TSTP Solution File: KLE167+1 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : KLE167+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n014.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 02:25:58 EDT 2022
% Result : Theorem 137.75s 17.74s
% Output : Proof 137.75s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
( ~ leq(sK0,multiplication(sK0,star(sK1)))
| sPE(multiplication(sK0,sK1),zero) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals)]) ).
cnf(g1,plain,
( ~ leq(multiplication(sK0,star(sK1)),sK0)
| ~ leq(sK0,multiplication(sK0,star(sK1))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals)]) ).
cnf(g2,plain,
sPE(addition(sK0,sK0),sK0),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',idempotence)]) ).
cnf(g3,plain,
sPE(multiplication(sK0,one),sK0),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',multiplicative_right_identity)]) ).
cnf(g4,plain,
sPE(addition(sK0,zero),sK0),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',additive_identity)]) ).
cnf(g5,plain,
( ~ leq(addition(multiplication(sK0,sK1),sK0),sK0)
| leq(multiplication(sK0,star(sK1)),sK0) ),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',star_induction2)]) ).
cnf(g6,plain,
( ~ sPE(addition(sK0,sK0),sK0)
| leq(sK0,sK0) ),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',order)]) ).
cnf(g7,plain,
( ~ leq(sK0,multiplication(sK0,one))
| sPE(addition(sK0,multiplication(sK0,one)),multiplication(sK0,one)) ),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',order)]) ).
cnf(g8,plain,
( ~ sPE(sK0,sK0)
| ~ sPE(sK0,multiplication(sK0,one))
| ~ leq(sK0,sK0)
| leq(sK0,multiplication(sK0,one)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g9,plain,
sPE(sK0,sK0),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g10,plain,
sPE(addition(one,multiplication(star(sK1),sK1)),star(sK1)),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',star_unfold2)]) ).
cnf(g11,plain,
( ~ sPE(addition(one,multiplication(star(sK1),sK1)),star(sK1))
| sPE(star(sK1),addition(one,multiplication(star(sK1),sK1))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g12,plain,
( ~ sPE(multiplication(sK0,sK1),zero)
| ~ sPE(sK0,sK0)
| sPE(addition(multiplication(sK0,sK1),sK0),addition(zero,sK0)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g13,plain,
sPE(multiplication(sK0,addition(one,multiplication(star(sK1),sK1))),addition(multiplication(sK0,one),multiplication(sK0,multiplication(star(sK1),sK1)))),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',distributivity1)]) ).
cnf(g14,plain,
( ~ sPE(sK0,sK0)
| ~ sPE(star(sK1),addition(one,multiplication(star(sK1),sK1)))
| sPE(multiplication(sK0,star(sK1)),multiplication(sK0,addition(one,multiplication(star(sK1),sK1)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g15,plain,
( ~ sPE(addition(zero,sK0),addition(multiplication(sK0,sK1),sK0))
| ~ sPE(sK0,sK0)
| ~ leq(addition(zero,sK0),sK0)
| leq(addition(multiplication(sK0,sK1),sK0),sK0) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g16,plain,
( ~ sPE(addition(multiplication(sK0,sK1),sK0),addition(zero,sK0))
| sPE(addition(zero,sK0),addition(multiplication(sK0,sK1),sK0)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g17,plain,
( ~ sPE(addition(sK0,addition(multiplication(sK0,one),multiplication(sK0,multiplication(star(sK1),sK1)))),addition(multiplication(sK0,one),multiplication(sK0,multiplication(star(sK1),sK1))))
| leq(sK0,addition(multiplication(sK0,one),multiplication(sK0,multiplication(star(sK1),sK1)))) ),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',order)]) ).
cnf(g18,plain,
sPE(addition(multiplication(sK0,multiplication(star(sK1),sK1)),multiplication(sK0,one)),addition(multiplication(sK0,one),multiplication(sK0,multiplication(star(sK1),sK1)))),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',additive_commutativity)]) ).
cnf(g19,plain,
( ~ sPE(addition(zero,sK0),sK0)
| sPE(sK0,addition(zero,sK0)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g20,plain,
( ~ sPE(addition(zero,sK0),addition(sK0,zero))
| ~ sPE(addition(sK0,zero),sK0)
| sPE(addition(zero,sK0),sK0) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g21,plain,
sPE(addition(zero,sK0),addition(sK0,zero)),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',additive_commutativity)]) ).
cnf(g22,plain,
( ~ sPE(sK0,addition(zero,sK0))
| ~ sPE(sK0,sK0)
| ~ leq(sK0,sK0)
| leq(addition(zero,sK0),sK0) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g23,plain,
( ~ sPE(multiplication(sK0,one),sK0)
| sPE(sK0,multiplication(sK0,one)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g24,plain,
( ~ sPE(multiplication(sK0,star(sK1)),multiplication(sK0,addition(one,multiplication(star(sK1),sK1))))
| ~ sPE(multiplication(sK0,addition(one,multiplication(star(sK1),sK1))),addition(multiplication(sK0,one),multiplication(sK0,multiplication(star(sK1),sK1))))
| sPE(multiplication(sK0,star(sK1)),addition(multiplication(sK0,one),multiplication(sK0,multiplication(star(sK1),sK1)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g25,plain,
sPE(multiplication(sK0,multiplication(star(sK1),sK1)),multiplication(sK0,multiplication(star(sK1),sK1))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g26,plain,
( ~ sPE(sK0,sK0)
| ~ sPE(addition(multiplication(sK0,one),multiplication(sK0,multiplication(star(sK1),sK1))),multiplication(sK0,star(sK1)))
| ~ leq(sK0,addition(multiplication(sK0,one),multiplication(sK0,multiplication(star(sK1),sK1))))
| leq(sK0,multiplication(sK0,star(sK1))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g27,plain,
( ~ sPE(multiplication(sK0,star(sK1)),addition(multiplication(sK0,one),multiplication(sK0,multiplication(star(sK1),sK1))))
| sPE(addition(multiplication(sK0,one),multiplication(sK0,multiplication(star(sK1),sK1))),multiplication(sK0,star(sK1))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g28,plain,
( ~ sPE(addition(sK0,addition(multiplication(sK0,one),multiplication(sK0,multiplication(star(sK1),sK1)))),addition(addition(sK0,multiplication(sK0,one)),multiplication(sK0,multiplication(star(sK1),sK1))))
| ~ sPE(addition(addition(sK0,multiplication(sK0,one)),multiplication(sK0,multiplication(star(sK1),sK1))),addition(multiplication(sK0,one),multiplication(sK0,multiplication(star(sK1),sK1))))
| sPE(addition(sK0,addition(multiplication(sK0,one),multiplication(sK0,multiplication(star(sK1),sK1)))),addition(multiplication(sK0,one),multiplication(sK0,multiplication(star(sK1),sK1)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g29,plain,
sPE(addition(sK0,addition(multiplication(sK0,one),multiplication(sK0,multiplication(star(sK1),sK1)))),addition(addition(sK0,multiplication(sK0,one)),multiplication(sK0,multiplication(star(sK1),sK1)))),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',additive_associativity)]) ).
cnf(g30,plain,
( ~ sPE(addition(addition(sK0,multiplication(sK0,one)),multiplication(sK0,multiplication(star(sK1),sK1))),addition(multiplication(sK0,multiplication(star(sK1),sK1)),multiplication(sK0,one)))
| ~ sPE(addition(multiplication(sK0,multiplication(star(sK1),sK1)),multiplication(sK0,one)),addition(multiplication(sK0,one),multiplication(sK0,multiplication(star(sK1),sK1))))
| sPE(addition(addition(sK0,multiplication(sK0,one)),multiplication(sK0,multiplication(star(sK1),sK1))),addition(multiplication(sK0,one),multiplication(sK0,multiplication(star(sK1),sK1)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g31,plain,
( ~ sPE(addition(addition(sK0,multiplication(sK0,one)),multiplication(sK0,multiplication(star(sK1),sK1))),addition(multiplication(sK0,multiplication(star(sK1),sK1)),addition(sK0,multiplication(sK0,one))))
| ~ sPE(addition(multiplication(sK0,multiplication(star(sK1),sK1)),addition(sK0,multiplication(sK0,one))),addition(multiplication(sK0,multiplication(star(sK1),sK1)),multiplication(sK0,one)))
| sPE(addition(addition(sK0,multiplication(sK0,one)),multiplication(sK0,multiplication(star(sK1),sK1))),addition(multiplication(sK0,multiplication(star(sK1),sK1)),multiplication(sK0,one))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g32,plain,
sPE(addition(addition(sK0,multiplication(sK0,one)),multiplication(sK0,multiplication(star(sK1),sK1))),addition(multiplication(sK0,multiplication(star(sK1),sK1)),addition(sK0,multiplication(sK0,one)))),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',additive_commutativity)]) ).
cnf(g33,plain,
( ~ sPE(multiplication(sK0,multiplication(star(sK1),sK1)),multiplication(sK0,multiplication(star(sK1),sK1)))
| ~ sPE(addition(sK0,multiplication(sK0,one)),multiplication(sK0,one))
| sPE(addition(multiplication(sK0,multiplication(star(sK1),sK1)),addition(sK0,multiplication(sK0,one))),addition(multiplication(sK0,multiplication(star(sK1),sK1)),multiplication(sK0,one))) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE167+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : satcop --statistics %s
% 0.13/0.34 % Computer : n014.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 : Thu Jun 16 14:44:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 137.75/17.74 % symbols: 11
% 137.75/17.74 % clauses: 29
% 137.75/17.74 % start clauses: 2
% 137.75/17.74 % iterative deepening steps: 27231
% 137.75/17.74 % maximum path limit: 6
% 137.75/17.74 % literal attempts: 12470744
% 137.75/17.74 % depth failures: 4751658
% 137.75/17.74 % regularity failures: 1425618
% 137.75/17.74 % tautology failures: 718800
% 137.75/17.74 % reductions: 20336
% 137.75/17.74 % extensions: 12406042
% 137.75/17.74 % SAT variables: 4435713
% 137.75/17.74 % SAT clauses: 6267456
% 137.75/17.74 % WalkSAT solutions: 6267456
% 137.75/17.74 % CDCL solutions: 0
% 137.75/17.74 % SZS status Theorem for theBenchmark
% 137.75/17.74 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------