%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG093+2 : 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 : 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 02:38:50 PM UTC 2026
% Result : Theorem 3.65s 1.28s
% Output : CNFRefutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of formulae : 66 ( 14 unt; 3 def)
% Number of atoms : 291 ( 3 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 283 ( 95 ~; 83 |; 76 &)
% ( 5 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 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 : 9 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 76 ( 0 sgn 61 !; 15 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
( aIdeal0(xJ)
& ! [X0] :
( aElementOf0(X0,xJ)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xJ) )
& ! [X1] :
( aElementOf0(X1,xJ)
=> aElementOf0(sdtpldt0(X0,X1),xJ) ) ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xI) )
& ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) ) ) )
& aSet0(xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1150) ).
fof(f27,conjecture,
( ( ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
<=> ( aElementOf0(X0,xJ)
& aElementOf0(X0,xI) ) )
& aSet0(sdtasasdt0(xI,xJ)) )
=> ( aIdeal0(sdtasasdt0(xI,xJ))
| ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),sdtasasdt0(xI,xJ)) )
& ! [X1] :
( aElementOf0(X1,sdtasasdt0(xI,xJ))
=> aElementOf0(sdtpldt0(X0,X1),sdtasasdt0(xI,xJ)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f28,negated_conjecture,
~ ( ( ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
<=> ( aElementOf0(X0,xJ)
& aElementOf0(X0,xI) ) )
& aSet0(sdtasasdt0(xI,xJ)) )
=> ( aIdeal0(sdtasasdt0(xI,xJ))
| ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),sdtasasdt0(xI,xJ)) )
& ! [X1] :
( aElementOf0(X1,sdtasasdt0(xI,xJ))
=> aElementOf0(sdtpldt0(X0,X1),sdtasasdt0(xI,xJ)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f33,plain,
( aIdeal0(xJ)
& ! [X3] :
( aElementOf0(X3,xJ)
=> ( ! [X5] :
( aElement0(X5)
=> aElementOf0(sdtasdt0(X5,X3),xJ) )
& ! [X4] :
( aElementOf0(X4,xJ)
=> aElementOf0(sdtpldt0(X3,X4),xJ) ) ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X0),xI) )
& ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) ) ) )
& aSet0(xI) ),
inference(rectify,[],[f26]) ).
fof(f34,plain,
~ ( ( ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
<=> ( aElementOf0(X0,xJ)
& aElementOf0(X0,xI) ) )
& aSet0(sdtasasdt0(xI,xJ)) )
=> ( aIdeal0(sdtasasdt0(xI,xJ))
| ! [X1] :
( aElementOf0(X1,sdtasasdt0(xI,xJ))
=> ( ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X1),sdtasasdt0(xI,xJ)) )
& ! [X2] :
( aElementOf0(X2,sdtasasdt0(xI,xJ))
=> aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ)) ) ) ) ) ),
inference(rectify,[],[f28]) ).
fof(f67,plain,
( aIdeal0(xJ)
& ! [X3] :
( ~ aElementOf0(X3,xJ)
| ( ! [X5] :
( ~ aElement0(X5)
| aElementOf0(sdtasdt0(X5,X3),xJ) )
& ! [X4] :
( ~ aElementOf0(X4,xJ)
| aElementOf0(sdtpldt0(X3,X4),xJ) ) ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X0] :
( ~ aElementOf0(X0,xI)
| ( ! [X2] :
( ~ aElement0(X2)
| aElementOf0(sdtasdt0(X2,X0),xI) )
& ! [X1] :
( ~ aElementOf0(X1,xI)
| aElementOf0(sdtpldt0(X0,X1),xI) ) ) )
& aSet0(xI) ),
inference(ennf_transformation,[],[f33]) ).
fof(f68,plain,
( ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
<=> ( aElementOf0(X0,xJ)
& aElementOf0(X0,xI) ) )
& aSet0(sdtasasdt0(xI,xJ))
& ~ aIdeal0(sdtasasdt0(xI,xJ))
& ? [X1] :
( aElementOf0(X1,sdtasasdt0(xI,xJ))
& ( ? [X3] :
( aElement0(X3)
& ~ aElementOf0(sdtasdt0(X3,X1),sdtasasdt0(xI,xJ)) )
| ? [X2] :
( aElementOf0(X2,sdtasasdt0(xI,xJ))
& ~ aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ)) ) ) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f69,plain,
( ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
<=> ( aElementOf0(X0,xJ)
& aElementOf0(X0,xI) ) )
& aSet0(sdtasasdt0(xI,xJ))
& ~ aIdeal0(sdtasasdt0(xI,xJ))
& ? [X1] :
( aElementOf0(X1,sdtasasdt0(xI,xJ))
& ( ? [X3] :
( aElement0(X3)
& ~ aElementOf0(sdtasdt0(X3,X1),sdtasasdt0(xI,xJ)) )
| ? [X2] :
( aElementOf0(X2,sdtasasdt0(xI,xJ))
& ~ aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ)) ) ) ) ),
inference(flattening,[],[f68]) ).
fof(f88,plain,
( ! [X0] :
( ( ~ aElementOf0(X0,sdtasasdt0(xI,xJ))
| ( aElementOf0(X0,xJ)
& aElementOf0(X0,xI) ) )
& ( ~ aElementOf0(X0,xJ)
| ~ aElementOf0(X0,xI)
| aElementOf0(X0,sdtasasdt0(xI,xJ)) ) )
& aSet0(sdtasasdt0(xI,xJ))
& ~ aIdeal0(sdtasasdt0(xI,xJ))
& ? [X1] :
( aElementOf0(X1,sdtasasdt0(xI,xJ))
& ( ? [X3] :
( aElement0(X3)
& ~ aElementOf0(sdtasdt0(X3,X1),sdtasasdt0(xI,xJ)) )
| ? [X2] :
( aElementOf0(X2,sdtasasdt0(xI,xJ))
& ~ aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ)) ) ) ) ),
inference(nnf_transformation,[],[f69]) ).
fof(f89,plain,
( ! [X0] :
( ( ~ aElementOf0(X0,sdtasasdt0(xI,xJ))
| ( aElementOf0(X0,xJ)
& aElementOf0(X0,xI) ) )
& ( ~ aElementOf0(X0,xJ)
| ~ aElementOf0(X0,xI)
| aElementOf0(X0,sdtasasdt0(xI,xJ)) ) )
& aSet0(sdtasasdt0(xI,xJ))
& ~ aIdeal0(sdtasasdt0(xI,xJ))
& ? [X1] :
( aElementOf0(X1,sdtasasdt0(xI,xJ))
& ( ? [X3] :
( aElement0(X3)
& ~ aElementOf0(sdtasdt0(X3,X1),sdtasasdt0(xI,xJ)) )
| ? [X2] :
( aElementOf0(X2,sdtasasdt0(xI,xJ))
& ~ aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ)) ) ) ) ),
inference(flattening,[],[f88]) ).
fof(f90,plain,
( ! [X3] :
( ( ~ aElementOf0(X3,sdtasasdt0(xI,xJ))
| ( aElementOf0(X3,xJ)
& aElementOf0(X3,xI) ) )
& ( ~ aElementOf0(X3,xJ)
| ~ aElementOf0(X3,xI)
| aElementOf0(X3,sdtasasdt0(xI,xJ)) ) )
& aSet0(sdtasasdt0(xI,xJ))
& ~ aIdeal0(sdtasasdt0(xI,xJ))
& ? [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
& ( ? [X2] :
( aElement0(X2)
& ~ aElementOf0(sdtasdt0(X2,X0),sdtasasdt0(xI,xJ)) )
| ? [X1] :
( aElementOf0(X1,sdtasasdt0(xI,xJ))
& ~ aElementOf0(sdtpldt0(X0,X1),sdtasasdt0(xI,xJ)) ) ) ) ),
inference(rectify,[],[f89]) ).
fof(f91,plain,
( ! [X3] :
( ( ~ aElementOf0(X3,sdtasasdt0(xI,xJ))
| ( aElementOf0(X3,xJ)
& aElementOf0(X3,xI) ) )
& ( ~ aElementOf0(X3,xJ)
| ~ aElementOf0(X3,xI)
| aElementOf0(X3,sdtasasdt0(xI,xJ)) ) )
& aSet0(sdtasasdt0(xI,xJ))
& ~ aIdeal0(sdtasasdt0(xI,xJ))
& aElementOf0(sK13,sdtasasdt0(xI,xJ))
& ( ( aElement0(sK15)
& ~ aElementOf0(sdtasdt0(sK15,sK13),sdtasasdt0(xI,xJ)) )
| ( aElementOf0(sK14,sdtasasdt0(xI,xJ))
& ~ aElementOf0(sdtpldt0(sK13,sK14),sdtasasdt0(xI,xJ)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15]),skolemize(X0,sK13),skolemize(X1,sK14),skolemize(X2,sK15)],[f90]) ).
fof(f149,plain,
! [X3,X5] :
( ~ aElementOf0(X3,xJ)
| ~ aElement0(X5)
| aElementOf0(sdtasdt0(X5,X3),xJ) ),
inference(cnf_transformation,[],[f67]) ).
fof(f150,plain,
! [X3,X4] :
( ~ aElementOf0(X3,xJ)
| ~ aElementOf0(X4,xJ)
| aElementOf0(sdtpldt0(X3,X4),xJ) ),
inference(cnf_transformation,[],[f67]) ).
fof(f153,plain,
! [X2,X0] :
( ~ aElementOf0(X0,xI)
| ~ aElement0(X2)
| aElementOf0(sdtasdt0(X2,X0),xI) ),
inference(cnf_transformation,[],[f67]) ).
fof(f154,plain,
! [X0,X1] :
( ~ aElementOf0(X0,xI)
| ~ aElementOf0(X1,xI)
| aElementOf0(sdtpldt0(X0,X1),xI) ),
inference(cnf_transformation,[],[f67]) ).
fof(f156,plain,
! [X3] :
( ~ aElementOf0(X3,sdtasasdt0(xI,xJ))
| aElementOf0(X3,xJ) ),
inference(cnf_transformation,[],[f91]) ).
fof(f157,plain,
! [X3] :
( ~ aElementOf0(X3,sdtasasdt0(xI,xJ))
| aElementOf0(X3,xI) ),
inference(cnf_transformation,[],[f91]) ).
fof(f158,plain,
! [X3] :
( ~ aElementOf0(X3,xJ)
| ~ aElementOf0(X3,xI)
| aElementOf0(X3,sdtasasdt0(xI,xJ)) ),
inference(cnf_transformation,[],[f91]) ).
fof(f161,plain,
aElementOf0(sK13,sdtasasdt0(xI,xJ)),
inference(cnf_transformation,[],[f91]) ).
fof(f162,plain,
( aElement0(sK15)
| aElementOf0(sK14,sdtasasdt0(xI,xJ)) ),
inference(cnf_transformation,[],[f91]) ).
fof(f163,plain,
( ~ aElementOf0(sdtasdt0(sK15,sK13),sdtasasdt0(xI,xJ))
| aElementOf0(sK14,sdtasasdt0(xI,xJ)) ),
inference(cnf_transformation,[],[f91]) ).
fof(f164,plain,
( aElement0(sK15)
| ~ aElementOf0(sdtpldt0(sK13,sK14),sdtasasdt0(xI,xJ)) ),
inference(cnf_transformation,[],[f91]) ).
fof(f165,plain,
( ~ aElementOf0(sdtasdt0(sK15,sK13),sdtasasdt0(xI,xJ))
| ~ aElementOf0(sdtpldt0(sK13,sK14),sdtasasdt0(xI,xJ)) ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sdtpldt0(X0,X1),xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sdtasdt0(X1,X0),xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sdtpldt0(X1,X0),xJ)
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xJ) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sdtasdt0(X1,X0),xJ)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xJ) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_113,negated_conjecture,
( ~ aElementOf0(sdtasdt0(sK15,sK13),sdtasasdt0(xI,xJ))
| ~ aElementOf0(sdtpldt0(sK13,sK14),sdtasasdt0(xI,xJ)) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_114,negated_conjecture,
( aElement0(sK15)
| ~ aElementOf0(sdtpldt0(sK13,sK14),sdtasasdt0(xI,xJ)) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_115,negated_conjecture,
( aElementOf0(sK14,sdtasasdt0(xI,xJ))
| ~ aElementOf0(sdtasdt0(sK15,sK13),sdtasasdt0(xI,xJ)) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_116,negated_conjecture,
( aElement0(sK15)
| aElementOf0(sK14,sdtasasdt0(xI,xJ)) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_117,negated_conjecture,
aElementOf0(sK13,sdtasasdt0(xI,xJ)),
inference(cnf_transformation,[],[f161]) ).
tcf(c_120,negated_conjecture,
! [X0: $i] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
| ~ aElementOf0(X0,xJ)
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_121,negated_conjecture,
! [X0: $i] :
( aElementOf0(X0,xI)
| ~ aElementOf0(X0,sdtasasdt0(xI,xJ)) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_122,negated_conjecture,
! [X0: $i] :
( aElementOf0(X0,xJ)
| ~ aElementOf0(X0,sdtasasdt0(xI,xJ)) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_3210,definition,
iPr_def_10 = sdtasasdt0(xI,xJ),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_3211,definition,
iPr_def_11 = sdtasdt0(sK15,sK13),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_3212,definition,
iPr_def_12 = sdtpldt0(sK13,sK14),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_3213,negated_conjecture,
! [X0: $i] :
( aElementOf0(X0,xJ)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(demodulation,[status(thm)],[c_122,c_3210]) ).
tcf(c_3214,negated_conjecture,
! [X0: $i] :
( aElementOf0(X0,xI)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(demodulation,[status(thm)],[c_121]) ).
tcf(c_3215,negated_conjecture,
! [X0: $i] :
( aElementOf0(X0,iPr_def_10)
| ~ aElementOf0(X0,xJ)
| ~ aElementOf0(X0,xI) ),
inference(demodulation,[status(thm)],[c_120]) ).
tcf(c_3218,negated_conjecture,
aElementOf0(sK13,iPr_def_10),
inference(demodulation,[status(thm)],[c_117]) ).
tcf(c_3219,negated_conjecture,
( aElement0(sK15)
| aElementOf0(sK14,iPr_def_10) ),
inference(demodulation,[status(thm)],[c_116]) ).
tcf(c_3220,negated_conjecture,
( aElementOf0(sK14,iPr_def_10)
| ~ aElementOf0(iPr_def_11,iPr_def_10) ),
inference(demodulation,[status(thm)],[c_115,c_3211]) ).
tcf(c_3221,negated_conjecture,
( aElement0(sK15)
| ~ aElementOf0(iPr_def_12,iPr_def_10) ),
inference(demodulation,[status(thm)],[c_114,c_3212]) ).
tcf(c_3222,negated_conjecture,
( ~ aElementOf0(iPr_def_12,iPr_def_10)
| ~ aElementOf0(iPr_def_11,iPr_def_10) ),
inference(demodulation,[status(thm)],[c_113]) ).
tcf(c_4280,plain,
aElementOf0(sK13,xJ),
inference(superposition,[status(thm)],[c_3218,c_3213]) ).
tcf(c_4288,plain,
aElementOf0(sK13,xI),
inference(superposition,[status(thm)],[c_3218,c_3214]) ).
tcf(c_5085,plain,
( aElementOf0(iPr_def_11,xI)
| ~ aElement0(sK15)
| ~ aElementOf0(sK13,xI) ),
inference(superposition,[status(thm)],[c_3211,c_107]) ).
tcf(c_5099,plain,
( aElementOf0(iPr_def_11,xI)
| ~ aElement0(sK15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5085,c_4288]) ).
tcf(c_5124,plain,
( aElementOf0(iPr_def_11,xJ)
| ~ aElement0(sK15)
| ~ aElementOf0(sK13,xJ) ),
inference(superposition,[status(thm)],[c_3211,c_111]) ).
tcf(c_5137,plain,
( aElementOf0(iPr_def_11,xJ)
| ~ aElement0(sK15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5124,c_4280]) ).
tcf(c_5157,plain,
( aElementOf0(iPr_def_11,iPr_def_10)
| ~ aElement0(sK15)
| ~ aElementOf0(iPr_def_11,xJ) ),
inference(superposition,[status(thm)],[c_5099,c_3215]) ).
tcf(c_5200,plain,
( aElementOf0(iPr_def_11,iPr_def_10)
| ~ aElement0(sK15) ),
inference(global_subsumption_just,[status(thm)],[c_5157,c_5137,c_5157]) ).
tcf(c_5209,plain,
( ~ aElement0(sK15)
| ~ aElementOf0(iPr_def_12,iPr_def_10) ),
inference(superposition,[status(thm)],[c_5200,c_3222]) ).
tcf(c_5210,plain,
( aElementOf0(sK14,iPr_def_10)
| ~ aElement0(sK15) ),
inference(superposition,[status(thm)],[c_5200,c_3220]) ).
tcf(c_5216,plain,
aElementOf0(sK14,iPr_def_10),
inference(global_subsumption_just,[status(thm)],[c_5210,c_3219,c_5210]) ).
tcf(c_5219,plain,
aElementOf0(sK14,xI),
inference(superposition,[status(thm)],[c_5216,c_3214]) ).
tcf(c_5220,plain,
aElementOf0(sK14,xJ),
inference(superposition,[status(thm)],[c_5216,c_3213]) ).
tcf(c_5300,plain,
( aElementOf0(iPr_def_12,xI)
| ~ aElementOf0(sK14,xI)
| ~ aElementOf0(sK13,xI) ),
inference(superposition,[status(thm)],[c_3212,c_106]) ).
tcf(c_5312,plain,
aElementOf0(iPr_def_12,xI),
inference(forward_subsumption_resolution,[status(thm)],[c_5300,c_5219,c_4288]) ).
tcf(c_5329,plain,
( aElementOf0(iPr_def_12,xJ)
| ~ aElementOf0(sK14,xJ)
| ~ aElementOf0(sK13,xJ) ),
inference(superposition,[status(thm)],[c_3212,c_110]) ).
tcf(c_5340,plain,
aElementOf0(iPr_def_12,xJ),
inference(forward_subsumption_resolution,[status(thm)],[c_5329,c_5220,c_4280]) ).
tcf(c_5471,plain,
( aElementOf0(iPr_def_12,iPr_def_10)
| ~ aElementOf0(iPr_def_12,xJ) ),
inference(superposition,[status(thm)],[c_5312,c_3215]) ).
tcf(c_5474,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5471,c_5340,c_5209,c_3221]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG093+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n005.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 08:11:03 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.42 % Detected problem language: tptp
% 0.13/0.43 % Proving...
% 3.65/1.28 % SZS status Started for theBenchmark.p
% 3.65/1.28 % SZS status Theorem for theBenchmark.p
% 3.65/1.28
% 3.65/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.65/1.28
% 3.65/1.28 % ------ iProver source info
% 3.65/1.28
% 3.65/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.65/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.65/1.28 % git: non_committed_changes: false
% 3.65/1.28
% 3.65/1.28 % ------ Parsing...
% 3.65/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.65/1.28
% 3.65/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.65/1.28
% 3.65/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.65/1.28
% 3.65/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.65/1.28 % ------ Proving...
% 3.65/1.28 % ------ Problem Properties
% 3.65/1.28
% 3.65/1.28 %
% 3.65/1.28 % clauses 76
% 3.65/1.28 % conjectures 10
% 3.65/1.28 % EPR 20
% 3.65/1.28 % Horn 62
% 3.65/1.28 % unary 13
% 3.65/1.28 % binary 19
% 3.65/1.28 % lits 225
% 3.65/1.28 % lits eq 34
% 3.65/1.28 % fd_pure 0
% 3.65/1.28 % fd_pseudo 0
% 3.65/1.28 % fd_cond 1
% 3.65/1.28 % fd_pseudo_cond 8
% 3.65/1.28 % AC symbols 0
% 3.65/1.28
% 3.65/1.28 % ------ Schedule dynamic 5 is on
% 3.65/1.28
% 3.65/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.65/1.28
% 3.65/1.28
% 3.65/1.28 % ------
% 3.65/1.28 % Current options:
% 3.65/1.28 % ------
% 3.65/1.28
% 3.65/1.28
% 3.65/1.28 %
% 3.65/1.28
% 3.65/1.28 % ------ Proving...
% 3.65/1.28 %
% 3.65/1.28
% 3.65/1.28 % SZS status Theorem for theBenchmark.p
% 3.65/1.28
% 3.65/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.65/1.28
% 3.65/1.28
%------------------------------------------------------------------------------