%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET846-1 : 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 : n008.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 4.24s 1.31s
% Output : CNFRefutation 4.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 11 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
fof(f383,axiom,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__refl_0) ).
fof(f1436,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(f1438,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(f1439,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(f1443,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_1416,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,[],[f1443]) ).
tcf(c_1418,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,[],[f1439]) ).
tcf(c_1419,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,[],[f1438]) ).
tcf(c_1420,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,X0,tc_set(X1)),
inference(cnf_transformation,[],[f383]) ).
tcf(c_1430,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,[],[f1436]) ).
tcf(c_4906,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(superposition,[status(thm)],[c_1430,c_1416]) ).
tcf(c_5095,plain,
~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(superposition,[status(thm)],[c_1419,c_4906]) ).
tcf(c_5143,plain,
~ c_lessequals(c_Zorn_OTFin(v_S,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),
inference(superposition,[status(thm)],[c_1418,c_5095]) ).
tcf(c_5144,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5143,c_1420]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET846-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n008.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 12:12:26 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 4.24/1.31 % SZS status Started for theBenchmark.p
% 4.24/1.31 % SZS status Unsatisfiable for theBenchmark.p
% 4.24/1.31
% 4.24/1.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.24/1.31
% 4.24/1.31 % ------ iProver source info
% 4.24/1.31
% 4.24/1.31 % git: date: 2026-07-19 20:42:38 +0200
% 4.24/1.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.24/1.31 % git: non_committed_changes: false
% 4.24/1.31
% 4.24/1.31 % ------ Parsing...% successful
% 4.24/1.31
% 4.24/1.31
% 4.24/1.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.24/1.31
% 4.24/1.31 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 0 sf_s rm: 26 0s sf_e pe_s pe_e %
% 4.24/1.31
% 4.24/1.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.24/1.31
% 4.24/1.31 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.24/1.31 % ------ Proving...
% 4.24/1.31 % ------ Problem Properties
% 4.24/1.31
% 4.24/1.31 %
% 4.24/1.31 % clauses 35
% 4.24/1.31 % conjectures 2
% 4.24/1.31 % EPR 9
% 4.24/1.31 % Horn 32
% 4.24/1.31 % unary 16
% 4.24/1.31 % binary 13
% 4.24/1.31 % lits 61
% 4.24/1.31 % lits eq 11
% 4.24/1.31 % fd_pure 0
% 4.24/1.31 % fd_pseudo 0
% 4.24/1.31 % fd_cond 2
% 4.24/1.31 % fd_pseudo_cond 5
% 4.24/1.31 % AC symbols 0
% 4.24/1.31
% 4.24/1.31 % ------ Schedule dynamic 5 is on
% 4.24/1.31
% 4.24/1.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.24/1.31
% 4.24/1.31
% 4.24/1.31 % ------
% 4.24/1.31 % Current options:
% 4.24/1.31 % ------
% 4.24/1.31
% 4.24/1.31
% 4.24/1.31 %
% 4.24/1.31
% 4.24/1.31 % ------ Proving...
% 4.24/1.31 %
% 4.24/1.31
% 4.24/1.31 % SZS status Unsatisfiable for theBenchmark.p
% 4.24/1.31
% 4.24/1.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.24/1.31
% 4.24/1.31
%------------------------------------------------------------------------------