TSTP Solution File: GRP012-3 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : GRP012-3 : 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 11:31:33 EDT 2022
% Result : Unsatisfiable 12.39s 2.12s
% Output : Proof 12.39s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sPE(inverse(multiply(a,b)),multiply(inverse(b),inverse(a))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_of_product_is_product_of_inverses)]) ).
cnf(g1,plain,
( ~ sPE(multiply(inverse(b),inverse(a)),inverse(multiply(a,b)))
| sPE(inverse(multiply(a,b)),multiply(inverse(b),inverse(a))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g2,plain,
product(multiply(inverse(b),inverse(a)),identity,multiply(inverse(b),inverse(a))),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',right_identity)]) ).
cnf(g3,plain,
product(identity,inverse(multiply(a,b)),inverse(multiply(a,b))),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',left_identity)]) ).
cnf(g4,plain,
( ~ product(identity,inverse(multiply(a,b)),multiply(inverse(b),inverse(a)))
| ~ product(identity,inverse(multiply(a,b)),inverse(multiply(a,b)))
| sPE(multiply(inverse(b),inverse(a)),inverse(multiply(a,b))) ),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',total_function2)]) ).
cnf(g5,plain,
sPE(inverse(multiply(a,b)),inverse(multiply(a,b))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g6,plain,
product(inverse(multiply(a,b)),identity,inverse(multiply(a,b))),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',right_identity)]) ).
cnf(g7,plain,
product(inverse(b),inverse(a),multiply(inverse(b),inverse(a))),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',total_function1)]) ).
cnf(g8,plain,
product(a,inverse(a),identity),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',right_inverse)]) ).
cnf(g9,plain,
product(a,identity,a),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',right_identity)]) ).
cnf(g10,plain,
product(inverse(a),inverse(inverse(a)),identity),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',right_inverse)]) ).
cnf(g11,plain,
product(inverse(b),identity,inverse(b)),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',right_identity)]) ).
cnf(g12,plain,
product(multiply(a,b),inverse(multiply(a,b)),identity),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',right_inverse)]) ).
cnf(g13,plain,
product(identity,identity,multiply(identity,identity)),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',total_function1)]) ).
cnf(g14,plain,
sPE(multiply(identity,identity),multiply(identity,identity)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g15,plain,
product(inverse(b),b,identity),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',left_inverse)]) ).
cnf(g16,plain,
( ~ product(multiply(inverse(b),inverse(a)),identity,multiply(inverse(b),inverse(a)))
| ~ product(identity,identity,multiply(identity,identity))
| ~ product(multiply(inverse(b),inverse(a)),identity,multiply(inverse(b),inverse(a)))
| product(multiply(inverse(b),inverse(a)),multiply(identity,identity),multiply(inverse(b),inverse(a))) ),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',associativity1)]) ).
cnf(g17,plain,
sPE(b,b),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g18,plain,
product(identity,inverse(inverse(a)),inverse(inverse(a))),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',left_identity)]) ).
cnf(g19,plain,
( ~ product(a,inverse(a),identity)
| ~ product(a,identity,a)
| ~ product(inverse(a),inverse(inverse(a)),identity)
| product(identity,inverse(inverse(a)),a) ),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',associativity2)]) ).
cnf(g20,plain,
( ~ product(inverse(b),inverse(a),multiply(inverse(b),inverse(a)))
| ~ product(inverse(b),identity,inverse(b))
| ~ product(inverse(a),inverse(inverse(a)),identity)
| product(multiply(inverse(b),inverse(a)),inverse(inverse(a)),inverse(b)) ),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',associativity2)]) ).
cnf(g21,plain,
( ~ product(identity,inverse(inverse(a)),a)
| ~ product(identity,inverse(inverse(a)),inverse(inverse(a)))
| sPE(a,inverse(inverse(a))) ),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',total_function2)]) ).
cnf(g22,plain,
( ~ product(multiply(a,b),inverse(multiply(a,b)),identity)
| ~ product(inverse(multiply(a,b)),identity,inverse(multiply(a,b)))
| ~ product(identity,identity,multiply(identity,identity))
| product(multiply(a,b),inverse(multiply(a,b)),multiply(identity,identity)) ),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',associativity1)]) ).
cnf(g23,plain,
( ~ product(multiply(inverse(b),inverse(a)),multiply(inverse(inverse(a)),b),identity)
| ~ product(multiply(inverse(b),inverse(a)),multiply(identity,identity),multiply(inverse(b),inverse(a)))
| ~ product(multiply(inverse(inverse(a)),b),inverse(multiply(a,b)),multiply(identity,identity))
| product(identity,inverse(multiply(a,b)),multiply(inverse(b),inverse(a))) ),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',associativity2)]) ).
cnf(g24,plain,
( ~ product(multiply(inverse(b),inverse(a)),inverse(inverse(a)),inverse(b))
| ~ product(inverse(inverse(a)),b,multiply(inverse(inverse(a)),b))
| ~ product(inverse(b),b,identity)
| product(multiply(inverse(b),inverse(a)),multiply(inverse(inverse(a)),b),identity) ),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',associativity1)]) ).
cnf(g25,plain,
product(inverse(inverse(a)),b,multiply(inverse(inverse(a)),b)),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',total_function1)]) ).
cnf(g26,plain,
( ~ sPE(multiply(a,b),multiply(inverse(inverse(a)),b))
| ~ sPE(inverse(multiply(a,b)),inverse(multiply(a,b)))
| ~ sPE(multiply(identity,identity),multiply(identity,identity))
| ~ product(multiply(a,b),inverse(multiply(a,b)),multiply(identity,identity))
| product(multiply(inverse(inverse(a)),b),inverse(multiply(a,b)),multiply(identity,identity)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g27,plain,
( ~ sPE(a,inverse(inverse(a)))
| ~ sPE(b,b)
| sPE(multiply(a,b),multiply(inverse(inverse(a)),b)) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP012-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : satcop --statistics %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 02:06:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 12.39/2.12 % symbols: 8
% 12.39/2.12 % clauses: 15
% 12.39/2.12 % start clauses: 1
% 12.39/2.12 % iterative deepening steps: 5691
% 12.39/2.12 % maximum path limit: 6
% 12.39/2.12 % literal attempts: 1885367
% 12.39/2.12 % depth failures: 1080151
% 12.39/2.12 % regularity failures: 48124
% 12.39/2.12 % tautology failures: 137940
% 12.39/2.12 % reductions: 0
% 12.39/2.12 % extensions: 1881105
% 12.39/2.12 % SAT variables: 191479
% 12.39/2.12 % SAT clauses: 518798
% 12.39/2.12 % WalkSAT solutions: 518797
% 12.39/2.12 % CDCL solutions: 0
% 12.39/2.12 % SZS status Unsatisfiable for theBenchmark
% 12.39/2.12 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------