%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO022-1 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:09:05 AM UTC 2026 % Result : Unsatisfiable 0.71s 0.96s % Output : Proof 0.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : BOO022-1 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n029.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Wed Jun 3 02:37:47 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.71/0.96 % SZS status Unsatisfiable % 0.71/0.96 % SZS output start Proof % 0.71/0.97 ( % 0.71/0.97 (declare-sort $$unsorted 0) % 0.71/0.97 (declare-const tptp.a $$unsorted) % 0.71/0.97 (declare-const tptp.b $$unsorted) % 0.71/0.97 (declare-const tptp.c $$unsorted) % 0.71/0.97 (declare-const tptp.n0 $$unsorted) % 0.71/0.97 (declare-const tptp.n1 $$unsorted) % 0.71/0.97 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.71/0.97 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.71/0.97 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.71/0.97 (define @t1 () (@var "Y" $$unsorted)) % 0.71/0.97 (define @t2 () (@var "X" $$unsorted)) % 0.71/0.97 (define @t3 () (tptp.multiply (tptp.add @t2 @t1) @t1)) % 0.71/0.97 (define @t4 () (@list @t2 @t1)) % 0.71/0.97 (define @t5 () (forall @t4 (= @t3 @t1))) % 0.71/0.97 (define @t6 () (@var "Z" $$unsorted)) % 0.71/0.97 (define @t7 () (@list @t2 @t1 @t6)) % 0.71/0.97 (define @t8 () (forall @t7 (= (tptp.multiply @t2 (tptp.add @t1 @t6)) (tptp.add (tptp.multiply @t1 @t2) (tptp.multiply @t6 @t2))))) % 0.71/0.97 (define @t9 () (tptp.inverse @t2)) % 0.71/0.97 (define @t10 () (@list @t2)) % 0.71/0.97 (define @t11 () (tptp.add (tptp.multiply @t2 @t1) @t1)) % 0.71/0.97 (define @t12 () (forall @t4 (= @t11 @t1))) % 0.71/0.97 (define @t13 () (forall @t7 (= (tptp.add @t2 (tptp.multiply @t1 @t6)) (tptp.multiply (tptp.add @t1 @t2) (tptp.add @t6 @t2))))) % 0.71/0.97 (define @t14 () (tptp.multiply tptp.b tptp.c)) % 0.71/0.97 (define @t15 () (tptp.multiply tptp.a @t14)) % 0.71/0.97 (define @t16 () (tptp.multiply tptp.a tptp.b)) % 0.71/0.97 (define @t17 () (tptp.multiply @t16 tptp.c)) % 0.71/0.97 (define @t18 () (tptp.add @t15 @t14)) % 0.71/0.97 (define @t19 () (tptp.multiply @t18 @t14)) % 0.71/0.97 (define @t20 () (tptp.multiply @t14 tptp.a)) % 0.71/0.97 (define @t21 () (tptp.multiply @t15 tptp.a)) % 0.71/0.97 (define @t22 () (tptp.add @t21 @t20)) % 0.71/0.97 (define @t23 () (tptp.multiply @t16 tptp.a)) % 0.71/0.97 (define @t24 () (tptp.add @t23 tptp.a)) % 0.71/0.97 (define @t25 () (tptp.multiply @t23 @t23)) % 0.71/0.97 (define @t26 () (tptp.multiply tptp.a @t16)) % 0.71/0.97 (define @t27 () (tptp.multiply @t23 @t16)) % 0.71/0.97 (define @t28 () (tptp.add @t27 @t26)) % 0.71/0.97 (define @t29 () (tptp.add @t16 tptp.b)) % 0.71/0.97 (define @t30 () (tptp.add tptp.b tptp.b)) % 0.71/0.97 (define @t31 () (tptp.multiply tptp.b tptp.a)) % 0.71/0.97 (define @t32 () (tptp.add @t23 @t31)) % 0.71/0.97 (define @t33 () (tptp.multiply @t32 @t31)) % 0.71/0.97 (define @t34 () (tptp.add @t16 @t16)) % 0.71/0.97 (define @t35 () (tptp.multiply tptp.c @t16)) % 0.71/0.97 (define @t36 () (tptp.multiply @t16 @t16)) % 0.71/0.97 (define @t37 () (tptp.multiply @t31 @t31)) % 0.71/0.97 (define @t38 () (tptp.add @t31 tptp.a)) % 0.71/0.97 (define @t39 () (tptp.multiply @t36 @t14)) % 0.71/0.97 (define @t40 () (tptp.add @t14 tptp.c)) % 0.71/0.97 (define @t41 () (tptp.add @t17 tptp.c)) % 0.71/0.97 (define @t42 () (tptp.multiply tptp.c tptp.b)) % 0.71/0.97 (define @t43 () (tptp.multiply @t14 tptp.b)) % 0.71/0.97 (define @t44 () (tptp.multiply @t17 tptp.b)) % 0.71/0.97 (define @t45 () (tptp.add @t44 @t42)) % 0.71/0.97 (define @t46 () (tptp.multiply @t29 tptp.b)) % 0.71/0.97 (define @t47 () (tptp.add @t14 tptp.b)) % 0.71/0.97 (define @t48 () (tptp.add tptp.a tptp.b)) % 0.71/0.97 (define @t49 () (tptp.add tptp.a tptp.c)) % 0.71/0.97 (define @t50 () (tptp.add tptp.b @t15)) % 0.71/0.97 (define @t51 () (tptp.add tptp.c @t15)) % 0.71/0.97 (define @t52 () (tptp.multiply tptp.c @t50)) % 0.71/0.97 (define @t53 () (tptp.add @t50 @t52)) % 0.71/0.97 (define @t54 () (tptp.add @t15 @t52)) % 0.71/0.97 (define @t55 () (tptp.multiply @t44 @t18)) % 0.71/0.97 (define @t56 () (tptp.add @t18 @t55)) % 0.71/0.97 (define @t57 () (tptp.multiply @t23 @t14)) % 0.71/0.97 (define @t58 () (tptp.add tptp.b @t36)) % 0.71/0.97 (define @t59 () (tptp.multiply @t29 @t29)) % 0.71/0.97 (define @t60 () (= @t58 @t59)) % 0.71/0.97 (define @t61 () (@list false)) % 0.71/0.97 (define @t62 () (@list @t13)) % 0.71/0.97 (define @t63 () (tptp.multiply @t52 @t57)) % 0.71/0.97 (define @t64 () (tptp.multiply @t50 @t15)) % 0.71/0.97 (define @t65 () (tptp.multiply @t15 @t50)) % 0.71/0.97 (define @t66 () (tptp.add tptp.c tptp.c)) % 0.71/0.97 (define @t67 () (tptp.multiply @t17 @t16)) % 0.71/0.97 (define @t68 () (tptp.add @t67 @t35)) % 0.71/0.97 (define @t69 () (tptp.multiply @t68 @t35)) % 0.71/0.97 (define @t70 () (tptp.multiply @t31 tptp.c)) % 0.71/0.97 (define @t71 () (tptp.multiply @t23 tptp.c)) % 0.71/0.97 (define @t72 () (tptp.add @t71 @t70)) % 0.71/0.97 (define @t73 () (tptp.multiply @t17 @t17)) % 0.71/0.97 (define @t74 () (tptp.multiply @t73 tptp.b)) % 0.71/0.97 (define @t75 () (tptp.add tptp.c @t73)) % 0.71/0.97 (define @t76 () (tptp.multiply @t41 @t41)) % 0.71/0.97 (define @t77 () (= @t75 @t76)) % 0.71/0.97 (define @t78 () (tptp.multiply @t41 tptp.c)) % 0.71/0.97 (define @t79 () (tptp.multiply @t42 @t44)) % 0.71/0.97 (define @t80 () (tptp.multiply @t44 @t44)) % 0.71/0.97 (define @t81 () (tptp.multiply @t16 @t17)) % 0.71/0.97 (define @t82 () (tptp.add @t35 @t16)) % 0.71/0.97 (define @t83 () (tptp.add @t16 @t17)) % 0.71/0.97 (define @t84 () (@list @t16 @t17)) % 0.71/0.97 (define @t85 () (tptp.multiply tptp.b @t17)) % 0.71/0.97 (define @t86 () (tptp.multiply @t31 @t17)) % 0.71/0.97 (define @t87 () (tptp.multiply @t67 @t81)) % 0.71/0.97 (define @t88 () (tptp.multiply @t81 @t81)) % 0.71/0.97 (define @t89 () (tptp.add @t85 @t88)) % 0.71/0.97 (define @t90 () (tptp.add @t81 @t85)) % 0.71/0.97 (define @t91 () (tptp.multiply @t80 @t80)) % 0.71/0.97 (define @t92 () (tptp.add @t17 @t17)) % 0.71/0.97 (define @t93 () (tptp.multiply @t14 @t16)) % 0.71/0.97 (define @t94 () (tptp.multiply tptp.a @t18)) % 0.71/0.97 (define @t95 () (tptp.multiply @t51 @t15)) % 0.71/0.97 (define @t96 () (tptp.multiply @t20 tptp.c)) % 0.71/0.97 (define @t97 () (tptp.add @t96 @t70)) % 0.71/0.97 (define @t98 () (tptp.multiply tptp.c (tptp.add @t20 @t31))) % 0.71/0.97 (define @t99 () (= @t98 @t97)) % 0.71/0.97 (assume @p1 @t5) % 0.71/0.97 (assume @p2 @t8) % 0.71/0.97 (assume @p3 (forall @t10 (= (tptp.add @t2 @t9) tptp.n1))) % 0.71/0.97 (assume @p4 @t12) % 0.71/0.97 (assume @p5 @t13) % 0.71/0.97 (assume @p6 (forall @t10 (= (tptp.multiply @t2 @t9) tptp.n0))) % 0.71/0.97 (assume @p7 (not (= @t17 @t15))) % 0.71/0.97 (step @p8 :rule false_intro :premises (@p7)) % 0.71/0.97 (step @p9 :rule eq-symm :args (@t11 @t1)) % 0.71/0.97 (step @p10 :rule cong :premises (@p9) :args (@t12)) % 0.71/0.97 (step @p11 :rule eq_resolve :premises (@p4 @p10)) % 0.71/0.97 (step @p12 :rule instantiate :premises (@p11) :args ((@list @t18 @t14))) % 0.71/0.97 (step @p13 :rule symm :premises (@p12)) % 0.71/0.97 (step @p14 :rule refl :args (@t14)) % 0.71/0.97 (step @p15 :rule eq-symm :args (@t3 @t1)) % 0.71/0.97 (step @p16 :rule cong :premises (@p15) :args (@t5)) % 0.71/0.97 (step @p17 :rule eq_resolve :premises (@p1 @p16)) % 0.71/0.97 (step @p18 :rule instantiate :premises (@p17) :args ((@list @t15 @t14))) % 0.71/0.97 (step @p19 :rule symm :premises (@p18)) % 0.71/0.97 (step @p20 :rule cong :premises (@p19 @p14) :args ((tptp.add @t19 @t14))) % 0.71/0.97 (step @p21 :rule symm :premises (@p20)) % 0.71/0.97 (step @p22 :rule trans :premises (@p21 @p13)) % 0.71/0.97 (step @p23 :rule refl :args (tptp.a)) % 0.71/0.97 (step @p24 :rule cong :premises (@p23 @p22) :args ((tptp.multiply tptp.a (tptp.add @t14 @t14)))) % 0.71/0.97 (step @p25 :rule instantiate :premises (@p2) :args ((@list tptp.a @t14 @t14))) % 0.71/0.97 (step @p26 :rule symm :premises (@p25)) % 0.71/0.97 (step @p27 :rule refl :args (@t20)) % 0.71/0.97 (step @p28 :rule instantiate :premises (@p17) :args ((@list @t21 @t20))) % 0.71/0.97 (step @p29 :rule symm :premises (@p28)) % 0.71/0.97 (step @p30 :rule cong :premises (@p29 @p27) :args ((tptp.add (tptp.multiply @t22 @t20) @t20))) % 0.71/0.97 (step @p31 :rule instantiate :premises (@p11) :args ((@list @t22 @t20))) % 0.71/0.97 (step @p32 :rule cong :premises (@p19 @p23) :args ((tptp.multiply @t19 tptp.a))) % 0.71/0.97 (step @p33 :rule instantiate :premises (@p17) :args ((@list @t21 tptp.a))) % 0.71/0.97 (step @p34 :rule symm :premises (@p33)) % 0.71/0.97 (step @p35 :rule instantiate :premises (@p11) :args ((@list @t16 tptp.a))) % 0.71/0.97 (step @p36 :rule symm :premises (@p35)) % 0.71/0.97 (step @p37 :rule instantiate :premises (@p11) :args ((@list @t15 tptp.a))) % 0.71/0.97 (step @p38 :rule trans :premises (@p36 @p37)) % 0.71/0.97 (step @p39 :rule cong :premises (@p38 @p36) :args ((tptp.multiply @t24 @t24))) % 0.71/0.97 (step @p40 :rule instantiate :premises (@p5) :args ((@list tptp.a @t23 @t23))) % 0.71/0.97 (step @p41 :rule trans :premises (@p40 @p39 @p34)) % 0.71/0.97 (step @p42 :rule cong :premises (@p18 @p41) :args ((tptp.multiply @t14 (tptp.add tptp.a @t25)))) % 0.71/0.97 (step @p43 :rule instantiate :premises (@p2) :args ((@list @t14 tptp.a @t25))) % 0.71/0.97 (step @p44 :rule symm :premises (@p43)) % 0.71/0.97 (step @p45 :rule refl :args (@t16)) % 0.71/0.97 (step @p46 :rule cong :premises (@p45 @p36) :args ((tptp.multiply @t16 @t24))) % 0.71/0.97 (step @p47 :rule instantiate :premises (@p2) :args ((@list @t16 @t23 tptp.a))) % 0.71/0.97 (step @p48 :rule symm :premises (@p47)) % 0.71/0.97 (step @p49 :rule trans :premises (@p48 @p46)) % 0.71/0.97 (step @p50 :rule cong :premises (@p49 @p49) :args ((tptp.multiply @t28 @t28))) % 0.71/0.97 (step @p51 :rule instantiate :premises (@p11) :args ((@list @t29 tptp.b))) % 0.71/0.97 (step @p52 :rule symm :premises (@p51)) % 0.71/0.97 (step @p53 :rule refl :args (tptp.b)) % 0.71/0.97 (step @p54 :rule instantiate :premises (@p17) :args ((@list @t16 tptp.b))) % 0.71/0.97 (step @p55 :rule cong :premises (@p54 @p53) :args (@t30)) % 0.71/0.97 (step @p56 :rule trans :premises (@p55 @p52)) % 0.71/0.97 (step @p57 :rule cong :premises (@p23 @p56) :args ((tptp.multiply tptp.a @t30))) % 0.71/0.97 (step @p58 :rule instantiate :premises (@p2) :args ((@list tptp.a tptp.b tptp.b))) % 0.71/0.97 (step @p59 :rule symm :premises (@p58)) % 0.71/0.97 (step @p60 :rule instantiate :premises (@p17) :args ((@list @t23 @t31))) % 0.71/0.97 (step @p61 :rule symm :premises (@p60)) % 0.71/0.97 (step @p62 :rule cong :premises (@p61 @p61) :args ((tptp.add @t33 @t33))) % 0.71/0.97 (step @p63 :rule instantiate :premises (@p2) :args ((@list @t31 @t32 @t32))) % 0.71/0.97 (step @p64 :rule instantiate :premises (@p2) :args ((@list tptp.a @t16 tptp.b))) % 0.71/0.97 (step @p65 :rule instantiate :premises (@p11) :args ((@list tptp.a tptp.b))) % 0.71/0.97 (step @p66 :rule cong :premises (@p23 @p65) :args (@t16)) % 0.71/0.97 (step @p67 :rule trans :premises (@p66 @p64)) % 0.71/0.97 (step @p68 :rule cong :premises (@p67 @p67) :args (@t34)) % 0.71/0.97 (step @p69 :rule instantiate :premises (@p17) :args ((@list @t35 @t16))) % 0.71/0.97 (step @p70 :rule symm :premises (@p69)) % 0.71/0.97 (step @p71 :rule instantiate :premises (@p11) :args ((@list tptp.c @t16))) % 0.71/0.97 (step @p72 :rule cong :premises (@p71 @p45) :args (@t36)) % 0.71/0.97 (step @p73 :rule trans :premises (@p72 @p70)) % 0.71/0.97 (step @p74 :rule cong :premises (@p73 @p45) :args ((tptp.add @t36 @t16))) % 0.71/0.97 (step @p75 :rule instantiate :premises (@p11) :args ((@list @t16 @t16))) % 0.71/0.97 (step @p76 :rule refl :args (@t31)) % 0.71/0.97 (step @p77 :rule cong :premises (@p61 @p76) :args ((tptp.add @t33 @t31))) % 0.71/0.97 (step @p78 :rule instantiate :premises (@p11) :args ((@list @t32 @t31))) % 0.71/0.97 (step @p79 :rule trans :premises (@p78 @p77 @p59 @p57 @p75 @p74 @p68)) % 0.71/0.97 (step @p80 :rule cong :premises (@p76 @p79) :args (@t37)) % 0.71/0.97 (step @p81 :rule trans :premises (@p80 @p63 @p62 @p59 @p57)) % 0.71/0.97 (step @p82 :rule instantiate :premises (@p11) :args ((@list tptp.b tptp.a))) % 0.71/0.97 (step @p83 :rule symm :premises (@p82)) % 0.71/0.97 (step @p84 :rule trans :premises (@p83 @p37)) % 0.71/0.97 (step @p85 :rule cong :premises (@p84 @p83) :args ((tptp.multiply @t38 @t38))) % 0.71/0.97 (step @p86 :rule instantiate :premises (@p5) :args ((@list tptp.a @t31 @t31))) % 0.71/0.97 (step @p87 :rule trans :premises (@p86 @p85 @p34)) % 0.71/0.97 (step @p88 :rule cong :premises (@p87 @p81) :args ((tptp.multiply (tptp.add tptp.a @t37) @t37))) % 0.71/0.97 (step @p89 :rule instantiate :premises (@p17) :args ((@list tptp.a @t37))) % 0.71/0.97 (step @p90 :rule symm :premises (@p80)) % 0.71/0.97 (step @p91 :rule symm :premises (@p63)) % 0.71/0.97 (step @p92 :rule symm :premises (@p62)) % 0.71/0.97 (step @p93 :rule symm :premises (@p57)) % 0.71/0.97 (step @p94 :rule trans :premises (@p93 @p58 @p92 @p91 @p90 @p89 @p88)) % 0.71/0.97 (step @p95 :rule refl :args (@t27)) % 0.71/0.97 (step @p96 :rule cong :premises (@p95 @p94) :args ((tptp.add @t27 @t16))) % 0.71/0.97 (step @p97 :rule symm :premises (@p89)) % 0.71/0.97 (step @p98 :rule symm :premises (@p88)) % 0.71/0.97 (step @p99 :rule instantiate :premises (@p17) :args ((@list @t27 @t26))) % 0.71/0.97 (step @p100 :rule symm :premises (@p99)) % 0.71/0.97 (step @p101 :rule symm :premises (@p49)) % 0.71/0.97 (step @p102 :rule cong :premises (@p101 @p94) :args (@t27)) % 0.71/0.97 (step @p103 :rule trans :premises (@p102 @p100 @p98 @p97 @p80 @p63 @p62 @p59 @p57)) % 0.71/0.97 (step @p104 :rule cong :premises (@p95 @p103) :args ((tptp.add @t27 @t27))) % 0.71/0.97 (step @p105 :rule symm :premises (@p103)) % 0.71/0.97 (step @p106 :rule cong :premises (@p105 @p105) :args (@t34)) % 0.71/0.97 (step @p107 :rule trans :premises (@p75 @p74 @p106 @p104 @p96)) % 0.71/0.97 (step @p108 :rule cong :premises (@p101 @p107) :args (@t27)) % 0.71/0.97 (step @p109 :rule symm :premises (@p102)) % 0.71/0.97 (step @p110 :rule trans :premises (@p93 @p58 @p92 @p91 @p90 @p89 @p88 @p99 @p109 @p108 @p50)) % 0.71/0.97 (step @p111 :rule cong :premises (@p110 @p14) :args ((tptp.multiply @t16 @t14))) % 0.71/0.97 (step @p112 :rule cong :premises (@p73 @p14) :args (@t39)) % 0.71/0.97 (step @p113 :rule instantiate :premises (@p17) :args ((@list (tptp.multiply tptp.b @t14) @t39))) % 0.71/0.97 (step @p114 :rule symm :premises (@p113)) % 0.71/0.97 (step @p115 :rule symm :premises (@p112)) % 0.71/0.97 (step @p116 :rule instantiate :premises (@p11) :args ((@list tptp.b tptp.c))) % 0.71/0.97 (step @p117 :rule symm :premises (@p116)) % 0.71/0.97 (step @p118 :rule cong :premises (@p53 @p117) :args ((tptp.multiply tptp.b @t40))) % 0.71/0.97 (step @p119 :rule instantiate :premises (@p2) :args ((@list tptp.b @t14 tptp.c))) % 0.71/0.97 (step @p120 :rule symm :premises (@p119)) % 0.71/0.97 (step @p121 :rule trans :premises (@p120 @p118)) % 0.71/0.97 (step @p122 :rule instantiate :premises (@p11) :args ((@list tptp.a @t14))) % 0.71/0.97 (step @p123 :rule instantiate :premises (@p11) :args ((@list @t16 tptp.c))) % 0.71/0.97 (step @p124 :rule symm :premises (@p123)) % 0.71/0.97 (step @p125 :rule cong :premises (@p53 @p124) :args ((tptp.multiply tptp.b @t41))) % 0.71/0.97 (step @p126 :rule instantiate :premises (@p2) :args ((@list tptp.b @t17 tptp.c))) % 0.71/0.97 (step @p127 :rule symm :premises (@p126)) % 0.71/0.97 (step @p128 :rule trans :premises (@p127 @p125 @p122)) % 0.71/0.97 (step @p129 :rule cong :premises (@p128 @p121) :args ((tptp.multiply @t45 (tptp.add @t43 @t42)))) % 0.71/0.97 (step @p130 :rule instantiate :premises (@p5) :args ((@list @t42 @t44 @t43))) % 0.71/0.97 (step @p131 :rule instantiate :premises (@p17) :args ((@list @t14 tptp.b))) % 0.71/0.97 (step @p132 :rule symm :premises (@p131)) % 0.71/0.97 (step @p133 :rule instantiate :premises (@p11) :args ((@list tptp.c tptp.b))) % 0.71/0.97 (step @p134 :rule symm :premises (@p133)) % 0.71/0.97 (step @p135 :rule symm :premises (@p65)) % 0.71/0.97 (step @p136 :rule symm :premises (@p54)) % 0.71/0.97 (step @p137 :rule cong :premises (@p45 @p136) :args ((tptp.add @t16 @t46))) % 0.71/0.97 (step @p138 :rule instantiate :premises (@p5) :args ((@list @t16 @t29 tptp.b))) % 0.71/0.97 (step @p139 :rule symm :premises (@p138)) % 0.71/0.97 (step @p140 :rule trans :premises (@p139 @p137 @p135)) % 0.71/0.97 (step @p141 :rule refl :args (@t42)) % 0.71/0.97 (step @p142 :rule cong :premises (@p141 @p140) :args ((tptp.add @t42 (tptp.multiply (tptp.add @t29 @t16) (tptp.add tptp.b @t16))))) % 0.71/0.97 (step @p143 :rule symm :premises (@p140)) % 0.71/0.97 (step @p144 :rule instantiate :premises (@p17) :args ((@list @t44 @t42))) % 0.71/0.97 (step @p145 :rule symm :premises (@p144)) % 0.71/0.97 (step @p146 :rule refl :args (tptp.c)) % 0.71/0.97 (step @p147 :rule cong :premises (@p146 @p56) :args ((tptp.multiply tptp.c @t30))) % 0.71/0.97 (step @p148 :rule instantiate :premises (@p2) :args ((@list tptp.c tptp.b tptp.b))) % 0.71/0.97 (step @p149 :rule symm :premises (@p148)) % 0.71/0.97 (step @p150 :rule trans :premises (@p12 @p20 @p149 @p147 @p144)) % 0.71/0.97 (step @p151 :rule trans :premises (@p150 @p145)) % 0.71/0.97 (step @p152 :rule cong :premises (@p151 @p143) :args (@t47)) % 0.71/0.97 (step @p153 :rule trans :premises (@p152 @p142 @p134)) % 0.71/0.97 (step @p154 :rule refl :args (@t47)) % 0.71/0.97 (step @p155 :rule cong :premises (@p154 @p153) :args ((tptp.multiply @t47 @t47))) % 0.71/0.97 (step @p156 :rule instantiate :premises (@p5) :args ((@list tptp.b @t14 @t14))) % 0.71/0.97 (step @p157 :rule symm :premises (@p122)) % 0.71/0.97 (step @p158 :rule cong :premises (@p157 @p14) :args (@t19)) % 0.71/0.97 (step @p159 :rule cong :premises (@p53 @p158) :args ((tptp.add tptp.b @t19))) % 0.71/0.97 (step @p160 :rule symm :premises (@p147)) % 0.71/0.97 (step @p161 :rule instantiate :premises (@p17) :args ((@list tptp.a @t29))) % 0.71/0.97 (step @p162 :rule symm :premises (@p161)) % 0.71/0.97 (step @p163 :rule trans :premises (@p152 @p142 @p134 @p65)) % 0.71/0.97 (step @p164 :rule cong :premises (@p23 @p65) :args (@t48)) % 0.71/0.97 (step @p165 :rule cong :premises (@p164 @p163) :args ((tptp.multiply @t48 @t47))) % 0.71/0.97 (step @p166 :rule instantiate :premises (@p5) :args ((@list tptp.b tptp.a @t14))) % 0.71/0.97 (step @p167 :rule trans :premises (@p166 @p165 @p162 @p135)) % 0.71/0.97 (step @p168 :rule instantiate :premises (@p17) :args ((@list tptp.a tptp.c))) % 0.71/0.97 (step @p169 :rule symm :premises (@p168)) % 0.71/0.97 (step @p170 :rule refl :args (@t49)) % 0.71/0.97 (step @p171 :rule cong :premises (@p170 @p117) :args ((tptp.multiply @t49 @t40))) % 0.71/0.97 (step @p172 :rule instantiate :premises (@p5) :args ((@list tptp.c tptp.a @t14))) % 0.71/0.97 (step @p173 :rule trans :premises (@p172 @p171 @p169 @p123)) % 0.71/0.97 (step @p174 :rule trans :premises (@p173 @p124)) % 0.71/0.97 (step @p175 :rule cong :premises (@p174 @p167) :args ((tptp.multiply @t51 @t50))) % 0.71/0.97 (step @p176 :rule refl :args (@t50)) % 0.71/0.97 (step @p177 :rule symm :premises (@p174)) % 0.71/0.97 (step @p178 :rule cong :premises (@p177 @p176) :args (@t52)) % 0.71/0.97 (step @p179 :rule trans :premises (@p178 @p175 @p160 @p148 @p21 @p13 @p18)) % 0.71/0.97 (step @p180 :rule cong :premises (@p167 @p179) :args (@t53)) % 0.71/0.97 (step @p181 :rule trans :premises (@p180 @p159 @p156 @p155 @p132)) % 0.71/0.97 (step @p182 :rule refl :args (@t15)) % 0.71/0.97 (step @p183 :rule cong :premises (@p182 @p19) :args ((tptp.add @t15 @t19))) % 0.71/0.97 (step @p184 :rule cong :premises (@p182 @p179) :args (@t54)) % 0.71/0.97 (step @p185 :rule trans :premises (@p184 @p183)) % 0.71/0.97 (step @p186 :rule trans :premises (@p185 @p157)) % 0.71/0.97 (step @p187 :rule cong :premises (@p186 @p181) :args ((tptp.multiply @t54 @t53))) % 0.71/0.97 (step @p188 :rule instantiate :premises (@p5) :args ((@list @t52 @t15 @t50))) % 0.71/0.97 (step @p189 :rule instantiate :premises (@p2) :args ((@list @t50 tptp.c @t15))) % 0.71/0.97 (step @p190 :rule instantiate :premises (@p5) :args ((@list @t15 tptp.b tptp.c))) % 0.71/0.97 (step @p191 :rule trans :premises (@p190 @p189 @p188 @p187)) % 0.71/0.97 (step @p192 :rule refl :args (@t44)) % 0.71/0.97 (step @p193 :rule cong :premises (@p192 @p191) :args (@t55)) % 0.71/0.97 (step @p194 :rule trans :premises (@p157 @p150 @p145)) % 0.71/0.97 (step @p195 :rule cong :premises (@p194 @p193) :args (@t56)) % 0.71/0.97 (step @p196 :rule trans :premises (@p195 @p130 @p129 @p19)) % 0.71/0.97 (step @p197 :rule symm :premises (@p107)) % 0.71/0.97 (step @p198 :rule trans :premises (@p101 @p197)) % 0.71/0.97 (step @p199 :rule cong :premises (@p198 @p196) :args ((tptp.multiply @t23 @t56))) % 0.71/0.97 (step @p200 :rule symm :premises (@p196)) % 0.71/0.97 (step @p201 :rule refl :args (@t23)) % 0.71/0.97 (step @p202 :rule cong :premises (@p201 @p200) :args (@t57)) % 0.71/0.97 (step @p203 :rule trans :premises (@p202 @p199 @p115)) % 0.71/0.97 (step @p204 :rule instantiate :premises (@p2) :args ((@list @t14 tptp.b @t36))) % 0.71/0.97 (step @p205 :rule eq-symm :args (@t58 @t59)) % 0.71/0.97 (step @p206 :rule refl :args (@t13)) % 0.71/0.97 (step @p207 :rule cong :premises (@p206 @p205) :args ((=> @t13 @t60))) % 0.71/0.97 (assume-push @p485 @t13) % 0.71/0.97 (step @p209 :rule instantiate :premises (@p5) :args ((@list tptp.b @t16 @t16))) % 0.71/0.97 (step-pop @p486 :rule scope :premises (@p209)) % 0.71/0.97 (step @p210 :rule process_scope :premises (@p486) :args (@t60)) % 0.71/0.97 (step @p212 :rule eq_resolve :premises (@p210 @p207)) % 0.71/0.97 (step @p213 :rule implies_elim :premises (@p212)) % 0.71/0.97 (step @p214 :rule chain_m_resolution :premises (@p213 @p5) :args ((= @t59 @t58) @t61 @t62)) % 0.71/0.97 (step @p215 :rule refl :args (@t29)) % 0.71/0.97 (step @p216 :rule cong :premises (@p215 @p65) :args (@t46)) % 0.71/0.97 (step @p217 :rule trans :premises (@p54 @p216 @p214)) % 0.71/0.97 (step @p218 :rule cong :premises (@p14 @p217) :args (@t43)) % 0.71/0.97 (step @p219 :rule trans :premises (@p190 @p189 @p188 @p187 @p218 @p204)) % 0.71/0.97 (step @p220 :rule trans :premises (@p178 @p175 @p160 @p148 @p21 @p13 @p122)) % 0.71/0.97 (step @p221 :rule trans :premises (@p220 @p219)) % 0.71/0.97 (step @p222 :rule cong :premises (@p221 @p203) :args (@t63)) % 0.71/0.97 (step @p223 :rule trans :premises (@p222 @p114 @p112 @p111)) % 0.71/0.97 (step @p224 :rule symm :premises (@p31)) % 0.71/0.97 (step @p225 :rule symm :premises (@p30)) % 0.71/0.97 (step @p226 :rule symm :premises (@p24)) % 0.71/0.97 (step @p227 :rule trans :premises (@p226 @p25 @p225 @p224)) % 0.71/0.97 (step @p228 :rule cong :premises (@p227 @p227) :args ((tptp.add @t15 @t15))) % 0.71/0.97 (step @p229 :rule instantiate :premises (@p17) :args ((@list tptp.b @t15))) % 0.71/0.97 (step @p230 :rule symm :premises (@p229)) % 0.71/0.97 (step @p231 :rule cong :premises (@p230 @p230) :args ((tptp.add @t64 @t64))) % 0.71/0.97 (step @p232 :rule instantiate :premises (@p2) :args ((@list @t15 @t50 @t50))) % 0.71/0.97 (step @p233 :rule symm :premises (@p167)) % 0.71/0.97 (step @p234 :rule trans :premises (@p136 @p233)) % 0.71/0.97 (step @p235 :rule cong :premises (@p234 @p233) :args ((tptp.add @t46 tptp.b))) % 0.71/0.97 (step @p236 :rule trans :premises (@p166 @p165 @p162 @p135 @p51 @p235)) % 0.71/0.97 (step @p237 :rule cong :premises (@p182 @p236) :args (@t65)) % 0.71/0.97 (step @p238 :rule trans :premises (@p237 @p232 @p231 @p228 @p26 @p24)) % 0.71/0.97 (step @p239 :rule cong :premises (@p238 @p223) :args ((tptp.add @t65 @t63))) % 0.71/0.97 (step @p240 :rule symm :premises (@p222)) % 0.71/0.97 (step @p241 :rule instantiate :premises (@p2) :args ((@list @t23 @t18 @t55))) % 0.71/0.97 (step @p242 :rule symm :premises (@p241)) % 0.71/0.97 (step @p243 :rule instantiate :premises (@p11) :args ((@list @t44 @t44))) % 0.71/0.97 (step @p244 :rule symm :premises (@p243)) % 0.71/0.97 (step @p245 :rule instantiate :premises (@p11) :args ((@list @t41 tptp.c))) % 0.71/0.97 (step @p246 :rule symm :premises (@p245)) % 0.71/0.97 (step @p247 :rule instantiate :premises (@p17) :args ((@list @t17 tptp.c))) % 0.71/0.97 (step @p248 :rule cong :premises (@p247 @p146) :args (@t66)) % 0.71/0.97 (step @p249 :rule trans :premises (@p248 @p246)) % 0.71/0.97 (step @p250 :rule cong :premises (@p45 @p249) :args ((tptp.multiply @t16 @t66))) % 0.71/0.97 (step @p251 :rule instantiate :premises (@p2) :args ((@list @t16 tptp.c tptp.c))) % 0.71/0.97 (step @p252 :rule symm :premises (@p251)) % 0.71/0.97 (step @p253 :rule refl :args (@t35)) % 0.71/0.97 (step @p254 :rule instantiate :premises (@p17) :args ((@list @t67 @t35))) % 0.71/0.97 (step @p255 :rule symm :premises (@p254)) % 0.71/0.97 (step @p256 :rule cong :premises (@p255 @p253) :args ((tptp.add @t69 @t35))) % 0.71/0.97 (step @p257 :rule instantiate :premises (@p11) :args ((@list @t68 @t35))) % 0.71/0.97 (step @p258 :rule symm :premises (@p67)) % 0.71/0.97 (step @p259 :rule cong :premises (@p146 @p258) :args ((tptp.multiply tptp.c @t32))) % 0.71/0.97 (step @p260 :rule instantiate :premises (@p2) :args ((@list tptp.c @t23 @t31))) % 0.71/0.97 (step @p261 :rule symm :premises (@p260)) % 0.71/0.97 (step @p262 :rule trans :premises (@p261 @p259)) % 0.71/0.97 (step @p263 :rule refl :args (@t68)) % 0.71/0.97 (step @p264 :rule cong :premises (@p263 @p262) :args ((tptp.multiply @t68 @t72))) % 0.71/0.97 (step @p265 :rule symm :premises (@p259)) % 0.71/0.97 (step @p266 :rule symm :premises (@p257)) % 0.71/0.97 (step @p267 :rule symm :premises (@p256)) % 0.71/0.97 (step @p268 :rule symm :premises (@p250)) % 0.71/0.97 (step @p269 :rule trans :premises (@p268 @p251 @p267 @p266 @p265 @p260)) % 0.71/0.97 (step @p270 :rule instantiate :premises (@p2) :args ((@list @t16 @t17 tptp.c))) % 0.71/0.97 (step @p271 :rule cong :premises (@p45 @p123) :args (@t17)) % 0.71/0.97 (step @p272 :rule trans :premises (@p271 @p270)) % 0.71/0.97 (step @p273 :rule cong :premises (@p272 @p269) :args (@t73)) % 0.71/0.97 (step @p274 :rule trans :premises (@p273 @p264 @p255 @p257 @p256 @p252 @p250)) % 0.71/0.97 (step @p275 :rule cong :premises (@p274 @p53) :args (@t74)) % 0.71/0.97 (step @p276 :rule instantiate :premises (@p17) :args ((@list @t42 @t74))) % 0.71/0.97 (step @p277 :rule symm :premises (@p276)) % 0.71/0.97 (step @p278 :rule symm :premises (@p275)) % 0.71/0.97 (step @p279 :rule instantiate :premises (@p2) :args ((@list tptp.b tptp.c @t73))) % 0.71/0.97 (step @p280 :rule eq-symm :args (@t75 @t76)) % 0.71/0.97 (step @p281 :rule cong :premises (@p206 @p280) :args ((=> @t13 @t77))) % 0.71/0.97 (assume-push @p487 @t13) % 0.71/0.97 (step @p283 :rule instantiate :premises (@p5) :args ((@list tptp.c @t17 @t17))) % 0.71/0.97 (step-pop @p488 :rule scope :premises (@p283)) % 0.71/0.97 (step @p284 :rule process_scope :premises (@p488) :args (@t77)) % 0.71/0.97 (step @p286 :rule eq_resolve :premises (@p284 @p281)) % 0.71/0.97 (step @p287 :rule implies_elim :premises (@p286)) % 0.71/0.97 (step @p288 :rule chain_m_resolution :premises (@p287 @p5) :args ((= @t76 @t75) @t61 @t62)) % 0.71/0.97 (step @p289 :rule trans :premises (@p117 @p123)) % 0.71/0.97 (step @p290 :rule cong :premises (@p289 @p123) :args ((tptp.multiply @t40 tptp.c))) % 0.71/0.97 (step @p291 :rule symm :premises (@p289)) % 0.71/0.97 (step @p292 :rule cong :premises (@p291 @p146) :args (@t78)) % 0.71/0.97 (step @p293 :rule trans :premises (@p247 @p292 @p290 @p288)) % 0.71/0.97 (step @p294 :rule cong :premises (@p53 @p293) :args (@t14)) % 0.71/0.97 (step @p295 :rule trans :premises (@p157 @p294 @p279)) % 0.71/0.97 (step @p296 :rule cong :premises (@p146 @p135) :args ((tptp.multiply tptp.c @t29))) % 0.71/0.97 (step @p297 :rule instantiate :premises (@p2) :args ((@list tptp.c @t16 tptp.b))) % 0.71/0.97 (step @p298 :rule symm :premises (@p297)) % 0.71/0.97 (step @p299 :rule trans :premises (@p298 @p296 @p160 @p148 @p21 @p13 @p122)) % 0.71/0.97 (step @p300 :rule symm :premises (@p296)) % 0.71/0.97 (step @p301 :rule trans :premises (@p300 @p297)) % 0.71/0.97 (step @p302 :rule trans :premises (@p301 @p299 @p295)) % 0.71/0.97 (step @p303 :rule cong :premises (@p302 @p278) :args (@t79)) % 0.71/0.97 (step @p304 :rule trans :premises (@p303 @p277 @p275)) % 0.71/0.97 (step @p305 :rule refl :args (@t80)) % 0.71/0.97 (step @p306 :rule cong :premises (@p305 @p304) :args ((tptp.add @t80 @t79))) % 0.71/0.97 (step @p307 :rule trans :premises (@p306 @p244)) % 0.71/0.97 (step @p308 :rule symm :premises (@p306)) % 0.71/0.97 (step @p309 :rule symm :premises (@p217)) % 0.71/0.97 (step @p310 :rule refl :args (@t17)) % 0.71/0.97 (step @p311 :rule cong :premises (@p310 @p309) :args ((tptp.multiply @t17 @t58))) % 0.71/0.97 (step @p312 :rule instantiate :premises (@p2) :args ((@list @t17 tptp.b @t36))) % 0.71/0.97 (step @p313 :rule symm :premises (@p312)) % 0.71/0.97 (step @p314 :rule symm :premises (@p73)) % 0.71/0.97 (step @p315 :rule cong :premises (@p314 @p310) :args (@t81)) % 0.71/0.97 (step @p316 :rule symm :premises (@p71)) % 0.71/0.97 (step @p317 :rule cong :premises (@p316 @p316) :args ((tptp.multiply @t82 @t82))) % 0.71/0.97 (step @p318 :rule instantiate :premises (@p5) :args ((@list @t16 @t35 @t35))) % 0.71/0.97 (step @p319 :rule cong :premises (@p262 @p262) :args ((tptp.multiply @t72 @t72))) % 0.71/0.97 (step @p320 :rule symm :premises (@p262)) % 0.71/0.97 (step @p321 :rule cong :premises (@p320 @p269) :args ((tptp.multiply @t35 @t17))) % 0.71/0.97 (step @p322 :rule symm :premises (@p293)) % 0.71/0.97 (step @p323 :rule trans :premises (@p78 @p77 @p59 @p57)) % 0.71/0.97 (step @p324 :rule cong :premises (@p323 @p322) :args ((tptp.multiply @t31 @t75))) % 0.71/0.97 (step @p325 :rule cong :premises (@p76 @p293) :args (@t70)) % 0.71/0.97 (step @p326 :rule trans :premises (@p325 @p324)) % 0.71/0.97 (step @p327 :rule cong :premises (@p262 @p326) :args ((tptp.multiply @t72 @t70))) % 0.71/0.97 (step @p328 :rule instantiate :premises (@p17) :args ((@list @t71 @t70))) % 0.71/0.97 (step @p329 :rule symm :premises (@p325)) % 0.71/0.97 (step @p330 :rule symm :premises (@p324)) % 0.71/0.97 (step @p331 :rule trans :premises (@p330 @p329 @p328 @p327 @p321 @p319)) % 0.71/0.97 (step @p332 :rule cong :premises (@p45 @p331) :args (@t83)) % 0.71/0.97 (step @p333 :rule trans :premises (@p332 @p318 @p317 @p72 @p70)) % 0.71/0.97 (step @p334 :rule cong :premises (@p333 @p310) :args ((tptp.multiply @t83 @t17))) % 0.71/0.97 (step @p335 :rule instantiate :premises (@p17) :args (@t84)) % 0.71/0.97 (step @p336 :rule trans :premises (@p335 @p334 @p315)) % 0.71/0.97 (step @p337 :rule refl :args (@t85)) % 0.71/0.97 (step @p338 :rule cong :premises (@p337 @p336) :args ((tptp.add @t85 @t17))) % 0.71/0.97 (step @p339 :rule instantiate :premises (@p11) :args ((@list tptp.b @t17))) % 0.71/0.97 (step @p340 :rule trans :premises (@p339 @p338 @p313 @p311 @p243 @p308)) % 0.71/0.97 (step @p341 :rule trans :premises (@p340 @p307)) % 0.71/0.97 (step @p342 :rule cong :premises (@p341 @p128) :args ((tptp.multiply @t17 @t45))) % 0.71/0.97 (step @p343 :rule symm :premises (@p125)) % 0.71/0.97 (step @p344 :rule trans :premises (@p195 @p130 @p129 @p19 @p343 @p126)) % 0.71/0.97 (step @p345 :rule instantiate :premises (@p11) :args (@t84)) % 0.71/0.97 (step @p346 :rule symm :premises (@p345)) % 0.71/0.97 (step @p347 :rule symm :premises (@p335)) % 0.71/0.97 (step @p348 :rule symm :premises (@p334)) % 0.71/0.97 (step @p349 :rule cong :premises (@p323 @p310) :args (@t86)) % 0.71/0.97 (step @p350 :rule instantiate :premises (@p17) :args ((@list (tptp.multiply @t23 @t17) @t86))) % 0.71/0.97 (step @p351 :rule symm :premises (@p350)) % 0.71/0.97 (step @p352 :rule symm :premises (@p349)) % 0.71/0.97 (step @p353 :rule instantiate :premises (@p2) :args ((@list @t17 @t23 @t31))) % 0.71/0.97 (step @p354 :rule cong :premises (@p310 @p67) :args (@t67)) % 0.71/0.97 (step @p355 :rule trans :premises (@p354 @p353)) % 0.71/0.97 (step @p356 :rule cong :premises (@p355 @p352) :args (@t87)) % 0.71/0.97 (step @p357 :rule trans :premises (@p356 @p351 @p349 @p348 @p347)) % 0.71/0.97 (step @p358 :rule trans :premises (@p356 @p351)) % 0.71/0.97 (step @p359 :rule trans :premises (@p358 @p349)) % 0.71/0.97 (step @p360 :rule cong :premises (@p359 @p357) :args ((tptp.add @t87 @t87))) % 0.71/0.97 (step @p361 :rule symm :premises (@p359)) % 0.71/0.97 (step @p362 :rule cong :premises (@p361 @p361) :args ((tptp.add @t81 @t81))) % 0.71/0.97 (step @p363 :rule trans :premises (@p362 @p360 @p346)) % 0.71/0.97 (step @p364 :rule instantiate :premises (@p2) :args ((@list @t17 @t16 @t16))) % 0.71/0.97 (step @p365 :rule trans :premises (@p75 @p74)) % 0.71/0.97 (step @p366 :rule cong :premises (@p310 @p365) :args (@t67)) % 0.71/0.97 (step @p367 :rule symm :premises (@p354)) % 0.71/0.97 (step @p368 :rule symm :premises (@p353)) % 0.71/0.97 (step @p369 :rule trans :premises (@p368 @p367 @p366 @p364)) % 0.71/0.97 (step @p370 :rule trans :premises (@p355 @p369 @p363)) % 0.71/0.97 (step @p371 :rule cong :premises (@p370 @p344) :args ((tptp.multiply @t67 @t56))) % 0.71/0.97 (step @p372 :rule refl :args (@t67)) % 0.71/0.97 (step @p373 :rule cong :premises (@p372 @p200) :args ((tptp.multiply @t67 @t14))) % 0.71/0.97 (step @p374 :rule trans :premises (@p373 @p371 @p342)) % 0.71/0.97 (step @p375 :rule symm :premises (@p373)) % 0.71/0.97 (step @p376 :rule symm :premises (@p371)) % 0.71/0.97 (step @p377 :rule symm :premises (@p342)) % 0.71/0.97 (step @p378 :rule trans :premises (@p127 @p125)) % 0.71/0.97 (step @p379 :rule cong :premises (@p128 @p378) :args ((tptp.multiply @t45 @t45))) % 0.71/0.97 (step @p380 :rule instantiate :premises (@p5) :args ((@list @t42 @t44 @t44))) % 0.71/0.97 (step @p381 :rule trans :premises (@p380 @p379 @p19 @p122)) % 0.71/0.97 (step @p382 :rule cong :premises (@p192 @p381) :args ((tptp.multiply @t44 (tptp.add @t42 @t80)))) % 0.71/0.97 (step @p383 :rule instantiate :premises (@p2) :args ((@list @t44 @t42 @t80))) % 0.71/0.97 (step @p384 :rule symm :premises (@p383)) % 0.71/0.97 (step @p385 :rule cong :premises (@p305 @p244) :args ((tptp.multiply @t80 (tptp.add @t80 @t44)))) % 0.71/0.97 (step @p386 :rule trans :premises (@p348 @p347 @p339 @p338 @p313 @p311 @p243)) % 0.71/0.97 (step @p387 :rule cong :premises (@p305 @p386) :args ((tptp.multiply @t80 @t81))) % 0.71/0.97 (step @p388 :rule symm :premises (@p339)) % 0.71/0.97 (step @p389 :rule trans :premises (@p348 @p347)) % 0.71/0.97 (step @p390 :rule cong :premises (@p389 @p389) :args (@t88)) % 0.71/0.97 (step @p391 :rule trans :premises (@p390 @p273 @p264 @p255 @p257 @p256 @p252 @p250)) % 0.71/0.97 (step @p392 :rule cong :premises (@p337 @p391) :args (@t89)) % 0.71/0.97 (step @p393 :rule trans :premises (@p392 @p388 @p335 @p334)) % 0.71/0.97 (step @p394 :rule cong :premises (@p310 @p135) :args ((tptp.multiply @t17 @t29))) % 0.71/0.97 (step @p395 :rule instantiate :premises (@p2) :args ((@list @t17 @t16 tptp.b))) % 0.71/0.97 (step @p396 :rule symm :premises (@p395)) % 0.71/0.97 (step @p397 :rule trans :premises (@p396 @p394)) % 0.71/0.97 (step @p398 :rule cong :premises (@p397 @p397) :args ((tptp.multiply @t90 @t90))) % 0.71/0.97 (step @p399 :rule instantiate :premises (@p5) :args ((@list @t85 @t81 @t81))) % 0.71/0.97 (step @p400 :rule trans :premises (@p399 @p398)) % 0.71/0.97 (step @p401 :rule cong :premises (@p400 @p393) :args ((tptp.multiply @t89 @t89))) % 0.71/0.97 (step @p402 :rule symm :premises (@p400)) % 0.71/0.97 (step @p403 :rule cong :premises (@p402 @p402) :args (@t91)) % 0.71/0.97 (step @p404 :rule trans :premises (@p403 @p401 @p387 @p385)) % 0.71/0.97 (step @p405 :rule symm :premises (@p304)) % 0.71/0.97 (step @p406 :rule cong :premises (@p405 @p404) :args ((tptp.add @t44 @t91))) % 0.71/0.97 (step @p407 :rule symm :premises (@p403)) % 0.71/0.97 (step @p408 :rule symm :premises (@p392)) % 0.71/0.97 (step @p409 :rule trans :premises (@p339 @p408)) % 0.71/0.97 (step @p410 :rule cong :premises (@p409 @p409) :args (@t73)) % 0.71/0.97 (step @p411 :rule symm :premises (@p273)) % 0.71/0.97 (step @p412 :rule symm :premises (@p264)) % 0.71/0.97 (step @p413 :rule trans :premises (@p268 @p251 @p267 @p266 @p254 @p412 @p411 @p410 @p407)) % 0.71/0.97 (step @p414 :rule cong :premises (@p341 @p413) :args (@t92)) % 0.71/0.97 (step @p415 :rule trans :premises (@p268 @p251 @p267 @p266)) % 0.71/0.97 (step @p416 :rule cong :premises (@p146 @p323) :args ((tptp.multiply tptp.c @t31))) % 0.71/0.97 (step @p417 :rule symm :premises (@p416)) % 0.71/0.97 (step @p418 :rule trans :premises (@p268 @p251 @p267 @p266 @p417)) % 0.71/0.97 (step @p419 :rule trans :premises (@p418 @p416 @p254)) % 0.71/0.97 (step @p420 :rule cong :premises (@p419 @p415) :args (@t92)) % 0.71/0.97 (step @p421 :rule symm :premises (@p420)) % 0.71/0.97 (step @p422 :rule trans :premises (@p268 @p251 @p267 @p421 @p414 @p406 @p384 @p382 @p377 @p376 @p375)) % 0.71/0.97 (step @p423 :rule symm :premises (@p269)) % 0.71/0.97 (step @p424 :rule trans :premises (@p320 @p423 @p422 @p374)) % 0.71/0.97 (step @p425 :rule cong :premises (@p424 @p201) :args ((tptp.multiply @t35 @t23))) % 0.71/0.97 (step @p426 :rule trans :premises (@p274 @p269 @p262)) % 0.71/0.97 (step @p427 :rule cong :premises (@p426 @p49) :args ((tptp.multiply @t73 @t28))) % 0.71/0.97 (step @p428 :rule symm :premises (@p274)) % 0.71/0.97 (step @p429 :rule cong :premises (@p428 @p107) :args (@t67)) % 0.71/0.97 (step @p430 :rule symm :premises (@p366)) % 0.71/0.97 (step @p431 :rule symm :premises (@p364)) % 0.71/0.97 (step @p432 :rule symm :premises (@p362)) % 0.71/0.97 (step @p433 :rule symm :premises (@p360)) % 0.71/0.97 (step @p434 :rule trans :premises (@p255 @p257 @p256 @p252 @p250 @p345 @p433 @p432 @p431 @p430 @p429 @p427 @p425)) % 0.71/0.97 (step @p435 :rule symm :premises (@p194)) % 0.71/0.97 (step @p436 :rule cong :premises (@p435 @p201) :args ((tptp.multiply @t42 @t23))) % 0.71/0.97 (step @p437 :rule symm :premises (@p198)) % 0.71/0.97 (step @p438 :rule cong :premises (@p151 @p437) :args (@t93)) % 0.71/0.97 (step @p439 :rule trans :premises (@p438 @p436)) % 0.71/0.97 (step @p440 :rule cong :premises (@p439 @p434) :args ((tptp.add @t93 @t69))) % 0.71/0.97 (step @p441 :rule refl :args (@t93)) % 0.71/0.97 (step @p442 :rule cong :premises (@p441 @p254) :args ((tptp.add @t93 @t35))) % 0.71/0.97 (step @p443 :rule instantiate :premises (@p2) :args ((@list @t16 @t14 tptp.c))) % 0.71/0.97 (step @p444 :rule cong :premises (@p45 @p116) :args (@t17)) % 0.71/0.97 (step @p445 :rule symm :premises (@p414)) % 0.71/0.97 (step @p446 :rule symm :premises (@p406)) % 0.71/0.97 (step @p447 :rule symm :premises (@p382)) % 0.71/0.97 (step @p448 :rule trans :premises (@p447 @p383 @p446 @p445 @p420 @p256 @p252 @p250 @p444 @p443 @p442 @p440 @p242 @p199 @p115 @p113 @p240)) % 0.71/0.97 (step @p449 :rule symm :premises (@p238)) % 0.71/0.97 (step @p450 :rule cong :premises (@p23 @p157) :args (@t94)) % 0.71/0.97 (step @p451 :rule trans :premises (@p450 @p449)) % 0.71/0.97 (step @p452 :rule cong :premises (@p451 @p448) :args ((tptp.add @t94 @t55))) % 0.71/0.97 (step @p453 :rule trans :premises (@p325 @p324 @p268 @p251 @p267 @p421 @p414 @p406 @p384 @p382)) % 0.71/0.97 (step @p454 :rule symm :premises (@p450)) % 0.71/0.97 (step @p455 :rule instantiate :premises (@p17) :args ((@list tptp.c @t15))) % 0.71/0.97 (step @p456 :rule symm :premises (@p455)) % 0.71/0.97 (step @p457 :rule cong :premises (@p456 @p456) :args ((tptp.add @t95 @t95))) % 0.71/0.97 (step @p458 :rule instantiate :premises (@p2) :args ((@list @t15 @t51 @t51))) % 0.71/0.97 (step @p459 :rule symm :premises (@p247)) % 0.71/0.97 (step @p460 :rule trans :premises (@p459 @p177)) % 0.71/0.97 (step @p461 :rule cong :premises (@p460 @p177) :args ((tptp.add @t78 tptp.c))) % 0.71/0.97 (step @p462 :rule trans :premises (@p245 @p461)) % 0.71/0.97 (step @p463 :rule cong :premises (@p182 @p462) :args ((tptp.multiply @t15 tptp.c))) % 0.71/0.97 (step @p464 :rule symm :premises (@p227)) % 0.71/0.97 (step @p465 :rule cong :premises (@p464 @p146) :args (@t96)) % 0.71/0.97 (step @p466 :rule trans :premises (@p465 @p463 @p458 @p457 @p228 @p26 @p24)) % 0.71/0.97 (step @p467 :rule trans :premises (@p466 @p454)) % 0.71/0.97 (step @p468 :rule cong :premises (@p467 @p453) :args (@t97)) % 0.71/0.97 (step @p469 :rule trans :premises (@p468 @p452 @p239 @p44 @p42 @p32 @p31 @p30 @p26 @p24)) % 0.71/0.97 (step @p470 :rule cong :premises (@p23 @p153) :args ((tptp.multiply tptp.a @t47))) % 0.71/0.97 (step @p471 :rule instantiate :premises (@p2) :args ((@list tptp.a @t14 tptp.b))) % 0.71/0.97 (step @p472 :rule symm :premises (@p471)) % 0.71/0.97 (step @p473 :rule trans :premises (@p472 @p470)) % 0.71/0.97 (step @p474 :rule cong :premises (@p146 @p473) :args (@t98)) % 0.71/0.97 (step @p475 :rule trans :premises (@p474 @p257 @p256 @p252 @p250)) % 0.71/0.97 (step @p476 :rule cong :premises (@p475 @p469) :args (@t99)) % 0.71/0.97 (step @p477 :rule trans :premises (@p476 @p8)) % 0.71/0.97 (step @p478 :rule false_elim :premises (@p477)) % 0.71/0.97 (assume-push @p489 @t8) % 0.71/0.97 (step @p480 :rule instantiate :premises (@p2) :args ((@list tptp.c @t20 @t31))) % 0.71/0.97 (step-pop @p490 :rule scope :premises (@p480)) % 0.71/0.97 (step @p481 :rule process_scope :premises (@p490) :args (@t99)) % 0.71/0.97 (step @p483 :rule implies_elim :premises (@p481)) % 0.71/0.97 (step @p484 false :rule chain_m_resolution :premises (@p483 @p478 @p2) :args (false (@list true false) (@list @t99 @t8))) % 0.71/0.97 ) % 0.71/0.97 % SZS output end Proof % 0.71/0.97 % cvc5 exiting %------------------------------------------------------------------------------