TSTP Solution File: GEO018-2 by PyRes---1.3
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%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO018-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n010.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 : 600s
% DateTime : Sat Jul 16 05:57:40 EDT 2022
% Result : Unsatisfiable 0.41s 0.63s
% Output : Refutation 0.41s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_symmetry,negated_conjecture,
~ equidistant(v,u,x,w),
input ).
cnf(reflexivity_for_equidistance,axiom,
equidistant(X3,X4,X4,X3),
input ).
cnf(transitivity_for_equidistance,axiom,
( ~ equidistant(X9,X10,X6,X8)
| ~ equidistant(X9,X10,X7,X5)
| equidistant(X6,X8,X7,X5) ),
input ).
cnf(c7,plain,
( ~ equidistant(X52,X51,X53,X50)
| equidistant(X53,X50,X51,X52) ),
inference(resolution,status(thm),[transitivity_for_equidistance,reflexivity_for_equidistance]) ).
cnf(u_to_v_equals_w_to_x,plain,
equidistant(u,v,w,x),
input ).
cnf(c21,plain,
equidistant(w,x,v,u),
inference(resolution,status(thm),[c7,u_to_v_equals_w_to_x]) ).
cnf(c30,plain,
equidistant(v,u,x,w),
inference(resolution,status(thm),[c21,c7]) ).
cnf(c32,plain,
$false,
inference(resolution,status(thm),[c30,prove_symmetry]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GEO018-2 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n010.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 14:12:08 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.41/0.63 # Version: 1.3
% 0.41/0.63 # SZS status Unsatisfiable
% 0.41/0.63 # SZS output start CNFRefutation
% See solution above
% 0.41/0.63
% 0.41/0.63 # Initial clauses : 30
% 0.41/0.63 # Processed clauses : 22
% 0.41/0.63 # Factors computed : 0
% 0.41/0.63 # Resolvents computed: 29
% 0.41/0.63 # Tautologies deleted: 1
% 0.41/0.63 # Forward subsumed : 5
% 0.41/0.63 # Backward subsumed : 0
% 0.41/0.63 # -------- CPU Time ---------
% 0.41/0.63 # User time : 0.242 s
% 0.41/0.63 # System time : 0.019 s
% 0.41/0.63 # Total time : 0.261 s
%------------------------------------------------------------------------------