%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU429+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 : n012.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 02:57:29 PM UTC 2026
% Result : Theorem 0.18s 1.58s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 18 unt; 5 def)
% Number of atoms : 76 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 59 ( 26 ~; 18 |; 8 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 10 ( 8 usr; 6 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-4 aty)
% Number of variables : 32 ( 0 sgn 28 !; 4 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> m1_subset_1(a_4_1_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> m1_subset_1(a_4_1_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( m2_relset_1(X3,X0,X1)
& m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
& ~ v1_xboole_0(X0) )
=> m1_subset_1(a_4_1_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s8_domain_1__e1_38__relset_2) ).
fof(f61,plain,
? [X0] :
( ~ v1_xboole_0(X0)
& ? [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
& ? [X3] :
( m2_relset_1(X3,X0,X1)
& ~ m1_subset_1(a_4_1_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f83,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| v1_xboole_0(X0)
| m1_subset_1(a_4_1_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(ennf_transformation,[],[f43]) ).
fof(f84,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| v1_xboole_0(X0)
| m1_subset_1(a_4_1_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(flattening,[],[f83]) ).
fof(f96,plain,
( ~ v1_xboole_0(sK0)
& m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0)))
& m2_relset_1(sK3,sK0,sK1)
& ~ m1_subset_1(a_4_1_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)],[f61]) ).
fof(f113,plain,
~ v1_xboole_0(sK0),
inference(cnf_transformation,[],[f96]) ).
fof(f114,plain,
m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0))),
inference(cnf_transformation,[],[f96]) ).
fof(f115,plain,
m2_relset_1(sK3,sK0,sK1),
inference(cnf_transformation,[],[f96]) ).
fof(f116,plain,
~ m1_subset_1(a_4_1_relset_2(sK0,sK1,sK2,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1))),
inference(cnf_transformation,[],[f96]) ).
fof(f161,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| v1_xboole_0(X0)
| m1_subset_1(a_4_1_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_49,negated_conjecture,
~ m1_subset_1(a_4_1_relset_2(sK0,sK1,sK2,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1))),
inference(cnf_transformation,[],[f116]) ).
tcf(c_50,negated_conjecture,
m2_relset_1(sK3,sK0,sK1),
inference(cnf_transformation,[],[f115]) ).
tcf(c_51,negated_conjecture,
m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0))),
inference(cnf_transformation,[],[f114]) ).
tcf(c_52,negated_conjecture,
~ v1_xboole_0(sK0),
inference(cnf_transformation,[],[f113]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| m1_subset_1(a_4_1_relset_2(X1,X3,X0,X2),k1_zfmisc_1(k1_zfmisc_1(X3)))
| ~ m2_relset_1(X2,X1,X3)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_2080,definition,
iPr_def_10 = k1_zfmisc_1(sK0),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2081,definition,
iPr_def_11 = k1_zfmisc_1(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2082,definition,
iPr_def_12 = a_4_1_relset_2(sK0,sK1,sK2,sK3),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_2083,definition,
iPr_def_13 = k1_zfmisc_1(sK1),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_2084,definition,
iPr_def_14 = k1_zfmisc_1(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_2085,negated_conjecture,
~ v1_xboole_0(sK0),
inference(demodulation,[status(thm)],[c_52]) ).
tcf(c_2086,negated_conjecture,
m1_subset_1(sK2,iPr_def_11),
inference(demodulation,[status(thm)],[c_51,c_2080,c_2081]) ).
tcf(c_2087,negated_conjecture,
m2_relset_1(sK3,sK0,sK1),
inference(demodulation,[status(thm)],[c_50]) ).
tcf(c_2088,negated_conjecture,
~ m1_subset_1(iPr_def_12,iPr_def_14),
inference(demodulation,[status(thm)],[c_49,c_2083,c_2084,c_2082]) ).
tcf(c_3471,plain,
( v1_xboole_0(sK0)
| m1_subset_1(iPr_def_12,k1_zfmisc_1(k1_zfmisc_1(sK1)))
| ~ m2_relset_1(sK3,sK0,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
inference(superposition,[status(thm)],[c_2082,c_97]) ).
tcf(c_3479,plain,
( v1_xboole_0(sK0)
| m1_subset_1(iPr_def_12,iPr_def_14)
| ~ m1_subset_1(sK2,iPr_def_11)
| ~ m2_relset_1(sK3,sK0,sK1) ),
inference(light_normalisation,[status(thm)],[c_3471,c_2080,c_2081,c_2083,c_2084]) ).
tcf(c_3480,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3479,c_2085,c_2088,c_2086,c_2087]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU429+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.92 % Computer : n012.cluster.edu
% 0.04/0.92 % Model : x86_64 x86_64
% 0.04/0.92 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.92 % Memory : 8046.5625MB
% 0.04/0.92 % OS : Linux 6.8.0-71-generic
% 0.04/0.92 % CPULimit : 300
% 0.04/0.92 % WCLimit : 300
% 0.04/0.92 % DateTime : Thu Sep 24 14:11:10 UTC 2026
% 0.04/0.92 % CPUTime :
% 0.04/0.92 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.94 Running first-order theorem proving
% 0.04/0.94 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
% 0.04/0.95
% 0.04/0.95 % ======== iProver multi-core TPTP/SMT =========
% 0.04/0.95
% 0.04/0.95 % Detected problem language: tptp
% 0.04/0.96 % Proving...
% 0.18/1.58 % SZS status Started for theBenchmark.p
% 0.18/1.58 % SZS status Theorem for theBenchmark.p
% 0.18/1.58
% 0.18/1.58 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.18/1.58
% 0.18/1.58 % ------ iProver source info
% 0.18/1.58
% 0.18/1.58 % git: date: 2026-07-19 20:42:38 +0200
% 0.18/1.58 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.18/1.58 % git: non_committed_changes: false
% 0.18/1.58
% 0.18/1.58 % ------ Parsing...
% 0.18/1.58 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.18/1.58
% 0.18/1.58 % ------ Preprocessing... sup_sim: 0 sf_s rm: 11 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e %
% 0.18/1.58
% 0.18/1.58 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.18/1.58
% 0.18/1.58 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.18/1.58 % ------ Proving...
% 0.18/1.58 % ------ Problem Properties
% 0.18/1.58
% 0.18/1.58 %
% 0.18/1.58 % clauses 51
% 0.18/1.58 % conjectures 4
% 0.18/1.58 % EPR 13
% 0.18/1.58 % Horn 42
% 0.18/1.58 % unary 24
% 0.18/1.58 % binary 12
% 0.18/1.58 % lits 102
% 0.18/1.58 % lits eq 14
% 0.18/1.58 % fd_pure 0
% 0.18/1.58 % fd_pseudo 0
% 0.18/1.58 % fd_cond 1
% 0.18/1.58 % fd_pseudo_cond 3
% 0.18/1.58 % AC symbols 0
% 0.18/1.58
% 0.18/1.58 % ------ Schedule dynamic 5 is on
% 0.18/1.58
% 0.18/1.58 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.18/1.58
% 0.18/1.58
% 0.18/1.58 % ------
% 0.18/1.58 % Current options:
% 0.18/1.58 % ------
% 0.18/1.58
% 0.18/1.58
% 0.18/1.58 %
% 0.18/1.58
% 0.18/1.58 % ------ Proving...
% 0.18/1.58 %
% 0.18/1.58
% 0.18/1.58 % SZS status Theorem for theBenchmark.p
% 0.18/1.58
% 0.18/1.58 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.18/1.58
% 0.18/1.58
%------------------------------------------------------------------------------