%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP460-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n026.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 4.88s 5.03s
% Output : Refutation 4.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 18 ( 12 unt; 0 nHn; 7 RR)
% Number of literals : 26 ( 25 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 : 32 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(identity,axiom,
identity = divide(X3,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
cnf(symmetry,axiom,
( X5 != X4
| X4 = X5 ),
theory(equality) ).
cnf(c4,plain,
divide(X7,X7) = identity,
inference(resolution,[status(thm)],[symmetry,identity]) ).
cnf(transitivity,axiom,
( X19 != X17
| X17 != X18
| X19 = X18 ),
theory(equality) ).
cnf(c11,plain,
( X31 != divide(X30,X30)
| X31 = identity ),
inference(resolution,[status(thm)],[transitivity,c4]) ).
cnf(multiply,axiom,
multiply(X15,X16) = divide(X15,divide(identity,X16)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c9,plain,
divide(X52,divide(identity,X51)) = multiply(X52,X51),
inference(resolution,[status(thm)],[multiply,symmetry]) ).
cnf(c85,plain,
( X366 != divide(X368,divide(identity,X367))
| X366 = multiply(X368,X367) ),
inference(resolution,[status(thm)],[c9,transitivity]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(inverse,axiom,
inverse(X12) = divide(identity,X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
cnf(c0,axiom,
( X27 != X26
| X29 != X28
| divide(X27,X29) = divide(X26,X28) ),
theory(equality) ).
cnf(c27,plain,
( X114 != X113
| divide(X114,inverse(X112)) = divide(X113,divide(identity,X112)) ),
inference(resolution,[status(thm)],[c0,inverse]) ).
cnf(c301,plain,
divide(X932,inverse(X931)) = divide(X932,divide(identity,X931)),
inference(resolution,[status(thm)],[c27,reflexivity]) ).
cnf(c15718,plain,
divide(X933,inverse(X934)) = multiply(X933,X934),
inference(resolution,[status(thm)],[c301,c85]) ).
cnf(c15769,plain,
multiply(X936,X935) = divide(X936,inverse(X935)),
inference(resolution,[status(thm)],[c15718,symmetry]) ).
cnf(c15823,plain,
multiply(inverse(X937),X937) = identity,
inference(resolution,[status(thm)],[c15769,c11]) ).
cnf(c15963,plain,
$false,
inference(resolution,[status(thm)],[c15823,prove_these_axioms_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP460-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 9 04:41:08 EDT 2024
% 0.14/0.34 % CPUTime :
% 4.88/5.03 % Version: 1.5
% 4.88/5.03 % SZS status Unsatisfiable
% 4.88/5.03 % SZS output start CNFRefutation
% See solution above
% 4.88/5.03
% 4.88/5.03 % Initial clauses : 11
% 4.88/5.03 % Processed clauses : 312
% 4.88/5.03 % Factors computed : 3
% 4.88/5.03 % Resolvents computed: 16045
% 4.88/5.03 % Tautologies deleted: 2
% 4.88/5.03 % Forward subsumed : 502
% 4.88/5.03 % Backward subsumed : 5
% 4.88/5.03 % -------- CPU Time ---------
% 4.88/5.03 % User time : 4.646 s
% 4.88/5.03 % System time : 0.037 s
% 4.88/5.03 % Total time : 4.683 s
%------------------------------------------------------------------------------