%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : PUZ132+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:30:58 PM UTC 2026
% Result : Theorem 0.09s 0.45s
% Output : Proof 0.09s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ132+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 22:45:39 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.45 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 0.09/0.45
% 0.09/0.45 % SZS status Theorem
% 0.09/0.45
% 0.09/0.45 % SZS output start Proof
% 0.09/0.45 Axiom 1 (washington_type): capital(washington) = true.
% 0.09/0.45 Axiom 2 (usa_type): country(usa) = true.
% 0.09/0.45 Axiom 3 (usa_capital_axiom): capital_city(usa) = washington.
% 0.09/0.45 Axiom 4 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.09/0.45 Axiom 5 (capital_city_type): ifeq(capital(X), true, city(X), true) = true.
% 0.09/0.45 Axiom 6 (beautiful_capital_axiom): ifeq(country(X), true, beautiful(capital_city(X)), true) = true.
% 0.09/0.45 Axiom 7 (crime_axiom): ifeq(city(X), true, has_crime(X), true) = true.
% 0.09/0.45
% 0.09/0.45 Goal 1 (washington_conjecture): tuple(has_crime(washington), beautiful(washington)) = tuple(true, true).
% 0.09/0.45 Proof:
% 0.09/0.45 tuple(has_crime(washington), beautiful(washington))
% 0.09/0.45 = { by axiom 3 (usa_capital_axiom) R->L }
% 0.09/0.45 tuple(has_crime(washington), beautiful(capital_city(usa)))
% 0.09/0.45 = { by axiom 4 (ifeq_axiom) R->L }
% 0.09/0.45 tuple(has_crime(washington), ifeq(true, true, beautiful(capital_city(usa)), true))
% 0.09/0.45 = { by axiom 2 (usa_type) R->L }
% 0.09/0.46 tuple(has_crime(washington), ifeq(country(usa), true, beautiful(capital_city(usa)), true))
% 0.09/0.46 = { by axiom 6 (beautiful_capital_axiom) }
% 0.09/0.46 tuple(has_crime(washington), true)
% 0.09/0.46 = { by axiom 4 (ifeq_axiom) R->L }
% 0.09/0.46 tuple(ifeq(true, true, has_crime(washington), true), true)
% 0.09/0.46 = { by axiom 5 (capital_city_type) R->L }
% 0.09/0.46 tuple(ifeq(ifeq(capital(washington), true, city(washington), true), true, has_crime(washington), true), true)
% 0.09/0.46 = { by axiom 1 (washington_type) }
% 0.09/0.46 tuple(ifeq(ifeq(true, true, city(washington), true), true, has_crime(washington), true), true)
% 0.09/0.46 = { by axiom 4 (ifeq_axiom) }
% 0.09/0.46 tuple(ifeq(city(washington), true, has_crime(washington), true), true)
% 0.09/0.46 = { by axiom 7 (crime_axiom) }
% 0.09/0.46 tuple(true, true)
% 0.09/0.46 % SZS output end Proof
% 0.09/0.46
% 0.09/0.46 RESULT: Theorem (the conjecture is true).
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