TSTP Solution File: HEN011-4 by SATCoP---0.1
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%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : HEN011-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n021.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 : 600s
% DateTime : Sat Jul 16 13:02:14 EDT 2022
% Result : Unsatisfiable 2.88s 0.81s
% Output : Proof 2.88s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sPE(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),divide(identity,divide(identity,a)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this)]) ).
cnf(g1,plain,
( ~ sPE(divide(divide(identity,b),divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,b))))
| sPE(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),divide(identity,divide(identity,a)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g2,plain,
( ~ less_equal(divide(divide(identity,b),divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,b))))
| ~ less_equal(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),divide(identity,divide(identity,a))))
| sPE(divide(divide(identity,b),divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,b)))) ),
inference(ground_cnf,[],[file('Axioms/HEN002-0.ax',less_equal_and_equal)]) ).
cnf(g3,plain,
( ~ less_equal(divide(divide(identity,a),divide(divide(identity,b),divide(identity,divide(identity,a)))),divide(identity,divide(identity,b)))
| less_equal(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),divide(identity,divide(identity,a)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide1)]) ).
cnf(g4,plain,
( ~ less_equal(divide(divide(identity,b),divide(divide(identity,a),divide(identity,divide(identity,b)))),divide(identity,divide(identity,a)))
| less_equal(divide(divide(identity,b),divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,b)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide1)]) ).
cnf(g5,plain,
sPE(divide(divide(identity,b),divide(identity,divide(identity,b))),divide(identity,b)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_inversion)]) ).
cnf(g6,plain,
less_equal(identity,identity),
inference(ground_cnf,[],[file('Axioms/HEN002-0.ax',identity_is_largest)]) ).
cnf(g7,plain,
( ~ less_equal(identity,identity)
| less_equal(divide(identity,a),divide(identity,a)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide3)]) ).
cnf(g8,plain,
less_equal(divide(identity,b),identity),
inference(ground_cnf,[],[file('Axioms/HEN002-0.ax',identity_is_largest)]) ).
cnf(g9,plain,
( ~ less_equal(divide(identity,b),identity)
| less_equal(divide(divide(identity,b),divide(identity,divide(identity,b))),divide(identity,divide(identity,divide(identity,b)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide3)]) ).
cnf(g10,plain,
( ~ less_equal(divide(identity,divide(identity,a)),a)
| less_equal(divide(divide(identity,b),a),divide(divide(identity,b),divide(identity,divide(identity,a)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide2)]) ).
cnf(g11,plain,
less_equal(divide(divide(identity,divide(identity,b)),a),divide(identity,divide(identity,b))),
inference(ground_cnf,[],[file('Axioms/HEN002-0.ax',quotient_smaller_than_numerator)]) ).
cnf(g12,plain,
sPE(divide(identity,divide(identity,divide(identity,b))),divide(identity,divide(identity,divide(identity,b)))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g13,plain,
less_equal(divide(divide(identity,divide(identity,divide(identity,b))),divide(divide(identity,a),divide(identity,divide(identity,b)))),divide(divide(identity,divide(identity,a)),divide(identity,divide(identity,b)))),
inference(ground_cnf,[],[file('Axioms/HEN002-0.ax',quotient_property)]) ).
cnf(g14,plain,
( ~ less_equal(divide(divide(identity,b),divide(divide(identity,a),divide(identity,divide(identity,b)))),divide(divide(identity,divide(identity,a)),divide(identity,divide(identity,b))))
| ~ less_equal(divide(divide(identity,divide(identity,a)),divide(identity,divide(identity,b))),divide(identity,divide(identity,a)))
| less_equal(divide(divide(identity,b),divide(divide(identity,a),divide(identity,divide(identity,b)))),divide(identity,divide(identity,a))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_less_equal)]) ).
cnf(g15,plain,
less_equal(divide(divide(identity,divide(identity,a)),divide(identity,divide(identity,b))),divide(identity,divide(identity,a))),
inference(ground_cnf,[],[file('Axioms/HEN002-0.ax',quotient_smaller_than_numerator)]) ).
cnf(g16,plain,
( ~ less_equal(divide(divide(identity,b),divide(divide(identity,a),divide(identity,divide(identity,b)))),divide(divide(identity,divide(identity,divide(identity,b))),divide(divide(identity,a),divide(identity,divide(identity,b)))))
| ~ less_equal(divide(divide(identity,divide(identity,divide(identity,b))),divide(divide(identity,a),divide(identity,divide(identity,b)))),divide(divide(identity,divide(identity,a)),divide(identity,divide(identity,b))))
| less_equal(divide(divide(identity,b),divide(divide(identity,a),divide(identity,divide(identity,b)))),divide(divide(identity,divide(identity,a)),divide(identity,divide(identity,b)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_less_equal)]) ).
cnf(g17,plain,
( ~ less_equal(divide(identity,b),divide(identity,divide(identity,divide(identity,b))))
| less_equal(divide(divide(identity,b),divide(divide(identity,a),divide(identity,divide(identity,b)))),divide(divide(identity,divide(identity,divide(identity,b))),divide(divide(identity,a),divide(identity,divide(identity,b))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide3)]) ).
cnf(g18,plain,
( ~ less_equal(divide(divide(identity,a),divide(divide(identity,b),divide(identity,divide(identity,a)))),divide(divide(identity,a),divide(divide(identity,b),a)))
| ~ less_equal(divide(divide(identity,a),divide(divide(identity,b),a)),divide(identity,divide(identity,b)))
| less_equal(divide(divide(identity,a),divide(divide(identity,b),divide(identity,divide(identity,a)))),divide(identity,divide(identity,b))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_less_equal)]) ).
cnf(g19,plain,
( ~ less_equal(divide(divide(identity,a),divide(divide(identity,b),a)),divide(divide(identity,divide(identity,b)),a))
| ~ less_equal(divide(divide(identity,divide(identity,b)),a),divide(identity,divide(identity,b)))
| less_equal(divide(divide(identity,a),divide(divide(identity,b),a)),divide(identity,divide(identity,b))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_less_equal)]) ).
cnf(g20,plain,
less_equal(divide(divide(identity,a),divide(divide(identity,b),a)),divide(divide(identity,divide(identity,b)),a)),
inference(ground_cnf,[],[file('Axioms/HEN002-0.ax',quotient_property)]) ).
cnf(g21,plain,
( ~ less_equal(divide(divide(identity,b),a),divide(divide(identity,b),divide(identity,divide(identity,a))))
| less_equal(divide(divide(identity,a),divide(divide(identity,b),divide(identity,divide(identity,a)))),divide(divide(identity,a),divide(divide(identity,b),a))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide2)]) ).
cnf(g22,plain,
( ~ less_equal(divide(identity,a),divide(identity,a))
| less_equal(divide(identity,divide(identity,a)),a) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide1)]) ).
cnf(g23,plain,
( ~ sPE(divide(divide(identity,b),divide(identity,divide(identity,b))),divide(identity,b))
| ~ sPE(divide(identity,divide(identity,divide(identity,b))),divide(identity,divide(identity,divide(identity,b))))
| ~ less_equal(divide(divide(identity,b),divide(identity,divide(identity,b))),divide(identity,divide(identity,divide(identity,b))))
| less_equal(divide(identity,b),divide(identity,divide(identity,divide(identity,b)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : HEN011-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.08/0.14 % Command : satcop --statistics %s
% 0.15/0.35 % Computer : n021.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Fri Jul 1 14:07:59 EDT 2022
% 0.15/0.35 % CPUTime :
% 2.88/0.81 % symbols: 8
% 2.88/0.81 % clauses: 23
% 2.88/0.81 % start clauses: 1
% 2.88/0.81 % iterative deepening steps: 1075
% 2.88/0.81 % maximum path limit: 6
% 2.88/0.81 % literal attempts: 406116
% 2.88/0.81 % depth failures: 259616
% 2.88/0.81 % regularity failures: 25265
% 2.88/0.81 % tautology failures: 19282
% 2.88/0.81 % reductions: 0
% 2.88/0.81 % extensions: 405570
% 2.88/0.81 % SAT variables: 64302
% 2.88/0.81 % SAT clauses: 106008
% 2.88/0.81 % WalkSAT solutions: 106008
% 2.88/0.81 % CDCL solutions: 0
% 2.88/0.81 % SZS status Unsatisfiable for theBenchmark
% 2.88/0.81 % SZS output start ListOfCNF for theBenchmark
% See solution above
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