%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM587+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 : n005.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 02:26:07 PM UTC 2026
% Result : Theorem 0.30s 1.10s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 15 unt; 0 def)
% Number of atoms : 81 ( 4 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 88 ( 35 ~; 31 |; 18 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 25 !; 3 ?; 4 :)
% 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(f73,axiom,
( isFinite0(xT)
& aSet0(xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3291) ).
fof(f76,axiom,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aFunction0(xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3453) ).
fof(f90,axiom,
( aElementOf0(sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),sdtlcdtrc0(xc,szDzozmdt0(xc)))
& xx = sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4263) ).
fof(f91,conjecture,
aElementOf0(xx,xT),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f92,negated_conjecture,
~ aElementOf0(xx,xT),
inference(negated_conjecture,[status(cth)],[f91]) ).
fof(f100,plain,
~ aElementOf0(xx,xT),
inference(flattening,[],[f92]) ).
fof(f107,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f223,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,[],[f107]) ).
fof(f224,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,[],[f223]) ).
fof(f225,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,[],[f224]) ).
fof(f226,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ~ aSubsetOf0(X1,X0)
| ( ! [X3] :
( ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aSet0(X1) ) )
& ( ( aElementOf0(sK5(X0,X1),X1)
& ~ aElementOf0(sK5(X0,X1),X0) )
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f225]) ).
fof(f286,plain,
! [X3,X0,X1] :
( ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0) ),
inference(cnf_transformation,[],[f226]) ).
fof(f423,plain,
aSet0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f427,plain,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(cnf_transformation,[],[f76]) ).
fof(f457,plain,
aElementOf0(sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(cnf_transformation,[],[f90]) ).
fof(f458,plain,
xx = sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(cnf_transformation,[],[f90]) ).
fof(f459,plain,
~ aElementOf0(xx,xT),
inference(cnf_transformation,[],[f100]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,X2)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2)
| ~ aElementOf0(X0,X1) ),
inference(cnf_transformation,[],[f286]) ).
tcf(c_192,plain,
aSet0(xT),
inference(cnf_transformation,[],[f423]) ).
tcf(c_199,plain,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(cnf_transformation,[],[f427]) ).
tcf(c_227,plain,
sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = xx,
inference(cnf_transformation,[],[f458]) ).
tcf(c_228,plain,
aElementOf0(sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(cnf_transformation,[],[f457]) ).
tcf(c_229,negated_conjecture,
~ aElementOf0(xx,xT),
inference(cnf_transformation,[],[f459]) ).
tcf(c_621,plain,
aElementOf0(xx,sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(light_normalisation,[status(thm)],[c_228,c_227]) ).
tcf(c_677,plain,
! [X0: $i] :
( aElementOf0(xx,X0)
| ~ aSet0(X0)
| ~ aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),X0) ),
inference(superposition,[status(thm)],[c_621,c_59]) ).
tcf(c_1238,plain,
( aElementOf0(xx,xT)
| ~ aSet0(xT) ),
inference(superposition,[status(thm)],[c_199,c_677]) ).
tcf(c_1239,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1238,c_229,c_192]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM587+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n005.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Thu Sep 24 04:46:18 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 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...
% 0.30/1.10 % SZS status Started for theBenchmark.p
% 0.30/1.10 % SZS status Theorem for theBenchmark.p
% 0.30/1.10
% 0.30/1.10 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.30/1.10
% 0.30/1.10 % ------ iProver source info
% 0.30/1.10
% 0.30/1.10 % git: date: 2026-07-19 20:42:38 +0200
% 0.30/1.10 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.30/1.10 % git: non_committed_changes: false
% 0.30/1.10
% 0.30/1.10 % ------ Parsing...
% 0.30/1.10 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.30/1.10 % ------ Proving...
% 0.30/1.10 % ------ Problem Properties
% 0.30/1.10
% 0.30/1.10 %
% 0.30/1.10 % clauses 181
% 0.30/1.10 % conjectures 1
% 0.30/1.10 % EPR 44
% 0.30/1.10 % Horn 142
% 0.30/1.10 % unary 31
% 0.30/1.10 % binary 26
% 0.30/1.10 % lits 629
% 0.30/1.10 % lits eq 94
% 0.30/1.10 % fd_pure 0
% 0.30/1.10 % fd_pseudo 0
% 0.30/1.10 % fd_cond 10
% 0.30/1.10 % fd_pseudo_cond 25
% 0.30/1.10 % AC symbols 0
% 0.30/1.10
% 0.30/1.10 % ------ Input Options Time Limit: Unbounded
% 0.30/1.10
% 0.30/1.10
% 0.30/1.10 % ------
% 0.30/1.10 % Current options:
% 0.30/1.10 % ------
% 0.30/1.10
% 0.30/1.10
% 0.30/1.10 %
% 0.30/1.10
% 0.30/1.10 % ------ Proving...
% 0.30/1.10 %
% 0.30/1.10
% 0.30/1.10 % ------ Proving...
% 0.30/1.10 %
% 0.30/1.10
% 0.30/1.10 % ------ Proving...
% 0.30/1.10 %
% 0.30/1.10
% 0.30/1.10 % SZS status Theorem for theBenchmark.p
% 0.30/1.10
% 0.30/1.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.30/1.10
% 0.30/1.10
%------------------------------------------------------------------------------