%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU424+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n007.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 02:57:28 PM UTC 2026
% Result : Theorem 2.42s 1.37s
% Output : CNFRefutation 2.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 28 ( 10 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 72 ( 31 ~; 24 |; 9 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-4 aty)
% Number of variables : 57 ( 0 sgn 53 !; 4 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f33,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f35,axiom,
! [X0,X1,X2,X3] :
( ( m2_relset_1(X3,X0,X1)
& m1_subset_1(X2,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X0) )
=> m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s8_domain_1__e1_22__relset_2) ).
fof(f45,plain,
? [X0] :
( ~ v1_xboole_0(X0)
& ? [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
& ? [X3] :
( m2_relset_1(X3,X0,X1)
& ~ m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f47,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(ennf_transformation,[],[f35]) ).
fof(f48,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(flattening,[],[f47]) ).
fof(f65,plain,
( ~ v1_xboole_0(sK0)
& m1_subset_1(sK2,k1_zfmisc_1(sK0))
& m2_relset_1(sK3,sK0,sK1)
& ~ m1_subset_1(a_4_0_relset_2(sK0,sK1,sK2,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f45]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
& ( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f77,plain,
~ v1_xboole_0(sK0),
inference(cnf_transformation,[],[f65]) ).
fof(f78,plain,
m1_subset_1(sK2,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f65]) ).
fof(f79,plain,
m2_relset_1(sK3,sK0,sK1),
inference(cnf_transformation,[],[f65]) ).
fof(f80,plain,
~ m1_subset_1(a_4_0_relset_2(sK0,sK1,sK2,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1))),
inference(cnf_transformation,[],[f65]) ).
fof(f86,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[],[f48]) ).
fof(f92,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_49,negated_conjecture,
~ m1_subset_1(a_4_0_relset_2(sK0,sK1,sK2,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1))),
inference(cnf_transformation,[],[f80]) ).
tcf(c_50,negated_conjecture,
m2_relset_1(sK3,sK0,sK1),
inference(cnf_transformation,[],[f79]) ).
tcf(c_51,negated_conjecture,
m1_subset_1(sK2,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f78]) ).
tcf(c_52,negated_conjecture,
~ v1_xboole_0(sK0),
inference(cnf_transformation,[],[f77]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| m1_subset_1(a_4_0_relset_2(X1,X2,X3,X0),k1_zfmisc_1(k1_zfmisc_1(X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_64]) ).
tcf(c_182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| m1_subset_1(a_4_0_relset_2(X1,X2,X3,X0),k1_zfmisc_1(k1_zfmisc_1(X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_58,c_106]) ).
tcf(c_1507,plain,
m1_relset_1(sK3,sK0,sK1),
inference(superposition,[status(thm)],[c_50,c_65]) ).
tcf(c_2128,plain,
( v1_xboole_0(sK0)
| ~ m1_relset_1(sK3,sK0,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
inference(superposition,[status(thm)],[c_182,c_49]) ).
tcf(c_2132,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2128,c_52,c_1507,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU424+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.41 % Computer : n007.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Thu Sep 24 14:06:53 UTC 2026
% 0.16/0.41 % CPUTime :
% 0.16/0.41 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.47 Running first-order theorem proving
% 0.16/0.47 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
% 0.16/0.49
% 0.16/0.49 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.49
% 0.16/0.49 % Detected problem language: tptp
% 0.25/0.51 % Proving...
% 2.42/1.37 % SZS status Started for theBenchmark.p
% 2.42/1.37 % SZS status Theorem for theBenchmark.p
% 2.42/1.37
% 2.42/1.37 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.42/1.37
% 2.42/1.37 % ------ iProver source info
% 2.42/1.37
% 2.42/1.37 % git: date: 2026-07-19 20:42:38 +0200
% 2.42/1.37 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.42/1.37 % git: non_committed_changes: false
% 2.42/1.37
% 2.42/1.37 % ------ Parsing...
% 2.42/1.37 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.42/1.37
% 2.42/1.37 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 2.42/1.37
% 2.42/1.37 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.42/1.37
% 2.42/1.37 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.42/1.37 % ------ Proving...
% 2.42/1.37 % ------ Problem Properties
% 2.42/1.37
% 2.42/1.37 %
% 2.42/1.37 % clauses 32
% 2.42/1.37 % conjectures 4
% 2.42/1.37 % EPR 9
% 2.42/1.37 % Horn 25
% 2.42/1.37 % unary 11
% 2.42/1.37 % binary 8
% 2.42/1.37 % lits 74
% 2.42/1.37 % lits eq 5
% 2.42/1.38 % fd_pure 0
% 2.42/1.38 % fd_pseudo 0
% 2.42/1.38 % fd_cond 0
% 2.42/1.38 % fd_pseudo_cond 3
% 2.42/1.38 % AC symbols 0
% 2.42/1.38
% 2.42/1.38 % ------ Schedule dynamic 5 is on
% 2.42/1.38
% 2.42/1.38 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.42/1.38
% 2.42/1.38
% 2.42/1.38 % ------
% 2.42/1.38 % Current options:
% 2.42/1.38 % ------
% 2.42/1.38
% 2.42/1.38
% 2.42/1.38 %
% 2.42/1.38
% 2.42/1.38 % ------ Proving...
% 2.42/1.38 %
% 2.42/1.38
% 2.42/1.38 % SZS status Theorem for theBenchmark.p
% 2.42/1.38
% 2.42/1.38 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.42/1.38
% 2.42/1.38
%------------------------------------------------------------------------------