%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM505+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 : n013.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 02:25:22 PM UTC 2026
% Result : Theorem 4.05s 1.29s
% Output : CNFRefutation 4.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 11 unt; 0 def)
% Number of atoms : 95 ( 30 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 114 ( 48 ~; 36 |; 26 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 18 !; 6 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETotal) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f45,axiom,
( xk = sdtsldt0(sdtasdt0(xn,xm),xp)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& aNaturalNumber0(xk) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2306) ).
fof(f50,conjecture,
( ~ ( sdtlseqdt0(xp,xk)
| ? [X0] :
( sdtpldt0(xp,X0) = xk
& aNaturalNumber0(X0) ) )
=> ( ( sdtlseqdt0(xk,xp)
| ? [X0] :
( sdtpldt0(xk,X0) = xp
& aNaturalNumber0(X0) ) )
& xk != xp ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f51,negated_conjecture,
~ ( ~ ( sdtlseqdt0(xp,xk)
| ? [X0] :
( sdtpldt0(xp,X0) = xk
& aNaturalNumber0(X0) ) )
=> ( ( sdtlseqdt0(xk,xp)
| ? [X0] :
( sdtpldt0(xk,X0) = xp
& aNaturalNumber0(X0) ) )
& xk != xp ) ),
inference(negated_conjecture,[status(cth)],[f50]) ).
fof(f59,plain,
~ ( ~ ( sdtlseqdt0(xp,xk)
| ? [X0] :
( sdtpldt0(xp,X0) = xk
& aNaturalNumber0(X0) ) )
=> ( ( sdtlseqdt0(xk,xp)
| ? [X1] :
( xp = sdtpldt0(xk,X1)
& aNaturalNumber0(X1) ) )
& xk != xp ) ),
inference(rectify,[],[f51]) ).
fof(f94,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f95,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f94]) ).
fof(f133,plain,
( ~ sdtlseqdt0(xp,xk)
& ! [X0] :
( sdtpldt0(xp,X0) != xk
| ~ aNaturalNumber0(X0) )
& ( ( ~ sdtlseqdt0(xk,xp)
& ! [X1] :
( xp != sdtpldt0(xk,X1)
| ~ aNaturalNumber0(X1) ) )
| xp = xk ) ),
inference(ennf_transformation,[],[f59]) ).
fof(f134,plain,
( ~ sdtlseqdt0(xp,xk)
& ! [X0] :
( sdtpldt0(xp,X0) != xk
| ~ aNaturalNumber0(X0) )
& ( ( ~ sdtlseqdt0(xk,xp)
& ! [X1] :
( xp != sdtpldt0(xk,X1)
| ~ aNaturalNumber0(X1) ) )
| xp = xk ) ),
inference(flattening,[],[f133]) ).
fof(f165,plain,
( ~ sdtlseqdt0(xp,xk)
& ! [X1] :
( xk != sdtpldt0(xp,X1)
| ~ aNaturalNumber0(X1) )
& ( ( ~ sdtlseqdt0(xk,xp)
& ! [X0] :
( xp != sdtpldt0(xk,X0)
| ~ aNaturalNumber0(X0) ) )
| xp = xk ) ),
inference(rectify,[],[f134]) ).
fof(f199,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f234,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f275,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f45]) ).
fof(f294,plain,
~ sdtlseqdt0(xp,xk),
inference(cnf_transformation,[],[f165]) ).
fof(f296,plain,
( ~ sdtlseqdt0(xk,xp)
| xp = xk ),
inference(cnf_transformation,[],[f165]) ).
fof(f297,plain,
! [X0] :
( xp != sdtpldt0(xk,X0)
| ~ aNaturalNumber0(X0)
| xp = xk ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_118,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f234]) ).
tcf(c_155,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f275]) ).
tcf(c_176,negated_conjecture,
! [X0: $i] :
( ( xp = xk )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xk,X0) != xp ) ),
inference(cnf_transformation,[],[f297]) ).
tcf(c_177,negated_conjecture,
( ( xp = xk )
| ~ sdtlseqdt0(xk,xp) ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_179,negated_conjecture,
~ sdtlseqdt0(xp,xk),
inference(cnf_transformation,[],[f294]) ).
tcf(c_260,plain,
( sdtlseqdt0(xk,xp)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_83,c_179]) ).
tcf(c_263,negated_conjecture,
xp = xk,
inference(global_subsumption_just,[status(thm)],[c_176,c_155,c_118,c_177,c_260]) ).
tcf(c_269,plain,
~ sdtlseqdt0(xp,xp),
inference(superposition,[status(thm)],[c_263,c_179]) ).
tcf(c_709,plain,
sdtlseqdt0(xk,xp),
inference(global_subsumption_just,[status(thm)],[c_260,c_155,c_118,c_260]) ).
tcf(c_711,plain,
sdtlseqdt0(xp,xp),
inference(light_normalisation,[status(thm)],[c_709,c_263]) ).
tcf(c_725,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_269,c_711]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM505+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 : n013.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 04:19:42 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 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
% 0.10/0.43 % Proving...
% 4.05/1.29 % SZS status Started for theBenchmark.p
% 4.05/1.29 % SZS status Theorem for theBenchmark.p
% 4.05/1.29
% 4.05/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.05/1.29
% 4.05/1.29 % ------ iProver source info
% 4.05/1.29
% 4.05/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 4.05/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.05/1.29 % git: non_committed_changes: false
% 4.05/1.29
% 4.05/1.29 % ------ Parsing...
% 4.05/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.05/1.29 % ------ Proving...
% 4.05/1.29 % ------ Problem Properties
% 4.05/1.29
% 4.05/1.29 %
% 4.05/1.29 % clauses 131
% 4.05/1.29 % conjectures 4
% 4.05/1.29 % EPR 49
% 4.05/1.29 % Horn 89
% 4.05/1.29 % unary 42
% 4.05/1.29 % binary 18
% 4.05/1.29 % lits 437
% 4.05/1.29 % lits eq 136
% 4.05/1.29 % fd_pure 0
% 4.05/1.29 % fd_pseudo 0
% 4.05/1.29 % fd_cond 24
% 4.05/1.29 % fd_pseudo_cond 15
% 4.05/1.29 % AC symbols 0
% 4.05/1.29
% 4.05/1.29 % ------ Input Options Time Limit: Unbounded
% 4.05/1.29
% 4.05/1.29
% 4.05/1.29 % ------
% 4.05/1.29 % Current options:
% 4.05/1.29 % ------
% 4.05/1.29
% 4.05/1.29
% 4.05/1.29 %
% 4.05/1.29
% 4.05/1.29 % ------ Proving...
% 4.05/1.29 %
% 4.05/1.29
% 4.05/1.29 % SZS status Theorem for theBenchmark.p
% 4.05/1.29
% 4.05/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.05/1.29
% 4.05/1.29
%------------------------------------------------------------------------------