%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP541-1 : 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 17:24:00 EDT 2024
% Result : Unsatisfiable 4.94s 5.16s
% Output : Refutation 4.94s
% 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/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(symmetry,axiom,
( X4 != X5
| X5 = X4 ),
theory(equality) ).
cnf(transitivity,axiom,
( X15 != X17
| X17 != X16
| X15 = X16 ),
theory(equality) ).
cnf(multiply,axiom,
multiply(X18,X19) = divide(X18,divide(identity,X19)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(c17,plain,
divide(X78,divide(identity,X77)) = multiply(X78,X77),
inference(resolution,[status(thm)],[multiply,symmetry]) ).
cnf(c162,plain,
( X554 != divide(X556,divide(identity,X555))
| X554 = multiply(X556,X555) ),
inference(resolution,[status(thm)],[c17,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(c10,plain,
( X26 != divide(X27,X27)
| X26 = 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,
( X32 != X31
| X29 != X30
| divide(X32,X29) = divide(X31,X30) ),
theory(equality) ).
cnf(c42,plain,
( X114 != X115
| divide(X114,X113) = divide(X115,X113) ),
inference(resolution,[status(thm)],[c0,reflexivity]) ).
cnf(c264,plain,
divide(inverse(X924),X923) = divide(divide(identity,X924),X923),
inference(resolution,[status(thm)],[c42,inverse]) ).
cnf(c15348,plain,
divide(inverse(X925),divide(identity,X925)) = identity,
inference(resolution,[status(thm)],[c264,c10]) ).
cnf(c15463,plain,
identity = divide(inverse(X926),divide(identity,X926)),
inference(resolution,[status(thm)],[c15348,symmetry]) ).
cnf(c15547,plain,
identity = multiply(inverse(X930),X930),
inference(resolution,[status(thm)],[c15463,c162]) ).
cnf(c15812,plain,
multiply(inverse(X931),X931) = identity,
inference(resolution,[status(thm)],[c15547,symmetry]) ).
cnf(c15832,plain,
( X965 != identity
| X965 = multiply(inverse(X964),X964) ),
inference(resolution,[status(thm)],[c15547,transitivity]) ).
cnf(c16645,plain,
multiply(inverse(X1031),X1031) = multiply(inverse(X1030),X1030),
inference(resolution,[status(thm)],[c15832,c15812]) ).
cnf(c18480,plain,
$false,
inference(resolution,[status(thm)],[c16645,prove_these_axioms_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : GRP541-1 : TPTP v8.1.2. Released v2.6.0.
% 0.04/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.32 % Computer : n008.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu May 9 04:30:53 EDT 2024
% 0.12/0.32 % CPUTime :
% 4.94/5.16 % Version: 1.5
% 4.94/5.16 % SZS status Unsatisfiable
% 4.94/5.16 % SZS output start CNFRefutation
% See solution above
% 4.94/5.16
% 4.94/5.16 % Initial clauses : 11
% 4.94/5.16 % Processed clauses : 336
% 4.94/5.16 % Factors computed : 3
% 4.94/5.16 % Resolvents computed: 18556
% 4.94/5.16 % Tautologies deleted: 2
% 4.94/5.16 % Forward subsumed : 540
% 4.94/5.16 % Backward subsumed : 8
% 4.94/5.16 % -------- CPU Time ---------
% 4.94/5.16 % User time : 4.772 s
% 4.94/5.16 % System time : 0.044 s
% 4.94/5.16 % Total time : 4.816 s
%------------------------------------------------------------------------------