%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET850-1 : 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 02:48:47 PM UTC 2026
% Result : Unsatisfiable 4.02s 1.47s
% Output : CNFRefutation 4.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1434,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(X3,X1,tc_set(X2))
| ~ c_lessequals(X3,X0,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).
fof(f1435,axiom,
! [X2,X0,X1] : c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).
fof(f1436,negated_conjecture,
c_lessequals(v_x,v_y,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1437,negated_conjecture,
~ c_lessequals(v_x,c_Zorn_Osucc(v_S,v_y,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
tcf(c_1410,negated_conjecture,
c_lessequals(v_x,v_y,tc_set(tc_set(t_a))),
inference(cnf_transformation,[],[f1436]) ).
tcf(c_1411,negated_conjecture,
~ c_lessequals(v_x,c_Zorn_Osucc(v_S,v_y,t_a),tc_set(tc_set(t_a))),
inference(cnf_transformation,[],[f1437]) ).
tcf(c_1412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(X3,X1,tc_set(X2))
| ~ c_lessequals(X3,X0,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[],[f1434]) ).
tcf(c_1424,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))),
inference(cnf_transformation,[],[f1435]) ).
tcf(c_4743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(X0,c_Zorn_Osucc(X3,X1,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(X0,X1,tc_set(tc_set(X2))) ),
inference(superposition,[status(thm)],[c_1424,c_1412]) ).
tcf(c_4869,plain,
~ c_lessequals(v_x,v_y,tc_set(tc_set(t_a))),
inference(superposition,[status(thm)],[c_4743,c_1411]) ).
tcf(c_4870,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4869,c_1410]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET850-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.55 % Computer : n005.cluster.edu
% 0.08/0.55 % Model : x86_64 x86_64
% 0.08/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.55 % Memory : 8046.5625MB
% 0.08/0.55 % OS : Linux 6.8.0-71-generic
% 0.08/0.55 % CPULimit : 300
% 0.08/0.55 % WCLimit : 300
% 0.08/0.55 % DateTime : Thu Sep 24 12:12:48 UTC 2026
% 0.12/0.55 % CPUTime :
% 0.12/0.55 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.59 Running first-order theorem proving
% 0.12/0.59 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
% 0.12/0.60
% 0.12/0.60 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.60
% 0.12/0.60 % Detected problem language: tptp
% 0.12/0.61 % Proving...
% 4.02/1.47 % SZS status Started for theBenchmark.p
% 4.02/1.47 % SZS status Unsatisfiable for theBenchmark.p
% 4.02/1.47
% 4.02/1.47 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.02/1.47
% 4.02/1.47 % ------ iProver source info
% 4.02/1.47
% 4.02/1.47 % git: date: 2026-07-19 20:42:38 +0200
% 4.02/1.47 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.02/1.47 % git: non_committed_changes: false
% 4.02/1.47
% 4.02/1.47 % ------ Parsing...% successful
% 4.02/1.47
% 4.02/1.47
% 4.02/1.47 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.02/1.47
% 4.02/1.47 % ------ 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 %
% 4.02/1.47
% 4.02/1.47 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.02/1.47
% 4.02/1.47 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.02/1.47 % ------ Proving...
% 4.02/1.47 % ------ Problem Properties
% 4.02/1.47
% 4.02/1.47 %
% 4.02/1.47 % clauses 31
% 4.02/1.47 % conjectures 2
% 4.02/1.47 % EPR 9
% 4.02/1.47 % Horn 28
% 4.02/1.47 % unary 16
% 4.02/1.47 % binary 10
% 4.02/1.47 % lits 51
% 4.02/1.47 % lits eq 10
% 4.02/1.47 % fd_pure 0
% 4.02/1.47 % fd_pseudo 0
% 4.02/1.47 % fd_cond 2
% 4.02/1.47 % fd_pseudo_cond 5
% 4.02/1.47 % AC symbols 0
% 4.02/1.47
% 4.02/1.47 % ------ Schedule dynamic 5 is on
% 4.02/1.47
% 4.02/1.47 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.02/1.47
% 4.02/1.47
% 4.02/1.47 % ------
% 4.02/1.47 % Current options:
% 4.02/1.47 % ------
% 4.02/1.47
% 4.02/1.47
% 4.02/1.47 %
% 4.02/1.47
% 4.02/1.47 % ------ Proving...
% 4.02/1.47 %
% 4.02/1.47
% 4.02/1.47 % SZS status Unsatisfiable for theBenchmark.p
% 4.02/1.47
% 4.02/1.47 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.02/1.47
% 4.02/1.47
%------------------------------------------------------------------------------