%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET852-1 : 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 : n015.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 02:48:48 PM UTC 2026
% Result : Unsatisfiable 52.80s 13.70s
% Output : CNFRefutation 91.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 5 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 34 ( 11 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 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 : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 30 ( 0 sgn 30 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1434,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_Union(X2,X3),X0,tc_set(X3))
| c_lessequals(X1,c_Union(X2,X3),tc_set(X3))
| c_in(c_Zorn_OUnion__lemma0__1(X0,X1,X2,X3),X2,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OUnion__lemma0_0) ).
fof(f1435,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_Union(X2,X3),X0,tc_set(X3))
| c_lessequals(X1,c_Union(X2,X3),tc_set(X3))
| ~ c_lessequals(c_Zorn_OUnion__lemma0__1(X0,X1,X2,X3),X0,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OUnion__lemma0_1) ).
fof(f1436,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_Union(X2,X3),X1,tc_set(X3))
| c_lessequals(X0,c_Union(X2,X3),tc_set(X3))
| ~ c_lessequals(X0,c_Zorn_OUnion__lemma0__1(X1,X0,X2,X3),tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OUnion__lemma0_2) ).
fof(f1440,negated_conjecture,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1441,negated_conjecture,
~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1442,negated_conjecture,
! [X0] :
( ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),X0,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
tcf(c_2007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(X1,c_Union(X2,X3),tc_set(X3))
| c_lessequals(c_Union(X2,X3),X0,tc_set(X3))
| c_in(c_Zorn_OUnion__lemma0__1(X0,X1,X2,X3),X2,tc_set(X3)) ),
inference(cnf_transformation,[],[f1434]) ).
tcf(c_2008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(X1,c_Union(X2,X3),tc_set(X3))
| c_lessequals(c_Union(X2,X3),X0,tc_set(X3))
| ~ c_lessequals(c_Zorn_OUnion__lemma0__1(X0,X1,X2,X3),X0,tc_set(X3)) ),
inference(cnf_transformation,[],[f1435]) ).
tcf(c_2009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(X0,c_Union(X2,X3),tc_set(X3))
| c_lessequals(c_Union(X2,X3),X1,tc_set(X3))
| ~ c_lessequals(X0,c_Zorn_OUnion__lemma0__1(X1,X0,X2,X3),tc_set(X3)) ),
inference(cnf_transformation,[],[f1436]) ).
tcf(c_2013,negated_conjecture,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(cnf_transformation,[],[f1440]) ).
tcf(c_2014,negated_conjecture,
~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
inference(cnf_transformation,[],[f1441]) ).
tcf(c_2015,negated_conjecture,
! [X0: $i] :
( c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,v_Y,tc_set(tc_set(t_a))) ),
inference(cnf_transformation,[],[f1442]) ).
tcf(c_50982,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Union(X1,tc_set(t_a)),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(X1,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OUnion__lemma0__1(X0,c_Zorn_Osucc(v_S,v_m,t_a),X1,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_OUnion__lemma0__1(X0,c_Zorn_Osucc(v_S,v_m,t_a),X1,tc_set(t_a)),v_Y,tc_set(tc_set(t_a))) ),
inference(superposition,[status(thm)],[c_2015,c_2009]) ).
tcf(c_51103,plain,
! [X0: $i] :
( c_lessequals(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OUnion__lemma0__1(X0,c_Zorn_Osucc(v_S,v_m,t_a),v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
inference(superposition,[status(thm)],[c_2007,c_50982]) ).
tcf(c_51104,plain,
! [X0: $i] :
( c_lessequals(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OUnion__lemma0__1(X0,c_Zorn_Osucc(v_S,v_m,t_a),v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51103,c_2014]) ).
tcf(c_51108,plain,
( c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) ),
inference(superposition,[status(thm)],[c_51104,c_2008]) ).
tcf(c_51115,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_51108,c_2013,c_2014]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET852-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.58 % Computer : n015.cluster.edu
% 0.10/0.58 % Model : x86_64 x86_64
% 0.10/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.58 % Memory : 8046.5625MB
% 0.10/0.58 % OS : Linux 6.8.0-71-generic
% 0.10/0.58 % CPULimit : 300
% 0.10/0.58 % WCLimit : 300
% 0.10/0.58 % DateTime : Thu Sep 24 12:16:57 UTC 2026
% 0.10/0.58 % CPUTime :
% 0.10/0.58 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.62 Running first-order theorem proving
% 0.10/0.62 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
% 0.10/0.63
% 0.10/0.63 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.63
% 0.10/0.63 % Detected problem language: tptp
% 0.14/0.65 % Proving...
% 52.80/13.70 % SZS status Started for theBenchmark.p
% 52.80/13.70 % SZS status Unsatisfiable for theBenchmark.p
% 52.80/13.70
% 52.80/13.70 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 52.80/13.70
% 52.80/13.70 % ------ iProver source info
% 52.80/13.70
% 52.80/13.70 % git: date: 2026-07-19 20:42:38 +0200
% 52.80/13.70 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 52.80/13.70 % git: non_committed_changes: false
% 52.80/13.70
% 52.80/13.70 % ------ Parsing...% successful
% 52.80/13.70
% 52.80/13.70
% 52.80/13.70 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 52.80/13.70
% 52.80/13.70 % ------ Preprocessing... sup_sim: 1 sf_s rm: 18 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: 30 0s sf_e pe_s pe_e %
% 52.80/13.70
% 52.80/13.70 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 52.80/13.70
% 52.80/13.70 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 52.80/13.70 % ------ Proving...
% 52.80/13.70 % ------ Problem Properties
% 52.80/13.70
% 52.80/13.70 %
% 52.80/13.70 % clauses 305
% 52.80/13.70 % conjectures 6
% 52.80/13.70 % EPR 26
% 52.80/13.70 % Horn 273
% 52.80/13.70 % unary 79
% 52.80/13.70 % binary 174
% 52.80/13.70 % lits 584
% 52.80/13.70 % lits eq 163
% 52.80/13.70 % fd_pure 0
% 52.80/13.70 % fd_pseudo 0
% 52.80/13.70 % fd_cond 22
% 52.80/13.70 % fd_pseudo_cond 40
% 52.80/13.70 % AC symbols 0
% 52.80/13.70
% 52.80/13.70 % ------ Input Options Time Limit: Unbounded
% 52.80/13.70
% 52.80/13.70
% 52.80/13.70 % ------
% 52.80/13.70 % Current options:
% 52.80/13.70 % ------
% 52.80/13.70
% 52.80/13.70
% 52.80/13.70 %
% 52.80/13.70
% 52.80/13.70 % ------ Proving...
% 52.80/13.70 %
% 52.80/13.70
% 52.80/13.70 % SZS status Unsatisfiable for theBenchmark.p
% 52.80/13.70
% 52.80/13.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 91.99/13.70
% 91.99/13.70
%------------------------------------------------------------------------------