%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : BOO011-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n005.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 17:16:45 EDT 2024
% Result : Unsatisfiable 0.43s 0.63s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 13 ( 9 unt; 0 nHn; 8 RR)
% Number of literals : 18 ( 17 equ; 6 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_inverse_of_1_is_0,negated_conjecture,
inverse(additive_identity) != multiplicative_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_of_1_is_0) ).
cnf(symmetry,axiom,
( X6 != X5
| X5 = X6 ),
theory(equality) ).
cnf(additive_id1,axiom,
add(X3,additive_identity) = X3,
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',additive_id1) ).
cnf(transitivity,axiom,
( X31 != X30
| X30 != X29
| X31 = X29 ),
theory(equality) ).
cnf(c16,plain,
( X42 != add(X41,additive_identity)
| X42 = X41 ),
inference(resolution,[status(thm)],[transitivity,additive_id1]) ).
cnf(additive_inverse1,axiom,
add(X16,inverse(X16)) = multiplicative_identity,
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',additive_inverse1) ).
cnf(c10,plain,
multiplicative_identity = add(X22,inverse(X22)),
inference(resolution,[status(thm)],[additive_inverse1,symmetry]) ).
cnf(commutativity_of_add,axiom,
add(X8,X7) = add(X7,X8),
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',commutativity_of_add) ).
cnf(c20,plain,
( X83 != add(X81,X82)
| X83 = add(X82,X81) ),
inference(resolution,[status(thm)],[transitivity,commutativity_of_add]) ).
cnf(c166,plain,
multiplicative_identity = add(inverse(X93),X93),
inference(resolution,[status(thm)],[c20,c10]) ).
cnf(c203,plain,
multiplicative_identity = inverse(additive_identity),
inference(resolution,[status(thm)],[c166,c16]) ).
cnf(c211,plain,
inverse(additive_identity) = multiplicative_identity,
inference(resolution,[status(thm)],[c203,symmetry]) ).
cnf(c224,plain,
$false,
inference(resolution,[status(thm)],[c211,prove_inverse_of_1_is_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : BOO011-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed May 8 22:19:53 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.43/0.63 % Version: 1.5
% 0.43/0.63 % SZS status Unsatisfiable
% 0.43/0.63 % SZS output start CNFRefutation
% See solution above
% 0.43/0.63
% 0.43/0.63 % Initial clauses : 15
% 0.43/0.63 % Processed clauses : 38
% 0.43/0.63 % Factors computed : 3
% 0.43/0.63 % Resolvents computed: 224
% 0.43/0.63 % Tautologies deleted: 2
% 0.43/0.63 % Forward subsumed : 27
% 0.43/0.63 % Backward subsumed : 0
% 0.43/0.63 % -------- CPU Time ---------
% 0.43/0.63 % User time : 0.265 s
% 0.43/0.63 % System time : 0.026 s
% 0.43/0.63 % Total time : 0.290 s
%------------------------------------------------------------------------------