TSTP Solution File: ARI181_1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI181_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n027.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 May 29 16:33:19 EDT 2024
% Result : Theorem 0.38s 0.56s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ARI181_1 : TPTP v8.2.0. Released v5.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 27 05:41:09 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.22/0.51 %----Proving TF0_ARI
% 0.38/0.56 --- Run --finite-model-find --decision=internal at 15...
% 0.38/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.38/0.56 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.yWa4FDqJrH/cvc5---1.0.5_14419.smt2
% 0.38/0.56 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.yWa4FDqJrH/cvc5---1.0.5_14419.smt2
% 0.38/0.56 (assume a0 (not (=> (forall ((U Int)) (> (tptp.f U) U)) (>= (tptp.f (tptp.f (tptp.f 6))) 9))))
% 0.38/0.56 (assume a1 true)
% 0.38/0.56 (step t1 (cl (not (= (or (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) (not (>= (tptp.f 6) 7)) (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) (or (>= (tptp.f (tptp.f (tptp.f 6))) 9) (not (>= (tptp.f 6) 7)) (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0) (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) (not (or (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) (not (>= (tptp.f 6) 7)) (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))))) (or (>= (tptp.f (tptp.f (tptp.f 6))) 9) (not (>= (tptp.f 6) 7)) (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0) (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) :rule equiv_pos2)
% 0.38/0.56 (step t2 (cl (= (= (= (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) (>= (tptp.f (tptp.f (tptp.f 6))) 9)) true) (= (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) :rule equiv_simplify)
% 0.38/0.56 (step t3 (cl (not (= (= (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) (>= (tptp.f (tptp.f (tptp.f 6))) 9)) true)) (= (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) (>= (tptp.f (tptp.f (tptp.f 6))) 9))) :rule equiv1 :premises (t2))
% 0.38/0.56 (step t4 (cl (= (= (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (= (>= (tptp.f (tptp.f (tptp.f 6))) 9) (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))))) :rule all_simplify)
% 0.38/0.56 (step t5 (cl (= (>= (tptp.f (tptp.f (tptp.f 6))) 9) (>= (tptp.f (tptp.f (tptp.f 6))) 9))) :rule refl)
% 0.38/0.56 (step t6 (cl (= (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) (>= (tptp.f (tptp.f (tptp.f 6))) 9))) :rule all_simplify)
% 0.38/0.56 (step t7 (cl (= (= (>= (tptp.f (tptp.f (tptp.f 6))) 9) (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) (= (>= (tptp.f (tptp.f (tptp.f 6))) 9) (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) :rule cong :premises (t5 t6))
% 0.38/0.56 (step t8 (cl (= (= (>= (tptp.f (tptp.f (tptp.f 6))) 9) (>= (tptp.f (tptp.f (tptp.f 6))) 9)) true)) :rule all_simplify)
% 0.38/0.56 (step t9 (cl (= (= (>= (tptp.f (tptp.f (tptp.f 6))) 9) (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) true)) :rule trans :premises (t7 t8))
% 0.38/0.56 (step t10 (cl (= (= (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) (>= (tptp.f (tptp.f (tptp.f 6))) 9)) true)) :rule trans :premises (t4 t9))
% 0.38/0.56 (step t11 (cl (= (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) (>= (tptp.f (tptp.f (tptp.f 6))) 9))) :rule resolution :premises (t3 t10))
% 0.38/0.56 (step t12 (cl (= (not (>= (tptp.f 6) 7)) (not (>= (tptp.f 6) 7)))) :rule refl)
% 0.38/0.56 (step t13 (cl (= (= (= (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) true) (= (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)))) :rule equiv_simplify)
% 0.38/0.56 (step t14 (cl (not (= (= (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) true)) (= (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) :rule equiv1 :premises (t13))
% 0.38/0.56 (step t15 (cl (= (= (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (= (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0) (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)))))) :rule all_simplify)
% 0.38/0.56 (step t16 (cl (= (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0) (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) :rule refl)
% 0.38/0.56 (step t17 (cl (= (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) :rule all_simplify)
% 0.38/0.56 (step t18 (cl (= (= (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0) (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)))) (= (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0) (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)))) :rule cong :premises (t16 t17))
% 0.38/0.56 (step t19 (cl (= (= (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0) (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) true)) :rule all_simplify)
% 0.38/0.56 (step t20 (cl (= (= (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0) (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)))) true)) :rule trans :premises (t18 t19))
% 0.38/0.56 (step t21 (cl (= (= (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) true)) :rule trans :premises (t15 t20))
% 0.38/0.56 (step t22 (cl (= (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) :rule resolution :premises (t14 t21))
% 0.38/0.56 (step t23 (cl (= (= (= (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) true) (= (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) :rule equiv_simplify)
% 0.38/0.56 (step t24 (cl (not (= (= (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) true)) (= (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) :rule equiv1 :premises (t23))
% 0.38/0.56 (step t25 (cl (= (= (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (= (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0) (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))))) :rule all_simplify)
% 0.38/0.56 (step t26 (cl (= (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0) (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) :rule refl)
% 0.38/0.56 (step t27 (cl (= (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) :rule all_simplify)
% 0.38/0.56 (step t28 (cl (= (= (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0) (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) (= (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0) (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) :rule cong :premises (t26 t27))
% 0.38/0.56 (step t29 (cl (= (= (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0) (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) true)) :rule all_simplify)
% 0.38/0.56 (step t30 (cl (= (= (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0) (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) true)) :rule trans :premises (t28 t29))
% 0.38/0.56 (step t31 (cl (= (= (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) true)) :rule trans :premises (t25 t30))
% 0.38/0.56 (step t32 (cl (= (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) :rule resolution :premises (t24 t31))
% 0.38/0.56 (step t33 (cl (= (or (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) (not (>= (tptp.f 6) 7)) (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) (or (>= (tptp.f (tptp.f (tptp.f 6))) 9) (not (>= (tptp.f 6) 7)) (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0) (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) :rule cong :premises (t11 t12 t22 t32))
% 0.38/0.56 (step t34 (cl (not (= (=> (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) (not (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))))) (not (=> (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))))) (not (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))))) :rule equiv_pos2)
% 0.38/0.56 (step t35 (cl (= (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))))) :rule refl)
% 0.38/0.56 (step t36 (cl (= (= (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) false) (not (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))))) :rule equiv_simplify)
% 0.38/0.56 (step t37 (cl (= (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) false) (not (not (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))))) :rule equiv2 :premises (t36))
% 0.38/0.56 (step t38 (cl (not (not (not (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))))) (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) :rule not_not)
% 0.38/0.56 (step t39 (cl (= (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) false) (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) :rule resolution :premises (t37 t38))
% 0.38/0.56 (step t40 (cl (=> (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) false) (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) :rule implies_neg1)
% 0.38/0.56 (anchor :step t41)
% 0.38/0.56 (assume t41.a0 (>= (tptp.f 6) 7))
% 0.38/0.56 (assume t41.a1 (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)))
% 0.38/0.56 (assume t41.a2 (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))
% 0.38/0.56 (assume t41.a3 (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))
% 0.38/0.56 (step t41.t1 (cl (not (= (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (< (tptp.f (tptp.f (tptp.f 6))) 9))) (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) (< (tptp.f (tptp.f (tptp.f 6))) 9)) :rule equiv_pos2)
% 0.38/0.56 (step t41.t2 (cl (= (< (tptp.f (tptp.f (tptp.f 6))) 9) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) :rule all_simplify)
% 0.38/0.56 (step t41.t3 (cl (= (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (< (tptp.f (tptp.f (tptp.f 6))) 9))) :rule symm :premises (t41.t2))
% 0.38/0.56 (step t41.t4 (cl (< (tptp.f (tptp.f (tptp.f 6))) 9)) :rule resolution :premises (t41.t1 t41.t3 t41.a3))
% 0.38/0.56 (step t41.t5 (cl (not (= (>= (tptp.f (tptp.f (tptp.f 6))) 9) (not (< (tptp.f (tptp.f (tptp.f 6))) 9)))) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (not (< (tptp.f (tptp.f (tptp.f 6))) 9))) :rule equiv_pos2)
% 0.38/0.56 (step t41.t6 (cl (= (not (< (tptp.f (tptp.f (tptp.f 6))) 9)) (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))))) :rule cong :premises (t41.t2))
% 0.38/0.56 (step t41.t7 (cl (= (not (< (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f (tptp.f (tptp.f 6))) 9))) :rule trans :premises (t41.t6 t6))
% 0.38/0.56 (step t41.t8 (cl (= (>= (tptp.f (tptp.f (tptp.f 6))) 9) (not (< (tptp.f (tptp.f (tptp.f 6))) 9)))) :rule symm :premises (t41.t7))
% 0.38/0.56 (step t41.t9 (cl (not (= (not (< (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f (tptp.f (tptp.f 6))) 9))) (not (not (< (tptp.f (tptp.f (tptp.f 6))) 9))) (>= (tptp.f (tptp.f (tptp.f 6))) 9)) :rule equiv_pos2)
% 0.38/0.56 (step t41.t10 (cl (=> (< (tptp.f (tptp.f (tptp.f 6))) 9) false) (< (tptp.f (tptp.f (tptp.f 6))) 9)) :rule implies_neg1)
% 0.38/0.56 (anchor :step t41.t11)
% 0.38/0.56 (assume t41.t11.a0 (< (tptp.f (tptp.f (tptp.f 6))) 9))
% 0.38/0.56 (step t41.t11.t1 (cl (not (= (< (+ (* 1.0 (tptp.f (tptp.f (tptp.f 6)))) (* 1.0 (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6)))))) (* 1.0 (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6))))) (* (- 1.0) (tptp.f 6))) (+ (* 1.0 9) (* 1.0 (- 1)) (* 1.0 (- 1)) (* (- 1.0) 7))) false)) (not (< (+ (* 1.0 (tptp.f (tptp.f (tptp.f 6)))) (* 1.0 (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6)))))) (* 1.0 (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6))))) (* (- 1.0) (tptp.f 6))) (+ (* 1.0 9) (* 1.0 (- 1)) (* 1.0 (- 1)) (* (- 1.0) 7)))) false) :rule equiv_pos2)
% 0.38/0.56 (step t41.t11.t2 (cl (= (< (+ (* 1.0 (tptp.f (tptp.f (tptp.f 6)))) (* 1.0 (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6)))))) (* 1.0 (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6))))) (* (- 1.0) (tptp.f 6))) (+ (* 1.0 9) (* 1.0 (- 1)) (* 1.0 (- 1)) (* (- 1.0) 7))) (not (>= (+ (* 1.0 (tptp.f (tptp.f (tptp.f 6)))) (* 1.0 (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6)))))) (* 1.0 (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6))))) (* (- 1.0) (tptp.f 6))) (+ (* 1.0 9) (* 1.0 (- 1)) (* 1.0 (- 1)) (* (- 1.0) 7)))))) :rule all_simplify)
% 0.38/0.56 (step t41.t11.t3 (cl (= (* 1.0 (tptp.f (tptp.f (tptp.f 6)))) (to_real (tptp.f (tptp.f (tptp.f 6)))))) :rule all_simplify)
% 0.38/0.56 (step t41.t11.t4 (cl (= (* 1.0 (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6)))))) (to_real (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6)))))))) :rule all_simplify)
% 0.38/0.56 (step t41.t11.t5 (cl (= (* 1.0 (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6))))) (to_real (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6))))))) :rule all_simplify)
% 0.38/0.56 (step t41.t11.t6 (cl (= (* (- 1.0) (tptp.f 6)) (to_real (* (- 1) (tptp.f 6))))) :rule all_simplify)
% 0.38/0.56 (step t41.t11.t7 (cl (= (+ (* 1.0 (tptp.f (tptp.f (tptp.f 6)))) (* 1.0 (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6)))))) (* 1.0 (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6))))) (* (- 1.0) (tptp.f 6))) (+ (to_real (tptp.f (tptp.f (tptp.f 6)))) (to_real (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6)))))) (to_real (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6))))) (to_real (* (- 1) (tptp.f 6)))))) :rule cong :premises (t41.t11.t3 t41.t11.t4 t41.t11.t5 t41.t11.t6))
% 0.38/0.56 (step t41.t11.t8 (cl (= (+ (to_real (tptp.f (tptp.f (tptp.f 6)))) (to_real (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6)))))) (to_real (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6))))) (to_real (* (- 1) (tptp.f 6)))) 0.0)) :rule all_simplify)
% 0.38/0.56 (step t41.t11.t9 (cl (= (+ (* 1.0 (tptp.f (tptp.f (tptp.f 6)))) (* 1.0 (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6)))))) (* 1.0 (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6))))) (* (- 1.0) (tptp.f 6))) 0.0)) :rule trans :premises (t41.t11.t7 t41.t11.t8))
% 0.38/0.56 (step t41.t11.t10 (cl (= (* 1.0 9) 9.0)) :rule all_simplify)
% 0.38/0.56 (step t41.t11.t11 (cl (= (* 1.0 (- 1)) (- 1.0))) :rule all_simplify)
% 0.38/0.56 (step t41.t11.t12 (cl (= (* (- 1.0) 7) (- 7.0))) :rule all_simplify)
% 0.38/0.56 (step t41.t11.t13 (cl (= (+ (* 1.0 9) (* 1.0 (- 1)) (* 1.0 (- 1)) (* (- 1.0) 7)) (+ 9.0 (- 1.0) (- 1.0) (- 7.0)))) :rule cong :premises (t41.t11.t10 t41.t11.t11 t41.t11.t11 t41.t11.t12))
% 0.38/0.56 (step t41.t11.t14 (cl (= (+ 9.0 (- 1.0) (- 1.0) (- 7.0)) 0.0)) :rule all_simplify)
% 0.38/0.56 (step t41.t11.t15 (cl (= (+ (* 1.0 9) (* 1.0 (- 1)) (* 1.0 (- 1)) (* (- 1.0) 7)) 0.0)) :rule trans :premises (t41.t11.t13 t41.t11.t14))
% 0.38/0.56 (step t41.t11.t16 (cl (= (>= (+ (* 1.0 (tptp.f (tptp.f (tptp.f 6)))) (* 1.0 (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6)))))) (* 1.0 (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6))))) (* (- 1.0) (tptp.f 6))) (+ (* 1.0 9) (* 1.0 (- 1)) (* 1.0 (- 1)) (* (- 1.0) 7))) (>= 0.0 0.0))) :rule cong :premises (t41.t11.t9 t41.t11.t15))
% 0.38/0.56 (step t41.t11.t17 (cl (= (>= 0.0 0.0) true)) :rule all_simplify)
% 0.38/0.56 (step t41.t11.t18 (cl (= (>= (+ (* 1.0 (tptp.f (tptp.f (tptp.f 6)))) (* 1.0 (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6)))))) (* 1.0 (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6))))) (* (- 1.0) (tptp.f 6))) (+ (* 1.0 9) (* 1.0 (- 1)) (* 1.0 (- 1)) (* (- 1.0) 7))) true)) :rule trans :premises (t41.t11.t16 t41.t11.t17))
% 0.38/0.56 (step t41.t11.t19 (cl (= (not (>= (+ (* 1.0 (tptp.f (tptp.f (tptp.f 6)))) (* 1.0 (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6)))))) (* 1.0 (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6))))) (* (- 1.0) (tptp.f 6))) (+ (* 1.0 9) (* 1.0 (- 1)) (* 1.0 (- 1)) (* (- 1.0) 7)))) (not true))) :rule cong :premises (t41.t11.t18))
% 0.38/0.56 (step t41.t11.t20 (cl (= (not true) false)) :rule all_simplify)
% 0.38/0.56 (step t41.t11.t21 (cl (= (not (>= (+ (* 1.0 (tptp.f (tptp.f (tptp.f 6)))) (* 1.0 (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6)))))) (* 1.0 (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6))))) (* (- 1.0) (tptp.f 6))) (+ (* 1.0 9) (* 1.0 (- 1)) (* 1.0 (- 1)) (* (- 1.0) 7)))) false)) :rule trans :premises (t41.t11.t19 t41.t11.t20))
% 0.38/0.56 (step t41.t11.t22 (cl (= (< (+ (* 1.0 (tptp.f (tptp.f (tptp.f 6)))) (* 1.0 (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6)))))) (* 1.0 (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6))))) (* (- 1.0) (tptp.f 6))) (+ (* 1.0 9) (* 1.0 (- 1)) (* 1.0 (- 1)) (* (- 1.0) 7))) false)) :rule trans :premises (t41.t11.t2 t41.t11.t21))
% 0.38/0.56 (step t41.t11.t23 (cl (not (< (* 1.0 (tptp.f (tptp.f (tptp.f 6)))) (* 1.0 9))) (not (<= (* 1.0 (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6)))))) (* 1.0 (- 1)))) (not (<= (* 1.0 (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6))))) (* 1.0 (- 1)))) (not (<= (* (- 1.0) (tptp.f 6)) (* (- 1.0) 7))) (< (+ (* 1.0 (tptp.f (tptp.f (tptp.f 6)))) (* 1.0 (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6)))))) (* 1.0 (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6))))) (* (- 1.0) (tptp.f 6))) (+ (* 1.0 9) (* 1.0 (- 1)) (* 1.0 (- 1)) (* (- 1.0) 7)))) :rule la_generic :args (1 1 1 1 1))
% 0.38/0.56 (step t41.t11.t24 (cl (=> (and (> 1.0 0) (< (tptp.f (tptp.f (tptp.f 6))) 9)) (< (* 1.0 (tptp.f (tptp.f (tptp.f 6)))) (* 1.0 9)))) :rule la_mult_pos)
% 0.38/0.56 (step t41.t11.t25 (cl (not (and (> 1.0 0) (< (tptp.f (tptp.f (tptp.f 6))) 9))) (< (* 1.0 (tptp.f (tptp.f (tptp.f 6)))) (* 1.0 9))) :rule implies :premises (t41.t11.t24))
% 0.38/0.56 (step t41.t11.t26 (cl (and (> 1.0 0) (< (tptp.f (tptp.f (tptp.f 6))) 9)) (not (> 1.0 0)) (not (< (tptp.f (tptp.f (tptp.f 6))) 9))) :rule and_neg)
% 0.38/0.56 (step t41.t11.t27 (cl (= (= (> 1.0 0) true) (> 1.0 0))) :rule equiv_simplify)
% 0.38/0.56 (step t41.t11.t28 (cl (not (= (> 1.0 0) true)) (> 1.0 0)) :rule equiv1 :premises (t41.t11.t27))
% 0.38/0.56 (step t41.t11.t29 (cl (= (> 1.0 0) true)) :rule hole :args ((> 1.0 0)))
% 0.38/0.56 (step t41.t11.t30 (cl (> 1.0 0)) :rule resolution :premises (t41.t11.t28 t41.t11.t29))
% 0.38/0.56 (step t41.t11.t31 (cl (and (> 1.0 0) (< (tptp.f (tptp.f (tptp.f 6))) 9))) :rule resolution :premises (t41.t11.t26 t41.t11.t30 t41.t11.a0))
% 0.38/0.56 (step t41.t11.t32 (cl (< (* 1.0 (tptp.f (tptp.f (tptp.f 6)))) (* 1.0 9))) :rule resolution :premises (t41.t11.t25 t41.t11.t31))
% 0.38/0.56 (step t41.t11.t33 (cl (=> (and (> 1.0 0) (<= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) (- 1))) (<= (* 1.0 (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6)))))) (* 1.0 (- 1))))) :rule la_mult_pos)
% 0.38/0.56 (step t41.t11.t34 (cl (not (and (> 1.0 0) (<= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) (- 1)))) (<= (* 1.0 (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6)))))) (* 1.0 (- 1)))) :rule implies :premises (t41.t11.t33))
% 0.38/0.56 (step t41.t11.t35 (cl (and (> 1.0 0) (<= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) (- 1))) (not (> 1.0 0)) (not (<= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) (- 1)))) :rule and_neg)
% 0.38/0.56 (step t41.t11.t36 (cl (not (< (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (<= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) (- 1))) :rule la_generic :args (1 1))
% 0.38/0.56 (step t41.t11.t37 (cl (not (= (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (< (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) (< (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) :rule equiv_pos2)
% 0.38/0.56 (step t41.t11.t38 (cl (= (< (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) :rule all_simplify)
% 0.38/0.56 (step t41.t11.t39 (cl (= (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (< (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) :rule symm :premises (t41.t11.t38))
% 0.38/0.56 (step t41.t11.t40 (cl (< (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) :rule resolution :premises (t41.t11.t37 t41.t11.t39 t41.a2))
% 0.38/0.56 (step t41.t11.t41 (cl (<= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) (- 1))) :rule resolution :premises (t41.t11.t36 t41.t11.t40))
% 0.38/0.56 (step t41.t11.t42 (cl (and (> 1.0 0) (<= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) (- 1)))) :rule resolution :premises (t41.t11.t35 t41.t11.t30 t41.t11.t41))
% 0.38/0.56 (step t41.t11.t43 (cl (<= (* 1.0 (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6)))))) (* 1.0 (- 1)))) :rule resolution :premises (t41.t11.t34 t41.t11.t42))
% 0.38/0.56 (step t41.t11.t44 (cl (=> (and (> 1.0 0) (<= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) (- 1))) (<= (* 1.0 (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6))))) (* 1.0 (- 1))))) :rule la_mult_pos)
% 0.38/0.56 (step t41.t11.t45 (cl (not (and (> 1.0 0) (<= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) (- 1)))) (<= (* 1.0 (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6))))) (* 1.0 (- 1)))) :rule implies :premises (t41.t11.t44))
% 0.38/0.56 (step t41.t11.t46 (cl (and (> 1.0 0) (<= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) (- 1))) (not (> 1.0 0)) (not (<= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) (- 1)))) :rule and_neg)
% 0.38/0.56 (step t41.t11.t47 (cl (not (< (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (<= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) (- 1))) :rule la_generic :args (1 1))
% 0.38/0.56 (step t41.t11.t48 (cl (not (= (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (< (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (< (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) :rule equiv_pos2)
% 0.38/0.56 (step t41.t11.t49 (cl (= (< (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)))) :rule all_simplify)
% 0.38/0.56 (step t41.t11.t50 (cl (= (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (< (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) :rule symm :premises (t41.t11.t49))
% 0.38/0.56 (step t41.t11.t51 (cl (< (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) :rule resolution :premises (t41.t11.t48 t41.t11.t50 t41.a1))
% 0.38/0.56 (step t41.t11.t52 (cl (<= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) (- 1))) :rule resolution :premises (t41.t11.t47 t41.t11.t51))
% 0.38/0.56 (step t41.t11.t53 (cl (and (> 1.0 0) (<= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) (- 1)))) :rule resolution :premises (t41.t11.t46 t41.t11.t30 t41.t11.t52))
% 0.38/0.56 (step t41.t11.t54 (cl (<= (* 1.0 (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6))))) (* 1.0 (- 1)))) :rule resolution :premises (t41.t11.t45 t41.t11.t53))
% 0.38/0.56 (step t41.t11.t55 (cl (=> (and (< (- 1.0) 0) (>= (tptp.f 6) 7)) (<= (* (- 1.0) (tptp.f 6)) (* (- 1.0) 7)))) :rule la_mult_neg)
% 0.38/0.56 (step t41.t11.t56 (cl (not (and (< (- 1.0) 0) (>= (tptp.f 6) 7))) (<= (* (- 1.0) (tptp.f 6)) (* (- 1.0) 7))) :rule implies :premises (t41.t11.t55))
% 0.38/0.56 (step t41.t11.t57 (cl (and (< (- 1.0) 0) (>= (tptp.f 6) 7)) (not (< (- 1.0) 0)) (not (>= (tptp.f 6) 7))) :rule and_neg)
% 0.38/0.56 (step t41.t11.t58 (cl (= (= (< (- 1.0) 0) true) (< (- 1.0) 0))) :rule equiv_simplify)
% 0.38/0.56 (step t41.t11.t59 (cl (not (= (< (- 1.0) 0) true)) (< (- 1.0) 0)) :rule equiv1 :premises (t41.t11.t58))
% 0.38/0.56 (step t41.t11.t60 (cl (= (< (- 1.0) 0) true)) :rule hole :args ((< (- 1.0) 0)))
% 0.38/0.56 (step t41.t11.t61 (cl (< (- 1.0) 0)) :rule resolution :premises (t41.t11.t59 t41.t11.t60))
% 0.38/0.56 (step t41.t11.t62 (cl (and (< (- 1.0) 0) (>= (tptp.f 6) 7))) :rule resolution :premises (t41.t11.t57 t41.t11.t61 t41.a0))
% 0.38/0.56 (step t41.t11.t63 (cl (<= (* (- 1.0) (tptp.f 6)) (* (- 1.0) 7))) :rule resolution :premises (t41.t11.t56 t41.t11.t62))
% 0.38/0.56 (step t41.t11.t64 (cl (< (+ (* 1.0 (tptp.f (tptp.f (tptp.f 6)))) (* 1.0 (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6)))))) (* 1.0 (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6))))) (* (- 1.0) (tptp.f 6))) (+ (* 1.0 9) (* 1.0 (- 1)) (* 1.0 (- 1)) (* (- 1.0) 7)))) :rule resolution :premises (t41.t11.t23 t41.t11.t32 t41.t11.t43 t41.t11.t54 t41.t11.t63))
% 0.38/0.56 (step t41.t11.t65 (cl false) :rule resolution :premises (t41.t11.t1 t41.t11.t22 t41.t11.t64))
% 0.38/0.56 (step t41.t11 (cl (not (< (tptp.f (tptp.f (tptp.f 6))) 9)) false) :rule subproof :discharge (t41.t11.a0))
% 0.38/0.56 (step t41.t12 (cl (=> (< (tptp.f (tptp.f (tptp.f 6))) 9) false) false) :rule resolution :premises (t41.t10 t41.t11))
% 0.38/0.56 (step t41.t13 (cl (=> (< (tptp.f (tptp.f (tptp.f 6))) 9) false) (not false)) :rule implies_neg2)
% 0.38/0.56 (step t41.t14 (cl (=> (< (tptp.f (tptp.f (tptp.f 6))) 9) false) (=> (< (tptp.f (tptp.f (tptp.f 6))) 9) false)) :rule resolution :premises (t41.t12 t41.t13))
% 0.38/0.56 (step t41.t15 (cl (=> (< (tptp.f (tptp.f (tptp.f 6))) 9) false)) :rule contraction :premises (t41.t14))
% 0.38/0.56 (step t41.t16 (cl (= (=> (< (tptp.f (tptp.f (tptp.f 6))) 9) false) (not (< (tptp.f (tptp.f (tptp.f 6))) 9)))) :rule implies_simplify)
% 0.38/0.56 (step t41.t17 (cl (not (=> (< (tptp.f (tptp.f (tptp.f 6))) 9) false)) (not (< (tptp.f (tptp.f (tptp.f 6))) 9))) :rule equiv1 :premises (t41.t16))
% 0.38/0.56 (step t41.t18 (cl (not (< (tptp.f (tptp.f (tptp.f 6))) 9))) :rule resolution :premises (t41.t15 t41.t17))
% 0.38/0.56 (step t41.t19 (cl (>= (tptp.f (tptp.f (tptp.f 6))) 9)) :rule resolution :premises (t41.t9 t41.t7 t41.t18))
% 0.38/0.56 (step t41.t20 (cl (not (< (tptp.f (tptp.f (tptp.f 6))) 9))) :rule resolution :premises (t41.t5 t41.t8 t41.t19))
% 0.38/0.56 (step t41.t21 (cl) :rule resolution :premises (t41.t4 t41.t20))
% 0.38/0.56 (step t41 (cl (not (>= (tptp.f 6) 7)) (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) false) :rule subproof :discharge (t41.a0 t41.a1 t41.a2 t41.a3))
% 0.38/0.56 (step t42 (cl (not (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) (>= (tptp.f 6) 7)) :rule and_pos)
% 0.38/0.56 (step t43 (cl (not (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) :rule and_pos)
% 0.38/0.56 (step t44 (cl (not (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) :rule and_pos)
% 0.38/0.56 (step t45 (cl (not (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) :rule and_pos)
% 0.38/0.56 (step t46 (cl false (not (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) (not (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) (not (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) (not (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))))) :rule resolution :premises (t41 t42 t43 t44 t45))
% 0.38/0.56 (step t47 (cl (not (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) (not (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) (not (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) (not (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) false) :rule reordering :premises (t46))
% 0.38/0.56 (step t48 (cl (not (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) false) :rule contraction :premises (t47))
% 0.38/0.56 (step t49 (cl (=> (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) false) false) :rule resolution :premises (t40 t48))
% 0.38/0.56 (step t50 (cl (=> (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) false) (not false)) :rule implies_neg2)
% 0.38/0.56 (step t51 (cl (=> (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) false) (=> (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) false)) :rule resolution :premises (t49 t50))
% 0.38/0.56 (step t52 (cl (=> (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) false)) :rule contraction :premises (t51))
% 0.38/0.56 (step t53 (cl (= (=> (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) false) (not (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))))) :rule implies_simplify)
% 0.38/0.56 (step t54 (cl (not (=> (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) false)) (not (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))))) :rule equiv1 :premises (t53))
% 0.38/0.56 (step t55 (cl (not (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))))) :rule resolution :premises (t52 t54))
% 0.38/0.56 (step t56 (cl (= (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) false)) :rule resolution :premises (t39 t55))
% 0.38/0.56 (step t57 (cl (= (=> (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) (=> (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) false))) :rule cong :premises (t35 t56))
% 0.38/0.56 (step t58 (cl (= (=> (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) false) (not (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))))) :rule all_simplify)
% 0.38/0.56 (step t59 (cl (= (=> (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) (not (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))))) :rule trans :premises (t57 t58))
% 0.38/0.56 (step t60 (cl (=> (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) :rule implies_neg1)
% 0.38/0.56 (anchor :step t61)
% 0.38/0.56 (assume t61.a0 (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))
% 0.38/0.56 (assume t61.a1 (>= (tptp.f 6) 7))
% 0.38/0.56 (assume t61.a2 (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)))
% 0.38/0.56 (assume t61.a3 (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))
% 0.38/0.56 (step t61.t1 (cl (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) (not (>= (tptp.f 6) 7)) (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) :rule and_neg)
% 0.38/0.56 (step t61.t2 (cl (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) :rule resolution :premises (t61.t1 t61.a1 t61.a2 t61.a3 t61.a0))
% 0.38/0.56 (step t61 (cl (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) (not (>= (tptp.f 6) 7)) (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) :rule subproof :discharge (t61.a0 t61.a1 t61.a2 t61.a3))
% 0.38/0.56 (step t62 (cl (not (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) :rule and_pos)
% 0.38/0.56 (step t63 (cl (not (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) (>= (tptp.f 6) 7)) :rule and_pos)
% 0.38/0.56 (step t64 (cl (not (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) :rule and_pos)
% 0.38/0.56 (step t65 (cl (not (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) :rule and_pos)
% 0.38/0.56 (step t66 (cl (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) (not (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) (not (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) (not (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) (not (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))))) :rule resolution :premises (t61 t62 t63 t64 t65))
% 0.38/0.56 (step t67 (cl (not (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) (not (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) (not (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) (not (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) :rule reordering :premises (t66))
% 0.38/0.56 (step t68 (cl (not (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) :rule contraction :premises (t67))
% 0.38/0.56 (step t69 (cl (=> (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) :rule resolution :premises (t60 t68))
% 0.38/0.56 (step t70 (cl (=> (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) (not (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))))) :rule implies_neg2)
% 0.38/0.56 (step t71 (cl (=> (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) (=> (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))))) :rule resolution :premises (t69 t70))
% 0.38/0.56 (step t72 (cl (=> (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) (and (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))))) :rule contraction :premises (t71))
% 0.38/0.56 (step t73 (cl (not (and (not (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (>= (tptp.f 6) 7) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))))) :rule resolution :premises (t34 t59 t72))
% 0.38/0.56 (step t74 (cl (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) (not (>= (tptp.f 6) 7)) (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) :rule not_and :premises (t73))
% 0.38/0.56 (step t75 (cl (or (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) (not (>= (tptp.f 6) 7)) (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) (not (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))))) :rule or_neg)
% 0.38/0.56 (step t76 (cl (or (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) (not (>= (tptp.f 6) 7)) (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) (not (not (>= (tptp.f 6) 7)))) :rule or_neg)
% 0.38/0.56 (step t77 (cl (or (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) (not (>= (tptp.f 6) 7)) (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) (not (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))))) :rule or_neg)
% 0.38/0.56 (step t78 (cl (or (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) (not (>= (tptp.f 6) 7)) (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) (not (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))))) :rule or_neg)
% 0.38/0.56 (step t79 (cl (or (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) (not (>= (tptp.f 6) 7)) (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) (or (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) (not (>= (tptp.f 6) 7)) (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) (or (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) (not (>= (tptp.f 6) 7)) (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) (or (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) (not (>= (tptp.f 6) 7)) (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))))) :rule resolution :premises (t74 t75 t76 t77 t78))
% 0.38/0.56 (step t80 (cl (or (not (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) (not (>= (tptp.f 6) 7)) (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))))) :rule contraction :premises (t79))
% 0.38/0.56 (step t81 (cl (or (>= (tptp.f (tptp.f (tptp.f 6))) 9) (not (>= (tptp.f 6) 7)) (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0) (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) :rule resolution :premises (t1 t33 t80))
% 0.38/0.56 (step t82 (cl (>= (tptp.f (tptp.f (tptp.f 6))) 9) (not (>= (tptp.f 6) 7)) (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0) (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)) :rule or :premises (t81))
% 0.38/0.56 (step t83 (cl (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0)))) :rule implies_neg1)
% 0.38/0.56 (anchor :step t84)
% 0.38/0.56 (assume t84.a0 (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))))
% 0.38/0.56 (step t84.t1 (cl (or (not (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0)))) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) :rule forall_inst :args ((:= U (tptp.f (tptp.f 6)))))
% 0.38/0.56 (step t84.t2 (cl (not (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0)))) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) :rule or :premises (t84.t1))
% 0.38/0.56 (step t84.t3 (cl (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) :rule resolution :premises (t84.t2 t84.a0))
% 0.38/0.56 (step t84 (cl (not (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0)))) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) :rule subproof :discharge (t84.a0))
% 0.38/0.56 (step t85 (cl (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) :rule resolution :premises (t83 t84))
% 0.38/0.56 (step t86 (cl (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) (not (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) :rule implies_neg2)
% 0.38/0.56 (step t87 (cl (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) :rule resolution :premises (t85 t86))
% 0.38/0.56 (step t88 (cl (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0)))) :rule contraction :premises (t87))
% 0.38/0.56 (step t89 (cl (not (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0)))) (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) :rule implies :premises (t88))
% 0.38/0.56 (step t90 (cl (not (= (not (=> (forall ((U Int)) (> (tptp.f U) U)) (>= (tptp.f (tptp.f (tptp.f 6))) 9))) (not (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (>= (tptp.f (tptp.f (tptp.f 6))) 9))))) (not (not (=> (forall ((U Int)) (> (tptp.f U) U)) (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) (not (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) :rule equiv_pos2)
% 0.38/0.56 (anchor :step t91 :args ((U Int) (:= U U)))
% 0.38/0.56 (step t91.t1 (cl (= U U)) :rule refl)
% 0.38/0.56 (step t91.t2 (cl (= (> (tptp.f U) U) (not (<= (tptp.f U) U)))) :rule all_simplify)
% 0.38/0.56 (step t91.t3 (cl (= (<= (tptp.f U) U) (>= (+ U (* (- 1) (tptp.f U))) 0))) :rule all_simplify)
% 0.38/0.56 (step t91.t4 (cl (= (not (<= (tptp.f U) U)) (not (>= (+ U (* (- 1) (tptp.f U))) 0)))) :rule cong :premises (t91.t3))
% 0.38/0.56 (step t91.t5 (cl (= (> (tptp.f U) U) (not (>= (+ U (* (- 1) (tptp.f U))) 0)))) :rule trans :premises (t91.t2 t91.t4))
% 0.38/0.56 (step t91 (cl (= (forall ((U Int)) (> (tptp.f U) U)) (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))))) :rule bind)
% 0.38/0.56 (step t92 (cl (= (=> (forall ((U Int)) (> (tptp.f U) U)) (>= (tptp.f (tptp.f (tptp.f 6))) 9)) (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) :rule cong :premises (t91 t5))
% 0.38/0.56 (step t93 (cl (= (not (=> (forall ((U Int)) (> (tptp.f U) U)) (>= (tptp.f (tptp.f (tptp.f 6))) 9))) (not (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (>= (tptp.f (tptp.f (tptp.f 6))) 9))))) :rule cong :premises (t92))
% 0.38/0.56 (step t94 (cl (not (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (>= (tptp.f (tptp.f (tptp.f 6))) 9)))) :rule resolution :premises (t90 t93 a0))
% 0.38/0.56 (step t95 (cl (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0)))) :rule not_implies1 :premises (t94))
% 0.38/0.56 (step t96 (cl (not (>= (+ (tptp.f (tptp.f 6)) (* (- 1) (tptp.f (tptp.f (tptp.f 6))))) 0))) :rule resolution :premises (t89 t95))
% 0.38/0.56 (step t97 (cl (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0)))) :rule implies_neg1)
% 0.38/0.56 (anchor :step t98)
% 0.38/0.56 (assume t98.a0 (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))))
% 0.38/0.56 (step t98.t1 (cl (or (not (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0)))) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)))) :rule forall_inst :args ((:= U (tptp.f 6))))
% 0.38/0.56 (step t98.t2 (cl (not (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0)))) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) :rule or :premises (t98.t1))
% 0.38/0.56 (step t98.t3 (cl (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) :rule resolution :premises (t98.t2 t98.a0))
% 0.38/0.56 (step t98 (cl (not (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0)))) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) :rule subproof :discharge (t98.a0))
% 0.38/0.56 (step t99 (cl (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) :rule resolution :premises (t97 t98))
% 0.38/0.56 (step t100 (cl (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (not (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)))) :rule implies_neg2)
% 0.38/0.56 (step t101 (cl (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)))) :rule resolution :premises (t99 t100))
% 0.38/0.56 (step t102 (cl (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0)))) :rule contraction :premises (t101))
% 0.38/0.56 (step t103 (cl (not (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0)))) (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) :rule implies :premises (t102))
% 0.38/0.56 (step t104 (cl (not (>= (+ (tptp.f 6) (* (- 1) (tptp.f (tptp.f 6)))) 0))) :rule resolution :premises (t103 t95))
% 0.38/0.56 (step t105 (cl (not (= (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (not (>= (+ 6 (* (- 1) (tptp.f 6))) 0))) (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (>= (tptp.f 6) 7)))) (not (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (not (>= (+ 6 (* (- 1) (tptp.f 6))) 0)))) (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (>= (tptp.f 6) 7))) :rule equiv_pos2)
% 0.38/0.56 (step t106 (cl (= (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))))) :rule refl)
% 0.38/0.56 (step t107 (cl (= (>= (+ 6 (* (- 1) (tptp.f 6))) 0) (not (>= (tptp.f 6) 7)))) :rule all_simplify)
% 0.38/0.56 (step t108 (cl (= (not (>= (+ 6 (* (- 1) (tptp.f 6))) 0)) (not (not (>= (tptp.f 6) 7))))) :rule cong :premises (t107))
% 0.38/0.56 (step t109 (cl (= (not (not (>= (tptp.f 6) 7))) (>= (tptp.f 6) 7))) :rule all_simplify)
% 0.38/0.56 (step t110 (cl (= (not (>= (+ 6 (* (- 1) (tptp.f 6))) 0)) (>= (tptp.f 6) 7))) :rule trans :premises (t108 t109))
% 0.38/0.56 (step t111 (cl (= (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (not (>= (+ 6 (* (- 1) (tptp.f 6))) 0))) (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (>= (tptp.f 6) 7)))) :rule cong :premises (t106 t110))
% 0.38/0.56 (step t112 (cl (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (not (>= (+ 6 (* (- 1) (tptp.f 6))) 0))) (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0)))) :rule implies_neg1)
% 0.38/0.56 (anchor :step t113)
% 0.38/0.56 (assume t113.a0 (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))))
% 0.38/0.56 (step t113.t1 (cl (or (not (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0)))) (not (>= (+ 6 (* (- 1) (tptp.f 6))) 0)))) :rule forall_inst :args ((:= U 6)))
% 0.38/0.56 (step t113.t2 (cl (not (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0)))) (not (>= (+ 6 (* (- 1) (tptp.f 6))) 0))) :rule or :premises (t113.t1))
% 0.38/0.56 (step t113.t3 (cl (not (>= (+ 6 (* (- 1) (tptp.f 6))) 0))) :rule resolution :premises (t113.t2 t113.a0))
% 0.38/0.56 (step t113 (cl (not (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0)))) (not (>= (+ 6 (* (- 1) (tptp.f 6))) 0))) :rule subproof :discharge (t113.a0))
% 0.38/0.56 (step t114 (cl (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (not (>= (+ 6 (* (- 1) (tptp.f 6))) 0))) (not (>= (+ 6 (* (- 1) (tptp.f 6))) 0))) :rule resolution :premises (t112 t113))
% 0.38/0.56 (step t115 (cl (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (not (>= (+ 6 (* (- 1) (tptp.f 6))) 0))) (not (not (>= (+ 6 (* (- 1) (tptp.f 6))) 0)))) :rule implies_neg2)
% 0.38/0.56 (step t116 (cl (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (not (>= (+ 6 (* (- 1) (tptp.f 6))) 0))) (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (not (>= (+ 6 (* (- 1) (tptp.f 6))) 0)))) :rule resolution :premises (t114 t115))
% 0.38/0.56 (step t117 (cl (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (not (>= (+ 6 (* (- 1) (tptp.f 6))) 0)))) :rule contraction :premises (t116))
% 0.38/0.56 (step t118 (cl (=> (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))) (>= (tptp.f 6) 7))) :rule resolution :premises (t105 t111 t117))
% 0.38/0.56 (step t119 (cl (not (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0)))) (>= (tptp.f 6) 7)) :rule implies :premises (t118))
% 0.38/0.56 (step t120 (cl (>= (tptp.f 6) 7)) :rule resolution :premises (t119 t95))
% 0.38/0.57 (step t121 (cl (not (>= (tptp.f (tptp.f (tptp.f 6))) 9))) :rule not_implies2 :premises (t94))
% 0.38/0.57 (step t122 (cl) :rule resolution :premises (t82 t96 t104 t120 t121))
% 0.38/0.57
% 0.38/0.57 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.yWa4FDqJrH/cvc5---1.0.5_14419.smt2
% 0.38/0.57 % cvc5---1.0.5 exiting
% 0.38/0.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------