%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET846-2 : 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 : n018.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 02:48:46 PM UTC 2026
% Result : Unsatisfiable 1.63s 1.50s
% Output : CNFRefutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 23 ( 15 unt; 5 def)
% Number of atoms : 56 ( 5 equ)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 20 ( 12 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 9 ( 7 usr; 6 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( c_lessequals(X0,c_Union(X1,X2),tc_set(X2))
| ~ c_in(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnion__upper_0) ).
fof(f2,axiom,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f3,axiom,
! [X2,X0,X1] :
( c_in(c_Zorn_Osucc(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin_OsuccI_0) ).
fof(f4,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(f5,negated_conjecture,
~ c_lessequals(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)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,c_Union(X1,X2),tc_set(X2))
| ~ c_in(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,X0,tc_set(X1)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Zorn_Osucc(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_57,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,[],[f4]) ).
tcf(c_58,negated_conjecture,
~ c_lessequals(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)),tc_set(tc_set(t_a))),
inference(cnf_transformation,[],[f5]) ).
tcf(c_79,plain,
~ c_in(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(resolution,[status(thm)],[c_54,c_58]) ).
tcf(c_83,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(resolution,[status(thm)],[c_55,c_57]) ).
tcf(c_98,definition,
iPr_def_10 = c_Zorn_OTFin(v_S,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_99,definition,
iPr_def_11 = tc_set(t_a),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_100,definition,
iPr_def_12 = c_Union(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_101,definition,
iPr_def_13 = c_Zorn_Osucc(v_S,iPr_def_12,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_102,definition,
iPr_def_14 = tc_set(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_103,plain,
~ c_in(iPr_def_13,iPr_def_10,iPr_def_14),
inference(demodulation,[status(thm)],[c_79,c_102,c_99,c_98,c_100,c_101]) ).
tcf(c_243,plain,
c_in(c_Union(iPr_def_10,tc_set(t_a)),iPr_def_10,tc_set(tc_set(t_a))),
inference(superposition,[status(thm)],[c_98,c_83]) ).
tcf(c_246,plain,
c_in(iPr_def_12,iPr_def_10,iPr_def_14),
inference(light_normalisation,[status(thm)],[c_243,c_99,c_100,c_102]) ).
tcf(c_252,plain,
( c_in(iPr_def_13,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(iPr_def_12,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(superposition,[status(thm)],[c_101,c_56]) ).
tcf(c_256,plain,
( c_in(iPr_def_13,iPr_def_10,iPr_def_14)
| ~ c_in(iPr_def_12,iPr_def_10,iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_252,c_98,c_99,c_102]) ).
tcf(c_257,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_256,c_103,c_246]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET846-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.59 % Computer : n018.cluster.edu
% 0.10/0.59 % Model : x86_64 x86_64
% 0.10/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.59 % Memory : 8046.5625MB
% 0.10/0.59 % OS : Linux 6.8.0-71-generic
% 0.10/0.59 % CPULimit : 300
% 0.10/0.59 % WCLimit : 300
% 0.10/0.59 % DateTime : Thu Sep 24 12:14:06 UTC 2026
% 0.10/0.59 % CPUTime :
% 0.10/0.59 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.63 Running first-order theorem proving
% 0.16/0.63 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
% 0.16/0.64
% 0.16/0.64 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.64
% 0.16/0.65 % Detected problem language: tptp
% 0.16/0.66 % Proving...
% 1.63/1.50 % SZS status Started for theBenchmark.p
% 1.63/1.50 % SZS status Unsatisfiable for theBenchmark.p
% 1.63/1.50
% 1.63/1.50 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.63/1.50
% 1.63/1.50 % ------ iProver source info
% 1.63/1.50
% 1.63/1.50 % git: date: 2026-07-19 20:42:38 +0200
% 1.63/1.50 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.63/1.50 % git: non_committed_changes: false
% 1.63/1.50
% 1.63/1.50 % ------ Parsing...% successful
% 1.63/1.50
% 1.63/1.50
% 1.63/1.50 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.63/1.50
% 1.63/1.50 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.63/1.50
% 1.63/1.50 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.63/1.50
% 1.63/1.50 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.63/1.50 % ------ Proving...
% 1.63/1.50 % ------ Problem Properties
% 1.63/1.50
% 1.63/1.50 %
% 1.63/1.50 % clauses 8
% 1.63/1.50 % conjectures 0
% 1.63/1.50 % EPR 1
% 1.63/1.50 % Horn 8
% 1.63/1.50 % unary 7
% 1.63/1.50 % binary 1
% 1.63/1.50 % lits 9
% 1.63/1.50 % lits eq 5
% 1.63/1.50 % fd_pure 0
% 1.63/1.50 % fd_pseudo 0
% 1.63/1.50 % fd_cond 0
% 1.63/1.50 % fd_pseudo_cond 0
% 1.63/1.50 % AC symbols 0
% 1.63/1.50
% 1.63/1.50 % ------ Schedule dynamic 5 is on
% 1.63/1.50
% 1.63/1.50 % ------ no conjectures: strip conj schedule
% 1.63/1.50
% 1.63/1.50 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.63/1.50
% 1.63/1.50
% 1.63/1.50 % ------
% 1.63/1.50 % Current options:
% 1.63/1.50 % ------
% 1.63/1.50
% 1.63/1.50
% 1.63/1.50 %
% 1.63/1.50
% 1.63/1.50 % ------ Proving...
% 1.63/1.50 %
% 1.63/1.50
% 1.63/1.50 % SZS status Unsatisfiable for theBenchmark.p
% 1.63/1.50
% 1.63/1.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.63/1.50
% 1.63/1.50
%------------------------------------------------------------------------------