%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM574+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 : n012.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 9.71s 2.03s
% Output : CNFRefutation 9.71s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f532ERROR: Could not build tree for root c_41472ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ? [X1] :
( X0 = szszuzczcdt0(X1)
& aElementOf0(X1,szNzAzT0) )
| X0 = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtra) ).
fof(f30,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(sz00,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroLess) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
fof(f83,axiom,
( aElementOf0(xi,szNzAzT0)
& aElementOf0(xj,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3786) ).
fof(f86,conjecture,
( sdtlseqdt0(xj,xi)
=> ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
| ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> aElementOf0(X0,sdtlpdtrp0(xN,xj)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f87,negated_conjecture,
~ ( sdtlseqdt0(xj,xi)
=> ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
| ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> aElementOf0(X0,sdtlpdtrp0(xN,xj)) ) ) ),
inference(negated_conjecture,[status(cth)],[f86]) ).
fof(f111,plain,
( sdtlseqdt0(xj,xi)
& ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
& ? [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
& ~ aElementOf0(X0,sdtlpdtrp0(xN,xj)) ) ),
inference(ennf_transformation,[],[f87]) ).
fof(f112,plain,
( sdtlseqdt0(xj,xi)
& ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
& ? [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
& ~ aElementOf0(X0,sdtlpdtrp0(xN,xj)) ) ),
inference(flattening,[],[f111]) ).
fof(f152,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f153,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ? [X1] :
( X0 = szszuzczcdt0(X1)
& aElementOf0(X1,szNzAzT0) )
| X0 = sz00 ),
inference(ennf_transformation,[],[f27]) ).
fof(f154,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ? [X1] :
( X0 = szszuzczcdt0(X1)
& aElementOf0(X1,szNzAzT0) )
| X0 = sz00 ),
inference(flattening,[],[f153]) ).
fof(f178,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f35]) ).
fof(f179,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f178]) ).
fof(f238,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))],[f210]) ).
fof(f240,plain,
( sdtlseqdt0(xj,xi)
& ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
& aElementOf0(sK21,sdtlpdtrp0(xN,xi))
& ~ aElementOf0(sK21,sdtlpdtrp0(xN,xj)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(X0,sK21)],[f112]) ).
fof(f258,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( szszuzczcdt0(sK31(X0)) = X0
& aElementOf0(sK31(X0),szNzAzT0) )
| X0 = sz00 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(X1,sK31(X0))],[f154]) ).
fof(f360,plain,
xS = sdtlpdtrp0(xN,sz00),
inference(cnf_transformation,[],[f238]) ).
fof(f367,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f83]) ).
fof(f368,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[],[f83]) ).
fof(f373,plain,
sdtlseqdt0(xj,xi),
inference(cnf_transformation,[],[f240]) ).
fof(f374,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)),
inference(cnf_transformation,[],[f240]) ).
fof(f375,plain,
aElementOf0(sK21,sdtlpdtrp0(xN,xi)),
inference(cnf_transformation,[],[f240]) ).
fof(f376,plain,
~ aElementOf0(sK21,sdtlpdtrp0(xN,xj)),
inference(cnf_transformation,[],[f240]) ).
fof(f427,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f428,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(sK31(X0)) = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f258]) ).
fof(f429,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sK31(X0),szNzAzT0)
| sz00 = X0 ),
inference(cnf_transformation,[],[f258]) ).
fof(f432,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f458,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_120,plain,
sdtlpdtrp0(xN,sz00) = xS,
inference(cnf_transformation,[],[f360]) ).
tcf(c_128,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[],[f368]) ).
tcf(c_129,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f367]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X1,sdtlpdtrp0(xN,xj))
| ~ sdtlseqdt0(xj,xi)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
| ( szszuzczcdt0(X0) != xi ) ),
inference(cnf_transformation,[],[f532]) ).
tcf(c_133,plain,
! [X0: $i] :
( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
| ~ sdtlseqdt0(xj,xi)
| ~ aElementOf0(X0,szNzAzT0)
| ( szszuzczcdt0(X0) != xi ) ),
inference(cnf_transformation,[],[f533]) ).
tcf(c_134,negated_conjecture,
~ aElementOf0(sK21,sdtlpdtrp0(xN,xj)),
inference(cnf_transformation,[],[f376]) ).
tcf(c_135,negated_conjecture,
aElementOf0(sK21,sdtlpdtrp0(xN,xi)),
inference(cnf_transformation,[],[f375]) ).
tcf(c_136,negated_conjecture,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)),
inference(cnf_transformation,[],[f374]) ).
tcf(c_137,negated_conjecture,
sdtlseqdt0(xj,xi),
inference(cnf_transformation,[],[f373]) ).
tcf(c_188,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f427]) ).
tcf(c_189,plain,
! [X0: $i] :
( aElementOf0(sK31(X0),szNzAzT0)
| ( X0 = sz00 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f429]) ).
tcf(c_190,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( szszuzczcdt0(sK31(X0)) = X0 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f428]) ).
tcf(c_193,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f432]) ).
tcf(c_219,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f458]) ).
tcf(c_428,plain,
! [X0: $i] :
( ~ aElementOf0(X0,szNzAzT0)
| ( szszuzczcdt0(X0) != xi ) ),
inference(global_subsumption_just,[status(thm)],[c_133,c_137,c_136,c_133]) ).
tcf(c_435,plain,
! [X0: $i] :
( ~ aElementOf0(X0,szNzAzT0)
| ( szszuzczcdt0(X0) != xi ) ),
inference(global_subsumption_just,[status(thm)],[c_132,c_428]) ).
tcf(c_22530,plain,
sdtlseqdt0(sz00,xj),
inference(superposition,[status(thm)],[c_128,c_188]) ).
tcf(c_25391,plain,
( ( sz00 = xi )
| ( szszuzczcdt0(sK31(xi)) = xi ) ),
inference(superposition,[status(thm)],[c_129,c_190]) ).
tcf(c_30458,plain,
( ( sz00 = xj )
| ~ sdtlseqdt0(xj,sz00)
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(superposition,[status(thm)],[c_22530,c_219]) ).
tcf(c_30500,plain,
( ( sz00 = xj )
| ~ sdtlseqdt0(xj,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30458,c_128,c_193]) ).
tcf(c_41268,plain,
( ( sz00 = xi )
| ~ aElementOf0(sK31(xi),szNzAzT0) ),
inference(superposition,[status(thm)],[c_25391,c_435]) ).
tcf(c_41391,plain,
( ( sz00 = xi )
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[status(thm)],[c_189,c_41268]) ).
tcf(c_41392,plain,
sz00 = xi,
inference(forward_subsumption_resolution,[status(thm)],[c_41391,c_129]) ).
tcf(c_41430,plain,
aElementOf0(sK21,sdtlpdtrp0(xN,sz00)),
inference(demodulation,[status(thm)],[c_135,c_41392]) ).
tcf(c_41431,plain,
sdtlseqdt0(xj,sz00),
inference(demodulation,[status(thm)],[c_137,c_41392]) ).
tcf(c_41432,plain,
sz00 = xj,
inference(backward_subsumption_resolution,[status(thm)],[c_30500,c_41431]) ).
tcf(c_41456,plain,
~ aElementOf0(sK21,sdtlpdtrp0(xN,sz00)),
inference(demodulation,[status(thm)],[c_134,c_41432]) ).
tcf(c_41457,plain,
~ aElementOf0(sK21,xS),
inference(light_normalisation,[status(thm)],[c_41456,c_120]) ).
tcf(c_41471,plain,
aElementOf0(sK21,xS),
inference(light_normalisation,[status(thm)],[c_41430,c_120]) ).
tcf(c_41472,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_41457,c_41471]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM574+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Thu Sep 24 04:42:06 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 0.07/0.34
% 0.07/0.34 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.34
% 0.07/0.34 % Detected problem language: tptp
% 0.07/0.34 % Proving...
% 9.71/2.03 % SZS status Started for theBenchmark.p
% 9.71/2.03 % SZS status Theorem for theBenchmark.p
% 9.71/2.03
% 9.71/2.03 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 9.71/2.03
% 9.71/2.03 % ------ iProver source info
% 9.71/2.03
% 9.71/2.03 % git: date: 2026-07-19 20:42:38 +0200
% 9.71/2.03 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 9.71/2.03 % git: non_committed_changes: false
% 9.71/2.03
% 9.71/2.03 % ------ Parsing...
% 9.71/2.03 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 9.71/2.03
% 9.71/2.03 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e %
% 9.71/2.03
% 9.71/2.03 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 9.71/2.03
% 9.71/2.03 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 9.71/2.03 % ------ Proving...
% 9.71/2.03 % ------ Problem Properties
% 9.71/2.03
% 9.71/2.03 %
% 9.71/2.03 % clauses 219
% 9.71/2.03 % conjectures 4
% 9.71/2.03 % EPR 44
% 9.71/2.03 % Horn 165
% 9.71/2.03 % unary 31
% 9.71/2.03 % binary 51
% 9.71/2.03 % lits 717
% 9.71/2.03 % lits eq 101
% 9.71/2.03 % fd_pure 0
% 9.71/2.03 % fd_pseudo 0
% 9.71/2.03 % fd_cond 8
% 9.71/2.03 % fd_pseudo_cond 28
% 9.71/2.03 % AC symbols 0
% 9.71/2.03
% 9.71/2.03 % ------ Schedule dynamic 5 is on
% 9.71/2.03
% 9.71/2.03 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.71/2.03
% 9.71/2.03
% 9.71/2.03 % ------
% 9.71/2.03 % Current options:
% 9.71/2.03 % ------
% 9.71/2.03
% 9.71/2.03
% 9.71/2.03 %
% 9.71/2.03
% 9.71/2.03 % ------ Proving...
% 9.71/2.03 %
% 9.71/2.03
% 9.71/2.03 % SZS status Theorem for theBenchmark.p
% 9.71/2.03
% 9.71/2.03 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.71/2.03
% 9.71/2.03
%------------------------------------------------------------------------------