%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU101+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n005.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 02:55:25 PM UTC 2026
% Result : Theorem 1.60s 1.42s
% Output : CNFRefutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 7
% Syntax : Number of formulae : 92 ( 5 unt; 2 def)
% Number of atoms : 336 ( 7 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 406 ( 172 ~; 177 |; 41 &)
% ( 8 <=>; 6 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 136 ( 0 sgn 120 !; 16 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( preboolean(X0)
=> ( diff_closed(X0)
& cup_closed(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_finsub_1) ).
fof(f5,axiom,
! [X0] :
( ( diff_closed(X0)
& cup_closed(X0) )
=> preboolean(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_finsub_1) ).
fof(f7,axiom,
! [X0] :
( cup_closed(X0)
<=> ! [X1,X2] :
( ( in(X2,X0)
& in(X1,X0) )
=> in(set_union2(X1,X2),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_finsub_1) ).
fof(f8,axiom,
! [X0] :
( diff_closed(X0)
<=> ! [X1,X2] :
( ( in(X2,X0)
& in(X1,X0) )
=> in(set_difference(X1,X2),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_finsub_1) ).
fof(f28,conjecture,
! [X0] :
( preboolean(X0)
<=> ! [X1,X2] :
( ( in(X2,X0)
& in(X1,X0) )
=> ( in(set_difference(X1,X2),X0)
& in(set_union2(X1,X2),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_finsub_1) ).
fof(f29,negated_conjecture,
~ ! [X0] :
( preboolean(X0)
<=> ! [X1,X2] :
( ( in(X2,X0)
& in(X1,X0) )
=> ( in(set_difference(X1,X2),X0)
& in(set_union2(X1,X2),X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f54,plain,
! [X0] :
( ~ preboolean(X0)
| ( diff_closed(X0)
& cup_closed(X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f56,plain,
! [X0] :
( ~ diff_closed(X0)
| ~ cup_closed(X0)
| preboolean(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f57,plain,
! [X0] :
( ~ diff_closed(X0)
| ~ cup_closed(X0)
| preboolean(X0) ),
inference(flattening,[],[f56]) ).
fof(f58,plain,
! [X0] :
( cup_closed(X0)
<=> ! [X1,X2] :
( ~ in(X2,X0)
| ~ in(X1,X0)
| in(set_union2(X1,X2),X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f59,plain,
! [X0] :
( cup_closed(X0)
<=> ! [X1,X2] :
( ~ in(X2,X0)
| ~ in(X1,X0)
| in(set_union2(X1,X2),X0) ) ),
inference(flattening,[],[f58]) ).
fof(f60,plain,
! [X0] :
( diff_closed(X0)
<=> ! [X1,X2] :
( ~ in(X2,X0)
| ~ in(X1,X0)
| in(set_difference(X1,X2),X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f61,plain,
! [X0] :
( diff_closed(X0)
<=> ! [X1,X2] :
( ~ in(X2,X0)
| ~ in(X1,X0)
| in(set_difference(X1,X2),X0) ) ),
inference(flattening,[],[f60]) ).
fof(f70,plain,
? [X0] :
( preboolean(X0)
<~> ! [X1,X2] :
( ~ in(X2,X0)
| ~ in(X1,X0)
| ( in(set_difference(X1,X2),X0)
& in(set_union2(X1,X2),X0) ) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f71,plain,
? [X0] :
( preboolean(X0)
<~> ! [X1,X2] :
( ~ in(X2,X0)
| ~ in(X1,X0)
| ( in(set_difference(X1,X2),X0)
& in(set_union2(X1,X2),X0) ) ) ),
inference(flattening,[],[f70]) ).
fof(f82,plain,
! [X0] :
( ( ~ cup_closed(X0)
| ! [X1,X2] :
( ~ in(X2,X0)
| ~ in(X1,X0)
| in(set_union2(X1,X2),X0) ) )
& ( ? [X1,X2] :
( in(X2,X0)
& in(X1,X0)
& ~ in(set_union2(X1,X2),X0) )
| cup_closed(X0) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f83,plain,
! [X0] :
( ( ~ cup_closed(X0)
| ! [X3,X4] :
( ~ in(X4,X0)
| ~ in(X3,X0)
| in(set_union2(X3,X4),X0) ) )
& ( ? [X1,X2] :
( in(X2,X0)
& in(X1,X0)
& ~ in(set_union2(X1,X2),X0) )
| cup_closed(X0) ) ),
inference(rectify,[],[f82]) ).
fof(f84,plain,
! [X0] :
( ( ~ cup_closed(X0)
| ! [X3,X4] :
( ~ in(X4,X0)
| ~ in(X3,X0)
| in(set_union2(X3,X4),X0) ) )
& ( ( in(sK1(X0),X0)
& in(sK0(X0),X0)
& ~ in(set_union2(sK0(X0),sK1(X0)),X0) )
| cup_closed(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X1,sK0(X0)),skolemize(X2,sK1(X0))],[f83]) ).
fof(f85,plain,
! [X0] :
( ( ~ diff_closed(X0)
| ! [X1,X2] :
( ~ in(X2,X0)
| ~ in(X1,X0)
| in(set_difference(X1,X2),X0) ) )
& ( ? [X1,X2] :
( in(X2,X0)
& in(X1,X0)
& ~ in(set_difference(X1,X2),X0) )
| diff_closed(X0) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f86,plain,
! [X0] :
( ( ~ diff_closed(X0)
| ! [X3,X4] :
( ~ in(X4,X0)
| ~ in(X3,X0)
| in(set_difference(X3,X4),X0) ) )
& ( ? [X1,X2] :
( in(X2,X0)
& in(X1,X0)
& ~ in(set_difference(X1,X2),X0) )
| diff_closed(X0) ) ),
inference(rectify,[],[f85]) ).
fof(f87,plain,
! [X0] :
( ( ~ diff_closed(X0)
| ! [X3,X4] :
( ~ in(X4,X0)
| ~ in(X3,X0)
| in(set_difference(X3,X4),X0) ) )
& ( ( in(sK3(X0),X0)
& in(sK2(X0),X0)
& ~ in(set_difference(sK2(X0),sK3(X0)),X0) )
| diff_closed(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X1,sK2(X0)),skolemize(X2,sK3(X0))],[f86]) ).
fof(f100,plain,
? [X0] :
( ( preboolean(X0)
| ! [X1,X2] :
( ~ in(X2,X0)
| ~ in(X1,X0)
| ( in(set_difference(X1,X2),X0)
& in(set_union2(X1,X2),X0) ) ) )
& ( ~ preboolean(X0)
| ? [X1,X2] :
( in(X2,X0)
& in(X1,X0)
& ( ~ in(set_difference(X1,X2),X0)
| ~ in(set_union2(X1,X2),X0) ) ) ) ),
inference(nnf_transformation,[],[f71]) ).
fof(f101,plain,
? [X0] :
( ( preboolean(X0)
| ! [X3,X4] :
( ~ in(X4,X0)
| ~ in(X3,X0)
| ( in(set_difference(X3,X4),X0)
& in(set_union2(X3,X4),X0) ) ) )
& ( ~ preboolean(X0)
| ? [X1,X2] :
( in(X2,X0)
& in(X1,X0)
& ( ~ in(set_difference(X1,X2),X0)
| ~ in(set_union2(X1,X2),X0) ) ) ) ),
inference(rectify,[],[f100]) ).
fof(f102,plain,
( ( preboolean(sK14)
| ! [X3,X4] :
( ~ in(X4,sK14)
| ~ in(X3,sK14)
| ( in(set_difference(X3,X4),sK14)
& in(set_union2(X3,X4),sK14) ) ) )
& ( ~ preboolean(sK14)
| ( in(sK16,sK14)
& in(sK15,sK14)
& ( ~ in(set_difference(sK15,sK16),sK14)
| ~ in(set_union2(sK15,sK16),sK14) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16]),skolemize(X0,sK14),skolemize(X1,sK15),skolemize(X2,sK16)],[f101]) ).
fof(f105,plain,
! [X0] :
( ~ preboolean(X0)
| diff_closed(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f106,plain,
! [X0] :
( ~ preboolean(X0)
| cup_closed(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f108,plain,
! [X0] :
( ~ diff_closed(X0)
| ~ cup_closed(X0)
| preboolean(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f110,plain,
! [X3,X0,X4] :
( ~ cup_closed(X0)
| ~ in(X4,X0)
| ~ in(X3,X0)
| in(set_union2(X3,X4),X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f111,plain,
! [X0] :
( in(sK1(X0),X0)
| cup_closed(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f112,plain,
! [X0] :
( in(sK0(X0),X0)
| cup_closed(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f113,plain,
! [X0] :
( ~ in(set_union2(sK0(X0),sK1(X0)),X0)
| cup_closed(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f114,plain,
! [X3,X0,X4] :
( ~ diff_closed(X0)
| ~ in(X4,X0)
| ~ in(X3,X0)
| in(set_difference(X3,X4),X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f115,plain,
! [X0] :
( in(sK3(X0),X0)
| diff_closed(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f116,plain,
! [X0] :
( in(sK2(X0),X0)
| diff_closed(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f117,plain,
! [X0] :
( ~ in(set_difference(sK2(X0),sK3(X0)),X0)
| diff_closed(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f151,plain,
! [X3,X4] :
( preboolean(sK14)
| ~ in(X4,sK14)
| ~ in(X3,sK14)
| in(set_difference(X3,X4),sK14) ),
inference(cnf_transformation,[],[f102]) ).
fof(f152,plain,
! [X3,X4] :
( preboolean(sK14)
| ~ in(X4,sK14)
| ~ in(X3,sK14)
| in(set_union2(X3,X4),sK14) ),
inference(cnf_transformation,[],[f102]) ).
fof(f153,plain,
( ~ preboolean(sK14)
| in(sK16,sK14) ),
inference(cnf_transformation,[],[f102]) ).
fof(f154,plain,
( ~ preboolean(sK14)
| in(sK15,sK14) ),
inference(cnf_transformation,[],[f102]) ).
fof(f155,plain,
( ~ preboolean(sK14)
| ~ in(set_difference(sK15,sK16),sK14)
| ~ in(set_union2(sK15,sK16),sK14) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_51,plain,
! [X0: $i] :
( cup_closed(X0)
| ~ preboolean(X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_52,plain,
! [X0: $i] :
( diff_closed(X0)
| ~ preboolean(X0) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_54,plain,
! [X0: $i] :
( preboolean(X0)
| ~ diff_closed(X0)
| ~ cup_closed(X0) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_56,plain,
! [X0: $i] :
( cup_closed(X0)
| ~ in(set_union2(sK0(X0),sK1(X0)),X0) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_57,plain,
! [X0: $i] :
( cup_closed(X0)
| in(sK0(X0),X0) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_58,plain,
! [X0: $i] :
( cup_closed(X0)
| in(sK1(X0),X0) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(set_union2(X0,X2),X1)
| ~ cup_closed(X1)
| ~ in(X2,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_60,plain,
! [X0: $i] :
( diff_closed(X0)
| ~ in(set_difference(sK2(X0),sK3(X0)),X0) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_61,plain,
! [X0: $i] :
( diff_closed(X0)
| in(sK2(X0),X0) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_62,plain,
! [X0: $i] :
( diff_closed(X0)
| in(sK3(X0),X0) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(set_difference(X0,X2),X1)
| ~ diff_closed(X1)
| ~ in(X2,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_97,negated_conjecture,
( ~ preboolean(sK14)
| ~ in(set_difference(sK15,sK16),sK14)
| ~ in(set_union2(sK15,sK16),sK14) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_98,negated_conjecture,
( in(sK15,sK14)
| ~ preboolean(sK14) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_99,negated_conjecture,
( in(sK16,sK14)
| ~ preboolean(sK14) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_100,negated_conjecture,
! [X0: $i,X1: $i] :
( preboolean(sK14)
| in(set_union2(X0,X1),sK14)
| ~ in(X1,sK14)
| ~ in(X0,sK14) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_101,negated_conjecture,
! [X0: $i,X1: $i] :
( preboolean(sK14)
| in(set_difference(X0,X1),sK14)
| ~ in(X1,sK14)
| ~ in(X0,sK14) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_133,plain,
( diff_closed(sK14)
| in(sK3(sK14),sK14) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_134,plain,
( diff_closed(sK14)
| in(sK2(sK14),sK14) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_135,plain,
( cup_closed(sK14)
| in(sK1(sK14),sK14) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_136,plain,
( cup_closed(sK14)
| in(sK0(sK14),sK14) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(set_union2(X2,X3),X0)
| ~ preboolean(X1)
| ~ in(X3,X0)
| ~ in(X2,X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_59,c_51]) ).
tcf(c_672,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(set_union2(X0,X2),X1)
| ~ preboolean(X1)
| ~ in(X2,X1)
| ~ in(X0,X1) ),
inference(unflattening,[status(thm)],[c_671]) ).
tcf(c_723,plain,
! [X0: $i,X1: $i] :
( in(set_union2(X0,X1),sK14)
| ~ in(X1,sK14)
| ~ in(X0,sK14) ),
inference(backward_subsumption_resolution,[status(thm)],[c_100,c_672]) ).
tcf(c_808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(set_difference(X2,X3),X0)
| ~ preboolean(X1)
| ~ in(X3,X0)
| ~ in(X2,X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_63,c_52]) ).
tcf(c_809,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(set_difference(X0,X2),X1)
| ~ preboolean(X1)
| ~ in(X2,X1)
| ~ in(X0,X1) ),
inference(unflattening,[status(thm)],[c_808]) ).
tcf(c_860,plain,
! [X0: $i,X1: $i] :
( in(set_difference(X0,X1),sK14)
| ~ in(X1,sK14)
| ~ in(X0,sK14) ),
inference(backward_subsumption_resolution,[status(thm)],[c_101,c_809]) ).
tcf(c_873,plain,
! [X0: $i] :
( in(sK16,sK14)
| ~ diff_closed(X0)
| ~ cup_closed(X0)
| ( X0 != sK14 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_99]) ).
tcf(c_874,plain,
( in(sK16,sK14)
| ~ diff_closed(sK14)
| ~ cup_closed(sK14) ),
inference(unflattening,[status(thm)],[c_873]) ).
tcf(c_884,plain,
! [X0: $i] :
( in(sK15,sK14)
| ~ diff_closed(X0)
| ~ cup_closed(X0)
| ( X0 != sK14 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_98]) ).
tcf(c_885,plain,
( in(sK15,sK14)
| ~ diff_closed(sK14)
| ~ cup_closed(sK14) ),
inference(unflattening,[status(thm)],[c_884]) ).
tcf(c_895,plain,
! [X0: $i] :
( ~ diff_closed(X0)
| ~ cup_closed(X0)
| ~ in(set_difference(sK15,sK16),sK14)
| ~ in(set_union2(sK15,sK16),sK14)
| ( X0 != sK14 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_97]) ).
tcf(c_896,plain,
( ~ diff_closed(sK14)
| ~ cup_closed(sK14)
| ~ in(set_difference(sK15,sK16),sK14)
| ~ in(set_union2(sK15,sK16),sK14) ),
inference(unflattening,[status(thm)],[c_895]) ).
tcf(c_2164,definition,
iPr_def_10 = set_union2(sK15,sK16),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2165,definition,
iPr_def_11 = set_difference(sK15,sK16),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2169,plain,
( ~ diff_closed(sK14)
| ~ cup_closed(sK14)
| ~ in(iPr_def_11,sK14)
| ~ in(iPr_def_10,sK14) ),
inference(demodulation,[status(thm)],[c_896]) ).
tcf(c_2171,plain,
( in(sK16,sK14)
| ~ diff_closed(sK14)
| ~ cup_closed(sK14) ),
inference(demodulation,[status(thm)],[c_874]) ).
tcf(c_2172,plain,
! [X0: $i,X1: $i] :
( in(set_difference(X0,X1),sK14)
| ~ in(X1,sK14)
| ~ in(X0,sK14) ),
inference(demodulation,[status(thm)],[c_860]) ).
tcf(c_2173,plain,
! [X0: $i,X1: $i] :
( in(set_union2(X0,X1),sK14)
| ~ in(X1,sK14)
| ~ in(X0,sK14) ),
inference(demodulation,[status(thm)],[c_723]) ).
tcf(c_2783,plain,
( in(iPr_def_10,sK14)
| ~ in(sK16,sK14)
| ~ in(sK15,sK14) ),
inference(superposition,[status(thm)],[c_2164,c_2173]) ).
tcf(c_2793,plain,
( in(iPr_def_10,sK14)
| ~ diff_closed(sK14)
| ~ cup_closed(sK14)
| ~ in(sK15,sK14) ),
inference(superposition,[status(thm)],[c_2171,c_2783]) ).
tcf(c_2798,plain,
( in(iPr_def_10,sK14)
| ~ diff_closed(sK14)
| ~ cup_closed(sK14) ),
inference(global_subsumption_just,[status(thm)],[c_2793,c_874,c_885,c_2783]) ).
tcf(c_2806,plain,
( ~ diff_closed(sK14)
| ~ cup_closed(sK14)
| ~ in(iPr_def_11,sK14) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2169,c_2798]) ).
tcf(c_2816,plain,
( in(iPr_def_11,sK14)
| ~ in(sK16,sK14)
| ~ in(sK15,sK14) ),
inference(superposition,[status(thm)],[c_2165,c_2172]) ).
tcf(c_2826,plain,
( in(iPr_def_11,sK14)
| ~ diff_closed(sK14)
| ~ cup_closed(sK14)
| ~ in(sK15,sK14) ),
inference(superposition,[status(thm)],[c_2171,c_2816]) ).
tcf(c_2831,plain,
( ~ cup_closed(sK14)
| ~ diff_closed(sK14) ),
inference(global_subsumption_just,[status(thm)],[c_2826,c_885,c_2806,c_2826]) ).
tcf(c_2832,plain,
( ~ diff_closed(sK14)
| ~ cup_closed(sK14) ),
inference(renaming,[status(thm)],[c_2831]) ).
tcf(c_3063,plain,
( cup_closed(sK14)
| ~ in(sK1(sK14),sK14)
| ~ in(sK0(sK14),sK14) ),
inference(superposition,[status(thm)],[c_2173,c_56]) ).
tcf(c_3080,plain,
cup_closed(sK14),
inference(global_subsumption_just,[status(thm)],[c_3063,c_135,c_136,c_3063]) ).
tcf(c_3082,plain,
~ diff_closed(sK14),
inference(backward_subsumption_resolution,[status(thm)],[c_2832,c_3080]) ).
tcf(c_3131,plain,
( diff_closed(sK14)
| ~ in(sK3(sK14),sK14)
| ~ in(sK2(sK14),sK14) ),
inference(superposition,[status(thm)],[c_2172,c_60]) ).
tcf(c_3132,plain,
( ~ in(sK3(sK14),sK14)
| ~ in(sK2(sK14),sK14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3131,c_3082]) ).
tcf(c_3135,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3132,c_3080,c_2832,c_134,c_133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU101+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.44 % Computer : n005.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Thu Sep 24 12:45:02 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.25/0.51 Running first-order theorem proving
% 0.25/0.51 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.25/0.53
% 0.25/0.53 % ======== iProver multi-core TPTP/SMT =========
% 0.25/0.53
% 0.25/0.53 % Detected problem language: tptp
% 0.25/0.55 % Proving...
% 1.60/1.42 % SZS status Started for theBenchmark.p
% 1.60/1.42 % SZS status Theorem for theBenchmark.p
% 1.60/1.42
% 1.60/1.42 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.60/1.42
% 1.60/1.42 % ------ iProver source info
% 1.60/1.42
% 1.60/1.42 % git: date: 2026-07-19 20:42:38 +0200
% 1.60/1.42 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.60/1.42 % git: non_committed_changes: false
% 1.60/1.42
% 1.60/1.42 % ------ Parsing...
% 1.60/1.42 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.60/1.42
% 1.60/1.42 % ------ Preprocessing... sup_sim: 0 sf_s rm: 10 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 1.60/1.42
% 1.60/1.42 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.60/1.42
% 1.60/1.42 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.60/1.42 % ------ Proving...
% 1.60/1.42 % ------ Problem Properties
% 1.60/1.42
% 1.60/1.42 %
% 1.60/1.42 % clauses 53
% 1.60/1.42 % conjectures 0
% 1.60/1.42 % EPR 19
% 1.60/1.42 % Horn 45
% 1.60/1.42 % unary 21
% 1.60/1.42 % binary 20
% 1.60/1.42 % lits 100
% 1.60/1.42 % lits eq 12
% 1.60/1.42 % fd_pure 0
% 1.60/1.42 % fd_pseudo 0
% 1.60/1.42 % fd_cond 1
% 1.60/1.42 % fd_pseudo_cond 1
% 1.60/1.42 % AC symbols 0
% 1.60/1.42
% 1.60/1.42 % ------ Schedule dynamic 5 is on
% 1.60/1.42
% 1.60/1.42 % ------ no conjectures: strip conj schedule
% 1.60/1.42
% 1.60/1.42 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.60/1.42
% 1.60/1.42
% 1.60/1.42 % ------
% 1.60/1.42 % Current options:
% 1.60/1.42 % ------
% 1.60/1.42
% 1.60/1.42
% 1.60/1.42 %
% 1.60/1.42
% 1.60/1.42 % ------ Proving...
% 1.60/1.42 %
% 1.60/1.42
% 1.60/1.42 % SZS status Theorem for theBenchmark.p
% 1.60/1.42
% 1.60/1.42 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.60/1.42
%------------------------------------------------------------------------------