%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO056-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n017.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 1.20s 1.41s
% Output : Refutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 10 unt; 0 nHn; 10 RR)
% Number of literals : 24 ( 21 equ; 9 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_v_equals_reflection,negated_conjecture,
v != reflection(u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_equals_reflection) ).
cnf(symmetry,axiom,
( X15 != X16
| X16 = X15 ),
theory(equality) ).
cnf(identity_for_equidistance,axiom,
( ~ equidistant(X18,X20,X19,X19)
| X18 = X20 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(r2_2,axiom,
equidistant(X32,reflection(X33,X32),X33,X32),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r2_2) ).
cnf(c18,plain,
X34 = reflection(X34,X34),
inference(resolution,[status(thm)],[r2_2,identity_for_equidistance]) ).
cnf(c19,plain,
reflection(X35,X35) = X35,
inference(resolution,[status(thm)],[c18,symmetry]) ).
cnf(transitivity,axiom,
( X316 != X318
| X318 != X317
| X316 = X317 ),
theory(equality) ).
cnf(c273,plain,
( X654 != reflection(X655,X655)
| X654 = X655 ),
inference(resolution,[status(thm)],[transitivity,c19]) ).
cnf(u_equals_v,plain,
u = v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_equals_v) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c5,axiom,
( X427 != X425
| X426 != X424
| reflection(X427,X426) = reflection(X425,X424) ),
theory(equality) ).
cnf(c353,plain,
( X1352 != X1353
| reflection(X1352,X1354) = reflection(X1353,X1354) ),
inference(resolution,[status(thm)],[c5,reflexivity]) ).
cnf(c1570,plain,
reflection(u,X1368) = reflection(v,X1368),
inference(resolution,[status(thm)],[c353,u_equals_v]) ).
cnf(c1652,plain,
reflection(u,v) = v,
inference(resolution,[status(thm)],[c1570,c273]) ).
cnf(c1664,plain,
v = reflection(u,v),
inference(resolution,[status(thm)],[c1652,symmetry]) ).
cnf(c1683,plain,
$false,
inference(resolution,[status(thm)],[c1664,prove_v_equals_reflection]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO056-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n017.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 08:19:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 1.20/1.41 % Version: 1.5
% 1.20/1.41 % SZS status Unsatisfiable
% 1.20/1.41 % SZS output start CNFRefutation
% See solution above
% 1.20/1.41
% 1.20/1.41 % Initial clauses : 45
% 1.20/1.41 % Processed clauses : 166
% 1.20/1.41 % Factors computed : 64
% 1.20/1.41 % Resolvents computed: 1617
% 1.20/1.41 % Tautologies deleted: 4
% 1.20/1.41 % Forward subsumed : 355
% 1.20/1.41 % Backward subsumed : 0
% 1.20/1.41 % -------- CPU Time ---------
% 1.20/1.41 % User time : 1.042 s
% 1.20/1.41 % System time : 0.019 s
% 1.20/1.41 % Total time : 1.061 s
%------------------------------------------------------------------------------