TSTP Solution File: PUZ054-1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : PUZ054-1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n017.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 : 600s
% DateTime : Mon Jul 18 18:24:16 EDT 2022
% Result : Satisfiable 0.61s 0.84s
% Output : Saturation 0.61s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(two_different_balls_out_one_white_in,axiom,
( p(s(X6),X7)
| ~ p(s(X6),s(X7)) ),
input ).
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)))))))))),
input ).
cnf(c1,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(s(n0))))))))),
inference(resolution,status(thm),[initial_state,two_different_balls_out_one_white_in]) ).
cnf(c18,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(n0)))))))),
inference(resolution,status(thm),[c1,two_different_balls_out_one_white_in]) ).
cnf(c77,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(n0))))))),
inference(resolution,status(thm),[c18,two_different_balls_out_one_white_in]) ).
cnf(c134,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(n0)))))),
inference(resolution,status(thm),[c77,two_different_balls_out_one_white_in]) ).
cnf(c161,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(n0))))),
inference(resolution,status(thm),[c134,two_different_balls_out_one_white_in]) ).
cnf(c167,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(n0)))),
inference(resolution,status(thm),[c161,two_different_balls_out_one_white_in]) ).
cnf(c170,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(n0))),
inference(resolution,status(thm),[c167,two_different_balls_out_one_white_in]) ).
cnf(c173,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(n0)),
inference(resolution,status(thm),[c170,two_different_balls_out_one_white_in]) ).
cnf(c176,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),n0),
inference(resolution,status(thm),[c173,two_different_balls_out_one_white_in]) ).
cnf(two_whites_out_one_black_in,axiom,
( p(X2,s(X3))
| ~ p(s(s(X2)),X3) ),
input ).
cnf(c0,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(s(s(s(n0))))))))))),
inference(resolution,status(thm),[initial_state,two_whites_out_one_black_in]) ).
cnf(c4,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(s(s(n0)))))))))),
inference(resolution,status(thm),[c0,two_different_balls_out_one_white_in]) ).
cnf(c31,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(s(n0))))))))),
inference(resolution,status(thm),[c4,two_different_balls_out_one_white_in]) ).
cnf(c104,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(n0)))))))),
inference(resolution,status(thm),[c31,two_different_balls_out_one_white_in]) ).
cnf(c143,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(n0))))))),
inference(resolution,status(thm),[c104,two_different_balls_out_one_white_in]) ).
cnf(c146,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(n0)))))),
inference(resolution,status(thm),[c143,two_different_balls_out_one_white_in]) ).
cnf(c149,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(n0))))),
inference(resolution,status(thm),[c146,two_different_balls_out_one_white_in]) ).
cnf(c152,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(n0)))),
inference(resolution,status(thm),[c149,two_different_balls_out_one_white_in]) ).
cnf(c155,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(n0))),
inference(resolution,status(thm),[c152,two_different_balls_out_one_white_in]) ).
cnf(c158,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(n0)),
inference(resolution,status(thm),[c155,two_different_balls_out_one_white_in]) ).
cnf(c164,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),n0),
inference(resolution,status(thm),[c158,two_different_balls_out_one_white_in]) ).
cnf(c3,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),
inference(resolution,status(thm),[c0,two_whites_out_one_black_in]) ).
cnf(c7,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(s(n0))))))))))),
inference(resolution,status(thm),[c3,two_different_balls_out_one_white_in]) ).
cnf(c47,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(n0)))))))))),
inference(resolution,status(thm),[c7,two_different_balls_out_one_white_in]) ).
cnf(c113,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0))))))))),
inference(resolution,status(thm),[c47,two_different_balls_out_one_white_in]) ).
cnf(c116,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(n0)))))))),
inference(resolution,status(thm),[c113,two_different_balls_out_one_white_in]) ).
cnf(c119,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(n0))))))),
inference(resolution,status(thm),[c116,two_different_balls_out_one_white_in]) ).
cnf(c122,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(n0)))))),
inference(resolution,status(thm),[c119,two_different_balls_out_one_white_in]) ).
cnf(c125,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(n0))))),
inference(resolution,status(thm),[c122,two_different_balls_out_one_white_in]) ).
cnf(c128,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(n0)))),
inference(resolution,status(thm),[c125,two_different_balls_out_one_white_in]) ).
cnf(c131,plain,
p(s(s(s(s(s(s(n0)))))),s(s(n0))),
inference(resolution,status(thm),[c128,two_different_balls_out_one_white_in]) ).
cnf(c137,plain,
p(s(s(s(s(s(s(n0)))))),s(n0)),
inference(resolution,status(thm),[c131,two_different_balls_out_one_white_in]) ).
cnf(c140,plain,
p(s(s(s(s(s(s(n0)))))),n0),
inference(resolution,status(thm),[c137,two_different_balls_out_one_white_in]) ).
cnf(c6,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))),
inference(resolution,status(thm),[c3,two_whites_out_one_black_in]) ).
cnf(c10,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),
inference(resolution,status(thm),[c6,two_different_balls_out_one_white_in]) ).
cnf(c65,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(s(n0))))))))))),
inference(resolution,status(thm),[c10,two_different_balls_out_one_white_in]) ).
cnf(c80,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(n0)))))))))),
inference(resolution,status(thm),[c65,two_different_balls_out_one_white_in]) ).
cnf(c83,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0))))))))),
inference(resolution,status(thm),[c80,two_different_balls_out_one_white_in]) ).
cnf(c86,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(n0)))))))),
inference(resolution,status(thm),[c83,two_different_balls_out_one_white_in]) ).
cnf(c89,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(n0))))))),
inference(resolution,status(thm),[c86,two_different_balls_out_one_white_in]) ).
cnf(c92,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(n0)))))),
inference(resolution,status(thm),[c89,two_different_balls_out_one_white_in]) ).
cnf(c95,plain,
p(s(s(s(s(n0)))),s(s(s(s(n0))))),
inference(resolution,status(thm),[c92,two_different_balls_out_one_white_in]) ).
cnf(c98,plain,
p(s(s(s(s(n0)))),s(s(s(n0)))),
inference(resolution,status(thm),[c95,two_different_balls_out_one_white_in]) ).
cnf(c101,plain,
p(s(s(s(s(n0)))),s(s(n0))),
inference(resolution,status(thm),[c98,two_different_balls_out_one_white_in]) ).
cnf(c107,plain,
p(s(s(s(s(n0)))),s(n0)),
inference(resolution,status(thm),[c101,two_different_balls_out_one_white_in]) ).
cnf(c110,plain,
p(s(s(s(s(n0)))),n0),
inference(resolution,status(thm),[c107,two_different_balls_out_one_white_in]) ).
cnf(c9,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))),
inference(resolution,status(thm),[c6,two_whites_out_one_black_in]) ).
cnf(c13,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))),
inference(resolution,status(thm),[c9,two_different_balls_out_one_white_in]) ).
cnf(c35,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),
inference(resolution,status(thm),[c13,two_different_balls_out_one_white_in]) ).
cnf(c38,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(s(n0))))))))))),
inference(resolution,status(thm),[c35,two_different_balls_out_one_white_in]) ).
cnf(c41,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(n0)))))))))),
inference(resolution,status(thm),[c38,two_different_balls_out_one_white_in]) ).
cnf(c44,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(n0))))))))),
inference(resolution,status(thm),[c41,two_different_balls_out_one_white_in]) ).
cnf(c50,plain,
p(s(s(n0)),s(s(s(s(s(s(s(n0)))))))),
inference(resolution,status(thm),[c44,two_different_balls_out_one_white_in]) ).
cnf(c53,plain,
p(s(s(n0)),s(s(s(s(s(s(n0))))))),
inference(resolution,status(thm),[c50,two_different_balls_out_one_white_in]) ).
cnf(c56,plain,
p(s(s(n0)),s(s(s(s(s(n0)))))),
inference(resolution,status(thm),[c53,two_different_balls_out_one_white_in]) ).
cnf(c59,plain,
p(s(s(n0)),s(s(s(s(n0))))),
inference(resolution,status(thm),[c56,two_different_balls_out_one_white_in]) ).
cnf(c62,plain,
p(s(s(n0)),s(s(s(n0)))),
inference(resolution,status(thm),[c59,two_different_balls_out_one_white_in]) ).
cnf(c68,plain,
p(s(s(n0)),s(s(n0))),
inference(resolution,status(thm),[c62,two_different_balls_out_one_white_in]) ).
cnf(c71,plain,
p(s(s(n0)),s(n0)),
inference(resolution,status(thm),[c68,two_different_balls_out_one_white_in]) ).
cnf(c74,plain,
p(s(s(n0)),n0),
inference(resolution,status(thm),[c71,two_different_balls_out_one_white_in]) ).
cnf(two_blacks_out_one_black_in,axiom,
( p(X4,s(X5))
| ~ p(X4,s(s(X5))) ),
input ).
cnf(c12,plain,
p(n0,s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))),
inference(resolution,status(thm),[c9,two_whites_out_one_black_in]) ).
cnf(c15,plain,
p(n0,s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))),
inference(resolution,status(thm),[c12,two_blacks_out_one_black_in]) ).
cnf(c16,plain,
p(n0,s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))),
inference(resolution,status(thm),[c15,two_blacks_out_one_black_in]) ).
cnf(c20,plain,
p(n0,s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),
inference(resolution,status(thm),[c16,two_blacks_out_one_black_in]) ).
cnf(c21,plain,
p(n0,s(s(s(s(s(s(s(s(s(s(n0))))))))))),
inference(resolution,status(thm),[c20,two_blacks_out_one_black_in]) ).
cnf(c22,plain,
p(n0,s(s(s(s(s(s(s(s(s(n0)))))))))),
inference(resolution,status(thm),[c21,two_blacks_out_one_black_in]) ).
cnf(c23,plain,
p(n0,s(s(s(s(s(s(s(s(n0))))))))),
inference(resolution,status(thm),[c22,two_blacks_out_one_black_in]) ).
cnf(c24,plain,
p(n0,s(s(s(s(s(s(s(n0)))))))),
inference(resolution,status(thm),[c23,two_blacks_out_one_black_in]) ).
cnf(c25,plain,
p(n0,s(s(s(s(s(s(n0))))))),
inference(resolution,status(thm),[c24,two_blacks_out_one_black_in]) ).
cnf(c26,plain,
p(n0,s(s(s(s(s(n0)))))),
inference(resolution,status(thm),[c25,two_blacks_out_one_black_in]) ).
cnf(c27,plain,
p(n0,s(s(s(s(n0))))),
inference(resolution,status(thm),[c26,two_blacks_out_one_black_in]) ).
cnf(c28,plain,
p(n0,s(s(s(n0)))),
inference(resolution,status(thm),[c27,two_blacks_out_one_black_in]) ).
cnf(c29,plain,
p(n0,s(s(n0))),
inference(resolution,status(thm),[c28,two_blacks_out_one_black_in]) ).
cnf(c33,plain,
p(n0,s(n0)),
inference(resolution,status(thm),[c29,two_blacks_out_one_black_in]) ).
cnf(goal_state,negated_conjecture,
~ p(s(n0),n0),
input ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : PUZ054-1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun May 29 01:55:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.61/0.84 # Version: 1.3
% 0.61/0.84 # SZS status Satisfiable
% 0.61/0.84 # SZS output start Saturation
% See solution above
% 0.61/0.84
% 0.61/0.84 # Initial clauses : 5
% 0.61/0.84 # Processed clauses : 78
% 0.61/0.84 # Factors computed : 0
% 0.61/0.84 # Resolvents computed: 178
% 0.61/0.84 # Tautologies deleted: 0
% 0.61/0.84 # Forward subsumed : 105
% 0.61/0.84 # Backward subsumed : 0
% 0.61/0.84 # -------- CPU Time ---------
% 0.61/0.84 # User time : 0.488 s
% 0.61/0.84 # System time : 0.015 s
% 0.61/0.84 # Total time : 0.503 s
%------------------------------------------------------------------------------