%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP452-1 : TPTP v9.2.1. Released v2.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:20:45 AM UTC 2026 % Result : Unsatisfiable 0.83s 1.04s % Output : Proof 0.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP452-1 : TPTP v9.2.1. Released v2.6.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n028.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 01:09:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.83/1.04 % SZS status Unsatisfiable % 0.83/1.04 % SZS output start Proof % 0.83/1.05 ( % 0.83/1.05 (declare-sort $$unsorted 0) % 0.83/1.05 (declare-const tptp.b2 $$unsorted) % 0.83/1.05 (declare-const tptp.a2 $$unsorted) % 0.83/1.05 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.83/1.05 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.05 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.05 (define @t1 () (@var "B" $$unsorted)) % 0.83/1.05 (define @t2 () (@var "C" $$unsorted)) % 0.83/1.05 (define @t3 () (@var "A" $$unsorted)) % 0.83/1.05 (define @t4 () (tptp.divide @t3 @t3)) % 0.83/1.05 (define @t5 () (tptp.divide (tptp.divide @t4 (tptp.divide @t3 (tptp.divide @t1 (tptp.divide (tptp.divide @t4 @t3) @t2)))) @t2)) % 0.83/1.05 (define @t6 () (@list @t3 @t1 @t2)) % 0.83/1.05 (define @t7 () (forall @t6 (= @t5 @t1))) % 0.83/1.05 (define @t8 () (forall (@list @t3 @t1) (= (tptp.inverse @t3) (tptp.divide (tptp.divide @t1 @t1) @t3)))) % 0.83/1.05 (define @t9 () (tptp.inverse tptp.b2)) % 0.83/1.05 (define @t10 () (tptp.multiply @t9 tptp.b2)) % 0.83/1.05 (define @t11 () (tptp.divide @t9 @t9)) % 0.83/1.05 (define @t12 () (tptp.divide @t11 @t9)) % 0.83/1.05 (define @t13 () (tptp.divide @t12 @t10)) % 0.83/1.05 (define @t14 () (tptp.divide tptp.a2 tptp.a2)) % 0.83/1.05 (define @t15 () (tptp.divide @t14 tptp.a2)) % 0.83/1.05 (define @t16 () (tptp.divide @t15 @t13)) % 0.83/1.05 (define @t17 () (tptp.divide tptp.b2 tptp.b2)) % 0.83/1.05 (define @t18 () (tptp.divide @t17 tptp.b2)) % 0.83/1.05 (define @t19 () (tptp.divide @t18 @t16)) % 0.83/1.05 (define @t20 () (tptp.divide @t10 @t10)) % 0.83/1.05 (define @t21 () (tptp.divide @t20 @t10)) % 0.83/1.05 (define @t22 () (tptp.divide @t21 tptp.a2)) % 0.83/1.05 (define @t23 () (tptp.divide @t10 @t22)) % 0.83/1.05 (define @t24 () (tptp.divide @t10 @t23)) % 0.83/1.05 (define @t25 () (tptp.divide @t20 @t24)) % 0.83/1.05 (define @t26 () (tptp.divide @t25 @t19)) % 0.83/1.05 (define @t27 () (tptp.divide tptp.b2 @t26)) % 0.83/1.05 (define @t28 () (tptp.divide @t17 @t27)) % 0.83/1.05 (define @t29 () (tptp.divide @t28 @t16)) % 0.83/1.05 (define @t30 () (= @t25 @t29)) % 0.83/1.05 (define @t31 () (= @t29 @t25)) % 0.83/1.05 (define @t32 () (tptp.divide @t17 tptp.a2)) % 0.83/1.05 (define @t33 () (tptp.divide @t9 @t18)) % 0.83/1.05 (define @t34 () (tptp.divide @t18 @t18)) % 0.83/1.05 (define @t35 () (tptp.divide @t10 @t34)) % 0.83/1.05 (define @t36 () (tptp.divide tptp.b2 @t35)) % 0.83/1.05 (define @t37 () (tptp.divide @t17 @t36)) % 0.83/1.05 (define @t38 () (tptp.divide @t37 (tptp.divide @t20 tptp.b2))) % 0.83/1.05 (define @t39 () (tptp.divide @t14 @t34)) % 0.83/1.05 (define @t40 () (tptp.divide tptp.b2 @t39)) % 0.83/1.05 (define @t41 () (tptp.divide @t17 @t40)) % 0.83/1.05 (define @t42 () (tptp.divide @t14 @t36)) % 0.83/1.05 (define @t43 () (tptp.inverse @t36)) % 0.83/1.05 (define @t44 () (= @t43 @t37)) % 0.83/1.05 (define @t45 () (@list @t36 tptp.b2)) % 0.83/1.05 (define @t46 () (@list false)) % 0.83/1.05 (define @t47 () (@list @t8)) % 0.83/1.05 (define @t48 () (tptp.divide @t10 @t32)) % 0.83/1.05 (define @t49 () (tptp.divide @t21 @t10)) % 0.83/1.05 (define @t50 () (tptp.divide @t9 @t16)) % 0.83/1.05 (define @t51 () (tptp.divide @t11 @t50)) % 0.83/1.05 (define @t52 () (tptp.divide @t51 @t49)) % 0.83/1.05 (define @t53 () (tptp.divide @t10 @t52)) % 0.83/1.05 (define @t54 () (tptp.divide @t20 @t53)) % 0.83/1.05 (define @t55 () (tptp.divide @t10 (tptp.divide @t10 (tptp.divide @t21 @t32)))) % 0.83/1.05 (define @t56 () (tptp.divide @t21 @t23)) % 0.83/1.05 (define @t57 () (tptp.divide @t20 @t56)) % 0.83/1.05 (define @t58 () (tptp.divide @t10 @t57)) % 0.83/1.05 (define @t59 () (tptp.divide @t21 @t24)) % 0.83/1.05 (define @t60 () (tptp.divide @t20 @t59)) % 0.83/1.05 (define @t61 () (tptp.divide @t10 @t60)) % 0.83/1.05 (define @t62 () (tptp.divide @t20 @t55)) % 0.83/1.05 (define @t63 () (tptp.divide @t62 @t22)) % 0.83/1.05 (define @t64 () (tptp.divide @t10 @t63)) % 0.83/1.05 (define @t65 () (tptp.divide @t20 @t64)) % 0.83/1.05 (define @t66 () (tptp.inverse tptp.a2)) % 0.83/1.05 (define @t67 () (= @t66 @t32)) % 0.83/1.05 (define @t68 () (tptp.divide @t20 @t61)) % 0.83/1.05 (define @t69 () (tptp.divide tptp.b2 @t49)) % 0.83/1.05 (define @t70 () (tptp.divide @t10 @t69)) % 0.83/1.05 (define @t71 () (tptp.divide @t21 tptp.b2)) % 0.83/1.05 (define @t72 () (tptp.divide @t37 @t71)) % 0.83/1.05 (define @t73 () (tptp.divide @t10 @t72)) % 0.83/1.05 (define @t74 () (tptp.divide @t20 @t73)) % 0.83/1.05 (define @t75 () (tptp.divide @t70 @t70)) % 0.83/1.05 (define @t76 () (tptp.divide @t75 @t70)) % 0.83/1.05 (define @t77 () (tptp.divide @t15 tptp.b2)) % 0.83/1.05 (define @t78 () (tptp.divide @t24 @t24)) % 0.83/1.05 (define @t79 () (tptp.divide @t51 (tptp.divide (tptp.divide @t78 @t24) @t55))) % 0.83/1.05 (define @t80 () (tptp.divide @t24 @t79)) % 0.83/1.05 (define @t81 () (tptp.divide @t78 @t80)) % 0.83/1.05 (define @t82 () (tptp.divide @t17 @t71)) % 0.83/1.05 (define @t83 () (tptp.divide @t10 @t82)) % 0.83/1.05 (define @t84 () (tptp.divide @t20 @t83)) % 0.83/1.05 (define @t85 () (tptp.divide @t84 @t13)) % 0.83/1.05 (define @t86 () (tptp.divide @t9 @t85)) % 0.83/1.05 (define @t87 () (tptp.divide @t11 @t86)) % 0.83/1.05 (define @t88 () (tptp.divide @t21 @t82)) % 0.83/1.05 (define @t89 () (tptp.divide @t20 @t88)) % 0.83/1.05 (define @t90 () (tptp.divide @t10 @t89)) % 0.83/1.05 (define @t91 () (tptp.divide tptp.b2 @t34)) % 0.83/1.05 (define @t92 () (tptp.divide tptp.b2 @t91)) % 0.83/1.05 (define @t93 () (tptp.divide @t17 @t92)) % 0.83/1.05 (define @t94 () (tptp.divide @t55 @t55)) % 0.83/1.05 (define @t95 () (tptp.divide @t94 @t55)) % 0.83/1.05 (define @t96 () (tptp.divide @t95 tptp.b2)) % 0.83/1.05 (define @t97 () (tptp.divide @t9 @t96)) % 0.83/1.05 (define @t98 () (forall @t6 (= @t1 @t5))) % 0.83/1.05 (assume @p1 @t7) % 0.83/1.05 (assume @p2 (forall @t6 (= (tptp.multiply @t3 @t1) (tptp.divide @t3 (tptp.divide (tptp.divide @t2 @t2) @t1))))) % 0.83/1.05 (assume @p3 @t8) % 0.83/1.05 (assume @p4 (not (= (tptp.multiply @t10 tptp.a2) tptp.a2))) % 0.83/1.05 (step @p5 :rule eq-symm :args (@t5 @t1)) % 0.83/1.05 (step @p6 :rule cong :premises (@p5) :args (@t7)) % 0.83/1.05 (step @p7 :rule eq_resolve :premises (@p1 @p6)) % 0.83/1.05 (step @p8 :rule bool-eq-false :args (@t30)) % 0.83/1.05 (step @p9 :rule symm :premises (@p8)) % 0.83/1.05 (step @p10 :rule eq-symm :args (@t29 @t25)) % 0.83/1.05 (step @p11 :rule cong :premises (@p10) :args ((not @t31))) % 0.83/1.05 (step @p12 :rule bool-eq-false :args (@t31)) % 0.83/1.05 (step @p13 :rule trans :premises (@p12 @p11)) % 0.83/1.05 (step @p14 :rule trans :premises (@p13 @p9)) % 0.83/1.05 (step @p15 :rule symm :premises (@p4)) % 0.83/1.05 (step @p16 :rule false_intro :premises (@p15)) % 0.83/1.05 (step @p17 :rule instantiate :premises (@p2) :args ((@list @t10 tptp.a2 tptp.b2))) % 0.83/1.05 (step @p18 :rule symm :premises (@p17)) % 0.83/1.05 (step @p19 :rule refl :args (@t32)) % 0.83/1.05 (step @p20 :rule instantiate :premises (@p3) :args ((@list tptp.b2 tptp.b2))) % 0.83/1.05 (step @p21 :rule symm :premises (@p20)) % 0.83/1.05 (step @p22 :rule refl :args (@t9)) % 0.83/1.05 (step @p23 :rule cong :premises (@p22 @p21) :args (@t33)) % 0.83/1.05 (step @p24 :rule instantiate :premises (@p2) :args ((@list @t9 tptp.b2 tptp.b2))) % 0.83/1.05 (step @p25 :rule trans :premises (@p24 @p23)) % 0.83/1.05 (step @p26 :rule symm :premises (@p25)) % 0.83/1.05 (step @p27 :rule instantiate :premises (@p7) :args ((@list tptp.b2 @t10 @t18))) % 0.83/1.05 (step @p28 :rule symm :premises (@p27)) % 0.83/1.05 (step @p29 :rule instantiate :premises (@p3) :args ((@list tptp.b2 @t10))) % 0.83/1.05 (step @p30 :rule symm :premises (@p29)) % 0.83/1.05 (step @p31 :rule trans :premises (@p30 @p20)) % 0.83/1.05 (step @p32 :rule symm :premises (@p31)) % 0.83/1.05 (step @p33 :rule refl :args (@t37)) % 0.83/1.05 (step @p34 :rule cong :premises (@p33 @p32) :args ((tptp.divide @t37 @t18))) % 0.83/1.05 (step @p35 :rule symm :premises (@p34)) % 0.83/1.05 (step @p36 :rule refl :args (@t18)) % 0.83/1.05 (step @p37 :rule cong :premises (@p20 @p36) :args (@t33)) % 0.83/1.05 (step @p38 :rule trans :premises (@p24 @p37)) % 0.83/1.05 (step @p39 :rule refl :args (@t20)) % 0.83/1.05 (step @p40 :rule cong :premises (@p39 @p38) :args (@t21)) % 0.83/1.05 (step @p41 :rule refl :args (tptp.b2)) % 0.83/1.05 (step @p42 :rule cong :premises (@p41 @p40) :args ((tptp.divide tptp.b2 @t21))) % 0.83/1.05 (step @p43 :rule instantiate :premises (@p2) :args ((@list tptp.b2 @t10 @t10))) % 0.83/1.05 (step @p44 :rule instantiate :premises (@p2) :args ((@list tptp.b2 @t10 @t9))) % 0.83/1.05 (step @p45 :rule symm :premises (@p44)) % 0.83/1.05 (step @p46 :rule refl :args (@t10)) % 0.83/1.05 (step @p47 :rule cong :premises (@p25 @p46) :args (@t20)) % 0.83/1.05 (step @p48 :rule symm :premises (@p38)) % 0.83/1.05 (step @p49 :rule cong :premises (@p46 @p48) :args (@t35)) % 0.83/1.05 (step @p50 :rule trans :premises (@p49 @p47)) % 0.83/1.05 (step @p51 :rule cong :premises (@p41 @p50) :args (@t36)) % 0.83/1.05 (step @p52 :rule trans :premises (@p51 @p45 @p43 @p42)) % 0.83/1.05 (step @p53 :rule instantiate :premises (@p7) :args ((@list tptp.b2 @t17 @t18))) % 0.83/1.05 (step @p54 :rule symm :premises (@p53)) % 0.83/1.05 (step @p55 :rule refl :args (@t17)) % 0.83/1.05 (step @p56 :rule cong :premises (@p55 @p38) :args ((tptp.divide @t17 @t10))) % 0.83/1.05 (step @p57 :rule instantiate :premises (@p3) :args ((@list @t10 tptp.b2))) % 0.83/1.05 (step @p58 :rule instantiate :premises (@p3) :args ((@list @t10 @t9))) % 0.83/1.05 (step @p59 :rule symm :premises (@p58)) % 0.83/1.05 (step @p60 :rule trans :premises (@p49 @p47 @p59 @p57 @p56)) % 0.83/1.05 (step @p61 :rule cong :premises (@p41 @p60) :args (@t36)) % 0.83/1.05 (step @p62 :rule cong :premises (@p55 @p61) :args (@t37)) % 0.83/1.05 (step @p63 :rule cong :premises (@p62 @p31) :args (@t38)) % 0.83/1.05 (step @p64 :rule symm :premises (@p24)) % 0.83/1.05 (step @p65 :rule symm :premises (@p23)) % 0.83/1.05 (step @p66 :rule trans :premises (@p65 @p64 @p27 @p34 @p63 @p54)) % 0.83/1.05 (step @p67 :rule symm :premises (@p49)) % 0.83/1.05 (step @p68 :rule symm :premises (@p47)) % 0.83/1.05 (step @p69 :rule instantiate :premises (@p3) :args ((@list @t10 tptp.a2))) % 0.83/1.05 (step @p70 :rule symm :premises (@p69)) % 0.83/1.05 (step @p71 :rule refl :args (@t14)) % 0.83/1.05 (step @p72 :rule cong :premises (@p71 @p48) :args (@t39)) % 0.83/1.05 (step @p73 :rule trans :premises (@p72 @p70 @p58 @p68 @p67)) % 0.83/1.05 (step @p74 :rule cong :premises (@p41 @p73) :args (@t40)) % 0.83/1.05 (step @p75 :rule cong :premises (@p55 @p74) :args (@t41)) % 0.83/1.05 (step @p76 :rule cong :premises (@p75 @p32) :args ((tptp.divide @t41 @t18))) % 0.83/1.05 (step @p77 :rule instantiate :premises (@p7) :args ((@list tptp.b2 @t14 @t18))) % 0.83/1.05 (step @p78 :rule trans :premises (@p77 @p76 @p35 @p28 @p24 @p23)) % 0.83/1.05 (step @p79 :rule trans :premises (@p78 @p66)) % 0.83/1.05 (step @p80 :rule cong :premises (@p79 @p52) :args (@t42)) % 0.83/1.05 (step @p81 :rule instantiate :premises (@p3) :args ((@list @t36 tptp.a2))) % 0.83/1.05 (step @p82 :rule eq-symm :args (@t43 @t37)) % 0.83/1.05 (step @p83 :rule refl :args (@t8)) % 0.83/1.05 (step @p84 :rule cong :premises (@p83 @p82) :args ((=> @t8 @t44))) % 0.83/1.05 (assume-push @p365 @t8) % 0.83/1.05 (step @p86 :rule instantiate :premises (@p3) :args (@t45)) % 0.83/1.05 (step-pop @p366 :rule scope :premises (@p86)) % 0.83/1.05 (step @p87 :rule process_scope :premises (@p366) :args (@t44)) % 0.83/1.05 (step @p89 :rule eq_resolve :premises (@p87 @p84)) % 0.83/1.05 (step @p90 :rule implies_elim :premises (@p89)) % 0.83/1.05 (step @p91 :rule chain_m_resolution :premises (@p90 @p3) :args ((= @t37 @t43) @t46 @t47)) % 0.83/1.05 (step @p92 :rule trans :premises (@p91 @p81 @p80)) % 0.83/1.05 (step @p93 :rule cong :premises (@p92 @p31) :args (@t38)) % 0.83/1.05 (step @p94 :rule symm :premises (@p93)) % 0.83/1.05 (step @p95 :rule instantiate :premises (@p7) :args ((@list tptp.b2 @t20 @t18))) % 0.83/1.05 (step @p96 :rule symm :premises (@p95)) % 0.83/1.05 (step @p97 :rule trans :premises (@p65 @p64 @p27 @p34 @p93 @p96)) % 0.83/1.05 (step @p98 :rule symm :premises (@p97)) % 0.83/1.05 (step @p99 :rule trans :premises (@p98 @p26)) % 0.83/1.05 (step @p100 :rule cong :premises (@p99 @p48) :args ((tptp.divide @t20 @t34))) % 0.83/1.05 (step @p101 :rule trans :premises (@p40 @p100 @p95 @p94 @p35 @p28 @p24 @p23)) % 0.83/1.05 (step @p102 :rule trans :premises (@p101 @p26)) % 0.83/1.05 (step @p103 :rule symm :premises (@p102)) % 0.83/1.05 (step @p104 :rule cong :premises (@p103 @p19) :args (@t48)) % 0.83/1.05 (step @p105 :rule instantiate :premises (@p3) :args ((@list tptp.a2 tptp.b2))) % 0.83/1.05 (step @p106 :rule instantiate :premises (@p3) :args ((@list tptp.a2 @t9))) % 0.83/1.05 (step @p107 :rule symm :premises (@p106)) % 0.83/1.05 (step @p108 :rule refl :args (tptp.a2)) % 0.83/1.05 (step @p109 :rule cong :premises (@p101 @p108) :args (@t22)) % 0.83/1.05 (step @p110 :rule trans :premises (@p109 @p107 @p105)) % 0.83/1.05 (step @p111 :rule cong :premises (@p46 @p110) :args (@t23)) % 0.83/1.05 (step @p112 :rule trans :premises (@p111 @p104)) % 0.83/1.05 (step @p113 :rule cong :premises (@p46 @p112) :args (@t24)) % 0.83/1.05 (step @p114 :rule symm :premises (@p111)) % 0.83/1.05 (step @p115 :rule instantiate :premises (@p3) :args ((@list tptp.a2 tptp.a2))) % 0.83/1.05 (step @p116 :rule symm :premises (@p115)) % 0.83/1.05 (step @p117 :rule instantiate :premises (@p7) :args ((@list @t9 @t15 @t10))) % 0.83/1.05 (step @p118 :rule symm :premises (@p117)) % 0.83/1.05 (step @p119 :rule cong :premises (@p102 @p46) :args (@t49)) % 0.83/1.05 (step @p120 :rule trans :premises (@p119 @p95 @p94 @p35 @p28)) % 0.83/1.05 (step @p121 :rule refl :args (@t51)) % 0.83/1.05 (step @p122 :rule cong :premises (@p121 @p120) :args (@t52)) % 0.83/1.05 (step @p123 :rule trans :premises (@p122 @p118 @p116 @p105)) % 0.83/1.05 (step @p124 :rule cong :premises (@p46 @p123) :args (@t53)) % 0.83/1.05 (step @p125 :rule trans :premises (@p124 @p114)) % 0.83/1.05 (step @p126 :rule cong :premises (@p99 @p125) :args (@t54)) % 0.83/1.05 (step @p127 :rule instantiate :premises (@p7) :args ((@list @t24 @t54 @t55))) % 0.83/1.05 (step @p128 :rule symm :premises (@p127)) % 0.83/1.05 (step @p129 :rule refl :args (@t55)) % 0.83/1.05 (step @p130 :rule refl :args (@t24)) % 0.83/1.05 (step @p131 :rule cong :premises (@p99 @p113) :args (@t25)) % 0.83/1.05 (step @p132 :rule refl :args (@t23)) % 0.83/1.05 (step @p133 :rule cong :premises (@p102 @p132) :args (@t56)) % 0.83/1.05 (step @p134 :rule cong :premises (@p39 @p133) :args (@t57)) % 0.83/1.05 (step @p135 :rule trans :premises (@p134 @p131)) % 0.83/1.05 (step @p136 :rule symm :premises (@p99)) % 0.83/1.05 (step @p137 :rule cong :premises (@p136 @p135) :args (@t58)) % 0.83/1.05 (step @p138 :rule symm :premises (@p137)) % 0.83/1.05 (step @p139 :rule symm :premises (@p101)) % 0.83/1.05 (step @p140 :rule trans :premises (@p98 @p139)) % 0.83/1.05 (step @p141 :rule symm :premises (@p140)) % 0.83/1.05 (step @p142 :rule cong :premises (@p141 @p130) :args (@t59)) % 0.83/1.05 (step @p143 :rule trans :premises (@p142 @p131)) % 0.83/1.05 (step 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@p35 @p28 @p24 @p23)) % 0.83/1.05 (step @p159 :rule cong :premises (@p158 @p108) :args ((tptp.divide @t65 tptp.a2))) % 0.83/1.05 (step @p160 :rule symm :premises (@p159)) % 0.83/1.05 (step @p161 :rule eq-symm :args (@t66 @t32)) % 0.83/1.05 (step @p162 :rule cong :premises (@p83 @p161) :args ((=> @t8 @t67))) % 0.83/1.05 (assume-push @p367 @t8) % 0.83/1.05 (step-pop @p368 :rule scope :premises (@p105)) % 0.83/1.05 (step @p164 :rule process_scope :premises (@p368) :args (@t67)) % 0.83/1.05 (step @p166 :rule eq_resolve :premises (@p164 @p162)) % 0.83/1.05 (step @p167 :rule implies_elim :premises (@p166)) % 0.83/1.05 (step @p168 :rule chain_m_resolution :premises (@p167 @p3) :args ((= @t32 @t66) @t46 @t47)) % 0.83/1.05 (step @p169 :rule trans :premises (@p168 @p106 @p160 @p149 @p138)) % 0.83/1.05 (step @p170 :rule cong :premises (@p136 @p169) :args (@t48)) % 0.83/1.05 (step @p171 :rule trans :premises (@p111 @p170 @p147)) % 0.83/1.05 (step @p172 :rule cong :premises (@p136 @p171) :args (@t24)) % 0.83/1.05 (step @p173 :rule symm :premises (@p172)) % 0.83/1.05 (step @p174 :rule cong :premises (@p173 @p130) :args ((tptp.divide @t68 @t24))) % 0.83/1.05 (step @p175 :rule instantiate :premises (@p7) :args ((@list @t10 @t20 @t24))) % 0.83/1.05 (step @p176 :rule trans :premises (@p65 @p64 @p27 @p34 @p93 @p96 @p175 @p174)) % 0.83/1.05 (step @p177 :rule trans :premises (@p98 @p176)) % 0.83/1.05 (step @p178 :rule cong :premises (@p177 @p130) :args (@t25)) % 0.83/1.05 (step @p179 :rule cong :premises (@p140 @p129) :args (@t62)) % 0.83/1.05 (step @p180 :rule trans :premises (@p137 @p179)) % 0.83/1.05 (step @p181 :rule cong :premises (@p39 @p180) :args ((tptp.divide @t20 @t58))) % 0.83/1.05 (step @p182 :rule trans :premises (@p146 @p181)) % 0.83/1.05 (step @p183 :rule cong :premises (@p99 @p182) :args (@t68)) % 0.83/1.05 (step @p184 :rule trans :premises (@p172 @p183)) % 0.83/1.05 (step @p185 :rule cong :premises (@p39 @p184) :args (@t25)) % 0.83/1.05 (step @p186 :rule symm :premises (@p185)) % 0.83/1.05 (step @p187 :rule trans :premises (@p186 @p178)) % 0.83/1.05 (step @p188 :rule cong :premises (@p187 @p129) :args ((tptp.divide (tptp.divide @t20 (tptp.divide @t10 (tptp.divide @t20 (tptp.divide @t21 @t55)))) @t55))) % 0.83/1.05 (step @p189 :rule instantiate :premises (@p7) :args ((@list @t10 @t20 @t55))) % 0.83/1.05 (step @p190 :rule trans :premises (@p27 @p34 @p93 @p96 @p189 @p188)) % 0.83/1.05 (step @p191 :rule refl :args (@t54)) % 0.83/1.05 (step @p192 :rule cong :premises (@p191 @p190) :args ((tptp.divide @t54 @t10))) % 0.83/1.05 (step @p193 :rule instantiate :premises (@p7) :args ((@list @t10 @t51 @t10))) % 0.83/1.05 (step @p194 :rule refl :args (@t16)) % 0.83/1.05 (step @p195 :rule cong :premises (@p21 @p194) :args (@t19)) % 0.83/1.05 (step @p196 :rule refl :args (@t11)) % 0.83/1.05 (step @p197 :rule cong :premises (@p196 @p195) :args ((tptp.divide @t11 @t19))) % 0.83/1.05 (step @p198 :rule symm :premises (@p195)) % 0.83/1.05 (step @p199 :rule instantiate :premises (@p7) :args ((@list @t10 tptp.b2 @t10))) % 0.83/1.05 (step @p200 :rule symm :premises (@p199)) % 0.83/1.05 (step @p201 :rule refl :args (@t70)) % 0.83/1.05 (step @p202 :rule instantiate :premises (@p3) :args ((@list tptp.b2 @t9))) % 0.83/1.05 (step @p203 :rule symm :premises (@p202)) % 0.83/1.05 (step @p204 :rule cong :premises (@p101 @p41) :args (@t71)) % 0.83/1.05 (step @p205 :rule trans :premises (@p204 @p203 @p29)) % 0.83/1.05 (step @p206 :rule cong :premises (@p33 @p205) :args (@t72)) % 0.83/1.05 (step @p207 :rule symm :premises (@p204)) % 0.83/1.05 (step @p208 :rule trans :premises (@p206 @p35 @p28)) % 0.83/1.05 (step @p209 :rule cong :premises (@p46 @p208) :args (@t73)) % 0.83/1.05 (step @p210 :rule trans :premises (@p209 @p95 @p94 @p35 @p28)) % 0.83/1.05 (step @p211 :rule cong :premises (@p99 @p210) :args (@t74)) % 0.83/1.05 (step @p212 :rule trans :premises (@p211 @p95 @p94 @p35 @p28 @p24 @p23)) % 0.83/1.05 (step @p213 :rule cong :premises (@p212 @p41) :args ((tptp.divide @t74 tptp.b2))) % 0.83/1.05 (step @p214 :rule instantiate :premises (@p7) :args ((@list @t10 @t37 tptp.b2))) % 0.83/1.05 (step @p86 :rule instantiate :premises (@p3) :args (@t45)) % 0.83/1.05 (step @p215 :rule symm :premises (@p81)) % 0.83/1.05 (step @p216 :rule trans :premises (@p119 @p67)) % 0.83/1.05 (step @p217 :rule cong :premises (@p41 @p216) :args (@t69)) % 0.83/1.05 (step @p218 :rule symm :premises (@p78)) % 0.83/1.05 (step @p219 :rule trans :premises (@p25 @p218)) % 0.83/1.05 (step @p220 :rule cong :premises (@p219 @p217) :args (@t70)) % 0.83/1.05 (step @p221 :rule trans :premises (@p220 @p215 @p86 @p214 @p213 @p207)) % 0.83/1.05 (step @p222 :rule trans :premises (@p220 @p215 @p86)) % 0.83/1.05 (step @p223 :rule cong :premises (@p222 @p221) :args (@t75)) % 0.83/1.05 (step @p224 :rule trans :premises (@p223 @p206 @p35 @p28 @p24 @p23)) % 0.83/1.05 (step @p225 :rule trans :premises (@p224 @p97)) % 0.83/1.05 (step @p226 :rule cong :premises (@p225 @p201) :args (@t76)) % 0.83/1.05 (step @p227 :rule cong :premises (@p226 @p46) :args ((tptp.divide @t76 @t10))) % 0.83/1.05 (step @p228 :rule symm :premises (@p226)) % 0.83/1.05 (step @p229 :rule symm :premises (@p220)) % 0.83/1.05 (step @p230 :rule symm :premises (@p214)) % 0.83/1.05 (step @p231 :rule symm :premises (@p213)) % 0.83/1.05 (step @p232 :rule trans :premises (@p202 @p231 @p230 @p91 @p81 @p229)) % 0.83/1.05 (step @p233 :rule cong :premises (@p39 @p232) :args ((tptp.divide @t20 @t9))) % 0.83/1.05 (step @p234 :rule cong :premises (@p97 @p22) :args (@t12)) % 0.83/1.05 (step @p235 :rule trans :premises (@p234 @p233)) % 0.83/1.05 (step @p236 :rule trans :premises (@p235 @p228)) % 0.83/1.05 (step @p237 :rule cong :premises (@p236 @p46) :args (@t13)) % 0.83/1.05 (step @p238 :rule trans :premises (@p237 @p227 @p200)) % 0.83/1.05 (step @p239 :rule refl :args (@t15)) % 0.83/1.05 (step @p240 :rule cong :premises (@p239 @p238) :args (@t16)) % 0.83/1.05 (step @p241 :rule instantiate :premises (@p7) :args ((@list tptp.a2 (tptp.divide @t11 (tptp.divide @t9 (tptp.divide tptp.a2 (tptp.divide @t12 @t77)))) tptp.b2))) % 0.83/1.05 (step @p242 :rule symm :premises (@p241)) % 0.83/1.05 (step @p243 :rule instantiate :premises (@p7) :args ((@list @t9 tptp.a2 @t77))) % 0.83/1.05 (step @p244 :rule cong :premises (@p108 @p243) :args (@t14)) % 0.83/1.05 (step @p245 :rule symm :premises (@p77)) % 0.83/1.05 (step @p246 :rule symm :premises (@p76)) % 0.83/1.05 (step @p247 :rule trans :premises (@p27 @p34 @p246 @p245 @p244)) % 0.83/1.05 (step @p248 :rule cong :premises (@p219 @p247) :args (@t20)) % 0.83/1.05 (step @p249 :rule trans :premises (@p65 @p64 @p27 @p34 @p93 @p96 @p248)) % 0.83/1.05 (step @p250 :rule cong :premises (@p249 @p41) :args ((tptp.divide @t11 tptp.b2))) % 0.83/1.05 (step @p251 :rule trans :premises (@p214 @p213 @p250 @p242)) % 0.83/1.05 (step @p252 :rule trans :premises (@p202 @p231 @p230)) % 0.83/1.05 (step @p253 :rule trans :premises (@p252 @p251)) % 0.83/1.05 (step @p254 :rule cong :premises (@p253 @p240) :args (@t50)) % 0.83/1.05 (step @p255 :rule symm :premises (@p254)) % 0.83/1.05 (step @p256 :rule trans :premises (@p243 @p255 @p198)) % 0.83/1.05 (step @p257 :rule cong :premises (@p196 @p256) :args ((tptp.divide @t11 tptp.a2))) % 0.83/1.05 (step @p258 :rule symm :premises (@p119)) % 0.83/1.05 (step @p259 :rule symm :premises (@p189)) % 0.83/1.05 (step @p260 :rule symm :premises (@p188)) % 0.83/1.05 (step @p261 :rule trans :premises (@p260 @p259 @p258)) % 0.83/1.05 (step @p262 :rule cong :premises (@p121 @p261) :args (@t79)) % 0.83/1.05 (step @p263 :rule trans :premises (@p262 @p122 @p118 @p116 @p106 @p257 @p197 @p193 @p192)) % 0.83/1.05 (step @p264 :rule cong :premises (@p130 @p263) :args (@t80)) % 0.83/1.05 (step @p265 :rule refl :args (@t78)) % 0.83/1.05 (step @p266 :rule cong :premises (@p265 @p264) :args (@t81)) % 0.83/1.05 (step @p267 :rule cong :premises (@p266 @p129) :args ((tptp.divide @t81 @t55))) % 0.83/1.05 (step @p268 :rule instantiate :premises (@p7) :args ((@list @t24 @t51 @t55))) % 0.83/1.05 (step @p269 :rule trans :premises (@p168 @p106 @p257 @p197 @p268 @p267 @p128 @p126 @p113)) % 0.83/1.05 (step @p270 :rule cong :premises (@p46 @p269) :args (@t48)) % 0.83/1.05 (step @p271 :rule symm :premises (@p270)) % 0.83/1.05 (step @p272 :rule trans :premises (@p131 @p271 @p18)) % 0.83/1.05 (step @p273 :rule symm :premises (@p243)) % 0.83/1.05 (step @p274 :rule symm :premises (@p252)) % 0.83/1.05 (step @p275 :rule trans :premises (@p49 @p95 @p94 @p35 @p28)) % 0.83/1.05 (step @p276 :rule instantiate :premises (@p7) :args ((@list @t70 tptp.b2 @t10))) % 0.83/1.05 (step @p277 :rule symm :premises (@p276)) % 0.83/1.05 (step @p278 :rule symm :premises (@p227)) % 0.83/1.05 (step @p279 :rule trans :premises (@p199 @p278)) % 0.83/1.05 (step @p280 :rule cong :premises (@p41 @p279) :args (@t17)) % 0.83/1.05 (step @p281 :rule instantiate :premises (@p7) :args ((@list @t10 @t17 tptp.b2))) % 0.83/1.05 (step @p282 :rule symm :premises (@p281)) % 0.83/1.05 (step @p283 :rule refl :args (@t84)) % 0.83/1.05 (step @p284 :rule cong :premises (@p283 @p238) :args (@t85)) % 0.83/1.05 (step @p285 :rule trans :premises (@p284 @p282 @p280)) % 0.83/1.05 (step @p286 :rule cong :premises (@p232 @p285) :args (@t86)) % 0.83/1.05 (step @p287 :rule symm :premises (@p224)) % 0.83/1.05 (step @p288 :rule cong :premises (@p287 @p286) :args (@t87)) % 0.83/1.05 (step @p289 :rule cong :premises (@p288 @p46) :args ((tptp.divide @t87 @t10))) % 0.83/1.05 (step @p290 :rule instantiate :premises (@p7) :args ((@list @t9 @t84 @t10))) % 0.83/1.05 (step @p291 :rule refl :args (@t82)) % 0.83/1.05 (step @p292 :rule cong :premises (@p102 @p291) :args (@t88)) % 0.83/1.05 (step @p293 :rule cong :premises (@p39 @p292) :args (@t89)) % 0.83/1.05 (step @p294 :rule trans :premises (@p293 @p290 @p289 @p277)) % 0.83/1.05 (step @p295 :rule cong :premises (@p25 @p294) :args (@t90)) % 0.83/1.05 (step @p296 :rule trans :premises (@p295 @p231 @p230 @p91 @p81 @p229)) % 0.83/1.05 (step @p297 :rule cong :premises (@p39 @p296) :args ((tptp.divide @t20 @t90))) % 0.83/1.05 (step @p298 :rule symm :premises (@p297)) % 0.83/1.05 (step @p299 :rule trans :premises (@p21 @p202 @p231 @p230 @p91 @p81 @p229)) % 0.83/1.05 (step @p300 :rule symm :premises (@p63)) % 0.83/1.05 (step @p301 :rule instantiate :premises (@p7) :args ((@list @t10 @t17 @t36))) % 0.83/1.05 (step @p302 :rule symm :premises (@p301)) % 0.83/1.05 (step @p303 :rule symm :premises (@p37)) % 0.83/1.05 (step @p304 :rule trans :premises (@p303 @p64 @p27 @p34 @p93 @p96 @p67)) % 0.83/1.05 (step @p305 :rule cong :premises (@p41 @p304) :args (@t91)) % 0.83/1.05 (step @p306 :rule refl :args (@t36)) % 0.83/1.05 (step @p307 :rule trans :premises (@p78 @p139)) % 0.83/1.05 (step @p308 :rule cong :premises (@p307 @p306) :args (@t42)) % 0.83/1.05 (step @p309 :rule trans :premises (@p220 @p308)) % 0.83/1.05 (step @p310 :rule trans :premises (@p98 @p66)) % 0.83/1.05 (step @p311 :rule cong :premises (@p310 @p309) :args ((tptp.divide @t20 @t70))) % 0.83/1.05 (step @p312 :rule trans :premises (@p204 @p203)) % 0.83/1.05 (step @p313 :rule symm :premises (@p66)) % 0.83/1.05 (step @p314 :rule cong :premises (@p313 @p312) :args (@t82)) % 0.83/1.05 (step @p315 :rule trans :premises (@p314 @p234 @p233 @p311)) % 0.83/1.05 (step @p316 :rule cong :premises (@p46 @p315) :args (@t83)) % 0.83/1.05 (step @p317 :rule cong :premises (@p39 @p316) :args (@t84)) % 0.83/1.05 (step @p318 :rule symm :premises (@p290)) % 0.83/1.05 (step @p319 :rule symm :premises (@p289)) % 0.83/1.05 (step @p320 :rule trans :premises (@p276 @p319 @p318 @p317)) % 0.83/1.05 (step @p321 :rule cong :premises (@p320 @p305) :args (@t92)) % 0.83/1.05 (step @p322 :rule trans :premises (@p321 @p302 @p53 @p300 @p35 @p28)) % 0.83/1.05 (step @p323 :rule trans :premises (@p313 @p26)) % 0.83/1.05 (step @p324 :rule cong :premises (@p323 @p322) :args (@t93)) % 0.83/1.05 (step @p325 :rule cong :premises (@p324 @p299) :args ((tptp.divide @t93 @t18))) % 0.83/1.05 (step @p326 :rule instantiate :premises (@p7) :args ((@list tptp.b2 tptp.b2 @t18))) % 0.83/1.05 (step @p327 :rule trans :premises (@p326 @p325 @p298)) % 0.83/1.05 (step @p328 :rule trans :premises (@p327 @p297 @p228)) % 0.83/1.05 (step @p329 :rule cong :premises (@p328 @p275) :args (@t36)) % 0.83/1.05 (step @p330 :rule instantiate :premises (@p7) :args ((@list @t10 @t10 tptp.a2))) % 0.83/1.05 (step @p331 :rule symm :premises (@p330)) % 0.83/1.05 (step @p332 :rule symm :premises (@p238)) % 0.83/1.05 (step @p333 :rule symm :premises (@p131)) % 0.83/1.05 (step @p334 :rule trans :premises (@p333 @p185)) % 0.83/1.05 (step @p335 :rule cong :premises (@p334 @p129) :args (@t94)) % 0.83/1.05 (step @p336 :rule trans :premises (@p335 @p259 @p95 @p94 @p35 @p28 @p24 @p23)) % 0.83/1.05 (step @p337 :rule trans :premises (@p336 @p97)) % 0.83/1.05 (step @p338 :rule cong :premises (@p337 @p129) :args (@t95)) % 0.83/1.05 (step @p339 :rule trans :premises (@p338 @p148 @p159 @p107 @p115)) % 0.83/1.05 (step @p340 :rule cong :premises (@p339 @p332) :args (@t96)) % 0.83/1.05 (step @p341 :rule cong :premises (@p22 @p340) :args (@t97)) % 0.83/1.05 (step @p342 :rule trans :premises (@p341 @p254 @p273)) % 0.83/1.05 (step @p343 :rule cong :premises (@p333 @p342) :args ((tptp.divide @t55 @t97))) % 0.83/1.05 (step @p344 :rule symm :premises (@p341)) % 0.83/1.05 (step @p345 :rule trans :premises (@p195 @p344)) % 0.83/1.05 (step @p346 :rule cong :premises (@p131 @p345) :args (@t26)) % 0.83/1.05 (step @p347 :rule trans :premises (@p346 @p343 @p331 @p27 @p34 @p93 @p96 @p67)) % 0.83/1.05 (step @p348 :rule cong :premises (@p41 @p347) :args (@t27)) % 0.83/1.05 (step @p349 :rule trans :premises (@p348 @p329 @p227 @p200)) % 0.83/1.05 (step @p350 :rule cong :premises (@p313 @p349) :args (@t28)) % 0.83/1.05 (step @p351 :rule trans :premises (@p350 @p231 @p230)) % 0.83/1.05 (step @p352 :rule trans :premises (@p351 @p274)) % 0.83/1.05 (step @p353 :rule cong :premises (@p352 @p194) :args (@t29)) % 0.83/1.05 (step @p354 :rule trans :premises (@p353 @p254 @p273)) % 0.83/1.05 (step @p355 :rule cong :premises (@p354 @p272) :args (@t31)) % 0.83/1.05 (step @p356 :rule trans :premises (@p355 @p16)) % 0.83/1.05 (step @p357 :rule eq_resolve :premises (@p356 @p14)) % 0.83/1.05 (step @p358 :rule false_elim :premises (@p357)) % 0.83/1.05 (assume-push @p369 @t98) % 0.83/1.05 (step @p360 :rule instantiate :premises (@p7) :args ((@list tptp.b2 @t25 @t16))) % 0.83/1.05 (step-pop @p370 :rule scope :premises (@p360)) % 0.83/1.05 (step @p361 :rule process_scope :premises (@p370) :args (@t30)) % 0.83/1.05 (step @p363 :rule implies_elim :premises (@p361)) % 0.83/1.05 (step @p364 false :rule chain_m_resolution :premises (@p363 @p358 @p7) :args (false (@list true false) (@list @t30 @t98))) % 0.83/1.05 ) % 0.83/1.05 % SZS output end Proof % 0.83/1.05 % cvc5 exiting %------------------------------------------------------------------------------