%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM576+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 : 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 02:26:05 PM UTC 2026
% Result : Theorem 10.58s 2.31s
% Output : CNFRefutation 10.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 11 unt; 0 def)
% Number of atoms : 81 ( 12 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 99 ( 47 ~; 39 |; 8 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
fof(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
fof(f84,axiom,
( aElementOf0(xj,szNzAzT0)
& aElementOf0(xi,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3856) ).
fof(f85,conjecture,
( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f86,negated_conjecture,
~ ( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi) ) ),
inference(negated_conjecture,[status(cth)],[f85]) ).
fof(f138,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f35]) ).
fof(f139,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f138]) ).
fof(f142,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f143,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f142]) ).
fof(f206,plain,
( xi != xj
& ~ sdtlseqdt0(szszuzczcdt0(xi),xj)
& ~ sdtlseqdt0(szszuzczcdt0(xj),xi) ),
inference(ennf_transformation,[],[f86]) ).
fof(f207,plain,
( xi != xj
& ~ sdtlseqdt0(szszuzczcdt0(xi),xj)
& ~ sdtlseqdt0(szszuzczcdt0(xj),xi) ),
inference(flattening,[],[f206]) ).
fof(f363,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f139]) ).
fof(f365,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
fof(f527,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[],[f84]) ).
fof(f528,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f84]) ).
fof(f529,plain,
xi != xj,
inference(cnf_transformation,[],[f207]) ).
fof(f530,plain,
~ sdtlseqdt0(szszuzczcdt0(xi),xj),
inference(cnf_transformation,[],[f207]) ).
fof(f531,plain,
~ sdtlseqdt0(szszuzczcdt0(xj),xi),
inference(cnf_transformation,[],[f207]) ).
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,[],[f363]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f365]) ).
tcf(c_273,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f528]) ).
tcf(c_274,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[],[f527]) ).
tcf(c_275,negated_conjecture,
~ sdtlseqdt0(szszuzczcdt0(xj),xi),
inference(cnf_transformation,[],[f531]) ).
tcf(c_276,negated_conjecture,
~ sdtlseqdt0(szszuzczcdt0(xi),xj),
inference(cnf_transformation,[],[f530]) ).
tcf(c_277,negated_conjecture,
xi != xj,
inference(cnf_transformation,[],[f529]) ).
tcf(c_8061,plain,
( ( xi = xj )
| ~ sdtlseqdt0(xj,xi)
| ~ sdtlseqdt0(xi,xj)
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_12083,plain,
( sdtlseqdt0(xi,xj)
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[status(thm)],[c_111,c_275]) ).
tcf(c_12084,plain,
( sdtlseqdt0(xj,xi)
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[status(thm)],[c_111,c_276]) ).
tcf(c_12129,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_12083,c_12084,c_8061,c_277,c_273,c_274]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM576+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 : n009.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 04:42:58 UTC 2026
% 0.10/0.37 % 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 10.58/2.31 % SZS status Started for theBenchmark.p
% 10.58/2.31 % SZS status Theorem for theBenchmark.p
% 10.58/2.31
% 10.58/2.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.58/2.31
% 10.58/2.31 % ------ iProver source info
% 10.58/2.31
% 10.58/2.31 % git: date: 2026-07-19 20:42:38 +0200
% 10.58/2.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.58/2.31 % git: non_committed_changes: false
% 10.58/2.31
% 10.58/2.31 % ------ Parsing...
% 10.58/2.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.58/2.31
% 10.58/2.31 % ------ Preprocessing... sup_sim: 0 pe_s pe:1:0s pe:2:0s pe_e %
% 10.58/2.31
% 10.58/2.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e scvd_s sp: 5 0s scvd_e snvd_s sp: 0 0s snvd_e %
% 10.58/2.31
% 10.58/2.31 % ------ Preprocessing...
% 10.58/2.31 % ------ Proving...
% 10.58/2.31 % ------ Problem Properties
% 10.58/2.31
% 10.58/2.31 %
% 10.58/2.31 % clauses 259
% 10.58/2.31 % conjectures 3
% 10.58/2.31 % EPR 57
% 10.58/2.31 % Horn 204
% 10.58/2.31 % unary 30
% 10.58/2.31 % binary 82
% 10.58/2.31 % lits 829
% 10.58/2.31 % lits eq 101
% 10.58/2.31 % fd_pure 0
% 10.58/2.31 % fd_pseudo 0
% 10.58/2.31 % fd_cond 10
% 10.58/2.31 % fd_pseudo_cond 30
% 10.58/2.31 % AC symbols 0
% 10.58/2.31
% 10.58/2.31 % ------ Input Options Time Limit: Unbounded
% 10.58/2.31
% 10.58/2.31
% 10.58/2.31 % ------
% 10.58/2.31 % Current options:
% 10.58/2.31 % ------
% 10.58/2.31
% 10.58/2.31
% 10.58/2.31 %
% 10.58/2.31
% 10.58/2.31 % ------ Proving...
% 10.58/2.31 %
% 10.58/2.31
% 10.58/2.31 % SZS status Theorem for theBenchmark.p
% 10.58/2.31
% 10.58/2.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.58/2.31
% 10.58/2.31
%------------------------------------------------------------------------------