TSTP Solution File: GRP402-1 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : GRP402-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n028.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 11:33:22 EDT 2022
% Result : Unsatisfiable 168.31s 21.54s
% Output : Proof 168.31s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sPE(commutator(commutator(a,b),c),commutator(a,commutator(b,c))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutator_is_associative)]) ).
cnf(g1,plain,
( ~ sPE(commutator(a,commutator(b,c)),commutator(commutator(a,b),c))
| sPE(commutator(commutator(a,b),c),commutator(a,commutator(b,c))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g2,plain,
( ~ sPE(multiply(c,commutator(a,commutator(b,c))),multiply(c,commutator(commutator(a,b),c)))
| sPE(commutator(a,commutator(b,c)),commutator(commutator(a,b),c)) ),
inference(ground_cnf,[],[file('Axioms/GRP008-1.ax',left_cancellation)]) ).
cnf(g3,plain,
sPE(c,c),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g4,plain,
sPE(multiply(commutator(a,commutator(b,c)),c),multiply(c,commutator(a,commutator(b,c)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',nilpotency)]) ).
cnf(g5,plain,
sPE(multiply(a,commutator(b,c)),multiply(commutator(b,c),multiply(a,commutator(a,commutator(b,c))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutator)]) ).
cnf(g6,plain,
sPE(multiply(commutator(a,b),c),multiply(c,commutator(a,b))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',nilpotency)]) ).
cnf(g7,plain,
( ~ sPE(c,multiply(c,commutator(commutator(a,b),c)))
| sPE(multiply(c,commutator(commutator(a,b),c)),c) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g8,plain,
( ~ sPE(multiply(commutator(a,commutator(b,c)),c),multiply(c,commutator(a,commutator(b,c))))
| sPE(multiply(c,commutator(a,commutator(b,c))),multiply(commutator(a,commutator(b,c)),c)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g9,plain,
( ~ sPE(commutator(commutator(a,b),c),commutator(c,c))
| sPE(commutator(c,c),commutator(commutator(a,b),c)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g10,plain,
sPE(multiply(c,c),multiply(c,multiply(c,commutator(c,c)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutator)]) ).
cnf(g11,plain,
sPE(multiply(commutator(a,b),c),multiply(c,multiply(commutator(a,b),commutator(commutator(a,b),c)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutator)]) ).
cnf(g12,plain,
( ~ sPE(multiply(c,commutator(a,commutator(b,c))),multiply(commutator(a,commutator(b,c)),c))
| ~ sPE(multiply(commutator(a,commutator(b,c)),c),multiply(c,commutator(commutator(a,b),c)))
| sPE(multiply(c,commutator(a,commutator(b,c))),multiply(c,commutator(commutator(a,b),c))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g13,plain,
sPE(multiply(commutator(c,c),multiply(c,c)),multiply(multiply(c,c),commutator(c,c))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',nilpotency)]) ).
cnf(g14,plain,
( ~ sPE(c,c)
| ~ sPE(c,c)
| sPE(commutator(c,c),commutator(c,c)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g15,plain,
( ~ sPE(c,c)
| ~ sPE(commutator(c,c),commutator(commutator(a,b),c))
| sPE(multiply(c,commutator(c,c)),multiply(c,commutator(commutator(a,b),c))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g16,plain,
( ~ sPE(multiply(c,c),multiply(c,multiply(c,commutator(c,c))))
| sPE(c,multiply(c,commutator(c,c))) ),
inference(ground_cnf,[],[file('Axioms/GRP008-1.ax',left_cancellation)]) ).
cnf(g17,plain,
sPE(multiply(commutator(b,c),a),multiply(a,commutator(b,c))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',nilpotency)]) ).
cnf(g18,plain,
( ~ sPE(multiply(commutator(a,b),c),multiply(c,commutator(a,b)))
| sPE(multiply(c,commutator(a,b)),multiply(commutator(a,b),c)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g19,plain,
( ~ sPE(c,multiply(c,commutator(c,c)))
| ~ sPE(multiply(c,commutator(c,c)),multiply(c,commutator(commutator(a,b),c)))
| sPE(c,multiply(c,commutator(commutator(a,b),c))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g20,plain,
( ~ sPE(multiply(commutator(b,c),a),multiply(a,commutator(b,c)))
| ~ sPE(multiply(a,commutator(b,c)),multiply(commutator(b,c),multiply(a,commutator(a,commutator(b,c)))))
| sPE(multiply(commutator(b,c),a),multiply(commutator(b,c),multiply(a,commutator(a,commutator(b,c))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g21,plain,
( ~ sPE(multiply(commutator(c,c),multiply(c,c)),multiply(multiply(c,c),commutator(c,c)))
| ~ sPE(multiply(multiply(c,c),commutator(c,c)),multiply(c,multiply(c,commutator(c,c))))
| sPE(multiply(commutator(c,c),multiply(c,c)),multiply(c,multiply(c,commutator(c,c)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g22,plain,
sPE(multiply(multiply(c,c),commutator(c,c)),multiply(c,multiply(c,commutator(c,c)))),
inference(ground_cnf,[],[file('Axioms/GRP008-0.ax',associativity_of_multiply)]) ).
cnf(g23,plain,
( ~ sPE(multiply(c,commutator(a,b)),multiply(c,multiply(commutator(a,b),commutator(commutator(a,b),c))))
| sPE(commutator(a,b),multiply(commutator(a,b),commutator(commutator(a,b),c))) ),
inference(ground_cnf,[],[file('Axioms/GRP008-1.ax',left_cancellation)]) ).
cnf(g24,plain,
( ~ sPE(multiply(c,commutator(a,b)),multiply(commutator(a,b),c))
| ~ sPE(multiply(commutator(a,b),c),multiply(c,multiply(commutator(a,b),commutator(commutator(a,b),c))))
| sPE(multiply(c,commutator(a,b)),multiply(c,multiply(commutator(a,b),commutator(commutator(a,b),c)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g25,plain,
( ~ sPE(multiply(multiply(commutator(a,commutator(b,c)),c),commutator(c,c)),multiply(multiply(c,commutator(commutator(a,b),c)),commutator(c,c)))
| sPE(multiply(commutator(a,commutator(b,c)),c),multiply(c,commutator(commutator(a,b),c))) ),
inference(ground_cnf,[],[file('Axioms/GRP008-1.ax',right_cancellation)]) ).
cnf(g26,plain,
( ~ sPE(multiply(multiply(c,commutator(commutator(a,b),c)),commutator(c,c)),multiply(multiply(commutator(a,commutator(b,c)),c),commutator(c,c)))
| sPE(multiply(multiply(commutator(a,commutator(b,c)),c),commutator(c,c)),multiply(multiply(c,commutator(commutator(a,b),c)),commutator(c,c))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g27,plain,
( ~ sPE(multiply(a,multiply(c,commutator(commutator(a,b),c))),multiply(a,multiply(commutator(a,commutator(b,c)),c)))
| sPE(multiply(c,commutator(commutator(a,b),c)),multiply(commutator(a,commutator(b,c)),c)) ),
inference(ground_cnf,[],[file('Axioms/GRP008-1.ax',left_cancellation)]) ).
cnf(g28,plain,
( ~ sPE(multiply(a,multiply(c,commutator(commutator(a,b),c))),multiply(multiply(a,commutator(a,commutator(b,c))),c))
| ~ sPE(multiply(multiply(a,commutator(a,commutator(b,c))),c),multiply(a,multiply(commutator(a,commutator(b,c)),c)))
| sPE(multiply(a,multiply(c,commutator(commutator(a,b),c))),multiply(a,multiply(commutator(a,commutator(b,c)),c))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g29,plain,
sPE(multiply(multiply(a,commutator(a,commutator(b,c))),c),multiply(a,multiply(commutator(a,commutator(b,c)),c))),
inference(ground_cnf,[],[file('Axioms/GRP008-0.ax',associativity_of_multiply)]) ).
cnf(g30,plain,
( ~ sPE(a,multiply(a,commutator(a,commutator(b,c))))
| ~ sPE(multiply(c,commutator(commutator(a,b),c)),c)
| sPE(multiply(a,multiply(c,commutator(commutator(a,b),c))),multiply(multiply(a,commutator(a,commutator(b,c))),c)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g31,plain,
( ~ sPE(multiply(commutator(b,c),a),multiply(commutator(b,c),multiply(a,commutator(a,commutator(b,c)))))
| sPE(a,multiply(a,commutator(a,commutator(b,c)))) ),
inference(ground_cnf,[],[file('Axioms/GRP008-1.ax',left_cancellation)]) ).
cnf(g32,plain,
( ~ sPE(multiply(c,commutator(commutator(a,b),c)),multiply(commutator(a,commutator(b,c)),c))
| ~ sPE(commutator(c,c),commutator(c,c))
| sPE(multiply(multiply(c,commutator(commutator(a,b),c)),commutator(c,c)),multiply(multiply(commutator(a,commutator(b,c)),c),commutator(c,c))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g33,plain,
( ~ sPE(multiply(commutator(c,c),multiply(c,c)),multiply(c,multiply(c,commutator(c,c))))
| sPE(multiply(c,multiply(c,commutator(c,c))),multiply(commutator(c,c),multiply(c,c))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g34,plain,
( ~ sPE(multiply(multiply(commutator(a,b),commutator(commutator(a,b),c)),multiply(c,c)),multiply(commutator(a,b),multiply(commutator(commutator(a,b),c),multiply(c,c))))
| sPE(multiply(commutator(a,b),multiply(commutator(commutator(a,b),c),multiply(c,c))),multiply(multiply(commutator(a,b),commutator(commutator(a,b),c)),multiply(c,c))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g35,plain,
sPE(multiply(multiply(commutator(a,b),commutator(commutator(a,b),c)),multiply(c,c)),multiply(commutator(a,b),multiply(commutator(commutator(a,b),c),multiply(c,c)))),
inference(ground_cnf,[],[file('Axioms/GRP008-0.ax',associativity_of_multiply)]) ).
cnf(g36,plain,
( ~ sPE(multiply(commutator(commutator(a,b),c),multiply(c,c)),multiply(commutator(c,c),multiply(c,c)))
| sPE(commutator(commutator(a,b),c),commutator(c,c)) ),
inference(ground_cnf,[],[file('Axioms/GRP008-1.ax',right_cancellation)]) ).
cnf(g37,plain,
( ~ sPE(multiply(commutator(a,b),multiply(commutator(commutator(a,b),c),multiply(c,c))),multiply(commutator(a,b),multiply(commutator(c,c),multiply(c,c))))
| sPE(multiply(commutator(commutator(a,b),c),multiply(c,c)),multiply(commutator(c,c),multiply(c,c))) ),
inference(ground_cnf,[],[file('Axioms/GRP008-1.ax',left_cancellation)]) ).
cnf(g38,plain,
( ~ sPE(multiply(commutator(a,b),multiply(commutator(commutator(a,b),c),multiply(c,c))),multiply(multiply(commutator(a,b),commutator(commutator(a,b),c)),multiply(c,c)))
| ~ sPE(multiply(multiply(commutator(a,b),commutator(commutator(a,b),c)),multiply(c,c)),multiply(commutator(a,b),multiply(commutator(c,c),multiply(c,c))))
| sPE(multiply(commutator(a,b),multiply(commutator(commutator(a,b),c),multiply(c,c))),multiply(commutator(a,b),multiply(commutator(c,c),multiply(c,c)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g39,plain,
( ~ sPE(multiply(commutator(a,b),multiply(commutator(c,c),multiply(c,c))),multiply(multiply(commutator(a,b),commutator(commutator(a,b),c)),multiply(c,c)))
| sPE(multiply(multiply(commutator(a,b),commutator(commutator(a,b),c)),multiply(c,c)),multiply(commutator(a,b),multiply(commutator(c,c),multiply(c,c)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g40,plain,
( ~ sPE(commutator(a,b),multiply(commutator(a,b),commutator(commutator(a,b),c)))
| ~ sPE(multiply(commutator(c,c),multiply(c,c)),multiply(c,c))
| sPE(multiply(commutator(a,b),multiply(commutator(c,c),multiply(c,c))),multiply(multiply(commutator(a,b),commutator(commutator(a,b),c)),multiply(c,c))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g41,plain,
( ~ sPE(multiply(c,c),multiply(commutator(c,c),multiply(c,c)))
| sPE(multiply(commutator(c,c),multiply(c,c)),multiply(c,c)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g42,plain,
( ~ sPE(multiply(c,c),multiply(c,multiply(c,commutator(c,c))))
| ~ sPE(multiply(c,multiply(c,commutator(c,c))),multiply(commutator(c,c),multiply(c,c)))
| sPE(multiply(c,c),multiply(commutator(c,c),multiply(c,c))) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP402-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n028.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 : Mon Jun 13 12:05:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 168.31/21.54 % symbols: 7
% 168.31/21.54 % clauses: 11
% 168.31/21.54 % start clauses: 1
% 168.31/21.54 % iterative deepening steps: 6895
% 168.31/21.54 % maximum path limit: 12
% 168.31/21.54 % literal attempts: 7839442
% 168.31/21.54 % depth failures: 4941897
% 168.31/21.54 % regularity failures: 1024598
% 168.31/21.54 % tautology failures: 290957
% 168.31/21.54 % reductions: 0
% 168.31/21.54 % extensions: 7839168
% 168.31/21.54 % SAT variables: 3224601
% 168.31/21.54 % SAT clauses: 4521628
% 168.31/21.54 % WalkSAT solutions: 4521623
% 168.31/21.54 % CDCL solutions: 0
% 168.31/21.54 % SZS status Unsatisfiable for theBenchmark
% 168.31/21.54 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------