TSTP Solution File: GRP460-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP460-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n025.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 11:23:13 EDT 2022
% Result : Unsatisfiable 4.41s 4.67s
% Output : Refutation 4.41s
% 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) != identity,
input ).
cnf(identity,axiom,
identity = divide(X3,X3),
input ).
cnf(symmetry,axiom,
( X4 != X5
| X5 = X4 ),
eq_axiom ).
cnf(c3,plain,
divide(X7,X7) = identity,
inference(resolution,status(thm),[symmetry,identity]) ).
cnf(transitivity,axiom,
( X18 != X19
| X19 != X17
| X18 = X17 ),
eq_axiom ).
cnf(c11,plain,
( X25 != divide(X26,X26)
| X25 = identity ),
inference(resolution,status(thm),[transitivity,c3]) ).
cnf(multiply,axiom,
multiply(X16,X15) = divide(X16,divide(identity,X15)),
input ).
cnf(c9,plain,
divide(X52,divide(identity,X51)) = multiply(X52,X51),
inference(resolution,status(thm),[multiply,symmetry]) ).
cnf(c84,plain,
( X357 != divide(X356,divide(identity,X358))
| X357 = multiply(X356,X358) ),
inference(resolution,status(thm),[c9,transitivity]) ).
cnf(reflexivity,axiom,
X2 = X2,
eq_axiom ).
cnf(inverse,axiom,
inverse(X12) = divide(identity,X12),
input ).
cnf(c0,plain,
( X28 != X29
| X27 != X30
| divide(X28,X27) = divide(X29,X30) ),
eq_axiom ).
cnf(c29,plain,
( X108 != X107
| divide(X108,inverse(X106)) = divide(X107,divide(identity,X106)) ),
inference(resolution,status(thm),[c0,inverse]) ).
cnf(c268,plain,
divide(X921,inverse(X922)) = divide(X921,divide(identity,X922)),
inference(resolution,status(thm),[c29,reflexivity]) ).
cnf(c14821,plain,
divide(X929,inverse(X928)) = multiply(X929,X928),
inference(resolution,status(thm),[c268,c84]) ).
cnf(c15099,plain,
multiply(X931,X930) = divide(X931,inverse(X930)),
inference(resolution,status(thm),[c14821,symmetry]) ).
cnf(c15148,plain,
multiply(inverse(X932),X932) = identity,
inference(resolution,status(thm),[c15099,c11]) ).
cnf(c15244,plain,
$false,
inference(resolution,status(thm),[c15148,prove_these_axioms_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP460-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n025.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 : Tue Jun 14 06:49:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 4.41/4.67 # Version: 1.3
% 4.41/4.67 # SZS status Unsatisfiable
% 4.41/4.67 # SZS output start CNFRefutation
% See solution above
% 4.41/4.67
% 4.41/4.67 # Initial clauses : 11
% 4.41/4.67 # Processed clauses : 307
% 4.41/4.67 # Factors computed : 0
% 4.41/4.67 # Resolvents computed: 15331
% 4.41/4.67 # Tautologies deleted: 1
% 4.41/4.67 # Forward subsumed : 490
% 4.41/4.67 # Backward subsumed : 4
% 4.41/4.67 # -------- CPU Time ---------
% 4.41/4.67 # User time : 4.284 s
% 4.41/4.67 # System time : 0.040 s
% 4.41/4.67 # Total time : 4.324 s
%------------------------------------------------------------------------------