TSTP Solution File: SYO617-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYO617-1 : TPTP v8.1.2. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 : Wed May 31 12:49:22 EDT 2023
% Result : Unsatisfiable 0.14s 0.53s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SYO617-1 : TPTP v8.1.2. Released v7.1.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n025.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 : Tue May 30 10:22:42 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Drodi V3.5.1
% 0.14/0.53 % Refutation found
% 0.14/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.53 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.53 fof(f1,axiom,(
% 0.14/0.53 (![A]: (le(A,A) ))),
% 0.14/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.53 fof(f2,axiom,(
% 0.14/0.53 (![A,B,C]: (( ~ le(max(A,B),C)| le(A,C) ) ))),
% 0.14/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.53 fof(f3,axiom,(
% 0.14/0.53 (![A,B,C]: (( ~ le(max(A,B),C)| le(B,C) ) ))),
% 0.14/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.53 fof(f4,axiom,(
% 0.14/0.53 (![A]: (( eq(f(A),a0)| eq(f(A),a1)| eq(f(A),a2) ) ))),
% 0.14/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.53 fof(f5,axiom,(
% 0.14/0.53 (![A0,A1]: (( ~ eq(f(A0),a0)| ~ eq(f(A1),a0)| ~ le(s(A0),A1) ) ))),
% 0.14/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.53 fof(f6,axiom,(
% 0.14/0.53 (![A0,A1]: (( ~ eq(f(A0),a1)| ~ eq(f(A1),a1)| ~ le(s(A0),A1) ) ))),
% 0.14/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.53 fof(f7,axiom,(
% 0.14/0.53 (![A0,A1]: (( ~ eq(f(A0),a2)| ~ eq(f(A1),a2)| ~ le(s(A0),A1) ) ))),
% 0.14/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.53 fof(f8,plain,(
% 0.14/0.53 ![X0]: (le(X0,X0))),
% 0.14/0.53 inference(cnf_transformation,[status(esa)],[f1])).
% 0.14/0.53 fof(f9,plain,(
% 0.14/0.53 ![A,C]: ((![B]: ~le(max(A,B),C))|le(A,C))),
% 0.14/0.53 inference(miniscoping,[status(esa)],[f2])).
% 0.14/0.53 fof(f10,plain,(
% 0.14/0.53 ![X0,X1,X2]: (~le(max(X0,X1),X2)|le(X0,X2))),
% 0.14/0.53 inference(cnf_transformation,[status(esa)],[f9])).
% 0.14/0.53 fof(f11,plain,(
% 0.14/0.53 ![B,C]: ((![A]: ~le(max(A,B),C))|le(B,C))),
% 0.14/0.53 inference(miniscoping,[status(esa)],[f3])).
% 0.14/0.53 fof(f12,plain,(
% 0.14/0.53 ![X0,X1,X2]: (~le(max(X0,X1),X2)|le(X1,X2))),
% 0.14/0.53 inference(cnf_transformation,[status(esa)],[f11])).
% 0.14/0.53 fof(f13,plain,(
% 0.14/0.53 ![X0]: (eq(f(X0),a0)|eq(f(X0),a1)|eq(f(X0),a2))),
% 0.14/0.53 inference(cnf_transformation,[status(esa)],[f4])).
% 0.14/0.53 fof(f14,plain,(
% 0.14/0.53 ![X0,X1]: (~eq(f(X0),a0)|~eq(f(X1),a0)|~le(s(X0),X1))),
% 0.14/0.53 inference(cnf_transformation,[status(esa)],[f5])).
% 0.14/0.53 fof(f15,plain,(
% 0.14/0.53 ![X0,X1]: (~eq(f(X0),a1)|~eq(f(X1),a1)|~le(s(X0),X1))),
% 0.14/0.53 inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.53 fof(f16,plain,(
% 0.14/0.53 ![X0,X1]: (~eq(f(X0),a2)|~eq(f(X1),a2)|~le(s(X0),X1))),
% 0.14/0.53 inference(cnf_transformation,[status(esa)],[f7])).
% 0.14/0.53 fof(f17,plain,(
% 0.14/0.53 ![X0,X1]: (le(X0,max(X0,X1)))),
% 0.14/0.53 inference(resolution,[status(thm)],[f10,f8])).
% 0.14/0.53 fof(f18,plain,(
% 0.14/0.53 ![X0,X1,X2]: (le(X0,max(max(X0,X1),X2)))),
% 0.14/0.53 inference(resolution,[status(thm)],[f17,f10])).
% 0.14/0.53 fof(f19,plain,(
% 0.14/0.53 ![X0,X1,X2,X3]: (le(X0,max(max(max(X0,X1),X2),X3)))),
% 0.14/0.53 inference(resolution,[status(thm)],[f18,f10])).
% 0.14/0.53 fof(f22,plain,(
% 0.14/0.53 ![X0,X1]: (le(X0,max(X1,X0)))),
% 0.14/0.53 inference(resolution,[status(thm)],[f12,f8])).
% 0.14/0.53 fof(f23,plain,(
% 0.14/0.53 ![X0,X1,X2]: (le(X0,max(X1,max(X2,X0))))),
% 0.14/0.53 inference(resolution,[status(thm)],[f22,f12])).
% 0.14/0.53 fof(f24,plain,(
% 0.14/0.53 ![X0,X1,X2]: (le(X0,max(X1,max(X0,X2))))),
% 0.14/0.53 inference(resolution,[status(thm)],[f22,f10])).
% 0.14/0.53 fof(f28,plain,(
% 0.14/0.53 ![X0,X1,X2,X3]: (le(X0,max(X1,max(X2,max(X0,X3)))))),
% 0.14/0.53 inference(resolution,[status(thm)],[f23,f10])).
% 0.14/0.53 fof(f30,plain,(
% 0.14/0.53 ![X0,X1,X2,X3]: (le(X0,max(X1,max(max(X0,X2),X3))))),
% 0.14/0.53 inference(resolution,[status(thm)],[f24,f10])).
% 0.14/0.53 fof(f31,plain,(
% 0.14/0.53 ![X0,X1]: (~eq(f(X0),a1)|~le(s(X0),X1)|eq(f(X1),a0)|eq(f(X1),a2))),
% 0.14/0.53 inference(resolution,[status(thm)],[f15,f13])).
% 0.14/0.53 fof(f32,plain,(
% 0.14/0.53 ![X0,X1]: (~le(s(X0),X1)|eq(f(X1),a0)|eq(f(X1),a2)|eq(f(X0),a0)|eq(f(X0),a2))),
% 0.14/0.53 inference(resolution,[status(thm)],[f31,f13])).
% 0.14/0.53 fof(f37,plain,(
% 0.14/0.53 ![X0,X1]: (eq(f(max(X0,s(X1))),a0)|eq(f(max(X0,s(X1))),a2)|eq(f(X1),a0)|eq(f(X1),a2))),
% 0.14/0.53 inference(resolution,[status(thm)],[f32,f22])).
% 0.14/0.53 fof(f38,plain,(
% 0.14/0.53 ![X0,X1]: (eq(f(max(s(X0),X1)),a0)|eq(f(max(s(X0),X1)),a2)|eq(f(X0),a0)|eq(f(X0),a2))),
% 0.14/0.53 inference(resolution,[status(thm)],[f32,f17])).
% 0.14/0.53 fof(f39,plain,(
% 0.14/0.53 ![X0]: (eq(f(s(X0)),a0)|eq(f(s(X0)),a2)|eq(f(X0),a0)|eq(f(X0),a2))),
% 0.14/0.53 inference(resolution,[status(thm)],[f32,f8])).
% 0.14/0.53 fof(f42,plain,(
% 0.14/0.53 ![X0,X1,X2,X3,X4]: (le(X0,max(max(max(max(X0,X1),X2),X3),X4)))),
% 0.14/0.53 inference(resolution,[status(thm)],[f19,f10])).
% 0.14/0.53 fof(f57,plain,(
% 0.14/0.53 ![X0,X1,X2,X3,X4]: (le(X0,max(X1,max(X2,max(max(X0,X3),X4)))))),
% 0.14/0.53 inference(resolution,[status(thm)],[f28,f10])).
% 0.14/0.53 fof(f64,plain,(
% 0.14/0.53 ![X0,X1,X2]: (~eq(f(X0),a2)|~le(s(X0),max(s(X1),X2))|eq(f(max(s(X1),X2)),a0)|eq(f(X1),a0)|eq(f(X1),a2))),
% 0.14/0.53 inference(resolution,[status(thm)],[f16,f38])).
% 0.14/0.53 fof(f69,plain,(
% 0.14/0.53 ![X0,X1,X2]: (~eq(f(X0),a2)|~le(s(X0),max(X1,s(X2)))|eq(f(max(X1,s(X2))),a0)|eq(f(X2),a0)|eq(f(X2),a2))),
% 0.14/0.53 inference(resolution,[status(thm)],[f16,f37])).
% 0.14/0.53 fof(f106,plain,(
% 0.14/0.53 ![X0,X1,X2,X3,X4]: (le(X0,max(X1,max(max(max(X0,X2),X3),X4))))),
% 0.14/0.53 inference(resolution,[status(thm)],[f30,f10])).
% 0.14/0.53 fof(f114,plain,(
% 0.14/0.53 ![X0,X1,X2,X3,X4,X5]: (le(X0,max(max(max(max(max(X0,X1),X2),X3),X4),X5)))),
% 0.14/0.53 inference(resolution,[status(thm)],[f42,f10])).
% 0.14/0.53 fof(f154,plain,(
% 0.14/0.53 ![X0,X1,X2,X3,X4,X5]: (le(X0,max(X1,max(X2,max(max(max(X0,X3),X4),X5)))))),
% 0.14/0.53 inference(resolution,[status(thm)],[f57,f10])).
% 0.14/0.53 fof(f170,plain,(
% 0.14/0.53 ![X0,X1,X2,X3,X4,X5]: (le(X0,max(X1,max(max(max(max(X0,X2),X3),X4),X5))))),
% 0.14/0.53 inference(resolution,[status(thm)],[f106,f10])).
% 0.14/0.53 fof(f186,plain,(
% 0.14/0.53 ![X0,X1,X2,X3,X4,X5,X6]: (le(X0,max(max(max(max(max(max(X0,X1),X2),X3),X4),X5),X6)))),
% 0.14/0.53 inference(resolution,[status(thm)],[f114,f10])).
% 0.14/0.53 fof(f239,plain,(
% 0.14/0.53 ![X0,X1,X2]: (~eq(f(X0),a2)|eq(f(max(s(X1),max(s(X0),X2))),a0)|eq(f(X1),a0)|eq(f(X1),a2))),
% 0.14/0.53 inference(resolution,[status(thm)],[f64,f24])).
% 0.14/0.53 fof(f243,plain,(
% 0.14/0.53 ![X0,X1,X2,X3]: (~eq(f(X0),a2)|eq(f(X1),a0)|eq(f(X1),a2)|~eq(f(X2),a0)|~le(s(X2),max(s(X1),max(s(X0),X3))))),
% 0.14/0.53 inference(resolution,[status(thm)],[f239,f14])).
% 0.14/0.53 fof(f252,plain,(
% 0.14/0.53 spl0_1 <=> eq(f(X1),a0)|eq(f(X1),a2)),
% 0.14/0.53 introduced(split_symbol_definition)).
% 0.14/0.53 fof(f253,plain,(
% 0.14/0.53 ![X0]: (eq(f(X0),a0)|eq(f(X0),a2)|~spl0_1)),
% 0.14/0.53 inference(component_clause,[status(thm)],[f252])).
% 0.14/0.53 fof(f257,plain,(
% 0.14/0.53 spl0_2 <=> ~eq(f(X0),a2)),
% 0.14/0.53 introduced(split_symbol_definition)).
% 0.14/0.53 fof(f258,plain,(
% 0.14/0.53 ![X0]: (~eq(f(X0),a2)|~spl0_2)),
% 0.14/0.53 inference(component_clause,[status(thm)],[f257])).
% 0.14/0.53 fof(f291,plain,(
% 0.14/0.53 ![X0,X1]: (~eq(f(X0),a2)|eq(f(max(s(X0),s(X1))),a0)|eq(f(X1),a0)|eq(f(X1),a2))),
% 0.14/0.53 inference(resolution,[status(thm)],[f69,f17])).
% 0.14/0.53 fof(f490,plain,(
% 0.14/0.53 ![X0,X1,X2,X3,X4,X5,X6]: (le(X0,max(X1,max(X2,max(max(max(max(X0,X3),X4),X5),X6)))))),
% 0.14/0.53 inference(resolution,[status(thm)],[f154,f10])).
% 0.14/0.53 fof(f602,plain,(
% 0.14/0.53 ![X0,X1,X2,X3,X4,X5,X6,X7]: (le(X0,max(max(max(max(max(max(max(X0,X1),X2),X3),X4),X5),X6),X7)))),
% 0.14/0.53 inference(resolution,[status(thm)],[f186,f10])).
% 0.14/0.53 fof(f637,plain,(
% 0.14/0.53 ![X0,X1]: (eq(f(max(s(X0),X1)),a0)|eq(f(X0),a0)|eq(f(X0),a2)|~spl0_2)),
% 0.14/0.53 inference(backward_subsumption_resolution,[status(thm)],[f38,f258])).
% 0.14/0.53 fof(f638,plain,(
% 0.14/0.53 ![X0,X1]: (eq(f(max(s(X0),X1)),a0)|eq(f(X0),a0)|~spl0_2)),
% 0.14/0.53 inference(forward_subsumption_resolution,[status(thm)],[f637,f258])).
% 0.14/0.53 fof(f954,plain,(
% 0.14/0.53 ![X0,X1,X2]: (eq(f(X0),a0)|~eq(f(X1),a0)|~le(s(X1),max(s(X0),X2))|~spl0_2)),
% 0.14/0.53 inference(resolution,[status(thm)],[f638,f14])).
% 0.14/0.53 fof(f1057,plain,(
% 0.14/0.53 spl0_4 <=> eq(f(X0),a0)),
% 0.14/0.53 introduced(split_symbol_definition)).
% 0.14/0.53 fof(f1058,plain,(
% 0.14/0.53 ![X0]: (eq(f(X0),a0)|~spl0_4)),
% 0.14/0.53 inference(component_clause,[status(thm)],[f1057])).
% 0.14/0.53 fof(f1060,plain,(
% 0.14/0.53 spl0_5 <=> ~eq(f(X1),a0)),
% 0.14/0.53 introduced(split_symbol_definition)).
% 0.14/0.53 fof(f1061,plain,(
% 0.14/0.53 ![X0]: (~eq(f(X0),a0)|~spl0_5)),
% 0.14/0.53 inference(component_clause,[status(thm)],[f1060])).
% 0.14/0.53 fof(f1063,plain,(
% 0.14/0.53 ![X0,X1]: (eq(f(X0),a0)|~eq(f(X1),a0)|~spl0_2)),
% 0.14/0.53 inference(resolution,[status(thm)],[f954,f170])).
% 0.14/0.53 fof(f1064,plain,(
% 0.14/0.53 spl0_4|spl0_5|~spl0_2),
% 0.14/0.53 inference(split_clause,[status(thm)],[f1063,f1057,f1060,f257])).
% 0.14/0.53 fof(f1134,plain,(
% 0.14/0.53 ![X0]: (eq(f(s(X0)),a2)|eq(f(X0),a0)|eq(f(X0),a2)|~spl0_5)),
% 0.14/0.53 inference(forward_subsumption_resolution,[status(thm)],[f39,f1061])).
% 0.14/0.53 fof(f1453,plain,(
% 0.14/0.53 ![X0,X1]: (~eq(f(X0),a2)|eq(f(X1),a0)|eq(f(X1),a2)|~spl0_5)),
% 0.14/0.53 inference(forward_subsumption_resolution,[status(thm)],[f291,f1061])).
% 0.14/0.53 fof(f1456,plain,(
% 0.14/0.53 ![X0]: (eq(f(X0),a0)|eq(f(X0),a2)|~spl0_5)),
% 0.14/0.53 inference(backward_subsumption_resolution,[status(thm)],[f1134,f1453])).
% 0.14/0.53 fof(f1457,plain,(
% 0.14/0.53 ![X0]: (eq(f(X0),a2)|~spl0_5)),
% 0.14/0.53 inference(forward_subsumption_resolution,[status(thm)],[f1456,f1061])).
% 0.14/0.53 fof(f1779,plain,(
% 0.14/0.53 ![X0,X1]: (~eq(f(X0),a2)|~le(s(X0),X1)|eq(f(X1),a0)|~spl0_1)),
% 0.14/0.53 inference(resolution,[status(thm)],[f16,f253])).
% 0.14/0.53 fof(f1821,plain,(
% 0.14/0.53 ![X0,X1]: (~eq(f(X0),a0)|~le(s(X1),X0)|~spl0_4)),
% 0.14/0.53 inference(forward_subsumption_resolution,[status(thm)],[f14,f1058])).
% 0.14/0.53 fof(f1822,plain,(
% 0.14/0.53 ![X0,X1]: (~le(s(X0),X1)|~spl0_4)),
% 0.14/0.53 inference(resolution,[status(thm)],[f1821,f1058])).
% 0.14/0.53 fof(f1829,plain,(
% 0.14/0.53 $false|~spl0_4),
% 0.14/0.53 inference(resolution,[status(thm)],[f1822,f186])).
% 0.14/0.53 fof(f1830,plain,(
% 0.14/0.53 ~spl0_4),
% 0.14/0.53 inference(contradiction_clause,[status(thm)],[f1829])).
% 0.14/0.53 fof(f2036,plain,(
% 0.14/0.53 ![X0,X1]: (eq(f(X0),a0)|~le(s(X0),X1)|eq(f(X1),a0)|~spl0_1)),
% 0.14/0.53 inference(resolution,[status(thm)],[f253,f1779])).
% 0.14/0.53 fof(f2450,plain,(
% 0.14/0.53 ![X0,X1]: (~eq(f(X0),a2)|~le(s(X1),X0)|~spl0_5)),
% 0.14/0.53 inference(backward_subsumption_resolution,[status(thm)],[f16,f1457])).
% 0.14/0.53 fof(f2451,plain,(
% 0.14/0.53 ![X0,X1]: (~le(s(X0),X1)|~spl0_5)),
% 0.14/0.53 inference(forward_subsumption_resolution,[status(thm)],[f2450,f1457])).
% 0.14/0.53 fof(f2452,plain,(
% 0.14/0.53 $false|~spl0_5),
% 0.14/0.53 inference(resolution,[status(thm)],[f2451,f186])).
% 0.14/0.53 fof(f2453,plain,(
% 0.14/0.53 ~spl0_5),
% 0.14/0.53 inference(contradiction_clause,[status(thm)],[f2452])).
% 0.14/0.53 fof(f2938,plain,(
% 0.14/0.53 ![X0,X1,X2]: (~eq(f(X0),a2)|eq(f(X1),a0)|eq(f(X1),a2)|~eq(f(X2),a0))),
% 0.14/0.53 inference(resolution,[status(thm)],[f243,f490])).
% 0.14/0.53 fof(f2939,plain,(
% 0.14/0.53 spl0_2|spl0_1|spl0_5),
% 0.14/0.53 inference(split_clause,[status(thm)],[f2938,f257,f252,f1060])).
% 0.14/0.53 fof(f3220,plain,(
% 0.14/0.53 ![X0,X1]: (eq(f(X0),a0)|eq(f(max(X1,s(X0))),a0)|~spl0_1)),
% 0.14/0.53 inference(resolution,[status(thm)],[f2036,f22])).
% 0.14/0.53 fof(f3224,plain,(
% 0.14/0.53 ![X0,X1,X2]: (eq(f(X0),a0)|~eq(f(X1),a0)|~le(s(X1),max(X2,s(X0)))|~spl0_1)),
% 0.14/0.53 inference(resolution,[status(thm)],[f3220,f14])).
% 0.14/0.53 fof(f3300,plain,(
% 0.14/0.53 ![X0,X1]: (eq(f(X0),a0)|~eq(f(X1),a0)|~spl0_1)),
% 0.14/0.53 inference(resolution,[status(thm)],[f3224,f602])).
% 0.14/0.53 fof(f3301,plain,(
% 0.14/0.53 spl0_4|spl0_5|~spl0_1),
% 0.14/0.53 inference(split_clause,[status(thm)],[f3300,f1057,f1060,f252])).
% 0.14/0.53 fof(f3488,plain,(
% 0.14/0.53 $false),
% 0.14/0.53 inference(sat_refutation,[status(thm)],[f1064,f1830,f2453,f2939,f3301])).
% 0.14/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.54 % Elapsed time: 0.242574 seconds
% 0.14/0.54 % CPU time: 1.601251 seconds
% 0.14/0.54 % Memory used: 18.780 MB
%------------------------------------------------------------------------------