TSTP Solution File: SYN573-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN573-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 : 300s
% DateTime : Tue Apr 30 20:52:33 EDT 2024
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : SYN573-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n031.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Apr 29 22:35:58 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f1,negated_conjecture,(
% 0.13/0.36 p12(c15) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f3,negated_conjecture,(
% 0.13/0.36 (![X17]: (p2(X17,X17) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f8,negated_conjecture,(
% 0.13/0.36 (![X26,X27]: (( p2(f8(X26),f8(X27))| ~ p2(X26,X27) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f14,negated_conjecture,(
% 0.13/0.36 (![X9]: (( p11(X9,c16)| p2(X9,f9(c17))| ~ p12(X9) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f16,negated_conjecture,(
% 0.13/0.36 (![X7,X8]: (p11(X7,f3(f8(X8),f3(f8(X7),f5(f6(f7(c14)))))) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f17,negated_conjecture,(
% 0.13/0.36 (![X0,X1,X2,X3]: (( p11(X0,X1)| ~ p2(X2,X0)| ~ p2(X3,X1)| ~ p11(X2,X3) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f19,negated_conjecture,(
% 0.13/0.36 ~ p11(c15,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14)))))) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f20,negated_conjecture,(
% 0.13/0.36 (![X20,X21,X22,X23]: (( p2(f3(X20,X21),f3(X22,X23))| ~ p2(X20,X22)| ~ p2(X21,X23) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f21,negated_conjecture,(
% 0.13/0.36 (![X4,X5,X6]: (( p11(X4,f3(f8(X5),f3(f8(X6),f5(f6(f7(c14))))))| ~ p11(X4,X5) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f22,plain,(
% 0.13/0.36 p12(c15)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f1])).
% 0.13/0.36 fof(f24,plain,(
% 0.13/0.36 ![X0]: (p2(X0,X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f3])).
% 0.13/0.36 fof(f29,plain,(
% 0.13/0.36 ![X0,X1]: (p2(f8(X0),f8(X1))|~p2(X0,X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f8])).
% 0.13/0.36 fof(f37,plain,(
% 0.13/0.36 ![X0]: (p11(X0,c16)|p2(X0,f9(c17))|~p12(X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f14])).
% 0.13/0.36 fof(f39,plain,(
% 0.13/0.36 ![X0,X1]: (p11(X0,f3(f8(X1),f3(f8(X0),f5(f6(f7(c14)))))))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f16])).
% 0.13/0.36 fof(f40,plain,(
% 0.13/0.36 ![X2,X3]: ((![X1]: ((![X0]: (p11(X0,X1)|~p2(X2,X0)))|~p2(X3,X1)))|~p11(X2,X3))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f17])).
% 0.13/0.36 fof(f41,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (p11(X0,X1)|~p2(X2,X0)|~p2(X3,X1)|~p11(X2,X3))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f40])).
% 0.13/0.36 fof(f44,plain,(
% 0.13/0.36 ~p11(c15,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14))))))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f19])).
% 0.13/0.36 fof(f45,plain,(
% 0.13/0.36 ![X21,X23]: ((![X20,X22]: (p2(f3(X20,X21),f3(X22,X23))|~p2(X20,X22)))|~p2(X21,X23))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f20])).
% 0.13/0.36 fof(f46,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (p2(f3(X0,X1),f3(X2,X3))|~p2(X0,X2)|~p2(X1,X3))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f45])).
% 0.13/0.36 fof(f47,plain,(
% 0.13/0.36 ![X4,X5]: ((![X6]: p11(X4,f3(f8(X5),f3(f8(X6),f5(f6(f7(c14)))))))|~p11(X4,X5))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f21])).
% 0.13/0.36 fof(f48,plain,(
% 0.13/0.36 ![X0,X1,X2]: (p11(X0,f3(f8(X1),f3(f8(X2),f5(f6(f7(c14))))))|~p11(X0,X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f47])).
% 0.13/0.36 fof(f49,plain,(
% 0.13/0.36 ~p11(c15,c16)),
% 0.13/0.36 inference(resolution,[status(thm)],[f44,f48])).
% 0.13/0.36 fof(f50,plain,(
% 0.13/0.36 ![X0,X1]: (~p2(X0,c15)|~p2(X1,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14))))))|~p11(X0,X1))),
% 0.13/0.36 inference(resolution,[status(thm)],[f44,f41])).
% 0.13/0.36 fof(f51,plain,(
% 0.13/0.36 spl0_0 <=> p2(c15,f9(c17))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f52,plain,(
% 0.13/0.36 p2(c15,f9(c17))|~spl0_0),
% 0.13/0.36 inference(component_clause,[status(thm)],[f51])).
% 0.13/0.36 fof(f54,plain,(
% 0.13/0.36 spl0_1 <=> p12(c15)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f56,plain,(
% 0.13/0.36 ~p12(c15)|spl0_1),
% 0.13/0.36 inference(component_clause,[status(thm)],[f54])).
% 0.13/0.36 fof(f57,plain,(
% 0.13/0.36 p2(c15,f9(c17))|~p12(c15)),
% 0.13/0.36 inference(resolution,[status(thm)],[f49,f37])).
% 0.13/0.36 fof(f58,plain,(
% 0.13/0.36 spl0_0|~spl0_1),
% 0.13/0.36 inference(split_clause,[status(thm)],[f57,f51,f54])).
% 0.13/0.36 fof(f60,plain,(
% 0.13/0.36 $false|spl0_1),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f56,f22])).
% 0.13/0.36 fof(f61,plain,(
% 0.13/0.36 spl0_1),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f60])).
% 0.13/0.36 fof(f105,plain,(
% 0.13/0.36 ![X0]: (~p2(X0,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14))))))|~p11(c15,X0))),
% 0.13/0.36 inference(resolution,[status(thm)],[f50,f24])).
% 0.13/0.37 fof(f108,plain,(
% 0.13/0.37 ![X0,X1]: (~p11(c15,f3(X0,X1))|~p2(X0,f8(c16))|~p2(X1,f3(f8(f9(c17)),f5(f6(f7(c14))))))),
% 0.13/0.37 inference(resolution,[status(thm)],[f105,f46])).
% 0.13/0.37 fof(f294,plain,(
% 0.13/0.37 spl0_23 <=> ~p2(f8(X0),f8(c16))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f295,plain,(
% 0.13/0.37 ![X0]: (~p2(f8(X0),f8(c16))|~spl0_23)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f294])).
% 0.13/0.37 fof(f297,plain,(
% 0.13/0.37 spl0_24 <=> p2(f3(f8(c15),f5(f6(f7(c14)))),f3(f8(f9(c17)),f5(f6(f7(c14)))))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f299,plain,(
% 0.13/0.37 ~p2(f3(f8(c15),f5(f6(f7(c14)))),f3(f8(f9(c17)),f5(f6(f7(c14)))))|spl0_24),
% 0.13/0.37 inference(component_clause,[status(thm)],[f297])).
% 0.13/0.37 fof(f300,plain,(
% 0.13/0.37 ![X0]: (~p2(f8(X0),f8(c16))|~p2(f3(f8(c15),f5(f6(f7(c14)))),f3(f8(f9(c17)),f5(f6(f7(c14))))))),
% 0.13/0.37 inference(resolution,[status(thm)],[f108,f39])).
% 0.13/0.37 fof(f301,plain,(
% 0.13/0.37 spl0_23|~spl0_24),
% 0.13/0.37 inference(split_clause,[status(thm)],[f300,f294,f297])).
% 0.13/0.37 fof(f416,plain,(
% 0.13/0.37 spl0_36 <=> p2(f8(c15),f8(f9(c17)))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f418,plain,(
% 0.13/0.37 ~p2(f8(c15),f8(f9(c17)))|spl0_36),
% 0.13/0.37 inference(component_clause,[status(thm)],[f416])).
% 0.13/0.37 fof(f419,plain,(
% 0.13/0.37 spl0_37 <=> p2(f5(f6(f7(c14))),f5(f6(f7(c14))))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f421,plain,(
% 0.13/0.37 ~p2(f5(f6(f7(c14))),f5(f6(f7(c14))))|spl0_37),
% 0.13/0.37 inference(component_clause,[status(thm)],[f419])).
% 0.13/0.37 fof(f422,plain,(
% 0.13/0.37 ~p2(f8(c15),f8(f9(c17)))|~p2(f5(f6(f7(c14))),f5(f6(f7(c14))))|spl0_24),
% 0.13/0.37 inference(resolution,[status(thm)],[f299,f46])).
% 0.13/0.37 fof(f423,plain,(
% 0.13/0.37 ~spl0_36|~spl0_37|spl0_24),
% 0.13/0.37 inference(split_clause,[status(thm)],[f422,f416,f419,f297])).
% 0.13/0.37 fof(f425,plain,(
% 0.13/0.37 $false|spl0_37),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f421,f24])).
% 0.13/0.37 fof(f426,plain,(
% 0.13/0.37 spl0_37),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f425])).
% 0.13/0.37 fof(f430,plain,(
% 0.13/0.37 $false|~spl0_23),
% 0.13/0.37 inference(resolution,[status(thm)],[f295,f24])).
% 0.13/0.37 fof(f431,plain,(
% 0.13/0.37 ~spl0_23),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f430])).
% 0.13/0.37 fof(f447,plain,(
% 0.13/0.37 ~p2(c15,f9(c17))|spl0_36),
% 0.13/0.37 inference(resolution,[status(thm)],[f418,f29])).
% 0.13/0.37 fof(f448,plain,(
% 0.13/0.37 $false|~spl0_0|spl0_36),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f447,f52])).
% 0.13/0.37 fof(f449,plain,(
% 0.13/0.37 ~spl0_0|spl0_36),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f448])).
% 0.13/0.37 fof(f450,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(sat_refutation,[status(thm)],[f58,f61,f301,f423,f426,f431,f449])).
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.37 % Elapsed time: 0.070548 seconds
% 0.13/0.37 % CPU time: 0.496023 seconds
% 0.13/0.37 % Total memory used: 16.529 MB
% 0.13/0.37 % Net memory used: 16.125 MB
%------------------------------------------------------------------------------