%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO020-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n027.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 17:20:47 EDT 2024
% Result : Unsatisfiable 0.45s 0.61s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 8 RR)
% Number of literals : 12 ( 0 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_symmetry,negated_conjecture,
~ equidistant(x,w,u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_symmetry) ).
cnf(reflexivity_for_equidistance,axiom,
equidistant(X4,X3,X3,X4),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).
cnf(transitivity_for_equidistance,axiom,
( ~ equidistant(X8,X10,X6,X5)
| ~ equidistant(X8,X10,X7,X9)
| equidistant(X6,X5,X7,X9) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
cnf(c8,plain,
( ~ equidistant(X66,X65,X67,X68)
| equidistant(X67,X68,X65,X66) ),
inference(resolution,[status(thm)],[transitivity_for_equidistance,reflexivity_for_equidistance]) ).
cnf(u_to_v_equals_w_to_x,plain,
equidistant(u,v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_v_equals_w_to_x) ).
cnf(c35,plain,
equidistant(w,x,v,u),
inference(resolution,[status(thm)],[c8,u_to_v_equals_w_to_x]) ).
cnf(c42,plain,
equidistant(v,u,x,w),
inference(resolution,[status(thm)],[c35,c8]) ).
cnf(c45,plain,
equidistant(x,w,u,v),
inference(resolution,[status(thm)],[c42,c8]) ).
cnf(c49,plain,
$false,
inference(resolution,[status(thm)],[c45,prove_symmetry]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO020-2 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 9 07:43:38 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.45/0.61 % Version: 1.5
% 0.45/0.61 % SZS status Unsatisfiable
% 0.45/0.61 % SZS output start CNFRefutation
% See solution above
% 0.45/0.61
% 0.45/0.61 % Initial clauses : 30
% 0.45/0.61 % Processed clauses : 26
% 0.45/0.61 % Factors computed : 9
% 0.45/0.61 % Resolvents computed: 39
% 0.45/0.61 % Tautologies deleted: 2
% 0.45/0.61 % Forward subsumed : 8
% 0.45/0.61 % Backward subsumed : 1
% 0.45/0.61 % -------- CPU Time ---------
% 0.45/0.61 % User time : 0.252 s
% 0.45/0.61 % System time : 0.011 s
% 0.45/0.61 % Total time : 0.263 s
%------------------------------------------------------------------------------