%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO040-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 17:20:52 EDT 2024
% Result : Unsatisfiable 4.60s 4.76s
% Output : Refutation 4.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 19 ( 11 unt; 0 nHn; 19 RR)
% Number of literals : 30 ( 14 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-5 aty)
% Number of variables : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_u_is_v,negated_conjecture,
u != v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_u_is_v) ).
cnf(symmetry,axiom,
( X11 != X12
| X12 = X11 ),
theory(equality) ).
cnf(identity_for_betweeness,axiom,
( ~ between(X18,X19,X18)
| X18 = X19 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
cnf(u_between_v_and_w,plain,
between(v,u,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_between_v_and_w) ).
cnf(v_between_u_and_w,plain,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
cnf(inner_pasch2,axiom,
( ~ between(X71,X73,X70)
| ~ between(X72,X69,X70)
| between(X69,inner_pasch(X71,X73,X70,X69,X72),X71) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).
cnf(c37,plain,
( ~ between(X762,X761,w)
| between(v,inner_pasch(X762,X761,w,v,u),X762) ),
inference(resolution,[status(thm)],[inner_pasch2,v_between_u_and_w]) ).
cnf(c562,plain,
between(v,inner_pasch(v,u,w,v,u),v),
inference(resolution,[status(thm)],[c37,u_between_v_and_w]) ).
cnf(c1424,plain,
v = inner_pasch(v,u,w,v,u),
inference(resolution,[status(thm)],[c562,identity_for_betweeness]) ).
cnf(transitivity,axiom,
( X45 != X46
| X46 != X47
| X45 = X47 ),
theory(equality) ).
cnf(inner_pasch1,axiom,
( ~ between(X53,X55,X52)
| ~ between(X54,X51,X52)
| between(X55,inner_pasch(X53,X55,X52,X51,X54),X54) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch1) ).
cnf(c25,plain,
( ~ between(X636,X635,w)
| between(X635,inner_pasch(X636,X635,w,v,u),u) ),
inference(resolution,[status(thm)],[inner_pasch1,v_between_u_and_w]) ).
cnf(c458,plain,
between(u,inner_pasch(v,u,w,v,u),u),
inference(resolution,[status(thm)],[c25,u_between_v_and_w]) ).
cnf(c1324,plain,
u = inner_pasch(v,u,w,v,u),
inference(resolution,[status(thm)],[c458,identity_for_betweeness]) ).
cnf(c1334,plain,
inner_pasch(v,u,w,v,u) = u,
inference(resolution,[status(thm)],[c1324,symmetry]) ).
cnf(c1341,plain,
( X3309 != inner_pasch(v,u,w,v,u)
| X3309 = u ),
inference(resolution,[status(thm)],[c1334,transitivity]) ).
cnf(c8247,plain,
v = u,
inference(resolution,[status(thm)],[c1341,c1424]) ).
cnf(c8310,plain,
u = v,
inference(resolution,[status(thm)],[c8247,symmetry]) ).
cnf(c8327,plain,
$false,
inference(resolution,[status(thm)],[c8310,prove_u_is_v]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO040-2 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 9 07:48:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 4.60/4.76 % Version: 1.5
% 4.60/4.76 % SZS status Unsatisfiable
% 4.60/4.76 % SZS output start CNFRefutation
% See solution above
% 4.60/4.77
% 4.60/4.77 % Initial clauses : 31
% 4.60/4.77 % Processed clauses : 301
% 4.60/4.77 % Factors computed : 168
% 4.60/4.77 % Resolvents computed: 8291
% 4.60/4.77 % Tautologies deleted: 2
% 4.60/4.77 % Forward subsumed : 429
% 4.60/4.77 % Backward subsumed : 3
% 4.60/4.77 % -------- CPU Time ---------
% 4.60/4.77 % User time : 4.365 s
% 4.60/4.77 % System time : 0.031 s
% 4.60/4.77 % Total time : 4.396 s
%------------------------------------------------------------------------------