%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU388+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:57:18 PM UTC 2026
% Result : Theorem 4.51s 1.32s
% Output : CNFRefutation 4.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 3
% Syntax : Number of formulae : 73 ( 13 unt; 0 def)
% Number of atoms : 290 ( 45 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 376 ( 159 ~; 167 |; 36 &)
% ( 5 <=>; 7 =>; 0 <=; 2 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 117 ( 0 sgn 103 !; 14 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
fof(f27,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_yellow19) ).
fof(f72,axiom,
! [X0,X1,X2] :
( ( element(X2,the_carrier(X1))
& top_str(X1)
& topological_space(X1)
& ~ empty_carrier(X1) )
=> ( in(X0,a_2_0_yellow19(X1,X2))
<=> ? [X3] :
( X0 = X3
& point_neighbourhood(X3,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_2_0_yellow19) ).
fof(f114,conjecture,
! [X0] :
( ( top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( in(X2,neighborhood_system(X0,X1))
<=> point_neighbourhood(X2,X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_yellow19) ).
fof(f115,negated_conjecture,
~ ! [X0] :
( ( top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( in(X2,neighborhood_system(X0,X1))
<=> point_neighbourhood(X2,X0,X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f114]) ).
fof(f155,plain,
? [X0] :
( top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0)
& ? [X1] :
( element(X1,the_carrier(X0))
& ? [X2] :
( in(X2,neighborhood_system(X0,X1))
<~> point_neighbourhood(X2,X0,X1) ) ) ),
inference(ennf_transformation,[],[f115]) ).
fof(f156,plain,
? [X0] :
( top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0)
& ? [X1] :
( element(X1,the_carrier(X0))
& ? [X2] :
( in(X2,neighborhood_system(X0,X1))
<~> point_neighbourhood(X2,X0,X1) ) ) ),
inference(flattening,[],[f155]) ).
fof(f168,plain,
! [X0] :
( ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1) ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f169,plain,
! [X0] :
( ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1) ) ),
inference(flattening,[],[f168]) ).
fof(f181,plain,
! [X0,X1,X2] :
( ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1)
| ( in(X0,a_2_0_yellow19(X1,X2))
<=> ? [X3] :
( X0 = X3
& point_neighbourhood(X3,X1,X2) ) ) ),
inference(ennf_transformation,[],[f72]) ).
fof(f182,plain,
! [X0,X1,X2] :
( ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1)
| ( in(X0,a_2_0_yellow19(X1,X2))
<=> ? [X3] :
( X0 = X3
& point_neighbourhood(X3,X1,X2) ) ) ),
inference(flattening,[],[f181]) ).
fof(f247,plain,
? [X0] :
( top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0)
& ? [X1] :
( element(X1,the_carrier(X0))
& ? [X2] :
( ( in(X2,neighborhood_system(X0,X1))
| point_neighbourhood(X2,X0,X1) )
& ( ~ in(X2,neighborhood_system(X0,X1))
| ~ point_neighbourhood(X2,X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f156]) ).
fof(f248,plain,
( top_str(sK1)
& topological_space(sK1)
& ~ empty_carrier(sK1)
& element(sK2,the_carrier(sK1))
& ( in(sK3,neighborhood_system(sK1,sK2))
| point_neighbourhood(sK3,sK1,sK2) )
& ( ~ in(sK3,neighborhood_system(sK1,sK2))
| ~ point_neighbourhood(sK3,sK1,sK2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f247]) ).
fof(f256,plain,
! [X0,X1,X2] :
( ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1)
| ( ( ~ in(X0,a_2_0_yellow19(X1,X2))
| ? [X3] :
( X0 = X3
& point_neighbourhood(X3,X1,X2) ) )
& ( ! [X3] :
( X0 != X3
| ~ point_neighbourhood(X3,X1,X2) )
| in(X0,a_2_0_yellow19(X1,X2)) ) ) ),
inference(nnf_transformation,[],[f182]) ).
fof(f257,plain,
! [X0,X1,X2] :
( ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1)
| ( ( ~ in(X0,a_2_0_yellow19(X1,X2))
| ? [X4] :
( X0 = X4
& point_neighbourhood(X4,X1,X2) ) )
& ( ! [X3] :
( X0 != X3
| ~ point_neighbourhood(X3,X1,X2) )
| in(X0,a_2_0_yellow19(X1,X2)) ) ) ),
inference(rectify,[],[f256]) ).
fof(f258,plain,
! [X0,X1,X2] :
( ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1)
| ( ( ~ in(X0,a_2_0_yellow19(X1,X2))
| ( sK10(X0,X1,X2) = X0
& point_neighbourhood(sK10(X0,X1,X2),X1,X2) ) )
& ( ! [X3] :
( X0 != X3
| ~ point_neighbourhood(X3,X1,X2) )
| in(X0,a_2_0_yellow19(X1,X2)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X4,sK10(X0,X1,X2))],[f257]) ).
fof(f283,plain,
top_str(sK1),
inference(cnf_transformation,[],[f248]) ).
fof(f284,plain,
topological_space(sK1),
inference(cnf_transformation,[],[f248]) ).
fof(f285,plain,
~ empty_carrier(sK1),
inference(cnf_transformation,[],[f248]) ).
fof(f286,plain,
element(sK2,the_carrier(sK1)),
inference(cnf_transformation,[],[f248]) ).
fof(f287,plain,
( in(sK3,neighborhood_system(sK1,sK2))
| point_neighbourhood(sK3,sK1,sK2) ),
inference(cnf_transformation,[],[f248]) ).
fof(f288,plain,
( ~ in(sK3,neighborhood_system(sK1,sK2))
| ~ point_neighbourhood(sK3,sK1,sK2) ),
inference(cnf_transformation,[],[f248]) ).
fof(f298,plain,
! [X0,X1] :
( ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1) ),
inference(cnf_transformation,[],[f169]) ).
fof(f327,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1)
| ~ in(X0,a_2_0_yellow19(X1,X2))
| sK10(X0,X1,X2) = X0 ),
inference(cnf_transformation,[],[f258]) ).
fof(f328,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1)
| ~ in(X0,a_2_0_yellow19(X1,X2))
| point_neighbourhood(sK10(X0,X1,X2),X1,X2) ),
inference(cnf_transformation,[],[f258]) ).
fof(f329,plain,
! [X2,X3,X0,X1] :
( ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1)
| X0 != X3
| ~ point_neighbourhood(X3,X1,X2)
| in(X0,a_2_0_yellow19(X1,X2)) ),
inference(cnf_transformation,[],[f258]) ).
fof(f455,plain,
! [X2,X3,X1] :
( ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1)
| ~ point_neighbourhood(X3,X1,X2)
| in(X3,a_2_0_yellow19(X1,X2)) ),
inference(equality_resolution,[],[f329]) ).
tcf(c_49,negated_conjecture,
( ~ point_neighbourhood(sK3,sK1,sK2)
| ~ in(sK3,neighborhood_system(sK1,sK2)) ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_50,negated_conjecture,
( point_neighbourhood(sK3,sK1,sK2)
| in(sK3,neighborhood_system(sK1,sK2)) ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_51,negated_conjecture,
element(sK2,the_carrier(sK1)),
inference(cnf_transformation,[],[f286]) ).
tcf(c_52,negated_conjecture,
~ empty_carrier(sK1),
inference(cnf_transformation,[],[f285]) ).
tcf(c_53,negated_conjecture,
topological_space(sK1),
inference(cnf_transformation,[],[f284]) ).
tcf(c_54,negated_conjecture,
top_str(sK1),
inference(cnf_transformation,[],[f283]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( empty_carrier(X1)
| ( neighborhood_system(X1,X0) = a_2_0_yellow19(X1,X0) )
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X0,the_carrier(X1)) ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X1)
| in(X0,a_2_0_yellow19(X1,X2))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,the_carrier(X1))
| ~ point_neighbourhood(X0,X1,X2) ),
inference(cnf_transformation,[],[f455]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X1)
| point_neighbourhood(sK10(X0,X1,X2),X1,X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,the_carrier(X1))
| ~ in(X0,a_2_0_yellow19(X1,X2)) ),
inference(cnf_transformation,[],[f328]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X1)
| ( sK10(X0,X1,X2) = X0 )
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,the_carrier(X1))
| ~ in(X0,a_2_0_yellow19(X1,X2)) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_289,plain,
( ~ in(sK3,neighborhood_system(sK1,sK2))
| ~ point_neighbourhood(sK3,sK1,sK2) ),
inference(prop_impl_just,[status(thm)],[c_49]) ).
tcf(c_290,plain,
( ~ point_neighbourhood(sK3,sK1,sK2)
| ~ in(sK3,neighborhood_system(sK1,sK2)) ),
inference(renaming,[status(thm)],[c_289]) ).
tcf(c_291,plain,
( in(sK3,neighborhood_system(sK1,sK2))
| point_neighbourhood(sK3,sK1,sK2) ),
inference(prop_impl_just,[status(thm)],[c_50]) ).
tcf(c_292,plain,
( point_neighbourhood(sK3,sK1,sK2)
| in(sK3,neighborhood_system(sK1,sK2)) ),
inference(renaming,[status(thm)],[c_291]) ).
tcf(c_2044,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X0)
| ( sK10(X1,X0,X2) = X1 )
| ~ top_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ in(X1,a_2_0_yellow19(X0,X2))
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_95]) ).
tcf(c_2045,plain,
! [X0: $i,X1: $i] :
( empty_carrier(sK1)
| ( sK10(X0,sK1,X1) = X0 )
| ~ top_str(sK1)
| ~ element(X1,the_carrier(sK1))
| ~ in(X0,a_2_0_yellow19(sK1,X1)) ),
inference(unflattening,[status(thm)],[c_2044]) ).
tcf(c_2047,plain,
! [X0: $i,X1: $i] :
( ~ element(X1,the_carrier(sK1))
| ~ in(X0,a_2_0_yellow19(sK1,X1))
| ( sK10(X0,sK1,X1) = X0 ) ),
inference(global_subsumption_just,[status(thm)],[c_2045,c_54,c_52,c_2045]) ).
tcf(c_2048,plain,
! [X0: $i,X1: $i] :
( ( sK10(X0,sK1,X1) = X0 )
| ~ element(X1,the_carrier(sK1))
| ~ in(X0,a_2_0_yellow19(sK1,X1)) ),
inference(renaming,[status(thm)],[c_2047]) ).
tcf(c_2059,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X0)
| point_neighbourhood(sK10(X1,X0,X2),X0,X2)
| ~ top_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ in(X1,a_2_0_yellow19(X0,X2))
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_94]) ).
tcf(c_2060,plain,
! [X0: $i,X1: $i] :
( empty_carrier(sK1)
| point_neighbourhood(sK10(X0,sK1,X1),sK1,X1)
| ~ top_str(sK1)
| ~ element(X1,the_carrier(sK1))
| ~ in(X0,a_2_0_yellow19(sK1,X1)) ),
inference(unflattening,[status(thm)],[c_2059]) ).
tcf(c_2062,plain,
! [X0: $i,X1: $i] :
( ~ element(X1,the_carrier(sK1))
| ~ in(X0,a_2_0_yellow19(sK1,X1))
| point_neighbourhood(sK10(X0,sK1,X1),sK1,X1) ),
inference(global_subsumption_just,[status(thm)],[c_2060,c_54,c_52,c_2060]) ).
tcf(c_2063,plain,
! [X0: $i,X1: $i] :
( point_neighbourhood(sK10(X0,sK1,X1),sK1,X1)
| ~ element(X1,the_carrier(sK1))
| ~ in(X0,a_2_0_yellow19(sK1,X1)) ),
inference(renaming,[status(thm)],[c_2062]) ).
tcf(c_2074,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X0)
| in(X1,a_2_0_yellow19(X0,X2))
| ~ top_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ point_neighbourhood(X1,X0,X2)
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_93]) ).
tcf(c_2075,plain,
! [X0: $i,X1: $i] :
( empty_carrier(sK1)
| in(X0,a_2_0_yellow19(sK1,X1))
| ~ top_str(sK1)
| ~ element(X1,the_carrier(sK1))
| ~ point_neighbourhood(X0,sK1,X1) ),
inference(unflattening,[status(thm)],[c_2074]) ).
tcf(c_2077,plain,
! [X0: $i,X1: $i] :
( ~ element(X1,the_carrier(sK1))
| ~ point_neighbourhood(X0,sK1,X1)
| in(X0,a_2_0_yellow19(sK1,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_2075,c_54,c_52,c_2075]) ).
tcf(c_2078,plain,
! [X0: $i,X1: $i] :
( in(X0,a_2_0_yellow19(sK1,X1))
| ~ element(X1,the_carrier(sK1))
| ~ point_neighbourhood(X0,sK1,X1) ),
inference(renaming,[status(thm)],[c_2077]) ).
tcf(c_2116,plain,
! [X0: $i,X1: $i] :
( empty_carrier(X0)
| ( neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1) )
| ~ top_str(X0)
| ~ element(X1,the_carrier(X0))
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_64]) ).
tcf(c_2117,plain,
! [X0: $i] :
( empty_carrier(sK1)
| ( neighborhood_system(sK1,X0) = a_2_0_yellow19(sK1,X0) )
| ~ top_str(sK1)
| ~ element(X0,the_carrier(sK1)) ),
inference(unflattening,[status(thm)],[c_2116]) ).
tcf(c_2119,plain,
! [X0: $i] :
( ~ element(X0,the_carrier(sK1))
| ( neighborhood_system(sK1,X0) = a_2_0_yellow19(sK1,X0) ) ),
inference(global_subsumption_just,[status(thm)],[c_2117,c_54,c_52,c_2117]) ).
tcf(c_2120,plain,
! [X0: $i] :
( ( neighborhood_system(sK1,X0) = a_2_0_yellow19(sK1,X0) )
| ~ element(X0,the_carrier(sK1)) ),
inference(renaming,[status(thm)],[c_2119]) ).
tcf(c_2178,plain,
! [X0: $i,X1: $i] :
( ~ element(X1,the_carrier(sK1))
| ~ in(sK3,neighborhood_system(sK1,sK2))
| ~ in(X0,a_2_0_yellow19(sK1,X1))
| ( sK1 != sK1 )
| ( X1 != sK2 )
| ( sK10(X0,sK1,X1) != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_290,c_2063]) ).
tcf(c_2179,plain,
! [X0: $i] :
( ~ element(sK2,the_carrier(sK1))
| ~ in(sK3,neighborhood_system(sK1,sK2))
| ~ in(X0,a_2_0_yellow19(sK1,sK2))
| ( sK10(X0,sK1,sK2) != sK3 ) ),
inference(unflattening,[status(thm)],[c_2178]) ).
tcf(c_2181,plain,
! [X0: $i] :
( ( sK10(X0,sK1,sK2) != sK3 )
| ~ in(X0,a_2_0_yellow19(sK1,sK2))
| ~ in(sK3,neighborhood_system(sK1,sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_2179,c_51,c_2179]) ).
tcf(c_2182,plain,
! [X0: $i] :
( ~ in(sK3,neighborhood_system(sK1,sK2))
| ~ in(X0,a_2_0_yellow19(sK1,sK2))
| ( sK10(X0,sK1,sK2) != sK3 ) ),
inference(renaming,[status(thm)],[c_2181]) ).
tcf(c_2203,plain,
! [X0: $i,X1: $i] :
( in(sK3,neighborhood_system(sK1,sK2))
| in(X0,a_2_0_yellow19(sK1,X1))
| ~ element(X1,the_carrier(sK1))
| ( sK1 != sK1 )
| ( X1 != sK2 )
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_292,c_2078]) ).
tcf(c_2204,plain,
( in(sK3,a_2_0_yellow19(sK1,sK2))
| in(sK3,neighborhood_system(sK1,sK2))
| ~ element(sK2,the_carrier(sK1)) ),
inference(unflattening,[status(thm)],[c_2203]) ).
tcf(c_2205,plain,
( in(sK3,a_2_0_yellow19(sK1,sK2))
| in(sK3,neighborhood_system(sK1,sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_2204,c_51,c_2204]) ).
tcf(c_5297,plain,
neighborhood_system(sK1,sK2) = a_2_0_yellow19(sK1,sK2),
inference(superposition,[status(thm)],[c_51,c_2120]) ).
tcf(c_5299,plain,
in(sK3,neighborhood_system(sK1,sK2)),
inference(demodulation,[status(thm)],[c_2205,c_5297]) ).
tcf(c_5310,plain,
! [X0: $i] :
( ( sK10(X0,sK1,sK2) = X0 )
| ~ element(sK2,the_carrier(sK1))
| ~ in(X0,neighborhood_system(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_5297,c_2048]) ).
tcf(c_5311,plain,
! [X0: $i] :
( ( sK10(X0,sK1,sK2) = X0 )
| ~ in(X0,neighborhood_system(sK1,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5310,c_51]) ).
tcf(c_5319,plain,
sK10(sK3,sK1,sK2) = sK3,
inference(superposition,[status(thm)],[c_5299,c_5311]) ).
tcf(c_5471,plain,
! [X0: $i] :
( ( sK10(X0,sK1,sK2) != sK3 )
| ~ in(X0,a_2_0_yellow19(sK1,sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_2182,c_51,c_2179,c_5299]) ).
tcf(c_5472,plain,
! [X0: $i] :
( ~ in(X0,a_2_0_yellow19(sK1,sK2))
| ( sK10(X0,sK1,sK2) != sK3 ) ),
inference(renaming,[status(thm)],[c_5471]) ).
tcf(c_5474,plain,
! [X0: $i] :
( ~ in(X0,neighborhood_system(sK1,sK2))
| ( sK10(X0,sK1,sK2) != sK3 ) ),
inference(light_normalisation,[status(thm)],[c_5472,c_5297]) ).
tcf(c_5481,plain,
~ in(sK3,neighborhood_system(sK1,sK2)),
inference(superposition,[status(thm)],[c_5319,c_5474]) ).
tcf(c_5483,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5481,c_5299]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU388+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n006.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Thu Sep 24 13:56:41 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 4.51/1.32 % SZS status Started for theBenchmark.p
% 4.51/1.32 % SZS status Theorem for theBenchmark.p
% 4.51/1.32
% 4.51/1.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.51/1.32
% 4.51/1.32 % ------ iProver source info
% 4.51/1.32
% 4.51/1.32 % git: date: 2026-07-19 20:42:38 +0200
% 4.51/1.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.51/1.32 % git: non_committed_changes: false
% 4.51/1.32
% 4.51/1.32 % ------ Parsing...
% 4.51/1.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.51/1.32
% 4.51/1.32 % ------ Preprocessing... sup_sim: 0 sf_s rm: 10 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e %
% 4.51/1.32
% 4.51/1.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.51/1.32
% 4.51/1.32 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.51/1.32 % ------ Proving...
% 4.51/1.32 % ------ Problem Properties
% 4.51/1.32
% 4.51/1.32 %
% 4.51/1.32 % clauses 164
% 4.51/1.32 % conjectures 2
% 4.51/1.32 % EPR 12
% 4.51/1.32 % Horn 154
% 4.51/1.32 % unary 126
% 4.51/1.32 % binary 28
% 4.51/1.32 % lits 212
% 4.51/1.32 % lits eq 7
% 4.51/1.32 % fd_pure 0
% 4.51/1.32 % fd_pseudo 0
% 4.51/1.32 % fd_cond 0
% 4.51/1.32 % fd_pseudo_cond 3
% 4.51/1.32 % AC symbols 0
% 4.51/1.32
% 4.51/1.32 % ------ Schedule dynamic 5 is on
% 4.51/1.32
% 4.51/1.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.51/1.32
% 4.51/1.32
% 4.51/1.32 % ------
% 4.51/1.32 % Current options:
% 4.51/1.32 % ------
% 4.51/1.32
% 4.51/1.32
% 4.51/1.32 %
% 4.51/1.32
% 4.51/1.32 % ------ Proving...
% 4.51/1.32 %
% 4.51/1.32
% 4.51/1.32 % SZS status Theorem for theBenchmark.p
% 4.51/1.32
% 4.51/1.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.51/1.32
% 4.51/1.32
%------------------------------------------------------------------------------