%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU435+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 : n020.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 02:57:31 PM UTC 2026
% Result : Theorem 2.00s 1.37s
% Output : CNFRefutation 2.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 17 unt; 7 def)
% Number of atoms : 69 ( 7 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 40 ( 18 ~; 12 |; 5 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 8 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-6 aty)
% Number of variables : 48 ( 0 sgn 42 !; 6 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
=> ! [X3,X4,X5] :
( m1_subset_1(X5,k1_zfmisc_1(X3))
=> m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
=> ! [X3,X4,X5] :
( m1_subset_1(X5,k1_zfmisc_1(X3))
=> m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4))) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f43,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( m1_subset_1(X5,k1_zfmisc_1(X3))
& m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) )
=> m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s8_domain_1__e1_46__relset_2) ).
fof(f61,plain,
? [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
& ? [X3,X4,X5] :
( m1_subset_1(X5,k1_zfmisc_1(X3))
& ~ m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4))) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f83,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4))) ),
inference(ennf_transformation,[],[f43]) ).
fof(f84,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4))) ),
inference(flattening,[],[f83]) ).
fof(f96,plain,
( m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))))
& m1_subset_1(sK5,k1_zfmisc_1(sK3))
& ~ m1_subset_1(a_6_0_relset_2(sK0,sK1,sK2,sK3,sK4,sK5),k1_zfmisc_1(k1_zfmisc_1(sK4))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f61]) ).
fof(f113,plain,
m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))),
inference(cnf_transformation,[],[f96]) ).
fof(f114,plain,
m1_subset_1(sK5,k1_zfmisc_1(sK3)),
inference(cnf_transformation,[],[f96]) ).
fof(f115,plain,
~ m1_subset_1(a_6_0_relset_2(sK0,sK1,sK2,sK3,sK4,sK5),k1_zfmisc_1(k1_zfmisc_1(sK4))),
inference(cnf_transformation,[],[f96]) ).
fof(f160,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4))) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_49,negated_conjecture,
~ m1_subset_1(a_6_0_relset_2(sK0,sK1,sK2,sK3,sK4,sK5),k1_zfmisc_1(k1_zfmisc_1(sK4))),
inference(cnf_transformation,[],[f115]) ).
tcf(c_50,negated_conjecture,
m1_subset_1(sK5,k1_zfmisc_1(sK3)),
inference(cnf_transformation,[],[f114]) ).
tcf(c_51,negated_conjecture,
m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))),
inference(cnf_transformation,[],[f113]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( m1_subset_1(a_6_0_relset_2(X1,X2,X0,X4,X5,X3),k1_zfmisc_1(k1_zfmisc_1(X5)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X4))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_1110,definition,
iPr_def_10 = k2_zfmisc_1(sK0,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1111,definition,
iPr_def_11 = k1_zfmisc_1(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_1112,definition,
iPr_def_12 = k1_zfmisc_1(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_1113,definition,
iPr_def_13 = k1_zfmisc_1(sK3),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_1114,definition,
iPr_def_14 = a_6_0_relset_2(sK0,sK1,sK2,sK3,sK4,sK5),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_1115,definition,
iPr_def_15 = k1_zfmisc_1(sK4),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_1116,definition,
iPr_def_16 = k1_zfmisc_1(iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_1117,negated_conjecture,
m1_subset_1(sK2,iPr_def_12),
inference(demodulation,[status(thm)],[c_51,c_1110,c_1111,c_1112]) ).
tcf(c_1118,negated_conjecture,
m1_subset_1(sK5,iPr_def_13),
inference(demodulation,[status(thm)],[c_50,c_1113]) ).
tcf(c_1119,negated_conjecture,
~ m1_subset_1(iPr_def_14,iPr_def_16),
inference(demodulation,[status(thm)],[c_49,c_1115,c_1116,c_1114]) ).
tcf(c_2704,plain,
( m1_subset_1(iPr_def_14,k1_zfmisc_1(k1_zfmisc_1(sK4)))
| ~ m1_subset_1(sK5,k1_zfmisc_1(sK3))
| ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))) ),
inference(superposition,[status(thm)],[c_1114,c_96]) ).
tcf(c_2713,plain,
( m1_subset_1(iPr_def_14,iPr_def_16)
| ~ m1_subset_1(sK5,iPr_def_13)
| ~ m1_subset_1(sK2,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_2704,c_1110,c_1111,c_1112,c_1113,c_1115,c_1116]) ).
tcf(c_2714,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2713,c_1119,c_1118,c_1117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU435+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.40 % Computer : n020.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Thu Sep 24 14:14:48 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.46 Running first-order theorem proving
% 0.13/0.46 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
% 0.13/0.47
% 0.13/0.47 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.47
% 0.13/0.48 % Detected problem language: tptp
% 0.21/0.49 % Proving...
% 2.00/1.37 % SZS status Started for theBenchmark.p
% 2.00/1.37 % SZS status Theorem for theBenchmark.p
% 2.00/1.37
% 2.00/1.37 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.00/1.37
% 2.00/1.37 % ------ iProver source info
% 2.00/1.37
% 2.00/1.37 % git: date: 2026-07-19 20:42:38 +0200
% 2.00/1.37 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.00/1.37 % git: non_committed_changes: false
% 2.00/1.37
% 2.00/1.37 % ------ Parsing...
% 2.00/1.37 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.00/1.37
% 2.00/1.37 % ------ Preprocessing... sup_sim: 0 sf_s rm: 11 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e %
% 2.00/1.37
% 2.00/1.37 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.00/1.37
% 2.00/1.37 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.00/1.37 % ------ Proving...
% 2.00/1.37 % ------ Problem Properties
% 2.00/1.37
% 2.00/1.37 %
% 2.00/1.37 % clauses 49
% 2.00/1.37 % conjectures 3
% 2.00/1.37 % EPR 12
% 2.00/1.37 % Horn 45
% 2.00/1.37 % unary 23
% 2.00/1.37 % binary 11
% 2.00/1.37 % lits 95
% 2.00/1.37 % lits eq 16
% 2.00/1.37 % fd_pure 0
% 2.00/1.37 % fd_pseudo 0
% 2.00/1.37 % fd_cond 1
% 2.00/1.37 % fd_pseudo_cond 3
% 2.00/1.37 % AC symbols 0
% 2.00/1.37
% 2.00/1.37 % ------ Schedule dynamic 5 is on
% 2.00/1.37
% 2.00/1.37 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.00/1.37
% 2.00/1.37
% 2.00/1.37 % ------
% 2.00/1.37 % Current options:
% 2.00/1.37 % ------
% 2.00/1.37
% 2.00/1.37
% 2.00/1.37 %
% 2.00/1.37
% 2.00/1.37 % ------ Proving...
% 2.00/1.37 %
% 2.00/1.37
% 2.00/1.37 % SZS status Theorem for theBenchmark.p
% 2.00/1.37
% 2.00/1.37 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.00/1.37
% 2.00/1.37
%------------------------------------------------------------------------------