%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM532+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 : n004.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 02:25:52 PM UTC 2026
% Result : Theorem 1.16s 6.28s
% Output : CNFRefutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 85 ( 4 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 110 ( 48 ~; 44 |; 14 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 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 : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn 30 !; 3 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f12,axiom,
aSet0(xA),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__467) ).
fof(f13,conjecture,
aSubsetOf0(xA,xA),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f14,negated_conjecture,
~ aSubsetOf0(xA,xA),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f19,plain,
~ aSubsetOf0(xA,xA),
inference(flattening,[],[f14]) ).
fof(f24,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f31,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ~ aSubsetOf0(X1,X0)
| ( ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) )
& aSet0(X1) ) )
& ( ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) )
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f32,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ~ aSubsetOf0(X1,X0)
| ( ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) )
& aSet0(X1) ) )
& ( ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) )
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ) ) ),
inference(flattening,[],[f31]) ).
fof(f33,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ~ aSubsetOf0(X1,X0)
| ( ! [X3] :
( ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aSet0(X1) ) )
& ( ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) )
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ) ) ),
inference(rectify,[],[f32]) ).
fof(f34,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ~ aSubsetOf0(X1,X0)
| ( ! [X3] :
( ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aSet0(X1) ) )
& ( ( aElementOf0(sK1(X0,X1),X1)
& ~ aElementOf0(sK1(X0,X1),X0) )
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f33]) ).
fof(f41,plain,
! [X0,X1] :
( ~ aSet0(X0)
| aElementOf0(sK1(X0,X1),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f42,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aElementOf0(sK1(X0,X1),X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f44,plain,
aSet0(xA),
inference(cnf_transformation,[],[f12]) ).
fof(f45,plain,
~ aSubsetOf0(xA,xA),
inference(cnf_transformation,[],[f19]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK1(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_58,plain,
aSet0(xA),
inference(cnf_transformation,[],[f44]) ).
tcf(c_59,negated_conjecture,
~ aSubsetOf0(xA,xA),
inference(cnf_transformation,[],[f45]) ).
tcf(c_204,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK1(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ( X1 != xA )
| ( X0 != xA ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_59]) ).
tcf(c_205,plain,
( aElementOf0(sK1(xA,xA),xA)
| ~ aSet0(xA) ),
inference(unflattening,[status(thm)],[c_204]) ).
tcf(c_211,plain,
! [X0: $i,X1: $i] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(sK1(X0,X1),X0)
| ( X1 != xA )
| ( X0 != xA ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_59]) ).
tcf(c_212,plain,
( ~ aSet0(xA)
| ~ aElementOf0(sK1(xA,xA),xA) ),
inference(unflattening,[status(thm)],[c_211]) ).
tcf(c_213,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_212,c_205,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM532+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.38 % Computer : n004.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Thu Sep 24 04:28:58 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.41 Running first-order theorem proving
% 0.14/5.41 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
% 0.14/5.42
% 0.14/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.42
% 0.14/5.42 % Detected problem language: tptp
% 0.14/5.44 % Proving...
% 1.16/6.28 % SZS status Started for theBenchmark.p
% 1.16/6.28 % SZS status Theorem for theBenchmark.p
% 1.16/6.28
% 1.16/6.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.16/6.28
% 1.16/6.28 % ------ iProver source info
% 1.16/6.28
% 1.16/6.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.16/6.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.16/6.28 % git: non_committed_changes: false
% 1.16/6.28
% 1.16/6.28 % ------ Parsing...
% 1.16/6.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.16/6.28
% 1.16/6.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 4 0s sf_e pe_s %
% 1.16/6.28
% 1.16/6.28 % SZS status Theorem for theBenchmark.p
% 1.16/6.28
% 1.16/6.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.16/6.28
% 1.16/6.28
%------------------------------------------------------------------------------