%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO039-2 : 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 17:20:51 EDT 2024
% Result : Unsatisfiable 18.70s 18.87s
% Output : Refutation 18.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of clauses : 28 ( 16 unt; 0 nHn; 22 RR)
% Number of literals : 50 ( 33 equ; 23 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 52 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_corollary,negated_conjecture,
~ between(v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(symmetry,axiom,
( X11 != X12
| X12 = X11 ),
theory(equality) ).
cnf(u_is_x,plain,
u = x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_x) ).
cnf(transitivity,axiom,
( X37 != X38
| X38 != X39
| X37 = X39 ),
theory(equality) ).
cnf(c20,plain,
( X52 != u
| X52 = x ),
inference(resolution,[status(thm)],[transitivity,u_is_x]) ).
cnf(identity_for_betweeness,axiom,
( ~ between(X18,X19,X18)
| X18 = X19 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
cnf(c9,plain,
x = u,
inference(resolution,[status(thm)],[symmetry,u_is_x]) ).
cnf(w_between_u_and_x,plain,
between(u,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_u_and_x) ).
cnf(c6,axiom,
( X348 != X346
| X347 != X351
| X350 != X349
| ~ between(X348,X347,X350)
| between(X346,X351,X349) ),
theory(equality) ).
cnf(c263,plain,
( u != X3527
| w != X3528
| x != X3529
| between(X3527,X3528,X3529) ),
inference(resolution,[status(thm)],[c6,w_between_u_and_x]) ).
cnf(c8564,plain,
( u != X3531
| w != X3530
| between(X3531,X3530,u) ),
inference(resolution,[status(thm)],[c263,c9]) ).
cnf(c8601,plain,
( u != X3540
| between(X3540,w,u) ),
inference(resolution,[status(thm)],[c8564,reflexivity]) ).
cnf(c8710,plain,
between(u,w,u),
inference(resolution,[status(thm)],[c8601,reflexivity]) ).
cnf(c8724,plain,
u = w,
inference(resolution,[status(thm)],[c8710,identity_for_betweeness]) ).
cnf(c8748,plain,
w = u,
inference(resolution,[status(thm)],[c8724,symmetry]) ).
cnf(c8880,plain,
w = x,
inference(resolution,[status(thm)],[c8748,c20]) ).
cnf(c8983,plain,
x = w,
inference(resolution,[status(thm)],[c8880,symmetry]) ).
cnf(identity_for_equidistance,axiom,
( ~ equidistant(X14,X15,X16,X16)
| X14 = X15 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(segment_construction2,axiom,
equidistant(X25,extension(X24,X25,X26,X27),X26,X27),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(c13,plain,
X30 = extension(X28,X30,X29,X29),
inference(resolution,[status(thm)],[segment_construction2,identity_for_equidistance]) ).
cnf(c15,plain,
extension(X33,X31,X32,X32) = X31,
inference(resolution,[status(thm)],[c13,symmetry]) ).
cnf(segment_construction1,axiom,
between(X20,X21,extension(X20,X21,X22,X23)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
cnf(c264,plain,
( X4091 != X4087
| X4086 != X4085
| extension(X4091,X4086,X4089,X4088) != X4090
| between(X4087,X4085,X4090) ),
inference(resolution,[status(thm)],[c6,segment_construction1]) ).
cnf(c14476,plain,
( X4093 != X4094
| X4092 != X4095
| between(X4094,X4095,X4092) ),
inference(resolution,[status(thm)],[c264,c15]) ).
cnf(c14537,plain,
( X4464 != X4463
| between(X4463,w,x) ),
inference(resolution,[status(thm)],[c14476,c8983]) ).
cnf(c16696,plain,
between(X4465,w,x),
inference(resolution,[status(thm)],[c14537,reflexivity]) ).
cnf(c16774,plain,
$false,
inference(resolution,[status(thm)],[c16696,prove_corollary]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GEO039-2 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n014.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 : 300
% 0.14/0.36 % DateTime : Thu May 9 08:10:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 18.70/18.87 % Version: 1.5
% 18.70/18.87 % SZS status Unsatisfiable
% 18.70/18.87 % SZS output start CNFRefutation
% See solution above
% 18.70/18.87
% 18.70/18.87 % Initial clauses : 31
% 18.70/18.87 % Processed clauses : 432
% 18.70/18.87 % Factors computed : 356
% 18.70/18.87 % Resolvents computed: 16438
% 18.70/18.87 % Tautologies deleted: 3
% 18.70/18.87 % Forward subsumed : 765
% 18.70/18.87 % Backward subsumed : 87
% 18.70/18.87 % -------- CPU Time ---------
% 18.70/18.87 % User time : 18.456 s
% 18.70/18.87 % System time : 0.051 s
% 18.70/18.87 % Total time : 18.507 s
%------------------------------------------------------------------------------