TSTP Solution File: KLE141+1 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : KLE141+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n011.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 : Sun Jul 17 02:25:49 EDT 2022
% Result : Theorem 41.11s 5.71s
% Output : Proof 41.11s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sPE(multiplication(strong_iteration(one),sK0),strong_iteration(one)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals)]) ).
cnf(g1,plain,
sPE(sK0,sK0),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g2,plain,
sPE(strong_iteration(one),addition(star(one),multiplication(strong_iteration(one),zero))),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',isolation)]) ).
cnf(g3,plain,
sPE(multiplication(strong_iteration(one),one),strong_iteration(one)),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',multiplicative_right_identity)]) ).
cnf(g4,plain,
( ~ sPE(multiplication(strong_iteration(one),sK0),multiplication(strong_iteration(one),one))
| ~ sPE(multiplication(strong_iteration(one),one),strong_iteration(one))
| sPE(multiplication(strong_iteration(one),sK0),strong_iteration(one)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g5,plain,
sPE(strong_iteration(one),strong_iteration(one)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g6,plain,
( ~ leq(star(one),multiplication(strong_iteration(one),zero))
| sPE(addition(star(one),multiplication(strong_iteration(one),zero)),multiplication(strong_iteration(one),zero)) ),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',order)]) ).
cnf(g7,plain,
sPE(multiplication(one,sK0),sK0),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',multiplicative_left_identity)]) ).
cnf(g8,plain,
( ~ sPE(strong_iteration(one),addition(star(one),multiplication(strong_iteration(one),zero)))
| sPE(addition(star(one),multiplication(strong_iteration(one),zero)),strong_iteration(one)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g9,plain,
sPE(zero,zero),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g10,plain,
sPE(addition(star(one),multiplication(strong_iteration(one),zero)),addition(star(one),multiplication(strong_iteration(one),zero))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g11,plain,
( ~ sPE(addition(star(one),multiplication(strong_iteration(one),zero)),addition(star(one),multiplication(strong_iteration(one),zero)))
| ~ sPE(multiplication(one,sK0),sK0)
| sPE(multiplication(addition(star(one),multiplication(strong_iteration(one),zero)),multiplication(one,sK0)),multiplication(addition(star(one),multiplication(strong_iteration(one),zero)),sK0)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g12,plain,
( ~ leq(star(one),addition(multiplication(one,star(one)),zero))
| leq(star(one),multiplication(strong_iteration(one),zero)) ),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',infty_coinduction)]) ).
cnf(g13,plain,
sPE(addition(multiplication(strong_iteration(one),one),zero),multiplication(strong_iteration(one),one)),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',additive_identity)]) ).
cnf(g14,plain,
( ~ sPE(multiplication(addition(star(one),multiplication(strong_iteration(one),zero)),sK0),multiplication(multiplication(strong_iteration(one),zero),sK0))
| ~ sPE(multiplication(multiplication(strong_iteration(one),zero),sK0),strong_iteration(one))
| sPE(multiplication(addition(star(one),multiplication(strong_iteration(one),zero)),sK0),strong_iteration(one)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g15,plain,
( ~ sPE(addition(star(one),multiplication(strong_iteration(one),zero)),multiplication(strong_iteration(one),zero))
| ~ sPE(sK0,sK0)
| sPE(multiplication(addition(star(one),multiplication(strong_iteration(one),zero)),sK0),multiplication(multiplication(strong_iteration(one),zero),sK0)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g16,plain,
( ~ sPE(addition(multiplication(strong_iteration(one),one),zero),multiplication(strong_iteration(one),one))
| ~ sPE(multiplication(strong_iteration(one),one),strong_iteration(one))
| sPE(addition(multiplication(strong_iteration(one),one),zero),strong_iteration(one)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g17,plain,
( ~ sPE(addition(multiplication(strong_iteration(one),one),zero),strong_iteration(one))
| sPE(strong_iteration(one),addition(multiplication(strong_iteration(one),one),zero)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g18,plain,
( ~ sPE(strong_iteration(one),multiplication(multiplication(strong_iteration(one),zero),sK0))
| sPE(multiplication(multiplication(strong_iteration(one),zero),sK0),strong_iteration(one)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g19,plain,
sPE(multiplication(one,star(one)),star(one)),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',multiplicative_left_identity)]) ).
cnf(g20,plain,
sPE(multiplication(zero,sK0),zero),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',left_annihilation)]) ).
cnf(g21,plain,
( ~ sPE(addition(star(one),multiplication(strong_iteration(one),zero)),strong_iteration(one))
| ~ sPE(multiplication(one,sK0),sK0)
| sPE(multiplication(addition(star(one),multiplication(strong_iteration(one),zero)),multiplication(one,sK0)),multiplication(strong_iteration(one),sK0)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g22,plain,
sPE(addition(star(one),zero),star(one)),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',additive_identity)]) ).
cnf(g23,plain,
( ~ sPE(addition(addition(star(one),zero),addition(star(one),zero)),addition(star(one),zero))
| leq(addition(star(one),zero),addition(star(one),zero)) ),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',order)]) ).
cnf(g24,plain,
sPE(addition(addition(star(one),zero),addition(star(one),zero)),addition(star(one),zero)),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',idempotence)]) ).
cnf(g25,plain,
( ~ sPE(multiplication(zero,sK0),zero)
| sPE(zero,multiplication(zero,sK0)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g26,plain,
( ~ sPE(multiplication(addition(star(one),multiplication(strong_iteration(one),zero)),multiplication(one,sK0)),multiplication(strong_iteration(one),sK0))
| sPE(multiplication(strong_iteration(one),sK0),multiplication(addition(star(one),multiplication(strong_iteration(one),zero)),multiplication(one,sK0))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g27,plain,
( ~ sPE(multiplication(strong_iteration(one),sK0),multiplication(addition(star(one),multiplication(strong_iteration(one),zero)),multiplication(one,sK0)))
| ~ sPE(multiplication(addition(star(one),multiplication(strong_iteration(one),zero)),multiplication(one,sK0)),multiplication(strong_iteration(one),one))
| sPE(multiplication(strong_iteration(one),sK0),multiplication(strong_iteration(one),one)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g28,plain,
( ~ sPE(multiplication(addition(star(one),multiplication(strong_iteration(one),zero)),multiplication(one,sK0)),addition(multiplication(strong_iteration(one),one),zero))
| ~ sPE(addition(multiplication(strong_iteration(one),one),zero),multiplication(strong_iteration(one),one))
| sPE(multiplication(addition(star(one),multiplication(strong_iteration(one),zero)),multiplication(one,sK0)),multiplication(strong_iteration(one),one)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g29,plain,
( ~ sPE(multiplication(addition(star(one),multiplication(strong_iteration(one),zero)),multiplication(one,sK0)),strong_iteration(one))
| ~ sPE(strong_iteration(one),addition(multiplication(strong_iteration(one),one),zero))
| sPE(multiplication(addition(star(one),multiplication(strong_iteration(one),zero)),multiplication(one,sK0)),addition(multiplication(strong_iteration(one),one),zero)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g30,plain,
( ~ sPE(multiplication(addition(star(one),multiplication(strong_iteration(one),zero)),multiplication(one,sK0)),multiplication(addition(star(one),multiplication(strong_iteration(one),zero)),sK0))
| ~ sPE(multiplication(addition(star(one),multiplication(strong_iteration(one),zero)),sK0),strong_iteration(one))
| sPE(multiplication(addition(star(one),multiplication(strong_iteration(one),zero)),multiplication(one,sK0)),strong_iteration(one)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g31,plain,
sPE(multiplication(strong_iteration(one),multiplication(zero,sK0)),multiplication(multiplication(strong_iteration(one),zero),sK0)),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',multiplicative_associativity)]) ).
cnf(g32,plain,
( ~ sPE(addition(star(one),zero),star(one))
| ~ sPE(addition(star(one),zero),addition(multiplication(one,star(one)),zero))
| ~ leq(addition(star(one),zero),addition(star(one),zero))
| leq(star(one),addition(multiplication(one,star(one)),zero)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g33,plain,
( ~ sPE(addition(multiplication(one,star(one)),zero),addition(star(one),zero))
| sPE(addition(star(one),zero),addition(multiplication(one,star(one)),zero)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g34,plain,
( ~ sPE(multiplication(one,star(one)),star(one))
| ~ sPE(zero,zero)
| sPE(addition(multiplication(one,star(one)),zero),addition(star(one),zero)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g35,plain,
( ~ sPE(strong_iteration(one),addition(star(one),multiplication(strong_iteration(one),zero)))
| ~ sPE(addition(star(one),multiplication(strong_iteration(one),zero)),multiplication(strong_iteration(one),multiplication(zero,sK0)))
| sPE(strong_iteration(one),multiplication(strong_iteration(one),multiplication(zero,sK0))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g36,plain,
( ~ sPE(addition(star(one),multiplication(strong_iteration(one),zero)),multiplication(strong_iteration(one),zero))
| ~ sPE(multiplication(strong_iteration(one),zero),multiplication(strong_iteration(one),multiplication(zero,sK0)))
| sPE(addition(star(one),multiplication(strong_iteration(one),zero)),multiplication(strong_iteration(one),multiplication(zero,sK0))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g37,plain,
( ~ sPE(strong_iteration(one),strong_iteration(one))
| ~ sPE(zero,multiplication(zero,sK0))
| sPE(multiplication(strong_iteration(one),zero),multiplication(strong_iteration(one),multiplication(zero,sK0))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g38,plain,
( ~ sPE(strong_iteration(one),multiplication(strong_iteration(one),multiplication(zero,sK0)))
| ~ sPE(multiplication(strong_iteration(one),multiplication(zero,sK0)),multiplication(multiplication(strong_iteration(one),zero),sK0))
| sPE(strong_iteration(one),multiplication(multiplication(strong_iteration(one),zero),sK0)) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : KLE141+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : satcop --statistics %s
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Thu Jun 16 12:52:51 EDT 2022
% 0.14/0.36 % CPUTime :
% 41.11/5.71 % symbols: 10
% 41.11/5.71 % clauses: 28
% 41.11/5.71 % start clauses: 1
% 41.11/5.71 % iterative deepening steps: 11798
% 41.11/5.71 % maximum path limit: 10
% 41.11/5.71 % literal attempts: 3285854
% 41.11/5.71 % depth failures: 1223723
% 41.11/5.71 % regularity failures: 377391
% 41.11/5.71 % tautology failures: 197219
% 41.11/5.71 % reductions: 0
% 41.11/5.71 % extensions: 3275239
% 41.11/5.71 % SAT variables: 1304981
% 41.11/5.71 % SAT clauses: 2008649
% 41.11/5.71 % WalkSAT solutions: 2008650
% 41.11/5.71 % CDCL solutions: 0
% 41.11/5.71 % SZS status Theorem for theBenchmark
% 41.11/5.71 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------