%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM582+3 : 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 02:26:06 PM UTC 2026
% Result : Theorem 16.09s 3.27s
% Output : CNFRefutation 16.09s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f215ERROR: Could not build tree for root c_38285ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
fof(f30,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(sz00,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroLess) ).
fof(f83,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> aElementOf0(X2,sdtlpdtrp0(xN,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3754) ).
fof(f85,axiom,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3989) ).
fof(f88,conjecture,
( aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
| ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> aElementOf0(X0,xS) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f89,negated_conjecture,
~ ( aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
| ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> aElementOf0(X0,xS) ) ),
inference(negated_conjecture,[status(cth)],[f88]) ).
fof(f111,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| aElementOf0(X2,sdtlpdtrp0(xN,X1)) ) ) ),
inference(ennf_transformation,[],[f83]) ).
fof(f112,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| aElementOf0(X2,sdtlpdtrp0(xN,X1)) ) ) ),
inference(flattening,[],[f111]) ).
fof(f117,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
& ? [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
& ~ aElementOf0(X0,xS) ) ),
inference(ennf_transformation,[],[f89]) ).
fof(f157,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f243,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ( aElementOf0(sK20(X0),sdtlpdtrp0(xN,X0))
& ~ aElementOf0(sK20(X0),szNzAzT0) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| sP5(X0) )
& sdtlpdtrp0(xN,sz00) = xS
& szDzozmdt0(xN) = szNzAzT0
& aFunction0(xN) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(X1,sK20(X0))],[f215]) ).
fof(f250,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
& aElementOf0(sK22,sdtlpdtrp0(xN,xi))
& ~ aElementOf0(sK22,xS) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(X0,sK22)],[f117]) ).
fof(f370,plain,
xS = sdtlpdtrp0(xN,sz00),
inference(cnf_transformation,[],[f243]) ).
fof(f378,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| aElementOf0(X2,sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f112]) ).
fof(f384,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f85]) ).
fof(f406,plain,
aElementOf0(sK22,sdtlpdtrp0(xN,xi)),
inference(cnf_transformation,[],[f250]) ).
fof(f407,plain,
~ aElementOf0(sK22,xS),
inference(cnf_transformation,[],[f250]) ).
fof(f458,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f463,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
tcf(c_120,plain,
sdtlpdtrp0(xN,sz00) = xS,
inference(cnf_transformation,[],[f370]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f378]) ).
tcf(c_135,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f384]) ).
tcf(c_156,negated_conjecture,
~ aElementOf0(sK22,xS),
inference(cnf_transformation,[],[f407]) ).
tcf(c_157,negated_conjecture,
aElementOf0(sK22,sdtlpdtrp0(xN,xi)),
inference(cnf_transformation,[],[f406]) ).
tcf(c_209,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f458]) ).
tcf(c_214,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f463]) ).
tcf(c_23802,plain,
sdtlseqdt0(sz00,xi),
inference(superposition,[status(thm)],[c_135,c_209]) ).
tcf(c_37650,plain,
! [X0: $i] :
( aElementOf0(sK22,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(xi,szNzAzT0)
| ~ sdtlseqdt0(X0,xi)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(superposition,[status(thm)],[c_157,c_128]) ).
tcf(c_37666,plain,
! [X0: $i] :
( aElementOf0(sK22,sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X0,xi)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37650,c_135]) ).
tcf(c_38274,plain,
( aElementOf0(sK22,xS)
| ~ sdtlseqdt0(sz00,xi)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(superposition,[status(thm)],[c_120,c_37666]) ).
tcf(c_38285,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_38274,c_156,c_23802,c_214]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM582+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n004.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 04:44:51 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 16.09/3.27 % SZS status Started for theBenchmark.p
% 16.09/3.27 % SZS status Theorem for theBenchmark.p
% 16.09/3.27
% 16.09/3.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 16.09/3.27
% 16.09/3.27 % ------ iProver source info
% 16.09/3.27
% 16.09/3.27 % git: date: 2026-07-19 20:42:38 +0200
% 16.09/3.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 16.09/3.27 % git: non_committed_changes: false
% 16.09/3.27
% 16.09/3.27 % ------ Parsing...
% 16.09/3.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 16.09/3.27
% 16.09/3.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e %
% 16.09/3.27
% 16.09/3.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 16.09/3.27
% 16.09/3.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 16.09/3.27 % ------ Proving...
% 16.09/3.27 % ------ Problem Properties
% 16.09/3.27
% 16.09/3.27 %
% 16.09/3.27 % clauses 239
% 16.09/3.27 % conjectures 3
% 16.09/3.27 % EPR 44
% 16.09/3.27 % Horn 182
% 16.09/3.27 % unary 38
% 16.09/3.27 % binary 57
% 16.09/3.27 % lits 766
% 16.09/3.27 % lits eq 108
% 16.09/3.27 % fd_pure 0
% 16.09/3.27 % fd_pseudo 0
% 16.09/3.27 % fd_cond 10
% 16.09/3.27 % fd_pseudo_cond 31
% 16.09/3.27 % AC symbols 0
% 16.09/3.27
% 16.09/3.27 % ------ Schedule dynamic 5 is on
% 16.09/3.27
% 16.09/3.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 16.09/3.27
% 16.09/3.27
% 16.09/3.27 % ------
% 16.09/3.27 % Current options:
% 16.09/3.27 % ------
% 16.09/3.27
% 16.09/3.27
% 16.09/3.27 %
% 16.09/3.27
% 16.09/3.27 % ------ Proving...
% 16.09/3.27 %
% 16.09/3.27
% 16.09/3.27 % SZS status Theorem for theBenchmark.p
% 16.09/3.27
% 16.09/3.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 16.09/3.27
% 16.09/3.27
%------------------------------------------------------------------------------