TSTP Solution File: PUZ132+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PUZ132+1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n026.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 17:39:29 EDT 2024

% Result   : Theorem 0.21s 0.53s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : PUZ132+1 : TPTP v8.2.0. Released v4.1.0.
% 0.11/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat May 25 20:01:09 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.53  % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.zNsrVyVnz7/cvc5---1.0.5_3305.smt2
% 0.21/0.53  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.zNsrVyVnz7/cvc5---1.0.5_3305.smt2
% 0.21/0.53  (assume a0 (exists ((A $$unsorted)) (tptp.capital A)))
% 0.21/0.53  (assume a1 (exists ((A $$unsorted)) (tptp.city A)))
% 0.21/0.53  (assume a2 (forall ((A $$unsorted)) (=> (tptp.capital A) (tptp.city A))))
% 0.21/0.53  (assume a3 (exists ((A $$unsorted)) (tptp.country A)))
% 0.21/0.53  (assume a4 (tptp.capital tptp.washington))
% 0.21/0.53  (assume a5 (tptp.country tptp.usa))
% 0.21/0.53  (assume a6 (forall ((A $$unsorted)) (=> (tptp.country A) (tptp.capital (tptp.capital_city A)))))
% 0.21/0.53  (assume a7 (forall ((X $$unsorted)) (=> (tptp.city X) (tptp.has_crime X))))
% 0.21/0.53  (assume a8 (= (tptp.capital_city tptp.usa) tptp.washington))
% 0.21/0.53  (assume a9 (forall ((X $$unsorted)) (=> (tptp.country X) (tptp.beautiful (tptp.capital_city X)))))
% 0.21/0.53  (assume a10 (not (and (tptp.beautiful tptp.washington) (tptp.has_crime tptp.washington))))
% 0.21/0.53  (assume a11 true)
% 0.21/0.53  (step t1 (cl (and (= tptp.washington (tptp.capital_city tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa))) (not (= tptp.washington (tptp.capital_city tptp.usa))) (not (tptp.beautiful (tptp.capital_city tptp.usa)))) :rule and_neg)
% 0.21/0.53  (step t2 (cl (=> (and (= tptp.washington (tptp.capital_city tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa))) (tptp.beautiful tptp.washington)) (and (= tptp.washington (tptp.capital_city tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa)))) :rule implies_neg1)
% 0.21/0.53  (anchor :step t3)
% 0.21/0.53  (assume t3.a0 (= tptp.washington (tptp.capital_city tptp.usa)))
% 0.21/0.53  (assume t3.a1 (tptp.beautiful (tptp.capital_city tptp.usa)))
% 0.21/0.53  (step t3.t1 (cl (=> (and (tptp.beautiful (tptp.capital_city tptp.usa)) (= tptp.washington (tptp.capital_city tptp.usa))) (tptp.beautiful tptp.washington)) (and (tptp.beautiful (tptp.capital_city tptp.usa)) (= tptp.washington (tptp.capital_city tptp.usa)))) :rule implies_neg1)
% 0.21/0.53  (anchor :step t3.t2)
% 0.21/0.53  (assume t3.t2.a0 (tptp.beautiful (tptp.capital_city tptp.usa)))
% 0.21/0.53  (assume t3.t2.a1 (= tptp.washington (tptp.capital_city tptp.usa)))
% 0.21/0.53  (step t3.t2.t1 (cl (= (= (tptp.beautiful tptp.washington) true) (tptp.beautiful tptp.washington))) :rule equiv_simplify)
% 0.21/0.53  (step t3.t2.t2 (cl (not (= (tptp.beautiful tptp.washington) true)) (tptp.beautiful tptp.washington)) :rule equiv1 :premises (t3.t2.t1))
% 0.21/0.53  (step t3.t2.t3 (cl (= (tptp.capital_city tptp.usa) tptp.washington)) :rule symm :premises (t3.t2.a1))
% 0.21/0.53  (step t3.t2.t4 (cl (= tptp.washington (tptp.capital_city tptp.usa))) :rule symm :premises (t3.t2.t3))
% 0.21/0.53  (step t3.t2.t5 (cl (= (tptp.beautiful tptp.washington) (tptp.beautiful (tptp.capital_city tptp.usa)))) :rule cong :premises (t3.t2.t4))
% 0.21/0.53  (step t3.t2.t6 (cl (= (= (tptp.beautiful (tptp.capital_city tptp.usa)) true) (tptp.beautiful (tptp.capital_city tptp.usa)))) :rule equiv_simplify)
% 0.21/0.53  (step t3.t2.t7 (cl (= (tptp.beautiful (tptp.capital_city tptp.usa)) true) (not (tptp.beautiful (tptp.capital_city tptp.usa)))) :rule equiv2 :premises (t3.t2.t6))
% 0.21/0.53  (step t3.t2.t8 (cl (= (tptp.beautiful (tptp.capital_city tptp.usa)) true)) :rule resolution :premises (t3.t2.t7 t3.t2.a0))
% 0.21/0.53  (step t3.t2.t9 (cl (= (tptp.beautiful tptp.washington) true)) :rule trans :premises (t3.t2.t5 t3.t2.t8))
% 0.21/0.53  (step t3.t2.t10 (cl (tptp.beautiful tptp.washington)) :rule resolution :premises (t3.t2.t2 t3.t2.t9))
% 0.21/0.53  (step t3.t2 (cl (not (tptp.beautiful (tptp.capital_city tptp.usa))) (not (= tptp.washington (tptp.capital_city tptp.usa))) (tptp.beautiful tptp.washington)) :rule subproof :discharge (t3.t2.a0 t3.t2.a1))
% 0.21/0.53  (step t3.t3 (cl (not (and (tptp.beautiful (tptp.capital_city tptp.usa)) (= tptp.washington (tptp.capital_city tptp.usa)))) (tptp.beautiful (tptp.capital_city tptp.usa))) :rule and_pos)
% 0.21/0.53  (step t3.t4 (cl (not (and (tptp.beautiful (tptp.capital_city tptp.usa)) (= tptp.washington (tptp.capital_city tptp.usa)))) (= tptp.washington (tptp.capital_city tptp.usa))) :rule and_pos)
% 0.21/0.53  (step t3.t5 (cl (tptp.beautiful tptp.washington) (not (and (tptp.beautiful (tptp.capital_city tptp.usa)) (= tptp.washington (tptp.capital_city tptp.usa)))) (not (and (tptp.beautiful (tptp.capital_city tptp.usa)) (= tptp.washington (tptp.capital_city tptp.usa))))) :rule resolution :premises (t3.t2 t3.t3 t3.t4))
% 0.21/0.53  (step t3.t6 (cl (not (and (tptp.beautiful (tptp.capital_city tptp.usa)) (= tptp.washington (tptp.capital_city tptp.usa)))) (not (and (tptp.beautiful (tptp.capital_city tptp.usa)) (= tptp.washington (tptp.capital_city tptp.usa)))) (tptp.beautiful tptp.washington)) :rule reordering :premises (t3.t5))
% 0.21/0.53  (step t3.t7 (cl (not (and (tptp.beautiful (tptp.capital_city tptp.usa)) (= tptp.washington (tptp.capital_city tptp.usa)))) (tptp.beautiful tptp.washington)) :rule contraction :premises (t3.t6))
% 0.21/0.53  (step t3.t8 (cl (=> (and (tptp.beautiful (tptp.capital_city tptp.usa)) (= tptp.washington (tptp.capital_city tptp.usa))) (tptp.beautiful tptp.washington)) (tptp.beautiful tptp.washington)) :rule resolution :premises (t3.t1 t3.t7))
% 0.21/0.53  (step t3.t9 (cl (=> (and (tptp.beautiful (tptp.capital_city tptp.usa)) (= tptp.washington (tptp.capital_city tptp.usa))) (tptp.beautiful tptp.washington)) (not (tptp.beautiful tptp.washington))) :rule implies_neg2)
% 0.21/0.53  (step t3.t10 (cl (=> (and (tptp.beautiful (tptp.capital_city tptp.usa)) (= tptp.washington (tptp.capital_city tptp.usa))) (tptp.beautiful tptp.washington)) (=> (and (tptp.beautiful (tptp.capital_city tptp.usa)) (= tptp.washington (tptp.capital_city tptp.usa))) (tptp.beautiful tptp.washington))) :rule resolution :premises (t3.t8 t3.t9))
% 0.21/0.53  (step t3.t11 (cl (=> (and (tptp.beautiful (tptp.capital_city tptp.usa)) (= tptp.washington (tptp.capital_city tptp.usa))) (tptp.beautiful tptp.washington))) :rule contraction :premises (t3.t10))
% 0.21/0.53  (step t3.t12 (cl (not (and (tptp.beautiful (tptp.capital_city tptp.usa)) (= tptp.washington (tptp.capital_city tptp.usa)))) (tptp.beautiful tptp.washington)) :rule implies :premises (t3.t11))
% 0.21/0.53  (step t3.t13 (cl (and (tptp.beautiful (tptp.capital_city tptp.usa)) (= tptp.washington (tptp.capital_city tptp.usa))) (not (tptp.beautiful (tptp.capital_city tptp.usa))) (not (= tptp.washington (tptp.capital_city tptp.usa)))) :rule and_neg)
% 0.21/0.53  (step t3.t14 (cl (and (tptp.beautiful (tptp.capital_city tptp.usa)) (= tptp.washington (tptp.capital_city tptp.usa)))) :rule resolution :premises (t3.t13 t3.a1 t3.a0))
% 0.21/0.53  (step t3.t15 (cl (tptp.beautiful tptp.washington)) :rule resolution :premises (t3.t12 t3.t14))
% 0.21/0.53  (step t3 (cl (not (= tptp.washington (tptp.capital_city tptp.usa))) (not (tptp.beautiful (tptp.capital_city tptp.usa))) (tptp.beautiful tptp.washington)) :rule subproof :discharge (t3.a0 t3.a1))
% 0.21/0.53  (step t4 (cl (not (and (= tptp.washington (tptp.capital_city tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa)))) (= tptp.washington (tptp.capital_city tptp.usa))) :rule and_pos)
% 0.21/0.53  (step t5 (cl (not (and (= tptp.washington (tptp.capital_city tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa)))) (tptp.beautiful (tptp.capital_city tptp.usa))) :rule and_pos)
% 0.21/0.53  (step t6 (cl (tptp.beautiful tptp.washington) (not (and (= tptp.washington (tptp.capital_city tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa)))) (not (and (= tptp.washington (tptp.capital_city tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa))))) :rule resolution :premises (t3 t4 t5))
% 0.21/0.53  (step t7 (cl (not (and (= tptp.washington (tptp.capital_city tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa)))) (not (and (= tptp.washington (tptp.capital_city tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa)))) (tptp.beautiful tptp.washington)) :rule reordering :premises (t6))
% 0.21/0.53  (step t8 (cl (not (and (= tptp.washington (tptp.capital_city tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa)))) (tptp.beautiful tptp.washington)) :rule contraction :premises (t7))
% 0.21/0.53  (step t9 (cl (=> (and (= tptp.washington (tptp.capital_city tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa))) (tptp.beautiful tptp.washington)) (tptp.beautiful tptp.washington)) :rule resolution :premises (t2 t8))
% 0.21/0.53  (step t10 (cl (=> (and (= tptp.washington (tptp.capital_city tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa))) (tptp.beautiful tptp.washington)) (not (tptp.beautiful tptp.washington))) :rule implies_neg2)
% 0.21/0.53  (step t11 (cl (=> (and (= tptp.washington (tptp.capital_city tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa))) (tptp.beautiful tptp.washington)) (=> (and (= tptp.washington (tptp.capital_city tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa))) (tptp.beautiful tptp.washington))) :rule resolution :premises (t9 t10))
% 0.21/0.53  (step t12 (cl (=> (and (= tptp.washington (tptp.capital_city tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa))) (tptp.beautiful tptp.washington))) :rule contraction :premises (t11))
% 0.21/0.53  (step t13 (cl (not (and (= tptp.washington (tptp.capital_city tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa)))) (tptp.beautiful tptp.washington)) :rule implies :premises (t12))
% 0.21/0.53  (step t14 (cl (not (= tptp.washington (tptp.capital_city tptp.usa))) (not (tptp.beautiful (tptp.capital_city tptp.usa))) (tptp.beautiful tptp.washington)) :rule resolution :premises (t1 t13))
% 0.21/0.53  (step t15 (cl (tptp.beautiful tptp.washington) (not (= tptp.washington (tptp.capital_city tptp.usa))) (not (tptp.beautiful (tptp.capital_city tptp.usa)))) :rule reordering :premises (t14))
% 0.21/0.53  (step t16 (cl (not (tptp.beautiful tptp.washington)) (not (tptp.has_crime tptp.washington))) :rule not_and :premises (a10))
% 0.21/0.53  (step t17 (cl (not (or (not (tptp.city tptp.washington)) (tptp.has_crime tptp.washington))) (not (tptp.city tptp.washington)) (tptp.has_crime tptp.washington)) :rule or_pos)
% 0.21/0.53  (step t18 (cl (tptp.has_crime tptp.washington) (not (tptp.city tptp.washington)) (not (or (not (tptp.city tptp.washington)) (tptp.has_crime tptp.washington)))) :rule reordering :premises (t17))
% 0.21/0.53  (step t19 (cl (not (or (not (tptp.capital tptp.washington)) (tptp.city tptp.washington))) (not (tptp.capital tptp.washington)) (tptp.city tptp.washington)) :rule or_pos)
% 0.21/0.53  (step t20 (cl (not (tptp.capital tptp.washington)) (tptp.city tptp.washington) (not (or (not (tptp.capital tptp.washington)) (tptp.city tptp.washington)))) :rule reordering :premises (t19))
% 0.21/0.53  (step t21 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.capital A)) (tptp.city A))) (or (not (tptp.capital tptp.washington)) (tptp.city tptp.washington))) (forall ((A $$unsorted)) (or (not (tptp.capital A)) (tptp.city A)))) :rule implies_neg1)
% 0.21/0.53  (anchor :step t22)
% 0.21/0.53  (assume t22.a0 (forall ((A $$unsorted)) (or (not (tptp.capital A)) (tptp.city A))))
% 0.21/0.53  (step t22.t1 (cl (or (not (forall ((A $$unsorted)) (or (not (tptp.capital A)) (tptp.city A)))) (or (not (tptp.capital tptp.washington)) (tptp.city tptp.washington)))) :rule forall_inst :args ((:= A tptp.washington)))
% 0.21/0.53  (step t22.t2 (cl (not (forall ((A $$unsorted)) (or (not (tptp.capital A)) (tptp.city A)))) (or (not (tptp.capital tptp.washington)) (tptp.city tptp.washington))) :rule or :premises (t22.t1))
% 0.21/0.53  (step t22.t3 (cl (or (not (tptp.capital tptp.washington)) (tptp.city tptp.washington))) :rule resolution :premises (t22.t2 t22.a0))
% 0.21/0.53  (step t22 (cl (not (forall ((A $$unsorted)) (or (not (tptp.capital A)) (tptp.city A)))) (or (not (tptp.capital tptp.washington)) (tptp.city tptp.washington))) :rule subproof :discharge (t22.a0))
% 0.21/0.53  (step t23 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.capital A)) (tptp.city A))) (or (not (tptp.capital tptp.washington)) (tptp.city tptp.washington))) (or (not (tptp.capital tptp.washington)) (tptp.city tptp.washington))) :rule resolution :premises (t21 t22))
% 0.21/0.53  (step t24 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.capital A)) (tptp.city A))) (or (not (tptp.capital tptp.washington)) (tptp.city tptp.washington))) (not (or (not (tptp.capital tptp.washington)) (tptp.city tptp.washington)))) :rule implies_neg2)
% 0.21/0.53  (step t25 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.capital A)) (tptp.city A))) (or (not (tptp.capital tptp.washington)) (tptp.city tptp.washington))) (=> (forall ((A $$unsorted)) (or (not (tptp.capital A)) (tptp.city A))) (or (not (tptp.capital tptp.washington)) (tptp.city tptp.washington)))) :rule resolution :premises (t23 t24))
% 0.21/0.53  (step t26 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.capital A)) (tptp.city A))) (or (not (tptp.capital tptp.washington)) (tptp.city tptp.washington)))) :rule contraction :premises (t25))
% 0.21/0.53  (step t27 (cl (not (forall ((A $$unsorted)) (or (not (tptp.capital A)) (tptp.city A)))) (or (not (tptp.capital tptp.washington)) (tptp.city tptp.washington))) :rule implies :premises (t26))
% 0.21/0.53  (step t28 (cl (not (= (forall ((A $$unsorted)) (=> (tptp.capital A) (tptp.city A))) (forall ((A $$unsorted)) (or (not (tptp.capital A)) (tptp.city A))))) (not (forall ((A $$unsorted)) (=> (tptp.capital A) (tptp.city A)))) (forall ((A $$unsorted)) (or (not (tptp.capital A)) (tptp.city A)))) :rule equiv_pos2)
% 0.21/0.53  (step t29 (cl (= (forall ((A $$unsorted)) (=> (tptp.capital A) (tptp.city A))) (forall ((A $$unsorted)) (or (not (tptp.capital A)) (tptp.city A))))) :rule all_simplify)
% 0.21/0.53  (step t30 (cl (forall ((A $$unsorted)) (or (not (tptp.capital A)) (tptp.city A)))) :rule resolution :premises (t28 t29 a2))
% 0.21/0.53  (step t31 (cl (or (not (tptp.capital tptp.washington)) (tptp.city tptp.washington))) :rule resolution :premises (t27 t30))
% 0.21/0.53  (step t32 (cl (tptp.city tptp.washington)) :rule resolution :premises (t20 a4 t31))
% 0.21/0.53  (step t33 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.city X)) (tptp.has_crime X))) (or (not (tptp.city tptp.washington)) (tptp.has_crime tptp.washington))) (forall ((X $$unsorted)) (or (not (tptp.city X)) (tptp.has_crime X)))) :rule implies_neg1)
% 0.21/0.53  (anchor :step t34)
% 0.21/0.53  (assume t34.a0 (forall ((X $$unsorted)) (or (not (tptp.city X)) (tptp.has_crime X))))
% 0.21/0.53  (step t34.t1 (cl (or (not (forall ((X $$unsorted)) (or (not (tptp.city X)) (tptp.has_crime X)))) (or (not (tptp.city tptp.washington)) (tptp.has_crime tptp.washington)))) :rule forall_inst :args ((:= X tptp.washington)))
% 0.21/0.53  (step t34.t2 (cl (not (forall ((X $$unsorted)) (or (not (tptp.city X)) (tptp.has_crime X)))) (or (not (tptp.city tptp.washington)) (tptp.has_crime tptp.washington))) :rule or :premises (t34.t1))
% 0.21/0.53  (step t34.t3 (cl (or (not (tptp.city tptp.washington)) (tptp.has_crime tptp.washington))) :rule resolution :premises (t34.t2 t34.a0))
% 0.21/0.53  (step t34 (cl (not (forall ((X $$unsorted)) (or (not (tptp.city X)) (tptp.has_crime X)))) (or (not (tptp.city tptp.washington)) (tptp.has_crime tptp.washington))) :rule subproof :discharge (t34.a0))
% 0.21/0.53  (step t35 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.city X)) (tptp.has_crime X))) (or (not (tptp.city tptp.washington)) (tptp.has_crime tptp.washington))) (or (not (tptp.city tptp.washington)) (tptp.has_crime tptp.washington))) :rule resolution :premises (t33 t34))
% 0.21/0.53  (step t36 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.city X)) (tptp.has_crime X))) (or (not (tptp.city tptp.washington)) (tptp.has_crime tptp.washington))) (not (or (not (tptp.city tptp.washington)) (tptp.has_crime tptp.washington)))) :rule implies_neg2)
% 0.21/0.53  (step t37 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.city X)) (tptp.has_crime X))) (or (not (tptp.city tptp.washington)) (tptp.has_crime tptp.washington))) (=> (forall ((X $$unsorted)) (or (not (tptp.city X)) (tptp.has_crime X))) (or (not (tptp.city tptp.washington)) (tptp.has_crime tptp.washington)))) :rule resolution :premises (t35 t36))
% 0.21/0.53  (step t38 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.city X)) (tptp.has_crime X))) (or (not (tptp.city tptp.washington)) (tptp.has_crime tptp.washington)))) :rule contraction :premises (t37))
% 0.21/0.53  (step t39 (cl (not (forall ((X $$unsorted)) (or (not (tptp.city X)) (tptp.has_crime X)))) (or (not (tptp.city tptp.washington)) (tptp.has_crime tptp.washington))) :rule implies :premises (t38))
% 0.21/0.53  (step t40 (cl (not (= (forall ((X $$unsorted)) (=> (tptp.city X) (tptp.has_crime X))) (forall ((X $$unsorted)) (or (not (tptp.city X)) (tptp.has_crime X))))) (not (forall ((X $$unsorted)) (=> (tptp.city X) (tptp.has_crime X)))) (forall ((X $$unsorted)) (or (not (tptp.city X)) (tptp.has_crime X)))) :rule equiv_pos2)
% 0.21/0.53  (step t41 (cl (= (forall ((X $$unsorted)) (=> (tptp.city X) (tptp.has_crime X))) (forall ((X $$unsorted)) (or (not (tptp.city X)) (tptp.has_crime X))))) :rule all_simplify)
% 0.21/0.53  (step t42 (cl (forall ((X $$unsorted)) (or (not (tptp.city X)) (tptp.has_crime X)))) :rule resolution :premises (t40 t41 a7))
% 0.21/0.53  (step t43 (cl (or (not (tptp.city tptp.washington)) (tptp.has_crime tptp.washington))) :rule resolution :premises (t39 t42))
% 0.21/0.53  (step t44 (cl (tptp.has_crime tptp.washington)) :rule resolution :premises (t18 t32 t43))
% 0.21/0.53  (step t45 (cl (not (tptp.beautiful tptp.washington))) :rule resolution :premises (t16 t44))
% 0.21/0.53  (step t46 (cl (not (or (not (tptp.country tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa)))) (not (tptp.country tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa))) :rule or_pos)
% 0.21/0.53  (step t47 (cl (not (tptp.country tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa)) (not (or (not (tptp.country tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa))))) :rule reordering :premises (t46))
% 0.21/0.53  (step t48 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.country X)) (tptp.beautiful (tptp.capital_city X)))) (or (not (tptp.country tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa)))) (forall ((X $$unsorted)) (or (not (tptp.country X)) (tptp.beautiful (tptp.capital_city X))))) :rule implies_neg1)
% 0.21/0.53  (anchor :step t49)
% 0.21/0.53  (assume t49.a0 (forall ((X $$unsorted)) (or (not (tptp.country X)) (tptp.beautiful (tptp.capital_city X)))))
% 0.21/0.53  (step t49.t1 (cl (or (not (forall ((X $$unsorted)) (or (not (tptp.country X)) (tptp.beautiful (tptp.capital_city X))))) (or (not (tptp.country tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa))))) :rule forall_inst :args ((:= X tptp.usa)))
% 0.21/0.53  (step t49.t2 (cl (not (forall ((X $$unsorted)) (or (not (tptp.country X)) (tptp.beautiful (tptp.capital_city X))))) (or (not (tptp.country tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa)))) :rule or :premises (t49.t1))
% 0.21/0.53  (step t49.t3 (cl (or (not (tptp.country tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa)))) :rule resolution :premises (t49.t2 t49.a0))
% 0.21/0.53  (step t49 (cl (not (forall ((X $$unsorted)) (or (not (tptp.country X)) (tptp.beautiful (tptp.capital_city X))))) (or (not (tptp.country tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa)))) :rule subproof :discharge (t49.a0))
% 0.21/0.53  (step t50 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.country X)) (tptp.beautiful (tptp.capital_city X)))) (or (not (tptp.country tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa)))) (or (not (tptp.country tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa)))) :rule resolution :premises (t48 t49))
% 0.21/0.53  (step t51 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.country X)) (tptp.beautiful (tptp.capital_city X)))) (or (not (tptp.country tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa)))) (not (or (not (tptp.country tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa))))) :rule implies_neg2)
% 0.21/0.53  (step t52 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.country X)) (tptp.beautiful (tptp.capital_city X)))) (or (not (tptp.country tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa)))) (=> (forall ((X $$unsorted)) (or (not (tptp.country X)) (tptp.beautiful (tptp.capital_city X)))) (or (not (tptp.country tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa))))) :rule resolution :premises (t50 t51))
% 0.21/0.53  (step t53 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.country X)) (tptp.beautiful (tptp.capital_city X)))) (or (not (tptp.country tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa))))) :rule contraction :premises (t52))
% 0.21/0.53  (step t54 (cl (not (forall ((X $$unsorted)) (or (not (tptp.country X)) (tptp.beautiful (tptp.capital_city X))))) (or (not (tptp.country tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa)))) :rule implies :premises (t53))
% 0.21/0.53  (step t55 (cl (not (= (forall ((X $$unsorted)) (=> (tptp.country X) (tptp.beautiful (tptp.capital_city X)))) (forall ((X $$unsorted)) (or (not (tptp.country X)) (tptp.beautiful (tptp.capital_city X)))))) (not (forall ((X $$unsorted)) (=> (tptp.country X) (tptp.beautiful (tptp.capital_city X))))) (forall ((X $$unsorted)) (or (not (tptp.country X)) (tptp.beautiful (tptp.capital_city X))))) :rule equiv_pos2)
% 0.21/0.53  (step t56 (cl (= (forall ((X $$unsorted)) (=> (tptp.country X) (tptp.beautiful (tptp.capital_city X)))) (forall ((X $$unsorted)) (or (not (tptp.country X)) (tptp.beautiful (tptp.capital_city X)))))) :rule all_simplify)
% 0.21/0.53  (step t57 (cl (forall ((X $$unsorted)) (or (not (tptp.country X)) (tptp.beautiful (tptp.capital_city X))))) :rule resolution :premises (t55 t56 a9))
% 0.21/0.53  (step t58 (cl (or (not (tptp.country tptp.usa)) (tptp.beautiful (tptp.capital_city tptp.usa)))) :rule resolution :premises (t54 t57))
% 0.21/0.53  (step t59 (cl (tptp.beautiful (tptp.capital_city tptp.usa))) :rule resolution :premises (t47 a5 t58))
% 0.21/0.53  (step t60 (cl (= tptp.washington (tptp.capital_city tptp.usa))) :rule symm :premises (a8))
% 0.21/0.53  (step t61 (cl) :rule resolution :premises (t15 t45 t59 t60))
% 0.21/0.53  
% 0.21/0.53  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.zNsrVyVnz7/cvc5---1.0.5_3305.smt2
% 0.21/0.53  % cvc5---1.0.5 exiting
% 0.21/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------