%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP525-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n027.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 2.60s 2.82s
% Output : Refutation 2.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of clauses : 27 ( 16 unt; 0 nHn; 10 RR)
% Number of literals : 41 ( 40 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 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 : 70 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(transitivity,axiom,
( X8 != X9
| X9 != X10
| X8 = X10 ),
theory(equality) ).
cnf(symmetry,axiom,
( X3 != X4
| X4 = X3 ),
theory(equality) ).
cnf(multiply,axiom,
multiply(X24,X23) = divide(X24,divide(divide(X22,X22),X23)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c17,plain,
divide(X45,divide(divide(X47,X47),X46)) = multiply(X45,X46),
inference(resolution,[status(thm)],[multiply,symmetry]) ).
cnf(c40,plain,
( X326 != divide(X328,divide(divide(X329,X329),X327))
| X326 = multiply(X328,X327) ),
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/sandbox/benchmark/theBenchmark.p',inverse) ).
cnf(c0,axiom,
( X49 != X51
| X48 != X50
| divide(X49,X48) = divide(X51,X50) ),
theory(equality) ).
cnf(c47,plain,
( X406 != X407
| divide(X406,inverse(X408)) = divide(X407,divide(divide(X405,X405),X408)) ),
inference(resolution,[status(thm)],[c0,inverse]) ).
cnf(c1269,plain,
divide(X625,inverse(X626)) = divide(X625,divide(divide(X627,X627),X626)),
inference(resolution,[status(thm)],[c47,reflexivity]) ).
cnf(c2516,plain,
divide(X633,inverse(X634)) = multiply(X633,X634),
inference(resolution,[status(thm)],[c1269,c40]) ).
cnf(c2592,plain,
( X677 != divide(X679,inverse(X678))
| X677 = multiply(X679,X678) ),
inference(resolution,[status(thm)],[c2516,transitivity]) ).
cnf(single_axiom,axiom,
divide(X13,divide(divide(X13,X12),divide(X11,X12))) = X11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c8,plain,
( X78 != divide(X77,divide(divide(X77,X79),divide(X80,X79)))
| X78 = X80 ),
inference(resolution,[status(thm)],[single_axiom,transitivity]) ).
cnf(c107,plain,
multiply(X83,divide(X82,X83)) = X82,
inference(resolution,[status(thm)],[c8,multiply]) ).
cnf(c122,plain,
( X94 != multiply(X93,divide(X95,X93))
| X94 = X95 ),
inference(resolution,[status(thm)],[c107,transitivity]) ).
cnf(c1,axiom,
( X64 != X66
| X63 != X65
| multiply(X64,X63) = multiply(X66,X65) ),
theory(equality) ).
cnf(c82,plain,
( X827 != X826
| multiply(X827,inverse(X828)) = multiply(X826,divide(divide(X825,X825),X828)) ),
inference(resolution,[status(thm)],[c1,inverse]) ).
cnf(c3926,plain,
multiply(X1195,inverse(X1196)) = multiply(X1195,divide(divide(X1197,X1197),X1196)),
inference(resolution,[status(thm)],[c82,reflexivity]) ).
cnf(c6790,plain,
multiply(X1202,inverse(X1202)) = divide(X1203,X1203),
inference(resolution,[status(thm)],[c3926,c122]) ).
cnf(c6852,plain,
multiply(X1208,inverse(X1208)) = multiply(inverse(X1209),X1209),
inference(resolution,[status(thm)],[c6790,c2592]) ).
cnf(c6948,plain,
multiply(inverse(X1220),X1220) = multiply(X1221,inverse(X1221)),
inference(resolution,[status(thm)],[c6852,symmetry]) ).
cnf(c6866,plain,
( X1243 != multiply(X1244,inverse(X1244))
| X1243 = divide(X1242,X1242) ),
inference(resolution,[status(thm)],[c6790,transitivity]) ).
cnf(c7371,plain,
multiply(inverse(X1260),X1260) = divide(X1259,X1259),
inference(resolution,[status(thm)],[c6866,c6948]) ).
cnf(c7638,plain,
multiply(inverse(X1315),X1315) = multiply(inverse(X1314),X1314),
inference(resolution,[status(thm)],[c7371,c2592]) ).
cnf(c8356,plain,
$false,
inference(resolution,[status(thm)],[c7638,prove_these_axioms_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP525-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n027.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 : 300
% 0.13/0.34 % DateTime : Thu May 9 03:41:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 2.60/2.82 % Version: 1.5
% 2.60/2.82 % SZS status Unsatisfiable
% 2.60/2.82 % SZS output start CNFRefutation
% See solution above
% 2.60/2.82
% 2.60/2.82 % Initial clauses : 10
% 2.60/2.82 % Processed clauses : 262
% 2.60/2.82 % Factors computed : 3
% 2.60/2.82 % Resolvents computed: 8366
% 2.60/2.82 % Tautologies deleted: 2
% 2.60/2.82 % Forward subsumed : 244
% 2.60/2.82 % Backward subsumed : 11
% 2.60/2.82 % -------- CPU Time ---------
% 2.60/2.82 % User time : 2.447 s
% 2.60/2.82 % System time : 0.028 s
% 2.60/2.82 % Total time : 2.475 s
%------------------------------------------------------------------------------