%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET826-1 : 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 : n012.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 02:48:41 PM UTC 2026
% Result : Unsatisfiable 2.70s 0.96s
% Output : CNFRefutation 2.70s
% 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 : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 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 : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?; 5 :)
% 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,negated_conjecture,
c_in(v_x,v_V,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1435,negated_conjecture,
c_lessequals(v_V,v_Y,tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1437,negated_conjecture,
~ c_in(v_x,v_Y,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
tcf(c_1410,negated_conjecture,
c_in(v_x,v_V,t_a),
inference(cnf_transformation,[],[f1434]) ).
tcf(c_1411,negated_conjecture,
c_lessequals(v_V,v_Y,tc_set(t_a)),
inference(cnf_transformation,[],[f1435]) ).
tcf(c_1413,negated_conjecture,
~ c_in(v_x,v_Y,t_a),
inference(cnf_transformation,[],[f1437]) ).
tcf(c_1416,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_4688,plain,
! [X0: $i] :
( c_in(X0,v_Y,t_a)
| ~ c_in(X0,v_V,t_a) ),
inference(superposition,[status(thm)],[c_1411,c_1416]) ).
tcf(c_4745,plain,
c_in(v_x,v_Y,t_a),
inference(superposition,[status(thm)],[c_1410,c_4688]) ).
tcf(c_4746,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4745,c_1413]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET826-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Thu Sep 24 12:04:51 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.02/0.29 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.02/0.31 Running first-order theorem proving
% 0.02/0.31 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
% 0.02/0.32
% 0.02/0.32 % ======== iProver multi-core TPTP/SMT =========
% 0.02/0.32
% 0.02/0.32 % Detected problem language: tptp
% 0.06/0.33 % Proving...
% 2.70/0.96 % SZS status Started for theBenchmark.p
% 2.70/0.96 % SZS status Unsatisfiable for theBenchmark.p
% 2.70/0.96
% 2.70/0.96 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.70/0.96
% 2.70/0.96 % ------ iProver source info
% 2.70/0.96
% 2.70/0.96 % git: date: 2026-07-19 20:42:38 +0200
% 2.70/0.96 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.70/0.96 % git: non_committed_changes: false
% 2.70/0.96
% 2.70/0.96 % ------ Parsing...% successful
% 2.70/0.96
% 2.70/0.96
% 2.70/0.96 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.70/0.96
% 2.70/0.96 % ------ 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 %
% 2.70/0.96
% 2.70/0.96 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.70/0.96
% 2.70/0.96 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.70/0.96 % ------ Proving...
% 2.70/0.96 % ------ Problem Properties
% 2.70/0.96
% 2.70/0.96 %
% 2.70/0.96 % clauses 31
% 2.70/0.96 % conjectures 4
% 2.70/0.96 % EPR 11
% 2.70/0.96 % Horn 28
% 2.70/0.96 % unary 17
% 2.70/0.96 % binary 10
% 2.70/0.96 % lits 49
% 2.70/0.96 % lits eq 10
% 2.70/0.96 % fd_pure 0
% 2.70/0.96 % fd_pseudo 0
% 2.70/0.96 % fd_cond 2
% 2.70/0.96 % fd_pseudo_cond 5
% 2.70/0.96 % AC symbols 0
% 2.70/0.96
% 2.70/0.96 % ------ Schedule dynamic 5 is on
% 2.70/0.96
% 2.70/0.96 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.70/0.96
% 2.70/0.96
% 2.70/0.96 % ------
% 2.70/0.96 % Current options:
% 2.70/0.96 % ------
% 2.70/0.96
% 2.70/0.96
% 2.70/0.96 %
% 2.70/0.96
% 2.70/0.96 % ------ Proving...
% 2.70/0.96 %
% 2.70/0.96
% 2.70/0.96 % SZS status Unsatisfiable for theBenchmark.p
% 2.70/0.96
% 2.70/0.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.70/0.96
% 2.70/0.96
%------------------------------------------------------------------------------