%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO022-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 0.59s 0.79s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 12 ( 8 unt; 0 nHn; 10 RR)
% Number of literals : 17 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 22 ( 3 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(transitivity_for_equidistance,axiom,
( ~ equidistant(X9,X6,X7,X5)
| ~ equidistant(X9,X6,X10,X8)
| equidistant(X7,X5,X10,X8) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
cnf(segment_construction2,axiom,
equidistant(X26,extension(X24,X26,X27,X25),X27,X25),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(c7,plain,
( ~ equidistant(X59,X56,X57,X58)
| equidistant(X57,X58,X57,X58) ),
inference(factor,[status(thm)],[transitivity_for_equidistance]) ).
cnf(c31,plain,
equidistant(X60,X61,X60,X61),
inference(resolution,[status(thm)],[c7,segment_construction2]) ).
cnf(c34,plain,
( ~ equidistant(X113,X114,X112,X115)
| equidistant(X112,X115,X113,X114) ),
inference(resolution,[status(thm)],[c31,transitivity_for_equidistance]) ).
cnf(c94,plain,
equidistant(w,x,u,v),
inference(resolution,[status(thm)],[c34,u_to_v_equals_w_to_x]) ).
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(c12,plain,
( ~ equidistant(w,x,X308,X309)
| equidistant(X308,X309,y,z) ),
inference(resolution,[status(thm)],[w_to_x_equals_y_to_z,transitivity_for_equidistance]) ).
cnf(c271,plain,
equidistant(u,v,y,z),
inference(resolution,[status(thm)],[c12,c94]) ).
cnf(c279,plain,
$false,
inference(resolution,[status(thm)],[c271,prove_transitivity]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO022-2 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 9 07:48:53 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.59/0.79 % Version: 1.5
% 0.59/0.79 % SZS status Unsatisfiable
% 0.59/0.79 % SZS output start CNFRefutation
% See solution above
% 0.59/0.79
% 0.59/0.79 % Initial clauses : 31
% 0.59/0.79 % Processed clauses : 66
% 0.59/0.79 % Factors computed : 34
% 0.59/0.79 % Resolvents computed: 243
% 0.59/0.79 % Tautologies deleted: 2
% 0.59/0.79 % Forward subsumed : 55
% 0.59/0.79 % Backward subsumed : 1
% 0.59/0.79 % -------- CPU Time ---------
% 0.59/0.79 % User time : 0.424 s
% 0.59/0.79 % System time : 0.025 s
% 0.59/0.79 % Total time : 0.449 s
%------------------------------------------------------------------------------