TSTP Solution File: GRP046-2 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP046-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 11:21:30 EDT 2022
% Result : Unsatisfiable 1.89s 2.06s
% Output : Refutation 1.89s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_multiply_substitution1,negated_conjecture,
~ equalish(multiply(a,c),multiply(b,c)),
input ).
cnf(total_function1,axiom,
product(X5,X4,multiply(X5,X4)),
input ).
cnf(total_function2,axiom,
( ~ product(X7,X6,X8)
| ~ product(X7,X6,X9)
| equalish(X8,X9) ),
input ).
cnf(c2,plain,
( ~ product(X30,X31,X29)
| equalish(X29,multiply(X30,X31)) ),
inference(resolution,status(thm),[total_function2,total_function1]) ).
cnf(left_identity,axiom,
product(identity,X2,X2),
input ).
cnf(associativity1,axiom,
( ~ product(X13,X11,X10)
| ~ product(X11,X14,X15)
| ~ product(X10,X14,X12)
| product(X13,X15,X12) ),
input ).
cnf(c5,plain,
( ~ product(X67,X70,X68)
| ~ product(X70,X69,X71)
| product(X67,X71,multiply(X68,X69)) ),
inference(resolution,status(thm),[associativity1,total_function1]) ).
cnf(c83,plain,
( ~ product(X285,identity,X284)
| product(X285,X283,multiply(X284,X283)) ),
inference(resolution,status(thm),[c5,left_identity]) ).
cnf(c1,plain,
( ~ product(identity,X16,X17)
| equalish(X17,X16) ),
inference(resolution,status(thm),[total_function2,left_identity]) ).
cnf(a_equals_b,plain,
equalish(a,b),
input ).
cnf(product_substitution3,axiom,
( ~ equalish(X37,X36)
| ~ product(X39,X38,X37)
| product(X39,X38,X36) ),
input ).
cnf(c17,plain,
( ~ equalish(X40,X41)
| product(identity,X40,X41) ),
inference(resolution,status(thm),[product_substitution3,left_identity]) ).
cnf(c22,plain,
product(identity,a,b),
inference(resolution,status(thm),[c17,a_equals_b]) ).
cnf(c26,plain,
equalish(b,a),
inference(resolution,status(thm),[c22,c1]) ).
cnf(left_inverse,axiom,
product(inverse(X3),X3,identity),
input ).
cnf(c4,plain,
( ~ product(X57,X60,identity)
| ~ product(X60,X59,X58)
| product(X57,X58,X59) ),
inference(resolution,status(thm),[associativity1,left_identity]) ).
cnf(c57,plain,
( ~ product(X160,inverse(X159),identity)
| product(X160,identity,X159) ),
inference(resolution,status(thm),[c4,left_inverse]) ).
cnf(c18,plain,
( ~ equalish(multiply(X54,X55),X53)
| product(X54,X55,X53) ),
inference(resolution,status(thm),[product_substitution3,total_function1]) ).
cnf(associativity2,axiom,
( ~ product(X25,X23,X22)
| ~ product(X23,X26,X27)
| ~ product(X25,X27,X24)
| product(X22,X26,X24) ),
input ).
cnf(c10,plain,
( ~ product(inverse(X75),X76,X77)
| ~ product(X76,X74,X75)
| product(X77,X74,identity) ),
inference(resolution,status(thm),[associativity2,left_inverse]) ).
cnf(c91,plain,
( ~ product(X116,X115,X116)
| product(identity,X115,identity) ),
inference(resolution,status(thm),[c10,left_inverse]) ).
cnf(c56,plain,
( ~ product(X154,X153,identity)
| product(X154,multiply(X153,X155),X155) ),
inference(resolution,status(thm),[c4,total_function1]) ).
cnf(c403,plain,
product(inverse(X162),multiply(X162,X163),X163),
inference(resolution,status(thm),[c56,left_inverse]) ).
cnf(c410,plain,
product(identity,multiply(X213,inverse(X213)),identity),
inference(resolution,status(thm),[c403,c91]) ).
cnf(c648,plain,
equalish(identity,multiply(X218,inverse(X218))),
inference(resolution,status(thm),[c410,c1]) ).
cnf(c673,plain,
product(identity,identity,multiply(X253,inverse(X253))),
inference(resolution,status(thm),[c648,c17]) ).
cnf(c941,plain,
equalish(multiply(X259,inverse(X259)),identity),
inference(resolution,status(thm),[c673,c1]) ).
cnf(c1000,plain,
product(X260,inverse(X260),identity),
inference(resolution,status(thm),[c941,c18]) ).
cnf(c1002,plain,
product(X261,identity,X261),
inference(resolution,status(thm),[c1000,c57]) ).
cnf(c1033,plain,
( ~ equalish(X293,X292)
| product(X293,identity,X292) ),
inference(resolution,status(thm),[c1002,product_substitution3]) ).
cnf(c1220,plain,
product(b,identity,a),
inference(resolution,status(thm),[c1033,c26]) ).
cnf(c1251,plain,
product(b,X348,multiply(a,X348)),
inference(resolution,status(thm),[c1220,c83]) ).
cnf(c1775,plain,
equalish(multiply(a,X643),multiply(b,X643)),
inference(resolution,status(thm),[c1251,c2]) ).
cnf(c4660,plain,
$false,
inference(resolution,status(thm),[c1775,prove_multiply_substitution1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP046-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 11:52:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.89/2.06 # Version: 1.3
% 1.89/2.06 # SZS status Unsatisfiable
% 1.89/2.06 # SZS output start CNFRefutation
% See solution above
% 1.89/2.06
% 1.89/2.06 # Initial clauses : 9
% 1.89/2.06 # Processed clauses : 288
% 1.89/2.06 # Factors computed : 6
% 1.89/2.06 # Resolvents computed: 4657
% 1.89/2.06 # Tautologies deleted: 3
% 1.89/2.06 # Forward subsumed : 396
% 1.89/2.06 # Backward subsumed : 13
% 1.89/2.06 # -------- CPU Time ---------
% 1.89/2.06 # User time : 1.694 s
% 1.89/2.06 # System time : 0.024 s
% 1.89/2.06 # Total time : 1.718 s
%------------------------------------------------------------------------------