :rule trans :premises (@p213 @p212 @p211 @p177 @p175 @p39)) % 16.01/16.94 (step @p215 :rule trans :premises (@p214 @p174)) % 16.01/16.94 (step @p216 :rule cong :premises (@p215 @p170) :args ((tptp.add @t63 @t61))) % 16.01/16.94 (step @p217 :rule instantiate :premises (@p9) :args (@t62)) % 16.01/16.94 (step @p218 :rule cong :premises (@p161 @p137) :args (@t61)) % 16.01/16.94 (step @p219 :rule trans :premises (@p218 @p217 @p216 @p169 @p167 @p144)) % 16.01/16.94 (step @p220 :rule trans :premises (@p219 @p135)) % 16.01/16.94 (step @p221 :rule cong :premises (@p220 @p142) :args ((tptp.add @t61 (tptp.multiply @t54 @t54)))) % 16.01/16.94 (step @p222 :rule instantiate :premises (@p9) :args (@t57)) % 16.01/16.94 (step @p223 :rule cong :premises (@p130 @p137) :args (@t63)) % 16.01/16.94 (step @p224 :rule symm :premises (@p213)) % 16.01/16.94 (step @p225 :rule symm :premises (@p212)) % 16.01/16.94 (step @p226 :rule symm :premises (@p211)) % 16.01/16.94 (step @p227 :rule symm :premises (@p175)) % 16.01/16.94 (step @p228 :rule trans :premises (@p38 @p227 @p176 @p226 @p225 @p224 @p223 @p222 @p221 @p140)) % 16.01/16.94 (step @p229 :rule cong :premises (@p29 @p228) :args (@t65)) % 16.01/16.94 (step @p230 :rule trans :premises (@p161 @p181 @p229 @p139 @p138 @p136)) % 16.01/16.94 (step @p231 :rule instantiate :premises (@p6) :args ((@list tptp.a @t37))) % 16.01/16.94 (step @p232 :rule cong :premises (@p231 @p230) :args ((tptp.add @t72 tptp.a))) % 16.01/16.94 (step @p233 :rule instantiate :premises (@p5) :args ((@list tptp.a @t37 tptp.a))) % 16.01/16.94 (step @p234 :rule cong :premises (@p29 @p231) :args (@t73)) % 16.01/16.94 (step @p235 :rule eq-symm :args (@t73 @t75)) % 16.01/16.94 (step @p236 :rule refl :args (@t17)) % 16.01/16.94 (step @p237 :rule cong :premises (@p236 @p235) :args ((=> @t17 @t76))) % 16.01/16.94 (assume-push @p331 @t17) % 16.01/16.94 (step @p239 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.a @t37))) % 16.01/16.94 (step-pop @p332 :rule scope :premises (@p239)) % 16.01/16.94 (step @p240 :rule process_scope :premises (@p332) :args (@t76)) % 16.01/16.94 (step @p242 :rule eq_resolve :premises (@p240 @p237)) % 16.01/16.94 (step @p243 :rule implies_elim :premises (@p242)) % 16.01/16.94 (step @p244 :rule chain_m_resolution :premises (@p243 @p5) :args ((= @t75 @t73) (@list false) (@list @t17))) % 16.01/16.94 (step @p245 :rule symm :premises (@p128)) % 16.01/16.94 (step @p246 :rule symm :premises (@p125)) % 16.01/16.94 (step @p247 :rule trans :premises (@p33 @p246 @p126 @p245 @p120)) % 16.01/16.94 (step @p248 :rule refl :args (@t74)) % 16.01/16.94 (step @p249 :rule cong :premises (@p248 @p247) :args ((tptp.add @t74 tptp.b))) % 16.01/16.94 (step @p250 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.a tptp.b))) % 16.01/16.94 (step @p251 :rule instantiate :premises (@p6) :args ((@list tptp.b tptp.a))) % 16.01/16.94 (step @p252 :rule cong :premises (@p29 @p251) :args (@t30)) % 16.01/16.94 (step @p253 :rule trans :premises (@p252 @p250 @p249 @p244 @p234 @p233 @p232 @p134 @p132 @p129 @p76 @p128 @p127 @p125 @p34)) % 16.01/16.94 (step @p254 :rule cong :premises (@p253 @p29) :args (@t31)) % 16.01/16.94 (step @p255 :rule cong :premises (@p29 @p253) :args ((tptp.multiply tptp.a @t30))) % 16.01/16.94 (step @p256 :rule instantiate :premises (@p8) :args ((@list tptp.a tptp.a @t26))) % 16.01/16.94 (step @p257 :rule symm :premises (@p256)) % 16.01/16.94 (step @p258 :rule refl :args (@t26)) % 16.01/16.94 (step @p259 :rule cong :premises (@p180 @p258) :args ((tptp.multiply (tptp.add tptp.additive_identity tptp.a) @t26))) % 16.01/16.94 (step @p260 :rule instantiate :premises (@p9) :args ((@list tptp.additive_identity tptp.a @t26))) % 16.01/16.94 (step @p261 :rule symm :premises (@p260)) % 16.01/16.94 (step @p262 :rule refl :args (@t77)) % 16.01/16.94 (step @p263 :rule instantiate :premises (@p8) :args (@t70)) % 16.01/16.94 (step @p264 :rule symm :premises (@p263)) % 16.01/16.94 (step @p265 :rule cong :premises (@p73 @p190) :args ((tptp.add @t41 @t66))) % 16.01/16.94 (step @p266 :rule instantiate :premises (@p8) :args ((@list tptp.additive_identity tptp.additive_identity tptp.a))) % 16.01/16.94 (step @p267 :rule cong :premises (@p39 @p161) :args (@t64)) % 16.01/16.94 (step @p268 :rule trans :premises (@p187 @p208 @p193 @p191 @p186 @p184 @p267 @p266 @p265 @p264)) % 16.01/16.94 (step @p269 :rule symm :premises (@p208)) % 16.01/16.94 (step @p270 :rule symm :premises (@p191)) % 16.01/16.94 (step @p271 :rule symm :premises (@p184)) % 16.01/16.94 (step @p272 :rule symm :premises (@p267)) % 16.01/16.94 (step @p273 :rule symm :premises (@p266)) % 16.01/16.94 (step @p274 :rule symm :premises (@p265)) % 16.01/16.94 (step @p275 :rule symm :premises (@p115)) % 16.01/16.94 (step @p276 :rule trans :premises (@p82 @p114)) % 16.01/16.94 (step @p277 :rule cong :premises (@p276 @p247) :args ((tptp.add @t47 tptp.b))) % 16.01/16.94 (step @p278 :rule cong :premises (@p68 @p50) :args (@t78)) % 16.01/16.94 (step @p279 :rule trans :premises (@p278 @p277 @p275 @p44)) % 16.01/16.94 (step @p280 :rule cong :premises (@p279 @p258) :args ((tptp.multiply @t78 @t26))) % 16.01/16.94 (step @p281 :rule instantiate :premises (@p9) :args ((@list tptp.b tptp.b @t26))) % 16.01/16.94 (step @p282 :rule symm :premises (@p281)) % 16.01/16.94 (step @p283 :rule refl :args (@t79)) % 16.01/16.94 (step @p284 :rule instantiate :premises (@p8) :args (@t69)) % 16.01/16.94 (step @p285 :rule symm :premises (@p284)) % 16.01/16.94 (step @p286 :rule cong :premises (@p61 @p20) :args (@t80)) % 16.01/16.94 (step @p287 :rule trans :premises (@p286 @p285)) % 16.01/16.94 (step @p288 :rule cong :premises (@p287 @p283) :args (@t81)) % 16.01/16.94 (step @p289 :rule trans :premises (@p288 @p282 @p280 @p263 @p274 @p273 @p272 @p271 @p185 @p270 @p192 @p269 @p188)) % 16.01/16.94 (step @p290 :rule trans :premises (@p289 @p268)) % 16.01/16.94 (step @p291 :rule cong :premises (@p290 @p262) :args ((tptp.add @t81 @t77))) % 16.01/16.94 (step @p292 :rule instantiate :premises (@p5) :args ((@list @t80 @t79 @t77))) % 16.01/16.94 (step @p293 :rule instantiate :premises (@p9) :args ((@list tptp.b tptp.a @t26))) % 16.01/16.94 (step @p294 :rule instantiate :premises (@p37) :args ((@list @t26))) % 16.01/16.94 (step @p295 :rule trans :premises (@p294 @p293)) % 16.01/16.94 (step @p296 :rule refl :args (@t80)) % 16.01/16.94 (step @p297 :rule cong :premises (@p296 @p295) :args ((tptp.add @t80 @t26))) % 16.01/16.94 (step @p298 :rule instantiate :premises (@p5) :args ((@list tptp.b @t24 @t26))) % 16.01/16.94 (step @p299 :rule instantiate :premises (@p6) :args ((@list @t26 @t24))) % 16.01/16.94 (step @p300 :rule cong :premises (@p50 @p299) :args ((tptp.add tptp.b (tptp.add @t26 @t24)))) % 16.01/16.94 (step @p301 :rule instantiate :premises (@p5) :args ((@list tptp.b @t26 @t24))) % 16.01/16.94 (step @p302 :rule symm :premises (@p301)) % 16.01/16.94 (step @p303 :rule symm :premises (@p251)) % 16.01/16.94 (step @p304 :rule cong :premises (@p50 @p303) :args ((tptp.add tptp.b @t82))) % 16.01/16.94 (step @p305 :rule instantiate :premises (@p5) :args ((@list tptp.b tptp.a tptp.b))) % 16.01/16.94 (step @p306 :rule symm :premises (@p305)) % 16.01/16.94 (step @p307 :rule symm :premises (@p247)) % 16.01/16.94 (step @p308 :rule cong :premises (@p303 @p307) :args ((tptp.add @t82 @t37))) % 16.01/16.94 (step @p309 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.b @t37))) % 16.01/16.94 (step @p310 :rule cong :premises (@p29 @p43) :args (@t65)) % 16.01/16.94 (step @p311 :rule trans :premises (@p161 @p181 @p310 @p309 @p308 @p306 @p304)) % 16.01/16.94 (step @p312 :rule symm :premises (@p171)) % 16.01/16.94 (step @p313 :rule trans :premises (@p312 @p311)) % 16.01/16.94 (step @p314 :rule cong :premises (@p313 @p20) :args ((tptp.add @t28 @t24))) % 16.01/16.94 (step @p315 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.b tptp.a))) % 16.01/16.94 (step @p316 :rule cong :premises (@p251 @p29) :args (@t27)) % 16.01/16.94 (step @p317 :rule trans :premises (@p316 @p315 @p314 @p302 @p300 @p298 @p297 @p292 @p291 @p261 @p259)) % 16.01/16.94 (step @p318 :rule refl :args (@t28)) % 16.01/16.94 (step @p319 :rule cong :premises (@p318 @p317) :args (@t29)) % 16.01/16.94 (step @p320 :rule trans :premises (@p319 @p257 @p255)) % 16.01/16.94 (step @p321 :rule cong :premises (@p320 @p254) :args (@t33)) % 16.01/16.94 (step @p322 :rule trans :premises (@p321 @p28)) % 16.01/16.94 (step @p323 :rule eq_resolve :premises (@p322 @p19)) % 16.01/16.94 (step @p324 :rule false_elim :premises (@p323)) % 16.01/16.94 (assume-push @p333 @t21) % 16.01/16.94 (step @p326 :rule instantiate :premises (@p9) :args ((@list tptp.a @t26 tptp.a))) % 16.01/16.94 (step-pop @p334 :rule scope :premises (@p326)) % 16.01/16.94 (step @p327 :rule process_scope :premises (@p334) :args (@t32)) % 16.01/16.94 (step @p329 :rule implies_elim :premises (@p327)) % 16.01/16.94 (step @p330 false :rule chain_m_resolution :premises (@p329 @p324 @p9) :args (false (@list true false) (@list @t32 @t21))) % 16.01/16.94 ) % 16.01/16.94 % SZS output end Proof % 16.01/16.94 % cvc5 exiting %------------------------------------------------------------------------------