%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM618+3 : 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 : n018.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 02:26:15 PM UTC 2026
% Result : Theorem 8.67s 2.63s
% Output : CNFRefutation 8.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 9 unt; 0 def)
% Number of atoms : 94 ( 29 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 104 ( 37 ~; 27 |; 36 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 19 !; 5 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f92,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( ( aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) )
& aSet0(X1) )
=> sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) ) )
& szDzozmdt0(xd) = szNzAzT0
& aFunction0(xd) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4730) ).
fof(f94,axiom,
( ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xd)) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4854) ).
fof(f114,axiom,
( ? [X0] :
( sdtlpdtrp0(xe,X0) = xx
& aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& aElementOf0(xx,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5365) ).
fof(f115,conjecture,
? [X0] :
( xx = sdtlpdtrp0(xe,X0)
& aElementOf0(X0,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f116,negated_conjecture,
~ ? [X0] :
( xx = sdtlpdtrp0(xe,X0)
& aElementOf0(X0,szNzAzT0) ),
inference(negated_conjecture,[status(cth)],[f115]) ).
fof(f262,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) )
| ~ aSet0(X1)
| sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) ) )
& szDzozmdt0(xd) = szNzAzT0
& aFunction0(xd) ),
inference(ennf_transformation,[],[f92]) ).
fof(f263,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) )
| ~ aSet0(X1)
| sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) ) )
& szDzozmdt0(xd) = szNzAzT0
& aFunction0(xd) ),
inference(flattening,[],[f262]) ).
fof(f276,plain,
! [X0] :
( sdtlpdtrp0(xe,X0) != xx
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f116]) ).
fof(f445,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(sK67(X0,X1),X1)
& ~ aElementOf0(sK67(X0,X1),sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) )
| ~ aSet0(X1)
| sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) ) )
& szDzozmdt0(xd) = szNzAzT0
& aFunction0(xd) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK67]),skolemize(X2,sK67(X0,X1))],[f263]) ).
fof(f449,plain,
( ! [X0] :
( ( ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xd)) ) )
& ( sdtlpdtrp0(xd,X0) != szDzizrdt0(xd)
| ~ aElementOf0(X0,szDzozmdt0(xd))
| aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ),
inference(nnf_transformation,[],[f94]) ).
fof(f450,plain,
( ! [X0] :
( ( ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xd)) ) )
& ( sdtlpdtrp0(xd,X0) != szDzizrdt0(xd)
| ~ aElementOf0(X0,szDzozmdt0(xd))
| aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ),
inference(flattening,[],[f449]) ).
fof(f461,plain,
( xx = sdtlpdtrp0(xe,sK73)
& aElementOf0(sK73,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xx,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK73]),skolemize(X0,sK73)],[f114]) ).
fof(f820,plain,
szNzAzT0 = szDzozmdt0(xd),
inference(cnf_transformation,[],[f445]) ).
fof(f829,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| aElementOf0(X0,szDzozmdt0(xd)) ),
inference(cnf_transformation,[],[f450]) ).
fof(f898,plain,
xx = sdtlpdtrp0(xe,sK73),
inference(cnf_transformation,[],[f461]) ).
fof(f899,plain,
aElementOf0(sK73,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf_transformation,[],[f461]) ).
fof(f901,plain,
! [X0] :
( sdtlpdtrp0(xe,X0) != xx
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_404,plain,
szDzozmdt0(xd) = szNzAzT0,
inference(cnf_transformation,[],[f820]) ).
tcf(c_418,plain,
! [X0: $i] :
( aElementOf0(X0,szDzozmdt0(xd))
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(cnf_transformation,[],[f829]) ).
tcf(c_486,plain,
aElementOf0(sK73,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf_transformation,[],[f899]) ).
tcf(c_487,plain,
sdtlpdtrp0(xe,sK73) = xx,
inference(cnf_transformation,[],[f898]) ).
tcf(c_488,negated_conjecture,
! [X0: $i] :
( ~ aElementOf0(X0,szNzAzT0)
| ( sdtlpdtrp0(xe,X0) != xx ) ),
inference(cnf_transformation,[],[f901]) ).
tcf(c_3728,plain,
! [X0: $i] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(light_normalisation,[status(thm)],[c_418,c_404]) ).
tcf(c_26374,negated_conjecture,
! [X0: $i] :
( ~ aElementOf0(X0,szNzAzT0)
| ( sdtlpdtrp0(xe,X0) != xx ) ),
inference(demodulation,[status(thm)],[c_488]) ).
tcf(c_31630,plain,
~ aElementOf0(sK73,szNzAzT0),
inference(superposition,[status(thm)],[c_487,c_26374]) ).
tcf(c_31663,plain,
aElementOf0(sK73,szNzAzT0),
inference(superposition,[status(thm)],[c_486,c_3728]) ).
tcf(c_31664,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_31663,c_31630]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM618+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 04:59:05 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 8.67/2.63 % SZS status Started for theBenchmark.p
% 8.67/2.63 % SZS status Theorem for theBenchmark.p
% 8.67/2.63
% 8.67/2.63 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.67/2.63
% 8.67/2.63 % ------ iProver source info
% 8.67/2.63
% 8.67/2.63 % git: date: 2026-07-19 20:42:38 +0200
% 8.67/2.63 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.67/2.63 % git: non_committed_changes: false
% 8.67/2.63
% 8.67/2.63 % ------ Parsing...
% 8.67/2.63 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.67/2.63
% 8.67/2.63 % ------ Preprocessing... sup_sim: 16 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e %
% 8.67/2.63
% 8.67/2.63 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 8.67/2.63
% 8.67/2.63 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.67/2.63 % ------ Proving...
% 8.67/2.63 % ------ Problem Properties
% 8.67/2.63
% 8.67/2.63 %
% 8.67/2.63 % clauses 393
% 8.67/2.63 % conjectures 1
% 8.67/2.63 % EPR 80
% 8.67/2.63 % Horn 318
% 8.67/2.63 % unary 70
% 8.67/2.63 % binary 104
% 8.67/2.63 % lits 1196
% 8.67/2.63 % lits eq 176
% 8.67/2.63 % fd_pure 0
% 8.67/2.63 % fd_pseudo 0
% 8.67/2.63 % fd_cond 11
% 8.67/2.63 % fd_pseudo_cond 39
% 8.67/2.63 % AC symbols 0
% 8.67/2.63
% 8.67/2.63 % ------ Schedule dynamic 5 is on
% 8.67/2.63
% 8.67/2.63 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.67/2.63
% 8.67/2.63
% 8.67/2.63 % ------
% 8.67/2.63 % Current options:
% 8.67/2.63 % ------
% 8.67/2.63
% 8.67/2.63
% 8.67/2.63 %
% 8.67/2.63
% 8.67/2.63 % ------ Proving...
% 8.67/2.63 %
% 8.67/2.63
% 8.67/2.63 % SZS status Theorem for theBenchmark.p
% 8.67/2.63
% 8.67/2.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.67/2.63
% 8.67/2.63
%------------------------------------------------------------------------------