%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM545+2 : 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 : n009.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 02:25:57 PM UTC 2026
% Result : Theorem 4.55s 1.30s
% Output : CNFRefutation 4.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 49 ( 9 unt; 1 def)
% Number of atoms : 241 ( 6 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 284 ( 92 ~; 69 |; 100 &)
% ( 9 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-1 aty)
% Number of variables : 71 ( 0 sgn 61 !; 10 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( szszuzczcdt0(X0) != sz00
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
fof(f55,axiom,
( isFinite0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) )
& aSet0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1986) ).
fof(f56,axiom,
( ~ ( xS = slcrc0
& ~ ? [X0] : aElementOf0(X0,xS) )
=> ( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
& ! [X0] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(szmzazxdt0(xS)))
& aElementOf0(X0,szNzAzT0) ) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X0] :
( aElementOf0(X0,xS)
=> sdtlseqdt0(X0,szmzazxdt0(xS)) )
& aElementOf0(szmzazxdt0(xS),xS) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2035) ).
fof(f57,conjecture,
? [X0] :
( ( ( ! [X1] :
( aElementOf0(X1,slbdtrb0(X0))
<=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
& aElementOf0(X1,szNzAzT0) ) )
& aSet0(slbdtrb0(X0)) )
=> ( aSubsetOf0(xS,slbdtrb0(X0))
| ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,slbdtrb0(X0)) ) ) )
& aElementOf0(X0,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f58,negated_conjecture,
~ ? [X0] :
( ( ( ! [X1] :
( aElementOf0(X1,slbdtrb0(X0))
<=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
& aElementOf0(X1,szNzAzT0) ) )
& aSet0(slbdtrb0(X0)) )
=> ( aSubsetOf0(xS,slbdtrb0(X0))
| ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,slbdtrb0(X0)) ) ) )
& aElementOf0(X0,szNzAzT0) ),
inference(negated_conjecture,[status(cth)],[f57]) ).
fof(f65,plain,
( ~ ( xS = slcrc0
& ~ ? [X0] : aElementOf0(X0,xS) )
=> ( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X3] :
( aElementOf0(X3,xS)
=> aElementOf0(X3,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
& ! [X2] :
( aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS)))
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(X1,szmzazxdt0(xS)) )
& aElementOf0(szmzazxdt0(xS),xS) ) ),
inference(rectify,[],[f56]) ).
fof(f66,plain,
~ ? [X0] :
( ( ( ! [X1] :
( aElementOf0(X1,slbdtrb0(X0))
<=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
& aElementOf0(X1,szNzAzT0) ) )
& aSet0(slbdtrb0(X0)) )
=> ( aSubsetOf0(xS,slbdtrb0(X0))
| ! [X2] :
( aElementOf0(X2,xS)
=> aElementOf0(X2,slbdtrb0(X0)) ) ) )
& aElementOf0(X0,szNzAzT0) ),
inference(rectify,[],[f58]) ).
fof(f97,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( szszuzczcdt0(X0) != sz00
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f138,plain,
( isFinite0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) )
& aSet0(xS) ),
inference(ennf_transformation,[],[f55]) ).
fof(f139,plain,
( ( xS = slcrc0
& ! [X0] : ~ aElementOf0(X0,xS) )
| ( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X3] :
( ~ aElementOf0(X3,xS)
| aElementOf0(X3,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
& ! [X2] :
( aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS)))
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X1] :
( ~ aElementOf0(X1,xS)
| sdtlseqdt0(X1,szmzazxdt0(xS)) )
& aElementOf0(szmzazxdt0(xS),xS) ) ),
inference(ennf_transformation,[],[f65]) ).
fof(f140,plain,
! [X0] :
( ( ! [X1] :
( aElementOf0(X1,slbdtrb0(X0))
<=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
& aElementOf0(X1,szNzAzT0) ) )
& aSet0(slbdtrb0(X0))
& ~ aSubsetOf0(xS,slbdtrb0(X0))
& ? [X2] :
( aElementOf0(X2,xS)
& ~ aElementOf0(X2,slbdtrb0(X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f141,plain,
! [X0] :
( ( ! [X1] :
( aElementOf0(X1,slbdtrb0(X0))
<=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
& aElementOf0(X1,szNzAzT0) ) )
& aSet0(slbdtrb0(X0))
& ~ aSubsetOf0(xS,slbdtrb0(X0))
& ? [X2] :
( aElementOf0(X2,xS)
& ~ aElementOf0(X2,slbdtrb0(X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f140]) ).
fof(f193,plain,
! [X0] :
( ( ! [X1] :
( ( ~ aElementOf0(X1,slbdtrb0(X0))
| ( sdtlseqdt0(szszuzczcdt0(X1),X0)
& aElementOf0(X1,szNzAzT0) ) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(X0)) ) )
& aSet0(slbdtrb0(X0))
& ~ aSubsetOf0(xS,slbdtrb0(X0))
& ? [X2] :
( aElementOf0(X2,xS)
& ~ aElementOf0(X2,slbdtrb0(X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f141]) ).
fof(f194,plain,
! [X0] :
( ( ! [X1] :
( ( ~ aElementOf0(X1,slbdtrb0(X0))
| ( sdtlseqdt0(szszuzczcdt0(X1),X0)
& aElementOf0(X1,szNzAzT0) ) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(X0)) ) )
& aSet0(slbdtrb0(X0))
& ~ aSubsetOf0(xS,slbdtrb0(X0))
& ? [X2] :
( aElementOf0(X2,xS)
& ~ aElementOf0(X2,slbdtrb0(X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f193]) ).
fof(f195,plain,
! [X0] :
( ( ! [X2] :
( ( ~ aElementOf0(X2,slbdtrb0(X0))
| ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| aElementOf0(X2,slbdtrb0(X0)) ) )
& aSet0(slbdtrb0(X0))
& ~ aSubsetOf0(xS,slbdtrb0(X0))
& ? [X1] :
( aElementOf0(X1,xS)
& ~ aElementOf0(X1,slbdtrb0(X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(rectify,[],[f194]) ).
fof(f196,plain,
! [X0] :
( ( ! [X2] :
( ( ~ aElementOf0(X2,slbdtrb0(X0))
| ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| aElementOf0(X2,slbdtrb0(X0)) ) )
& aSet0(slbdtrb0(X0))
& ~ aSubsetOf0(xS,slbdtrb0(X0))
& aElementOf0(sK14(X0),xS)
& ~ aElementOf0(sK14(X0),slbdtrb0(X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X1,sK14(X0))],[f195]) ).
fof(f244,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f246,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f295,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f306,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| sP4 ),
inference(cnf_transformation,[],[f149]) ).
fof(f312,plain,
! [X0] :
( aElementOf0(sK14(X0),xS)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f313,plain,
! [X0] :
( ~ aElementOf0(sK14(X0),slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_96,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f244]) ).
tcf(c_97,plain,
! [X0: $i] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_146,plain,
! [X0: $i] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_157,plain,
! [X0: $i] :
( sP4
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f306]) ).
tcf(c_159,negated_conjecture,
! [X0: $i] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sK14(X0),slbdtrb0(X0)) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_160,negated_conjecture,
! [X0: $i] :
( aElementOf0(sK14(X0),xS)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_8828,negated_conjecture,
! [X0: $i] :
( aElementOf0(sK14(X0),xS)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(demodulation,[status(thm)],[c_160]) ).
tcf(c_8829,negated_conjecture,
! [X0: $i] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sK14(X0),slbdtrb0(X0)) ),
inference(demodulation,[status(thm)],[c_159]) ).
tcf(c_10554,plain,
! [X0: $i] :
( sP4
| ~ aElementOf0(X0,szNzAzT0) ),
inference(superposition,[status(thm)],[c_8828,c_157]) ).
tcf(c_10562,plain,
sP4,
inference(superposition,[status(thm)],[c_96,c_10554]) ).
fof(f148,definition,
( ~ sP4
| ( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X3] :
( ~ aElementOf0(X3,xS)
| aElementOf0(X3,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
& ! [X2] :
( aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS)))
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X1] :
( ~ aElementOf0(X1,xS)
| sdtlseqdt0(X1,szmzazxdt0(xS)) )
& aElementOf0(szmzazxdt0(xS),xS) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f149,plain,
( ( xS = slcrc0
& ! [X0] : ~ aElementOf0(X0,xS) )
| sP4 ),
inference(definition_folding,[],[f139,f148]) ).
fof(f190,plain,
( ~ sP4
| ( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X3] :
( ~ aElementOf0(X3,xS)
| aElementOf0(X3,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
& ! [X2] :
( ( ~ aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ( sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS)))
& aElementOf0(X2,szNzAzT0) ) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS)))
| ~ aElementOf0(X2,szNzAzT0)
| aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X1] :
( ~ aElementOf0(X1,xS)
| sdtlseqdt0(X1,szmzazxdt0(xS)) )
& aElementOf0(szmzazxdt0(xS),xS) ) ),
inference(nnf_transformation,[],[f148]) ).
fof(f191,plain,
( ~ sP4
| ( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X3] :
( ~ aElementOf0(X3,xS)
| aElementOf0(X3,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
& ! [X2] :
( ( ~ aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ( sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS)))
& aElementOf0(X2,szNzAzT0) ) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS)))
| ~ aElementOf0(X2,szNzAzT0)
| aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X1] :
( ~ aElementOf0(X1,xS)
| sdtlseqdt0(X1,szmzazxdt0(xS)) )
& aElementOf0(szmzazxdt0(xS),xS) ) ),
inference(flattening,[],[f190]) ).
fof(f192,plain,
( ~ sP4
| ( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X2] :
( ~ aElementOf0(X2,xS)
| aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
& ! [X1] :
( ( ~ aElementOf0(X1,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(szmzazxdt0(xS)))
& aElementOf0(X1,szNzAzT0) ) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(szmzazxdt0(xS)))
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X0] :
( ~ aElementOf0(X0,xS)
| sdtlseqdt0(X0,szmzazxdt0(xS)) )
& aElementOf0(szmzazxdt0(xS),xS) ) ),
inference(rectify,[],[f191]) ).
fof(f298,plain,
! [X2] :
( ~ sP4
| ~ aElementOf0(X2,xS)
| aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
inference(cnf_transformation,[],[f192]) ).
fof(f304,plain,
( ~ sP4
| aElementOf0(szmzazxdt0(xS),xS) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_149,plain,
( aElementOf0(szmzazxdt0(xS),xS)
| ~ sP4 ),
inference(cnf_transformation,[],[f304]) ).
tcf(c_155,plain,
! [X0: $i] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ sP4
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_249,plain,
! [X0: $i] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X0,xS) ),
inference(global_subsumption_just,[status(thm)],[c_155,c_157,c_155]) ).
tcf(c_10569,plain,
( ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)
| ~ aElementOf0(sK14(szszuzczcdt0(szmzazxdt0(xS))),xS) ),
inference(superposition,[status(thm)],[c_249,c_8829]) ).
tcf(c_10588,plain,
aElementOf0(szmzazxdt0(xS),xS),
inference(global_subsumption_just,[status(thm)],[c_149,c_149,c_10562]) ).
tcf(c_10596,plain,
~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0),
inference(forward_subsumption_resolution,[status(thm)],[c_10569,c_8828]) ).
tcf(c_10621,plain,
aElementOf0(szmzazxdt0(xS),szNzAzT0),
inference(superposition,[status(thm)],[c_10588,c_146]) ).
tcf(c_10666,plain,
~ aElementOf0(szmzazxdt0(xS),szNzAzT0),
inference(superposition,[status(thm)],[c_97,c_10596]) ).
tcf(c_10675,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_10666,c_10621]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM545+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n009.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Thu Sep 24 04:33:13 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 4.55/1.30 % SZS status Started for theBenchmark.p
% 4.55/1.30 % SZS status Theorem for theBenchmark.p
% 4.55/1.30
% 4.55/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.55/1.30
% 4.55/1.30 % ------ iProver source info
% 4.55/1.30
% 4.55/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 4.55/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.55/1.30 % git: non_committed_changes: false
% 4.55/1.30
% 4.55/1.30 % ------ Parsing...
% 4.55/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.55/1.30
% 4.55/1.30 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.55/1.30
% 4.55/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.55/1.30
% 4.55/1.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.55/1.30 % ------ Proving...
% 4.55/1.30 % ------ Problem Properties
% 4.55/1.30
% 4.55/1.30 %
% 4.55/1.30 % clauses 111
% 4.55/1.30 % conjectures 7
% 4.55/1.30 % EPR 35
% 4.55/1.30 % Horn 83
% 4.55/1.30 % unary 12
% 4.55/1.30 % binary 26
% 4.55/1.30 % lits 357
% 4.55/1.30 % lits eq 47
% 4.55/1.30 % fd_pure 0
% 4.55/1.30 % fd_pseudo 0
% 4.55/1.30 % fd_cond 8
% 4.55/1.30 % fd_pseudo_cond 15
% 4.55/1.30 % AC symbols 0
% 4.55/1.30
% 4.55/1.30 % ------ Schedule dynamic 5 is on
% 4.55/1.30
% 4.55/1.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.55/1.30
% 4.55/1.30
% 4.55/1.30 % ------
% 4.55/1.30 % Current options:
% 4.55/1.30 % ------
% 4.55/1.30
% 4.55/1.30
% 4.55/1.30 %
% 4.55/1.30
% 4.55/1.30 % ------ Proving...
% 4.55/1.30 %
% 4.55/1.30
% 4.55/1.30 % SZS status Theorem for theBenchmark.p
% 4.55/1.30
% 4.55/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.55/1.30
% 4.55/1.30
%------------------------------------------------------------------------------