%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM571+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 : n020.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 02:26:04 PM UTC 2026
% Result : Theorem 0.93s 1.28s
% Output : CNFRefutation 0.93s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f221ERROR: Could not build tree for root c_2212ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) )
& aSet0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
fof(f84,axiom,
( xi != sz00
=> ( isCountable0(sdtlpdtrp0(xN,xi))
& aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> aElementOf0(X0,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,xi))
& ? [X0] :
( szszuzczcdt0(X0) = xi
& aElementOf0(X0,szNzAzT0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3702_02) ).
fof(f85,conjecture,
( isCountable0(sdtlpdtrp0(xN,xi))
& ( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| ( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> aElementOf0(X0,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,xi)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f86,negated_conjecture,
~ ( isCountable0(sdtlpdtrp0(xN,xi))
& ( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| ( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> aElementOf0(X0,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,xi)) ) ) ),
inference(negated_conjecture,[status(cth)],[f85]) ).
fof(f97,plain,
( xi != sz00
=> ( isCountable0(sdtlpdtrp0(xN,xi))
& aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,xi))
& ? [X0] :
( szszuzczcdt0(X0) = xi
& aElementOf0(X0,szNzAzT0) ) ) ),
inference(rectify,[],[f84]) ).
fof(f197,plain,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) )
& aSet0(xS) ),
inference(ennf_transformation,[],[f75]) ).
fof(f206,plain,
( sz00 = xi
| ( isCountable0(sdtlpdtrp0(xN,xi))
& aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& ! [X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
| aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,xi))
& ? [X0] :
( szszuzczcdt0(X0) = xi
& aElementOf0(X0,szNzAzT0) ) ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f207,plain,
( ~ isCountable0(sdtlpdtrp0(xN,xi))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& ( ? [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
& ~ aElementOf0(X0,szNzAzT0) )
| ~ aSet0(sdtlpdtrp0(xN,xi)) ) ) ),
inference(ennf_transformation,[],[f86]) ).
fof(f302,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ( aElementOf0(sK39(X0),sdtlpdtrp0(xN,X0))
& ~ aElementOf0(sK39(X0),szNzAzT0) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| sP9(X0) )
& sdtlpdtrp0(xN,sz00) = xS
& szDzozmdt0(xN) = szNzAzT0
& aFunction0(xN) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK39]),skolemize(X1,sK39(X0))],[f221]) ).
fof(f303,plain,
( sz00 = xi
| ( isCountable0(sdtlpdtrp0(xN,xi))
& aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& ! [X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
| aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,xi))
& xi = szszuzczcdt0(sK40)
& aElementOf0(sK40,szNzAzT0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40]),skolemize(X0,sK40)],[f206]) ).
fof(f304,plain,
( ~ isCountable0(sdtlpdtrp0(xN,xi))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& ( ( aElementOf0(sK41,sdtlpdtrp0(xN,xi))
& ~ aElementOf0(sK41,szNzAzT0) )
| ~ aSet0(sdtlpdtrp0(xN,xi)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK41]),skolemize(X0,sK41)],[f207]) ).
fof(f451,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f197]) ).
fof(f452,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f197]) ).
fof(f520,plain,
xS = sdtlpdtrp0(xN,sz00),
inference(cnf_transformation,[],[f302]) ).
fof(f528,plain,
( sz00 = xi
| isCountable0(sdtlpdtrp0(xN,xi)) ),
inference(cnf_transformation,[],[f303]) ).
fof(f529,plain,
( sz00 = xi
| aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(cnf_transformation,[],[f303]) ).
fof(f530,plain,
! [X1] :
( sz00 = xi
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
| aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f303]) ).
fof(f533,plain,
( sz00 = xi
| aElementOf0(sK40,szNzAzT0) ),
inference(cnf_transformation,[],[f303]) ).
fof(f534,plain,
( ~ isCountable0(sdtlpdtrp0(xN,xi))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(cnf_transformation,[],[f304]) ).
tcf(c_197,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f452]) ).
tcf(c_198,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f451]) ).
tcf(c_263,plain,
sdtlpdtrp0(xN,sz00) = xS,
inference(cnf_transformation,[],[f520]) ).
tcf(c_272,plain,
( aElementOf0(sK40,szNzAzT0)
| ( sz00 = xi ) ),
inference(cnf_transformation,[],[f533]) ).
tcf(c_275,plain,
! [X0: $i] :
( aElementOf0(X0,szNzAzT0)
| ( sz00 = xi )
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) ),
inference(cnf_transformation,[],[f530]) ).
tcf(c_276,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| ( sz00 = xi ) ),
inference(cnf_transformation,[],[f529]) ).
tcf(c_277,plain,
( isCountable0(sdtlpdtrp0(xN,xi))
| ( sz00 = xi ) ),
inference(cnf_transformation,[],[f528]) ).
tcf(c_280,negated_conjecture,
( ~ isCountable0(sdtlpdtrp0(xN,xi))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(cnf_transformation,[],[f534]) ).
tcf(c_453,plain,
sz00 = xi,
inference(global_subsumption_just,[status(thm)],[c_272,c_277,c_276,c_280]) ).
tcf(c_465,plain,
sz00 = xi,
inference(global_subsumption_just,[status(thm)],[c_275,c_453]) ).
tcf(c_2021,plain,
sdtlpdtrp0(xN,xi) = xS,
inference(light_normalisation,[status(thm)],[c_263,c_465]) ).
tcf(c_2211,plain,
( ~ isCountable0(xS)
| ~ aSubsetOf0(xS,szNzAzT0) ),
inference(light_normalisation,[status(thm)],[c_280,c_2021]) ).
tcf(c_2212,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2211,c_198,c_197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM571+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 04:42:19 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.40 Running first-order theorem proving
% 0.03/0.40 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
% 0.03/0.41
% 0.03/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.41
% 0.03/0.41 % Detected problem language: tptp
% 0.03/0.42 % Proving...
% 0.93/1.28 % SZS status Started for theBenchmark.p
% 0.93/1.28 % SZS status Theorem for theBenchmark.p
% 0.93/1.28
% 0.93/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.93/1.28
% 0.93/1.28 % ------ iProver source info
% 0.93/1.28
% 0.93/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 0.93/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.93/1.28 % git: non_committed_changes: false
% 0.93/1.28
% 0.93/1.28 % ------ Parsing...
% 0.93/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.93/1.28
% 0.93/1.28 % ------ Preprocessing...%
% 0.93/1.28
% 0.93/1.28 % SZS status Theorem for theBenchmark.p
% 0.93/1.28
% 0.93/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.93/1.28
% 0.93/1.28
%------------------------------------------------------------------------------