TSTP Solution File: NUN134-1 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : NUN134-1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n021.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 : Mon Jul 18 16:38:09 EDT 2022
% Result : Unsatisfiable 96.66s 12.63s
% Output : Proof 96.66s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sPE('+'(sum(s(a)),sum(s(a))),times(s(a),s(s(a)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal)]) ).
cnf(g1,plain,
( ~ sPE(times(s(a),s(s(a))),'+'(sum(s(a)),sum(s(a))))
| sPE('+'(sum(s(a)),sum(s(a))),times(s(a),s(s(a)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g2,plain,
sPE(sum(s(a)),'+'(s(a),sum(a))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_s)]) ).
cnf(g3,plain,
sPE('+'('+'(sum(s(a)),sum(s(a))),zero),'+'(sum(s(a)),sum(s(a)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_zero)]) ).
cnf(g4,plain,
sPE(times(s(a),s(s(a))),times(s(s(a)),s(a))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',times_comm)]) ).
cnf(g5,plain,
( ~ sPE(sum(s(a)),'+'(s(a),sum(a)))
| ~ sPE(sum(s(a)),'+'(s(a),sum(a)))
| sPE('+'(sum(s(a)),sum(s(a))),'+'('+'(s(a),sum(a)),'+'(s(a),sum(a)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g6,plain,
sPE('+'(s(a),zero),s(a)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_zero)]) ).
cnf(g7,plain,
sPE(times(s(s(a)),s(a)),'+'(s(a),times(s(a),s(a)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',times_s)]) ).
cnf(g8,plain,
sPE(s(a),s(a)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g9,plain,
sPE('+'('+'(s(a),sum(a)),'+'(s(a),sum(a))),'+'('+'('+'(s(a),sum(a)),s(a)),sum(a))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_assoc)]) ).
cnf(g10,plain,
sPE('+'(sum(a),sum(a)),times(a,s(a))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',induction_hypothesis)]) ).
cnf(g11,plain,
sPE(zero,zero),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g12,plain,
( ~ sPE('+'(s(a),zero),s(a))
| sPE(s(a),'+'(s(a),zero)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g13,plain,
sPE(times('+'(s(a),zero),one),'+'(s(a),zero)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',times_one)]) ).
cnf(g14,plain,
sPE('+'(s(a),times(s(a),s(a))),'+'(times(s(a),s(a)),s(a))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_comm)]) ).
cnf(g15,plain,
sPE('+'('+'('+'(s(a),sum(a)),s(a)),sum(a)),'+'(sum(a),'+'('+'(s(a),sum(a)),s(a)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_comm)]) ).
cnf(g16,plain,
sPE(times(s(a),s(a)),'+'(s(a),times(a,s(a)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',times_s)]) ).
cnf(g17,plain,
( ~ sPE(times(s(s(a)),s(a)),'+'(s(a),times(s(a),s(a))))
| ~ sPE('+'(s(a),times(s(a),s(a))),'+'(times(s(a),s(a)),s(a)))
| sPE(times(s(s(a)),s(a)),'+'(times(s(a),s(a)),s(a))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g18,plain,
sPE('+'(times(s(a),s(a)),s(a)),'+'(s(a),times(s(a),s(a)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_comm)]) ).
cnf(g19,plain,
( ~ sPE('+'(sum(s(a)),sum(s(a))),'+'('+'(s(a),sum(a)),'+'(s(a),sum(a))))
| ~ sPE('+'('+'(s(a),sum(a)),'+'(s(a),sum(a))),'+'('+'('+'(s(a),sum(a)),s(a)),sum(a)))
| sPE('+'(sum(s(a)),sum(s(a))),'+'('+'('+'(s(a),sum(a)),s(a)),sum(a))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g20,plain,
sPE('+'(s(a),zero),'+'(s(a),zero)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g21,plain,
( ~ sPE(times(s(a),s(s(a))),times(s(s(a)),s(a)))
| ~ sPE(times(s(s(a)),s(a)),'+'(times(s(a),s(a)),s(a)))
| sPE(times(s(a),s(s(a))),'+'(times(s(a),s(a)),s(a))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g22,plain,
( ~ sPE(times(s(a),s(s(a))),'+'(times(s(a),s(a)),s(a)))
| ~ sPE('+'(times(s(a),s(a)),s(a)),'+'(s(a),times(s(a),s(a))))
| sPE(times(s(a),s(s(a))),'+'(s(a),times(s(a),s(a)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g23,plain,
sPE('+'(sum(a),'+'('+'(s(a),sum(a)),s(a))),'+'('+'(sum(a),'+'(s(a),sum(a))),s(a))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_assoc)]) ).
cnf(g24,plain,
( ~ sPE(times('+'(s(a),zero),one),'+'(s(a),zero))
| sPE('+'(s(a),zero),times('+'(s(a),zero),one)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g25,plain,
sPE('+'('+'(s(a),sum(a)),sum(a)),'+'(sum(a),'+'(s(a),sum(a)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_comm)]) ).
cnf(g26,plain,
( ~ sPE('+'(sum(s(a)),sum(s(a))),'+'(sum(a),'+'('+'(s(a),sum(a)),s(a))))
| ~ sPE('+'(sum(a),'+'('+'(s(a),sum(a)),s(a))),'+'('+'(sum(a),'+'(s(a),sum(a))),s(a)))
| sPE('+'(sum(s(a)),sum(s(a))),'+'('+'(sum(a),'+'(s(a),sum(a))),s(a))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g27,plain,
( ~ sPE('+'(sum(s(a)),sum(s(a))),'+'('+'(sum(a),'+'(s(a),sum(a))),s(a)))
| sPE('+'('+'(sum(a),'+'(s(a),sum(a))),s(a)),'+'(sum(s(a)),sum(s(a)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g28,plain,
( ~ sPE(times(s(a),s(s(a))),'+'(s(a),times(s(a),s(a))))
| ~ sPE('+'(s(a),times(s(a),s(a))),'+'('+'(s(a),zero),'+'(s(a),times(a,s(a)))))
| sPE(times(s(a),s(s(a))),'+'('+'(s(a),zero),'+'(s(a),times(a,s(a))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g29,plain,
( ~ sPE(s(a),'+'(s(a),zero))
| ~ sPE(times(s(a),s(a)),'+'(s(a),times(a,s(a))))
| sPE('+'(s(a),times(s(a),s(a))),'+'('+'(s(a),zero),'+'(s(a),times(a,s(a))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g30,plain,
( ~ sPE('+'(sum(s(a)),sum(s(a))),'+'('+'('+'(s(a),sum(a)),s(a)),sum(a)))
| ~ sPE('+'('+'('+'(s(a),sum(a)),s(a)),sum(a)),'+'(sum(a),'+'('+'(s(a),sum(a)),s(a))))
| sPE('+'(sum(s(a)),sum(s(a))),'+'(sum(a),'+'('+'(s(a),sum(a)),s(a)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g31,plain,
( ~ sPE(times(s(a),s(s(a))),'+'(times('+'(s(a),zero),one),'+'(s(a),'+'(sum(a),sum(a)))))
| ~ sPE('+'(times('+'(s(a),zero),one),'+'(s(a),'+'(sum(a),sum(a)))),'+'(sum(s(a)),sum(s(a))))
| sPE(times(s(a),s(s(a))),'+'(sum(s(a)),sum(s(a)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g32,plain,
( ~ sPE(times(s(a),s(s(a))),'+'('+'(s(a),zero),'+'(s(a),times(a,s(a)))))
| ~ sPE('+'('+'(s(a),zero),'+'(s(a),times(a,s(a)))),'+'(times('+'(s(a),zero),one),'+'(s(a),'+'(sum(a),sum(a)))))
| sPE(times(s(a),s(s(a))),'+'(times('+'(s(a),zero),one),'+'(s(a),'+'(sum(a),sum(a))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g33,plain,
( ~ sPE('+'(s(a),zero),times('+'(s(a),zero),one))
| ~ sPE('+'(s(a),times(a,s(a))),'+'(s(a),'+'(sum(a),sum(a))))
| sPE('+'('+'(s(a),zero),'+'(s(a),times(a,s(a)))),'+'(times('+'(s(a),zero),one),'+'(s(a),'+'(sum(a),sum(a))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g34,plain,
( ~ sPE(s(a),s(a))
| ~ sPE(times(a,s(a)),'+'(sum(a),sum(a)))
| sPE('+'(s(a),times(a,s(a))),'+'(s(a),'+'(sum(a),sum(a)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g35,plain,
( ~ sPE('+'(sum(a),sum(a)),times(a,s(a)))
| sPE(times(a,s(a)),'+'(sum(a),sum(a))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g36,plain,
( ~ sPE('+'(times('+'(s(a),zero),one),'+'(s(a),'+'(sum(a),sum(a)))),'+'('+'(s(a),zero),'+'('+'(s(a),sum(a)),sum(a))))
| ~ sPE('+'('+'(s(a),zero),'+'('+'(s(a),sum(a)),sum(a))),'+'(sum(s(a)),sum(s(a))))
| sPE('+'(times('+'(s(a),zero),one),'+'(s(a),'+'(sum(a),sum(a)))),'+'(sum(s(a)),sum(s(a)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g37,plain,
( ~ sPE(times('+'(s(a),zero),one),'+'(s(a),zero))
| ~ sPE('+'(s(a),'+'(sum(a),sum(a))),'+'('+'(s(a),sum(a)),sum(a)))
| sPE('+'(times('+'(s(a),zero),one),'+'(s(a),'+'(sum(a),sum(a)))),'+'('+'(s(a),zero),'+'('+'(s(a),sum(a)),sum(a)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g38,plain,
sPE('+'(s(a),'+'(sum(a),sum(a))),'+'('+'(s(a),sum(a)),sum(a))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_assoc)]) ).
cnf(g39,plain,
( ~ sPE('+'('+'(s(a),zero),'+'('+'(s(a),sum(a)),sum(a))),'+'('+'(sum(s(a)),sum(s(a))),zero))
| ~ sPE('+'('+'(sum(s(a)),sum(s(a))),zero),'+'(sum(s(a)),sum(s(a))))
| sPE('+'('+'(s(a),zero),'+'('+'(s(a),sum(a)),sum(a))),'+'(sum(s(a)),sum(s(a)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g40,plain,
( ~ sPE('+'('+'(s(a),zero),'+'('+'(s(a),sum(a)),sum(a))),'+'('+'(s(a),zero),'+'(sum(a),'+'(s(a),sum(a)))))
| ~ sPE('+'('+'(s(a),zero),'+'(sum(a),'+'(s(a),sum(a)))),'+'('+'(sum(s(a)),sum(s(a))),zero))
| sPE('+'('+'(s(a),zero),'+'('+'(s(a),sum(a)),sum(a))),'+'('+'(sum(s(a)),sum(s(a))),zero)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g41,plain,
( ~ sPE('+'(s(a),zero),'+'(s(a),zero))
| ~ sPE('+'('+'(s(a),sum(a)),sum(a)),'+'(sum(a),'+'(s(a),sum(a))))
| sPE('+'('+'(s(a),zero),'+'('+'(s(a),sum(a)),sum(a))),'+'('+'(s(a),zero),'+'(sum(a),'+'(s(a),sum(a))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g42,plain,
sPE('+'('+'(s(a),zero),'+'(sum(a),'+'(s(a),sum(a)))),'+'('+'(sum(a),'+'(s(a),sum(a))),'+'(s(a),zero))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_comm)]) ).
cnf(g43,plain,
( ~ sPE('+'('+'(s(a),zero),'+'(sum(a),'+'(s(a),sum(a)))),'+'('+'('+'(sum(a),'+'(s(a),sum(a))),s(a)),zero))
| ~ sPE('+'('+'('+'(sum(a),'+'(s(a),sum(a))),s(a)),zero),'+'('+'(sum(s(a)),sum(s(a))),zero))
| sPE('+'('+'(s(a),zero),'+'(sum(a),'+'(s(a),sum(a)))),'+'('+'(sum(s(a)),sum(s(a))),zero)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g44,plain,
( ~ sPE('+'('+'(s(a),zero),'+'(sum(a),'+'(s(a),sum(a)))),'+'('+'(sum(a),'+'(s(a),sum(a))),'+'(s(a),zero)))
| ~ sPE('+'('+'(sum(a),'+'(s(a),sum(a))),'+'(s(a),zero)),'+'('+'('+'(sum(a),'+'(s(a),sum(a))),s(a)),zero))
| sPE('+'('+'(s(a),zero),'+'(sum(a),'+'(s(a),sum(a)))),'+'('+'('+'(sum(a),'+'(s(a),sum(a))),s(a)),zero)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g45,plain,
sPE('+'('+'(sum(a),'+'(s(a),sum(a))),'+'(s(a),zero)),'+'('+'('+'(sum(a),'+'(s(a),sum(a))),s(a)),zero)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_assoc)]) ).
cnf(g46,plain,
( ~ sPE('+'('+'(sum(a),'+'(s(a),sum(a))),s(a)),'+'(sum(s(a)),sum(s(a))))
| ~ sPE(zero,zero)
| sPE('+'('+'('+'(sum(a),'+'(s(a),sum(a))),s(a)),zero),'+'('+'(sum(s(a)),sum(s(a))),zero)) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUN134-1 : TPTP v8.1.0. Released v8.1.0.
% 0.11/0.13 % Command : satcop --statistics %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 2 04:24:31 EDT 2022
% 0.13/0.35 % CPUTime :
% 96.66/12.63 % symbols: 9
% 96.66/12.63 % clauses: 22
% 96.66/12.63 % start clauses: 1
% 96.66/12.63 % iterative deepening steps: 29348
% 96.66/12.63 % maximum path limit: 8
% 96.66/12.63 % literal attempts: 8776882
% 96.66/12.63 % depth failures: 3200138
% 96.66/12.63 % regularity failures: 953727
% 96.66/12.63 % tautology failures: 727722
% 96.66/12.63 % reductions: 0
% 96.66/12.63 % extensions: 8747557
% 96.66/12.63 % SAT variables: 2026314
% 96.66/12.63 % SAT clauses: 3637307
% 96.66/12.63 % WalkSAT solutions: 3637308
% 96.66/12.63 % CDCL solutions: 0
% 96.66/12.63 % SZS status Unsatisfiable for theBenchmark
% 96.66/12.63 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------