%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP139-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 143.05s 143.34s
% Output : Refutation 143.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of clauses : 26 ( 18 unt; 0 nHn; 20 RR)
% Number of literals : 36 ( 35 equ; 11 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; 3 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_ax_glb1b,negated_conjecture,
greatest_lower_bound(greatest_lower_bound(a,b),c) != c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_glb1b) ).
cnf(symmetry,axiom,
( X6 != X7
| X7 = X6 ),
theory(equality) ).
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,
( X53 != X55
| X55 != X54
| X53 = X54 ),
theory(equality) ).
cnf(c44,plain,
( X242 != greatest_lower_bound(X240,X241)
| X242 = greatest_lower_bound(X241,X240) ),
inference(resolution,[status(thm)],[transitivity,symmetry_of_glb]) ).
cnf(associativity_of_glb,axiom,
greatest_lower_bound(X25,greatest_lower_bound(X27,X26)) = greatest_lower_bound(greatest_lower_bound(X25,X27),X26),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',associativity_of_glb) ).
cnf(c16,plain,
greatest_lower_bound(greatest_lower_bound(X129,X128),X130) = greatest_lower_bound(X129,greatest_lower_bound(X128,X130)),
inference(resolution,[status(thm)],[associativity_of_glb,symmetry]) ).
cnf(c373,plain,
( X2336 != greatest_lower_bound(greatest_lower_bound(X2334,X2337),X2335)
| X2336 = greatest_lower_bound(X2334,greatest_lower_bound(X2337,X2335)) ),
inference(resolution,[status(thm)],[c16,transitivity]) ).
cnf(ax_glb1b_2_2,plain,
greatest_lower_bound(b,c) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_glb1b_2_2) ).
cnf(c19,plain,
c = greatest_lower_bound(b,c),
inference(resolution,[status(thm)],[ax_glb1b_2_2,symmetry]) ).
cnf(c993,plain,
c = greatest_lower_bound(c,b),
inference(resolution,[status(thm)],[c44,c19]) ).
cnf(c1087,plain,
greatest_lower_bound(c,b) = c,
inference(resolution,[status(thm)],[c993,symmetry]) ).
cnf(c1128,plain,
( X1729 != greatest_lower_bound(c,b)
| X1729 = c ),
inference(resolution,[status(thm)],[c1087,transitivity]) ).
cnf(ax_glb1b_1_1,plain,
greatest_lower_bound(a,c) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_glb1b_1_1) ).
cnf(c40,plain,
( X210 != greatest_lower_bound(a,c)
| X210 = c ),
inference(resolution,[status(thm)],[transitivity,ax_glb1b_1_1]) ).
cnf(c777,plain,
greatest_lower_bound(c,a) = c,
inference(resolution,[status(thm)],[c40,symmetry_of_glb]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c2,axiom,
( X102 != X103
| X105 != X104
| greatest_lower_bound(X102,X105) = greatest_lower_bound(X103,X104) ),
theory(equality) ).
cnf(c235,plain,
( X639 != X638
| greatest_lower_bound(X639,X640) = greatest_lower_bound(X638,X640) ),
inference(resolution,[status(thm)],[c2,reflexivity]) ).
cnf(c3484,plain,
greatest_lower_bound(greatest_lower_bound(c,a),X4755) = greatest_lower_bound(c,X4755),
inference(resolution,[status(thm)],[c235,c777]) ).
cnf(c230573,plain,
greatest_lower_bound(greatest_lower_bound(c,a),b) = c,
inference(resolution,[status(thm)],[c3484,c1128]) ).
cnf(c230953,plain,
c = greatest_lower_bound(greatest_lower_bound(c,a),b),
inference(resolution,[status(thm)],[c230573,symmetry]) ).
cnf(c231154,plain,
c = greatest_lower_bound(c,greatest_lower_bound(a,b)),
inference(resolution,[status(thm)],[c230953,c373]) ).
cnf(c231468,plain,
c = greatest_lower_bound(greatest_lower_bound(a,b),c),
inference(resolution,[status(thm)],[c231154,c44]) ).
cnf(c232498,plain,
greatest_lower_bound(greatest_lower_bound(a,b),c) = c,
inference(resolution,[status(thm)],[c231468,symmetry]) ).
cnf(c233693,plain,
$false,
inference(resolution,[status(thm)],[c232498,prove_ax_glb1b]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP139-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 9 04:08:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 143.05/143.34 % Version: 1.5
% 143.05/143.34 % SZS status Unsatisfiable
% 143.05/143.34 % SZS output start CNFRefutation
% See solution above
% 143.05/143.34
% 143.05/143.34 % Initial clauses : 25
% 143.05/143.34 % Processed clauses : 1291
% 143.05/143.34 % Factors computed : 4
% 143.05/143.34 % Resolvents computed: 233888
% 143.05/143.34 % Tautologies deleted: 2
% 143.05/143.34 % Forward subsumed : 2202
% 143.05/143.34 % Backward subsumed : 7
% 143.05/143.34 % -------- CPU Time ---------
% 143.05/143.34 % User time : 142.447 s
% 143.05/143.34 % System time : 0.440 s
% 143.05/143.34 % Total time : 142.887 s
%------------------------------------------------------------------------------