TSTP Solution File: GRP521-1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP521-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n015.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 : 300s
% DateTime : Thu May 9 17:23:58 EDT 2024
% Result : Unsatisfiable 12.80s 13.01s
% Output : Refutation 12.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of clauses : 26 ( 17 unt; 0 nHn; 8 RR)
% Number of literals : 37 ( 36 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 72 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(transitivity,axiom,
( X9 != X10
| X10 != X8
| X9 = X8 ),
theory(equality) ).
cnf(symmetry,axiom,
( X3 != X4
| X4 = X3 ),
theory(equality) ).
cnf(multiply,axiom,
multiply(X24,X22) = divide(X24,divide(divide(X23,X23),X22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(c17,plain,
divide(X47,divide(divide(X46,X46),X45)) = multiply(X47,X45),
inference(resolution,[status(thm)],[multiply,symmetry]) ).
cnf(c38,plain,
( X280 != divide(X281,divide(divide(X282,X282),X279))
| X280 = multiply(X281,X279) ),
inference(resolution,[status(thm)],[c17,transitivity]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(inverse,axiom,
inverse(X7) = divide(divide(X6,X6),X7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
cnf(c4,plain,
divide(divide(X20,X20),X21) = inverse(X21),
inference(resolution,[status(thm)],[inverse,symmetry]) ).
cnf(c0,axiom,
( X48 != X49
| X50 != X51
| divide(X48,X50) = divide(X49,X51) ),
theory(equality) ).
cnf(c43,plain,
( X332 != X331
| divide(X332,divide(divide(X329,X329),X330)) = divide(X331,inverse(X330)) ),
inference(resolution,[status(thm)],[c0,c4]) ).
cnf(c698,plain,
divide(X359,divide(divide(X358,X358),X360)) = divide(X359,inverse(X360)),
inference(resolution,[status(thm)],[c43,reflexivity]) ).
cnf(c808,plain,
divide(X373,inverse(X371)) = divide(X373,divide(divide(X372,X372),X371)),
inference(resolution,[status(thm)],[c698,symmetry]) ).
cnf(c899,plain,
divide(X374,inverse(X375)) = multiply(X374,X375),
inference(resolution,[status(thm)],[c808,c38]) ).
cnf(c909,plain,
( X386 != divide(X387,inverse(X388))
| X386 = multiply(X387,X388) ),
inference(resolution,[status(thm)],[c899,transitivity]) ).
cnf(single_axiom,axiom,
divide(X13,divide(X11,divide(X12,divide(X13,X11)))) = X12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c8,plain,
( X78 != divide(X79,divide(X80,divide(X77,divide(X79,X80))))
| X78 = X77 ),
inference(resolution,[status(thm)],[single_axiom,transitivity]) ).
cnf(c49,plain,
( X414 != X413
| divide(X414,multiply(X411,X410)) = divide(X413,divide(X411,divide(divide(X412,X412),X410))) ),
inference(resolution,[status(thm)],[c0,multiply]) ).
cnf(c1111,plain,
divide(X3580,multiply(X3578,X3579)) = divide(X3580,divide(X3578,divide(divide(X3581,X3581),X3579))),
inference(resolution,[status(thm)],[c49,reflexivity]) ).
cnf(c30661,plain,
divide(X3584,multiply(X3583,divide(X3584,X3583))) = divide(X3582,X3582),
inference(resolution,[status(thm)],[c1111,c8]) ).
cnf(c30757,plain,
divide(X3598,multiply(X3596,divide(X3598,X3596))) = multiply(inverse(X3597),X3597),
inference(resolution,[status(thm)],[c30661,c909]) ).
cnf(c30977,plain,
multiply(inverse(X3614),X3614) = divide(X3613,multiply(X3615,divide(X3613,X3615))),
inference(resolution,[status(thm)],[c30757,symmetry]) ).
cnf(c30743,plain,
( X3637 != divide(X3639,multiply(X3636,divide(X3639,X3636)))
| X3637 = divide(X3638,X3638) ),
inference(resolution,[status(thm)],[c30661,transitivity]) ).
cnf(c31544,plain,
multiply(inverse(X3652),X3652) = divide(X3651,X3651),
inference(resolution,[status(thm)],[c30743,c30977]) ).
cnf(c31843,plain,
multiply(inverse(X3710),X3710) = multiply(inverse(X3711),X3711),
inference(resolution,[status(thm)],[c31544,c909]) ).
cnf(c32736,plain,
$false,
inference(resolution,[status(thm)],[c31843,prove_these_axioms_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP521-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n015.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 9 03:40:08 EDT 2024
% 0.12/0.34 % CPUTime :
% 12.80/13.01 % Version: 1.5
% 12.80/13.01 % SZS status Unsatisfiable
% 12.80/13.01 % SZS output start CNFRefutation
% See solution above
% 12.80/13.01
% 12.80/13.01 % Initial clauses : 10
% 12.80/13.01 % Processed clauses : 550
% 12.80/13.01 % Factors computed : 3
% 12.80/13.01 % Resolvents computed: 32790
% 12.80/13.01 % Tautologies deleted: 2
% 12.80/13.01 % Forward subsumed : 733
% 12.80/13.01 % Backward subsumed : 25
% 12.80/13.01 % -------- CPU Time ---------
% 12.80/13.01 % User time : 12.587 s
% 12.80/13.01 % System time : 0.086 s
% 12.80/13.01 % Total time : 12.673 s
%------------------------------------------------------------------------------