%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP145-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n007.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 17:23:17 EDT 2024
% Result : Unsatisfiable 2.33s 2.55s
% Output : Refutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_ax_glb3b,negated_conjecture,
greatest_lower_bound(greatest_lower_bound(a,b),b) != greatest_lower_bound(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_glb3b) ).
cnf(symmetry_of_glb,axiom,
greatest_lower_bound(X19,X20) = greatest_lower_bound(X20,X19),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',symmetry_of_glb) ).
cnf(transitivity,axiom,
( X48 != X49
| X49 != X47
| X48 = X47 ),
theory(equality) ).
cnf(c40,plain,
( X255 != greatest_lower_bound(X254,X253)
| X255 = greatest_lower_bound(X253,X254) ),
inference(resolution,[status(thm)],[transitivity,symmetry_of_glb]) ).
cnf(symmetry,axiom,
( X6 != X7
| X7 = X6 ),
theory(equality) ).
cnf(associativity_of_glb,axiom,
greatest_lower_bound(X26,greatest_lower_bound(X27,X25)) = greatest_lower_bound(greatest_lower_bound(X26,X27),X25),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',associativity_of_glb) ).
cnf(c33,plain,
( X200 != greatest_lower_bound(X199,greatest_lower_bound(X201,X198))
| X200 = greatest_lower_bound(greatest_lower_bound(X199,X201),X198) ),
inference(resolution,[status(thm)],[transitivity,associativity_of_glb]) ).
cnf(idempotence_of_gld,axiom,
greatest_lower_bound(X4,X4) = X4,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',idempotence_of_gld) ).
cnf(c5,plain,
X10 = greatest_lower_bound(X10,X10),
inference(resolution,[status(thm)],[symmetry,idempotence_of_gld]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c2,axiom,
( X110 != X111
| X108 != X109
| greatest_lower_bound(X110,X108) = greatest_lower_bound(X111,X109) ),
theory(equality) ).
cnf(c239,plain,
( X634 != X633
| greatest_lower_bound(X634,X632) = greatest_lower_bound(X633,X632) ),
inference(resolution,[status(thm)],[c2,reflexivity]) ).
cnf(c3109,plain,
greatest_lower_bound(X655,X656) = greatest_lower_bound(greatest_lower_bound(X655,X655),X656),
inference(resolution,[status(thm)],[c239,c5]) ).
cnf(c3370,plain,
greatest_lower_bound(X703,X702) = greatest_lower_bound(X702,greatest_lower_bound(X703,X703)),
inference(resolution,[status(thm)],[c3109,c40]) ).
cnf(c3623,plain,
greatest_lower_bound(X760,X759) = greatest_lower_bound(greatest_lower_bound(X759,X760),X760),
inference(resolution,[status(thm)],[c3370,c33]) ).
cnf(c4017,plain,
greatest_lower_bound(greatest_lower_bound(X830,X831),X831) = greatest_lower_bound(X831,X830),
inference(resolution,[status(thm)],[c3623,symmetry]) ).
cnf(c5594,plain,
greatest_lower_bound(greatest_lower_bound(X899,X900),X900) = greatest_lower_bound(X899,X900),
inference(resolution,[status(thm)],[c4017,c40]) ).
cnf(c6798,plain,
$false,
inference(resolution,[status(thm)],[c5594,prove_ax_glb3b]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP145-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 9 05:02:08 EDT 2024
% 0.13/0.36 % CPUTime :
% 2.33/2.55 % Version: 1.5
% 2.33/2.55 % SZS status Unsatisfiable
% 2.33/2.55 % SZS output start CNFRefutation
% See solution above
% 2.33/2.55
% 2.33/2.55 % Initial clauses : 23
% 2.33/2.55 % Processed clauses : 254
% 2.33/2.55 % Factors computed : 4
% 2.33/2.55 % Resolvents computed: 6998
% 2.33/2.55 % Tautologies deleted: 2
% 2.33/2.55 % Forward subsumed : 302
% 2.33/2.55 % Backward subsumed : 3
% 2.33/2.55 % -------- CPU Time ---------
% 2.33/2.55 % User time : 2.161 s
% 2.33/2.55 % System time : 0.028 s
% 2.33/2.55 % Total time : 2.189 s
%------------------------------------------------------------------------------