TSTP Solution File: KLE141+2 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : KLE141+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n004.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 3.05s 0.86s
% Output : Proof 3.05s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
( ~ leq(multiplication(strong_iteration(one),sK0),strong_iteration(one))
| ~ leq(strong_iteration(one),multiplication(strong_iteration(one),sK0)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals)]) ).
cnf(g1,plain,
sPE(multiplication(one,multiplication(strong_iteration(one),sK0)),multiplication(strong_iteration(one),sK0)),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',multiplicative_left_identity)]) ).
cnf(g2,plain,
( ~ leq(strong_iteration(one),addition(multiplication(one,strong_iteration(one)),sK0))
| leq(strong_iteration(one),multiplication(strong_iteration(one),sK0)) ),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',infty_coinduction)]) ).
cnf(g3,plain,
( ~ sPE(addition(strong_iteration(one),addition(multiplication(one,strong_iteration(one)),sK0)),addition(multiplication(one,strong_iteration(one)),sK0))
| leq(strong_iteration(one),addition(multiplication(one,strong_iteration(one)),sK0)) ),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',order)]) ).
cnf(g4,plain,
sPE(multiplication(one,strong_iteration(one)),strong_iteration(one)),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',multiplicative_left_identity)]) ).
cnf(g5,plain,
sPE(multiplication(strong_iteration(one),one),strong_iteration(one)),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',multiplicative_right_identity)]) ).
cnf(g6,plain,
sPE(multiplication(strong_iteration(one),sK0),multiplication(strong_iteration(one),sK0)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g7,plain,
( ~ sPE(multiplication(strong_iteration(one),sK0),multiplication(strong_iteration(one),sK0))
| ~ sPE(multiplication(strong_iteration(one),one),strong_iteration(one))
| ~ leq(multiplication(strong_iteration(one),sK0),multiplication(strong_iteration(one),one))
| leq(multiplication(strong_iteration(one),sK0),strong_iteration(one)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g8,plain,
( ~ leq(multiplication(strong_iteration(one),sK0),addition(multiplication(one,multiplication(strong_iteration(one),sK0)),one))
| leq(multiplication(strong_iteration(one),sK0),multiplication(strong_iteration(one),one)) ),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',infty_coinduction)]) ).
cnf(g9,plain,
( ~ sPE(addition(multiplication(strong_iteration(one),sK0),addition(multiplication(one,multiplication(strong_iteration(one),sK0)),one)),addition(multiplication(one,multiplication(strong_iteration(one),sK0)),one))
| leq(multiplication(strong_iteration(one),sK0),addition(multiplication(one,multiplication(strong_iteration(one),sK0)),one)) ),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',order)]) ).
cnf(g10,plain,
sPE(multiplication(multiplication(one,multiplication(strong_iteration(one),sK0)),one),multiplication(one,multiplication(strong_iteration(one),sK0))),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',multiplicative_right_identity)]) ).
cnf(g11,plain,
sPE(sK0,sK0),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g12,plain,
( ~ sPE(addition(strong_iteration(one),addition(multiplication(one,strong_iteration(one)),sK0)),addition(addition(strong_iteration(one),multiplication(one,strong_iteration(one))),sK0))
| ~ sPE(addition(addition(strong_iteration(one),multiplication(one,strong_iteration(one))),sK0),addition(multiplication(one,strong_iteration(one)),sK0))
| sPE(addition(strong_iteration(one),addition(multiplication(one,strong_iteration(one)),sK0)),addition(multiplication(one,strong_iteration(one)),sK0)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g13,plain,
sPE(addition(strong_iteration(one),addition(multiplication(one,strong_iteration(one)),sK0)),addition(addition(strong_iteration(one),multiplication(one,strong_iteration(one))),sK0)),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',additive_associativity)]) ).
cnf(g14,plain,
( ~ sPE(addition(strong_iteration(one),multiplication(one,strong_iteration(one))),multiplication(one,strong_iteration(one)))
| ~ sPE(sK0,sK0)
| sPE(addition(addition(strong_iteration(one),multiplication(one,strong_iteration(one))),sK0),addition(multiplication(one,strong_iteration(one)),sK0)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g15,plain,
sPE(multiplication(one,strong_iteration(one)),multiplication(one,strong_iteration(one))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g16,plain,
sPE(one,one),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g17,plain,
( ~ sPE(addition(multiplication(one,strong_iteration(one)),multiplication(one,strong_iteration(one))),multiplication(one,strong_iteration(one)))
| leq(multiplication(one,strong_iteration(one)),multiplication(one,strong_iteration(one))) ),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',order)]) ).
cnf(g18,plain,
sPE(addition(multiplication(one,strong_iteration(one)),multiplication(one,strong_iteration(one))),multiplication(one,strong_iteration(one))),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',idempotence)]) ).
cnf(g19,plain,
( ~ sPE(multiplication(multiplication(one,multiplication(strong_iteration(one),sK0)),one),multiplication(one,multiplication(strong_iteration(one),sK0)))
| ~ sPE(multiplication(one,multiplication(strong_iteration(one),sK0)),multiplication(strong_iteration(one),sK0))
| sPE(multiplication(multiplication(one,multiplication(strong_iteration(one),sK0)),one),multiplication(strong_iteration(one),sK0)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g20,plain,
( ~ sPE(addition(multiplication(multiplication(one,multiplication(strong_iteration(one),sK0)),one),multiplication(multiplication(one,multiplication(strong_iteration(one),sK0)),one)),multiplication(multiplication(one,multiplication(strong_iteration(one),sK0)),one))
| leq(multiplication(multiplication(one,multiplication(strong_iteration(one),sK0)),one),multiplication(multiplication(one,multiplication(strong_iteration(one),sK0)),one)) ),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',order)]) ).
cnf(g21,plain,
sPE(addition(multiplication(multiplication(one,multiplication(strong_iteration(one),sK0)),one),multiplication(multiplication(one,multiplication(strong_iteration(one),sK0)),one)),multiplication(multiplication(one,multiplication(strong_iteration(one),sK0)),one)),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',idempotence)]) ).
cnf(g22,plain,
( ~ leq(strong_iteration(one),multiplication(one,strong_iteration(one)))
| sPE(addition(strong_iteration(one),multiplication(one,strong_iteration(one))),multiplication(one,strong_iteration(one))) ),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',order)]) ).
cnf(g23,plain,
( ~ leq(multiplication(strong_iteration(one),sK0),multiplication(one,multiplication(strong_iteration(one),sK0)))
| sPE(addition(multiplication(strong_iteration(one),sK0),multiplication(one,multiplication(strong_iteration(one),sK0))),multiplication(one,multiplication(strong_iteration(one),sK0))) ),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',order)]) ).
cnf(g24,plain,
( ~ sPE(multiplication(one,strong_iteration(one)),strong_iteration(one))
| ~ sPE(multiplication(one,strong_iteration(one)),multiplication(one,strong_iteration(one)))
| ~ leq(multiplication(one,strong_iteration(one)),multiplication(one,strong_iteration(one)))
| leq(strong_iteration(one),multiplication(one,strong_iteration(one))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g25,plain,
( ~ sPE(addition(multiplication(strong_iteration(one),sK0),addition(multiplication(one,multiplication(strong_iteration(one),sK0)),one)),addition(addition(multiplication(strong_iteration(one),sK0),multiplication(one,multiplication(strong_iteration(one),sK0))),one))
| ~ sPE(addition(addition(multiplication(strong_iteration(one),sK0),multiplication(one,multiplication(strong_iteration(one),sK0))),one),addition(multiplication(one,multiplication(strong_iteration(one),sK0)),one))
| sPE(addition(multiplication(strong_iteration(one),sK0),addition(multiplication(one,multiplication(strong_iteration(one),sK0)),one)),addition(multiplication(one,multiplication(strong_iteration(one),sK0)),one)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g26,plain,
sPE(addition(multiplication(strong_iteration(one),sK0),addition(multiplication(one,multiplication(strong_iteration(one),sK0)),one)),addition(addition(multiplication(strong_iteration(one),sK0),multiplication(one,multiplication(strong_iteration(one),sK0))),one)),
inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',additive_associativity)]) ).
cnf(g27,plain,
( ~ sPE(addition(multiplication(strong_iteration(one),sK0),multiplication(one,multiplication(strong_iteration(one),sK0))),multiplication(one,multiplication(strong_iteration(one),sK0)))
| ~ sPE(one,one)
| sPE(addition(addition(multiplication(strong_iteration(one),sK0),multiplication(one,multiplication(strong_iteration(one),sK0))),one),addition(multiplication(one,multiplication(strong_iteration(one),sK0)),one)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g28,plain,
( ~ sPE(multiplication(multiplication(one,multiplication(strong_iteration(one),sK0)),one),multiplication(strong_iteration(one),sK0))
| ~ sPE(multiplication(multiplication(one,multiplication(strong_iteration(one),sK0)),one),multiplication(one,multiplication(strong_iteration(one),sK0)))
| ~ leq(multiplication(multiplication(one,multiplication(strong_iteration(one),sK0)),one),multiplication(multiplication(one,multiplication(strong_iteration(one),sK0)),one))
| leq(multiplication(strong_iteration(one),sK0),multiplication(one,multiplication(strong_iteration(one),sK0))) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KLE141+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : satcop --statistics %s
% 0.14/0.35 % Computer : n004.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 15:05:38 EDT 2022
% 0.14/0.35 % CPUTime :
% 3.05/0.86 % symbols: 10
% 3.05/0.86 % clauses: 28
% 3.05/0.86 % start clauses: 1
% 3.05/0.86 % iterative deepening steps: 3670
% 3.05/0.86 % maximum path limit: 6
% 3.05/0.86 % literal attempts: 386738
% 3.05/0.86 % depth failures: 165753
% 3.05/0.86 % regularity failures: 41269
% 3.05/0.86 % tautology failures: 17538
% 3.05/0.86 % reductions: 0
% 3.05/0.86 % extensions: 383174
% 3.05/0.86 % SAT variables: 147768
% 3.05/0.86 % SAT clauses: 213831
% 3.05/0.86 % WalkSAT solutions: 213829
% 3.05/0.86 % CDCL solutions: 0
% 3.05/0.86 % SZS status Theorem for theBenchmark
% 3.05/0.86 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------