%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO003-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n032.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 17:20:42 EDT 2024
% Result : Unsatisfiable 18.04s 18.22s
% Output : Refutation 18.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 13 unt; 0 nHn; 11 RR)
% Number of literals : 40 ( 12 equ; 18 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-4 aty)
% Number of variables : 85 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_b_between_a_and_b,negated_conjecture,
~ between(a,b,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_between_a_and_b) ).
cnf(identity_for_equidistance,axiom,
( ~ equidistant(X18,X16,X17,X17)
| X18 = X16 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(reflexivity_for_equidistance,axiom,
equidistant(X4,X3,X3,X4),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).
cnf(transitivity_for_equidistance,axiom,
( ~ equidistant(X6,X9,X8,X10)
| ~ equidistant(X6,X9,X5,X7)
| equidistant(X8,X10,X5,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
cnf(c8,plain,
( ~ equidistant(X68,X67,X66,X65)
| equidistant(X66,X65,X67,X68) ),
inference(resolution,[status(thm)],[transitivity_for_equidistance,reflexivity_for_equidistance]) ).
cnf(segment_construction2,axiom,
equidistant(X25,extension(X27,X25,X26,X24),X26,X24),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(c31,plain,
equidistant(X79,X80,extension(X81,X78,X79,X80),X78),
inference(resolution,[status(thm)],[c8,segment_construction2]) ).
cnf(c36,plain,
equidistant(extension(X83,X82,X85,X84),X82,X84,X85),
inference(resolution,[status(thm)],[c31,c8]) ).
cnf(c7,plain,
( ~ equidistant(X51,X54,X52,X53)
| equidistant(X52,X53,X52,X53) ),
inference(factor,[status(thm)],[transitivity_for_equidistance]) ).
cnf(c24,plain,
equidistant(X55,X56,X55,X56),
inference(resolution,[status(thm)],[c7,segment_construction2]) ).
cnf(c26,plain,
( ~ equidistant(X104,X105,X103,X102)
| equidistant(X103,X102,X104,X105) ),
inference(resolution,[status(thm)],[c24,transitivity_for_equidistance]) ).
cnf(c52,plain,
equidistant(X110,X112,extension(X113,X111,X112,X110),X111),
inference(resolution,[status(thm)],[c26,c36]) ).
cnf(c11,plain,
( ~ equidistant(X282,extension(X284,X282,X283,X281),X280,X279)
| equidistant(X280,X279,X283,X281) ),
inference(resolution,[status(thm)],[segment_construction2,transitivity_for_equidistance]) ).
cnf(c159,plain,
equidistant(extension(X341,X342,extension(X343,X339,X340,X338),X339),X342,X340,X338),
inference(resolution,[status(thm)],[c11,c52]) ).
cnf(c207,plain,
extension(X348,X347,extension(X346,X345,X344,X344),X345) = X347,
inference(resolution,[status(thm)],[c159,identity_for_equidistance]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(segment_construction1,axiom,
between(X22,X20,extension(X22,X20,X21,X19)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
cnf(c6,axiom,
( X442 != X440
| X444 != X439
| X441 != X443
| ~ between(X442,X444,X441)
| between(X440,X439,X443) ),
theory(equality) ).
cnf(c306,plain,
( X6656 != X6652
| X6657 != X6654
| extension(X6656,X6657,X6653,X6655) != X6651
| between(X6652,X6654,X6651) ),
inference(resolution,[status(thm)],[c6,segment_construction1]) ).
cnf(c17643,plain,
( X6809 != X6810
| X6808 != X6807
| between(X6810,X6807,X6808) ),
inference(resolution,[status(thm)],[c306,c207]) ).
cnf(c18452,plain,
( X6827 != X6826
| between(X6826,X6828,X6828) ),
inference(resolution,[status(thm)],[c17643,reflexivity]) ).
cnf(c18561,plain,
between(X6829,X6830,X6830),
inference(resolution,[status(thm)],[c18452,c207]) ).
cnf(c18617,plain,
$false,
inference(resolution,[status(thm)],[c18561,prove_b_between_a_and_b]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO003-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.11 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu May 9 07:53:52 EDT 2024
% 0.11/0.31 % CPUTime :
% 18.04/18.22 % Version: 1.5
% 18.04/18.22 % SZS status Unsatisfiable
% 18.04/18.22 % SZS output start CNFRefutation
% See solution above
% 18.04/18.22
% 18.04/18.22 % Initial clauses : 29
% 18.04/18.22 % Processed clauses : 466
% 18.04/18.22 % Factors computed : 340
% 18.04/18.22 % Resolvents computed: 18287
% 18.04/18.22 % Tautologies deleted: 2
% 18.04/18.22 % Forward subsumed : 808
% 18.04/18.22 % Backward subsumed : 65
% 18.04/18.22 % -------- CPU Time ---------
% 18.04/18.22 % User time : 17.845 s
% 18.04/18.22 % System time : 0.060 s
% 18.04/18.22 % Total time : 17.905 s
%------------------------------------------------------------------------------