%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYO630-1 : 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 : n019.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 03:44:40 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYO630-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.44 % Computer : n019.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Mon Sep 21 12:06:19 UTC 2026
% 0.16/0.45 % CPUTime :
% 0.16/0.46 % Drodi V4.1.1
% 0.16/0.48 % Refutation found
% 0.16/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.48 fof(f1,axiom,(
% 0.16/0.48 (![E,A,LE]: (( 'E'(s(s(s(s(s('0'))))),f(A))| 'LE'(f(A),s(s(s(s(s('0')))))) ) ))),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f2,axiom,(
% 0.16/0.48 (![A_2]: (iLEQ(A_2,g(A_2)) ))),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f4,axiom,(
% 0.16/0.48 (![A_14]: (iLEQ(A_14,A_14) ))),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f5,axiom,(
% 0.16/0.48 (![E,A_8]: (~ 'E'(f(A_8),f(g(A_8))) ))),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f6,axiom,(
% 0.16/0.48 (![LE,A_13,B_8,E]: (( ~ 'LE'(f(A_13),s('0'))| ~ iLEQ(A_13,B_8)| 'E'('0',f(B_8))| 'LE'(f(B_8),'0') ) ))),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f7,axiom,(
% 0.16/0.48 (![LE,A_15]: (~ 'LE'(f(A_15),'0') ))),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f10,axiom,(
% 0.16/0.48 (![E,A_2]: (( ~ 'E'(s(s(s(s(s('0'))))),f(A_2))| ~ 'E'(s(s(s(s(s('0'))))),f(g(A_2)))| 'E'(f(A_2),f(g(A_2))) ) ))),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f11,axiom,(
% 0.16/0.48 (![E,A_8]: (( ~ 'E'(s(s(s('0'))),f(A_8))| ~ 'E'(s(s(s('0'))),f(g(A_8)))| 'E'(f(A_8),f(g(A_8))) ) ))),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f12,axiom,(
% 0.16/0.48 (![E,A_11]: (( ~ 'E'(s(s('0')),f(A_11))| ~ 'E'(s(s('0')),f(g(A_11)))| 'E'(f(A_11),f(g(A_11))) ) ))),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f13,axiom,(
% 0.16/0.48 (![E,A_14]: (( ~ 'E'(s('0'),f(A_14))| ~ 'E'(s('0'),f(g(A_14)))| 'E'(f(A_14),f(g(A_14))) ) ))),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f15,axiom,(
% 0.16/0.48 (![LE,A_7,B_4,E]: (( ~ 'LE'(f(A_7),s(s(s('0'))))| ~ iLEQ(A_7,B_4)| 'E'(s(s('0')),f(B_4))| 'LE'(f(B_4),s(s('0'))) ) ))),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f16,axiom,(
% 0.16/0.48 (![LE,A_1,B_0,E]: (( ~ 'LE'(f(A_1),s(s(s(s(s('0'))))))| ~ iLEQ(A_1,B_0)| 'E'(s(s(s(s('0')))),f(B_0))| 'LE'(f(B_0),s(s(s(s('0'))))) ) ))),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f17,axiom,(
% 0.16/0.48 (![LE,A_4,B_2,E]: (( ~ 'LE'(f(A_4),s(s(s(s('0')))))| ~ iLEQ(A_4,B_2)| 'E'(s(s(s('0'))),f(B_2))| 'LE'(f(B_2),s(s(s('0')))) ) ))),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f24,axiom,(
% 0.16/0.48 (![E,A_15]: (( ~ 'E'('0',f(A_15))| ~ 'E'('0',f(g(A_15)))| 'E'(f(A_15),f(g(A_15))) ) ))),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f30,axiom,(
% 0.16/0.48 (![E,A_5]: (( ~ 'E'(s(s(s(s('0')))),f(A_5))| ~ 'E'(s(s(s(s('0')))),f(g(A_5)))| 'E'(f(A_5),f(g(A_5))) ) ))),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f32,axiom,(
% 0.16/0.48 (![LE,A_10,B_6,E]: (( ~ 'LE'(f(A_10),s(s('0')))| ~ iLEQ(A_10,B_6)| 'E'(s('0'),f(B_6))| 'LE'(f(B_6),s('0')) ) ))),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f33,plain,(
% 0.16/0.48 ![A]: ('E'(s(s(s(s(s('0'))))),f(A))|'LE'(f(A),s(s(s(s(s('0')))))))),
% 0.16/0.48 inference(miniscoping,[status(thm)],[f1])).
% 0.16/0.48 fof(f34,plain,(
% 0.16/0.48 ![E,X0,LE]: ('E'(s(s(s(s(s('0'))))),f(X0))|'LE'(f(X0),s(s(s(s(s('0')))))))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f33])).
% 0.16/0.48 fof(f35,plain,(
% 0.16/0.48 ![X0]: (iLEQ(X0,g(X0)))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.16/0.48 fof(f37,plain,(
% 0.16/0.48 ![X0]: (iLEQ(X0,X0))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f4])).
% 0.16/0.48 fof(f38,plain,(
% 0.16/0.48 ![A_8]: ~'E'(f(A_8),f(g(A_8)))),
% 0.16/0.48 inference(miniscoping,[status(thm)],[f5])).
% 0.16/0.48 fof(f39,plain,(
% 0.16/0.48 ![E,X0]: (~'E'(f(X0),f(g(X0))))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f38])).
% 0.16/0.48 fof(f40,plain,(
% 0.16/0.48 ![B_8]: (((![A_13]: (~'LE'(f(A_13),s('0'))|~iLEQ(A_13,B_8)))|'E'('0',f(B_8)))|'LE'(f(B_8),'0'))),
% 0.16/0.48 inference(miniscoping,[status(thm)],[f6])).
% 0.16/0.48 fof(f41,plain,(
% 0.16/0.48 ![LE,X0,X1,E]: (~'LE'(f(X0),s('0'))|~iLEQ(X0,X1)|'E'('0',f(X1))|'LE'(f(X1),'0'))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f40])).
% 0.16/0.48 fof(f42,plain,(
% 0.16/0.48 ![A_15]: ~'LE'(f(A_15),'0')),
% 0.16/0.48 inference(miniscoping,[status(thm)],[f7])).
% 0.16/0.48 fof(f43,plain,(
% 0.16/0.48 ![LE,X0]: (~'LE'(f(X0),'0'))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f42])).
% 0.16/0.48 fof(f47,plain,(
% 0.16/0.48 ![A_2]: ((~'E'(s(s(s(s(s('0'))))),f(A_2))|~'E'(s(s(s(s(s('0'))))),f(g(A_2))))|'E'(f(A_2),f(g(A_2))))),
% 0.16/0.48 inference(miniscoping,[status(thm)],[f10])).
% 0.16/0.48 fof(f48,plain,(
% 0.16/0.48 ![E,X0]: (~'E'(s(s(s(s(s('0'))))),f(X0))|~'E'(s(s(s(s(s('0'))))),f(g(X0)))|'E'(f(X0),f(g(X0))))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f47])).
% 0.16/0.48 fof(f49,plain,(
% 0.16/0.48 ![A_8]: ((~'E'(s(s(s('0'))),f(A_8))|~'E'(s(s(s('0'))),f(g(A_8))))|'E'(f(A_8),f(g(A_8))))),
% 0.16/0.48 inference(miniscoping,[status(thm)],[f11])).
% 0.16/0.48 fof(f50,plain,(
% 0.16/0.48 ![E,X0]: (~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(g(X0)))|'E'(f(X0),f(g(X0))))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f49])).
% 0.16/0.48 fof(f51,plain,(
% 0.16/0.48 ![A_11]: ((~'E'(s(s('0')),f(A_11))|~'E'(s(s('0')),f(g(A_11))))|'E'(f(A_11),f(g(A_11))))),
% 0.16/0.48 inference(miniscoping,[status(thm)],[f12])).
% 0.16/0.48 fof(f52,plain,(
% 0.16/0.48 ![E,X0]: (~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(g(X0)))|'E'(f(X0),f(g(X0))))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f51])).
% 0.16/0.48 fof(f53,plain,(
% 0.16/0.48 ![A_14]: ((~'E'(s('0'),f(A_14))|~'E'(s('0'),f(g(A_14))))|'E'(f(A_14),f(g(A_14))))),
% 0.16/0.48 inference(miniscoping,[status(thm)],[f13])).
% 0.16/0.48 fof(f54,plain,(
% 0.16/0.48 ![E,X0]: (~'E'(s('0'),f(X0))|~'E'(s('0'),f(g(X0)))|'E'(f(X0),f(g(X0))))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f53])).
% 0.16/0.48 fof(f57,plain,(
% 0.16/0.48 ![B_4]: (((![A_7]: (~'LE'(f(A_7),s(s(s('0'))))|~iLEQ(A_7,B_4)))|'E'(s(s('0')),f(B_4)))|'LE'(f(B_4),s(s('0'))))),
% 0.16/0.48 inference(miniscoping,[status(thm)],[f15])).
% 0.16/0.48 fof(f58,plain,(
% 0.16/0.48 ![LE,X0,X1,E]: (~'LE'(f(X0),s(s(s('0'))))|~iLEQ(X0,X1)|'E'(s(s('0')),f(X1))|'LE'(f(X1),s(s('0'))))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f57])).
% 0.16/0.48 fof(f59,plain,(
% 0.16/0.48 ![B_0]: (((![A_1]: (~'LE'(f(A_1),s(s(s(s(s('0'))))))|~iLEQ(A_1,B_0)))|'E'(s(s(s(s('0')))),f(B_0)))|'LE'(f(B_0),s(s(s(s('0'))))))),
% 0.16/0.48 inference(miniscoping,[status(thm)],[f16])).
% 0.16/0.48 fof(f60,plain,(
% 0.16/0.48 ![LE,X0,X1,E]: (~'LE'(f(X0),s(s(s(s(s('0'))))))|~iLEQ(X0,X1)|'E'(s(s(s(s('0')))),f(X1))|'LE'(f(X1),s(s(s(s('0'))))))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f59])).
% 0.16/0.48 fof(f61,plain,(
% 0.16/0.48 ![B_2]: (((![A_4]: (~'LE'(f(A_4),s(s(s(s('0')))))|~iLEQ(A_4,B_2)))|'E'(s(s(s('0'))),f(B_2)))|'LE'(f(B_2),s(s(s('0')))))),
% 0.16/0.48 inference(miniscoping,[status(thm)],[f17])).
% 0.16/0.48 fof(f62,plain,(
% 0.16/0.48 ![LE,X0,X1,E]: (~'LE'(f(X0),s(s(s(s('0')))))|~iLEQ(X0,X1)|'E'(s(s(s('0'))),f(X1))|'LE'(f(X1),s(s(s('0')))))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f61])).
% 0.16/0.48 fof(f70,plain,(
% 0.16/0.48 ![A_15]: ((~'E'('0',f(A_15))|~'E'('0',f(g(A_15))))|'E'(f(A_15),f(g(A_15))))),
% 0.16/0.48 inference(miniscoping,[status(thm)],[f24])).
% 0.16/0.48 fof(f71,plain,(
% 0.16/0.48 ![E,X0]: (~'E'('0',f(X0))|~'E'('0',f(g(X0)))|'E'(f(X0),f(g(X0))))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f70])).
% 0.16/0.48 fof(f79,plain,(
% 0.16/0.48 ![A_5]: ((~'E'(s(s(s(s('0')))),f(A_5))|~'E'(s(s(s(s('0')))),f(g(A_5))))|'E'(f(A_5),f(g(A_5))))),
% 0.16/0.48 inference(miniscoping,[status(thm)],[f30])).
% 0.16/0.48 fof(f80,plain,(
% 0.16/0.48 ![E,X0]: (~'E'(s(s(s(s('0')))),f(X0))|~'E'(s(s(s(s('0')))),f(g(X0)))|'E'(f(X0),f(g(X0))))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f79])).
% 0.16/0.48 fof(f83,plain,(
% 0.16/0.48 ![B_6]: (((![A_10]: (~'LE'(f(A_10),s(s('0')))|~iLEQ(A_10,B_6)))|'E'(s('0'),f(B_6)))|'LE'(f(B_6),s('0')))),
% 0.16/0.48 inference(miniscoping,[status(thm)],[f32])).
% 0.16/0.48 fof(f84,plain,(
% 0.16/0.48 ![LE,X0,X1,E]: (~'LE'(f(X0),s(s('0')))|~iLEQ(X0,X1)|'E'(s('0'),f(X1))|'LE'(f(X1),s('0')))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f83])).
% 0.16/0.48 fof(f85,plain,(
% 0.16/0.48 ![LE,X0,X1,E]: (~'LE'(f(X0),s('0'))|~iLEQ(X0,X1)|'E'('0',f(X1)))),
% 0.16/0.48 inference(backward_subsumption_resolution,[status(thm)],[f41,f43])).
% 0.16/0.48 fof(f86,plain,(
% 0.16/0.48 ![E,X0]: (~'E'(s(s(s(s(s('0'))))),f(X0))|~'E'(s(s(s(s(s('0'))))),f(g(X0))))),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f48,f39])).
% 0.16/0.48 fof(f87,plain,(
% 0.16/0.48 ![E,X0]: (~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(g(X0))))),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f50,f39])).
% 0.16/0.48 fof(f88,plain,(
% 0.16/0.48 ![E,X0]: (~'E'('0',f(X0))|~'E'('0',f(g(X0))))),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f71,f39])).
% 0.16/0.48 fof(f89,plain,(
% 0.16/0.48 ![E,X0]: (~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(g(X0))))),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f52,f39])).
% 0.16/0.48 fof(f90,plain,(
% 0.16/0.48 ![E,X0]: (~'E'(s('0'),f(X0))|~'E'(s('0'),f(g(X0))))),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f54,f39])).
% 0.16/0.48 fof(f91,plain,(
% 0.16/0.48 ![E,X0]: (~'E'(s(s(s(s('0')))),f(X0))|~'E'(s(s(s(s('0')))),f(g(X0))))),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f80,f39])).
% 0.16/0.48 fof(f92,plain,(
% 0.16/0.48 ![X0,X1,E,LE]: (~iLEQ(X0,X1)|'E'(s(s(s(s('0')))),f(X1))|'LE'(f(X1),s(s(s(s('0')))))|'E'(s(s(s(s(s('0'))))),f(X0)))),
% 0.16/0.48 inference(resolution,[status(thm)],[f60,f34])).
% 0.16/0.48 fof(f93,plain,(
% 0.16/0.48 ![E,X0,LE]: ('E'(s(s(s(s('0')))),f(g(X0)))|'LE'(f(g(X0)),s(s(s(s('0')))))|'E'(s(s(s(s(s('0'))))),f(X0)))),
% 0.16/0.48 inference(resolution,[status(thm)],[f92,f35])).
% 0.16/0.48 fof(f94,plain,(
% 0.16/0.48 ![E,X0,LE]: ('E'(s(s(s(s('0')))),f(X0))|'LE'(f(X0),s(s(s(s('0')))))|'E'(s(s(s(s(s('0'))))),f(X0)))),
% 0.16/0.48 inference(resolution,[status(thm)],[f92,f37])).
% 0.16/0.48 fof(f95,plain,(
% 0.16/0.48 ![E,X0,LE]: ('E'(s(s(s(s('0')))),f(g(X0)))|'LE'(f(g(X0)),s(s(s(s('0')))))|~'E'(s(s(s(s(s('0'))))),f(X0)))),
% 0.16/0.48 inference(resolution,[status(thm)],[f94,f86])).
% 0.16/0.48 fof(f97,plain,(
% 0.16/0.48 ![E,X0,LE]: ('E'(s(s(s(s('0')))),f(g(X0)))|'LE'(f(g(X0)),s(s(s(s('0'))))))),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f95,f93])).
% 0.16/0.48 fof(f98,plain,(
% 0.16/0.48 ![E,X0,X1,LE]: ('E'(s(s(s(s('0')))),f(g(X0)))|~iLEQ(g(X0),X1)|'E'(s(s(s('0'))),f(X1))|'LE'(f(X1),s(s(s('0')))))),
% 0.16/0.48 inference(resolution,[status(thm)],[f97,f62])).
% 0.16/0.48 fof(f99,plain,(
% 0.16/0.48 ![E,X0,LE]: ('E'(s(s(s(s('0')))),f(g(X0)))|'E'(s(s(s('0'))),f(g(g(X0))))|'LE'(f(g(g(X0))),s(s(s('0')))))),
% 0.16/0.48 inference(resolution,[status(thm)],[f98,f35])).
% 0.16/0.48 fof(f100,plain,(
% 0.16/0.48 ![E,X0,LE]: ('E'(s(s(s(s('0')))),f(g(X0)))|'E'(s(s(s('0'))),f(g(X0)))|'LE'(f(g(X0)),s(s(s('0')))))),
% 0.16/0.48 inference(resolution,[status(thm)],[f98,f37])).
% 0.16/0.48 fof(f101,plain,(
% 0.16/0.48 ![E,X0,LE]: ('E'(s(s(s('0'))),f(g(X0)))|'LE'(f(g(X0)),s(s(s('0'))))|~'E'(s(s(s(s('0')))),f(X0)))),
% 0.16/0.48 inference(resolution,[status(thm)],[f100,f91])).
% 0.16/0.48 fof(f103,plain,(
% 0.16/0.48 ![E,X0,LE]: ('E'(s(s(s('0'))),f(g(g(X0))))|'LE'(f(g(g(X0))),s(s(s('0')))))),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f99,f101])).
% 0.16/0.48 fof(f104,plain,(
% 0.16/0.48 ![E,X0,X1,LE]: ('E'(s(s(s('0'))),f(g(g(X0))))|~iLEQ(g(g(X0)),X1)|'E'(s(s('0')),f(X1))|'LE'(f(X1),s(s('0'))))),
% 0.16/0.48 inference(resolution,[status(thm)],[f103,f58])).
% 0.16/0.48 fof(f105,plain,(
% 0.16/0.48 ![E,X0,LE]: ('E'(s(s(s('0'))),f(g(g(X0))))|'E'(s(s('0')),f(g(g(g(X0)))))|'LE'(f(g(g(g(X0)))),s(s('0'))))),
% 0.16/0.48 inference(resolution,[status(thm)],[f104,f35])).
% 0.16/0.48 fof(f106,plain,(
% 0.16/0.48 ![E,X0,LE]: ('E'(s(s(s('0'))),f(g(g(X0))))|'E'(s(s('0')),f(g(g(X0))))|'LE'(f(g(g(X0))),s(s('0'))))),
% 0.16/0.48 inference(resolution,[status(thm)],[f104,f37])).
% 0.16/0.48 fof(f107,plain,(
% 0.16/0.48 ![E,X0,LE]: ('E'(s(s('0')),f(g(g(X0))))|'LE'(f(g(g(X0))),s(s('0')))|~'E'(s(s(s('0'))),f(g(X0))))),
% 0.16/0.48 inference(resolution,[status(thm)],[f106,f87])).
% 0.16/0.48 fof(f109,plain,(
% 0.16/0.48 ![E,X0,LE]: ('E'(s(s('0')),f(g(g(g(X0)))))|'LE'(f(g(g(g(X0)))),s(s('0'))))),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f105,f107])).
% 0.16/0.48 fof(f110,plain,(
% 0.16/0.48 ![E,X0,X1,LE]: ('E'(s(s('0')),f(g(g(g(X0)))))|~iLEQ(g(g(g(X0))),X1)|'E'(s('0'),f(X1))|'LE'(f(X1),s('0')))),
% 0.16/0.48 inference(resolution,[status(thm)],[f109,f84])).
% 0.16/0.48 fof(f111,plain,(
% 0.16/0.48 ![E,X0,LE]: ('E'(s(s('0')),f(g(g(g(X0)))))|'E'(s('0'),f(g(g(g(g(X0))))))|'LE'(f(g(g(g(g(X0))))),s('0')))),
% 0.16/0.48 inference(resolution,[status(thm)],[f110,f35])).
% 0.16/0.48 fof(f112,plain,(
% 0.16/0.48 ![E,X0,LE]: ('E'(s(s('0')),f(g(g(g(X0)))))|'E'(s('0'),f(g(g(g(X0)))))|'LE'(f(g(g(g(X0)))),s('0')))),
% 0.16/0.48 inference(resolution,[status(thm)],[f110,f37])).
% 0.16/0.48 fof(f113,plain,(
% 0.16/0.48 ![E,X0,LE]: ('E'(s('0'),f(g(g(g(X0)))))|'LE'(f(g(g(g(X0)))),s('0'))|~'E'(s(s('0')),f(g(g(X0)))))),
% 0.16/0.48 inference(resolution,[status(thm)],[f112,f89])).
% 0.16/0.48 fof(f115,plain,(
% 0.16/0.48 ![E,X0,LE]: ('E'(s('0'),f(g(g(g(g(X0))))))|'LE'(f(g(g(g(g(X0))))),s('0')))),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f111,f113])).
% 0.16/0.48 fof(f116,plain,(
% 0.16/0.48 ![E,X0,X1]: ('E'(s('0'),f(g(g(g(g(X0))))))|~iLEQ(g(g(g(g(X0)))),X1)|'E'('0',f(X1)))),
% 0.16/0.48 inference(resolution,[status(thm)],[f115,f85])).
% 0.16/0.48 fof(f117,plain,(
% 0.16/0.48 ![E,X0]: ('E'(s('0'),f(g(g(g(g(X0))))))|'E'('0',f(g(g(g(g(g(X0))))))))),
% 0.16/0.48 inference(resolution,[status(thm)],[f116,f35])).
% 0.16/0.48 fof(f118,plain,(
% 0.16/0.48 ![E,X0]: ('E'(s('0'),f(g(g(g(g(X0))))))|'E'('0',f(g(g(g(g(X0)))))))),
% 0.16/0.48 inference(resolution,[status(thm)],[f116,f37])).
% 0.16/0.49 fof(f119,plain,(
% 0.16/0.49 ![E,X0]: ('E'('0',f(g(g(g(g(X0))))))|~'E'(s('0'),f(g(g(g(X0))))))),
% 0.16/0.49 inference(resolution,[status(thm)],[f118,f90])).
% 0.16/0.49 fof(f121,plain,(
% 0.16/0.49 ![E,X0]: ('E'('0',f(g(g(g(g(g(X0))))))))),
% 0.16/0.49 inference(forward_subsumption_resolution,[status(thm)],[f117,f119])).
% 0.16/0.49 fof(f122,plain,(
% 0.16/0.49 ![E,X0]: (~'E'('0',f(g(g(g(g(X0)))))))),
% 0.16/0.49 inference(resolution,[status(thm)],[f121,f88])).
% 0.16/0.49 fof(f126,plain,(
% 0.16/0.49 $false),
% 0.16/0.49 inference(backward_subsumption_resolution,[status(thm)],[f121,f122])).
% 0.16/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.51 % Elapsed time: 0.054916 seconds
% 0.16/0.51 % CPU time: 0.132827 seconds
% 0.16/0.51 % Total memory used: 3.421 MB
% 0.16/0.51 % Net memory used: 3.216 MB
%------------------------------------------------------------------------------