TSTP Solution File: HEN010-7 by SATCoP---0.1
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%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : HEN010-7 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n025.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 13:02:12 EDT 2022
% Result : Unsatisfiable 18.22s 2.65s
% Output : Proof 18.22s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sPE(idQa,idQa_Q__idQ_idQa),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_idQa_equals_idQa_Q__idQ_idQa)]) ).
cnf(g1,plain,
( ~ sPE(idQa_Q__idQ_idQa,idQa)
| sPE(idQa,idQa_Q__idQ_idQa) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g2,plain,
quotient(identity,a,idQa),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_a)]) ).
cnf(g3,plain,
quotient(idQa,idQ_idQa,idQa_Q__idQ_idQa),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_idQ_idQa)]) ).
cnf(g4,plain,
less_equal(idQa,identity),
inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',identity_is_largest)]) ).
cnf(g5,plain,
quotient(identity,idQa,idQ_idQa),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_idQa)]) ).
cnf(g6,plain,
( ~ quotient(identity,a,idQa_Q__idQ_idQa)
| ~ quotient(identity,a,idQa)
| sPE(idQa_Q__idQ_idQa,idQa) ),
inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',well_defined)]) ).
cnf(g7,plain,
sPE(identity,identity),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g8,plain,
sPE(a,a),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g9,plain,
quotient(identity,a,divide(identity,a)),
inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',closure)]) ).
cnf(g10,plain,
( ~ less_equal(divide(identity,a),idQa_Q__idQ_idQa)
| ~ less_equal(idQa_Q__idQ_idQa,divide(identity,a))
| sPE(divide(identity,a),idQa_Q__idQ_idQa) ),
inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',less_equal_and_equal)]) ).
cnf(g11,plain,
less_equal(identity,identity),
inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',identity_is_largest)]) ).
cnf(g12,plain,
quotient(idQ_idQa,idQ_idQa,zero),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero)]) ).
cnf(g13,plain,
( ~ sPE(identity,identity)
| ~ sPE(a,a)
| ~ sPE(divide(identity,a),idQa_Q__idQ_idQa)
| ~ quotient(identity,a,divide(identity,a))
| quotient(identity,a,idQa_Q__idQ_idQa) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g14,plain,
sPE(idQ_idQa,idQ_idQa),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g15,plain,
( ~ less_equal(identity,identity)
| ~ quotient(identity,a,idQa)
| ~ quotient(identity,a,idQa)
| less_equal(idQa,idQa) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',xLEy_implies_xQzLEyQz)]) ).
cnf(g16,plain,
less_equal(zero,idQ_idQa),
inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',zero_is_smallest)]) ).
cnf(g17,plain,
quotient(identity,idQ_idQa,divide(identity,idQ_idQa)),
inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',closure)]) ).
cnf(g18,plain,
( ~ less_equal(identity,identity)
| ~ quotient(identity,a,idQa)
| ~ quotient(identity,a,divide(identity,a))
| less_equal(idQa,divide(identity,a)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',xLEy_implies_xQzLEyQz)]) ).
cnf(g19,plain,
( ~ less_equal(zero,idQ_idQa)
| ~ quotient(idQa,divide(identity,a),zero)
| ~ quotient(idQa,idQ_idQa,idQa_Q__idQ_idQa)
| less_equal(idQa_Q__idQ_idQa,divide(identity,a)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',xQyLEz_implies_xQzLEy)]) ).
cnf(g20,plain,
( ~ less_equal(idQa,divide(identity,a))
| quotient(idQa,divide(identity,a),zero) ),
inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',quotient_less_equal)]) ).
cnf(g21,plain,
( ~ less_equal(idQa,idQa)
| ~ quotient(identity,a,idQa)
| ~ quotient(identity,idQa,idQ_idQa)
| less_equal(idQ_idQa,a) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',xQyLEz_implies_xQzLEy)]) ).
cnf(g22,plain,
( ~ less_equal(idQ_idQa,a)
| ~ quotient(identity,idQ_idQa,idQa_Q__idQ_idQa)
| ~ quotient(identity,a,divide(identity,a))
| less_equal(divide(identity,a),idQa_Q__idQ_idQa) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',xLEy_implies_zQyLEzQx)]) ).
cnf(g23,plain,
( ~ less_equal(idQa,identity)
| ~ quotient(idQa,idQ_idQa,idQa_Q__idQ_idQa)
| ~ quotient(identity,idQ_idQa,divide(identity,idQ_idQa))
| less_equal(idQa_Q__idQ_idQa,divide(identity,idQ_idQa)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',xLEy_implies_xQzLEyQz)]) ).
cnf(g24,plain,
quotient(divide(identity,idQ_idQa),zero,divide(identity,idQ_idQa)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divde_zero_is_x)]) ).
cnf(g25,plain,
( ~ less_equal(divide(identity,idQ_idQa),idQa_Q__idQ_idQa)
| ~ less_equal(idQa_Q__idQ_idQa,divide(identity,idQ_idQa))
| sPE(divide(identity,idQ_idQa),idQa_Q__idQ_idQa) ),
inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',less_equal_and_equal)]) ).
cnf(g26,plain,
( ~ less_equal(divide(divide(identity,idQ_idQa),idQa_Q__idQ_idQa),zero)
| ~ quotient(divide(identity,idQ_idQa),idQa_Q__idQ_idQa,divide(divide(identity,idQ_idQa),idQa_Q__idQ_idQa))
| ~ quotient(divide(identity,idQ_idQa),zero,divide(identity,idQ_idQa))
| less_equal(divide(identity,idQ_idQa),idQa_Q__idQ_idQa) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',xQyLEz_implies_xQzLEy)]) ).
cnf(g27,plain,
quotient(divide(identity,idQ_idQa),idQa_Q__idQ_idQa,divide(divide(identity,idQ_idQa),idQa_Q__idQ_idQa)),
inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',closure)]) ).
cnf(g28,plain,
( ~ quotient(identity,idQa,idQ_idQa)
| ~ quotient(identity,idQ_idQa,divide(identity,idQ_idQa))
| ~ quotient(idQa,idQ_idQa,idQa_Q__idQ_idQa)
| ~ quotient(idQ_idQa,idQ_idQa,zero)
| ~ quotient(divide(identity,idQ_idQa),idQa_Q__idQ_idQa,divide(divide(identity,idQ_idQa),idQa_Q__idQ_idQa))
| less_equal(divide(divide(identity,idQ_idQa),idQa_Q__idQ_idQa),zero) ),
inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',quotient_property)]) ).
cnf(g29,plain,
( ~ sPE(identity,identity)
| ~ sPE(idQ_idQa,idQ_idQa)
| ~ sPE(divide(identity,idQ_idQa),idQa_Q__idQ_idQa)
| ~ quotient(identity,idQ_idQa,divide(identity,idQ_idQa))
| quotient(identity,idQ_idQa,idQa_Q__idQ_idQa) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : HEN010-7 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : satcop --statistics %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jul 1 13:27:54 EDT 2022
% 0.13/0.33 % CPUTime :
% 18.22/2.65 % symbols: 11
% 18.22/2.65 % clauses: 27
% 18.22/2.65 % start clauses: 1
% 18.22/2.65 % iterative deepening steps: 2372
% 18.22/2.65 % maximum path limit: 11
% 18.22/2.65 % literal attempts: 2236712
% 18.22/2.65 % depth failures: 1361936
% 18.22/2.65 % regularity failures: 92693
% 18.22/2.65 % tautology failures: 154694
% 18.22/2.65 % reductions: 0
% 18.22/2.65 % extensions: 2236388
% 18.22/2.65 % SAT variables: 88180
% 18.22/2.65 % SAT clauses: 323272
% 18.22/2.65 % WalkSAT solutions: 323272
% 18.22/2.65 % CDCL solutions: 0
% 18.22/2.65 % SZS status Unsatisfiable for theBenchmark
% 18.22/2.65 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------