%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM630+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n017.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 02:26:18 PM UTC 2026
% Result : Theorem 14.18s 5.07s
% Output : CNFRefutation 14.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 45 ( 21 unt; 0 def)
% Number of atoms : 118 ( 43 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 126 ( 53 ~; 49 |; 19 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 2 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 : 22 ( 22 usr; 13 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn 35 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
fof(f34,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessRefl) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
fof(f80,axiom,
( szszuzczcdt0(xk) = xK
& aElementOf0(xk,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3533) ).
fof(f86,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSet0(X1) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& szDzozmdt0(sdtlpdtrp0(xC,X0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)
& aFunction0(sdtlpdtrp0(xC,X0)) ) )
& szDzozmdt0(xC) = szNzAzT0
& aFunction0(xC) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4151) ).
fof(f104,axiom,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& aSet0(xP) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5164) ).
fof(f111,axiom,
( sdtlpdtrp0(xe,xn) = xp
& aElementOf0(xn,szNzAzT0)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5309) ).
fof(f114,axiom,
xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5585) ).
fof(f115,axiom,
aElementOf0(xP,slbdtsldtrb0(xD,xk)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5599) ).
fof(f116,conjecture,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f117,negated_conjecture,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
inference(negated_conjecture,[status(cth)],[f116]) ).
fof(f125,plain,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
inference(flattening,[],[f117]) ).
fof(f166,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f167,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f35]) ).
fof(f168,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f167]) ).
fof(f236,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( ! [X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ aSet0(X1)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& szDzozmdt0(sdtlpdtrp0(xC,X0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)
& aFunction0(sdtlpdtrp0(xC,X0)) ) )
& szDzozmdt0(xC) = szNzAzT0
& aFunction0(xC) ),
inference(ennf_transformation,[],[f86]) ).
fof(f237,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( ! [X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ aSet0(X1)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& szDzozmdt0(sdtlpdtrp0(xC,X0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)
& aFunction0(sdtlpdtrp0(xC,X0)) ) )
& szDzozmdt0(xC) = szNzAzT0
& aFunction0(xC) ),
inference(flattening,[],[f236]) ).
fof(f377,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f378,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f168]) ).
fof(f476,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f487,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ aSet0(X1)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f237]) ).
fof(f524,plain,
aSet0(xP),
inference(cnf_transformation,[],[f104]) ).
fof(f532,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f111]) ).
fof(f536,plain,
xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
inference(cnf_transformation,[],[f114]) ).
fof(f537,plain,
aElementOf0(xP,slbdtsldtrb0(xD,xk)),
inference(cnf_transformation,[],[f115]) ).
fof(f538,plain,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
inference(cnf_transformation,[],[f125]) ).
tcf(c_108,plain,
! [X0: $i] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f377]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f378]) ).
tcf(c_206,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f476]) ).
tcf(c_222,plain,
! [X0: $i,X1: $i] :
( ( sdtlpdtrp0(xc,sdtpldt0(X0,szmzizndt0(sdtlpdtrp0(xN,X1)))) = sdtlpdtrp0(sdtlpdtrp0(xC,X1),X0) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ),
inference(cnf_transformation,[],[f487]) ).
tcf(c_254,plain,
aSet0(xP),
inference(cnf_transformation,[],[f524]) ).
tcf(c_263,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f532]) ).
tcf(c_267,plain,
sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))) = xD,
inference(cnf_transformation,[],[f536]) ).
tcf(c_268,plain,
aElementOf0(xP,slbdtsldtrb0(xD,xk)),
inference(cnf_transformation,[],[f537]) ).
tcf(c_269,negated_conjecture,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
inference(cnf_transformation,[],[f538]) ).
tcf(c_12840,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_12844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(X0,X2)
| ~ aElementOf0(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_12858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( slbdtsldtrb0(X0,X2) = slbdtsldtrb0(X1,X3) )
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_14377,plain,
( ( sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) )
| ~ aSet0(xP)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xP,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),xk)) ),
inference(instantiation,[status(thm)],[c_222]) ).
tcf(c_14463,plain,
! [X0: $i,X1: $i] :
( aElementOf0(xP,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),xk))
| ~ aElementOf0(X1,X0)
| ( xP != X1 )
| ( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),xk) != X0 ) ),
inference(instantiation,[status(thm)],[c_12844]) ).
tcf(c_15188,plain,
( aElementOf0(xP,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),xk))
| ~ aElementOf0(xP,slbdtsldtrb0(xD,xk))
| ( xP != xP )
| ( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),xk) != slbdtsldtrb0(xD,xk) ) ),
inference(instantiation,[status(thm)],[c_14463]) ).
tcf(c_16184,plain,
xP = xP,
inference(instantiation,[status(thm)],[c_12840]) ).
tcf(c_16655,plain,
sdtlseqdt0(xk,xk),
inference(superposition,[status(thm)],[c_206,c_108]) ).
tcf(c_19296,plain,
( ( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),xk) = slbdtsldtrb0(xD,xk) )
| ( xk != xk )
| ( sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))) != xD ) ),
inference(instantiation,[status(thm)],[c_12858]) ).
tcf(c_23504,plain,
( ( xk = xk )
| ~ sdtlseqdt0(xk,xk)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_23507,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_23504,c_19296,c_16655,c_16184,c_15188,c_14377,c_269,c_267,c_268,c_206,c_263,c_254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM630+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.19/0.44 % Computer : n017.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Thu Sep 24 04:55:30 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.44 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.19/0.50 Running first-order theorem proving
% 0.19/0.50 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
% 0.26/0.52
% 0.26/0.52 % ======== iProver multi-core TPTP/SMT =========
% 0.26/0.52
% 0.26/0.52 % Detected problem language: tptp
% 0.26/0.54 % Proving...
% 14.18/5.07 % SZS status Started for theBenchmark.p
% 14.18/5.07 % SZS status Theorem for theBenchmark.p
% 14.18/5.07
% 14.18/5.07 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 14.18/5.07
% 14.18/5.07 % ------ iProver source info
% 14.18/5.07
% 14.18/5.07 % git: date: 2026-07-19 20:42:38 +0200
% 14.18/5.07 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 14.18/5.07 % git: non_committed_changes: false
% 14.18/5.07
% 14.18/5.07 % ------ Parsing...
% 14.18/5.07 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 14.18/5.07
% 14.18/5.07 % ------ Preprocessing... sup_sim: 3 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 %
% 14.18/5.07
% 14.18/5.07 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 14.18/5.07
% 14.18/5.07 % ------ Preprocessing... sf_s rm: 1 0s sf_e
% 14.18/5.07 % ------ Proving...
% 14.18/5.07 % ------ Problem Properties
% 14.18/5.07
% 14.18/5.07 %
% 14.18/5.07 % clauses 216
% 14.18/5.07 % conjectures 1
% 14.18/5.07 % EPR 53
% 14.18/5.07 % Horn 177
% 14.18/5.07 % unary 58
% 14.18/5.07 % binary 32
% 14.18/5.07 % lits 671
% 14.18/5.07 % lits eq 111
% 14.18/5.07 % fd_pure 0
% 14.18/5.07 % fd_pseudo 0
% 14.18/5.07 % fd_cond 10
% 14.18/5.07 % fd_pseudo_cond 25
% 14.18/5.07 % AC symbols 0
% 14.18/5.07
% 14.18/5.07 % ------ Input Options Time Limit: Unbounded
% 14.18/5.07
% 14.18/5.07
% 14.18/5.07 % ------
% 14.18/5.07 % Current options:
% 14.18/5.07 % ------
% 14.18/5.07
% 14.18/5.07
% 14.18/5.07 %
% 14.18/5.07
% 14.18/5.07 % ------ Proving...
% 14.18/5.07 %
% 14.18/5.07
% 14.18/5.07 % SZS status Theorem for theBenchmark.p
% 14.18/5.07
% 14.18/5.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.18/5.07
% 14.18/5.07
%------------------------------------------------------------------------------