%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ054-1 : TPTP v9.2.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n008.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 May 5 05:02:48 PM UTC 2026
% Result : Satisfiable 1.26s 1.71s
% Output : Saturation 1.26s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(two_different_balls_out_one_white_in,axiom,
( p(s(X1),X2)
| ~ p(s(X1),s(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',two_different_balls_out_one_white_in) ).
cnf(initial_state,axiom,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(s(s(n0)))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state) ).
cnf(two_blacks_out_one_black_in,axiom,
( p(X1,s(X2))
| ~ p(X1,s(s(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',two_blacks_out_one_black_in) ).
cnf(two_whites_out_one_black_in,axiom,
( p(X1,s(X2))
| ~ p(s(s(X1)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',two_whites_out_one_black_in) ).
cnf(goal_state,negated_conjecture,
~ p(s(n0),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_state) ).
cnf(c_0_5,axiom,
( p(s(X1),X2)
| ~ p(s(X1),s(X2)) ),
two_different_balls_out_one_white_in,
[final] ).
cnf(c_0_6,axiom,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(s(s(n0)))))))))),
initial_state,
[final] ).
cnf(c_0_7,axiom,
( p(X1,s(X2))
| ~ p(X1,s(s(X2))) ),
two_blacks_out_one_black_in,
[final] ).
cnf(c_0_8,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(s(n0))))))))),
inference(spm,[status(thm)],[c_0_5,c_0_6]),
[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(n0)))))))),
inference(spm,[status(thm)],[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(n0))))))),
inference(spm,[status(thm)],[c_0_7,c_0_9]),
[final] ).
cnf(c_0_11,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(n0)))))),
inference(spm,[status(thm)],[c_0_7,c_0_10]),
[final] ).
cnf(c_0_12,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(n0))))),
inference(spm,[status(thm)],[c_0_7,c_0_11]),
[final] ).
cnf(c_0_13,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(n0)))),
inference(spm,[status(thm)],[c_0_7,c_0_12]),
[final] ).
cnf(c_0_14,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(n0))),
inference(spm,[status(thm)],[c_0_7,c_0_13]),
[final] ).
cnf(c_0_15,axiom,
( p(X1,s(X2))
| ~ p(s(s(X1)),X2) ),
two_whites_out_one_black_in,
[final] ).
cnf(c_0_16,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(n0)),
inference(spm,[status(thm)],[c_0_7,c_0_14]),
[final] ).
cnf(c_0_17,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(n0))),
inference(spm,[status(thm)],[c_0_15,c_0_16]),
[final] ).
cnf(c_0_18,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(n0)),
inference(spm,[status(thm)],[c_0_7,c_0_17]),
[final] ).
cnf(c_0_19,plain,
p(s(s(s(s(s(s(n0)))))),s(s(n0))),
inference(spm,[status(thm)],[c_0_15,c_0_18]),
[final] ).
cnf(c_0_20,plain,
p(s(s(s(s(s(s(n0)))))),s(n0)),
inference(spm,[status(thm)],[c_0_7,c_0_19]),
[final] ).
cnf(c_0_21,plain,
p(s(s(s(s(n0)))),s(s(n0))),
inference(spm,[status(thm)],[c_0_15,c_0_20]),
[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))))))))))),
inference(spm,[status(thm)],[c_0_15,c_0_6]),
[final] ).
cnf(c_0_23,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(s(s(n0)))))))))),
inference(spm,[status(thm)],[c_0_15,c_0_8]),
[final] ).
cnf(c_0_24,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(s(n0))))))))),
inference(spm,[status(thm)],[c_0_15,c_0_9]),
[final] ).
cnf(c_0_25,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(n0)))))))),
inference(spm,[status(thm)],[c_0_15,c_0_10]),
[final] ).
cnf(c_0_26,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(n0))))))),
inference(spm,[status(thm)],[c_0_15,c_0_11]),
[final] ).
cnf(c_0_27,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(n0)))))),
inference(spm,[status(thm)],[c_0_15,c_0_12]),
[final] ).
cnf(c_0_28,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(n0))))),
inference(spm,[status(thm)],[c_0_15,c_0_13]),
[final] ).
cnf(c_0_29,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(n0)))),
inference(spm,[status(thm)],[c_0_15,c_0_14]),
[final] ).
cnf(c_0_30,plain,
p(s(s(s(s(n0)))),s(n0)),
inference(spm,[status(thm)],[c_0_7,c_0_21]),
[final] ).
cnf(c_0_31,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),
inference(spm,[status(thm)],[c_0_15,c_0_22]),
[final] ).
cnf(c_0_32,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(s(n0))))))))))),
inference(spm,[status(thm)],[c_0_15,c_0_23]),
[final] ).
cnf(c_0_33,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(n0)))))))))),
inference(spm,[status(thm)],[c_0_15,c_0_24]),
[final] ).
cnf(c_0_34,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0))))))))),
inference(spm,[status(thm)],[c_0_15,c_0_25]),
[final] ).
cnf(c_0_35,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(n0)))))))),
inference(spm,[status(thm)],[c_0_15,c_0_26]),
[final] ).
cnf(c_0_36,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(n0))))))),
inference(spm,[status(thm)],[c_0_15,c_0_27]),
[final] ).
cnf(c_0_37,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(n0)))))),
inference(spm,[status(thm)],[c_0_15,c_0_28]),
[final] ).
cnf(c_0_38,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(n0))))),
inference(spm,[status(thm)],[c_0_15,c_0_29]),
[final] ).
cnf(c_0_39,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(n0)))),
inference(spm,[status(thm)],[c_0_15,c_0_17]),
[final] ).
cnf(c_0_40,plain,
p(s(s(n0)),s(s(n0))),
inference(spm,[status(thm)],[c_0_15,c_0_30]),
[final] ).
cnf(c_0_41,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))),
inference(spm,[status(thm)],[c_0_15,c_0_31]),
[final] ).
cnf(c_0_42,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),
inference(spm,[status(thm)],[c_0_15,c_0_32]),
[final] ).
cnf(c_0_43,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(s(n0))))))))))),
inference(spm,[status(thm)],[c_0_15,c_0_33]),
[final] ).
cnf(c_0_44,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(n0)))))))))),
inference(spm,[status(thm)],[c_0_15,c_0_34]),
[final] ).
cnf(c_0_45,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0))))))))),
inference(spm,[status(thm)],[c_0_15,c_0_35]),
[final] ).
cnf(c_0_46,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(n0)))))))),
inference(spm,[status(thm)],[c_0_15,c_0_36]),
[final] ).
cnf(c_0_47,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(n0))))))),
inference(spm,[status(thm)],[c_0_15,c_0_37]),
[final] ).
cnf(c_0_48,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(n0)))))),
inference(spm,[status(thm)],[c_0_15,c_0_38]),
[final] ).
cnf(c_0_49,plain,
p(s(s(s(s(n0)))),s(s(s(s(n0))))),
inference(spm,[status(thm)],[c_0_15,c_0_39]),
[final] ).
cnf(c_0_50,plain,
p(s(s(s(s(n0)))),s(s(s(n0)))),
inference(spm,[status(thm)],[c_0_15,c_0_19]),
[final] ).
cnf(c_0_51,plain,
p(s(s(n0)),s(n0)),
inference(spm,[status(thm)],[c_0_7,c_0_40]),
[final] ).
cnf(c_0_52,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))),
inference(spm,[status(thm)],[c_0_15,c_0_41]),
[final] ).
cnf(c_0_53,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))),
inference(spm,[status(thm)],[c_0_15,c_0_42]),
[final] ).
cnf(c_0_54,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),
inference(spm,[status(thm)],[c_0_15,c_0_43]),
[final] ).
cnf(c_0_55,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(s(n0))))))))))),
inference(spm,[status(thm)],[c_0_15,c_0_44]),
[final] ).
cnf(c_0_56,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(n0)))))))))),
inference(spm,[status(thm)],[c_0_15,c_0_45]),
[final] ).
cnf(c_0_57,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(n0))))))))),
inference(spm,[status(thm)],[c_0_15,c_0_46]),
[final] ).
cnf(c_0_58,plain,
p(s(s(n0)),s(s(s(s(s(s(s(n0)))))))),
inference(spm,[status(thm)],[c_0_15,c_0_47]),
[final] ).
cnf(c_0_59,plain,
p(s(s(n0)),s(s(s(s(s(s(n0))))))),
inference(spm,[status(thm)],[c_0_15,c_0_48]),
[final] ).
cnf(c_0_60,plain,
p(s(s(n0)),s(s(s(s(s(n0)))))),
inference(spm,[status(thm)],[c_0_15,c_0_49]),
[final] ).
cnf(c_0_61,plain,
p(s(s(n0)),s(s(s(s(n0))))),
inference(spm,[status(thm)],[c_0_15,c_0_50]),
[final] ).
cnf(c_0_62,plain,
p(s(s(n0)),s(s(s(n0)))),
inference(spm,[status(thm)],[c_0_15,c_0_21]),
[final] ).
cnf(c_0_63,plain,
p(n0,s(s(n0))),
inference(spm,[status(thm)],[c_0_15,c_0_51]),
[final] ).
cnf(c_0_64,negated_conjecture,
~ p(s(n0),n0),
goal_state,
[final] ).
cnf(c_0_65,plain,
p(n0,s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))),
inference(spm,[status(thm)],[c_0_15,c_0_52]),
[final] ).
cnf(c_0_66,plain,
p(n0,s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))),
inference(spm,[status(thm)],[c_0_15,c_0_53]),
[final] ).
cnf(c_0_67,plain,
p(n0,s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))),
inference(spm,[status(thm)],[c_0_15,c_0_54]),
[final] ).
cnf(c_0_68,plain,
p(n0,s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),
inference(spm,[status(thm)],[c_0_15,c_0_55]),
[final] ).
cnf(c_0_69,plain,
p(n0,s(s(s(s(s(s(s(s(s(s(n0))))))))))),
inference(spm,[status(thm)],[c_0_15,c_0_56]),
[final] ).
cnf(c_0_70,plain,
p(n0,s(s(s(s(s(s(s(s(s(n0)))))))))),
inference(spm,[status(thm)],[c_0_15,c_0_57]),
[final] ).
cnf(c_0_71,plain,
p(n0,s(s(s(s(s(s(s(s(n0))))))))),
inference(spm,[status(thm)],[c_0_15,c_0_58]),
[final] ).
cnf(c_0_72,plain,
p(n0,s(s(s(s(s(s(s(n0)))))))),
inference(spm,[status(thm)],[c_0_15,c_0_59]),
[final] ).
cnf(c_0_73,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),n0),
inference(spm,[status(thm)],[c_0_5,c_0_16]),
[final] ).
cnf(c_0_74,plain,
p(n0,s(s(s(s(s(s(n0))))))),
inference(spm,[status(thm)],[c_0_15,c_0_60]),
[final] ).
cnf(c_0_75,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),n0),
inference(spm,[status(thm)],[c_0_5,c_0_18]),
[final] ).
cnf(c_0_76,plain,
p(n0,s(s(s(s(s(n0)))))),
inference(spm,[status(thm)],[c_0_15,c_0_61]),
[final] ).
cnf(c_0_77,plain,
p(s(s(s(s(s(s(n0)))))),n0),
inference(spm,[status(thm)],[c_0_5,c_0_20]),
[final] ).
cnf(c_0_78,plain,
p(n0,s(s(s(s(n0))))),
inference(spm,[status(thm)],[c_0_15,c_0_62]),
[final] ).
cnf(c_0_79,plain,
p(s(s(s(s(n0)))),n0),
inference(spm,[status(thm)],[c_0_5,c_0_30]),
[final] ).
cnf(c_0_80,plain,
p(n0,s(s(s(n0)))),
inference(spm,[status(thm)],[c_0_15,c_0_40]),
[final] ).
cnf(c_0_81,plain,
p(s(s(n0)),n0),
inference(spm,[status(thm)],[c_0_5,c_0_51]),
[final] ).
cnf(c_0_82,plain,
p(n0,s(n0)),
inference(spm,[status(thm)],[c_0_7,c_0_63]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : PUZ054-1 : TPTP v9.2.1. Released v2.7.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n008.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 01:35:43 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.26/1.71 % Version : CSE_E---1.7
% 1.26/1.71 % Problem : theBenchmark.p
% 1.26/1.71 % SZS status Satisfiable for theBenchmark.p
% 1.26/1.71 % SZS output start Saturation
% See solution above
% 1.26/1.71 % Total time : 1.369s
%------------------------------------------------------------------------------