TSTP Solution File: BOO013-4 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : BOO013-4 : TPTP v8.1.0. Released v1.1.0.
% 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 : Thu Jul 14 23:48:43 EDT 2022
% Result : Unsatisfiable 236.53s 30.09s
% Output : Proof 236.53s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sPE(b,inverse(a)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_inverse_is_b)]) ).
cnf(g1,plain,
( ~ sPE(inverse(a),b)
| sPE(b,inverse(a)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g2,plain,
sPE(multiply(inverse(a),multiplicative_identity),inverse(a)),
inference(ground_cnf,[],[file('Axioms/BOO004-0.ax',multiplicative_id1)]) ).
cnf(g3,plain,
sPE(multiply(b,multiplicative_identity),b),
inference(ground_cnf,[],[file('Axioms/BOO004-0.ax',multiplicative_id1)]) ).
cnf(g4,plain,
( ~ sPE(multiply(b,multiplicative_identity),b)
| sPE(b,multiply(b,multiplicative_identity)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g5,plain,
sPE(add(b,additive_identity),b),
inference(ground_cnf,[],[file('Axioms/BOO004-0.ax',additive_id1)]) ).
cnf(g6,plain,
( ~ sPE(inverse(a),add(b,additive_identity))
| ~ sPE(add(b,additive_identity),b)
| sPE(inverse(a),b) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g7,plain,
sPE(add(a,inverse(a)),multiplicative_identity),
inference(ground_cnf,[],[file('Axioms/BOO004-0.ax',additive_inverse1)]) ).
cnf(g8,plain,
sPE(multiplicative_identity,multiplicative_identity),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g9,plain,
( ~ sPE(multiply(inverse(a),multiplicative_identity),inverse(a))
| sPE(inverse(a),multiply(inverse(a),multiplicative_identity)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g10,plain,
sPE(multiply(add(b,additive_identity),multiplicative_identity),add(b,additive_identity)),
inference(ground_cnf,[],[file('Axioms/BOO004-0.ax',multiplicative_id1)]) ).
cnf(g11,plain,
sPE(add(a,b),multiplicative_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_a_multiplicative_identity)]) ).
cnf(g12,plain,
sPE(multiply(a,inverse(a)),additive_identity),
inference(ground_cnf,[],[file('Axioms/BOO004-0.ax',multiplicative_inverse1)]) ).
cnf(g13,plain,
( ~ sPE(inverse(a),multiply(add(b,additive_identity),multiplicative_identity))
| ~ sPE(multiply(add(b,additive_identity),multiplicative_identity),add(b,additive_identity))
| sPE(inverse(a),add(b,additive_identity)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g14,plain,
sPE(multiply(a,b),additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_an_additive_identity)]) ).
cnf(g15,plain,
sPE(multiply(inverse(a),a),multiply(a,inverse(a))),
inference(ground_cnf,[],[file('Axioms/BOO004-0.ax',commutativity_of_multiply)]) ).
cnf(g16,plain,
sPE(inverse(a),inverse(a)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g17,plain,
( ~ sPE(inverse(a),multiply(inverse(a),multiplicative_identity))
| ~ sPE(multiply(inverse(a),multiplicative_identity),multiply(add(b,additive_identity),multiplicative_identity))
| sPE(inverse(a),multiply(add(b,additive_identity),multiplicative_identity)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g18,plain,
( ~ sPE(multiply(add(b,additive_identity),multiplicative_identity),multiply(inverse(a),multiplicative_identity))
| sPE(multiply(inverse(a),multiplicative_identity),multiply(add(b,additive_identity),multiplicative_identity)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g19,plain,
( ~ sPE(add(b,additive_identity),inverse(a))
| ~ sPE(multiplicative_identity,multiplicative_identity)
| sPE(multiply(add(b,additive_identity),multiplicative_identity),multiply(inverse(a),multiplicative_identity)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g20,plain,
( ~ sPE(multiply(a,b),additive_identity)
| sPE(additive_identity,multiply(a,b)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g21,plain,
( ~ sPE(add(b,additive_identity),b)
| ~ sPE(b,multiply(b,multiplicative_identity))
| sPE(add(b,additive_identity),multiply(b,multiplicative_identity)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g22,plain,
sPE(add(a,inverse(a)),add(a,inverse(a))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g23,plain,
sPE(multiply(b,a),multiply(a,b)),
inference(ground_cnf,[],[file('Axioms/BOO004-0.ax',commutativity_of_multiply)]) ).
cnf(g24,plain,
sPE(multiply(b,add(a,inverse(a))),add(multiply(b,a),multiply(b,inverse(a)))),
inference(ground_cnf,[],[file('Axioms/BOO004-0.ax',distributivity2)]) ).
cnf(g25,plain,
( ~ sPE(multiply(b,multiplicative_identity),b)
| ~ sPE(add(a,inverse(a)),multiplicative_identity)
| sPE(multiply(multiply(b,multiplicative_identity),add(a,inverse(a))),multiply(b,multiplicative_identity)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g26,plain,
( ~ sPE(inverse(a),inverse(a))
| ~ sPE(add(a,b),multiplicative_identity)
| sPE(multiply(inverse(a),add(a,b)),multiply(inverse(a),multiplicative_identity)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g27,plain,
( ~ sPE(multiply(multiply(b,multiplicative_identity),add(a,inverse(a))),multiply(b,multiplicative_identity))
| sPE(multiply(b,multiplicative_identity),multiply(multiply(b,multiplicative_identity),add(a,inverse(a)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g28,plain,
sPE(multiply(inverse(a),add(a,b)),add(multiply(inverse(a),a),multiply(inverse(a),b))),
inference(ground_cnf,[],[file('Axioms/BOO004-0.ax',distributivity2)]) ).
cnf(g29,plain,
( ~ sPE(add(b,additive_identity),multiply(b,multiplicative_identity))
| ~ sPE(multiply(b,multiplicative_identity),inverse(a))
| sPE(add(b,additive_identity),inverse(a)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g30,plain,
( ~ sPE(multiply(inverse(a),add(a,b)),multiply(inverse(a),multiplicative_identity))
| ~ sPE(multiply(inverse(a),multiplicative_identity),inverse(a))
| sPE(multiply(inverse(a),add(a,b)),inverse(a)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g31,plain,
( ~ sPE(multiply(b,add(a,inverse(a))),add(multiply(b,a),multiply(b,inverse(a))))
| sPE(add(multiply(b,a),multiply(b,inverse(a))),multiply(b,add(a,inverse(a)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g32,plain,
( ~ sPE(multiply(b,multiplicative_identity),multiply(multiply(b,multiplicative_identity),add(a,inverse(a))))
| ~ sPE(multiply(multiply(b,multiplicative_identity),add(a,inverse(a))),inverse(a))
| sPE(multiply(b,multiplicative_identity),inverse(a)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g33,plain,
sPE(multiply(inverse(a),b),multiply(b,inverse(a))),
inference(ground_cnf,[],[file('Axioms/BOO004-0.ax',commutativity_of_multiply)]) ).
cnf(g34,plain,
( ~ sPE(multiply(b,multiplicative_identity),b)
| ~ sPE(add(a,inverse(a)),add(a,inverse(a)))
| sPE(multiply(multiply(b,multiplicative_identity),add(a,inverse(a))),multiply(b,add(a,inverse(a)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g35,plain,
( ~ sPE(multiply(a,inverse(a)),additive_identity)
| ~ sPE(additive_identity,multiply(a,b))
| sPE(multiply(a,inverse(a)),multiply(a,b)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g36,plain,
( ~ sPE(multiply(a,inverse(a)),multiply(a,b))
| sPE(multiply(a,b),multiply(a,inverse(a))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g37,plain,
( ~ sPE(multiply(multiply(b,multiplicative_identity),add(a,inverse(a))),multiply(b,add(a,inverse(a))))
| ~ sPE(multiply(b,add(a,inverse(a))),inverse(a))
| sPE(multiply(multiply(b,multiplicative_identity),add(a,inverse(a))),inverse(a)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g38,plain,
( ~ sPE(multiply(b,a),multiply(a,b))
| ~ sPE(multiply(a,b),multiply(a,inverse(a)))
| sPE(multiply(b,a),multiply(a,inverse(a))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g39,plain,
( ~ sPE(multiply(b,add(a,inverse(a))),multiply(inverse(a),add(a,b)))
| ~ sPE(multiply(inverse(a),add(a,b)),inverse(a))
| sPE(multiply(b,add(a,inverse(a))),inverse(a)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g40,plain,
( ~ sPE(multiply(inverse(a),add(a,b)),multiply(b,add(a,inverse(a))))
| sPE(multiply(b,add(a,inverse(a))),multiply(inverse(a),add(a,b))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g41,plain,
( ~ sPE(multiply(inverse(a),add(a,b)),add(multiply(inverse(a),a),multiply(inverse(a),b)))
| ~ sPE(add(multiply(inverse(a),a),multiply(inverse(a),b)),multiply(b,add(a,inverse(a))))
| sPE(multiply(inverse(a),add(a,b)),multiply(b,add(a,inverse(a)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g42,plain,
( ~ sPE(add(multiply(inverse(a),a),multiply(inverse(a),b)),add(multiply(b,a),multiply(b,inverse(a))))
| ~ sPE(add(multiply(b,a),multiply(b,inverse(a))),multiply(b,add(a,inverse(a))))
| sPE(add(multiply(inverse(a),a),multiply(inverse(a),b)),multiply(b,add(a,inverse(a)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g43,plain,
( ~ sPE(multiply(inverse(a),a),multiply(b,a))
| ~ sPE(multiply(inverse(a),b),multiply(b,inverse(a)))
| sPE(add(multiply(inverse(a),a),multiply(inverse(a),b)),add(multiply(b,a),multiply(b,inverse(a)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g44,plain,
( ~ sPE(multiply(inverse(a),a),multiply(a,inverse(a)))
| ~ sPE(multiply(a,inverse(a)),multiply(b,a))
| sPE(multiply(inverse(a),a),multiply(b,a)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g45,plain,
( ~ sPE(multiply(b,a),multiply(a,inverse(a)))
| sPE(multiply(a,inverse(a)),multiply(b,a)) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : BOO013-4 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.12 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 1 15:55:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 236.53/30.09 % symbols: 9
% 236.53/30.09 % clauses: 17
% 236.53/30.09 % start clauses: 1
% 236.53/30.09 % iterative deepening steps: 25963
% 236.53/30.09 % maximum path limit: 10
% 236.53/30.09 % literal attempts: 17665878
% 236.53/30.09 % depth failures: 5863286
% 236.53/30.09 % regularity failures: 2081315
% 236.53/30.09 % tautology failures: 1504120
% 236.53/30.09 % reductions: 0
% 236.53/30.09 % extensions: 17640385
% 236.53/30.09 % SAT variables: 4273639
% 236.53/30.09 % SAT clauses: 7523360
% 236.53/30.09 % WalkSAT solutions: 7523352
% 236.53/30.09 % CDCL solutions: 8
% 236.53/30.09 % SZS status Unsatisfiable for theBenchmark
% 236.53/30.09 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------