%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET849-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/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 02:48:47 PM UTC 2026
% Result : Unsatisfiable 2.38s 1.51s
% Output : CNFRefutation 2.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 16 unt; 4 def)
% Number of atoms : 45 ( 18 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 21 ( 13 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 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 : 8 ( 6 usr; 5 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 26 ( 0 sgn 26 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f2,axiom,
! [X2,X0,X1] :
( c_in(c_Union(X0,tc_set(X2)),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(tc_set(X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).
fof(f3,axiom,
! [X0,X1] :
( c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)) = c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1)
| ~ c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Oequal__succ__Union_1) ).
fof(f4,negated_conjecture,
c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a) != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f5,plain,
c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) != c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),
inference(reorient_equations,[],[f4]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,X0,tc_set(X1)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Union(X0,tc_set(X2)),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(tc_set(X2)))) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( ( c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1) = c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)) )
| ~ c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1))) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_56,negated_conjecture,
c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a) != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
inference(cnf_transformation,[],[f5]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(c_Union(X4,tc_set(X0)),c_Zorn_OTFin(X2,X0),tc_set(tc_set(X0)))
| ( X3 != X4 )
| ( c_Zorn_OTFin(X2,X0) != X3 )
| ( tc_set(tc_set(tc_set(X0))) != tc_set(X1) ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_54]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Union(c_Zorn_OTFin(X2,X0),tc_set(X0)),c_Zorn_OTFin(X2,X0),tc_set(tc_set(X0)))
| ( tc_set(tc_set(tc_set(X0))) != tc_set(X1) ) ),
inference(unflattening,[status(thm)],[c_87]) ).
tcf(c_165,definition,
iPr_def_10 = c_Zorn_OTFin(v_S,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_166,definition,
iPr_def_11 = tc_set(t_a),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_167,definition,
iPr_def_12 = c_Union(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_168,definition,
iPr_def_13 = c_Zorn_Osucc(v_S,iPr_def_12,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_169,negated_conjecture,
iPr_def_13 != iPr_def_12,
inference(demodulation,[status(thm)],[c_56,c_166,c_165,c_167,c_168]) ).
tcf(c_309,plain,
! [X0: $i,X1: $i] : c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1))),
inference(equality_resolution,[status(thm)],[c_88]) ).
tcf(c_317,plain,
! [X0: $i,X1: $i] : c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1) = c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),
inference(global_subsumption_just,[status(thm)],[c_55,c_55,c_309]) ).
tcf(c_320,plain,
c_Zorn_Osucc(v_S,c_Union(iPr_def_10,tc_set(t_a)),t_a) = c_Union(iPr_def_10,tc_set(t_a)),
inference(superposition,[status(thm)],[c_165,c_317]) ).
tcf(c_322,plain,
iPr_def_12 = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_320,c_166,c_167,c_168]) ).
tcf(c_324,plain,
iPr_def_12 != iPr_def_12,
inference(demodulation,[status(thm)],[c_169,c_322]) ).
tcf(c_325,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_324]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET849-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.43 % Computer : n005.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Thu Sep 24 12:12:32 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.50 Running first-order theorem proving
% 0.17/0.50 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
% 0.26/0.51
% 0.26/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.26/0.51
% 0.26/0.52 % Detected problem language: tptp
% 0.26/0.53 % Proving...
% 2.38/1.51 % SZS status Started for theBenchmark.p
% 2.38/1.51 % SZS status Unsatisfiable for theBenchmark.p
% 2.38/1.51
% 2.38/1.51 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.38/1.51
% 2.38/1.51 % ------ iProver source info
% 2.38/1.51
% 2.38/1.51 % git: date: 2026-07-19 20:42:38 +0200
% 2.38/1.51 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.38/1.51 % git: non_committed_changes: false
% 2.38/1.51
% 2.38/1.51 % ------ Parsing...% successful
% 2.38/1.51
% 2.38/1.51
% 2.38/1.51 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.38/1.51
% 2.38/1.51 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 2.38/1.51
% 2.38/1.51 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.38/1.51
% 2.38/1.51 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.38/1.51 % ------ Proving...
% 2.38/1.51 % ------ Problem Properties
% 2.38/1.51
% 2.38/1.51 %
% 2.38/1.51 % clauses 7
% 2.38/1.51 % conjectures 1
% 2.38/1.51 % EPR 1
% 2.38/1.51 % Horn 7
% 2.38/1.51 % unary 5
% 2.38/1.51 % binary 2
% 2.38/1.51 % lits 9
% 2.38/1.51 % lits eq 7
% 2.38/1.51 % fd_pure 0
% 2.38/1.51 % fd_pseudo 0
% 2.38/1.51 % fd_cond 0
% 2.38/1.51 % fd_pseudo_cond 0
% 2.38/1.51 % AC symbols 0
% 2.38/1.51
% 2.38/1.51 % ------ Schedule dynamic 5 is on
% 2.38/1.51
% 2.38/1.51 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.38/1.51
% 2.38/1.51
% 2.38/1.51 % ------
% 2.38/1.51 % Current options:
% 2.38/1.51 % ------
% 2.38/1.51
% 2.38/1.51
% 2.38/1.51 %
% 2.38/1.51
% 2.38/1.51 % ------ Proving...
% 2.38/1.51 %
% 2.38/1.51
% 2.38/1.51 % SZS status Unsatisfiable for theBenchmark.p
% 2.38/1.51
% 2.38/1.51 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.38/1.51
% 2.38/1.51
%------------------------------------------------------------------------------