%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PUZ054-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 02:01:44 PM UTC 2026
% Result : Satisfiable 0.12s 0.44s
% Output : Saturation 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_54ERROR: Could not build tree for root c_0_68ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_6,axiom,
ifeq(p(X1,s(s(X2))),true,p(X1,s(X2)),true) = true,
two_blacks_out_one_black_in,
[final] ).
cnf(c_0_7,axiom,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(s(s(n0)))))))))) = true,
initial_state,
[final] ).
cnf(c_0_8,axiom,
ifeq(X1,X1,X2,X3) = X2,
ifeq_axiom,
[final] ).
cnf(c_0_9,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(s(n0))))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),
[final] ).
cnf(c_0_10,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(n0)))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_9]),c_0_8]),
[final] ).
cnf(c_0_11,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(n0))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_10]),c_0_8]),
[final] ).
cnf(c_0_12,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(n0)))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_11]),c_0_8]),
[final] ).
cnf(c_0_13,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(n0))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_12]),c_0_8]),
[final] ).
cnf(c_0_14,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(n0)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_13]),c_0_8]),
[final] ).
cnf(c_0_15,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(n0))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_14]),c_0_8]),
[final] ).
cnf(c_0_16,axiom,
ifeq(p(s(s(X1)),X2),true,p(X1,s(X2)),true) = true,
two_whites_out_one_black_in,
[final] ).
cnf(c_0_17,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(n0)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_15]),c_0_8]),
[final] ).
cnf(c_0_18,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(n0))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_8]),
[final] ).
cnf(c_0_19,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(n0)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_18]),c_0_8]),
[final] ).
cnf(c_0_20,plain,
p(s(s(s(s(s(s(n0)))))),s(s(n0))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_19]),c_0_8]),
[final] ).
cnf(c_0_21,plain,
p(s(s(s(s(s(s(n0)))))),s(n0)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_20]),c_0_8]),
[final] ).
cnf(c_0_22,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(s(s(s(n0))))))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_7]),c_0_8]),
[final] ).
cnf(c_0_23,plain,
p(s(s(s(s(n0)))),s(s(n0))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_21]),c_0_8]),
[final] ).
cnf(c_0_24,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_22]),c_0_8]),
[final] ).
cnf(c_0_25,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(s(s(n0)))))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_9]),c_0_8]),
[final] ).
cnf(c_0_26,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(s(n0))))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_10]),c_0_8]),
[final] ).
cnf(c_0_27,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(n0)))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_11]),c_0_8]),
[final] ).
cnf(c_0_28,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(n0))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_12]),c_0_8]),
[final] ).
cnf(c_0_29,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(n0)))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_13]),c_0_8]),
[final] ).
cnf(c_0_30,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(n0))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_14]),c_0_8]),
[final] ).
cnf(c_0_31,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(n0)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_15]),c_0_8]),
[final] ).
cnf(c_0_32,plain,
p(s(s(s(s(n0)))),s(n0)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_23]),c_0_8]),
[final] ).
cnf(c_0_33,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_24]),c_0_8]),
[final] ).
cnf(c_0_34,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(s(n0))))))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_25]),c_0_8]),
[final] ).
cnf(c_0_35,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(n0)))))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_26]),c_0_8]),
[final] ).
cnf(c_0_36,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0))))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_27]),c_0_8]),
[final] ).
cnf(c_0_37,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(n0)))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_28]),c_0_8]),
[final] ).
cnf(c_0_38,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(n0))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_29]),c_0_8]),
[final] ).
cnf(c_0_39,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(n0)))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_30]),c_0_8]),
[final] ).
cnf(c_0_40,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(n0))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_31]),c_0_8]),
[final] ).
cnf(c_0_41,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(n0)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_18]),c_0_8]),
[final] ).
cnf(c_0_42,plain,
p(s(s(n0)),s(s(n0))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_32]),c_0_8]),
[final] ).
cnf(c_0_43,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_33]),c_0_8]),
[final] ).
cnf(c_0_44,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_34]),c_0_8]),
[final] ).
cnf(c_0_45,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(s(n0))))))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_35]),c_0_8]),
[final] ).
cnf(c_0_46,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(n0)))))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_36]),c_0_8]),
[final] ).
cnf(c_0_47,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0))))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_37]),c_0_8]),
[final] ).
cnf(c_0_48,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(n0)))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_38]),c_0_8]),
[final] ).
cnf(c_0_49,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(n0))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_39]),c_0_8]),
[final] ).
cnf(c_0_50,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(n0)))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_40]),c_0_8]),
[final] ).
cnf(c_0_51,plain,
p(s(s(s(s(n0)))),s(s(s(s(n0))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_41]),c_0_8]),
[final] ).
cnf(c_0_52,plain,
p(s(s(s(s(n0)))),s(s(s(n0)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_20]),c_0_8]),
[final] ).
cnf(c_0_53,plain,
p(s(s(n0)),s(n0)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_42]),c_0_8]),
[final] ).
cnf(c_0_55,plain,
p(n0,s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_43]),c_0_8]),
[final] ).
cnf(c_0_56,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_44]),c_0_8]),
[final] ).
cnf(c_0_57,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_45]),c_0_8]),
[final] ).
cnf(c_0_58,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(s(n0))))))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_46]),c_0_8]),
[final] ).
cnf(c_0_59,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(n0)))))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_47]),c_0_8]),
[final] ).
cnf(c_0_60,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(n0))))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_48]),c_0_8]),
[final] ).
cnf(c_0_61,plain,
p(s(s(n0)),s(s(s(s(s(s(s(n0)))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_49]),c_0_8]),
[final] ).
cnf(c_0_62,plain,
p(s(s(n0)),s(s(s(s(s(s(n0))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_50]),c_0_8]),
[final] ).
cnf(c_0_63,axiom,
ifeq(p(s(X1),s(X2)),true,p(s(X1),X2),true) = true,
two_different_balls_out_one_white_in,
[final] ).
cnf(c_0_64,plain,
p(s(s(n0)),s(s(s(s(s(n0)))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_51]),c_0_8]),
[final] ).
cnf(c_0_65,plain,
p(s(s(n0)),s(s(s(s(n0))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_52]),c_0_8]),
[final] ).
cnf(c_0_66,plain,
p(s(s(n0)),s(s(s(n0)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_23]),c_0_8]),
[final] ).
cnf(c_0_67,plain,
p(n0,s(s(n0))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_53]),c_0_8]),
[final] ).
cnf(c_0_68,negated_conjecture,
p(s(n0),n0) != true,
c_0_54,
[final] ).
cnf(c_0_69,plain,
ifeq(p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),true,true,true) = true,
inference(spm,[status(thm)],[c_0_6,c_0_22]),
[final] ).
cnf(c_0_70,plain,
ifeq(p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))),true,true,true) = true,
inference(spm,[status(thm)],[c_0_6,c_0_24]),
[final] ).
cnf(c_0_71,plain,
ifeq(p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))),true,true,true) = true,
inference(spm,[status(thm)],[c_0_6,c_0_33]),
[final] ).
cnf(c_0_72,plain,
ifeq(p(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),s(s(s(s(s(n0)))))),true,true,true) = true,
inference(spm,[status(thm)],[c_0_16,c_0_11]),
[final] ).
cnf(c_0_73,plain,
ifeq(p(s(s(n0)),s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))),true,true,true) = true,
inference(spm,[status(thm)],[c_0_6,c_0_43]),
[final] ).
cnf(c_0_74,plain,
ifeq(p(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),s(s(s(s(n0))))),true,true,true) = true,
inference(spm,[status(thm)],[c_0_16,c_0_12]),
[final] ).
cnf(c_0_75,plain,
ifeq(p(n0,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))),true,true,true) = true,
inference(spm,[status(thm)],[c_0_6,c_0_55]),
[final] ).
cnf(c_0_76,plain,
ifeq(p(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),s(s(s(s(s(s(n0))))))),true,true,true) = true,
inference(spm,[status(thm)],[c_0_16,c_0_10]),
[final] ).
cnf(c_0_77,plain,
ifeq(p(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),s(s(s(n0)))),true,true,true) = true,
inference(spm,[status(thm)],[c_0_16,c_0_13]),
[final] ).
cnf(c_0_78,plain,
ifeq(p(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),s(s(n0))),true,true,true) = true,
inference(spm,[status(thm)],[c_0_16,c_0_14]),
[final] ).
cnf(c_0_79,plain,
ifeq(p(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),s(s(s(s(s(s(s(n0)))))))),true,true,true) = true,
inference(spm,[status(thm)],[c_0_16,c_0_9]),
[final] ).
cnf(c_0_80,plain,
p(n0,s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_56]),c_0_8]),
[final] ).
cnf(c_0_81,plain,
ifeq(p(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),s(n0)),true,true,true) = true,
inference(spm,[status(thm)],[c_0_16,c_0_15]),
[final] ).
cnf(c_0_82,plain,
p(n0,s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_57]),c_0_8]),
[final] ).
cnf(c_0_83,plain,
ifeq(p(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),n0),true,true,true) = true,
inference(spm,[status(thm)],[c_0_16,c_0_17]),
[final] ).
cnf(c_0_84,plain,
p(n0,s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_58]),c_0_8]),
[final] ).
cnf(c_0_85,plain,
p(n0,s(s(s(s(s(s(s(s(s(s(n0))))))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_59]),c_0_8]),
[final] ).
cnf(c_0_86,plain,
p(n0,s(s(s(s(s(s(s(s(s(n0)))))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_60]),c_0_8]),
[final] ).
cnf(c_0_87,plain,
p(n0,s(s(s(s(s(s(s(s(n0))))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_61]),c_0_8]),
[final] ).
cnf(c_0_88,plain,
p(n0,s(s(s(s(s(s(s(n0)))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_62]),c_0_8]),
[final] ).
cnf(c_0_89,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),n0) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_17]),c_0_8]),
[final] ).
cnf(c_0_90,plain,
p(n0,s(s(s(s(s(s(n0))))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_64]),c_0_8]),
[final] ).
cnf(c_0_91,plain,
ifeq(p(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),s(s(s(s(s(s(s(s(n0))))))))),true,true,true) = true,
inference(spm,[status(thm)],[c_0_16,c_0_7]),
[final] ).
cnf(c_0_92,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),n0) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_19]),c_0_8]),
[final] ).
cnf(c_0_93,plain,
p(n0,s(s(s(s(s(n0)))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_65]),c_0_8]),
[final] ).
cnf(c_0_94,plain,
p(s(s(s(s(s(s(n0)))))),n0) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_21]),c_0_8]),
[final] ).
cnf(c_0_95,plain,
p(n0,s(s(s(s(n0))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_66]),c_0_8]),
[final] ).
cnf(c_0_96,plain,
p(s(s(s(s(n0)))),n0) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_32]),c_0_8]),
[final] ).
cnf(c_0_97,plain,
p(n0,s(s(s(n0)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_42]),c_0_8]),
[final] ).
cnf(c_0_98,plain,
p(s(s(n0)),n0) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_53]),c_0_8]),
[final] ).
cnf(c_0_99,plain,
p(n0,s(n0)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_67]),c_0_8]),
[final] ).
cnf(c_0_100,plain,
ifeq(p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(s(s(s(n0))))))))))),true,true,true) = true,
inference(spm,[status(thm)],[c_0_6,c_0_7]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ054-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n026.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 21 03:49:52 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.44 % Version: 3.5.1
% 0.12/0.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.12/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.12/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.44 % Starting sh5l with 300s (1) cores
% 0.12/0.44 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 1299135 completed with status 1
% 0.12/0.44 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.12/0.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.12/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.12/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.44 % No SInE strategy applied
% 0.12/0.44 % Search class: FUUPM-FFSF32-DFFFFFNN
% 0.12/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.12/0.44 % Starting G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with 136s (1) cores
% 0.12/0.44 % Starting new_bool_3 with 136s (1) cores
% 0.12/0.44 % Starting new_bool_1 with 136s (1) cores
% 0.12/0.44 % G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with pid 1299143 completed with status 1
% 0.12/0.44 % Result found by G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S
% 0.12/0.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.12/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.12/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.44 % No SInE strategy applied
% 0.12/0.44 % Search class: FUUPM-FFSF32-DFFFFFNN
% 0.12/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.12/0.44 % Starting G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with 136s (1) cores
% 0.12/0.44 % Preprocessing time : 0.001 s
% 0.12/0.44 % Presaturation interreduction done
% 0.12/0.44
% 0.12/0.44 % No proof found!
% 0.12/0.44 % SZS status Satisfiable
% 0.12/0.44 % SZS output start Saturation
% See solution above
% 0.12/0.44 % Parsed axioms : 6
% 0.12/0.44 % Removed by relevancy pruning/SinE : 0
% 0.12/0.44 % Initial clauses : 6
% 0.12/0.44 % Removed in clause preprocessing : 0
% 0.12/0.44 % Initial clauses in saturation : 6
% 0.12/0.44 % Processed clauses : 210
% 0.12/0.44 % ...of these trivial : 106
% 0.12/0.44 % ...subsumed : 0
% 0.12/0.44 % ...remaining for further processing : 104
% 0.12/0.44 % Other redundant clauses eliminated : 0
% 0.12/0.44 % Clauses deleted for lack of memory : 0
% 0.12/0.44 % Backward-subsumed : 0
% 0.12/0.44 % Backward-rewritten : 4
% 0.12/0.44 % Generated clauses : 376
% 0.12/0.44 % ...of the previous two non-redundant : 198
% 0.12/0.44 % ...aggressively subsumed : 0
% 0.12/0.44 % Contextual simplify-reflections : 0
% 0.12/0.44 % Paramodulations : 376
% 0.12/0.44 % Factorizations : 0
% 0.12/0.44 % NegExts : 0
% 0.12/0.44 % Equation resolutions : 0
% 0.12/0.44 % Disequality decompositions : 0
% 0.12/0.44 % Total rewrite steps : 644
% 0.12/0.44 % ...of those cached : 491
% 0.12/0.44 % Propositional unsat checks : 0
% 0.12/0.44 % Propositional check models : 0
% 0.12/0.44 % Propositional check unsatisfiable : 0
% 0.12/0.44 % Propositional clauses : 0
% 0.12/0.44 % Propositional clauses after purity: 0
% 0.12/0.44 % Propositional unsat core size : 0
% 0.12/0.44 % Propositional preprocessing time : 0.000
% 0.12/0.44 % Propositional encoding time : 0.000
% 0.12/0.44 % Propositional solver time : 0.000
% 0.12/0.44 % Success case prop preproc time : 0.000
% 0.12/0.44 % Success case prop encoding time : 0.000
% 0.12/0.44 % Success case prop solver time : 0.000
% 0.12/0.44 % Current number of processed clauses : 94
% 0.12/0.44 % Positive orientable unit clauses : 93
% 0.12/0.44 % Positive unorientable unit clauses: 0
% 0.12/0.44 % Negative unit clauses : 1
% 0.12/0.44 % Non-unit-clauses : 0
% 0.12/0.44 % Current number of unprocessed clauses: 0
% 0.12/0.44 % ...number of literals in the above : 0
% 0.12/0.44 % Current number of archived formulas : 0
% 0.12/0.44 % Current number of archived clauses : 10
% 0.12/0.44 % Clause-clause subsumption calls (NU) : 0
% 0.12/0.44 % Rec. Clause-clause subsumption calls : 0
% 0.12/0.44 % Non-unit clause-clause subsumptions : 0
% 0.12/0.44 % Unit Clause-clause subsumption calls : 0
% 0.12/0.44 % Rewrite failures with RHS unbound : 0
% 0.12/0.44 % BW rewrite match attempts : 1502
% 0.12/0.44 % BW rewrite match successes : 4
% 0.12/0.44 % Condensation attempts : 0
% 0.12/0.44 % Condensation successes : 0
% 0.12/0.44 % Termbank termtop insertions : 7832
% 0.12/0.44 % Search garbage collected termcells : 2
% 0.12/0.44
% 0.12/0.44 % -------------------------------------------------
% 0.12/0.44 % User time : 0.007 s
% 0.12/0.44 % System time : 0.002 s
% 0.12/0.44 % Total time : 0.009 s
% 0.12/0.44 % Maximum resident set size: 3604 pages
% 0.12/0.44
% 0.12/0.44 % -------------------------------------------------
% 0.12/0.44 % User time : 0.034 s
% 0.12/0.44 % System time : 0.013 s
% 0.12/0.44 % Total time : 0.047 s
% 0.12/0.44 % Maximum resident set size: 4864 pages
% 0.12/0.44 % E exiting
%------------------------------------------------------------------------------