%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP463-1 : 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 17:23:51 EDT 2024
% Result : Unsatisfiable 5.20s 5.41s
% Output : Refutation 5.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 19 ( 13 unt; 0 nHn; 7 RR)
% Number of literals : 27 ( 26 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 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 : 31 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(symmetry,axiom,
( X4 != X5
| X5 = X4 ),
theory(equality) ).
cnf(transitivity,axiom,
( X17 != X18
| X18 != X19
| X17 = X19 ),
theory(equality) ).
cnf(multiply,axiom,
multiply(X16,X15) = divide(X16,divide(identity,X15)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(c9,plain,
divide(X51,divide(identity,X52)) = multiply(X51,X52),
inference(resolution,[status(thm)],[multiply,symmetry]) ).
cnf(c86,plain,
( X369 != divide(X368,divide(identity,X370))
| X369 = multiply(X368,X370) ),
inference(resolution,[status(thm)],[c9,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(c14,plain,
( X38 != divide(X37,X37)
| X38 = identity ),
inference(resolution,[status(thm)],[transitivity,c4]) ).
cnf(inverse,axiom,
inverse(X12) = divide(identity,X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c0,axiom,
( X26 != X29
| X27 != X28
| divide(X26,X27) = divide(X29,X28) ),
theory(equality) ).
cnf(c31,plain,
( X120 != X119
| divide(X120,X121) = divide(X119,X121) ),
inference(resolution,[status(thm)],[c0,reflexivity]) ).
cnf(c351,plain,
divide(inverse(X981),X982) = divide(divide(identity,X981),X982),
inference(resolution,[status(thm)],[c31,inverse]) ).
cnf(c17070,plain,
divide(inverse(X983),divide(identity,X983)) = identity,
inference(resolution,[status(thm)],[c351,c14]) ).
cnf(c17143,plain,
identity = divide(inverse(X986),divide(identity,X986)),
inference(resolution,[status(thm)],[c17070,symmetry]) ).
cnf(c17304,plain,
identity = multiply(inverse(X987),X987),
inference(resolution,[status(thm)],[c17143,c86]) ).
cnf(c17376,plain,
multiply(inverse(X988),X988) = identity,
inference(resolution,[status(thm)],[c17304,symmetry]) ).
cnf(c17520,plain,
$false,
inference(resolution,[status(thm)],[c17376,prove_these_axioms_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : GRP463-1 : TPTP v8.1.2. Released v2.6.0.
% 0.09/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.37 % Computer : n014.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % 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 04:32:08 EDT 2024
% 0.14/0.37 % CPUTime :
% 5.20/5.41 % Version: 1.5
% 5.20/5.41 % SZS status Unsatisfiable
% 5.20/5.41 % SZS output start CNFRefutation
% See solution above
% 5.20/5.41
% 5.20/5.41 % Initial clauses : 11
% 5.20/5.41 % Processed clauses : 330
% 5.20/5.41 % Factors computed : 3
% 5.20/5.41 % Resolvents computed: 17515
% 5.20/5.41 % Tautologies deleted: 2
% 5.20/5.41 % Forward subsumed : 511
% 5.20/5.41 % Backward subsumed : 4
% 5.20/5.41 % -------- CPU Time ---------
% 5.20/5.41 % User time : 4.996 s
% 5.20/5.41 % System time : 0.042 s
% 5.20/5.41 % Total time : 5.038 s
%------------------------------------------------------------------------------