%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP545-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n008.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 5.55s 5.77s
% Output : Refutation 5.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 21 ( 14 unt; 0 nHn; 7 RR)
% Number of literals : 30 ( 29 equ; 10 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 35 ( 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(symmetry,axiom,
( X5 != X4
| X4 = X5 ),
theory(equality) ).
cnf(transitivity,axiom,
( X16 != X15
| X15 != X17
| X16 = X17 ),
theory(equality) ).
cnf(multiply,axiom,
multiply(X18,X19) = divide(X18,divide(identity,X19)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c17,plain,
divide(X76,divide(identity,X77)) = multiply(X76,X77),
inference(resolution,[status(thm)],[multiply,symmetry]) ).
cnf(c169,plain,
( X580 != divide(X581,divide(identity,X582))
| X580 = multiply(X581,X582) ),
inference(resolution,[status(thm)],[c17,transitivity]) ).
cnf(identity,axiom,
identity = divide(X3,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
cnf(c3,plain,
divide(X7,X7) = identity,
inference(resolution,[status(thm)],[symmetry,identity]) ).
cnf(c15,plain,
( X33 != divide(X34,X34)
| X33 = identity ),
inference(resolution,[status(thm)],[transitivity,c3]) ).
cnf(inverse,axiom,
inverse(X12) = divide(identity,X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c0,axiom,
( X36 != X37
| X38 != X35
| divide(X36,X38) = divide(X37,X35) ),
theory(equality) ).
cnf(c42,plain,
( X131 != X132
| divide(X131,X133) = divide(X132,X133) ),
inference(resolution,[status(thm)],[c0,reflexivity]) ).
cnf(c286,plain,
divide(inverse(X931),X930) = divide(divide(identity,X931),X930),
inference(resolution,[status(thm)],[c42,inverse]) ).
cnf(c15748,plain,
divide(inverse(X932),divide(identity,X932)) = identity,
inference(resolution,[status(thm)],[c286,c15]) ).
cnf(c15796,plain,
identity = divide(inverse(X933),divide(identity,X933)),
inference(resolution,[status(thm)],[c15748,symmetry]) ).
cnf(c15929,plain,
identity = multiply(inverse(X934),X934),
inference(resolution,[status(thm)],[c15796,c169]) ).
cnf(c15958,plain,
multiply(inverse(X940),X940) = identity,
inference(resolution,[status(thm)],[c15929,symmetry]) ).
cnf(c15945,plain,
( X975 != identity
| X975 = multiply(inverse(X974),X974) ),
inference(resolution,[status(thm)],[c15929,transitivity]) ).
cnf(c16805,plain,
multiply(inverse(X1033),X1033) = multiply(inverse(X1034),X1034),
inference(resolution,[status(thm)],[c15945,c15958]) ).
cnf(c18512,plain,
$false,
inference(resolution,[status(thm)],[c16805,prove_these_axioms_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP545-1 : 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 : n008.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 04:20:23 EDT 2024
% 0.13/0.34 % CPUTime :
% 5.55/5.77 % Version: 1.5
% 5.55/5.77 % SZS status Unsatisfiable
% 5.55/5.77 % SZS output start CNFRefutation
% See solution above
% 5.55/5.77
% 5.55/5.77 % Initial clauses : 11
% 5.55/5.77 % Processed clauses : 336
% 5.55/5.77 % Factors computed : 3
% 5.55/5.77 % Resolvents computed: 18560
% 5.55/5.77 % Tautologies deleted: 2
% 5.55/5.77 % Forward subsumed : 544
% 5.55/5.77 % Backward subsumed : 8
% 5.55/5.77 % -------- CPU Time ---------
% 5.55/5.77 % User time : 5.367 s
% 5.55/5.77 % System time : 0.036 s
% 5.55/5.77 % Total time : 5.403 s
%------------------------------------------------------------------------------