%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYO633-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:44:41 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO633-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n010.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 12:06:41 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f3,axiom,(
% 0.09/0.40 (![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')))))) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f4,axiom,(
% 0.09/0.40 (![E,B_0]: ('E'(f(B_0),s(s(s(s('0'))))) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f5,axiom,(
% 0.09/0.40 (![E,B]: ('E'(f(B),s(s(s(s(s('0')))))) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f7,axiom,(
% 0.09/0.40 (![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') ) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f9,axiom,(
% 0.09/0.40 (![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')) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f10,axiom,(
% 0.09/0.40 (![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')))) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f12,axiom,(
% 0.09/0.40 (![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'))) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f18,plain,(
% 0.09/0.40 (((((![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')))))))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f3])).
% 0.09/0.40 fof(f19,plain,(
% 0.09/0.40 ![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')))))))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.09/0.40 fof(f20,plain,(
% 0.09/0.40 ![B_0]: 'E'(f(B_0),s(s(s(s('0')))))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f4])).
% 0.09/0.40 fof(f21,plain,(
% 0.09/0.40 ![E,X0]: ('E'(f(X0),s(s(s(s('0'))))))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.09/0.40 fof(f22,plain,(
% 0.09/0.40 ![B]: 'E'(f(B),s(s(s(s(s('0'))))))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f5])).
% 0.09/0.40 fof(f23,plain,(
% 0.09/0.40 ![E,X0]: ('E'(f(X0),s(s(s(s(s('0')))))))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.09/0.40 fof(f26,plain,(
% 0.09/0.40 (((((![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'))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f7])).
% 0.09/0.40 fof(f27,plain,(
% 0.09/0.40 ![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'))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.09/0.40 fof(f30,plain,(
% 0.09/0.40 ((((![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')))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f9])).
% 0.09/0.40 fof(f31,plain,(
% 0.09/0.40 ![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')))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.09/0.40 fof(f32,plain,(
% 0.09/0.40 ![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')))))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f10])).
% 0.09/0.40 fof(f33,plain,(
% 0.09/0.40 ![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')))))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.09/0.40 fof(f36,plain,(
% 0.09/0.40 (((![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'))))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f12])).
% 0.09/0.40 fof(f37,plain,(
% 0.09/0.40 ![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'))))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f36])).
% 0.09/0.40 fof(f40,definition,(
% 0.09/0.40 ![E,X0]: (sQ0_spl <=> (~'E'(f(X0),s(s(s(s('0')))))))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f41,plain,(
% 0.09/0.40 ![E,X0]: (~'E'(f(X0),s(s(s(s('0')))))|~sQ0_spl)),
% 0.09/0.40 inference(component_clause,[status(thm)],[f40])).
% 0.09/0.40 fof(f43,definition,(
% 0.09/0.40 ![E,X1]: (sQ1_spl <=> (~'E'(f(X1),s(s(s(s(s('0'))))))))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f44,plain,(
% 0.09/0.40 ![E,X0]: (~'E'(f(X0),s(s(s(s(s('0'))))))|~sQ1_spl)),
% 0.09/0.40 inference(component_clause,[status(thm)],[f43])).
% 0.09/0.40 fof(f46,definition,(
% 0.09/0.40 ![E,X2]: (sQ2_spl <=> (~'E'(f(X2),s(s(s('0'))))))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f47,plain,(
% 0.09/0.40 ![E,X0]: (~'E'(f(X0),s(s(s('0'))))|~sQ2_spl)),
% 0.09/0.40 inference(component_clause,[status(thm)],[f46])).
% 0.09/0.40 fof(f53,definition,(
% 0.09/0.40 ![E,X3]: (sQ4_spl <=> (~'E'(f(X3),s(s('0')))))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f54,plain,(
% 0.09/0.40 ![E,X0]: (~'E'(f(X0),s(s('0')))|~sQ4_spl)),
% 0.09/0.40 inference(component_clause,[status(thm)],[f53])).
% 0.09/0.40 fof(f60,definition,(
% 0.09/0.40 ![E,X3]: (sQ6_spl <=> (~'E'(f(X3),s('0'))))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f61,plain,(
% 0.09/0.40 ![E,X0]: (~'E'(f(X0),s('0'))|~sQ6_spl)),
% 0.09/0.40 inference(component_clause,[status(thm)],[f60])).
% 0.09/0.40 fof(f63,definition,(
% 0.09/0.40 ![E,X4]: (sQ7_spl <=> (~'E'(f(X4),'0')))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f64,plain,(
% 0.09/0.40 ![E,X0]: (~'E'(f(X0),'0')|~sQ7_spl)),
% 0.09/0.40 inference(component_clause,[status(thm)],[f63])).
% 0.09/0.40 fof(f66,plain,(
% 0.09/0.40 sQ4_spl|sQ0_spl|sQ2_spl|sQ6_spl|sQ7_spl|sQ1_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f19,f53,f40,f46,f60,f63,f43])).
% 0.09/0.40 fof(f67,definition,(
% 0.09/0.40 ![E,AP,X5]: (sQ8_spl <=> ('E'(f('AP'(s(s(s(s(s(s('0')))))),X5)),'0')))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f68,plain,(
% 0.09/0.40 ![E,AP,X0]: ('E'(f('AP'(s(s(s(s(s(s('0')))))),X0)),'0')|~sQ8_spl)),
% 0.09/0.40 inference(component_clause,[status(thm)],[f67])).
% 0.09/0.40 fof(f70,plain,(
% 0.09/0.40 sQ4_spl|sQ0_spl|sQ2_spl|sQ6_spl|sQ1_spl|sQ8_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f27,f53,f40,f46,f60,f43,f67])).
% 0.09/0.40 fof(f71,definition,(
% 0.09/0.40 ![E,AP,X4]: (sQ9_spl <=> ('E'(f('AP'(s(s(s(s(s(s('0')))))),X4)),s('0'))))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f72,plain,(
% 0.09/0.40 ![E,AP,X0]: ('E'(f('AP'(s(s(s(s(s(s('0')))))),X0)),s('0'))|~sQ9_spl)),
% 0.09/0.40 inference(component_clause,[status(thm)],[f71])).
% 0.09/0.40 fof(f74,plain,(
% 0.09/0.40 sQ0_spl|sQ1_spl|sQ2_spl|sQ4_spl|sQ9_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f31,f40,f43,f46,f53,f71])).
% 0.09/0.40 fof(f75,definition,(
% 0.09/0.40 ![E,X1]: (sQ10_spl <=> (~'E'(f(X1),s(s(s(s(s('0'))))))|'E'(f(X1),s(s(s('0'))))))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f76,plain,(
% 0.09/0.40 ![E,X0]: (~'E'(f(X0),s(s(s(s(s('0'))))))|'E'(f(X0),s(s(s('0'))))|~sQ10_spl)),
% 0.09/0.40 inference(component_clause,[status(thm)],[f75])).
% 0.09/0.40 fof(f78,plain,(
% 0.09/0.40 sQ0_spl|sQ10_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f33,f40,f75])).
% 0.09/0.40 fof(f83,definition,(
% 0.09/0.40 ![E,AP,X3]: (sQ12_spl <=> ('E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s(s('0')))))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f84,plain,(
% 0.09/0.40 ![E,AP,X0]: ('E'(f('AP'(s(s(s(s(s(s('0')))))),X0)),s(s('0')))|~sQ12_spl)),
% 0.09/0.40 inference(component_clause,[status(thm)],[f83])).
% 0.09/0.40 fof(f86,plain,(
% 0.09/0.40 sQ0_spl|sQ1_spl|sQ2_spl|sQ12_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f37,f40,f43,f46,f83])).
% 0.09/0.40 fof(f91,plain,(
% 0.09/0.40 $false|~sQ0_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f41,f21])).
% 0.09/0.40 fof(f92,plain,(
% 0.09/0.40 ~sQ0_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f91])).
% 0.09/0.40 fof(f93,plain,(
% 0.09/0.40 $false|~sQ1_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f44,f23])).
% 0.09/0.40 fof(f94,plain,(
% 0.09/0.40 ~sQ1_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f93])).
% 0.09/0.40 fof(f95,plain,(
% 0.09/0.40 ![E,X0]: ('E'(f(X0),s(s(s('0'))))|~sQ10_spl)),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f76,f23])).
% 0.09/0.40 fof(f97,plain,(
% 0.09/0.40 $false|~sQ10_spl|~sQ2_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f47,f95])).
% 0.09/0.40 fof(f98,plain,(
% 0.09/0.40 ~sQ10_spl|~sQ2_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f97])).
% 0.09/0.40 fof(f99,plain,(
% 0.09/0.40 $false|~sQ4_spl|~sQ12_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f84,f54])).
% 0.09/0.40 fof(f100,plain,(
% 0.09/0.40 ~sQ4_spl|~sQ12_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f99])).
% 0.09/0.40 fof(f101,plain,(
% 0.09/0.40 $false|~sQ6_spl|~sQ9_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f72,f61])).
% 0.09/0.40 fof(f102,plain,(
% 0.09/0.40 ~sQ6_spl|~sQ9_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f101])).
% 0.09/0.40 fof(f103,plain,(
% 0.09/0.40 $false|~sQ7_spl|~sQ8_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f68,f64])).
% 0.09/0.40 fof(f104,plain,(
% 0.09/0.40 ~sQ7_spl|~sQ8_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f103])).
% 0.09/0.40 fof(f105,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(sat_refutation,[status(thm)],[f66,f70,f74,f78,f86,f92,f94,f98,f100,f102,f104])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.41 % Elapsed time: 0.032299 seconds
% 0.09/0.41 % CPU time: 0.081248 seconds
% 0.09/0.41 % Total memory used: 2.058 MB
% 0.09/0.41 % Net memory used: 2.004 MB
%------------------------------------------------------------------------------