%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET865-1 : 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 : 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 02:48:51 PM UTC 2026
% Result : Unsatisfiable 0.71s 1.21s
% Output : CNFRefutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 8 unt; 0 def)
% Number of atoms : 50 ( 7 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 55 ( 30 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn 43 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
fof(f378,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,X3,X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetD_0) ).
fof(f1434,axiom,
! [X0,X1] : c_in(c_Zorn_OHausdorff__1(X0,X1),c_Zorn_Omaxchain(X0,X1),tc_set(tc_set(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OHausdorff_0) ).
fof(f1435,axiom,
! [X2,X3,X0,X1] :
( c_Union(X3,X2) = X0
| ~ c_lessequals(c_Union(X3,X2),X0,tc_set(X2))
| ~ c_in(X3,c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__Zorn_0) ).
fof(f1436,axiom,
! [X0,X1] : c_lessequals(c_Zorn_Omaxchain(X0,X1),c_Zorn_Ochain(X0,X1),tc_set(tc_set(tc_set(X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__subset__chain_0) ).
fof(f1437,negated_conjecture,
! [X0] :
( ~ c_in(X0,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Union(X0,t_a),v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1438,negated_conjecture,
! [X0] :
( ~ c_in(X0,v_S,tc_set(t_a))
| c_in(v_x(X0),v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1439,negated_conjecture,
! [X0] :
( ~ c_in(X0,v_S,tc_set(t_a))
| c_lessequals(X0,v_x(X0),tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1440,negated_conjecture,
! [X0] :
( ~ c_in(X0,v_S,tc_set(t_a))
| X0 != v_x(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1441,plain,
! [X0] :
( ~ c_in(X0,v_S,tc_set(t_a))
| v_x(X0) != X0 ),
inference(reorient_equations,[],[f1440]) ).
tcf(c_1716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X3,X1,X2)
| ~ c_in(X3,X0,X2)
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[],[f378]) ).
tcf(c_2004,plain,
! [X0: $i,X1: $i] : c_in(c_Zorn_OHausdorff__1(X0,X1),c_Zorn_Omaxchain(X0,X1),tc_set(tc_set(X1))),
inference(cnf_transformation,[],[f1434]) ).
tcf(c_2005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Union(X0,X2) = X3 )
| ~ c_in(X3,X1,tc_set(X2))
| ~ c_lessequals(c_Union(X0,X2),X3,tc_set(X2))
| ~ c_in(X0,c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2))) ),
inference(cnf_transformation,[],[f1435]) ).
tcf(c_2006,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Zorn_Omaxchain(X0,X1),c_Zorn_Ochain(X0,X1),tc_set(tc_set(tc_set(X1)))),
inference(cnf_transformation,[],[f1436]) ).
tcf(c_2007,negated_conjecture,
! [X0: $i] :
( c_in(c_Union(X0,t_a),v_S,tc_set(t_a))
| ~ c_in(X0,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(cnf_transformation,[],[f1437]) ).
tcf(c_2008,negated_conjecture,
! [X0: $i] :
( c_in(v_x(X0),v_S,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(cnf_transformation,[],[f1438]) ).
tcf(c_2009,negated_conjecture,
! [X0: $i] :
( c_lessequals(X0,v_x(X0),tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(cnf_transformation,[],[f1439]) ).
tcf(c_2010,negated_conjecture,
! [X0: $i] :
( ~ c_in(X0,v_S,tc_set(t_a))
| ( v_x(X0) != X0 ) ),
inference(cnf_transformation,[],[f1441]) ).
tcf(c_2218,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2))) ),
inference(superposition,[status(thm)],[c_2006,c_1716]) ).
tcf(c_2251,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Union(c_Zorn_OHausdorff__1(X0,X1),X1) = X2 )
| ~ c_in(X2,X0,tc_set(X1))
| ~ c_lessequals(c_Union(c_Zorn_OHausdorff__1(X0,X1),X1),X2,tc_set(X1)) ),
inference(superposition,[status(thm)],[c_2004,c_2005]) ).
tcf(c_2264,plain,
! [X0: $i,X1: $i] : c_in(c_Zorn_OHausdorff__1(X0,X1),c_Zorn_Ochain(X0,X1),tc_set(tc_set(X1))),
inference(superposition,[status(thm)],[c_2004,c_2218]) ).
tcf(c_2294,plain,
! [X0: $i] :
( ( v_x(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a)) = c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a) )
| ~ c_in(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a),v_S,tc_set(t_a))
| ~ c_in(v_x(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a)),X0,tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_2009,c_2251]) ).
tcf(c_2304,plain,
c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a)),
inference(superposition,[status(thm)],[c_2264,c_2007]) ).
tcf(c_2335,plain,
! [X0: $i] :
( ~ c_in(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a),v_S,tc_set(t_a))
| ~ c_in(v_x(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a)),X0,tc_set(t_a)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2294,c_2010]) ).
tcf(c_2342,plain,
~ c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a)),
inference(superposition,[status(thm)],[c_2008,c_2335]) ).
tcf(c_2344,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2342,c_2304]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET865-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.37 % Computer : n005.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Thu Sep 24 12:17:47 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 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
% 0.08/0.42
% 0.08/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.42
% 0.08/0.42 % Detected problem language: tptp
% 0.08/0.43 % Proving...
% 0.71/1.21 % SZS status Started for theBenchmark.p
% 0.71/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 0.71/1.21
% 0.71/1.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.71/1.21
% 0.71/1.21 % ------ iProver source info
% 0.71/1.21
% 0.71/1.21 % git: date: 2026-07-19 20:42:38 +0200
% 0.71/1.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.71/1.21 % git: non_committed_changes: false
% 0.71/1.21
% 0.71/1.21 % ------ Parsing...% successful
% 0.71/1.21
% 0.71/1.21
% 0.71/1.21 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.71/1.21 % ------ Proving...
% 0.71/1.21 % ------ Problem Properties
% 0.71/1.21
% 0.71/1.21 %
% 0.71/1.21 % clauses 598
% 0.71/1.21 % conjectures 4
% 0.71/1.21 % EPR 289
% 0.71/1.21 % Horn 570
% 0.71/1.21 % unary 146
% 0.71/1.21 % binary 391
% 0.71/1.21 % lits 1112
% 0.71/1.21 % lits eq 194
% 0.71/1.21 % fd_pure 0
% 0.71/1.21 % fd_pseudo 0
% 0.71/1.21 % fd_cond 28
% 0.71/1.21 % fd_pseudo_cond 39
% 0.71/1.21 % AC symbols 0
% 0.71/1.21
% 0.71/1.21 % ------ Input Options Time Limit: Unbounded
% 0.71/1.21
% 0.71/1.21
% 0.71/1.21 % ------
% 0.71/1.21 % Current options:
% 0.71/1.21 % ------
% 0.71/1.21
% 0.71/1.21
% 0.71/1.21 %
% 0.71/1.21
% 0.71/1.21 % ------ Proving...
% 0.71/1.21 %
% 0.71/1.21
% 0.71/1.21 % ------ Proving...
% 0.71/1.21 %
% 0.71/1.21
% 0.71/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 0.71/1.21
% 0.71/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.71/1.21
% 0.71/1.21
%------------------------------------------------------------------------------