%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP546-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 17:24:01 EDT 2024
% Result : Unsatisfiable 57.68s 57.84s
% Output : Refutation 57.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 11
% Syntax : Number of clauses : 54 ( 38 unt; 0 nHn; 17 RR)
% Number of literals : 73 ( 72 equ; 20 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 93 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_these_axioms_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c1,axiom,
( X42 != X44
| X41 != X43
| multiply(X42,X41) = multiply(X44,X43) ),
theory(equality) ).
cnf(c64,plain,
( X145 != X143
| multiply(X145,X144) = multiply(X143,X144) ),
inference(resolution,[status(thm)],[c1,reflexivity]) ).
cnf(symmetry,axiom,
( X5 != X4
| X4 = X5 ),
theory(equality) ).
cnf(transitivity,axiom,
( X17 != X15
| X15 != X16
| X17 = X16 ),
theory(equality) ).
cnf(multiply,axiom,
multiply(X19,X18) = divide(X19,divide(identity,X18)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(c16,plain,
divide(X71,divide(identity,X72)) = multiply(X71,X72),
inference(resolution,[status(thm)],[multiply,symmetry]) ).
cnf(c155,plain,
( X548 != divide(X550,divide(identity,X549))
| X548 = multiply(X550,X549) ),
inference(resolution,[status(thm)],[c16,transitivity]) ).
cnf(identity,axiom,
identity = divide(X3,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
cnf(c4,plain,
divide(X7,X7) = identity,
inference(resolution,[status(thm)],[symmetry,identity]) ).
cnf(c12,plain,
( X33 != divide(X34,X34)
| X33 = identity ),
inference(resolution,[status(thm)],[transitivity,c4]) ).
cnf(inverse,axiom,
inverse(X12) = divide(identity,X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
cnf(c0,axiom,
( X36 != X38
| X35 != X37
| divide(X36,X35) = divide(X38,X37) ),
theory(equality) ).
cnf(c44,plain,
( X131 != X133
| divide(X131,X132) = divide(X133,X132) ),
inference(resolution,[status(thm)],[c0,reflexivity]) ).
cnf(c308,plain,
divide(inverse(X988),X987) = divide(divide(identity,X988),X987),
inference(resolution,[status(thm)],[c44,inverse]) ).
cnf(c17708,plain,
divide(inverse(X989),divide(identity,X989)) = identity,
inference(resolution,[status(thm)],[c308,c12]) ).
cnf(c17793,plain,
identity = divide(inverse(X990),divide(identity,X990)),
inference(resolution,[status(thm)],[c17708,symmetry]) ).
cnf(c17899,plain,
identity = multiply(inverse(X991),X991),
inference(resolution,[status(thm)],[c17793,c155]) ).
cnf(c17963,plain,
multiply(inverse(X994),X994) = identity,
inference(resolution,[status(thm)],[c17899,symmetry]) ).
cnf(c18194,plain,
multiply(multiply(inverse(X2633),X2633),X2634) = multiply(identity,X2634),
inference(resolution,[status(thm)],[c17963,c64]) ).
cnf(c15,plain,
( X66 != inverse(X67)
| X66 = divide(identity,X67) ),
inference(resolution,[status(thm)],[transitivity,inverse]) ).
cnf(c2,axiom,
( X23 != X24
| inverse(X23) = inverse(X24) ),
theory(equality) ).
cnf(c24,plain,
inverse(inverse(X98)) = inverse(divide(identity,X98)),
inference(resolution,[status(thm)],[c2,inverse]) ).
cnf(c229,plain,
inverse(inverse(X821)) = divide(identity,divide(identity,X821)),
inference(resolution,[status(thm)],[c24,c15]) ).
cnf(c12393,plain,
inverse(inverse(X825)) = multiply(identity,X825),
inference(resolution,[status(thm)],[c229,c155]) ).
cnf(c12642,plain,
( X2334 != inverse(inverse(X2333))
| X2334 = multiply(identity,X2333) ),
inference(resolution,[status(thm)],[c12393,transitivity]) ).
cnf(c7,plain,
divide(identity,X13) = inverse(X13),
inference(resolution,[status(thm)],[inverse,symmetry]) ).
cnf(c13,plain,
( X62 != divide(identity,X63)
| X62 = inverse(X63) ),
inference(resolution,[status(thm)],[transitivity,c7]) ).
cnf(c304,plain,
divide(divide(X290,X290),X289) = divide(identity,X289),
inference(resolution,[status(thm)],[c44,c4]) ).
cnf(c2186,plain,
divide(divide(X296,X296),X295) = inverse(X295),
inference(resolution,[status(thm)],[c304,c13]) ).
cnf(c2291,plain,
inverse(X299) = divide(divide(X298,X298),X299),
inference(resolution,[status(thm)],[c2186,symmetry]) ).
cnf(c2375,plain,
inverse(inverse(X1702)) = inverse(divide(divide(X1703,X1703),X1702)),
inference(resolution,[status(thm)],[c2291,c2]) ).
cnf(single_axiom,axiom,
divide(divide(identity,divide(X10,X8)),divide(divide(X8,X9),X10)) = X9,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c10,plain,
( X56 != divide(divide(identity,divide(X58,X55)),divide(divide(X55,X57),X58))
| X56 = X57 ),
inference(resolution,[status(thm)],[transitivity,single_axiom]) ).
cnf(c20,plain,
inverse(divide(X52,X52)) = inverse(identity),
inference(resolution,[status(thm)],[c2,c4]) ).
cnf(c36,plain,
inverse(identity) = identity,
inference(resolution,[status(thm)],[c12,inverse]) ).
cnf(c49,plain,
( X54 != inverse(identity)
| X54 = identity ),
inference(resolution,[status(thm)],[c36,transitivity]) ).
cnf(c107,plain,
inverse(divide(X61,X61)) = identity,
inference(resolution,[status(thm)],[c49,c20]) ).
cnf(c119,plain,
identity = inverse(divide(X65,X65)),
inference(resolution,[status(thm)],[c107,symmetry]) ).
cnf(c147,plain,
identity = divide(identity,divide(X93,X93)),
inference(resolution,[status(thm)],[c15,c119]) ).
cnf(c319,plain,
divide(identity,X1286) = divide(divide(identity,divide(X1285,X1285)),X1286),
inference(resolution,[status(thm)],[c44,c147]) ).
cnf(c26088,plain,
divide(identity,divide(divide(X1288,X1287),X1288)) = X1287,
inference(resolution,[status(thm)],[c319,c10]) ).
cnf(c26165,plain,
X1289 = divide(identity,divide(divide(X1290,X1289),X1290)),
inference(resolution,[status(thm)],[c26088,symmetry]) ).
cnf(c26307,plain,
X1291 = inverse(divide(divide(X1292,X1291),X1292)),
inference(resolution,[status(thm)],[c26165,c13]) ).
cnf(c26372,plain,
inverse(divide(divide(X1293,X1294),X1293)) = X1294,
inference(resolution,[status(thm)],[c26307,symmetry]) ).
cnf(c26502,plain,
( X3098 != inverse(divide(divide(X3100,X3099),X3100))
| X3098 = X3099 ),
inference(resolution,[status(thm)],[c26372,transitivity]) ).
cnf(c73612,plain,
inverse(inverse(X3106)) = X3106,
inference(resolution,[status(thm)],[c26502,c2375]) ).
cnf(c73743,plain,
X3107 = inverse(inverse(X3107)),
inference(resolution,[status(thm)],[c73612,symmetry]) ).
cnf(c73941,plain,
X3115 = multiply(identity,X3115),
inference(resolution,[status(thm)],[c73743,c12642]) ).
cnf(c74109,plain,
multiply(identity,X3124) = X3124,
inference(resolution,[status(thm)],[c73941,symmetry]) ).
cnf(c74355,plain,
( X3241 != multiply(identity,X3242)
| X3241 = X3242 ),
inference(resolution,[status(thm)],[c74109,transitivity]) ).
cnf(c79195,plain,
multiply(multiply(inverse(X3383),X3383),X3382) = X3382,
inference(resolution,[status(thm)],[c74355,c18194]) ).
cnf(c83455,plain,
$false,
inference(resolution,[status(thm)],[c79195,prove_these_axioms_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GRP546-1 : TPTP v8.1.2. Released v2.6.0.
% 0.04/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Thu May 9 04:14:53 EDT 2024
% 0.14/0.37 % CPUTime :
% 57.68/57.84 % Version: 1.5
% 57.68/57.84 % SZS status Unsatisfiable
% 57.68/57.84 % SZS output start CNFRefutation
% See solution above
% 57.68/57.84
% 57.68/57.84 % Initial clauses : 11
% 57.68/57.84 % Processed clauses : 995
% 57.68/57.84 % Factors computed : 3
% 57.68/57.84 % Resolvents computed: 83558
% 57.68/57.84 % Tautologies deleted: 2
% 57.68/57.84 % Forward subsumed : 1771
% 57.68/57.84 % Backward subsumed : 48
% 57.68/57.84 % -------- CPU Time ---------
% 57.68/57.84 % User time : 57.282 s
% 57.68/57.84 % System time : 0.191 s
% 57.68/57.84 % Total time : 57.473 s
%------------------------------------------------------------------------------