TSTP Solution File: GRP517-1 by PyRes---1.3
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%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP517-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 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 : 600s
% DateTime : Sat Jul 16 11:23:24 EDT 2022
% Result : Unsatisfiable 5.08s 5.27s
% Output : Refutation 5.08s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
input ).
cnf(symmetry,axiom,
( X3 != X4
| X4 = X3 ),
eq_axiom ).
cnf(transitivity,axiom,
( X7 != X8
| X8 != X6
| X7 = X6 ),
eq_axiom ).
cnf(single_axiom,axiom,
multiply(X11,multiply(multiply(inverse(multiply(X11,X12)),X13),X12)) = X13,
input ).
cnf(c5,plain,
( X34 != multiply(X33,multiply(multiply(inverse(multiply(X33,X35)),X32),X35))
| X34 = X32 ),
inference(resolution,status(thm),[single_axiom,transitivity]) ).
cnf(reflexivity,axiom,
X2 = X2,
eq_axiom ).
cnf(c0,plain,
( X18 != X20
| X19 != X17
| multiply(X18,X19) = multiply(X20,X17) ),
eq_axiom ).
cnf(c8,plain,
( X23 != X22
| multiply(X23,X21) = multiply(X22,X21) ),
inference(resolution,status(thm),[c0,reflexivity]) ).
cnf(c1,plain,
( X14 != X15
| inverse(X14) = inverse(X15) ),
eq_axiom ).
cnf(c7,plain,
inverse(multiply(X41,multiply(multiply(inverse(multiply(X41,X42)),X40),X42))) = inverse(X40),
inference(resolution,status(thm),[c1,single_axiom]) ).
cnf(c22,plain,
multiply(inverse(multiply(X141,multiply(multiply(inverse(multiply(X141,X139)),X138),X139))),X140) = multiply(inverse(X138),X140),
inference(resolution,status(thm),[c7,c8]) ).
cnf(c138,plain,
( X533 != multiply(inverse(multiply(X534,multiply(multiply(inverse(multiply(X534,X537)),X535),X537))),X536)
| X533 = multiply(inverse(X535),X536) ),
inference(resolution,status(thm),[c22,transitivity]) ).
cnf(c9,plain,
( X61 != X63
| multiply(X61,multiply(X60,multiply(multiply(inverse(multiply(X60,X62)),X59),X62))) = multiply(X63,X59) ),
inference(resolution,status(thm),[c0,single_axiom]) ).
cnf(c35,plain,
multiply(X74,multiply(X73,multiply(multiply(inverse(multiply(X73,X75)),X72),X75))) = multiply(X74,X72),
inference(resolution,status(thm),[c9,reflexivity]) ).
cnf(c56,plain,
( X567 != X569
| multiply(X567,multiply(X566,multiply(X564,multiply(multiply(inverse(multiply(X564,X565)),X568),X565)))) = multiply(X569,multiply(X566,X568)) ),
inference(resolution,status(thm),[c35,c0]) ).
cnf(c987,plain,
multiply(X574,multiply(X575,multiply(X577,multiply(multiply(inverse(multiply(X577,X576)),X578),X576)))) = multiply(X574,multiply(X575,X578)),
inference(resolution,status(thm),[c56,reflexivity]) ).
cnf(c1041,plain,
( X1477 != multiply(X1480,multiply(X1479,multiply(X1481,multiply(multiply(inverse(multiply(X1481,X1478)),X1482),X1478))))
| X1477 = multiply(X1480,multiply(X1479,X1482)) ),
inference(resolution,status(thm),[c987,transitivity]) ).
cnf(c11,plain,
multiply(multiply(X65,multiply(multiply(inverse(multiply(X65,X67)),X64),X67)),X66) = multiply(X64,X66),
inference(resolution,status(thm),[c8,single_axiom]) ).
cnf(c40,plain,
( X377 != X379
| multiply(X377,multiply(multiply(X378,multiply(multiply(inverse(multiply(X378,X375)),X374),X375)),X376)) = multiply(X379,multiply(X374,X376)) ),
inference(resolution,status(thm),[c11,c0]) ).
cnf(c483,plain,
multiply(X381,multiply(multiply(X380,multiply(multiply(inverse(multiply(X380,X383)),X384),X383)),X382)) = multiply(X381,multiply(X384,X382)),
inference(resolution,status(thm),[c40,reflexivity]) ).
cnf(c527,plain,
multiply(X386,multiply(X385,X389)) = multiply(X386,multiply(multiply(X387,multiply(multiply(inverse(multiply(X387,X388)),X385),X388)),X389)),
inference(resolution,status(thm),[c483,symmetry]) ).
cnf(c533,plain,
multiply(X391,multiply(X392,X393)) = multiply(multiply(inverse(multiply(inverse(multiply(X391,X393)),X390)),X392),X390),
inference(resolution,status(thm),[c527,c5]) ).
cnf(c550,plain,
( X1927 != X1928
| multiply(X1927,multiply(X1924,multiply(X1926,X1925))) = multiply(X1928,multiply(multiply(inverse(multiply(inverse(multiply(X1924,X1925)),X1929)),X1926),X1929)) ),
inference(resolution,status(thm),[c533,c0]) ).
cnf(c5311,plain,
multiply(X1930,multiply(X1934,multiply(X1933,X1932))) = multiply(X1930,multiply(multiply(inverse(multiply(inverse(multiply(X1934,X1932)),X1931)),X1933),X1931)),
inference(resolution,status(thm),[c550,reflexivity]) ).
cnf(c5473,plain,
multiply(inverse(multiply(X1935,X1937)),multiply(X1935,multiply(X1936,X1937))) = X1936,
inference(resolution,status(thm),[c5311,c5]) ).
cnf(c5549,plain,
X1939 = multiply(inverse(multiply(X1938,X1940)),multiply(X1938,multiply(X1939,X1940))),
inference(resolution,status(thm),[c5473,symmetry]) ).
cnf(c5563,plain,
X2027 = multiply(inverse(multiply(X2029,multiply(multiply(inverse(multiply(X2027,X2030)),X2028),X2030))),multiply(X2029,X2028)),
inference(resolution,status(thm),[c5549,c1041]) ).
cnf(c6212,plain,
X2038 = multiply(inverse(X2037),multiply(X2038,X2037)),
inference(resolution,status(thm),[c5563,c138]) ).
cnf(c6264,plain,
multiply(inverse(multiply(inverse(X2045),X2045)),X2044) = X2044,
inference(resolution,status(thm),[c6212,c5]) ).
cnf(c6397,plain,
X2054 = multiply(inverse(multiply(inverse(X2053),X2053)),X2054),
inference(resolution,status(thm),[c6264,symmetry]) ).
cnf(c6289,plain,
multiply(inverse(X2040),multiply(X2041,X2040)) = X2041,
inference(resolution,status(thm),[c6212,symmetry]) ).
cnf(c6305,plain,
( X2074 != multiply(inverse(X2075),multiply(X2073,X2075))
| X2074 = X2073 ),
inference(resolution,status(thm),[c6289,transitivity]) ).
cnf(c6790,plain,
multiply(X2087,multiply(inverse(X2086),X2086)) = X2087,
inference(resolution,status(thm),[c6305,c6397]) ).
cnf(c6985,plain,
( X2120 != multiply(X2118,multiply(inverse(X2119),X2119))
| X2120 = X2118 ),
inference(resolution,status(thm),[c6790,transitivity]) ).
cnf(c7343,plain,
multiply(inverse(X2152),X2152) = inverse(multiply(inverse(X2153),X2153)),
inference(resolution,status(thm),[c6985,c6397]) ).
cnf(c7709,plain,
inverse(multiply(inverse(X2158),X2158)) = multiply(inverse(X2159),X2159),
inference(resolution,status(thm),[c7343,symmetry]) ).
cnf(c7721,plain,
( X2622 != inverse(multiply(inverse(X2623),X2623))
| X2622 = multiply(inverse(X2624),X2624) ),
inference(resolution,status(thm),[c7709,transitivity]) ).
cnf(c11754,plain,
multiply(inverse(X2625),X2625) = multiply(inverse(X2626),X2626),
inference(resolution,status(thm),[c7721,c7343]) ).
cnf(c11801,plain,
$false,
inference(resolution,status(thm),[c11754,prove_these_axioms_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP517-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n008.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 : Mon Jun 13 21:26:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 5.08/5.27 # Version: 1.3
% 5.08/5.27 # SZS status Unsatisfiable
% 5.08/5.27 # SZS output start CNFRefutation
% See solution above
% 5.08/5.27
% 5.08/5.27 # Initial clauses : 7
% 5.08/5.27 # Processed clauses : 330
% 5.08/5.27 # Factors computed : 0
% 5.08/5.27 # Resolvents computed: 11828
% 5.08/5.27 # Tautologies deleted: 1
% 5.08/5.27 # Forward subsumed : 325
% 5.08/5.27 # Backward subsumed : 0
% 5.08/5.27 # -------- CPU Time ---------
% 5.08/5.27 # User time : 4.884 s
% 5.08/5.27 # System time : 0.034 s
% 5.08/5.27 # Total time : 4.918 s
%------------------------------------------------------------------------------