%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM561+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/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 02:26:01 PM UTC 2026
% Result : Theorem 3.87s 1.17s
% Output : CNFRefutation 3.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 18 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 5 |; 3 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 3 !; 2 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
fof(f70,axiom,
aElementOf0(xx,szDzozmdt0(xF)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2911_02) ).
fof(f71,conjecture,
( aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF)))
| ? [X0] :
( sdtlpdtrp0(xF,X0) = sdtlpdtrp0(xF,xx)
& aElementOf0(X0,szDzozmdt0(xF)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f72,negated_conjecture,
~ ( aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF)))
| ? [X0] :
( sdtlpdtrp0(xF,X0) = sdtlpdtrp0(xF,xx)
& aElementOf0(X0,szDzozmdt0(xF)) ) ),
inference(negated_conjecture,[status(cth)],[f71]) ).
fof(f79,plain,
( ~ aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF)))
& ! [X0] :
( sdtlpdtrp0(xF,X0) != sdtlpdtrp0(xF,xx)
| ~ aElementOf0(X0,szDzozmdt0(xF)) ) ),
inference(ennf_transformation,[],[f72]) ).
fof(f99,plain,
aElementOf0(xx,szDzozmdt0(xF)),
inference(cnf_transformation,[],[f70]) ).
fof(f101,plain,
! [X0] :
( sdtlpdtrp0(xF,X0) != sdtlpdtrp0(xF,xx)
| ~ aElementOf0(X0,szDzozmdt0(xF)) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_50,plain,
aElementOf0(xx,szDzozmdt0(xF)),
inference(cnf_transformation,[],[f99]) ).
tcf(c_51,negated_conjecture,
! [X0: $i] :
( ~ aElementOf0(X0,szDzozmdt0(xF))
| ( sdtlpdtrp0(xF,X0) != sdtlpdtrp0(xF,xx) ) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_1098,plain,
~ aElementOf0(xx,szDzozmdt0(xF)),
inference(equality_resolution,[status(thm)],[c_51]) ).
tcf(c_1099,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1098,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM561+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 04:37:58 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.41 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
% 0.15/0.42
% 0.15/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.42
% 0.15/0.42 % Detected problem language: tptp
% 0.15/0.42 % Proving...
% 3.87/1.17 % SZS status Started for theBenchmark.p
% 3.87/1.17 % SZS status Theorem for theBenchmark.p
% 3.87/1.17
% 3.87/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.87/1.17
% 3.87/1.17 % ------ iProver source info
% 3.87/1.17
% 3.87/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 3.87/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.87/1.17 % git: non_committed_changes: false
% 3.87/1.17
% 3.87/1.17 % ------ Parsing...
% 3.87/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.87/1.17
% 3.87/1.17 % ------ Preprocessing... sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 3.87/1.17
% 3.87/1.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.87/1.17
% 3.87/1.17 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.87/1.17 % ------ Proving...
% 3.87/1.17 % ------ Problem Properties
% 3.87/1.17
% 3.87/1.17 %
% 3.87/1.17 % clauses 18
% 3.87/1.17 % conjectures 2
% 3.87/1.17 % EPR 5
% 3.87/1.17 % Horn 15
% 3.87/1.17 % unary 3
% 3.87/1.17 % binary 3
% 3.87/1.17 % lits 57
% 3.87/1.17 % lits eq 8
% 3.87/1.17 % fd_pure 0
% 3.87/1.17 % fd_pseudo 0
% 3.87/1.17 % fd_cond 0
% 3.87/1.17 % fd_pseudo_cond 4
% 3.87/1.17 % AC symbols 0
% 3.87/1.17
% 3.87/1.17 % ------ Schedule dynamic 5 is on
% 3.87/1.17
% 3.87/1.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.87/1.17
% 3.87/1.17
% 3.87/1.17 % ------
% 3.87/1.17 % Current options:
% 3.87/1.17 % ------
% 3.87/1.17
% 3.87/1.17
% 3.87/1.17 %
% 3.87/1.17
% 3.87/1.17 % ------ Proving...
% 3.87/1.17 %
% 3.87/1.17
% 3.87/1.17 % SZS status Theorem for theBenchmark.p
% 3.87/1.17
% 3.87/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.87/1.17
% 3.87/1.17
%------------------------------------------------------------------------------