%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET835-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n009.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 02:48:43 PM UTC 2026
% Result : Unsatisfiable 1.82s 1.19s
% Output : CNFRefutation 1.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 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 : 4 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f2,negated_conjecture,
c_lessequals(v_Y,v_X,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3,negated_conjecture,
c_in(v_x,v_Y,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f4,negated_conjecture,
~ c_in(v_x,v_X,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
tcf(c_53,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,[],[f1]) ).
tcf(c_54,negated_conjecture,
c_lessequals(v_Y,v_X,tc_set(t_a)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_55,negated_conjecture,
c_in(v_x,v_Y,t_a),
inference(cnf_transformation,[],[f3]) ).
tcf(c_56,negated_conjecture,
~ c_in(v_x,v_X,t_a),
inference(cnf_transformation,[],[f4]) ).
tcf(c_69,plain,
! [X0: $i] :
( c_in(X0,v_X,t_a)
| ~ c_in(X0,v_Y,t_a) ),
inference(resolution,[status(thm)],[c_53,c_54]) ).
tcf(c_87,plain,
! [X0_iProver_c_in_1: iProver_c_in_1] :
( c_in(X0_iProver_c_in_1,v_X,t_a)
| ~ c_in(X0_iProver_c_in_1,v_Y,t_a) ),
inference(subtyping,[status(esa)],[c_69]) ).
tcf(c_92,plain,
! [X0_iProver_c_in_1: iProver_c_in_1] :
( c_in(X0_iProver_c_in_1,v_X,t_a)
| ~ c_in(X0_iProver_c_in_1,v_Y,t_a) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_93,plain,
( c_in(v_x,v_X,t_a)
| ~ c_in(v_x,v_Y,t_a) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_94,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_93,c_56,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET835-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 12:08:14 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 1.82/1.19 % SZS status Started for theBenchmark.p
% 1.82/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 1.82/1.19
% 1.82/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.82/1.19
% 1.82/1.19 % ------ iProver source info
% 1.82/1.19
% 1.82/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 1.82/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.82/1.19 % git: non_committed_changes: false
% 1.82/1.19
% 1.82/1.19 % ------ Parsing...% successful
% 1.82/1.19
% 1.82/1.19
% 1.82/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.82/1.19
% 1.82/1.19 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.82/1.19
% 1.82/1.19 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.82/1.19 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.82/1.19 % ------ Proving...
% 1.82/1.19 % ------ Problem Properties
% 1.82/1.19
% 1.82/1.19 %
% 1.82/1.19 % clauses 3
% 1.82/1.19 % conjectures 2
% 1.82/1.19 % EPR 3
% 1.82/1.19 % Horn 3
% 1.82/1.19 % unary 2
% 1.82/1.19 % binary 1
% 1.82/1.19 % lits 4
% 1.82/1.19 % lits eq 0
% 1.82/1.19 % fd_pure 0
% 1.82/1.19 % fd_pseudo 0
% 1.82/1.19 % fd_cond 0
% 1.82/1.19 % fd_pseudo_cond 0
% 1.82/1.19 % AC symbols 0
% 1.82/1.19
% 1.82/1.19 % ------ Schedule EPR Horn non eq is on
% 1.82/1.19
% 1.82/1.19 % ------ no equalities: superposition off
% 1.82/1.19
% 1.82/1.19 % ------ Option_epr_horn Time Limit: Unbounded
% 1.82/1.19
% 1.82/1.19
% 1.82/1.19 % ------
% 1.82/1.19 % Current options:
% 1.82/1.19 % ------
% 1.82/1.19
% 1.82/1.19
% 1.82/1.19 %
% 1.82/1.19
% 1.82/1.19 % ------ Proving...
% 1.82/1.19 %
% 1.82/1.19
% 1.82/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 1.82/1.19
% 1.82/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.82/1.19
% 1.82/1.19
%------------------------------------------------------------------------------