%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM578+1 : 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 : n014.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 02:26:05 PM UTC 2026
% Result : Theorem 4.12s 1.17s
% Output : CNFRefutation 4.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 30 ( 9 unt; 0 def)
% Number of atoms : 88 ( 29 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 110 ( 52 ~; 38 |; 11 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f84,axiom,
( aElementOf0(xj,szNzAzT0)
& aElementOf0(xi,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3856) ).
fof(f85,axiom,
( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3856_02) ).
fof(f86,conjecture,
( ! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X0),X1)
=> ( szmzizndt0(sdtlpdtrp0(xN,X1)) != szmzizndt0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) )
=> ( xi != xj
=> szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sdtlpdtrp0(xN,xj)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f87,negated_conjecture,
~ ( ! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X0),X1)
=> ( szmzizndt0(sdtlpdtrp0(xN,X1)) != szmzizndt0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) )
=> ( xi != xj
=> szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sdtlpdtrp0(xN,xj)) ) ),
inference(negated_conjecture,[status(cth)],[f86]) ).
fof(f102,plain,
( xi = xj
| sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi) ),
inference(ennf_transformation,[],[f85]) ).
fof(f103,plain,
( xi = xj
| sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi) ),
inference(flattening,[],[f102]) ).
fof(f104,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),X1)
| ( szmzizndt0(sdtlpdtrp0(xN,X1)) != szmzizndt0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& xi != xj
& szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)) ),
inference(ennf_transformation,[],[f87]) ).
fof(f105,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),X1)
| ( szmzizndt0(sdtlpdtrp0(xN,X1)) != szmzizndt0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& xi != xj
& szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)) ),
inference(flattening,[],[f104]) ).
fof(f274,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[],[f84]) ).
fof(f275,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f84]) ).
fof(f276,plain,
( xi = xj
| sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi) ),
inference(cnf_transformation,[],[f103]) ).
fof(f277,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),X1)
| szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f105]) ).
fof(f279,plain,
xi != xj,
inference(cnf_transformation,[],[f105]) ).
fof(f280,plain,
szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)),
inference(cnf_transformation,[],[f105]) ).
tcf(c_73,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f275]) ).
tcf(c_74,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[],[f274]) ).
tcf(c_75,plain,
( sdtlseqdt0(szszuzczcdt0(xj),xi)
| sdtlseqdt0(szszuzczcdt0(xi),xj)
| ( xi = xj ) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_76,negated_conjecture,
szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)),
inference(cnf_transformation,[],[f280]) ).
tcf(c_77,negated_conjecture,
xi != xj,
inference(cnf_transformation,[],[f279]) ).
tcf(c_79,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),X1)
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1)) ) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_311,plain,
( sdtlseqdt0(szszuzczcdt0(xj),xi)
| sdtlseqdt0(szszuzczcdt0(xi),xj) ),
inference(global_subsumption_just,[status(thm)],[c_75,c_77,c_75]) ).
tcf(c_9092,plain,
! [X0: $i] :
( ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xj),X0)
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,xi)) ) ),
inference(superposition,[status(thm)],[c_76,c_79]) ).
tcf(c_9093,plain,
! [X0: $i] :
( ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),xj)
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,xi)) ) ),
inference(superposition,[status(thm)],[c_76,c_79]) ).
tcf(c_9126,plain,
! [X0: $i] :
( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,xi)) )
| ~ sdtlseqdt0(szszuzczcdt0(xj),X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(global_subsumption_just,[status(thm)],[c_9092,c_74,c_9092]) ).
tcf(c_9127,plain,
! [X0: $i] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xj),X0)
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,xi)) ) ),
inference(renaming,[status(thm)],[c_9126]) ).
tcf(c_9136,plain,
( ~ aElementOf0(xi,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xj),xi) ),
inference(equality_resolution,[status(thm)],[c_9127]) ).
tcf(c_9143,plain,
! [X0: $i] :
( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,xi)) )
| ~ sdtlseqdt0(szszuzczcdt0(X0),xj)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(global_subsumption_just,[status(thm)],[c_9093,c_74,c_9093]) ).
tcf(c_9144,plain,
! [X0: $i] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),xj)
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,xi)) ) ),
inference(renaming,[status(thm)],[c_9143]) ).
tcf(c_9153,plain,
( ~ aElementOf0(xi,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xi),xj) ),
inference(equality_resolution,[status(thm)],[c_9144]) ).
tcf(c_9156,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_9153,c_9136,c_311,c_73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM578+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n014.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 04:43:33 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.39 Running first-order theorem proving
% 0.15/0.39 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
% 0.15/0.40
% 0.15/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.40
% 0.15/0.41 % Detected problem language: tptp
% 0.15/0.42 % Proving...
% 4.12/1.17 % SZS status Started for theBenchmark.p
% 4.12/1.17 % SZS status Theorem for theBenchmark.p
% 4.12/1.17
% 4.12/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.12/1.17
% 4.12/1.17 % ------ iProver source info
% 4.12/1.17
% 4.12/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 4.12/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.12/1.17 % git: non_committed_changes: false
% 4.12/1.17
% 4.12/1.17 % ------ Parsing...
% 4.12/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.12/1.17
% 4.12/1.17 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e %
% 4.12/1.17
% 4.12/1.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.12/1.17
% 4.12/1.17 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.12/1.17 % ------ Proving...
% 4.12/1.17 % ------ Problem Properties
% 4.12/1.17
% 4.12/1.17 %
% 4.12/1.17 % clauses 167
% 4.12/1.17 % conjectures 4
% 4.12/1.17 % EPR 39
% 4.12/1.17 % Horn 129
% 4.12/1.17 % unary 27
% 4.12/1.17 % binary 27
% 4.12/1.17 % lits 565
% 4.12/1.17 % lits eq 93
% 4.12/1.17 % fd_pure 0
% 4.12/1.17 % fd_pseudo 0
% 4.12/1.17 % fd_cond 8
% 4.12/1.17 % fd_pseudo_cond 22
% 4.12/1.17 % AC symbols 0
% 4.12/1.17
% 4.12/1.17 % ------ Schedule dynamic 5 is on
% 4.12/1.17
% 4.12/1.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.12/1.17
% 4.12/1.17
% 4.12/1.17 % ------
% 4.12/1.17 % Current options:
% 4.12/1.17 % ------
% 4.12/1.17
% 4.12/1.17
% 4.12/1.17 %
% 4.12/1.17
% 4.12/1.17 % ------ Proving...
% 4.12/1.17 %
% 4.12/1.17
% 4.12/1.17 % SZS status Theorem for theBenchmark.p
% 4.12/1.17
% 4.12/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.12/1.17
% 4.12/1.17
%------------------------------------------------------------------------------