%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO056-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n009.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 17:20:55 EDT 2024
% Result : Unsatisfiable 0.70s 0.90s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 19 ( 12 unt; 0 nHn; 11 RR)
% Number of literals : 28 ( 25 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 36 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_v_equals_reflection,negated_conjecture,
v != reflection(u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_equals_reflection) ).
cnf(symmetry,axiom,
( X12 != X11
| X11 = X12 ),
theory(equality) ).
cnf(transitivity,axiom,
( X49 != X48
| X48 != X47
| X49 = X47 ),
theory(equality) ).
cnf(reflection,axiom,
reflection(X45,X46) = extension(X45,X46,X45,X46),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-2.ax',reflection) ).
cnf(identity_for_equidistance,axiom,
( ~ equidistant(X16,X15,X14,X14)
| X16 = X15 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(segment_construction2,axiom,
equidistant(X25,extension(X26,X25,X24,X27),X24,X27),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(c14,plain,
X38 = extension(X37,X38,X36,X36),
inference(resolution,[status(thm)],[segment_construction2,identity_for_equidistance]) ).
cnf(c21,plain,
extension(X40,X39,X41,X41) = X39,
inference(resolution,[status(thm)],[c14,symmetry]) ).
cnf(c28,plain,
( X254 != extension(X257,X255,X256,X256)
| X254 = X255 ),
inference(resolution,[status(thm)],[transitivity,c21]) ).
cnf(c178,plain,
reflection(X269,X269) = X269,
inference(resolution,[status(thm)],[c28,reflection]) ).
cnf(c206,plain,
( X292 != reflection(X291,X291)
| X292 = X291 ),
inference(resolution,[status(thm)],[c178,transitivity]) ).
cnf(u_equals_v,plain,
u = v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_equals_v) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c5,axiom,
( X287 != X290
| X289 != X288
| reflection(X287,X289) = reflection(X290,X288) ),
theory(equality) ).
cnf(c279,plain,
( X443 != X444
| reflection(X443,X445) = reflection(X444,X445) ),
inference(resolution,[status(thm)],[c5,reflexivity]) ).
cnf(c566,plain,
reflection(u,X458) = reflection(v,X458),
inference(resolution,[status(thm)],[c279,u_equals_v]) ).
cnf(c644,plain,
reflection(u,v) = v,
inference(resolution,[status(thm)],[c566,c206]) ).
cnf(c674,plain,
v = reflection(u,v),
inference(resolution,[status(thm)],[c644,symmetry]) ).
cnf(c712,plain,
$false,
inference(resolution,[status(thm)],[c674,prove_v_equals_reflection]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO056-2 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.32 % Computer : n009.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 9 07:43:23 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.70/0.90 % Version: 1.5
% 0.70/0.90 % SZS status Unsatisfiable
% 0.70/0.90 % SZS output start CNFRefutation
% See solution above
% 0.70/0.90
% 0.70/0.90 % Initial clauses : 32
% 0.70/0.90 % Processed clauses : 97
% 0.70/0.90 % Factors computed : 40
% 0.70/0.90 % Resolvents computed: 674
% 0.70/0.90 % Tautologies deleted: 2
% 0.70/0.90 % Forward subsumed : 97
% 0.70/0.90 % Backward subsumed : 1
% 0.70/0.90 % -------- CPU Time ---------
% 0.70/0.90 % User time : 0.552 s
% 0.70/0.90 % System time : 0.015 s
% 0.70/0.90 % Total time : 0.567 s
%------------------------------------------------------------------------------