TSTP Solution File: SYO633-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYO633-1 : TPTP v8.1.2. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 20:54:37 EDT 2024
% Result : Unsatisfiable 0.09s 0.31s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SYO633-1 : TPTP v8.1.2. Released v7.1.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n023.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Apr 29 21:21:40 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Drodi V3.6.0
% 0.09/0.31 % Refutation found
% 0.09/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.31 fof(f3,axiom,(
% 0.09/0.31 (![E,A_2,A_0,A_1,A_3,A_4,B_0]: (( ~ 'E'(f(A_2),s(s('0')))| ~ 'E'(f(A_0),s(s(s(s('0')))))| ~ 'E'(f(A_1),s(s(s('0'))))| ~ 'E'(f(A_3),s('0'))| ~ 'E'(f(A_4),'0')| ~ 'E'(f(B_0),s(s(s(s(s('0')))))) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f4,axiom,(
% 0.09/0.31 (![E,B_0]: ('E'(f(B_0),s(s(s(s('0'))))) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f5,axiom,(
% 0.09/0.31 (![E,B]: ('E'(f(B),s(s(s(s(s('0')))))) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f7,axiom,(
% 0.09/0.31 (![E,A_2,A_0,A_1,A_3,B_0,AP,K]: (( ~ 'E'(f(A_2),s(s('0')))| ~ 'E'(f(A_0),s(s(s(s('0')))))| ~ 'E'(f(A_1),s(s(s('0'))))| ~ 'E'(f(A_3),s('0'))| ~ 'E'(f(B_0),s(s(s(s(s('0'))))))| 'E'(f('AP'(s(s(s(s(s(s('0')))))),K)),'0') ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f9,axiom,(
% 0.09/0.31 (![E,A_0,B_0,A_1,A_2,AP,K]: (( ~ 'E'(f(A_0),s(s(s(s('0')))))| ~ 'E'(f(B_0),s(s(s(s(s('0'))))))| ~ 'E'(f(A_1),s(s(s('0'))))| ~ 'E'(f(A_2),s(s('0')))| 'E'(f('AP'(s(s(s(s(s(s('0')))))),K)),s('0')) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f10,axiom,(
% 0.09/0.31 (![E,A_0,B_0]: (( ~ 'E'(f(A_0),s(s(s(s('0')))))| ~ 'E'(f(B_0),s(s(s(s(s('0'))))))| 'E'(f(B_0),s(s(s('0')))) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f12,axiom,(
% 0.09/0.31 (![E,A_0,B_0,A_1,AP,K]: (( ~ 'E'(f(A_0),s(s(s(s('0')))))| ~ 'E'(f(B_0),s(s(s(s(s('0'))))))| ~ 'E'(f(A_1),s(s(s('0'))))| 'E'(f('AP'(s(s(s(s(s(s('0')))))),K)),s(s('0'))) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f18,plain,(
% 0.09/0.31 (((((![A_2]: ~'E'(f(A_2),s(s('0'))))|(![A_0]: ~'E'(f(A_0),s(s(s(s('0')))))))|(![A_1]: ~'E'(f(A_1),s(s(s('0'))))))|(![A_3]: ~'E'(f(A_3),s('0'))))|(![A_4]: ~'E'(f(A_4),'0')))|(![B_0]: ~'E'(f(B_0),s(s(s(s(s('0')))))))),
% 0.09/0.31 inference(miniscoping,[status(esa)],[f3])).
% 0.09/0.31 fof(f19,plain,(
% 0.09/0.31 ![E,X0,X1,X2,X3,X4,X5]: (~'E'(f(X0),s(s('0')))|~'E'(f(X1),s(s(s(s('0')))))|~'E'(f(X2),s(s(s('0'))))|~'E'(f(X3),s('0'))|~'E'(f(X4),'0')|~'E'(f(X5),s(s(s(s(s('0')))))))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f18])).
% 0.09/0.31 fof(f20,plain,(
% 0.09/0.31 ![B_0]: 'E'(f(B_0),s(s(s(s('0')))))),
% 0.09/0.31 inference(miniscoping,[status(esa)],[f4])).
% 0.09/0.31 fof(f21,plain,(
% 0.09/0.31 ![E,X0]: ('E'(f(X0),s(s(s(s('0'))))))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f20])).
% 0.09/0.31 fof(f22,plain,(
% 0.09/0.31 ![B]: 'E'(f(B),s(s(s(s(s('0'))))))),
% 0.09/0.31 inference(miniscoping,[status(esa)],[f5])).
% 0.09/0.31 fof(f23,plain,(
% 0.09/0.31 ![E,X0]: ('E'(f(X0),s(s(s(s(s('0')))))))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f22])).
% 0.09/0.31 fof(f26,plain,(
% 0.09/0.31 (((((![A_2]: ~'E'(f(A_2),s(s('0'))))|(![A_0]: ~'E'(f(A_0),s(s(s(s('0')))))))|(![A_1]: ~'E'(f(A_1),s(s(s('0'))))))|(![A_3]: ~'E'(f(A_3),s('0'))))|(![B_0]: ~'E'(f(B_0),s(s(s(s(s('0'))))))))|(![K]: 'E'(f('AP'(s(s(s(s(s(s('0')))))),K)),'0'))),
% 0.09/0.31 inference(miniscoping,[status(esa)],[f7])).
% 0.09/0.31 fof(f27,plain,(
% 0.09/0.31 ![E,X0,X1,X2,X3,X4,AP,X5]: (~'E'(f(X0),s(s('0')))|~'E'(f(X1),s(s(s(s('0')))))|~'E'(f(X2),s(s(s('0'))))|~'E'(f(X3),s('0'))|~'E'(f(X4),s(s(s(s(s('0'))))))|'E'(f('AP'(s(s(s(s(s(s('0')))))),X5)),'0'))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f26])).
% 0.09/0.31 fof(f30,plain,(
% 0.09/0.31 ((((![A_0]: ~'E'(f(A_0),s(s(s(s('0'))))))|(![B_0]: ~'E'(f(B_0),s(s(s(s(s('0'))))))))|(![A_1]: ~'E'(f(A_1),s(s(s('0'))))))|(![A_2]: ~'E'(f(A_2),s(s('0')))))|(![K]: 'E'(f('AP'(s(s(s(s(s(s('0')))))),K)),s('0')))),
% 0.09/0.31 inference(miniscoping,[status(esa)],[f9])).
% 0.09/0.31 fof(f31,plain,(
% 0.09/0.31 ![E,X0,X1,X2,X3,AP,X4]: (~'E'(f(X0),s(s(s(s('0')))))|~'E'(f(X1),s(s(s(s(s('0'))))))|~'E'(f(X2),s(s(s('0'))))|~'E'(f(X3),s(s('0')))|'E'(f('AP'(s(s(s(s(s(s('0')))))),X4)),s('0')))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f30])).
% 0.09/0.31 fof(f32,plain,(
% 0.09/0.31 ![B_0]: (((![A_0]: ~'E'(f(A_0),s(s(s(s('0'))))))|~'E'(f(B_0),s(s(s(s(s('0')))))))|'E'(f(B_0),s(s(s('0')))))),
% 0.09/0.31 inference(miniscoping,[status(esa)],[f10])).
% 0.09/0.31 fof(f33,plain,(
% 0.09/0.31 ![E,X0,X1]: (~'E'(f(X0),s(s(s(s('0')))))|~'E'(f(X1),s(s(s(s(s('0'))))))|'E'(f(X1),s(s(s('0')))))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f32])).
% 0.09/0.31 fof(f36,plain,(
% 0.09/0.31 (((![A_0]: ~'E'(f(A_0),s(s(s(s('0'))))))|(![B_0]: ~'E'(f(B_0),s(s(s(s(s('0'))))))))|(![A_1]: ~'E'(f(A_1),s(s(s('0'))))))|(![K]: 'E'(f('AP'(s(s(s(s(s(s('0')))))),K)),s(s('0'))))),
% 0.09/0.31 inference(miniscoping,[status(esa)],[f12])).
% 0.09/0.31 fof(f37,plain,(
% 0.09/0.31 ![E,X0,X1,X2,AP,X3]: (~'E'(f(X0),s(s(s(s('0')))))|~'E'(f(X1),s(s(s(s(s('0'))))))|~'E'(f(X2),s(s(s('0'))))|'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s(s('0'))))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f36])).
% 0.09/0.31 fof(f40,plain,(
% 0.09/0.31 spl0_0 <=> ~'E'(f(X0),s(s(s(s('0')))))),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f41,plain,(
% 0.09/0.31 ![E,X0]: (~'E'(f(X0),s(s(s(s('0')))))|~spl0_0)),
% 0.09/0.31 inference(component_clause,[status(thm)],[f40])).
% 0.09/0.31 fof(f43,plain,(
% 0.09/0.31 spl0_1 <=> ~'E'(f(X1),s(s(s(s(s('0'))))))),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f44,plain,(
% 0.09/0.31 ![E,X0]: (~'E'(f(X0),s(s(s(s(s('0'))))))|~spl0_1)),
% 0.09/0.31 inference(component_clause,[status(thm)],[f43])).
% 0.09/0.31 fof(f46,plain,(
% 0.09/0.31 spl0_2 <=> ~'E'(f(X2),s(s(s('0'))))),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f47,plain,(
% 0.09/0.31 ![E,X0]: (~'E'(f(X0),s(s(s('0'))))|~spl0_2)),
% 0.09/0.31 inference(component_clause,[status(thm)],[f46])).
% 0.09/0.31 fof(f53,plain,(
% 0.09/0.31 spl0_4 <=> ~'E'(f(X3),s(s('0')))),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f54,plain,(
% 0.09/0.31 ![E,X0]: (~'E'(f(X0),s(s('0')))|~spl0_4)),
% 0.09/0.31 inference(component_clause,[status(thm)],[f53])).
% 0.09/0.31 fof(f60,plain,(
% 0.09/0.31 spl0_6 <=> ~'E'(f(X3),s('0'))),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f61,plain,(
% 0.09/0.31 ![E,X0]: (~'E'(f(X0),s('0'))|~spl0_6)),
% 0.09/0.31 inference(component_clause,[status(thm)],[f60])).
% 0.09/0.31 fof(f63,plain,(
% 0.09/0.31 spl0_7 <=> ~'E'(f(X4),'0')),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f64,plain,(
% 0.09/0.31 ![E,X0]: (~'E'(f(X0),'0')|~spl0_7)),
% 0.09/0.31 inference(component_clause,[status(thm)],[f63])).
% 0.09/0.31 fof(f66,plain,(
% 0.09/0.31 spl0_4|spl0_0|spl0_2|spl0_6|spl0_7|spl0_1),
% 0.09/0.31 inference(split_clause,[status(thm)],[f19,f53,f40,f46,f60,f63,f43])).
% 0.09/0.31 fof(f67,plain,(
% 0.09/0.31 spl0_8 <=> 'E'(f('AP'(s(s(s(s(s(s('0')))))),X5)),'0')),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f68,plain,(
% 0.09/0.31 ![E,AP,X0]: ('E'(f('AP'(s(s(s(s(s(s('0')))))),X0)),'0')|~spl0_8)),
% 0.09/0.31 inference(component_clause,[status(thm)],[f67])).
% 0.09/0.31 fof(f70,plain,(
% 0.09/0.31 spl0_4|spl0_0|spl0_2|spl0_6|spl0_1|spl0_8),
% 0.09/0.31 inference(split_clause,[status(thm)],[f27,f53,f40,f46,f60,f43,f67])).
% 0.09/0.31 fof(f71,plain,(
% 0.09/0.31 spl0_9 <=> 'E'(f('AP'(s(s(s(s(s(s('0')))))),X4)),s('0'))),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f72,plain,(
% 0.09/0.31 ![E,AP,X0]: ('E'(f('AP'(s(s(s(s(s(s('0')))))),X0)),s('0'))|~spl0_9)),
% 0.09/0.31 inference(component_clause,[status(thm)],[f71])).
% 0.09/0.31 fof(f74,plain,(
% 0.09/0.31 spl0_0|spl0_1|spl0_2|spl0_4|spl0_9),
% 0.09/0.31 inference(split_clause,[status(thm)],[f31,f40,f43,f46,f53,f71])).
% 0.09/0.31 fof(f75,plain,(
% 0.09/0.31 spl0_10 <=> ~'E'(f(X1),s(s(s(s(s('0'))))))|'E'(f(X1),s(s(s('0'))))),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f76,plain,(
% 0.09/0.31 ![E,X0]: (~'E'(f(X0),s(s(s(s(s('0'))))))|'E'(f(X0),s(s(s('0'))))|~spl0_10)),
% 0.09/0.31 inference(component_clause,[status(thm)],[f75])).
% 0.09/0.31 fof(f78,plain,(
% 0.09/0.31 spl0_0|spl0_10),
% 0.09/0.31 inference(split_clause,[status(thm)],[f33,f40,f75])).
% 0.09/0.31 fof(f83,plain,(
% 0.09/0.31 spl0_12 <=> 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s(s('0')))),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f84,plain,(
% 0.09/0.31 ![E,AP,X0]: ('E'(f('AP'(s(s(s(s(s(s('0')))))),X0)),s(s('0')))|~spl0_12)),
% 0.09/0.31 inference(component_clause,[status(thm)],[f83])).
% 0.09/0.31 fof(f86,plain,(
% 0.09/0.31 spl0_0|spl0_1|spl0_2|spl0_12),
% 0.09/0.31 inference(split_clause,[status(thm)],[f37,f40,f43,f46,f83])).
% 0.09/0.31 fof(f91,plain,(
% 0.09/0.31 $false|~spl0_0),
% 0.09/0.31 inference(forward_subsumption_resolution,[status(thm)],[f41,f21])).
% 0.09/0.31 fof(f92,plain,(
% 0.09/0.31 ~spl0_0),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f91])).
% 0.09/0.31 fof(f93,plain,(
% 0.09/0.31 $false|~spl0_1),
% 0.09/0.31 inference(forward_subsumption_resolution,[status(thm)],[f44,f23])).
% 0.09/0.31 fof(f94,plain,(
% 0.09/0.31 ~spl0_1),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f93])).
% 0.09/0.31 fof(f95,plain,(
% 0.09/0.31 ![E,X0]: ('E'(f(X0),s(s(s('0'))))|~spl0_10)),
% 0.09/0.31 inference(forward_subsumption_resolution,[status(thm)],[f76,f23])).
% 0.09/0.31 fof(f97,plain,(
% 0.09/0.31 $false|~spl0_10|~spl0_2),
% 0.09/0.31 inference(forward_subsumption_resolution,[status(thm)],[f47,f95])).
% 0.09/0.31 fof(f98,plain,(
% 0.09/0.31 ~spl0_10|~spl0_2),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f97])).
% 0.09/0.31 fof(f99,plain,(
% 0.09/0.31 $false|~spl0_4|~spl0_12),
% 0.09/0.31 inference(forward_subsumption_resolution,[status(thm)],[f84,f54])).
% 0.09/0.31 fof(f100,plain,(
% 0.09/0.31 ~spl0_4|~spl0_12),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f99])).
% 0.09/0.31 fof(f101,plain,(
% 0.09/0.31 $false|~spl0_6|~spl0_9),
% 0.09/0.31 inference(forward_subsumption_resolution,[status(thm)],[f72,f61])).
% 0.09/0.31 fof(f102,plain,(
% 0.09/0.31 ~spl0_6|~spl0_9),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f101])).
% 0.09/0.31 fof(f103,plain,(
% 0.09/0.31 $false|~spl0_7|~spl0_8),
% 0.09/0.31 inference(forward_subsumption_resolution,[status(thm)],[f68,f64])).
% 0.09/0.31 fof(f104,plain,(
% 0.09/0.31 ~spl0_7|~spl0_8),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f103])).
% 0.09/0.31 fof(f105,plain,(
% 0.09/0.31 $false),
% 0.09/0.31 inference(sat_refutation,[status(thm)],[f66,f70,f74,f78,f86,f92,f94,f98,f100,f102,f104])).
% 0.09/0.31 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.32 % Elapsed time: 0.008737 seconds
% 0.14/0.32 % CPU time: 0.009188 seconds
% 0.14/0.32 % Total memory used: 270.240 KB
% 0.14/0.32 % Net memory used: 267.360 KB
%------------------------------------------------------------------------------