%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG102+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 : 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 02:38:56 PM UTC 2026
% Result : Theorem 2.81s 1.27s
% Output : CNFRefutation 2.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 39 ( 14 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 34 ( 10 ~; 4 |; 20 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 4 !; 6 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f39,axiom,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& ? [X0] :
( sdtasdt0(xc,X0) = xy
& aElement0(X0) )
& aElementOf0(xx,slsdtgt0(xc))
& ? [X0] :
( sdtasdt0(xc,X0) = xx
& aElement0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1933) ).
fof(f41,conjecture,
? [X0] :
( sdtasdt0(xc,X0) = xy
& aElement0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f42,negated_conjecture,
~ ? [X0] :
( sdtasdt0(xc,X0) = xy
& aElement0(X0) ),
inference(negated_conjecture,[status(cth)],[f41]) ).
fof(f50,plain,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& ? [X1] :
( xy = sdtasdt0(xc,X1)
& aElement0(X1) )
& aElementOf0(xx,slsdtgt0(xc))
& ? [X0] :
( sdtasdt0(xc,X0) = xx
& aElement0(X0) ) ),
inference(rectify,[],[f39]) ).
fof(f101,plain,
! [X0] :
( sdtasdt0(xc,X0) != xy
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f138,plain,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& xy = sdtasdt0(xc,sK23)
& aElement0(sK23)
& aElementOf0(xx,slsdtgt0(xc))
& xx = sdtasdt0(xc,sK22)
& aElement0(sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23]),skolemize(X0,sK22),skolemize(X1,sK23)],[f50]) ).
fof(f231,plain,
xy = sdtasdt0(xc,sK23),
inference(cnf_transformation,[],[f138]) ).
fof(f232,plain,
aElement0(sK23),
inference(cnf_transformation,[],[f138]) ).
fof(f238,plain,
! [X0] :
( sdtasdt0(xc,X0) != xy
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_142,plain,
aElement0(sK23),
inference(cnf_transformation,[],[f232]) ).
tcf(c_143,plain,
sdtasdt0(xc,sK23) = xy,
inference(cnf_transformation,[],[f231]) ).
tcf(c_148,negated_conjecture,
! [X0: $i] :
( ~ aElement0(X0)
| ( sdtasdt0(xc,X0) != xy ) ),
inference(cnf_transformation,[],[f238]) ).
tcf(c_5121,negated_conjecture,
! [X0: $i] :
( ~ aElement0(X0)
| ( sdtasdt0(xc,X0) != xy ) ),
inference(demodulation,[status(thm)],[c_148]) ).
tcf(c_6632,plain,
~ aElement0(sK23),
inference(superposition,[status(thm)],[c_143,c_5121]) ).
tcf(c_6633,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6632,c_142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG102+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n005.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
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 08:14:32 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 2.81/1.27 % SZS status Started for theBenchmark.p
% 2.81/1.27 % SZS status Theorem for theBenchmark.p
% 2.81/1.27
% 2.81/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.81/1.27
% 2.81/1.27 % ------ iProver source info
% 2.81/1.27
% 2.81/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 2.81/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.81/1.27 % git: non_committed_changes: false
% 2.81/1.27
% 2.81/1.27 % ------ Parsing...
% 2.81/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.81/1.27
% 2.81/1.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 2.81/1.27
% 2.81/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.81/1.27
% 2.81/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.81/1.27 % ------ Proving...
% 2.81/1.27 % ------ Problem Properties
% 2.81/1.27
% 2.81/1.27 %
% 2.81/1.27 % clauses 95
% 2.81/1.27 % conjectures 1
% 2.81/1.27 % EPR 17
% 2.81/1.27 % Horn 72
% 2.81/1.27 % unary 13
% 2.81/1.27 % binary 15
% 2.81/1.27 % lits 331
% 2.81/1.27 % lits eq 46
% 2.81/1.27 % fd_pure 0
% 2.81/1.27 % fd_pseudo 0
% 2.81/1.27 % fd_cond 3
% 2.81/1.27 % fd_pseudo_cond 11
% 2.81/1.27 % AC symbols 0
% 2.81/1.27
% 2.81/1.27 % ------ Schedule dynamic 5 is on
% 2.81/1.27
% 2.81/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.81/1.27
% 2.81/1.27
% 2.81/1.27 % ------
% 2.81/1.27 % Current options:
% 2.81/1.27 % ------
% 2.81/1.27
% 2.81/1.27
% 2.81/1.27 %
% 2.81/1.27
% 2.81/1.27 % ------ Proving...
% 2.81/1.27 %
% 2.81/1.27
% 2.81/1.27 % SZS status Theorem for theBenchmark.p
% 2.81/1.27
% 2.81/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.81/1.27
% 2.81/1.27
%------------------------------------------------------------------------------