%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM576+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 : n016.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 6.38s 2.00s
% Output : CNFRefutation 6.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 13 unt; 0 def)
% Number of atoms : 83 ( 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/sandbox/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/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
fof(f84,axiom,
( aElementOf0(xj,szNzAzT0)
& aElementOf0(xi,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3856) ).
fof(f85,conjecture,
( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi) ) ),
file('/export/starexec/sandbox/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(f101,plain,
( xi != xj
& ~ sdtlseqdt0(szszuzczcdt0(xi),xj)
& ~ sdtlseqdt0(szszuzczcdt0(xj),xi) ),
inference(ennf_transformation,[],[f86]) ).
fof(f102,plain,
( xi != xj
& ~ sdtlseqdt0(szszuzczcdt0(xi),xj)
& ~ sdtlseqdt0(szszuzczcdt0(xj),xi) ),
inference(flattening,[],[f101]) ).
fof(f140,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f141,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f140]) ).
fof(f165,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f35]) ).
fof(f166,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f165]) ).
fof(f271,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[],[f84]) ).
fof(f272,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f84]) ).
fof(f273,plain,
xi != xj,
inference(cnf_transformation,[],[f102]) ).
fof(f274,plain,
~ sdtlseqdt0(szszuzczcdt0(xi),xj),
inference(cnf_transformation,[],[f102]) ).
fof(f275,plain,
~ sdtlseqdt0(szszuzczcdt0(xj),xi),
inference(cnf_transformation,[],[f102]) ).
fof(f326,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f141]) ).
fof(f355,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_73,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f272]) ).
tcf(c_74,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[],[f271]) ).
tcf(c_75,negated_conjecture,
~ sdtlseqdt0(szszuzczcdt0(xj),xi),
inference(cnf_transformation,[],[f275]) ).
tcf(c_76,negated_conjecture,
~ sdtlseqdt0(szszuzczcdt0(xi),xj),
inference(cnf_transformation,[],[f274]) ).
tcf(c_77,negated_conjecture,
xi != xj,
inference(cnf_transformation,[],[f273]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_157,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f355]) ).
tcf(c_10951,plain,
( ( xi = xj )
| ~ sdtlseqdt0(xj,xi)
| ~ sdtlseqdt0(xi,xj)
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(instantiation,[status(thm)],[c_157]) ).
tcf(c_11082,plain,
( sdtlseqdt0(xi,xj)
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[status(thm)],[c_128,c_75]) ).
tcf(c_11083,plain,
( sdtlseqdt0(xj,xi)
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[status(thm)],[c_128,c_76]) ).
tcf(c_11086,plain,
sdtlseqdt0(xj,xi),
inference(forward_subsumption_resolution,[status(thm)],[c_11083,c_74,c_73]) ).
tcf(c_11087,plain,
sdtlseqdt0(xi,xj),
inference(forward_subsumption_resolution,[status(thm)],[c_11082,c_74,c_73]) ).
tcf(c_11096,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_11086,c_11087,c_10951,c_77,c_73,c_74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM576+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.44 % Computer : n016.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Thu Sep 24 04:47:57 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.50 Running first-order theorem proving
% 0.17/0.51 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
% 0.25/0.52
% 0.25/0.52 % ======== iProver multi-core TPTP/SMT =========
% 0.25/0.52
% 0.25/0.53 % Detected problem language: tptp
% 0.25/0.54 % Proving...
% 6.38/2.00 % SZS status Started for theBenchmark.p
% 6.38/2.00 % SZS status Theorem for theBenchmark.p
% 6.38/2.00
% 6.38/2.00 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.38/2.00
% 6.38/2.00 % ------ iProver source info
% 6.38/2.00
% 6.38/2.00 % git: date: 2026-07-19 20:42:38 +0200
% 6.38/2.00 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.38/2.00 % git: non_committed_changes: false
% 6.38/2.00
% 6.38/2.00 % ------ Parsing...
% 6.38/2.00 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.38/2.00
% 6.38/2.00 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e %
% 6.38/2.00
% 6.38/2.00 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 6.38/2.00
% 6.38/2.00 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 6.38/2.00 % ------ Proving...
% 6.38/2.00 % ------ Problem Properties
% 6.38/2.00
% 6.38/2.00 %
% 6.38/2.00 % clauses 165
% 6.38/2.00 % conjectures 3
% 6.38/2.00 % EPR 39
% 6.38/2.00 % Horn 128
% 6.38/2.00 % unary 28
% 6.38/2.00 % binary 26
% 6.38/2.00 % lits 556
% 6.38/2.00 % lits eq 91
% 6.38/2.00 % fd_pure 0
% 6.38/2.00 % fd_pseudo 0
% 6.38/2.00 % fd_cond 8
% 6.38/2.00 % fd_pseudo_cond 22
% 6.38/2.00 % AC symbols 0
% 6.38/2.00
% 6.38/2.00 % ------ Schedule dynamic 5 is on
% 6.38/2.00
% 6.38/2.00 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.38/2.00
% 6.38/2.00
% 6.38/2.00 % ------
% 6.38/2.00 % Current options:
% 6.38/2.00 % ------
% 6.38/2.00
% 6.38/2.00
% 6.38/2.00 %
% 6.38/2.00
% 6.38/2.00 % ------ Proving...
% 6.38/2.00 %
% 6.38/2.00
% 6.38/2.00 % SZS status Theorem for theBenchmark.p
% 6.38/2.00
% 6.38/2.00 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.38/2.00
% 6.38/2.00
%------------------------------------------------------------------------------