%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO022-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.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 17:20:48 EDT 2024
% Result : Unsatisfiable 0.67s 0.84s
% Output : Refutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 13 ( 0 equ; 5 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 : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_transitivity,negated_conjecture,
~ equidistant(u,v,y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_transitivity) ).
cnf(u_to_v_equals_w_to_x,plain,
equidistant(u,v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_w_to_x) ).
cnf(d2,axiom,
( ~ equidistant(X42,X40,X43,X41)
| equidistant(X43,X41,X42,X40) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).
cnf(c20,plain,
equidistant(w,x,u,v),
inference(resolution,[status(thm)],[d2,u_to_v_equals_w_to_x]) ).
cnf(transitivity_for_equidistance,axiom,
( ~ equidistant(X10,X11,X8,X9)
| ~ equidistant(X10,X11,X7,X12)
| equidistant(X8,X9,X7,X12) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
cnf(w_to_x_equals_y_to_z,plain,
equidistant(w,x,y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_to_x_equals_y_to_z) ).
cnf(c14,plain,
( ~ equidistant(w,x,X264,X265)
| equidistant(X264,X265,y,z) ),
inference(resolution,[status(thm)],[w_to_x_equals_y_to_z,transitivity_for_equidistance]) ).
cnf(c340,plain,
equidistant(u,v,y,z),
inference(resolution,[status(thm)],[c14,c20]) ).
cnf(c382,plain,
$false,
inference(resolution,[status(thm)],[c340,prove_transitivity]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : GEO022-3 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n020.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 08:20:38 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.67/0.84 % Version: 1.5
% 0.67/0.84 % SZS status Unsatisfiable
% 0.67/0.84 % SZS output start CNFRefutation
% See solution above
% 0.67/0.84
% 0.67/0.84 % Initial clauses : 39
% 0.67/0.84 % Processed clauses : 65
% 0.67/0.84 % Factors computed : 36
% 0.67/0.84 % Resolvents computed: 350
% 0.67/0.84 % Tautologies deleted: 2
% 0.67/0.84 % Forward subsumed : 132
% 0.67/0.84 % Backward subsumed : 0
% 0.67/0.84 % -------- CPU Time ---------
% 0.67/0.84 % User time : 0.485 s
% 0.67/0.84 % System time : 0.013 s
% 0.67/0.84 % Total time : 0.498 s
%------------------------------------------------------------------------------