TSTP Solution File: KLE150+2 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : KLE150+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n010.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 02:25:53 EDT 2022
% Result : Theorem 6.09s 1.15s
% Output : Proof 6.09s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
( ~ leq(addition(one,multiplication(sK0,zero)),strong_iteration(multiplication(sK0,zero)))
| ~ leq(strong_iteration(multiplication(sK0,zero)),addition(one,multiplication(sK0,zero))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals)]) ).
cnf(g1,plain,
sPE(strong_iteration(multiplication(sK0,zero)),addition(multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero))),one)),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',infty_unfold1)]) ).
cnf(g2,plain,
sPE(multiplication(one,one),one),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',multiplicative_right_identity)]) ).
cnf(g3,plain,
( ~ sPE(strong_iteration(multiplication(sK0,zero)),addition(multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero))),one))
| sPE(addition(multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero))),one),strong_iteration(multiplication(sK0,zero))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g4,plain,
sPE(sK0,sK0),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g5,plain,
sPE(addition(multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero))),one),addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero))))),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',additive_commutativity)]) ).
cnf(g6,plain,
( ~ sPE(strong_iteration(multiplication(sK0,zero)),addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero)))))
| sPE(addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero)))),strong_iteration(multiplication(sK0,zero))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g7,plain,
( ~ sPE(strong_iteration(multiplication(sK0,zero)),addition(multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero))),one))
| ~ sPE(addition(multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero))),one),addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero)))))
| sPE(strong_iteration(multiplication(sK0,zero)),addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g8,plain,
( ~ sPE(addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero)))),strong_iteration(multiplication(sK0,zero)))
| ~ sPE(addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero)))),addition(one,multiplication(sK0,zero)))
| ~ leq(addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero)))),addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero)))))
| leq(strong_iteration(multiplication(sK0,zero)),addition(one,multiplication(sK0,zero))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g9,plain,
( ~ sPE(addition(addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero)))),addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero))))),addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero)))))
| leq(addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero)))),addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero))))) ),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',order)]) ).
cnf(g10,plain,
sPE(addition(addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero)))),addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero))))),addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero))))),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',idempotence)]) ).
cnf(g11,plain,
( ~ sPE(addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero)))),addition(one,multiplication(sK0,zero)))
| ~ sPE(addition(multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero))),one),strong_iteration(multiplication(sK0,zero)))
| ~ leq(addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero)))),addition(multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero))),one))
| leq(addition(one,multiplication(sK0,zero)),strong_iteration(multiplication(sK0,zero))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g12,plain,
( ~ sPE(addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero)))),addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero)))))
| ~ sPE(addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero)))),addition(multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero))),one))
| ~ leq(addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero)))),addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero)))))
| leq(addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero)))),addition(multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero))),one)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g13,plain,
sPE(addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero)))),addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero))))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g14,plain,
sPE(addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero)))),addition(multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero))),one)),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',additive_commutativity)]) ).
cnf(g15,plain,
( ~ sPE(addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero)))),addition(multiplication(one,one),multiplication(sK0,multiplication(zero,strong_iteration(multiplication(sK0,zero))))))
| ~ sPE(addition(multiplication(one,one),multiplication(sK0,multiplication(zero,strong_iteration(multiplication(sK0,zero))))),addition(one,multiplication(sK0,zero)))
| sPE(addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero)))),addition(one,multiplication(sK0,zero))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g16,plain,
( ~ sPE(addition(multiplication(one,one),multiplication(sK0,multiplication(zero,strong_iteration(multiplication(sK0,zero))))),addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero)))))
| sPE(addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero)))),addition(multiplication(one,one),multiplication(sK0,multiplication(zero,strong_iteration(multiplication(sK0,zero)))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g17,plain,
( ~ sPE(multiplication(one,one),one)
| ~ sPE(multiplication(sK0,multiplication(zero,strong_iteration(multiplication(sK0,zero)))),multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero))))
| sPE(addition(multiplication(one,one),multiplication(sK0,multiplication(zero,strong_iteration(multiplication(sK0,zero))))),addition(one,multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g18,plain,
sPE(multiplication(sK0,multiplication(zero,strong_iteration(multiplication(sK0,zero)))),multiplication(multiplication(sK0,zero),strong_iteration(multiplication(sK0,zero)))),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',multiplicative_associativity)]) ).
cnf(g19,plain,
( ~ sPE(multiplication(one,one),one)
| ~ sPE(multiplication(sK0,multiplication(zero,strong_iteration(multiplication(sK0,zero)))),multiplication(sK0,zero))
| sPE(addition(multiplication(one,one),multiplication(sK0,multiplication(zero,strong_iteration(multiplication(sK0,zero))))),addition(one,multiplication(sK0,zero))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g20,plain,
( ~ sPE(sK0,sK0)
| ~ sPE(multiplication(zero,strong_iteration(multiplication(sK0,zero))),zero)
| sPE(multiplication(sK0,multiplication(zero,strong_iteration(multiplication(sK0,zero)))),multiplication(sK0,zero)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g21,plain,
sPE(multiplication(zero,strong_iteration(multiplication(sK0,zero))),zero),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',left_annihilation)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KLE150+2 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : satcop --statistics %s
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 16 08:23:53 EDT 2022
% 0.14/0.35 % CPUTime :
% 6.09/1.15 % symbols: 10
% 6.09/1.15 % clauses: 28
% 6.09/1.15 % start clauses: 1
% 6.09/1.15 % iterative deepening steps: 6159
% 6.09/1.15 % maximum path limit: 5
% 6.09/1.15 % literal attempts: 664947
% 6.09/1.15 % depth failures: 287220
% 6.09/1.15 % regularity failures: 69761
% 6.09/1.15 % tautology failures: 31015
% 6.09/1.15 % reductions: 0
% 6.09/1.15 % extensions: 659042
% 6.09/1.15 % SAT variables: 246466
% 6.09/1.15 % SAT clauses: 362014
% 6.09/1.15 % WalkSAT solutions: 362013
% 6.09/1.15 % CDCL solutions: 0
% 6.09/1.15 % SZS status Theorem for theBenchmark
% 6.09/1.15 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------