TSTP Solution File: GRP117-1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP117-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n012.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 : Sat Jul 16 11:21:42 EDT 2022
% Result : Unsatisfiable 1.37s 1.58s
% Output : Refutation 1.37s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_order3,negated_conjecture,
multiply(a,identity) != a,
input ).
cnf(symmetry,axiom,
( X4 != X3
| X3 = X4 ),
eq_axiom ).
cnf(transitivity,axiom,
( X8 != X6
| X6 != X7
| X8 = X7 ),
eq_axiom ).
cnf(reflexivity,axiom,
X2 = X2,
eq_axiom ).
cnf(c0,plain,
( X15 != X16
| X14 != X17
| multiply(X15,X14) = multiply(X16,X17) ),
eq_axiom ).
cnf(c5,plain,
( X20 != X18
| multiply(X20,X19) = multiply(X18,X19) ),
inference(resolution,status(thm),[c0,reflexivity]) ).
cnf(single_axiom,axiom,
multiply(X11,multiply(multiply(X11,multiply(multiply(X11,X9),X10)),multiply(identity,multiply(X10,X10)))) = X9,
input ).
cnf(c3,plain,
( X29 != multiply(X26,multiply(multiply(X26,multiply(multiply(X26,X27),X28)),multiply(identity,multiply(X28,X28))))
| X29 = X27 ),
inference(resolution,status(thm),[single_axiom,transitivity]) ).
cnf(c8,plain,
multiply(multiply(X49,multiply(multiply(X49,multiply(multiply(X49,X52),X50)),multiply(identity,multiply(X50,X50)))),X51) = multiply(X52,X51),
inference(resolution,status(thm),[c5,single_axiom]) ).
cnf(c25,plain,
( X200 != X199
| multiply(X200,multiply(multiply(X202,multiply(multiply(X202,multiply(multiply(X202,X201),X198)),multiply(identity,multiply(X198,X198)))),X197)) = multiply(X199,multiply(X201,X197)) ),
inference(resolution,status(thm),[c8,c0]) ).
cnf(c183,plain,
multiply(X210,multiply(multiply(X211,multiply(multiply(X211,multiply(multiply(X211,X212),X209)),multiply(identity,multiply(X209,X209)))),X213)) = multiply(X210,multiply(X212,X213)),
inference(resolution,status(thm),[c25,reflexivity]) ).
cnf(c206,plain,
multiply(X218,multiply(X216,X217)) = multiply(X218,multiply(multiply(X214,multiply(multiply(X214,multiply(multiply(X214,X216),X215)),multiply(identity,multiply(X215,X215)))),X217)),
inference(resolution,status(thm),[c183,symmetry]) ).
cnf(c217,plain,
multiply(X221,multiply(X219,multiply(identity,multiply(multiply(identity,multiply(X220,X220)),multiply(identity,multiply(X220,X220)))))) = multiply(multiply(X221,X219),X220),
inference(resolution,status(thm),[c206,c3]) ).
cnf(c232,plain,
multiply(multiply(X223,X222),X224) = multiply(X223,multiply(X222,multiply(identity,multiply(multiply(identity,multiply(X224,X224)),multiply(identity,multiply(X224,X224)))))),
inference(resolution,status(thm),[c217,symmetry]) ).
cnf(c243,plain,
multiply(multiply(X226,multiply(X226,multiply(multiply(X226,X227),multiply(identity,multiply(X225,X225))))),X225) = X227,
inference(resolution,status(thm),[c232,c3]) ).
cnf(c263,plain,
multiply(multiply(multiply(X266,multiply(X266,multiply(multiply(X266,X263),multiply(identity,multiply(X264,X264))))),X264),X265) = multiply(X263,X265),
inference(resolution,status(thm),[c243,c5]) ).
cnf(c360,plain,
( X321 != multiply(multiply(multiply(X325,multiply(X325,multiply(multiply(X325,X323),multiply(identity,multiply(X324,X324))))),X324),X322)
| X321 = multiply(X323,X322) ),
inference(resolution,status(thm),[c263,transitivity]) ).
cnf(c242,plain,
( X455 != multiply(X453,multiply(X452,multiply(identity,multiply(multiply(identity,multiply(X454,X454)),multiply(identity,multiply(X454,X454))))))
| X455 = multiply(multiply(X453,X452),X454) ),
inference(resolution,status(thm),[c217,transitivity]) ).
cnf(c4,plain,
X23 = multiply(X25,multiply(multiply(X25,multiply(multiply(X25,X23),X24)),multiply(identity,multiply(X24,X24)))),
inference(resolution,status(thm),[single_axiom,symmetry]) ).
cnf(c6,plain,
( X47 != X44
| multiply(X47,multiply(X48,multiply(multiply(X48,multiply(multiply(X48,X45),X46)),multiply(identity,multiply(X46,X46))))) = multiply(X44,X45) ),
inference(resolution,status(thm),[c0,single_axiom]) ).
cnf(c20,plain,
multiply(X58,multiply(X59,multiply(multiply(X59,multiply(multiply(X59,X60),X57)),multiply(identity,multiply(X57,X57))))) = multiply(X58,X60),
inference(resolution,status(thm),[c6,reflexivity]) ).
cnf(c39,plain,
( X466 != X463
| multiply(X466,multiply(X467,multiply(X462,multiply(multiply(X462,multiply(multiply(X462,X464),X465)),multiply(identity,multiply(X465,X465)))))) = multiply(X463,multiply(X467,X464)) ),
inference(resolution,status(thm),[c20,c0]) ).
cnf(c854,plain,
multiply(X472,multiply(X471,multiply(X475,multiply(multiply(X475,multiply(multiply(X475,X474),X473)),multiply(identity,multiply(X473,X473)))))) = multiply(X472,multiply(X471,X474)),
inference(resolution,status(thm),[c39,reflexivity]) ).
cnf(c873,plain,
multiply(X476,multiply(X477,X478)) = multiply(X476,multiply(X477,multiply(X480,multiply(multiply(X480,multiply(multiply(X480,X478),X479)),multiply(identity,multiply(X479,X479)))))),
inference(resolution,status(thm),[c854,symmetry]) ).
cnf(c919,plain,
multiply(X482,multiply(X481,X483)) = multiply(multiply(X482,X481),multiply(identity,X483)),
inference(resolution,status(thm),[c873,c242]) ).
cnf(c937,plain,
( X500 != multiply(X497,multiply(X498,X499))
| X500 = multiply(multiply(X497,X498),multiply(identity,X499)) ),
inference(resolution,status(thm),[c919,transitivity]) ).
cnf(c1009,plain,
X755 = multiply(multiply(X756,multiply(X756,multiply(multiply(X756,X755),X757))),multiply(identity,multiply(identity,multiply(X757,X757)))),
inference(resolution,status(thm),[c937,c4]) ).
cnf(c2109,plain,
X953 = multiply(multiply(multiply(X951,multiply(X951,multiply(multiply(X951,X953),multiply(identity,multiply(X952,X952))))),identity),X952),
inference(resolution,status(thm),[c1009,c242]) ).
cnf(c3106,plain,
X954 = multiply(X954,identity),
inference(resolution,status(thm),[c2109,c360]) ).
cnf(c3130,plain,
multiply(X955,identity) = X955,
inference(resolution,status(thm),[c3106,symmetry]) ).
cnf(c3158,plain,
$false,
inference(resolution,status(thm),[c3130,prove_order3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP117-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 20:25:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.37/1.58 # Version: 1.3
% 1.37/1.58 # SZS status Unsatisfiable
% 1.37/1.58 # SZS output start CNFRefutation
% See solution above
% 1.37/1.58
% 1.37/1.58 # Initial clauses : 6
% 1.37/1.58 # Processed clauses : 128
% 1.37/1.58 # Factors computed : 0
% 1.37/1.58 # Resolvents computed: 3198
% 1.37/1.58 # Tautologies deleted: 1
% 1.37/1.58 # Forward subsumed : 111
% 1.37/1.58 # Backward subsumed : 0
% 1.37/1.58 # -------- CPU Time ---------
% 1.37/1.58 # User time : 1.207 s
% 1.37/1.58 # System time : 0.024 s
% 1.37/1.58 # Total time : 1.231 s
%------------------------------------------------------------------------------