%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : GRP048-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n022.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 11:31:47 EDT 2022
% Result : Unsatisfiable 9.66s 1.53s
% Output : Proof 9.93s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ equalish(inverse(a),inverse(b)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse_substitution)]) ).
cnf(g1,plain,
product(identity,inverse(b),inverse(b)),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',left_identity)]) ).
cnf(g2,plain,
product(identity,inverse(a),inverse(a)),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',left_identity)]) ).
cnf(g3,plain,
product(inverse(a),a,identity),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',left_inverse)]) ).
cnf(g4,plain,
product(inverse(inverse(inverse(b))),inverse(inverse(b)),identity),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',left_inverse)]) ).
cnf(g5,plain,
product(inverse(inverse(b)),inverse(b),identity),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',left_inverse)]) ).
cnf(g6,plain,
product(identity,identity,identity),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',left_identity)]) ).
cnf(g7,plain,
product(identity,inverse(a),multiply(identity,inverse(a))),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',total_function1)]) ).
cnf(g8,plain,
( ~ product(inverse(inverse(inverse(b))),inverse(inverse(b)),identity)
| ~ product(inverse(inverse(b)),inverse(b),identity)
| ~ product(identity,inverse(b),inverse(b))
| product(inverse(inverse(inverse(b))),identity,inverse(b)) ),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',associativity1)]) ).
cnf(g9,plain,
product(inverse(inverse(a)),inverse(a),identity),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',left_inverse)]) ).
cnf(g10,plain,
product(identity,a,a),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',left_identity)]) ).
cnf(g11,plain,
product(identity,identity,multiply(identity,identity)),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',total_function1)]) ).
cnf(g12,plain,
product(inverse(identity),identity,identity),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',left_inverse)]) ).
cnf(g13,plain,
( ~ product(identity,identity,multiply(identity,identity))
| ~ product(identity,inverse(a),inverse(a))
| ~ product(identity,inverse(a),inverse(a))
| product(multiply(identity,identity),inverse(a),inverse(a)) ),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',associativity2)]) ).
cnf(g14,plain,
product(identity,inverse(b),multiply(identity,inverse(b))),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',total_function1)]) ).
cnf(g15,plain,
product(identity,multiply(identity,identity),multiply(identity,identity)),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',left_identity)]) ).
cnf(g16,plain,
equalish(a,b),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b)]) ).
cnf(g17,plain,
( ~ product(inverse(identity),identity,identity)
| ~ product(identity,inverse(b),inverse(b))
| ~ product(identity,inverse(b),inverse(b))
| product(inverse(identity),inverse(b),inverse(b)) ),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',associativity1)]) ).
cnf(g18,plain,
( ~ product(identity,identity,multiply(identity,identity))
| ~ product(identity,inverse(a),multiply(identity,inverse(a)))
| ~ product(identity,inverse(a),inverse(a))
| product(multiply(identity,identity),inverse(a),multiply(identity,inverse(a))) ),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',associativity2)]) ).
cnf(g19,plain,
( ~ product(inverse(identity),inverse(b),inverse(a))
| ~ product(inverse(identity),inverse(b),inverse(b))
| equalish(inverse(a),inverse(b)) ),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',total_function2)]) ).
cnf(g20,plain,
( ~ product(inverse(identity),inverse(b),inverse(b))
| ~ equalish(inverse(b),inverse(a))
| product(inverse(identity),inverse(b),inverse(a)) ),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',product_substitution3)]) ).
cnf(g21,plain,
( ~ product(identity,inverse(b),inverse(b))
| ~ product(identity,inverse(b),inverse(a))
| equalish(inverse(b),inverse(a)) ),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',total_function2)]) ).
cnf(g22,plain,
( ~ product(inverse(inverse(a)),inverse(a),identity)
| ~ product(inverse(a),a,identity)
| ~ product(identity,a,a)
| product(inverse(inverse(a)),identity,a) ),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',associativity1)]) ).
cnf(g23,plain,
( ~ product(inverse(inverse(a)),identity,a)
| ~ product(inverse(inverse(a)),inverse(a),identity)
| ~ product(identity,inverse(a),inverse(a))
| product(a,inverse(a),identity) ),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',associativity2)]) ).
cnf(g24,plain,
( ~ product(identity,multiply(identity,identity),multiply(identity,identity))
| ~ product(multiply(identity,identity),inverse(a),inverse(b))
| ~ product(multiply(identity,identity),inverse(a),inverse(a))
| product(identity,inverse(b),inverse(a)) ),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',associativity1)]) ).
cnf(g25,plain,
( ~ product(inverse(b),b,identity)
| ~ product(b,inverse(a),identity)
| ~ product(identity,inverse(a),inverse(a))
| product(inverse(b),identity,inverse(a)) ),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',associativity1)]) ).
cnf(g26,plain,
product(inverse(b),b,identity),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',left_inverse)]) ).
cnf(g27,plain,
( ~ product(multiply(identity,identity),inverse(a),multiply(identity,inverse(a)))
| ~ equalish(multiply(identity,inverse(a)),inverse(b))
| product(multiply(identity,identity),inverse(a),inverse(b)) ),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',product_substitution3)]) ).
cnf(g28,plain,
( ~ product(inverse(inverse(inverse(b))),inverse(inverse(b)),identity)
| ~ product(inverse(inverse(b)),inverse(b),identity)
| ~ product(identity,inverse(b),multiply(identity,inverse(b)))
| product(inverse(inverse(inverse(b))),identity,multiply(identity,inverse(b))) ),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',associativity1)]) ).
cnf(g29,plain,
( ~ product(identity,inverse(a),inverse(a))
| ~ product(identity,inverse(a),multiply(identity,inverse(a)))
| equalish(inverse(a),multiply(identity,inverse(a))) ),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',total_function2)]) ).
cnf(g30,plain,
( ~ product(inverse(inverse(a)),identity,a)
| ~ product(inverse(inverse(a)),identity,a)
| ~ product(identity,identity,identity)
| product(a,identity,a) ),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',associativity2)]) ).
cnf(g31,plain,
( ~ product(inverse(inverse(inverse(b))),identity,multiply(identity,inverse(a)))
| ~ product(inverse(inverse(inverse(b))),identity,inverse(b))
| equalish(multiply(identity,inverse(a)),inverse(b)) ),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',total_function2)]) ).
cnf(g32,plain,
( ~ product(inverse(inverse(inverse(b))),identity,inverse(a))
| ~ equalish(inverse(a),multiply(identity,inverse(a)))
| product(inverse(inverse(inverse(b))),identity,multiply(identity,inverse(a))) ),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',product_substitution3)]) ).
cnf(g33,plain,
( ~ product(inverse(inverse(inverse(b))),identity,multiply(identity,inverse(b)))
| ~ product(identity,identity,identity)
| ~ product(multiply(identity,inverse(b)),identity,inverse(a))
| product(inverse(inverse(inverse(b))),identity,inverse(a)) ),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',associativity1)]) ).
cnf(g34,plain,
( ~ product(identity,inverse(b),multiply(identity,inverse(b)))
| ~ product(identity,inverse(a),inverse(a))
| ~ product(inverse(b),identity,inverse(a))
| product(multiply(identity,inverse(b)),identity,inverse(a)) ),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',associativity2)]) ).
cnf(g35,plain,
( ~ product(a,identity,b)
| ~ product(a,inverse(a),identity)
| ~ product(identity,inverse(a),inverse(a))
| product(b,inverse(a),identity) ),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',associativity2)]) ).
cnf(g36,plain,
( ~ product(a,identity,a)
| ~ equalish(a,b)
| product(a,identity,b) ),
inference(ground_cnf,[],[file('Axioms/GRP005-0.ax',product_substitution3)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP048-2 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.09 % Command : satcop --statistics %s
% 0.08/0.29 % Computer : n022.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 600
% 0.08/0.29 % DateTime : Tue Jun 14 13:39:18 EDT 2022
% 0.08/0.29 % CPUTime :
% 9.66/1.53 % symbols: 9
% 9.66/1.53 % clauses: 9
% 9.66/1.53 % start clauses: 1
% 9.66/1.53 % iterative deepening steps: 3371
% 9.66/1.53 % maximum path limit: 7
% 9.66/1.53 % literal attempts: 670440
% 9.66/1.53 % depth failures: 337436
% 9.66/1.53 % regularity failures: 2184
% 9.66/1.53 % tautology failures: 17608
% 9.66/1.53 % reductions: 0
% 9.66/1.53 % extensions: 667599
% 9.66/1.53 % SAT variables: 155653
% 9.66/1.53 % SAT clauses: 324626
% 9.66/1.53 % WalkSAT solutions: 324625
% 9.66/1.53 % CDCL solutions: 0
% 9.66/1.53 % SZS status Unsatisfiable for theBenchmark
% 9.66/1.53 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------